From 6ce277a2d63657916056de709811614cd21889f8 Mon Sep 17 00:00:00 2001 From: Ziming Liu Date: Sun, 11 Aug 2024 13:01:27 -0400 Subject: [PATCH] Delete tutorials directory --- .../API_10_device-checkpoint.ipynb | 173 - .../API_1_indexing-checkpoint.ipynb | 410 -- .../API_2_plotting-checkpoint.ipynb | 505 -- ...API_3_extract_activations-checkpoint.ipynb | 131 - .../API_4_initialization-checkpoint.ipynb | 235 - ...6_training_hyperparameter-checkpoint.ipynb | 340 -- .../API_7_pruning-checkpoint.ipynb | 277 - .../API_9_video-checkpoint.ipynb | 130 - .../API_create_dataset-checkpoint.ipynb | 136 - ...le_10_relativity-addition-checkpoint.ipynb | 376 -- ...mple_11_encouraing_linear-checkpoint.ipynb | 308 - ..._12_unsupervised_learning-checkpoint.ipynb | 324 - ...ample_13_phase_transition-checkpoint.ipynb | 192 - ...xample_14_knot_supervised-checkpoint.ipynb | 188 - ...mple_15_knot_unsupervised-checkpoint.ipynb | 163 - ...xample_1_function_fitting-checkpoint.ipynb | 288 - 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tutorials/Unchecked_protein_sequence_classification.ipynb delete mode 100644 tutorials/Unchecked_symbolic_regression.ipynb delete mode 100644 tutorials/todo diff --git a/tutorials/.ipynb_checkpoints/API_10_device-checkpoint.ipynb b/tutorials/.ipynb_checkpoints/API_10_device-checkpoint.ipynb deleted file mode 100644 index 99b43ede..00000000 --- a/tutorials/.ipynb_checkpoints/API_10_device-checkpoint.ipynb +++ /dev/null @@ -1,173 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "134e7f9d", - "metadata": {}, - "source": [ - "# Demo 10: Device\n", - "\n", - "All other demos have by default used device = 'cpu'. In case we want to use cuda, we should pass the device argument to model and dataset." - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "id": "7a4ac1e1-84ba-4bc3-91b6-a776a5e7711c", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "cpu\n" - ] - } - ], - "source": [ - "from kan import KAN, create_dataset\n", - "import torch\n", - "\n", - "torch.use_deterministic_algorithms(False)\n", - "\n", - "#device = torch.device('cuda' if torch.cuda.is_available() else 'cpu')\n", - "device = 'cpu'\n", - "print(device)" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "id": "2075ef56", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "checkpoint directory created: ./model\n", - "saving model version 0.0\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "| train_loss: 6.83e-01 | test_loss: 7.21e-01 | reg: 1.04e+03 | : 100%|█| 50/50 [00:19<00:00, 2.62it\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "saving model version 0.1\n" - ] - } - ], - "source": [ - "model = KAN(width=[4,100,100,100,1], grid=3, k=3, seed=0).to(device)\n", - "f = lambda x: torch.exp((torch.sin(torch.pi*(x[:,[0]]**2+x[:,[1]]**2))+torch.sin(torch.pi*(x[:,[2]]**2+x[:,[3]]**2)))/2)\n", - "dataset = create_dataset(f, n_var=4, train_num=1000, device=device)\n", - "\n", - "# train the model\n", - "#model.train(dataset, opt=\"LBFGS\", steps=20, lamb=1e-3, lamb_entropy=2.);\n", - "model.fit(dataset, opt=\"Adam\", lr=1e-3, steps=50, lamb=1e-3, lamb_entropy=5., update_grid=False);" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "2f182cc1-51bf-4151-a253-a52fe854919e", - "metadata": {}, - "outputs": [], - "source": [] - }, - { - "cell_type": "code", - "execution_count": 3, - "id": "f6f8125e-d26d-4c97-9e5f-988099bb4737", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "cuda\n" - ] - } - ], - "source": [ - "device = 'cuda'\n", - "print(device)" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "id": "95017dfa-3a2a-43e0-8b68-fb220ca5abc9", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "checkpoint directory created: ./model\n", - "saving model version 0.0\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "| train_loss: 6.83e-01 | test_loss: 7.21e-01 | reg: 1.04e+03 | : 100%|█| 50/50 [00:01<00:00, 26.90it\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "saving model version 0.1\n" - ] - } - ], - "source": [ - "model = KAN(width=[4,100,100,100,1], grid=3, k=3, seed=0).to(device)\n", - "f = lambda x: torch.exp((torch.sin(torch.pi*(x[:,[0]]**2+x[:,[1]]**2))+torch.sin(torch.pi*(x[:,[2]]**2+x[:,[3]]**2)))/2)\n", - "dataset = create_dataset(f, n_var=4, train_num=1000, device=device)\n", - "\n", - "# train the model\n", - "#model.train(dataset, opt=\"LBFGS\", steps=20, lamb=1e-3, lamb_entropy=2.);\n", - "model.fit(dataset, opt=\"Adam\", lr=1e-3, steps=50, lamb=1e-3, lamb_entropy=5., update_grid=False);" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "8230d562-2635-4adc-b566-06ac679b166a", - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.16" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/tutorials/.ipynb_checkpoints/API_1_indexing-checkpoint.ipynb b/tutorials/.ipynb_checkpoints/API_1_indexing-checkpoint.ipynb deleted file mode 100644 index 6111a2f8..00000000 --- a/tutorials/.ipynb_checkpoints/API_1_indexing-checkpoint.ipynb +++ /dev/null @@ -1,410 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "134e7f9d", - "metadata": {}, - "source": [ - "# Demo 1: Indexing" - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "id": "2075ef56", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "from kan import *\n", - "\n", - "model = KAN(width=[2,3,2,1])\n", - "x = torch.normal(0,1,size=(100,2))\n", - "model(x);\n", - "beta = 100\n", - "model.plot(beta=beta)\n", - "# [2,3,2,1] means 2 input nodes\n", - "# 3 neurons in the first hidden layer,\n", - "# 2 neurons in the second hidden layer,\n", - "# 1 output node" - ] - }, - { - "cell_type": "markdown", - "id": "c47ccd2b", - "metadata": {}, - "source": [ - "### Indexing of edges (activation functions)" - ] - }, - { - "cell_type": "markdown", - "id": "8c30add2", - "metadata": {}, - "source": [ - "Each activation function is indexed by $(l,i,j)$ where $l$ is the layer index, $i$ is the input neuron index, $j$ is the output neuron index. All of them starts from 0. For example, the one in the bottom left corner is (0, 0, 0). Let's try to make it symbolic and see it turns red." - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "id": "c95dbc78", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "r2 is 0.9989787936210632\n" - ] - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.fix_symbolic(0,0,0,'sin')\n", - "model.plot(beta=beta)\n", - "model.unfix_symbolic(0,0,0)" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "id": "bf721202", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "r2 is 0.9872174263000488\n" - ] - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.fix_symbolic(0,0,1,'sin')\n", - "model.plot(beta=beta)\n", - "model.unfix_symbolic(0,0,1)" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "id": "1e7cd4a8", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "r2 is 0.9238051772117615\n" - ] - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.fix_symbolic(0,1,0,'sin')\n", - "model.plot(beta=beta)\n", - "model.unfix_symbolic(0,1,0)" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "id": "18e0baa2", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "r2 is 0.9996684193611145\n" - ] - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.fix_symbolic(1,0,0,'sin')\n", - "model.plot(beta=beta)\n", - "model.unfix_symbolic(1,0,0)" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "id": "50eb8f8c", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "r2 is 0.8713403344154358\n", - "r2 is not very high, please double check if you are choosing the correct symbolic function.\n" - ] - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.fix_symbolic(2,1,0,'sin')\n", - "model.plot(beta=beta)\n", - "model.unfix_symbolic(2,1,0)" - ] - }, - { - "cell_type": "markdown", - "id": "960e5447", - "metadata": {}, - "source": [ - "### Indexing of nodes (neurons)" - ] - }, - { - "cell_type": "markdown", - "id": "f4a7880f", - "metadata": {}, - "source": [ - "Each neuron (node) is indexed by $(l,i)$ where $l$ is the layer index along depth, $i$ is the neuron index along width. In the function remove_node, we use use $(l,i)$ to indicate which node we want to remove." - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "id": "c9e70d77", - "metadata": { - "scrolled": true - }, - "outputs": [], - "source": [ - "model.remove_node(1,0)" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "id": "a22c9e31", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", 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\n", 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.plot(beta=beta)" - ] - }, - { - "cell_type": "markdown", - "id": "9ee64af1", - "metadata": {}, - "source": [ - "### Indexing of layers" - ] - }, - { - "cell_type": "code", - "execution_count": 13, - "id": "4c732dfc", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "2 3\n", - "2 3\n", - "3 5\n", - "3 5\n", - "5 1\n", - "5 1\n" - ] - } - ], - "source": [ - "# KAN spline layers are refererred to as act_fun\n", - "# KAN symbolic layers are referred to as symbolic_fun\n", - "\n", - "model = KAN(width=[2,3,5,1])\n", - "\n", - "i = 0\n", - "model.act_fun[i] # => KAN Layer (Spline)\n", - "model.symbolic_fun[i] # => KAN Layer (Symbolic)\n", - "\n", - "for i in range(3):\n", - " print(model.act_fun[i].in_dim, model.act_fun[i].out_dim)\n", - " print(model.symbolic_fun[i].in_dim, model.symbolic_fun[i].out_dim)" - ] - }, - { - "cell_type": "code", - "execution_count": 14, - "id": "1f0ccc8f", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "Parameter containing:\n", - "tensor([[0., 0., 0., 0., 0.]])" - ] - }, - "execution_count": 14, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "# check model parameters\n", - "model.act_fun[i].grid\n", - "model.act_fun[i].coef\n", - "model.symbolic_fun[i].funs_name\n", - "model.symbolic_fun[i].mask" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.7" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/tutorials/.ipynb_checkpoints/API_2_plotting-checkpoint.ipynb b/tutorials/.ipynb_checkpoints/API_2_plotting-checkpoint.ipynb deleted file mode 100644 index c84622ca..00000000 --- a/tutorials/.ipynb_checkpoints/API_2_plotting-checkpoint.ipynb +++ /dev/null @@ -1,505 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "134e7f9d", - "metadata": {}, - "source": [ - "# Demo 2: Plotting" - ] - }, - { - "cell_type": "markdown", - "id": "2571d531", - "metadata": {}, - "source": [ - "Initialize KAN and create dataset" - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "id": "2075ef56", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "(torch.Size([1000, 2]), torch.Size([1000, 1]))" - ] - }, - "execution_count": 1, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "from kan import *\n", - "# create a KAN: 2D inputs, 1D output, and 5 hidden neurons. cubic spline (k=3), 5 grid intervals (grid=5).\n", - "model = KAN(width=[2,5,1], grid=3, k=3, seed=1)\n", - "\n", - "# create dataset f(x,y) = exp(sin(pi*x)+y^2)\n", - "f = lambda x: torch.exp(torch.sin(torch.pi*x[:,[0]]) + x[:,[1]]**2)\n", - "dataset = create_dataset(f, n_var=2)\n", - "dataset['train_input'].shape, dataset['train_label'].shape" - ] - }, - { - "cell_type": "markdown", - "id": "8c6add1d", - "metadata": {}, - "source": [ - "Plot KAN at initialization" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "id": "ac76f858", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "# plot KAN at initialization\n", - "model(dataset['train_input']);\n", - "model.plot(beta=100)" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "id": "8071b133", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "# if you want to add variable names and title\n", - "model.plot(beta=100, in_vars=[r'$\\alpha$', 'x'], out_vars=['y'], title = 'My KAN')" - ] - }, - { - "cell_type": "markdown", - "id": "ddf67e30", - "metadata": {}, - "source": [ - "Train KAN with sparsity regularization" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "id": "97111d75", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 5.55e-02 | test loss: 5.69e-02 | reg: 5.02e+00 : 100%|██| 20/20 [00:12<00:00, 1.56it/s]\n" - ] - } - ], - "source": [ - "# train the model\n", - "model.fit(dataset, opt=\"LBFGS\", steps=20, lamb=0.01);" - ] - }, - { - "cell_type": "markdown", - "id": "2f30c3ab", - "metadata": {}, - "source": [ - "$\\beta$ controls the transparency of activations. Larger $\\beta$ => more activation functions show up. We usually want to set a proper beta such that only important connections are visually significant. transparency is set to be ${\\rm tanh}(\\beta \\phi)$ where $\\phi$ is the scale of the activation function (metric='act') or the feature attribution score (metric='fa'). By default $\\beta=3$ and metric='fa'." - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "id": "3f95fcdd", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", 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\n", 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\n", 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.plot(metric='act')" - ] - }, - { - "cell_type": "markdown", - "id": "9e788b91", - "metadata": {}, - "source": [ - "Remove insignificant neurons" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "id": "ed4800ea", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model = model.prune()\n", - "model.plot()" - ] - }, - { - "cell_type": "markdown", - "id": "61c8eeb1", - "metadata": {}, - "source": [ - "Resize the figure using the \"scale\" parameter. By default: 0.5" - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "id": "5cb8d57e", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", 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- "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.plot(scale=2.0)" - ] - }, - { - "cell_type": "markdown", - "id": "03d4bf1b", - "metadata": {}, - "source": [ - "If you want to see sample distribution in addition to the line, set \"sample=True\"" - ] - }, - { - "cell_type": "code", - "execution_count": 13, - "id": "c6d24148", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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ayDEYLkQOIIRAYGAgEhMTMXnyZNy4cQPZ2dlIS0vD3r17ceHCBZhMJmeXSeQwDBfyKJIkoby8HG3atHF2KTJeXl6IjY3FyJEjUVlZiR9++AE7d+7Enj17UFRUJBvR3GuLM5E7YbiQx2i42XHlypX33B7sakaNGoXw8HBZuGg0mkYPzCRyJ1zQJ4/hSXfCCyEghHB2GUSPjOFCRESK402URESkOK65EDXRnYN8TlkR3R9HLkRNlJ+fDy8vL+Tn5zu7FCKXx3AhIiLFMVyIiEhxDBciIlIcw4WIiBTHcCEiIsUxXIiISHEMFyIiUhzDhYiIFMdwISIixTFciIhIcQwXIiJSHMOFiIgUx3AhIiLFMVyIiEhxDBciIlIcw4WoCSRJQnl5OQCgvLwcfDo40f0xXIjuo6KiAsnJyQgLC8PEiRMhSRImTpyIsLAwJCcno6KiwtklErkkIfErGFGjtm/fjunTp6O6uhpA44859vPzw8aNG6HX651SI5GrYrgQNWL79u1ITEyEJEmwWq33fJ1KpYIQAmlpaQwYojswXIjuUlFRgW7duqGmpua+wdJApVJBo9GgpKQEWq3W8QUSuQGuuRDdZe3ataiurm5SsACA1WpFdXU11q1b5+DKiNwHRy5Ed5AkCWFhYSguLn6oHWFCCOh0OhQVFdnWY4haM4YL0R2uX7+OkJCQZr0/ODhYwYqI3BOnxYjuYDQam/V+g8GgUCVE7o3hQnQHf3//Zr0/ICBAoUqI3BvDhegOwcHB6N2790Ovmwgh0Lt3bwQFBTmoMiL3wnAhuoMQAvPmzXuk986fP5+L+US3cUGf6C68z4Wo+ThyIbqLVqvFxo0bIYSASnX/LtJwh/6mTZsYLER3YLgQNUKv1yMtLQ0ajQZCCLvproY2jUaDrVu3IiEhwUmVErkmhgvRPej1epSUlCApKQk6nU52TafTISkpCaWlpQwWokZwzYWoCSRJQnp6OiZMmIDdu3dj3LhxXLwnug+OXIiaQAhhW1PRarUMFqIHYLgQEZHiGC5ERKQ4hgsRESmO4UJERIpjuBARkeIYLkREpDiGCxERKY7hQkREimO4EBGR4hguRESkOIYLEREpjuFCRESKY7gQEZHiGC5ERKQ4hgsRESmO4UJERIpjuBA9QF1dHUpLS3Hy5EkAwNmzZ3Hz5k1YrVYnV0bkuviYY6J7qKiowMaNG/HVV1/hxIkTMBgMMJvN8PX1RUhICEaPHo2ZM2di1KhRUKvVzi6XyKUwXIgacejQISxYsADHjh1DVFQUEhMTERERAX9/f1RUVCAvLw+pqak4c+YMnn32Wbz77rsICQlxdtlELoPhQnSXHTt24IUXXoC/vz/+/ve/Y/LkyTCbzUhJSYHJZEK7du3w3HPPoa6uDikpKXjrrbcwcOBAfPHFF+jUqZOzyydyCQwXojucPn0aTzzxBNq2bYuUlBQMGDAAQggUFxcjMjISlZWV6NWrF/Ly8hAYGAhJknDgwAHMmDED8fHxWLVqFXx8fJz9xyByOi7oE91msViwZMkSlJeX4+OPP7YFy/0IIRAXF4elS5fiu+++w7Zt21qoWiLXxnAhuu3MmTNITU3FtGnTEBcX98BgaSCEwNSpUzFixAh89tlnqK+vd3ClRK6PW1yIbjt48CCMRiOmT5+O8+fPo6qqynatpKQEFosFAGA2m3HixAm0a9fOdr1Lly6YNm0a3nrrLVy+fBndunVr8fqJXAnDhei2wsJC+Pn5QafTYfbs2cjMzLRdkyQJJpMJAFBWVoZJkybZrgkhsHz5cgwePBjV1dUoKytjuFCrx3Ahuq2mpgZqtRo+Pj4wmUyora1t9HWSJNldq6+vh0ajkYUQUWvGcKFW79y5c9i7dy/279+P6upqVFRUICYmBm3btrW9pqamBgcPHrSFSGxsrO3GSSEEunfvjqtXr8JisaCkpAQmk4m7xqhV41ZkanUuXryIjIwMpKenY+/evbhw4QKEEOjVqxfOnTuHTz75BLNmzZK9p7i4GFFRUaisrETPnj1x+PBhaLVa23UhBBYtWoTk5GT06NEDGo0GQ4YMQXR0NKKjoxEREQFvb+8W/pMSOQ/DhTxeaWkp9u7da/uvuLgYADBkyBCMHTsW48aNw+jRo2G1WhEXF4fAwEBs27ZNtmB/r/tcgJ+nycrKyjB27Fj84he/wOzZs5GTk4Pc3Fzk5ubCYDDA19cXQ4cORVRUFGJiYjBo0CC0adPGKX8fRC2B4UIe5/Lly7IwKSoqAgAMGjTIFiZjxoxBcHCw3Xs/+eQTLFy4EH/5y1/w5z//2Tb1db9wqa2txR/+8AekpqZiz5496Nevn+3zLBYLTp06hdzcXGRnZyMvLw9GoxG+vr6IjIy0jWwGDhzI88nIozBcyO1dvXoVGRkZtjApLCwEAISHh8vCpGPHjg/8rKqqKrz00kvYunUr3n77bcyZMwe+vr44d+4coqOjbdNiOTk50Gq1MBgMeO+99/Dpp5/io48+wosvvnjfz7dYLDh58iSys7ORm5uLvLw8VFdXw8/PzxY2MTExCA8Ph5eXlyJ/P0TOwHAht3P9+nXs27fPFiYnTpwAAPTt29cWJmPHjkVoaOgjff61a9fw6quvYsuWLdDr9ViwYAHCw8Nx6tQpWK1WeHt7o0+fPsjJycGyZctQUFCAd955B3PmzHnoQKivr8eJEyeQk5ODnJwcHDlyBLW1tfD398ewYcNsI5t+/foxbMitMFzI5ZWXl2Pfvn1IT09HRkYGjh07BgDo3bu3LEy6du2q2M+sqqrCZ599hhUrVuDKlSvQ6XQICwtDQEAAysvLcerUKZSVlWHYsGFYvHgxxo4dC5Wq+Qde1NXV4YcffrCFTX5+PkwmEwICAjB8+HDbyCYsLEyRn0fkKAwXcjmVlZXYv3+/LUwKCgogSRJ69uyJ+Ph423+PPfaYw2u5fPkydu/ejYyMDBQXF6O2thaBgYEYNGgQEhISEBMTAz8/P4f9fLPZjGPHjtnWbI4ePQqz2Yz27dsjKirKNrLp06dPk4+rIWoJDBdyOoPBgAMHDtimuY4cOQKr1Ypu3bohPj4e48aNQ3x8PHr27OnUOi0WCyRJgkqlctqowWQy4ejRo7aRzdGjR1FfX4+goCDZyKZXr14MG3Iqhgu1OKPRiIMHD9pGJocPH4bFYkGXLl1kIxOdTsd/IB+gtrYW+fn5tpHN8ePHYbFYEBwcbBvVREdHo0ePHvy7pBbFcCGHq66uxqFDh2xhkpOTg/r6enTq1EkWJmFhYfwHsJmqq6tRUFCA7Oxs5OTk4MSJE7BYLOjYsaNtGi0mJgbdunXj3zU5FMOFFFdbW4usrCxbmGRlZaGurg4hISEYO3asLUz69+/Pf+AczGg0Ij8/Hzk5OcjOzsbJkydhtVoRGhoqG9kouRmCCGC4kAJMJhOys7NtayZZWVkwmUwICgqShcnAgQMZJk5mMBiQl5dnW7MpLCyEJEno2rWrbGTzqNu4iRowXOihmc1m5ObmYu/evUhPT8ehQ4dQW1sLrVaLMWPG2MJk8ODB3C7r4iorK21hk52djdOnTwMAunXrhpiYGNvIpik3oBLdieFCD1RXV4e8vDxbmBw8eBDV1dVo164dRo8ebbvPZMiQIbzRz82Vl5cjLy/PtmZz5swZAECPHj1k02gdOnRwcqXk6hguZKe+vh75+fm2MMnMzITRaIS/vz/i4uJsI5PHH3+c52F5uJs3byI3N9c2sjl37hwAoFevXraRTVRUFIKCgpxcKbkahgvBYrHg6NGjtjA5cOAAbt26BT8/P4waNco2Mhk2bBhP8m3lrl27ZgubnJwcXLhwAQDQp08f23rN8OHDZY8joNaJ4dIKWa1WHD9+3BYm+/fvR0VFBXx9fREbG2sLk6ioKD6DhO7rypUrspFNSUkJgJ/PeWsY2QwfPlz2+AJqHRgurYAkSThx4oQtTPbt24ebN2/Cx8cHI0aMsIVJTEwMn55IzXLp0iXbqCYnJwdlZWUQQqB///62kU1kZCQCAgKcXSo5GMPFA0mShMLCQlmYXLt2DW3atMGIESNsayYjRoyAr6+vs8slD1ZSUiIb2Vy5cgUqlQrh4eG2kU1kZKTskdLkGRguHkCSJBQVFdnCJCMjA1euXIFarUZ0dLQtTEaOHOnQQxaJ7keSJJSUlNh2ouXk5ODatWvw8vLCwIEDbSObxx9/HBqNxtnlUjMxXNyQJEkoLi6WhUlZWRm8vLwwfPhw22GPI0eOhL+/v7PLJWqUJEm4cOGCbBrtxo0b8PLywuDBg20jm6FDh3KE7YYYLm7i/PnzsjD56aefoFKpEBkZaQuT2NhYLpyS25IkCefOnbONbHJzc1FeXo42bdogIiLCdo/NkCFDuDboBhgubmLAgAE4ffo0hg4daguTUaNGccsneSyr1YqzZ8/aRjW5ubmorKzEsmXL8G//9m/OLo8egOHiJhr+b+LZXNRaSZIEs9kMtVrNkyDcAMOFiIgUx7M7FNKwY+vGjRvOLqVZVCoVBg0axK2h9NAaFugrKiqcXUqzqFQq9OnThzsrm4nhohBJkvDRRx/hsccea9IOrfr6euzZswfp6emwWCy2dn9/f/z6179G7969HVnuPe3fvx9vvvkmIiIinPLzyX1JkoS1a9ciNDRUsX+Ya2pqkJWVhYKCAlk/adC5c2eMHz8eoaGhik0ZHz58GL///e/Rr18/RT6vtWK4KMjHxwczZ85Ep06d7vkaSZJQW1uL9957DxkZGaitrZVdLy8vx65du/Cb3/wGw4cPb9E1FkmSYDQawZlSelTe3t6YPn16s09NtlqtOHr0KFasWIEjR46gvr6+0deVlJRgx44deOmllzB16lRoNJpm9RlJklBdXc0+oAA+bKOFmc1mvPnmm/jggw9QXV3d6GsKCwvx4osvori4mL/k1OrU1dVhw4YNmDt3ru2R2PciSRIuXbqE999/H3/9619x/fp19hkXwXBpQVarFatWrcInn3xy3w4DACdPnsTixYthNptbqDoi56urq8M///lPLF269KHWburr6/H999/j9ddfR2lpKQPGBTBcWogkSTh06BDefvttu8Dw9fXFY489Zveeb775Brt27WJHoVbBYrFgw4YNSE5OtpsuBgA/Pz+Eh4dj6NCh6NChQ6PTX0eOHMGf//xnXL16lf3GyRguLaSyshL/7//9P7vdZG3btsXy5cuxZ88ePP7447JrtbW1SEpKQk1NTUuWStTiJEnCgQMHsGLFCphMJtk1Ly8vjBs3Dv/7v/+LL7/8Ep9//jlSUlIwd+7cRm8izs/Px5IlS+457Uwtg+HSAiRJwurVq5GZmSlr9/LywhtvvIFZs2ahV69eePfdd+122Rw4cAAZGRn8FkYeS5Ik/PTTT/jHP/4Bg8Egu+bt7Y2ZM2di6dKlGDRoEHx9fdGmTRt07twZr7zyCj788EN0797d7jPT09OxevXqB04/k+MwXBxMkiScPXsWycnJsFqtsmuJiYl47bXXoFarIYTA+PHj7Y61MJvNWL16Nerq6lqybKIWYzabkZycjIsXL8ra1Wo1Zs2ahd///vfw8/OzmwZTqVSIjo7GsmXL0KNHD9k1i8WCdevWITMzk1/MnITh4mAWiwUrVqxAaWmprD00NBTvvfee7GbFNm3aYN68eXajlz179uD06dMtUi9RS5IkCTt27MDu3btl7UIIPPXUU5g5c+Z9H60thMCAAQPwzjvvIDg4WHatpqYGSUlJbn9js7tiuDiQJEk4cuQIvvzyS1m7EAKvvvoq+vfvL/s2JoRAVFQURo4cKXt9ZWUlNm7cyG9g5HGuXbuGTz/91G5kHh4ejvnz5zfp9GMhBCIjIzFv3jy7ICoqKsK6desavQGTHIvh4kD19fVYuXIlKisrZe0RERF4+eWXoVLZ//X7+PjgV7/6ld21b7/91m4+msidWa1W/Otf/8L58+dl7f7+/vjjH/+I4ODgJt8QqVKp8NRTTyExMVHWLkkSNmzYgB9//JFfzloYw8VBJElCdnY2Nm/eLGtXq9V4/fXX73kHsxACer0e3bp1k7WfOnUKhw8fZgchjyBJEs6fP9/oiPzpp59+pNMp2rRpg7lz56JXr16y9lu3bmHVqlVct2xhDBcHMZvNWLZsGYxGo6w9KioKU6ZMuW/HCQ0NRUJCgqzNZDLhm2++YbiQR5AkCf/85z/t1kMee+wx/O53v3ukI/WFEAgNDcWsWbOgVstPtsrMzEReXh77TwtiuDiAJEnIyMjArl27ZO0+Pj7405/+hICAgPu+XwiBZ555Bt7e3rL2Xbt2uf2Js0QNo5YdO3bI2lUqFX7zm98gNDT0kT9bCIGEhAS7e8Zqamrw+eef88SLFsRwcQCTyYSVK1fa3fw4duxYTJo06YHDfSEEhg0bBp1OJ2svLi5GTk4Ov32RW5MkCevXr7cbtfTt2xdPPvlksw9r1Wg0ePHFF+02A+Tm5uLIkSPsPy2E4eIAjW2t9PHxwWuvvQZfX98mfYZWq8XEiRNlbfX19UhLS2PnILd26dIlbN++XdamUqnwzDPPoH379s3+fCEERowYgREjRsjaTSYTUlJSeGNlC2G4KMxoNOKjjz6yO8IiPj4eY8eOfahvZVOmTLHbWpmeno5bt24pUitRS5MkCdu2bcO1a9dk7T169IBer1fsERPe3t747W9/azd6ycrKwunTp/kFrQUwXBT2zTff4ODBg7I2Pz8/vP76600etQA/f/saOnSo3Z3HZ8+eRUFBgRKlErU4g8GALVu2yP5xF0JgypQpjZ4T9qiEEBgyZIjdQ++MRiNSU1MZLi2A4aKgW7duISkpyW7YrdfrMWbMmIf+VhYYGIhx48bJ2sxmM3bv3s3OQW5HkiTk5OSguLhY1t6hQwdMnjxZ8Qfj+fr64plnnrHbeZaeno6bN28q+rPIHsNFQVVVVbh06ZKsrX379li4cOF9j7C4FyEEfvGLX9htq9y2bRuqqqqaVStRS7NYLNi6davdl6/4+Hh07txZ8Z8nhEBcXBx69uwpay8rK8O+ffv4Bc3BGC4O9utf/xpRUVGP9K1MCIHhw4eja9eusvbTp0/j3LlzitRntVpRUFCA//mf/8Hu3bu5VZMc5uLFi8jKypK1aTQaTJ06tdHTKpTQrl07TJ48WdZmtVqRmprK33UHY7goSKPRyIJg4MCBWLhw4SPdENagQ4cOdmeNGY1GbN++vdnfvCRJQlpaGhISEjBnzhxMmTIFX331VbM+k6gxkiRhz549dkchDRo0COHh4YpPiTVouO/l7l1oP/zwA86ePeuQn0k/Y7goSKvV4uuvv8YHH3yADz74AN9++y169OjRrI6jUqmQkJBg9xk7duxo9nEWdXV1+Pjjj233G5hMJrtpPSIl1NbW2t1ULITAE088YXezsNIee+wxREVFydqqq6v5lFcHY7goTKfTYcGCBViwYAF0Ol2zv5EJIRAbG4vAwEBZe35+Pi5cuNCszy4rK+POM2oRp06dQlFRkawtKCgIo0ePdtiopYFarYZer7ebesvIyODTKh2I4eIAQghFO0yPHj3sjrMoLy9HVlbWI3/zkiQJeXl53DVDDidJEvbv34/a2lpZ+8iRI5t11EtTNTzKolOnTrL2c+fO8bRkB2K4uIE2bdpAr9fL2iRJwpYtW+yebtlUkiRh+/btdu/XaDSPXCdRY6qqqpCeni5rU6vVSExMdNhC/t2Cg4MbvWP/7pM0SDkMFzcghEB8fLzsqZXAz2clPepT9oxGI7Kzs2VtPj4+iI6OfuQ6iRpTWFhot7uxc+fOGDx4sMOnxBoIITBp0iS7bf1ZWVnc1u8gDBc3ER4ejkGDBsnaSktLH/kY8ZMnT9rtlunevTvCw8ObVSfRnSRJwoEDB+y2/Y4YMUKRc8SaSgiBwYMH291Pc/HiRbu1IFIGw8VNaDQajB49WtZWX1+Pbdu2PfRnSZKEnTt32p3aPHr0aLuNA0TNUVNTgwMHDsja1Gr1Q5+zpwStVtvo1NihQ4e47uIADBc3otfr7bZtZmRkPPTjj00mk9220HtteSZqjsZu+O3YsSMiIiJa/HdNCIGxY8fa3XeWmZlpd9AsNR/DxU00HMTXvXt3WfvZs2dRWFj4UJ91/vx5HD9+XNYWEhKCmJiYZtdJ1KBhSuzuXWKRkZGKHlLZVEIIDBgwAMHBwbL2s2fPorS0tMXr8XQMFzcSGBiICRMmyNoe9mawhl1idz/RMi4uDl26dFGqVCKYzWa74168vLwwfvz4Ftsldrfg4GC7k5INBgOys7M5NaYwhosbEULgySeftNvx8u233zZ5asxkMmHz5s12n5uYmNisY2qI7lZaWoozZ87I2gIDA50yJdbAy8sLcXFxdj8/Kyvrkbf1U+MYLm5ECIGYmBj06dNH1n7ixAm7aa57KSwsRF5enqwtKCgIo0aNUqxOIkmScPToURiNRln7wIED0aFDBydV9XMfioyMtNvW/+OPP9qde0bNw3BxM4GBgYiLi5O11dbWYvPmzQ8c1kuShNTUVLtRTmxsrN1DyYiaw2q1IjMz0+53ctSoUXYj75bWpUsX9OrVS9Z2/fp1bklWGMPFzTQc9nf3FNb333//wG9et27dwqZNm2RtKpUK06dPd3qHJ89y69Yt/PDDD7I2jUaDyMhIp+9I9PX1tdu8UldXh5ycHCdV5JkYLm5GCIFRo0bZ7RorKipCfn7+PUcvkiTh4MGDOHnypKy9S5cuGD9+vNM7PHmWoqIiXL58Wdam0+lcZoQcHR1t94UqNzeXz3hREMPFDXXo0AEJCQmyNrPZjJSUlHsuSlosFnzxxRd2x/QnJCS0yOGB1LoUFBTY/a5FRES4xNl1Qgj07dsXQUFBsvYzZ87gypUrTqrK8zBc3JAQAr/85S/h6+sra09NTcX58+ftXi9JEn788Ufs2LFD1u7r64tf/epXTtsWSp6prq6u0S3IsbGxTqrInlarRVhYmKzNYDA89D1jdG/8V8UNNTz++O6zxq5cuYL169fbTY1ZrVb893//N8rLy2Xt0dHRGDlyJKfESFHXrl3D6dOnZW2BgYEYMGCAy/yuqdVqu8dYWK1W5ObmOqkiz8NwcVNt27bFjBkz7Drrl19+iWvXrtn+tyRJOHbsGDZs2CB7nZeXF373u9/ZjX6ImuvUqVO4deuWrK1v3752d8Y7U8OW5DZt2sjajx8/zqNgFMJwcVNCCEybNg1du3aVtZ8+fRrr1q2zrb3U1tZiyZIldg8FGzRoEKZMmeIy3yTJc+Tm5sJiscjaIiMjXW5HYv/+/Rs9JfnOL2f06Bgubqxr166YMWOGrM1qtSIpKQnHjx+H1WrFmjVrkJqaKnuNl5cX5s2bxxOQSXEmkwn5+fmyNrVa7RJbkO/Wtm1b9OzZU9ZmMBhw6tQp5xTkYRgubkylUuHll1+2G71cunQJr7zyCpYsWYK//vWvdrt2YmNjMX36dJfr7OT+jEaj3Rbk4OBg9O7d20kV3ZuXlxeGDRsma7NarY1uiqGHx3Bxcz179sTcuXPtdnwdPnwYixcvtlvEDwwMxN/+9jcEBAS0ZJnUSlitVrvt8H379nXKKcgP0vAAsbun6+6e0qNHw3Bxcw2jl7sfJNYYtVqNP/3pT4iNjeWohVrMsGHDXPZQ1J49e7pk8HkChosH0Gq1+Pjjj9G/f/97vkatVmPWrFmYO3euy3Z0cn8qlUq2A6tdu3Yuvd09MDDQbt2FlOFa2zfcnCRJKC8vt9ve2BI6deqETz/9FAsXLsThw4dl1/z8/DBnzhzMnz8ftbW1dg9vutP9rhE9iFarxauvvoqdO3cCAJ599ll07drVZU8cliQJY8aMQX5+vm06zBn91xMxXBQihECPHj2wcuVKp44MBg8ebPfQL29vb1RXV2Pp0qUPfH9NTQ3at2/vqPLIgwkh0K1bN/z0008YOHAgAODkyZMuf9d7fX094uPjbWtFvr6+XJNUgJD4+DVFSJLkMU+yE0K47DQGuS72AboTw4WIiBTHBX0iIlIcw8VNNEw5cKBJrZnVakVtbS2fd+8GGC5uIj8/H2q12u5oDaLWpLCwEMOGDXP5TQLEcCEiIgdguBARkeIYLkREpDiGCxERKY7hQkREimO4EBGR4hguRESkOIYLEREpjuFCRESKY7gQEZHiGC5ERKQ4hgsRESmO4UJERIpjuBARkeIYLkREpDiGixuQJAnl5eUAgPLycj4wjFqlhn5QV1fHfuAGGC4urKKiAsnJyQgLC8PEiRNhtVoxceJEhIWFITk5GRUVFc4ukcjh7uwHcXFxKCoqQlxcHPuBixMS498lbd++HdOnT0d1dTUAyL6lCSEAAH5+fti4cSP0er1TaiRyNPYD98VwcUHbt29HYmIiJEm677PCVSoVhBBIS0tjxyKPw37g3hguLqaiogLdunVDTU3NfTtUA5VKBY1Gg5KSEmi1WscXSNQC2A/cH9dcXMzatWtRXV3dpA4FAFarFdXV1Vi3bp2DKyNqOewH7o8jFxciSRLCwsJQXFz8UDthhBDQ6XQoKiqyzUMTuSv2A8/AcHEh169fR0hISLPeHxwcrGBFRC2P/cAzcFrMhRiNxma932AwKFQJkfOwH3gGhosL8ff3b9b7AwICFKqEyHnYDzwDw8WFBAcHo3fv3g89XyyEQO/evREUFOSgyohaDvuBZ2C4uBAhBObNm/dI750/fz4XMckjsB94Bi7ouxju7ydiP/AEHLm4GK1Wi40bN0IIAZXq/v/3NNyZvGnTJnYo8ijsB+6P4eKC9Ho90tLSoNFoIISwG+Y3tGk0GmzduhUJCQlOqpTIcdgP3BvDxUXp9XqUlJQgKSkJOp1Odk2n0yEpKQmlpaXsUOTR2A/cF9dc3IAkSbh58yYMBgMCAgIQFBTERUtqddgP3AvDhYiIFMdpMSIiUhzDhYiIFMdwISIixTFciIhIcQwXIiJSHMOFiIgUx3AhIiLFMVyIiEhxDBciIlIcw4WIiBTHcCEiIsUxXIiISHEMFyIiUhzDhYiIFPf/ASjrU29olPvOAAAAAElFTkSuQmCC\n", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.plot(sample=True)" - ] - }, - { - "cell_type": "markdown", - "id": "a3fa482a", - "metadata": {}, - "source": [ - "The samples are more visible if we use a smaller number of samples" - ] - }, - { - "cell_type": "code", - "execution_count": 14, - "id": "3856bcb6", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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5cgW3bt2q52qJ1MdwIapDQgg0atQI48aNAwCMGjUK//M//4N9+/bh0qVLvIUyuS2GC7kVKSWKi4uddnK8WbNmWLRoEWbNmoUff/wRu3btwpEjR3DlyhVldZmnp6eDqyR6egwXchtCCLRp0wbLly+HVqt1dDmPpFGjRnjuuedQWFioTOR7e3ujUaNGDq6M6OkIyaUp5CaklG6z0qp2YQCRq2K4EBGR6rgUmYiIVMc5F6JHdGcnn0NWRA/GngvRI0pJSYFWq0VKSoqjSyFyegwXIiJSHcOFiIhUx3AhIiLVMVyIiEh1DBciIlIdw4WIiFTHcCEiItUxXIiISHUMFyIiUh3DhYiIVMdwISIi1TFciIhIdQwXIiJSHcOFiIhUx3AhIiLVMVyIHoGUEsXFxQCA4uJi8O7gRA/GcCF6AKPRiGXLliEiIgJDhgyBlBJDhgxBREQEli1bBqPR6OgSiZySkPwIRnRfe/bswdixY2EymQDc/zbHPj4+2LJlCxISEhxSI5GzYrgQ3ceePXswcuRISClhs9l+9XkajQZCCOzYsYMBQ3QHhgvRXYxGI1q2bInKysoHBkstjUYDb29v5ObmwmAw1H2BRC6Acy5Ed1m7di1MJtMjBQsA2Gw2mEwmrFu3ro4rI3Id7LkQ3UFKiYiICGRnZz/WijAhBMLCwpCZmanMxxA1ZAwXojsUFBQgODj4qV4fFBSkYkVEronDYkR3KC8vf6rXl5WVqVQJkWtjuBDdwc/P76le7+/vr1IlRK6N4UJ0h6CgIISHhz/2vIkQAuHh4WjcuHEdVUbkWhguRHcQQmDmzJlP9NpZs2ZxMp/oNk7oE92F+1yInh57LkR3MRgM2LJlC4QQ0Gge3ERqd+hv3bqVwUJ0B4YL0X0kJCRgx44d8Pb2hhDinuGu2mve3t7YuXMnhg0b5qBKiZwTw4XoVyQkJCA3NxdLly5FWFiY3WNhYWFYunQprl27xmAhug/OuRA9AiklEhMTMXjwYOzfvx/x8fGcvCd6APZciB6BEEKZUzEYDAwWoodguBARkeoYLkREpDqGCxERqY7hQkREqmO4EBGR6hguRESkOoYLERGpjuFCRESqY7gQEZHqGC5ERKQ6hgsREamO4UJERKpjuBARkeoYLkREpDqGCxERqY7hQkREqmO4ED2E2WzGtWvXcP78eQDApUuXUFRUBJvN5uDKiJwXb3NM9CuMRiO2bNmCr7/+Gunp6SgrK0NNTQ28vLwQHByMZ599FlOmTEH//v2h0+kcXS6RU2G4EN3HsWPHMGfOHJw5cwa9evXCyJEjER0dDT8/PxiNRpw6dQrbt29HVlYWxo0bh/fffx/BwcGOLpvIaTBciO6yd+9eTJ48GX5+fvjoo48wYsQI1NTUYMOGDaiurkZAQADGjx8Ps9mMDRs2YNGiRYiMjMT69esREhLi6PKJnALDhegOFy9exPDhw+Hr64sNGzagc+fOEEIgOzsb3bt3R0lJCdq2bYtTp04hMDAQUkocPnwYEyZMQFxcHNasWQO9Xu/oH4PI4TihT3Sb1WrFhx9+iOLiYqxYsUIJlgcRQmDAgAH4+OOPsW3bNuzevbueqiVybgwXotuysrKwfft2jBkzBgMGDHhosNQSQmD06NHo06cPVq9eDYvFUseVEjk/LnEhuu3o0aMoLy/H2LFjkZOTg4qKCuWx3NxcWK1WAEBNTQ3S09MREBCgPN68eXOMGTMGixYtQn5+Plq2bFnv9RM5E4YL0W0ZGRnw8fFBWFgYpk2bhiNHjiiPSSlRXV0NAMjLy8PQoUOVx4QQ+Nvf/oaoqCiYTCbk5eUxXKjBY7gQ3VZZWQmdTge9Xo/q6mpUVVXd93lSynses1gs8Pb2tgshooaM4UIN3uXLl5GYmIikpCSYTCYYjUbExsbC19dXeU5lZSWOHj2qhEi/fv2UjZNCCLRu3Ro3b96EzWZDfn4+ampq4Onp6agficjhuBSZGpwrV67g4MGDOHjwIBITE/Hzzz9DCIG2bdsiJycHK1euxNSpU+1ek52djV69eqGkpAShoaH48ccfYTAYlMeFEHj77bexYsUKxMTEwMfHB5GRkYiJiUG3bt3QqVMneHh41PNPSuQ4DBdye9euXUNiYiIOHTqExMREZGdnAwC6du2KuLg4xMXFYeDAgbDZbBgwYAACAwOxe/duuwn7X9vnAvwyTJaXl4dBgwZh1KhRmDFjBlJTU5Gamoq0tDSUl5dDr9fbhU3Hjh15ZAy5NYYLuZ38/Hy7MMnMzAQAdOnSRQmTQYMGISgo6J7Xrly5Em+88Qbmz5+PefPmKQHwoHCpqqrC7NmzsX37dhw4cAAdOnRQ3s9ms+HSpUtITU1FSkoK0tLSYDKZoNfrERUVpYRN+/btGTbkVhgu5PJu3ryJgwcPKmGSkZEBAOjUqZNdmDRp0uSh71VRUYHf/e532LlzJ/785z9j+vTp8PLywuXLl9G7d29lWCw5ORkGgwFlZWX44IMPsGrVKixZsgSvvvrqA9/farUiMzNT6dmcOXMGlZWV8Pb2RlRUFLp164aYmBhERERAq9Wq8vdD5AgMF3I5BQUFOHTokBIm6enpAID27dsrYRIXF4emTZs+0fvfunULM2bMwL///W8kJCRgzpw56NSpEy5cuACbzQZPT0+0a9cOycnJ+OSTT5Camop3330X06dPf+xAsFgsuHjxIlJSUpCamoqzZ8+iuroaPj4+iI6ORrdu3dCtWzeEh4dDo+GeZ3IdDBdyesXFxTh06JAyCX/mzBkAQHh4uF2YtGjRQrXvWVFRgdWrV+PTTz/FjRs3EBYWhoiICPj7+6O4uBgXLlxAXl4eevTogYULF2LQoEGq/PK3WCzIyMhQhtHOnTuHmpoa+Pn52YVNWFjYI58gQOQIDBdyOiUlJfjhhx+UMElNTYWUEqGhoYiPj8egQYMQHx+PVq1a1Xkt+fn52L9/Pw4dOoTs7GxUVVUhMDAQXbp0wbBhwxAbGwsfH586+/5msxnnz59XwiY9PR1msxn+/v6IiYlR5mxCQ0MZNuRUGC7kcGVlZUhKSlKGuU6fPg2bzYaWLVsiPj4ecXFxiI+PR2hoqEPrtFqtkFJCo9E4bIiq9uiZ2jmbn376CRaLBQaDAV27dlXmbFq3bs2wIYdiuFC9Ky8vx5EjR5SeyY8//gir1YrmzZvb9Uw49PNw1dXVOHfunNKzycjIgNVqRWBgoNKr6datG1q0aMG/S6pXDBeqcyaTCUePHlXCJDk5GRaLBSEhIXZhEhERwV+AT6myshLp6elISUlBSkqKsgghKCjILmyaNWvGv2uqUwwXUl1VVRWOHTumhMnx48dhNpsRHBysLAuOj49Hx44d+QuujplMJpw9e1bp2Vy8eBFSSjRp0sRuzuZJV9YR/RqGCz216upqnDhxQtm4eOzYMVRXV6Nx48Z2YRIZGckwcbDy8nKcOXNGmbPJysqClBJNmzZVgiYmJuaR9gQRPQjDhR5bTU0NTp48icTERBw8eBBHjx5FVVUVDAYDBg0apIRJVFQU92Y4ubKyMpw5c0YZRqs9GqdZs2bKEFq3bt3ue5oB0YMwXOihzGYzTp06pYTJkSNHYDKZEBAQgIEDByr7TLp27cpd5S6upKTELmxycnIAAC1btrTr2TRu3NixhZLTY7jQPSwWC1JSUpQwOXz4MMrLy+Hn54dnn31W6Zl069aN52G5OaPRqAyhpaSk4MqVKwCA1q1bK0ETExNjd0I0EcBwIfyyfyMtLU0Jk6SkJJSWlsLHxwcDBgxQeiY9evTgsfENXGFhIdLS0pTjanJzcwEAoaGhyhBa165d7U6UpoaJ4dIA2Ww2nD17VgmTH374AUajEV5eXujfv78SJr169eINr+iBCgoKlF5NSkoKrl+/DgAICwtTwiY6Ohr+/v4OrpTqG8OlAZBSIj09XQmTQ4cOoaioCHq9Hn379lXCJDY2Fnq93tHlkgu7efOmXdjcuHEDQgi0a9dOmbOJjo62u8snuSeGixuSUiIjI8MuTG7dugUPDw/06dNH2bjYt29feHl5ObpccmPXr1+3m7O5desWhBBo3769MmcTFRVVp+ezkWMwXNyAlBKZmZlKmBw8eBA3btyATqdD7969lTDp168fGzE5jJQS169fV3o1qampKCwshEajQYcOHZRhtC5duvBDjxtguLggKSWys7PtwiQvLw9arRY9e/ZUDnvs168f/Pz8HF0u0X1JKXHt2jW7sCkuLoZWq0XHjh2VsImMjORwrQtiuLiInJwcuzC5evUqNBoNunfvroRJ//79uUqHXJaUEleuXFGG0FJTU1FSUgKdTofOnTsry54jIyO50MQFMFxcRKdOnXDx4kXExMQoYTJgwADuLyC3JaVETk6OEjSpqakoKyvDO++8g/j4eEeXRw/BcHERtf9MPJuLGiopJaqqquDp6cmTIFwAw4WIiFTHsztUUrtiq7Cw0NGlPBWNRoMuXbpwHwI9NiklcnNzUVpa6uhSnooQAm3btoW3t7ejS3FpDBeVSCmxZMkStGrV6rFWaEkpsWvXLhw8eFC51qFDB4wfP94hv+CTkpKwYMECREdH1/v3JtcmpcSmTZvQpEmTp/rFnJ2djf3798NqtUIIgb59+yIqKgpmsxkHDhxATk4OfH190b9/f4SGhqp+8nZaWhomTZqE8PBwVd+3oWG4qEiv12PKlCkICQl55Ndcu3YNS5cuhdlsVq6dP38e5eXlePPNN+v1yHopJcrLy8GRUnpSHh4eGDFixBOfmlxdXY233noL1dXVyrWffvoJHh4eqKysRE5ODiwWC0pKSnD48GEEBwdj3LhxqvUypJSorKxkG1ABw8WBbDYbTp48qZzHVMtqteJ///d/odPp8Ic//AFNmjThRD41CBUVFcrJy7UKCgqwf//+e55bWlqK9evXw2Aw4MUXX2QbcTK8k1M9klKipqYGRqMRpaWlWLlyJV5//XW7XkutoqIivP/++5g1axZqamocUC1R/TKbzdizZ889czadO3fGyy+/jK5du97zGpvNhnPnzkFKyd6Gk2HPpZ5IKfHTTz9h3rx5OH/+PPz8/HD+/HlYrVbExsaiffv2OHHiBC5dugSr1aq87tChQ7h58yZatWrlwOqJ6lZ1dTW+/vprbNiwAVarFe3bt4dOp0OHDh0wbtw4NGnSBDdv3sSnn36KU6dO2Q2bXbhwAZs3b1bOzmvatCl7MU6A4VJPjEYjpk+fjiNHjijX9Ho9Zs2ahXnz5iEwMBBGoxFz5szBV199pTznmWee4REu5LZq966sWbMG27ZtAwC88MILeO2116DX66HVaiGEgBACTZo0wcKFC3H69Gls3LgRhYWFKCsrQ25uLj7//HMAwLZt2/Dhhx+iefPmjvyxCAyXeiGlxL59+3D8+HG76+3bt8fChQuV8AgMDMQ777yD69ev4/jx46ioqIBOp4PNZoOUkp/GyK3ULiD57LPPsHfvXmi1WowdOxaTJk2CXq+/5/+7EAKenp6IjY1F9+7dYbFYsH//fixevFh5zs8//4wTJ05g9OjRbC8OxnCpY1JKJCUl4a233rIb7gKAgQMH2p1SLIRAWFgYvv32WyQnJ2PcuHFIT0/HmDFj8B//8R/43e9+x1ONyaVJKWE2m5Gamorr168jOTkZx44dg4eHB1555RW89NJLDz03rDZkPD090axZM+h0OlgsFuVx3nrbOfBfoY5ZLBb893//Ny5fvqxcE0KgX79+ePPNN+/76czHxwe9evVCaGgoCgoKcPjwYRw/fhwWiwX/+Z//yU9k5LJsNhu++OILbN26VVnI4u3tjddeew2jRo167GCIjIxEXFwcDh06BIvFAikl0tLS0Lp1a7Rt2xb+/v5sLw7C1WJ1zGq1ori42O5a69atsX79ejRv3vxX/+MXFBTYBZLFYsHevXvv6f0QuZLCwkLs2bPHboVkly5dnihYAMDLywtvvPEGFi9ejMmTJ0On02H//v2YO3cu3nzzTeTl5XEVmYMwXOqIlBKlpaX45z//CZPJpFzX6XSYMGECWrVq9cBPVI0aNUKLFi3srrVv354H9pHLstlsKC4uthvCAn75v/6km4WFEPDy8kKXLl0QFxen3PfFYrEgIyMD//d//8el/A7CcKkjFosFc+fOxZQpU3Du3DkAQN++ffH3v/8db7/99kO76o0aNcJf//pXdOvWDTqdDhqNBgMGDKiP0olUZ7PZsGvXLsyfPx8VFRUAfgmGkJAQ1TZAWiyWe3r2R44cQVZW1lO/Nz0+hksduX79OrZt2wabzaZca9q0KV566SX4+Pg8tDEJITB48GDs378fCQkJsNls+Pbbb+3ej8hVFBYW4ssvv0RBQYEyTNWrVy8sWbIEkZGRqoRLixYt0KNHD7trZrMZSUlJqKysfOr3p8fDcKkjer3+nvuABwQEPFYjEkIgICAAr7zyCrRaLfbt24esrCyOIZPLKS8vtxseBgCDwaDqhkdPT09MnTrVbji59jDNb7/9lu2mnjFc6kDt4Xe1dDodoqKinmillxAC8fHxaNu2LW7duoXx48dj9erVHEcml9K0aVO0bNlS+drLy0v1YV4hBNq0aYM//elPdieK22w2HDx4kIey1jOGi8pqg2Xx4sXIzc1V9q18//33iI6OfqJPaSUlJSgvLwcAnDlzBnPmzMH333/PhkIuo6ioCAUFBcrc4YIFC9CvXz/VlwkLIdC6det7duhnZWVh06ZNqn4vejCGi4psNhvWr1+P+Ph4rFmzBlqtFm+++SaGDx+O4ODgJ25IFy5cwM2bN5Wvq6qqcOLECbXKJqpTUkrs2bMHxcXFaNWqFebOnYu+ffvW2cpHHx8fTJ061W5Y2mazISUl5Z6ValR3uIlSRbdu3cKqVauU/8BeXl7o0KHDU386Cw8PxzPPPKMEjIeHB2JiYp62XKJ6UVBQgO+//x5CCIwYMeKx5x4flxAC0dHRaNeunbJSEwCaN29er/dHauj4N60im81m98moqqoKFy5ceOr3jYiIwPLly9G1a1cIIRAcHIzevXs/9fsS1TUpJRITE3Hjxg2EhIQgPj6+XnbM6/V6TJ8+HV26dIGHhwcA4Ny5c9i4cSOqqqrq/PsTw0VVGo3GbpdxQEAAoqKiVHnfsWPH4ptvvkFgYCDy8/MxefJkJCYmct6FnFppaSl27twJKSWGDh2KZ555pl6+rxACnTp1wvz58xEYGAgAyMvLwxdffIF9+/ax3dQDhouKgoOD8eGHH6JPnz7o06cPli9fjp49e6r2/hcuXEB5eTlsNhsSExMxderUe+7aR+QspJQ4fPgwrl69isDAQCQkJNTrOV9CCBiNRhiNRuWa1WrF3r17udqyHjBcVKTRaDBx4kQcOHAABw4cwMSJE1WdtDxx4oRdo7hy5QoOHDjAT2HkdKxWK65evapsJI6Li0OzZs3qvY7g4GCl51KroKCA4VIPGC4qE0JAr9ff934UTysyMtJuQrL2BFgiZ2K1WrFx40bMnDkTmZmZ8PDwQFxcnENOJzYYDBg6dKhdu4mKiuKtK+oBw8VFCCEwaNAgtGnT5p7rd54wS+Roly9fxjfffIPS0lIAvxzBcueqrfqk0Wjw8ssv4/XXX0dISAgA4OzZs/jqq694JEwdY7i4kBYtWuCzzz5DUFCQcm3VqlVYt24dh8bIadTeRfVORUVFDqrml30vzz//PPz9/QH8cu7funXrsGPHDrabOsRwcSFCCERGRtqtSKuursbmzZt5nxdyChaLxe4+RMAv+7IcvXS+qKgIeXl5ytc2mw1nz55luNQhhouL8fHxuWeCMiQkhJvDyCmUlpbeMw84YMAAZY+WoxgMBmVYDPjlg1pERATvUlmH+BvJxRgMBixatAitW7eGEAJarRZjxoxhIyGncXdvoFu3bvD09HRQNb/w9/fHnDlzlOP9/fz8HLbIoKFguLgYIQR++9vf4tChQ+jduzesViuSkpLYvSenoNVq7c70MhgM6Ny5s8N/iQsh0KVLF8yfPx+NGzdGRUUFLl++zHZThxguLkgIgVatWmHixIkQQuC7775DQUGBo8siQkBAAN544w3ExcUhLi4O8+fPR9u2bR1dFgAoRyd17twZNpsNJ06cYLjUIYaLixJCYOTIkQgJCUFOTg43U5JTEEKge/fuWLBgARYsWIDu3bs71XygRqNBbGwshBBIS0tTbmVB6nOef3V6bK1atcLQoUNhtVrxj3/8g/tdyGloNBpoNBqHD4fdTQiBrl27wt/fHzdu3OCdXesQw8WF1W4Q8/T0RFJSEi5evOjokoicXpMmTRAeHg6z2YyTJ086uhy3xXBxYUII9O3bF5GRkSgpKcGWLVv4KYzoITw8PBAbGwsAOHXqFI/gryMMFxfn7++P3/72twCArVu3oqSk5LFeL6WE1WpFaWkph9WoQaidF/Ly8sLVq1d5sngdYbi4OCEERo8ejcaNG+PChQs4fPjwI/depJS4efMmpk2bhl69euHFF1/EmTNn6rhiIsdr2bIl2rRpg6qqKpw6dYo9/jrAcHED4eHhiIuLg9lsxjfffPPIR8FIKfHXv/4VX375JbKysrB3717s2LGjjqslcjwvLy/06NEDAJCcnMxeex1guLgBnU6Hl19+GTqdDgcOHEBOTs4jfRKzWq1ITU21u8ZPcNQQCCHQq1cveHh44NKlS8jPz3d0SW6H4eIGao/jDw8Px61btzBnzhzs37//oT0YrVaL0NDQe64RNQTh4eFo1qwZKioqkJqayg9WKmO4uAkppbKnYOfOnRg3bhx++OGHX20wUkpkZ2cjMTERANCuXTtMnDhRWRxA5O58fX0RExMDKSVOnDgBm83m6JLcCsPFTaSnp+PSpUvK10ajEZs2bfrV59fU1OD9999HTk4OOnTogN27d+PLL79EeHh4fZRL5HBCCPTu3RsajQYZGRkoLCx0dEluheHiJoKCguDt7W137e6va0kp8d1332HTpk3Q6/VYuHAhQkNDneqYDqK6JoRAp06d8Mwzz8BoNCI9Pd3RJbkV/jZxEx07dsQf//hH+Pn5KcNjWVlZuHnzJsxmM6SUkFLi1q1b2L17NxYtWoSqqiqMGTMGo0ePdrpjOojqQ6NGjRAZGcmDLOsAw8VN6HQ6vPPOOzh48CCWLFkCX19f7Ny5E7GxsZgwYQIyMzNx4sQJDBs2DKNHj0ZGRgZCQkIwf/58h99rg8hR7j7I8tq1awwYlege/hRyFR4eHujWrRs6duyIDRs24Pjx47h69SquXr2KlJQUFBcXw2g0Ks+XUsLHx4e9FmrQQkJCoNPpkJ+fj7lz5yIkJAR9+/Z1dFkuj+HihmpqalBUVGR37e77mtc+r7q6ur7KInI6Ukrs2rVL2UR58+bNxz5Cie6Pw2JuyNfXVzmY79doNBr85je/QevWreupKiLnI6W854MYqYM9FxVJKVFcXAwPDw9Hl4K5c+fCbDbj9OnTiIqKQmpqqrJU2c/PD/PmzcPLL7+MiooKVFRUKK/jCbH0NKSUKC8vh07nGr9apJTo3r07Tp8+rexzcZXanZ2QnL1ShZQSS5YswaVLl5xml7vNZoPFYoFOp4PRaFRCxMPDA02aNLnv0uPKykr86U9/umfnPtHDSCmxadMmXLt2zWnawKOwWCwoLi5WwsXLywuvvfYamjZt6uDKXBvDRSW1S33dgRCCk/z02NgG6E4MFyIiUh0n9ImISHUMFxdRO+TAjiY1ZDabDSaTiYdMugCGi4tISUmBVqtFSkqKo0shcphLly5h5MiRdoe0knNiuBARkeoYLkREpDqGCxERqY7hQkREqmO4EBGR6hguRESkOoYLERGpjuFCRESqY7gQEZHqGC5ERKQ6hgsREamO4UJERKpjuBARkeoYLkREpDqGCxERqY7h4gKklCguLgYAFBcX84Zh1CBJKVFUVISqqioUFRWxHTg5hosTMxqNWLZsGSIiIjBkyBBIKTFkyBBERERg2bJlMBqNji6RqM7d2Q769OmD48ePo0+fPmwHTk5Ixr9T2rNnD8aOHQuTyQQAdp/ShBAAAB8fH2zZsgUJCQkOqZGorrEduC6GixPas2cPRo4cCSnlA+8VrtFoIITAjh072LDI7bAduDaGi5MxGo1o2bIlKisrH9igamk0Gnh7eyM3NxcGg6HuCySqB2wHro9zLk5m7dq1MJlMj9SgAMBms8FkMmHdunV1XBlR/WE7cH3suTgRKSUiIiKQnZ39WCthhBAICwtDZmamMg5N5KrYDtwDw8WJFBQUIDg4+KleHxQUpGJFRPWP7cA9cFjMiZSXlz/V68vKylSqhMhx2A7cA8PFifj5+T3V6/39/VWqhMhx2A7cA8PFiQQFBSE8PPyxx4uFEAgPD0fjxo3rqDKi+sN24B4YLk5ECIGZM2c+0WtnzZrFSUxyC2wH7oET+k6G6/uJ2A7cAXsuTsZgMGDLli0QQkCjefA/T+3O5K1bt7JBkVthO3B9DBcnlJCQgB07dsDb2xtCiHu6+bXXvL29sXPnTgwbNsxBlRLVHbYD18ZwcVIJCQnIzc3F0qVLERYWZvdYWFgYli5dimvXrrFBkVtjO3BdnHNxAbX3sSgrK4O/vz8aN27MSUtqcNgOXAvDhYiIVMdhMSIiUh3DhYiIVMdwISIi1TFciIhIdQwXIiJSHcOFiIhUx3AhIiLVMVyIiEh1DBciIlIdw4WIiFTHcCEiItUxXIiISHUMFyIiUh3DhYiIVPf/hGgb1R510JEAAAAASUVORK5CYII=\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.get_act(dataset['train_input'][:20])\n", - "model.plot(sample=True)" - ] - }, - { - "cell_type": "markdown", - "id": "4fa7ca2c", - "metadata": {}, - "source": [ - "If a function is set to be symbolic, it becomes red" - ] - }, - { - "cell_type": "code", - "execution_count": 15, - "id": "3d502880", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "r2 is 0.9991374611854553\n" - ] - }, - { - "data": { - "text/plain": [ - "tensor(0.9991)" - ] - }, - "execution_count": 15, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "model.fix_symbolic(0,1,0,'x^2')" - ] - }, - { - "cell_type": "code", - "execution_count": 16, - "id": "f8f93b9c", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.plot()" - ] - }, - { - "cell_type": "markdown", - "id": "e75a0760", - "metadata": {}, - "source": [ - "If a function is set to be both symbolic and numeric (its output is the addition of symbolic and spline), then it shows up in purple" - ] - }, - { - "cell_type": "code", - "execution_count": 17, - "id": "17df5fed", - "metadata": {}, - "outputs": [], - "source": [ - "model.set_mode(0,1,0,mode='ns')" - ] - }, - { - "cell_type": "code", - "execution_count": 18, - "id": "b5b13363", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.plot()" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "fb710b46", - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.7" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/tutorials/.ipynb_checkpoints/API_3_extract_activations-checkpoint.ipynb b/tutorials/.ipynb_checkpoints/API_3_extract_activations-checkpoint.ipynb deleted file mode 100644 index 3fc033b2..00000000 --- a/tutorials/.ipynb_checkpoints/API_3_extract_activations-checkpoint.ipynb +++ /dev/null @@ -1,131 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "134e7f9d", - "metadata": {}, - "source": [ - "# Demo 3: Extracting activation functions\n", - "\n", - "The KAN diagrams give intuitive illustration, but sometimes we may also want to extract the values of activation functions for more quantitative tasks. Using the indexing convention introduced in the indexing notebook, each edge is indexed as $(l,i,j)$, where $l$ is the layer index, $i$ is the input neuron index, and $j$ is output neuron index." - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "id": "2075ef56", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "from kan import *\n", - "import matplotlib.pyplot as plt\n", - "# create a KAN: 2D inputs, 1D output, and 5 hidden neurons. cubic spline (k=3), 5 grid intervals (grid=5).\n", - "model = KAN(width=[2,5,1], grid=5, k=3, seed=0)\n", - "x = torch.normal(0,1,size=(100,2))\n", - "model(x)\n", - "model.plot(beta=100)" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "id": "d3fe2e03", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "l = 0\n", - "i = 0\n", - "j = 3\n", - "x, y = model.get_fun(l,i,j)" - ] - }, - { - "cell_type": "markdown", - "id": "a9e62f17", - "metadata": {}, - "source": [ - "If we are interested in the range of some activation function, we can use get_range." - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "id": "1a978202", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "x range: [-2.32 , 2.70 ]\n", - "y range: [-0.11 , 0.24 ]\n" - ] - }, - { - "data": { - "text/plain": [ - "(tensor(-2.3217), tensor(2.6963), tensor(-0.1126), tensor(0.2444))" - ] - }, - "execution_count": 3, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "model.get_range(l,i,j)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "cc395fd0", - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.7" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/tutorials/.ipynb_checkpoints/API_4_initialization-checkpoint.ipynb b/tutorials/.ipynb_checkpoints/API_4_initialization-checkpoint.ipynb deleted file mode 100644 index 2dc1d378..00000000 --- a/tutorials/.ipynb_checkpoints/API_4_initialization-checkpoint.ipynb +++ /dev/null @@ -1,235 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "134e7f9d", - "metadata": {}, - "source": [ - "# Demo 5: Initialization" - ] - }, - { - "cell_type": "markdown", - "id": "6581dacd", - "metadata": {}, - "source": [ - "Initialization is the first step to gaurantee good training. Each activation function is initialized to be $\\phi(x)={\\rm scale\\_base}*b(x) + {\\rm scale\\_sp}*{\\rm spline}(x)$.\n", - "1. $b(x)$ is the base function, default: 'silu', can be set with ${\\rm base\\_fun}$\n", - "\n", - "2. scale_sp sample from N(0, noise_scale^2)\n", - "\n", - "3. scale_base sampled from N(scale_base_mu, scale_base_sigma^2)\n", - "\n", - "4. sparse initialization: if sparse_init = True, most scale_base and scale_sp will be set to zero\n" - ] - }, - { - "cell_type": "markdown", - "id": "6459e11a", - "metadata": {}, - "source": [ - "Default setup" - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "id": "c3faa4ed", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "from kan import KAN, create_dataset\n", - "import torch\n", - "\n", - "model = KAN(width=[2,5,1], grid=5, k=3, seed=0)\n", - "x = torch.normal(0,1,size=(100,2))\n", - "model(x) # forward is needed to collect activations for plotting\n", - "model.plot()" - ] - }, - { - "cell_type": "markdown", - "id": "c3e6d104", - "metadata": {}, - "source": [ - "Case 1: Initialize all activation functions to be exactly linear. We need to set noise_scale_base = 0., base_fun = identity, noise_scale = 0." - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "id": "90d2d5de", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model = KAN(width=[2,5,1], grid=5, k=3, seed=0, base_fun = 'identity')\n", - "x = torch.normal(0,1,size=(100,2))\n", - "model(x) # forward is needed to collect activations for plotting\n", - "model.plot()" - ] - }, - { - "cell_type": "markdown", - "id": "1d834a51", - "metadata": {}, - "source": [ - "Case 2: Noisy spline initialization (not recommended, just for illustration). Set noise_scale to be a large number." - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "id": "a23d4e55", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model = KAN(width=[2,5,1], grid=5, k=3, seed=0, noise_scale=1.)\n", - "x = torch.normal(0,1,size=(100,2))\n", - "model(x) # forward is needed to collect activations for plotting\n", - "model.plot()" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "id": "37884df0", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model = KAN(width=[2,5,1], grid=5, k=3, seed=0, noise_scale=10.)\n", - "x = torch.normal(0,1,size=(100,2))\n", - "model(x) # forward is needed to collect activations for plotting\n", - "model.plot()" - ] - }, - { - "cell_type": "markdown", - "id": "4641f36a", - "metadata": {}, - "source": [ - "Case 3: scale_base_mu and scale_base_sigma" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "id": "8d5348a7", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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Tk5PQaDSor6+XrVRE5CwXEYvFIklGEASpkpGDZETkNGiE8B8klxAjlIeJMsbQ09ODhoYGTE1NIT8/H3fffTcKCgpkF+uNCAW5iFgsFjQ3N+P06dPgeR67du3C/v37ZblyshyGuxO+h+Qic242wU2tVl83m1quFx5jDN3d3WhoaMD09DQKCgokqYQSoSQXEavViubmZjQ3N8PlcmHXrl04cOCALCUjcu1EXVE2107UzczMlO05T5BcZMfNluZISkq6bra03GGMoaurCw0NDZiZmUFhYSHq6+tDTioioSgXEavVitOnT6O5uRlOpxM1NTU4cOBASCzL73Q6pcVPA7nEELE2SC5BZjWLCoaKTEQYY7hy5QoaGxsxMzODoqIi1NfXIz8/P9ihrYlQlouIzWbD6dOn0dTUBKfTiZ07d+LAgQMhtRx/oBdHJbyD5BJgbrUculjuh+py6IwxXL58GY2NjZidnUVxcTHq6+uh0WiCHZpPWA9yEVkpGYfDgZ07d+LgwYMhJRkRl8uFyclJDA0NYWRkRNojaOW2DuIeQSSbwEFy8TN3wkZOgiBIUpmbm8PGjRtRX1+PvLy8YIfmU9aTXERsNhtaWlrQ1NQEu92O6upqHDx4MCQfbkRutiFdRETEdbLxZkM6YnWQXHzMnbQFrSiVhoYGzM/PY9OmTairq1t3UhFZj3IRsdvtOHPmDE6ePLluJCPir620iVtDclkjer3eTSaLi4sAgLS0NDeZyHl0jqcIgoBLly6hoaEBCwsL2LRpE+rr65Gbmxvs0PzKepaLiMPhQEtLC06dOgWbzYaqqiocPHgwpPr8bgfP85iampKu2ZGREUk2eXl50jWbk5NDslkDJBcP0el0GBkZkToTl5aWAADp6eluMpHTpDVfIQgCLl68iMbGRiwsLKCkpAT19fXIyckJdmgB4U6Qi4jD4ZAqGavVKkkmKSkp2KH5HEEQrpON3W5HWFgYNBqNNPw5OzsbKpUq2OGGDCSX26DT6SSRDA8PQ6vVAgAyMjIkkeTn569LmYgIgoALFy6gsbERi4uLKC0tRX19PbKzs4MdWkC5k+Qi4nA4cPbsWZw8eRIWiwWVlZU4dOjQupSMiCAImJ6edpONzWaDSqVCXl6eNPAmJyeHZHMLSC7XsLy8LI06GRoawvLyMgAgMzPTTSbBXBgwUAiCgPPnz6OxsRFLS0soKytDfX39HXNjvZY7US4iTqcTZ8+exYkTJ2CxWFBRUYFDhw4hOTk52KH5HUEQMDMzI82zGR0dhdVqhUqlQm5uriSb3Nxcks0K7mi5MMawvLzs1meyvLwMjuOuk0kg98sINjzP4/z58zh27BiWlpZQXl6O+vp6ZGVlBTu0oHIny0XE6XTi3LlzOHHiBMxmM3bs2IG6uro7QjIigiBgdnZWks3IyIibbMT7Rm5uLsLCwoIdbtC4o+TCGINWq3WTiU6nk2Sycp6JP/Yqlzs8z6OzsxPHjh2DVqvF5s2bUVdXd8dLRYTk8l+slIzJZJIqmZSUlGCHFnAYY5idnZVEMzw8DIvFAqVS6SabvLy8O0o261oujDEsLS25yUSv14PjOGRlZUnzTDQazR0pExGe59HR0YHjx49Dq9Viy5YtqKurQ2ZmZrBDkxUkl+txuVySZIxGI7Zv3466ujqkpqYGO7SgwRjD3Nyc1Fc7MjICs9kMpVKJnJwcN9mEh4cHO1y/sa7kwhjD4uKim0wMBgM4jsOGDRvcZBIZGRnscIMOz/Nob2/H8ePHsby8jK1bt6Kurg4ZGRnBDk2WkFxujsvlQltbG44fPw6DwYBt27ahvr7+jpaMiCiblaNMzWYzFAqFm2w0Gs26kk1Iy0WUycrRXEajEQqFQpKJeNBIJv+FKJVjx45Br9dLlQpJ5daQXG7PjSRTV1eHtLS0YIcmGxhjmJ+fd3sINplMUCgUyM7OdrtvRUREBDtcrwlpufA8j+9973twuVzr6qD4m8bGRnz88cdSpZKenh7skEICksvqcblcUlVss9nwne98Z109lfuSmz0k33fffThw4ECww/MaWcqloaFh1U/RRqMR0dHRHs2kdTgc0rLj6wVPcuZ0OuF0Oj0aAbcecwZ4ljeTyYT29nZUVVWtel6Tw+GAy+XCzp071xKmrPAkZ4wxmEwmj1aooHPt6hYJSqXSIyHL7VyT5aDsubk5HDx40C/v3dPTg+bmZiQmJq6rk5dy5h3z8/OrzpsgCCgpKUFMTMyqVtft6enB6dOnkZiYKJsL3hfQueYdnpxrniLHc022608rlUqf/0xPT+Mvf/kL6urqgv31/ALlzDtWm4uwsDCo1WqEhYWtKm8vv/wyDh06FOyv5xfoXPMOf+RtZmZGlueabOXia7RaLV588UU8+OCDKCsrC3Y4IQHlzDu0Wi1+85vf4IEHHqC8rZKlpSX8+te/pnPNQ8Rr9P7775dd3u4IuVgsFvziF7/Arl27sHv3btp3exVQzrzDYrHghRdeoLx5gNlsxgsvvIA9e/ZQzjzAYrHgl7/8JWpqarBnzx7Z5W3dy8XpdOKFF15AYWEh7rvvPtkdADnidDrxy1/+knLmIWLeCgoKcO+991LeVoHD4cALL7yAoqIiypkHOJ1O/OpXv4JGo5HtNbqu5SIIAn73u98hJiYGjz32mCwPgNwQcxYdHU058wA61zyH53n8v//3/xAfH49/+Id/oJytEkEQ8NJLLyEqKgqPP/64bPO2buXCGMNrr70Go9GIp556ijb9WQWMMbz++uswGAz4x3/8R8rZKhHPNZPJRHlbJYwxvPrqq7BYLPjSl75EOVsljDG8+eab0Ol0sj/X1qVcGGM4evQoBgYG8PTTT99Ri8V5C2MMH330Efr7+3HkyBGa8LZKxHNtcHAQX/nKV+hcWwWMMbz//vsYGRmh69MDGGNoaGhAb28vnn76adlfo+tOLowxnDt3DqdPn8ZXv/rVO2LflbUi5qy5uRlHjhyhnK0SMW8tLS2Ut1XCGENLSwvOnTuHI0eO3FFbWawFxhja29tx6tQpPP300yGxOeG6k0tvby/efvttfPnLX76j9phYC319fVLO7sQl072lr68P77zzDp1rq4Qxhq6uLrz//vv4p3/6p3W9m6WvGRwcxN/+9jc89dRTIbMY6LqSy9TUFP70pz/hs5/9LHJzc4MdTkgwNTWFP/7xj3jiiScoZx4gnmtPPPEEcnJygh1OSDA+Po6//OUvePLJJ++4LbLXwuzsLF566SU89thjyMvLC3Y4q2bdyEWn0+FXv/oV7r33XpSXl8t2BIWc0Ol0+PWvf43Dhw9j8+bNlLNVIuaNzrXVI04s/cQnPoGSkpJghxMyGAwG/OpXv0J9fT22bt0aUufaupCLzWbDL37xC1RXV6O2tjakDkCwsNvteOGFF1BZWYl9+/ZRzlaJzWbDCy+8gKqqKuzdu5fytgrECbl79uzBrl27KGerRJwDtHXrVuzfvz/k8hbycuF5Hr/+9a+RnZ2NBx54IOQOQDAQc5aZmYkHH3yQcrZKxLxt2LCBzrVV4nK5aGKpF/A8j9/+9rdITU3Fww8/HJJ5C2m5MMbwl7/8BYwxfPazn13VSrV3OowxvPzyy+B5Hk8++STlbJWI5xoAOtdWiSAI+MMf/oCIiAhZT/aTG+J8M6vViv/23/5byJ5roRk1/mt+wdjYGP7pn/4JKpUsdw+QFeJclpGREXzlK1+hnK0SMW/j4+N0rq0SxhjeffddzM3N4ctf/rKsJ/vJCcYYTpw4gf7+/pC/RkNWLhcvXkRTUxOOHDmCqKioYIcTEly+fBmnTp2inHnIpUuX0NTUhKeffpq2y14FjDG0tbWhra0NR44coV1hPaC3txcNDQ14+umnQ37eVEjKZWZmBq+++iq+9KUv0fyCVTI7O4uXX34ZX/jCF2guiwfMzs7i1VdfxRe+8AU611bJ5OQk/vrXv+Kpp56CWq0Odjghw+LiIv70pz/hc5/7HNLS0oIdzpoJOblYrVb86le/wn333YfCwsJghxMSiDk7fPgwiouLgx1OyGCz2aS8FRUVBTuckMBkMuHFF1/Eww8/HFJzMoKNw+HAr371Kxw4cAClpaXBDscnhJRcxNE6xcXFNHx2lQiCgBdffBEFBQUhOZwxWIjnWlFREe666y7K2yoQR4Zt2bIFNTU1lLNVIggCfvvb3yIrKwv19fXrJm8hIxdxFVWe5/GZz3xm3RwAfyIIAt544w04HA589rOfpZytEkEQ8Prrr9O55gErl4F/9NFHKWerhDGGv/3tbzAajfj85z+/rvIWEnIRBAHvvfeetIoqjTy5PTzP4+9//zsGBgZw5MgRytkqcblceOuttzA6OoqvfOUrlLfbwBiDy+XCm2++Ca1Wiy9/+cshO3Q20PA8j4aGBly5cgVHjhwJ6ZFhN0K232Z8fBwcx8FisaCzsxPDw8O0iuptGB8fh0KhAM/zOHHiBBYWFmhl6FXQ09OD2NhYmEwmNDc3w2Kx4Ktf/Sqda7egt7cXsbGxmJiYwOXLl6HX62lk2CoYHR2FSqWCTqdDe3s75ufn8fTTTyMuLi7Yofkc2crltddeAwCoVCpkZ2fja1/7GhISEsAYC3Jk8kXMGWMMhYWF+PSnP43o6GjK2W1oaGiAw+GAUqmERqPBvffei4iICMrbLTh69CgcDgfi4+NRUFCAPXv20Lm2Ct566y0IgoCoqCikpaVJD3/rMW+ylEtMTAzuuusuMMYQFhaG8PBwTE5OYnJy0mefkZWV5bP3kgMxMTHYt2+f23+PjIz49DPWW86Aq3kqLS2Fw+GASqVCREQEBgcHffoZ6y1vK3MWFRUFpVJJ59oqEK9RQRAQEREBlUqF0dFRn36GnPLGMRkqk+d5v38Gx3Hrqm2YcuYdlDfPoZx5x52WN1nKxRN4nofFYkF0dDR1vq4Sypl3UN48h3LmHeshb/JQ3BqYnZ3FD3/4Q8zOzgY7lJCBcuYdlDfPoZx5x3rIW8jLhSAIgpAfJBeCIAjC55BcCIIgCJ9DciEIgiB8DsmFIAiC8DkkF4IgCMLnkFwIgiAIn0NyIQiCIHwOyYUgCILwOSQXgiAIwueQXAiCIAifQ3IhCIIgfA7JhSAIgvA5JBeCIAjC55BcCIIgCJ9DciEIgiB8DsmFIAiC8DkkF4IgCMLnkFwIgiAIn0NyIQiCIHwOyYUgCILwOSQXgiAIwueQXAiCIAifQ3IhCIIgfA7JhSAIgvA5JBeCIAjC55BcCIIgCJ9DciEIgiB8DsmFIAiC8DkhLRfGGLRaLfR6PbRaLRhjwQ5J9lDOvIPy5jmUM+9YN3ljIcjy8jJ79tlnWWFhIQMg/RQWFrJnn32WLS8vBztE2UE58w7Km+dQzrxjveUt5OTy4YcfspiYGMZxHOM4zu0giP8vJiaGffjhh8EOVTZQzryD8uY5lDPvWI95Cym5fPjhh0ypVDKFQuGW/Gt/FAoFUyqVIXUg/AXlzDsob55DOfOO9Zo3jrHQaNDT6XTIzs6G1WqFIAi3/XuFQoGoqChMTk5CrVb7P0AZQjnzDsqb51DOvGM95y1kOvRfeuklWCyWVR0AABAEARaLBX/4wx/8HJl8oZx5B+XNcyhn3rGe8xYSlQtjDMXFxRgeHvZo5ATHcSgoKMDAwAA4jvNjhPKDcuYdlDfPoZx5x3rPW0jIZXFxEampqWt6fXJysg8jkj+UM++gvHkO5cw71nveQqJZzGQyren1RqPRR5GEDpQz76C8eQ7lzDvWe95CQi6xsbFren1cXJyPIgkdKGfeQXnzHMqZd6z3vIWEXJKTk1FYWOhx+yLHcSgsLERSUpKfIpMvlDPvoLx5DuXMO9Z73kJCLhzH4etf/7pXr33mmWdk3enlLyhn3kF58xzKmXes97yFRIc+sL7Hg/sLypl3UN48h3LmHes5byFRuQCAWq3Gm2++CY7joFDcOmyFQgGO4/DWW2/J/gD4E8qZd1DePIdy5h3rOm+BXhJgrax2DZ6jR48GO1TZQDnzDsqb51DOvGM95i3k5MLY1dVDn3vuuRuuHvrcc88xnU4X7BBlB+XMOyhvnkM58471lreQlIuIIAissbGRAWCNjY1MEIRghyR7KGfeQXnzHMqZd6yXvIVMn8uN4DhOantUq9WyHz0hByhn3kF58xzKmXesl7yFtFwIgiAIeUJyIQiCIHwOyYUgCILwOSQXgiAIwueQXAiCIAifQ3IhCIIgfA7JhSAIgvA5JBeCIAjC55BcCIIgCJ9DciEIgiB8DsmFIAiC8DkkF4IgCMLnkFwIgiAIn0NyIQiCIHwOyYUgCILwOSQXgiAIwueErFxMJhP6+/tx+fJlAMDs7CwcDkeQo5I/JpMJY2NjAICenh5MTExQ3m6D0+nE1NQUenp6AABDQ0PQarUQBCHIkckbOtc8Zz3d1zjGGAt2EJ4wPDyM3/zmN3j77bcxMTEBp9MJu92O+Ph47NixA1/4whfwyCOPIC4uLtihyoqVeRsbG4PVakV4eDhiYmKwZcsWytsN0Ol0ePPNN/HnP/8ZXV1dMBqNcDgciIyMRGpqKvbt24ennnoKe/fuhUqlCna4soHONc9Zj/e1kJELz/N4+eWX8e1vfxtWqxX33Xcf7r77buTm5kIQBAwODuKDDz7A8ePHUVFRgZ///OcoKysLdthBh/LmHWfOnME3vvENXLp0CdXV1XjggQewdetWxMbGQqfToaOjA++88w4GBwfx+OOP44c//CFSU1ODHXZQoXPNc9Z1zlgIwPM8+4//+A8WExPD7rvvPnbx4kXmcrlYS0sLe+6559hzzz3Henp6mMPhYCdPnmRVVVVs06ZN7PLly8EOPahQ3rzj6NGjLDMzkxUXF7M33niDWSwWptPp2C9/+Uv23HPPsd/97nfMarUyg8HAfv3rX7OsrCx29913s9nZ2WCHHjToXPOc9Z6zkJDL8ePHmVqtZp/+9KeZVqtlgiAwxhj7X//rfzEADAD74x//yBhjTBAENjY2xvbs2cNqa2vZ8vJyECMPLpQ3z+nr62P5+fls8+bN7MqVK1LOhoaGWEJCAgPA8vPzmVarZYxdzdupU6dYdnY2e/LJJ5nNZgtm+EGDzjXPWe85k32HvtVqxfe//32kp6fjZz/7GdRqNTiOu+nfcxyHnJwc/PznP0d/fz/+9Kc/BTBa+UB58xye5/GjH/0Iy8vL+Pd//3eUlZXdMmfA1bzV1tbiJz/5Cf7+97/jww8/DFC08oHONc+5E3Ime7l0dHTg7Nmz+OpXv4oNGzbc9mIHrh6I7du347HHHsPvf/97WCyWAEQqLyhvnjM4OIh33nkHjzzyCGpra1eVM+Bq3j75yU9i165dePHFF+Fyufwcqbygc81z7oScyX6Iy4kTJxAREYH6+nr09PS4Xbhzc3PSv4+Pj+PSpUvSf6vVanzyk5/En/70J4yOjoZOJ5iPoLx5TktLC0wmEx599FGMjo7CbDZLv5ucnATP8wAAh8OBrq4uxMfHS7/PysrCI488gu9973uYnZ1FdnZ2wOMPFnSuec4dkbNgt8vdjieffJJt3LiR9ff3s9zcXBYZGSn9qFQqqW0yLCzM7Xdf+tKX2MjICEtJSWEffPBBsL9GwKG8ec6//Mu/MLVazXp6elhdXZ1bXiIiIqSccRzn9ruoqCj2i1/8gjU1NbG4uDh27ty5YH+VgELnmufcCTmTdeXCGIPNZkNERASUSiVsNhtsNtsN/9bpdMLpdEr/7XA4EB4eLr3uToLy5h1WqxUqlQoRERGw2+03/f5iflficrkQFRUFxhjsdnsgwpUFdK55zp2SM1nLheM4pKSkoLW1FTzP4+DBg9DpdNLvBwYGMDw8DADYsmULsrKypN9t3boVOp0OVqsVY2NjuHTpEpKSkpCUlITo6OhAf5WA4ou82Ww2xMTEBDr0oJKWlgar1QqdToeamhq372+1WtHS0iJJZM+ePdLESY7jkJubi/n5eSgUCiQmJgbrKwQUQRAwOzsLnueh1+u9PtfsdjuSkpICHX5AcblcWFhYwOzsLGZnZ7G4uAidTreucyZruQBAZWUlXnrpJczOzuLPf/6z2+/+9//+3/jRj34EAPjv//2/43Of+5z0O47j8Mc//hEREREoKirCzMwMBgcHAQCRkZGSaJKSkpCYmAilUhm4LxUA1po3hUKBsbExHDt2DOnp6UhPT0dSUhIUCtmPAfEKi8WC+Ph42O12tLa24sc//rHb74eHh1FdXQ29Xo/09HS8+uqrUKvV0u85jsO3v/1tpKamYsOGDQGOPnCYTCaMj49jbGxMWs4lLi5OunF6c65FRkaisLAwoN/D3xgMBkkkokwEQYBKpUJ6ejpqampw7ty5dZ0z2cvl0KFDiIuLw0svvYTdu3e7LbOx8kanUCjcBGGxWPCHP/wB+/fvx7333gulUgm73Q6tViv99PT0gOd5cByHhIQEJCcnS8IJ9af2Q4cOITo62uu8HTx4EHfffTcWFxcxNjaG/v5+qFQqpKWlSbKJiooK6HfyNYwxTExMoKurCyMjI7Db7cjMzMRLL72EJ554wq3DfmWOOI5zyxtjDNPT03jjjTdQVlaG1tZW5OfnIzc3F5GRkQH/Xr6E53nMzMxIQllaWgLHccjIyMCOHTuQl5eH++67Dx9++KHX51ptbS0yMjIC+r18idPpdKtKZmdnpZFcCQkJyMjIQGlpKTIyMpCcnAyFQoFt27bhd7/73brOmezlotFo8LnPfQ6/+c1v8KlPfQr333//bYftCYKA3//+9zh//jz+9re/SQcnIiICmZmZyMzMBHD1pmAwGKDVarG0tIS5uTkMDQ1Jf3ttdRMq60eZzWZcuXIFW7duxWuvveZ13vLy8pCXlwfGGPR6Pebm5jA3N4cLFy6AMYb4+HhJNOJFEwqYzWZ0d3eju7sbRqMRycnJqK2txaZNmxAdHY1vfvObeP755/Gtb31rVcfcbrfjBz/4AaxWK77zne8gLCwMfX196OnpQUZGBjQaDdLS0lY9tDnYGI1GjI2NYWxsDJOTk3A6nYiOjkZubi6qqqqQk5PjJs2UlBSvr9G2tjb89re/DamWA71ef11VwhhDWFgY0tPTUVZWhoyMDGRkZNz04cKX9zW5Ivu7pUKhwL/8y7+gubkZR44cwe9+9zscPHgQCoUCCoUCKpUKHMeB4zgwxsDzPF555RV897vfxZEjR7B3796bvrdYsSQkJCA/Px/A1Q6zldVNX18fXC4XOI5DfHy8W3UTGxsbqDSsmp6eHjQ3N0OlUuH//J//g3/+539ec944joNarYZarcamTZvgdDoxPz+Pubk5TExMYGBgAEqlEqmpqcjIyEB6errs+rUYYxgbG0NXVxdGR0ehVCqxceNG6UYg8sUvfhGnTp3Cj3/8Y0RHR+PIkSPSDUKlUkGlUrlVLEajEf/6r/+KV155BT/72c9QU1MD4Gpb+cTEBEZHR3HmzBlERUVBo9EgLy9PdtUMz/OYnp6WhLK8vAyO45CZmYnKykrk5eUhJSXlpje/tVyjn/70p8FxHM6cOYPt27fLrhp2Op2Ym5tzk4nYkZ6YmIiMjAyUl5cjMzMTSUlJq36A8Od9TS6EzMKV3d3d+PznP4/R0VEcOXIEX/rSlyAIAqanpwEA+fn50Ov1+MUvfoGXX34ZTz75JH7yk5+s+SYn3kDE6kar1cJoNAIAwsPDr6tuwsLC1vxdvcFkMuH48eMYHx9HSUkJamtrEREREZC8raxqlpaWwBhDbGysJJrk5OSgPWWZTCapSjGZTEhJScHmzZuxceNGhIeH3/A1CwsL+NrXvoZ3330Xhw8fxje+8Q2Ulpair68PgiAgPDwcRUVFaG1txU9/+lNcuHAB3//+93HkyJEbfs/l5WWMjo5icnISgiAgPT0dGo0G6enpQatmDAaDW3XicrkQExODvLw85ObmIicnBxERER69p7fnmsFgwPnz58HzPLZs2YK8vDx/fOVVsby8jNnZWczNzWFmZgZarRaMMYSHhyM9PV2qSNLT033ykLDanP3Hf/wHXnnlFZ/d1wJByMgFAKampvDFL35RehIsKytDTk4OeJ7H6Ogo+vr6kJycjP/xP/4HPv/5z3t8cawWp9PpVt1otVppuGB8fDySkpKkCic2NtbvN5Du7m6cPn0aYWFhOHjw4HUX59TUFH7wgx/g1VdfhUql8mvexPZnUTZWq1WqasQmNH/3ZwmCIFUpY2NjUKlU2LhxI8rLy5GWlraq9zCbzXjxxRfx/PPPY25uDgUFBSguLkZcXByWl5fR19eH6elpVFZW4rvf/S72799/22ZBl8slVTN6vR5RUVFS06O/n9hdLpdbdaLT6aBQKJCZmSnFkJycvObP8fZcczqduHTpEsbHx5Geno4dO3b4PScOh+O6qkQcRp6UlCSJJCMjA4mJiX67jleTs8jISHzzm9/EP//zP/vtvuZrQkouIyMjePfdd1FWVob29na0trZifn4eYWFhyM/Px8GDB3HPPfes+gbiKxhjMJlMUmWj1WphMBgAAGFhYW7VTVJSks+qG6PRiOPHj2NiYgKlpaXYu3fvTU88nufR09OD9957L6B5MxgMblWNIAiIiYmRnv5SUlJ8VtUYDAb09PSgu7sbZrMZaWlpKC8vR3Fx8U2rlNsxOzuLxsZGnDx5EsPDw7DZbEhMTMTmzZtxzz33oKamxqunSJ1OJ1UzLpfLrZrxVd+VTqeTZDI1NQWe5xEbGyvJJDs72+u83Iq1nGtzc3M4f/48nE4ntmzZAo1G45OYGGNSVSL+aLVaAFf7V1eKJD093S95uRW3y1l8fDzi4+Nx4MCBgMa1FkJKLq+++ioiIiLwyU9+EgCktkiO42TXueV0OrG8vOxW3Yg7yonVjfgTFxfn8VNRV1cXTp8+jYiICBw8eBC5ubmrfm2w8iaO9RdlY7FYoFQqkZKSgrS0NGRkZHjcjyUIAkZGRtDV1YXx8XGEh4dLVYqv91fheR6MMald3Be4XC5MTU1hdHQUy8vLiIyMlG7+nkpL3DFTFIrBYIBSqXSrTgI9N8Kbc83pdOLy5csYGxtDWloaduzY4XEu7Ha71LQlVicOhwMcx11Xldxu0chAc6OcLS4uorm5GTU1NdKAJLkTMnIZHh7GBx98gE996lNuk4pCiRtVN+Iok8TERDfh3OzJyWAw4Pjx45icnER5eTn27NkT8KcsX2E0GiXRiPMAoqOjpbbt1NTUm96QDAYDurq60NPTA4vFgvT0dKlKCVa/11rR6/UYHR3FxMQEXC4X0tLSoNFokJGRcVOZLS8vSzKZnp4Gz/OIj49Hbm6uVJ2Eaj5WVjGbN2+GRqO5oQQYY9BqtW5VyfLyMoCrc9pWiiQtLS1kr5fm5mY4nU4cPHgw2KGsipCQC2MMr776KiIjI6WqZT3gcrncqpulpSWpuomNjXUbmRYXF4euri6cOXMGkZGROHjwIHJycoL8DXwHz/NuVY3ZbIZCoUBycrIkm+joaKlKmZiYQHh4OEpKSlBeXu6T/gK5wPO8VM1otVpERERIlUd4eDgmJycloRiNRiiVSmzYsEHqjF9PKwS4XC5cvnwZo6OjSE1NRUVFBRQKhZtI5ubm4HQ6pZUpVsokISEh2F/BZ4Ra9RISchkaGsKHH34Y0lXLajGbzW4j0/R6vTTiyWazYdu2bTh06BDS09NDpmPPG0wmkySa0dFRjI2NYX5+HuHh4SguLsauXbtQUlISMnOPvMVgMODChQs4f/681LSTmJiInJwc5OfnIy8vDxs2bFi3eRAEAUtLS+ju7kZLSwvm5+elCc/R0dHIyMhAZmYm0tPTkZaWFrJV2mppbm6Gw+HAwYMHZdWUdyNkLxexaomKisLDDz8c7HACCmMMFy5cwLFjx8DzvHQzFcfZx8TEuFU38fHxITOR8XbwPI/h4WGpL8XpdCI5ORlxcXFQKBTgOA7JyclSB+zK2fShjsPhwMTEBMbGxjA+Pg6TyQSFQoHIyEgoFAppkEhOTg40Go0s51t5i8VicRvBNTc3B5fLJa3ZZrVaYbVaUVhYiH379oX8ShqesrS0hKamJuzcuVP2D9qyl4tYtTzyyCMhUQr6Cp1Oh+PHj2N6ehpbtmzB7t27pacyi8VyXXUjCAKUSuV1fTdym7B3O5aXl9HV1YXe3l7YbDZkZWWhvLwchYWF0tO52WyWqpqFhQXwPI+oqChpUEBqamrIPcGKy+yMjY1hdnYWgiAgMTFR6jvJysqSvr/RaJT6ZhwOB1JSUqDRaJCZmSm7gS23QhAELC4uujVxiaMsxRGF4k9qaqr0/RcWFtDZ2Qm73Y7y8nIUFBTI/inel5w+fRp2u1321Yus5cIYwyuvvIKYmBg89NBDwQ4nIDDGcOnSJZw9exYxMTE4dOjQbZ9QeJ6HTqdzG5lmtVoBANHR0W7zbhISEmRX3bhcLgwNDaGrqwvT09OIjIyU+lJu13/A87y0dM/c3ByMRqPbiKC0tDS3BSblgt1ud6tOzGYzwsLCkJ2dLfWd3K4aE9f9Gh0dxeLiIsLDw6VqJi4uLkDfZPWYzWY3kczPz4Pnebd5UGIT1+3id7lc6O7uxtDQEJKTk1FRUbGuKrhbESrVi6zlMjg4iKNHj+LRRx+V/SJtvkCn06GxsRGzs7PYtm0bampqvH4Ct1qtbgMFdDodBEGQmhdWVjfBWnJDq9VKVYrdbkd2drb0JOrtE7jYrDI3NyfdvCIjI90W3AxGVcMYu646YYwhKSlJ6qxfS+VhMpkwOjqK8fFxOBwOJCcnQ6PRICsrKyjVzMoBGuJwYHFlC3H1hpVVibcxLi4uorOzEzabDWVlZSgsLJT107yvaGlpgc1mk3X1Ilu53ElVi9i3cu7cOcTFxeHQoUM+bwIUBOG66kZcuTUqKsqtulGr1X6rblwuFwYHB9HV1YWZmRlERUWhtLQUZWVlPq8wxM5gUTYGgwEcxyExMVESjT/nONhsNoyPj0s/FosFYWFhyMnJkaoTX1cYgiBI1czCwgLCwsKkpjV/9kuZTCa3qkRsrlQqlVJzpfjj634SnufR3d2NwcFBJCUloaKiQpaVmy/RarU4deoUqqurZbvFg2zlMjAwgI8++gif/vSnkZ6eHuxw/Mby8jIaGxsxNzeH7du3o6amJmAjf2w223XVDc/zUCgUUKvVbtXNWtcyWlpakqoUh8OBnJwclJeXIz8/P2BP1lar1a2qcblciIiIcKtq1jIHgjGG+fl5aXn6ubk5MMaQnJwsVScZGRkB+75ms1mqZsTNpTQaDTZs2LCmGHiex/z8vJtMzGYzgKsThMVBFpmZmQFdV25paQmdnZ2wWCwoKytDUVGRbJ/qfUFLSwusVisOHToky+8pS7kwxvDyyy8jLi4On/jEJ4Idjl8QBAEXLlxAa2sr4uLiUFdXF/SmP0EQoNfr3aob8aaxcoO15ORkqNXq2940nE4nBgYG0NXVhbm5OURHR0tVSrDnHwiCAK1WK8lGr9cDgFTVrHbmttVqlSqTsbEx2Gw2hIeHIzc3V6oYgj2iSdwxcnR0VFpWJDs7GxqNZlXHQdz4SmziWrnx1bVVSbAXVBSXURkcHIRarUZlZeW6rWLkXr3IUi7rvWrRarVobGzEwsICduzYgerqatnOU7h2gzWtVistTXFtdSPeRBcWFtDV1YX+/n44HA7k5uZKVYrcBhOI2Gw2t6rG6XQiPDzcraqJiIgAYwxzc3NS38n8/DwAIDU1VZLJrWbUBxuz2SwNIhDXSROrGZVKBZfLdV1Vcu3GV+KPnPfw0Wq16OzshNlsRmlpKYqLi2X5dL9Wzpw5A4vFIsvqRXZyEauW+Ph4PPjgg8EOx6cIgoDOzk60tbVBrVZLkyFDCXGDtZXL2JhMJrhcLiwuLkKr1cJutyMlJQVVVVXYsmVLyM1BEZcTEWUjDnkW51hERkYiMTFRaurKyckJenXiKYIgYG5uDleuXEF/fz8MBoO0ZlpUVJS08dXKxRzlttfK7eB5Hr29vRgYGIBarUZFRUXInYu3Y3l5GSdPnkRVVRWys7ODHY4bspNLf38/Pv74Y/zDP/xDwFc39idLS0tobGzE4uIiKioqUF1dHVJzEm7G/Pw8Lly4gAsXLsBgMCAuLk7a20apVCIhIcGtugmF4aLijXflml1GoxEqlQqRkZFQq9Vuy4ykpaWFxHyilRtfif+0Wq1wOBxwuVzgeR7R0dHQaDTYunUrcnJyZFtRe8Ly8jI6OjpgNptRUlKC4uJi2VZc3iDX6kVWchEEAS+//DISEhLWTdXC8zw6OzvR3t4OtVqNurq6kJemw+FAf38/rly5gsXFRcTGxqKsrAylpaWIi4vzaIO1pKQkWdzAVjYXicN5IyMjpaau3NxcREVFSUu3ixWNuEBiQkKC1HyWlJQki5uXGKfYvCVu5Hazja/EJr/R0VHMzc1BoVBIfTOhvl6ZIAjo7e1Ff38/EhISUFFREfR+P18hVi+VlZWyWm9QVnLp6+tDQ0PDuqlaFhcX0djYiKWlJVRWVqKqqiqkq5XZ2Vl0d3ejv78fPM9Do9GgvLwceXl5t31iut0Ga9duH+3vJzBxyK5YnSwtLQEA0tPTpeau1ex7b7fbpS2f5+bm4HA4pI5uUTaBaE66duOrubk5aZkgbza+slqtUm6sVisSEhKg0WhCepVl4Opcso6ODhiNRpSUlGDjxo2yeBBYK2fPnoXJZEJdXZ1sqhfZyEWsWtRqNR544IFgh7MmeJ5He3s7Ojs7kZSUhEOHDvl8b5FAYbfb0dfXh66uLiwtLSEuLg5lZWUoKytbUz/DyuomUBusmUwmt619HQ4HoqKi3KqTtTRvMcag0+ncqhrGGOLj4yXR+KIT/HYbX62c6b7WBU7F4dWjo6OYnZ2FQqHAhg0boNFoAr43jK8QBAF9fX3o6+tDfHw8KioqZLmKgyfodDqcOHFCVtWLbOQiVi2PPfZYyN6IgasjpRobG7G8vIyqqipUVFSEZLUyMzODrq4uDAwMQBAEFBQUoLy8HDk5OX57MvL1Bmvi8iiiULRaLTiOQ0ZGhiSU1NRUv30fh8PhVtXY7XaoVCq3LZ9XM3RX3PhqpUyCsfGVzWaTcmmxWBAfHy9JORSrGZ1Oh87OThgMBmzcuBElJSUhXcXIrXqRhVwEQcBf/vIXJCUl4f777w92OF7B8zza2trQ2dmJlJQUHDp0CCkpKcEOyyNsNptUpWi1WsTHx6O8vBwlJSVBGw21mg3WkpOTkZiYiPDwcBgMBmnOyeTkJJxOJ2JiYiSZ5OTkBGWrAsYY9Hq9JBqtVgvGGOLi4iTRpKSkgOM42W98xRjDwsICRkdHMTMzA4VCgaysLGg0mpDbV0cQBPT396O3txdxcXGoqKgI2f4luVUvspBLb28vGhsbQ7ZqmZ+fR2NjI3Q6Haqrq6UNjUKF6elpdHV1YXBwEIwxqUrJzs6WxRPQSq7dYE2ck7GwsACTyQRBEBATE4OCggKUlpZCo9HIUvJOp1Oazd/X1yetCCyu8JyQkICsrCy3Ji45Nt2IS9yMjY3BbDYjLi4OGo0GOTk5IbXjo16vR2dnJ/R6PYqLi1FaWhpS17DIuXPnYDAYUF9fH/RrN+hyEQQBf/7zn5GSkoL77rsvmKF4DM/zaG1txfnz55GSkoK6urqQeXKz2Wzo6elBd3c3lpeXkZCQIFUpwZ5lfTv0er3UPDM1NQWz2Sz1bURHRyMiIgJKpRIqleq6RTqDucHayrXOxMUcdTodgKvVQEREhLRXTXx8PNRqtVtVI+fmVXFhTrGaASBVM3KU+40QBAEDAwPo7e1FTEwMKisrQ66K0ev1OH78OCoqKpCbmxvUWIIul56eHhw7dgyPP/54yJyEwNX9vRsbG2EwGLBz505s375d9k86jDFMTU2hq6sLw8PDAOBWpcgVl8uFqakpSSh6vV5qihGbu1ZKnef567aPttvtAK7fYC0hIcFvT3hWq/W67XjFja+u3Y535eQ+cZa82IRmtVqhVCqRkpIiyUbO84XE7QRGR0dhMpkQGxsrVTOhsHuqwWBAZ2cndDodioqKUFpaKmuxX4tYvdTV1QX1nhRUuYRi1eJyuXDu3DlcvHgRaWlpOHTokOxHzVitVvT09KCrqwt6vR6JiYlSlSLXyX/Ly8tSc8vU1BR4nkdcXJw0THjDhg0eNbv4e4M1bze+Wg0Gg0ESzdLSktT0J4pmLUvW+xuxmpmengYAZGZmStVMsJttbgVjDAMDA+jp6UF0dDQqKytlf52LyKV6Capcuru7cfz4cXzmM58JieakmZkZHDt2DEajETU1Ndi2bZtsqxXGGCYnJ6UqheM4FBUVoby8XJYbDDmdTkxOTkpCMRgMUCqVyMrKkoTiyyaKazdYW1pakuaFREdHX1fdXHucxY2vxCYuce8YhUKB1NRUN5n4cuFEl8sl7ZMyNzcHi8UiVUKibOS4UKO4dfPo6CiMRiNiYmKg0WiQm5sr62rGaDSio6MDy8vLKCoqQllZmWxFvpLW1lbodDrU19cH7R4VNLnwPI8///nPSEtLw7333huMEFaNy+XC2bNncfHiRWRkZODQoUOybYs1m83o7e1FV1cXDAYDkpKSUF5ejk2bNsmuStFqtdKs+OnpafA8Lw1vFauTQA5xFTdYE6sbcYM18Qmb53nY7XZYLBapmc2XG195g9FolEQjrlYcHR3tVtXIYQWElSwtLWF0dBRTU1NgjEnVjD+Hha8FxhgGBwfR3d2N6OhoVFRUyP5h2GAw4NixY9ixYwfy8vKCEkPQ5BIqVcv09DSOHTsGk8mEXbt2Ydu2bbK7ABhjmJiYwJUrVzAyMgKFQoHi4mKUl5f7fNOxteBwONyqE6PRCKVSiQ0bNkhCkcOIKHHjq+npaQwNDWF8fBxGoxE2mw1RUVFITExERkYGCgoKkJ2d7fcN1lbLyt0f5+bmYDaboVAokJycLMlGTgs3itWMWKlGR0dL54HcHoSAq+dFR0cHtFotCgsLUV5eLusqJtjVS1DkIlYt6enpOHz4cKA/flU4nU6cPXsWly5dQmZmJg4dOiSLG99KzGYzuru70d3dDaPRiOTkZGzevBkbN26UTVPD0tKSW3UiCALUarU0+U5c6j1YeLrx1cplbPy9wdpaMZlMblWNOMxZFE1aWppsqhqtVitVM4IgICMjAxqNZlVL8AQSxhiGhobQ3d2NyMhIVFRUyHYgkli9bN++HRqNJuCfHxS5dHV14cSJE3jiiSdk2Uk2NTWFY8eOwWKxYPfu3diyZYtsTnDGGMbGxtDV1YXR0VEolUps3LgR5eXlsli+f+XTqDj3QaVSITs7WxJKMBcMFDvHV27Hu5aNr1azwdrK7aOD9aTL8zwWFxcl2ZhMJnAc51bVyGEhR7HvbWRkBAaDAVFRUVI1I6cl/00mEzo7O7G0tCSNuJSLqFfS1taG5eXloFQvAZeLWLVkZGTgnnvuCeRH3xan04mWlhZcuXIFWVlZOHTokCwuOOBq27o4L8VkMiElJUWqUoI9WW1xcVGSyczMDBhjbvudZGVlBeWmGqyNr1ZusLa0tITl5eXbbrAWaMxms9teNTzPIzIy0q2qCfaSLsvLyxgdHcXk5CQEQUB6ejo0Gg3S09Nl8bDHGMPw8DC6uroQERGBiooK2U0CNxqNaGxsDEr1EnC5iGuIybFqOX78OAYGBrB7925s3rxZFiewyB//+EdYLBapSpHLqtFmsxm/+93vpK1zxepEDm37AwMDOHr0qNvGV+I/A/kULC79srK6MZlMiIuLw9133x2wOG6GOIxalI3RaIRGo8GOHTuCHRqAqw8Jk5OTGB0dhU6nk83yJiJms1mqYu65556gN4deS1tbm9T3Esh7mk/k4ulbGAwGr24+3iTGk9gcDgcEQfCqM9HfsZnNZkRGRnpVAfg7NoPBgNjYWK+e/D2NzZO4XC4X7Ha7V9WBv3PmcrngcDi8uhH5OzZxJJw3/XaBuA6ioqJkd64BkCaMekogjifHcV61cKxFRj6RS2trq187tcQLcfPmzR6/1t+xOZ1OOJ1Or2I7d+6c3/O23mKTa1zA1RGQ/mxGFQQBTqcTBQUFHr+2p6fHr7HxPA+Xy4X8/HyPX9vb2+vXSlfMm6exUc48z9lKfNIDJS4v7w+0Wi0aGxuRkJDg1QXvz9jErYvXElt1dbUfIvuv2OLj49dVbHKNC7javl1aWuqHyK7OwWlpaUFsbKxXchE3x/IHNptNis2bm5HRaMSmTZv8ENnV2M6cOeNVbJQz72IT8YlcOI7zy0gExhjefvtt7Ny5E5OTk16/jz9jq6mpwcTEhNfv4++8rcfY5BoXx3F+a9NubW1FYmKitHunN/grtra2NiQkJIDnea9e78+8dXZ2Ij4+HoIgePV6ypn3yHPtkv9kZmYGDocD5eXlwQ7lOuQc2/T0tNfNiP5mZmYGdrtddrHJOWeMMWi1Wmzbti3YoVwHYwxLS0vYvn17sEO5DnGlZrnl7U7JmWzlwhjDe++9h7vvvltWo7aAq7G9++67FJuHMMbwzjvv4J577pFVbHLOGXB1d1OFQiHLeRQGgwEcx8lypro47FxuedPr9bLNmdVqBeCbnMlWLiMjIwDgVfuyvxGXqy8sLAxyJNczNDQEQJ6xjYyMgDEmu9jknDPg6iCGioqKYIdxQ86ePYuSkhJZSrmtrQ35+fmyi+3s2bMoKyuTXVzA1Zzl5eX5JDZZyoUxho8//hj333+/7A6A3GP76KOP8OCDD8oytqNHj8ouNjnnDLg6osjpdMpqXocIY0yaeyU3xLlFcmu2ZozBarWiuLg42KFcB2MMOp3OZ03DspRLd3c3wsLCZLk0fFdXF8LCwrBhw4Zgh3Idly5dQkREBOXNA+ScM+BqfGq1WpbiGx8fR3h4eNAX7LwRi4uLUCgUsmt6GhoaQmRkpCyPp1ar9Wnzq+zOCsYYTp06hYceekh2B0CM7eGHH5ZdbIIgoLm5GZ/85CdlFxtjDCdPnpRd3uScM+Bq3kZGRrB79+5gh3JDLly4gJqammCHcUPa2tpk2ZF/5coV2R7P1tZWbN261WfvJzu5tLe3IzY2VpbL8Le2tiIuLk6WsZ0+fVpat0punD17FvHx8bJbPVbOOQOuzmXgOE6Wy887nU4IgiDLa0Gc2Cy3pkSTyQTGmGzWK1yJ0+mEw+Hw6c6VspKLIAhoa2uT5ZMkz/Nob2+XZWxOpxMXL17Epz71KdnF5nK50NHRIbvY5JwzkTNnzsi2s7y1tRWZmZmyjK29vR0ZGRmyi62lpQWlpaWyiwu4ejyzsrJ8Gpus5HLq1CmkpKR4tT6Pv2lsbPT5lrW+gDGG999/HxqNRnYL5gHA0aNHkZ2dLatjKg5zl2vOgKsxms1mv83CXguMMczPz6OysjLYoVyHuD+P3GJzOp2wWCyyPJ5OpxOLi4s+H5EoG7k4nU50d3fLsq/FbrdjYGAADz74YLBDuQ69Xo+JiQlZbhVtMBgwMjKCBx54INihuKHT6TA5OSnLnIkMDg56vUCjv5mYmEBYWFjQl+S/EefPn0dycrLs5racPXsWGzZskN29Dbg61N0f22LI5sz94IMPoNFoZNe+zBjD3//+d5SUlMhmd0cRxhjeeust7NmzR3YXkxhbTU2NrG5CYly1tbWyy5mInDt+GWM4f/48du3aFexQrkMQBExNTclukIG4pYHcqingarP10tKSX+ZRyUIuer0ek5OTsts8DLg6O3pxcREHDx4MdijX0dvbC5fLJZt9N1bS09MDh8Pht0VDveXixYsAILuRRCsxGo0AIMuOX71eD8aYLDvyr1y5gvj4eFk9zABXz7lg7kJ6Kzo6OpCamuqX2IIuF8YY/vrXv2LXrl2ye5IUq5ZDhw7JrnmC53kcO3ZMlgMMXC4Xjh8/LrvYHA4Hmpub8cgjj8gqrpUwxnD69GmUl5fLLkbGGFpaWrB161ZZxibHYduMMYyOjmLPnj3BDuU6GGOYnZ312yrjQb1jMsbQ2toKjuNk9/TNGENTUxOio6Nl2QnX2NiItLQ02W2rKg4wyM7OllVs4oNCcXEx1Gp1sMO5KRaLRbYzuJeXl+FwONa0DLu/GB4eRkREhOyarsVJk8HeivxGDAwMICoqym+VXlDlMj09jc7OTjz66KOyexKamprClStXZPmUu7y8jP7+ftlNSgSuHtOJiQk88MADsoptYGAAS0tLAd/q1RPEBxo5Dj8WK6qKigrZxSYIAq5cuYK9e/fKKjax70xucQFXY+vp6fFrpRc0uZhMJrz77rs4fPiwrIapAldHE7377ru49957A7rX+mpwOBx48803sW/fPtk9Ddntdrz99tu49957ZdXEqdfr8fHHH+Phhx+WZbu3yPT0NGw2m982HPMW8SYZHh4uu4mJjDF0dnZCrVbL7j7S3d2NqKgo2U1fAK7210ZFRfk1Z0GRi8PhwBtvvIFt27bJrsS2Wq144403UFVVJbvYHA4H3nrrLWRlZfl0mQZfwPM83nzzTRQVFclqJWur1YrXX38dNTU1yMjICHY4N8Vut6O1tVWWT7lzc3MYGhrC/v37ZRWbIAi4fPkyFhcXsWfPHlnFptVq0d/fj7vuuktWcQFXd1zt7+/Hvn37/BpbwB8vnU4n/vrXvyIjIwM1NTWySrzL5cLrr7+O4uJiVFZWyio2q9WKv/71r0hISMC9994rq9jEfpawsDDU1dXJJjan04k33ngDBQUFATuejDGPP0cQBJw4cQJ5eXl+XSLHm9gsFgvOnj2LXbt2+XWagNFoRHR0NBQKxapitNls6OzshM1mw/79+/3Wb2Cz2aR+nNXEJW4E1tLSgh07dvi15cPlckGpVK76mDLGsLCwIG3h4O9WmYDJhTEGo9GI999/H/Hx8QHdMOp2F5W4dPiHH34ItVod0KeN1cS2tLSEd999F9nZ2bIbueZyuXDs2DHo9Xo8/vjjAYltNTmz2Wx45513oFarcfDgwYAdz/b2dqSmpiIpKQkxMTG3vVkKgoAzZ84gIiICO3bs8Guc3d3dSE1NRUJCgtSkeqvPc7lcOHHiBDZt2oT09HS/xQVcnWSoUqmQlJSElJQUqNVqREZGXpc/cVn41tZWpKamYufOnX5tgj158iRiY2ORkpKC5ORkt6HO1+bObrejp6cHU1NT2Lp1K/Ly8vwWFwA0NTVBrVYjNTUVarVamnR7o2PqcrkwMDCA4eFh7NixIyCrk/vsqIj7LsfFxSE6OhoqlQqMMbhcLjgcDkxOTuL8+fMoKirC3r17A3qD7OjoQEJCAuLi4hATEwOVSgWe52E2mzE7O4uZmRnMz88jLS0t4LsRnjlzBgkJCYiPj0dsbKy0hLkgCLDb7RgaGsKFCxewfft2VFVVBTS2CxcuSHFFR0dDqVRK+4s4nU4sLy/j4sWL4DgOn/70pwM2v6ClpQVqtRoJCQmIiYlBREQEOI6DIAiwWq2YmprCxYsXkZqaGvBdL+Pi4jAxMYHe3l6Eh4dLN8u4uDjp2DLGpOPb3d0Nm82GAwcO+D1Ou92Oy5cvw+VyIS4uTpJgVFSUdGztdjsEQQDHcdL8jEAMMKitrYXBYMDi4iKGhoZgs9kQGRmJpKQk6aauVCoxNzeHy5cvo6ysLCAbge3evRtLS0tYXFzE+Pg4GGOIj49HcnIyEhMTpWprcXERV65ckR5OY2Nj/R7b5s2bsbi4iJGREVitVkRERCApKQlJSUnS+QZcHQDU29sLpVKJffv2IS4uLiDXhM/ksry8jPHxcVitVvA8f13w8fHxqK+vR3Z2dsCbTQwGAyYnJ2G1WuFyuaSbt0KhQGJiIrKysrBjxw6kpaUFPDae5zEyMgKTyQSHwwGO48BxHBhjYIwhMTERDz74YFAW4pudnZUudJ7npbxxHAeFQoHIyEiUlJSgrKwsoB34giBgeHgYZrP5upwBVycf7tmzBwUFBQGv8jZt2oSNGzfCbrdDp9NJN0u73S5VXGKcAJCamoqampqADDTYsWOH9FC1tLSEhYUFjI2NQRAE6W/EJ1/GGFJSUgI2pyUqKgpRUVFIS0uTNtTS6/VYXFxEf3+/dJyVSiV27tyJ1NTUgMQVHx+P+Ph4aDQauFwumEwmLC0tYWlpyS13SqUS5eXlAb2/paamIiUlRarUdTodlpaWMDw8DLvdLv2dQqGARqNBXl5eQAe0+OSOoFAoUFhYKFUqdrsdLpcLHMdBpVJBpVIhPDwcPM9jbGzMq8/wdsSFUqlEQUEBBEGQnsycTidUKhUiIiIQFhYGjuNgtVqDEltOTg6ys7PB8zwcDgccDod0EwoPD0dUVBTsdrvXscXHx3sdW1FREQRBkI4pz/NQKpUICwuDQqGQ/jk5ORmw2G6WM0EQoFQqpbkOHMdhfHw8YHEBV5tJZmdn3f6f2JwiVnviQ424KVNYWBgWFhZW/RneLrSpUCgwNzfn9j65ublwuVxwOp3geV66VsWbo1KpxPz8vN9ju1HexJjT0tKQkpICh8MBnucRGRkJQRDcvou/YlMoFDeMKzY2FjExMdL5JwgCIiMjoVKpAhIXcOOcKRQKSTji+QYAkZGRUCqVHp1na4lNipGtfIzyEpfLteq/FQQBJpPJ4wtYfGrxFE9iE2+iMTExHn1GIGLzlkDEptfrER8f7/ETmzexeRIXYwwGg8HjZVS8zRnP86v+W/HJ0tNJf2LV6CmexGaxWBAeHu5xNRqI2LzFm9g8iYsxBpPJ5PGDZiByxvM8bDabV/e1tVT+PpGLJ8zNzaG3txeJiYnIy8uT1fpJ/f39WFxcxNatW2U3Zp7neVgsFqnvQy7Mzs6ir68PJSUlfu/0XS3iqJixsTFYrVbs3LlTdguiDg8PY2FhAampqdiwYYNsZpYzxnDx4kWoVCqUlJTIar4ScPU6sFqtUj+RHBCXnllYWMD27dtlcyx5npf6lMPCwgK+nl7Ahx2lpaVhw4YN6Orqwp/+9Ce8/fbbmJmZCXQYNyQvLw9TU1N49dVXPS4h/Y1Wq8VLL70ErVYb7FAkenp68MYbb0AQBKSlpQU7HDDG0NfXh7/85S947bXXMDs7i02bNslOLACQm5uLxMREdHd344MPPkBnZycsFkuwwwLHccjPz8fY2BiamprgcDiCHZIbRqMRDQ0N0uKewUZcJfrixYvIzMyUhVhcLhf6+vpw9OhRdHR0ICwsDBs3bgx4HAGvXEQYYxgaGkJbWxu0Wi1ycnJQXV2NzMzMYIQjIc4y1+v1ePjhh2WzPtbCwgJeffVVPP7447KIqbu7G8eOHcPmzZuDPrlOEAQMDAygra0NOp0OGo0G1dXVsqmkboXL5cLw8DAGBgbgcDiQl5eHTZs2edyE4Wv0ej2am5sRHR2NvXv3ymY1CJ1OhxMnTuDAgQNBXyNOFMv4+DgqKyuDvnqB0+nE8PAwBgcHwfM8NBoNiouLg7bKSNDkIsIYw/DwMNra2rC0tITs7GxUV1cjKysraDE5HA68/fbb0Ol0shGMnOSyUiwHDhwIWhyCIKC/vx/t7e3Q6XTIz89HdXW1LKooT3G5XBgZGZFGRslBMgaDAU1NTYiKikJtba0sBCMXuYjLzkxMTARdLE6nE0NDQxgaGpKksnHjxqBX7EGXi4jYbtnW1obFxUVs2LAB1dXVAZnscyNWCuahhx4K+g1LLnLp6urC8ePHsWXLFuzfvz8oMQiCgL6+PrS3t0Ov1yM/P18anhrqiEPT+/r64HA4kJubi02bNgWtD9BgMKC5uRmRkZGyEIwc5LJSLFVVVcjOzg5KHCulIgiCVKkEWyoispGLiCiZ9vZ2LCwsICsrCzt37gyKZBwOB9555x1otVo8/PDDQRWMHORy5coVnDhxAlu3bsVdd90V8M8XpdLW1gaDwYCCggJUV1evC6lciyiZ/v5+2O32oEpGToIJtlzkIBa5S0VEdnJZiVjJiJKprq4O+MFcKZiHHnooaO34wZaLKJZt27Zh3759Af1sQRDQ29uL9vZ2GAwGFBYWorq62q/rcMkFnucxOjqKvr4+2O125OTkoKSkJOCSMRqNaGpqQkREBGpra4PWcR1MuTDG0NHRgcnJyaC0qjgcDkkqjDHk5+ejqKhIdlIRkbVcREZHR9Ha2oqFhQVkZmaiuro6oG2cTqcT77zzDpaWloImmGDK5fLlyzh58mTAxcLzPHp7e9HR0QGDwYCioiJUV1fLcotdfyNKpr+/HzabDdnZ2SgpKQnocu5yEEyw5BJMsdxIKsXFxbIYmXYrQkIuImNjY2htbcX8/DwyMjKwc+fOgElGFMzi4iIefvjhgAsmWHIRxbJ9+3bU1tYG5DNFqbS3t8NoNN7RUrkWcZWLvr4+WK1WqZIJlGSMRiOam5sRHh4eFMEEQy6MMbS3t2Nqago7d+4M2GAjh8OBwcFBDA8PgzGGgoICFBUVyV4qIiElF5GxsTG0tbVhbm4O6enp2LlzJ3Jzc/3+uU6nE++++y4WFhbw0EMPBXR/kGDI5dKlSzh16hR27NiBvXv3+v3zeJ5HT08POjo6YDQaUVxcjOrqaiQlJfn9s0MNQRCk5jKr1SpVMt4uXeMJomDCwsKwb9++gN7sAi2XYIjFbrdLUgEQclIRCUm5iIyPj6O1tVWSTHV1td+XuV4pmE984hMBm5cTaLlcvHgRTU1NARGLKJX29naYTCZs3LgRVVVVJJVVIAiCVMlYLJaAScZkMqGpqQlhYWGora0NWLt/IOUiCALa29sxPT0dELGslArHcZJUgj1Cz1tCWi4iExMTaG1txezsbEAk43Q68d5772F+fj5gggmkXESxVFRUYM+ePX77HJ7n0d3djY6ODpjNZqlSSUxM9NtnrleulcyGDRtQWlrqV8kEQzCBkosolpmZGezcudOv17jdbsfAwABGRkbWhVRE1oVcRCYmJtDW1oaZmRmkpaWhuroaGo3GL5+1UjAPPvig359qAiWXCxcuoLm5GZWVldi9e7dfPoPneXR1daGjowMWi0WqVEgqa0cQBIyPj6O3t1eSTElJid/W8DOZTGhuboZKpQqIYAIhF0EQ0NbWhtnZWb+KxWazYXBwUJJKYWEhCgsLQ14qIutKLiKTk5Noa2vD9PQ0UlNTUV1djfz8fJ9/jsvlwnvvvYe5uTm/CyYQcjl//jxOnz7tN7G4XC50dXVJ62ht2rQJVVVVQV/GYz0iSqavrw9msxlZWVkoLS31i2TMZjOampqkzaj8KRh/y2WlWGpqavzSr2qz2TAwMIDR0dF1KRWRdSkXkampKbS2tkqSqaqqQkFBgU8/QxTM7OwsPvGJT/hNMP6WS2dnJ1paWlBVVYVdu3b59L1FqXR0dMBqtZJUAoggCNLOmKJkSkpKfJ77QAnGn3IRBEHqw/WHWFZKRdwDq7CwMGA7uAaadS0XkenpabS2tmJqagopKSlSJeOrxRZdLhfef/99zMzM4MEHH/TLGHh/ykUUS3V1NWpqanz2vi6XC1euXEFnZyesVitKSkpQVVUlq20W7hQYY1IlYzKZkJmZidLSUp/eoFcKpra21i8LJvpLLv4Ui81mQ39/P0ZHR6FUKte9VETuCLmITE9Po62tDZOTk0hOTkZ1dTUKCgp8IpmVgnnggQd8vpKAv+TS0dGBM2fO+FQsTqdTkordbpekEohhssStYYxJlYw/JGM2m9Hc3AyO47Bv3z6fC8YfchEEAefOncP8/Dx27drlszls10qlqKgIBQUF614qIneUXERmZmbQ1taGiYkJJCcno6qqCoWFhWuWjMvlwgcffIDp6WmfC8Yfcmlvb8fZs2exc+dO7Ny5c83v53Q6cfnyZZw/f56kInNEyfT19cFoNCIjIwOlpaU+GVRhsVjQ1NTkF8H4Wi7+EIvVakV/fz/GxsagUqmkSkVuG6/5mztSLiKzs7NobW3FxMQEkpKSUF1dvWbJ8DyP999/H1NTU3jggQd8toKAr+UiiqWmpgbV1dVrei9RKp2dnXA4HCgtLUVlZSVJJQRgjGFychK9vb0wGo1IT09HaWnpmucYrRRMbW3tmvdjF/GlXHwtlmulIlYqd5pURO5ouYjMzs6ira0N4+PjSEpKQlVVFYqKiryWDM/z+OCDDzA5OekzwfhSLm1tbTh37tyaxeJwOKRKxeFwoKysDJWVlQFd74rwDYwxTE1Noaenx2eSEQUDAPv27fOJYHwlF57npfUKd+3ataYVzy0WC/r7+zE+Pk5SWQHJZQVzc3Noa2vD2NgYEhMTUVVVheLiYq8k42vB+Eoura2taG1txa5du1BVVeXVezgcDly6dAkXLlyA0+mUKhWSSugjSqa3txcGgwHp6ekoKSnxel03XwvGF3LheR7nzp3D4uLimsRyrVSKi4uRn59/x0tFhORyA1ZKRq1Wo7q62ivJ8DyPDz/8EBMTE7j//vvXtP6ZL+QiimX37t2orKz0+PUOhwMXL17EhQsX4HK5pEolWBtZEf6DMYbp6Wn09PTAYDAgLS0NpaWlXknGarWiqakJjLE1C2atclkplt27d3t1LVksFvT19WF8fBzh4eGSVJRKpcfvtZ4hudyC+fl5tLW1YXR0FGq1WqpkFArFqt9jpWDuu+8+r5elWatczp07h7a2Nq/Ecq1UysvLUVFRQVK5A7iRZEpKSjzeS8dXglmLXHiex9mzZ7G0tOSVWMxms1SpkFRuD8llFSwsLKCtrQ0jIyNQq9WorKzExo0bVy0Znudx9OhRjI+Pey2YtchFFMuePXtQUVGx6tfZ7XZcvHgRFy9ehMvlwubNm1FRURHUfd2J4MAYw8zMDHp6eqDX65GamorS0lKPJLNSMLW1tV6dR97KZaVY9uzZ41HcZrMZfX19mJiYQEREBIqLi6HRaEgqt4Hk4gELCwtob2/H8PAwEhISUFVVtWrJ8DyPjz76CGNjY14Jxlu5nD17Fu3t7di7dy927NixqtfY7XZcuHABFy9eBM/zJBVC4lrJpKSkoLS0dNXnpNVqRXNzM3iex759+zw+p7yRi7diMZlM6O/vJ6l4CcnFCxYXF9HW1obh4WHEx8ejqqoKmzZtuq1kRMGMjo7ivvvu82hRTW/kcubMGXR0dKxaLDabTapUBEGQpOKrYaTE+kKUjE6n80gyaxGMp3LheR5nzpyBVqtdtVhMJhP6+vowOTlJUlkDJJc1sLi4iPb2dgwNDSE+Ph6VlZUoKSm5pWQEQcBHH32EkZER3HvvvateUNNTubS0tKCzsxO1tbXYvn37Lf/WZrPhwoULuHTpEgRBwJYtW7Bjxw6SCrEqVkomOTkZpaWltx2BZbPZ0NTU5LFgPJHLSrHs3bv3toMRjEYj+vv7Jals3LgReXl5JBUvIbn4gKWlJbS3t2NwcBBxcXFSJXOzk9IbwXgiF1Es+/btw7Zt2276dzabDefPn8elS5fAGMPWrVuxY8cOv6wJRax/Zmdn0dPTg+Xl5VVJxmazobm5GS6XC7W1tasaILJaufA8j5aWFuh0OuzZs+eWYjEajVKlEhUVhY0bNyI3N5ekskZILj5Eq9Wira1NkoxYydzoJBUEAR9//DGGh4dx+PDh267WvFq5nD59GufPn7+lWFZKBYBUqZBUCF8wNzeH7u5uLC8vIykpCaWlpTed/S4Kxul0Yt++fbcVzGrk4nK5cObMmduK5UZSycvL82g0KHFzSC5+QKvVor29HQMDA4iNjUVlZSVKS0uvk4wgCGhoaMDQ0NBtBbMauTQ3N+PChQu46667sHXr1ut+b7Vacf78eVy+fBkApEolUFvUEncWc3Nz6OnpgVarvaVk7HY7mpqaViWY28nF5XKhpaUFer0ee/fuveEKAwaDAX19fZiamkJUVBQ2bdqE3NxckoqPIbn4keXlZbS3t6O/v/+mklkpmHvuuQeFhYU3fK/byUUUy/79+7Flyxa331mtVnR2duLy5cvgOA7btm3D9u3bSSpEQJibm0Nvby+WlpaQmJiI0tLS65a0XymY2tram672cCu53E4sK6USHR0tNX+RVPwDySUAiJIZGBhAdHQ0KisrUVZWJklGFMzg4CDuueceFBUVub2eMYa+vj5JLps2bXJbLaCpqQkXL168TiwWi0WqVBQKBbZu3UpSIYLG/Pw8enp6bioZu92O5uZmOByOGwqGMYbh4WE0Njairq7ObbuMW4nFYDCgt7cX09PTiI6OxqZNm5CTk0NS8TMklwCi0+mkSiY6OhoVFRUoKyuDSqWCIAhobGzEwMCAJBidToeXXnoJP//5zzE0NCS9T2FhIb7+9a/jC1/4Ai5fvoyLFy/iwIED2Lx5M4CrUuns7MSVK1egUCiwbds2bNu2jaRCyIL5+Xn09vZicXERarUapaWl0j71omDsdjv27duHuLi4214Hn/vc59DV1QWj0Yi9e/dK2wbo9Xr09vZiZmaGpBIESC5BYKVkoqKiUFFRgfLyciiVSjQ2NqK/vx+RkZF45plnYLFYAFx9ahMRn9YiIiLwj//4j/jqV7+K8vJymM1mSSpKpRLbt2/Htm3bEBEREZTvSRC3YmFhAT09PddJxm634/Tp07DZbLDb7fj85z9/0+uAMYbIyEj8z//5P/H1r38diYmJblKJiYnBpk2bkJ2dTVIJMCSXIKLX69He3o6+vj5JMmVlZfjpT3+K73znOwDcL6Zr4TgOHMfhrbfeQlJSEq5cuQKVSiVVKiQVIhRYWFhAb28vFhYWkJCQIC2Q+eyzz+Lb3/42GGOrug5ee+01bNiwAbOzs5JUcnJyfLadOeEZJBcZoNfr0dHRgd7eXjDG8M1vfhN2u31Vr+U4DmFhYfjJT36CPXv2YNu2bQgPD/dzxAThexYXF9HT04OFhQUolUp85jOfgc1mW9VrOY5DeHg4XnnlFVRWViI7O5ukEmSoTpQBCQkJOHToEJ588kn09PSsWizA1crG4XCA53lUV1eTWIiQJSUlBfv27cNdd92FY8eOrVoswNXrwG63Y2xsjKoVmUCVi4xgjKG4uNit03I1cByHgoICDAwM0EVFhDx0HawPSC4yYnFxcU27TC4uLnq9YyBByAW6DtYH1CwmI0wm05pebzQafRQJQQQPug7WByQXGbHWnR1pD3tiPUDXwfqA5CIjkpOTUVhY6HF7McdxKCwsvOE6SgQRatB1sD4gucgIjuPw9a9/3avXPvPMM9SJSawL6DpYH1CHvszQ6XTIzs6G1WqFIAi3/XuFQoGoqChMTk56tKc4QcgZug5CH6pcZIZarcabb74JjuNuu1yFQqGQZujTBUWsJ+g6CH1ILjLk8OHDeO+99xAVFSUtbbES8f9FRUXh/fffxz333BOkSAnCf9B1ENqQXGTK4cOHMTk5iWefffa6TcQKCgrw7LPPYmpqii4oYl1D10HoQn0uIQBjDFqtFkajEXFxcUhKSqJOS+KOg66D0ILkQhAEQfgcahYjCIIgfA7JhSAIgvA5JBeCIAjC55BcCIIgCJ9DciEIgiB8DsmFIAiC8DkkF4IgCMLnkFwIgiAIn0NyIQiCIHwOyYUgCILwOSQXgiAIwueQXAiCIAifQ3IhCIIgfA7JhSAIgvA5/x+KOztf+LbWIQAAAABJRU5ErkJggg==\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model = KAN(width=[2,5,1], grid=5, k=3, seed=0, scale_base_mu=5, scale_base_sigma=0)\n", - "x = torch.normal(0,1,size=(100,2))\n", - "model(x) # forward is needed to collect activations for plotting\n", - "model.plot()" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "id": "bb2b1358", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model = KAN(width=[2,5,1], grid=5, k=3, seed=0, sparse_init=True)\n", - "x = torch.normal(0,1,size=(100,2))\n", - "model(x) # forward is needed to collect activations for plotting\n", - "model.plot()" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "fc98e243", - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.7" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/tutorials/.ipynb_checkpoints/API_6_training_hyperparameter-checkpoint.ipynb b/tutorials/.ipynb_checkpoints/API_6_training_hyperparameter-checkpoint.ipynb deleted file mode 100644 index 91e7d9f9..00000000 --- a/tutorials/.ipynb_checkpoints/API_6_training_hyperparameter-checkpoint.ipynb +++ /dev/null @@ -1,340 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "134e7f9d", - "metadata": {}, - "source": [ - "# Demo 6: Training Hyperparamters\n", - "\n", - "Regularization helps interpretability by making KANs sparser. This may require some hyperparamter tuning. Let's see how hyperparameters can affect training" - ] - }, - { - "cell_type": "markdown", - "id": "6459e11a", - "metadata": {}, - "source": [ - "Load KAN and create_dataset" - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "id": "c3faa4ed", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "(torch.Size([1000, 2]), torch.Size([1000, 1]))" - ] - }, - "execution_count": 1, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "from kan import *\n", - "import torch\n", - "\n", - "f = lambda x: torch.exp(torch.sin(torch.pi*x[:,[0]]) + x[:,[1]]**2)\n", - "dataset = create_dataset(f, n_var=2)\n", - "dataset['train_input'].shape, dataset['train_label'].shape" - ] - }, - { - "cell_type": "markdown", - "id": "2571d531", - "metadata": {}, - "source": [ - "Default setup" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "id": "97111d75", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 3.32e-02 | test loss: 3.27e-02 | reg: 4.09e+00 : 100%|██| 20/20 [00:14<00:00, 1.41it/s]\n" - ] - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "# train the model\n", - "model = KAN(width=[2,5,1], grid=5, k=3, seed=1)\n", - "model.fit(dataset, opt=\"LBFGS\", steps=20, lamb=0.01);\n", - "model.plot()" - ] - }, - { - "cell_type": "markdown", - "id": "07f400a8", - "metadata": {}, - "source": [ - "### Parameter 1: $\\lambda$, overall penalty strength. \n", - "\n", - "Previously $\\lambda=0.01$, now we try different $\\lambda$." - ] - }, - { - "cell_type": "markdown", - "id": "9916490a", - "metadata": {}, - "source": [ - "$\\lambda=0$" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "id": "77e8cafd", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 5.54e-03 | test loss: 6.12e-03 | reg: 1.56e+01 : 100%|██| 20/20 [00:14<00:00, 1.37it/s]\n" - ] - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "# train the model\n", - "model = KAN(width=[2,5,1], grid=5, k=3, seed=1)\n", - "model.fit(dataset, opt=\"LBFGS\", steps=20, lamb=0.00);\n", - "model.plot()" - ] - }, - { - "cell_type": "markdown", - "id": "d92f84a5", - "metadata": {}, - "source": [ - "$\\lambda=1$" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "id": "f1a96caf", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 1.36e+00 | test loss: 1.39e+00 | reg: 6.81e-01 : 100%|██| 20/20 [00:14<00:00, 1.42it/s]\n" - ] - }, - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "# train the model\n", - "model = KAN(width=[2,5,1], grid=5, k=3, seed=0)\n", - "model.fit(dataset, opt=\"LBFGS\", steps=20, lamb=1.0);\n", - "model.plot()" - ] - }, - { - "cell_type": "markdown", - "id": "650e7432", - "metadata": {}, - "source": [ - "### Parameter 2: (relative) penalty strength of entropy $\\lambda_{\\rm ent}$.\n", - "\n", - "The absolute magnitude is $\\lambda\\lambda_{\\rm ent}$. Previously we set $\\lambda=0.1$ and $\\lambda_{\\rm ent}=2.0$ (default). Below we fix $\\lambda=0.1$ and vary $\\lambda_{\\rm ent}$." - ] - }, - { - "cell_type": "markdown", - "id": "c0d92d91", - "metadata": {}, - "source": [ - "$\\lambda_{\\rm ent}=0.0$" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "id": "d57d3cee", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 1.45e-02 | test loss: 1.54e-02 | reg: 1.52e+00 : 100%|██| 20/20 [00:13<00:00, 1.50it/s]\n" - ] - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "# train the model\n", - "model = KAN(width=[2,5,1], grid=5, k=3, seed=1)\n", - "model.fit(dataset, opt=\"LBFGS\", steps=20, lamb=0.01, lamb_entropy=0.0);\n", - "model.plot()" - ] - }, - { - "cell_type": "markdown", - "id": "25d3f9f1", - "metadata": {}, - "source": [ - "$\\lambda_{\\rm ent}=10.$" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "id": "94450fdf", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 8.31e-02 | test loss: 8.47e-02 | reg: 1.28e+01 : 100%|██| 20/20 [00:15<00:00, 1.31it/s]\n" - ] - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "# train the model\n", - "model = KAN(width=[2,5,1], grid=5, k=3, seed=1)\n", - "model.fit(dataset, opt=\"LBFGS\", steps=20, lamb=0.01, lamb_entropy=10.0);\n", - "model.plot()" - ] - }, - { - "cell_type": "markdown", - "id": "c14919f1", - "metadata": {}, - "source": [ - "### Parameter 3: seed. \n", - "\n", - "Previously we use seed = 1. Below we vary seed." - ] - }, - { - "cell_type": "markdown", - "id": "c8debdf5", - "metadata": {}, - "source": [ - "${\\rm seed} = 42$" - ] - }, - { - "cell_type": "code", - "execution_count": 13, - "id": "8fe1c782", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 3.37e-02 | test loss: 3.31e-02 | reg: 3.30e+00 : 100%|██| 20/20 [00:13<00:00, 1.53it/s]\n" - ] - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model = KAN(width=[2,5,1], grid=3, k=3, seed=42)\n", - "model.fit(dataset, opt=\"LBFGS\", steps=20, lamb=0.01);\n", - "model.plot()" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "1692e33b", - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.7" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/tutorials/.ipynb_checkpoints/API_7_pruning-checkpoint.ipynb b/tutorials/.ipynb_checkpoints/API_7_pruning-checkpoint.ipynb deleted file mode 100644 index 282d48dd..00000000 --- a/tutorials/.ipynb_checkpoints/API_7_pruning-checkpoint.ipynb +++ /dev/null @@ -1,277 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "134e7f9d", - "metadata": {}, - "source": [ - "# Demo 7: Pruning\n", - "\n", - "We usually use pruning to make neural networks sparser hence more efficient and more interpretable. KANs provide two ways of pruning: automatic pruning, and manual pruning." - ] - }, - { - "cell_type": "markdown", - "id": "7fd6a742", - "metadata": {}, - "source": [ - "## Pruning nodes" - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "id": "2075ef56", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 3.57e-02 | test loss: 3.54e-02 | reg: 4.32e+00 : 100%|██| 20/20 [00:10<00:00, 1.83it/s]\n" - ] - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "from kan import *\n", - "# create a KAN: 2D inputs, 1D output, and 5 hidden neurons. cubic spline (k=3), 5 grid intervals (grid=5).\n", - "model = KAN(width=[2,5,1], grid=5, k=3, seed=1)\n", - "\n", - "# create dataset f(x,y) = exp(sin(pi*x)+y^2)\n", - "f = lambda x: torch.exp(torch.sin(torch.pi*x[:,[0]]) + x[:,[1]]**2)\n", - "dataset = create_dataset(f, n_var=2)\n", - "dataset['train_input'].shape, dataset['train_label'].shape\n", - "\n", - "# train the model\n", - "model.fit(dataset, opt=\"LBFGS\", steps=20, lamb=0.01);\n", - "model(dataset['train_input'])\n", - "model.plot()" - ] - }, - { - "cell_type": "code", - "execution_count": 13, - "id": "280cc49f", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "mode = 'auto'\n", - "\n", - "if mode == 'auto':\n", - " # automatic\n", - " model = model.prune_node(threshold=1e-2) # by default the threshold is 1e-2\n", - " model.plot()\n", - "elif mode == 'manual':\n", - " # manual\n", - " model = model.prune_node(active_neurons_id=[[0]])" - ] - }, - { - "cell_type": "markdown", - "id": "cf7001ab", - "metadata": {}, - "source": [ - "## Pruning Edges" - ] - }, - { - "cell_type": "code", - "execution_count": 17, - "id": "b58417be", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 6.02e-02 | test loss: 6.10e-02 | reg: 5.11e+00 : 100%|████| 6/6 [00:04<00:00, 1.36it/s]\n" - ] - }, - { - "data": { - "image/png": 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Fx3HIyMgQH/Q4YsQItGrVSu5yZRPsB46mULg4o23lqvqXPvM8H/RhE9DhwhjDyZMnncLk/Pnz0Gg06Nevn9gzyczMDOowEdCBonkULg2jbcdZ/UufeZ4HgGsufQ7ktgqocGGM4fjx407DXBcuXIBGo8GAAQOcwqRly5Zyl6sYdGBwHYVL02hbalhTYeMYOIHUZqoOF8YYSkpKnHomFy9ehFarxYABA8QT8JmZmWjRooXc5SoOHQjcR+HiGtq2mhYMYaPqcLFarYiNjYXJZMKgQYPEnsnw4cMRHR0td3mKJqx2NW+8cqBwcQ9tZ66x2+1OFwjwPI+oqChERETIXZrHFBkuubm5aN26tU/var9y5QoeffRRny3f3/y1GgPtIOFuu3kaLoHWbsR9dXV10Gq1Lm0LdrsdHMdBo9G49R48z0Ov13taoqQU+Uzqw4cPi4+h99Wj5u+///6AChfiHxQSxFM2mw0mkwmxsbE+e4/q6moKl6ZwHIeHH34YY8aMwW+//UY7tIvcbSdXv7ULy1VgJ1cS3mxfjbWJ4zIDtd2I++x2O4Dg+JLiXp/Lj958800YDAYsXrxY7lICUkMHPI7jgmKjl0pToUGBQhrCcRxMJpPcZfiFYsNFo9Fg48aNeOaZZ8QrKYg0GppT3TFU6v83HSibR8FMXBEREQGDwSB3GX6h2HABgP79+6Nt27aYM2eO3KUEjIaCxZPXBbvGLrWlUCZN0ev14tBYoFN0uHAch/Xr12P69Om0o0rA3WChb+LNozYi7gj085eOFB0uwNVH20dHR2PlypVyl6JqnvZY6OB5reYODNRmpDEULgrCcRy+/vprPProo0GxQnzB02AhTaN2JJ7QaDRBcVJf8eECANdffz0YY9i2bZvcpaiOFMFCJ6v/w5ObLglxFBkZGRQn9VURLhzHYfHixZg4cSLtrG6gHot8qK1JY8LDw4PiClhVhAtw9Y76uro66r24iIJFevQwRiKlQP+irJpw4TgOH3/8Me64446AXylSowMhIcoh7I82m03mSnxLNeECAPfddx/CwsIwd+5cuUtRNPqG7VvUpsRber0eNTU1cpfhU6oKF47j8NNPP+HFF1/E5cuX5S6HBBHqLRMpRUZGUs9Fafr06YNHH30U119/fdDc6eop+oYtPXfalK6yI40JhvtdVBcuHMfhgw8+AM/zePzxxwN65XiC2kN61KZEasJcLUajUe5SfEZ14QIAWq0W+fn52LBhA2bMmBEUl/W5i74xE6Js0dHRqKurk7sMn1FluABAfHw8CgoKsGLFCjzxxBMB/Q2A+Jarj86nwCZSCg0NBWMsYHvGqg0XAEhKSsKOHTtQVFSEsWPH4tixYwG7olwRzJ/dW9R2xN84joNWq22096L24FF1uABAly5dsHXrVvTv3x9ZWVlYvHgxrFar3GWRAEC9FuJrLVu2hMFgcNrWGGMwmUyorq5GdXU1TCaTKkNG9eECXL2sb968eVi6dCn+7//+D3/961+xf//+oD0XQwdCz6hxBybqptVqodPpUF1dDZ7nYbVaUVVVhdraWuh0OrFnU1lZCZvNpqptNCDCBbh6QL311luxc+dOJCUl4S9/+QseeughfPPNNzh58iRqampgt9tVtXKI/wnbB/VaiD9wHIeYmBjY7XZUVFSgqqoKWq0WsbGxiIiIQGRkJFq1agWdToeKigoYjUbwPC8OmTn+KI1O7gKkFh8fj3nz5uHRRx/Fp59+ijfeeAPV1dWIjo5GUlISsrKyMHr0aLnLJArCcdw1wxKE+ItGoxEDRqPRQKPRXDO7aVRUFEJDQ1FXVwej0QiNRuP0e51Oh/DwcDnKb5Riw8XbHTw1NRXvvvsuamtrceHCBZw6dQpFRUVYu3Yt5syZg/79+0tUqfLQwdE9zbUXtSeRSmPbkhAQTf1daGgoQkNDYbVaxd6L8MXIYrGgqqrKaRlyU04lDlq3bo1vv/1W8uX26tULSUlJOHv2LF26TAjxK41GA4vFIsmyHJ/+wHEcwsLCFBUsAMAxBX4t88czd4TLAAOFv1ZjoJ1/oHYj/hJs25oiw8UddOKVEBJoGGOw2+3QarWqPa6p/mqx/fv3Q6vVYv/+/XKXoioq/04hG2o391Gbuc9ut6O8vFzVD+dVfbgQQghRHgoXQgghkqNwIYQQIjkKF0IIIZKjcCGEECI5ChdCCCGSo3AhhBAiOQoXQgghkqNwIYQQIjkKF0IIIZKjcCGEECI5ChdCCCGSo3AhhBAiOQoXQgghkqNwIYQQIjkKF0IIIZKjcCGEECI5ChdCCCGSo3AhhBAiOQoXQgghkqNwIYQQIjkKF0IIIZKjcCGEECI5ChdCCCGSo3AhhBAiOQoXQgghkqNwIYQQIjkKF0IIIZKjcCGEECI5ndwFeIMxhoqKCgBARUUFGGPgOE7mqpSNMYYrV66gpqYG0dHRiIuLozZzAbWb+6jNPMMYQ1lZGc6dOwee59G2bVtVtpsqey6VlZWYN28ekpOTMWbMGDDGMGbMGCQnJ2PevHmorKyUu0TFcWyz+Ph4JCQkID4+ntqsGdRu7qM284xju7Vv3x6DBg1C+/bt1dtuTGU2bdrEIiMjGcdxjOM4BkD8Ef4tMjKSbdq0Se5SFYPazDPUbu6jNvNMILabqsJl06ZNTKvVMo1G49T49X80Gg3TarWqWhG+Qm3mGWo391GbeSZQ241jjDGpe0O+UFlZiU6dOsFoNILn+Wb/XqPRQK/X49y5c4iJifF9gQpEbeYZajf3UZt5JpDbTTXnXJYvXw6DweDSCgAAnudhMBjw2Wef+bgy5aI28wy1m/uozTwTyO2mip4LYwzJyckoLS2FO+VyHIeEhAScOHFClVdbeIPazDPUbu6jNvNMoLebKsKlrKwM8fHxXr0+Li5OwoqUj9rMM9Ru7qM280ygt5sqhsVqa2u9en1NTY1ElagHtZlnqN3cR23mmUBvN1WES1RUlFevj46OlqgS9aA28wy1m/uozTwT6O2minCJi4tDYmKi2+OLHMchMTERsbGxPqpMuajNPEPt5j5qM88EerupIlw4jsPTTz/t0WufeeYZRZ/08hVqM89Qu7mP2swzgd5uqjihDwT29eC+Qm3mGWo391GbeSaQ200VPRcAiImJwerVq8FxHDSapsvWaDTgOA5r1qxR/ArwJWozz1C7uY/azDMB3W7+fiSAt1x9Bs/mzZvlLlUxqM08Q+3mPmozzwRiu6kuXBhjrKKigs2bN48lJiY6rYTExEQ2b948VllZKXeJikNt5hlqN/dRm3km0NpNleEi4HmebdmyhQFgW7ZsYTzPy12S4lGbeYbazX3UZp4JlHZTzTmXhnAcJ449xsTEKP7qCSWgNvMMtZv7qM08EyjtpupwIYQQokwULoQQQiRH4UIIIURyFC6EEEIkR+FCCCFEchQuhBBCJEfhQgghRHIULoQQQiRH4UIIIURyFC6EEEIkR+FCCCFEchQuhBBCJEfhQgghRHIULoQQQiRH4UIIIURyFC6EEEIkp9pwqa2txfHjx3Hw4EEAwMWLF2GxWGSuSvlqa2tx5swZAMDRo0dx9uxZardmWK1WnD9/HkePHgUAnDp1CuXl5eB5XubKlI22NfcF0nGNY4wxuYtwR2lpKZYuXYrvvvsOZ8+ehdVqhdlsRosWLdCvXz88/PDDmDBhAqKjo+UuVVEc2+3MmTMwGo0IDQ1FZGQkUlNTqd0aUFlZidWrV+OLL77A4cOHUVNTA4vFgvDwcMTHx2PEiBGYMmUKhg8fDp1OJ3e5ikHbmvsC8bimmnCx2+348ssvMWPGDBiNRtx8880YO3YsunTpAp7ncfLkSWzcuBE///wz+vfvj/fffx99+vSRu2zZUbt5ZufOnXjuuedQXFyMQYMGYfz48UhLS0NUVBQqKyuxb98+rFu3DidPnsQ999yDN954A/Hx8XKXLSva1twX0G3GVMBut7MPP/yQRUZGsptvvpkVFRUxm83GCgsL2bx589i8efPY0aNHmcViYfn5+WzgwIGsZ8+e7ODBg3KXLitqN89s3ryZtW/fniUnJ7NVq1Yxg8HAKisr2cKFC9m8efPYJ598woxGI6uurmaLFy9mHTp0YGPHjmUXL16Uu3TZ0LbmvkBvM1WEy88//8xiYmLYnXfeycrLyxnP84wxxmbOnMkAMADs888/Z4wxxvM8O3PmDBs2bBjLzMxkFRUVMlYuL2o395WUlLDu3buzlJQUdujQIbHNTp06xVq2bMkAsO7du7Py8nLG2NV227ZtG+vUqRN74IEHmMlkkrN82dC25r5AbzPFn9A3Go3IyclB27ZtMWfOHMTExIDjuEb/nuM4dO7cGe+//z6OHz+OFStW+LFa5aB2c5/dbsdbb72FiooKfPDBB+jTp0+TbQZcbbfMzEy8/fbbWLt2LTZt2uSnapWDtjX3BUObKT5c9u3bh127dmHatGno2LFjszs7cHVFZGRk4O6778ann34Kg8Hgh0qVhdrNfSdPnsS6deswYcIEZGZmutRmwNV2u/322zF06FAsWbIENpvNx5UqC21r7guGNlP8JS55eXkICwvDmDFjcPToUacd99KlS+L///3331FcXCz+d0xMDG6//XasWLECp0+fVs9JMIlQu7mvsLAQtbW1mDhxIk6fPo26ujrxd+fOnYPdbgcAWCwWHD58GC1atBB/36FDB0yYMAGvvfYaLl68iE6dOvm9frnQtua+oGgzucflmvPAAw+wHj16sOPHj7MuXbqw8PBw8Uen04ljkyEhIU6/e+SRR9hvv/3GWrduzTZu3Cj3x/A7ajf3vfjiiywmJoYdPXqU3XDDDU7tEhYWJrYZx3FOv9Pr9eyjjz5iBQUFLDo6mu3evVvuj+JXtK25LxjaTNE9F8YYTCYTwsLCoNVqYTKZYDKZGvxbq9UKq9Uq/rfFYkFoaKj4umBC7eYZo9EInU6HsLAwmM3mRj+/0L6ObDYb9Ho9GGMwm83+KFcRaFtzX7C0maLDheM4tG7dGnv27IHdbsfo0aNRWVkp/v7EiRMoLS0FAKSmpqJDhw7i79LS0lBZWYna2lp8+OGHKCkpQXp6OtLS0tC+fXuXx9PVSIp2M5vNiI2N9XfpsmrTpg2MRiMqKysxZMgQREZGir8zGo0oLCwUQ2TYsGHijZMcx6FLly64fPkyNBoNWrVqJddH8Dva1lzDGIPNZhN/oqKiUFVVFdhtJmOvySVLlixher2ebdu2jdlsNqefGTNmiN3H5cuXO/3ObrezTz/9lMXExLBp06axm266iaWkpLCUlBQ2evRo9l//9V9s2bJlbN++fQF5+ai37dauXTt29uxZxvO8eIlkoNuwYQMLDQ1lCxcuvKbNjh8/Ll6K3K1bN1ZWVnZNu7300kusR48eqrhMVEpSbGvnzp2T+2NIymazMZPJxGpra1lFRQX7888/2Z9//snKyspYZWUl++CDDwK+zRTdcwGA66+/HtHR0Vi+fDmuu+46p8dsaDQap/+v1WrF/zYYDPjss88wZswYzJ8/H1qtFuXl5SgqKkJxcTGKiorw0UcfwWQyQavVomfPnkhPT0dGRgbS0tJcvoJDqbxtt8zMTLRv3178d+bwIAc1t0tDhM82aNAgJCQkYPny5bjvvvucTtg7thHHcU7txhjDhQsXsGrVKtx2221o2bKlfz+AzKTY1tq1a+fXmqXEHHolVqsVNptNfO6cVquFTqdDeHg4dDqd2DY333wzcnJyArrNFB8u3bp1w/3334+lS5fijjvuwC233NLswY3neXz66afYv38/vv32W3HlxMbGYvTo0Rg9ejSAq/c1nDhxQgybwsJCfPnll+Lfpqeni0NpKSkp0Ov1vv2wEpKy3RyxqzfeOv2bWsOmfmC2bt0aTz31FJ5//nnMnz8fL7/8skvPDDObzcjNzYXRaMTUqVNV2x6e8tW2plR2u90pSIQrvTiOuyZIHIPCUVC0mYy9Jpf98ccfbNCgQaxz587sp59+Yna7nTHG2OzZs5lOp2MhISFsxYoVjOd5ZrVa2eeff85at27NZsyYwWw2m1vvVVFRwfLz89n777/PpkyZwoYMGcJSUlJYWloau/POO1lubi5bu3YtO336tOKHi3zdbsKQmeOP0jVXb21tLbv77rtZVFQUe/fdd5nBYGA8z7NTp06xuLg4ptPpWFJSknhHdVVVFXvxxRdZy5Yt2bJly2T4RMrg6bY2ffp0ZrVaFbvt8DzPLBYLq6urY1VVVezKlSviEFd5eTmrqalhRqORWa1Wt5ftz+OaHFTz4MojR47gwQcfxOnTp5GdnY1HHnkEPM/jwoULAIDu3bujqqoKH330Eb788ks88MADePvttxEREeHV+/I8j1OnTqGoqEgcUhNOtsXExCAtLQ1paWnIyMhA3759ERUV5fVnlZI/262hTUkp3+KZG8N6f/75J5588kl8//33GDduHJ577jn07t0bJSUl4HkeoaGhSEpKwp49e/DOO+/gwIEDyMnJQXZ2tvK/TfqQN9uasH7k3l7sdrtTj6R+ryQkJET8Xylqleu45g+qCRfg6o1s/fr1Q2VlJWJiYtCnTx907twZdrsdp0+fRklJCeLi4vDSSy/hwQcfRFhYmE/qqK6uxsGDB53O39TW1oLjOCQlJTkNp3Xr1q3RrrG/nD9/Hrm5ufjqq6+g0+n80m5KCJr6Nbjz/nV1dViyZAnmz5+PS5cuISEhAcnJyYiOjkZFRQVKSkpw4cIFDBgwAK+++iqysrJkX89K4M225s4XACmwf58rEcLEarWKNWi1Wqcg8eWXBlfaLDY2Fi+++CIefvhhnx3XpKaqcPnuu+9w++234+OPP8bly5exZ88eXL58GSEhIejevTtGjx6NG2+8EW3atPFrXTzP4/Tp02LYHDhwAKdOnQJjDNHR0WLQpKenIzU1VZY5Gex2O44ePYr169fL0m7+ChtvAqUhFy9exJYtW5Cfn4/S0lKYTCa0atUKKSkpuPHGGzFkyBBVfIv0J2+3NV/1Yhx7JVarVXziAsdxTkGi0+n8/kWouTbLyspCmzZtVBMsgIrChTGGgQMHomXLlti6dav4b3a7HRzHKW44ora2FocOHXIaTquqqgIAJCYmimGTnp6OhIQEv37rlbvdfBE0UodKQ+x2Oxhj0Gg01Etxkafbmre9GMaYU5DYbDZxmcLJdn/0SjzRUJvxPA+z2SzeQKkGqgmXb7/9FhMnTsTWrVuRlZUldzluY4zh999/x4EDB8ShtBMnToDneURFRSElJcVpOC2YLmf1NGz8EShEXq72YhzPkSitVyIV4ckPaum9qCJceJ7HgAEDEBsbiy1btshdjmQMBgMOHTokhk1RUREqKioAAF27dhXvuUlPT0dSUpJqvrF4w5WgoVAJLvV7MTzPX3NfSf1eiRAkgbTPqK33oopwWbNmDe666y7k5eVhxIgRcpfjM4wxnDt3zilsjh07Bp7nodfrkZqa6jScFgyPGRE2z/oHGAqU4CEEicVicbpBUaPROAWJmnslrlJT70Xx4cLzPPr374/4+Hj8+OOPcpfjdyaTCUeOHHEaTisrKwMAdO7cWRxGy8jIQHJysks3/amJ4+bJGLvm4BHoB5NgI/RKHC8HbuhciePd7sFETb0XxYfL6tWrcffdd2Pbtm0YPny43OXIjjGGP/74w+lCAWE+iLCwsGvO3bRu3Vrukt3m6rCXEi53Jt6pHyTCuZLmeiVKuS9GDmrpvSg6XHieR79+/dCuXTts3rxZ7nIUy2w24+jRo06XQl++fBnA1UmsHMOmV69eCAkJkbnihnlzLoWCRvma65U4nnh35Wo8f98XoxRq6b0oOlz+9a9/4d5770VBQQGGDRsmdzmqcunSJbF3U1RUhCNHjsBqtSI0NBR9+vRxGk7z931Bjnx1cp7CRl7C5bSOlwM7niupf4OiN+smGHsxaui9KDZc7HY7MjIy0LFjR2zatEnuclTPYrHg2LFj4nmb4uJi8RETbdu2FXs36enp6N27N0JDQ31ajz+v+KKg8T2e56+5rwT4z2NTHK/i8sU9QsHWi1FD70Wx4fLVV19h0qRJ2LFjB4YOHSp3OQHp8uXL4mNsioqKcPjwYZjNZoSEhKB3795OTxZo166dKm509KQOIDgOSFIRHpvieDlw/UfMOw5z+bs2IDjWp9lsBmMM4eHhcpfSIEWGi91uR3p6Orp06YINGzbIXU7QsNlsKCkpEc/bFBcX49y5cwCA+Ph4p7Dp27evy11ypYRKQxrb/JVUo9yER8w31SsRgkQJTy4Ill6M0nsvigyXlStX4v7778fOnTsxePBgucsJaleuXHEaSjt48KA4wVqvXr3E8zb1J1hTcqA0Jdh7NY69ksYmvnK8gkvJgqEXY7FYwPO8InsvigsXu92OtLQ0dO/eHd9//73c5ZB6hAnWHJ8IfebMGQBXJ1gTejbCBGtqfqhjMPRqmpv4yjFIlNArcVeg92KU3HtRXLj885//xIMPPohdu3Zh0KBBcpdDXFBeXo6DBw+Kw2mHDh2CwWCARqNBz549nQKnS5cuqt3J1d6rqf+I+fq9EscgUXqvxF2B3ItRau9FUeFis9mQmpqKpKQkrFu3Tu5ySDMaG/pyZYI14cq0lJQUREZG+r12b6mhV+Nqr0Sqia+ULlB7MUrtvSgqXFasWIGHH34Yu3fvxsCBA+UuhzTA03Mp1dXVKC4udjp/09AEa+np6ejatavqhmDk7tUoZeIrNQjEXowSey+KCRebzYaUlBT07NkTa9eulbscUo/U3/p4nsdvv/3m9JBOYYK1Fi1aiNNHyznBmjd8HTZKnvhKDQKtF6PE3otiwuXzzz/H5MmTsXfvXvTv31/ucgj8f8VXYxOscRyHhIQEp0uh/T3Bmje8DRo1T3yldIEUMkrrvSgiXGw2G/r27Ys+ffrgm2++kbucoKeUHc5xgjUhbBwnWBOmIMjIyEBqaqpqJlhrLmyCYeIrpQmEoTKl9V4UES7Lly/H3/72N/zyyy/o16+f3OUEJbXcl1JXV4fDhw87XQotTLDWrVs3p4d0JicnK75309gNikBgT3ylREr5UuUNJfVeZA8Xq9WKPn36IDU1FWvWrJGzlKCk9h1KmGDN8YnQJSUl4HkeERER4hQEwnCa3BOs1Q+S+o+Yd/wR1oca14uaqbkXo6Tei+zh8sknn+DRRx/Fr7/+ivT0dDlLCRpq6aV4ymQyib0b4efKlSsArp1grUePHj7bCV19xHxjvRK5r0ALZmr+0qWU3ous4WK1WtG7d29kZGRg1apVcpURNNS8w3ijqQnWwsPD0bdvX0kmWGuuV+LtdLwUNv6nxl6MUnovsobLsmXL8Nhjj2H//v1IS0uTq4yAFui9FE+ZzWYcOXLE6VJoxwnWhOelpaeno2fPntdMsCb1xFfuoqDxHzV+KVNC70W2cLFYLOjduzcGDBiAr7/+Wo4SApoadwi5Xbx40SlshAnWwsLC0KtXL/GKxl69eiEuLg6A9BNfeYrCxvfU1ItRQu9FtnBZunQppk6digMHDiA1NVWOEgIO9VKkIUx8ZTAYcPjwYRw8eBCHDx/G4cOHxd5Nu3btkJ6ejoyMDL9NsOYqChrfUdOXNrl7L7KEi8ViQc+ePTF48GB89dVX/n77gKOmDV5p3J346vLly06PsWlogjXh3I0UE6xJgcJGemroxQi9FzkmbQNkCpclS5YgOzsbRUVF6Nu3r7/fPiBQL8UzUk98VX+CtaKiIpw/fx4A0KZNG6cnQrszwZqvUNBIRw1f6uTsvfg9XIRey9ChQ/Hll1/6861VjwLFPXJNfOU4wVpRUREOHTrkNMGa40M6O3bsKNn7eoLCxntK7sXI2Xvxe7h88cUXePjhh1FcXIw+ffr4861VTQ3fkpTGbDajpqZG9omv7HY7jh8/7vRE6DNnziAhIUFRD2mlLy+eU3LAyNV7kSRc3FmENytBiSvOG/7K9UBqN3fbzG63e3S1jFT3oTRGGJ7zZJjM17V5I5C2NSVTw/qUpJ+Uk5PT4N31VqsVFotFksmgLl26hKlTp3q9HKJuRqPR7bAQbmZ0FWPMo295CxYsQM+ePV36W5vNBovFgvDwcLd6UVeuXMHdd9/tdm0ksNhsNpe2G2++zDPGvBpKkyRcjh07hpkzZzr92969e/Hiiy+iqqoKEyZMwCuvvOJVCt57770ULgR2ux16vb7B3xkMBlitVuh0Oq++0NTW1noULqWlpS5to4WFhfjss89QWVmJLl26YMqUKS5fjv/CCy9QuBAwxpoMF+F8o3COUaPRiD/A1XMxPM9Do9E0+mXNYrHIHy4cxzkVeO7cOYwdOxY5OTno168fHnnkEdTV1eHtt9+W4u0Ckq+GExTw0GvJNdRWBoMBFosFUVFRqK2thdFoREREhN/raq5X9dNPP2H69Ol44YUX0KtXL+zYsQPTpk3DU089hfvuu8+nw0ruLru5czD1zwMG4ramZI2tT+EkvjADqfBvwlCs8FqNRuM0PCv1tif55QOMMYwcORLPPfccnn32WXAch8LCQnTp0gVPPvkkunbtKvVbBgTGGI1Xe4jneRiNRsTExECr1aJFixaorKyEXq9XVJteuXIFL7zwAhYtWoTBgweD4zikpaVhxIgRePzxx2Gz2fDggw8qqmaiLowx8eowx6dFNNXLMZvNsNls1zziyFuSXzKza9cuXLx4Ea+//rr4wdq3b49Zs2bhhhtukPrtVI8OJN6rqalBWFiY2GsQdiqLxSJzZf/BGMPkyZMxadIkMViAq+s/NTUVn3/+OebMmYNdu3b5tAYSuIRg0Wq11zyGiOO4Rn/CwsKcno0nFcnD5a9//SsWLlx4zUFz5syZOH36tDixEyFSEMaW659jEYbHlGL79u24ePEiXnjhhQa/UCQlJeG9997DU089BYPBIEOFzXM8+NQ/EFFwyY8xBsYYQkJC3PrSKvytcH5GKpKGi8lkQnl5OR588MFr30ijwYQJE3DfffdJ+ZYkyNXW1jb4CHuhi6+Egx5jDP/93/+NOXPmNDk8MWrUKGRmZmLatGk+q9uT5TZ1oKKet3IIJ+A9WSehoaGS9/QlDZeXX34Z/fr1a/TDLVu2DD/99JMidnglonZxD2MMFosF0dHR1/xO2AbdvQzZF9auXYvQ0FAMHz68yb/jOA7vvPOOOJumnJR8UyC5ltBr8fTqLuFLj5THIEnDZcGCBVi5cmWjv4+KioJOp8PBgwelfFvVox3YM0aj0enyyvrCw8NlHxpjjOG1117DokWLXFrPISEhmDlzJh577DH6skFcZrVaxXMonhBep8hwsdvtsNvtSEhIaPLvpk+fjnvvvVeqtyVBijEGo9GIFi1aNPo3ERERsvdc/vnPfyImJsatB7ROnDgRdXV1KCoq8mFlJFAwxmC3272e8kGj0cBqtUpUlYThsmrVKsTGxjabnNOnT8fx48c9emQM+Q+hGxyMzGYzqqurXZ7lUa524nkeb7/9Nj7++GO3T7Dm5OTgySefVNw6Vlo95D+8HQEJCQmR9KS+ZOHy3HPP4X//93+b/TthZrTjx4+7tFyz2Yzs7Gxvy1MNV3bepq7aCQZGoxEcxyE6Otqlk82ufhtjjEm6c61YsQKtW7dutjffkPHjx6OmpgaXLl2SrB5v0NCtclksFmg0Gq/XkdTrWLJwuXz5coNXiTXkySefxP333+/S37733nvYunWrN6WpgqsrtqEwCbaAadmyZbPBItDr9airq3NpuRaLBdXV1d6WB+DqOnnvvfewePFijx/SOmnSJDz55JOS1CMlOtmvHMIXIilmQZX6vItk4fLhhx+6fIfnm2++iQMHDrj0Id588018+umnXlZHAok7Jy71er1LvRHGGGprayV5yCoAFBcXQ6PReNRrETz//PM4fvy4ZL0pVw8eFB7BTXHh4s5DJYXHcly4cKHJv2OMwWQy4brrrvO2vIBT/wBLPZqmNdcWNTU1kk6o9Oyzz+LFF1/06gAdEhKC+Ph4mgqcNEqqITGBRqMRnz/m9bIkWYoHJk2a1Oww2vr1610e/ggkjR0Im5s1UPh9MJ/sr08I4abOuzDGYLVaJdvWGGMoKyuT5OnFc+bMwTvvvOP1cuqT+mZKIg+phsQEOp1Osiss/TvvpYP3338fsbGxTT6wccqUKXj//ff9XJl8XH2ybFM7OYXKtYTzLo3thML9MlIdPH/55Re352lpTFpaGiwWC8xms0cTizWFhr/UzRf7upQztMrWc4mOjoZGo0FpaWmDv+d5HleuXMGkSZP8XJkyNbUh0cGhaeHh4eB5vtGhw+bul3HXrFmzMG3aNEmWxXEckpOTJfuS1dC24s5ByvGBh/X/jfiXzWZTdNvLFi4cx+H555/HHXfc0eDvP/vsM7Ru3dqvc50ribvfSupvYEre6PytqRPZwhCAlNvZ+fPnXb4a0hXvvvsuVqxYIdnyqOcbGGw2m6RDYoC0V4zJeuTOycnBkSNHrhkPZ4zhqaeeCsoTmc0FQnP3dVCoNCwkJKTBR8HU1NQgIiJCsjYTwkrKnb5bt25OEz1JobkLQmgbUj4ph3J9QdZwCQkJQUZGBp599lmnfy8tLYXFYsHIkSPlKUxh6Nuk96KiomC1Wp3aUpjq1ZMpjRuza9cuyWfA5DgObdq0wddffy3pcom6hYaG+ixcpDipL/uY08aNG7Fo0SJxnhfGGMaOHes02ViwolCRjvBNXXisOGMM1dXVkk/v+t577/lkjvs33ngD8+fPl3y5zV3OTpTLV8dHrVYbGOESHx+PKVOmICsrC+fPn8ecOXNQU1ODl156Se7SZNPYDh/sYesN4XExtbW1sNvtMJvNsNvtkt00KThx4gQmT54s6TIBYOjQoXjrrbckXy4h9Wm1Wklu3JU9XADgo48+Qu/evTFq1CgsXLgQBQUFQXsin/iOTqdDeHg4qqurxSvEpA7s8PBwxMbGSrpM4Go4Xn/99ZIvV1h2U/9NgotUx15J7nMJDQ3Fhg0bvFrGgw8+iOuuuw5t2rRBaWnpNZcod+vWzavlKxU9Hdp93syYJzxJWbinqKFlebpzhYSEYNq0aSgoKPC4vuZ06NDB49e6uv3QdqYOvpxOIiQkxOvtgGMSbElGo9Gtv2/qxsnGaLVayS+7k5u/duJA+ibqbptZrVaXn3nnyJM2M5lMLv+tcOWXu4+b0Wq1Hn0e2tYCi7vrk+d5j740ebM+JQkXdwhX6HAcp/hL6Yh6mc1mGI1G2O12tGrVSnHDrJcuXUJ1dTVatGiB2NhYjwLDV+jOffcptc1sNpv4RUbKqyJdIcse980336Bfv37Q6XQYN24cduzYIUcZqkPDFc0zm82oqKhATU0NNBoNWrZsqbhgAa4+oaKgoAB33XUXBg8ejNdff73ZB7n6iy+mvA1kSgwWm80Gk8kEq9UKrVYr+aODXOH3nouA53msWbMGubm5OHToEG644QbMnj0bmZmZcpSjCp4MJwYLs9kMg8EgTvcaEREh2ROOfclgMOCrr77CJ598gurqatx+++147LHH0LFjR7lLU+RBU2mU1EbCdMc2mw2MMeh0Ouh0Otlqky1cBDzP49tvv0Vubi6Ki4sxevRozJ49m26gbACFy7XUGir1GY1GfP3111i2bBmqqqpw22234fHHH0enTp1krUtJB0+lUUrbKC1UBLKHi4DneXz33XfIyclBUVERsrKy8OqrryIrK0vu0hSDwuU/TCaTeE5FzaFSn8lkEkOmoqICt956Kx5//HF06dJFtpqUchBVEiW0CWMMNpsNdrtdUaEiUEy4CHiex7p165Cbm4v9+/cjKysLs2fPRlZWlmIaTS4ULoEbKvWZTCb861//wrJly1BeXo5bb70Vjz32GLp27SpLPUo4mCqF3G2h9FARKC5cBIwxfP/998jJycGvv/6KESNG4NVXX8WoUaMU14j+EszhEiyhUp/ZbMaqVavw8ccf48qVKxg/fjymTp0qS8jIfVBVAjnbQAgVx8vYlRgqAsWGi4Axhg0bNuD111/Hvn37kJmZidmzZ+P6669XbKP6SjCGi2OohIWFQa/XB0Wo1Gc2m7FmzRosXboUZWVluPnmmzF16lR0797dr3UEc8DI9dnVFioCxYeLgDGGjRs3IicnB3v37sWwYcMwe/ZsjBkzRvGNLJVgCheTyQSDwQCe54M6VOoTQubjjz/G5cuXxZBJSEjwWw3BGDByfGa1hopANeEiYIxh8+bNyMnJwe7duzF06FC8+uqrGDt2rGoa3VOBHi6MMfHqLyFUIiIioNVq5S5NcSwWC7755hssXboUly5dwk033YSpU6ciMTHRL+8fTAHj78+q9lARqC5cBIwx/Pjjj3j99dexa9cuDBkyBLNnz8a4ceNUtxJcFajhQqHiOYvFgrVr12LJkiW4ePEixo0bh6lTpyIpKcnn7x0MAePPzxgooSJQbbgIGGP46aefkJOTg8LCQgwePBizZs3CzTffrNqV0phACxcKFelYrVYxZP744w+MHTsWTzzxBJKTk336voEcMP76bIEWKgLVh4uAMYatW7ciJycH27dvx8CBAzF79mzccsstql9JgkAJF8aYeKKeQkVaVqsV3333HRYvXowLFy6IIdOjRw+fvWcgBow/PlOghoogYMJFwBhDXl4eXn/9dRQUFGDAgAGYNWsW/vKXv6h+pak9XChU/Mdms2HdunVYtGgRzp8/jzFjxuCJJ55Az549ffJ+gRQwvv4sgR4qgoALFwFjDPn5+cjJyUF+fj769euHWbNm4bbbblPtSlRruFCoyMdms+H777/H4sWLcfbsWVx//fV44okn0Lt3b8nfKxACxpefwTFUOI6DVqsNyFARBGy4OBJCJi8vD+np6Zg9ezZuu+02RT4ttylqC5f6oRIeHg69Xk+hIgO73S6GzO+//47Ro0cjOztb8pBRc8D4qvb6oaLT6aDValXZRu4IinARbNu2DTk5Ofj555+RlpaGWbNm4fbbb1dNyKglXChUlMtut2PDhg1YtGgRzpw5g1GjRiE7Oxt9+vSR7D3UGDC+qDlYQ0UQVOEi2L59O3JycrBlyxakpqZi5syZmDBhguJDRunhQqGiHna7HRs3bsSiRYtw+vRpjBw5EtnZ2UhJSZFk+WoKGKlrbShUgvEG4KAMF0FhYSFycnLw448/om/fvpg1axYmTpyo2JBRarhQqKgXz/PYtGkTFi5ciN9++w2ZmZnIzs5GWlqa18tWQ8BIWSOFirOgDhfBzp07kZOTgx9++AF9+vTBzJkzceeddyru4Ki0cBFCxWAwgDGG8PBwREREKDacSeN4nsfmzZuxcOFClJaWShYySg4YqWqjUGkYhYuDXbt2ITc3F5s2bULv3r3xyiuv4O6771ZMyCglXBhjMBqNMBqNFCoBhud5/PDDD1i0aBFOnjyJYcOGITs7GxkZGR4vU4kBI0VNFCpNo3BpwJ49e5Cbm4sNGzagZ8+emDlzJu655x7ZQ0bucKFQCR48z+Onn37CggULcPLkSQwdOhTZ2dno37+/R8tTUsB4WwuFimsoXJqwd+9e5ObmYv369ejRowdeeeUV3HvvvbJtSHKFi2OoABDvU6FQCXw8z2PLli1YsGABTpw4gSFDhmDatGkehYwSAsabGhhjsFqtsNvtFCouoHBxwb59+5Cbm4t169YhOTkZM2bMwKRJk/y+Yfk7XOqHinCinkIl+PA8j61bt2LhwoUoKSnB4MGDkZ2djYEDB7q1HLkn2/LkvSlUPEPh4ob9+/cjNzcXa9euRWJiIl555RXcf//9ftvQ/BUuFCqkMTzPIy8vDwsWLMCxY8cwcOBATJs2DYMGDXJ5GXLNjeLue1KoeIfCxQMHDhxAbm4uvv32WyQkJGDGjBl44IEHEBIS4tP39XW4UKgQVwnP8FuwYAGOHj2KAQMGIDs7G4MHD3ZpG/X3o+zdeS8KFWlQuHihqKgIb7zxBtasWYPu3btj+vTpeOihh3wWMr4KFwoV4inhGX4LFizAkSNH0L9/f2RnZ2PIkCHNbqv+evKwq+9BoSItChcJHDx4EG+88QZWrVqFrl27YsaMGXjooYcQGhoq6ftIHS48z8NoNMJkMgGgUCGeY4yhoKAACxYswKFDh5CRkYFp06Zh6NChTW6zvn5QpCvLplDxDQoXCR06dEgMmc6dO2P69OmYPHmyZCEjVbhQqBBfYYxhx44d+Oijj3Dw4EGkp6cjOzsbw4YNa3Tb9dVzvZpbJoWKb1G4+MDhw4fx5ptv4uuvv0anTp3w8ssv45FHHkFYWJhXy/U2XChUiL8IIbNgwQIUFxcjLS0N2dnZGD58eIPbsNSPYWlqWTzPw2azUaj4GIWLDx09ehRvvvkmVq5ciY4dO+Lll1/G3/72N49DxtNwqR8qer0eer1eETe0kcDGGMPOnTuxYMECHDhwAKmpqcjOzkZmZuY1259Ud803tgwKFf+icPGDY8eOiSHTvn17vPTSS5gyZQrCw8Ndej1jDFeuXEFNTQ2io6MRFxfn0g5IoUKUgjGG3bt346OPPsL+/fvRt29fZGdnY+TIkU7bY1PhIOwHtbW1iIqKumY/aOy1FCoyYcRvjh07xh566CGm0+lYp06d2Pz585nBYGj07ysqKtjcuXNZYmIiAyD+JCYmsrlz57KKiooGX2e321ltbS0rKytjZWVlrK6ujvE876NPRYjreJ5nu3btYg899BBLSUlhd999N9u6davT9snzvNN/u7If1H8NY1f3A7PZzAwGAzMajcxms/ntcxLGKFxkUFJSwh5++GEWEhLCOnbsyObNm3dNyGzatIlFRkYyjuMYx3FOO5Xwb5GRkWzTpk3iayhUiFrwPM92797NJk+ezFJSUthdd93lFDJCWLiyH0RERLCNGzeKy6ZQUQYaFpPRyZMn8dZbb2HFihWIj4/H//zP/+Dxxx9HQUEBxo8fD8YYeJ5v9PUajQYcx2HdunUYOXIkDX8RVdq7dy8WLFiAvXv3olevXnjiiScwevRo/PDDDxg/fjwANLkfcBwHjUaDdevW4YYbbhCHv0JCQmR/2Gwwo3BRgFOnTuHvf/87PvvsM8TFxaG8vBxWqxWurBqO46DX63Hw4EG0a9eOQoWo1r59+7BgwQLs3r0b3bt3x48//ih+YWqOsB+cOnUK8fHxFCoKQNegKkBiYiKWLl2KY8eOoVu3brBYLC4FC3D1JKbBYMC6desQERFBwUJUa8CAAVi6dCmWL1+OP//80+VgAf6zH3z99dcULApBPRcFYYwhOTkZp06dcut1HMchISEBJ06coHAhqkf7QWCgcFGQsrIyxMfHe/X6uLg4CSsixP9oPwgMNCymILW1tV69vqamRqJKCJEP7QeBgcJFQaKiorx6fXR0tESVECIf2g8CA4WLgsTFxSExMdHt8WKO45CYmIjY2FgfVUaI/9B+EBgoXBSE4zg8/fTTHr32mWeeoZOYJCDQfhAY6IS+wlRWVqJTp04wGo1N3jgm0Gg00Ov1OHfuHGJiYnxfICF+QPuB+lHPRWFiYmKwevVq8a7jpgh36K9Zs4Z2KBJQaD9QPwoXBRo3bhzWr18v3m1fv5sv/Jter8eGDRtw4403ylQpIb5D+4G6Ubgo1Lhx43Du3DnMnTsXCQkJTr9LSEjA3Llzcf78edqhSECj/UC96JyLCjDGUF5eLs7nEhsbSyctSdCh/UBdKFwIIYRIjobFCCGESI7ChRBCiOQoXAghhEiOwoUQQojkKFwIIYRIjsKFEEKI5ChcCCGESI7ChRBCiOQoXAghhEiOwoUQQojkKFwIIYRIjsKFEEKI5ChcCCGESI7ChRBCiOT+H0+RJkM5BastAAAAAElFTkSuQmCC\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "from kan import *\n", - "# create a KAN: 2D inputs, 1D output, and 5 hidden neurons. cubic spline (k=3), 5 grid intervals (grid=5).\n", - "model = KAN(width=[2,5,1], grid=5, k=3, seed=1)\n", - "\n", - "# create dataset f(x,y) = exp(sin(pi*x)+y^2)\n", - "f = lambda x: torch.exp(torch.sin(torch.pi*x[:,[0]]) + x[:,[1]]**2)\n", - "dataset = create_dataset(f, n_var=2)\n", - "dataset['train_input'].shape, dataset['train_label'].shape\n", - "\n", - "# train the model\n", - "model.fit(dataset, opt=\"LBFGS\", steps=6, lamb=0.01);\n", - "model(dataset['train_input'])\n", - "model.plot()" - ] - }, - { - "cell_type": "code", - "execution_count": 18, - "id": "4d57cbfe", - "metadata": {}, - "outputs": [], - "source": [ - "model.prune_edge()" - ] - }, - { - "cell_type": "code", - "execution_count": 19, - "id": "e3a23aed", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.plot()" - ] - }, - { - "cell_type": "markdown", - "id": "1db74fbd", - "metadata": {}, - "source": [ - "## Prune nodes and edges together" - ] - }, - { - "cell_type": "markdown", - "id": "4e7e2c8a", - "metadata": {}, - "source": [ - "just use model.prune()" - ] - }, - { - "cell_type": "code", - "execution_count": 20, - "id": "1ea08f0e", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 3.57e-02 | test loss: 3.54e-02 | reg: 4.32e+00 : 100%|██| 20/20 [00:11<00:00, 1.71it/s]\n" - ] - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "from kan import *\n", - "# create a KAN: 2D inputs, 1D output, and 5 hidden neurons. cubic spline (k=3), 5 grid intervals (grid=5).\n", - "model = KAN(width=[2,5,1], grid=5, k=3, seed=1)\n", - "\n", - "# create dataset f(x,y) = exp(sin(pi*x)+y^2)\n", - "f = lambda x: torch.exp(torch.sin(torch.pi*x[:,[0]]) + x[:,[1]]**2)\n", - "dataset = create_dataset(f, n_var=2)\n", - "dataset['train_input'].shape, dataset['train_label'].shape\n", - "\n", - "# train the model\n", - "model.fit(dataset, opt=\"LBFGS\", steps=20, lamb=0.01);\n", - "model(dataset['train_input'])\n", - "model.plot()" - ] - }, - { - "cell_type": "code", - "execution_count": 21, - "id": "4fc161de", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model = model.prune()\n", - "model.plot()" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "5a8dd8a8", - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.7" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/tutorials/.ipynb_checkpoints/API_9_video-checkpoint.ipynb b/tutorials/.ipynb_checkpoints/API_9_video-checkpoint.ipynb deleted file mode 100644 index 732d522d..00000000 --- a/tutorials/.ipynb_checkpoints/API_9_video-checkpoint.ipynb +++ /dev/null @@ -1,130 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "134e7f9d", - "metadata": {}, - "source": [ - "# Demo 9: Videos\n", - "\n", - "We have shown one can visualize KAN with the plot() method. If one wants to save the training dynamics of KAN plots, one only needs to pass argument save_video = True to train() method (and set some video related parameters)" - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "id": "2075ef56", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 1.45e-02 | test loss: 1.48e-02 | reg: 3.83e+00 : 100%|██| 50/50 [01:44<00:00, 2.09s/it]\n" - ] - } - ], - "source": [ - "from kan import *\n", - "import torch\n", - "\n", - "# create a KAN: 2D inputs, 1D output, and 5 hidden neurons. cubic spline (k=3), 5 grid intervals (grid=5).\n", - "model = KAN(width=[4,2,1,1], grid=3, k=3, seed=1)\n", - "f = lambda x: torch.exp((torch.sin(torch.pi*(x[:,[0]]**2+x[:,[1]]**2))+torch.sin(torch.pi*(x[:,[2]]**2+x[:,[3]]**2)))/2)\n", - "dataset = create_dataset(f, n_var=4, train_num=3000)\n", - "\n", - "image_folder = 'video_img'\n", - "\n", - "# train the model\n", - "#model.train(dataset, opt=\"LBFGS\", steps=20, lamb=1e-3, lamb_entropy=2.);\n", - "model.fit(dataset, opt=\"LBFGS\", steps=50, lamb=0.002, lamb_entropy=2., save_fig=True, beta=10, \n", - " in_vars=[r'$x_1$', r'$x_2$', r'$x_3$', r'$x_4$'],\n", - " out_vars=[r'${\\rm exp}({\\rm sin}(x_1^2+x_2^2)+{\\rm sin}(x_3^2+x_4^2))$'],\n", - " img_folder=image_folder);\n" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "id": "c18245a3", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Moviepy - Building video video.mp4.\n", - "Moviepy - Writing video video.mp4\n", - "\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - " \r" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Moviepy - Done !\n", - "Moviepy - video ready video.mp4\n" - ] - } - ], - "source": [ - "import os\n", - "import numpy as np\n", - "import moviepy.video.io.ImageSequenceClip # moviepy == 1.0.3\n", - "\n", - "video_name='video'\n", - "fps=5\n", - "\n", - "fps = fps\n", - "files = os.listdir(image_folder)\n", - "train_index = []\n", - "for file in files:\n", - " if file[0].isdigit() and file.endswith('.jpg'):\n", - " train_index.append(int(file[:-4]))\n", - "\n", - "train_index = np.sort(train_index)\n", - "\n", - "image_files = [image_folder+'/'+str(train_index[index])+'.jpg' for index in train_index]\n", - "\n", - "clip = moviepy.video.io.ImageSequenceClip.ImageSequenceClip(image_files, fps=fps)\n", - "clip.write_videofile(video_name+'.mp4')" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "88d0d737", - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.7" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/tutorials/.ipynb_checkpoints/API_create_dataset-checkpoint.ipynb b/tutorials/.ipynb_checkpoints/API_create_dataset-checkpoint.ipynb deleted file mode 100644 index 6c4206ed..00000000 --- a/tutorials/.ipynb_checkpoints/API_create_dataset-checkpoint.ipynb +++ /dev/null @@ -1,136 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "53ff2e87", - "metadata": {}, - "source": [ - "# API: Create dataset" - ] - }, - { - "cell_type": "markdown", - "id": "25a90774", - "metadata": {}, - "source": [ - "how to use create_dataset in kan.utils" - ] - }, - { - "cell_type": "markdown", - "id": "2f9ae0c7", - "metadata": {}, - "source": [ - "Standard way" - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "id": "3e2b9f8b", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "torch.Size([1000, 1])" - ] - }, - "execution_count": 1, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "from kan.utils import create_dataset\n", - "\n", - "f = lambda x: x[:,[0]] * x[:,[1]]\n", - "dataset = create_dataset(f, n_var=2)\n", - "dataset['train_label'].shape" - ] - }, - { - "cell_type": "markdown", - "id": "877956c9", - "metadata": {}, - "source": [ - "Lazier way. We sometimes forget to add the bracket, i.e., write x[:,[0]] as x[:,0], and this used to lead to an error in training (loss not going down). Now the create_dataset can automatically detect this simplification and produce the correct behavior." - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "id": "b14dd4a2", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "torch.Size([1000, 1])" - ] - }, - "execution_count": 2, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "f = lambda x: x[:,0] * x[:,1]\n", - "dataset = create_dataset(f, n_var=2)\n", - "dataset['train_label'].shape" - ] - }, - { - "cell_type": "markdown", - "id": "60230da4", - "metadata": {}, - "source": [ - "Laziest way. If you even want to get rid of the colon symbol, i.e., you want to write x[;,0] as x[0], you can do that but need to pass in f_mode = 'row'." - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "id": "e764f415", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "torch.Size([1000, 1])" - ] - }, - "execution_count": 3, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "f = lambda x: x[0] * x[1]\n", - "dataset = create_dataset(f, n_var=2, f_mode='row')\n", - "dataset['train_label'].shape" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.7" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/tutorials/.ipynb_checkpoints/Example_10_relativity-addition-checkpoint.ipynb b/tutorials/.ipynb_checkpoints/Example_10_relativity-addition-checkpoint.ipynb deleted file mode 100644 index d29f1bbf..00000000 --- a/tutorials/.ipynb_checkpoints/Example_10_relativity-addition-checkpoint.ipynb +++ /dev/null @@ -1,376 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "5d904dee", - "metadata": {}, - "source": [ - "# Example 10: Relativitistic Velocity Addition" - ] - }, - { - "cell_type": "markdown", - "id": "6465ec94", - "metadata": {}, - "source": [ - "In this example, we will symbolically regress $f(u,v)=\\frac{u+v}{1+uv}$. In relavitity, we know the rapidity trick $f(u,v)={\\rm tanh}({\\rm arctanh}\\ u+{\\rm arctanh}\\ v)$. Can we rediscover rapidity trick with KAN?" - ] - }, - { - "cell_type": "markdown", - "id": "94056ef6", - "metadata": {}, - "source": [ - "Intialize model and create dataset" - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "id": "0a59179d", - "metadata": {}, - "outputs": [], - "source": [ - "from kan import *\n", - "\n", - "# initialize KAN with G=3\n", - "model = KAN(width=[2,1,1], grid=10, k=3)\n", - "\n", - "# create dataset\n", - "f = lambda x: (x[:,[0]]+x[:,[1]])/(1+x[:,[0]]*x[:,[1]])\n", - "dataset = create_dataset(f, n_var=2, ranges=[-0.9,0.9])" - ] - }, - { - "cell_type": "markdown", - "id": "cb1f817e", - "metadata": {}, - "source": [ - "Train KAN and plot" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "id": "a87b97b0", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 6.27e-04 | test loss: 5.79e-04 | reg: 5.51e+00 : 100%|██| 20/20 [00:04<00:00, 4.76it/s]\n" - ] - } - ], - "source": [ - "model.fit(dataset, opt=\"LBFGS\", steps=20);" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "id": "3f1cfc9d", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.plot(beta=10)" - ] - }, - { - "cell_type": "markdown", - "id": "5ca6421a", - "metadata": {}, - "source": [ - "Retrain the model, the loss remains similar, meaning that the locking does not degrade model behavior, justifying our hypothesis that these two activation functions are the same. Let's now determine what this function is using $\\texttt{suggest_symbolic}$" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "id": "2ccb7048", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - " function fitting r2 r2 loss complexity complexity loss total loss\n", - "0 arctanh 0.999999 -16.470396 4 4 -16.470396\n", - "1 tan 0.999842 -12.540685 3 3 -12.540685\n", - "2 arcsin 0.998866 -9.771875 4 4 -9.771875\n", - "3 arccos 0.998866 -9.771725 4 4 -9.771725\n", - "4 x^0.5 0.982258 -5.815842 2 2 -5.815842\n" - ] - }, - { - "data": { - "text/plain": [ - "('arctanh',\n", - " ((x)>,\n", - " (x)>,\n", - " 4,\n", - " (x, y_th)>),\n", - " 0.9999989867210388,\n", - " 4)" - ] - }, - "execution_count": 4, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "model.suggest_symbolic(0,1,0,weight_simple=0.0)" - ] - }, - { - "cell_type": "markdown", - "id": "0092be41", - "metadata": {}, - "source": [ - "We can see that ${\\rm arctanh}$ is at the top of the suggestion list! So we can set both to arctanh, retrain the model, and plot it." - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "id": "1bb96fe1", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "r2 is 0.9999993443489075\n", - "r2 is 0.9999989867210388\n" - ] - }, - { - "data": { - "text/plain": [ - "tensor(1.0000)" - ] - }, - "execution_count": 5, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "model.fix_symbolic(0,0,0,'arctanh')\n", - "model.fix_symbolic(0,1,0,'arctanh')" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "id": "83b852a3", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 3.91e-04 | test loss: 4.70e-04 | reg: 5.54e+00 : 100%|██| 20/20 [00:02<00:00, 7.30it/s]\n" - ] - } - ], - "source": [ - "model.fit(dataset, opt=\"LBFGS\", steps=20, update_grid=False);" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "id": "9ccd0923", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.plot(beta=10)" - ] - }, - { - "cell_type": "markdown", - "id": "4b98a727", - "metadata": {}, - "source": [ - "We will see that ${\\rm tanh}$ is at the top of the suggestion list! So we can set it to ${\\rm tanh}$, retrain the model to machine precision, plot it and finally get the symbolic formula." - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "id": "99ad38b9", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - " function fitting r2 r2 loss complexity complexity loss total loss\n", - "0 tanh 0.999974 -14.743149 3 3 -0.548630\n", - "1 x 0.945782 -4.204828 1 1 -0.040966\n", - "2 0 0.000000 0.000014 0 0 0.000003\n", - "3 cos 0.995867 -7.915010 2 2 0.016998\n", - "4 sin 0.995867 -7.915010 2 2 0.016998\n" - ] - }, - { - "data": { - "text/plain": [ - "('tanh',\n", - " ((x)>,\n", - " (x)>,\n", - " 3,\n", - " (x, y_th)>),\n", - " 0.9999735355377197,\n", - " 3)" - ] - }, - "execution_count": 8, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "model.suggest_symbolic(1,0,0)" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "id": "af24c80d", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "r2 is 0.9999735355377197\n" - ] - }, - { - "data": { - "text/plain": [ - "tensor(1.0000)" - ] - }, - "execution_count": 9, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "model.fix_symbolic(1,0,0,'tanh')" - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "id": "01936f17", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 6.55e-08 | test loss: 6.85e-08 | reg: 5.57e+00 : 100%|██| 20/20 [00:01<00:00, 17.11it/s]\n" - ] - } - ], - "source": [ - "model.fit(dataset, opt=\"LBFGS\", steps=20);" - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "id": "76bcc188", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.plot()" - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "id": "b62b0246", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle \\tanh{\\left(\\operatorname{atanh}{\\left(x_{1} \\right)} + \\operatorname{atanh}{\\left(x_{2} \\right)} \\right)}$" - ], - "text/plain": [ - "tanh(atanh(x_1) + atanh(x_2))" - ] - }, - "execution_count": 12, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "formula = model.symbolic_formula()[0][0]\n", - "nsimplify(ex_round(formula, 4))" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.7" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/tutorials/.ipynb_checkpoints/Example_11_encouraing_linear-checkpoint.ipynb b/tutorials/.ipynb_checkpoints/Example_11_encouraing_linear-checkpoint.ipynb deleted file mode 100644 index 973994b0..00000000 --- a/tutorials/.ipynb_checkpoints/Example_11_encouraing_linear-checkpoint.ipynb +++ /dev/null @@ -1,308 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "095b0666", - "metadata": {}, - "source": [ - "# Example 11: Encouraging linearity\n", - "\n", - "In cases where we don't know how deep we should set KANs to be, one strategy is to try from small models, grudually making models wider/deeper until we find the minimal model that performs the task quite well. Another strategy is to start from a big enough model and prune it down. This jupyter notebook demonstrates cases where we go for the second strategy. Besides sparsity along width, we also want activation functions to be linear ('shortcut' along depth)." - ] - }, - { - "cell_type": "markdown", - "id": "ef047a0f", - "metadata": {}, - "source": [ - "There are two relevant tricks: \n", - "\n", - "(1) set the base function 'base_fun' to be linear; \n", - "\n", - "(2) penalize spline coefficients. When spline coefficients are zero, the activation function is linear." - ] - }, - { - "cell_type": "markdown", - "id": "91301ca0", - "metadata": {}, - "source": [ - "### Case 1: 1D function \n", - "\n", - "$f(x)={\\rm sin}(\\pi x)$. Although we know a [1,1] KAN suffices, we suppose we don't know that and use a [1,1,1,1] KAN instead." - ] - }, - { - "cell_type": "markdown", - "id": "77f9e16d", - "metadata": {}, - "source": [ - "without trick" - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "id": "c881665b", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 7.51e-04 | test loss: 7.58e-04 | reg: 8.53e+00 : 100%|██| 20/20 [00:05<00:00, 3.81it/s]\n" - ] - } - ], - "source": [ - "from kan import *\n", - "\n", - "# create dataset f(x,y) = sin(pi*x). This task can be achieved by a [1,1] KAN\n", - "f = lambda x: torch.sin(torch.pi*x[:,[0]])\n", - "dataset = create_dataset(f, n_var=1)\n", - "\n", - "model = KAN(width=[1,1,1,1], grid=5, k=3, seed=0)\n", - "\n", - "model.fit(dataset, opt=\"LBFGS\", steps=20);" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "id": "201ceacf", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.plot()" - ] - }, - { - "cell_type": "markdown", - "id": "13c725a5", - "metadata": {}, - "source": [ - "with tricks" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "id": "a22ffff3", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 6.30e-03 | test loss: 5.94e-03 | reg: 1.49e+01 : 100%|██| 20/20 [00:05<00:00, 3.70it/s]\n" - ] - } - ], - "source": [ - "from kan import *\n", - "\n", - "# create dataset f(x,y) = sin(pi*x). This task can be achieved by a [1,1] KAN\n", - "f = lambda x: torch.sin(torch.pi*x[:,[0]])\n", - "dataset = create_dataset(f, n_var=1)\n", - "\n", - "# set base_fun to be linear\n", - "model = KAN(width=[1,1,1,1], grid=5, k=3, seed=0, base_fun=lambda x: x)\n", - "\n", - "# penality spline coefficients\n", - "model.fit(dataset, opt=\"LBFGS\", steps=20, lamb=1e-4, lamb_coef=10.0);" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "id": "c82c8db5", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.plot(beta=10)" - ] - }, - { - "cell_type": "markdown", - "id": "af370a4c", - "metadata": {}, - "source": [ - "### Case 2: 2D function \n", - "\n", - "$f(x,y)={\\rm exp}({\\rm sin}(\\pi x)+y^2)$. We know a [2,1,1] KAN represents it. Let's suppose we don't know about that and use a [2,3,3,3,1] KAN instead." - ] - }, - { - "cell_type": "markdown", - "id": "fdba8357", - "metadata": {}, - "source": [ - "without tricks" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "id": "5920bdaf", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 2.89e-02 | test loss: 5.20e-02 | reg: 6.29e+00 : 100%|██| 20/20 [00:15<00:00, 1.28it/s]\n" - ] - } - ], - "source": [ - "# create dataset f(x,y) = exp(sin(pi*x)+y^2)\n", - "f = lambda x: torch.exp(torch.sin(torch.pi*x[:,[0]]) + x[:,[1]]**2)\n", - "dataset = create_dataset(f, n_var=2)\n", - "\n", - "model = KAN(width=[2,3,3,3,1], grid=5, k=3, seed=0)\n", - "model.fit(dataset, opt=\"LBFGS\", steps=20, lamb=0.01);" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "id": "26af5d19", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model = model.prune(node_th=1e-1)\n", - "model.plot()" - ] - }, - { - "cell_type": "markdown", - "id": "ca1c5e86", - "metadata": {}, - "source": [ - "with tricks" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "id": "1f82e8c0", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 6.97e-02 | test loss: 7.00e-02 | reg: 1.72e+01 : 100%|██| 20/20 [00:07<00:00, 2.69it/s]\n" - ] - } - ], - "source": [ - "model.fit(dataset, opt=\"LBFGS\", steps=20, lamb=0.01, lamb_l1=0., lamb_entropy=0., lamb_coef=2.0);" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "id": "e09861b6", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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UZDEu5BIURUFOTg7uv/9+jBgxAsXFxdi+fbvWY12T3NxcrUcgajAhpZRaD0HUEFJK7NixA7t373aJ9RWDwYBJkyZxz4ucGuNCLsEVf4xdIZTUdPGwGLkE/kVM5Fh4thgREamOey5E9VT30Bv3lIguj3suRPWUnp4OvV6P9PR0rUchcniMCxERqY5xISIi1TEuRESkOsaFiIhUx7gQEZHqGBciIlId40JERKpjXIiISHWMCxERqY5xISIi1TEuRESkOsaFiIhUx7gQEZHqGBciIlId40JERKpjXIiISHWMC1E9SClRVFQEACgqKrrgqZRE9GeMC9FlmEwmLF26FGFhYYiOjoaUEtHR0QgLC8PSpUthMpm0HpHIIQnJj2BEl5SYmIixY8fCbDYDwAV7K0IIAICXlxfi4+MRGxuryYxEjopxIbqExMREjBw5ElJKKIryl1+n0+kghEBCQgIDQ1QH40J0EZPJhHbt2qGiouKyYaml0+lgNBqRlZUFf39/+w9I5AS45kJ0kXXr1sFsNtcrLACgKArMZjPWr19v58mInAf3XIjqkFIiLCwMmZmZV3VGmBACISEhOH78uG09hqgpY1yI6sjPz0dQUFCDvj8wMFDFiYicEw+LEdVRVlbWoO8vLS1VaRIi58a4ENXh7e3doO/38fFRaRIi58a4ENURGBiI0NDQq143EUIgNDQUzZs3t9NkRM6FcSGqQwiBGTNmXNP3xsXFcTGf6Dwu6BNdhNe5EDUc91yILuLv74/4+HgIIaDTXX4Tqb1Cf8OGDQwLUR2MC9ElxMbGIiEhAUajEUKIPx3uqv01o9GITZs2ISYmRqNJiRwT40L0F2JjY5GVlYUlS5YgJCTkgtdCQkKwZMkSZGdnMyxEl8A1F6J6kFJi69atiIqKQlJSEkaMGMHFe6LL4J4LUT0IIWxrKv7+/gwL0RUwLkREpDrGhYiIVMe4EBGR6hgXIiJSHeNCRESqY1yIiEh1jAsREamOcSEiItUxLkREpDrGhYiIVMe4EBGR6hgXIiJSHeNCRESqY1yIiEh1jAsREamOcSEiItUxLkREpDrGhegKFEVBYWEhTp06BQDIyclBeXm5xlMROTYhpZRaD0HkiCorK5GcnIz169cjNTUVeXl5KCsrg5+fHzp16oSYmBhMmjQJ4eHhfOwx0UUYF6JLyMzMxJw5c5CQkIA2bdpgxIgRiIyMhK+vLwoKCpCWloatW7eipqYGs2bNQlxcHLy8vLQem8hhMC5EFzl06BAmTJiA06dPY+bMmZgyZQp8fX2Rnp4Oi8UCT09PREREICcnB4sXL8batWvxj3/8A6+//joDQ3Qe40JUR0FBAW6//XYcPXoU77zzDkaNGgW9Xo/MzEwMGDAAJpMJnTp1QkpKCvz9/WGxWLBmzRrMmTMHs2fPxvz586HTcSmTyKD1AESOZMWKFUhLS8OyZcswevToC0JRU1MDi8UCi8UCABBCwM3NDQ8++CBOnz6NZcuWYdSoUejdu7dW4xM5DH7EIjovLy8Pa9euxaBBg3DvvffWew/EYDAgLi4OLVu2xOrVq8GDAUSMC5FNamoqTp8+jYkTJ8LT0xNWq/WCf2pJKf/0WosWLXDnnXdiy5YtMJlM2v0hiBwED4sRnZeeng53d3f07t0bc+fOxcGDB22vVVRU2K5tyc3Nxfjx42Ew/N/mM336dAwZMgTLly9HdnY2AgICGn1+IkfCuBCdl5eXB09PT/j5+SElJQU7duy45NdVVFQgKSnpgl8bOXIkBg8eDEVRuOdCBMaFyMbDwwOKosBisUCn0/1pzUVRFNu/X/yaEALV1dUAADc3N/sPS+TgGBei80JDQ1FeXo6srCy88sorKCoqsr2Wk5ODuLg4lJeXo1WrVli+fDm8vb1tr4eHh2Pbtm3w9PREq1attBifyKEwLkTnDRgwAO7u7vjuu++wcOHCC/ZOMjMzbWssXl5eiI6OvmBdxWKxYNOmTQgPD0dwcHCjz07kaHi2GNF53bp1w6BBg/DJJ5/gxIkT9T6lWEqJlJQU/PDDD5gwYQI8PDzsPCmR42NciM7z8PDA3LlzYTKZMHfuXJSUlFwxMFJK5OTkYM6cOQgLC8P48eMbaVoix8a4ENUxfPhwPPHEE9i8eTOmTZuG7OxsSCmh1+vRunVrBAcHo2XLltDpdJBS4tixY5g0aRJOnjyJxYsX8xRkovN4bzGii1RVVWHhwoVYtGgR2rdvj+nTpyMmJgYeHh7Q6/WwWq0oKyvDxo0bsWrVKri5uWHlypWIiorSenQih8G4EF2C1Wq1Lezv2bMHRqMRwcHBaNasGUpLS3HmzBno9XqMGTMGTz75JDp37qz1yEQOhXEhugyz2Yy0tDRs374du3btwrfffou77roL0dHRGD58ODp37gy9Xq/1mEQOh3Ehqqe9e/eiT58+2LNnD+98THQFXNAnugp8nDFR/TAuRESkOsaFiIhUx7gQEZHqGBciIlId40JERKpjXIiISHWMCxERqY5xISIi1TEuRESkOsaFiIhUx7gQEZHqGBciIlId40JERKpjXIiISHWMCxERqY4PCyOqJyklFEWBTqfjc12IrsCg9QBEDSWlRHFxMYqLixvl97J3WHQ6HYKDg2EwcPMk58WfXnIJq1evxv79+xEYGKj1KNessrISnp6eOHz4MFavXo327dtrPRLRNWNcyCVYLBbExcWhb9++Wo9yTbZv345XXnkFCxcuxJo1a6AoitYjETUI40IuxdnWQqSU+O233zBt2jQcPXoUUkp07NhR67GIGoxnixFpqLy8HLNnz8bRo0fRsmVLzJs3D56enlqPRdRgjAuRRhRFwapVq/Ddd9/Bw8MDL7/8MoYOHar1WESqYFyINCClxIEDB7Bo0SJYrVZMmDAB//jHP5zusB7RX2FciDRQWVmJZ599Fnl5eejcuTOeeeYZuLm5aT0WkWoYF6JGJqXEF198ge+++w5ubm545pln0L59e+61kEthXIgakZQS2dnZeOmll1BTU4Nbb70Vd955J8NCLodxIWpEVqsVixYtwvHjx9GiRQs888wzPDuMXBLjQtRIpJTYtm0b3nvvPQghMGPGDPTs2ZN7LeSSGBeiRlJYWIj58+ejrKwM/fr1w8MPPwydjpsguSb+ZBM1AqvViqVLlyI1NRXe3t544YUXEBAQoPVYRHbDuBDZmZQSP/30E9544w0AwOTJkzFixAgeDiOXxrgQ2ZGUEnl5eZg7dy6Ki4sRERGBuXPn8nb65PIYFyI7qqmpwQsvvIC9e/fC19cXr776KoKCgrQei8juGBciO6m9WLL27LDHHnsMw4YN4+EwahIYFyI7kFJi//79mDdvHiorKxEdHY2ZM2dCr9drPRpRo2BciFQmpURBQQEeffRRZGdno0OHDvjvf/8LHx8frUcjajSMC5HKqqurMX/+fOzYsQPNmjXDa6+9hvDwcB4OoyaFcSFSkdVqxcqVK/Hee+9Bp9Nh9uzZuO222xgWanIYFyKVSCmxadMmPPfcc6ipqcEdd9yB2bNn87RjapIYFyIVSCmxd+9ezJgxA8XFxejbty9ef/11NGvWTOvRiDTBuBA1kJQSJ0+exJQpU3D69Gl06NABK1euRJs2bXg4jJosxoWoAaSUyM/Px9SpU7Fv3z4EBATgzTffRK9evRgWatIYF6JrJKVEaWkpZsyYgeTkZHh5eeG1115DbGwsw0JNHuNCdI0qKiowd+5cxMfHw2Aw4KmnnsLEiRN5G30iMC5E16SqqgovvPAC3n33XduDv2bOnMkzw4jOY1yIrlJ1dTUWLVqEJUuWQEqJSZMm4bnnnoOHh4fWoxE5DMaF6CrU1NRg6dKlWLBgASwWC8aOHYvXXnsNXl5eWo9G5FAYF6J6slgsWLFiBZ577jlUVVVh1KhReOONN+Dr68sFfKKLMC5E9WC1WvHuu+/iqaeeQmVlJWJjY7Fy5UoEBgYyLESXwLgQXYHVasX69esxZ84cmM1m3HzzzXjnnXfQsmVLhoXoLzAuRJehKAo++eQTzJo1C2VlZbjxxhuxZs0aBAcHMyxEl8G4EP0FRVEQHx+PuLg4lJSUYMCAAXjvvffQrl07hoXoChgXoktQFAXffPMNHn74YZhMJvTp0wfr169Hhw4dGBaiemBciC4ipURiYiKmTp2KwsJC9OzZE+vXr0doaCjDQlRPjAtRHVJKbNmyBZMnT8a5c+cQHh6O999/H126dGFYiK4C40J0npQSycnJ+Oc//4mzZ88iLCwM77//Prp3786wEF0lxoUI/7fHcv/99+PMmTMIDQ3FBx98gIiICIaF6BowLtTkKYqCr7/+GpMmTbKF5f3330efPn0YFqJrxLhQk1ZTU4M1a9bgn//8J3Jzc9GlSxd89NFH6N+/P8NC1AC8Pzg1SVJKFBcX4+WXX8Ybb7yByspKREZGYu3atejRowfDQtRAjAs1KVJKKIqC3bt3Y/78+fjpp58gpURMTAzeeustdOzYkWEhUgHjQi5PSgkAMJvN2LdvH9auXYv4+HgUFxfDaDTioYcewtNPPw1/f3+GhUgljAu5JCklpJQoLCxERkYGkpKSkJycjF9//RUVFRUQQqBHjx549tlnMXr0aBgMBoaFSEWMC7kUKSWqqqqQkpKCDz/8EMnJycjKykJNTQ0AwM3NDTfccAMmTZqEe++9F0FBQYwKkR0wLuQyFEVBamoqFixYgC1btqCiogIA0KxZM3Tv3h3Dhg3D3/72N/Tv3x9+fn6MCpEdMS7kMn799VfMnz8fubm5MBgM6N27N+666y7ExMTg+uuvtz2KmFEhsj/GhVxGWFgYhgwZgiNHjmDevHkYPXo0fHx8GBMiDTAu5BIURcGRI0cwbtw4CCHQqlUrZGRkaD3WNcnNzdV6BKIGY1zIJdx0003YvXs3SktLAQCnT5/WeKJrN2DAAAQEBGg9BlGDCFl7EQCRE3PFH2MeziNnxj0Xcgn8i5jIsfDGlUREpDruuRDVU91Db9xTIro87rkQ1VN6ejr0ej3S09O1HoXI4TEuRESkOsaFiIhUx7gQEZHqGBciIlId40JERKpjXIiISHWMCxERqY5xISIi1TEuRESkOsaFiIhUx7gQEZHqGBciIlId40JERKpjXIiISHWMCxERqY5xISIi1TEuRESkOsaFqB6klCgqKgIAFBUVXfDIYyL6M8aF6DJMJhOWLl2KsLAwREdHQ0qJ6OhohIWFYenSpTCZTFqPSOSQhORHMKJLSkxMxNixY2E2mwHggr0VIQQAwMvLC/Hx8YiNjdVkRiJHxbgQXUJiYiJGjhwJKSUURfnLr9PpdBBCICEhgYEhqoNxIbqIyWRCu3btUFFRcdmw1NLpdDAajcjKyoK/v7/9ByRyAlxzIbrIunXrYDab6xUWAFAUBWazGevXr7fzZETOg3suRHVIKREWFobMzMyrOiNMCIGQkBAcP37cth5D1JQxLkR15OfnIygoqEHfHxgYqOJERM6Jh8WI6igrK2vQ95eWlqo0CZFzY1yI6vD29m7Q9/v4+Kg0CZFzY1yI6ggMDERoaOhVr5sIIRAaGormzZvbaTIi58K4ENUhhMCMGTOu6Xvj4uK4mE90Hhf0iS7C61yIGo57LkQX8ff3R3x8PIQQ0Okuv4nUXqG/YcMGhoWoDsaF6BJiY2ORkJAAo9EIIcSfDnfV/prRaMSmTZsQExOj0aREjolxIfoLsbGxyMrKwpIlSxASEnLBayEhIViyZAmys7MZFqJL4JoLUT1IKbF161ZERUUhKSkJI0aM4OI90WVwz4WoHoQQtjUVf39/hoXoChgXIiJSHeNCRESqY1yIiEh1jAsREamOcSEiItUxLkREpDrGhYiIVMe4EBGR6hgXIiJSHeNCRESqY1yIiEh1jAsREamOcSEiItUxLkREpDrGhYiIVMe4EBGR6hgXoiuQUsJsNuPcuXMAgKKiItTU1Gg8FZFj42OOif6C1WrF3r178cEHH2D79u04deoUCgoK0KpVK3Tr1g2jR4/G3XffjbZt22o9KpHDYVyILqGwsBD/+c9/sHbtWgghEBkZiV69esHPzw/5+fnIyMjAvn37EBwcjOeffx7jxo2DwWDQemwih8GtgegieXl5eOCBB5CUlIQ77rgDTzzxBLp27QqTyQQpJfR6PXx8fLBnzx4sWLAAU6dORXZ2Nh577DEGhug87rkQ1VFZWYnJkydjw4YNmD9/PmbOnAlPT0+cOnUK0dHRKCkpQfv27fHDDz/Az88PJSUlePrpp7Fu3Tq8/fbbmDBhgtZ/BCKHwAV9ojq+/PJLfPHFF5g8eTIef/xxGI1GCCFgtVpx7tw55OXloaCgAFJKCCHg6+uLBQsWIDo6Gs888wyysrK0/iMQOQTGheg8s9mMZcuWoUOHDpg3bx7c3Nyu+D1CCDRr1gzPP/88SkpK8OGHHzbCpESOj3EhOu/gwYPYt28f7rnnHgQHB0MIUa/vE0IgPDwcsbGx+PLLL1FRUWHnSYkcH1cfic5LTU2F1WpFVFQUtm3bhvz8fNtrubm5tmtbysvL8fXXX6NZs2a21yMiIhATE4NNmzbh7Nmz6NSpU6PPT+RIGBei806ePIlmzZohODgYkydPxo4dOy54vfbcl9qzyepatmwZ+vTpg+rqauTm5jIu1OQxLkTnVVVVQa/Xw83NDVJKXO5Eyotfk1LC3d0dUkpevU8ExoXIpkWLFqisrERJSQm6du2KyspK22tVVVU4dOgQrFYr3N3d0b17d+j1etvrLVu2REFBAYQQ8PPz02J8IofCuBCd16NHD1RWVuLXX3/Fm2++CUVRbK/9/vvvGDRoEIqLi9GmTRts2rQJ/v7+ttcNBgNeeeUVNG/eHG3atNFgeiLHwrPFiM7r168fgoKC8PnnnwMAPD09bf94eHjYvk4IAQ8PjwteN5vN+PrrrzF48GA0b95cqz8CkcNgXIjOa9u2LcaMGYMffvgBSUlJl11zqUtKiU8//RSHDx/GAw88AJ2OmxURtwKi83Q6HWbOnIkWLVrg8ccfx9GjR68YGCklfvnlFzz//PO47bbbMGzYsEaalsixMS5EdYSFheG///0vzpw5g/Hjx+Onn36CxWKB0WjE8OHDER0djSFDhsBgMKC6uhobN27ExIkT0aZNG7z88stwd3fX+o9A5BB440qiiyiKgi+++AKzZs1CeXk57rjjDowbNw6dO3eG0WhEWVkZDh06hE8++QTfffcd+vTpg1WrViEsLEzr0YkcBuNC9BcOHDiAV199FZs3b0ZpaSl8fHzg5uaGqqoqmM1mXHfddXjwwQcxdepUBAQEaD0ukUNhXIguw2KxIDMzEykpKdi2bRveffdd/Otf/8Ktt95qO7uMiP6McSGqp71796Jv375IS0tD7969tR6HyKFxQZ+IiFTHuBARkeoYFyIiUh3jQkREqmNciIhIdYwLERGpjnEhIiLVMS5ERKQ6xoWIiFTHuBARkeoYFyIiUh3jQkREqmNciIhIdYwLERGpjnEhIiLV8XkuRPUkpYSiKNDpdBBCaD0OkUPjngvRVdDpuMkQ1YdB6wGIGkpKieLiYhQXF2s9iip0Oh2Cg4NhMHDzJOfFn15yCatXr8b+/fvRvHlzVFdXw8PDQ+uRrtnhw4exevVqtG/fXutRiK4Z40IuwWKx4OGHH8bhw4fx/fff46233kJAQIDWY101KSUef/xxKIqi9ShEDcK4kMs4cOAA/v3vf8NkMiEwMBCLFy+Gu7u71mMRNUlcnSSX0aNHD0ybNg1CCKxduxaffvopeDIkkTYYF3IZbm5umDt3Lv72t7+hqqoKzz77LE6cOMHAEGmAcSGX4u3tjYULF6JNmzb4448/8MILL6CmpkbrsYiaHMaFXIoQAt26dcO8efOg1+vxxRdf4JtvvuHeC1EjY1zI5QghMGnSJIwYMQJVVVV47rnncPbsWa3HImpSGBdySc2aNcMLL7yAgIAAHD58GIsWLYLFYtF6LKImg3EhlySEQL9+/fDII48AAN599138+OOPPDxG1EgYF3JZOp0OM2bMQL9+/VBWVoannnoKBQUFWo9F1CQwLuTSmjdvjpdeegk+Pj7Ys2cPXnvtNVitVq3HInJ5jAu5NCEEhg0bhmnTpgEA3n77bSQnJ/PwGJGdMS7k8vR6PR5//HH07dsXpaWlmDdvHnJzcxkYIjtiXKhJCAwMxCuvvAI/Pz/s27cPL730Es8eI7IjxoWaBCEEhg4discee8x277GNGzdy74XIThgXajL0ej0effRRDB8+HBUVFXjyySd57zEiO2FcqEnx9fXFokWL0Lp1a2RmZmLu3Lkwm81aj0XkchgXalKEEOjVqxeef/55uLm54ZtvvsHbb7/Nh3MRqYxxoSZHCIGJEydiwoQJsFqtePnll7Ft2zYeHiNSEeNCTZKHhwdefPFF9OzZE0VFRZg1axays7MZGCKVMC7UJAkh0KZNGyxevBgBAQHYv38/5s2bh8rKSq1HI3IJjAs1WUII3HTTTXjqqadgMBjw+eefc/2FSCWMCzVpOp0O06ZNw9133w2LxYIXX3yRt4chUgHjQk2ep6cnFi5ciIiICJhMJjz66KP4/fffGRiiBmBcqMmrXX9Zvnw5goKCcOTIETz22GMoKSnRejQip8W4EOF/gRk4cCBeeukleHh4YPPmzXjppZdQU1Oj9WhETolxITpPp9Phvvvus92e/4033sB7773HBX6ia8C4ENXh5uaGZ555Bn/7299QVVWFJ598Et9//z3XX4iuEuNCVIcQAn5+fli+fDl69eqFoqIiTJ8+HWlpaQwM0VVgXIguIoRAhw4dsHr1arRv3x6nTp3CAw88gMOHDzMwRPXEuBBdghACvXv3xqpVqxAUFITDhw/jvvvuw9GjRxkYonpgXIj+ghACUVFReOuttxAQEICMjAxMmDABBw8eZGCIroBxIboMnU6HMWPGYMWKFWjevDn279+PcePGYceOHQwM0WUwLkRXoNPpMHbsWLz77rto3bo1jh8/jnvuuQefffYZLBaL1uMROSTGhagedDodRo8ejY8//hhhYWHIzc3F5MmT8Z///AelpaXciyG6CONCVE9CCNx444348ssvMWzYMFRUVGDBggWYOHEijh8/zsAQ1cG4EF0FIQS6du2Kzz77DA899BAMBgO+/fZb3Hrrrfjss89QXV3NyBCBcSG6akIIBAYGYvHixXjrrbcQHByM33//Hf/85z8RFxeHnJwcBoaaPMaF6BoIIeDh4YH7778fCQkJuOWWW1BdXY3Vq1fj1ltvxffffw+r1ar1mESaYVyIGkAIgZ49e+Kzzz7D888/j4CAABw4cAD33HMPXnzxRS72U5PFuBA1kBACvr6+mDdvHr766iv0798fZWVlePHFFzFp0iScOnWKgaEmh3EhUolOp8OQIUOwceNG22L/xo0bMXbsWOzbt4+BoSaFcSFSkRACQUFBWLx4MV5//XX4+/sjPT0dd999N37++WcGhpoMxoVIZbWL/VOnTsW6devQpk0bnDhxAvfeey+2bNnCwFCTwLgQ2YlOp8PIkSPx4YcfomPHjsjKysKkSZPw5Zdf8kwycnmMC5Ed1V7V/8knn6BLly7Izc3Fgw8+iNdeew0lJSWQUkJKiaqqKmzbtg0lJSVaj0ykCoPWAxC5OiEE+vbti88//xxTpkxBSkoKnn76aXzzzTe444474O7ujsTERGzbtg0LFizgYTNyCYwLUSMQQqBbt26Ij4/H/Pnz8cknn2Dnzp3YuXOn7WsMBgNSUlLg7++v3aBEKuFhMaJGIoRA69atsWLFCmzYsAH33HMPunXrhq5du+K2227DunXrsGLFCri7u2s9KlGDcc+FXIKiKMjIyEBFRYXWo9SL0WjEQw89hIqKCkgpYTQaodfrkZ6ejtzcXK3HI2owIXmAl5yclBI7duzA7t27IYTQepwGMxgMmDRpEvz8/LQeheiaMS7kElzxx9gVQklNFw+LkUvgX8REjoUL+kREpDruuRDVU91Db9xTIro87rkQ1VN6errtjC4iujzGhYiIVMe4EBGR6hgXIiJSHeNCRESqY1yIiEh1jAsREamOcSEiItUxLkREpDrGhYiIVMe4EBGR6hgXIiJSHeNCRESqY1yIiEh1jAsREamOcSEiItUxLkREpDrGhYiIVMe4ENWDlBJFRUUAgKKiogseeUxEf8a4EF2GyWTC0qVLERYWhujoaEgpER0djbCwMCxduhQmk0nrEYkckpD8CEZ0SYmJiRg7dizMZjMAXLC3IoQAAHh5eSE+Ph6xsbGazEjkqBgXoktITEzEyJEjIaWEoih/+XU6nQ5CCCQkJDAwRHUwLkQXMZlMaNeuHSoqKi4bllo6nQ5GoxFZWVnw9/e3/4BEToBrLkQXWbduHcxmc73CAgCKosBsNmP9+vV2nozIeXDPhagOKSXCwsKQmZl5VWeECSEQEhKC48eP29ZjiJoyxoWojvz8fAQFBTXo+wMDA1WciMg58bAYUR1lZWUN+v7S0lKVJiFybowLUR3e3t4N+n4fHx+VJiFybowLUR2BgYEIDQ296nUTIQRCQ0PRvHlzO01G5FwYF6I6hBCYMWPGNX1vXFwcF/OJzuOCPtFFeJ0LUcNxz4XoIv7+/oiPj4cQAjrd5TeR2iv0N2zYwLAQ1cG4EF1CbGwsEhISYDQaIYT40+Gu2l8zGo3YtGkTYmJiNJqUyDExLkR/ITY2FllZWViyZAlCQkIueC0kJARLlixBdnY2w0J0CVxzIaoHKSW2bt2KqKgoJCUlYcSIEVy8J7oM7rkQ1YMQwram4u/vz7AQXQHjQkREqmNciIhIdYwLERGpjnEhIiLVMS5ERKQ6xoWIiFTHuBARkeoYFyIiUh3jQkREqmNciIhIdYwLERGpjnEhIiLVMS5ERKQ6xoWIiFTHuBARkeoYFyIiUh3jQnQFiqKgsLAQp06dAgDk5OSgvLxc46mIHBsfc0z0FyorK5GcnIz169cjNTUVeXl5KCsrg5+fHzp16oSYmBhMmjQJ4eHhfDIl0UUYF6JLyMzMxJw5c5CQkIA2bdpgxIgRiIyMhK+vLwoKCpCWloatW7eipqYGs2bNQlxcHLy8vLQem8hhMC5EFzl06BAmTJiA06dPY+bMmZgyZQp8fX2Rnp4Oi8UCT09PREREICcnB4sXL8batWvxj3/8A6+//joDQ3Qe40JUR0FBAW6//XYcPXoU77zzDkaNGgW9Xo/MzEwMGDAAJpMJnTp1QkpKCvz9/WGxWLBmzRrMmTMHs2fPxvz586HTcSmTyKD1AESOZMWKFUhLS8OyZcswevToC0JRU1MDi8UCi8UCABBCwM3NDQ8++CBOnz6NZcuWYdSoUejdu7dW4xM5DH7EIjovLy8Pa9euxaBBg3DvvffWew/EYDAgLi4OLVu2xOrVq8GDAUSMC5FNamoqTp8+jYkTJ8LT0xNWq/WCf2pJKf/0WosWLXDnnXdiy5YtMJlM2v0hiBwED4sRnZeeng53d3f07t0bc+fOxcGDB22vVVRU2K5tyc3Nxfjx42Ew/N/mM336dAwZMgTLly9HdnY2AgICGn1+IkfCuBCdl5eXB09PT/j5+SElJQU7duy45NdVVFQgKSnpgl8bOXIkBg8eDEVRuOdCBMaFyMbDwwOKosBisUCn0/1pzUVRFNu/X/yaEALV1dUAADc3N/sPS+TgGBciAFarFQaDAeXl5cjKysIrr7yCoqIi2+s5OTmIi4tDeXk5WrVqheXLl8Pb29v2enh4OLZt2wYPDw+0atVKiz8CkUNhXKhJklLixIkTSEpKwpYtW7B161YUFhZCSonvvvsOCxcuvGDvJDMz07bG4uXlhejo6AvWVSwWC7799ltUVFRg5syZGDp0KAYNGoTevXvD09Oz0f98RFrjRZTUZOTm5mLr1q3YsmULkpKScOrUKej1egwcOBBRUVEYOnQoXn75ZRw7dgxJSUno3Lmz7Z5hmZmZ6N27N4qLi9GpUyfs2bPHFhcpJX755ReMHj0ad999NwICArBz506cO3cObm5uiIyMxKBBgzBw4EB0794der1ey/8MRI2CcSGXVVZWhu3btyMpKQlJSUnYv38/AKBHjx6IiopCVFQUbrzxRvj6+tq+JykpCXfccQeio6Oxdu1a+Pr6Qgjxl3GRUiInJwfjxo2DxWLBd999Z/v1zMxM7Ny5Ezt37kRqairKy8vh4+OD/v3722LTsWNH3vSSXBLjQi6jpqYGqamptpjs3LkTFosF7dq1Q1RUFKKjozFixAgEBwf/5XtYrVYsWLAACxYswJgxY7Bo0SK0bdsWp06dQmxsLEpKStC+fXskJibC19cXx44dwyOPPIJDhw7h888/x+DBgy/5vhaLBQcPHsSuXbuwc+dOZGRkwGKxoFWrVhg4cKAtNkFBQfb6z0PUqBgXclpSShw6dMi2brJt2zbbLfFHjBiB6Oho3Hzzzbj++uuvau+gqqoKCxcuxKJFi9C+fXtMnz4dMTEx8PDwgF6vh9VqRVlZGTZu3IhVq1bBzc0NK1euRFRUVL1/D7PZjD179mDnzp3YtWsXjh49CgDo3LmzLTR9+/a94KQBImfCuJBTycrKQnJysm3d5OzZs3B3d8eQIUNsh7p69+59wQWO18JqtdoW9vfs2QOj0Yjg4GA0a9YMpaWlOHPmDPR6PcaMGYMnn3wSnTt3btDvV1hYiF27dtn2bGrf/4YbbsCgQYMwaNAg9OzZk6c5k9NgXMihmUwmbNu2zRaTo0ePQgiByMhI26GuwYMH2+1W92azGWlpadi+fTuOHz+OiooKBAYGolevXhg+fDg6d+6s+gK9lBJZWVm29ZqUlBQUFxfDaDSib9++tth07tyZd2Amh8W4kEOpqqrCzp07sWXLFiQnJyM1NRWKoiA0NNQWk+HDhyMwMFCT+aSUjb4Ab7VaceTIEduezZ49e1BVVYXmzZtfsF7Tpk2bRp2L6HIYF9KUoijIyMiwHerasWMHKioqEBQUhJtvvhlRUVG4+eab0alTJ61HdRhVVVXIyMiw7dkcOnQIiqKgffv2tr2a/v37w8/PT+tRqQljXKjRZWZmXnDxYkFBAby8vHDjjTciOjoaUVFRuOGGG3jIp55KSkqwe/du23rNyZMnIYRAt27dbHs2kZGRvJiTGhXjQnZ37tw528WLycnJ+P3336HX69G/f3/bIvzAgQPh7u6u9aguIScn54KTAwoKCmx3e649hBYeHs6LOcmuGBdSXXl5OX7++WfbInxGRgYAoFu3braY3HTTTTxs0wiklPjtt99spzynpqbCbDbDx8cHAwYMsB1Ga9++PS/mJFUxLtRgFosFaWlpF1y8WF1djTZt2tgW4W+++WYuODsAi8WCAwcO2NZr9u3bB6vViuDgYNtezcCBAzU7YYJcB+NCV01KiSNHjtgW4X/88UeUlJTA19cXw4cPt62bdOnShZ+GHVx5eTnS0tJsh9GOHTsGALj++utt6zV9+/a126ne5LoYF6qXM2fOXHDx4pkzZ+Dm5obBgwfbDnX17du3wRcvkrby8/ORkpJi27M5e/Ys9Ho9evXqZTuEdsMNN/D/M10R40KXVFxcjJ9++skWk8OHDwMAIiIibIe6hgwZgmbNmmk8KdmLlBKnTp264GLO0tJSeHl5oV+/frY9m7p3jyaqxbgQgP9dO7Fr1y4kJycjKSkJu3fvhtVqRceOHREdHW27eJE3Vmy6rFYrDh8+bDsLbe/evaiurkaLFi0uuJizdevWWo9KDoBxaaIURcGBAwds15ts374dZrMZgYGBtosXo6KiEBISovWo5KAqKyuRnp5uOxPt0KFDkFKiY8eOttD079//gkcaUNPBuDQhJ0+evODixXPnzsFoNGLo0KG2RfhevXrx4kW6JsXFxdi9e7ftMNqpU6eg0+nQvXt3W2wiIiLg4eGh9ajUCBgXF1ZQUIAff/zRtm5y4sQJ6HQ69OvXz7ZuMnDgQG7sZBdnzpyxHULbtWsXCgsL4eHhgT59+tgOo3Xt2pUfZlwU4+JCKioqLrh4MT09HVJKdO3a1XaYa9iwYfD399d6VGpiFEWxXcy5c+dOpKWloaKiAv7+/rYncw4aNAjt2rXjyQEugnFxYlarFXv27LEd6tq5cyeqqqoQHByMm2++2XbxYrt27bQelegCNTU12L9/vy02Bw4cgNVqRdu2bTFo0CAMGDAAAwcORPPmzbUela4R4+JEpJQ4fvy4LSY//vgjTCYTfHx8MGzYMNu6SXh4OD/9kVMpKyuzPZlz586d+O233wAAXbp0se3V9OnTB0ajUeNJqb4YFycxY8YMfP3118jKyoKbmxsGDRpkux19v379+IRCcinnzp27YL0mNzcXBoMBEREReOyxxxAZGan1iHQFjIuTsFqtAAAhhO0foqZASomamhpUVFTAbDYjICCAjw9wAowLERGpjjcIaiApJYqLi1FcXKz1KKrQ6XQIDg7mvaPoqkgpUVpairKyMq1HUYUQAkFBQdwOGoD/5VSwevVqHDhwwCVuU37o0CGsXr0a7du313oUcjKff/45jh075hKnup84cQL/+c9/EBwcrPUoTotxUYHFYsGMGTPQt2/fen99RkYGtmzZgnPnziE0NBR///vf0bFjR03XUqSUeOKJJ6AoimYzkPOyWq2YOHEievTooer7KoqCvLw8HDhwAMeOHUNJSQm8vb3RtWtXREREoEWLFqpuN1JKvPrqq9wOGohxUdGVfsCllMjPz8fzzz+PDz/8EKWlpbbXFi1ahOeffx733nsvd8XJqan1F33thZcff/wxtm7dioKCggv+wtfpdGjdujXGjRuHe+65B76+vjzRxYHwb7FGIqXEmTNn8MADD2Dr1q0QQuD6669Hu3btcOjQIWRlZWHGjBmorKzElClTeEsMarKklCgvL8eHH36I999/H0VFRRBCwNfXF9dddx38/f1RUlKCkydP4syZM1i+fDl27tyJZ599Fh06dGBgHATj0kiKi4sxffp0JCcnw8vLC7Nnz8a//vUv+Pv747fffsMjjzyCH3/8EfPnz0fXrl1x0003cSOhJkdKiXPnzuHFF1/E1q1boSgKrrvuOtx111245ZZb0Lp1axgMBlgsFpw+fRoff/wxvvrqK+zevRszZ87Ea6+9hpCQEG47DoAfjxuBxWLBK6+8gs2bN8PT0xMvv/wynnrqKbRo0QIGgwFdunTBmjVr0LNnTxQVFWH+/Pkuc/YZUX1JKZGXl4c5c+YgKSkJer0ed999N9auXYsHH3wQHTp0gIeHB/R6PTw8PBAaGop58+bhueeeg5+fH44dO4annnoKeXl54BUW2mNc7ExKiW3btmHFihUAgOnTp+Ohhx66YF1FCIHrrrsOCxcuhJeXF1JSUvDxxx9zA6EmQ0qJsrIyvPDCC0hNTYXRaMTs2bPx5JNPonXr1pfcExFCwM3NDSNHjsSzzz4Lb29vHDhwAIsWLUJlZaUGfwqqi3Gxs9LSUjz//PMoKytD//79MW/evEveqkUIgREjRuDOO++Eoih46623UFhYqMHERI3ParVi1apV+Omnn+Du7o6ZM2diwoQJcHd3v+IhLp1Oh+joaPzrX/+CwWDADz/8gA0bNvBsL40xLnYkpcQXX3yBlJQUGI1GPPvss5e9y6vBYMCMGTPg6+uLo0eP4ptvvuHeC7k8KSV27txp21sfP3487r777qs6a7L2EFpMTAwsFgtWrVqFEydOcPvREONiRyaTCW+88QasVitGjRqF4cOHX/ZTmBACPXv2xC233AJFUbBu3Tru3pPLKy4uxrJly1BRUYFevXph2rRp13QjVg8PDzz66KNo164d8vPzsWLFCtTU1NhhYqoPxsVOpJT49ttv8euvv8Lb2xuPPvpovTYYg8GA+++/H25ubkhLS8O+ffv46YtclpQSGzZswOHDh9GsWTM89thj8PX1vab3EkKgbdu2mDJlCgwGA7Zu3YpffvmF249GGBc7qaiowLvvvgur1YpbbrkFffr0qdfpkUIIDB48GF27dkVFRQXi4+MbYVoibeTm5toOh40cORKRkZENOo1YCIFbb70VkZGRqK6uxjvvvAOz2azixFRfjIsdSCmxe/dupKamwt3dHZMnT76q48e+vr647bbbAACbN2/macnkkqSU2LhxI3JyctC8eXPcd9990Ov1DX5fo9GIKVOmwMPDAwcOHMCPP/7IvRcNMC52IKXERx99hKqqKvTs2RNDhgy5qk9jQgiMHj0aXl5eOHHiBPbs2cONg1xOQUEBvvzyS9tei1r31hNCoF+/fhg8eDAsFgs++OAD7r1ogHGxg7NnzyIxMREAcM8996BZs2ZX/R7dunVD9+7dUVNTg2+++UbtEYk0JaXEjz/+iOzsbPj6+mLs2LGqXlXv5uaG++67D56enjh06BB+/vlnfkBrZIyLyqSUSE5Otu3qjxo16po2GqPRiL/97W8AgOTkZJSUlKg9KpFmqqqqsHHjRiiKgiFDhqBTp06qxkUIgcjISPTt2xcWiwWffPIJqqqqVHt/ujLGRWVWq9V2AdfgwYPRqVOna3ofIQRiY2Ph6emJEydO4ODBgypPSqQNKSUOHz6MQ4cOwWAwYMyYMaqstVzMzc0N48ePh8FgQEZGBvbv38+9l0bEuKgsKysLO3fuhBACd9xxR4M2mu7duyM0NBRVVVXYsmULNwxyGYmJiaisrERoaCgiIiLscqNJIQT69++Prl27oqqqilftNzLGRUVSSvz000/Iz89HixYtrnjR5JV4e3tj+PDhAIAtW7Zwt55cQnFxMbZt2wYAiI6OvqY1yfry8vLC7bffDiEEduzYgaysLLv9XnQhxkVFiqJg06ZNkFKiX79+aNu2bYPfMyYmBnq9Hr/++itOnjzZ8CEvIqVEVlYWTp48yTNqyO6klNi3bx/OnDkDLy8v3HzzzXa9Pb4QAlFRUWjVqhWKiorw/fff8whAI2FcVJSfn4+UlBQAwN///vcGH0cWQqBPnz5o3bo1SktL7XbGy4IFC9C/f3/8+9//5oZHdlV7wovFYkGXLl2ueU3yagQFBdmOAGzevBnl5eV2/z2JcVFVRkYGcnJy4OPjo9rDvoKCgtC3b19IKfH999+rfsy4pqYGBw8eRGFhIXx8fPiQJbKrkpIS2wew4cOHw93d3e6/pxACI0eOtJ0cw1sqNQ7GRUVJSUmwWCzo2rUrQkJCVHnP2tuJA0Bqaqrqt+E3mUz4448/IIRAjx49VH1vorqklPj111+Rk5MDo9GIoUOHNsqHGSEEwsPD0bVrV1gsFmzevJlxaQSMi0oqKiqwfft2AMBNN90ET09PVd5XCIGhQ4fC29sbZ86cUf10ytOnT6OgoACenp7o0qWLau9LdCnbt2+HxWJB586d0bFjx0b7fT09PREbGwsA+OWXX5Cfn99ov3dTxbioJC8vD9nZ2TAYDBgxYoSqn8hCQ0Nx/fXXw2KxIDk5WbX3rb3eoKqqCi1atEC7du1Ue2+ii5nNZuzatQsAMHjwYHh4eDTa7y2EwLBhw+Dn54dz585h165d3HuxM8ZFJW3atEFCQgJWrVqF/v37q/reRqMRN910EwDgxx9/VPUZLxkZGZBSIiQkBH5+fqq9L9HFMjMzcerUKbi7uzfaIbG62rZti8jISCiKgu+//x5Wq7VRf/+mhnFRiZubG2644Qbcd999CAgIUPW9a0+n1Ov1OHz4sGqnJFssFmRkZAAAevbseU0PaCKqj9qnTVZVVaFt27bo3Llzo8+g1+sRExMDIQTS09ORk5PT6DM0JYyLyoQQdvlEFhERgVatWqG0tFS1ByCZTCb89ttvtlOeiezFYrHgl19+AQD06dMH3t7ejT5D7RX7gYGBKC4uxs6dO3lozI4YFycRFBSEPn36QEqJH374QZVTkjMzM3Hu3Dl4enryTDGyq5ycHBw9ehQ6ne6qH0GhppYtW9q2o9rrbcg+GBcnodfrccsttwAAdu/e3eBTkqWUSE9PR1VVFYKDg9GhQwc1xiT6k9qftdLSUgQEBKBnz56axUWn0yEqKgo6nQ4HDhzgoTE7YlycxMWnJDf0QjAppe3Mne7du1/zc8uJrkRKabu7RPfu3dGiRQvNZhFCoHfv3ggICEBxcTFSU1N5aMxOGBcn0rlzZ3Tp0gUWiwU//PBDg96rvLwce/fuBQAMHDgQOh1/FMg+iouLbSeODBkyxC63178aQUFBiIyMtD2wjGeN2Qf/RnEiRqMRI0aMAABs3bq1QTea/OOPP/DHH3/Azc0NAwcO5G1fyC6klDh69Chyc3NhNBrRt29fzX/W9Ho9hg0bBiEE9u/fzwsq7YRxcTIxMTFwc3PDkSNHcOzYsWt6Dykldu/eDbPZjFatWiE8PFzlKYn+z88//wyLxYJOnTo5xNqeEAJ9+/aFr68vCgsLea8xO2FcnIgQAr169UL79u1hNpuv+QFitYcDpJTo1asXmjdvbodpiYDKykrbjSoHDBig2m2RGio4OBjh4eFQFAU//fQT42IHjIuTCQgIwLBhwwD87/bh1dXVV/0eJpPJtsGPGDFC82Pg5LpOnTqF33//HQaDAYMHD9b8kFgtg8GAoUOHAgD27NmD0tJSjSdyPYyLkxFCYNSoUdDr9cjIyMCJEyeu+j0OHDiA06dPw8vLS7VHAxBdTEqJ1NRUhzz8KoTAgAEDYDQacfbsWRw9elTrkVwO4+JkajeKtm3boqSkBImJiVe1Sy+lRGJiIqqrqxEWFobrr7/ejtNSU2axWGx3Co+IiHC4e9d17NgR7du3R01NDa/WtwPGxQkFBQXh5ptvBgB89dVXV3Ujy/LyciQmJgKw//PLqWnLy8vDr7/+CiGEQ+4hG41G201mU1JSrukQM/01xsUJCSFw1113wc3NDenp6Thw4EC9PnXVXil95MgReHh4YNSoUQ63wZNrkFJi7969MJlMCAgIQO/evR3yZ23QoEHQ6/U4ceIEsrOztR7HpTAuTkgIgYEDByIsLAxmsxmffvppvePyxRdfoKqqCuHh4YiIiLD/sNQkKYpiOyOxR48eCAoK0nqkPxFCoFu3bggMDER5ebnt8ROkDsbFSfn5+WHcuHEAgA0bNtTrHklnz57F119/DQC48847NbkzLTUN+fn52Lt3L4QQGD58OAwGg9YjXVJAQAC6detmeyQA46IexsVJCSFwzz33oEWLFsjKysJnn3122Q1DSon4+HhkZWUhMDAQd911l0MepiDnJ6VEWloa8vPz4ePj49B3gNDr9Rg4cCCA/51FyVOS1cO4OLHQ0FCMGTMGUkqsXr0aubm5f/m1+fn5WL16NaSUGD16NEJDQxtxUmpKrFar7bEQPXv2RJs2bbQe6S/VPsvI09MTZ8+evaZT++nSGBcnptPpMH36dAQEBOD48eNYuXLlJZ/zoigK3nnnHRw+fBh+fn6YPn06b1RJdpOTk4M9e/ZACIFbbrnFYQ+J1erQoQPatm2LmpoapKamaj2Oy+DfME5MCIEePXrg/vvvh5QSb7755p+OG9feR2zp0qWQUuLee+9FRESEwx6mIOe3bds2FBUVITAwUNMHg9WXl5eX7eSW1NRUPkBMJYyLk9Pr9Zg5cya6d++OwsJC/Otf/8KhQ4cgpYSUEr/++iumT5+O/Px8dO3aFU888QT3WshuKisrkZCQACklhgwZgpYtW2o9Ur0MGDAAQggcO3YMBQUFWo/jEhx7f5XqJTg4GIsXL8aECRNw8OBB3HHHHXjggQdgtVrx3nvv4eTJk2jevDkWL16Mdu3aOfwnSXJeubm5KCoqgoeHB0aPHu0UH2RqjwD4+PjAZDLhyJEjWo/kEhgXF1B7uueKFSsQFxeHzMxMPP3007bX27Rpg6VLlyIqKophIbvq0KED3nvvPezbt8+pDr+2bt0aHTt2xP79+5GWlqb1OC6BcXEROp0Od9xxB0JDQ/HGG28gJSUFOp0OgwYNwsMPP4wePXo4zYZOzq1169Zo1aqV1mNcFXd3d/Tt2xcFBQVwc3NDTU2N1iM5PcZFBYqiICMjAxUVFVqPAgCYOHEixo4dCyEEPD09UVRUZLuB4JVc7nRmostRFAVHjhxBVVWV1qNck8jISERERMDHxweff/651uM4PSF5SWqDSCmxY8cO7N692yX2DAwGAyZNmuRwd7Alx1Z7L7H9+/e7xHag1+sxZswY+Pj4aD2K02JcVOCK/wld4S8IalzcDqguxoWIiFTn+OcJEhGR02FcnETtRZHc0aSmTFEUVFZWXvI2R+RYGBcnkZ6eDoPBgPT0dK1HIdLMkSNH0KdPH17o6AQYFyIiUh3jQkREqmNciIhIdYwLERGpjnEhIiLVMS5ERKQ6xoWIiFTHuBARkeoYFyIiUh3jQkREqmNciIhIdYwLERGpjnEhIiLVMS5ERKQ6xoWIiFTHuBARkeoYFycgpURRUREAoKioiE+jpCapdjuoqanhduAEGBcHZjKZsHTpUoSFhSE6OhqKoiA6OhphYWFYunQpTCaT1iMS2V3d7WDo0KE4fvw4hg4dyu3AwQnJ/DukxMREjB07FmazGQAu+JQmhAAAeHl5IT4+HrGxsZrMSGRv3A6cF+PigBITEzFy5EhIKaEoyl9+nU6ngxACCQkJ3LDI5XA7cG6Mi4MxmUxo164dKioqLrtB1dLpdDAajcjKyoK/v7/9ByRqBNwOnB/XXBzMunXrYDab67VBAYCiKDCbzVi/fr2dJyNqPNwOnB/3XByIlBJhYWHIzMy8qjNhhBAICQnB8ePHbcehiZwVtwPXwLg4kPz8fAQFBTXo+wMDA1WciKjxcTtwDTws5kDKysoa9P2lpaUqTUKkHW4HroFxcSDe3t4N+n4fHx+VJiHSDrcD18C4OJDAwECEhoZe9fFiIQRCQ0PRvHlzO01G1Hi4HbgGxsWBCCEwY8aMa/reuLg4LmKSS+B24Bq4oO9geH4/EbcDV8A9Fwfj7++P+Ph4CCGg013+f0/tlckbNmzgBkUuhduB82NcHFBsbCwSEhJgNBohhPjTbn7trxmNRmzatAkxMTEaTUpkP9wOnBvj4qBiY2ORlZWFJUuWICQk5ILXQkJCsGTJEmRnZ3ODIpfG7cB5cc3FCUgpUVhYiNLSUvj4+KB58+ZctKQmh9uBc2FciIhIdTwsRkREqmNciIhIdYwLERGpjnEhIiLVMS5ERKQ6xoWIiFTHuBARkeoYFyIiUh3jQkREqmNciIhIdYwLERGpjnEhIiLVMS5ERKQ6xoWIiFTHuBARker+P/eyt8uBPGSxAAAAAElFTkSuQmCC\n", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.plot()" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "e3c92b0d", - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.7" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/tutorials/.ipynb_checkpoints/Example_12_unsupervised_learning-checkpoint.ipynb b/tutorials/.ipynb_checkpoints/Example_12_unsupervised_learning-checkpoint.ipynb deleted file mode 100644 index c2baacef..00000000 --- a/tutorials/.ipynb_checkpoints/Example_12_unsupervised_learning-checkpoint.ipynb +++ /dev/null @@ -1,324 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "5d904dee", - "metadata": {}, - "source": [ - "# Example 12: Unsupervised learning" - ] - }, - { - "cell_type": "markdown", - "id": "6465ec94", - "metadata": {}, - "source": [ - "In this example, we will use KAN for unsupervised learning. Instead of trying to figure out how a target variable $y$ depends on input variables, we treat all variables on the equal footing (as input variables). Below we contruct a synthetic dataset where we have six variables $x_1, x_2, x_3, x_4, x_5, x_6$. $(x_1, x_2, x_3)$ are dependent such that $x_3={\\rm exp}({\\rm sin}(\\pi x_1)+x_2^2)$; $(x_4,x_5)$ are dependent such that $x_5=x_4^3$. And $x_6$ is independent of all other variables. Can we use KANs to discover these dependent groups?\n", - "\n", - "The idea is that we treat the problem as a classification problem. The dataset that satisfies these interdependent relations are 'positive' samples, while corrupted samples (by random permutation of features across samples) are 'negative' samples. We want to train a KAN to output 1 when it is a positive sample, and output 0 when it is a negative sample. We set the last layer activation to be Gaussian, so positive samples will have zero activation in the second to last layer, while negtive samples will have non-zero activation in the second to last layer. We can then define the relation implicitly as $g=0$ where $g$ is the activation in the second to last layer." - ] - }, - { - "cell_type": "markdown", - "id": "94056ef6", - "metadata": {}, - "source": [ - "Intialize model and create dataset" - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "id": "0a59179d", - "metadata": {}, - "outputs": [], - "source": [ - "from kan import KAN\n", - "import torch\n", - "import copy\n", - "\n", - "\n", - "seed = 1\n", - "\n", - "model = KAN(width=[6,1,1], grid=3, k=3, seed=seed)\n", - "\n", - "# create dataset\n", - "\n", - "\n", - "def create_dataset(train_num=500, test_num=500):\n", - " \n", - " def generate_contrastive(x):\n", - " # positive samples\n", - " batch = x.shape[0]\n", - " x[:,2] = torch.exp(torch.sin(torch.pi*x[:,0])+x[:,1]**2)\n", - " x[:,3] = x[:,4]**3\n", - "\n", - " # negative samples\n", - " def corrupt(tensor):\n", - " y = copy.deepcopy(tensor)\n", - " for i in range(y.shape[1]):\n", - " y[:,i] = y[:,i][torch.randperm(y.shape[0])]\n", - " return y\n", - "\n", - " x_cor = corrupt(x)\n", - " x = torch.cat([x, x_cor], dim=0)\n", - " y = torch.cat([torch.ones(batch,), torch.zeros(batch,)], dim=0)[:,None]\n", - " return x, y\n", - " \n", - " x = torch.rand(train_num, 6) * 2 - 1\n", - " x_train, y_train = generate_contrastive(x)\n", - " \n", - " x = torch.rand(test_num, 6) * 2 - 1\n", - " x_test, y_test = generate_contrastive(x)\n", - " \n", - " dataset = {}\n", - " dataset['train_input'] = x_train\n", - " dataset['test_input'] = x_test\n", - " dataset['train_label'] = y_train\n", - " dataset['test_label'] = y_test\n", - " return dataset\n", - "\n", - "dataset = create_dataset()" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "id": "79665292", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model(dataset['train_input'])\n", - "model.plot(beta=10)" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "id": "45760ca2", - "metadata": {}, - "outputs": [], - "source": [ - "# set the (1,0,0) activation to be gausssian\n", - "#model.fix_symbolic(1,0,0,lambda x: torch.exp(-x**2/10),fit_params_bool=False)\n", - "model.fix_symbolic(1,0,0,'gaussian',fit_params_bool=False)" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "id": "d951ae17", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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//jh0Oh30er05YBISErBz5058+umnGDFiBCRJsnWxiRSD4UJ0A51Oh5kzZ2LTpk349ttvERsbi8rKSvTv3x9nzpzBs88+i4ULF6K6uhrLli3DJ598grVr1+Luu++2ddGJFIMD+kQ3+P3337Fy5UosXLgQcXFxUKlUEEKgvLwcpaWlqKysBAA4OTnhueeew8iRI/H222+jqqrKxiUnUg6GC9F1hBD497//jZ49e2LYsGG37epydHTEjBkzcOrUKSQnJ1uplETKx9liRNcpLy/HwYMHMXHiRGzfvh1ZWVkAAK1Wi4KCAgDAyZMn8eWXXwIAJEnC4MGD0bFjRxw4cIBdY0T/h+FCdJ2ysjIUFhYiNDQUCQkJ2LZtW63H7NmzB3v27AEAODg4YPPmzQgNDcXFixetXVwixWK4EAGorKxEZmYmjh07hqqqKlRVVcHDwwPe3t7mxxQXF8NgMMDZ2Rlubm4AjOGiVqtRWVmJwsJCpKenIzQ0lDPHqMXjbDFqUYQQuHz5MjIyMmr8ycnJwbVr11BaWork5GQ899xzmDVrlnnw/tq1a4iPj0dKSgrGjh2L+fPnm5/T3d0dgwYNQlJSEhwcHODh4YGuXbuia9eu6NatG7p27YouXbrAw8PDVpdNZHVsuVCzde3aNXN4pKenIyMjA5mZmebAcHNzg4eHBxwcHNC2bVtoNBoEBAQgJCQEiYmJmDVrFkJCQgAYx2JMq/Hd3d0RHBwMSZIghMCuXbtw7tw5CCGg0+mg0WhQXFyM7du346uvvoJerwcAtG/f3hw2Xbt2Rffu3dG+fXuoVJxXQ80Pw4XsnsFgQG5ubq3WSF5eHgBj11VgYCDCwsLQuXNnCCFQUVGBq1evQgiBdu3aITIyEpGRkfD390dGRgZiY2OxYMECvPfee3BycqrzdYUQuHr1Kt555x1MnToVs2fPxtatW5GYmIitW7eipKQEQUFB6N27N0JCQqDX63H69GksXboUV65cAWAMuC5dupjDxtTK8fLyslb1EVkEu8XIrpSXl9doiZhaI1qtFgDg5eWF0NBQhIaGIiwsDCEhIRBC4MKFC0hJScHVq1fh4OCAsLAwc6B4enrWeI0NGzbg0UcfhaOjI1566SXMmjULTk5OGD16NFJTU/H3v/8db731Fi5cuIAXXngBx44dwx9//GFu5QDG2WV79+5FYmIiEhMTcf78eWg0Gjz44IOIj49Hr169kJubi+TkZBw/fhzJyck4ffo0qqurAQAhISE1WjndunVDREQEHBwcrFfZRE3AcCFF0uv1yMnJqdUauXr1KgBArVYjODjYHCSmP61atUJVVRXOnz+PlJQUpKam4tq1a9BoNIiIiEBkZCTat29/09bI8uXLMWXKFIwaNQrDhg3DO++8g4CAAIwZMwadOnWCm5sbCgsLsW/fPqxcuRIBAQGorKxEdHQ0PvvsM/j4+NR6TiEETp8+jZ9//hmJiYnYv38/AKBXr16Ij49HfHw8unbtCp1Oh7Nnz5oDxxQ6OTk5AAAXFxd07tzZHDbdunVDly5d4Ovra6HfAlHjMVzI5kpLS2u0RDIyMpCVlWW+i/fx8TG3REwhEhAQUOMuvri4GOfOnUNKSgoyMjJgMBjQtm1bc+skICDgljO4hBCYP38+3nrrLUybNg2ff/45HBwckJKSgmXLlmHr1q3mYHNyckLHjh3x9NNPY8SIEcjKysILL7wAjUaDxYsXIzAw8JbXe+XKFWzevBmJiYnYtm0bysrKEBoaag6afv36wdnZucbjT5w4gePHj+PYsWM4fvw4Tp06Zd4RIDAwsMbkgW7duiEyMpI7NpNNMVzIavR6PbKzs2uESHp6OgoLCwEYV7uHhITU6taqa5aVEAKXLl0yB8qVK1egUqlqdHe1atWq3uWaMWMGvvzyS8ybNw9vvPFGrSAqKytDfn4+qqur4eHhAV9fX6jV/xuyzM7OxowZM1BeXo7FixcjKiqqXq9dVVWF3bt3m7vPMjIy4O7ujoceegjx8fEYOnQo2rRpU+vndDodUlNTzWFj+mNa9Onk5IROnTrV6lqr67mILIHhQhZRVFRUq0srKyvLPHOqdevWNVoioaGh8Pf3v+XMKa1WW6O7q6KiAm5ububurvDw8Jt2d91MZWUlxowZg59++glLly7Fs88+2+hrLigowMyZM5GRkYGFCxfirrvuatDPCyFw4sQJc9D8+eefAIDevXubWzWdOnW6ZQusoKDA3MpJTk5GcnIyTp48iWvXrgEA/Pz8aoRNt27dEB0d3eB6I7odhgs1SXV1dY3WiKl7q7i4GADg7Oxsbo2YwiQkJAQajaZez19SUoKUlBSkpKQgPT0der0erVu3RmRkJKKiohAYGNjoBYvFxcUYMWIE/vzzT6xevRrDhw9v1PNcr6KiAq+88gqSkpLw7rvvYuDAgY1+rsuXL2PTpk1ITEzE9u3bUVFRgfbt25uDpm/fvvUKBb1ej/Pnz5vDxhQ8GRkZAIzjV3fccYd5tprpj5+fHxeDUqMxXKhehBAoLCys1RrJzs42t0batWtXoyUSFhaGdu3aNegLSgiBnJwcc6BcvnwZKpUKISEh5kCRY5rupUuXMGTIEGRlZSExMRFxcXFNfk6T6upqvPvuu9i2bRtmzZqFxx57rMnPWVlZid9++83cqrl48SI8PT0xePBgxMfHY8iQIQ0e2C8uLq7RyjF1rZWXlwMA2rRpU2sxaMeOHeHi4tLk66Hmj+FCtWi1Wly8eLHWIHtpaSkAwNXVtdYsLdMpjY1RXV1tniqcmpqKsrIyuLq6okOHDoiKikJ4eHiNAe6mOnv2LB566CHo9Xps3boVnTt3lu25TQwGAxYtWoTvv/8eEyZMwJQpU2RrBQghcOzYMXPQHDp0CCqVCnFxceZWTXR0dKNez2AwID09vUbYHDt2DOfPnwdgXDMUFRVVY/JA165dm9SCpOaJ4dKCCSGQn59fq0vr0qVLEEJAkiT4+fnVmqnVpk2bJn+RlJSUIDU11dzdpdPp4OvrW6O7yxIr1w8ePIihQ4eibdu22LZtG4KDg2V/jet99913+PzzzzF8+HDMmTPHIutUcnJyzN1nO3bswLVr1xAREWEOmvvuu6/JM8fKyspw8uTJGjPWjh8/jpKSEgCAt7d3jXGcrl27mqduU8vEcGkhqqqqkJmZWatby9QFotFoanVpBQcHy9ZiEEIgNzfX3N2Vm5sLSZLM3V2RkZF1rhGR05YtWzB69Gh0794dGzdutPjrmWzevBnvvvsuYmNj8f7771u0W+natWv49ddfkZiYiI0bN+LSpUvw8vKq0X12/WacTSGEQGZmZq11OSkpKRBCQKVSISIiotaMtZCQELZyWgCGSzMjhMCVK1dqrWLPzc01t0YCAgJqzdTy9fWV/QOv0+lqdHeVlpbCxcUFHTp0QGRkJDp06GC1/vtvvvkGEydOxODBg7F69Wqr31Hv378fr7zyCiIjI/HZZ5/V2hXAEoQQSEpKMnefmTbWvO+++zB8+HDEx8cjMjJS9tetqKjAqVOnasxYO378uHnKuaenZ4391bp27YrOnTvD3d1d9rKQ7TBc7Ni1a9dqtEbS09ORmZlpnnbq7u5uDhHTf4OCgiw67bSsrMzcOrlw4QJ0Oh18fHzMrZPg4GCrbtQohMAnn3yCV155BRMmTMDSpUtrrE+xppMnT2LmzJnw9vbG4sWL0a5dO6u+fnZ2NjZu3IjExET8+uuv5p0FTN1nsbGxFqsbIQSys7NrTB5ITk7GuXPnzBNCwsPDa8xY69atG8LCwrixp51iuNgB0zbxNw6wX758GcD/Nma8cZDd29vbKt0P13d35eTkQJIkBAUFISoqCpGRkTbbnsRgMGDWrFn49NNP8cYbb2DevHk2747JzMzE9OnTodPp8MUXXyA8PNwm5SgvL6/RfZabmwsfHx8MGTIE8fHxGDx4cL0XoTZFZWUlTp8+XSt0TLshuLu7mzf2vH7LG2u0/KhpGC4KU15ebm6NXL9NvGmrj1atWtXq0goMDLTqVh86nQ4ZGRk4d+4cUlNTUVJSAmdnZ4SHhyMqKgodOnRo9MwxuWi1WjzzzDNYuXIlFi1ahOnTp9u0PNe7cuUKXnzxReTm5uLTTz9F9+7dbVoeg8GAv/76y9x9duzYMajVavTt29fcqunQoYPVymMan7t+HCc5ORlnzpyBTqcDAISGhtaYPNCtWzeEh4dzY08FYbjYiMFgqLUxY3p6uvmOzcHBoc6NGW21FXt5ebl5dtf58+dRXV0NLy8vc+skODhYMR/s0tJSjB49Grt27cJ3332HRx991NZFqqWsrAwvv/wyTpw4gQ8++AB9+/a1dZHMMjMzzd1nO3fuhFarRceOHc3jNPfee69Nftdarda8sef1kwhyc3MBGI8vuH5jT1P3mlwTGKhhGC5WUFpaWmuWVmZmZq2NGW9sjdj6yzovL8/c3ZWdnQ1JkhAYGGgOlNatW9u0fHXJy8vD0KFDce7cOWzYsAEDBgywdZFuSqvVYu7cudi1axdef/11jBw50tZFqqWsrAw7duxAYmIiNm3ahLy8PLRu3RpDhw5FfHw8Bg0aZPMuqry8vBr7qyUnJ+PUqVPmYxiCg4NrbXkTERFhs7G3loLhIiO9Xo9Lly7VmqlVUFAAwLgxY12tEVt/OE30ej0yMjLMgVJcXAwnJyeEh4cjMjISERERil63cP78eTz00EMoKyvDli1bcOedd9q6SLdlMBiwYMECrFu3DlOmTMGECRNsPi50MwaDAQcPHjR3nx0/fhyOjo7o37+/ufssLCzM1sUEYFyYm5KSUmMc5/jx48jOzgZg3JaoU6dONWasde3aVZE3TPaK4dJIxcXFtbq0Ll68aO4Tbt26da0Q8ff3t3lr5EYVFRU1uru0Wi1atWplnt0VGhqquDLX5ciRIxgyZAg8PDywfft2tG/f3tZFqjchBP71r39h6dKlGD16NGbPnm0XM6TS09PNQbNr1y5UV1ejS5cu5qDp1auX4t47+fn5OHHiRI2utZMnT5qPvvb396+1Lic6OprHFzQCw+U2dDodsrOza83UKioqAmDc2vzGbeJDQ0PrvTGjLVy5csXcOrl48SIA45kgpkBp27atjUvYMDt37sTIkSMRHR2NTZs22V35TdavX48PPvgAAwYMwLvvvmtXOxWXlJRg+/bt5u6z/Px8tGnTBg8//DDi4+Px4IMPKnYdi16vR2pqaq3FoJmZmQCMPQ4dO3asteWNtaeS2xuGy/8RQtTYJt4UJtdvzNi2bdtarRE/Pz/F32Xq9XpkZmaaA6WoqAiOjo41uruUHIa3smbNGowZMwYDBgzADz/8oNgvsPravXs35syZgy5dumDhwoV2eT16vR4HDhwwt2pOnToFJycn3H///eZWjaW33ZFDUVFRrUPaTpw4gYqKCgDG74MbD2m74447ZN0Hz561yHCprq5GVlZWrW4t08aMLi4udW4Tr+Txhhtdu3atRndXVVUVPD09a3R32fuA5uLFi/Hiiy/i73//O1asWGFXd/q3cvToUbz00kvw8/PD559/bvcHfKWlpZlnn+3evRs6nQ7du3c3B81dd92l+Bs0E4PBgAsXLtTYXy05ORkXLlwAYDy+IDo6ulbXmr+/v2LH0iylWYeLEAIFBQW1BtgvXboEg8EAAOaNGa/v1mrbtq1dvhHy8/PNJzNevHgRQggEBASYA6W5NOOFEHjjjTfwwQcf4KWXXsKCBQvs5supvtLS0jBjxgyo1Wp88cUXCAkJsXWRZFFcXIytW7ciMTERmzdvRmFhIfz8/DBs2DDEx8dj4MCBdtmKLikpMW/sef14TllZGQDA19e31pY3HTt2tPl6MEtqNuFSVVVVozViChPTxoymbeKvX4AYEhJi12dTGAwGZGVlISUlBefOnUNhYSHUanWN7i577Fa5FZ1Oh+eeew4rVqzAggULMGvWLFsXyWJyc3PxwgsvoLCwEJ999plFjgawJZ1Oh3379pm7z86ePQsXFxc88MADiI+Px8MPP4zAwEBbF7PRDAaDeWPP62etpaWlmTf2jIyMrHVIW3BwsF3e3N7I7sJFCIGrV6/WGmDPyckxb8zo7+9fa4C9devWzeIXVllZibS0NJw7dw7nz59HZWUlPDw8zK2TsLAwu+/uupmKigo8/vjj2Lp1K1asWIGxY8faukgWV1xcjH/84x9ISUnBxx9/jN69e9u6SBaTkpJiDpq9e/dCr9cjJibG3H0WExPTLD7D5eXlNVo5pv+aTm/18vKqtS6nU6dOdteis4twSUlJwa5du8xBYtqYUaPR1NoKRc5t4pXk0KFDOHPmDLKysiCEgJ+fnzlQ/P39bV08i8vPz0d8fDySk5Oxbt06DB482NZFsprKykrMmTMH+/btw1tvvYWhQ4faukgWV1hYaO4+27JlC4qKihAQEICHH34YL7zwQrNrxQkhkJWVVWvLm5SUFBgMBkiShA4dOqBbt26488478dprryk+aO0iXK5evYqLFy/Czc0Nbm5u0Gg0cHNzg5OTk+IrWC7Hjh2DJEnw9fVF69atm2WA3ooQwtwybSm/8+sJIcxjhUFBQS2qDkxfUab/tqT3gOl9f/0fAHax7sZi4WIHmWVmiTdqS79+QP46MIWLJbAO+Dmwl/eAJclZBxbrnE9OTsbp06cVt0LXRAgBb29vDBw40CLPf+HCBWRlZSl2FpMQAh4eHhbdImXHjh3Yu3evYseATLPpJk2aZLHX+PPPP3H06FFFfw7atGljsX3NduzYgd9//13R12/p98Avv/yCP/74AyqVSpEtLlMdTJw4UdbntdinPjc3F3FxcYrbq+fq1av49ddf0bNnTxw5csRir1NYWIhOnTrVe98w05GxeXl5aN++vcXrTa/XY//+/RZ9jbS0NAwdOhRr165FbGws+vbtq6ipl1VVVfjoo48s+hrZ2dkYNGiQRaeBCyGQmpqKpKQkREREoEePHvW+qamursZ//vMfi5UtLS0NDz74IDZu3IiwsDBER0cjPDwc3t7eirjxssZ74Pz58xgxYgSWLl2Kp556Ct27d1dUyFRVVWHBggWyP69FbyldXFwU9WUihMCpU6ewadMmuLm5WfwX7OTkVK+xESEEDh48aF5g9tdff2H06NEIDAy0WBl1Op1V3uCZmZlYvHgxvvjiC/Tv3x+LFi1CdHS0Ij5cjo6OVvmCc3V1tdhMHyEEDhw4gLlz56KkpAROTk6YPHkyxowZU69rq6qqsngd5OXlYeHChTAYDHB2dka7du3Qq1cvjBw5EgMHDkSbNm1s9n6w1nvg0KFD+Oabb7B+/Xq8/fbbmDhxomIW/VqqDmx/6wDjB6SiogJXrlyBVqu1WB+lEAKHDh2Cg4ODYnbMNR3/umfPHjg7O6NXr16orKzE1q1bzVvy27OoqCh888036N+/P3bu3InBgwfjzz//tKt+aCUrKCjABx98gMrKSowfPx6enp5Yvnw5jhw5opg6bt++Pb777ju88847GDJkCBwcHLB+/XqMHTsW99xzD+bOnYvMzEzFlNcS+vbti4ULF0KSJLz00kt48cUXUVxc3Kyv2ebhIoTAX3/9hTfffBOzZ8/Ghx9+iNzcXItUenl5OdLS0uDj46OYxVkGg8HcYhk4cCDuv/9+REdHIy8vD2fOnLH7N5+Pjw+eeOIJbNiwAW+++SZycnLw6KOPIjk52e6vzdaEEFizZg1yc3Pxt7/9DVOmTMErr7wCnU6HhIQExdyc+Pr64oknnsDcuXOxbt06HDp0CFu2bMGzzz6LyspKvP/++4iNjcWnn36K0tLSZvm+cHV1xZQpU7Bx40Z06tQJK1aswN///nfz+rzmyKbhIoRAcnIyFi1ahMuXL6N169Y4ceIEPvvsM/PmcHJKT09HeXk5OnXqpJipfDk5OcjKykJAQADuuOMOqFQqxMbGwsHBAX/99Zd5mxp7JkkSXF1d8eabb2Lu3LnIzc3Fk08+iezs7Gb7wbKG4uJibNiwAV5eXhg7dixUKhXuu+8+3HXXXTh16hQOHTqkqPqVJAkqlQo+Pj544IEH8OWXX+LAgQOYM2cOqqqqMHv2bMTHx+P48eOKKrdcJElCTEwMEhMTMWjQIPzyyy8YOXIkzp492yyv16bhUlJSguXLl0Ov12Pq1KmYN28eYmNjcf78eWzbtk3WChdCmLsKevbsKdvzNoUQAocPH4bBYMA999xj7vds06YNAgMDkZeXh7y8PBuXUj5qtRqvvvoqpk6dirNnz2LChAnm7XmoYYQQ2LVrFwoKCvDQQw/B19cXgPF47HHjxgEAVq1apeibE5VKhdDQUMybNw+7d+9GfHw8/vjjDwwaNAhr1qwx70benJh2EPn+++8xbtw4JCcnY/jw4fjjjz+aXcDYLFyEEPj5559x+fJlDBw4ELGxsXB1dcVTTz0FjUaDrVu3mjd9k4PBYMDx48fh7OyMqKgo2Z63KSoqKpCWlgZPT0+0b9/ePKgpSRK6desGg8GAkydPNqs3naOjI95//30MGjQIv/76K+bOnWs+YI3qT6/XIzExEY6Ojhg+fHiN90737t0RHh6Oo0ePmk9eVDJJktCxY0esWrUKH330ESoqKvDMM8/gn//8Z7N8b0iSBE9PTyxevBivvvoqsrOzMXr0aHz33Xf1vl4hBPR6PfR6fY3FlUpis3AxTQn29vbGI488Yr5rb926Nfr06YPCwkIcOHBAtkorKipCTk4O/P394eXlJctzNoUQAmlpaaisrMQdd9xRY+aIJEkIDw+Hk5MTUlJSmt0dnEajwfLlyxEREYGEhAR8++23ivxwKFl2djbOnj2LDh061Dp109HREcOGDUNVVRV++eUXu6hbSZLg4uKCmTNnYs2aNfDy8sIbb7yB+fPnK2bsSG4uLi6YO3cuFi1aBL1ejylTpuDFF1/EpUuXav3OhBAwGAzIzc3F+vXrMWvWLIwaNQrDhg3DlClTsGXLFlRWVirqd22TcBFCYPv27SgvL8fgwYPRqlUr879JkoQHH3wQjo6O+PXXX2X7Yk1LS0NVVRW6dOmiiPn1AHDy5EmoVCp07ty51lRMjUaDgIAAFBcXIz8/30YltAxJkhAYGIivv/4aGo0GL7/8MmeQNYAQAnv37oVWq8WgQYNqLVCUJAkDBgyAq6srtm/fbldfziqVCg899BA2bNiAwMBAvPfee/jggw+aZQsGMHYVT5gwAT/++CMiIyOxfPly9O/fHx9//DGOHz+O7OxsnD59GqtWrcK4ceNw77334oknnsAXX3yBPXv2mKc4jx49Gk8++aT5qA0lsMm3bFlZGXbt2gUPDw8MGDCg1hdrYGAg2rdvb97tuKlMEwcAoFu3bopYY1FeXo7s7Gx4eXnd9DCo6OhoGAwG8xbdzYkkSejduzcWLFiAsrIyPP30081+OqpcDAYDfvvtNzg5OaFPnz51vp/btWuHzp07IyMjA+fPn7dBKRtPkiTcdddd+PHHHxEQEID33nsPS5YsUfT4UVNIkoT77rsP27ZtM09Rnjt3rnlyRmxsLMaPH48ffvgBzs7OeOaZZ7Bq1Srs27cPf/75J9asWYPevXtj8+bNGD16tGJmoFk9XExrTYqKitC7d+86u6hUKhX69OkDnU4nS9eYwWDA6dOn4eLigrCwsCY9l1wyMjKg1WoRERFR59YYkiQhLCwMDg4OSE1NtUEJLU+SJIwfPx4zZsxAamoqxo0bh8LCQkV8MJTs6tWrSElJQWho6E2n1JtaAHq9Hr/99pvd1akkSbjzzjuxatUqeHl54fXXX8ePP/5od9dRX5IkoV27dvjoo4+wZ88e/L//9//Qr18/dOjQAbGxsXjppZewYcMG7N+/H0uWLMHIkSPRqVMnRERE4OGHH8b69esxZswYHD16FNOmTUNVVZWtL8n64WIwGPDLL79ArVZj4MCBdd51mabsOTk54eDBg03uGisqKsLly5fh7+9f7+1YLEkIgbNnz0KSJERFRd20JeXl5QUvLy/k5eVZZGq2EqjVasybNw8jRozA3r17MWXKlGZ7rXI5fPgwKisrERcXd9M9uyRJwj333ANXV1fs2bPHLruVJEnCvffeixUrVkClUmHKlCmKm14tN5VKhejoaLz22mv46aefsHPnTvz888/mSTA+Pj61doWWJAkeHh747LPPEBcXhy1btuA///mPzevJ6uFy8eJFXLhwAeHh4bc8utXX1xehoaHIzs7GlStXmvSapjPkO3bsqIjxFq1Wi6ysLGg0mlvuOWWaqqnVapGbm2vFElqXq6srli1bhri4OPzwww+YNWuWIu68lEgIgT179pjXtNyqi7dNmzaIjo5GZmYmLl68aMVSykeSJAwdOhQff/wxSkpKMG7cuBaxPkqSJDg4OMDJyQkODg716sp3d3fHF198AQ8PD8yfPx+XLl2yQklvzqrftKYPhk6nw/3333/LL3qVSoW7774b1dXVOHbsWKPfTEIIHD9+HIByxltMLZHg4OBb7i9kmjUGGAOyuX6gTOfU/Pe//0WXLl2wfPlyzJ07164Goq2loqICycnJ8PHxQYcOHW75WJVKhf79+6O6utqu11FIkoRJkybh+eefR0pKCiZPnmw+MJD+xzSle/r06bh8+TIWLlxo09+5VcOlqqoK+/fvh0ajQc+ePW/5RS9JEnr06GFeqd7YSjKNtzg7O9easmkLph1shRCIjIy8bdj5+/vD0dERGRkZdvvlUB+SJCEoKAhr1qxBeHg4Pv30U7z33nt22Z1jSefPn0dBQQG6du0KNze3Wz5WkiTExsbC0dERe/bssesBcbVajfnz52PAgAHYtm0b3nvvPbu+HkuRJAnTpk1DUFAQvvnmG1y4cMFmZbFquJw7dw5Xr15Fly5dakw/vhl/f3+0bt0aqampjV7JXVJSgpycHPj5+dXrNS1NCIHz58/D0dHxlt2CJhqNBj4+PigsLGz2q9lNY1Br165FYGAg3n//fXzyyScMmP8jhMCff/4Jg8GAuLi4ev1MYGAggoODce7cObuf0q7RaPDVV18hJCQE//znP/Hzzz836xuuxvL19cW0adNQUlKChIQEm9WR1cLF1CUGAP37969X95STkxM6deqEioqKRk+nvHDhgqLGW0pLS5Gfnw9fX1+4u7vf9vGSJCEkJATV1dWyTMtWOtPuBGvXrkXbtm3x9ttv4/PPP292C0kbw2Aw4MCBA3ByckKPHj3q9RlSq9WIi4tDRUUFkpKS7PrLWJIkhIaGYunSpVCpVJg+fXqznKbfVJIk4emnn4afnx/++9//2my81mrftuXl5Th69Ci8vLzQsWPHev2MJEno2bMnhBCN+mBcP97SpUsXm4+3CCGQlZUFnU6H8PDwepVHkiRzd96FCxdaxAfJtM5hzZo18PHxwRtvvIEvvviixQdMcXEx0tLS4O/vDz8/v3r9jCRJ6Nu3L1QqFXbt2mXZAlqBJEkYOHAgXn31VeTk5HB24U34+vri6aefRn5+Pr7//nubfG9YJVyEEDh58iRKSkrQo0eP2/YVXy8qKgouLi44fvx4g79cDAYDTp06BScnp9sOflpLamoqJElChw4d6h12fn5+cHR0RFZWVosIF+B/iyxXr14NLy8vvPrqq1iyZEmLDpgzZ86gvLwcMTExDTo6OjIyEr6+vjhy5Eiz6FpVqVSYPXs2HnroIfz222/48MMPOf5yA0mSMGHCBLi7u+Prr7+2SQBbLVx2794NwHhoTkNaEJ6enggKCkJubm6D+4xLS0uRk5ODdu3aKWI/serqamRlZcHV1fWmq/Lr4ubmJsu4i2l/InsJKEmS0KdPH6xatQqtWrXCK6+8gi+//LJFBowQAvv27QMAxMbGNugz5OrqirvuugtFRUU4deqUpYpoVS4uLliyZAmCgoKwcOFC7Nixw27e19YSGhqKQYMGITU11SYLaa0SLsXFxTh16hTatm2LiIiIBv2sSqVC9+7dUV1djTNnzjToZ9PT03Ht2jV07NjxpovNrCk/Px9lZWUICAio1/HHJpIkITg4GNXV1Y3uP62qqsLevXuxcuVK7Nu3z26m+UqShH79+mHVqlXw8PDA7NmzW2TA6PV6HD58GG5ubujcuXODfta015gQAjt37mwWX8Km8ZcvvvgCQghMnTpVUftqKYFp4alKpcKyZcuaX7iYzlEpLy/HPffc0+Bzo03bQEiS1KBxF6WtbzHNEhNCNDhgTVvBAMbAbOibRKfTYfPmzfj999+RnZ2N3bt3Y//+/XbzQZQkCf3798eqVavg6emJ2bNnt7gusry8PGRlZaF9+/bw9vZu8M/feeed8PT0xP79+5vNAlVJkjBs2DC8+OKLyMjIwPTp05vNtcnl3nvvRXR0NPbs2WP1PeYsHi6mY3wdHBxuu6L4ZoKDg+Hh4YGzZ89Cq9XW+3VPnDihmPEW0/oWBwcHhIWFNbgeTOtdGrq5oxACx44dw5kzZxAQEIAnn3wSERER6Nixo80DtyFMd98rV66Ep6cnXnnllRY1yJ+cnAytVotevXo1atajp6cnunXrhsuXLzervepUKhXefPNNxMXFYdOmTVi0aJHd3DRZg7OzM8aNG4eKigqsXLnSqnVj8XDJy8tDamoqgoKCEBQU1KjncHNzQ4cOHVBYWFjvLQ1KSkpw6dIl+Pn5KWK8paKiAnl5efD29m7UehuNRgNvb28UFBQ0aHCuoqICf/zxBxwdHTF06FAEBQXhb3/7W4PGfJTCFDCmMZhXX33VLqYpCyGQnp7e6MPvhBD4448/zHttNeamwDTLyrS3X3P6AtZoNFi2bBnatGmDefPmYc+ePc3q+ppCkiSMHj0aHh4eWLVqFSorK6322hYPl99//x1arRb9+vVr0AyXG8XExJhPk6zPGyc1NRWVlZXo3LmzIsZbsrKyUF1djfbt2zfqzrMx4y6mLsmysjLceeedaNOmjXnPIntl6iJbvXo1vL29MWfOHMWfWJiUlITnnnsO//rXvxo1q6mqqgrHjh1Dq1atGtylamLayNLd3R27d+9uVt1HkiQhOjoan332GbRaLSZPnqyYbeeVICgoCP3790daWhoOHDhgtde1aLhotVrs3bsXLi4ujb7jAoxvHlNI1GfcRQiBo0ePAoB5vMaWTLsgA6jXli91acx6l8rKShw5cgTOzs7o1auXzetBLqa1G+vWrYOvry/efPNNfPjhh4qdpBAWFgZnZ2f88MMPOHPmTIO/9DIyMpCXl4dOnTrVa+HtzXh7eyMmJgY5OTk4ffp0o59HiUx36FOnTkVKSopitp1XAkmS8Mwzz0AIgX//+99WC12LhktqaiouX76Mrl27wtfXt0nP5efnh7Zt29are0Gn0+HEiRNwdXVVxHiLVqtFZmYmNBoN/P39G/08DdlnTAiBc+fOobS0FJ06dYKHh0ejX1eJTPtm/fDDD2jXrh3effddxR6J6+vri+effx5arRaLFy9uUCtLCIEDBw7AYDCgT58+TSqHJEl4+OGHIYRollunODg44N1330VcXBwSExPx6aefcv0L/jfjMigoCNu2bWvyLvP1ZdFwCQkJwbPPPosRI0Y0+a5ZrVajS5cuKC8vR0pKyi0fe+XKFeTl5SE0NFQRX6o5OTkoKytDaGhog2fLXU+j0cDX1xeFhYW3DViDwYDDhw/DwcHhtpuE2itTV8+PP/5o3ovsrbfeUuQd6/33348ePXrgyJEj2Lt3b72/2A0GA37//Xc4OjrirrvuatLv0bTzQZs2bbB3716732usLh4eHvjqq6/Qtm1bvPfee81ufKmx3N3dMWrUKBQUFGDLli1WqROLhou7uzsGDhx4ywOx6kuSJNx9992QJOmWBwaZjjTW6XSIiYmx+ZeqEMK8cK2pM7RMU5JNizFvJScnB3l5eQgMDETr1q0b/ZpKZ9oiaP369QgLC8OCBQvw2muvWXXgsj4cHR0xdepUqNVqLF26tN6TMgoKCpCSkoKgoCAEBAQ0uRwajQZDhw5FSUkJfv755yY/n9KYNj9NSEiAXq/H5MmTGzV9v7mRJAljxoyBo6Mj/vOf/1ilRWfxAf0bT01rioiICGg0GvO0zLoIIXDw4EE4ODjUe3M/S9JqtUhLS4Obm1u9dkG+FdO2MQDM2/bXxbQXm8FgaLatluuZNrvcsGEDoqKisHjxYsycOVNRe06Zxg379++P9PR0bNq0qV5dm4cPH0ZFRQXi4uKaNCHm+nI88sgj8PT0xNq1a3H16tUmP6fSSJKEESNG4OWXX0ZWVhYmTZrULLa9aarOnTujS5cuOHTo0G17f+Rg+22CG8Dd3R3R0dHIz89HZmZmnY8pKSlBWloa2rZtK8udXlNlZGSgtLQU4eHhcHFxafLztWvXDm5ubsjMzLzp+EJZWRlSUlLg6elZ7w0y7Z3poKT169ebDxx7/vnnUVZWppi7VgcHBzz77LNwdXXFN998g6Kiols+XgiBHTt2mA/9kuv32K5dO4waNQr5+flYu3atLM+pNCqVCnPmzDHvP/bOO+8ofsq6panVaowZMwZVVVVYs2aNxT8XdhUuANC7d28YDIY6V5ibVuVXVFSgZ8+ecHR0tFEpjQwGA5KSkiBJErp37y7Ll4OzszOCgoJQVlaGy5cv1/p3UzdcVVUVunTp0qQxHnsjSRIiIyOxfv169OzZE99++y0mTJiA4uJixQRMaGgohg8fjry8PKxevfqW5SosLMTRo0fh5+eHqKgo2cogSRKeeuopjB07FqNGjZLteZXG1dUVS5cuRXh4OBYvXmz1RYRKI0kSRo4cCQ8PD6xevdriXcd2FS6m7g83NzccPHiwVtfY9eeL9+7d2+Z37FevXkVGRgbatGmDwMBA2Z63Y8eOEELUOa1Vp9PhyJEjcHR0VMS2N9Zm2nPqp59+Ms8mGzt2LAoKChTxxWLq+/b29sa6detuera9EAL79+9HaWkp+vXr16C96OqjVatWmD59er237rdHptNNV6xYARcXF8ycOdPuz7RpqsDAQPOal4MHD1r0tewqXADjh6Jz587Iy8vDuXPnarxRrly5gtOnT8Pf39+8F5ctOTg4IDw8HPfcc49sCxdNg/rOzs44d+5cja4xIQTS0tJQUFCA8PDwRu1B1RxIkoSAgACsW7cODzzwADZt2oTHH38cly9fVsQXS5s2bTBu3DiUlpbiyy+/rHNqsl6vx4YNG6BWqzFkyBDZbxLkHAtVMkmScN999+GDDz5AcXExxo8fj7y8PEW8D2xBkiSMHz8eQgisWLHCovVgd+EiSRIeeOABAMC2bdvMlSOEwK5du1BVVYV+/frZvEsMMK5v+Nvf/obOnTvL+kF2c3NDWFgYSkpKapzxotfrceDAAahUKtxzzz0t4svjZiRJQtu2bbFq1SrEx8fjt99+wyOPPKKIM3EkScKoUaMQERGBXbt24ffff69RJlOr9OTJk7jjjjsavSqfjCRJwqRJkzBhwgScPHkSU6dOVeR0dWsw7XARFBSErVu3Ii8vz2KvZZfh0rlzZ/j7++Po0aPIzs6GEAIlJSX49ddfodFoGnxmjCWpVCqLHK8cExMDAOZp2aZdAHJychAaGqqIyQy2JkkSvL298c033+Cxxx7Dn3/+iZEjRyriaFxXV1f84x//gEqlwsKFC3Hp0qUaNwkrVqyAXq/Hk08+adfb9SiFo6MjPv74Y8TFxWHDhg0t+oAxd3d3PProoygsLMSGDRss9jp2Fy6AcVA7Pj4eWq0W33//PSorK7Fu3ToUFhZiwIAB8PHxsXURLcq0z1i7du2Qnp6OCxcuoLi4GLt27YKDg4OiwtXWJElCq1at8NVXX2HChAlITk7G8OHDcfLkSZuXKyYmBk899RTy8vIwd+5c5OTkQK/XY+PGjdi3bx86duyIPn368HcpE09PT3z99dcICgrCRx99hB9++MHWRbIJSZIwbtw4ODs741//+pfFdrVo+sR5GzD1o+7atQtJSUmYN28ezp8/Dz8/P1l2A7AHDg4O6NevH9atW4eNGzfC2dkZxcXFuPfeexEQENAi6qAhNBoNFi1aBI1Gg4SEBIwYMQLffvutTcukUqnwzDPPIDs7Gzt27MCUKVPQoUMH/PXXX9BoNJg1a5bsA/ktmWmd2FdffYVHHnkE06ZNa/LaM3sVHR2Ne++9F3/88QcOHz5skdewy5YLYGy9TJs2DeHh4UhPT4efnx9eeOGFRm1nb49MG1n27dsXer0eZWVl6NGjB+90b8HV1RUff/wxXn31VWRnZ2PLli22LhJcXFwwZ84cjB07FlVVVTh06BD8/f0xb9482cfq6H9HD8yfPx8lJSX46aefbN5FagsqlQrPPfccJEnC9u3bLfIaFm25ZGdnW3yV9Pjx43HlyhX4+PjAycnpposrb6TT6Sy+qCo/P9/iA4fh4eHw9fWFwWCAl5cXCgsL6/Vzer3e4tdvGpguLi626Os01COPPAIXFxcMGDDA4l0j9T3LZdCgQYiJiUFxcTH8/Pzg7u5ulUO9qqurLXpcgVLfA3369MGbb75ptffA2bNnUVJSYtHXaajg4GB88MEH6NGjh0XGXiRhodjOyMjA+fPnFX3n5evriy5dulikjHl5eY0+795aPD09ERoaarHf0fHjx3H48GFFvweCg4MxYMAAi5UxNTUVZ86cschzy6Vdu3ZN3hTzZvgeAE6cOGFeTK1UpjNf5CyjxcKFiIhaLrsdcyEiIuWyi3AxDVi35I3n9Ho9SktLW2wdmNbytOSGtsFgwLVr11rs+gyA7wMhBAwGg11cv12ES0ZGBsaPH4+MjAxbF8Vmrly5gkWLFlntFDmlOXLkCFQqFY4cOWLrotjMuXPn0LdvX5w7d87WRbGZlv4+OHr0KJydnc3HuCuZXYQLERHZF4YLERHJjuFCRESyY7gQEZHsGC5ERCQ7hgsREcmO4UJERLJjuBARkewYLkREJDuGCxERyY7hQkREsmO4EBGR7BguREQkO4YLERHJjuFCRESyY7gQEZHsGC5ERCQ7hgsREcmO4UJERLJjuBARkewYLkREJDuGCxERyU8o2OHDh8WECRNEq1athCRJolWrVmLChAni8OHDti6a1ZjqwMvLS6hUKuHl5dWi6sB0/Z6engKA8PT0bFHXLwQ/B0LwfWCP16/IcKmurhaTJ08WAIRarRYAzH9Mf588ebKorq62dVEtpqXXQUu/fiFYB0KwDuz5+hUZLpMnTxaSJNWoyBv/SJIkJk+ebOuiWkxLr4OWfv1CsA6EYB3Y8/UrLlwOHz58y4q88Y+Sm4WN1dLroKVfvxCsAyFYB/Z+/Yob0E9ISIBara7XY9VqNZYsWWLhEllfS6+Dln79AOsAYB3Y+/VLQghh60Jcz9fXFwUFBfV+vI+PD/Lz8y1YIutr6XXQ0q8fYB0ArAN7v37FhYuTkxOqq6vr/XhHR0dotVoLlsj6WnodtPTrB1gHAOvA3q9fcd1iHh4eFn28PWjpddDSrx9gHQCsA3u/fsWFy8iRIxvUzzhq1CgLl8j6WnodtPTrB1gHAOvA7q/ftvMJarP3GRJyaOl10NKvXwjWgRCsA3u/fsWFixD2PbdbLi29Dlr69QvBOhCCdWDP16/IcLHnValyael10NKvXwjWgRCsA3u+fkWGi8nhw4fFxIkThY+Pj3B0dBQ+Pj5i4sSJimv+WVJLr4OWfv1CsA6EYB3Y4/UrbioyERHZP8XNFiMiIvvHcCEiItkxXIiISHYMFyIikh3DhYiIZMdwISIi2TFciIhIdgwXIiKSHcOFiIhkx3AhIiLZMVyIiEh2DBciIpIdw4WIiGTHcCEiItkxXIiISHYMFyIikt3/B7EyRj+rvI07AAAAAElFTkSuQmCC\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model(dataset['train_input'])\n", - "model.plot(beta=10)" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "id": "aa26622b", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 1.82e-01 | test loss: 1.80e-01 | reg: 3.61e+01 : 100%|██| 50/50 [00:14<00:00, 3.37it/s]\n" - ] - } - ], - "source": [ - "model.fit(dataset, opt=\"LBFGS\", steps=50, lamb=0.002, lamb_entropy=10.0, lamb_coef=1.0);" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "id": "9d162e40", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.plot(in_vars=[r'$x_{}$'.format(i) for i in range(1,7)])" - ] - }, - { - "cell_type": "markdown", - "id": "b239996d", - "metadata": {}, - "source": [ - "This gives the dependence among $(x_4,x_5)$. Another random seed can give dependence among $(x_1,x_2,x_3)$." - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "id": "e3c31cf5", - "metadata": {}, - "outputs": [], - "source": [ - "seed = 6\n", - "model = KAN(width=[6,1,1], grid=3, k=3, seed=seed)\n", - "dataset = create_dataset()" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "id": "e1d5046a", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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MFyIikh3DhYiIZMdwISIi2TFciIhIdgwXIiKSHcOFiIhkx3AhIiLZMVyIiEh2DBciIpIdw4WIiGSnNHQBRMYuNTUVp0+fRmRkJAAgIiICNjY2cHNzg0qlMnB1RMZJSJIkGboIImP0+PFjhIaGIigoCOnp6XBxcYGtrS1SU1ORkpKCZs2aYdq0aXj33XcNXSqR0WG4ED1Heno6Ro4ciQMHDmDUqFHw9fVFfn4+CgoKtAETFBSEAwcOYMmSJfjkk08ghDB02URGg+FC9Iz8/HyMHTsWu3btwvr169GyZUtkZ2ejbdu2uHjxIj777DMsWrQIeXl5CAkJwcKFC7F582Y0bdrU0KUTGQ0+0Cd6xtGjRxEWFoZFixahVatWsLKygiRJePToER4+fIjs7GwAgLW1NYYOHQpvb29Mnz4dOTk5Bq6cyHgwXIieIkkS1qxZg/feew/dunV7ZVeXSqXCqFGjEBcXh7Nnz+qpSiLjx9FiRE959OgRTpw4AT8/P0RGRuLmzZsAgNzcXKSmpgIAzp8/j+XLlwMAhBDo3Lkz6tati7///ptdY0T/j+FC9JTMzEykpaWhatWqCAoKwt69e4t85vDhwzh8+DAAQKFQICIiAlWrVkVSUpK+yyUyWgwXIjwJlXPnzuHo0aPIzMxETk4O7O3tUbp0ae1nMjIyoFarYWNjg+LFiwN4Ei5KpRLZ2dl49OgRbt26BScnJ44cI4vHcCGLolarkZiYiLNnz+Ls2bOIiYnB2bNnceXKFe1nhBCIiYlBUFCQ9uF9VlYWPD09kZCQgN69e2P27Nnaz9vZ2WHy5Mm4cuUKTp48iVKlSsHNzQ1ubm6oXbs23NzcUKtWLZQoUULv20tkKAwXMlsPHjzQhojmT2xsLDIzMwEAZcqUgZOTE1QqFUqUKIFHjx7B0dERTk5OCA8Px8SJE+Hi4gLgybMYzWx8Ozs7ODs7QwgBSZJw8OBBxMfH4+HDh0hPT4erqyusra2RlJSEzZs3Q61WAwCqVKmiDRtN8FSpUgVWVhxXQ+aH4UImr6CgAFeuXCl0J3L27Flcu3YNAKBUKlG3bl00atQIH374IdLT03H+/Hn8/fffSE1NxTvvvIPx48fD09MT7733Hm7cuIGWLVvi22+/xZw5c2Btbf3c75UkCffv38eMGTMwbNgwTJo0CXv27EF4eDj27NmDBw8eoEqVKvjggw/g5uYGGxsbJCYmYuPGjUhLSwMAFCtWrMhdjpubG+zt7fXVfEQ6wUmUZFLS0tIK3YnExMTg3LlzyMrKAgA4OjqiYcOGaNiwIRo1agR3d3ekp6drT/oXLlyAtbU12rdvD09PT3h4eGjvTjR27NiB3r17Q6FQYPz48Zg4cSKsra3Rs2dPXL58Gf369cNXX32FxMREjB49Gn///TdOnToFV1dX7c/Izc3FkSNHEB4ejvDwcFy9ehUlSpRAhw4d4OnpiRYtWiA9PR2XLl3CpUuXEB8fjytXriA/Px8AUKlSJW3YaP5btWpV3uWQyWC4kFHKz89HQkJCoTuRs2fPaocGW1tbw93dXRskmj8VKlTAgwcPEBkZifDwcOzatQspKSmoUKECunXrBk9PT3To0AF2dnbP/d5Vq1Zh+PDh8Pb2RpcuXTBjxgw4OTmhf//+qFevHooXL460tDQcO3YMYWFhqFixIuLi4lC3bl1s27YN5cuXL/IzJUnChQsXsGPHDoSHh+Ovv/4CADRr1gyenp7w9PREgwYNUFBQgMTERG3YxMfH49KlS0hOTgYA2NjYoGbNmtrAqV27NmrVqgUHBwfd/BKI3gLDhQzu/v37RR6wnz9/XjvjvXLlyto7EU2IPLsi8bVr17R3CQcPHkReXh4aNGigPXk3a9bspVf9kiRhzpw5mDFjBoYPH44lS5ZAoVAgISEBISEh2LNnD+7fvw/gSbDVrVsXgwYNwieffIL4+Hh4eXnB3t4eO3fuRLVq1V66vcnJyYiIiEB4eDj27t2LzMxMVK1aVVtrmzZtYGNjo/18WlpaobCJj4/H5cuXkZubCwCoUKGCNmw03Wqurq5QKtnrTYbDcCG9ycvLw8WLF4t0a92+fRvAk+cP9evXL9St1aBBA5QtW7bIzyooKMCJEye0gXLu3DmoVCq0a9dO2931dDfVyxQUFGDMmDH44Ycf8PXXX+OLL74oMpQ4MzMTKSkpyMvLg729PcqWLVvo5J2YmAgPDw88fPgQ4eHhaNSo0Wt9d05ODg4dOqTdjuvXr8POzg6dOnWCp6cnunbt+ty7oYKCAly/fl0bNpr/3rlzB8CTlQM0dzmaP3Xq1Ck0tJpIlxgupBN3794t8oA9Li4OeXl5AAAXF5dCdyINGzZErVq1oFAoXvgzMzMzC3V3JScno1y5ctruro4dO/7rB+HZ2dkYOHAgtm3bhuXLl8PPz++Ntzk5ORmffPIJEhISsGXLFrRp0+Zf/f+SJOHcuXPaoDl+/DgAoEWLFtq7mnr16r10Dk1GRgYSEhIKhU5CQoL2LrBcuXKFwsbNzQ3VqlXje2lIdgwXeis5OTm4cOFCkW6te/fuAQCKFy+OBg0aFOrWatCgwWs/J7hx4wZ27tyJ8PBwHDhwALm5uahXr572ZNu8efOXBtLLZGRkwMfHBydOnEBYWBg8PT3f6Oc87eHDh+jTpw+OHDmC0NBQ9OjR441/1t27d7Fr1y6Eh4cjMjISjx8/RrVq1bTb/uGHH75wJNvT1Go1bty4UegOJz4+Hrdu3QLwZCJo9erVi3StlStXjpNB6Y0xXOi1SJKEf/75p8i8kYsXL2pHOFWvXr3QnUijRo1QvXr1fzXCSa1W49SpU9qr95iYGCiVSrRp00Z7Uq1evfpbb88///yDbt26ISkpCdu3b0fLli3f+mdq5ObmIiAgAL/88gsWL16MYcOGvfXPzM7Oxh9//KFtl6SkJJQsWRKdO3eGp6cnunTp8tzuw5fJzMzUBs3TwaMZeVe6dOlCYePm5oYaNWoUeh5E9CIMFyoiKysLcXFxRUZqpaSkAADs7e2LjNKqX78+SpYs+Ubf9+jRI/z+++/a7q47d+6gTJky6Nq1Kzw9PdGpUyeUKlVKtu27dOkSunbtioKCAkRERKBevXqy/WwNtVqNqVOnIjAwEFOmTMH06dNluwuQJAkxMTHaoDl58iSsrKzQqlUrbQDXrl37jb5PrVbj1q1bhcLm0qVL2lF6VlZWqFatWqG5ObVr10aFChV4l0OFMFwsmCRJuHnzZpEurfj4eKjVagghULNmzSIjteSYb5GUlFSouys7Oxu1a9eGl5eXdh6ILkY7nTx5Eh4eHqhQoQIiIiLg7Ows+3c8bcmSJZg6dSoGDRqEoKAgnWzT7du3td1n+/btQ1ZWFmrWrKkNmg8++OCtn6k8fvwYCQkJRbrWNKsdlCxZslDYuLm5oWbNmihWrJgcm0gmiOFiIR49eoRz584V6dZKT08HADg4OBTp0nJ3d5dtPSy1Wo3o6Gjt1fbp06ehUCjQunVr7UmwVq1asnzXi+zZswe9e/dGw4YNsWPHDpQpU0an36exYcMGBAQEoFOnTli/fr120UtdyMrKwv79+xEeHo6dO3fin3/+gYODQ6HuM7lGjEmShNu3bxeZl3P9+nVIkgQrKyu4uLgUWfKmUqVKvMuxAAwXM6NWq3H9+vUiI7UuX76sPeDd3NyKjNTSrJUlpxed6Lp06QJPT0907txZb0Nj169fD39/f3Tq1AlhYWE6PcE/T2RkJPr06YMGDRpg69ategk2SZIKBXp0dDQUCgU++OAD7R2iLgI9Ozsbly9f1oaNJnwePHgA4MnabM9b2FPfvxPSLYaLCXv48CFiY2MLdWvFxsbi4cOHAJ4szKgJEc1/69WrB1tbW53VdPv2bW131++//46srCzUqlVLe3fSqlUrvQ57lSQJixYtwpQpUzB48GAsX77cYJMLT548CW9vb5QvXx47d+5ElSpV9Pr9t27d0v5u9u/fr+2K1PxuWrZsqbO2kSQJ9+7dKxQ28fHxSExM1C7s6ezsXGTJm8qVK3PJGxPFcDEBarUaV69eLfKA/erVqwCeLMxYp06dIt1a+uh+kCQJZ86c0V4dnzp1qtDDZS8vL9SuXVunNbyIWq3G5MmTsXTpUnzxxRf4+uuvDd4dk5CQgG7duiE/Px87d+7UyWCC1/Ho0aNCd5WaQRRP31XKOYjiRXJycnDlypUio9Y0C3sWL14ctWrVKhQ6tWrVeuHyPWQ8GC5GJj09XXs3ogmT2NhYPH78GMCTpT6e7dKqW7euXoeHaobF7tixAzt37pRlWKzccnNz4efnh40bN2Lp0qUYMWKEQet52u3bt+Hl5YWbN29i69ataNGihUHredHw7w8//FB7V1OjRg291aNZbfrpsLl06RKuXr2KgoICAE+WBHp2JWkXFxfe5RgRhouBFBQUICEhochSKDdu3ADwZPmOevXqFRmpVbFiRYPU+/SEvn379uHRo0eoXr269uTTunXr15rQpw8PHz5E7969cejQIaxbtw49e/Y0dElFZGRkoGfPnjh58iR++ukneHh4GLokredNXK1bt672Oc3bTFx9G3l5eUhMTER8fDwuXryoDR/Nmm/FihVDrVq1ijzPedMh8vR2GC56kJKSUmSU1rlz57RvOXRycirSpVW7dm2DLskhSRJiY2O1V7MnTpyAEKLQUiR169Y1eDfTs+7duwcPDw8kJCRg69ataNu2raFLeqHs7GwMHjwY27dvR1BQEAYPHmzokorIzMzEvn37tHOQ7t27h3LlymnnIHXs2NHgJ+/U1NRCz3E0C3tqlhpydHQsMky6atWqBglIS8JwkVFeXh7i4+OLjNTSLLNhY2MDd3f3QnciDRo0eO7ChIaQk5ODgwcPavvhX3cRRWNx9epVdO3aFZmZmdi1a9drLx5pSAUFBRg3bhxCQkIwffp0TJkyxegCW0OtVhdaLDQ2NhYqlQpt27bVXnC87mKhupafn49r164V6VrTLEtkbW1d6PUFmrsdLuwpH4bLG7p3716RLq24uDjtMujOzs6F7kQ0CzMa2zLoycnJhdavetXy78bqzJkz6NatG+zt7bF79+5XLntvTCRJwjfffIOZM2di6NChWLx4sUlcVT/vNQf169cv9JoDY9uO9PR07cKeT7++QLOwZ/ny5YvMy6lWrZrRHbemgOHyCrm5ubh48WKRkVqapc1tbW21CzM+/cdYr4AkSUJcXJz2pKB5cdX777+vPSnUr1/faK+en+ePP/5A9+7d4ebmhvDwcFSoUMHQJb2R1atXY+TIkfD29sbq1atNanb7817QVr58eXh4eLzyBW2Gppkb9uySN5pXQSiVStSoUaNI15qhB60YO4bL/5MkCXfu3CmyFMqFCxe0CzO6uroWecBeo0YNo7s6e1Zubi4OHz6sDZTExESUKFECHTt21HZ3GWqgwNvavHkzBg4ciLZt22Lz5s1GewJ7XeHh4RgwYACaNm2KLVu26GU4sNwKCgrw999/a/e3uLi4Qq+W9vT01PmyO3J4+PBhkUU94+Pjtc9Ky5QpU2Ql6erVqxvNwBZDs8hwyc7ORlxcXJFuLc2oEzs7u0J3I40aNUL9+vVN6kBPSUkp9LbDBw8eoEqVKtqDu127diZ1Zfw833//PcaNG4e+ffti1apVZnNQHzt2DN27d4ezszN27NiBSpUqGbqkt3LlyhXt6LNDhw4hPz8fjRo10u6LTZo0MZkhxGq1GklJSUWWvElKSgLwv9cXPL2SdO3atVG+fHmT6g2Qg1mHiyRJuHXrVpEH7JcuXdKOl9cszPh0kLi6uprMzq4hSRIuXbqkfU/7sWPHoFar0bRpU+1B3KhRI7PYwSVJwrRp0zBv3jyMGzcO8+fPN7nf16ucP38enp6eUCqV2LVrl87XXdOXjIwM7NmzB+Hh4YiIiEBaWhocHR21L3z7+OOPZVvPTp8yMzOfu+SNZn6ag4NDkZWkzf31BWYTLo8fP8b58+eLdGtpZvqWLFmySJdW/fr1TbobJS8vD0ePHtV2P1y+fBm2trbo0KEDPD090a1bN5O/6n1Wfn4+hg0bhtDQUMyfPx8TJkwwdEk6c/PmTXh6eiI5ORnbtm1D06ZNDV2SrPLz83Hs2DHt/nvp0iUUK1YMH330kfZV1ZUrVzZ0mW9MrVZrF/Z8+k7nxo0b2nX+qlatWqRrzdHR0SwuAk0uXCRJwo0bN4o8YE9ISNAuE+/m5lZkpJaLi4tZ/MLS0tKwe/duhIeHY8+ePUhPT4eTk5P27qR9+/Y6XTvMkB4/foy+ffti7969WLVqFfr372/oknQuNTUVPj4+iI2NxcaNG9GxY0dDl6QzCQkJ2qA5cuQICgoK0LhxY+2+3bhxY7M4hrOysrSvL9D8uXjxovb1Bfb29kVGrNWsWdPkjmuTCJfjx49j3bp12iDRrK5aunTpIkuhuLu7m+XqqsuWLcNvv/2Go0ePmu1B9zIpKSn45JNPEBsbi02bNqFTp06GLklvHj9+jP79+yMyMhIhISHo16+foUvSubS0NG332e7du7UXUR4eHhg9ejTc3d0NXaKsNAOKng6b+Ph4XL9+XXvR7OLiAjc3N9StWxf+/v5Gf8ybRLhIkgRNmc82qLE3sFw0K8dqttdStltDkiQUFBRAoVBY3LYDT7Y/Pz8fkiRBpVJZVBtojv2nzwGWsv1qtRq5ubnIyclBTk4OcnNzoVar4eLiYujSXkln4WICmaWlix3V0rcfkL8NJEnSWa1sAx4HprIP6JKcbaCzaaf79u3DkSNHjHZmqyRJcHJygr+/v05+vmb7jfVKW9fbDwC///47jh49apTzgDQHvJOTEz777DOdfc/+/fvx559/wsrKyqj3gyFDhujk51v6eQAA/vrrL0RFRRl1G5QvX172BV51trVXrlxBt27dsHHjRjRv3hzNmjVDuXLljOYAy8nJwfz583X2869cuQIvLy+sWbMGXbp0QfPmzY1q2KGutx940ga+vr5GN2Hu/v37mD17NkaPHo2ff/5Zp9919epVeHl5YeXKlfD19cU777xjVMOmc3JysHDhQp39fM15ICwsDK1atcL777+P0qVLW8x5AHgy6q9r165wdHR84WcePnyI06dP49q1ayhVqhSaNGkCJycnvbRTbm4ufvzxR9l/rk6jNDExEUFBQQgKCoKTkxO6du2KQYMG4b333oNSqTToDqZSqXR+kF+4cAEhISH48ccf8cEHH2DKlClo27atUVzB6GP7AaBEiRKwt7fX+fe8Ds28Jz8/Pxw5cgT29vZ6Cfzo6GisW7cOW7ZswfDhwzF+/HjY29sbxQlWH/tBYmIigoODERwcDFdXV/Tt2xd+fn5GMYJTX8eBra3tc+fv5OfnY//+/fjhhx+QmJionX9XtmxZDBs2DD169ND5+UKpVOqkDXTaqnXr1sX69esxYMAAAEBISAg++ugjdO/eXbvQnSn1R/5b77zzDtasWYOWLVviyJEj8PLygr+/P27evGnW222MJEnC5cuX4ePjo/1dTJ48WS8nt1atWmHZsmVwcHDA/Pnz0bNnT1y+fNli9gHNeaBPnz548OABZs+ejZYtW2LBggXIyMiwmHZ4VnZ2NgIDAzF16lQkJSWhU6dOmD59Ovz8/FBQUIB58+bhl19+Mdn20Wm4lC5dGr6+vli1ahVOnDiBlStXokGDBtizZw+6deuG/v37IzY2VjsSytyUKlUK/fr1Q0REBDZu3IhatWph3bp1aNeuHXbu3Km9SiHd0ryK2cvLCzExMRg0aBDWrFmDMmXK6OX7bW1tMXjwYERGRqJbt244evQoPDw8cPjwYZM9cfwbmvPA2rVr8ffff+PLL79Efn4+vvjiC3Tp0gUnTpywiHZ42uPHjzF79mysXbsWlSpVwrJlyzB37lz06NEDY8aMQWBgIOzt7REYGIiYmBiTbB+d3w8KIWBlZYWKFSti8ODB2L9/PzZs2AB3d3f8+uuvaNeuHaZPn46UlBSTbMBXEUKgWLFi8Pb2xoEDBzBhwgTcvn0bvr6++Oqrr5CZmWmW220sJEnCkSNH4O3tjatXr2Ls2LH4/vvv9d5VJ4RA1apVsW7dOkyePBl37tyBr68vfv75Z4u4yNCcB6pVq4aZM2fi8OHD6NGjB06dOoUuXbogODhY+3Ivc5ednY25c+dix44dqFOnDn744Qft2z01w6zfffddfP7558jNzcWCBQu0rwQwJXp9siiEQIkSJdCzZ0/s378fS5cuRYkSJTB37ly0a9cOu3bt0q5AbG6EEChbtiy++eYbbNq0CZUqVcK8efPQq1cvXLt2jQGjA5IkYdeuXejVqxeSk5MxY8YMzJkzx2ALdgohULx4cUybNg3ff/89JEnCiBEjMH/+fJM8ebwpzSoaP/30E4KDg6FQKDBu3DiMGTMGDx48MOtjITc3FwsXLtQGy7Jly1ClSpXnzt/r2LEjWrdujXPnzmHv3r0m1y4GGbYihEDJkiUxYsQIHD58GJ9++ikSEhLQq1cvDB8+HLdu3TK5hnxdCoUCXbt2xb59+9ChQwdERkaiY8eO2L9/v9l2DxqCWq3Ghg0bMHDgQGRlZWHx4sWYPHmyQV8draFQKNC/f3+EhYWhfPnymDNnDkaPHo20tDSz3e+fJYSAtbU1/Pz8EBERgTp16mDFihXo168f7t27Z5btkJeXh++//x6bN29GjRo1sHjxYlSsWPGFz/2USiVGjBgBGxsbrF69GllZWXqu+O0YdEykEAKurq5YsWIFfv31V9SsWRM//vgj2rZtiy1btpjtbbIQAtWqVcOWLVswadIkJCUloXv37liyZAmys7PN8sDSp/z8fAQHB+M///kPhBAICQlBQECAUc23EUKgXbt22L59O+rXr49169ahZ8+eiIuLs6jfvxACTZo0QUREBD766CPs3r0bPj4+2sUdzYVmn1y3bh2qVKmCxYsXo3Llyi8dUKK5w/vwww+RmJiIQ4cOmVSbGMWAe6VSiS5duuDAgQMYN24cbt++jf79+8Pf3x9JSUkm1aCvSwgBOzs7zJkzB6GhoShRogSmTJmCgQMH4vr162a5zfqQm5uLefPmYdKkSbCzs8PPP/8MX19fo5pboiGEQL169bB9+3Z4e3vjr7/+QpcuXbB8+XKz7x56mhAClStXxqZNm9CnTx8cP34c3t7euHLlitm0wZ9//ok1a9bA0dERS5Ysgaur62uNVLSyssKnn34KhUKBn376yaQeGxjNESeEQPny5TF//nzs2LED7u7uWL9+Pdq3b49du3aZ7UNPhUIBX19f7N27F++//752kMOGDRuQk5NjNgeXPmRnZ+PLL7/ErFmz4OjoiC1btqBTp04Gn0vxMkIIVKxYEatXr8acOXOQl5eHiRMn4uOPP8aSJUsQFRWFu3fv4vHjx9q1xcxxnxBCoFSpUggJCYGfnx9iY2Ph4+NjNgHTvHlzDBw4EMuWLUOtWrX+1T5Zt25dNGzYEOfPn0dcXJwOq5SX0YSLhkKhQLt27bBv3z6MHTsWSUlJ8PX1xfTp0812ZJUQAg0aNMCuXbvw+eefIyUlBYMHD4avry/Onj3LZzGvIEkSMjMzMXr0aAQGBqJGjRrYunUrWrZsadTBoiGEgK2tLcaOHYvIyEh0794dV69exRdffIH27dujWbNmaNWqFbp06YKBAwfi66+/Rnh4OG7fvm1W+4ZmwE9gYCCGDh2KCxcuwMfHB4mJiSZ/3NvY2GDMmDH/OliAJ+fEvn37Qq1WY/PmzSbTFkYXLsD/RlYtWLAAv/zyCypWrIhvvvkGffr0MduH/Zort9mzZyMiIgLvv/8+du7cqR2qnZycbJbb/bYkSUJGRgb8/f0RGhqKBg0aYNu2bSb51k0hBOrXr481a9bg4MGDmDt3Ljp16oQKFSogIyMDMTEx2L59O+bPnw9fX1+0bNkSEydONLvRhra2tli0aBECAgIQFxeHnj17msXE4zddX04IgVatWqFChQo4ePAgUlNTdVCd/IwyXDQUCgU8PDzw+++/ax/2de3aFefOnTP5He1FrKys0KpVK+zevRuBgYGws7PD3Llz0bZtW2zbts1sBzm8CUmScP/+ffTv3x9btmxBixYtsG3btje6OjQWQggolUrUr18f48aNw8aNG3H48GGcPHkSJ06cwIEDB7BmzRoMGTIEKpUKy5cvx8cff4xt27aZ1V1MsWLFsGjRIgwePBgxMTHw9fXF3bt3zfa4fxU7Ozt07twZGRkZ+OOPP0yiHYw6XIDCI6s0t8oeHh7466+/TKKB34TmYf/w4cNx5MgR+Pv749q1a+jbty+GDRtm0QeZhiRJ2smoe/bswccff4wtW7Y8d86AqdJMPLS1tUXZsmXh6uqKJk2aoHfv3vjuu+9w+PBhTJ06FWlpaRgyZAjWrFljVgFja2uLwMBA+Pr64sSJE+jfvz/S09MNXZZBCCHg5eUFlUqFrVu3msQzaKMPF+B/82KWLl2KadOm4c6dO+jRowf+/PNPsz7JamZ1BwUFYevWrahTpw5Wr16Njh07WuSSGRqSJOH69evo0aOHdvb9hg0bUL58ebMJlpfRzOJ2dHTEf//7X6xbtw62traYOHEidu3aZVb7RYkSJfDDDz+ga9euOHDgAPz9/fHo0SNDl2UQ1atXR926dXHhwgUkJiYaupxXMolw0bC2tsYXX3yBuXPnIi0tDb6+voiKijKrg+l5FAoFOnTogH379sHf31979/bbb7+Z1ZXq65AkCQkJCfDx8cGpU6fQr18/hIaGwsHBwSKC5VlWVlbo2rUrVqxYAQAYNWoUrl69albHhL29PUJDQ9G6dWts3boV48aNs6gVDTQUCgW8vLyQl5eHiIgIo/8dm1S4AE/mxIwdOxazZs1CcnIyfH19LWKFWc1Q7e+//x5Lly5FTk4OPv30U6xbt85iAkaSJJw7dw7e3t44f/48/P39sXz5cqNZvt5QhBDo1q0bPv/8c9y9exdjx45Fbm6uocuSjWaAz88//4wGDRpg9erVmDVrlknN+ZCDZuKtnZ0d9u7di+zsbEOX9FImFy4AtGsRTZgwAdeuXcOAAQNMZgTF21KpVPjPf/6DtWvXQqVSYeTIkSa9LPfrkiQJ0dHR6N69O65cuYIxY8Zg8eLFKF68uKFLMwpWVlYYPXo0PvjgA+zfvx8bN240q31CM9Fy48aNcHFxwYIFCxAcHGwxF1Ya5cqVQ9OmTXHr1i2cO3fO0OW8lEmGC/DkDmb69Onah33mdrX2MlZWVvD29sbatWuhUCgwbNgwHDx40KxOJk+TJAnHjx9Hjx49cPPmTXz++ecGXYDSWBUrVgwLFy5E8eLFMWvWLNy7d8/QJclKCIHatWsjLCwMpUuXxtSpUy3iwuppQgh4e3tDkiRs377dqLfdZMMFeHIwfffdd2jcuDHCwsKwYsUKo25sOQkh4OHhgWXLliE7OxtDhgwxu/kOwJNg+fPPP9GrVy/cvXsX//3vfzFt2jRYW1sbujSjI4RAw4YN4efnh6SkJAQGBprd/iCEQLNmzRAaGgqlUonhw4dj//79ZredLyKEQNOmTVG+fHkcOXIEDx48MHRJL2TS4QIAZcqUwerVq1G6dGl89dVXFvGAX0MIgf79+2PSpEm4ceMGhg4danIrp76MJEk4dOgQfH19kZKSgpkzZ2LKlClGsbKxsRJCYPz48XBycsKPP/5oEqOK/i0hBLp06YLvvvsO2dnZGDhwIKKjoy3muLezs0Pbtm2RmpqKY8eOGe12m3y4aJZOmTdvHjIzMzFs2DA8fPjQ0GXpjUKhwNSpU9GhQwfs378fCxcuNIt+aEmS8Mcff6Bv375IS0vDN998g/Hjx+v8feLmoEKFChg9ejQyMjLMZn94lubCatasWbh//z769OmDhIQEoz3Rykkz50WhUGDbtm1Gu80mHy7Ak8YeOHAgunfvjqioKCxYsMAsD6gXsbW1RXBwMBwdHfHtt9+a/BwYSZKwf/9+9OvXDw8ePMCCBQswcuRIo1oy35gJIfDpp5+iatWq2LRpEy5fvmzoknTCysoKY8aMwbhx45CYmIg+ffrgn3/+Mel9/3XVrVsXrq6uOH36NP755x9Dl/NcZhEuwJNRVIsWLUKVKlWwdOlSnDx50iJ2MuB/qxgsWLAA2dnZGD16tMlONJMkCREREejXrx8yMzOxaNEiDBs2jMHyL5UqVQpjxoxBZmYmli5darbHgkqlwtdff41PP/0UMTEx6Nu3r9m+Mv1pKpUKHh4eyMrKwp49e4xye80mXACgcuXKmDdvHnJycjBu3Dizev7wKkII9O7dGz4+PoiKijLJh7n5+flYu3YtBgwYgKysLCxZssToXvJlKoQQ6NevH1xcXLB582Zcu3bN0CXpTLFixbB06VL4+Pjg6NGj+PTTT436QbcchBDo3LkzbG1tsWPHDqOcVGpW4SKEQK9evdCtWzccP34cISEhJneCfRtKpRLz589H+fLlsXDhQly4cMEktl+SJNy8eRNjx47F8OHDYWVlpX2vhzG+5MtUlCpVSvsMMjg42CT2hTdVokQJrFy5Eh9//DEiIiIwbNgwPH782NBl6ZSTkxOaNm2K69ev48yZM0b3+zW7I1dzgnVwcMDcuXNx/fp1Q5ekN5rXRk+bNg0PHjzA5MmTjXIWsyRJ+OeffxAZGYnQ0FCMHDkSH3zwAX744QfUqFEDv/32G/r06cNgeUuah96Ojo7YsGEDbt++beiSdEYIAQcHB6xfvx7vv/8+fvnlF0ycONEor+jlIoSAr68vACAsLIzhomua906PHz8e9+/fx1dffWUSK4jKRQiBIUOG4P3338fevXuNbqKVWq3GmjVr0Lx5c3h4eMDf3x8rV66EJEmYNGkS9u3bh9atW1v0ci5yKleuHAYPHoyUlBSsWbPGqPYFuQkhUKFCBWzcuBH16tVDSEgI5s6da5QXWHLQzHlxcXHBsWPHcOPGDUOXVIjZhQvwpNFHjRqFevXqYdOmTTh69KhZH1TPKlasGL799luoVCp8+eWXRrNMuSRJ2LdvH0aNGoXHjx/Dz88P8+bNw5YtW3D8+HHMnTsXjo6ODBYZaS42HBwcsHr1aqPZF3RFCAEXFxds2rQJzs7OmDdvHkJCQsx29GixYsXQp08fZGdnG93di1mGC/BkJdW5c+eioKAAU6dONfpF3uQkhECLFi3Qv39/JCQkYNmyZUax02VnZ2Pq1KlQq9UIDQ1FcHAwJkyYAC8vL1SqVImhoiNVqlRBz549kZSUZFKvyX1TQgjUqVMHGzZsQMmSJTF58mSzexWBhmbR0goVKiA8PNyohiWbbbhoZvF27NgRx48fx6ZNm8xy53oRKysrTJs2DRUqVEBgYKDB5zpo5q6cO3cOnTp1QteuXbXvJSHdEkJgxIgRsLW1RVBQkEWMohRCoHnz5tolofz9/REbG2uW54BSpUqhb9++ePjwIX788UejuUsz23ABnjzcnz17NmxtbTFz5kykpaUZuiS9qlKlCj7//HNkZGQY/NmTJElYsWIFhBAYM2YMH9brWe3atdG5c2fEx8dj9+7dZnmSfZZmkceZM2ciJSUFAwcORHJysqHLkp1mlGyVKlUQHh6O06dPG8Xv16yPcCEEGjVqhP79+yMxMRHLly83ikbXFyEEPvvsM9SvXx9bt27FoUOHDLb9t27dwpEjR1CzZk00b96cdyx6ppnNrlQqERgYiLy8PEOXpBeaVxEMHDgQZ8+exZgxY8xy9fSSJUti7NixyMvLw8yZM5GcnGzwc51ZhwvwZOeaOnUqypYti8DAQNy6dcvQJemVnZ0d5s6dC7VajalTpxqkS0SSJOzYsQOZmZno3bs3bGxs9F4DAU2aNEHLli0RFRVl9q8If5pKpcLChQvRtGlTbN68GT/88IPZbbsQAh999BF69uyJxMRETJw4EUlJSQbdTrMPFwBwcXHByJEjcf/+fXz77bdmt2O9jBBC+4zj1KlTWL9+vd63v6CgAGFhYbC2tkavXr1412IgCoUCEyZMAAAsXLjQooboOzg4YNWqVdrV081xFWWlUonx48ejQ4cOOHPmDPz8/LBhwwYkJSUhJycHkiTpdZstIlw0DzSdnZ2xZs0aXLp0ydAl6ZVCocDs2bNhZ2eHOXPm4O7du3r9/oSEBJw+fRqNGjWCm5ubXr+b/kcIgTZt2uCdd97BkSNHEBUVZeiS9EYIgfr162PevHl49OgRhg8fjszMTEOXJTtbW1vMmjULfn5+ePjwIebPnw9fX18MGjQIU6ZMwYoVK3Do0CHcv39f50FjEeECAGXLlsXkyZORmZmJ2bNnG82ICn0QQsDd3R1Dhw5FUlIS5s+fr9crmJ9//hk5OTno378/1wkzMGtra4wfPx55eXn49ttvLe44GDhwIHx8fHDy5EksWrTI7O5ehBAoXrw4Ro0ahbVr12LQoEGoXLkybt26hcjISAQFBWH06NHw9fXF4sWLdTrAwWLCRbNj1a5dG7/99htOnz5t6JL0SgiBiRMnwsXFBatWrcKZM2f08r3p6en46aef4ODgAB8fH3aJGZgQAl27doW7uzv27dtncceB5vlLpUqVsHjxYsTExBi6JJ2wsrLSrlSybt06bN68GaGhoZg9ezZ8fHwAAGvWrIG/vz/Onz+vmxp08lONlJ2dHb788ksUFBRg+/bthi5H78qXL4+vv/4aeXl52Lp1q16+89SpU0hLS0PPnj1RqVIlvXwnvVyxYsUwadIkqNVq7Nq1y9Dl6J2zszNmzZqF3Nxc/Pbbb4YuR6eEEChWrBgcHR3xzjvvwMvLC9OnT8eGDRvg6+uLGzdu4NixYzr5bp291k+SJFy8eBEZGRm6+oo3UqtWLcyePRstWrTQ6Y5lrNvv7u6OGTNmoHXr1vj11191+l2SJMHJyQlLliyBo6MjYmNjdfp9/1Zubq7Oh+RKkoT4+HijWwK+evXqmDlzJpo2barTCy1jPQ4aNmyI6dOn48MPP9TLcZCYmGh0z3i6d++OChUqoEmTJvj9999l//lC0lGnY2xsLKKiooy6G8TZ2Rnt2rXTSY2Wvv3AkzaIjo42+jZo27atzmo8d+6cSbRBmzZteBzoqMb4+HjExcUZdRs4OjqiWbNmstaos3AhIiLLZVHPXIiISD9MIlw0k38s+SbL0tvA0rcfeNIGarXa4tvAkvcDtVqN7OxskxhCbhLhcvr0aVhZWVncsMmnWXobnDlzBiqVSm9DqI3RmTNnULx4cYtuA0s/Di5evIgmTZrg4sWLhi7llUwiXIiIyLQwXIiISHYMFyIikh3DhYiIZMdwISIi2TFciIhIdgwXIiKSHcOFiIhkx3AhIiLZMVyIiEh2DBciIpIdw4WIiGTHcCEiItkxXIiISHYMFyIikh3DhYiIZMdwISIi2TFciIhIdgwXIiKSHcOFiIhkx3AhIiLZMVyIiEh+khGLioqShgwZIpUsWVICIJUsWVIaMmSIFBUVZejS9MbS28DSt1+S2AaSxDbQbH+pUqUkAFKpUqWMfvuNMlzy8vKkgIAACYCkVColANo/mr8HBARIeXl5hi5VZyy9DSx9+yWJbSBJbANT3n6jDJeAgABJCFGoIZ/9I4SQAgICDF2qzlh6G1j69ksS20CS2AamvP1GFy5RUVEvbchn/xjzbeGbsvQ2sPTtlyS2gSSxDUx9+43ugX5QUBCUSuVrfVapVCI4OFjHFemfpbeBpW8/wDYA2Aamvv1CkiTJ0EU8rWzZskhNTX3tz5cpUwYpKSk6rEj/LL0NLH37AbYBwDYw9e03unCxtrZGXl7ea39epVIhNzdXhxXpn6W3gaVvP8A2ANgGpr79RtctZm9vr9PPmwJLbwNL336AbQCwDUx9+40uXLy9vf9VP6OPj4+OK9I/S28DS99+gG0AsA1MfvsNO56gKFMfISEHS28DS99+SWIbSBLbwNS33+jCRZJMe2y3XCy9DSx9+yWJbSBJbANT3n6jDBdTnpUqF0tvA0vffkliG0gS28CUt98ow0UjKipK8vPzk8qUKSOpVCqpTJkykp+fn9Hd/umSpbeBpW+/JLENJIltYIrbb3RDkYmIyPQZ3WgxIiIyfQwXIiKSHcOFiIhkx3AhIiLZMVyIiEh2DBciIpIdw4WIiGTHcCEiItkxXIiISHYMFyIikh3DhYiIZMdwISIi2TFciIhIdgwXIiKSHcOFiIhkx3AhIiLZ/R/rrxC2LziXRwAAAABJRU5ErkJggg==\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model(dataset['train_input'])\n", - "model.plot(beta=10)" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "id": "52ec328b", - "metadata": {}, - "outputs": [], - "source": [ - "# set the (1,0,0) activation to be gausssian\n", - "#model.fix_symbolic(1,0,0,lambda x: torch.exp(-x**2/10),fit_params_bool=False)\n", - "model.fix_symbolic(1,0,0,'gaussian',fit_params_bool=False)" - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "id": "79fff8e1", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model(dataset['train_input'])\n", - "model.plot(beta=10)" - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "id": "818d76e2", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 2.11e-01 | test loss: 2.35e-01 | reg: 7.55e+00 : 100%|█| 100/100 [00:14<00:00, 6.75it/s\n" - ] - } - ], - "source": [ - "model.fit(dataset, opt=\"LBFGS\", steps=100, lamb=0.01, lamb_coef=1.0);" - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "id": "c5cb7884", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.plot(in_vars=[r'$x_{}$'.format(i) for i in range(1,7)])" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "6b5975f8", - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.7" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/tutorials/.ipynb_checkpoints/Example_13_phase_transition-checkpoint.ipynb b/tutorials/.ipynb_checkpoints/Example_13_phase_transition-checkpoint.ipynb deleted file mode 100644 index 8637e54e..00000000 --- a/tutorials/.ipynb_checkpoints/Example_13_phase_transition-checkpoint.ipynb +++ /dev/null @@ -1,192 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "5d904dee", - "metadata": {}, - "source": [ - "# Example 13: Phase transition" - ] - }, - { - "cell_type": "markdown", - "id": "6465ec94", - "metadata": {}, - "source": [ - "In this example, we will use KAN to learn phase transitions in data. Phase transition is an important concept in science. We consider a toy example $f(x_1,x_2,x_3)$ is 1 if $g(x_1,x_2,x_3)>0$, and is 0 if $g(x_1,x_2,x_3)<0$. $g(x_1,x_2,x_3)={\\rm sin}(\\pi x_1)+{\\rm cos}(\\pi x_2)+{\\rm tan}(\\frac{\\pi}{2}x_3)$." - ] - }, - { - "cell_type": "markdown", - "id": "94056ef6", - "metadata": {}, - "source": [ - "Intialize model and create dataset" - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "id": "0a59179d", - "metadata": {}, - "outputs": [], - "source": [ - "from kan import KAN, create_dataset\n", - "import torch\n", - "\n", - "\n", - "model = KAN(width=[3,1,1], grid=3, k=3)\n", - "\n", - "# create dataset\n", - "f = lambda x: (torch.sin(torch.pi*x[:,[0]]) + torch.cos(torch.pi*x[:,[1]]) + torch.tan(torch.pi/2*x[:,[2]]) > 0).float()\n", - "dataset = create_dataset(f, n_var=3)\n" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "id": "3837440b", - "metadata": { - "scrolled": true - }, - "outputs": [ - { - "data": { - "text/plain": [ - "tensor(0.5060)" - ] - }, - "execution_count": 2, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "torch.mean(dataset['train_label'])" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "id": "fe38f7c5", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model(dataset['train_input'])\n", - "model.plot(beta=10)" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "id": "8627b850", - "metadata": {}, - "outputs": [], - "source": [ - "# set the last activation to be tanh\n", - "model.fix_symbolic(1,0,0,'tanh',fit_params_bool=False)" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "id": "3957140b", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model(dataset['train_input'])\n", - "model.plot(beta=10)" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "id": "be0b0daf", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 6.31e-02 | test loss: 1.04e-01 | reg: 2.23e+02 : 100%|██| 50/50 [00:05<00:00, 8.77it/s]\n" - ] - } - ], - "source": [ - "model.fit(dataset, opt=\"LBFGS\", steps=50);" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "id": "2f9b37a8", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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5uWjdujWOHz8OX19fSClx4MABjBkzBs888wzWrFkDd3d3W/8aRDbHCX2i+8rKyrBo0SLk5OTgk08+MQVLdYQQ6N27N5YuXYpvv/0Wu3fvrqdqiewbw4XovsuXL2PHjh0YMWIEevfuXWOwlBNCYPjw4ejRowdWr16N0tJSK1dKZP+4xIXovkOHDiE/Px8jR47EtWvXUFBQYHotLS0NZWVlAICSkhKcPXsWjRs3Nr0eEhKCESNGYP78+bh9+zZCQ0PrvX4ie8JwIbrvwoUL8PT0RFhYGKZOnYqDBw+aXpNSQq/XAwBu3ryJQYMGmV4TQuDDDz9Ex44dUVhYiJs3bzJcqMFjuBABMBqNuHXrFjQaDdzd3aHX61FcXFzl90opH3qttLQUWq22UggRNWQMF2pw9Ho9zpw5g6SkJJw8eRJJSUk4deoU8vPzodVqodPpEBUVBS8vL9N7ioqKcOjQIVOI9OzZ03TjpBACLVq0wN27d1FYWIgxY8YgKioKkZGR6Ny5MyIjI9GsWTOz53CInAGXIpNT0+l0SEpKMgXJyZMncf78eZSWlkIIgbZt25oCwGAwYMGCBVi5ciUmTZpU6Tipqano1q0bcnNz0apVK/z73/+Gj4+P6XUhBGbPno3169dj+PDhuHDhAk6ePInc3FwAQGBgICIjIysFTps2beDi4lKf/xxE9YbhQk5BSon09HRTgJSHybVr1wAAHh4e6Nixo+nEHhkZiY4dO1bqnWRlZaF3797w9fXF7t27K03YP+o+l/KfffPmTfTt2xdDhw7Fhx9+CCEEpJS4fv16pXpOnjyJtLQ0AICXlxc6depkqqlz587o2LEjPDw86u8fjshKGC7kcMrKynDx4sVKw1onT55EVlYWAMDX1/ehXkLbtm3N2v/r73//O9544w3MmTMHs2bNMr2nunApLi7GjBkzsGPHDvz0009o27ZttT8jMzOzUm8qKSkJFy5cgNFohIuLC9q1a1cpcDp37gw/P786/qsR1S/OuZBdKywsxOnTpytd+Z8+fRpFRUUAgJYtW6Jz586YPn266YTcvHnzWs9vjB8/Hvv378f7778PT09PvPLKK6aehEajgUajMQ1lSSmRl5eH9957D3Fxcfjoo49qDBYACAgIwMCBAzFw4MBH/p5JSUmIj483/Z4tWrSoFJZ1/T2JrI09F7Ib5Vf0FXsjFy9erHRFX/EE++STT1rlij4jIwPTpk3Dzp07ERMTg5kzZ6Jdu3amWtzc3NCmTRscPXoUy5YtQ1JSEhYsWIBXXnlF1TmU0tJSpKSkPDSsVt5D8/PzM/Vsyv9dHn/8ce7QTHaB4UL1TkqJa9euPRQk5XMRnp6eePLJJysFSfv27aHVauutxoKCAqxevRorV67EnTt3EBYWhoiICDRq1Ag5OTm4ePEibt68ia5du+Kdd95B3759oSjW3/Ci4txSxX+/q1evAgDc3d3RsWPHSsOCnTp1qjS3RFQfGC5kVQaDAefPn3/oZFjVKqryk6E9raK6ffs29u7di19++QWnTp3C0aNH0adPH/Tq1QvR0dGIioqCp6enrcuETqfDqVOnKi1oOHfunGlV3H/8x39UCuvOnTujadOmti6bnBjDhVSTl5eH5OTkSkFy5swZlJSUAADCw8MfOsE50v0fx44dQ/fu3XHs2DE89dRTti6nRsXFxTh37lylv0f5/TzA71vWVJzD6dy5M8LCwhzm70H2jeFCtXL79u1K8wBJSUm4fPkypJRwdXVF+/btH5ofqbi01xGdOHECXbt2xfHjx9GlSxdbl1MrRqMRV65ceehvd/v2bQBA48aNHxqSfOKJJ+Dm5mbjysnRMFyoWuUnoweHtcpPRo0aNXro6tdZT0bOEC6PUvFiofz/KSkpAOC0FwtkXQwXMtHr9Th79my1wygPDmu1bt26Xiay7YEzh0tVzBnmfPDCwpGGOcm6GC4N1IPbojxqArjijXwNfQK4oYVLVcoXaDzYyylfoNG0adNKFx/c5qbhYrg4uZqWrj64LQqXrj4aw6VqNS0tL9/mpmLgdOjQgdvcODmGixOpaluUpKQkZGZmAvj/26JUHMowd1sUYrhY6sFtbqq6KZbb3DgvhouDqmq7kOTk5Ie2RakYJtwupG4YLnVXU7st3+aG7dbxMVwcQFZW1kNbgPAKsP4xXKyj4jY3VW1E+uA2N+xxOwaGix0xd1uUih+y+t4WpSFjuNSfquYKq3uEAucK7Q/DxUYeXHVT3bYoXHVjHxgutmfpKsfIyEgEBgbauuwGieFSD/Lz8037PvF+AcfFcLFP5mxz8+D9WdzmxvoYLiqr6k7n6rZF6dSpE5o0aWLrsskMDBfHUdPOEo0bN37ocQXOurOErTBcasmSbVG4R5NzYLg4vqr2xOM2N9bBcDGDwWDA6dOnuS1KA8dwcU6W7ubdpUsXBAcH27hq+8dwMcO1a9fQunVrPhejgWO4NBzVPYdo/PjxWLduna1LtHsMFzNU/CfiJGDDJaWElBJCCLaDBojnAcvwLiQzsCFRObaFhot/e8s4RbhIKZGSkmK6o9dRKYqCDh068EawWmI7ILYB++EUw2JGoxHTpk1DaGgovL29LXqvlBJlZWVwcXGx+ZXJr7/+innz5qFTp042rcNR1aUd2AODwQCj0YijR4+yHdRSeRsICQmBEAJeXl4OubDGGc4FTtFzAQB3d3dMmjQJQUFBZn2/0WhEcnIyVq9ejTNnzqBFixaYMmUKevXqZZPGKKVEfn4+nCDrbcrSdmBrUkrk5OTgH//4B77//nv07t0bkZGRbAd14O7ujueeew5//vOf0bx5c7z44ouIjo6Gh4eHzS8gzeEs5wKnCRdLGI1GbNmyBa+//jru3Llj+npCQgJWrlyJMWPGOOTVDjkWKSXu3r2LCRMmIDExEVJKaLVa9OzZ09alObxz584hKSkJR44cwXfffYehQ4di6dKlaNmypUMEjDNocGdQKSV27tyJadOm4c6dO+jWrRuWLVuGZ555Brm5uXjjjTfw73//2+GvGhoyvV6P3377Denp6TAYDHb7tywpKcHs2bORmJiIJk2aYN68eZg7dy4vbFTQpUsXfPXVVxgzZgw0Gg22bt2KESNG4MyZM3bbHpxNg2rFUkpcunQJM2fOhE6nQ3R0NLZv346ZM2di8+bNiIqKQkZGBubPn296vgQ5nuTkZERFRaFr164YO3asafsdeyKlxLfffovNmzfDzc0NH3zwAebNm2ezYVln4+fnh2HDhmHdunXYuHEjmjdvjqSkJLz44ou4ePGi3bUHZ9SgWrFer8fcuXNx9epVPP744/j0008RHBwMIQSCgoLw3nvvwcvLCz/99BP27NnDBuig3N3dUVJSgpycHHz99dd4/vnn7S5gcnJysGTJEuj1erzwwgsYO3YsQ0VlQgi4urpi+PDh+Oqrr9C6dWucOXMGkyZNwu3bt+2qPTijBtOapZTYvn07vvvuO2i1WixevNh01z3we0Ps3bs3hgwZgpKSEqxatQp6vd7GVVNtRERE4JdffkFcXBxatGiB5ORkvP766ygoKLB1aQB+b4tbt25FcnIymjZtirfeeot7zlmREAJ/+MMfsGbNGjRt2hSHDh3CW2+9xdEJK2sw4ZKVlYUlS5agpKQEL7zwAv7zP//zoYk9jUaDqVOnQqvV4uDBgzh+/DivbhyQVqtF+/btMXz4cPz9739Ho0aNkJiYiM2bN9vF3/PevXv4/PPPYTQa8ac//Qnt2rXjJLOVCSHQt29fLF26FFqtFlu2bMGqVatgNBptXZrTahDhIqXE+vXrcebMGQQHB+Ott96Cq6vrQ98nhED37t3Ro0cPFBYW4quvvrKLkxHVjhACMTExmDBhAkpLS/G3v/3NtGu1rUgpsXfvXiQnJ8PPzw8TJ05ksNQTRVHwpz/9CdOmTYPRaMSiRYtw4MABfsatpEGES3p6OlatWgUpJSZOnIi2bds+8gPt4eFhWoqckJCAu3fv1nO1pCYXFxe89tpraN68OVJSUrBp0yabnkwMBgPWr1+P0tJSPPvss3j88ccZLvVIo9Hg7bffxtNPP42cnBy8+eabyMjIYMBYgdOHi5QS69atw9WrV9GyZUtMmTKl2olTIQSio6MRHByM3377DT///DMbngMTQqBly5YYP368qS3YcmuQCxcuYP/+/XBzc8O4ceP42Op6JoSAj48Pli1bhuDgYBw/fhyLFi1CaWmprUtzOk4fLmlpaVi7di0AYNKkSQgNDa3xPSEhIejfvz+MRiO++eYblJWVWbtMsiJFUTBu3DgEBQXh0qVL2LVrl00uGKSU2LZtG3Jzc9GhQwf84Q9/YK/FBoQQ6Ny5M+bMmQMXFxesWbMGCQkJvIhUmVOHS/lcy40bN9CqVSv893//t1kfZkVRMHz4cLi4uODAgQO4detWPVRL1tSqVSsMHToUZWVl2LBhg01WAt67dw/bt28HAIwYMcIh9z9zFoqiYPz48Rg2bBgKCwvx9ttv48aNGwwYFTl1uKSnp5t6LRMnTkRISIhZ7xNCoGfPnnjsscdw584d/Prrr2x0Dk5RFIwdOxZarRZHjhxBUlJSvf5NpZQ4duwYLly4AB8fHwwbNoy9FhvTarVYtGgRWrdujYsXL2LevHmmp09S3TltuEgpsWHDBly/fh2tWrXCuHHjLPowBwYGok+fPjAajUhISOCSRQcnhEDXrl3RtWtXFBQU4Ouvv67Xn19+n1VJSQm6d++OiIiIev359DAhBNq0aYOFCxfCw8MDW7Zs4QpRFTltuKSnp+OLL74AAEyYMAGPPfaYRe9XFAWDBw+Goig4ePAgMjMzrVEm1SOtVosXXngBQgjs3LmzXif2s7OzsWfPHggh8Mc//rHKpfBU/4QQ+K//+i+8+OKLKCkpwbx583D69GkGjAqcMlyklPjyyy9x7do100ohS4cgyofGAgMDcfPmTW5m6QSEEBg8eDACAwNx9erVervHQUqJI0eO4Nq1awgICMDAgQM5JGZHXF1dMX/+fHTu3BlpaWl47bXXkJWVxc97HTlduEgpcf36daxZswbA7yvELO21lAsJCUHXrl1RWlqKPXv2qFkm2UiLFi3w9NNPo7S0FPHx8fUy3CmlxI4dO1BaWooePXqgRYsWVv+ZZD4hBEJCQvDRRx/Bz88P+/fvx5w5c7j9Ux05Zbh89tlnuHHjBtq0aVOrXks5jUaD6OhoAMDPP/+M/Px8NUslG3BxccGIESPg4uKCn3/+uV5WAmZnZ2Pv3r0QQmDo0KHQaBrkY5TsmhACffr0wYIFC+Dm5oZ169bhgw8+gMFgsHVpDsvpwuXUqVP44osvoCgKpk+fjmbNmtX6WOX7EXl7e+PKlSu4ePGiipWSLZT/TR977DHcunXL6jfJlq8Su3HjBgICAtCvXz8OidkpRVEwceJETJ8+HUajEYsXL8ayZcvYg6klpwqXoqIivPvuu8jKykK3bt3w4osv1vmD3KZNG7Rt2xaFhYW8W99JBAUFoV+/fjAajdi+fbtVb5KVUiIhIQEGgwHdu3dH8+bNrfazqO7c3Nwwb948/M///A9KSkrw17/+FbNnz4ZOp+Nn30JOFS67d+9GQkICPD09MXfuXPj4+NT5mJ6enujXrx8A4Mcff+Q2EU5ACGG6SfbgwYNIS0uz2s/S6XSmIbHnnnuOQ2J2TggBLy8vLFu2DH/+858hpcSKFSswatQoJCcn85YECzhVuPTs2ROvvvoqpkyZgkGDBqk2/DBgwABoNBokJSXh5s2bqhyTbKf8+R4tWrTA3bt3sW/fPqtclUopceLECVy9ehW+vr4cEnMQQgh4e3tj6dKlWLRoERo3bowffvgBMTExWLJkCTIzM9mLMYNThUtQUBAWL16MxYsXq3aFWL4PUUhICDIzM3HkyBFVG5aUkg3VBgICAtC/f3/T44at1SNNSEhASUkJunbtilatWlnlZ5D6hBDw8PDAjBkzsG3bNnTr1g0ZGRmYO3cuBgwYgI0bNyIvL4+f3Wo4VbgAv68Gcnd3V/UKMSAgAFFRUTAajfjxxx9VbVAZGRlYv349t/avZ0IIDBs2DBqNBocPH8Zvv/2m+s+4d+8efvjhBwBAbGwsb5x0QC4uLujbty927dqFhQsXolmzZjh9+jQmTZqEwYMHY8eOHSguLmbIVMHpwsUaFEUx3fh24MAB3Lt3T5XjSimxceNGTJ48GaNHj+ZS53okhEBUVBRatmyJzMxM/PTTT6qfIJKSknDlyhX4+PjwxkkHJoSAv78/Zs2ahX379mHatGnw9vbGwYMHMWrUKIwdOxanT5/mfMwDGC5mEEKgd+/eaNy4Ma5du4Zz586pctyMjAysWbMGZWVl6NOnD7y8vFQ5LpnH398fAwcOtMrQmJQSu3btgl6vR2RkJMLDw1U7NtmGoiho06YNli9fjh9//BGjR4+GoijYtm0bYmJi8Mknn6CwsJC9mPsYLmZq1aoV2rVrh+LiYlUmgKWU2Lp1K1JSUhASElKnmz2pdspvanR1dcW//vUvXL9+XbVj5+XlITExEQAwePBguLm5qXZssh0hBFxcXBAZGYkvv/wS8fHx6NatG+7evYs333wTL7/8Mu7evcuAAcPFbB4eHqYlyT/99FOdt+bOzc3FF198AaPRiNGjR3Oy1waEEOjevTtatWpluotejZOClBKnTp3CpUuX0LhxY8TExPDCwckIIeDm5oaYmBgkJCTg9ddfh6urKzZt2oQxY8bw2TBguJhNCIH+/fvD1dUVycnJdbo3QkqJxMREnD59Gn5+fpgwYQJPPjbi6+uLQYMGQUqJ7777TrXtPnbu3Ini4mJERkaiTZs2qhyT7I8QAgEBAVi0aBE+/fRT+Pn5Yd++fRg3bhzS09MbdMAwXCzw5JNPonnz5sjOzsahQ4dq3XCKi4vx+eefo7S0FEOGDEHbtm1VrpTMVT405ubmhiNHjiA1NbXOx7x37x527doFABg6dCjc3d3rfEyyb66urnjppZewdu1aBAYG4tdff8XUqVORk5PTYAOG4WIBX19f9OzZ09TzqM3qECklDh48iMOHD8PLywuTJk2Ci4uLFaolc5QPjbVp0wbZ2dn4/vvv63QyKN9LLCUlBT4+Pnj22WfZK20gFEVBbGwsPv30UzRp0gS7d+/G7NmzG+zeZAwXCyiKgpiYGCiKgkOHDtXqYVOlpaVYvXo1iouL0bdvXzz11FM8+dhYkyZNEBsbCwD45ptvUFxcXOtjSSnxzTffmJ44yVViDYuiKBg+fDgWLlxo2l35888/b5DLlBkuFhBCoFevXggICEBaWprFDxCTUuL06dNITEyEm5sbpkyZwlVEduKPf/wjPD09ceLECSQnJ9e693L37l18//33EEJg5MiRvHGyAXJxccHkyZMxZcoUlJaWYsGCBfjll18a3PAYw8VCjz32GLp3747S0lIkJCRY1GCMRiPWrl2Le/fuoUuXLujfvz97LXZACIFOnTohMjIShYWF2Lp1a62OI6XE3r17cePGDTRr1oyrxBowNzc3vPPOO3jmmWeQnZ2NGTNmIC0trUEFDMPFQhqNBrGxsRBCYO/evdDpdGa/NzU1FfHx8XBxccGkSZN406Qd0Wq1eOGFFyCEwPbt25GRkWHxMQwGAzZv3gyj0Yjo6OhaPwGVHJ8QAr6+vli+fDmaN2+O06dPY/bs2XUacnU0DBcLlS9J9vPzw9WrV3H06FGzrkaMRiO+/PJL3LlzB48//jiGDRvGq1o7IoTAkCFDEBwcjKtXr1o8sV8+5HngwAG4u7tjzJgxUBR+vBoyIQQ6dOiAxYsXQ6vV4p///CfWrFnTYOZf2PproVWrVujRowcMBgO++eYbs05CN27cwP/93/9BCIGJEyfCz8+vHiolSzRv3hxDhgyB0WjEunXrUFRUZPZ7pZTYsGED8vLy0KVLF/To0YMXDwQhBJ5//nlMnjwZpaWlWLhwIQ4fPtwghscYLrWg0WgwcuRIKIqCxMRE3L59u9rvLz9Z/fbbbwgPD8fo0aN54rFDiqJg/Pjx8Pb2xpEjRyyahE1NTcXXX38NRVEwYcIEDnmSiUajwZw5c9CrVy9kZmZixowZuHXrltMHDMOlFoQQGDhwIEJCQpCWloY9e/Y8sqFIKZGamoq1a9dCCIHJkycjKCionismcwgh0KVLFwwaNAh6vR4ff/yxWWPkRqMRa9aswe3bt9G2bVsOeVIl5bsqf/TRR2jWrBmOHz+Ot99+26KesSNiuNRSSEgIBg8eDKPRiA0bNjzyJGQ0GvHxxx8jPT0dbdu2xbhx43jisWOurq6YPn06PD09sW/fvhrnXqSUOH/+PL788ksoioKXX34ZAQEB9VgxOYLyC5dFixbBw8MDX331FVasWOHUj01nuNSSEAIvvfQSPD098a9//QsHDx586CQkpcThw4exYcMGaDQazJw5E02bNrVRxWQOIQR69uyJYcOGQa/X47333kNGRsYjA6b8e+7evYsnn3wSY8aM4cUDVUkIgTFjxmD69OkwGo1YtGgRtmzZ4rQT/AyXWhJC4KmnnkK/fv1QXFyMlStXVuq9SCmRk5ODv/zlL8jNzcXTTz/NuRYH4erqilmzZiE4OBhJSUlYsmRJlRtaGo1GbN68Gdu2bYOHhwdmz57NhRpULVdXV/zlL3/BiBEjUFBQgBkzZmDHjh1OGTAMlzpwc3PDa6+9Bk9PT+zZswfx8fGmK1y9Xo8FCxbg4MGD8PPzw8KFC+Ht7W3jiskcQgi0b98es2bNgouLCz777DPTRqPlpJT48ccf8fbbb8NgMGDs2LEYMmQILx6oRo0aNcLKlSvRr18/ZGVlYdKkSdi8eTMMBoNTTfIzXOpACIGnn34ao0aNQklJCWbNmoXvv/8e169fx+zZs7Fq1Sq4uLhgzpw5iIqK4onHgSiKgsmTJ2PcuHHQ6/WYNWsW5s6di9TUVKSnp2PVqlUYN24cMjIy0KtXLyxYsIBbvZBZhBAICgrCunXrTAEzdepUvPHGG7h8+TLKyspsXaIqNLYuwNG5urpi/vz5SE5OxvHjx/H888/D29sbmZmZ0Gg0mD59Ol5++WXeUOeAPDw88MEHH0Cv1yMuLg5Lly7F6tWr4erqapqH6dmzJ9auXYugoCBePJDZhBBo3rw5Nm3ahDfffBP//Oc/8cknnyAuLg5Dhw5FSEiIrUusM57x6kgIgdDQUGzatAnPPfccFEWBTqdDy5YtsXTpUixcuJDP83BQQgj4+Phg1apV+OCDDxAREYGCggJkZ2cjODgYr7/+OuLj4xEeHs5gIYuV92BWr16NVatWoUOHDsjNzUVxcbFT9IKdpudSPoFuqz9KQEAAPvvsM6SkpCA/Px9hYWFo2rQpioqKzF7P3lCf+6Ama7WDl156Cc899xxSU1NhMBjQsmVLBAcHQ1EU5OTkqPqz2A7qxtbngtoYPnw4+vXrh6NHjyIgIAD79++3dUl15hThIoRAixYt8PHHHzv0g7eKiorQpEkTW5fhsNgOiG3AfgjpBMsTpJROs8pCCMEhllpiOyC2AfvhFOFCRET2hRP6RESkOqeYc6kPFTt4jtxVpdpjGyC2AfOx52KmkydPQlEUnDx50talkI2wDRDbgPkYLkREpDqGCxERqY7hQkREqmO4EBGR6hguRESkOoYLERGpjuFCRESqY7gQEZHqGC5ERKQ6hgsREamO4UJERKpjuBARkeoYLkREpDqGCxERqY7hQkREqmO4mEFKiZycHABATk6O0zyjm8zHNkBsA5ZhuFRDp9NhxYoViIiIwMCBAwEAAwcOREREBFasWAGdTmfbAsnq2AaIbaB2hGT8VikxMREjR45EYWEhgKofb+rp6Yn4+HjExMTYpEayLrYBYhuoPYZLFRITExEbGwspJYxG4yO/T1EUCCGQkJDAhuVk2AaIbaBuGC4P0Ol0CA0NRVFRUbUNqpyiKNBqtUhLS4OPj4/1CySrYxsgtoG645zLA9avX4/CwkKzGhQAGI1GFBYWYsOGDVaujOoL2wCxDdQdey4VSCkRERGB1NRUi1aCCCEQFhaGlJQU0zgsOSa2AWIbUAfDpYLMzEwEBgbW6f3+/v4qVkT1jW2A2AbUwWGxCvLz8+v0/ry8PJUqIVthGyC2AXUwXCrw9vau0/sbNWqkUiVkK2wDxDagDoZLBf7+/ggPD7d4vFQIgfDwcPj5+VmpMqovbAPENqAOhksFQghMnz69Vu999dVXOYnnBNgGiG1AHZzQfwDXtxPbALEN1B17Lg/w8fFBfHw8hBBQlOr/ecrvzN22bRsblBNhGyC2gbpjuFQhJiYGCQkJ0Gq1EEI81M0t/5pWq8WuXbsQHR1to0rJWtgGiG2gbhgujxATE4O0tDQsX74cYWFhlV4LCwvD8uXLkZ6ezgblxNgGiG2g9jjnYgYpJbKzs5GXl4dGjRrBz8+Pk3YNDNsAsQ1YhuFCRESq47AYERGpjuFCRESqY7gQEZHqGC5ERKQ6hgsREamO4UJERKpjuBARkeoYLkREpDqGCxERqY7hQkREqmO4EBGR6hguRESkOoYLERGpjuFCRESq+3+xy2M5kM1RfAAAAABJRU5ErkJggg==\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.plot(beta=10)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "d6d85bda", - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.7" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/tutorials/.ipynb_checkpoints/Example_14_knot_supervised-checkpoint.ipynb b/tutorials/.ipynb_checkpoints/Example_14_knot_supervised-checkpoint.ipynb deleted file mode 100644 index 2cd85919..00000000 --- a/tutorials/.ipynb_checkpoints/Example_14_knot_supervised-checkpoint.ipynb +++ /dev/null @@ -1,188 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": 1, - "id": "0893a344", - "metadata": {}, - "outputs": [], - "source": [ - "import pandas as pd\n", - "import numpy as np\n", - "import torch\n", - "from kan import *\n", - "import copy\n", - "\n", - "\n", - "seed = 42\n", - "torch.manual_seed(seed)\n", - "np.random.seed(seed)\n", - "\n", - "# Download data: https://colab.research.google.com/github/deepmind/mathematics_conjectures/blob/main/knot_theory.ipynb#scrollTo=l10N2ZbHu6Ob\n", - "df = pd.read_csv(\"./knot_data.csv\")\n", - "df.keys()\n", - "\n", - "X = df[df.keys()[1:-1]].to_numpy()\n", - "Y = df[['signature']].to_numpy()\n", - "\n", - "# normalize X\n", - "X_mean = np.mean(X, axis=0)\n", - "X_std = np.std(X, axis=0)\n", - "X = (X - X_mean[np.newaxis,:])/X_std[np.newaxis,:]\n", - "input_normalier = [X_mean, X_std]\n", - "\n", - "# normalize Y\n", - "max_signature = np.max(Y)\n", - "min_signature = np.min(Y)\n", - "Y = ((Y-min_signature)/2).astype(int)\n", - "n_class = int((max_signature-min_signature)/2+1)\n", - "output_normalier = [min_signature, 2]\n", - "\n", - "dataset = {}\n", - "num = X.shape[0]\n", - "n_feature = X.shape[1]\n", - "train_ratio = 0.8\n", - "train_id_ = np.random.choice(num, int(num*train_ratio), replace=False)\n", - "test_id_ = np.array(list(set(range(num))-set(train_id_)))\n", - "\n", - "dtype = torch.get_default_dtype()\n", - "dataset['train_input'] = torch.from_numpy(X[train_id_]).type(dtype)\n", - "dataset['train_label'] = torch.from_numpy(Y[train_id_][:,0]).type(torch.long)\n", - "dataset['test_input'] = torch.from_numpy(X[test_id_]).type(dtype)\n", - "dataset['test_label'] = torch.from_numpy(Y[test_id_][:,0]).type(torch.long)\n" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "id": "e262aeca", - "metadata": { - "scrolled": true - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "checkpoint directory created: ./model\n", - "saving model version 0.0\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - " train_loss: 7.68e-01 | reg: 3.85e+01 | train_acc: 7.62e-01 | test_acc: 7.66e-01 |: 100%|█| 100/100 " - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "saving model version 0.1\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "\n" - ] - } - ], - "source": [ - "def train_acc():\n", - " return torch.mean((torch.argmax(model(dataset['train_input']), dim=1) == dataset['train_label']).float())\n", - "\n", - "def test_acc():\n", - " return torch.mean((torch.argmax(model(dataset['test_input']), dim=1) == dataset['test_label']).float())\n", - "\n", - "model = KAN(width=[n_feature,1,n_class], grid=5, k=3, seed=seed)\n", - "model.fit(dataset, lamb=0.005, batch=1024, loss_fn = nn.CrossEntropyLoss(), metrics=[train_acc, test_acc], display_metrics=['train_loss', 'reg', 'train_acc', 'test_acc']);" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "id": "2254d060", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.plot(scale=1.0, beta=0.2)\n", - "\n", - "n = 17\n", - "for i in range(n):\n", - " plt.gcf().get_axes()[0].text(1/(2*n)+i/n-0.005,-0.02,df.keys()[1:-1][i], rotation=270, rotation_mode=\"anchor\")" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "id": "54778a24", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "Text(0, 0.5, 'feature importance')" - ] - }, - "execution_count": 6, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "scores = model.feature_score\n", - "features = list(df.keys()[1:-1])\n", - "\n", - "y_pos = range(len(features))\n", - "plt.bar(y_pos, scores)\n", - "plt.xticks(y_pos, features, rotation=90);\n", - "plt.ylabel('feature importance')" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.7" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/tutorials/.ipynb_checkpoints/Example_15_knot_unsupervised-checkpoint.ipynb b/tutorials/.ipynb_checkpoints/Example_15_knot_unsupervised-checkpoint.ipynb deleted file mode 100644 index ca9b7175..00000000 --- a/tutorials/.ipynb_checkpoints/Example_15_knot_unsupervised-checkpoint.ipynb +++ /dev/null @@ -1,163 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": 29, - "id": "0893a344", - "metadata": {}, - "outputs": [], - "source": [ - "import pandas as pd\n", - "import numpy as np\n", - "import torch\n", - "from kan import *\n", - "import copy\n", - "\n", - "\n", - "seed = 2024\n", - "torch.manual_seed(seed)\n", - "np.random.seed(seed)\n", - "\n", - "dtype = torch.get_default_dtype()\n", - "\n", - "# Download data: https://colab.research.google.com/github/deepmind/mathematics_conjectures/blob/main/knot_theory.ipynb#scrollTo=l10N2ZbHu6Ob\n", - "df = pd.read_csv(\"./knot_data.csv\")\n", - "df.keys()\n", - "\n", - "X = df[df.keys()[1:]].to_numpy()\n", - "mean = np.mean(X, axis=0)\n", - "std = np.std(X, axis=0)\n", - "X = (X - mean[np.newaxis,:])/std[np.newaxis,:]\n", - "\n", - "# normalize X\n", - "X_mean = np.mean(X, axis=0)\n", - "X_std = np.std(X, axis=0)\n", - "X = (X - X_mean[np.newaxis,:])/X_std[np.newaxis,:]\n", - "input_normalier = [X_mean, X_std]\n", - "\n", - "dataset = {}\n", - "num = X.shape[0]\n", - "n_feature = X.shape[1]\n", - "train_ratio = 0.8\n", - "train_id_ = np.random.choice(num, int(num*train_ratio), replace=False)\n", - "test_id_ = np.array(list(set(range(num))-set(train_id_)))\n", - "dataset['train_input'] = torch.from_numpy(X[train_id_]).type(dtype)\n", - "dataset['test_input'] = torch.from_numpy(X[test_id_]).type(dtype)\n", - "\n", - "def construct_contrastive_dataset(tensor):\n", - " y = copy.deepcopy(tensor)\n", - " for i in range(y.shape[1]):\n", - " y[:,i] = y[:,i][torch.randperm(y.shape[0])]\n", - " return y\n", - "\n", - "dataset['contrastive_train_input'] = construct_contrastive_dataset(dataset['train_input'])\n", - "dataset['contrastive_test_input'] = construct_contrastive_dataset(dataset['test_input'])\n", - "\n", - "dataset['train_label'] = torch.cat([torch.ones(dataset['train_input'].shape[0],1), torch.zeros(dataset['contrastive_train_input'].shape[0],1)], dim=0)\n", - "dataset['train_input'] = torch.cat([dataset['train_input'], dataset['contrastive_train_input']], dim=0)\n", - "\n", - "dataset['test_label'] = torch.cat([torch.ones(dataset['test_input'].shape[0],1), torch.zeros(dataset['contrastive_test_input'].shape[0],1)], dim=0)\n", - "dataset['test_input'] = torch.cat([dataset['test_input'], dataset['contrastive_test_input']], dim=0)\n" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "e262aeca", - "metadata": { - "scrolled": true - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "checkpoint directory created: ./model\n", - "saving model version 0.0\n", - "saving model version 0.1\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - " train_loss: 1.70e-01 | reg: 1.34e+01 | train_acc: 9.68e-01 | test_acc: 9.69e-01 |: 74%|▋| 74/100 [" - ] - } - ], - "source": [ - "def train_acc():\n", - " return torch.mean(((model(dataset['train_input']) > 0.5) == dataset['train_label']).float())\n", - "\n", - "def test_acc():\n", - " return torch.mean(((model(dataset['test_input']) > 0.5) == dataset['test_label']).float())\n", - "\n", - "model = KAN(width=[n_feature,1,1], grid=5, k=3, seed=seed)\n", - "model.fix_symbolic(1,0,0,'gaussian',fit_params_bool=False)\n", - "model.fit(dataset, lamb=0.001, batch=1024, metrics=[train_acc, test_acc], display_metrics=['train_loss', 'reg', 'train_acc', 'test_acc']);" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "1ede24f0", - "metadata": {}, - "outputs": [], - "source": [ - "# seed = 2024\n", - "model.plot(scale=1.0)\n", - "\n", - "n = 18\n", - "for i in range(n):\n", - " plt.gcf().get_axes()[0].text(1/(2*n)+i/n-0.005,-0.02,df.keys()[1:][i], rotation=270, rotation_mode=\"anchor\")" - ] - }, - { - "cell_type": "code", - "execution_count": 25, - "id": "a3fb6b7a", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "# seed = 0\n", - "model.plot(scale=1.0)\n", - "\n", - "n = 18\n", - "for i in range(n):\n", - " plt.gcf().get_axes()[0].text(1/(2*n)+i/n-0.005,-0.02,df.keys()[1:][i], rotation=270, rotation_mode=\"anchor\")" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.7" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/tutorials/.ipynb_checkpoints/Example_1_function_fitting-checkpoint.ipynb b/tutorials/.ipynb_checkpoints/Example_1_function_fitting-checkpoint.ipynb deleted file mode 100644 index 86e59806..00000000 --- a/tutorials/.ipynb_checkpoints/Example_1_function_fitting-checkpoint.ipynb +++ /dev/null @@ -1,288 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "5d904dee", - "metadata": {}, - "source": [ - "# Example 1: Function Fitting\n", - "\n", - "In this example, we will cover how to leverage grid refinement to maximimze KANs' ability to fit functions" - ] - }, - { - "cell_type": "markdown", - "id": "94056ef6", - "metadata": {}, - "source": [ - "intialize model and create dataset" - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "id": "0a59179d", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Directory already exists: ./model\n" - ] - } - ], - "source": [ - "from kan import *\n", - "\n", - "seed = 1\n", - "torch.manual_seed(seed)\n", - "\n", - "# initialize KAN with G=3\n", - "model = KAN(width=[2,1,1], grid=3, k=3, seed=1)\n", - "\n", - "# create dataset\n", - "f = lambda x: torch.exp(torch.sin(torch.pi*x[:,[0]]) + x[:,[1]]**2)\n", - "dataset = create_dataset(f, n_var=2)" - ] - }, - { - "cell_type": "markdown", - "id": "cb1f817e", - "metadata": {}, - "source": [ - "Train KAN (grid=3)" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "id": "a87b97b0", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 1.46e-02 | test loss: 1.53e-02 | reg: 5.15e+00 : 100%|██| 20/20 [00:04<00:00, 4.78it/s]\n" - ] - } - ], - "source": [ - "model.fit(dataset, opt=\"LBFGS\", steps=20);" - ] - }, - { - "cell_type": "markdown", - "id": "52294efd", - "metadata": {}, - "source": [ - "The loss plateaus. we want a more fine-grained KAN!" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "id": "3f1cfc9d", - "metadata": {}, - "outputs": [], - "source": [ - "# initialize a more fine-grained KAN with G=10\n", - "model = model.refine(10)" - ] - }, - { - "cell_type": "markdown", - "id": "f3cc5079", - "metadata": {}, - "source": [ - "Train KAN (grid=10)" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "id": "898b1794", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 2.93e-04 | test loss: 3.16e-04 | reg: 5.15e+00 : 100%|██| 20/20 [00:04<00:00, 4.92it/s]\n" - ] - } - ], - "source": [ - "model.fit(dataset, opt=\"LBFGS\", steps=20);" - ] - }, - { - "cell_type": "markdown", - "id": "bcdc0d3d", - "metadata": {}, - "source": [ - "The loss becomes lower. This is good! Now we can even iteratively making grids finer." - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "id": "a1c25e8a", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Directory already exists: ./model\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 1.44e-02 | test loss: 1.51e-02 | reg: 6.29e+00 : 100%|██| 50/50 [00:09<00:00, 5.17it/s]\n", - "train loss: 2.73e-04 | test loss: 3.15e-04 | reg: 6.31e+00 : 100%|██| 50/50 [00:05<00:00, 8.56it/s]\n", - "train loss: 1.63e-05 | test loss: 2.15e-05 | reg: 6.31e+00 : 100%|██| 50/50 [00:07<00:00, 6.42it/s]\n", - "train loss: 1.46e-06 | test loss: 4.63e-06 | reg: 6.31e+00 : 100%|██| 50/50 [00:12<00:00, 3.92it/s]\n", - "train loss: 1.06e+00 | test loss: 1.63e+00 | reg: 5.62e+00 : 100%|██| 50/50 [00:36<00:00, 1.37it/s]\n" - ] - } - ], - "source": [ - "grids = np.array([3,10,20,50,100])\n", - "\n", - "seed = 2\n", - "torch.manual_seed(seed)\n", - "\n", - "train_losses = []\n", - "test_losses = []\n", - "steps = 50\n", - "k = 3\n", - "\n", - "for i in range(grids.shape[0]):\n", - " if i == 0:\n", - " model = KAN(width=[2,1,1], grid=grids[i], k=k, seed=seed)\n", - " if i != 0:\n", - " model = model.refine(grids[i])\n", - " results = model.fit(dataset, opt=\"LBFGS\", steps=steps)\n", - " train_losses += results['train_loss']\n", - " test_losses += results['test_loss']\n", - " " - ] - }, - { - "cell_type": "markdown", - "id": "6be8ba55", - "metadata": {}, - "source": [ - "Training dynamics of losses display staircase structures (loss suddenly drops after grid refinement)" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "id": "156f68a2", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "plt.plot(train_losses)\n", - "plt.plot(test_losses)\n", - "plt.legend(['train', 'test'])\n", - "plt.ylabel('RMSE')\n", - "plt.xlabel('step')\n", - "plt.yscale('log')" - ] - }, - { - "cell_type": "markdown", - "id": "6ed8d26b", - "metadata": {}, - "source": [ - "Neural scaling laws" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "id": "8301085c", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "Text(0, 0.5, 'RMSE')" - ] - }, - "execution_count": 9, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "n_params = 3 * grids\n", - "train_vs_G = train_losses[(steps-1)::steps]\n", - "test_vs_G = test_losses[(steps-1)::steps]\n", - "plt.plot(n_params, train_vs_G, marker=\"o\")\n", - "plt.plot(n_params, test_vs_G, marker=\"o\")\n", - "plt.plot(n_params, 100*n_params**(-4.), ls=\"--\", color=\"black\")\n", - "plt.xscale('log')\n", - "plt.yscale('log')\n", - "plt.legend(['train', 'test', r'$N^{-4}$'])\n", - "plt.xlabel('number of params')\n", - "plt.ylabel('RMSE')" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "2c521e5e", - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.7" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/tutorials/.ipynb_checkpoints/Example_2_speed_up-checkpoint.ipynb b/tutorials/.ipynb_checkpoints/Example_2_speed_up-checkpoint.ipynb deleted file mode 100644 index c6f9c60d..00000000 --- a/tutorials/.ipynb_checkpoints/Example_2_speed_up-checkpoint.ipynb +++ /dev/null @@ -1,371 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "5d904dee", - "metadata": {}, - "source": [ - "# Example 2: Speeding up\n", - "\n", - "Major concerns about KANs are their slow running speed and huge memory. This is mainly due to the naive implementation of the first version. We have done a few efficiency updates in the new release. \n", - "\n", - "* We update the spline evaluation method, inspired from the efficientKAN repo.\n", - "* We provide a method to speed up training, simply call model = model.speed(). In this speed mode, the symbolic front is skipped (which will save computation time), and intermediate activations are not saved (which save memory)." - ] - }, - { - "cell_type": "markdown", - "id": "bc709a73", - "metadata": {}, - "source": [ - "### Below we compare the normal mode and the speed mode" - ] - }, - { - "cell_type": "markdown", - "id": "94056ef6", - "metadata": {}, - "source": [ - "The Normal mode without speeding" - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "id": "0a59179d", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Directory already exists: ./model\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 1.45e+01 | test loss: 2.91e+01 | reg: 6.95e+03 : 100%|██| 10/10 [00:06<00:00, 1.66it/s]\n" - ] - } - ], - "source": [ - "from kan import *\n", - "\n", - "seed = 1\n", - "torch.manual_seed(seed)\n", - "\n", - "# initialize KAN with G=3\n", - "model = KAN(width=[2,30,30,1], grid=3, k=3, seed=1)\n", - "\n", - "# create dataset\n", - "f = lambda x: torch.exp(torch.sin(torch.pi*x[:,[0]]) + x[:,[1]]**2)\n", - "dataset = create_dataset(f, n_var=2)\n", - "model.fit(dataset, opt=\"Adam\", steps=10, update_grid=False);" - ] - }, - { - "cell_type": "markdown", - "id": "ffe10f34", - "metadata": {}, - "source": [ - "The speed mode" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "id": "1233ed39", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Directory already exists: ./model\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 1.53e+01 | test loss: 2.52e+01 | reg: 0.00e+00 : 100%|██| 10/10 [00:00<00:00, 10.03it/s]\n" - ] - } - ], - "source": [ - "from kan import *\n", - "\n", - "seed = 1\n", - "torch.manual_seed(seed)\n", - "\n", - "# initialize KAN with G=3\n", - "model = KAN(width=[2,30,30,1], grid=3, k=3, seed=1)\n", - "model = model.speed()\n", - "\n", - "# create dataset\n", - "f = lambda x: torch.exp(torch.sin(torch.pi*x[:,[0]]) + x[:,[1]]**2)\n", - "dataset = create_dataset(f, n_var=2)\n", - "model.fit(dataset, opt=\"Adam\", steps=10, update_grid=False);" - ] - }, - { - "cell_type": "markdown", - "id": "414ec95d", - "metadata": {}, - "source": [ - "However, the speed mode does not save intermediate activations." - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "id": "2c521e5e", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "[]" - ] - }, - "execution_count": 3, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "model.acts_scale" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "id": "1aa0659e", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "[tensor([[ 7.6856, 16.2691],\n", - " [15.3356, 4.7036],\n", - " [ 1.7350, 0.5762],\n", - " [13.7567, 0.6547],\n", - " [ 2.0027, 1.1051],\n", - " [ 1.3028, 28.8967],\n", - " [ 3.1434, 0.9702],\n", - " [20.5310, 0.9579],\n", - " [10.5522, 3.1435],\n", - " [ 1.8792, 2.7931],\n", - " [27.2825, 5.3805],\n", - " [ 5.1843, 0.9814],\n", - " [ 5.2057, 5.5816],\n", - " [ 9.4054, 0.3300],\n", - " [ 8.7830, 1.9473],\n", - " [ 1.6670, 5.7267],\n", - " [ 6.4220, 28.1405],\n", - " [18.4623, 10.7246],\n", - " [33.4021, 0.9486],\n", - " [ 1.6931, 3.2448],\n", - " [ 7.3774, 16.6039],\n", - " [ 1.5200, 1.4180],\n", - " [ 6.8054, 0.9019],\n", - " [ 1.9008, 1.0136],\n", - " [ 0.4024, 4.3498],\n", - " [ 4.3653, 5.3940],\n", - " [ 4.2989, 3.5657],\n", - " [ 4.5522, 0.4301],\n", - " [ 0.5495, 0.2769],\n", - " [24.9288, 4.5964]]),\n", - " tensor([[4.4354e+00, 5.6637e-02, 4.2377e+00, 8.8434e-01, 3.7175e+00, 8.9901e-01,\n", - " 2.0012e+00, 7.9254e-01, 1.5717e+00, 8.3965e-12, 9.4111e-01, 2.7945e+00,\n", - " 2.3130e-01, 1.0786e+00, 2.0924e+00, 1.8385e-06, 7.8853e-01, 1.8605e+00,\n", - " 1.0704e+00, 3.3280e-08, 9.1237e-01, 1.3574e-14, 7.1152e-14, 9.1538e-01,\n", - " 1.8903e+00, 2.8360e+00, 1.7248e-09, 2.8683e+00, 1.6309e+00, 2.7791e-01],\n", - " [2.7741e+00, 1.7333e-01, 4.0277e+00, 6.1746e-01, 2.4397e+00, 8.5001e-01,\n", - 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" 3.6569e-01, 2.2733e+00, 6.4200e-02, 1.0380e-06, 6.1132e-01, 4.4997e-01,\n", - " 1.0535e+00, 4.2998e-09, 8.5013e-01, 2.4626e-14, 6.8968e-14, 4.9795e+00,\n", - " 1.6740e+00, 1.8986e+00, 1.9389e-09, 3.5265e+00, 3.2236e+00, 7.8258e-02],\n", - " [2.6591e+00, 7.9823e-02, 3.3652e+00, 8.2330e-01, 4.3604e+00, 8.3722e-01,\n", - " 4.1932e+00, 1.5685e+00, 1.5388e+00, 1.2528e-11, 8.2972e-01, 2.9508e+00,\n", - " 3.8028e-01, 2.0163e+00, 3.1038e+00, 1.0608e-06, 5.5961e-01, 2.1320e+00,\n", - " 1.9303e+00, 3.6078e-08, 1.0092e+00, 1.7196e-14, 1.1954e-13, 8.1442e+00,\n", - " 2.6229e+00, 2.9574e+00, 1.0425e-09, 3.0335e+00, 1.5076e+01, 2.3407e-01],\n", - " [2.6346e+00, 1.0826e-01, 2.3256e+00, 9.8563e-01, 2.0622e+00, 9.6685e-01,\n", - " 6.1216e-01, 5.1432e-01, 1.1011e+00, 8.4878e-12, 9.0861e-01, 1.4643e+00,\n", - " 2.2213e-01, 1.7886e+00, 3.5816e+00, 2.0015e-06, 3.5627e-01, 2.7970e+00,\n", - " 1.4387e+00, 3.5869e-08, 8.4443e-01, 1.2872e-14, 1.2780e-13, 5.5024e+00,\n", - " 3.9389e+00, 2.7262e+00, 9.9537e-10, 1.9653e+00, 2.5938e+00, 2.3006e-01],\n", - " [4.2678e+00, 1.9903e-02, 3.8227e+00, 6.5938e-01, 5.1752e+00, 3.6617e-01,\n", - " 6.0096e-01, 1.4982e+00, 1.9169e-01, 3.5221e-12, 6.0433e-01, 1.9519e+00,\n", - " 2.4719e-01, 7.8279e-01, 1.5779e+00, 9.7484e-07, 1.5838e-01, 1.8141e+00,\n", - " 1.8866e+00, 2.7451e-08, 1.6971e+00, 5.8982e-15, 4.5401e-14, 1.6402e+00,\n", - " 1.5726e+00, 2.7363e+00, 5.7048e-10, 3.0334e+00, 5.7986e+00, 6.6437e-02],\n", - " [4.1412e+00, 1.4827e-01, 6.5206e+00, 1.1945e+00, 3.8590e+00, 1.6201e+00,\n", - " 3.2736e+00, 1.6046e+00, 1.9894e+00, 1.7346e-11, 1.3626e+00, 3.9205e+00,\n", - " 1.6820e-01, 2.1799e+00, 7.2165e-01, 2.0063e-06, 8.0039e-01, 3.0162e+00,\n", - " 1.6942e+00, 1.3580e-09, 1.2274e+00, 2.5733e-14, 1.4663e-13, 5.4378e+00,\n", - " 3.3899e+00, 3.3364e+00, 1.7597e-09, 1.8485e+00, 1.8154e+00, 4.0665e-01],\n", - " [1.7175e+00, 9.6331e-02, 4.2227e+00, 5.7334e-01, 1.6949e+00, 1.0976e+00,\n", - " 2.8887e+00, 1.0743e+00, 7.4266e-01, 8.8706e-12, 7.6744e-01, 7.8671e-01,\n", - " 2.5058e-01, 1.9733e+00, 2.5570e+00, 1.9162e-06, 4.6122e-01, 2.3221e+00,\n", - " 1.5756e+00, 3.2919e-08, 9.5216e-01, 1.4645e-14, 1.3467e-13, 4.6060e+00,\n", - " 1.9789e+00, 3.2284e+00, 8.3445e-10, 3.0383e+00, 1.8058e+00, 2.2853e-01],\n", - " [2.3204e+00, 1.6079e-01, 2.7723e+00, 6.1717e-01, 2.4717e+00, 7.9156e-01,\n", - " 7.0750e-01, 1.0640e+00, 3.3363e-01, 1.1368e-11, 9.3369e-01, 5.7124e-01,\n", - " 1.1679e-01, 1.8633e+00, 2.7119e+00, 1.8430e-06, 3.3116e-01, 2.0191e+00,\n", - " 2.3322e+00, 3.1797e-08, 1.0036e+00, 1.4443e-14, 1.2325e-13, 5.0863e+00,\n", - " 2.7657e+00, 2.8643e+00, 1.1279e-09, 2.7509e+00, 2.0778e+00, 2.2715e-01],\n", - " [4.6174e+00, 4.5653e-02, 4.3581e+00, 3.4115e-01, 3.7316e+00, 6.1426e-01,\n", - " 1.0902e+00, 1.8812e+00, 1.2897e+00, 1.0610e-11, 5.2964e-01, 1.1701e+00,\n", - " 9.6843e-02, 1.2852e+00, 3.5282e+00, 1.2262e-06, 2.7302e-01, 8.1845e-01,\n", - " 9.4639e-01, 1.5690e-08, 5.3619e-01, 4.6107e-15, 1.3429e-13, 2.3928e+00,\n", - " 4.2985e+00, 6.9696e-01, 5.2320e-10, 1.5178e+00, 1.6299e+00, 2.9501e-01],\n", - " [4.5484e+00, 8.3778e-02, 4.0664e+00, 1.2043e+00, 3.1747e+00, 2.1460e+00,\n", - " 2.4384e+00, 1.0987e+00, 3.9380e-01, 1.9647e-11, 2.0224e+00, 3.7419e-01,\n", - " 3.0129e-02, 1.9915e-01, 4.4007e+00, 1.3485e-06, 1.2234e+00, 5.2071e+00,\n", - " 1.1689e+00, 3.9132e-08, 7.5287e-01, 2.6759e-14, 5.8267e-14, 4.0041e+00,\n", - " 6.2831e-01, 1.0457e+00, 1.4252e-09, 1.8536e+00, 8.2997e-01, 4.2599e-01],\n", - " [4.9122e+00, 1.4955e-02, 5.1885e+00, 5.4270e-01, 2.5415e+00, 4.8918e-01,\n", - " 2.9930e+00, 1.8103e+00, 4.5803e-01, 2.7637e-12, 1.7019e-01, 9.7642e-01,\n", - " 1.8464e-01, 5.7884e-01, 4.5927e+00, 9.7754e-07, 2.2764e-01, 7.6643e-01,\n", - " 3.6063e-01, 1.1229e-08, 3.1307e-01, 3.3746e-15, 7.7355e-14, 1.9151e+00,\n", - " 4.0543e+00, 1.0374e+00, 3.7742e-10, 1.4498e+00, 3.4803e+00, 1.4359e-01],\n", - " [4.4921e+00, 2.6448e-02, 2.4570e+00, 6.0745e-01, 3.1722e+00, 3.1898e-01,\n", - " 6.5110e-01, 1.4345e+00, 2.2791e-01, 1.4314e-12, 1.8415e-01, 1.7340e-01,\n", - " 7.6617e-02, 2.1373e+00, 1.6081e+00, 7.4545e-07, 2.1735e-01, 4.0267e-01,\n", - " 2.8377e-01, 1.2359e-08, 4.7323e-01, 5.2978e-15, 6.7723e-14, 1.9885e+00,\n", - " 4.3402e+00, 9.6498e-01, 3.8371e-10, 9.8866e-01, 2.1566e+00, 1.9733e-01]]),\n", - " tensor([[8.0486e-23, 0.0000e+00, 6.6755e-20, 0.0000e+00, 0.0000e+00, 0.0000e+00,\n", - " 0.0000e+00, 1.6415e-10, 0.0000e+00, 2.9900e-02, 2.8350e-16, 1.0642e-20,\n", - " 2.1081e-22, 2.0802e-01, 8.2120e-14, 0.0000e+00, 6.9611e-08, 0.0000e+00,\n", - " 2.0685e-02, 0.0000e+00, 7.1422e-22, 0.0000e+00, 1.9870e-02, 1.4698e-02,\n", - " 0.0000e+00, 1.3654e-33, 4.5392e-02, 0.0000e+00, 1.3617e-01, 1.4280e-13]])]" - ] - }, - "execution_count": 4, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "model.save_plot_data = True\n", - "model.get_act(dataset)\n", - "model.acts_scale" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.7" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/tutorials/.ipynb_checkpoints/Example_3_deep_formula-checkpoint.ipynb b/tutorials/.ipynb_checkpoints/Example_3_deep_formula-checkpoint.ipynb deleted file mode 100644 index f68b7673..00000000 --- a/tutorials/.ipynb_checkpoints/Example_3_deep_formula-checkpoint.ipynb +++ /dev/null @@ -1,320 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "134e7f9d", - "metadata": {}, - "source": [ - "# Example 3: Deep Formulas\n", - "\n", - "The orignal Kolmogorov-Arnold theorem says that it suffices to have 2-Layer function composition (inner and outer functions), but the functions might be non-smooth or even fractal. We generalize KA representation to arbitrary depths. An example a 2-Layer KAN (with smooth activations) is unable to do is: $f(x_1,x_2,x_3,x_4)={\\rm exp}({\\rm sin}(x_1^2+x_2^2)+{\\rm sin}(x_3^2+x_4^2))$, which requires at least 3-Layer KANs." - ] - }, - { - "cell_type": "markdown", - "id": "7854503c", - "metadata": {}, - "source": [ - "### Three-layer KAN" - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "id": "2075ef56", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 2.39e-02 | test loss: 2.39e-02 | reg: 6.00e+00 : 100%|██| 20/20 [00:18<00:00, 1.09it/s]\n" - ] - } - ], - "source": [ - "from kan import *\n", - "\n", - "# create a KAN: 2D inputs, 1D output, and 5 hidden neurons. cubic spline (k=3), 5 grid intervals (grid=5).\n", - "model = KAN(width=[4,2,1,1], grid=3, k=3, seed=1)\n", - "f = lambda x: torch.exp((torch.sin(torch.pi*(x[:,[0]]**2+x[:,[1]]**2))+torch.sin(torch.pi*(x[:,[2]]**2+x[:,[3]]**2)))/2)\n", - "dataset = create_dataset(f, n_var=4, train_num=3000)\n", - "\n", - "# train the model\n", - "model.fit(dataset, opt=\"LBFGS\", steps=20, lamb=0.002, lamb_entropy=2.);" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "id": "d81e80f7", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.plot(beta=10)" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "id": "b8c880c1", - "metadata": {}, - "outputs": [], - "source": [ - "model = model.prune(edge_th=5e-2)" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "id": "585b699c", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.plot()" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "id": "ee39c97b", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 4.80e-03 | test loss: 5.09e-03 | reg: 5.47e+00 : 100%|██| 50/50 [00:46<00:00, 1.08it/s]\n", - "train loss: 1.83e-03 | test loss: 1.85e-03 | reg: 5.63e+00 : 100%|██| 50/50 [00:48<00:00, 1.04it/s]\n", - "train loss: 1.42e-04 | test loss: 1.41e-04 | reg: 5.63e+00 : 100%|██| 50/50 [00:40<00:00, 1.23it/s]\n", - "train loss: 1.68e-05 | test loss: 1.67e-05 | reg: 5.63e+00 : 100%|██| 50/50 [00:36<00:00, 1.35it/s]\n", - "train loss: 5.21e-06 | test loss: 4.05e-06 | reg: 5.63e+00 : 100%|██| 50/50 [00:46<00:00, 1.08it/s]\n" - ] - } - ], - "source": [ - "grids = [3,5,10,20,50]\n", - "#grids = [5]\n", - "\n", - "train_rmse = []\n", - "test_rmse = []\n", - "\n", - "for i in range(len(grids)):\n", - " model = KAN(width=[4,2,1,1], grid=grids[i], k=3, seed=0).initialize_from_another_model(model, dataset['train_input'])\n", - " results = model.fit(dataset, opt=\"LBFGS\", steps=50, stop_grid_update_step=30);\n", - " train_rmse.append(results['train_loss'][-1].item())\n", - " test_rmse.append(results['test_loss'][-1].item())" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "id": "94f3930a", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "[0.00480159604921937, 0.0018265467369928956, 0.0001422630884917453, 1.6824298654682934e-05, 5.211888037592871e-06]\n", - "[0.005089011508971453, 0.001845053629949689, 0.00014135859964881092, 1.6715566744096577e-05, 4.054095370520372e-06]\n" - ] - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "import numpy as np\n", - "import matplotlib.pyplot as plt\n", - "\n", - "n_params = np.array(grids) * (4*2+2*1+1*1)\n", - "plt.plot(n_params, train_rmse, marker=\"o\")\n", - "plt.plot(n_params, test_rmse, marker=\"o\")\n", - "plt.plot(n_params, 10000*n_params**(-4.), color=\"black\", ls=\"--\")\n", - "plt.legend(['train', 'test', r'$N^{-4}$'], loc=\"lower left\")\n", - "plt.xscale('log')\n", - "plt.yscale('log')\n", - "print(train_rmse)\n", - "print(test_rmse)" - ] - }, - { - "cell_type": "markdown", - "id": "f53644fe", - "metadata": {}, - "source": [ - "### Two-layer KAN\n", - "\n", - "Now we show that a 2 two-layer KAN performs much worse for this task" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "id": "ae7b654b", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 6.72e-02 | test loss: 6.97e-02 | reg: 7.20e+00 : 100%|██| 20/20 [00:30<00:00, 1.52s/it]\n" - ] - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "from kan import KAN, create_dataset\n", - "import torch\n", - "\n", - "# create a KAN: 2D inputs, 1D output, and 5 hidden neurons. cubic spline (k=3), 5 grid intervals (grid=5).\n", - "model = KAN(width=[4,9,1], grid=3, k=3, seed=0)\n", - "f = lambda x: torch.exp((torch.sin(torch.pi*(x[:,[0]]**2+x[:,[1]]**2))+torch.sin(torch.pi*(x[:,[2]]**2+x[:,[3]]**2)))/2)\n", - "dataset = create_dataset(f, n_var=4, train_num=3000)\n", - "\n", - "# train the model\n", - "model.fit(dataset, opt=\"LBFGS\", steps=20, lamb=0.002, lamb_entropy=2.);\n", - "model.plot(beta=10)" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "id": "869828f2", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 3.59e-02 | test loss: 5.23e-02 | reg: 1.04e+01 : 100%|██| 50/50 [01:18<00:00, 1.57s/it]\n", - "train loss: 2.28e-02 | test loss: 3.10e-02 | reg: 1.04e+01 : 100%|██| 50/50 [01:25<00:00, 1.70s/it]\n", - "train loss: 8.34e-03 | test loss: 1.09e-02 | reg: 1.03e+01 : 100%|██| 50/50 [01:32<00:00, 1.86s/it]\n", - "train loss: 5.71e-03 | test loss: 1.06e-02 | reg: 9.86e+00 : 100%|██| 50/50 [01:45<00:00, 2.10s/it]\n", - "train loss: 1.03e-02 | test loss: 6.30e-02 | reg: 9.68e+00 : 100%|██| 50/50 [01:57<00:00, 2.36s/it]\n" - ] - } - ], - "source": [ - "grids = [3,5,10,20,50]\n", - "\n", - "train_rmse = []\n", - "test_rmse = []\n", - "\n", - "for i in range(len(grids)):\n", - " model = KAN(width=[4,9,1], grid=grids[i], k=3, seed=0).initialize_from_another_model(model, dataset['train_input'])\n", - " results = model.fit(dataset, opt=\"LBFGS\", steps=50, stop_grid_update_step=30);\n", - " train_rmse.append(results['train_loss'][-1].item())\n", - " test_rmse.append(results['test_loss'][-1].item())" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "id": "4f0a99fd", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "[0.035936225205659866, 0.02279285155236721, 0.00833611935377121, 0.005708411335945129, 0.010341067798435688]\n", - "[0.05229281634092331, 0.031011207029223442, 0.010879972018301487, 0.010645035654306412, 0.06304473429918289]\n" - ] - }, - { - "data": { - "image/png": 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HhWObxkDf+YD3K2x91iAMLwwvorufXYiTN4SNJf+9loKHecVVfs4vYzqgYzN71RfDyb1E+ikvXeggOr+xtPXZFOjysfDvnreRNQ7DC8OLRtl18S4mbIuo8rpVbwbglQA17sjKyb1E+kFWAoRvEoJL/kPhnPcgoO88YcE50kg1+f0t8qIdpA8cq7nQ3c9nbqGhrRmCXOupZ5VfiURof3TrXHZy752zwG/DObmXSBfEhwmtzymRwrFjK2Fei3tXcesileLIC6mdTK5Al8WHcS+zoNyE3Yr4NbLB253dMcC3gfr3XeLkXiLdkHG7tPX5T+HYrB7QYwYQNBqQ8n26NuBtI4YXjfN3ZDI++PECAJQJMI/GV2YMbIm4eznYGXEXRaWr/DpamWB4B1cMbd+kXNu1yhXlAhd/5OReIm1TnC+0PR9fCZTkC63Pbd4Wggtbn7UKwwvDi0aqzjovD3IK8cvZRPxw6hZSswsBAMaGBhgc0BCju7jBy1nN/085uZdIOygUwgJzBz8HMkvfcLh2EW4ROfuIWxs9F4YXhheNVd0VdotK5Nh/JRkbT8Tj8p1M5flOzezxdmd39PRyhIEq26qfxsm9RJor5arQ+pwQJhxbNxIm47YazNZnLaaX4SU0NBShoaGQyWSIjY1leNERCoUCFxIfYuPxBPwVmQx56d9WN3tzjOrkhtfbNIalujeLvB8j3E669CtX7iUSU146cHSRMEftUetz54lA5wn8d6gD9DK8PMKRF91152Eetp66hV/OJiKroAQAYGViiDfaNsaoTm5obKfmH16c3EskDrkMCN8MHJ4P5KcL57xfAfrMA+q5iloaqQ7DC8OLTssrKsH2C3ex6UQ8bt7PBQAYSIA+3k4Y3dkd7d3t1NNq/Qgn9xLVnYQTwi2ilCvCsaN3aetzN3HrIpVjeGF40QtyuQL/xd3HphMJOBZ7X3neu4E13u7ijmD/BjAxVOO8FE7uJVKfzDvCZNyrO4RjU1uhg6jN22x91lEMLwwveicuJRubTiZgx4U7KCgWWq0dLI3xv/auGNbBFfWt1NhqrZzcuwaI/evx+UbtgM4fAZ4DOLmXqLqK84V/S2HLH7c+B40WgouFGrYPIY3B8MLworcy8orwy9nb+OFUgrIl21hqgGB/F4zu7AafhjbqLYCTe4mej0IBXNsDHJzx+Hasa2fgxS+BBn7i1kZ1guGF4UXvFcvk+DvyHjaeiMfFxAzl+Xbudni7szv6eDupdgfrp3FyL1H1pV4T5rXE/yccWzcsbX1+la3PeoThheGFnnAx8SE2nUjA/ivJKCnttW5UzwyjOrnhjbaNYW1qpL4X5+ReosrlPwSOfgmc/Q5QyACpidD23GUiYGwhdnVUxxhe1BheUlJS4OTkpPLnJfVLzszH1lO38PPZRGTkFQMALIylGNKmMUZ2coO7gxp/WMpKgOg9wInVQNKF0pOc3Et6Si4DLvwA/Dv3cetzy2Cg73ygnpuopZF4GF7UFF6uXr2KoKAgvPfee5g7dy5sbW1V+vxUN/KLZPgz4i42Ho9HXGoOAGFkupeXI0Z3dkenZvbqa7Xm5F7Sd7dOAX9NBe5dFo7rtwT6fwk07S5qWSQ+hhc1hZdFixbhs88+AwA4Ojpi6dKlGD58uHrXFCG1USgUOH49DZtOJOBwdKryvKeTFd7u4oZXAhrC1EiNQYKTe0mfZN4FDs0CIv8Qjk1tSluf32HrMwFgeFHrbaN///0X48aNQ3R0NACgS5cuWLt2Lfz9/VX+WlR3bt7PweaTCfgj/A7yimQAADsLYwxt1wTDO7rCydpUfS/Oyb2ky4oLgFOlrc/FeQAkQNAooOdM/t2mMhhe1Dxht6ioCCtXrsTcuXORm5sLAwMDTJ8+HQsWLFDL61Hdycwvxm/nbmPzyQTczcgHABgaSDDQrwFGd3aHf2Nb9b24cnJvKJBxSzjHyb2krRQKIHofcOCzx3+fm3QUVsdtwDd7VB7DSx11G92+fRuTJ0/G77//jq+++gqTJk1S6+tR3SmRyXEoKgWbTiTgbEK68nyQaz283dkd/Vo5wVBqoJ4X5+Re0nap0cDf04CbR4VjKxeh9dnnNbY+U6UYXuq4Vfq///5Dp06dYGQktNyeOXMG5ubm8PX1rZPXJ/W6cicTm07EY8/lJBTLhH8uLjamGNHJDW+1bQIbczW1WnNyL2mb/IzS1udvH7c+dxoPdJ3E1meqEsOLiOu8FBYWws/PDzdu3MD48ePxxRdfwMZGzau6Up1IzSrAj2cS8dPpW3iQK0ywNTOS4rWghhjVyR0ejpbqe3FO7iVNJpcBF7cKrc95D4RzXgOF1mc7d3FrI63B8CJieElPT8d7772H7du3AwCcnZ2xbNkyDB06lF1JOqKgWIbdl5Kw8Xg8ou9lK89396yPtzu7o2tzB/X9v+bkXtI0iaeF1ufkS8Kxg6fQ+tysp7h1kdZheNGAFXYPHDiA8ePHIy4uDgDQrVs3hIaGwsfHR7SaSLUUCgVO30zHxhPx+OdaCh79S/JwtMTozm54tXUjmBmr6bZOUS5w8afSlXs5uZdEkJUEHJoNXPlNODaxAXp8CrR9F5CqcdVq0lkMLxoQXgDhFtJXX32F+fPnIz8/H1KpFBcvXuRcGB1060EuNp9MwO/n7yCnsAQAYGNmhLfaNcGIjq5wsTVTzwtzci/VteIC4HQocOwroDgXgAQIHAH0msWRP6oVhhcNCS+P3Lp1Cx9//DFyc3Px999/8/aRDssuKMbv5+9g88kEJKbnAQCkBhL093HG213cEdiknnpemJN7Sd0UCiDmL+DAp8DDBOFc4/ZC67NLa1FLI93A8KJh4eWR/Px8mJkJ78DT09MxZswYzJs3D97e3iJXRqomkyvw7zWh1frUzQfK8/6NbfF2ZzcM8G0AI3W1WnNyL6na/Rjg7+nAjcPCsVUDoM88wPd1tj6TyjC8aGh4edK4ceMQGhoKQ0NDTJw4EbNmzYKVlZXYZZEaRCVlYdOJeOyKSEKRTA4AcLY2xfCOrhjargnqWRir54U5uZdqqyATOLoYOPsNIC8BpMbCnKqukwETNXbXkV5ieNGC8JKQkICJEydi165dAICGDRti+fLlGDJkCG8r6ai0nEL8fCYRP5y6hbScQgCAiaEBXg1siNGd3dHCSU3hlZN7qabkciDiR+CfOUBemnDOcwDQb4EwikekBgwvWhBeHtm3bx8++ugj3Lx5EwDQq1cvrF27Fl5eXiJXRupSWCLDvsvJ2HgiHpF3s5TnuzZ3wNud3fFCi/owMFBDgOXkXqqOxDOlrc8RwrFDC+DFLwGPXqKWRbqP4UWLwgsAFBQUYMmSJVi0aBEKCgrw3nvv4ZtvvhG7LFIzhUKB87ceYuPxeBy4eg/y0n+JTR0sMKqzG14LbAQLEzXstsvJvVSRrGTgn9nA5W3CsYk10H060O49tj5TnWB40bLw8sjNmzfx+eefY9WqVXBwEOYj5OTkwMLCgreSdNzt9Dz8cCoBv567jewCodXaytQQb7ZtjBEd3dDYTk2TbGsyuVcuE0JPTgpg6QS4dmLI0QUlhcDpdcB/Sx+3PrceBvSaDVjWF7s60iMML1oaXp6mUCjQv39/yGQyrF27Fp6enmKXRGqWW1iC7RfuYNOJBMSn5QIADCRAv1ZCq3Ub13rqCbJVTe69dVLYaC8r6fHnWLsALy4GvF9WfT2kWhUFT4kBEPu3sOtzunDbGo3aCa3PDQPFrZf0EsOLjoSXmJgY+Pv7o7CwEEZGRpgyZQpmzJgBCwtucKbr5HIFjsamYtOJBITFpSnP+zS0xtud3THQzwXGhmpota5ocq+BESAvruDi0hD1xg8MMJosanf54GnpCFg6A/culx47A33mAn5vsPWZnkkmV+BsfDpSswvgaGWKdu52kKpojp5Wh5fbt29j+PDhSE1NhaGhIT7//HMMGTKk2p+vS+EFAG7cuIGPPvoI+/fvBwA0btwYK1euxODBg3krSU/E3MvG5pPx2HHhLgpLhFbr+lYmGN7BFUPbN4GDpYnqX/TR5N7jq4Dki8++1tQW6DkDMDAEJFLhHb3EQLil9OjP5c6V/tfgycelFVwjqeTznnis3Oc94/We/Fx9ELUb+G0EgEp+zBsYlu76PBkw4VIN9Gx/RyZjzp4oJGcWKM81sDHF7GBvvOjToNbPr9XhJTk5GSkpKQgICEBqaioCAwMRExNT7dEGXQsvgHD7aM+ePfjoo49w65bwbrhfv37YsmULnJycRK6O6kp6bhF+OZuIH04lICVLaLU2NjTAK/4uGN3ZHd4uavj7Hn8M2BKs+ufVBBWGntJgU2HoqSxkVRSWKgpozwh2z/t5zwqEABC2HCjMqvx7YOkETLrGuUtUpb8jk/HBjxfKxeBHbwPWDwusdYDR6vDyND8/P+zbtw+NGzeu1vW6GF4eycvLw5dffonFixejSZMmiIyMhImJGt51k0Yrlsmx/0oyNp5IwKXbGcrzHZvaY3RnN/Rq6aSyYVxc+QPY/k7V17kECnNgFPLHH3JZ6Z9lQoeT8vjRuUfXKB4fV/vznjp+8vMqG2Wgio3cC7h3FbsK0mAyuQJdFh8uM+LyJAkAZxtTHJ/Ws1Y/e2ry+7vGfZjHjh3D0qVLER4ejuTkZOzcuRODBg0qc826deuwdOlSJCcno1WrVli5ciW6dq35P47z589DLpdXO7joOnNzc8ydOxfDhw9Henq6MriUlJTgn3/+Qb9+/XgrSQ8YSQ3wSkBDvBLQEBcShVbrvyLv4dTNBzh18wGa2JljVCc3DGnTCFamtWxxtazmyF6fuZrzC1ChqCAEySsOS+WCkeI5P6+KQFXhsZo/L/0mkHiq6u9XTor6/5+Q1sovkuH38NuVBhdAeLuQnFmAs/Hp6NjMvk7qqnF4yc3Nhb+/P0aPHo3XXnut3OPbtm3DxIkTsW7dOnTu3BnffPMN+vfvj6ioKDRp0gQAEBQUhMLCwnKfe/DgQbi4uAAAHjx4gBEjRmDDhg01LVHnNW/evMzx2rVr8fHHH6N///5YvXo1PDw8RKqM6lpgk3oIHFoPSRn52Hr6Fn4+k4jE9DzM3RuF5Ydi8UabxhjVyQ1N7J+z1dq1kzCikpWMikc0JMLjrp1q82WolkQi3ELR91sh8WHAloFVX1fdgEo6L7ugGFFJWYhMysLVu5mITMrE9dQc5RpUVUnNrjzgqFqtbhtJJJJyIy/t27dHYGAg1q9frzzXsmVLDBo0CIsWLarW8xYWFqJPnz4YM2YMhg8fXuW1TwahrKwsNG7cWCdvG1Vm0aJFmD17NoqLi2FsbIxp06Zh+vTpMDfnBnz6Jq+oBDsv3sWmEwm4npoDQPhd3rulE97u7I4OTe1qPjqnnPQJlA0w7DbSaHIZsNKn6uA58QqDnh56mFuEyKRMRN7NQmRSJqKSspTLMzzN2tQIWQUVdRyW9cuYDrUaeamzOS9Ph5eioiKYm5vj999/x+DBg5XXTZgwAREREfjvv/+qfE6FQoGhQ4fC09MTX3zxRZXXf/HFF5gzZ0658/oUXgAgNjYW48ePx8GDBwEAbm5uWLVqFYKDg3krSQ8pFAqExaVh44l4HI25rzzv5WyFt7u442V/F5ga1eAXVkXtttYNhWXjGVw0F4MnAUjNKngcVO5m4mpSFu5m5Fd4bUNbM7RysYZPQxv4NLSGj4sN7C1N0GXxYdzLLKgsBtf5nBeVhpekpCQ0bNgQJ06cQKdOj4eRFy5ciC1btiAmJqbK5zx+/Di6desGPz8/5bmtW7fC19e3wus58vKYQqHAjh07MHHiRNy5cwcAMHPmTMybN0/kykhM11NzsPlkPLaH30V+sQwAYG9hjP91cMWwDk3gaGVavSfiCrvaicFTbygUCtzNyEfk3SxcTcpE5N1MRCZl4X52+WkaAODuYKEMKq1crNHKxQZ2lexy/6jbCKgwBmtXt1Fl4eXkyZPo2LGj8roFCxZg69atiI6Oft6XqjZd7jaqrtzcXMyfPx+rV6/GmTNn4OPjI3ZJpAEy84rx67lEbDmZgKTSyXdGUgmC/Vzwdhd3+DS0EblCUhsGT50jlyuQ8CBXmJ+SlImrpbd/MvLK394xkAAejpbwcbFBq4Y28HGxhreLdY0n9OvMOi/quG1UWwwvjz148AD29o/vPy5ZsgTe3t4YOLAak/hIZ5XI5DhwNQWbTsTj/K2HyvPt3OwwurMb+ng7wVBafvVeda6sSUSVK5HJceN+bulIihBUopKzkFNYUu5aI6kELZys4OMi3PZp1dAGLZ2tYWasmrCqKSvsqnTLWmNjYwQFBeHQoUNlwsuhQ4fwyiuvqPKlqBqeDC6XL1/GZ599BplMhuDgYKxatQru7u4iVkdiMZQa4CW/BnjJrwEu3c7AphPx2Hs5GWcT0nE2IR0Nbc0wqpMb3mjbGDZmwjszdb/jIiJBYYkMcSk5yqASeTcL15KzlKtrP8nUyAAtG1g/DiouNmjhZKWerUNKSQ0kddYO/Sw1HnnJycnB9evXAQCtW7fG8uXL0aNHD9jZ2aFJkybYtm0bhg8fjq+//hodO3bEt99+i++++w5Xr16Fq6urWr4IAAgNDUVoaChkMhliY2M58vKUnJwczJs3D8uXL0dJSQlMTU3x6aefYurUqTA1reacB9JZKVkF2HrqFn4+m4j0XGF3aXNjKV4PaoSm9S0wZ3eUWlfWJNJH+UUyRCU/np9yNSkLsSnZKJaV/7VsaWIIb5fHQcWnoQ2aOlhUOEqqrdR62+jo0aPo0aNHufMjR47E5s2bAQiL1C1ZsgTJycnw8fHBihUr0K1bt5q8zHPjbaNnu3btGsaNG4fDhw8DAJo1a4bVq1djwIABIldGmqCgWIZdEXex8XgCYlKyq7xeVV0GRLou69EaKqUhJfJuJm7cr3gNFVtzo9L5KY/Cig1c7cxhoOP/xnRqe4CaYnipmkKhwG+//YZJkyYhKSkJ1tbWSEhIQL169cQujTSEQqHAqRsPsOxgDC4kZlR5fW3XdyDSJem5RaWjKVmlc1QykfAgr8JrHa1MhLZkF2t4l46qNLQ108slLkSb80LaQSKR4P/+7/8wYMAAzJs3D25ubmWCS3FxMYyMarmsPGk1iUSCTh4OGJlTiAuJEVVev2BfFLo0r4/mjpZo7mSJZvUtYWHCHy+k2xQKBVKzC4X5KaXtyVWtoeLzxGhKKxdrOFrztv3z4E8XPWZlZYUlS5aUObd//35MmDABa9aswYsvvihSZaQpqrsGTGTpkuJPamhrhuZOlqWBxgrNHS3h4WhZ+/2WiESgUChw52F+mRGVyLtZSMupeg0VHxchqNSrZA0VqjmduW3ECbuq0a1bN4SFhQEABg8ejBUrVqh1ojVptke7yVa2siYgLHg3vpcHbqTmIi41G9dTc5CWU1TpczawMYWHoyWaO1o9DjeOVrAxZ6ghzVBmDZUnun4y8yteQ6W5o5Vyfkqr51xDhTjnhXNeaiErKwtz5szBqlWrIJPJYGZmhpkzZ2Ly5MnKXaxJvzzPyprpuUW4npqDuNRsxKXkKP+cklXxu1QAqG9lUhpkLOFROlLT3NES9pb8e0fqUyKT4/r9HOXS+VGli77lFsnKXWsklcDT2arMYm9eKlxDRd8xvDC81FpkZCRCQkJw7NgxAMJO1t9++y26d+8ubmEkClWt85KZX4zrqTm4Xhpq4lKFYFPZHAEAsLMwVs6lae5YevvJyRL1LU30clIjPb/CEhli7+WUjqQIS+dHa9AaKvqO4YXhRSUUCgV+/vlnTJkyBffu3cOuXbvw8svcC0VfqXNlzZzCEmF0JiW7dJRGGKm5nV55qLExM1KGGo/SUNPcyRLO1qYMNYS8ohJcS85+vMfPXWENlZIKepMtTQzLbUbormNrqGgDhheGF5XKzMzEtm3bMGbMGOUvhYsXL6JVq1YwNuYENFKfvKIS3Lyfq7z99Gik5taD3ArXxwCEX0QejpaPR2tKb0G52Jjp/DoZ+iqroBhXn+j2edYaKvXMjUo7fR4HlSZ6sIaKNmB4YXhRq/v378PT0xOOjo5Yu3YtevfuLXZJpGcKimWIT8sVwkxKNmJThJGahAd5kFWSasyNpfAo7Xhq/sRITaN65lxgT4s8yCkUAsoTmxHeqsYaKq0aCu3JLjYcmdNUXOeF1CouLg7GxsaIiYlBnz59MGTIECxfvhyNGjUSuzTSE6ZGUrRsYI2WDcr+gCsqkSPhQW7pKE12abjJwc20HOQVyXD5TiYu38ks8zkmhgZoVt9S2fnkUdoF5WpnztsGInp6DZVHi70lPTHv6kmN6pmV2YywlYt1tVv9SfvozMgLW6XrVmZmJmbPno01a9ZALpfDwsICs2bNwsSJE3kriTROiUyOW+l5pZ1PQqiJS8nBjfs5FU7WBABjqQHcHSweTxQuDTeu9hactKlij9ZQUe6anJT1zDVUmjpYKLt9Hi32ZmvOnzvajreNeNuozly6dAkhISE4ceIEAKBVq1Y4f/48N3skrSCTK3A7PU85Qfj6E/Nq8ovLt8oCgKGBBG4OFuXaut0dLGBqxJbZqsjlCsQ/yC2zx0/k3UxkFZSUu/bpNVR8GtqgZQMrrqGioxheGF7qlFwux9atWzF16lQMGTIEa9euFbskolqRyxW4m5FfZq2aR6Emp7D8L1lA+EXram9RdrKwoxWa1bfU23VAnl5D5WqSsI5KRWuoGEsNhDVUStuSW3ENFb3D8MLwIoqMjAxIJBLY2NgAAKKjo7F3715MmDCBeyWRTlAoFLiXVfBEmCmdLJySXeHIAQBIJEDjeubK9WmUa9U46tb+TwXFMsSmZD+en1LFGireDZ5YOr+hNZo7cg0VfcfwwvAiOoVCgb59++Kff/6Bt7c31q5dix49eohdFpFaKBQK3M8uLJ1LUzqnpvTPD/PKLyn/SENbszIjNR6OVvBwtISNmWaHfWENlSzliEpkUhbiKllDxcrEEN5PraHStL4lO7yoHIYXhhfRKRQKbNmyBVOnTsX9+/cBAG+99RaWLVsGFxcXkasjqjsPcgqVYeb6E8HmfnblWyU4WZs8MUn48WTh552UWpsFBjPzi5VL5j8KKjfu56Ci3xyP1lB5NKLi09AajetxDRWqHoYXhheN8fDhQ8ycORNff/015HI5LC0tMWfOHIwfP563kkivZeQVKbueHm1oGZeSg3tZFbcCA4CDpckT82ket3XbWxhXunZJTbZ2eJBTKOwQXrrHz7PWUHGyNimzx49PQxs04BoqVAt6GV7YKq3ZLly4gA8//BBnzpwBAHz99dd4//33Ra6KSPNkFZTu//TEWjVxKc/e/6meuRGaO1qVzql5PFpz4dZDfPjThXI7gksgbLL5wQvNYGJkgMjS1WmTuYYKiUgvw8sjHHnRXHK5HJs2bcKWLVvwzz//KNeDUSgUfLdGVIXcwhLcuJ9TbrLw7Yd5Fd7CAR6HlOqSSAB3BwtlUPFxsYE311ChOsLwwvCi0Z4MK8XFxejWrRv+7//+D+PGjYOhoe50XxDVhfwiGW7czynT1n09NQfxabnVCi7dmjugh5dj6Roq1rDUoQ4o0i7cHoA02pOjLD/99BNOnz6N06dPY+PGjQgNDUXXrl1FrI5Iu5gZS5WTZJ+0Pfw2Jv9+ucrPfy2oEV4JaKiu8ojUgk31JKoRI0bg22+/hb29Pa5cuYJu3bphxIgRuHfvntilEWk1F1vzal3HuSukjRheSFQGBgYYM2YMYmJi8N5770EikWDr1q3w9PTE6tWrIZdXvO8MET1bO3c7ofunksclELqO2rnb1WVZRCrB8EIawd7eHt988w1Onz6NNm3aICsrC7t27eJEXqLnJDWQYHawNwCUCzCPjmcHe3OxONJKDC+kUdq1a4fTp0/j66+/xtq1a5XhJSMjAykpKSJXR6RdXvRpgPXDAuFsU/bWkLONKdYPCyy3zguRtmC3EWmFcePG4ccff8T8+fMxduxYdiUR1UBtVtglqis1+f2tMyMvoaGh8Pb2Rtu2bcUuhVSsqKgI586dQ2ZmJsaPH4+2bdvi5MmTYpdFpDWkBhJ0bGaPVwIaomMzewYX0noceSGtIJPJ8N133+Gzzz7Dw4cPAQCjR4/Gl19+CUdHR5GrIyKi2tLLkRfSbVKpFGPHjkVMTAzefvttAMCmTZvg6emJw4cPi1wdERHVJYYX0ir169fH999/j5MnTyIgIAAA4OPjI25RRERUpxheSCt17NgR58+fR1hYWJnbRmvWrEFaWpqIlRERkboxvJDWkkqlZUZd9uzZg48++ggtWrTAN998A5lMJmJ1RESkLgwvpDMcHR3h7++Phw8fYuzYsejQoQPOnTsndllERKRiDC+kM9q3b4/z589j9erVsLa2xvnz59G+fXu8//77ePDggdjlERGRijC8kE4xNDTE+PHjERMTgxEjRkChUODbb7/FgAEDoGOrAhAR6S2GF9JJzs7O2LJlC44dOwZfX1/MmjWL+yQREekIrrFOOq1r1664ePEipFKp8ty6detw5coVLFiwAHZ23FGXiEjb6MzIC7cHoMo8GVyys7MxY8YMfP3112jRogW+//57yOVyEasjIqKa4vYApHf+++8/hISE4OrVqwCEib7r1q1DYGCgyJUREekvbg9A9AwvvPACLl68iOXLl8PKygpnzpxBmzZt8OGHHyI9PV3s8oiIqAoML6SXjIyM8PHHHyM6OhpDhw6FQqHAN998g9u3b4tdGhERVYETdkmvubi44KeffsKYMWMQHh4Of39/5WMpKSlwcnISsToiIqoIR16IAHTv3h2TJ09WHkdGRsLV1RXjx49HRkaGeIUREVE5DC9EFdizZw8KCwuxdu1atGjRAps3b2ZXEhGRhmB4IarAp59+in///RdeXl64f/8+Ro8ejW7duuHSpUtil0ZEpPcYXogq0bNnT1y6dAlLliyBhYUFTpw4gcDAQMyYMUPs0oiI9BrDC9EzGBsb45NPPkF0dDTeeOMNyOVyODg4iF0WEZFe4yJ1RDVw7NgxdOzYEUZGRgCA06dPw9zcHH5+fiJXRkSk3bhIHZGadOvWTRlcCgsLMXLkSAQGBuLjjz9GZmamyNUREekHhhei55Sbmws/Pz/IZDKsXLkSXl5e+Omnn6Bjg5lERBqH4YXoOdnZ2eH333/HgQMH0KJFC9y7dw/Dhg1D9+7dERkZKXZ5REQ6S2fCC3eVJrH07dsXly9fxsKFC2FmZoZjx44hICAAV65cEbs0IiKdxAm7RCqUmJiIjz/+GHl5edi/fz8kEonYJRERaQVO2CUSSZMmTbB9+3bs2LFDGVwePHiAV199FVevXhW5OiIi3cDwQqQGZmZmyj/Pnj0bO3fuREBAAKZMmYLs7GwRKyMi0n4ML0RqNmXKFAwaNAglJSX46quv4OXlhV9//ZVdSUREz4nhhUjN3NzcsHPnTuzbtw/NmjVDUlIS3nrrLfTq1QtRUVFil0dEpHUYXojqyIABAxAZGYm5c+fC1NQUR44cwerVq8Uui4hI6zC8ENUhU1NTfP7554iKisKwYcOwYMEC5WPZ2dm8lUREVA0ML0QicHd3x9atW2Fvbw8AUCgUGDJkCPr06YPo6GiRqyMi0mwML0QaIDY2FkePHsW///4LPz8/TJ8+HTk5OWKXRUSkkRheiDSAp6cnoqKiMHDgQBQXF2Px4sVo2bIl/vjjD95KIiJ6CsMLkYZo2rQp9uzZg927d8PNzQ137tzBkCFD0K9fP6SkpIhdHhGRxmB4IdIwwcHBiIqKwqxZs2BiYoJbt27B1tZW7LKIiDQGwwuRBjIzM8OcOXNw9epV/PjjjzAxMQEAFBcXY//+/byVRER6jeGFSIM1a9aszE7pa9euxUsvvYT+/fsjLi5OxMqIiMTD8EKkRQoLC2FsbIwDBw7Ax8cHn3/+OfLy8sQui4ioTjG8EGmR6dOnIzIyEv369UNRURHmz58Pb29v7Nq1i7eSiEhvMLwQaZnmzZvjr7/+wo4dO9CkSRPcunULgwYNwqxZs8QujYioTjC8EGkhiUSCwYMHIyoqCp999hnMzc3x5ptvil0WEVGd0JnwEhoaCm9v7zKTG4l0nYWFBRYsWIDbt2+jVatWyvOLFy/Gnj17RKyMiEh9JAodu1GelZUFGxsbZGZmwtraWuxyiOrc5cuX0bp1a8jlcgwcOBCrVq1C06ZNxS6LiOiZavL7W2dGXohI0LRpU3zyyScwNDTE3r174e3tjTlz5iA/P1/s0oiIVILhhUjHWFpa4ssvv8Tly5fRq1cvFBYW4osvvoCPjw/27dsndnlERLXG8EKko1q2bIlDhw5h27ZtcHFxwc2bNzF06FA8fPhQ7NKIiGrFUOwCiEh9JBIJ3njjDfTv3x/z5s2Du7s76tWrp3y8uLgYRkZGIlZIRFRzHHkh0gNWVlZYsmQJPvjgA+W5/fv3o2XLlvjrr79ErIyIqOYYXoj01OLFi3Hjxg0MGDAAgwcPRkJCgtglERFVC8MLkZ7au3cvJk+eDKlUij///BPe3t5YsGABCgsLxS6NiOiZGF6I9JSVlRWWLVuGiIgIvPDCC8jPz8fMmTPh6+uLo0ePil0eEVGlGF6I9JyPjw+OHDmCn376Cc7OzoiLi0N2drbYZRERVYrhhYggkUgwdOhQxMTE4Ntvv0VwcLDysQsXLvBWEhFpFIYXIlKytrbGmDFjlMf3799Hr1694Ofnh0OHDolYGRHRYwwvRFSpuLg4mJiYIDY2Fn379sWQIUNw+/ZtscsiIj3H8EJElerUqRNiYmIwYcIEGBgY4I8//oCXlxcWL16MoqIiscsjIj3F8EJEz2RjY4OVK1fi4sWL6Ny5M/Ly8jB9+nQEBgaioKBA7PKISA8xvBBRtfj5+SEsLAxbtmyBo6MjunfvDlNTU7HLIiI9JFEoFAqxi1ClrKws2NjYIDMzE9bW1mKXQ6STMjIyIJFIYGNjAwCIjo7Gnj17MGHCBBgbG4tcHRFpo5r8/ubICxHVmK2trTK4KBQKjB8/HlOnTkVAQAAOHz4scnVEpOsYXoio1oYNG4b69evj2rVr6NWrF9566y3cvXtX7LKISEcxvBBRrUgkEowcORKxsbEYN24cDAwM8Ouvv8LLywtfffUViouLxS6RiHQMwwsRqYStrS3WrFmD8+fPo2PHjsjJycGUKVOwadMmsUsjIh3D8EJEKtW6dWscP34cGzduxAsvvIBRo0YpH9Ox/gAiEgnDCxGpnIGBAUaPHo0jR44ou4+KiorQsWNHrFixgreSiKhWGF6ISG0kEonyzz///DPOnDmDSZMmITAwEMeOHROxMiLSZgwvRFQnRowYgQ0bNsDe3h6RkZF44YUXMHz4cCQnJ4tdGhFpGYYXIqoTBgYGeOeddxAbG4uxY8dCIpHgxx9/hKenJ1auXAm5XC52iUSkJRheiKhO2dnZYf369Th79izatm2L7Oxs7N27t8wtJiKiZzEUu4CnZWdno2fPniguLoZMJsNHH32EMWPGiF0WEalYmzZtcPr0aXz//ffo0qWLMrxkZGSgsLAQTk5OIldIRJpK4/Y2kslkKCwshLm5OfLy8uDj44Nz587B3t6+Wp/PvY2ItFtISAh+/PFHzJ8/Hx988AEMDTXuPRYRqYFW720klUphbm4OACgoKIBMJuPaEER6oqioCOfPn0dWVhY++ugjtGnTBidOnBC7LCLSMDUOL8eOHUNwcDBcXFwgkUjw559/lrtm3bp1cHd3h6mpKYKCghAWFlaj18jIyIC/vz8aNWqEqVOnwsHBoaZlEpEWMjY2xsmTJ/H111+jXr16uHTpErp06YLRo0cjNTVV7PKISEPUOLzk5ubC398fa9eurfDxbdu2YeLEiZgxYwYuXryIrl27on///khMTFReExQUBB8fn3IfSUlJAIRlxi9duoT4+Hj8/PPPSElJec4vj4i0jVQqxfvvv4/Y2Fi8++67AIDNmzejRYsW3LGaiADUcs6LRCLBzp07MWjQIOW59u3bIzAwEOvXr1eea9myJQYNGoRFixbV+DU++OAD9OzZE0OGDKnw8cLCQhQWFiqPs7Ky0LhxY855IdIRp0+fRkhICOLj4xETE4P69euLXRIRqYFoc16KiooQHh6Ovn37ljnft29fnDx5slrPkZKSgqysLADCF3Ls2DF4enpWev2iRYtgY2Oj/GjcuPHzfwFEpHE6dOiAs2fPIiwsTBlcFAoFVq1ahfv374tcHRGJQaXhJS0tDTKZrFyLo5OTE+7du1et57hz5w66desGf39/dOnSBePGjYOfn1+l13/66afIzMxUfty+fbtWXwMRaR6pVIpWrVopj/fs2YOJEyeiRYsWWL9+PWQymYjVEVFdU0sP4tOLTSkUimovQBUUFISIiIhqv5aJiQlMTExqUh4RaTlnZ2cEBAQgIiICH374ITZs2IB169ahffv2YpdGRHVApSMvDg4OkEql5UZZUlNTueAUEalMu3btcP78eaxduxY2Nja4cOECOnTogDFjxiAtLU3s8ohIzVQaXoyNjREUFIRDhw6VOX/o0CF06tRJlS9FRHpOKpUiJCQEMTExGDlyJABgw4YNeOmll7g2FJGOq3F4ycnJQUREhPLWTnx8PCIiIpSt0JMmTcKGDRuwceNGXLt2DR9//DESExMxduxYlRb+tNDQUHh7e6Nt27ZqfR0i0ixOTk7YvHkzwsLC4Ofnhy+++IL7JBHpuBq3Sh89ehQ9evQod37kyJHYvHkzAGGRuiVLliA5ORk+Pj5YsWIFunXrppKCq8LtAYj0l0wmg1QqVR6vXbsWV65cwcKFC6u9xQgRiaMmv781bm+j2mJ4ISJA2OT10ZpPdnZ2+PLLL/HOO+/AwEDjdkUhImj53kZERKpgZWWFPXv2wNfXF+np6XjvvffQsWNHnD9/XuzSiKiWGF6ISGd17doVFy5cwIoVK2BlZYWzZ8+iXbt2+OCDD5Ceni52eUT0nHQmvHDCLhFVxNDQEBMnTkRMTAz+97//QaFQ4LvvvsOdO3fELo2InhPnvBCRXvnvv/8QHh6OSZMmKc/du3cPzs7OIlZFRJzzQkRUiRdeeKFMcImMjISbmxvGjRuHhw8filgZEVUXwwsR6bW9e/eisLAQoaGh8PT0xObNmyGXy8Uui4iegeGFiPTa9OnTcfjwYbRs2RL379/H6NGj0bVr1xrtsUZEdYvhhYj0Xo8ePRAREYGlS5fCwsICJ0+eRFBQED777DOxSyOiCjC8EBFB2JttypQpiI6Oxv/93/9BLpfD0dFR7LKIqAI6020UGhqK0NBQyGQyxMbGstuIiGolLCwMHTt2hKGhIQDg1KlTsLCwgJ+fn8iVEekmbg/AVmkiUqHCwkL4+vri5s2bGDduHObMmQMbGxuxyyLSKWyVJiJSodzcXAQEBEAmk2HVqlXw9PTE1q1boWPv/Yi0BsMLEVEV7Ozs8Ntvv+HgwYNo0aIFUlJSMGLECLzwwgu4cuWK2OUR6R2GFyKiaurTpw8uX76MRYsWwdzcHGFhYWjdujUDDFEd45wXIqLnkJiYiEmTJiE3Nxf79++HRCIRuyQircY5L0REatakSRP88ccf2LlzpzK4PHjwAIMHD0ZkZKTI1RHpNp0JL9xVmojEYGpqqvzzrFmz8OeffyIgIACTJ09GVlaWiJUR6S7eNiIiUpFbt27h448/xs6dOwEADRo0wFdffYU333yTt5WIqsDbRkREInB1dcWOHTuwf/9+eHh4IDk5GUOHDkWvXr0QFRUldnlEOoPhhYhIxfr3748rV65g3rx5MDU1xZEjR7BmzRqxyyLSGQwvRERqYGpqipkzZ+LatWsYPnw45s+fr3wsOzubC9wR1QLDCxGRGrm5ueGHH36Avb09AEChUOD1119H7969ce3aNZGrI9JODC9ERHUoNjYWx44dw+HDh+Hn54dp06YhJydH7LKItArDCxFRHfL09MTVq1cRHByMkpISLFmyBF5eXvj99995K4momhheiIjqWNOmTbF7927s3r0b7u7uuHv3Lt544w307dsXKSkpYpdHpPF0JrxwkToi0jbBwcG4evUqZs+eDRMTEyQmJsLW1lbssog0HhepIyLSADdu3EB6erryDVhxcTEOHjyIAQMGcIE70gtcpI6ISMs0a9aszMjxmjVrMHDgQLz44ouIjY0VsTIizcPwQkSkgYqLi2FsbIyDBw/C19cXM2bMQG5urthlEWkEhhciIg00bdo0XL16Ff3790dRUREWLlwIb29v7Ny5k11JpPcYXoiINJSHhwf27duHnTt3okmTJkhMTMSrr76KmTNnil0akagYXoiINJhEIsGgQYNw7do1zJgxAxYWFhg6dKjYZRGJit1GRERa5OHDh6hXr57yeNGiRfD29sbLL7/MriTSauw2IiLSUU8Gl0uXLmHmzJkYNGgQBg4ciBs3bohYGVHdYXghItJSHh4emDZtGoyMjLB//360atUKX3zxBfLz88UujUitGF6IiLSUhYUFFi5ciCtXrqB3794oLCzEnDlz0KpVK+zdu1fs8ojURmfCC7cHICJ95enpiYMHD+K3335Dw4YNER8fj2HDhuHhw4dil0akFpywS0SkQ3JycjBv3jy4u7tj7NixyvNFRUUwNjYWsTKiZ+OEXSIiPWVpaYnFixeXCS579+5Fy5YtsW/fPhErI1IdhhciIh23dOlS3Lx5EwMHDsQrr7yC+Ph4sUsiqhWGFyIiHbd3715MmTIFhoaG2L17N7y9vTFv3jwUFBSIXRrRc2F4ISLScVZWVli6dCkuXbqEHj16oKCgALNmzYKPjw+OHDkidnlENcbwQkSkJ7y9vfHvv//il19+QYMGDXDjxg3k5OSIXRZRjTG8EBHpEYlEgjfffBPR0dH47rvvEBwcrHwsPDwchYWFIlZHVD0ML0REesja2hrvvvuu8jg1NRW9e/eGr68vDh48KGJlRFVjeCEiIly/fh2mpqaIi4tDv3798PrrryMxMVHssogqxPBCRETo1KkToqOjMXHiREilUmzfvh0tW7bEl19+iaKiIrHLIyqD4YWIiAAANjY2WLFiBS5cuIAuXbogLy8Pn376KVq3bs22atIoDC9ERFSGn58fjh07hh9++AFOTk7o2bMnTE1NxS6LSIl7GxERUaUyMzMhkUiUP0+vXbuGPXv2YOLEidwriVRKL/c24q7SRESqZ2Njo/xFolAoMG7cOEybNg3+/v44fPiwyNWRvtKZ8BISEoKoqCicO3dO7FKIiHTWiBEjUL9+fURHR6NXr1548803cffuXbHLIj2jM+GFiIjUSyKRYOTIkYiNjcW4ceNgYGCAbdu2wcvLC8uWLUNxcbHYJZKeYHghIqIasbW1xZo1axAeHo6OHTsiJycHn3zyCTZt2iR2aaQnGF6IiOi5BAQE4Pjx49i4cSNeeOEFjB49WvmYjvWCkIZheCEioudmYGCA0aNH48iRIzAyMgIAFBUVoUOHDli+fDlvJZFaMLwQEVGtSSQS5Z9//vlnnD17FpMnT0br1q3x33//iVgZ6SKGFyIiUqkRI0bg+++/h4ODA65evYru3btj2LBhSE5OFrs00hEML0REpFIGBgZ4++23ERMTgw8++AASiQQ//fQTPD09sXLlSsjlcrFLJC3H8EJERGphZ2eHdevW4ezZs2jXrh2ys7Oxb9++MreYiJ6HodgFEBGRbmvTpg1OnTqFjRs3okuXLsrwkpGRgYKCAjg7O4tcIWkbjrwQEZHaGRgY4N1334WXl5fy3IwZM+Dp6YnVq1ejpKRExOpI2zC8EBFRnSsqKkJ4eDiysrIwYcIEBAUF4fjx42KXRVqC4YWIiOqcsbExTpw4gW+++QZ2dna4fPkyunbtilGjRiElJUXs8kjDMbwQEZEopFIp3nvvPcTExGDMmDGQSCTYsmULPD098e+//4pdHmkwiULH1nDOysqCjY0NMjMzldu4V0Qmk3Hlx+dkZGQEqVQqdhlEpGPOnDmDkJAQ3Lx5EzExMahfv77YJVEdqu7vb0APu40UCgXu3buHjIwMsUvRara2tnB2dmbLIxGpTPv27XHmzJkywUWhUGDVqlUYOnQoHB0dRa6QNIXejbwkJycjIyMDjo6OMDc35y/fGlIoFMjLy0NqaipsbW3RoEEDsUsiIh22a9cuDBo0CLa2tliwYAHef/99jvzqKI68VEImkymDi729vdjlaC0zMzMAQGpqKhwdHfmDhIjUxsXFBa1bt8bFixcREhKCDRs2YN26dejQoYPYpZGIdGbCbmhoKLy9vdG2bdtKr3k0x8Xc3LyuytJZj76HnDdEROrUtm1bnDt3DqGhobC1tcXFixfRsWNHvPvuu7h//77Y5ZFIdCa8hISEICoqCufOnavyWt4qqj1+D4morkilUnz44YeIiYnB6NGjAQDff/89Bg4cCB2b+UDVpDPhhYiIdJujoyM2btyIEydOICAgAHPmzOEbKT2lV3NeiIhI+3Xq1Anh4eEwMHj8/nvt2rW4fPkyFi5cCAcHBxGro7rAkZfnJJMrcOrGA+yKuItTNx5AJteeoUs3NzesXLlS7DKIiJ7bk8ElOzsbM2fOxHfffQdPT098++23kMvlIlZH6saRl+fwd2Qy5uyJQnJmgfJcAxtTzA72xos+6mkd7t69OwICAlQSOs6dOwcLC4vaF0VEpAGsrKywZ88ehISE4MqVK3j//fexYcMGhIaGPrOJg7QXR15q6O/IZHzw44UywQUA7mUW4IMfL+DvyGRR6lIoFNXelbV+/frsuCIindK1a1dcuHABK1euhLW1Nc6dO4f27dtj7NixePDggdjlkYrpfXhRKBTIKyqp1kd2QTFm776Kim4QPTr3xe4oZBcUV+v5qjtLftSoUfjvv/+watUqSCQSSCQSbN68GRKJBAcOHECbNm1gYmKCsLAw3LhxA6+88gqcnJxgaWmJtm3b4p9//inzfE/fNpJIJNiwYQMGDx4Mc3NzNG/eHLt3736+bygRkUgMDQ0xYcIEREdHY9iwYVAoFNiwYQPu3r0rdmmkYnp/2yi/WAbvWQdU8lwKAPeyCuD7xcFqXR81tx/Mjav+X7Bq1SrExsbCx8cHc+fOBQBcvXoVADB16lQsW7YMTZs2ha2tLe7cuYMBAwZg/vz5MDU1xZYtWxAcHIyYmBg0adKk0teYM2cOlixZgqVLl2LNmjX43//+h1u3bsHOzq5aXwsRkaZo0KABtm7dijFjxiA8PBx+fn7Kx5KTk7kyuA7Q+5EXbWBjYwNjY2OYm5vD2dkZzs7OylVt586diz59+qBZs2awt7eHv78/3n//ffj6+qJ58+aYP38+mjZtWuVIyqhRo/DWW2/Bw8MDCxcuRG5uLs6ePVsXXx4RkVp069YNH3/8sfL4ypUrcHNzw4cffoj09HQRK6Pa0vuRFzMjKaLm9qvWtWfj0zFqU9WL4G0e3Rbt3KsesTAzqv2y+m3atClznJubizlz5mDv3r1ISkpCSUkJ8vPzkZiY+MznefKdiYWFBaysrJCamlrr+oiINMW+fftQVFSE9evX4/fff8fixYsxatSoMp1LpB30/v+YRCKBubFhtT66Nq+PBjamqGxJJAmErqOuzetX6/lUsbjS011Dn3zyCbZv344FCxYgLCwMERER8PX1RVFR0TOfx8jIqOzXIpGw1ZCIdMr06dNx5MgReHt7Iy0tDe+88w46d+6Mixcvil0a1ZDeh5eakBpIMDvYGwDKBZhHx7ODvSE1UP2Kj8bGxpDJZFVeFxYWhlGjRmHw4MHw9fWFs7MzEhISVF4PEZE26t69OyIiIrBs2TJYWlri9OnTaNOmDT799FOxS6MaYHipoRd9GmD9sEA425iWOe9sY4r1wwLVts6Lm5sbzpw5g4SEBKSlpVU6KuLh4YEdO3YgIiICly5dwtChQzmCQkT0BCMjI0yePBnR0dF48803IZfL4eTkJHZZVAN6P+flebzo0wB9vJ1xNj4dqdkFcLQyRTt3O7WMuDwyZcoUjBw5Et7e3sjPz8emTZsqvG7FihV4++230alTJzg4OGDatGnIyspSW11ERNqqYcOG+OWXXxASEoIOHTooz588eRIWFhbw9/cXsTp6FolCx7bkzMrKgo2NDTIzM2FtbV3msYKCAsTHx8Pd3R2mpqaVPANVB7+XRKSLCgsL4ePjg5s3b2LcuHGYM2cObG1txS5LLzzr9/fTeNuIiIioVG5uLgIDAyGXy7F69Wp4eXlh69at1V5UlOoGwwsREVEpOzs7bNu2DYcOHYKnpydSUlIwYsQIdOvWDZcvXxa7PCrF8EJERPSU3r174/Lly/jyyy9hbm6O48ePIzAwEJGRkWKXRmB4ISIiqpCxsTGmTZuG6OhovP766+jbty9atWoldlkEhhciIqJnaty4MX7//Xfs2LFDubhoWloaBg0axJEYkTC8EBERVcOTnZWzZs3Crl27EBAQgMmTJ3NJijrG8EJERFRD06ZNw6uvvgqZTIbly5fDy8sLP//8M7uS6gjDCxERUQ25urpi+/bt+Ouvv+Dh4YHk5GT873//Q8+ePXH16lWxy9N5DC9ERETP6cUXX8SVK1cwf/58mJmZ4ejRowgNDRW7LJ3H8PK85DIgPgy48ofwX3nVmyYSEZHuMTU1xYwZMxAVFYURI0Zg/vz5yseysrJ4K0kNuLfR84jaDfw9DchKenzO2gV4cTHg/bJaXrJ79+4ICAjAypUrVfJ8o0aNQkZGBv7880+VPB8Rkb5zc3PDli1blMcKhQJDhgxBcXEx1q5dC29vbxGr0y0ceampqN3AbyPKBhcAyEoWzkftFqcuIiLSKLGxsTh27BiOHDkCf39/TJ06FTk5OWKXpRM0Nrzk5eXB1dUVU6ZMUe8LKRRAUW71PgqygL+mAqhoCLD03N/ThOuq83zVHEocNWoU/vvvP6xatQoSiQQSiQQJCQmIiorCgAEDYGlpCScnJwwfPhxpaWnKz/vjjz/g6+sLMzMz2Nvbo3fv3sjNzcUXX3yBLVu2YNeuXcrnO3r0aK2/lURE9JinpyeioqLw8ssvo6SkBEuXLoWXlxd+++033kqqJY3dVXrGjBmIi4tDkyZNsGzZsmp/Xo13lS7KBRa6qLL06vssCTC2qPKyzMxM9O/fHz4+Ppg7dy4AQCaTISAgAGPGjMGIESOQn5+PadOmoaSkBIcPH0ZycjKaNGmCJUuWYPDgwcjOzkZYWBhGjBgBAHjnnXeQlZWFTZs2ARD28zA2Nq526dxVmoio+vbu3YsJEybg5s2bAIBevXrhp59+gpOTk8iVaY6a7CqtkXNe4uLiEB0djeDgYK5eCMDGxgbGxsYwNzeHs7MzAGGBpMDAQCxcuFB53caNG9G4cWPExsYiJycHJSUlePXVV+Hq6goA8PX1VV5rZmaGwsJC5fMREZH6DBw4EL1798bixYuxaNEi3LlzB/Xq1RO7LK1V4/By7NgxLF26FOHh4UhOTsbOnTsxaNCgMtesW7cOS5cuRXJyMlq1aoWVK1eia9eu1X6NKVOmYOnSpTh58mRNy6s5I3NhBKQ6bp0Efnq96uv+9wfg2ql6r/2cwsPDceTIEVhaWpZ77MaNG+jbty969eoFX19f9OvXD3379sXrr7/OfyxERCIxNTXF7NmzMXz4cKSnpytHu4uLi3HgwAG89NJLyu0H6NlqPOclNzcX/v7+WLt2bYWPb9u2DRMnTsSMGTNw8eJFdO3aFf3790diYqLymqCgIPj4+JT7SEpKwq5du9CiRQu0aNHi+b+qmpBIhFs31flo1lPoKkJlf7kkgHVD4brqPF8t/pLK5XIEBwcjIiKizEdcXBy6desGqVSKQ4cO4a+//oK3tzfWrFkDT09PxMfHP/drEhFR7TVt2hRt2rRRHq9ZswbBwcHo168fYmJiRKxMe9R45KV///7o379/pY8vX74c77zzDt59910AwMqVK3HgwAGsX78eixYtAiCMGlTm9OnT+PXXX/H7778jJycHxcXFsLa2xqxZsyq8vrCwEIWFhcpjte4vYSAV2qF/GwEhwDw5Xag0iLz4pXCdihkbG0Mme7yWTGBgILZv3w43NzcYGlb8v1EikaBz587o3LkzZs2aBVdXV+zcuROTJk0q93xERCSOkpISmJiY4NChQ/D19cWUKVMwY8YMWFhUPSdSX6m026ioqAjh4eHo27dvmfN9+/at9i2gRYsW4fbt20hISMCyZcswZsyYSoPLo+ttbGyUH40bN67V11Al75eBN34ArBuUPW/tIpxX0zovbm5uOHPmDBISEpCWloaQkBCkp6fjrbfewtmzZ3Hz5k0cPHgQb7/9NmQyGc6cOYOFCxfi/PnzSExMxI4dO3D//n20bNlS+XyXL19GTEwM0tLSUFxcrJa6iYjo2aZOnYrIyEj0798fxcXFWLRoEVq2bIkdO3awK6kSKg0vaWlpkMlk5WZPOzk54d69e6p8KaVPP/0UmZmZyo/bt2+r5XXK8H4ZmBgJjNwLvPa98N+JV9QWXABhHpBUKoW3tzfq16+PoqIinDhxAjKZDP369YOPjw8mTJgAGxsbGBgYwNraGseOHcOAAQPQokULzJw5E1999ZVy1GzMmDHw9PREmzZtUL9+fZw4cUJttRMR0bN5eHhg3759+PPPP+Hq6orbt2/jtddew8yZM8UuTSOppdvo6QlHCoXiuSYhjRo1qsprTExMYGJiUuPnrjUDKeBe/UnItdWiRQucOnWq3PkdO3ZUeH3Lli3x999/V/p89evXx8GDB1VWHxER1Y5EIsErr7yCPn36YNGiRVixYgWGDh0qdlkaSaUjLw4ODpBKpeVGWVJTU9nLTkREVA3m5uaYN28e7ty5g1atWinPL1y4EH/++SdvJUHF4cXY2BhBQUE4dOhQmfOHDh1Cp07VaB0mIiIiAICtra3yz5cuXcLnn3+OwYMH46WXXsL169fFK0wD1Di85OTkKNtyASA+Ph4RERHKVuhJkyZhw4YN2LhxI65du4aPP/4YiYmJGDt2rEoLf1poaCi8vb3Rtm1btb4OERFRXfPw8MD06dNhZGSEv/76C61atcKsWbOQl5cndmmiqPH2AEePHkWPHj3KnR85ciQ2b94MQFikbsmSJUhOToaPjw9WrFiBbt26qaTgqtR4ewB6LvxeEhHVvdjYWIwfP145Z9HNzQ2rVq1CcHCw1i9wV5PtATR2b6PnxfBSN/i9JCISh0KhwI4dOzBx4kTcuXMHNjY2iI+P1/oV1LV+byMiIiKqmEQiwWuvvYYXX3wR8+fPh5ubW5ngUlRUVKONdrWRSifsEhERUd2wsLDAokWL8P777yvP7d27F15eXti7d6+IlamfzoQXTtglIiJ9t3TpUsTHxyM4OBgvv/yyzu5npzPhJSQkBFFRUTh37pzYpRAREYli3759mDp1KgwNDbFnzx54e3tj3rx5KCgoELs0ldKZ8EJERKTvLC0tsXjxYly+fBk9evRAQUEBZs2aBR8fHxw5ckTs8lSG4UWP5eXlwdXVFVOmTBG7FCIiUqGWLVvi33//xS+//IIGDRrgxo0byM3NFbsslWF40WMLFixA+/btxS6DiIjUQCKR4M0330RMTAw2bNiAgQMHKh87f/68Vt9KYnjRU3FxcYiOjsaAAQPELoWIiNTIysoK77zzjvI4NTUVvXv3hq+v7zM38NVkDC9aplu3bpBIJPjll1/KnF+3bh0cHR2r/TxTpkzBokWLVF0eERFpuBs3bsDc3BzXr19H//798dprrym3+NEWOhNe9KFVWqFQICIiAg0aNMD27dvLPHbhwgUEBgYqj4OCguDj41PuIykpCbt27UKLFi3QokWLuv4SiIhIZB07dkR0dDQmTZoEqVSKHTt2wMvLC4sWLUJhYaHY5VULtwfQIrGxsfD09ERoaCg++eQT3L9/H+bm5gCA1q1bY8CAAViwYEGVz/Ppp5/ixx9/hFQqRU5ODoqLizF58mTMmjWr2rVo+/eSiIiAyMhIhISE4NixYwCEib4XLlwQ5ed6TbYH0JmRl9rKzc2t9OPpSU3PujY/P79a1z6P8PBwmJqa4t1334W1tTX++usvAEBhYSGuXr1aZuTlWRYtWoTbt28jISEBy5Ytw5gxY2oUXIiISDf4+Pjg6NGj2Lp1K5ycnNCrVy+teEPK8FLK0tKy0o/XXnutzLWOjo6VXtu/f/8y17q5uVV43fO4cOEC/Pz8YGxsjMGDB+OPP/4AAFy+fBnFxcUICgp6vi+eiIj0lkQiwbBhwxATE1Nm9D4qKgqLFy9GUVGRiNVVjBszapHw8HDl6Mqrr76KV199FYWFhQgPD4ednR3c3Nxq/JyjRo1SbZFERKSVbGxslH9WKBQYN24cjhw5gk2bNiE0NBS9evUSsbqyGF5K5eTkVPqYVCotc5yamlrptQYGZQezEhISalXXky5evIihQ4cCALp37w5jY2McOHAAFy5cQOvWrVX2OkRERKNGjcLVq1cRExOD3r1744033sBXX32FRo0aiV0abxs9YmFhUenH0/f/nnWtmZlZta6tqZs3byIjI0M58mJoaIjg4GBs374d4eHhvGVEREQqI5FIMGLECMTExGD8+PEwMDDAb7/9Bi8vLyxdulT0W0k6E150vVU6PDwcxsbG8PHxUZ577bXXsHv3bkRGRlZ7si4REVF12draYvXq1QgPD0enTp2Qm5uLNWvWoLi4WNS6dOa2UUhICEJCQpStVrrmwoUL8PHxgbGxsfJcnz59IJPJUFRUxPBCRERqExAQgLCwMGzduhUODg7PdQdBlbjOCz0Xfi+JiEiVuM4LERER6SyGFyIiItIqDC9ERESkVRheiIiISKswvBAREZFW0cvwomMNVqLg95CIiMSiM+GlOovUGRkZAQDy8vLqqiyd9eh7+Oh7SkREVFf0ap0XAEhOTkZGRgYcHR1hbm4OiUQiQpXaS6FQIC8vD6mpqbC1tUWDBg3ELomIiHRATdZ50ZkVdqvL2dkZwLM3V6Sq2draKr+XREREdUnvwotEIkGDBg3g6Ogo+t4M2srIyKjcTttERER1Re/CyyNSqZS/gImIiLSQzkzYJSIiIv3A8EJERERaheGFiIiItIrOzXl51PmdlZUlciVERERUXY9+b1dnBRedCy/Z2dkAgMaNG4tcCREREdVUdnY2bGxsnnmNzi1SJ5fLkZSUBCsrKy5Ap2Jt27bFuXPnxC5DVNr6PdC0usWopy5eUx2vocrnrO1zZWVloXHjxrh9+3aVi4iR5tG0nwNPUygUyM7OhouLCwwMnj2rRedGXgwMDNCoUSOxy9BJUqlU739gaev3QNPqFqOeunhNdbyGKp9TVc9lbW2tUX+fqHo07edARaoacXmEE3ap2kJCQsQuQXTa+j3QtLrFqKcuXlMdr6HK59S0vwdUt3Tp/7/O3TYiIiL1qMneM0TqxJEXIiKqFhMTE8yePRsmJiZil0J6jiMvREREpFU48kJERERaheGFiIiItArDCxEREWkVhhciIiLSKgwvREREpFUYXoiIqFays7PRtm1bBAQEwNfXF999953YJZGOY6s0ERHVikwmQ2FhIczNzZGXlwcfHx+cO3cO9vb2YpdGOoojL0REVCtSqRTm5uYAgIKCAshkMvB9MakTwwsRkZ47duwYgoOD4eLiAolEgj///LPcNevWrYO7uztMTU0RFBSEsLCwMo9nZGTA398fjRo1wtSpU+Hg4FBH1ZM+YnghItJzubm58Pf3x9q1ayt8fNu2bZg4cSJmzJiBixcvomvXrujfvz8SExOV19ja2uLSpUuIj4/Hzz//jJSUlLoqn/QQ57wQEZGSRCLBzp07MWjQIOW59u3bIzAwEOvXr1eea9myJQYNGoRFixaVe44PPvgAPXv2xJAhQ+qiZNJDHHkhIqJKFRUVITw8HH379i1zvm/fvjh58iQAICUlBVlZWQCEnaePHTsGT0/POq+V9Ieh2AUQEZHmSktLg0wmg5OTU5nzTk5OuHfvHgDgzp07eOedd6BQKKBQKDBu3Dj4+fmJUS7pCYYXIiKqkkQiKXOsUCiU54KCghARESFCVaSveNuIiIgq5eDgAKlUqhxleSQ1NbXcaAxRXWF4ISKiShkbGyMoKAiHDh0qc/7QoUPo1KmTSFWRvuNtIyIiPZeTk4Pr168rj+Pj4xEREQE7Ozs0adIEkyZNwvDhw9GmTRt07NgR3377LRITEzF27FgRqyZ9xlZpIiI9d/ToUfTo0aPc+ZEjR2Lz5s0AhEXqlixZguTkZPj4+GDFihXo1q1bHVdKJGB4ISIiIq3COS9ERESkVRheiIiISKswvBAREZFWYXghIiIircLwQkRERFqF4YWIiIi0CsMLERERaRWGFyIiItIqDC9ERESkVRheiIiISKswvBAREZFWYXghIiIirfL/WPTFLVMAfKwAAAAASUVORK5CYII=\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "import numpy as np\n", - "import matplotlib.pyplot as plt\n", - "\n", - "n_params = np.array(grids) * (4*9+9*1)\n", - "plt.plot(n_params, train_rmse, marker=\"o\")\n", - "plt.plot(n_params, test_rmse, marker=\"o\")\n", - "plt.plot(n_params, 300*n_params**(-2.), color=\"black\", ls=\"--\")\n", - "plt.legend(['train', 'test', r'$N^{-4}$'], loc=\"lower left\")\n", - "plt.xscale('log')\n", - "plt.yscale('log')\n", - "print(train_rmse)\n", - "print(test_rmse)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "5776b6e1", - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.7" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/tutorials/.ipynb_checkpoints/Example_4_classfication-checkpoint.ipynb b/tutorials/.ipynb_checkpoints/Example_4_classfication-checkpoint.ipynb deleted file mode 100644 index bf56c09b..00000000 --- a/tutorials/.ipynb_checkpoints/Example_4_classfication-checkpoint.ipynb +++ /dev/null @@ -1,440 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "5d904dee", - "metadata": {}, - "source": [ - "# Example 4: Classification" - ] - }, - { - "cell_type": "markdown", - "id": "31bcb9ac", - "metadata": {}, - "source": [ - "## Regression formulation\n", - "\n", - "Let's first treat the problem as a regression problem (output dimension = 1, MSE loss). " - ] - }, - { - "cell_type": "markdown", - "id": "908489de", - "metadata": {}, - "source": [ - "create the two moon dataset" - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "id": "763d1fb4", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 1, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "from kan import *\n", - "import matplotlib.pyplot as plt\n", - "from sklearn.datasets import make_moons\n", - "import numpy as np\n", - "\n", - "dataset = {}\n", - "train_input, train_label = make_moons(n_samples=1000, shuffle=True, noise=0.1, random_state=None)\n", - "test_input, test_label = make_moons(n_samples=1000, shuffle=True, noise=0.1, random_state=None)\n", - "\n", - "dtype = torch.get_default_dtype()\n", - "dataset['train_input'] = torch.from_numpy(train_input).type(dtype)\n", - "dataset['test_input'] = torch.from_numpy(test_input).type(dtype)\n", - "dataset['train_label'] = torch.from_numpy(train_label[:,None]).type(dtype)\n", - "dataset['test_label'] = torch.from_numpy(test_label[:,None]).type(dtype)\n", - "\n", - "X = dataset['train_input']\n", - "y = dataset['train_label']\n", - "plt.scatter(X[:,0], X[:,1], c=y[:,0])" - ] - }, - { - "cell_type": "markdown", - "id": "06649143", - "metadata": {}, - "source": [ - "Train KAN" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "id": "0a59179d", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 1.57e-01 | test loss: 1.60e-01 | reg: 3.63e+00 : 100%|██| 20/20 [00:01<00:00, 14.50it/s]\n" - ] - }, - { - "data": { - "text/plain": [ - "(0.9990000128746033, 0.9990000128746033)" - ] - }, - "execution_count": 2, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "model = KAN(width=[2,1], grid=3, k=3)\n", - "\n", - "def train_acc():\n", - " return torch.mean((torch.round(model(dataset['train_input'])[:,0]) == dataset['train_label'][:,0]).type(dtype))\n", - "\n", - "def test_acc():\n", - " return torch.mean((torch.round(model(dataset['test_input'])[:,0]) == dataset['test_label'][:,0]).type(dtype))\n", - "\n", - "results = model.fit(dataset, opt=\"LBFGS\", steps=20, metrics=(train_acc, test_acc));\n", - "results['train_acc'][-1], results['test_acc'][-1]" - ] - }, - { - "cell_type": "markdown", - "id": "2d92afc4", - "metadata": {}, - "source": [ - "Automatic symbolic regression" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "id": "ec64a6b4", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "fixing (0,0,0) with sin, r2=0.975803017616272, c=2\n", - "fixing (0,1,0) with x, r2=0.9723848104476929, c=1\n" - ] - }, - { - "data": { - "text/latex": [ - "$\\displaystyle - 0.8594 x_{2} - 0.3941 \\sin{\\left(3.0987 x_{1} - 1.5582 \\right)} + 0.7172$" - ], - "text/plain": [ - "-0.8594*x_2 - 0.3941*sin(3.0987*x_1 - 1.5582) + 0.7172" - ] - }, - "execution_count": 3, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "lib = ['x','x^2','x^3','x^4','exp','log','sqrt','tanh','sin','tan','abs']\n", - "model.auto_symbolic(lib=lib)\n", - "formula = model.symbolic_formula()[0][0]\n", - "ex_round(formula, 4)" - ] - }, - { - "cell_type": "markdown", - "id": "cee6c7c8", - "metadata": {}, - "source": [ - "How accurate is this formula?" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "id": "dd5226ea", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "train acc of the formula: tensor(1.)\n", - "test acc of the formula: tensor(0.9990)\n" - ] - } - ], - "source": [ - "# how accurate is this formula?\n", - "def acc(formula, X, y):\n", - " batch = X.shape[0]\n", - " correct = 0\n", - " for i in range(batch):\n", - " correct += np.round(np.array(formula.subs('x_1', X[i,0]).subs('x_2', X[i,1])).astype(np.float64)) == y[i,0]\n", - " return correct/batch\n", - "\n", - "print('train acc of the formula:', acc(formula, dataset['train_input'], dataset['train_label']))\n", - "print('test acc of the formula:', acc(formula, dataset['test_input'], dataset['test_label']))" - ] - }, - { - "cell_type": "markdown", - "id": "8a77c90a", - "metadata": {}, - "source": [ - "## Classification formulation\n", - "\n", - "Let's then treat the problem as a classification problem (output dimension = 2, CrossEntropy loss). " - ] - }, - { - "cell_type": "markdown", - "id": "b03f2dd0", - "metadata": {}, - "source": [ - "Create the two moon datatset" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "id": "71c1d738", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 5, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "from kan import KAN\n", - "import matplotlib.pyplot as plt\n", - "from sklearn.datasets import make_moons\n", - "import torch\n", - "import numpy as np\n", - "\n", - "dataset = {}\n", - "train_input, train_label = make_moons(n_samples=1000, shuffle=True, noise=0.1, random_state=None)\n", - "test_input, test_label = make_moons(n_samples=1000, shuffle=True, noise=0.1, random_state=None)\n", - "\n", - "dataset['train_input'] = torch.from_numpy(train_input).type(dtype)\n", - "dataset['test_input'] = torch.from_numpy(test_input).type(dtype)\n", - "dataset['train_label'] = torch.from_numpy(train_label).type(torch.long)\n", - "dataset['test_label'] = torch.from_numpy(test_label).type(torch.long)\n", - "\n", - "X = dataset['train_input']\n", - "y = dataset['train_label']\n", - "plt.scatter(X[:,0], X[:,1], c=y[:])" - ] - }, - { - "cell_type": "markdown", - "id": "494fe1d3", - "metadata": {}, - "source": [ - "### Train KAN" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "id": "13ec74e5", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 3.94e-05 | test loss: 5.00e-01 | reg: 1.52e+04 : 100%|██| 20/20 [00:02<00:00, 9.35it/s]\n" - ] - } - ], - "source": [ - "model = KAN(width=[2,2], grid=3, k=3)\n", - "\n", - "def train_acc():\n", - " return torch.mean((torch.argmax(model(dataset['train_input']), dim=1) == dataset['train_label']).type(dtype))\n", - "\n", - "def test_acc():\n", - " return torch.mean((torch.argmax(model(dataset['test_input']), dim=1) == dataset['test_label']).type(dtype))\n", - "\n", - "results = model.fit(dataset, opt=\"LBFGS\", steps=20, metrics=(train_acc, test_acc), loss_fn=torch.nn.CrossEntropyLoss());" - ] - }, - { - "cell_type": "markdown", - "id": "5e36b0f3", - "metadata": {}, - "source": [ - "Automatic symbolic regression" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "id": "91b4c228", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "fixing (0,0,0) with sin, r2=0.9947189092636108, c=2\n", - "fixing (0,0,1) with sin, r2=0.9957412481307983, c=2\n", - "fixing (0,1,0) with x, r2=0.8554980754852295, c=1\n", - "fixing (0,1,1) with x, r2=0.8216891884803772, c=1\n" - ] - } - ], - "source": [ - "lib = ['x','x^2','x^3','x^4','exp','log','sqrt','tanh','sin','abs']\n", - "model.auto_symbolic(lib=lib)" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "id": "83606957", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle 1603.3414 x_{2} - 10662.2939 \\sin{\\left(2.098 x_{1} + 8.1668 \\right)} - 2805.9184$" - ], - "text/plain": [ - "1603.3414*x_2 - 10662.2939*sin(2.098*x_1 + 8.1668) - 2805.9184" - ] - }, - "execution_count": 8, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "formula1, formula2 = model.symbolic_formula()[0]\n", - "ex_round(formula1, 4)" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "id": "9fa988e3", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle - 858.4062 x_{2} + 10339.7666 \\sin{\\left(1.8559 x_{1} - 7.4117 \\right)} - 2037.7221$" - ], - "text/plain": [ - "-858.4062*x_2 + 10339.7666*sin(1.8559*x_1 - 7.4117) - 2037.7221" - ] - }, - "execution_count": 9, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "ex_round(formula2, 4)" - ] - }, - { - "cell_type": "markdown", - "id": "0cfce819", - "metadata": {}, - "source": [ - "How accurate is this formula?" - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "id": "ecd368f8", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "train acc of the formula: tensor(0.9940)\n", - "test acc of the formula: tensor(0.9970)\n" - ] - } - ], - "source": [ - "# how accurate is this formula?\n", - "def acc(formula1, formula2, X, y):\n", - " batch = X.shape[0]\n", - " correct = 0\n", - " for i in range(batch):\n", - " logit1 = np.array(formula1.subs('x_1', X[i,0]).subs('x_2', X[i,1])).astype(np.float64)\n", - " logit2 = np.array(formula2.subs('x_1', X[i,0]).subs('x_2', X[i,1])).astype(np.float64)\n", - " correct += (logit2 > logit1) == y[i]\n", - " return correct/batch\n", - "\n", - "print('train acc of the formula:', acc(formula1, formula2, dataset['train_input'], dataset['train_label']))\n", - "print('test acc of the formula:', acc(formula1, formula2, dataset['test_input'], dataset['test_label']))" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.7" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/tutorials/.ipynb_checkpoints/Example_5_special_functions-checkpoint.ipynb b/tutorials/.ipynb_checkpoints/Example_5_special_functions-checkpoint.ipynb deleted file mode 100644 index bca6859d..00000000 --- a/tutorials/.ipynb_checkpoints/Example_5_special_functions-checkpoint.ipynb +++ /dev/null @@ -1,307 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "134e7f9d", - "metadata": {}, - "source": [ - "# Example 5: Special functions" - ] - }, - { - "cell_type": "markdown", - "id": "2571d531", - "metadata": {}, - "source": [ - "Let's construct a dataset which contains special functions $f(x,y)={\\rm exp}(J_0(20x)+y^2)$, where $J_0(x)$ is the Bessel function." - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "id": "2075ef56", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 1.31e-02 | test loss: 9.92e-02 | reg: 3.78e+00 : 100%|██| 20/20 [00:06<00:00, 3.20it/s]\n" - ] - } - ], - "source": [ - "from kan import *\n", - "\n", - "# create a KAN: 2D inputs, 1D output, and 5 hidden neurons. cubic spline (k=3), 5 grid intervals (grid=5).\n", - "model = KAN(width=[2,1,1], grid=20, k=3, seed=0)\n", - "f = lambda x: torch.exp(torch.special.bessel_j0(20*x[:,[0]]) + x[:,[1]]**2)\n", - "dataset = create_dataset(f, n_var=2)\n", - "\n", - "# train the model\n", - "model.fit(dataset, opt=\"LBFGS\", steps=20);" - ] - }, - { - "cell_type": "markdown", - "id": "2f30c3ab", - "metadata": {}, - "source": [ - "Plot trained KAN, the bessel function shows up in the bettom left" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "id": "3f95fcdd", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.plot()" - ] - }, - { - "cell_type": "markdown", - "id": "733a2a41", - "metadata": {}, - "source": [ - "suggest_symbolic does not return anything that matches with it, since Bessel function isn't included in the default SYMBOLIC_LIB. We want to add Bessel to it." - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "id": "031db28f", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - " function fitting r2 r2 loss complexity complexity loss total loss\n", - "0 0 0.000000 0.000014 0 0 0.000003\n", - "1 x 0.001598 -0.002293 1 1 0.799541\n", - "2 cos 0.159266 -0.250262 2 2 1.549948\n", - "3 sin 0.159266 -0.250262 2 2 1.549948\n", - "4 1/x^2 0.098715 -0.149929 2 2 1.570014\n" - ] - }, - { - "data": { - "text/plain": [ - "('0',\n", - " ((x)>,\n", - " (x)>,\n", - " 0,\n", - " (x, y_th)>),\n", - " 0.0,\n", - " 0)" - ] - }, - "execution_count": 3, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "model.suggest_symbolic(0,0,0)" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "id": "4b8549a2", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "dict_keys(['x', 'x^2', 'x^3', 'x^4', 'x^5', '1/x', '1/x^2', '1/x^3', '1/x^4', '1/x^5', 'sqrt', 'x^0.5', 'x^1.5', '1/sqrt(x)', '1/x^0.5', 'exp', 'log', 'abs', 'sin', 'cos', 'tan', 'tanh', 'sgn', 'arcsin', 'arccos', 'arctan', 'arctanh', '0', 'gaussian'])" - ] - }, - "execution_count": 4, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "SYMBOLIC_LIB.keys()" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "id": "cbde1924", - "metadata": {}, - "outputs": [], - "source": [ - "# add bessel function J0 to the symbolic library\n", - "# we should include a name and a pytorch implementation\n", - "add_symbolic('J0', torch.special.bessel_j0, c=3)" - ] - }, - { - "cell_type": "markdown", - "id": "bda24c6d", - "metadata": {}, - "source": [ - "After adding Bessel, we check suggest_symbolic again" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "id": "83e5cfdd", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - " function fitting r2 r2 loss complexity complexity loss total loss\n", - "0 0 0.000000 0.000014 0 0 0.000003\n", - "1 x 0.001598 -0.002293 1 1 0.799541\n", - "2 cos 0.159266 -0.250262 2 2 1.549948\n", - "3 sin 0.159266 -0.250262 2 2 1.549948\n", - "4 1/x^2 0.098715 -0.149929 2 2 1.570014\n" - ] - }, - { - "data": { - "text/plain": [ - "('0',\n", - " ((x)>,\n", - " (x)>,\n", - " 0,\n", - " (x, y_th)>),\n", - " 0.0,\n", - " 0)" - ] - }, - "execution_count": 6, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "# J0 fitting is not very good\n", - "model.suggest_symbolic(0,0,0)" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "id": "e78f4674", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - " function fitting r2 r2 loss complexity complexity loss total loss\n", - "0 0 0.000000 0.000014 0 0 0.000003\n", - "1 J0 0.999225 -10.314291 3 3 0.337142\n", - "2 x 0.001598 -0.002293 1 1 0.799541\n", - "3 cos 0.585822 -1.271642 2 2 1.345672\n", - "4 sin 0.585822 -1.271642 2 2 1.345672\n" - ] - }, - { - "data": { - "text/plain": [ - "('0',\n", - " ((x)>,\n", - " (x)>,\n", - " 0,\n", - " (x, y_th)>),\n", - " 0.0,\n", - " 0)" - ] - }, - "execution_count": 7, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "# This is because the ground truth is J0(20x) which involves 20 which is too large.\n", - "# our default search is in (-10,10)\n", - "# so we need to set the search range bigger in order to include 20\n", - "# now J0 appears at the top of the list\n", - "\n", - "model.suggest_symbolic(0,0,0,a_range=(-40,40))" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "id": "47fb0d09", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 1.31e-02 | test loss: 1.00e-01 | reg: 3.78e+00 : 100%|██| 20/20 [00:03<00:00, 5.16it/s]\n" - ] - } - ], - "source": [ - "model.fit(dataset, opt=\"LBFGS\", steps=20);" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "id": "4773e989", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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SJUvQs2dPTJkyBQMHDgx12USXjeFC1AGEENDpdEhJScH999+Pu+66C8eOHcPmzZuxbt067N69G/X19XC5XIiIYLOkzo9/xdSlKIqC5uZmREZGhrqUn5SUlIQ5c+bglltuQV1dHSoqKmA2m1FUVBTq0oguG8OFugwhBFJSUvDWW29Bp9OFupyfzel0Ii4uLtRlEF0WoXCZCnURXWnVlRACQohQl0H0szFciIhIc1yKTEREmuOcC9FFatvJ55AV0YWx50J0kUpKSqDT6VBSUhLqUojCHsOFiIg0x3AhIiLNMVyIiEhzDBciItIcw4WIiDTHcCEiIs0xXIiISHMMFyIi0hzDhYiINMdwISIizTFciIhIcwwXIiLSHMOFiIg0x3AhIiLNMVyIiEhzDBeii6AoCpqbmwEAzc3N4NXBiS6M4UJ0AVarFYsXL0Z6ejqmTp0KRVEwdepUpKenY/HixbBaraEukSgsCYUfwYjOa8OGDZg9ezYcDgeA81/m2GQyYeXKlcjPzw9JjUThiuFCdB4bNmzAjBkzoCgKZFn+0ftJkgQhBNauXcuAIWqD4UL0PVarFf369YPT6bxgsARIkgSj0Yjq6mpYLJbgF0jUCXDOheh7li5dCofDcVHBAgCyLMPhcODDDz8McmVEnQd7LkRtKIqC9PR0VFZWXtKKMCEEUlNTUVZWps7HEHVnDBeiNhobG5GUlHRZj09MTNSwIqLOicNiRG3Y7fbLerzNZtOoEqLOjeFC1IbZbL6sx8fExGhUCVHnxnAhaiMxMRFpaWmXPG8ihEBaWhoSEhKCVBlR58JwIWpDCIG5c+f+rMc+8sgjnMwn+g4n9Im+h/tciC4fey5E32OxWLBy5UoIISBJF24igR36q1atYrAQtcFwITqP/Px8rF27FkajEUKIHwx3Bb5nNBqxbt06TJs2LUSVEoUnhgvRj8jPz0d1dTUWLVqE1NTUdrelpqZi0aJFOHXqFIOF6Dw450J0ERRFwVdffYUpU6Zg48aNuOaaazh5T3QB7LkQXQQhhDqnYrFYGCxEP4HhQkREmmO4EBGR5hguRESkOYYLERFpjuFCRESaY7gQEZHmGC5ERKQ5hgsREWmO4UJERJpjuBARkeYYLkREpDmGCxERaY7hQkREmmO4EBGR5hguRESkOYYLERFpjuFC9BO8Xi9OnTqFI0eOAAAqKirQ1NQEWZZDXBlR+OJljol+hNVqxcqVK/HRRx/h0KFDsNls8Hg8iIqKQlJSEiZPnox77rkH2dnZiIiICHW5RGGF4UJ0Htu3b8e8efPwzTffYPz48ZgxYwZGjBgBs9kMq9WKvXv3YvXq1SgvL8ftt9+OF154AUlJSaEumyhsMFyIvufzzz/HnXfeCbPZjL/85S+44YYb4PF4sHz5crjdbsTGxuKXv/wlvF4vli9fjmeffRbDhg3DsmXL0KtXr1CXTxQWGC5EbXz77be4/vrrER0djeXLlyMjIwNCCFRWVmLMmDFoaWnBwIEDsXfvXsTHx0NRFBQXF+OOO+5AXl4e3n//fRgMhlD/GEQhxwl9ou/4/X689NJLaG5uxttvv60Gy4UIIZCTk4NXX30Vn376KQoKCjqoWqLwxnAh+k55eTlWr16NWbNmIScn5yeDJUAIgZtvvhkTJ07Ee++9B5/PF+RKicIfl7gQfWfbtm2w2+2YPXs2qqqq0Nraqt5WXV0Nv98PAPB4PDh06BBiY2PV2/v06YNZs2bh2WefRV1dHfr169fh9ROFE4YL0XeOHj0Kk8mE1NRUPPDAA9i6dat6m6IocLvdAICamhpcd9116m1CCLz++usYPnw4HA4HampqGC7U7TFciL7jdDoREREBg8EAt9sNl8t13vspivKD23w+H4xGY7sQIurOGC7U7VVVVWHz5s0oLi6Gw+GA1WpFZmYmoqOj1fs4nU5s27ZNDZGsrCx146QQAgMGDEB9fT18Ph/Ky8sxfvx4REVFhepHIgo5LkWmbufkyZMoLCxEYWEhNm/ejBMnTkAIgZSUFFRUVOCdd97Bvffe2+4xlZWVGD9+PFpaWnDFFVdgz549sFgs6u1CCDz55JNYsGABdDodoqKikJmZiauvvhp5eXkYP348lyhTt8JwoS6vpqYGmzdvxpYtW7B582YcO3YMADBixAj1zT8nJweyLCMnJwfx8fEoKChoN2H/Y/tcgHPDZDU1NcjNzcXMmTNx5513YsuWLdiyZQuKiopgtVphNBoxceJE9fXGjh0LvV4fkt8HUUdguFCXc/r06XZhUl5eDgAYNmyY+uY+efJkJCYm/uCx77zzDh599FE89dRTeOKJJ9ShrwuFi8vlwr/9279h9erV2LRpEwYPHqw+n9/vxzfffIMtW7agsLAQxcXFOHv2LEwmEyZNmoTc3Fzk5eVh9OjRiIyM7IDfDlHHYLhQp9fQ0IDCwkI1TEpLSwEAQ4YMQW5uLnJzc3H11Vdf1Nlfra2tuPvuu7Fu3Tr8+c9/xoMPPoioqCgcO3YMEyZMUIfFdu3aBYvFApvNhhdffBF//etfsXDhQtx1110XfH6fz4f9+/er9W7duhV2ux1msxlZWVlqvaNGjeJhmNSpMVyo02lsbERRUZE6b3L48GEAQHp6uvrmnJub+7PP+WpoaMDDDz+MNWvWID8/H/PmzcPQoUNRWloKWZah1+sxaNAg7Nq1CwsWLMD+/fvx3HPP4cEHH4ROp7uk1/J6vSgpKVF7Wtu2bYPD4UBsbCyys7PVn2XEiBGX/NxEocRwobDX3NyMoqIi9Q34wIEDAIDU1NR2YdKnTx/NXrO1tRXvvfce3nzzTZw+fRqpqalIT09HTEwMmpubUVpaipqaGowdOxbPPPMMcnNzIUmXf+CFx+PB3r171eDcvn07XC4XLBYLcnJy1J/1qquu0uT1iIKF4UJhp6WlBcXFxWqYfP3111AUBSkpKcjLy1PnTTpio2JdXR02btyIwsJCVFZWwuVyIT4+HldddRWmTZuGzMxMmEymoL2+2+3G7t271bDZuXMn3G43EhISMHnyZDVsLuYcNKKOxHChkLPZbNi6dav6BlpSUgJZltG3b1/k5eWpk94pKSkhrdPv90NRFEiSFLJeg8vlws6dO9X5pV27dsHr9aJHjx64+uqr1bAZPHgww4ZCiuFCHc5ut2P79u1qz2Tv3r3w+/1ITk5u1zMZOHAg3yB/gsPhwI4dO9Sw2bNnD3w+H3r27NluyHDQoEH8XVKHYrhQ0AXeAANhsnv3bvUNsG2Y8A3w8tntduzYsUPdILpv3z41uNuGDYObgo3hQpoLDN0EwmTnzp3wer1ISkrC1VdfrYYJh26C7+zZs9i+ffsPhhz79eun/jvk5uaGfMiRuh6GC102t9uNXbt2nXfSue08ACedQ89qtWLr1q3qps62iyXahg1PdabLxXChS+bxeLBnzx516GXHjh3qctm2K5i4XDb8NTU1tVtMEVjmPXDgQPXfMS8vD8nJySGulDobhgv9JK/Xi3379qlhsn37dnWjX05Ojjpvwo1+nd+ZM2fOu0F10KBBmmxQpe6D4UI/0PaIks2bN6tXaDSbze12jfOIkq6voaFBHUIrLCxUj9YZPHhwu7Dp0aNHiCulcMNwIfVwxUCYbN26VT1cMSsrS+2ZjBkzhocrdnN1dXXtwiZwKGhGRka7c9wSEhJCXCmFGsOlG5JlGQcPHlTDpLi4GFarFVFRUZg0aZIaJuPGjeOx8HRBNTU1atAUFhaqlzMYPny4GjaByxhQ98Jw6QYURcHhw4fVMCkqKkJTUxMMBgMyMzPVMJkwYQIvaEWX5eTJk+qGzsLCQvVCbCNHjlTDJjs7G3FxcaEulYKM4dIFKYqC0tJStYEXFRWhoaEBkZGRyMzMVBt5ZmYmL8VLQVVVVdUubE6dOgVJkjB69Gj17zArKwsxMTGhLpU0xnDpAhRFQXl5udqACwsLUV9fj4iICIwfP15txBMnTgzqIYtEF6IoCo4dO9buEtN1dXXQ6XQYM2aMusdm0qRJiI6ODnW5dJkYLp1QoJG2DZPa2lrodDqMHTtW3ZswceJEmM3mUJdLdF6BD0Vt52wCH4rGjRunhk2wT56m4GC4dBLHjx9vFybV1dXthhfy8vIwadKkdtd9J+pMAsO5bcPmzJkz0Ov1GD9+vDo3yOHczoHh0kkMHz4cZWVl6sRoXl4esrKyYLFYQl0aUVDIsowjR46oQRNYiLJs2TLMmTMn1OXRT2C4dBKyLEMIwbO5qNtSFAWKorAddBIMFyIi0hzP7tBIYHLyzJkzoS7lskiShGHDhnG1Dl0ytgFqi+GiEUVRsHjxYvTr10+zFVoXMxTm9/shSZJmwwTFxcX44x//iOHDh2vyfNR9BKMNfJ/f74csy4iIiAja0BjbgDYYLhoyGAy46667NDkxtq6uDk899RR69+6N+fPn/+BTlKIo2LdvH55//nnMnDkTd91112Ufb68oCux2OzhSSj+Xlm0AOPc36XK5sGvXLqxZswYHDx6Ex+PBgAEDMHXqVOTn5yMxMVGzoGEb0A7DJQwpioJVq1bho48+QkREBPLy8jB16tR295FlGa+//joKCgpw6NAh3HDDDbzmBnUpsiyjpKQEf/7zn1FYWAi3263etnXrVnz88ccYMmQInnjiCdx8882IjIzkRH8YYbiEIUVRsHPnTiiKAq/Xi927d2PKlCntGs7Zs2fx9ddfAzjXyykvL2e4UJfh9/vx8ccfY/78+Th9+jSio6NxzTXXIDc3F9HR0SgpKUFBQQEOHz6M++67D8XFxXjmmWeQkJDAgAkTDJcw5PF4UFFRoX5dWlqqLsEMaGxsRGNjI4BzF/OqrKxETk4OGxZ1en6/H8uWLcPvf/97tLa2IjMzE88//zwmTpyoXvIhcErFyy+/jI8//hjvvfceTp48iXfffRc9e/ZkOwgDvAZtCCmKAqvVirNnz7Yb47Xb7aivr1e/PnnyJHw+X7vH1tXVweFwqF9XVla2u93v96OxsREej4fjx9RpKIqCdevW4fHHH0drayt+8Ytf4H/+538wefJk6PV6dYGLJElITU3F22+/jddeew2xsbFYv3495s6d+4P2RKHBcAkRRVFw5MgRXHfddbjppptQXV2t3ma1WtHS0qJ+XV9fD5fL1e7xtbW17QLn5MmT7Z572bJlyMrKwlNPPfWDYCIKR4E28eijj6KlpQXTpk3D22+//aM9ESEEDAYD7r33XixcuBAxMTFYs2YNFixYAL/fH4KfgNpiuARZYLWLy+X6waepZcuW4cCBA9ixYwdWr16t3t7Q0ACn06ne7+zZs7Db7e2es7a2tt3z1dTUqCFit9uxZMkSnDhxAkuXLkVZWVm71/X7/WhqaoLX6+UnPAobNpsNjz/+OE6cOIGMjAwsXrz4olaC6XQ63H777XjssccghMCSJUuwceNG/m2HGMMliBRFwdGjRzFz5kzMnj27Xe/C5XJh69at6tfbtm1TG0N9fT18Ph90Oh0kSUJrayvOnj3b7rnr6uoAQL2GfWAIDACqq6vVYbKzZ89i9+7d6nPLsoz3338fkyZNwmOPPdZuBQ5RqMiyjA8++ACbNm1CbGwsFixYgJSUlIueO9HpdHjooYdw/fXXw2634+mnn243tEwdj+ESRLIs44033kBRURE2btyIpUuXqm/yjY2N6iVhgXOT9oHeyunTpyHLMvr06YPY2Fh4PB40Nze3e+6GhgYAQGpqKnQ6HVpaWtQ5mLKyMrS2tgL4x36YgMbGRixcuBDHjx/Hf/3Xf6mr0ohCJfAhbPHixZBlGb/73e+Qm5t7yZPyJpMJzz33HJKTk3HgwAG8+eabHB4LIYZLEDU0NGDz5s3q15s3b1Z7F8ePH283r3L69Gk0NzdDURScPn0aAJCSkgKLxQKfz4empib1vrIsq0dsDB06FHq9HjabTd38VVZWBlmW1fsfOXIEXq8XAHDw4EGcOnUKwLne09q1a4PzwxNdJK/Xi1dffRV1dXUYOXIk5s6dC51Od8nPI4RARkYGHn30UUiShA8++AB79uzhh6cQYbgE0aFDh1BbW6t+XV5ejoaGBiiKgoqKCng8HsTHx8NoNOLs2bPqUFfgMf3794fFYmkXJgDg8/nUnkx6ejqMRiNcLpf6vcAcS+/evSFJEk6cOKEGT0lJCbxer/qpcPv27T9YLEDUURRFQXFxMT777DMYDAY88cQT6NGjx89+PiEEfvvb3yIrKwtWqxWvvPIK/75DhOESJIqiYPfu3fD5fBg4cCDi4uLQ3NyM48ePAzg3DAYAI0aMQHJyMjweD6qrqyHLstpz6devn3q9ljNnzqifwDweD6xWK4QQuOKKK2A2m+H1etHY2Aifz6e+Rl5eHoxGI86cOaOG2oEDB9TX1ev1qKioUEONqKO53W4sWrQIDocDU6ZMwfXXX3/Ze1RiYmIwf/58mEwmbNy4kZP7IcJwCZLA0RUAcO211yIlJQUejwfffvstZFlWexejRo1C3759Icsyqqqq4PP51M2Rffv2RUJCAgCo3wPODWfZ7XbodDr06dMH8fHx8Pv9OH36NFwuF2prayGEwIQJE5CQkACHw4Hjx4/D7Xarrztz5kz07NkTLS0tOHr0aEf+aogA/KPXsmXLFphMJvzrv/4rDAbDZT+vEAI5OTmYMWMG3G433nrrrXarL6ljMFyCxG6348iRIxBCICsrC4MGDQJwbv7D5XKhqqoKAJCRkYEBAwYAAKqqquByudDU1AQhBHr37o34+HgAaDfn4nA44HQ6ERERgR49eiAxMRHAuXmblpYWNDU1ITIyEhkZGejbty/8fj/KyspgtVpRU1ODiIgIZGZmIi0tDX6/H/v37+cnO+pwXq8X//Ef/wGXy4VrrrkGEydO1GxnfWRkJB566CGYzWbs2LEDRUVF/BvvYAyXIKmpqUFtbS1MJhOGDx+OIUOGADg3HNbY2IjTp09Dr9cjLS0NV1xxBYBzk/w2mw1nz55FREQEkpKS1J5LYLIfOBcubrcbkZGRsFgs6gm0dXV1aGxshM1mg8lkQv/+/ZGamqq+bk1NDZqbm2E2m5GWloaRI0cCAPbv399uAQBRsCmKgq+//hqbNm2CwWDA/fffD71er9nzCyEwduxYXHvttXC73fjggw/URS3UMRguQaAoCg4fPozW1lb06tUL/fv3x5AhQyCEwLFjx1BWVoaWlhbExMSgX79+SElJAXAukBoaGtDa2gqDwYDExEQ1XKxWq7qs0mazwePxICoqCiaTCb179wZwLlxOnToFt9sNi8WC+Ph4XHnllQDOTfKXlpbC7XajZ8+e6NGjB0aPHg0hBI4cOdJukyZRsMmyjKVLl8Jut2PcuHFBORcvMjIS99xzD/R6Pb766iscOnSIvZcOxHAJkr1790KWZQwZMgQxMTFIS0uDwWBAfX09iouL4Xa7kZycjB49emDAgAGIiIhAY2Mjqqqq4Ha7YTabERcXpw6LnT17Vg2XwH8bjUYYjUY1XOrr61FRUQFZltGrVy9ER0dj6NChkCQJVVVV2LVrFxRFwRVXXAGTyYSMjAwYjUbU1taipqYmZL8r6n5OnDiBNWvWQJIk/PM//zNMJpPmryGEQHZ2NkaPHg2bzYa///3vDJcOxHAJgtbWVuzcuRMAMH78eOh0OnVy3maz4f/+7/8AAEOGDFF7HkajES0tLTh48CB8Ph8sFgvMZjMsFguEELDb7eoemebmZsiyjOjoaBgMBiQnJ0MIgYaGBnVyvn///oiMjMSVV16J6Oho1NXV4fPPPwcADBs2DDqdDgMGDECfPn1gt9vbbbQkCiZFUbBy5UqcPn0aaWlpmD59etBOMY6Ojsavf/1rCCHw6aefttsaQMHFcNHYnj17MHv2bOzatQt6vR5ZWVkQQiA+Ph4DBw6E3+9XA2DMmDEQQiAxMREWiwVOpxM7duyAoihISkpCVFQU4uLioNPp1HkW4NwQmaIoiImJQWRkJPr06aP2fL755hsA53buCyHQt29f9O3bF06nE5WVlRBCqJdvjY2NxZgxY6AoCl544QUsXrxYDTCiYLFarVi+fDkURcFtt912WftafooQAjNmzED//v1RXV2NgoIC9l46CMNFY5IkYd++ffB6vRg0aBBGjBgBANDr9Rg3bpx6v6ioKEyaNAlCCMTExCA5ORl+vx/bt28HAHWoLCYmBjqdDk6nE06nUz2mH4B6W+/evWEymdDU1ISDBw8CgLo6zWw2Y/z48errms1mjBw5Uj22fMaMGdDpdDh27Bg2b97M62BQUCmKgsLCQhw9ehSJiYm47bbbgv43l5ycjBtvvBGyLGP58uXcVNlBGC4aGz58OObOnYtRo0bh6aefVjdBAsD06dNhNBoBACNHjlR7EHq9Hunp6QCgng+WlpYG4FwYREZGwuPxqGv1A+ESFxcHSZKQkJCAhIQE+P1+uFwuGAwGpKenq9e+uOWWW9SVOKNGjVJXkAkhMH36dPzqV7/C6NGj8Yc//EG9GBNRMPh8Pvz973+Hz+fDlClT1L/zYBJC4LbbboPJZMLevXu59L6DMFw0FhkZiT/+8Y/YtGkTbr75ZvVTWWC/y5NPPonp06fj5ZdfRnR0tHrbqFGj1OeQJAnDhg2DEAImkwkGgwFer1dd0dU2XAI9n4EDB6qPT0xMVJc3CyFw7bXX4vHHH8f111+PF154AVFRUep9Y2JisGTJEnz55ZfIysoK4m+GCKioqEBRUREiIyNxxx13/KwzxC6VEAIjR47E2LFj4XA4sGrVKoZLB+BljoNAp9Odd/WLXq/H73//e8iyDEmS2gXPxIkTYTKZ4HA4EB8fr/ZqoqKiEBUVhZaWFvV8sMCBl4GVZBEREZg4cSI2bdoE4NzRLm3HsQ0GA5588kn4/X7odLp2wxBCCERGRiIyMpINjoJKURSsXbsWzc3NGDZsmKabJn9KVFQUZs+ejeLiYvVKl8Gc6yH2XDqcEOIHb/AAcNVVV2H69OmIiorCLbfcgv79+wM4FwxGoxGyLKOlpUX9f+BczyXwnLNnz8aAAQNgsVhw9913q9d5CdwuhEBERATnVChknE4nPvvsMwDAjTfeqP79dgQhBPLz85GUlITjx4+3u34SBQd7LmEiKioK//7v/46ysjIMGTJEDQe9Xg+z2QxZltWNlDabDcC5nksgLDIyMrB+/Xo4HA5kZGQwRCjsHD58GAcPHoTJZMKNN97Y4X+j/fv3R3Z2Nj755BN8+umn6mIWCg72XMKEEAJxcXEYN24czGaz2vACK8YAoKWlBT6fDzabTb1/28enpaVh+PDhbDAUdhRFwYYNG9Da2ophw4YhIyOjw2vQ6XT4xS9+AUmSsGXLFl6pMsgYLmFOkiTExsYCODeR7/F40Nra+oNwIQpnTqcTGzZsAADk5+cHZUf+TwmclpycnIyamhoOjQUZwyXMSZKkhojVaoXL5YLL5YJOp1N7NEThrqysDIcPH4bJZEJ+fn7Ihm2Tk5ORlZUFv9+PtWvX8sDWIGK4dAKBcGlpaYHT6YTL5Wo3XEYUzhRFwcaNG2G323HllVdi6NChIaslsHFYkiQUFxejoaEhZLV0dQyXTiCw5NhqtaonIuv1enWfDFE483g8KCgoAABMnTo1pH+3gf1mPXv2xKlTp7B7924OjQUJw6UTCOzyb2lpUSf1o6Ki1N3+ROGsqqoK33zzDQwGA6ZNmxbqctCnTx9MmDABfr8f69evZ7gECcMlzAkh1HCx2+1obm6Gz+eD0Whst9OeKBwFzhJraWnBwIEDMWLEiJAvk9fpdOpJzEVFReqJF6QthksnYLFYIEkSbDYbGhoaoCiKetw+UTjz+XzqScS5ubnqysdQCqwas1gsOH78OA4cOBDqkrokhksnEDig0ul0ora2FoqiIDY2tt0ufKJwVFtbi7179yIiIiKkq8S+b8CAARgxYgQ8Hg+++OILDo0FAcOlEwgEidPpxKlTpwCcCxyGC4UzRVGwc+dONDQ0IDk5Wb1+UTjQ6/WYOnUqAGDz5s3qieOkHYZLJxATEwO9Xg+Xy4UTJ04AOLeCTJL4z0fhS1EUfPHFF5BlGZmZmUhKSgp1SSohBPLy8mA0GlFaWoqKiopQl9Tl8N2pEzCZTDAajfB6vaiqqgLwj+XJROGqpaUF27ZtgxAC1113Xdh9GBo8eDBSU1Nhs9lQXFzMoTGNhde/Np2X0WiEyWSC1+vFyZMnAQAJCQkhrorowg4fPoyTJ08iLi5OvepqOImJiUFOTg4AYNOmTfD7/SGuqGthuHQCUVFR6i59r9cLAGE1xED0fYqiYMuWLXC73cjIyMCAAQNCXdJ5XXvttdDpdCgpKUFjY2Ooy+lSGC6dQERERLvLJQshkJSUFHafBIkCvF4vCgsLAQCTJ08Oy2XzQgiMHj0aPXr0QF1dHZcka4zh0gnodLp2PRWdTofExMQQVkR0YbW1tTh8+DAiIyNx9dVXh7qcH9W7d29cddVV8Pl8ahiSNhgunYAQAsnJyerXBoOBl2ilsPb111/jzJkz6NWrF4YNGxa2vey24bd161a43e4QV9R1MFw6ib59+6r/bTab2w2TEYUTRVGwdetW+P1+jBgxIqw/CAUOstTr9SgtLVX3kdHlY7h0AkIIpKSkqEs5ExMTeaEwCltutxs7d+4EAGRnZ4f9lVGHDh2KPn36wGq1oqSkJNTldBkMl04iLS1NPQV50KBBPBGZwlZtbS3Kysqg1+uRmZkZtkNiAfHx8Rg1ahRkWUZxcXGoy+kyGC6dRGpqKjIzMxEdHY2bbrop7DakEQUcO3YMPp8PvXv3xpVXXhnqcn6SJEnIycmBTqfD0aNH4fF4Ql1Sl8DDqTSkKAqsVisiIyOD8vwLFy5EbW0thg4diubm5qC8Bic06XIoioJhw4Zh5cqVqK+vhxACTU1NoS7rJ02ePBnvvvsuRowYgVWrVoW6nC6B4aIRIQQGDBiAd955J+hjzJ9++mnQntvpdIbFsejU+QTawPvvv6+2gaKiohBXdWn27dvHNqARofBAHU0oitJlziYSQoT9ODmFH7YBaovhQkREmuOsMBERaY7h0kkoigJZlrvMsAPRz8F20HkwXDqJ/fv3w2g0Yv/+/aEuhShk9u/fD5PJxHbQCTBciIhIcwwXIiLSHMOFiIg0x3AhIiLNMVyIiEhzDBciItIcw4WIiDTHcCEiIs0xXIiISHMMFyIi0hzDhYiINMdwISIizTFciIhIcwwXIiLSHMOFiIg0x3DpBBRFQXNzMwCgubmZF0qibinQDtr+P4UvhksYs1qtWLx4MdLT0zFlyhR4PB5MmTIF6enpWLx4MaxWa6hLJAo6toPOSSiM/7C0YcMGzJ49Gw6HAwDafUoTQgAATCYTVq5cifz8/JDUSBRsbAedF8MlDG3YsAEzZsxQrxf+YyRJghACa9euZcOiLoftoHNjuIQZq9WKfv36wel0XrBBBUiSBKPRiOrqalgsluAXSNQB2A46P865hJmlS5fC4XBcVIMCAFmW4XA48OGHHwa5MqKOw3bQ+bHnEkYURUF6ejoqKysvaSWMEAKpqakoKytTx6GJOiu2g66B4RJGGhsbkZSUdFmPT0xM1LAioo7HdtA1cFgsjNjt9st6vM1m06gSotBhO+gaGC5hxGw2X9bjY2JiNKqEKHTYDroGhksYSUxMRFpa2iWPFwshkJaWhoSEhCBVRtRx2A66BoZLGBFCYO7cuT/rsY888ggnMalLYDvoGjihH2a4vp+I7aArYM8lzFgsFqxcuRJCCEjShf95AjuTV61axQZFXQrbQefHcAlD+fn5WLt2LYxGI4QQP+jmB75nNBqxbt06TJs2LUSVEgUP20HnxnAJU/n5+aiursaiRYuQmpra7rbU1FQsWrQIp06dYoOiLo3toPPinEsnoCgKmpqaYLPZEBMTg4SEBE5aUrfDdtC5MFyIiEhzHBYjIiLNMVyIiEhzDBciItIcw4WIiDTHcCEiIs0xXIiISHMMFyIi0hzDhYiINMdwISIizTFciIhIcwwXIiLSHMOFiIg0x3AhIiLNMVyIiEhz/w/mJpPJqef7VAAAAABJRU5ErkJggg==\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.plot()" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.7" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/tutorials/.ipynb_checkpoints/Example_6_PDE_interpretation-checkpoint.ipynb b/tutorials/.ipynb_checkpoints/Example_6_PDE_interpretation-checkpoint.ipynb deleted file mode 100644 index 7a77b4ff..00000000 --- a/tutorials/.ipynb_checkpoints/Example_6_PDE_interpretation-checkpoint.ipynb +++ /dev/null @@ -1,279 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "5d904dee", - "metadata": {}, - "source": [ - "# Example 6: Solving Partial Differential Equation (PDE)" - ] - }, - { - "cell_type": "markdown", - "id": "7d568912", - "metadata": {}, - "source": [ - "We aim to solve a 2D poisson equation $\\nabla^2 f(x,y) = -2\\pi^2{\\rm sin}(\\pi x){\\rm sin}(\\pi y)$, with boundary condition $f(-1,y)=f(1,y)=f(x,-1)=f(x,1)=0$. The ground truth solution is $f(x,y)={\\rm sin}(\\pi x){\\rm sin}(\\pi y)$." - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "id": "0e2bc449", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "pde loss: 2.52e+00 | bc loss: 1.57e-03 | l2: 3.10e-03 : 100%|███████| 20/20 [00:25<00:00, 1.25s/it]\n" - ] - } - ], - "source": [ - "from kan import *\n", - "import matplotlib.pyplot as plt\n", - "from torch import autograd\n", - "from tqdm import tqdm\n", - "\n", - "dim = 2\n", - "np_i = 21 # number of interior points (along each dimension)\n", - "np_b = 21 # number of boundary points (along each dimension)\n", - "ranges = [-1, 1]\n", - "\n", - "model = KAN(width=[2,2,1], grid=5, k=3, seed=3)\n", - "\n", - "def batch_jacobian(func, x, create_graph=False):\n", - " # x in shape (Batch, Length)\n", - " def _func_sum(x):\n", - " return func(x).sum(dim=0)\n", - " return autograd.functional.jacobian(_func_sum, x, create_graph=create_graph).permute(1,0,2)\n", - "\n", - "# define solution\n", - "sol_fun = lambda x: torch.sin(torch.pi*x[:,[0]])*torch.sin(torch.pi*x[:,[1]])\n", - "source_fun = lambda x: -2*torch.pi**2 * torch.sin(torch.pi*x[:,[0]])*torch.sin(torch.pi*x[:,[1]])\n", - "\n", - "# interior\n", - "sampling_mode = 'random' # 'radnom' or 'mesh'\n", - "\n", - "x_mesh = torch.linspace(ranges[0],ranges[1],steps=np_i)\n", - "y_mesh = torch.linspace(ranges[0],ranges[1],steps=np_i)\n", - "X, Y = torch.meshgrid(x_mesh, y_mesh, indexing=\"ij\")\n", - "if sampling_mode == 'mesh':\n", - " #mesh\n", - " x_i = torch.stack([X.reshape(-1,), Y.reshape(-1,)]).permute(1,0)\n", - "else:\n", - " #random\n", - " x_i = torch.rand((np_i**2,2))*2-1\n", - "\n", - "# boundary, 4 sides\n", - "helper = lambda X, Y: torch.stack([X.reshape(-1,), Y.reshape(-1,)]).permute(1,0)\n", - "xb1 = helper(X[0], Y[0])\n", - "xb2 = helper(X[-1], Y[0])\n", - "xb3 = helper(X[:,0], Y[:,0])\n", - "xb4 = helper(X[:,0], Y[:,-1])\n", - "x_b = torch.cat([xb1, xb2, xb3, xb4], dim=0)\n", - "\n", - "steps = 20\n", - "alpha = 0.01\n", - "log = 1\n", - "\n", - "def train():\n", - " optimizer = LBFGS(model.parameters(), lr=1, history_size=10, line_search_fn=\"strong_wolfe\", tolerance_grad=1e-32, tolerance_change=1e-32, tolerance_ys=1e-32)\n", - "\n", - " pbar = tqdm(range(steps), desc='description', ncols=100)\n", - "\n", - " for _ in pbar:\n", - " def closure():\n", - " global pde_loss, bc_loss\n", - " optimizer.zero_grad()\n", - " # interior loss\n", - " sol = sol_fun(x_i)\n", - " sol_D1_fun = lambda x: batch_jacobian(model, x, create_graph=True)[:,0,:]\n", - " sol_D1 = sol_D1_fun(x_i)\n", - " sol_D2 = batch_jacobian(sol_D1_fun, x_i, create_graph=True)[:,:,:]\n", - " lap = torch.sum(torch.diagonal(sol_D2, dim1=1, dim2=2), dim=1, keepdim=True)\n", - " source = source_fun(x_i)\n", - " pde_loss = torch.mean((lap - source)**2)\n", - "\n", - " # boundary loss\n", - " bc_true = sol_fun(x_b)\n", - " bc_pred = model(x_b)\n", - " bc_loss = torch.mean((bc_pred-bc_true)**2)\n", - "\n", - " loss = alpha * pde_loss + bc_loss\n", - " loss.backward()\n", - " return loss\n", - "\n", - " if _ % 5 == 0 and _ < 50:\n", - " model.update_grid_from_samples(x_i)\n", - "\n", - " optimizer.step(closure)\n", - " sol = sol_fun(x_i)\n", - " loss = alpha * pde_loss + bc_loss\n", - " l2 = torch.mean((model(x_i) - sol)**2)\n", - "\n", - " if _ % log == 0:\n", - " pbar.set_description(\"pde loss: %.2e | bc loss: %.2e | l2: %.2e \" % (pde_loss.cpu().detach().numpy(), bc_loss.cpu().detach().numpy(), l2.detach().numpy()))\n", - "\n", - "train()" - ] - }, - { - "cell_type": "markdown", - "id": "e2246bab", - "metadata": {}, - "source": [ - "Plot the trained KAN" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "id": "02e2a0ba", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.plot(beta=10)" - ] - }, - { - "cell_type": "markdown", - "id": "64d2573b", - "metadata": {}, - "source": [ - "Fix the first layer activation to be linear function, and the second layer to be sine functions (caveat: this is quite sensitive to hypreparams)" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "id": "e2e78752", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "r2 is 0.8422812819480896\n", - "r2 is not very high, please double check if you are choosing the correct symbolic function.\n", - "r2 is 0.8454716801643372\n", - "r2 is not very high, please double check if you are choosing the correct symbolic function.\n", - "Best value at boundary.\n", - "r2 is 0.9996306300163269\n", - "r2 is 0.9994996190071106\n", - "r2 is 0.998060405254364\n", - "r2 is 0.9991359710693359\n" - ] - } - ], - "source": [ - "for i in range(2):\n", - " for j in range(2):\n", - " model.fix_symbolic(0,i,j,'x')\n", - " \n", - "for i in range(2):\n", - " model.fix_symbolic(1,i,0,'sin')" - ] - }, - { - "cell_type": "markdown", - "id": "3fae3f32", - "metadata": {}, - "source": [ - "After setting all to be symbolic, we further train the model (affine parameters are still trainable). The model can now reach machine precision!" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "id": "308b72af", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "pde loss: 3.55e-11 | bc loss: 2.39e-13 | l2: 1.88e-13 : 100%|███████| 20/20 [00:11<00:00, 1.78it/s]\n" - ] - } - ], - "source": [ - "train()" - ] - }, - { - "cell_type": "markdown", - "id": "35985ae9", - "metadata": {}, - "source": [ - "Print out the symbolic formula" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "id": "f0ec310e", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle - 0.5 \\sin{\\left(3.141592 x_{1} + 3.141593 x_{2} - 4.712389 \\right)} + 0.5 \\sin{\\left(3.141593 x_{1} - 3.141592 x_{2} + 1.570797 \\right)}$" - ], - "text/plain": [ - "-0.5*sin(3.141592*x_1 + 3.141593*x_2 - 4.712389) + 0.5*sin(3.141593*x_1 - 3.141592*x_2 + 1.570797)" - ] - }, - "execution_count": 5, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "formula = model.symbolic_formula()[0][0]\n", - "ex_round(formula,6)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "5c3e90ca", - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.7" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/tutorials/.ipynb_checkpoints/Example_7_PDE_accuracy-checkpoint.ipynb b/tutorials/.ipynb_checkpoints/Example_7_PDE_accuracy-checkpoint.ipynb deleted file mode 100644 index f4ee1a64..00000000 --- a/tutorials/.ipynb_checkpoints/Example_7_PDE_accuracy-checkpoint.ipynb +++ /dev/null @@ -1,211 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "5d904dee", - "metadata": {}, - "source": [ - "# Example 6: Solving Partial Differential Equation (PDE)" - ] - }, - { - "cell_type": "markdown", - "id": "7d568912", - "metadata": {}, - "source": [ - "We aim to solve a 2D poisson equation $\\nabla^2 f(x,y) = -2\\pi^2{\\rm sin}(\\pi x){\\rm sin}(\\pi y)$, with boundary condition $f(-1,y)=f(1,y)=f(x,-1)=f(x,1)=0$. The ground truth solution is $f(x,y)={\\rm sin}(\\pi x){\\rm sin}(\\pi y)$." - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "id": "0e2bc449", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "pde loss: 2.76e+00 | bc loss: 1.17e-03 | l2: 3.09e-03 : 100%|███████| 50/50 [04:39<00:00, 5.58s/it]\n", - "pde loss: 6.17e-01 | bc loss: 3.86e-04 | l2: 1.02e-03 : 100%|███████| 50/50 [04:41<00:00, 5.63s/it]\n", - "pde loss: 3.59e-02 | bc loss: 2.90e-05 | l2: 5.40e-05 : 100%|███████| 50/50 [05:03<00:00, 6.06s/it]\n" - ] - } - ], - "source": [ - "from kan import KAN, LBFGS\n", - "import torch\n", - "import matplotlib.pyplot as plt\n", - "from torch import autograd\n", - "from tqdm import tqdm\n", - "\n", - "dim = 2\n", - "np_i = 51 # number of interior points (along each dimension)\n", - "np_b = 51 # number of boundary points (along each dimension)\n", - "ranges = [-1, 1]\n", - "\n", - "\n", - "def batch_jacobian(func, x, create_graph=False):\n", - " # x in shape (Batch, Length)\n", - " def _func_sum(x):\n", - " return func(x).sum(dim=0)\n", - " return autograd.functional.jacobian(_func_sum, x, create_graph=create_graph).permute(1,0,2)\n", - "\n", - "# define solution\n", - "sol_fun = lambda x: torch.sin(torch.pi*x[:,[0]])*torch.sin(torch.pi*x[:,[1]])\n", - "source_fun = lambda x: -2*torch.pi**2 * torch.sin(torch.pi*x[:,[0]])*torch.sin(torch.pi*x[:,[1]])\n", - "\n", - "# interior\n", - "sampling_mode = 'mesh' # 'radnom' or 'mesh'\n", - "\n", - "x_mesh = torch.linspace(ranges[0],ranges[1],steps=np_i)\n", - "y_mesh = torch.linspace(ranges[0],ranges[1],steps=np_i)\n", - "X, Y = torch.meshgrid(x_mesh, y_mesh, indexing=\"ij\")\n", - "if sampling_mode == 'mesh':\n", - " #mesh\n", - " x_i = torch.stack([X.reshape(-1,), Y.reshape(-1,)]).permute(1,0)\n", - "else:\n", - " #random\n", - " x_i = torch.rand((np_i**2,2))*2-1\n", - "\n", - "# boundary, 4 sides\n", - "helper = lambda X, Y: torch.stack([X.reshape(-1,), Y.reshape(-1,)]).permute(1,0)\n", - "xb1 = helper(X[0], Y[0])\n", - "xb2 = helper(X[-1], Y[0])\n", - "xb3 = helper(X[:,0], Y[:,0])\n", - "xb4 = helper(X[:,0], Y[:,-1])\n", - "x_b = torch.cat([xb1, xb2, xb3, xb4], dim=0)\n", - "\n", - "alpha = 0.01\n", - "log = 1\n", - "\n", - "\n", - "grids = [5,10,20]\n", - "steps = 50\n", - "\n", - "pde_losses = []\n", - "bc_losses = []\n", - "l2_losses = []\n", - "\n", - "for grid in grids:\n", - " if grid == grids[0]:\n", - " model = KAN(width=[2,2,1], grid=grid, k=3, seed=3)\n", - " model = model.speed()\n", - " else:\n", - " model.save_plot_data = True\n", - " model.get_act(x_i)\n", - " model = model.refine(grid)\n", - " model = model.speed()\n", - "\n", - " def train():\n", - " optimizer = LBFGS(model.parameters(), lr=1, history_size=10, line_search_fn=\"strong_wolfe\", tolerance_grad=1e-32, tolerance_change=1e-32, tolerance_ys=1e-32)\n", - "\n", - " pbar = tqdm(range(steps), desc='description', ncols=100)\n", - "\n", - " for _ in pbar:\n", - " def closure():\n", - " global pde_loss, bc_loss\n", - " optimizer.zero_grad()\n", - " # interior loss\n", - " sol = sol_fun(x_i)\n", - " sol_D1_fun = lambda x: batch_jacobian(model, x, create_graph=True)[:,0,:]\n", - " sol_D1 = sol_D1_fun(x_i)\n", - " sol_D2 = batch_jacobian(sol_D1_fun, x_i, create_graph=True)[:,:,:]\n", - " lap = torch.sum(torch.diagonal(sol_D2, dim1=1, dim2=2), dim=1, keepdim=True)\n", - " source = source_fun(x_i)\n", - " pde_loss = torch.mean((lap - source)**2)\n", - "\n", - " # boundary loss\n", - " bc_true = sol_fun(x_b)\n", - " bc_pred = model(x_b)\n", - " bc_loss = torch.mean((bc_pred-bc_true)**2)\n", - "\n", - " loss = alpha * pde_loss + bc_loss\n", - " loss.backward()\n", - " return loss\n", - "\n", - " if _ % 5 == 0 and _ < 20:\n", - " model.update_grid_from_samples(x_i)\n", - "\n", - " optimizer.step(closure)\n", - " sol = sol_fun(x_i)\n", - " loss = alpha * pde_loss + bc_loss\n", - " l2 = torch.mean((model(x_i) - sol)**2)\n", - "\n", - " if _ % log == 0:\n", - " pbar.set_description(\"pde loss: %.2e | bc loss: %.2e | l2: %.2e \" % (pde_loss.cpu().detach().numpy(), bc_loss.cpu().detach().numpy(), l2.detach().numpy()))\n", - "\n", - " pde_losses.append(pde_loss.detach().numpy())\n", - " bc_losses.append(bc_loss.detach().numpy())\n", - " l2_losses.append(l2.detach().numpy())\n", - " \n", - " train()" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "id": "dcbfa677", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 2, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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AeuYEM1cOb6b07uaHY4VX8XtpDcMLdT2NKuD1GBucSNQOJS3vad7hf70EeJnfG7Fjxw74+/sDAGpqahAdHY0dO3ZAJtNOIf3111/Rv39/i1vd2qpVqzBu3Dj87W9/AwD069cPeXl5+Pvf/45Zs2ahsLAQfn5+mDx5MgICAhAbG4vBgwcD0IaXpqYm3HXXXYiNjQUADBw40Oo2uRKGFxvSvXGO6BPWZoiEm+2RKX26+eNY4VX8Vlrt7KYQUTuSk5Oxbt06AEB5eTnWrl2LiRMn4siRI4iNjYUoihA62ZPT0unTp9v03owaNQpr1qyBWq3G7bffjtjYWPTu3RupqalITU3F9OnToVAoMGjQIIwbNw4DBw7EhAkTMH78eNxzzz0ICQmxul2uguHFTty5B4Cco0837b/mGF6oS/JUaHtBTCk4CHx2j+njHtoExI4077oW8PPzw/XXX6//OikpCUFBQXj//ffx6quvol+/fjh92vptU4yFoJbDPgEBAcjNzUVWVhZ2796NRYsWYfHixcjOzkZwcDD27NmDgwcPYvfu3XjnnXfw4osv4vDhw4iLi7O6ba5AMkulMzIyEB8fj6FDhzq7KUSd0rubtuv699IaJ7eEyAkEQTt8Y+qjz1jtqqJ264sLQGB37XHmnM/KXhJBECCTyVBbWwsAePDBB3HmzBl89dVXbY4VRRGVlZVmnTc+Ph4HDhwweOzgwYPo168f5HLtXB4PDw+kpKRg5cqVOHHiBM6dO4fvvvtO365Ro0ZhyZIlOHbsGLy8vLBlyxZrbtWlSCa8OHJ7ACJ7aNnzIqWJdUQ2JZNrl0MDaBtgmr9OXW7eZN1OqK+vR3FxMYqLi3H69Gk8/fTTqK6uxpQpUwAA9913H+6//3488MADWLZsGY4ePYqCggLs2LEDKSkp2Lt3r1nXee655/Dtt9/ilVdewZkzZ/DJJ5/g3XffxfPPPw9AO/fm7bffxvHjx1FQUIB//OMf0Gg06N+/Pw4fPozXX38dR48eRWFhITZv3ozS0lIMGDDALt8TZ+CwEZGL6BWqgFwmQNWgRrGyDtFBvs5uEpFrip+qXQ5ttM7LcrvWedm1axeio7ULLwICAnDDDTfg3//+N8aMGQNA2+Pxz3/+E+vXr8dHH32EV199FR4eHujbty9mzpyJCRMmmHWdxMREfPnll1i0aBFeeeUVREdHY+nSpZg1axYAIDg4GJs3b8bixYtRV1eHvn374l//+hduvPFGnD59Gvv27cOaNWugVCoRGxuLN998ExMnTrTHt8QpBFFi/8SzZEttIlcz9o0s/F5Wg8/+PByjrg93dnOI7KKurg75+fmIi4uDj48VRTs1au0cmOrLgH+kdo6LnXpcyDY6+tlb8v7NnhciFxIX7offy2qw5dhFyASBq9SIOiKTA3Gjnd0KcgKGFyIXsetUEQ79fgUAsCnnAjblXEA06wMREbUhmQm7RO5s16kiPLExFzUNhhvLFVfW4YmNudh1qshJLSMicj0ML0ROptaIWLI9r91i5yKAv245iYYmjYNbRkTkmhheiJzsSH55u3ti6ZTXNOIPy75lDwwRERheiJyupKrj4KJTXtOA2Rtz8VbmGag1klokSERkEYYXIieLCLBsqejqzF8xavl37IUhoi6L4YXIyYbFhSI6yKfdYufGFCs5kZeIui6GFyInk8sEvDwlvlOvXbI9j0NIRNTlMLwQuYDUhGis+1MiQv08zX6NCKCosg5H8svt1zAiIgts2LABwcHBdr+OS4aXHTt2oH///ujbty8++OADZzeHyCFSE6JxaGEKQv28LHqduRN+iaRGrVEjuzgbO3/fiezibKg1atMvssKsWbMwbdo0o8+Vl5fj6aefRv/+/aFQKNCrVy/MmTPH7F2kyTIuV2G3qakJ6enp2Lt3LwIDA5GYmIi77roLoaGhzm4akd15ecjw+vQEPLEx12jdF2PC/bzt2iYiV5RZkInlR5bjsuqy/rFIRSQWDFuAlNgUh7fn0qVLuHTpEt544w3Ex8ejoKAAs2fPxqVLl7Bp0yaHt8caarUagiBAJnPJ/g0ALtjzcuTIEdx4443o3r07AgICMGnSJHzzzTfObhaRw+iGkKICzQslz/37J07cpS4lsyAT6VnpBsEFAEpUJUjPSkdmQabD25SQkID//Oc/mDJlCvr06YOxY8fitddew/bt29HU1NTu6zZt2oSBAwfC19cXYWFhSElJQU1NDQBtiEhPT0dwcDDCwsIwb948PPzwwwa9P9dddx3WrFljcM6bb74Zixcv1n+9atUqDBw4EH5+fujZsyeefPJJVFdX65/XDfXs2LED8fHx8Pb2RkFBARoaGjBv3jx0794dfn5+GD58OLKysgyutWHDBvTq1QsKhQLTp0/HlStXOv09tITNw8u+ffswZcoUxMTEQBAEbN26tc0xa9eu1e8omZSUhP379+ufu3TpErp3767/ukePHrh48aKtm0nk0lITovHDgnF4NqWfyWMvc+URSYAoilA1qkx+VNVXYdmRZRCN9E2Kzf8tP7IcVfVVZp1PFO034V23O7KHh/FBjqKiIjzwwAN49NFHcfr0aWRlZeGuu+7St+nNN9/ERx99hA8//BAHDhxAeXk5tmzZYnE7ZDIZ3n77bZw6dQqffPIJvvvuO8ybN8/gGJVKhWXLluGDDz7Azz//jIiICDzyyCP44Ycf8Pnnn+PEiRO49957kZqail9//RUAcPjwYTz66KN48skncfz4cSQnJ+PVV1+1uH2dYfNho5qaGgwaNAiPPPII7r777jbPf/HFF5g7dy7Wrl2LUaNG4f/+7/8wceJE5OXloVevXkb/RxKE9heR1tfXo76+Xv+1Uqm0zY0QOZlcJuCZlL7oH+WPxdt+RrGy3uhxIgAB2pVHt8dHcRdqcku1TbUY/s/hNjnXZdVljPx8pFnHHn7wMBSeCptct6UrV67glVdewV/+8pd2jykqKkJTUxPuuusuxMbGAgAGDhyof37NmjVYuHCh/r30vffe69RIxNy5c/Wfx8XF4ZVXXsETTzyBtWvX6h9vbGzE2rVrMWjQIADAb7/9hn/961+4cOECYmJiAADPP/88du3ahY8//hivv/463nrrLUyYMAELFiwAAPTr1w8HDx7Erl27LG6jpWze8zJx4kS8+uqruOuuu4w+v2rVKjz22GP485//jAEDBmDNmjXo2bMn1q1bBwDo3r27QU/LhQsXEB3d/o66y5YtQ1BQkP6jZ8+etr0hIidLTYjGm/fd3OExXHlE5DqUSiXuuOMOxMfH4+WXX273uEGDBmHcuHEYOHAg7r33Xrz//vuoqKgAoO21KSoqwogRI/THe3h4YMiQIRa3Z+/evbj99tv10zFmzpyJK1eu6IenAMDLyws33XST/uvc3FyIooh+/frB399f//H999/jt99+AwCcPn3aoH0A2nxtLw6dsNvQ0ICcnBx9StMZP348Dh48CAAYNmwYTp06hYsXLyIwMBA7d+7EokWL2j3nwoULkZ6erv9aqVQywJDklFUb73VpjSuPyF35evji8IOHTR6XczkHT377pMnj1o5bi6TIJLOua0tVVVVITU2Fv78/tmzZAk/P9ssfyOVy7NmzBwcPHsTu3bvxzjvv4MUXX8Thw4fNXqQik8najFg0NjbqPy8oKMCkSZMwe/ZsvPLKKwgNDcWBAwfw2GOPGRzn6+trMMqh0Wggl8uRk5MDuVxucH5/f38AsOuQmykODS9lZWVQq9WIjIw0eDwyMhLFxcXaBnl44M0330RycjI0Gg3mzZuHsLCwds/p7e0Nb2+utiBpM3cLAUu3GiByFYIgmDV8MzJmJCIVkShRlRid9yJAQKQiEiNjRkIukxs5g/0olUpMmDAB3t7e2LZtG3x8TP8+CoKAUaNGYdSoUVi0aBFiY2OxZcsWpKenIzo6GocOHcKtt94KQLsaNycnB4mJifrXd+vWDUVF1+a7KZVK5Ofn678+evQompqa8Oabb+pXD3355Zcm2zV48GCo1WqUlJRg9OjRRo+Jj4/HoUOHDB5r/bW9OGWpdOs5LKIoGjw2depUTJ061aJzZmRkICMjA2q1fdf5EzmDbguB4so6o0uoBQBRQT4YFseSAiRtcpkcC4YtQHpWOgQIBgFGaN5kY/6w+XYLLpWVlTh+/LjBY6GhoQgJCcH48eOhUqmwceNGKJVK/RzMbt26tem9ALQTXr/99luMHz8eEREROHz4MEpLSzFgwAAAwDPPPIPly5ejb9++GDBgAFatWoWrV68anGPs2LHYsGEDpkyZgpCQEPztb38zuFafPn3Q1NSEd955B1OmTMEPP/yA9957z+R99uvXDw899BBmzpyJN998E4MHD0ZZWRm+++47DBw4EJMmTcKcOXMwcuRIrFy5EtOmTcPu3bsdMt8FcPBS6fDwcMjlcn0vi05JSUmb3hhLpaWlIS8vD9nZ2Vadh8gVtdxCwNh0XBHAfUN64NDvV/DV8Yv48bcr3DaAJCslNgWrxqxChCLC4PFIRSRWjVll1zovWVlZGDx4sMHHokWLkJOTg8OHD+PkyZO4/vrrER0drf84f/680XMFBgZi3759mDRpEvr164eXXnoJb775JiZOnAgAeO655zBz5kzMmjULI0aMQEBAAKZPn25wjoULF+LWW2/F5MmTMWnSJEybNg19+vTRP3/zzTdj1apVWLFiBRISEvDZZ59h2bJlZt3rxx9/jJkzZ+K5555D//79MXXqVBw+fFg/NeMPf/gDPvjgA7zzzju4+eabsXv3brz00kud+bZaTBDtOGglCAK2bNlisCZ9+PDhSEpKMpjlHB8fjzvvvNPsb2hHlEolgoKC9EvUiKRk16kiLNmeh6JK03NbQv08Mf3m7kiJj8KwuFCuQiKXUVdXh/z8fH3JjM5Sa9TILclFqaoU3RTdkBiR6PChIkebNWsWrl69arQMiTvo6Gdvyfu3zYeNqqurcfbsWf3X+fn5OH78OEJDQ9GrVy+kp6djxowZGDJkCEaMGIH169ejsLAQs2fPtuq6HDairiA1IRq3x0fh3e/OYnXmmQ6PLa9pxIc/nMOHP5xjkCFJksvkGBo11NnNICeweXg5evQokpOT9V/rVgI9/PDD2LBhA+6//35cuXIFS5cuRVFRERISErBz5079GvfOSktLQ1pamj65EUnZ59mFFh1vLMiMvSESELQrmSICfBhqiMht2HXYyBk4bERS9+NvV/DA+7af0W8s1IT7eZv8PCLAB0mxIcgpqEBJVV2HxzEgEWC7YSNyPy47bERE9mWvWi4te2csJRMAc+YHdzYg8fPOfc7ASFIlmfDCOS/UVbhiLRdzFzZZE5Coc6KDfPDylHikJrRfqdxZJNbxT2aw1c/c5XaV7iwulaauQlfzhf+WJnMUV7rexp26qrMqlcrJLSFHa2hoAACjdW8sIZmeF6KuQlfz5YmNuRAAo0XriHRcceNOuVyO4OBglJSUAAAUCkWHG/CSNGg0GpSWlkKhULS707a5GF6I3FBqQjTW/SnR7Jov1LW13LhzRJ/2t1txpKioKADQBxjqGmQyGXr16mV1WJVMeOGcF+pqdDVfjuSXG6zy+fb0ZWw9fgnlNQ3ObiK5GFfauFMQBERHRyMiIsJgg0CSNi8vL/0eS9bgUmkiCVJrRBzJL8eevGIGGdL71+N/cJmeF6LWuFSaqIuTywSM6BOGEX3C8OId8QwyXRw37iSpYXghkjhjQcbWw0zm1nkhx9PNLHh5SrxLTNYlsgUOGxGRfpipowq51lTY5Twc53HlOi9ELVny/i2Z8NJywu6ZM2cYXohcjDUBiZ9b9vnPlyrx+tf/Q/dgH+ybN5Y9LuQWuuScF27MSOTadMNXZH9BCm0RuEa1yOBCkiSZCrtERKQV3BxertZyCTJJE8MLEZHEBPlqw0tDkwZ1jax9RdLD8EJEJDH+3h764aKrKva+kPQwvBARSYwgCAhu7n2p5NARSRDDCxGRBOmGjq6quDydpEcy4SUjIwPx8fEYOnSos5tCROR0uhVH7HkhKZJMeElLS0NeXh6ys7Od3RQiIqfT97wwvJAESSa8EBHRNfo5L5ywSxLE8EJEJEFBnLBLEsbwQkQkQUEKLwDA1VpO2CXpYXghIpKgaz0vTU5uCZHtMbwQEUlQMJdKk4QxvBARSZBufyMl57yQBEkmvLDOCxHRNVwqTVImmfDCOi9ERNcEs0gdSZhkwgsREV0T2GKptEYjOrk1RLbF8EJEJEG6YSNRBKrqueKIpIXhhYhIgrw95PD1lANglV2SHoYXIiKJ0s17YaE6khqGFyIiieIWASRVDC9ERBKlXy7NYSOSGIYXIiKJ4nJpkiqGFyIiieKwEUkVwwsRkUQFN+8szfBCUiOZ8MLtAYiIDAVxc0aSKMmEF24PQERkiMNGJFWSCS9ERGSIq41IqhheiIgkiquNSKoYXoiIJIrDRiRVDC9ERBIV7KtdbcRhI5IahhciIokKah42qm1Uo75J7eTWENkOwwsRkUQFeHtAELSfc+iIpIThhYhIokQACi85AGDfmVKoNaJzG0RkIwwvREQStOtUEW5Z8R1q6rXDRc//+wRuWfEddp0qcnLLiKzH8EJEJDG7ThXhiY25KKqsM3i8uLIOT2zMZYAht8fwQkQkIWqNiCXb82BsgEhs/vjrlpNoaNI4uGVEtsPwQkQkIUfyy9v0uLRWXtOIPyz7lj0w5LY8nN0AIiKynZKqjoOLTnlNA2ZvzMUz467HsLgwlFXXIyLAB8PiQiGXCXZuJZF1XDK8TJ8+HVlZWRg3bhw2bdrk7OYQEbmNiAAfi45/69uzAM7qv44K9MYDw3rhunA/hhlyWS4ZXubMmYNHH30Un3zyibObQkTkVobFhSI6yAfFlXVG572YUqysx+rMX/VfRwf54OUp8UhNiLZdI4ms5JJzXpKTkxEQEODsZhARuR25TMDLU+Jtdj6uUCJXZHF42bdvH6ZMmYKYmBgIgoCtW7e2OWbt2rWIi4uDj48PkpKSsH//flu0lYiIzJCaEI11f0pEqJ+n1efS9d4s2Z7HInfkMiwOLzU1NRg0aBDeffddo89/8cUXmDt3Ll588UUcO3YMo0ePxsSJE1FYWKg/JikpCQkJCW0+Ll26ZPEN1NfXQ6lUGnwQEXV1qQnROLQwBaF+XlafSwRQVFmHI/nl1jeMyAYsnvMyceJETJw4sd3nV61ahcceewx//vOfAQBr1qzBN998g3Xr1mHZsmUAgJycnE42t61ly5ZhyZIlNjsfEZFUeHnI8Pr0BDyxMbdT819aM3clE5G92XTOS0NDA3JycjB+/HiDx8ePH4+DBw/a8lJ6CxcuRGVlpf7j/PnzdrkOEZE70g0hRQV6W30uS1cyEdmLTVcblZWVQa1WIzIy0uDxyMhIFBcXm32eCRMmIDc3FzU1NejRowe2bNmCoUOHGj3W29sb3t7W/1ISEUlVakI0bo+PwrvfncXqzDMWv14AEBWkXTZN5ArsslRaEAxrAoii2OaxjnzzzTcWXzMjIwMZGRlQq9UWv5aISOrkMgHPpPRF/yh/LNmeZ7IKb0sigD8O7Wm/xhFZyKbhJTw8HHK5vE0vS0lJSZveGFtLS0tDWloalEolgoKC7HotIiJ3peuFOZJfjpKqOoT7eQMCUFZdj3NlKvzrSCGKlW2DzerMX/HJj+cw/ebuGHtDpP41LGRHzmDT8OLl5YWkpCTs2bMH06dP1z++Z88e3Hnnnba8FBERdZJcJmBEnzCjzz019vp2h5fKaxrx4Q/n8OEP5wweD/XzxPSbuyMlPopBhhzC4vBSXV2Ns2evlZLOz8/H8ePHERoail69eiE9PR0zZszAkCFDMGLECKxfvx6FhYWYPXu2TRveGoeNiIhs4/PsQtMHtdAy1DDIkCMIoihatIIuKysLycnJbR5/+OGHsWHDBgDaInUrV65EUVEREhISsHr1atx66602abApumGjyspKBAYGOuSaRERS8eNvV/DA+4dsci5uLUCWsOT92+Lw4uoYXoiIOu+r4xfxzOfHbXIuXZ/Luj8lMsCQSZa8f7vk3kZEROQctqzlwq0FyF4kE14yMjIQHx/fbj0YIiIyTbcrta1mqnBrAbIHDhsREZGBXaeKbLalgM5TyX3QNzKAS6upXZzzwvBCRGSVXaeKLC5mZy5O5CVjGF4YXoiIrKbWiDiSX449ecXYevwSymsabHr+Z1P64qmxfdkLQwC6aHhpWeflzJkzDC9ERDakCzItq/J+e/qy1aEmKtAHi6eyF4a6aHjRYc8LEZHjtOyd2XLsIipUjZ06D3thiOGF4YWIyOF+OFuGhz443OnXhyg8cddgVuftqix5/7bLrtJERNT1lFXXW/X6ChW3GSDzMLwQEZFN2LLAHfdLoo5IJrxwY0YiIufSFbgrrqyzaY0YBhlqjXNeiIjIZnQF7gDYNMAYwyAjLZywy/BCROQ0xgrc+XvLUV1vv55xBhn3x/DC8EJE5FQt68LotgTYk1eMxdt+RrHSuom9puiCzNgbIgFBO5FYV5umM59zSwPHYHhheCEicklqjYh3vzuL1ZlnnN0Ui9g6ENn784gAHyTFhiCnoMIgQLpyAGN4YXghInJp9tw7ibRkAqBp8Q7v6j1SDC8ML0RELs/eeyeR/dlyk80uGV64txERkftikHFPuj6XdX9KtDrAdMnwosOeFyIi98Yg414EAFFBPjgwf6xVQ0gMLwwvRESSwCDjPv71+B8wok9Yp1/PvY2IiEgS5DIBI/qEYUSfMLx4RzyDjAsrqXLc5GuGFyIicgsMMq7NlntbmcLwQkREbodBxnXo5rwMiwt12DUZXoiIyK0ZCzIlVXU2Kfj27enLbhuIWtd5sQfd9NyXp8Q7tAAeJ+wSERF1oOVWB65QPdfSCrv27JFinRcrsc4LERGRcfYIYKywa0PseSEiInI/lrx/yxzUJiIiIiKbYHghIiIit8LwQkRERG6F4YWIiIjcCsMLERERuRWGFyIiInIrDC9ERETkVhheiIiIyK0wvBAREZFbkczGjC23ByByKxo1UHAQqL4M+EcCsSMBmdzZrSIiclncHoDImfK2AbvmA8pL1x4LjAFSVwDxU53XLiIiB+P2AETuIG8b8OVMqJWXkO3jjZ1+CmT7eEOtLAK+nKl9noiI2pDMsBGRW9GogV3zkanwwfKwEFz2uParGNnUhAVXriJl1wLghjs4hERE1Ap7XoicoeAgMpsqkB4Rjstyw3BSIpcjPSIMmU3l2rkwRERkgOGFyAnUVUVYHhYCEQAEweA5sfnrFWEhUFcVOb5xREQujuGFyAly1VXaoaJWwUVHFAQUe3ggV13l4JYREbk+hhciJygNjLTpcUREXQnDC5ETdPMzL5SYexwRUVfC8ELkBIkRiYhURML4oBEgAIhSRCExItGRzSIicgsML+bSqIH8/cDJTdo/NazkS50nl8mxYNgCwEh8ESAAEDB/2HzIuUyaiKgN1nkxB6ugkh2kxKZg1ZhVWPrDIlQ0XpuYG6mIxPxh85ESm+LE1hERuS72vJjSXAXVILgAAKugkg2kxKbgr9ffp//6Xr8+2HX3LgYXIqIOMLx0pLkKKmBs+6fmx3Yt4BASWaWqXqn/PEQUOFRERGSCy4WX8+fPY8yYMYiPj8dNN92Ef//7385rTMHBtj0uBkRAeZFVUMkqyoZK/ec1TSontoSIyD243JwXDw8PrFmzBjfffDNKSkqQmJiISZMmwc/Pz/GNqb5s2+OIjFDWX5vvUq2uc2JLiIjcg8uFl+joaERHRwMAIiIiEBoaivLycueEF38za2yYexyREZUtJuvWqOud2BIiIvdg8bDRvn37MGXKFMTExEAQBGzdurXNMWvXrkVcXBx8fHyQlJSE/fv3d6pxR48ehUajQc+ePTv1eqvFjtSuKuqoGkdgd+1xRJ2kbKrRf16taXRiS4iI3IPF4aWmpgaDBg3Cu+++a/T5L774AnPnzsWLL76IY8eOYfTo0Zg4cSIKCwv1xyQlJSEhIaHNx6VL1+aXXLlyBTNnzsT69es7bE99fT2USqXBh83I5Nrl0ADaBpjmr1OXa48j6iRlU63+8xqxyYktISJyD4IoisaW0pj3YkHAli1bMG3aNP1jw4cPR2JiItatW6d/bMCAAZg2bRqWLVtm1nnr6+tx++234/HHH8eMGTM6PHbx4sVYsmRJm8crKysRGBho3o2YYrTOS3dtcGGdF7LSff+8BacbtZN2r1MD2x896eQWERE5nlKpRFBQkFnv3zZdbdTQ0ICcnByMHz/e4PHx48fj4EHzVuSIoohZs2Zh7NixJoMLACxcuBCVlZX6j/Pnz3eq7R2KnwrMPQUk3KP9uv8dwNyTDC5kE0p1g/7zGmic2BIiIvdg0/BSVlYGtVqNyEjDCayRkZEoLi426xw//PADvvjiC2zduhU333wzbr75Zpw82f6/RL29vREYGGjwYRcyOXDdLdrPNY0cKiKbUWquhZfq9qZXERGRnl1WGwmC4d/Aoii2eaw9t9xyCzQay//1mZGRgYyMDKjVdiwYFxKr/bOiwH7XoC5FrVGjCtf+n62VyaBuUEHupXBiq4iIXJtNe17Cw8Mhl8vb9LKUlJS06Y2xtbS0NOTl5SE7O9t+FwluDi9XC4HOTxUi0qtqqGrzWE1NiRNaQkTkPmwaXry8vJCUlIQ9e/YYPL5nzx6MHCmB5cRBPQEIQFMtUFPq7NaQBCgbtKvjFBoNvDTaQFyjYnghIuqIxcNG1dXVOHv2rP7r/Px8HD9+HKGhoejVqxfS09MxY8YMDBkyBCNGjMD69etRWFiI2bNn27ThrTlk2MjDS7vKSHlBO3TkH2G/a1GXUFmvXWUUpNGgXhBQDjmqVVec3CoiItdmcXg5evQokpOT9V+np6cDAB5++GFs2LAB999/P65cuYKlS5eiqKgICQkJ2LlzJ2JjY23XaiPS0tKQlpamX2plNyGx2vBytQDoOdR+16EuQdfzEqjWoFYmoFwuR3VtmZNbRUTk2iwOL2PGjIGp0jBPPvkknnzyyU43yqUFxwIFPwAV55zdEpIAfXjRaCBrHsWtrqtwZpOIiFyey+1t5PJ0K46ucsURWa/lsBFk2l/HmrqrTmwREZHrs+mEXWfKyMhAfHw8hg6181BOMJdLk+207Hnxk3kBAKobKp3ZJCIilyeZ8OKQpdIAe17IppTNPS+Bag38PXwBADX1bZdPExHRNZIJLw6j63mpvABo7LiyibqEyub5LUEaDfw8tYXpqhurndkkIiKXx/BiqYAoQOYJaJoA5UVnt4bcnLI5vARqNPD3CgAAVDfVOLNJREQuTzLhxWFzXmRyqIO6I9vHGzv3v4LsYx9C3dRg+nVERuiHjUThWnhprHVmk4iIXJ5kVhvZu86LWqNGbkku9h7/ADsCGlERHAmUHwLKDyHy2Gos6PcQUm5ZaPPrkrRV6ibsyrz04aVGXefMJhERuTzJhBd7yizIxPIjy3FZdVn7gNxwR+kSGZB+9jOsAhhgyCLK5r2NguTe8PPS7oherWFPHhFRRyQzbGQvmQWZSM9KvxZcjBCbd8xeceYzDiGRRZSN2vktgXJv+Htrw0uNptGZTSIicnkMLx1Qa9RYfmQ5RJjeQVoUBBTLBeSe/NQBLXNBGjWQvx84uUn7J1dimdSobkStph4AEChXwN87BABQLTY5s1lERC5PMsNG9tiYMbckt8MeF2NKlYU2u77byNsG9a75yG24glK5HN3UaiR6hUGeugKIn+rs1rmsyuZidIIowt/LD36+oQCAamic2SwiIpcnmfBijwm7papSi18TFtDDJtd2G3nbkLnjL1geFozLHpH6hyObmrBgx1+QAjDAtENXXddfI0LuqYB/c3ipMaOnj4ioK+OwUQe6KbpZ/JoXf/scmQWZdmhN+9QaNbKLs7Hz953ILs6G2lFDNho1Mr9bgPSIMFxuPYlZLkd6RBgyv1vAIaR2KOuvbQ0ATz/4Nf//ViMTHPczJCJyQ5LpebGHxIhERCoiUaIqMWveCwBcVpXg2axnkTYoDY/f9DjkMrnpF1mhzUooAJGKSCwYtgApsSl2vbb63AEs923+zjRPWtYRBQGCKGKFr4jkcwcg732bXdvijnQ9L0EaNeDpiwC/az1XqoYqBPgEO6llRESujT0vHZDL5FgwbAEAQIBg4mhDGT9lYMJ/Jti1F6a9lVAlqhKkZ6XbvQcotzgblz082gQXHVEQUOzhgdxiO+835aZ0O0oHajSAlwJevqHwFLUhuUZV4symERG5NIYXE1JiU7BqzCpEKCIsfu1l1WW7hYiGpgYs/XGp0R4h3WPLDy/HoUuH7DacVCo3738fc4/ravQ7Squ1w0bw8Ia/RjtZt7rG8vlWRERdhWSGjeyx2kgnJTYFyT2TkVuSi1JVKX6r/A3rT6w3+/UrjqxAcs9kmw0hZRZkYumPS1FRX9HuMSJEXK69jMf3PK5/zNbDSd16jgT+97HJ48J6/MEm15Ma3ZyXII0G8PQFBAF+ooAKANW1V5zbOCIiFyaZfxKnpaUhLy8P2dn2GaKQy+QYGjUUk3pPwh+izX8zFiGiWFWM3JLcNs91ZqKtbqioo+DSHlPDSZa2JzFqKCI9AyGIHc8HevHg3xw+idkd6HtemoeNAMC/+Veyprbcae0iInJ1kul5caTEiEREyn1R0qTSV9c1pfWya2MTbUO8QzC592Tc1vM2iKKI8rpyhPmG6T8P8Qlpd6jIHLrXLf1xKW7tfiu8PLyu7dlUuBc7ft9hEIqMtaebohsSIxIhl8m1c4JGLUF61rOAKLY796Wk5jLSs57FqjGrDXp9dNcuVZUanLc9LY9v+X2xx2vba5s1bWjNILx4asOLnyADoEF1neXhlIioq2B46QS5TI4FUclIv/Bfs19TWluKnb/vRJhvGHKKc7DuxLo2x1TUV+DT05/i09P2rdJbUV+B2768DUkRSThRdqLdXpz22qMLNck9bkWy2hOvKwZgYU1eu9fTrzw6uFg/fGZueNOFgr3n97Y53mibeiW3CRrGgpmx1+quu+/CPqNB7qbwmzr8fpkKn60/P1d5DgBQLpNB7eEDOQB/wRNAPcMLEVEHBFE00efvZnRF6iorKxEYGGi/C/28FZn/nY1lEREoEST1LbRIiFqNhLp67PdTmHX8vKTnUaS6bFFA8/PwQ01TjfltMiNouJpIzwAsGLUUmVl/w39RjedjxuHh29c4u1lERA5jyfu3ZOa8OJx/BFJUtditlCHt5jRnt8ZpKuRys4MLAKzMecPiniVLggug7TH6/uL3bhNcAKCksQrpWem42vwbWdO82zQREbXF8NJZftql0/KaK5g9aDZWj1mNCF/Ll1MTAdDPYjquqQUAVDdaFtiIiLoSznnpLL9w7Z/1SqCxDimxKfD39DdYmtwldTBxlzomQkQNtCu8ahpVTm4NEZHrkkzPS0ZGBuLj4zF06FDHXNAnCJB7aT+v0VZDLa9z3vJWfw8/ALCwDrAdMLjYRLW61tlNICJyWZIJL/au89KGIOiHjtBcDbUzGzlaTRQRolbj+8uVWN3nQUR4BRs8LYiitjeE3EpNU52zm0BE5LIkE16cQjd0VK0NL7qNHC3dB6mzBFGEAGBRWTm8lJeQkrkc30Sm4qNKNVaUXMFHRZfxRkmZtjUMMC5PgIBguQ8AoErT4OTWEBG5LoYXa/jrel60w0ad2sixuWfET62x+PKRajVWlZQhRXVtiEG+byWG1qowqaYGQ+vqMV5Vi1UlZYg0c9uEELUat9WoENLJbRYEUUSIzLtTr+3KdP+3PBCuHfasERud1xgiIhfHCbvW0A0bVV/bAVi3kWNHBdVailKrMf9KBZJVtcj18UapXI4wtRoigPIOPu+mViOxrh5G67nWNi8RlnsB6gakqGr1598bNxw71GWoaKzWHx6iVmNydQ2SVbX6c6qBNu3Zp/DFDn8/VMiNV5EVmifrvtRrClae/RwlcnnHFYibe4NuU9XihI93u+c15ombnkBiZKLRgnLtMacYXevjjdWLsfQ85ohURGL+sAWILvsN6y7vR7Vo+z26iIikgkXqrJG5GDiwGhj+BDBxucFTBmXkvYMhnvgS5ae+MD+AWE0ABDkgNgH9JgBndkO3IFcNIDcoHKVNKovboAs1e40EmajmN+AUjTcy/30v0iO0w2rtBZiopibMv1KBFFVt27A0+nns80SbUBCliML8YfONbjPQ0RYHLSvvGtyPGeX+zdnGoL3zdPh5TRnKt/wZ3TQiEp+/ALncA7+f+gJ35rwKbxFYl/qRxVsOEBG5K0vevxlerPFjBvDNX4GEu4F7PjJ+TN424Ot5QFWRfdviBNrA4YNSuRzdRs9D4rCntW+0GjWwJgGZTVexPCwYlz2udfAZ6+UxasZXQJ8xVu1/1Jn9hhzqym/AO4mAVwDw1wvILMjE6weXoLThqv4QW+8ETkTkqix5/+awkTWMDBsZyNsGfDkT6ORGii5JkAGidn6OHMBQrzAgdTkQP/XaMTI5kLoCKV/ORLJKpe9RsaiX5z+PAjfdD3n/SRgaO1J7TjPodv92Cw3Nhei8FPrdwltvuqnbCXzVmFUMMEREzRherOHfvDS6pqztcxo1sGs+JBVcIAB3fwz4hQHVlwH/SKC9YBE/FbjvH5B/PQ9DO9PrpLoCHFqr/QiMAVJXGAYkKWjUTrRWe/pi+ZHlRncLF6FdUbbiyAr9ppZERF0dVxtZw08XXoz0vBQcBJSXHNseewrsDtz3DyBhGhA3Ghh4j/bPjt5M46cCz/4MjPmrdddWFml7sPK2WXceV9O8BUCut3eHk7tFAMWqYuSW5DqoYUREro09L9bQDRupygF1EyBv8e2sNr3SyGwTXgcqLwAnvgRULXp5vAIAoxv4CbBpj8+YvwK3Pm/20I0BmRwYMx+IGKDtiWoZ6HzDgNorZpyk+V62z9Xec+2Vjnt93EVzz0uppycA0xV1S2ts+P8UEZEbY3ixhiL02hwQ1RUgIPLac/6R7b/ObIJ2yGT4bO2b9PhXtT06LYds/vfftqFAEap9viQP8AkG6irRqTAT2L3tfJbOip8K3HCHYfurioDNFuwFVXsF2Djt2teKMOCm+4H+k9wzyDRo9y/qplab9ZvYTcnwQkQESCi8ZGRkICMjA+pOFlfrFJlc+wZaU6odOmoZXmJHaoOHsggdBocOe0+gDQ+6N2WZXDtU01LLUJC1HCg4oH1D/3mL9vlRc4Fvl5h/T96BwOA/2ScQtG5//n7rzufu82Kah40SNZ6IbGpqvy6OKCJEo8EgmZ+DG0hE5JokM+fF4Xsb6bS34qh5xU2HxvwVWFAA3Pep9s23pcAY7RwTc96MdaFgyCPar3/5+trS7KGPas8TEG36PIpw4IXfgNRlpuez2IIu4NliOwXlJeDLGUDWCu1kaXfQPGwk9wnGgiva2jSCscoFgoAKuRyT8jKQWZDpyBYSEbkkyYQXp+loxVHzihvIWnVwBXbXBpYx87UBIX4qMPcU8PAO4O4PtX/OPWl5L0Lcrdo/K/K1f/qEAF7+ZkycFbQfk1cDHl6WXdMa5gQ8S2W9DrzRF9i1EPgtC/j9e+DkJm0vj6uFGt1S6eAeSPEIwaqSK4jooOewpKES6VnpDDBE1OVJZtjIaRTNmzOe3aPtRWg91HLDHbg2BLQCiLzR+HCMsSEhSxUe0gYlTZP267oKYE3CteGU9ibOBsbYbm6LpXQBr3WbrNFyOKkl3dBSy7k3inDtDuE1pY6fBNzc8wKvAH1dnFtVtUjpFYMKmUzbrha0y6YFLD+8HP6e/m0qAbfHrQr3ERGZgRV2rZG3Ddg6+9q/oIG2cy+uFgJrBmr3GXqx2H5vjO0WxGt+A2w5BKVRt5346+w3M12bftkJHNsI1Cvtdy3vAKDe2DwjmJ4EbMvv3a6F2oA1ai5w+xIgbxuyMxfg0SDLztdRFd7Mgsw2+2yxai8RuSJuD+CI8GJuWPhtL/DpNCC8H/CUnebjNJfjb7/nonnV0tyTzg8p5mhqAFYNMFwW7gy6INN3grYX5MyutsvVrZkovG0OkPsJkPwicNs8AMDO33Zg/oGFFp1Gt4P5G7e9gRCfEP3+SjnFOVh3Yl27r9NtbmluDw4RkT1xewB767B6rghAAHYt0A5PlP+ufTi0j/3aY7IgnggoL2qPs3ZoyhE8vLTzb76c2fyAk/J1e8NPLekmCnemFo5u2MhToX+om5/lS+x1lXlf2PcCNM1bN5ijdbDR9cgk90zmMBMRuTSGl86wJCzow0tv+7XH3IJ4tiycZ2/2mAtjT1mvA7kbLOuFadTWeYGnr/6hxIhERCoiUaK6bHFksyS4GFOiKsGzWc8iyDsIlfWV+sc5zERErobhpTMsCQv68BJnv/aYWxDPJoXzHKh1YTvd5Nozu4CfvjCzOq8D6XphblugnQtTU9rxhGBdePG6Vr9FLpNjQfQ4pJ/9TFsn2VjdFzvR9eC0DC4AN4ckItfD8NIZloQFR/S8mCyIJ1xbCeVujK3C6n2bttrwvje0PR6u5vvl7T/XcsWTsrkWT8U57VCkTA5o1Eg58g+saqrA8rAQXPZw/q+obpUTN4ckIlfBOi+dYU5xNUU40H0oUN5ccyXMjnNeDOqltG6TkUq9UqDbM8lYgT9XpuudWRELlJ7WPpa1TDvhOm+bfkgyRVWLnecvIUStBlxgTr0IkZtDEpHLYHjpjA7DQjNVGfD2TYC6HpB5AoE97Nsm3RyRwFaVdC2p1OuOWhb4+8OT1+ruuLrWS7V1O2f/slP/0E8+3qiQy9vUe3GmUlWps5tARMRho04zZ0Kpbm6MIsxwx2l7tqn15oeuUMPF3nRDS3GjDTevVIQDhT92PIzjMppXqZ34Uv9Iqdz1fm5hvmHObgIREeu8WM2cmiQePsBfL0k/RLiqvG1Gdt4OB266r+MaLs6iCAdUV5Dt44VHo11rknWIdwgm956M5F7JFi+hbq/SryMrALe8VphvGERRRHldebuf26o9ll7XVp9zqTu5E7cuUldVVYWxY8eisbERarUac+bMweOPP2726x0eXvL3A59MNn3cjK+APmPs3hxqhzmVcVtW+e0oyLS7E7iN/OFJ4NA6qCFiQs+Y9nebtkCUIhIT4yZhZ/5Og2q71mi5hNrUm/O+C/uw4/cdqKiv0L8+xDsEN4XfhBNlJ9o8Prn3ZNzW8zabvpkba4M5rG1PZ69rK1zqTu7CrcOLWq1GfX09FAoFVCoVEhISkJ2djbAw87qrHR5eTm4C/vOY6eN8Q4Apb0t37onUtAw7xpY7/++/wNfzru3ebUsP7wBqK4DtTyNTqEd6hHYej0GA0f3aGgs1oohgjQYrSspwVS5HN7UaiV5hkKeugPqGO/QhI8QnBPP3zbf6TTU1NhXHSo/ZLBSRbekqMHOpO7k6tw4vLZWXl2Pw4MHIyclBeLh5EzFdtucFACBIe/JsV6NR23i5dqttHH7/HvjHVGQqfNssmw5Wq3FVJmtTC0Zo/nVeVVKGFFWt4bmBNv//ZRZkIj0rHcC1Oi8kPQIERCoisevuXRxCIpdlyfu3xauN9u3bhylTpiAmJgaCIGDr1q1tjlm7di3i4uLg4+ODpKQk7N+/36JrXL16FYMGDUKPHj0wb948s4OLU5izbLqlXQu0b3rk/my6XNvIkvbrbgECY5CiqsM35y/ho6LLWFFSho+KLiOr8CJWl5QhQm34/1KkWm0kuADaCcEisONZ7TytZimxKVg1ZhUiFBFWtp9cGZe6k9RYvASmpqYGgwYNwiOPPIK77767zfNffPEF5s6di7Vr12LUqFH4v//7P0ycOBF5eXno1asXACApKQn19fVtXrt7927ExMQgODgYP/30Ey5fvoy77roL99xzDyIjjU9crK+vNziXUmnH3YiN0S2b1u/D0xE322OIzNNeJWBdhV1zVjwFxmiDS8teuRb/b8khYGhdy98ZASmqWiQ3ypArb0Kpbniorh4d/rtaVaadYD55tf5aKbEpBvsZXam7gpXZKzv73SAXxqXuJBVWDRsJgoAtW7Zg2rRp+seGDx+OxMRErFt3bdO3AQMGYNq0aVi2bJnF13jiiScwduxY3HvvvUafX7x4MZYsWdLmcYcNG+nkbQO2Pw3UXjV97N0fAgPvsXuTyIV0tOKp/6SOl7Qbe21gd23Y8QkC/tGZYcj2hzDVGjUm/GcCSlQlHEqSmI8mfIShUUOd3Qwio5y2q3RDQwNycnKwYMECg8fHjx+PgwcPmnWOy5cvw9fXF4GBgVAqldi3bx+eeOKJdo9fuHAh0tPT9V8rlUr07Nmzczdgjfip5r+RuNseQ2Q9a2rwdPRajdrE1hAd0O183qoNcpkcC4Yt0M+FIfenm/OSGJHo7KYQ2YRNw0tZWRnUanWbIZ7IyEgUFxebdY4LFy7gsccegyiKEEURTz31FG666aZ2j/f29oa3t7dV7baZ5jkKktxjiKxnbJ8ma19r0bBlSx0PYermwiw/spyriNycbrXR/GHzOVmXJMMuZV+FVss3RVFs81h7kpKScPz4cYuvmZGRgYyMDKjVTpwMa/BGIsAwwEh0jyFyPnOqPbengx3SW86F2Vu4F9t/246rDVetays5XIQignVeSHJsGl7Cw8Mhl8vb9LKUlJS0O+HWVtLS0pCWlqYfM3Oa9t5IjE3IJLKVlkNLv+wEjm0E6s2YvG5iCFMuk2No1FAMjRqK54Y8h/dPvo+M4xmdbmZHhemMPW4P5hads3VxOXsV32vv82f2PgNVkwpvjX0LN4bdaJN7IHIVNg0vXl5eSEpKwp49ezB9+nT943v27MGdd95py0u5tq66xxA5V8s9nlKWmN62QhEO9Bxu9unlMjlmD5qN64OvbzOcFOkbiXv63YNegb3MKlVvzlYBzi6X/4eYP+C5Ic/ZpD3OKNN/fcj1OFF6AheqLjC8kORYHF6qq6tx9uxZ/df5+fk4fvw4QkND0atXL6Snp2PGjBkYMmQIRowYgfXr16OwsBCzZ8+2acNbc4lho5asmd9AZC0PL+1yaP1cGCNzsFRlwNuDtEOdFvQItl5a3Zk3Zl2PjrmPO4urtccSsQGxOFF6AoXKQmc3hcjmLF4qnZWVheTk5DaPP/zww9iwYQMAbZG6lStXoqioCAkJCVi9ejVuvfVWmzTYFIdX2CVyZcaWWRswXnmX3N97P72HjOMZuLPPnXj1lled3RwikySzPUBnMLwQtWJy5/NW2xKQJOzK34UX9r2Am7vdjE8nfers5hCZZNftAYjIzZw/3PHcl5bLpkkyegVqK5oXVnHYiKRHMuElIyMD8fHxGDrUPcenieymg+XQBuyxQzY5TWxgLACgvK4cVQ1VTm4NkW1JJrykpaUhLy8P2dnZzm4KkWsxt6Lzf58Ddi3U7pTOzUPdnp+nH8J8wgCAk3ZJciQTXoioHebufF6vBA6tBT6ZDKxJ0E72Jbem630pUBY4uSVEtsXwQiR1usrPllAWaZdZM8C4tV4B2n3eCs5+zR41khTJhBfOeSHqgK7ysyLMzBc0L0LctcD4G55GrX0zPLmJb4quKm8bYk9sBgAU/vpf9qiRpHCpNFFXcuJLYPPjlr1mxldAnzHXvjZWOyYgGkh6BAjrw4rSriBvG/DlTOxS+OCFyG7o2dCIJVfKkVjXADnAuj7kkljnheGFyLj8/dp/gVvCNwSY8rb2za75TdH4ruktBMZYXLmXbESjBtYkILOpAq+GheKKx7UQGdnUhAVXriLFI4R1fcjlsM4LERln7uTdlmorgC9nAHuXaXtcTAUXgHNmnKngIDKbKpAeEY4rcsO/4kvkcqRHhCGzqZx1fcitMbwQdSWdmbyr8/3yDrYZaE3Ufux4VlvhlxxGXVWE5WEh2ogpGIZUsfnrFWEhULOuD7kxm+4q7UwutzEjkavSTd7tcM8jG1GVabcmmLzavJ3WNeprxyjCtW++NaXmfc65NgCAXHUVLnu0/1e7KAgo9vBArroKXN5A7koy4SUtLQ1paWn6MTMi6kD81Gth4pedQO6ngL2qsKrKtMNO3gFAfYtrKMKAm+4H+k7QBpAzu7QTijvcysCE1ud0dKhpL3w5sA2lgeYVJTT3OCJXJJnwQkQWksmBuNHaj36pwD/sPLm2vlU4Ul3RFsU7tNZ212jvnLpQ039S50OEqV4hU+HLWLCytHfJjM+7NVSYdTvd/BheyH1xtRER6VeoQFkEsybkurPOhAhb9Ao5iBrAhJ4xKJHL9XNcWhIARHqHYNc9mZB7eDm8fUTt4VJphhciy5m7DJpcXqbCF+kR4QBgGGBEEQKAVSVlSIHC+t4oIhviUmkispxuIm9AtOWv9fK3fXuo01JUtVhVUoaIVgsYPNAcXFS114bYWHmX3JBkwgu3ByCygfipwLM/A2P+atnr7v2HdoiFXEaKqhbfnL+Ej4ou46WyKwCAJkFAmVyObB9vGMSaFnV51Bo1souzsfP3ncguzoaaWz+QC+KwEREZl7cN+Hoe0GE9EEFb9G7uSeB//+Wwk4vKVPhiXkQ4GlsMIWmr7VZoe2EAAAIyw2OwPDIGl1WXrx2niMSCYQuQEpvi4FZTV8NhIyKynslemOY3wtTl2vkS1gw7kd3o5r80tnpcW203HLsVvsj28cbK0CA86y8zCC4AUKIqQXpWOjILMh3XaCIT2PNCRKYZ24wxsLs2uLTev0ijBva9AWS97tg2Uhu6lUeX5fI21XYBAKIIGQCNsedaECAgUhGJXXfvgpwTe8lOLHn/Zp0XIjKtZVG7jirkAtrHxswHIga0DTyKcKBHEnAhp4N6KOHATfdJdimzI+X6eHdYbReCAI0Z5xEholhVjNySXAyN4rxCcj6GFyIyj66onbk6Cjy2rkTb+zZg/Kttz+mMUNM6fDkxWJXKbdtLUqoqten5iDqLw0ZEJG26oPTLThtsP2CiV8geezZZ8Xl2UyUePbHGqm9fSx9N+Ig9L2Q3HDYiItJpuQ2Csd4ZR2z8aGmvlY0katSIPPsvlKhKIFqxCkwQRURqgMTwQTZsHVHnSSa8cFdpIjLJSSHCWeQyORYMW4D0rPROn0No7pyfX1YGecFBoM8YG7WOqPM4bEREJHGZBZlY+uNSVNSbt2ljSyFqNSZX1yBZVYtEQQH5lLfbrjAjsgHWeSEiIr2U2BTMGzrPvINFERBFeKu165Aq5HJ8GhSIR6MjMSHcF5k7/h+QtUI7j4fISRheiIi6gEi/SLOOC9Vo8EilEvWytrVfdIXtMo+s5n5I5FQML0REXUBiRCIiFZEQ0E5BOlFEiFqNXYUXsdPfz/ghzcXsVoSFQK28pN8PicjRGF6IiLoA3eRdAG0CjABAEAQsikrGqaAwbWG7dqruioKAYg8PHPXxBiACO54Fmhrs3HoiQwwvRERdREpsClaNWYUIRYTB45GKKKwasxopkzJQOiLNrHM9FxGOTIUv1KoyZL9zI3buf4W7UJPDcLUREVEXo9aokVuSi1JVKbopuiExIlG/Z1H2pUN4dM/jpk/S/NYRpNGgskUlX+5CTZ1lyfs3wwsREempNWpM+PxWlDRU6ue4tEv39tHiOEEUAUHAqtveRIroa3ovLKJmDC8ML0REnZZZkIn0rGchNgcRSwmiiEi1iF3nL0AfVwJjgNQVrBFD7WKdFyIi6jTt3JjVCPQO6tTrtZN6Zc2Tepspi7g6iWyG4YWIiNpIiU3Bm7e9adU5dJN6tZo7+XctYIE7sppkwktGRgbi4+MxdCh3PCUisoWhUUM7rg1jQqVMpi1q1zLAKC9qN8cksoJkwktaWhry8vKQnZ3t7KYQEUlCy9owndKyqF3Lx6svW9UuIsmEFyIisj1dbZgQ75BOvV5X1C635fwXf/O2KiBqD8MLERF1KCU2BZn3ZHY6wADAZbkcgAAEdtcumyayAsMLERGZ5OXhhUUjFkFo/s9SK8NCtHNfUpez3gtZjeGFiIjM0t72AjII1wrWteOqTIb0yHBk1pzjaiOyGovUERGRRVpvL1BRV4Hnv3/OZFE7QRQRoVbj1RoB5YMfQLe+qQZbE1DXxgq7DC9ERA6VWZCJpT8uRUV9hUWv415IpMMKu0RE5FApsSmYN3Sexa+7XFOMZ7OexXtZC6BuarBDy0iKGF6IiMgmIv06sQS6eZgpo+C/mPCPRGQeWGbjVpEUMbwQEZFNJEYkWlWR97IMSD/7GTJ3pnFSL3WI4YWIiGyiZUXeTsUXXUXeou+gXpPATRypXQwvRERkM9eWU3euiq6+Im/DFe5CTe1y2fCiUqkQGxuL559/3tlNISIiC6TEpmDn9J0I8fAzWf+lPdqKvOAu1GSUy4aX1157DcOHD3d2M4iIqBN+KvsJFU01HdZ96Yi2Iq8Pd6Emo1wyvPz666/43//+h0mTJjm7KURE1AmlqlKrXn9VJkN6RLh2S4GqIhu1iqTC4vCyb98+TJkyBTExMRAEAVu3bm1zzNq1axEXFwcfHx8kJSVh//79Fl3j+eefx7JlXC5HROSuuim6WfV6UTd5NywE6l0LOfeFDFgcXmpqajBo0CC8++67Rp//4osvMHfuXLz44os4duwYRo8ejYkTJ6KwsFB/TFJSEhISEtp8XLp0CV999RX69euHfv36df6uiIjIqcxZNi2YmA+jn7yrqebkXTJg1fYAgiBgy5YtmDZtmv6x4cOHIzExEevWrdM/NmDAAEybNs2s3pSFCxdi48aNkMvlqK6uRmNjI5577jksWrTI6PH19fWor6/Xf61UKtGzZ09uD0BE5GSZBZlIz0oHAIi49lajCzQP3vAAPvvfP02eZ0VJGSbV1AKBMcDck9yVWqKctj1AQ0MDcnJyMH78eIPHx48fj4MHzZtwtWzZMpw/fx7nzp3DG2+8gccff7zd4KI7PigoSP/Rs2dPq+6BiIhso71dqCMVkVg1ZhXGmbmfUTe1GoDIybuk52HLk5WVlUGtViMy0nB9f2RkJIqLi215Kb2FCxciPT1d/7Wu54WIiJwvJTYFyT2TDXah1u0krdaoEamIRImqxKBnRk8UEaLRYFCdtnddDSC36DBKxSqD81DXY9PwoiO0WhonimKbx8wxa9Ysk8d4e3vD29vb4nMTEZFjyGVyDI0aavTxBcMWID0rHQLQNr4IAirkckzqGYNJ1TXY6e+Hy79+AvyqfZo7UnddNh02Cg8Ph1wub9PLUlJS0qY3xtYyMjIQHx+PoUPb/oIQEZFrMqci72W5HB8HBV4rXNesRFWC9Kx0ZBZk2ruZ5GJsGl68vLyQlJSEPXv2GDy+Z88ejBw50paXaiMtLQ15eXnIzs6263WIiMi2TFbkFYRrHy2Izf8t/XEpGpoaHNRacgUWDxtVV1fj7Nmz+q/z8/Nx/PhxhIaGolevXkhPT8eMGTMwZMgQjBgxAuvXr0dhYSFmz55t04YTEZF0WFORt6K+AimbUrBoxCKD+TVhvmEQRRHldeXtfs65M+7J4vBy9OhRJCcn67/WTZZ9+OGHsWHDBtx///24cuUKli5diqKiIiQkJGDnzp2IjY21XauNyMjIQEZGBtRq7oFBRORurK3IW1FfgWeznoWfpx9qGmsseq2puTNqjdrohGNyHqvqvLgiS9aJExGRa8guzsaj3zzq1DakDUrD4zc9bhBMMgsysfzIclxWXdY/FuIdgsm9JyO5VzKDjA1Z8v7N8EJERE6n1qgx4T8T2l827SC6YHJbz9uQU5yDdSfWdXi8rtfG0uEqDl21xfDC8EJE5HZ0FXmdGV46qzPDVS21DE1dNex0yfDScs7LmTNnGF6IiNxQZkEmlh1ehpLaEmc3xaUZCzvuHmq6ZHjRYc8LEZF7U2vUeP/b55Bxsbl+S8sVSLq3rE6sSuoK3Hk+DsMLwwsRkdvLPLAMy898hsvya0ElWK3GVVlziTIGmA5F+Ebg3n73oldgL4vn4Thjrg7DC8MLEZEkqH/bi9x/349SuRzd1Gok1tVjr8IXy8JCUOJhlx1uyAK23KLBabtKOxO3ByAikh656gqG1tVjUo0KQ+vqIQeQoqrF7vOXkFZxVTuMJK1/g7sVZ23RwJ4XIiJyXfn7gU8mt/t0psIXy8NCcLlFL0yIWo3J1TW4TVULEUC5XI4wtRri7a+gPKQnwnzDzFoGTeYRICBSEYldd++yagjJkvdv9rkREZHrih0JBMYAyiIY2XcaKapaJKtqkevjbTC0ZPQtNHMZMOVtoPdwDI8ejn6h/doUoDNF4aGAqknV6duRIhEiilXFyC3JNbp7uD1IZtiIiIgkSCYHUld0eIgcaDO0ZFRtBfDlTCBvGwDthpDf3P0NPprwEWYMmIEQ75B2rxGliMLqMatx8IGDSLs5rXP3InHWbvFgCQ4bERGR68vbBuyYC6iuWHkiQduTM/ekNhi10HIPI1OrajraNsCcQnO6z/dd2Icdv+9ARX2FlfflfB9N+MiqnpcuudqIReqIiCTuxJfA5sdtc64ZXwF9xlh1Cltt2NheaHKXsOOMOS+SCS867HkhIpIoE5N3LeLlDyTOBPpP0s6rcaNibsbCjrNCjQBtrZ1VY1ZZvVya4YXhhYhIejRqYE1Cu5N3AQHwDQVqLRxaUoQBN93vlkGmpZahprCqEJvObLJoMnJnRCmiMH/YfIfXeWF4ISIi95G3TTvpFoBhgGmutnvPBmD3wg4CjgmBMdoJwvFTrWunC7BkOIoVdp2M4YWISOLytgG75gPKS9ceC+wOpC7Xhg59wOnM21tzCLrvH5IIMO6E4YXhhYhI2jRqoOAgUH0Z8I9sO9yTtw3Y/jRQe7Vz51eEA+mnAQ8vmzSXTOP2AEREJG0yORA3Ghh4j/bP1kMX8VOBe//R+fOryoBVA/Q1Yci1sOeFiIikyeQEX3MIHEJyEG4PQEREpKvOq5/g2xkisH0u4BWgXcXUcoiq5dCVIhwQBKCm1PgwFtkUe16IiEjajE3wtYYiDOgxBLiQox1eau8YRyy/7ihA9RwOnD/c/rygjs7lhADGCbsML0RE1JLujfmXndpKve2FDnuw9fJrc+9FkAGi5trXukDVd8K1kKMLPGd2tT1XR8fboYeJ4YXhhYiI2tPyzf/YRqBeaecLGll+bU4vh7FeFWMhw5lsGMwYXhheiIjIHE0N2lVFjggDvmHA3R8CZ3eb7uVwtZDSLtvVxWF4YXghIiJzWVXUjjraqdsSrPNCRERkrvip2p4DRZizW+KmREB5UTvE5SDseSEiIgIcO4QkRXd/qC0a2EldsueFiIjIKh5ewOTV0M7jEJzdGvfjH+mwSzG8EBER6eiGkAKjnd0SNyJoN8aMHemwK7LCLhERUUvxU4Eb7jBvmbIiHLjpPsNVQg5Zfm2G1nVe7HMR7R+pyx1a0I5zXoiIiMxlTn0WR8+daR2gWlfYtaQwnyIc6JHUcfXglgK7a4ML67xYh+GFiIicTr/8GrDLEmxdYDF3+4H2thFor2KupcfbAMMLwwsRETmbqT2VzOnlaK9XRYIbP3JXaSIiImdrb+6Mub0cEg0ptsDwQkREZC8yORA32vpjyACXShMREZFbkUx44fYAREREXQMn7BIREZHTcXsAIiIikiyGFyIiInIrDC9ERETkVhheiIiIyK0wvBAREZFbYXghIiIityK5Cru6ld9KpQtsR05ERERm0b1vm1PBRXLhpaqqCgDQs2dPJ7eEiIiILFVVVYWgoKAOj5FckTqNRoNLly4hICAAgiDY9NxKpRI9e/bE+fPnu0QBvK52v0DXu+eudr9A17vnrna/QNe7Z6ncryiKqKqqQkxMDGSyjme1SK7nRSaToUePHna9RmBgoFv/D2Kprna/QNe75652v0DXu+eudr9A17tnKdyvqR4XHU7YJSIiIrfC8EJERERuheHFAt7e3nj55Zfh7e3t7KY4RFe7X6Dr3XNXu1+g691zV7tfoOvdc1e7X0CCE3aJiIhI2tjzQkRERG6F4YWIiIjcCsMLERERuRWGFyIiInIrDC9mWrt2LeLi4uDj44OkpCTs37/f2U2yiWXLlmHo0KEICAhAREQEpk2bhl9++cXgGFEUsXjxYsTExMDX1xdjxozBzz//7KQW296yZcsgCALmzp2rf0xq93zx4kX86U9/QlhYGBQKBW6++Wbk5OTon5fa/TY1NeGll15CXFwcfH190bt3byxduhQajUZ/jLvf8759+zBlyhTExMRAEARs3brV4Hlz7q++vh5PP/00wsPD4efnh6lTp+LChQsOvAvzdXS/jY2NmD9/PgYOHAg/Pz/ExMRg5syZuHTpksE53Ol+AdM/45b+8pe/QBAErFmzxuBxd7tnczG8mOGLL77A3Llz8eKLL+LYsWMYPXo0Jk6ciMLCQmc3zWrff/890tLScOjQIezZswdNTU0YP348ampq9MesXLkSq1atwrvvvovs7GxERUXh9ttv1+8j5c6ys7Oxfv163HTTTQaPS+meKyoqMGrUKHh6euLrr79GXl4e3nzzTQQHB+uPkdL9AsCKFSvw3nvv4d1338Xp06excuVK/P3vf8c777yjP8bd77mmpgaDBg3Cu+++a/R5c+5v7ty52LJlCz7//HMcOHAA1dXVmDx5MtRqtaNuw2wd3a9KpUJubi7+9re/ITc3F5s3b8aZM2cwdepUg+Pc6X4B0z9jna1bt+Lw4cOIiYlp85y73bPZRDJp2LBh4uzZsw0eu+GGG8QFCxY4qUX2U1JSIgIQv//+e1EURVGj0YhRUVHi8uXL9cfU1dWJQUFB4nvvveesZtpEVVWV2LdvX3HPnj3ibbfdJj7zzDOiKErvnufPny/ecsst7T4vtfsVRVG84447xEcffdTgsbvuukv805/+JIqi9O4ZgLhlyxb91+bc39WrV0VPT0/x888/1x9z8eJFUSaTibt27XJY2zuj9f0ac+TIERGAWFBQIIqie9+vKLZ/zxcuXBC7d+8unjp1SoyNjRVXr16tf87d77kj7HkxoaGhATk5ORg/frzB4+PHj8fBgwed1Cr7qaysBACEhoYCAPLz81FcXGxw/97e3rjtttvc/v7T0tJwxx13ICUlxeBxqd3ztm3bMGTIENx7772IiIjA4MGD8f777+ufl9r9AsAtt9yCb7/9FmfOnAEA/PTTTzhw4AAmTZoEQJr33JI595eTk4PGxkaDY2JiYpCQkCCJ70FlZSUEQdD3MErxfjUaDWbMmIEXXngBN954Y5vnpXjPOpLbmNHWysrKoFarERkZafB4ZGQkiouLndQq+xBFEenp6bjllluQkJAAAPp7NHb/BQUFDm+jrXz++efIzc1FdnZ2m+ekds+///471q1bh/T0dPz1r3/FkSNHMGfOHHh7e2PmzJmSu18AmD9/PiorK3HDDTdALpdDrVbjtddewwMPPABAej/j1sy5v+LiYnh5eSEkJKTNMe7+d1tdXR0WLFiABx98UL9RoRTvd8WKFfDw8MCcOXOMPi/Fe9ZheDGTIAgGX4ui2OYxd/fUU0/hxIkTOHDgQJvnpHT/58+fxzPPPIPdu3fDx8en3eOkcs8ajQZDhgzB66+/DgAYPHgwfv75Z6xbtw4zZ87UHyeV+wW089Q2btyIf/7zn7jxxhtx/PhxzJ07FzExMXj44Yf1x0npno3pzP25+/egsbERf/zjH6HRaLB27VqTx7vr/ebk5OCtt95Cbm6uxe1313tuicNGJoSHh0Mul7dJqSUlJW3+VePOnn76aWzbtg179+5Fjx499I9HRUUBgKTuPycnByUlJUhKSoKHhwc8PDzw/fff4+2334aHh4f+vqRyz9HR0YiPjzd4bMCAAfoJ51L8Gb/wwgtYsGAB/vjHP2LgwIGYMWMGnn32WSxbtgyANO+5JXPuLyoqCg0NDaioqGj3GHfT2NiI++67D/n5+dizZ4++1wWQ3v3u378fJSUl6NWrl/7vsYKCAjz33HO47rrrAEjvnltieDHBy8sLSUlJ2LNnj8Hje/bswciRI53UKtsRRRFPPfUUNm/ejO+++w5xcXEGz8fFxSEqKsrg/hsaGvD999+77f2PGzcOJ0+exPHjx/UfQ4YMwUMPPYTjx4+jd+/ekrrnUaNGtVn+fubMGcTGxgKQ5s9YpVJBJjP8600ul+uXSkvxnlsy5/6SkpLg6elpcExRURFOnTrllt8DXXD59ddfkZmZibCwMIPnpXa/M2bMwIkTJwz+HouJicELL7yAb775BoD07tmAkyYKu5XPP/9c9PT0FD/88EMxLy9PnDt3rujn5yeeO3fO2U2z2hNPPCEGBQWJWVlZYlFRkf5DpVLpj1m+fLkYFBQkbt68WTx58qT4wAMPiNHR0aJSqXRiy22r5WojUZTWPR85ckT08PAQX3vtNfHXX38VP/vsM1GhUIgbN27UHyOl+xVFUXz44YfF7t27izt27BDz8/PFzZs3i+Hh4eK8efP0x7j7PVdVVYnHjh0Tjx07JgIQV61aJR47dky/usac+5s9e7bYo0cPMTMzU8zNzRXHjh0rDho0SGxqanLWbbWro/ttbGwUp06dKvbo0UM8fvy4wd9l9fX1+nO40/2KoumfcWutVxuJovvds7kYXsyUkZEhxsbGil5eXmJiYqJ+KbG7A2D04+OPP9Yfo9FoxJdfflmMiooSvb29xVtvvVU8efKk8xptB63Di9Tuefv27WJCQoLo7e0t3nDDDeL69esNnpfa/SqVSvGZZ54Re/XqJfr4+Ii9e/cWX3zxRYM3Mne/57179xr93X344YdFUTTv/mpra8WnnnpKDA0NFX19fcXJkyeLhYWFTrgb0zq63/z8/Hb/Ltu7d6/+HO50v6Jo+mfcmrHw4m73bC5BFEXRET08RERERLbAOS9ERETkVhheiIiIyK0wvBAREZFbYXghIiIit8LwQkRERG6F4YWIiIjcCsMLERERuRWGFyIiInIrDC9ERETkVhheiMjpZs2ahWnTpjm7GUTkJhheiIiIyK0wvBCRw2zatAkDBw6Er68vwsLCkJKSghdeeAGffPIJvvrqKwiCAEEQkJWVBQC4ePEi7r//foSEhCAsLAx33nknzp07pz+frsdmyZIliIiIQGBgIP7yl7+goaGhw2vW1NQ4+M6JyJY8nN0AIuoaioqK8MADD2DlypWYPn06qqqqsH//fsycOROFhYVQKpX4+OOPAQChoaFQqVRITk7G6NGjsW/fPnh4eODVV19FamoqTpw4AS8vLwDAt99+Cx8fH+zduxfnzp3DI488gvDwcLz22mvtXpP70RK5N4YXInKIoqIiNDU14a677kJsbCwAYODAgQAAX19f1NfXIyoqSn/8xo0bIZPJ8MEHH0AQBADAxx9/jODgYGRlZWH8+PEAAC8vL3z00UdQKBS48cYbsXTpUrzwwgt45ZVXOrwmEbkvDhsRkUMMGjQI48aNw8CBA3Hvvffi/fffR0VFRbvH5+Tk4OzZswgICIC/vz/8/f0RGhqKuro6/PbbbwbnVSgU+q9HjBiB6upqnD9/3uJrEpF7YHghIoeQy+XYs2cPvv76a8THx+Odd95B//79kZ+fb/R4jUaDpKQkHD9+3ODjzJkzePDBB01eTxAEi69JRO6B4YWIHEYQBIwaNQpLlizBsWPH4OXlhS1btsDLywtqtdrg2MTERPz666+IiIjA9ddfb/ARFBSkP+6nn35CbW2t/utDhw7B398fPXr06PCaROS+GF6IyCEOHz6M119/HUePHkVhYSE2b96M0tJSDBgwANdddx1OnDiBX375BWVlZWhsbMRDDz2E8PBw3Hnnndi/fz/y8/Px/fff45lnnsGFCxf0521oaMBjjz2GvLw8fP3113j55Zfx1FNPQSaTdXhNInJfnLBLRA4RGBiIffv2Yc2aNVAqlYiNjcWbb76JiRMnYsiQIcjKysKQIUNQXV2NvXv3YsyYMdi3bx/mz5+Pu+66C1VVVejevTvGjRuHwMBA/XnHjRuHvn374tZbb0V9fT3++Mc/YvHixSavSUTuSxC5ZpCI3NSsWbNw9epVbN261dlNISIH4rARERERuRWGFyIiInIrHDYiIiIit8KeFyIiInIrDC9ERETkVhheiIiIyK0wvBAREZFbYXghIiIit8LwQkRERG6F4YWIiIjcCsMLERERuZX/D1AtvbDneuTvAAAAAElFTkSuQmCC\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "plt.plot(pde_losses, marker='o')\n", - "plt.plot(bc_losses, marker='o')\n", - "plt.plot(l2_losses, marker='o')\n", - "plt.yscale('log')\n", - "plt.xlabel('steps')\n", - "plt.legend(['PDE loss', 'BC loss', 'L2 squared'])" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "bce40477", - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.7" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/tutorials/.ipynb_checkpoints/Example_8_continual_learning-checkpoint.ipynb b/tutorials/.ipynb_checkpoints/Example_8_continual_learning-checkpoint.ipynb deleted file mode 100644 index 406cdc4e..00000000 --- a/tutorials/.ipynb_checkpoints/Example_8_continual_learning-checkpoint.ipynb +++ /dev/null @@ -1,232 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "134e7f9d", - "metadata": {}, - "source": [ - "# Example 8: Continual Learning" - ] - }, - { - "cell_type": "markdown", - "id": "2571d531", - "metadata": {}, - "source": [ - "Setup: Our goal is to learn a 1D function from samples. The 1D function has 5 Gaussian peaks. Instead of presenting all samples to NN all at once, we have five phases of learning. In each phase only samples around one peak is presented to KAN. We find that KANs can do continual learning thanks to locality of splines." - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "id": "2075ef56", - "metadata": { - "scrolled": false - }, - "outputs": [ - { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 1, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "from kan import *\n", - "import numpy as np\n", - "import torch\n", - "import matplotlib.pyplot as plt\n", - "\n", - "\n", - "datasets = []\n", - "\n", - "n_peak = 5\n", - "n_num_per_peak = 100\n", - "n_sample = n_peak * n_num_per_peak\n", - "\n", - "x_grid = torch.linspace(-1,1,steps=n_sample)\n", - "\n", - "x_centers = 2/n_peak * (np.arange(n_peak) - n_peak/2+0.5)\n", - "\n", - "x_sample = torch.stack([torch.linspace(-1/n_peak,1/n_peak,steps=n_num_per_peak)+center for center in x_centers]).reshape(-1,)\n", - "\n", - "\n", - "y = 0.\n", - "for center in x_centers:\n", - " y += torch.exp(-(x_grid-center)**2*300)\n", - " \n", - "y_sample = 0.\n", - "for center in x_centers:\n", - " y_sample += torch.exp(-(x_sample-center)**2*300)\n", - " \n", - "\n", - "plt.plot(x_grid.detach().numpy(), y.detach().numpy())\n", - "plt.scatter(x_sample.detach().numpy(), y_sample.detach().numpy())" - ] - }, - { - "cell_type": "markdown", - "id": "19477c89", - "metadata": {}, - "source": [ - "Sequentially prensenting different peaks to KAN" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "id": "831a9456", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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bLYHENMdee+017dixQ5K0bdu2cbvyvfnmm4UfifNxN79yiq+Pne/JdgmVTn7j45zzcrdQq3M+2e7mkgrvge9zXvwtieR3IXj11VcLuSX44cnA4OAguSUC4V38S+UWyd9dzq1u8JQ6y1Yg2FPF99xibZ2/+uqrE37UNkBuiQY1NH7hM5uxrRiPvXv3NuV2i8/rnBoaPz6Hxi/cbynOLb73WwKJaY4tWrRIvb29kqSLL7543K58Z5999rjdi33bzc9qIZhq3OHrfQxu63NefFiF5P+uuFbnfKrcUnzoArmlPqYaN+s8GtPllmDD0+exW5tzckv8qKHxC4+7eM6D6yW2FeuJz0Txo4bGj8+h8bOcWwKJaI5ls1ldccUV2rNnj1asWKEtW7aUPG5aUqGr7xOrAVJuUrI2dp879pMdox6wOue+jjubzeqzn/0suSVmljd4porRZphza2P3ddzZbFaf+9zntGfPHp133nlNlVuoodGwuM4lckvcrOcWamj8LK5zqXnn3Ncaar3fEkhEc2zfvn3atm2bJGn37t0aHByc8Pdf/vKXkqTt27d7tZtfLpebdBf/4Dpfdwu1mpSCXfyLz8oS8PnQCqtzHj4EbqriG94t3QfWc8tU69xybvH1t16mOmQrfJ1v61yy2zSwWkPDuWXXrl1NlVuoofVntYZKtnOLxRpqObdQQ+NntYZKdvO51Rpq+TNRWCKaY8VnqizejW/ZsmXq7++XdOJMCkuWLIl9jJOZbnfz4G+Sfx1kq4UgvOtzKT4fWmG1EITnvKVlYlrydZfz4rOyWMotU/14c8DHOZeaY52Xyue+rnPJbkPSag2d7rBJn3MLNTR+VmuoVH5u8Sk+Jbs11PJ2CzU0flZrqMTn0LiV02/p6+uT5F9uCUtEc0ya+qwI6XRamzZtUm9vr3bt2qVPf/rT3iy26ZJp+G++jDlgfYNnsmQq2Z1zq+OW/N1wmC63bN682WxusRqjlte51bFbHXf4b76NfSo+5xZqaPws19AkzLlvNZTPRPFr5nVudey+xqflGmo1t4Qlojn2q1/9atIzVQbeeecd7dmzR5L00ksvebOrn9WkNNXZhwK+7hZqdc6nO6wifH14N2kfWJ3zqc7KEiC31Fc5ucXXQyvK2eDx8QNsOEeTW+Ix1VlwA2+//Ta5pY6oofGb7jC54HofD9uyOufl5BZft1uoofGzus75HBq/8Gcia/2WsEQ0xxYvXqwLL7xQkrRq1aqSZ0fw9QwKVr+ZKmc3XF93C7U+55MdViFJLS0tXu5yXsm3JD7N+ZIlS6bNLb6eVc5q8S03twTr3Kf1Usmc+zTuYCxT5RZfD2exms/LyS1st9QXNTR+0x0mF7Cez31aK82eW3xc59TQ+PE5NH7l5JZzzjnHy9wSlojmWHjBT7W7XxA8U90mbuX8poHVwA7/3drYrY47/HdrY/dx3OGiVE5u4dvA2pW7zn389rjZ59zHsVuvoRK5JS6W17nVOS8nPiXyeT2RW+JnObdYr6EW59z6Opfs9VvCEtEce+2117Rz505J0tatW0vuwhc+g8JkuwLGLby7+VTfBgbfuPm0W6jVpFTOLv7hv/l02JbVOS9nd/Pw38K7SjdapbnFl7OzsM7jZ3mdW51zyzWU3BI/q+u8GXLLVPEp+Tfnlte51dzSDOvcWm6xXEObYc6bPbf40m8plojm2IIFC9Tb2ytJuvjiiyc99Mm3MyiUu7u5j7viVrp3hy+7hVqe83K/gfWtEATjaGlpmXR38+K/+zL2cnOLb2d+qmSd+3aIgtUNnmD+LK5zq3NuOZ8nIbf4NufU0PglIbf4VkOtfiaihsbPcj7nc2j85s+fbzK3FGv65lg2m9Vv/uZvas+ePTr//PO1ZcuWkoGSTqe1ceNGr86gUG5gS/4Gt9VCUM6c+zp2a9/AlvNbKQGfxp7NZnXNNdeUlVt8O6tcM6xzq7nF2jqXyo9R38ZttYZWklt8O/NTM+QWa+vcag2V7H+AtbbOmyG3WFzn1ND4Wd9WbObc4lu/pVjTN8d+9atfFXbfGxgY0ODg4KS39e0MClYDJHzGp3ILgS+7hVrdyCx3d3Np/G93+LDLudV1Xklu8e2sclbXeTW5xZdDK6rZyPRhzivJLeG1Ym3OfVrnr732mtntFqu5hRoav0rm3Lezylld55ZzCzU0flZzC59D41fJZ6J3333Xq9xSrOmbY+WcOSFw7rnnFs6gsHLlyoafQcFqUip3l1DJv91Crc/5dLubF9/Gp7Fbm/NKcotvZ36yOueV5JZmWOc+fANbSW4Jvy8+fIC1us7JLfGjhsavkjn37axyVue8ktzi21nlqKHxs7rO+RwaP8u5pVjTN8fCC6acLrxPZ2eppHvs0+6slQR2+HbWxu7jnJezViS/Emq5v/Mi+TXn5Z6pMuBTbrG+kVlubvFxvVj7NjApc+7TuC1vt1BD42e9hpY75z6N3XoNlSrLLT7sxUQNjZ/1Gsrn0PhYzi3Fmr459uqrr0575oSAT2dQqGQ3XMmvXc6rLQSNLmKVzrlPh21VsnEcvp1Pc17JBk+j17hU3llZAj6d+anSdR68Lz7scl7tBo9P67zSbwN9yS3WmgaWa2hScgs1tHaWa2hS8rlPNbTa3GLtMxE1tHaWayifQ+Nntd9SStM3x8o5K0sgfAaF888/v6FnUCj3rCwBn3Y5t1oIgnG3traWNec+HVph9ZupSnY3l8afLrrRc17OWVkCPp1VrtJ17tMu51ZzSzXr3Gpu8WXOLdfQSnOLL2d+oobGz3INtdqQtFxDreYWamj8LNdQq9uKlmtotf2WRueWUpq6OZbNlnemykA6ndbPf/5z9fb2amBgoKFnUKh0F3/Jn+C2WggqHXf4to0eu/VCYG2dZ7PlnZUlkE77c+Yny+vcam6xus4lu7nFag0ltzSG1XVuObdYPZTV6jqvJrf4clY5y+vcam6xWkPDz29tW9Fybqm03+JLbimlqZtjlZyVJeDL2Vkq/UZN8uObzEp3CQ3frtG7hVpNSuGzslRTCBo559Wscx/m3HJusbrOa8ktjV7nVue81tzSSFZraCVnfAqQW2pDDY1fLXMevm8jWF3n5Jb4UUPjx+fQ+Fn+TFRKUzfHKjlzQmD58uVenLHSase+0l2fg9sGu5w3MqFaTUrBc5e7G25wWx/OiFPNOveh+FaTW3w5q1w169yHOa8mt/iyzq1+611Nbkmn014ctmW1hlaTW3w58xM1NH5Wa2g1c+7LYVtWa2g1ueXcc8/14jMRNTR+Vmson0PjZzm3lNLUzbFKzyYX8OHMT1YLQTXjluyOPRh3I5NptXPuw8ZaNWP3adwSuSUuteYWH9aL1XWelNzi0zqXqsstPuzFRA2NT9Jyi08xmpTcErC23WJ5nVsdu0/rPGm5xYe1Itn7TFRKUzfHdu/eXfaZEwLFZ1DYu3dvpGMsJXxGm2q6x43c5dxqUgrPWTXFt5GHVlSz63P49o2c82rWuQ9zXmtu2b59e8NySzXr3IddzmvdyGzUOs/lcjXl80au82q+xZQav2FvuYbu2rXL7HYLNTRelmuo5dxitYZWm1t27NghqXG5hRoaP8s1lM+h8bO63TKZpm2OZbNZfe1rXytcLnc3v/AZFCTppptuij1QwhtqQVe1HD7scm41KVU75+FdpRtVxKrZ9Tl8+9HR0bqPqRzVznmjd39OYm7x4Yw4tTbHGrXOwxvH1nKL1W+9rdbQWnLLJz7xicJlS7nFh3VODY1f0rYVG11DLecWamj8rNZQKXm5pdHrPJvN6pZbbilctpRbJtO0zbFwR1KSHnnkkbK63+l0Wg8//HDhcrkd0Hqq9lvM8H0aHdxWNzIrHXf4Po0uYpaLb6UaOfZmyC21rHNrMerLOie3xMdqDU16bmn0eknSOrc6dqvbuOH7NKKGklvILZWwWkMlPofGzXJumUzTNscWLVqkzs5OSVJ3d3dFP/S2fPlydXV1SZK6urq0ZMmSSMY4mSAw29vbK75vI489DnbpDH9zUK4gsBu1K67VpNQMc17NOm/knC9cuLCm3BLctxG5pZZ1HrxPrPPKJHHOg28+GzXnVmtoLdstvb29ZnMLNbQ6Vmvo2NhYYc6r3buj0XNuLZ8nNbdQQ6tjtYY2Qz63VkMt55bJNG1zbM+ePRoZGZEkHTt2rKzTigb279+v48ePS5KOHz/esG9JqklKwX0a0fkOnrOawA5vJFkbeyOLb73mvJFjr2XDvhFrZe/evTXlluC+jcgttawXq/EZ3kiyFqNW47PRc261hta63WI1t1BDq2O1htYSn77MubUamtTc4sNaoYbGh8+h8a8Vy7llMk3ZHMtms/qDP/iDwuVyj38NLFu2TBdddFHhcpzHweZyuap+kC8QBEg2m4397A+1FILw/eIO7vCc1/oNrLU5b1QhqHWdN+oHKOuRWxp1jH2t6zycW+L+0c9a13lHR8e4x4lLM+SWauIzfD9ruaVRNTTJucWHdU4NjU+tuaVRH76t1lByCzW0ElZrqMTn0LjXueV+y1SasjlW7fGvgXQ6rR/96EeFy3EeBxtOppX8IF+gpaWlYd82WN3IrHXOW1tbC3PeqLHX2jTIZDJ1G1M56jHnwQ8Kxzn2euSWhx56qHDZWm4J5tzaOg/uZ3Gdk1sqY7WG1iO3/N3f/V3hsqXcwjqvnNUaKtUvn1vbVmxUDU3ydgu5pXJWa6jE59DwY8XBcr9lKk3ZHDvjjDPGHcNaSRcz0KjjYIMkWG1gh+8bZ0LN5/OFbm899u6Is/NdazIN3zfOpFSPOQ9/SxLnN5n1mPNG7A1kObfUc86t5RbL67wRuSWXy9V1zuPM51Zr6Mc+9rGac8uKFSvM5hZqaGWs1tB65pbR0VGzc24tt1jebqGGVsZqDeVzaPzr3HJumUpTNsd279497hjWSo5/Dbz99tsNOQ42SCRBgFajEcU3eK62trbCKWUr1ajOd/A+1zLnjSgEwbhrnfNGfHtcjzlvxDq3nFusznnS13kjcovlfG61hiY9t1BDK2M1n9crtzDn5du1axe5RTbXOTW0fJbn3Oo6t5xbptJ0zbFsNquvfOUrhcuVHv8aKD7G/sYbb4z8ONhsNqtcLqdUKlWXpDQ2NhbbGTeChR10f6sVd0Kt15wHrzvOOQ/mqNY5D+4fvIdRq9ech79Vi2POyS3jc0tc36olfZ1bzi3B67Y253HX0Gw2q5tvvrlwOYm5xfI6t5pb4q6hUn0+eEt25zzuGsp2i+3cQg0tH59D413nlnPLdJquObZnzx7t2LGjcPmhhx6q+HSu0onjYB988MHC5Zdffll79+6tyxgnE5whs729vapjjgMtLS2FjZ44Eqpzri5db+lkcAdzEbVg3Bbn3OpGZr3mvLW1NdY5t5xboljnccRoFLnF2jpvhnwe15xbraHkFmpoJazW0HBuqVdDMq4PsFZrKLmFGloJqzWUz6Fst9RT0zXHPvroo3GXq3mjAl1dXeMuR93JDAKx+HmrEWdwj4yMyDk3bkOrWu3t7WppaVE+n49lo+fYsWOSbM55Pp9P/JwHjxHHnFvOLVbnnNxyAvm8PFZrKLnlBGpoecjnJ+c8l8sx51Mgt5xADS2P1Rpqec6trnPLuWU6TdUcy2az+upXv1q4vHLlSi1fvrzqx+vt7R13itGbb745sjdsdHRU2WxWqVSqLgHS3d2tVCql0dHRyM8WEgR2d3d3zY8Vfv3FgVdvzPkJluc8KARRzzm55aS45lxinQeCx2DOJ2c1n5NbTqKGTq8Z8nk9xs2cT4/cchI1dHrk8xOY8+lZzi3laKrm2MsvvzxuF78f/ehHNXUyi08xWvz49XTkyBFJJxJ4LbtVBlpaWgoFOHjsKIyOjhY66/VISpJ0yimnSDrxTUCUwR3lnB89erTmx5sMc35Sa2troaBEOefklpPimnPW+UnM+fSs1lByy0nU0OlZzy2pVKowV7VizqdGbjmJGjo9qzWUOT8prhpqObeUI5bm2AMPPKCzzjpLnZ2dWrlypZ599tm6P8ehQ4d02WWXjbuuljcqUPy7CJdeemndF9zx48cLgT1z5sy6PW7wWCMjI5HsGuqc09DQkKQTCSk4e1Ct0ul0oYgFj19vwZynUqm6zvmMGTPGPX69hef8lFNOqcucP/DAAzr33HO1bNkyrV27Vk8//XTNj1mK1TmPK7esXr06stwS5ZxH8dsGUaxzyW5ueeCBB9Tf369ly5bp8ssv13//93/X5XHDopzzYK1HPeeSrRraDNst1vI5NXSiOOe8q6srsnzunKvL44ZZraHklpOCz6ALFy7U2rVrtWnTJjO5RaKGToXPoRM1y2eiKHJLuSJvjv3Lv/yLvvGNb+ib3/ymtm3bpk9/+tO6+uqrqzrdZynZbFYvvPCC5s6dO+7sDOeee25Nu/gFli9fPu7sC2NjYzrnnHO0bdu2uuzyl8lkdPjwYUknkki9Als6sViD7vehQ4fqelpa55wOHTqksbExtbS0aNasWXV7bEmaNWtWYdfQQ4cO1XWjJzznM2bMqOuct7W1xTbnQQKsRTg+X3rpJa1evVrXX3+9du7cmfg5jzu3ZLPZyHJLlHN++PDhSNd5PTcaJHu5JRyjW7Zs0SWXXKLf/u3f1muvvVbzYweiyC1hPT09scy5lRraTNstVvK5RA2dTJxzHuW24uHDh03OeT1rKLllvOLPoJ/85Cf1+7//+9q5c6f3uSWMGjoRn0NLa5bPRPXOLZVIuSi+aglZvXq1+vv79f3vf79w3XnnnacvfvGL2rBhw5T3HR4eVk9Pj/7hH/5BHR0dyuVyOnDggObPn6/W1laNjY3pz//8z/XGG2+Mu19bW5s+/PDDuiWnbdu2qb+/f8L1S5cu1V/+5V8qlUrp17/+tRYsWKCWlhP9xtbWVp199tk677zzCos+mGrnnLLZrEZGRsadXeP000+vy3jDnHM6ePBgITi6urrU0dGh1tbWwrhK7cpZvCyCy7lcTmNjYzp27FghOE4//fSazw5SysjIiD788ENJJ+azu7tbbW1tamlpUUtLy7S7oDrnvJrzdDpdWB+TjT0875PNeSqV0mmnnVaXOS+Oz5GREV144YVau3at/uzP/qww562trYUxh8f+1ltv6cwzz9SHH35YaGIE487n88pms8pkMg2d81QqVZj3QDab1cDAgPbt26dcLud1bjlw4IAWLlw4IbesWLFi3Lc1zjnl83nlcrmGr/NSc17q/sF/g7E3OrdMts6Lxxz+/6jnPByjwZyvWbNGa9eu1be//e0pc0up+AyPPZvNKpvNRpJbitWSz8NrJfhvo/P5ZDXUUm6ZarslnU5TQ8uQ1Bpa6v7h/+ZyOY2Ojur48eMNyy2V5PPgss81dKrc0tLSomw2601uKWe7JY4aWhyfzjn19vbqqquu0t133z1tbqGG1o7Pof7M+WTr3NJ2S3FuyWQyuummmzQ0NFS3BmmkzbHR0VF1d3frxz/+sb70pS8Vrr/99tu1fft2bd68edztM5nMuF0Ah4eHtXjx4oqf94UXXtAll1xS/cCLZLNZXXTRRRoYGKj4vhdeeKH+8z//c8pdDru7uwvfCkTBOafDhw/X/ewVra2tOvXUU2s+M8hURkZGNDQ0NK5LXQ/M+eTxeeutt+rll1/WY489NuE+mUxm3LcQBw4c0BVXXKHdu3dPu4ePL3OezWZ1zTXX6JVXXqn4Ocgt41lY55PJZDI6dOiQ8vl8XR+3nnNeKkadc7rlllu0Y8eOCTFaS3y2trZq9uzZkWxgBkZGRnT48GGv57wUcstEvsx5paihk4tyzqPOLRbyeSnklonqNeeTxecf//Efa+vWrfrxj3884T7UUHu5hc+hpSUtt9SzOVb7QaJT+OCDD5TL5TR//vxx18+fP18HDhyYcPsNGzZo/fr1NT1nX19fya5jLdLptLZu3ar+/n7t2rWrovvu3LlTg4ODOueccySd6NSmUqnC6Wa7urrqcqzuVFKplE499VTNmDFDIyMjGh0dVS6XUz6fn/Ata3GQhi8H425tbVVHR0fdfkBwKp2dnero6CgcO53NZgvjLtXXDa4Lf1sYnvO2tjZ1d3fHOufHjx/X2NiYd3M+WXyeccYZ+q//+i/Nnj17wpx/73vf0/3331/y9Qb/wpfT6bTS6bRXcz44OFhVEfAxt+zfv19nn3124bqWlhYv13lYOEbD66WlpUXpdDq23NLR0aH58+dPm1uKY7T4/6Nc56ViNJVKaenSpdq4caNmzJgxbs7Ljc/guiC3dHZ2qrOzM5Z8XmrOJ9vQD899cW7xsYa++eabTZNbBgcHdfbZZ1NDp5DUGhootb0V/DfI53HllnLy+XRrRfK3hjbrdkuU63yy+FywYIE++OADzZ07d8KcU0OjwedQf2tos2y31JWL0Ntvv+0kueeee27c9X/xF3/hent7J9x+ZGTEDQ0NFf7t37/fSSrr37Jly9zLL7/sxsbGIns9Y2NjbuvWrW7ZsmVlj2vlypWRjgmoVqXx6dzEGB0YGHCS3NDQUBxDrouxsTHX399PboH3aq2hFuPTMnJLsiS1hiJ+5JbKEZ/A9Jolt9QzRiNtW86ZM0etra0T9hJ77733JnTypRPf/JTaHfXRRx8d95tjCxYsKBynXPwbGVFKp9Pq7+/Xnj17Sh6b26hxAdWoND6liTE6PDwc6RijkE6n9cILL3gVw+QWlFJrDbUYn5aRW5IlqTUU8SO3VI74BKZnPbdkMhndcMMNdX3+WH6Qf+XKlXrggQcK151//vm69tpry/5B/noeRwrgpFriUzrxY6WLFy8mRoGI1BKjxCcQLWoo4C/iE2huUfSKIm/f33HHHbrxxhu1atUqrVmzRj/84Q81ODioW265JeqnBjAN4hPwGzEK+Iv4BPxFfAKoVOTNseuuu04HDx7Ut7/9bb377ru64IIL9NRTT2np0qVRPzWAaRCfgN+IUcBfxCfgL+ITQKUiP6yyFhxWCfiNXc4BfxGfgN+IUcBfxCfgtyh6RS11eRQAAAAAAADAIJpjAAAAAAAASCyaYwAAAAAAAEgsmmMAAAAAAABILJpjAAAAAAAASCyaYwAAAAAAAEgsmmMAAAAAAABILJpjAAAAAAAASCyaYwAAAAAAAEgsmmMAAAAAAABILJpjAAAAAAAASCyaYwAAAAAAAEgsmmMAAAAAAABILJpjAAAAAAAASCyaYwAAAAAAAEgsmmMAAAAAAABILJpjAAAAAAAASCyaYwAAAAAAAEgsmmMAAAAAAABILJpjAAAAAAAASCyaYwAAAAAAAEgsmmMAAAAAAABILJpjAAAAAAAASCyaYwAAAAAAAEgsmmMAAAAAAABILJpjAAAAAAAASCyaYwAAAAAAAEgsmmMAAAAAAABILJpjAAAAAAAASCyaYwAAAAAAAEgsmmMAAAAAAABILJpjAAAAAAAASCyaYwAAAAAAAEgsmmMAAAAAAABILJpjAAAAAAAASCyaYwAAAAAAAEgsmmMAAAAAAABILJpjAAAAAAAASCyaYwAAAAAAAEgsmmMAAAAAAABIrEibY9/5znd02WWXqbu7W7Nnz47yqQBUiPgE/EV8An4jRgG/EaMAKhVpc2x0dFS/+7u/qz/6oz+K8mkAVIH4BPxFfAJ+I0YBvxGjACqVjvLB169fL0n6+7//+yifBkAViE/AX8Qn4DdiFPAbMQqgUpE2xyqVyWSUyWQKl4eGhiRJw8PDjRoS0PSOHz8uqbw4K47Rd955p+z7Aqgc8Qn4jRgF/FZujBKfgC1BbDrn6vaYXjXHNmzYUOjyhy1evLgBowGSpaenp+r7EqNAtIhPwG/EKOC3amOU+AT8dvDgwZpqcFjFzbF77723ZAMr7MUXX9SqVasqHszdd9+tO+64o3D58OHDWrp0qQYHB+v2gn00PDysxYsXa//+/Zo1a1ajhxOZpLxOqXGvdcOGDbrvvvumvM3GjRvV399fuPzoo4/q7rvv1uDg4LSPX/yt2ltvvaU1a9Zo586dWrJkSfUD91xS1i6vM1rEZzRYt82HGG0uSVm7vM7oRRmjxCfrtlkk5bUODQ1pyZIlOu200+r2mBU3x77+9a/r+uuvn/I2Z555ZlWD6ejoUEdHx4Tre3p6mvqNDcyaNYvX2WTifq133nmn1q1bN+VtzjzzTHV2dhYud3V1SVJN45w9e3Yi3tOkrF1eZzSIz2ixbpsPMdpckrJ2eZ3RaUSMEp/NJSmvU0rOa21pqd85Jitujs2ZM0dz5syp2wAA1A/xCfiL+AT8RowCfiNGAUQp0t8cGxwc1IcffqjBwUHlcjlt375dknTOOedoxowZUT41gGkQn4C/iE/Ab8Qo4DdiFEClIm2O3XPPPXrkkUcKl/v6+iSdOBb8iiuumPb+HR0d+ta3vlXyUMtmwutsPhZea63xKZ3YXffyyy9v+l12Lbyf9cDr9AfxWT4L72c9JOV1SjZeKzFaPgvvZz3wOv1Sa4wSn80lKa9TSs5rjeJ1plw9z30JAAAAAAAAGFK/Xy8DAAAAAAAAjKE5BgAAAAAAgMSiOQYAAAAAAIDEojkGAAAAAACAxPKuOfad73xHl112mbq7uzV79uyy7uOc07333qtFixapq6tLV1xxhf7v//4v2oHW6NChQ7rxxhvV09Ojnp4e3XjjjTp8+PCU9/nyl7+sVCo17t+ll14az4DL9MADD+iss85SZ2enVq5cqWeffXbK22/evFkrV65UZ2enli1bph/84AcxjbQ2lbzOTZs2TXjfUqmUdu/eHeOIK7dlyxZ94Qtf0KJFi5RKpfSTn/xk2vgs9X4Sn34hRiciRolRXxCfExGfxKdPiNGJiFFi1BfE50TNFJ/Tqcv76Txzzz33uPvvv9/dcccdrqenp6z73HfffW7mzJnuscceczt37nTXXXedW7hwoRseHo52sDVYu3atu+CCC9xzzz3nnnvuOXfBBRe43/qt35ryPuvWrXNr16517777buHfwYMHYxrx9P75n//ZtbW1uQcffNANDAy422+/3Z1yyinuzTffLHn7ffv2ue7ubnf77be7gYEB9+CDD7q2tjb3r//6rzGPvDKVvs6NGzc6SW7Pnj3j3rtsNhvzyCvz1FNPuW9+85vusccec5LcE088MWV8TvZ+3nDDDcSnJ4hRYpQY9TdGiU/ik/j0Nz6dI0aJUWLU5xglPps/PqdSr/fTu+ZY4OGHHy6rOZbP592CBQvcfffdV7huZGTE9fT0uB/84AcRjrB6AwMDTpL7xS9+Ubju+eefd5Lc7t27J73funXr3LXXXhvDCKtzySWXuFtuuWXcdStWrHB33XVXydv/6Z/+qVuxYsW46772ta+5Sy+9NLIx1kOlrzNISocOHYphdNEoTkql4rPU+/mHf/iHrq2tjfj0BDFKjBKj18YwwuoQn8Qn8XltDCOsHjFKjBKj18YwwuoQn8mJz1Lq9X56d1hlpV5//XUdOHBAV155ZeG6jo4OXX755XruuecaOLLJPf/88+rp6dHq1asL11166aXq6emZdsybNm3SvHnztHz5cn31q1/Ve++9F/VwyzI6OqqtW7eOex8k6corr5z0NT3//PMTbn/VVVfppZde0tjYWGRjrUU1rzPQ19enhQsX6vOf/7w2btwY5TAbotT7+YlPfEJjY2P67Gc/W7iO+GwMYpQYJUb9jVHik/gkPv2NT4kYJUaJUcnfGCU+ic96vZ/mm2MHDhyQJM2fP3/c9fPnzy/8zTcHDhzQvHnzJlw/b968Kcd89dVX69FHH9XPf/5z/b//9//04osv6nOf+5wymUyUwy3LBx98oFwuV9H7cODAgZK3z2az+uCDDyIbay2qeZ0LFy7UD3/4Qz322GN6/PHH1dvbq89//vPasmVLHEOOTan3s6XlRIppa2sbdz3xGT9ilBglRv2NUeKT+CQ+/Y1PiRglRolRn2OU+CQ+6/V+pus9sFLuvfderV+/fsrbvPjii1q1alXVz5FKpcZdds5NuC5q5b5OaeJ4penHfN111xX+/4ILLtCqVau0dOlSPfnkk/qd3/mdKkddX5W+D6VuX+p631TyOnt7e9Xb21u4vGbNGu3fv19/9Vd/pc985jORjrMc5azbck32fgYbD+Hric/GIEYnIkaJUV9ilPiciPgkPn2JT4kYLYUYJUZ9iVHicyLf47Oe6vF+xtIc+/rXv67rr79+ytuceeaZVT32ggULJJ3oFi5cuLBw/XvvvTehexi1cl/njh079Otf/3rC395///2Kxrxw4UItXbpUr776asVjrbc5c+aotbV1Qtd6qvdhwYIFJW+fTqd1+umnRzbWWlTzOku59NJL9Y//+I/1Hl5Vylm355133rSPU+r9DJJS8bdKxGf8iFFilBgdz6cYJT6JT+JzPJ/iUyJGiVFitJhPMUp82o3PeqnX+xlLc2zOnDmaM2dOJI991llnacGCBXrmmWfU19cn6cTxuJs3b9Z3v/vdSJ5zMuW+zjVr1mhoaEj/+7//q0suuUSS9MILL2hoaEiXXXZZ2c938OBB7d+/f1xTsFHa29u1cuVKPfPMM/rSl75UuP6ZZ57RtddeW/I+a9as0X/8x3+Mu+5nP/uZVq1aNWH3ZF9U8zpL2bZtmxfvm1S/+Cz1fv7yl79UW1ubNm3aVFjrxGdjEKPEKDE6nk8xSnwSn8TneD7Fp0SMEqPEaDGfYpT4tBuf9VK397Oin++PwZtvvum2bdvm1q9f72bMmOG2bdvmtm3b5o4cOVK4TW9vr3v88ccLl++77z7X09PjHn/8cbdz5073e7/3eyZOofvxj3/cPf/88+755593F1544YRT6IZf55EjR9ydd97pnnvuOff666+7jRs3ujVr1rgzzjjDm9cZnFr2oYcecgMDA+4b3/iGO+WUU9wbb7zhnHPurrvucjfeeGPh9sEpV//kT/7EDQwMuIceesjUKXTLfZ1//dd/7Z544gm3d+9e98orr7i77rrLSXKPPfZYo15CWY4cOVKIP0nu/vvvd0899ZR76qmn3Pr16117e7u75pprCvEZvJ+nnnqq+5u/+ZvC+3nDDTcQn54gRolRYtTfGCU+iU/i09/4dI4YJUaJUZ9jlPhs/vjctm2be/PNN51z0b2f3jXH1q1b5yRN+Ldx48bCbSS5hx9+uHA5n8+7b33rW27BggWuo6PDfeYzn3E7d+6Mf/AVOHjwoLvhhhvczJkz3cyZM90NN9ww4RSr4dd57Ngxd+WVV7q5c+e6trY2t2TJErdu3To3ODgY/+Cn8Ld/+7du6dKlrr293fX397vNmzcX/rZu3Tp3+eWXj7v9pk2bXF9fn2tvb3dnnnmm+/73vx/ziKtTyev87ne/684++2zX2dnpTj31VPepT33KPfnkkw0YdWWCU/+W8y+Iz02bNjlJrrW1tfB+Ep9+IUaJUWLU3xglPolP4tPf+HSOGHWOGCVG/Y1R4rP543PdunXOuejez5Rz///B0gAAAAAAAEDCtEx/EwAAAAAAAKA50RwDAAAAAABAYtEcAwAAAAAAQGLRHAMAAAAAAEBi0RwDAAAAAABAYtEcAwAAAAAAQGLRHAMAAAAAAEBi0RwDAAAAAABAYtEcAwAAAAAAQGLRHAMAAAAAAEBi0RwDAAAAAABAYtEcAwAAAAAAQGL9f/Hqc4LbQ9rgAAAAAElFTkSuQmCC\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "plt.subplots(1, 5, figsize=(15, 2))\n", - "plt.subplots_adjust(wspace=0, hspace=0)\n", - "\n", - "for i in range(1,6):\n", - " plt.subplot(1,5,i)\n", - " group_id = i - 1\n", - " plt.plot(x_grid.detach().numpy(), y.detach().numpy(), color='black', alpha=0.1)\n", - " plt.scatter(x_sample[group_id*n_num_per_peak:(group_id+1)*n_num_per_peak].detach().numpy(), y_sample[group_id*n_num_per_peak:(group_id+1)*n_num_per_peak].detach().numpy(), color=\"black\", s=2)\n", - " plt.xlim(-1,1)\n", - " plt.ylim(-1,2)" - ] - }, - { - "cell_type": "markdown", - "id": "3e487a84", - "metadata": {}, - "source": [ - "Training KAN" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "id": "11a1d129", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 4.00e-06 | test loss: 4.00e-06 | reg: 2.35e+00 : 100%|█| 100/100 [00:03<00:00, 32.00it/s\n", - "train loss: 4.01e-06 | test loss: 4.01e-06 | reg: 2.35e+00 : 100%|█| 100/100 [00:02<00:00, 39.46it/s\n", - "train loss: 3.99e-06 | test loss: 3.99e-06 | reg: 2.35e+00 : 100%|█| 100/100 [00:02<00:00, 34.10it/s\n", - "train loss: 3.99e-06 | test loss: 3.99e-06 | reg: 2.35e+00 : 100%|█| 100/100 [00:02<00:00, 38.86it/s\n", - "train loss: 4.00e-06 | test loss: 4.00e-06 | reg: 2.35e+00 : 100%|█| 100/100 [00:02<00:00, 38.20it/s\n" - ] - } - ], - "source": [ - "ys = []\n", - "\n", - "# setting bias_trainable=False, sp_trainable=False, sb_trainable=False is important.\n", - "# otherwise KAN will have random scaling and shift for samples in previous stages\n", - "\n", - "model = KAN(width=[1,1], grid=200, k=3, noise_scale=0.1, sp_trainable=False, sb_trainable=False)\n", - "\n", - "for group_id in range(n_peak):\n", - " dataset = {}\n", - " dataset['train_input'] = x_sample[group_id*n_num_per_peak:(group_id+1)*n_num_per_peak][:,None]\n", - " dataset['train_label'] = y_sample[group_id*n_num_per_peak:(group_id+1)*n_num_per_peak][:,None]\n", - " dataset['test_input'] = x_sample[group_id*n_num_per_peak:(group_id+1)*n_num_per_peak][:,None]\n", - " dataset['test_label'] = y_sample[group_id*n_num_per_peak:(group_id+1)*n_num_per_peak][:,None]\n", - " model.fit(dataset, opt = 'LBFGS', steps=100, update_grid=False);\n", - " y_pred = model(x_grid[:,None])\n", - " ys.append(y_pred.detach().numpy()[:,0])" - ] - }, - { - "cell_type": "markdown", - "id": "dbb9a1b7", - "metadata": {}, - "source": [ - "Prediction of KAN after each stage" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "id": "12379f4a", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "plt.subplots(1, 5, figsize=(15, 2))\n", - "plt.subplots_adjust(wspace=0, hspace=0)\n", - "\n", - "for i in range(1,6):\n", - " plt.subplot(1,5,i)\n", - " group_id = i - 1\n", - " plt.plot(x_grid.detach().numpy(), y.detach().numpy(), color='black', alpha=0.1)\n", - " plt.plot(x_grid.detach().numpy(), ys[i-1], color='black')\n", - " plt.xlim(-1,1)\n", - " plt.ylim(-1,2)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "d2002726", - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.7" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/tutorials/.ipynb_checkpoints/Example_8_scaling-checkpoint.ipynb b/tutorials/.ipynb_checkpoints/Example_8_scaling-checkpoint.ipynb deleted file mode 100644 index 06018429..00000000 --- a/tutorials/.ipynb_checkpoints/Example_8_scaling-checkpoint.ipynb +++ /dev/null @@ -1,544 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "5d904dee", - "metadata": {}, - "source": [ - "# Example 8: KANs' Scaling Laws" - ] - }, - { - "cell_type": "markdown", - "id": "6465ec94", - "metadata": {}, - "source": [ - "In this example, we show KAN's scaling laws (wrt model params and data size)" - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "id": "a1c25e8a", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "data_size=100\n", - "grid_size=5\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 5.45e-03 | test loss: 7.44e-03 | reg: 0.00e+00 : 100%|██| 50/50 [00:07<00:00, 6.28it/s]\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "grid_size=10\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 2.33e-04 | test loss: 1.38e-03 | reg: 0.00e+00 : 100%|██| 50/50 [00:04<00:00, 11.46it/s]\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "grid_size=20\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 3.80e-05 | test loss: 7.60e-03 | reg: 0.00e+00 : 100%|██| 50/50 [00:03<00:00, 15.35it/s]\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "grid_size=50\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 5.61e-01 | test loss: 1.51e+00 | reg: 0.00e+00 : 100%|██| 50/50 [00:07<00:00, 6.91it/s]\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "grid_size=100\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 7.86e-02 | test loss: 1.19e+00 | reg: 0.00e+00 : 100%|██| 50/50 [00:07<00:00, 6.87it/s]\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "data_size=300\n", - "grid_size=5\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 5.68e-03 | test loss: 6.18e-03 | reg: 0.00e+00 : 100%|██| 50/50 [00:04<00:00, 12.46it/s]\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "grid_size=10\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 2.85e-04 | test loss: 3.33e-04 | reg: 0.00e+00 : 100%|██| 50/50 [00:04<00:00, 11.53it/s]\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "grid_size=20\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 2.33e-05 | test loss: 3.69e-04 | reg: 0.00e+00 : 100%|██| 50/50 [00:04<00:00, 12.46it/s]\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "grid_size=50\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 3.59e-06 | test loss: 4.51e-03 | reg: 0.00e+00 : 100%|██| 50/50 [00:07<00:00, 6.43it/s]\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "grid_size=100\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 3.19e-06 | test loss: 3.36e-02 | reg: 0.00e+00 : 100%|██| 50/50 [00:08<00:00, 6.25it/s]\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "data_size=1000\n", - "grid_size=5\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 6.09e-03 | test loss: 6.24e-03 | reg: 0.00e+00 : 100%|██| 50/50 [00:06<00:00, 8.19it/s]\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "grid_size=10\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 2.75e-04 | test loss: 3.09e-04 | reg: 0.00e+00 : 100%|██| 50/50 [00:05<00:00, 9.25it/s]\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "grid_size=20\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 1.70e-05 | test loss: 2.00e-05 | reg: 0.00e+00 : 100%|██| 50/50 [00:07<00:00, 6.64it/s]\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "grid_size=50\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 1.42e-06 | test loss: 1.63e-06 | reg: 0.00e+00 : 100%|██| 50/50 [00:12<00:00, 4.10it/s]\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "grid_size=100\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 9.83e-07 | test loss: 1.61e-06 | reg: 0.00e+00 : 100%|██| 50/50 [00:10<00:00, 4.91it/s]\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "data_size=3000\n", - "grid_size=5\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 6.09e-03 | test loss: 6.01e-03 | reg: 0.00e+00 : 100%|██| 50/50 [00:13<00:00, 3.62it/s]\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "grid_size=10\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 3.09e-04 | test loss: 3.20e-04 | reg: 0.00e+00 : 100%|██| 50/50 [00:22<00:00, 2.20it/s]\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "grid_size=20\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 1.76e-05 | test loss: 1.92e-05 | reg: 0.00e+00 : 100%|██| 50/50 [00:22<00:00, 2.20it/s]\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "grid_size=50\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 1.41e-06 | test loss: 8.81e-05 | reg: 0.00e+00 : 100%|██| 50/50 [00:40<00:00, 1.22it/s]\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "grid_size=100\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 1.29e-06 | test loss: 6.64e-04 | reg: 0.00e+00 : 100%|██| 50/50 [00:31<00:00, 1.56it/s]\n" - ] - } - ], - "source": [ - "from kan import *\n", - "\n", - "# initialize KAN with G=3\n", - "model = KAN(width=[2,1,1], grid=3, k=3)\n", - "\n", - "data_sizes = np.array([100,300,1000,3000])\n", - "grids = np.array([5,10,20,50,100])\n", - "\n", - "train_losses = np.zeros((data_sizes.shape[0], grids.shape[0]))\n", - "test_losses = np.zeros((data_sizes.shape[0], grids.shape[0]))\n", - "steps = 50\n", - "k = 3\n", - "\n", - "for j in range(data_sizes.shape[0]):\n", - " data_size = data_sizes[j]\n", - " print(f'data_size={data_size}')\n", - " # create dataset\n", - " f = lambda x: torch.exp(torch.sin(torch.pi*x[:,[0]]) + x[:,[1]]**2)\n", - " dataset = create_dataset(f, n_var=2, train_num=data_size)\n", - " \n", - " for i in range(grids.shape[0]):\n", - " print(f'grid_size={grids[i]}')\n", - " if i == 0:\n", - " model = KAN(width=[2,1,1], grid=grids[i], k=k)\n", - " model.speed()\n", - " if i != 0:\n", - " model.save_plot_data = True\n", - " model.get_act(dataset)\n", - " model = model.refine(grids[i])\n", - " model.speed()\n", - " results = model.fit(dataset, opt=\"LBFGS\", steps=steps, stop_grid_update_step = 30)\n", - " train_losses[j][i] = results['train_loss'][-1]\n", - " test_losses[j][i] = results['test_loss'][-1]\n" - ] - }, - { - "cell_type": "markdown", - "id": "6be8ba55", - "metadata": {}, - "source": [ - "Fix data size, study model (grid) size scaling. Roughly display $N^{-4}$ scaling." - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "id": "e05289dd", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "Text(0.5, 0, 'grid size')" - ] - }, - "execution_count": 2, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "for i in range(data_sizes.shape[0]):\n", - " plt.plot(grids, train_losses[i,:], marker=\"o\")\n", - "plt.xscale('log')\n", - "plt.yscale('log')\n", - "plt.plot(np.array([5,100]), 0.1*np.array([3,100])**(-4.), ls=\"--\", color=\"black\")\n", - "plt.legend([f'data={data_sizes[i]}' for i in range(data_sizes.shape[0])]+[r'$N^{-4}$'])\n", - "plt.ylabel('train RMSE')\n", - "plt.xlabel('grid size')" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "id": "6d15cc9e", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "Text(0.5, 0, 'grid size')" - ] - }, - "execution_count": 3, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "for i in range(data_sizes.shape[0]):\n", - " plt.plot(grids, test_losses[i,:], marker=\"o\")\n", - "plt.xscale('log')\n", - "plt.yscale('log')\n", - "plt.plot(np.array([5,100]), 0.1*np.array([3,100])**(-4.), ls=\"--\", color=\"black\")\n", - "plt.legend([f'data={data_sizes[i]}' for i in range(data_sizes.shape[0])]+[r'$N^{-4}$'])\n", - "plt.ylabel('test RMSE')\n", - "plt.xlabel('grid size')" - ] - }, - { - "cell_type": "markdown", - "id": "18bcedfe", - "metadata": {}, - "source": [ - "Fix model (grid) size, study data size scaling. No clear power law scaling. But we observe that: (1) increasing data size has no harm to performance. (2) powerful model (larger grid size) can benefit more from data size increase. Ideally one would want to increase data size and model size together so that their complexity always match." - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "id": "0dd85c41", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "Text(0.5, 0, 'data size')" - ] - }, - "execution_count": 4, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "for i in range(grids.shape[0]):\n", - " plt.plot(data_sizes, train_losses[:,i], marker=\"o\")\n", - "plt.xscale('log')\n", - "plt.yscale('log')\n", - "plt.plot(np.array([100,3000]), 1e8*np.array([100,3000])**(-4.), ls=\"--\", color=\"black\")\n", - "plt.legend([f'grid={grids[i]}' for i in range(grids.shape[0])]+[r'$N^{-4}$'])\n", - "plt.ylabel('train RMSE')\n", - "plt.xlabel('data size')" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "id": "107801f6", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "Text(0.5, 0, 'data size')" - ] - }, - "execution_count": 5, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "for i in range(grids.shape[0]):\n", - " plt.plot(data_sizes, test_losses[:,i], marker=\"o\")\n", - "plt.xscale('log')\n", - "plt.yscale('log')\n", - "plt.plot(np.array([100,3000]), 1e5*np.array([100,3000])**(-4.), ls=\"--\", color=\"black\")\n", - "plt.legend([f'grid={grids[i]}' for i in range(grids.shape[0])]+[r'$N^{-4}$'])\n", - "plt.ylabel('test RMSE')\n", - "plt.xlabel('data size')" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "47bdf5af", - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.7" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/tutorials/.ipynb_checkpoints/Example_9_singularity-checkpoint.ipynb b/tutorials/.ipynb_checkpoints/Example_9_singularity-checkpoint.ipynb deleted file mode 100644 index e1cbd4ab..00000000 --- a/tutorials/.ipynb_checkpoints/Example_9_singularity-checkpoint.ipynb +++ /dev/null @@ -1,387 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "134e7f9d", - "metadata": {}, - "source": [ - "# Example 9: Singularity" - ] - }, - { - "cell_type": "markdown", - "id": "2571d531", - "metadata": {}, - "source": [ - "Let's construct a dataset which contains singularity $f(x,y)=sin(log(x)+log(y))\n", - " (x>0,y>0)$" - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "id": "2075ef56", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 5.01e-03 | test loss: 5.28e-03 | reg: 7.54e+00 : 100%|██| 20/20 [00:06<00:00, 3.16it/s]\n" - ] - } - ], - "source": [ - "from kan import *\n", - "import torch\n", - "\n", - "# create a KAN: 2D inputs, 1D output, and 5 hidden neurons. cubic spline (k=3), 5 grid intervals (grid=5).\n", - "model = KAN(width=[2,1,1], grid=20, k=3, seed=0)\n", - "f = lambda x: torch.sin(2*(torch.log(x[:,[0]])+torch.log(x[:,[1]])))\n", - "dataset = create_dataset(f, n_var=2, ranges=[0.2,5])\n", - "\n", - "# train the model\n", - "model.fit(dataset, opt=\"LBFGS\", steps=20);" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "id": "3f95fcdd", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.plot()" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "id": "ccb7ec43", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "r2 is 0.9999974370002747\n", - "r2 is 0.9999890923500061\n", - "r2 is 0.999965488910675\n" - ] - }, - { - "data": { - "text/plain": [ - "tensor(1.0000)" - ] - }, - "execution_count": 3, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "model.fix_symbolic(0,0,0,'log')\n", - "model.fix_symbolic(0,1,0,'log')\n", - "model.fix_symbolic(1,0,0,'sin')" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "id": "0937db67", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 2.85e-07 | test loss: 2.82e-07 | reg: 7.54e+00 : 100%|██| 20/20 [00:02<00:00, 9.03it/s]\n" - ] - } - ], - "source": [ - "model.fit(dataset, opt=\"LBFGS\", steps=20);" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "id": "e959cda3", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle - 1.0 \\sin{\\left(2.0 \\log{\\left(2.205 x_{1} \\right)} + 2.0 \\log{\\left(2.018 x_{2} \\right)} + 0.156 \\right)}$" - ], - "text/plain": [ - "-1.0*sin(2.0*log(2.205*x_1) + 2.0*log(2.018*x_2) + 0.156)" - ] - }, - "execution_count": 5, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "ex_round(model.symbolic_formula()[0][0], 3)" - ] - }, - { - "cell_type": "markdown", - "id": "16e4da06", - "metadata": {}, - "source": [ - "We were lucky -- singularity does not seem to be a problem in this case. But let's instead consider $f(x,y)=\\sqrt{x^2+y^2}$. $x=y=0$ is a singularity point." - ] - }, - { - "cell_type": "code", - "execution_count": 13, - "id": "1ce52cec", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 4.94e-03 | test loss: 5.23e-03 | reg: 5.98e+00 : 100%|██| 20/20 [00:03<00:00, 5.04it/s]\n" - ] - } - ], - "source": [ - "from kan import *\n", - "import torch\n", - "\n", - "# create a KAN: 2D inputs, 1D output, and 5 hidden neurons. cubic spline (k=3), 5 grid intervals (grid=5).\n", - "model = KAN(width=[2,1,1], grid=5, k=3, seed=0)\n", - "f = lambda x: torch.sqrt(x[:,[0]]**2+x[:,[1]]**2)\n", - "dataset = create_dataset(f, n_var=2)\n", - "\n", - "# train the model\n", - "model.fit(dataset, opt=\"LBFGS\", steps=20);" - ] - }, - { - "cell_type": "code", - "execution_count": 14, - "id": "3a69ec41", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.plot()" - ] - }, - { - "cell_type": "code", - "execution_count": 15, - "id": "abef7aa9", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "r2 is 0.9999871253967285\n", - "r2 is 0.9999728798866272\n", - "r2 is 0.9998090863227844\n" - ] - }, - { - "data": { - "text/plain": [ - "tensor(0.9998)" - ] - }, - "execution_count": 15, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "model.fix_symbolic(0,0,0,'x^2')\n", - "model.fix_symbolic(0,1,0,'x^2')\n", - "model.fix_symbolic(1,0,0,'sqrt')" - ] - }, - { - "cell_type": "code", - "execution_count": 16, - "id": "e14000d8", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle 1.01262303277627 \\sqrt{\\left(8.59418125232242 \\cdot 10^{-5} - x_{2}\\right)^{2} + 0.999965395886852 \\left(- x_{1} - 2.26198704007758 \\cdot 10^{-5}\\right)^{2} + 0.00768977463773129} - 0.0159889459609985$" - ], - "text/plain": [ - "1.01262303277627*sqrt((8.59418125232242e-5 - x_2)**2 + 0.999965395886852*(-x_1 - 2.26198704007758e-5)**2 + 0.00768977463773129) - 0.0159889459609985" - ] - }, - "execution_count": 16, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "formula = model.symbolic_formula()[0][0]\n", - "formula" - ] - }, - { - "cell_type": "code", - "execution_count": 17, - "id": "c56ee3d5", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle 1.01 \\sqrt{1.0 x_{1}^{2} + x_{2}^{2} + 0.01} - 0.02$" - ], - "text/plain": [ - "1.01*sqrt(1.0*x_1**2 + x_2**2 + 0.01) - 0.02" - ] - }, - "execution_count": 17, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "ex_round(formula, 2)" - ] - }, - { - "cell_type": "markdown", - "id": "1fd57d41", - "metadata": {}, - "source": [ - "w/ singularity avoiding" - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "id": "de708f21", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 4.85e-08 | test loss: 4.84e-08 | reg: 5.95e+00 : 100%|██| 20/20 [00:01<00:00, 14.88it/s]\n" - ] - } - ], - "source": [ - "model.fit(dataset, opt=\"LBFGS\", steps=20, update_grid=False, singularity_avoiding=True);" - ] - }, - { - "cell_type": "markdown", - "id": "6fd34c4c", - "metadata": {}, - "source": [ - "w/o singularity avoiding, nan may appear" - ] - }, - { - "cell_type": "code", - "execution_count": 18, - "id": "031fabd6", - "metadata": { - "scrolled": true - }, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: nan | test loss: nan | reg: nan : 25%|████▌ | 5/20 [00:01<00:03, 3.90it/s]" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "\n", - "Intel MKL ERROR: Parameter 6 was incorrect on entry to SGELSY.\n", - "\n", - "Intel MKL ERROR: Parameter 6 was incorrect on entry to SGELSY.\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "\n" - ] - }, - { - "ename": "RuntimeError", - "evalue": "false INTERNAL ASSERT FAILED at \"/Users/runner/work/pytorch/pytorch/pytorch/aten/src/ATen/native/BatchLinearAlgebra.cpp\":1540, please report a bug to PyTorch. torch.linalg.lstsq: (Batch element 0): Argument 6 has illegal value. Most certainly there is a bug in the implementation calling the backend library.", - "output_type": "error", - "traceback": [ - "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", - "\u001b[0;31mRuntimeError\u001b[0m Traceback (most recent call last)", - "\u001b[0;32m/var/folders/6j/b6y80djd4nb5hl73rv3sv8y80000gn/T/ipykernel_33275/1949812002.py\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mmodel\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mfit\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mdataset\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mopt\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;34m\"LBFGS\"\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0msteps\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m20\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m;\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m", - "\u001b[0;32m~/Desktop/2022/research/code/pykan/kan/MultKAN.py\u001b[0m in \u001b[0;36mfit\u001b[0;34m(self, dataset, opt, steps, log, lamb, lamb_l1, lamb_entropy, lamb_coef, lamb_coefdiff, update_grid, grid_update_num, loss_fn, lr, start_grid_update_step, stop_grid_update_step, batch, small_mag_threshold, small_reg_factor, metrics, save_fig, in_vars, out_vars, beta, save_fig_freq, img_folder, device, singularity_avoiding, y_th, reg_metric)\u001b[0m\n\u001b[1;32m 804\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 805\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0m_\u001b[0m \u001b[0;34m%\u001b[0m \u001b[0mgrid_update_freq\u001b[0m \u001b[0;34m==\u001b[0m \u001b[0;36m0\u001b[0m \u001b[0;32mand\u001b[0m \u001b[0m_\u001b[0m \u001b[0;34m<\u001b[0m \u001b[0mstop_grid_update_step\u001b[0m \u001b[0;32mand\u001b[0m \u001b[0mupdate_grid\u001b[0m \u001b[0;32mand\u001b[0m \u001b[0m_\u001b[0m \u001b[0;34m>=\u001b[0m \u001b[0mstart_grid_update_step\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 806\u001b[0;31m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mupdate_grid_from_samples\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mdataset\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m'train_input'\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mtrain_id\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mto\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mdevice\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 807\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 808\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mopt\u001b[0m \u001b[0;34m==\u001b[0m \u001b[0;34m\"LBFGS\"\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", - 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"\u001b[0;32m~/Desktop/2022/research/code/pykan/kan/KANLayer.py\u001b[0m in \u001b[0;36mupdate_grid_from_samples\u001b[0;34m(self, x)\u001b[0m\n\u001b[1;32m 228\u001b[0m \u001b[0mgrid\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mgrid_eps\u001b[0m \u001b[0;34m*\u001b[0m \u001b[0mgrid_uniform\u001b[0m \u001b[0;34m+\u001b[0m \u001b[0;34m(\u001b[0m\u001b[0;36m1\u001b[0m \u001b[0;34m-\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mgrid_eps\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;34m*\u001b[0m \u001b[0mgrid_adaptive\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 229\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mgrid\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mdata\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mextend_grid\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mgrid\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mk_extend\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mk\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 230\u001b[0;31m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mcoef\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mdata\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mcurve2coef\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mx_pos\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0my_eval\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mgrid\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mk\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mdevice\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mdevice\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 231\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 232\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0minitialize_grid_from_parent\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mparent\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mx\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", - "\u001b[0;32m~/Desktop/2022/research/code/pykan/kan/spline.py\u001b[0m in \u001b[0;36mcurve2coef\u001b[0;34m(x_eval, y_eval, grid, k, device)\u001b[0m\n\u001b[1;32m 164\u001b[0m \u001b[0;31m# coef shape: (in_dim, outdim, G+k)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 165\u001b[0m \u001b[0my_eval\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0my_eval\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mpermute\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;36m2\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;36m0\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0munsqueeze\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mdim\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m3\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;31m# y_eval: (in_dim, out_dim, batch, 1)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 166\u001b[0;31m coef = torch.linalg.lstsq(mat.to(device), y_eval.to(device),\n\u001b[0m\u001b[1;32m 167\u001b[0m driver='gelsy' if device == 'cpu' else 'gels').solution[:,:,:,0]\n\u001b[1;32m 168\u001b[0m \u001b[0;32mreturn\u001b[0m \u001b[0mcoef\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mto\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mdevice\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", - "\u001b[0;31mRuntimeError\u001b[0m: false INTERNAL ASSERT FAILED at \"/Users/runner/work/pytorch/pytorch/pytorch/aten/src/ATen/native/BatchLinearAlgebra.cpp\":1540, please report a bug to PyTorch. torch.linalg.lstsq: (Batch element 0): Argument 6 has illegal value. Most certainly there is a bug in the implementation calling the backend library." - ] - } - ], - "source": [ - "model.fit(dataset, opt=\"LBFGS\", steps=20);" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.7" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/tutorials/.ipynb_checkpoints/Extension_1_boundary_condition-checkpoint.ipynb b/tutorials/.ipynb_checkpoints/Extension_1_boundary_condition-checkpoint.ipynb deleted file mode 100644 index df93b6e2..00000000 --- a/tutorials/.ipynb_checkpoints/Extension_1_boundary_condition-checkpoint.ipynb +++ /dev/null @@ -1,256 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "2971746e", - "metadata": {}, - "source": [ - "# Extension example 1: Boudary Condition" - ] - }, - { - "cell_type": "markdown", - "id": "cba1c2b8", - "metadata": {}, - "source": [ - "For some applications, we want to constrain the function space of KANs. This notebook investigates when there are boundary conditions, we can hard code this information into KANs. This can be done by defining a new class MyKAN that inherits the KAN class. The forward() method needs to be overridden." - ] - }, - { - "cell_type": "markdown", - "id": "fb2a4e1f", - "metadata": {}, - "source": [ - "Example 1: $f(x), x\\in [0,1], f(0)=0, f(1)=0$. To construct the condition, we set $f(x)=x(1-x)\\cdot {\\rm KAN}(x)$." - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "id": "ef203d38", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "checkpoint directory created: ./model\n", - "saving model version 0.0\n" - ] - }, - { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 1, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "from kan import *\n", - "\n", - "class MyKAN(KAN):\n", - " \n", - " def __init__(self, width=None, grid=3, k=3, seed=1):\n", - " super(MyKAN, self).__init__(width, grid, k, seed=seed)\n", - " \n", - " def forward(self, x):\n", - " y_kan = super(MyKAN, self).forward(x)\n", - " y_mtp = x * (1 - x)\n", - " return y_kan * y_mtp\n", - " \n", - "model = MyKAN(width=[1,1], seed=1)\n", - "x = torch.linspace(0,1,steps=1001)[:,None]\n", - "plt.plot(x.detach().numpy(), model(x).detach().numpy())\n", - "plt.scatter([0,1],[0,0], color='red')" - ] - }, - { - "cell_type": "markdown", - "id": "cc9ea0cb", - "metadata": {}, - "source": [ - "Example 2: $f(x), x\\in [0,1], f(t_0)=y_0, f(t_1)=y_1$. To construct the condition, we set $f(x)=(x-t_0)(t_1-x)\\cdot {\\rm KAN}(x) + (y_1-y_0)/(t_1-t_0) * (x-t_0) + y_0$." - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "id": "c439b796", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "checkpoint directory created: ./model\n", - "saving model version 0.0\n" - ] - }, - { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 2, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "from kan import *\n", - "\n", - "t0 = 0\n", - "t1 = 1\n", - "y0 = 1\n", - "y1 = 1.2\n", - "\n", - "class MyKAN(KAN):\n", - " \n", - " def __init__(self, width, t0, t1, y0, y1, grid=3, k=3, seed=1, noise_scale=1.0):\n", - " super(MyKAN, self).__init__(width, grid, k, seed=seed)\n", - " self.t0 = t0\n", - " self.t1 = t1\n", - " self.y0 = y0\n", - " self.y1 = y1\n", - " \n", - " def forward(self, x):\n", - " y_kan = super(MyKAN, self).forward(x)\n", - " y_mtp = (x- self.t0) * (self.t1 - x)\n", - " return y_kan * y_mtp + (self.y1 - self.y0)/(self.t1 - self.t0) * (x - self.t0) + self.y0\n", - " \n", - "model = MyKAN(width=[1,1], t0=t0, t1=t1, y0=y0, y1=y1, seed=1)\n", - "x = torch.linspace(0,1,steps=1001)[:,None]\n", - "plt.plot(x.detach().numpy(), model(x).detach().numpy())\n", - "plt.scatter([t0,t1],[y0,y1], color='red')" - ] - }, - { - "cell_type": "markdown", - "id": "1170c3a7", - "metadata": {}, - "source": [ - "Example 3: $f(x,y), x\\in[0,1], y\\in[0,1], f(0,y)=f(1,y)=f(x,0)=f(x,1)=0$. Set $f(x,y)=x(1-x)y(1-y)\\cdot{\\rm KAN}(x,y)$." - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "id": "dba9aac3", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "checkpoint directory created: ./model\n", - "saving model version 0.0\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/Users/ziming/opt/anaconda3/lib/python3.9/site-packages/torch/functional.py:507: UserWarning: torch.meshgrid: in an upcoming release, it will be required to pass the indexing argument. (Triggered internally at /Users/runner/work/pytorch/pytorch/pytorch/aten/src/ATen/native/TensorShape.cpp:3550.)\n", - " return _VF.meshgrid(tensors, **kwargs) # type: ignore[attr-defined]\n" - ] - }, - { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 3, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "from kan import *\n", - "\n", - "class MyKAN(KAN):\n", - " \n", - " def __init__(self, width=None, grid=3, k=3, seed=1):\n", - " super(MyKAN, self).__init__(width, grid, k, seed=seed)\n", - " \n", - " def forward(self, x):\n", - " y_kan = super(MyKAN, self).forward(x)\n", - " y_mtp = x[:,[0]] * (1 - x[:,[0]]) * x[:,[1]] * (1 - x[:,[1]])\n", - " return y_kan * y_mtp\n", - " \n", - "model = MyKAN(width=[2,5,1], seed=2)\n", - "x = torch.linspace(0,1,steps=101)\n", - "y = torch.linspace(0,1,steps=101)\n", - "X, Y = torch.meshgrid(x, y)\n", - "inputs = torch.stack([X.reshape(-1,), Y.reshape(-1,)]).permute(1,0)\n", - "mat = model(inputs).reshape(101,101)\n", - "plt.matshow(mat.detach().numpy())\n", - "plt.colorbar()" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "07e45f8f", - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.7" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/tutorials/.ipynb_checkpoints/Extension_2_autoencoder-checkpoint.ipynb b/tutorials/.ipynb_checkpoints/Extension_2_autoencoder-checkpoint.ipynb deleted file mode 100644 index 1174f5a8..00000000 --- a/tutorials/.ipynb_checkpoints/Extension_2_autoencoder-checkpoint.ipynb +++ /dev/null @@ -1,522 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "7939f51d", - "metadata": {}, - "source": [ - "# Extension example 2: Autoencoder" - ] - }, - { - "cell_type": "markdown", - "id": "dfaf3e9e", - "metadata": {}, - "source": [ - "An auto-encoder has an encoder and a decoder. We allow the encoder to be an MLP or a KAN, and allow the decoder to be an MLP or a KAN. (When both encoder and decoder are KANs, it is actually uncessary to separate them: you can combine them into a larger KAN.)" - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "id": "46adff97", - "metadata": {}, - "outputs": [], - "source": [ - "from kan import *\n", - "from kan.MLP import MLP\n", - "\n", - "# define the AutoEncoder class\n", - "\n", - "class AutoEncoder(KAN):\n", - " \n", - " def __init__(self, width_enc=None, width_dec=None, grid=3, k=3, seed=1, enc_type='kan', dec_type='kan'):\n", - " \n", - " # this is a bit hacky. The class is inherited from the KAN class to make it easy to create the fit() method.\n", - " super(AutoEncoder, self).__init__(width=[1,1])\n", - " \n", - " if enc_type == 'kan':\n", - " self.encoder = KAN(width=width_enc, grid=grid, k=k, seed=seed, auto_save=False, base_fun='identity')\n", - " elif enc_type == 'mlp':\n", - " self.encoder = MLP(width=width_enc, seed=seed)\n", - " \n", - " if dec_type == 'kan':\n", - " self.decoder = KAN(width=width_dec, grid=grid, k=k, seed=seed, auto_save=False, base_fun='identity')\n", - " elif dec_type == 'mlp':\n", - " self.decoder = MLP(width=width_dec, seed=seed)\n", - " \n", - " self.enc_type = enc_type\n", - " self.dec_type = dec_type\n", - " \n", - " def forward(self, x, singularity_avoiding=False, y_th=1000.):\n", - " hidden = self.encoder(x)\n", - " y = self.decoder(hidden)\n", - " return y\n", - " \n", - " def get_params(self):\n", - " return list(self.encoder.parameters()) + list(self.decoder.parameters())\n", - " \n", - " def get_reg(self, reg_metric='fa', lamb_l1=1., lamb_entropy=2., lamb_coef=1., lamb_coefdiff=0.):\n", - " \n", - " if self.enc_type == 'kan':\n", - " enc_reg = self.encoder.reg(reg_metric, lamb_l1, lamb_entropy, lamb_coef, lamb_coefdiff)\n", - " else:\n", - " enc_reg = self.encoder.reg(reg_metric='w', lamb_l1=lamb_l1, lamb_entropy=lamb_entropy)\n", - " \n", - " if self.dec_type == 'kan':\n", - " dec_reg = self.decoder.reg(reg_metric, lamb_l1, lamb_entropy, lamb_coef, lamb_coefdiff)\n", - " else:\n", - " dec_reg = self.decoder.reg(reg_metric='w', lamb_l1=lamb_l1, lamb_entropy=lamb_entropy)\n", - " \n", - " return enc_reg + dec_reg\n", - " \n", - " def attribute(self):\n", - " self.decoder.attribute()\n", - " self.encoder.attribute(out_score=self.decoder.feature_score)\n", - " \n", - " \n", - " def update_grid(self, x):\n", - " \n", - " if self.enc_type == 'kan':\n", - " self.encoder.update_grid_from_samples(x)\n", - " \n", - " hidden = self.encoder(x).detach()\n", - " if self.dec_type == 'kan':\n", - " self.decoder.update_grid_from_samples(hidden)\n", - " \n", - " def disable_symbolic_in_fit(self, lamb):\n", - " if self.enc_type == 'kan':\n", - " self.encoder.disable_symbolic_in_fit(lamb)\n", - " if self.dec_type == 'kan':\n", - " self.decoder.disable_symbolic_in_fit(lamb)\n", - " return None, None\n", - " \n", - " \n", - " def fit(self, dataset, reg_metric='act', steps=20, lamb=0., lamb_l1=1., lamb_entropy=2., lamb_coef=1., lamb_coefdiff=0.):\n", - " super(AutoEncoder, self).fit(dataset, reg_metric=reg_metric, steps=steps, lamb=lamb, lamb_l1=lamb_l1, lamb_entropy=lamb_entropy, lamb_coef=lamb_coef, lamb_coefdiff=lamb_coefdiff)\n", - " " - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "id": "b9b27f75", - "metadata": {}, - "outputs": [], - "source": [ - "x = torch.normal(0,1,size=(1000,4))\n", - "x[:,[2]] = x[:,[0]]\n", - "x[:,[3]] = x[:,[1]]\n", - "\n", - "fraction = 0.8\n", - "num = x.shape[0]\n", - "train_num = int(num * fraction)\n", - "test_num = num - train_num\n", - "train_id = np.random.choice(num, train_num, replace=False)\n", - "test_id = list(set(range(num)) - set(train_id))\n", - "dataset = {}\n", - "dataset['train_input'] = dataset['train_label'] = x[train_id]\n", - "dataset['test_input'] = dataset['test_label'] = x[test_id]" - ] - }, - { - "cell_type": "markdown", - "id": "21638921", - "metadata": {}, - "source": [ - "Case 1: KAN encoder, KAN decoder" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "id": "988cce8e", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "checkpoint directory created: ./model\n", - "saving model version 0.0\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "| train_loss: 1.22e-02 | test_loss: 1.27e-02 | reg: 3.36e+01 | : 100%|█| 100/100 [01:02<00:00, 1.61" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "saving model version 0.1\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "\n" - ] - } - ], - "source": [ - "enc_type = 'kan' # 'kan' or 'mlp'\n", - "dec_type = 'kan' # 'kan' or 'mlp'\n", - "\n", - "model = AutoEncoder(width_enc=[4,5,2], width_dec=[2,5,4], seed=0, enc_type=enc_type, dec_type=dec_type)\n", - "model.fit(dataset, lamb=1e-3, steps=100);" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "id": "3474c959", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.decoder.plot(metric='act')" - ] - }, - { - "cell_type": "markdown", - "id": "c30b90e9", - "metadata": {}, - "source": [ - "Case 2: KAN encoder, MLP decoder" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "id": "e52efc2b", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "checkpoint directory created: ./model\n", - "saving model version 0.0\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "| train_loss: 1.16e-02 | test_loss: 2.59e-02 | reg: 3.83e+01 | : 100%|█| 100/100 [00:33<00:00, 2.96" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "saving model version 0.1\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "\n" - ] - } - ], - "source": [ - "enc_type = 'kan' # 'kan' or 'mlp'\n", - "dec_type = 'mlp' # 'kan' or 'mlp'\n", - "\n", - "model = AutoEncoder(width_enc=[4,5,2], width_dec=[2,5,4], seed=1, enc_type=enc_type, dec_type=dec_type)\n", - "model.fit(dataset, lamb=1e-3, steps=100);" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "id": "6c11693e", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", 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vf/yTTp1YW1TqZJpwsJ7w0XHqlIaVcpHw9NM87xxhKWmkC0/MmsWFbLNm6Zh1GApvOWy7dhzc7NaN0+JCkJ3Ng4MXX+Rp/pjC7baKZ6JBl8KZcPAG8SZMUHRx+3LkSPjz70ScZfbnn5xYI1gM9jxErAnonXK4tURM49FHg4ppLFjA/Zgzh+uVYg4DyFxJ7fBSDem9JCaeD+KF8e4arg69V7SiZs0yohUy8Ntv5T02iJhGURH3YedO3kSqUZvJkNrhNa+Fj5Q6dbiwZMQIxT8JR4c+pGiFaAKl0/oR0zh2jB/811/PTi90mlUPpLozl0dqhz95UrIhvS9t23Iyyty5ijZXGqFXLFohknXrgBYt/P/NR0xj14tL0LMnC1Y8+KC+JgrDGtJHjpRDel+GDeOsEQVBvD17OEM1GF7RiokTha/nEJjiYtbZDjYud7vx2UMzMDL9Gkxr+BaSG8vtBKojsdNL7fDSDum92O0chZowIaTcc6iFJ7ZsOS9acd11qlqpLj/+yKvTBoCI45orPrFj7o+NcFFNYp0BpWIaRqdSpdAaAgKR2uGlf8ID/KR76SWeUA4QxMvLAypWDNzEV1/xa29GhqTSTb4EKYc9c4ZTfitU4AV+3G5wEO/WW/lFXmJHUA3J02sth1eDunW5kmXkSL9/3r2bK279sXAhp5XOmWOQUtBNm4Cbbir39YEDXHLQpQvn45SKXXXpwkHOUGIasYDkFXNSO7zQJZnCpV07oEoV9t4y+NOh9xWtmDrVIKmlZ87wa0wZYzdt4if7K68EkaZv3Tq0mEYsYD3hIyfSzDRhPPMMT0fl5JT6uuwcvOaiFVrx7bfAv/5V6qvMTK50mzuXF4UISigxjVhA8vRaqR3eUM4OsOdOngyMHVsqiOc7pNdNtEIL1qwBWrUCwDerESN49mHmzDBevQKJacQKkstcSe3wEs9uBKZKFQ7ipaVxuhyA/Hx+NdFdtEJttm8HrrsOR49yP5o25bCFPdyryFdM48MPNTFVGJLLXEnt8IalXj1+Vx01CkVF7BAHD3Kgetgw4M47RRsYASXFAL/ssqNXL+5Hp05RtOcV0/jySy4DjBWsoJ1Jad8eiI/H3snLkZgoWLRCDdauxSdVu2LMGK7Hb9RIhTa9Yhr//MNBDY9HhUYFU7my5fCRcPasatqI4hgxAsvmncD3X+eJF62IAiKWjP7ieFP16/FtNn4vuPpqvitGIKYhFdYTPjKkz7JTwMefxCHL0xkvV52IGvhbtDkRkZcH9O9HqHL6AF6ZmqDdTbhPn4jENKTDmpaLDKkLZxTgFa1o0tSBRq8+yuW0JUE8o/Dnn5xM0731QfRp9Zv2MwpeMY2uXcPWG5AGy+EjwzBZdmUg4uIXr2jFiRPAhc2u5Yt49GjR5inm2295ouG114AWeas0Xx32HLfeyhk8PXtyTbHRsKL0kWHEIX1hIaeOX3TRed8+91Ts2JGTzBcsEGWeYmbP5sDc3LklFX7BymG1oF49XnZm0CDg++/1268auFycpCAp0jq80Z7weXn8GnrnnedFK8qJVo4cCSxfzhVnElJYCAwdynZPn17ySlVczCdD70R/r5jGCy8An36q776jReIEEsvhVcArWtGvX2nRinKiF95MvFGj+EcSceQIj6JbtOAM4XPJNFu3qjQHFwFeMY0PPohKLdjiPFI7vBGCdr6iFWXSzP2r3FSrxrWwqanSDP22b+c13UaMAO6/v8wfNVodVjFuNw83tm/np73ET08jILXDy/6EDyVaEVDWqkEDXkBtzBiNLQzNxx+zfsfMmZzfX46NGzmHViR2O1cZVaxoLjENDZDW4WUP2ikRrdi/H7j00gANdOrEutMffKCViUHxeDjlf+1aznCtXt3PRvn5HHVUbcH5KDGKmIbdLm3WoLQOL/OQfsECLvgKJVpBFKKwZNQoYOlS4KefVLYwOKdPs0hFjRrs9AH17jduBJo109W2kHjFNLp0kVdMIz6eD7KESO3wsj3hvXptOTnAtGnBRSv++UdBYNsbxBs5kqNmOrBvHyfT9OrFn6D4lMNKRevWvIB89+7cIdmQOPlGWoeXbZmp4mIOank8HDsKJVqhWIf+gguA557TJYi3YQPHHN58s3yA0S/btnG8QUa8YhqPP852yoTE+fTSOnxenjyyT17RikaNOGakJMU0rJViGzZk4fZx46KyMxizZvHM1rx5wJVXKvjB0aM8RAm72F1HvGIaI0bIJaYhccWcxGdTDjUYr2hFly6cHauUsJeGfuAB7rDKghBnz/JCEEePsnaeYo3AdeuAlBRVbdEEGcU0EhOlTa+V2uFFc+DAedGKcFc6/e03BRpvZRk9mi/arVvD/KF/Dh8GevTgV94hQ8K8gYqefw8H2cQ0KleWVubKcvgA/PJLdKIVxcURrPbqcHAQ79ln+ZEcBVu3ckLQmDG8KlbY/P67wrG/JPiKaXiDLaKwnvDhI3I4v3EjXzMzZ0YmWpGfH0X84cILeY3oKIJ4H33EgcX09AhXsdm7F6hVK6J9C8UrpnHNNRzMEyWmkZBgPeHDgUhcBuXy5TwqjEbZJTc3yvXPr7+e3+knTAjrZx4PB/w3buSEoAsuiHD/X39tnOG8P/r0ATp0ECemIbFUtZQOX1AQfGkmrZg5E/jsM45ox8dH3k64a8H75T//4feCxYsVbX7qFC8xfcUVnAEY9uuEL2vXGiNgFwyRYhrWtFx46J1l5xWtOHCARSuichaEtxZ8UMaO5dTbEPPMe/ZwMs1jj3HVXlR4PDw1Ua1alA1JwK23chDm0Uf1FdOwpuXCQ88sO1/RilGj1Ikd5OaWX1oqIrxBvBEjAqaRrl3LD7K33+brO2q2beNXilihbl0esukppmE94cNDL4c/fbq8aIUa5OVF90pQiurV+V0+NbVUlRgRp/fOn8/LPV1+uUr7M9J0nFL0FtOwnvDhceqU9kP6v//2L1oRLd6FJ1SlcWMOQk2cCIBjHE89xTeWKVNUjnd8+y1wyy0qNigJXjGNhQs5oqklcXHSlvBK6fBaP+H37OEn+6RJCnPKw2DfPo1mtB56CCgowN8ZK9CjB3DPPTxKVXX6Mj+fhw6ylMOqjdvNYn07dnBk04RiGlI6vJaFM1u2cD78u+9GOEcdgrBTasPgxwfGoe+zF2F8j91o00aDHWzapFIgQGK8YhqVKvEdU6snsQx54X6Q0uG1itJ/+WVo0Ypo8bcWvBp8+CHw0utOZKy5CnWnPqVNLbis5bBaMHAgD+969tRGTEPS0YOUDn/ihPpD+gUL+BUulGhFtKgyB+9DcTHH7H74gavdqtWpzrXgaWnqP51++im2IvSh6NyZ3+1kFtNQGSkdXs2gna9oxdSp2pfcHjnC2bFqcPIkX49JSRyvczhK/pCczIklkyapsyMAOHaM36NkLofVglat+I6qtpiGpIE7Kc+uWkG74mJg+HDlohXRQsSvbmq8vv32G88iPPlkgLLcLl04TP/RR9HvDDBOOawWNGp0XkxDpUpFWfPpY9bhvaIVjRsrF62IlkOHOIEnWr76iheEePfdEIKxEybwe8qOHdHvNBbn38PBK6bx7LNcSxAtkubTS+nw0Q7pjx/nOvBwRSuiJdoIPRE7+aJFfO2VWrXGH04np9gNG8ZD8mjYs6dkXSkT4xXTmDqVT0I0WE945RQURP6ufeAAB16feSZ80YpoicbhCwo4cFxUxD6seCq8Rg3OuY8miLdvH1fdWJwX01izhk9EpFhPeOVEOvz+5Regf39e8TQS0YpoidThDx3i4pf772e/Dbv/TZoA997Lc46R8PXX5pmOU4K3huH48cjFNCTNp5fS4SOZwvSKVsyYEZlohRr88Uf4Oe0//MBVbs89B9x1VxQ779aNnyjLl4f/27Vr9V0d1gjYbPw+n5QUmZiGpPn0jtCbyM/y5ZwiPXeuikUrERBy4YkyLFzISz3NmQNUqaKCAZMm8fTStdcqTwbweHgOWq25xFijd2+OxHbvzoIJSlNAExOlnNuX8gkfDjNmqCNaES3Hjyu/FoqLWWtu+3aWoVLF2YHzQbynn2aDlLB9u7za87Jw331cg9ytm3IxDUmFLKVzeJa3Cj2m94pWHDyojmhFtOzc6VH0/n78OK/40qABx9pUzw2oWZPvJgMGBH339Hj/ZqDpOI9IYUqvmEbPnsrENEqELIXa7A+SgOzsbEpNTaXGjRuTw1GFgBnkdDqpcePGlJqaStnZ2aW2P3uWKDWVaNo0QQZTaZudTicBXSkurlNAm4mIcnOJ2rcn8vMn9Zk7l2jSpCD2gpxOJ62sWpUG9evn117RBLI52DHWnAMHiNq2Jdq0ye+fvTa3r1uXXrDb5bDZB6EOn5ubSykpKQSAHA4HASCgJgGvl/z/+e9TUlIoNzeXTp0ieuQRomXLZLIZBIwhoK5fm4mIPv+c6D//ITp4UEdjBw+m/dOmBbAX5AJofgB7RRL4GCPgdaErx48TPfAA0cqVAW2+BKC3ZLK5BGEOn5mZSW63288JTSJgvN8T7HJdRk2b7qNvvpHNZhAwhwCnH5vd1LPn95SWRpSfr6+982fPpkV2O10XF+fXaW4D6L9l7HW73ZSVlaWvoT4EP8b+HV+Izfn5RL17E6Wn+7W5MkDpstlMghw+MzOTbDZbgJOYTMDTfr6/ioClBNSjzMxMyWwGAfP9fOcm4G0C+tO8efra7LW3BkAfAZTgx+ZnAUr2873NZpP0GAf+CLG5uJi23X8/DfdnD0ALJbRZd4fftWsXud3uIAeiBQH9/dwElhBwKQEgt9ut65AotM0uAmaX+e5iAj4g4HbdbS5r740lTxtbGbsXAmQP0Cf5jnHojyibBwD0JkBxZexZJKHNujt8SkpKiOFaWwIe9vl3KwLeJ6DKue8cDgelpKRIZHN9Akb5/PvGkhtUbSE2+7P3EYCG+fw7EaBZQS5E+Y5x6I9Imx8CaC5AFcN0eL1t1tXhN2/erODEPURAx5L/70zA9JInaPlt9Yh4KrO5Q4mtXpvTCagsxOZg9r4CUJuS/28LUC8FF6Q8x1j5R5TNtwO0FKBqYTi8njYTEek6D5+RkQGHI1RyXwKAEwAGArgBwOMAyqc1OhwOpKenq25jWZTZfC2AXwFMAFAHQB8A5ZMu9LA5mL3DSyxLAtAKwJoQbcl1jJUh0uY1AEYByAQQTimSXjYDOqfWrlu3DkUhF0hMBNADwA8Angm4VVFREdavX6+idf5RZnMDAE0AfAAg8NJQetgczN5CAE8CmF7y7z0h2pLrGCtDtM1bAfQHMBXKnUsvmwHARqSf2p7L5UJhYWGIrb4FsB7A0yHbczqdOKvxCqHKbP4LQE8An4RsT2ubldjbA8CzAJRk28tzjJUjg80XANgN4CrweDUUetgM6Jha6/F4FJ7UQQDyFLVZWFioaeqicpubgG9QoUvltLRZqb33AlCqci3PMVaODDYXgIf4SivitbbZi24Ob7fb4VSU8L4JgDJtdKfTCbuGoovKbf4TQF8AswHUDLqlljYrsfdmAH8j9HDeizzHWDky2HwvlIz3zqO1zV50DdrVr19fwVYEIBcc/ApOAx2qvJTZDAC/AXgCHLIJvDC71jaHsnckgIlhtCfXMVaGDDZ3ABCOvKgeNgM6O3yLFi0URmMXA+gUdAuHw4HmzZurYlcwlNsMADsBDAYwHxx8LI0eNgez924AW8ARByXIeYyDI4PNLgBVId9xBgBd5+Gzs7MVzks6CFghxdylcpt9P00JWElAvO42B7LXBtAqcMJNOH2R9xjLa/O9AA2U0GYiKTPtvJ9ZBFzu92/GyAJrTsBHBFTQ3WZ/9j6E0oUyoT7GOMZy2jwdoFqS2qy7w+fm5irMmb6fgFS/f9M7/1i5zWU/dxKwiACnrjaXtdcB0BcAucOw3TjHWC6b4wD6RGKbhVTLZWVlKaiKqlDyhCz9vc1mE1JWqMxmf592BGTR3Lnzhdn7OJSl0Rr3GMtjcwpAIyS2WcJ6eN9PFgEX8lPKwLXaAwaso549iYqL9be3qstFq222cpVcwew14jGWxeY3AKonsc0SKt74frqQ3d6XAFDLli0Np8bia3NGBlG/fkQej772/j1kCD1bv37Y9ook0mMs3OYWLWiV5DZLpWmXnJxcSrvs+utvo6uv/kG4Dpg/AtmcnJwcULtsyhSiQYN0dPqjR4nuuYfI44nIXtEYzuZNm+hgr15S26xrLr1SPB7PuayjBx7gddHVXi9ebXxtDsarrwJHj6q70nNAhg0D2rTxu6qMUntlQnqbR4zgC/amm859JZvN8ljig+8Buu8+YOVKgcYoROlJHTyY14177jmNDdq/n9e+CrCElEwXoVKktpkI2LwZuPHGUl/LZrNc1vihfXv1lkCXhZEjeVWoN97QcCcTJgCjRmm4A4tS7NgB1K+vz7rkUSC9w9eowUt05eeLtkQ9bDZe93HPHmDaNA12sGsXr3rSpIkGjVv4ZfFioFPwdHAZkN7hAV5k8fPPRVuhLjYb8PrrwPff81rwqjJuHK8+Y6Ef69cDeuXDR4EhHL5TJ2DpUtFWqI/dDrz3Hq+N9+GHKjW6eTMvVlcndLWhhUrs3QtccYUG64apjyEc/oorgAMHAJVUkKQiLo4XJV24EFixQoUGJ07kIIGFfixZwtF5A2AIhweAlBRexjwWcTp5yegZM4DVq6NoaPVq4LrrgEsvVc02CwV88QXQurVoKxRhGId/4AGOi8QqbjeQmcnv9Rs2RNAAEfDyy8DQoarbZhGEQ4eAatX4BBoAwzh83bq8Sq9sq++qSaVKwPz5PKO2eXOYP168mJ8y1appYptFAD76COjYUbQVijGMwwPAzTdzVDuWSUgA3n8fGD4c2LpV4Y+KioApU4DUVE1ts/DDJ59wNqNBMJTDd+oU28N6L1Wr8pN+0CBg504FP8jIADp35iGChX4cOwY4HEDlyqItUYyhHP6GG4CcHH5djXWqV+f5+f79OUEnIGfO8N2hVy/dbLMo4eOPgXbtRFsRFoZyeJsNuP564OefRVuiD5dcwg/vPn2AP/8MsNE77wD9+nGo30Jfli8H7r9ftBVhYSiHB2I/Wl+WK68Epk8HevTggHApjh3jFMR//1uEaeYmL4/zvS8ILEkuI4Zz+GbNIpy2MjDXXAO8/TbQvTtw5IjPH15+GRgyhFP2LPRl1SrgnntEWxE2hrtS4uKAq64CfvtNtCX6Ur8+8MorQLduwPHjAA4e5DD+nXeKNs2cLF1qqOk4L4ZzeICH9UuWiLZCf5KTgfHjga5dgcIxE7n8VfJyzJjk7Fng8GFDZjQa0uFbtQK+/FK0FWK45RZg7CO/4tuVR5F/fVPR5piTNWsCCovIjiEd3uUCLryQR7Vm5OZPxsE+dgy6d+eHjYXOGKT23R+GdHiAX59isWQ2JFu2ABUqoHnfeujZE3j00disIpSW4mJOjLjmGtGWRIRhHf6eezhQajrGjwdGjwbA8l8dOgCPPRbbNQZSsXEj8K9/ibYiYgzr8PHxXKB09KhoS3Tk66/5yXL55ee+6tyZS4dTU82RgSicxYsNU/vuD8M6PMBZjR9/LNoKnSACXngBeOaZcn969FGgYUNWxLWcXkOIeCq0YUPRlkSM5fBGYdky1ky78EK/f37iCZ4lKhntW2jBli08N2rgqVBDO3y1ahylPn1atCUaU1wMTJ7M5XNBGDKEi7eef14fs0yHgaSsAmFohweAe+8FPv1UtBUaM28eX2jx8SE3HT0a+Ocf4M03dbDLbHz3HYsyGBjDO3yHDjE+PZefz4J3ffsq2txmA158Edi9mzXyLFRi505WAjZ43YKxrQdw8cUcqS8oEG2JRrz3Hju7y6X4JzYbP+G/+4518ixUYMkSwybb+GJ4hweAO+6I0VTbEydYu7pz57B/6tW8//RTc5UTa8bXX/P8p8GJCYfv1ClGi2leew146qmIh5FxccCsWayRZ4QFOaXljz9YjSQGREZiwuFr1wb27eNgdszw118sXRulQKLTCcydyyIaX32lkm1mY+nSmBjOAzHi8ABw220xJowxaRLw7LOqzPl6Ne9ffRX45hsVbDMbn33GCxzGADHj8DElfbV3L5cCNmumWpNezfvx44HsbNWajX3+/ptVaStUEG2JKsSMw9evD2zfHiOppRqt/pqQwE4/bBiwbZvqzccmy5fz3G+MEDMOb7MBN97IMtaGZutW7kyDBpo0X60aO/3AgbyMvEUIVqwA2rYVbYVqxIzDAzGyUMX48Zqv7V6jBifv9evHbw8WAThxgoeMiYmiLVGNmHL4m24y+FJUGzZw6WutWprv6pJLgPR0oHdvYP9+zXdnTFauBO67T7QVqhJTDm+3A/XqATt2iLYkAoiA554DRozQbZe1agHTprHm/V9/6bZb47BsGauMxBAx5fCAgRVtV67kwowaNXTdbVISF+J162YyMZFQ5OcDJ0/qfj60JuYcvnlzYO1a0VaEiccDvPEGZ9UJoH59XtOia1d+bbUAr+gTI3PvvsScwzscwGWXAb//LtqSMJg/n9coS0gQZsINN/BsYNeuJtAXUEKMFMuUJeYcHuBhvWFKZs+eBWbOBB5/XLQluPVWYOhQHt7n54u2RiBFRZz4dMUVoi1RnZh0+DvuAL74QrQVCpk2jUXp3G7RlgAAWrZkuaxHHgEKC0VbI4i1a/lAxCAx6fAVKvDUabnVVmXj1CkeinTvLtqSUtxzD/Dww7zkfEwVJCnFwAtNhCImHR7gbMhly0RbEYI33uCUt7g40ZaUo0MHnoI2nea9x8MpiHXrirZEE2LW4e+9F/jkE9FWBOHwYS5da9dOtCUB6dqVqxDT0mKkRkEJ33/PC/jFKDHr8AkJnIhz/LhoSwLw/PPA8OHSSx737s3Tdk8/bRKnN/hCE6GIWYcHeEi6YoVoK/ywbx/PG7ZoIdoSRTz5JFCzJjB2rGhLNIaIq6+Sk0Vbohkx7fD33y/pe/yECYZbMWLo0POKuDHLtm3A9ddLP+qKhph2+OrVgbw84MwZ0Zb4sH07z703aiTakrAZMwY4coRTcWOSGFhoIhQx7fAATzF99ploK3zQofxVK7xP+J07WRwz5vjmG1VVhmQk5h2+Y0eJimm++46LMa6+WrQlEWOzAW+9xZW88+eLtkZFfv2VywclnCJVk5h3+Msu4wQc4VljRMDEicDIkYINiR67nRMEV6yQ6GYaLSYYzgMmcHgAaNWK1xEQymefcfT3oosEG6IOcXEsoDF/foys7ffVV3yhxDimcHjh0lceD2tEDxki0Aj1cTp52bv33gPWrBFtTRQcPMjLcIexnJdRcYg2QA/q1OFXNI9H0FqAH3zAC0pUqSJg59pSoQKQlQU8+CDX/xgy5hVDC02EwhRPeIBLPzduFLDjwkJg6lQuQYtRvJr3Y8caVDX40095OscEmMbhhS1UMXMml57FyEIGgUhM5DXshg0Dfv5ZtDVhcPQoD00qVRJtiS6YxuEbNQJ++knnfPC8PGDRIlaJNAHVqvGSVgMGALm5oq1RyMcfx5xQZTBM4/A2G9C4MTu9brz1FieiO0wRKgHAOfdz5rCAjyFkxpYvl7piUW1M4/CAztH6o0c5dN2xo047lIfLLuNMvF69gAMHRFsThFOnOMZStapoS3TDVA6va+DuxRf5hTaGCzGCcdVVHKt85BFej1FKPv2UhRNMhKkc3m4HrrlGh/fL/ftZNcUEiRzBqFOH32q6dQP++Ue0NX746KOYWihSCaZyeECnhSomTABGjdJ4J8agQQMe7EineV9QwHehiy8WbYmumM7hW7bUOCts505+N2zSRMOdGIsmTbhAsGtXnriQgi+/BFq3Fm2F7pjO4Z1OjiRrtoCigctftaRZM5bJ6taNH67CidGFJkJhOocH+DxrslDF5s2cPlunjgaNG5/bb+clqoVr3hcXs8xY7doCjRCDKR3+7ruBVas0aDhGyl+1pE0bHtr37i1Q837DBl6E0ISY0uErVuRMysOHVWx09WrguuuASy9VsdHYpFMnoG1bTs4RonkfwwtNhMKUDg9wNuXy5So1RgS89BIrPVooomtXfq8fOFDndGci1hWsX1/HncqDaR1eVQnrxYt5Qbtq1VRq0Bz06QNcey3nJ+nm9Dk5wI03mjYhyrQOX6UKDydPnoyyoaIiYMoUIDVVFbvMRloaa0+MG6fTDmN8oYlQmNbhAZWWo8rIADp3Nk15pRYMG8Y335df1mFn338P3HSTDjuSE1M7fIcOnF0ZMWfOsPJD796q2WRWxo1jsdF33tFwJzt2APXqmXY4D5jc4WvW5LXn8vMjbOCdd3hi2UTlr1phs/ETfvt2FsfUBJMo0wbD1A4PAHfdxTNqYXPsGPD558C//622SabFZuNVbdavZ/Uc1Vm3zrTz715M7/AdO0ZYI//yy6xCK0QVM3ax27msdvnyKF+3yvL771yob/LRmOmv1lq1OK++qCiMHx08yAsP3nWXZnaZGYeDh/Vz56qYEWnS3PmymN7hASAlhYeRirFSaDXH5QLmzeMZT1UWEVm9mnMlTI7l8AhT0Xb3bpavatpUU5sszmvev/RSlEpFhw6xrG6MKwcrwXJ48EzNL78ozOseN84qf9WR+Hie+RwzBtiyJcJGli0zpbagPyyHL6FpU65uDcqWLVx5U6+eHiZZlJCYyE4/ZAhP24XNypWm064LhOXwJZQd1nv8Pe7HjwdGj9bPKItzXHABD+/T0vitKhTnzt/x47zyZeXK2hpoECyHP0cOsrJ2oHHjZLhcLsTFxcHlciE5ORlpaWnYNX06K2BefrloQ02LV/P+scfKa97n5OQgLS0Nycmlz9/wRo0w79gx5BhyDSwNIJOTm5tLKSkpBIBstjcIqE8ASn0ccXG0EqB2zZpRbm6uaJNNz549RK1aER04UPr8ORyOcuduPkA14+IIAKWkpJj+/Jna4TMzM8ntdvtcKC0IGFnuomkP0PCSC8rtdlNWVpZo003Pzp1EDRocJJfrMr+ODoAqAvSR743bOn/mdfjMzEyy2WxlLhI7AZ+U+s4O0OcAVfL5zmazUWZmpugumJrMzEwCGhKwioCqfh2+A0BP+PnezOfPlA6/a9cucrvdfi8SYCoBV537d0+A+vvZzu12m354KIrS569JyU26crlzlA7QpX7PsXnPnymDdn379kVxQAXFxQA4BdMNoAeAGX62Ki4uRp8+fbQx0CIopc9fDoDxAOYDqHhuGweAmgACLW1n1vNnI9JVUUw42dnZuCmoAIITwBIA7TAQwCEAwQq3srOz0cRadEI3Ap+/VgDSAHQBcBZ3ArgBQChNDbOdP9M94TMyMuAIWjFVCOAoElAD9wFYEGRLh8OBdM2Kty38Efj8fQVgGoA5ABx4AHzbDoYZz5/pHH7dunUoClkatxSDcQVeA7/wBaKoqAjrw6q6sYiW4OfvUwALYMN0XA0gVH6OGc+f6Yb0LpcLhSGWPYlDRUzH9eiNTSHbczqdOHv2rFrmWYRAyfmrg3boiAN4GaGTbcx2/kzl8B6PB3Fxcaq3W1xcDLslhKE51vmLHnP0sgS73Q6n06lqm06n0zQXi2is8xc95ulpCfVVXnGkQYMGqrZnERzr/EWH6Ry+RYsWIaL0ynE4HGhuclFEvbHOX3SYzuF79eqlIEqvjKKiIvTq1UuVtiyUYZ2/6DCdwzdp0gQpKSlRPyUcDgdSUlJMlbQhA9b5iw5TRem97N69Gw0bNkRBQUHEbbjdbmzbtg1JSUkqWmahBOv8RY7pnvAAkJSUhPT0dNgiXHLIZrMhPT3ddBeLLFjnLwrE1e2Ip3w9fPCPVU8tF9b5Cx9TOzxRaMUU3+9btmxpypJKmbHOX3iY8h3eHzk5OUhPT8f69evx888/o7CwEE6nEw0aNEDz5s3Rq1cv0wV4jIR1/pRhObyFhYkwZdDOwsKsWA5vYWEiLIe3sDARlsNbWJgIy+EtLEyE5fAWFibCcngLCxNhObyFhYn4f6+G0FNZkVV6AAAAAElFTkSuQmCC\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.decoder.plot(metric='act')" - ] - }, - { - "cell_type": "markdown", - "id": "fe7e145c", - "metadata": {}, - "source": [ - "Case 3: MLP encoder, KAN decoder" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "id": "97fedb70", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "checkpoint directory created: ./model\n", - "saving model version 0.0\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "| train_loss: 3.29e-02 | test_loss: 7.09e-02 | reg: 4.95e+01 | : 100%|█| 100/100 [00:22<00:00, 4.43" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "saving model version 0.1\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "\n" - ] - } - ], - "source": [ - "enc_type = 'mlp' # 'kan' or 'mlp'\n", - "dec_type = 'kan' # 'kan' or 'mlp'\n", - "\n", - "model = AutoEncoder(width_enc=[4,5,2], width_dec=[2,5,4], seed=1, enc_type=enc_type, dec_type=dec_type)\n", - "model.fit(dataset, lamb=1e-3, steps=100);" - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "id": "028bdd48", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", 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SW5WIxWIwDAOhUIhWrVrB2toaNjY2aNWqFTfnBQUFOHjwIAIDA/Ho0SN06tQJfn5+WLBgAVxcXKo9D8MwiImJgZ+fH1JTU+ucg+DgYHTu3Bn37t1Dy5Ytq7QnlUpx+vRpBAUF4erVq2jdujVmzZoFPz8/9OvXr/4GrA6KioqqXYmwuSQmJibcPcXeVx4eHnB0dIRcLodIJEJZWRmICCYmJtwcWFtbo2XLlpwJKzMzE8HBwQgKCkJaWhp69OgBf39/zJ49G/b29tX27datW9ixYweioqJQUFCg0Rz06dMH165dQ4sWLRpmAOuZZqNcVCoVoqKioFKp4ODggM2bN+Po0aMwNTWFp6cnXFxcoFKpkJqaioSEBNjZ2WHu3Ln44Ycf4O3tjXPnzqnZRiujVCqRk5OD7OxsiMViWFhYwMnJCU5OTlWiyAoLCxEREcGZ0u7fvw+FQgFra2t4eXlh2LBh8PHxwcCBAyESiThFU1HpFBUVAXhhDvHw8OAUDqt0XF1d60XpEBHu3LmDwMBA/PHHHygrK8PLL78Mf39//Oc//6nVj5Sbm4s33ngD9vb22Lp1K3744Yc652Dy5MnYunUr5s2bhz179tT64JfL5cjNzUV2djakUimsrKzg5OSE9u3bVzE1ZmdnqymbBw8egGEY2NnZqfltBg4cWG++MfYBxn7KysoAvDCZ2tjYqD3IKl43wzC4du0aAgICcOLECRAR3njjDSxcuBBjx46tdd6JCAqFAkKhELm5uVi3bl2dczBmzBjs2bMH69atwxdffFHrNSUnJ2Pfvn0IDg5GdnY2Bg4cCD8/P7z99tuwsbExzMBVori4mLs/Kn6ys7MBqPs9K37c3d1BRGrKXCKRAHjxMseauKytrWFlZaU2BwqFAhcuXEBQUBAuXLgAS0tLTJ8+Hf7+/vD29q5VTuPj4/Hzzz9j5MiRGDlyJNavX1/nHPTr1w8nTpxAcHAw3nnnnXoZx4amWSgXIsKjR49QUlKCAQMGoGXLllCpVIiLi8O5c+cQGRmJvLw8mJmZwdXVFWPGjMGECRPg4OCAy5cvY+LEiVi4cCF+/fVXjd5qS0tLkZ2djdzcXKhUKrRt2xbOzs6ws7NTc9ixSCQS3L9/n1vZhIWFQSQSwczMDP379+eUjbe3N+zs7LhwR1bRVPywYY2Wlpbw8PCostLp0qVLtX2oi8LCQhw6dAgBAQGIiYmBi4sL94bcqVOnOo8vLy/HjBkzUFBQgFOnTqF9+/Yaz8H+/fsxb948bNq0CatWrdKov8XFxcjJycHz588BAHZ2dnBycqqxjpNIJEJ4eDinbFjfmaWlJby8vLiVjY+Pj84PSdZfwjrfZTIZgBdzxSoS9kFWHVlZWdi3bx+CgoKQnJzMvSG/8847cHBwqPP8RMRlg7PKVtM5WLduHdauXYvDhw9j5syZdZ5LqVTi4sWLCAwM5B6+06ZNg5+fH3x8fHRaHZaWllZRII8fP0ZmZiaAFw5wNze3KkrEw8MDFhYWICI1n5VYLOY242L9JaxCsbCwqLYPT58+xd69exEcHIycnBwMGjQI/v7+eOuttzSSi5ycHGzevBmurq5YtmwZhEKhRnNgb2+Pd999FwcPHsQ///yDUaNGaT1+jY1moVySkpKQlZWF3r17VxsfTkRQqVQQCATVvvUFBATg3XffxU8//YQVK1ZofF6VSoW8vDxkZ2ejpKQEZmZmcHR0hLOzc61LW1bYWEUTGhrK3UDu7u6cshk2bBg6d+7M3aj0f5Fs1a102Bh7Kysr9OjRo4rS6dSpUxWlwzAMrl+/jsDAQPz5559QqVR444034O/vj/Hjx2u8MlKpVFi8eDFCQ0Nx/Phx9OzZs8pv6pqDL7/8EuvXr8exY8cwbdo0jc4LvHjDzMvLQ05ODsrKymBhYQFHR0c4OjrW+ABhj4uKilJb3Tx//hxCoRB9+/ZVW9106NCh2usRi8VqKxP2wd6yZUvOxGVtbV1rAIdSqcSFCxcQEBCA8+fPw9zcHDNmzMDChQsxbNgwrR7SbEKeqalptcfVNgdEhLlz5+LYsWO4cuUKhg0bpvF5s7KyEBwcjL179yI1NRUeHh7w8/PDnDlzqjUbsav1yookIyMDwIucqcpKxNPTEz169FCzEjAMA7FYzM2DWCzmro+dA1aZ1GaVkEqlOHnyJIKCgnDt2jXY2trqZPYTiUTYvHkzzM3N8emnn1b7ElHbHMjlckyaNAkPHz5EaGhokw+gaPLKJTMzE0lJSejevbtaQpK2rFq1Ct9//z1OnTqF119/Xevjy8rKkJ2djZycHCgUCrRu3RrOzs6wt7fX6CGdnp6utrJ5/PgxAMDR0ZHz2/j4+KB3795VbhQiQmZmZhWlExcXB5FIBABo0aIFevbsCU9PT3Ts2BHp6em4du2amg35nXfe4aKRtGHDhg0IDAxEQEAAfH19tT4eePGgmDVrFk6fPo3r169j6NChWrchEomQk5ODvLw8bkXp6OgIOzu7Oh/SRIQnT56oKZsnT54AeBGJOGLECAwaNAh9+vRB+/btUV5ezvlLKq5KKvpLaoN9Q967dy+ys7O5N+SZM2dyviRtUCqVYBgGZmZmOvuUZDIZxo0bh4SEBISHh6Nr165aHc+a84KCgnDq1CkQEUaMGIG+ffuCiDjZTE9PB/BCibi6ulZZifTo0aPaB7NSqVRblVT0l1Q0cVX0l9TGo0ePEBgYiEOHDqGoqAijR4+Gn58fJk+eXOPqsiYUCgW2bduGvLw8fPbZZ7Czs9PqeJaioiIMHz4cDMMgNDS0SSdTNmnlUlhYiJiYGHTs2BFubm56tcUwDKZPn46LFy/i5s2bGDhwoM7t5Ofncw5oU1NTtG/fHk5OTlqFyRYVFSEyMpLz29y7dw9yuRytWrWCl5cXp2wGDx5c4yqJiJCRkYHHjx8jJiYG//zzD+7du8fF77NveL179+ZWOOxqx8XFRaOH1OHDh7F69Wp89dVXWLBggcbXVx0SiQS+vr5ISUlBZGSkRua46lCpVHj+/DlycnJQWloKMzMzbg40fWjI5XIkJSXh2rVr3PgnJiZCpVLB1tYWQ4YMwahRozBmzBgMHjy41lUSi1QqxalTp7gw7tatW2POnDnw8/PDgAEDdLpW9npVKhVMTU11MolWJD8/H97e3jA3N0doaGi1QRaVKSsrQ1xcnJop6+HDh3j27Bn3G1NTU3Tt2hVjx46Ft7c3evXqhZ49e9a6wpfJZNWGZbP+ElahaOMAF4lECAkJQWBgIO7cuYP27dtj7ty5XBi3LhARgoKC8ODBA3z00UdwdXXVqR2WpKQkDBs2DL1798bFixebbL5ck1UuZWVliIqKgq2tLXr16mWQCKDy8nKMHj0aWVlZiIyMrNYcog1SqRTZ2dnIzs6GTCZDq1at4OzszOXGaNtWVFQUZ0YLDw9HSUkJTE1N0a9fPzW/TUVTREpKCveGnJmZiQEDBsDPzw8jR46sstqJi4vjSn1bW1tzK52KSqdiCfGbN29i/vz5mD17Nr755huDzEFubi6Xr3Lr1i29ncRlZWXIyclBbm4ulEolWrduDUdHR9jb26s9iCUSCecrqewvYc1bAoEA0dHR3MomLCwMZWVlsLS0xNChQzkzmo+Pj9pDmX1DPnDgAAoLCzFq1Cj4+/tj6tSpekcGMQwDpVIJExMTgwV4JCQkwNvbG4MHD8b58+c5s55EIlFTIuwnNTUV7GOkc+fOVcxZYrEYR44cQUhICCQSCV5++eUqCZpEhPLycm5VIhKJODNfixYt1CK5tH3YEhEiIyMRGBjI9cGQSaJ//fUX/vrrL7z77rsYNGiQXm2x3Lx5ExMmTMDbb7+NoKAgo0U46kOTVC5yuRz379/nHOKGjJrKzs7G0KFDYW9vjxs3bqBVq1Z6t0lEKCwsRFZWFgoKCiAQCODg4MA5oHWBYRjEx8er+W3YN8Vu3brBwcGBK6RnY2ODOXPmwN/fv9YVGcMwSE9PV/PlxMbGIj4+nouysbGxgaenJ5ydnXHjxg307t0bAQEB6NSpk8FugNjYWAwbNgzDhw/HmTNntFbE1cEwDAoKCrgVpVKphJWVFaysrLgHdGVbfV3+EoVCoaZsbt26hdzcXAgEAvTq1Qv29vbIyMjAkydP0L59e8yfPx8LFiyAh4eH3tfDXpNSqYRQKDTIGLFIpVIcOHAAS5YsQZ8+feDi4oLHjx8jOTmZUyIuLi5VzFk9e/asdXUuEolw7NgxBAUFITIyEg4ODpg8eTJee+012NnZgWEYCAQCTpG0atWqTn9JbeTn5+Pw4cMIDAzE48eP0blzZyxYsABz586tMYxbWyIjIxEUFIQ33ngDkyZNMkibLIcOHcLcuXOxYcMGfPbZZwZtuyFocsqFYRg8ePAAMpkMAwcO1MgcoS3R0dEYMWIEfH19ceLECYMqL7lczq1mJBIJWrRoAScnJzg6Ouq9/L106RK2bduGy5cvQyqVwsTEBGZmZnBycuJWNj4+Pujbt69WNyzDMEhNTeUUTlRUFP766y9IJBJOodja2la70nF0dNRJ6fzzzz945ZVXsGTJEuzYsUPr4yuiVCq5t+HS0lIUFhYiPz8fRUVFMDMzQ7t27dC1a1e4urrqNQcMw+DEiRP45ZdfEBoaqlbxtnPnzmpBAp6ennqZsCqGHOv68JVKpVzeVcVPcnIyGIbhfufu7o5XX31VbTWi7YpSoVCoBUA8fPgQZ8+exd9//w2RSAQvLy8sWLAAb7/9tl6rOYZhcPXqVTW/z5tvvgk/Pz/4+vrqbTasSFJSErZt24YhQ4Zg7ty59bK6+Prrr7lwcm0CXRoDTU65sDV/BgwYYJBVRU2cO3cOr7/+Oj788EP8+OOPBm+f/q96bW0JmprAJjoGBgYiLCxMLdHRyckJERER3Mrm3r17kMlkXNkUVtkMGTKk2uS56pBKpZg5cyaePXuGEydOQKFQVFnpJCQkcGalNm3aqEWtsf92cHCo8xp///13LF68GD///DM++OADjfoHVLXVs6Y+MzMztSguKysrFBUVIScnp8YETU0oLCzEgQMHqiQ6zp8/H5aWlrh9+za3srl//z6USiVsbW0xfPhwTtkMGTJEqxclVnFpYtKRyWRITEysokSSkpI4JeLs7FzFnOXp6YnNmzdj8+bNOHHiBN58802N+yeVStVMXBXL2FQ0cQkEAoMkaGZmZmL//v0ICgpCamqqRomO+vD8+XNs2rQJHTp0wPLlyw26cqwIEWHOnDk4deoUrly5Ai8vr3o5T33QpJRLcnIynj17hl69eqFdu3b1fr4dO3Zg+fLl+O2337B48eJ6O49CoUBubi6ysrK4cNqaEjSBFwJ39+5dBAQEcImOEyZMwMKFC2tNdJTJZHjw4AGnbMLCwlBcXAwTExP069dPLSqturwKhmGwfPly/O9//0NISEiNN79SqURKSkoVpZOYmMjlHdjZ2VW70ql83o8//hjbtm3DmTNn8Oqrr1Z7PtZWz65MqsttsLa2rnXLBG0SNNmxuHbtGgIDA3HixAkwDMOFcY8bN67G1W5ZWRkiIyNx69Yt3Lx5E2FhYVxS7pAhQzhlM2zYMLRp06baNhQKBYioSmSYXC7HkydPqiiRJ0+eQKVSAXgRfVjZnOXp6VnjuRiGwYwZM3DhwgXcuHGjWp9CRX8Jq1Aq+ksqRnLVtjJ8+vQpl6DJ5pj4+fnVmGPChnFXzrVZuHBhnYmO+lBeXo7NmzeDiLBq1SqNX8x0RSqVYty4cXj69CnCwsLQpUuXej2foWgyyiUnJwcJCQlwc3NDx44dG+y8H3zwAX777TecP38eEyZMqPfz1ZagWVxcjEOHDiEwMBAPHz7kEh3nz5+Pzp07a30uhmGQmJjIKZvQ0FAuTNTNzY3LtfHx8YGbmxu2bt2Kn3/+Gb/++iteeeUVrc+nVCrx9OlTtaRQVumwD6N27dqprXQ8PDywefNm7u2/T58+KCsr45zvYrFYJ39JbdSWoJmdna2W6Ojh4YGFCxdqnOhY3Zg8fPiQW9ncvHkTOTk5AIDevXtzymbkyJHo1KkTlEolZDIZZ6asrETYXJv27dtzY1jxo0toa3l5OV566SVkZGQgMjISTk5OanvIVCxjUzm/RBeTcl0JmikpKQgKCsL+/fvVwrhnzJihUxi3tn3bsWMHMjIysGrVKp3mXBeeP38OHx8ftGjRAjdv3qz36zQETUK5FBcX4+HDh3B0dIS7u3uDnlupVOL111/H7du3ERoail69ejXIedkEzaysLNy4cQMXLlzA9evXuTfkhQsXapXoqCmZmZkIDw/nAgViYmJARGjRogXEYjFeffVVrFq1Cn379jVYdWeFQoGnT59WWelUfFgCLzK0X375ZXh6esLNzY1zNrMPMkPa09l+5eXlISMjA1euXMGFCxcQGhoKc3NzvPXWW/D398fw4cMN+oZMREhJScGtW7dw/fp1XLt2jdtcysrKCmZmZtzDHADs7e2rXYkYcmWvUCiQlJSE8ePHo1WrVvj9999hZWXFlf2vmF9i6NUCm6AZFBSElJQUWFlZoby8nAvj9vf3b7D6ZkSEgwcPIjw8HP/9738b/Fn0+PFjjBgxAl5eXjh79my9meIMRaNXLuXl5YiKioK1tTX69OljlJC80tJSjBgxAqWlpYiIiNAp0VBbsrOzuZvqyZMncHV1xcSJEzF27Fi4urpqlaCpD6Wlpdi/fz/Wrl2L1q1bQywWc+XuhwwZwpnRhg4dahAfWEV/SUFBAbdzX1xcHI4fP879rqKZpzrzWk1mHm1ITk5GUFCQ2n41EydOhK+vLzp16qRxgmZdqFQqTrlW/CQkJHAmvlatWqF169ZQKBTIz88HwzCwsbFR89sMHTrUILulsv4SdlXC+kvS09OxYMECDBs2DH/++We9+jxZ2DDugwcPorCwEPb29pwp9/XXX4e/v7/BHfU18c8//+DEiROYN28efHx86v181XH58mVMmjQJ7777Ln755ZdGHaLcqJWLQqHA/fv3IRQKMWDAAKNq6vT0dAwdOhSurq64cuWK1hm8mqBUKvH3338jICAAf/31F8zMzDB9+nQsXLgQI0aMABEhPz8fWVlZKCoq0jlBUxtSU1Px5ptvokePHjhw4ACICNHR0ZzPJiwsDIWFhVzZlIp+m7o2PKpYC4o1c1X2l7DOdwsLC0RFRWHEiBEYP3481q1bh7i4OLWVztOnTzml4+TkVG0gQV3mhOoSHWfPng0/Pz8MHDiQS9DMzs7m6sNpmqCpUqmQnJxcpXZWfHy8WgBETT4RExMTmJqaory8HHfu3MHNmzdx69YthIaGQiQSwdzcHIMHD1bz29SVKU7/t01yxUgudrXI+kvY1Ym5uTkuXLiA1157DcuXL8fWrVtrbVtX2JDlgIAA3Llzh9tTxs/PD927d1cLMY6Li0OnTp2wYMECzJ8/X+/ctJqIiorC77//jkmTJuGNN96ol3NoSkBAABYtWoStW7di+fLlRu1LbTRa5cIwDB4+fIjy8nIMHDiwUexff+fOHYwePRqvv/46Dh8+bLC3pcqJjv3798fChQsxa9asGvNgJBIJV6VZ3wTNmiguLsbkyZMBACdPnqyxJP6TJ084ZRMaGorU1FQAL0qKVwyBdnNzU7PVi0Qirs5SxQgia2vrGq/hzJkzePPNN/Hpp59i8+bNat9VjIqqqHQqhtZ26NChitLp2bMn0tPTOTu+pomONSVo2tnZIS0trcpKJD4+nlsFsMm/lT/t27dXextlQ44FAkGNZkiVSoWYmBg1vw1b1t3T01MtBNrFxYWbA7YuV8Wy/xVzTGpaFe/cuRPLli3Dzp07sXTp0mp/oy3VJTqyyZavvvpqtdfOHhMUFKR2jL+/PyZNmmQws21qaip+/PFH9O3bFwsXLmwUq4WVK1fip59+wqlTp/Daa68ZuzvVo932Lw3H48eP6caNG1RSUmLsrqhx/PhxAkBffPGFXu1IpVI6evQojR8/ngQCAbVu3ZqWLl1K9+7d06odhmEoPz+fHj58SFevXqVr167R48ePqaioSK/+yeVyeuutt6hfv36UkpKi1bFZWVl04sQJ+vjjj8nb25usra2pRYsW5OjoSOPGjaOPPvqIQkJCKDk5mUpKSqpstFQXP/30EwGgPXv2aPR7iURCDx48oEOHDtGaNWto8uTJ5O7uTmZmZmRiYkICgYDbE33IkCG0ceNGioiIoNLS0lrbValU9PTpUzp9+jR98cUX9Nprr1H37t3J3Nyc25jKxsaGfHx8aOHChbR161b6559/KDMzkxiG0ajvcrm8ymZgdcEwDKWkpND+/fvJ39+fPDw8uP7Y29vTuHHjaOXKlXTq1CnKyMggkUikcX9Yli9fTiYmJnThwgWtjqtMfn4+/fzzz9SvXz8yNTUlNzc3Wr9+PaWnp2vVTmlpKQUEBNCwYcPIzMyMOnbsSKtXr6YnT57o1b+CggL69NNPadOmTVrPQ32iVCpp8uTJZG1tTVFRUcbuTrU0ypVLWloaUlNT4enpWS8x6vqyefNmfPbZZwgODsbcuXO1Ovbx48cIDAzE/v37UVBQgBEjRsDf3x/Tpk3TO6TRUAmaRISVK1fi5MmTOHz4sMZFJGUymVoJFTarn40Si4uLw4MHD3D//n1IJBJYWVlh8ODB3MrGy8tLI/MeEWHp0qUICAjAxYsXMXbsWK2ujd2v5vDhwygrK0Pfvn3h5uYGpVKJuLg4tXImnTp1Qs+ePdGxY0e0aNECSqUS+fn5SExMrFIuh92MysXFBe3atUPHjh3V/GParih1KUYpkUjUTFysuU0ikSAxMREPHz7E3bt3ce/ePW6PoWHDhqn5bTRJYmQraN+4cQOhoaHo3bu3xtdVscDlyZMnuf1q/Pz8MHbsWL0tAjExMdi7dy9XkJJdhb755ptambOlUim+//57SCQSfPbZZ/W2X42ulJWV4aWXXkJubi7Cw8P1KtxbHzQ65ZKXl4e4uDh06dJFp/DahoCIsHDhQhw4cACXLl2qc+8FsVjM2ZArJzrWtKOjvv0rLi5Gdna2WoKms7Mz2rRpU+eD6rfffsPmzZvx008/YcqUKTWeo2JuQ2V/ScXNsConByoUCq6sOOu3yc/Ph1AoRO/evdX8NjXdMAqFAq+99hqXJFpdmf+KFBYWcjs6xsTEcHb6ivvV0P/tKnrv3j1cv34d9+/fx5MnT/D8+XPOlwOAM+N16tQJvXr1go+PD0aOHIkePXpwLwj0fyV/dE3QZBVLbcUo6f/8JRWTFSuX/WfNXJVNRBKJBHfu3OFMabdv3+aKfA4aNIhTNsOHD68x8kwkEmHEiBEoLi5GREREnT62rKwsLtExJSWFC+Our0RH1n9WXSn9vn371noswzD49ddfkZSUhJUrVza6BzdLVlYWvL290b59e1y7dq3ec260oVEpl5KSEkRHR8PBwaFeHrqGRC6XY+LEiYiOjkZ4eHiVvRfo/xId2R0dxWIxJkyYAH9/f7z++usNVulU2wTN8+fPY+nSpVi+fDk++ugj7u/s3hms873i3hma+ktqgojw9OlTLtcmLCyMC7/t3Lmzmt/G3d2de9iWlJRg2LBhkEql3DbMFamc6KhSqbhSID179kR8fHwV53rFLQoq54l06dIFYrGYO44NKEhLSwPwQumwhRsrb1VdUlKCnJwcLtLO0dGxxgTNmqocq1QqtVVJWVlZlW2S2ZBgbaMIVSoVYmNj1fw27P4qPXr0UMu3cXV15V5Qnj17hqFDh6JTp064du1alZUBm+gYFBSE8+fPw8LCgtvRUddNxXRB2wTNo0eP4vr161i2bBk8PT0bpI+68uDBA4waNQpjx47F8ePHjbYtemUajXKRSqW4f/8+WrRogb59+zZIaKG+FBUVwcfHBwzDIDw8HG3btkVRURH3hmyIREdDUtcOmtHR0ZgxYwYmTJiAH3/8scqDjIhgamqKVq1acSsTTffO0BZ2qc+ubKKjo6FSqdCmTRt4e3tj2LBhGDZsGFq3bo1Ro0ahe/fuuHTpEiwtLdUSHZ8+fYqOHTuif//+sLa2RnJycpXN1SoqAvbTuXNnja9LJBIhPj6+ygZubCHRivuWdO3alXP6u7i4wNnZGU5OTlzodMUqxyqVSm1VUrGMTUVl0qJFi3p5SKenp3OK5tatW3j06BGAF5F4FYME5HI5fH198dprr+HIkSMQCoVcGDeb6Dhw4EAsXLiwQRIda0OhUODixYtVti/28/PjsvqvXr2Ko0ePYubMmRg9erTR+qoN586dw5tvvokVK1Zgy5Ytxu4OgEaiXJRKJaKiokBEGDBggMGiPBqCpKQkeHt7o2PHjvD09MTJkyehUqm4GPwJEyY0mjcJlup20JTL5fjwww/h5OSE9evXc2YgCwsLtVWJviXidaWsrAx37tzhVjaRkZHcNsVubm64e/cuOnXqBAsLCyQkJEAgEMDU1JQz1VlaWqJnz55VorN03RZaE0pLS7nVTUWlU3HbXmdnZ3Tu3Blubm5c5JqLiwsYhqmyTTKrUIwVOVlUVITQ0FBudRMZGcntMeTm5obo6GgMHz4cFhYWuHHjhlqdsP79+xulz7VReQfNHj16YNKkScjNzcWrr76K6dOnG7uLWvHzzz9jxYoV2LVrF959911jd8f4yoWIEBMTA5FIhAEDBhjt4aULOTk52LdvH3bu3ImMjAzY2NhgzZo1mDdvXoMkWupKRX9JTk4O4uLisH79ekilUnz++efo27cvOnfuDFtb23qpOq0rRITc3FzExsYiJiYGN2/exN27d5GRkaFWxdfMzAxdunTB4MGDMW7cOIwaNQqurq6NRskXFxdz1aUfPnyImJgYPHnyhNvETSgUwsXFBX369OE+vXr1Qvfu3RvVfEilUty7dw/Hjh3DmTNnkJKSwn3n5uaGV199FS+99BKGDx/eYGVSdIGtpPzLL7/g3LlzEAgEmDJlSoMmaBoCIsIHH3yA3bt348KFC1oFutQHRlcuiYmJyMnJQd++fXXe26QhYRMdAwMDcfbsWS7R0cXFBRs2bMDGjRvx+eefG7ubajAMo+Z4F4lEnK3ewsIC69atw6NHjxAQEIBWrVo1WIJmbeTl5VXJE2ErYgOAiYkJrKysIBaLYWlpidGjR8PCwgJnzpzB2LFjUVBQgKSkJAAvIr4qBgn06NGjwR8YlU1cYrEYRMT5SywtLSGXyxEXF4d79+4hPj4eaWlpePbsGVfjzMTEBN26davi0+nWrVuD71bIJjoGBgZye7PMmTMHDx48wKVLl+Dr64snT55w/ih3d3fOZzNixAi4ubk1inwRlpKSEmzatAkCgQDt2rVDcHAw4uLi0LlzZ8yfP79eEzQNCVuuKjw8HLdu3TKqv8ioyuXZs2dc8b+6Ik2MTWpqKlcKpKZEx6+++grffvstQkJCjLqkVigUaoqkor+ksonr66+/xuHDh7Fv3z6MHDkSwItIouzsbOTk5EAmk8Ha2pqrEGzoKgn5+fnVKpH8/HwAL1YhHh4e3OZbqampuHXrFkpKSjBy5EgujLtFixYgIsyfPx9HjhzBlStX4O7uzvltQkNDER0dzSU7ent7Y/jw4fDx8cGAAQMMviKQy+VqJVQql/1nTVwtWrSASqWqEnJcMUGT3X8mPz8f6enpnKktLy8PwIsthLt3766WFMoqHUOamNkw7oCAAISEhKC8vJxLWmQTHRUKBSZOnIioqCiEh4fDyspKbTM1tlZd+/bt1fw2/fv3N1oFDrlcjh9//BHFxcX47LPP0KZNGxARIiIiuARNqVTK7V5pyATN+qC0tBQjR45EWVkZQkNDjbZqNJpyYR8qnTp10nvP6fpCJpPh9OnTCAwMxKVLl2BtbY1Zs2ZxOzpWfvMiIsyePRsnT57EtWvXGmzvBalUqpZfUnHvDFaR2NjYVInk2bt3L7755hts3LgRs2bNqtIuG05beQdNZ2dnrZ2yBQUFnN+hohKp+IB0d3ev4hNxdHTEyZMnERAQwEWEsTs6VhdRKJPJMGHCBDx+/Bjh4eFwc3PjvmPLprBBAhEREVwE3cCBA7kq0F5eXlqvosvLy9UCICr6eioq9MpKrKbIMBaGYZCfn4+cnBwUFxfD1NQUDg4OcHR0hFQqVaswzX7YlY6ZmZma0mFXOm5ublo9yAsKCrhyK+w9u2DBAsybN6/aHR2LioowbNgwKJVKhIeHq5WgKS4uRlhYGKdsIiIiIJPJ0LJlS3h7e3MrGy8vrwapXUZE2L17N2JjY/HJJ59wYekVKS0t5XbQvHPnDtq3b4+5c+diwYIF6NatW733URfS0tLg7e0NNzc3LtCloTGKchGJRHjw4AHs7OwaZZifPomOUqkUvr6+ePr0KSIiIgy+90LF3Ab2U3nvDDaSqzZTyeXLl/Huu+/C398fa9asqfO8miZoFhUVVbsSyc3NBfDCtFNRibAPvO7du3PtVEx0ZPerYd+Qa9uvhqWgoADe3t4wNTVFaGhojUUslUolHj16pLZVNNtPT09PtRDoig9RhmGq5JewYdktW7ZUi+Sq7SFeMTJME3+QRCJBbm4ucnJyOEe6k5MTHBwc1I5//vy5Wvkb9t8FBQUAAHNzc24OKodMs+0wDIPr168jMDCwSqKjr69vnf19+vQpvL290bNnT/zvf/+rcWUok8lw7949tXybwsJCmJiYYMCAAWqrm/rwY548eRL//PMPFi9erFF15ZiYGAQFBeHQoUMoLi7G6NGj4efnp3WCZkMQEREBX19fvPHGGzh06FCDmyEbXLnIZDLcv38fFhYW6N+/f6NxlpWVlXE7OoaGhqJdu3ZcomNdCXqVef78Oby8vNCiRQvcvn1br9DLirkNbH5JdbkN1tbWGjus4+LiMHXqVAwfPhy7du3SytHNJmgmJibi7t27SElJQU5ODjIyMpCQkMDtRVLRP1Dx4+7uXqNyKCwsxKFDhxAQEICYmBgujLtioqOmJCYmwtvbGwMGDMDFixc1MmMQEVJTU9WSOxMTEwG82Kmxf//+XBZ+ly5d1EKC2bpcmsqztoqlcj/ZBM2CggIIhULY29vDycmpxixyIkJeXl61SqeoqAjAi5Vu165dYWpqivT0dBQVFaFr165YvHgx5s6dq3Wi4+3bt+Hr64u3334b+/bt0+jhxjAM4uPj1UxpbKBAt27duJXNiBEj0L17d70emLdv38aBAwcwbdo0jBs3TqtjJRIJt4NmxQRNf39/9OnTR+c+GZrjx4/jrbfewpdffomvv/66Qc/doMpFpVLhwYMHUCgUGDhwYIM7IStTn4mOjx8/xrBhw+Dt7Y2//vpLYzME6y9hzVzl5eVV/CU2NjY6752Rm5uLN998E23btsWxY8fqjM4rLS2t1pzFhtMKBAJ07NgRnTp1Qrdu3TjzUt++fTXyY1R8Q/7zzz+5siL+/v5671dz/fp1jB8/HnPnzsWePXs0Hi+ZTMYp9PT0dNy9exePHj1CTEwMEhMToVKpYGNjo7ay0aa4Kv1fMUqhUKi3n0Emk3GrGU0SNKvrS0ZGBoKDgxESEoLY2FiuSCZbMNPS0pLze1Vc6WgSxn348GHMnj0b69ev12iFXB0ZGRlqW0VHR0eDiGBvb6+2stEmjSEhIQHbt2/H8OHDMWvWLL2U1NOnT7F3717s378fOTk5GDx4MPz8/DBjxoxGUTJm06ZNWLNmDfbv34/Zs2c32HkbTLkQEWJjY1FcXIwBAwYYtUxBUVERt6NjdHQ0OnbsyCU6GtKMdenSJUycOBHvvfcedu7cWa0AsyXnq/OXVCyhYogld3l5Od566y08f/4cp06dUguiEIlEVRRIbGwsl6UtEAjg5uamZsrq1asXevToAUtLyzoTNCtTOdHRw8MD/v7+mDt3rkEdkPv27cOCBQuwZcsWfPrpp1W+pwpl/1mFUrGMTcXVoYWFBcrLy3Hv3j1uZRMeHg6xWAxzc3MMGDCA89t4e3tXa44jIq5Ei6GdwmzJHzYYol27dnB0dKzRLJicnIy9e/ciODiYS3T09/fnstazs7OrXelUTEDt0aNHFaXTqVMntTn/5ptv8PXXX+PIkSN466239L7OkpISLhrq1q1bCA8P5xSrt7c3p2y8vb2rjXTMycnBli1b0LlzZyxbtsxgIeqaJGgaAyKCv78//vjjD/zzzz9c4E5902DKJSkpCVlZWejdu7dOW63qCxFxb8jHjx9vsETHPXv24L333sO2bduwfPlyNX9JaWlplVpQ7MfQqzqGYbB48WLcuHED33zzDSQSiZoSYbc3rphNXvHTo0cPjRRcxR00S0tLYW5uDkdHRzg5OcHc3Jzbvvavv/6Cubk5VwpkxIgR9XbzrVmzBt999x2OHz+ON998s8oWvRX9JRUjuTRZVbBlUyr6bbKzswEAPXv25FY2w4YNg4uLCzffpqam9Xa97A6a2dnZXKJp+/bt4ejoCCLi6m1dvXpV60RHIkJmZmYVpRMXF6dWOofdwI2NXtuzZw8uXLiAa9euGXyjLblcjvv376uZ0lhzYf/+/dVWN9bW1ti0aRPMzMywcuXKevOTZGVlYd++fdi7dy/S0tLQs2dP+Pn5Yfbs2QbdJVRT2HJVjx49QmhoaIMEIjSIcsnKysKTJ0/QvXv3Bi8Al5OTg+DgYAQGBiIpKQndu3fn3pDrO/yZ9ZesWrUKu3fvxvfff4/hw4er+UtsbGx03mu8NsrKyhAXF8cpjzNnzuDp06dq2wZ36dKlihLp2bOnwRJZy8rKkJ2djfv37+Ps2bP4+++/8fz5cwwYMADvvvsuZs6cWe+5TUqlEiUlJZg/fz4uXbqEXbt2oWfPnjAxMalSj8sQ/j8iQnp6uprfJj4+HsALv42XlxdXuqZXr14NspNoTk4OIiIicPbsWVy+fFktjHvKlCkGmW+26GdFpRMXF4e4uDiIxWLuNwKBAJMnT4a3tzenfFxcXAy+VXRCQoJanTS2Vp2dnR0cHR2xcOFCTJw4ER4eHvW6omATNIOCgnD69OkqgREN6XMuLCzE8OHDAaDWQBdDUe/KpbCwEDExMejYsaNaWGh9olKpuDfkiomO/v7+GDlyZL0JU8XcBja/BHiRcb1mzRqEhobif//7n0EL9kkkEjUlwn4qlo1v164dysrKMHr0aLz11lucEqnPUE+ZTMbt6Pi///0P1tbWmDRpEnx9feHp6Yn27dvD2dnZ4H1gt0lmTVxs2X925ZadnY2bN2/q7QzWhsLCQq4oZ0REBKKiorhy997e3tzqZtCgQQZ9kxaLxVyQSkREBNq1a4dJkyZh3LhxXI0zR0fHeo1yYhiGUzp37tzBDz/8AKVSCTMzM7XtCqrbqrpDhw4Gm6PMzEysX78eoaGhYBgGjx8/BsMwaNeundpW0fXpC87Pz8ehQ4cQFBTEJWiyId0NlaCZlJTE+UQvXLhQr37velUuZWVliIqK4nbdq++bOTU1FXv37kVQUBAyMzPRr18/LtGxPrR0RX9JaWlplVpQFf0l7MM9JycHkZGRWq/gpFJplSq+7C6L7BS6uLhUWYkUFxdj6dKlmDlzJr799tt6n4PY2FgEBgbiwIEDXBj3woULuURHQyZoVvSXsAql8jbJrJnLwsICubm58PLyQuvWrXHr1q0GqzxQOTJMIpHg/v373MomLCyM2zK5f//+XKCAt7d3ndsUV6ZiGHdISAgXxs3u6Ghubl7tDppOTk5o165dvb9Jx8fHw8fHB4MHD8avv/6KxMREtdVOfHw890JgY2PDKZqKH2dnZ63l+Ny5czh79iwWLlyIwYMHQyQScX6bmzdvIjw8nNtjyMvLi1M2Pj4+BnfKGztB8+bNmxg/fjzmzJmjVaCLttSbcmHtoOwNU1/L/8qJjq1atcLs2bNrTHTUFSJSS5Krbu8M1gFfk3BkZWXBy8sLDg4OuHHjRrVBDVKpFAkJCVUitJ4+faq2VW91+6xXvgmSkpIwefJkDBw4EIGBgfWWAV3xDVnT/WqICAUFBcjOztY4QZMt+1+xhEplfwmrTGq61tjYWG5zrNOnT9d7VrgmkWEqlQpxcXGczyY0NJTbptjDw0PNb9O5c+dqZZoN466c6Dh37twaw7hrS9Csz1XtlStXuLyl3377Te16GIZBamqqWlJodVtEV7fScXR0rHZs2K2Q33jjDUyaNKnaPikUCkRFRan5bZ4/fw6hUIi+ffuq+W0MucooLS1FSEgIgoKCcPfuXTg6OnIJmvVp6Tl48CDmzZuH7777DitXrqyXc9SLcmEYBg8ePIBMJsPAgQPrpdje48ePuZLe+fn5GD58OPz9/TF9+nSDRKKxtaAqvhWz+SUVVyXa+kuio6MxYsQIjBkzBt9++22V1UhSUhKnRJydnasoEE9PT438FIWFhXjjjTfQokUL/PnnnwZ/WLBh3AEBAVyi44QJE7Bw4UKNEh0rIpPJkJOTUyVBs127dmpmLraMjYmJiZrjXVt/yd9//41XX30V77//PrZv367L5WuEriHHrP+i4srm8ePHAABHR0dO2Xh7e6OgoADBwcE4efIkGIbB66+/zu3oqI1cSiQSbjUjl8thbW0NR0fHKgmahiIwMBALFy7ETz/9hBUrVtT5e5VKhdTUVLWotdjYWCQkJHAWgzZt2qhFrXl6eqJFixbYv38/hgwZgnnz5mn8sklEePLkidqWA2ytOldXVzVlY6hadQ8fPuR20KyYoDl58uR6ybD/6quvsH79eoSEhGDq1KkGb79elAubDczuoWEoDJnoWBnWX1IxvwT4/7WgKjp+tVkNyeVyPHnyRE2BREREcCG+wIsHRnUrEV1NeTKZDLNmzUJqairOnDlj0Detim/Iht6vRiqVIiMjA8nJycjIyIBMJoOtrS2cnZ3RoUMHLvjBEA7o3377DUuXLsWOHTuwbNkyvdurDrZygiHMHEVFRYiMjMTt27dx7do13L17F1KpFEQEa2trjBo1Cu+++y7Gjx+v1/jokqCpK5999hm2bNmCU6dO4fXXX9epDaVSiZSUlCpKJzExEXK5HAzDoGXLlhg0aFCVlY62Ie85OTlq+TZRUVFc2D3rtxk5cqTeL9QSiYSL6Lt+/TratGnDRfQZMkGTLVd1+vRpXL16VePtzDXF4MolJSUF6enp6NWrl0FC7ogI9+7d4/Y8F4vFGD9+PPz9/fHGG2/o7JCSSCRq9bgq+ksq5pdo+sagUCiqKJHY2Fg8efKEM585ODhwyiM3NxfHjh3T+M1NU4gI//3vf/H333/j6NGjBtlHgw3jDggIMFiiY8Wy/6yZq2IZGwsLC65mmlwuh6WlJbeDpqFWwh999BG2b9+Os2fP4pVXXjFImywKhQJEpFaMUh+USiWXQ3H+/HmYmZnhpZdegqurK7KyshAeHo6SkhKYmpqiX79+XESat7e3zvehvgmadcEwDKZPn46LFy/i5s2bGDhwoN5tspSWlmL16tXIzc2Fp6cnkpKSOKXDylm7du2qrHQ8PT01Hi+xWIyIiAhuZRMWFsaFfg8dOlTNb6NrVGRSUhK3g2Zubi6XoPnWW28Z5MVdKpVi3LhxSE5ORnh4uNaVMGrDoMolJycHCQkJcHNzQ8eOHfVqy5CJjhVrQVX0l1S21dfmL6lIQkICHj16pKZEKgqtvb19lVVIZWXL7r2wa9cuXLx4UevyEzWxbds2bNu2DTt37sSrr76qV1vZ2dkIDg5GUFAQkpKS4O7uzoVxa1vnqeI2yazfpPI2yWwJlcompNLSUmRlZSEvLw8qlQp2dnZwcnKqMUFTU1QqFSZPnoyrV6/i9u3bde6rrilKpbJKlWNdqS3RsaJvii2bUjEEmt0Js3v37pzPxsfHR22bYk3RNkFTU8rLyzF69GhkZWUhMjLSIKtslUqFHTt2ID09HatWrVKTVYVCgadPn1ZZ6VR+CaysdPr27Vvnyk2hUCA6OlotBDovLw8CgQB9+vRR2ypa2+cjm6AZGBiIixcvwsrKikvQ9PLy0kvO8vLy4OPjA2tra9y4ccNwK1QyEDKZjG7cuEEJCQkGaW/69OlkZmZGU6ZMoXPnzpFSqdS5raKiIgoLC6OIiAh6/PgxPXv2jEpKSkilUunUnrOzMwEgOzs7GjVqFC1ZsoR++eUXunr1KuXl5WncjkKhoIkTJ5KzszNJJBKd+lKRuLg46ty5M+3cuVPvtoiIhgwZQlZWVjRv3jy6ceMGMQyjc1u5ubkUERFB9+7do4SEBMrKyiKRSKTVHCiVSsrKyqK7d+/SlStXKCMjQ+f+sIhEIurfvz8NHjxYr+tjUalUJJPJdJatiiiVSurQoQPZ2dnRsmXLKCoqSqvj09PTKSQkhFasWEHe3t5kbW1Nbm5uel2nXC6njIwMunPnDl2/fp0KCgp0boslKyuLXFxcaOrUqXq3RUR09epVWrp0qVbPIplMRrGxsRQSEkJff/01zZgxg3r16kUWFhZkampKgYGBWveDYRh68uQJBQUFkZ+fH7m7uxMA8vb21rqtimRkZNCGDRuoW7duZGZmRrGxsXq1R0QUGxtLtra29Mknn+jdFovOKxepVIqsrCxuwyNTU1NIJBKYm5tDqVRCKBRymcEsNZlPsrKy8P3336NLly7c9pxst2rSyDXZldnteStCRJDJZNWauB48eIBBgwbVeJ3R0dE4f/48/vvf/6q1p0vf2LaWL1/OHatrWwC4kM2KyGSyKmYjqVSKoKAgyGQyrF69usa+nTlzBh999JHefatuDlQqFZRKZbUmrejo6FpNImKxGEVFRWjfvj2EQiFUKhVycnJQXl4Oc3NzSCSSKj63mmTt0aNHkMlkar/X9TprunXYgAyGYaqswmp7w3z8+DEsLCzg5OSkdo7ajqmpbzExMbhw4YKaP4mIuPtVm7aA6ue0rKwMLVq04PrHPhOUSiXc3d1rnIPo6GicO3cOH374oVrfAO3ngA09rwgRQSQSVfsG/vXXX2Pjxo3VtgW8cKqHhYXhnXfe0btv0dHROHnyJD755BNuzHVt6+HDhwgPD8ecOXPU/s4GGWnTFtu3a9euqW2HrKus1YiuWolhGFKpVKRUKkkmk1FZWRmVlpZSeXk5qVQqYhiG7t27p3FbcrmcDh48SFu3btW1SzpRl9ZnGIb2799PGzZs0PvNlmEYOnLkCK1cuZLkcrlebWlKcXEx/fe//6Xo6OhaV38Mw9Dx48fp448/JplM1iB9Y6nrDZNhGMrNzaWkpCRKTk6mpKQkysnJIblcTgzDUEpKisZzwzAMeXp6GmSVUrldhmFIqVRy8s/+V5s2PD09DdafI0eO0Pr16w1+rWz7IpGIRCIRyeVyKi0tpfj4eFIoFCSXyykuLq7WYw8fPkyrV6/WyyKhLWFhYfTs2bNaf8MwDK1fv57OnDmj9/kYhqEzZ87Q8uXLqby8XO+21q1bR2fPntW7X2x7O3bsoN9//71e5IPoxZtMvcHe/NqwcuVKysrKqqceqcMqR004dOgQff/99wY5761bt2jhwoUkEokM0l5NlJWV0bvvvquVqS4sLIz8/PyopKSkHnv2/xGLxRqbkJRKJcnl8iq/ZxiG0tLSND7n06dP6YcfftCqnzVR8SVLqVRySoZFoVBo1d6FCxfo7t27BukbEdH58+dpzZo1Bn+AZGRk0LNnzygzM5NSU1MpPT1dbV4SExPrbOPSpUu0dOlSrcdIF/Lz82nPnj0a/ZZhGPr000/pxo0bBjl3dHQ0zZgxQ2/TN8Mw9PHHH9Pt27cN0i+GYejnn3+m3bt3G6S9ytSrciGiWt9gqsOQb291ockNUJEdO3bQ0aNHDXLupKQkmjlzJhUWFhqkvcpIJBKtFQtLcnIyzZo1izIzM+uhZ+pourqti6tXr2r1+/nz5+s99pVXKtU9wHVZofbt29egyuDy5cu0atUqg/iBiF5cd1xcHHfN1V27pv2/e/cuLViwoF5XMDk5OfTbb79pdQ6GYWjx4sUGk8/U1FSaPn263hYLhmHorbfeopycHIP0i10R/f333wZpryL1rlyuX7+u0zGRkZH10Bt1wsPDtfo9wzD04YcfUnR0tEHOn5ubS1OmTKHi4mKDtMcil8tp6dKlejm8CwoKaPbs2Vor4JpgH8RyuZx7IBcUFBhMuebl5Wn1QFapVDRs2DC9HuI1KRRtf1OZjIwM+uqrr3TuV3XcuHGDPvroI4MomCdPnhhU+T148ID8/PwMvrpSKpUUERFBf/zxh06mXpVKRf7+/ga73588eUKzZs3Sew7kcjlNmDDBYCs+hmHo3XffpZiYGIO0x1LvyuXp06c6HdehQwcD96QqKSkpWh/DMAy98sorVFpaapA+5Ofn0+uvv26QaDGiFzfU8uXLdR73ipSXl9O8efP0vrlYn0l6ejpnTnn27BllZ2fr3ceK53j8+LFWx0RFRdHGjRsN1oea0OUh8MUXX2h9PXURGhpKy5cv1/vhpu1LmSbcvn2bVqxYYTAFk52dTUeOHKGIiAi9rlehUJCfnx89ePDAIP26f/8+LV68WO/rzMrKopkzZxpsvFQqFU2dOtWg92S9KxeGYXR6cN67d4/u3LlTDz16gS7+IJaysjIaP368wSY2MzOTpkyZovdNzzAMrVy50iChiSwymYz8/Py0DoOtSGpqKhUUFKg5urV1dmuCLjbyr776ql4elhXRxRTCMAxNnDjR4L6viIgIWr58uc5jL5fL9XZO18Tx48f1DuhhGIZu375Nx48fN5hFQKFQ0MKFCw1mIrt48SJ98803erdz9epV2rJliwF69AKJREKvvPKKwea33pULke5vOk5OTtX+3RD5Dfq+jcfGxtKKFSv07gfLw4cP6f3339f5pmcYhjZu3EgREREG6xOLQqGgBQsW0MOHD7U+trCw0CC5EJogFou1XiUwDEPTpk3TKiBAW3QxjRERlZaW0pQpUwwe+BEaGkqffPKJTn0yZLBBdXz//fd0+vRpnY5lGIZOnjxJoaGhBvMvsSgUClq0aJHB7q/du3fTgQMH9G7nhx9+oH/++ccAPXoBa0kxxItfgyiXmzdv6nRceHh4FWGWy+Xk6+urd58M8bYaEBBAx44d07sdlqNHj+qUrEVEdOTIETp16pTB+lIZhUJBM2fOpNTUVI2PUalUWgd06IsuDz+ZTEaTJ0+uM0xVH3R15GZkZNCcOXMM3rcLFy7Q5s2btQ6VNrRdvrpzvP/++3T//n2tjztx4oROL0CaolQqaenSpRQWFqZ3W6yVQd/nEMMw5OfnR0+ePNG7TyzR0dH00Ucf6d1OgyiXoqIinTVhly5duGMZhqHp06dTbm5ujb+XSqUavbXU1oamMAxDy5cvp9u3bxvMxKOLwIWHhxt0eVwTMpmMXn31VRKLxRr9Pj4+3uBvkHWh65ulSCSiOXPm0P379+ulz/o4X/Py8mjp0qV06tQpkkqlBuvT3r17KTg4WOPfFxYWNsh8qlQqevvttykpKUnjY27cuNEgQUBKpZLef/99g4QDMwxDM2fO1Ns/qlQq6Y033qD8/Hy9+8SyZ88e+uuvv/Rqo0GUC+vQ1YXHjx/Trl27iIjou+++o2vXrtX6e6VSSU+ePOGUjEKhIIlEQlKplFMAYrHYYMqAYRj64IMPaOvWrQax8TIMQ3PmzNH4DSwpKYk++uijekuEqkxJSQm9/PLLdZ6vsLCw3sKsa0Mfn4BEIqGvvvqKvvjiCwoLCzNooquupjEWuVxO+/fvp48//pj++usvgwSAMAxDW7ZsoZMnT2r0e10tELogl8tp5syZGvkPk5KS6nXVXhmVSkUrVqwwSPiuXC6nGTNm6B2VKRKJaOrUqQYNUZ43b55eQSUNolyIdHO2svz3v/+lkydPahzZI5VKKT09nftkZWVRZmYmpaWlUUlJicEiP1hUKhVdv36dPvjgA41v1NpQKBS0ZMkS+vPPP2v9XXFxMS1cuLBBs5yJiGJiYmj16tU1fq9QKCg+Pr4Be6TOrVu3dD6WTcjcvn07ffrpp3Tu3DmD9csQyqq4uJgOHDjAKRl9YRiGNm3aVKf9X6FQNEjeU0WkUiktW7asVtNzWVlZvWaZ14RKpaKvvvpKq5VfTUgkEnrvvfcoJCREr3by8/Np0aJFdPz4cYO8CCiVSlqwYAGdOnVKJ7+OzrXF2P1OKv/Nysqq2vo0WVlZ6NatW7VtJSQk1FSahmvryJEjePvtt7nvPDw8qj2mYr0thmHU6h4JhUKIRCJYW1ur1biqbQ/x6vpGNdTgkUqlCAkJwYYNGzRuq6b2GIbBwYMHa2wLAMLCwmBjY6NWM02hUMDU1LTGGkE17W6nzXUCwA8//IA9e/ZU+11paWmVPlAt9d2A2uegOlkrKyuDlZVVtXWVnj17VqN8aDMHhYWFuHDhAr799tsaj9G0LeDFnNa2PYE2cyASiXD27Fl888031baVmJhY7d9rqkUVHBxcq6wVFRWp3TNEBKlUCgsLC61rW2lznQzD4MCBAzXWA4uPj4e1tbXauLJV0GsqSe/o6Fjt37XtG/Bi07MtW7Zo3FZN7alUKhw4cADfffedXm3J5XL8/fffKCsrw1dffVXtMTW1V12/lEolTpw4AVNTU3z++ec1tlcdOisXtjhfxU48fvyY2ya1OmoSwuqKz7Ht13RMTfu4VO4X8KLwYWpqKtzd3as9rray7ZX7Rv9X/E+XvtV2nQKBoFoBrm2/msrtKZVK5OTkwN7evsY9T3TpmyHmIC8vDwUFBTUWNKxtDqqTtdjYWDg4OKgVedSkPUNeZ3W3DsMwUKlUNSr42goDVidrde1kqc18ymQyKBSKGje8q03WKs+BTCZDfHw8unbtWuNDvCHmgC2TX5HU1FRkZGTAy8ur2i00atsVtKY5MDExqfHFoCHuqZraUiqVNW7toM2zg4i4l3Ft+1Yjui+aqpKSkkLXr1/X2OFbG1u3biVLS0uDmBLYEuGG4O233yY7OzudyqpUR15eHtnZ2dHMmTP1bkulUlGfPn3o559/1rstmUxGlpaWtG3bNr3bKisro8jISIOEkLMkJyfT1atXDSZrFhYWBpE1tpCrIZg9eza1b9/eYLL2/Plz6tSpEy1YsMAg7d2+fdsgIdwymYwsLCwMImsZGRm0ZMkSgxV4JCL6+uuvydLS0iCRcoaUtfXr15O9vb1BTIIzZ84ke3t7g8kaEZH+Gz9XoFOnTrCyskJiYmKNJgNNGTp0KGQyGR4+fKh3v0QiEVq2bKl3O+fOncORI0ewbds22Nvb690e8GJjsa1bt+KPP/7A+fPn9WpLKBSiX79+ePDggd79evjwIWQymd5bnxIRUlJSYGlpCWdnZ737xdK5c2dYWVkhPj6+Ucka1VLSXhvOnz+Po0eP4scffzSYrLVr1w6bNm3CsWPH8Pfff+vdnrW1NUpLS/Vux1CyxprQHBwcMHHiRL37xfLZZ5/Bzc0NixYtqnbrAW0wpKzduXMHQ4YM0XtDOlbWtm7dajBZAwCDKhehUAh3d3du50B9GDBgAExNTREZGal3v8rKytCqVSu92hCJRFiyZAlefvllzJ49W+8+VWTOnDkYP348Fi9eDJFIpFdb/fv3x4MHD/R+4EZGRsLU1BQDBgzQq528vDyUlZXptPthbQiFQvTo0QOlpaXIzMzUqy1DylpFP5+uiEQiLFu2DBMmTMCsWbP07lNF3n77bfj6+uLDDz+EWCzWqy1ra2u95RUwnKxdu3YNqampeOedd2o1fWmLhYUFfv/9d0RGRmLXrl16tWUoWSMi3LlzR2+FLBKJsHTp0nqRNYMqFwBo3bo1nJ2dkZKSwu1LrwtWVlbo27ev3pPA2pn1VS5r1qxBQUEBfvvtN4M+JIEXdvjff/8dBQUF+OKLL/Rqq1+/figoKND7gRsZGYl+/frV6IDXBJlMhmfPnsHBwUHv8a+O1q1bo0OHDkhOToZUKtW5HVbWIiIi9OoPq9D1lY8vv/wSBQUF2LlzZ73I2s8//4zCwsIaAxU0xdraGgqFQq+xB4CIiAi9Za2wsBCnT5/G6NGjawxa0Yfhw4dj0aJFWLNmDdLT03Vux1CylpaWhufPn2Pw4MF6tfPFF1+goKAAv/76q8FlzeDKBQBcXV1hYmJSY8SKpnh5eemtXNi3M30ebuHh4fjll1+wbt06uLq66tWfmnB1dcW3336LHTt26CV4/fv3BwC9TWORkZHw8vLSq420tDSYmprCxcVFr3Zqo2vXrjA1NW0UsmYI5RIREYFff/0V33zzDbp06aJXf2qic+fOWLNmDXbt2oW7d+/q3A7ryNd39aKvrBERDh8+DCsrK0yePFmvvtTGhg0b0Lp1ayxbtkwvy4AhZO3OnTsAgCFDhujcRnh4OHbu3Ilvv/22fp5rBvPeVOL58+d07do1vTLh9+7dS0KhUK/kxNTUVK1LSVREJpNRr169aPDgwfW+qZFCoaBBgwZR79699XIKDxs2jNatW6fz8UVFRSQQCGjfvn06t5Gfn08RERENkkj5/PlzunLlit6yJhAI9JI1dksBXZHJZNS3b1/y8vJqEFkbOXIkDR06VC9Zi4iI0CvDvKioiADoJWuRkZG0aNEig5XGr43Tp0+TqakpHTlyROc2DCFrn3zyCXXr1k3n42UyGfXp04eGDh1ab7JWLysX4IXz0N7eHklJSVAoFDq14eXlBSLS6+1KLBbrtWrZvHkz4uPjERAQYFA7bnWYmpoiICAAcXFxNcbOa8KAAQMQHR2t8/HseOv6NqlUKpGWloa2bduiTZs2OvdDU1hZS0xMNKqs6etv+f7775GQkIDdu3c3iKz98ssvSEhIwLZt23RuR1+/i76yVlZWhpCQEAwcOBB9+/bVuR+a8vrrr2PKlClYsWIFCgoKdGrDELKmr79ly5YtiI+Pr1dZqzflAgDdunUDESE5OVmn4z08PGBjY6OzmYiI9HLmx8fHY/369fj000/Rr18/ndrQlv79++OTTz7BunXrEB8fr1Mb/fr1Q0xMTLU5AJoQERGB1q1bw93dXafj09PTQUTo3LmzTsfrgru7O4gISUlJOh2vr6wBtSfb1UVCQgI2btyIjz/+uEEekgDQt29fLF++HJs3b9bZrMgqF9LRTKSvrB0/fhwqlUotwbq+2bZtG+RyOVauXKnT8frKmkKhwP3793U2icXHx2PDhg345JNP6vW5Vq/KxdzcHF27dkVOTg6Kioq0Pl4oFGLIkCGcfVFbysvLwTCMTsqFYRi8++676NSpE9auXavT+XXlq6++gouLC957771qExLron///pBKpTo/MNgQR11CaktKSpCfn49OnTpVm8BWX5ibm8PNzU1vWdPVFk51JNbWBsMwWLRoEVxcXPQO6NCWzz//HB06dMAHH3ygk6xZW1tzGfG6EBkZqbOsxcXFISwsDFOmTIGNjY1O59cFJycnbN68Gfv378fly5e1Pl5fWYuNjYVUKtVp5cLKWqdOnfDll1/qdH5NqVflAryYCFtbWyQmJuokvEOHDkVERIROb0ZisRgCgUCnHJc9e/bg1q1b2L17d62lSeoDKysr7N69Gzdv3kRAQIDWx/fu3RsmJiY6OfWJCBEREToLbmpqKmxsbAwaL68prKwlJCTolI+gj6yRHs78wMBA3L59G7t27TKKrO3YsQOhoaEIDg7W+nhra2sIBAKdTGP6yJpcLsehQ4fg7u6O4cOHa328vixYsACjRo3CkiVLqi1PVBf6yFpkZCRMTEy44B1tCAgIwK1bt/D777/Xv6zViyenEuXl5XTjxg2dHH+nTp0igUBA6enpWh+blJSk0/4OGRkZZGNjQ/7+/lofa0j8/PzIxsZGp4KBkyZNok8//VTr49LS0kggEOi0YVN6ejpFRkYabMtmXSgrK6Nr165pVa6d5dSpUwRAJ1lTKBQ6OfMzMjKobdu29O6772p9rCFZsmQJOTk5UVZWltbH3rt3jxISErQ+Li0tjQDoJGvHjx+n999/3yBbZ+hKYmIitWzZklatWqX1sfrI2sKFC2nIkCFaH5eRkUG2tra0cOFCrY/VhXpfuQAv3o46d+6MjIwMrRO32LcaXeyTujrzP/jgA1hZWeH777/X+lhD8v3338PS0hIffPCB1seyyZTawo6ztm+TZWVlyM7ORocOHfTKV9CXFi1aoEuXLnj27JnWb9P6yBrp6G/58MMPYWVlhc2bN2t9rCHZsGEDLC0t8cknn2h9rK6Z+rrKWnp6Oi5duoTXXnsNDg4OWp/XUHTv3h1ffPEFtm3bhqioKK2O1UfWWFOitixfvhxWVlZ6BQtpQ4MoFwBwcXFBixYtkJCQoNVS0MnJCS4uLlr7XVQqFSQSidbK5cSJEzh58iR27NjRIJFOtdG2bVvs2LGD65M29O/fH0+ePNHaFn7nzh106tSp1sqxlaH/K/HSokWLGgtJNiSdOnVCixYttC4Nw8qaLrZw0qHsy8mTJ3Hq1Cls27bN6LLWpk0b/PDDDzhz5gzOnj2r1bHW1tYoLy/X2hQZGRmptayxJV6cnZ0xfvx4rc5XH3z88cfo2bMn3nvvPa0CaHSVtdLSUsTHx2utkFlZ+/nnnxtM1hpMuQgEAnh4eEAsFiMjI0OrY1n7pDawD1VtlEtxcTGWLVuG//znP5g2bZpW56svpk+fjtdeew3vv/8+iouLNT6uX79+ICKtaxjpYgPPyclBeXm5wUu86IpAIECPHj0gFovx7NkzrY7VRdYqVrbWlOLiYvz3v//Fa6+9hqlTp2p1vvpi8uTJmDhxIj766COUlJRofJyuyZS6yNqlS5eQkZGBd955p9btCxoKMzMz7N69G9HR0fj555+1OlYXWbt37x6ISKuVS3FxMT744IMGl7UGUy7ACyHs2LEjUlNTtSoZMXToUNy9e1erNwOxWAwTExOtTDSrVq2CWCyul1IIuiIQCPDrr79CJBLhs88+0/i4bt26oWXLllqZxpRKJe7du6fVDS+TyZCZmQlHR0eDFAc1FDY2NnBxcUFKSoraHj914eXlpbWskQ7O/M8//xxisRg7duxoVLK2detWiEQirSIkW7RoARMTE62UCytr2uS3PH/+HGfPnoWvr2+9VS/QhSFDhuCDDz7A119/jZSUFI2P00XW7ty5A2tr6xr3K6qOzz77DGKxuF7KCdVGgyoXAOjSpQvMzc21CpMdOnQoysvL8fjxY42PEYvFNe5bUR03btzA7t278d1336Fjx44an6chcHFxwXfffYfff/8dN2/e1OgYExMT9OnTRyvlEhsbi/Lycq2US0pKCszMzNChQweNj2koXF1dYW5uXuNGS9Whi6xpaxJjowA3bNjQ6GStY8eO+OabbxAUFITQ0FCNjhEIBFonU2ora0SEQ4cOwdraGq+//rrG52kovvnmGzg4OGDJkiUam2J1kbXIyEgMGjRI41XbjRs3sGfPHmzcuLHhZa1BwgYqUVBQQNeuXdN4v2eRSEQmJia0Z88ejc9x7949jfeakEgk5O7uTj4+PqRSqTQ+R0OiVCrJx8eHPDw8NI7G2rRpE3l5eWl8jt27d5OJiYnGe6Q8f/6cIiIi9CpjUd/k5+fTlStXKDs7W6Pfi0QiEgqFWsmaXC7XeKtpiURCPXv2pBEjRjRqWfP19aUBAwZoLGvJyckUHh6u8Tl2795NQqFQY1kLDQ2lRYsW0aNHjzQ+R0Nz4cIFMjU11XjrY11krVOnTrRmzRqNfiuRSKhHjx40fPhwo8hag69cgBeOagcHB41Lw7Rq1Qq9evXS2Pkll8shl8s19rds2LABKSkpCAgIMMheHPWBiYkJ9uzZg+Tk5Bq3fK1Mv379kJOTg5ycHI1+HxkZid69e2tk3lIoFEhPT4ednR1at26tUfvGwM7ODu3bt0dSUlK1u/lVhpU1TW3h9H87k2q6Qv7uu++QmpqK3bt3N2pZ++WXX5CamooffvhBo2Osra0hk8k0roQeERGhsayVlpbi2LFjGDp0KHr16qVR+8Zg4sSJmDlzJj799FPk5eXV+XttZS0zMxPZ2dka+1s2btyIlJQUo8ma0aS7W7duEAgEGpfr0KaSqDaVkGNiYrBp0yasXr0anp6eGrVvLHr16oXPP/8c3333HR49elTn79kkK03rjGlTnZYtO96QJV50pXv37gBQL7JGWvhbHj16hC1btuCzzz5Dz549NWrfWPTs2RMff/wxfvzxR43MNto69bWRtZCQEAgEAkyfPl2j3xuTH3/8EQKBAB9//LFGv9dG1tiIWU1MiTExMdi8eTM+//xz4z3XGnytVIGcnBy6du0aFRQU1Plb1mQjEonq/G1aWhrdu3evzt8plUry8vKinj17klQq1ajPxkYqlVKPHj3Iy8tLI1PM0KFDadOmTXX+ThvTY1FREUVERNDz58816nNjIDs7m65cuUL5+fl1/pY12Wgia5pWQlYqlTRs2DDq3bt3k5K1gQMH0ksvvaSRrIWFhVFycnKdv9PGHPTw4UNatGiRViY3Y7N//34yNTWl8+fP1/lbbWTt888/p86dO9f5O9aE3qtXL6PKmlHX5e3bt0ebNm2QmJhYZ4y8l5cXGIbB/fv362xX0+TJnTt3IiIiAnv27IGFhYXG/TYmFhYW2LNnD7fvR11omkx57949MAxT59ukSqVCamoqWrdujXbt2mnabaPj6OiItm3bGlzWSEOT2G+//YbIyEj8/vvvTUrWfvnlF9y9exd79uyp8/c2NjYarVw0lTWpVIrDhw/D09NT7x0XG5I5c+Zg3LhxWLZsWZ1J49rImqaVkH/99VdEREQYXdaMbvR1d3eHQqGoM4TP09MTLVq0qNM+SRpWQk5PT8fq1auxZMkSo9Qm0ocRI0Zg8eLFWL16dZ274vXv3x8PHz6s84EaERGBli1b1rmEzsjIgFKpbFShoJri7u4OuVxeZ5VuTWUN0KzMfnp6Or744gssWrQIw4YN06rPxsbHxwf+/v74+uuv68wZ0rRCsqaydubMGZSVlWHWrFmNJlxbE9j0gefPn9cZ0q2prKlUKty7d69Of0t6ejrWrFmDxYsXG/25ZnTlYmlpCVdXV2RmZtZaQsLU1BSDBw+uM1NfIpFApVLVqlyICEuWLIGtrS2+++47nftuTDZt2gQbGxssXbq01pu5f//+KCsrw9OnT2tt786dOxg8eHCtIY5isRi5ubno2LFjk3n7roiVlRW6du2KjIwMjWStLls4aeBvISIsW7YMtra22LBhg24dNzLffvstbGxssGLFilplzdramquMURuRkZF1ylpKSgquXr2K119/vUmtkFlcXV3xzTff4JdffqlVjjSVtfj4eIjF4lpXLkSEpUuXwtbWVuOgn/rE6MoFADp06ABra2skJibWKrxeXl51anh2GVpbFMrRo0dx/vx57Ny5s1FHOtVG69atsXPnTpw7dw4hISE1/q5v374QCAR1msYiIiJqNVPQ/5V4admyJdq3b69rt41Ox44dYW1tjfj4+FqrdGsia6RBmf2QkBBcuHABP//8c5OVNRsbG/z000/4+++/ceLEiRp/xzr166ozVpesKZVKHDhwAC4uLvD19dWt042ADz74AAMGDMCiRYtqjVTURNYiIyMhFAoxaNCgGn/Dytovv/zSOGTNOK6eqohEIrp+/XqtuSnHjh0jgUBQa+XWp0+f1rrdaX5+Ptnb29O0adP06m9jYerUqWRvb1+ro3r8+PH0+eef1/h9ZmYmCQQCOn78eK2/iYyMpLKyMr362xgQiUR09epVSk1NrfE3x44dIwC1ylpdlZDz8/PJycmJ3nrrLb3621iYPXs2denSpdYAnDt37lBiYmKN32dmZhKAWmXt3LlztGTJEp0qBjc2oqKiyMLCgjZu3FjjbzSRtSVLllD//v1r/D4/P5/at29P06dP16u/hqRRrFyAF2HDbGmYmvZHYN92altC1uXM//jjjyGXy7WuA9RY2bFjB+Ryea3VbOty6rPjWdPbpFQq5Uq8tGjRQq/+NgZatWoFFxcXvWWN6nDmr1y5EnK5HFu3btWvw42EH374AXK5HKtXr67xN3U59euStZycHJw/fx7jx4+Hi4uLfh1uBPTv3x8rVqzA+vXra6xKoomsRUZG1moS++STTyCXy7F9+3b9OmxAGo1yAV6UhrG0tKxxEjp27AhHR8ca/S4Mw9RaCfnSpUsIDg7GDz/80Ciq9xoCJycnfP/999i3bx8uXbpU7W/69++PhISEGm3hd+7cgZOTU40lXFJSUmBubt4oS7zoSpcuXWBhYVFjlW5W1upSLjWZxC5fvoz9+/djy5YtzUbWHB0dsWHDBhw6dAhXr16t9jfW1tYoKyur0eQYGRlZo6wREQ4ePIg2bdrgtddeM2jfjcmXX36Jjh07YvHixdWOS12yVlZWhtjY2Bqd+aysff/9941K1hqVchEKhejevTtKSkqQnZ1d5XuBQFCrfbKsrAxEVK1yKS8vx6JFizB69Gj4+/sbvO/GxN/fH6NGjcKiRYuqfRPv378/VCpVjYmXrA28urfwvLw8iEQiuLq6NtqMcl0wMTGBh4cHiouLdZI1qsWZX15ejiVLlmDUqFFYsGCBYTtuZObOnYvhw4dj+fLl1cqatbU1iKjG1Uttsnbr1i0kJSVhzpw5DbpFdn3TokUL/Pbbb7h58yaCgoKqfF+XrEVFRUGlUlW7cikvL8fixYsxevRo+Pn5Gbzv+tDonhZt2rSBo6MjkpOTq3WCDRkyBHfu3Kn2DUAsFkMoFFa7fefXX3+NzMxM7N69u0mFNWqCUCjE7t27kZmZiW+++abK9+7u7rC0tKw2U59hGNy5c6fatyK5XI5nz57B3t6+QfcobyjatGkDJycnPH36tNqyJUOHDq1R1mors//tt98iKysLu3btapaytmPHDmRnZ1cbadmyZUsIhcJqlQsra9U9JEtKSvDnn39i2LBhWlX8bSr4+vpi3rx5+Oyzz5CVlVXl+9pk7c6dO2jRokW1odvffPMNMjMzG6WsNTrlAgBubm4QCAR48uRJle+8vLxQWlpabaXbmioh379/Hz/++CPWrl0Ld3f3euu3MfHw8MCXX36JH3/8scqueKampjVWSI6Pj4dIJKrWBp6WlgahUNgsbN814ebmBqFQqLWs1eRviYqKwtatW/HFF19wZWeaG927d8eqVauwY8eOKi8stVVIrk3W/vjjD5iZmTWavW3qgy1btsDCwgIffvhhle9qk7XIyEgMHDgQpqaman+/f/8+fvrpJ3z55ZeN87lmvFiC2snLy6Nr165VKTFSXFxMQqGQ9u3bV+WY+/fvV4kAUigUNGDAAOrTp49Oe5w3JWQyGfXp04cGDhxICoVC7bt169bR8OHDqxyzd+9eEgqFVFJSovb3wsJCioiI0Kg0T1MnNzeXrly5Qnl5eWp/Ly4uJoFAUK2sVVcJWaFQ0ODBg6l///7/Clnz8vKiESNGVJG1p0+fUkRERJVj9u7dSwKBoIqs3b9/nxYtWkR3796t1z43Bo4ePUqmpqZ08uRJtb/XJmtubm60cuVKtb8pFAoaNGgQ9evXr9HKWqNcuQCAvb097Ozs8OTJE7XNdFq3bo0ePXpUcX4pFArIZLIq/patW7ciOjoaAQEBzcqOWx3m5uYICAhAVFQUtm3bpvZd//79kZGRgYKCArW/R0ZGomfPnmpmL7bEi62tLdq2bdsQXTcqDg4OsLOzQ2JiYrWyVtkWTjVUQt6+fTsePnyI3bt3/ytkbefOnYiOjsbOnTvVvrO2toZUKq1S8TwiIqKKrJWXl+PIkSPo27cvBg4c2CB9NybTp0/Hq6++iuXLl6vt9lmTrOXm5iI9Pb2KKXHbtm2Ijo5u1LLWaJUL8GL5rVKpqpSGGTp0aBXlUl0l5KdPn+Krr77C8uXLm1RtIn0YOnQoli9fjrVr16qVOWErJFc2jVUX4vjs2TMwDNMkS7zoioeHB1QqVZXSMNXJGlXjzE9OTsY333yDZcuWabUFbVNm0KBBWLJkCTZs2IDU1FTu7zVVSK5O1k6ePAmpVIqZM2c2Op9BfSAQCLBjxw6IRKIqId3Vydrdu3cBQE2mnj59iq+//hoffPBBo36uNWrlYmFhAVdXV2RlZalp+aFDhyI6OlottFYsFsPMzIwrS0JEWLRoERwcHLBu3boG77sxWb9+Pezt7bFo0SLuQdihQwfY2dmpKReJRIKHDx+qCahIJEJeXh46duwIc3Pzhu660bCwsEDXrl2RmZmJ4uJi7u9eXl5VZI1dtbAPQ/q/ckIODg7VBlQ0Z9auXYt27dph+fLlnKxZWlrCzMxMLVOflbWK/pYnT57g5s2bmDx5Mtq0adPgfTcWLi4u2LBhA3bv3o1bt25xf69O1iIjI9G+fXvO70lEWLx4MRwcHPDtt982eN+1oVErFwBwdnaGjY0NEhMTuUiKoUOHQqlUqj0oKydP7t+/H5cvX8auXbs03jSsudCqVSvs2rULly5dwoEDBwC8eGOqnEwZFRUFpVLJKReGYZCSkoJWrVo16RIvutKhQwfY2NggISGhVlmrbBI7cOAArly5gp07d/7rZK1ly5bYtm0brl69ij/++IP7e2WnfmVZUygUOHjwILp27YrRo0c3eL+NzaJFi+Dl5YXFixdDKpUCqF7W2Jp/rLyxsvbbb781ellr9MpFIBDA3d0dEomEqwDct29fWFhYqNknKyqXvLw8fPTRR5g9ezYmTpxolH4bm0mTJmHWrFlYsWIFtyte//79ER0dzT04IyIiYGlpiT59+gAAsrKyIJPJ4OrqarR+GxOBQIAePXpAIpEgLS0NQPWyVrEScl5eHj799FPMmjULL7/8slH6bWwmTJiAGTNm4LPPPsPz588BVM3UryxrFy5cQH5+PubMmfOvMIdVxsTEBLt370ZycjI2bdoEoKqsVQ7dzsvLw8cff9xkZK3RKxfgxdtRp06dkJ6ejrKyMpiZmWHgwIFcpn7lSsgffvghBAJBsym7oSvs9a9YsQLAC+VSWlrKPTjv3LmDgQMHwszMDOXl5cjOzoazs3O1eUL/Flq2bInOnTsjLS1NTdZYW3hlf8vHH38MgUCg8XbAzRX2AfnZZ58BeLFyUSqVnImHDac1MzNDZmYmLl68iIkTJ8LZ2dlofTY2np6eWLlyJbZs2YLY2NgqspaUlISSkhLO37JixQoIBAL89NNPxuy2xjQJ5QIAnTp1gpWVFVc5mc1ozc/Px+PHj1FcXIwWLVrg/Pnz+OOPP7B161bY29sbu9tGxcHBAVu3bsXhw4dx4cIF9O3bFwBw/fp1pKamIiwsDEOHDgURITU1FRYWFv/qm52lc+fOsLKyQnx8fBVZS0lJQX5+PgQCAS5cuIAjR47ghx9++NfLmr29PTZt2oSQkBD8888/XKZ+SkqKmqwxDIODBw/CwcEBkyZNMna3jc7nn3+Orl27YtGiRVCpVGqydu7cOQAvAidYWfvpp5+ajqwZIfxZZ4qLi+natWsUGxtL77zzDgFQ+7i6upKtrS2NGTOGGIYxdncbBQzD0Pjx46ljx460efNmsrS0VBszBwcHWrduHV26dIlKS0uN3d1GQ3FxMV25coUePXpUo6zZ2dnR2LFjeVn7PxiGoddff508PDxo8+bN1KFDhyqy9v7779P8+fPpyZMnxu5uo+HWrVtkampK33//fY2y1qZNG/L19W1SstaklAsRUWBgYJUHZOWPlZUVXbx40dhdbTTs3bu31vHix6x6AgICeFnTkn379tUpaxYWFvyYVeK1115rdvdok1IuFy9eJKFQSAKBoNZJEAqFZGJi0qQmor64ePEimZiY1DlmAoGAH7MK8LKmPbys6QYra3Upl6YmawKiOja8biQUFxejY8eOkEgkte4gyMIWsMzIyICtrW39d7ARwo+ZbvDjpj38mOlGcx63JuPQDw4ORnl5uUYTALwI4ysvL8f+/fvruWeNF37MdIMfN+3hx0w3mvO4NYmVCxGhe/fuSE5OrnZjp5oQCATo2rUrnjx58q+LpefHTDf4cdMefsx0o7mPW5NQLvn5+XqF3+Xn58POzs6APWr88GOmG/y4aQ8/ZrrR3MetSZjF2KKUulLbnt7NFX7MdIMfN+3hx0w3mvu4NQnlom8NHbZK678Jfsx0gx837eHHTDea+7g1CeViZ2fH7U6pDQKBAG5ubv+KPUkqw4+ZbvDjpj38mOlGcx+3JqFcBAIBPvjgA52OXb58eaN2etUX/JjpBj9u2sOPmW4093FrEg59oHnHg9cX/JjpBj9u2sOPmW4053FrEisXALC1tcWff/4JgUAAobD2bguFQggEApw4caLRT0B9wo+ZbvDjpj38mOlGsx63hi4JoC8XL16kli1bkkAgqFJmgv1by5Yt6e+//zZ2VxsN/JjpBj9u2sOPmW40x3FrcsqFiKioqIi2b99Obm5uapPg5uZG27dvp+LiYmN3sdHBj5lu8OOmPfyY6UZzG7cmqVxYGIahy5cvEwC6fPlykypHbSz4MdMNfty0hx8z3Wgu49ZkfC7VIRAIONujra1to4+eaAzwY6Yb/LhpDz9mutFcxq1JKxceHh4ensYJr1x4eHh4eAwOr1x4eHh4eAwOr1x4eHh4eAwOr1x4eHh4eAwOr1x4eHh4eAwOr1x4eHh4eAwOr1x4eHh4eAwOr1x4eHh4eAwOr1x4eHh4eAwOr1x4eHh4eAwOr1x4eHh4eAwOr1x4eHh4eAwOr1x4eHh4eAwOr1x4eHh4eAwOr1x4eHh4eAxOk1UuYrEYiYmJiImJAQDk5ORALpcbuVeNH7FYjLS0NABAXFwcnj17xo9bHSgUCmRmZiIuLg4A8PTpUxQWFoJhGCP3rHHDy5r2NKfnmoCIyNid0Ibk5GQEBATgzJkzePbsGRQKBWQyGWxsbDBgwADMmzcPU6ZMgbW1tbG72qioOG5paWmQSCQwNzdHy5Yt0adPH37cqqG4uBh//vknDh06hNjYWIhEIsjlclhaWsLe3h4jR46Ev78/hg8fDlNTU2N3t9HAy5r2NMfnWpNRLiqVCn/88QdWr14NiUSCSZMmYfz48ejUqRMYhkFSUhIuXLiAq1evYuDAgdixYwc8PT2N3W2jw4+bboSFhWHFihV4+PAhhgwZgldffRV9+/ZFq1atUFxcjHv37uHs2bNISkrCW2+9hfXr18Pe3t7Y3TYqvKxpT7MeM2oCqFQq2rlzJ7Vs2ZImTZpE0dHRpFQqKTQ0lLZv307bt2+nuLg4ksvldP36dRo8eDB5eHhQTEyMsbtuVPhx042///6bnJycqHv37nT8+HEqLy+n4uJi2rVrF23fvp327t1LEomESktLaffu3eTs7Ezjx4+nnJwcY3fdaPCypj3NfcyahHK5evUq2dra0rRp06iwsJAYhiEioi+++IIAEAA6cOAAERExDENpaWk0bNgwGjFiBBUVFRmx58aFHzftSUhIIFdXV+rduzc9evSIG7OnT59S69atCQC5urpSYWEhEb0Ytxs3blDHjh1pzpw5JJVKjdl9o8HLmvY09zFr9A59iUSCb7/9Fu3bt8fWrVtha2sLgUBQ4+8FAgFcXFywY8cOJCYm4uDBgw3Y28YDP27ao1KpsHHjRhQVFeGXX36Bp6dnrWMGvBi3ESNGYMuWLTh9+jQuXrzYQL1tPPCypj3/hjFr9Mrl3r17CA8Px9KlS9GhQ4c6b3bgxUT0798fM2bMwL59+1BeXt4APW1c8OOmPUlJSTh79iymTJmCESNGaDRmwItxe/PNN+Ht7Y09e/ZAqVTWc08bF7ysac+/YcwafYjLtWvXYGFhgXHjxiEuLk7txs3NzeX+nZ6ejocPH3L/b2trizfffBMHDx5Eampq03GCGQh+3LQnNDQUYrEYU6dORWpqKsrKyrjvMjIyoFKpAAByuRyxsbGwsbHhvnd2dsaUKVPw9ddfIycnBx07dmzw/hsLXta0518xZsa2y9XFnDlzyN3dnRITE6lTp05kaWnJfUxNTTnbpJmZmdp3CxYsoJSUFGrXrh1duHDB2JfR4PDjpj0rV64kW1tbiouLo7Fjx6qNi4WFBTdmAoFA7TsrKyv69ddf6ebNm2RtbU0RERHGvpQGhZc17fk3jFmjXrkQEaRSKSwsLGBiYgKpVAqpVFrtbxUKBRQKBff/crkc5ubm3HH/Jvhx0w2JRAJTU1NYWFhAJpPVeP3s+FZEqVTCysoKRASZTNYQ3W0U8LKmPf+WMWvUykUgEKBdu3aIjIyESqXCmDFjUFxczH3/5MkTJCcnAwD69OkDZ2dn7ru+ffuiuLgYMpkMFhYW3KT8GzDUuLVt27ahu25UHBwcIJFIUFxcDC8vL7Rs2ZL7TiKRIDQ0lFMiw4YN4xInBQIBOnXqhLy8PAiFQrRp08ZYl9DgCAQC2NnZoaSkhJc1DSguLsaNGzeQkJCA4uLi5j1mxlw2acKePXvIysqKbty4QUqlUu2zevVqbvkYHBys9p1KpaJ9+/aRg4MDhYeHU0pKCqWnp1NeXh6VlpaSQqEw9qXVK/qOm1AopGnTptFff/1FMpnM2JfTIJw9e5bMzMxo165dVcYsMTGRC0Xu0qUL5efnVxm3VatWkbu7e5MIE9UXhmFIpVKRUqmkXbt26SVrjo6OlJGRYexLqhfKy8vp0qVL9Pnnn5O3tzeZmpqSUCikdu3akaWlZbMes0YfLebr6wtra2sEBweDiGBiYsJ9hML/332hUKj2nVQqxf79+zFq1CgMGjQIjo6OaNWqFZRKJQoKCpCRkYGMjAzk5+ejrKyMc9Y2F/Qdtx49euDRo0d47bXX4ODggPnz5+P8+fNNts5RbUilUhw9ehQ7duyAiYkJ9u3bh7KyMrVxMTEx4X4vEAjUxk0oFCI7OxvHjx/HSy+9BEtLSyNeTf1BRGAYBiqVCiqViqutNm7cOL1kbcSIEXB0dDTWZRkUpVKJ8PBwbNy4EWPHjoWdnR0mTJiAvXv3wtXVFbt27UJSUhIiIiJgY2PTrMesUZvFAKBLly6YPXs2AgICMHnyZLzyyit1hu0xDIN9+/YhKioKp06dgqmpKUxNTbmbnmEYzs4pkUggFosBAGZmZrCysoKlpSUsLS3VJrmp4eLigvHjxyMkJETncRs5ciRiY2Nx7NgxHD16FMHBwbC1tcXkyZMxY8YMjB07FmZmZg10RYantLQUx44dw5EjR1BaWoqXX34ZPj4+2LRpE37++Wd89tlnGtUMk8lkWLduHcrLyzFjxgykp6ejZcuWaNOmDVq0aNEAV1K/MAwDepFwDeCFcjUxMeHkydXVVed79O7duzh79qya8m5KMAyD2NhYXLlyBZcvX8aNGzcgEolgbW2N0aNHY9OmTRgzZgx69+6tNiYMw+j9XGv0Y2bEVZPGZGdn05AhQ8jFxYUuXbpEKpWKiIjWrl1LpqamZGZmRgcPHiSGYUihUNCBAweoXbt2tHr1alIqlXW2r1QqSSwW0/Pnz+nZs2eUkpJCKSkplJWVRYWFhSSRSLjs2aZAWVkZXb58mQIDA6lv374GGTeGYejhw4f0xRdfUPfu3QkAtWnThvz8/OjixYskl8uNcak6kZeXR9u2baNRo0bRsGHDaPPmzZSVlUVERGKxmGbMmEGtWrWiH3/8kcrLy4lhGHr69CnZ2dmRqakpdevWjcuoLikpoZUrV1Lr1q0pKCiIGIah0tJSSk1NpYSEBEpLSyORSGTkK9Ye1uSlUChIoVCQUqms9R7Q5R61tbUloVBIW7dubVL319OnT2nPnj309ttvU/v27UkoFJKVlRWNHTuWNmzYQGFhYRqZ3ev7uWZsmoRyISKKjY2lgQMHUtu2bWnNmjWUlJREiYmJdO3aNbp27RqlpaXRw4cPafHixdS6dWt6//33qaysTKdzKRQKKi0tpby8PEpPT6eUlBRKTU2l7OxsKi4uJqlU2mhvhtzcXDpz5gydP3+eCgsL62XcGIahBw8e0OrVq6lbt24EgNq2bUsLFy6kf/75p9H6s9LS0mj9+vXk4+NDL730Ev36669UUFBQ5Xd5eXk0ffp0srKyojfffJOuX79OeXl5dPPmTbp+/TqFhYXR8+fP6dy5czRmzBhq06YN7dixo8oNLxaLKT09nRISEiglJYVKSkoardwQaa9QKqOtrC1ZsoSWLVtGAoGAZs+eTWKxuB6vTneys7Pp8OHD5O/vT127diWhUEimpqbk7e1Nq1evpsuXL1N5eblObWs6ZosWLdL7udbQNJmqyACQmZmJ5cuX48SJE2jXrh08PT3h4uIClUqF1NRUJCQkwM7ODqtWrcI777wDCwsLg5xXLpdzZjSpVAqGYSAUCjnzmaWlpdEj0YgIiYmJiI2NhYODA4YOHcr1KTMzE+vWrcPRo0dhampq0HEjIjx48IAznSUnJ6Ndu3aYMmUKZsyYgdGjRxu9HH1cXByCg4Nx5coVtG3bFrNnz8aUKVPUosEqU1ZWhj179uDnn39Gbm4uunbtiu7du8Pa2hpFRUVISEhAVlYWBg0ahK+++gqjR4+u0YwqkUhQVFQEsVgMU1NTtG3bFjY2No3C7FqdyUsoFGpcnaAyusjakSNHsHDhQri5ueHPP/9Et27dDHmJWlNSUoLr16/jypUruHLlCmJjYwEAvXr1gq+vL8aOHYtRo0ahdevWBjlfXWMWFxcHExMTbN682aDPtfqmSSkXAHjnnXdw5coVLFu2DHfv3kVeXh7MzMzg6uqKMWPGYMKECXBwcKi38xMRp2wkEglkMhnnkGMVjZWVVYM+UBUKBe7evYusrCz06NGj2ppYKpUKcXFxOHfuHCIjI+tl3IgIUVFRCAkJQUhICFJSUmBvb6+maBrKTkxEuHv3LoKDgxEREQEXFxfMnTsXr7zyilYvAjk5Obh8+TKuX7+O5ORkSKVStGnTBr1798aECRPg5eWlsV9FLpejsLAQpaWlMDExga2tLWxtbRvcdm5ohVIZXWTt0aNHmDp1KvLy8rB//3785z//MUhfNEEikSAsLAyXL1/GlStXcPfuXTAMgy5dunDK5KWXXqpXB3ptY9auXTtERUVh//79jd6JX5EmpVzy8vLg4uKC9evX49NPPwURQaVScQ5GY0D/lzQnkUgglUq5BDo2gIANEKiv/pWWliIsLAwymQxDhgyBk5OTRn2u73EjIty7d49TNGlpaXBwcMDUqVMxY8YMjBw5sl7OzTAMbty4gX379iE2NhYeHh6YP38+fH199V4pqFQqEBGEQqFebSkUChQVFaGkpAQCgQCtW7dGmzZt6vWFpL4VSk1oI2slJSWYP38+Tp8+jS+++AJfffVVvciIUqnE3bt3OSc8e/84ODhgzJgxGDt2LMaMGYOuXbsa/NyaUHnM5HI55s2bh7Fjx2LhwoVG6ZMuNCnlsmHDBmzYsAEZGRmNNoGociQam11bH5Foz549w71799CyZUv4+PigVatWerdZHxAR7ty5g2PHjiEkJATp6elo3749pk2bhhkzZmD48OF6P0QUCgUuXryI4OBgpKWlYfDgwZg3bx68vLzq/QGqKyqVCkVFRSguLgYRwcbGBm3atDGYibU6hcIqlcYKwzDYvHkzvvzyS4wbNw6HDh2CnZ2dXm0SER49elRjRJevry98fX2rRHQ1Jvbu3cvJd1MJdW8yykWhUMDV1RWTJk3Cnj17jN0djVGpVJyikUqlXIE6CwsLbmVjYWGhlVAzDIOYmBgkJSXBxcUFAwcONLpfQ1OICJGRkQgJCcGxY8fw7NkzODk5cSua4cOHa/XwKy8vx+nTp3Hw4EHk5eXhpZdewty5c9GnT596vArDwjAMSkpKUFRUBKVSiVatWqFt27Y6PUSaokKpjv/973+YNWsWWrVqhePHj2PQoEFaHZ+cnMz5TK5evYq8vDxYWFjAx8cHY8eOha+vLwYPHtxk7pu8vDz4+/tj6dKlmDRpkrG7oxFNRrkcO3YMM2bMQHR0NPr27Wvs7uiMUqnkFI1UKuWWvxYWFtzKxtzcvEZlI5VKERERgYKCAvTr1w9ubm4NfAWGg2EYREREcCuazMxMODs7cysaHx+fGh+KxcXFCAkJwdGjR1FWVoZJkyZh7ty5cHV1beCrMBxEhNLSUhQVFUEul6NFixZo27ZtnT6d5qJQKpOWlobp06cjJiYGO3fuhJ+fX42/zcnJwbVr1zi/SWpqKoRCIQYPHsz5TXx8fGBlZdWAV2BY1q9fj6ysLOzcubPRrrAq0mSUy6hRoyAQCHD9+nVjd8WgaBOJVlBQgPDwcACAl5cX2rVrZ8yuGxSGYRAeHs6taLKystChQwdMnz4dM2bMgJeXF4RCIXJycnDo0CGcOnUKAPDmm29i9uzZTcrRqQkikQiFhYWQyWSwtLRE27Zt1cyezVWhVEYqlWL58uUICAjAe++9h+3bt8PCwgIlJSW4ceMGp0yqi+gaOXIkbG1tjXsBBiQ6Ohpr1qzBxo0bm8QLdpNQLtHR0ejfvz+OHTuGadOmGbs79UZtkWhZWVlISkqCo6Mjhg8f3mTsrrrAMAxCQ0MREhKC48ePIzs7G05OTujSpQtKSkrQvn17vP3225gxY0azenhUR3l5OQoLC1FeXg5TU1PY2trC2tqaUybNUaFUx6+//ooVK1agXbt2aN++PWJiYtQiunx9fTFmzJhm95JRESLC+++/jw4dOmDNmjXG7k6dNAnlsnDhQvz9999ISUlpMjZSQ0BEEIvFiIiIQGpqKpydndGjRw+Ym5s3SCRaYyA6Ohrfffcdrly5gtLSUshkMri4uGDGjBmYMWMGhgwZ0iRMBLrCrlAkEgkKCwtRVlYGMzMz2NnZoXXr1s1WsVSM6Lpy5QpCQ0MhlUohEAhgZmaG999/H++//77RIrqMxYULF/Drr78iMDCwXlMuDEGjVy4FBQXo2LEjvvzyS6xevdrY3WlQxGIxwsPDIRaLMWjQIHTo0KHaSDRW2TSHmmjAC6UaERGB4OBg3L17F507d8a8efMwfvx4REREcCuavLw8dO7cGTNmzMD06dMxePDgZqFoajN5sbkyIpEIQqHQaLkyhoaIqtToKi0thbW1NUaNGsU54du3b4933nkHly9fxvr167Fq1apmMeeaIpVKMW/ePEyaNAnz5883dndqpdErly1btmDt2rV49uwZ7O3tjd2dBiM7Oxt37tzhIlwqbqnLUh+RaMaEYRhcuXIF+/btQ0JCAnr27IkFCxZUm/2uUqlw48YNhISE4M8//8Tz58/RpUsXbkUzcODAJnPdwP+vOKypD0WpVHJhzADQunVrtG3btkmt7FNSUjhlwkZ0mZubY9iwYVyuyZAhQ6pck0qlwldffYWNGzdi8uTJ2Lt3b7X3R3MlICAAly9fRnBwsNErg9RGo1YuKpUKbm5ueOmll7Bv3z5jd6dBICI8fvwY8fHxcHZ2xuDBgzWuPKxvJJqxkMvlOH/+PPbv349nz55h6NChmD9/vsYrEaVSievXryMkJAQnTpxAfn4+unbtyima/v37N7prBrRXKNWhUqlQXFyM4uJiMAwDa2trtG3btlE+dHJzc3H16tVqI7rY5MVhw4ZpHNF1+vRpzJs3D46Ojvjzzz/Rq1ever6CxkF2djbee+89LF++HOPHjzd2d2qkUSuXU6dOYfLkybh7967Wce5NEblczpV+6NWrF9zd3fV6KDb2mmhlZWU4ceIEDh8+jIKCAvj6+mLevHno2bOnzm0qlUpcu3aNUzQFBQXo1q0bZzrr16+fURWNIRRKdRgyV8ZQVIzounr1Kh49egQA8PT0VKvRpU9QRmJiIqZOnYrU1FQEBATgrbfeMlDvGzfffPMNCgoKsH379kb54gQ0cuUyduxYbnvZ5k5RURHCw8OhVCrh5eVlcGcdG4lWsUyNsWqiFRYW4ujRozh27BgkEgleffVVzJ07F506dTLoeRQKBa5evcopmqKiInTv3p1b0fTp06dBbsz6Uig1nYsNY5bL5bCyskLbtm1rLdJpKKRSKUJDQzkn/J07d8AwDDp37swpk/qI6CorK8O7776LI0eOYMWKFdi0aVOT3mdIE+7fv4+1a9diy5Yt8PT0NHZ3qqXRKpfY2Fj07t0bhw8fxsyZM43dnXolNTUVUVFRaN26Nby9vRtkgykiUlvVVKyJVrFMjSEdxdnZ2Thw4ABOnz4NExMTTJ06FbNmzWoQX5pCocDly5cREhKCkydPori4GB4eHpyi6dWrl0EVTUMqlJoQi8UoLCyEVCqFhYUF2rZtC2tra4O1r1Qqce/ePc5vEhoaCplMBnt7+yo1uhqihtnPP/+MTz/9FMOGDcORI0eafVjy4sWL0bVrV6xatcrY3amWRqtclixZglOnTiEtLa1R2o8NAcMwePDgAVJSUuDq6op+/foZLeqnpppohohEe/r0KYKDg/H333/DxsYGb7/9NqZPn240J6xcLldTNCUlJejZsydnOtPVdl+TQmE/xqJiroyZmRlX8l/bPmkS0cXuumisiMWbN2/irbfeglAoREhICIYNG2aUfjQEZ8+exZ49e7B3716966/VB41SuRQXF6NDhw5YuXIlvvrqK2N3p14oLy9HeHg4SkpK0L9//0ZXtsQQkWgPHz7Evn37cPPmTTg6OmLOnDl44403GlUCqFwux//+9z+EhITg9OnTKCkpgaenJ7eiqcv/01gVSnXIZDIujJlNyLS1ta1VEdQW0cUmL2oTdNIQZGdnY8aMGYiIiMBPP/2E999/v9HNhSEoLy/H3Llz8eabb2LOnDnG7k4VGqVy2bp1K1atWoX09PRmubTNy8tDZGQkTExM4O3tjTZt2hi7S3WiaSQaAISGhiI4OBhRUVFwdXXF/PnzMWHChEYfJiuTyThFc+rUKYhEIvTu3ZtTNB4eHgCalkKpDrlcjqKiIpSWlkIgEMDW1hZt2rSBiYkJF9HF+k1SUlIgFAoxaNAgzm+iTUSXsVAoFPj000/x888/Y86cOdi1a1eDmJsbml27duHWrVvYu3dvo1LwQCNULgzDwN3dHV5eXjh06JCxu2NwEhISEBsbC3t7ewwdOrTJ7CpXmcplahQKBUJDQ3Hy5EmkpqaiT58+8Pf3x4gRI5pkUqdUKsU///zDrWjEYjH69u2LadOmYerUqfDw8GhSCqU6lEol0tLSOH/JnTt3EBcXB4FAYNCILmNy+PBhvPfee+jWrRuOHz9u9F0uDU1GRgYWL16Mjz76CL6+vsbujhqNTrmcO3cOr732GsLCwuDt7W3s7hgMTXaLbIrIZDKcOXMGwcHByMzMxKBBgzB58mR4enpW2TCtsa9cKsOuUMrLy/HPP//g+PHjOHv2LMrKytCvXz9uRdOUHlhSqbTKrotKpRIuLi7w8vKCt7c3fH190bNnzyb74lOZmJgYTJ06Fc+fP8eBAwfw2muvGbtLBuXLL7+EWCzG1q1bjd0VNRqdcpk4cSIKCgoQGRnZLB6+gPpukYMHD4azs7Oxu6Q3YrEYx48fxx9//IHi4mKMGzcO8+bNg7u7u1Ei0QxFXSYviUSCixcvIiQkhFM0AwYM4IIBGtsWCHVFdLF+E7ZGF5sro1Ao0LJlS7Rt27bRm8A0obi4GPPmzcPZs2fx5ZdfYu3atY1S/nQhMjIS3377LX788UfOdNsYaFTKJSEhAT169EBwcDDmzp1r7O4YhIyMDNy7dw8tWrRo1LtFakpBQQH++OMPHD9+HAqFAv/5z38wZ84cdOzYscZj6jMSzRDo6kMpLy/HhQsXEBISgr/++gvl5eUYNGgQpk+fjunTpxulqGLFiK4rV67g+vXrKC0tRatWrdRqdNUW0WXMXJn6hGEYfPfdd1i7di1efvllHDx4sNHuaKsNDMPgvffeQ48ePfDJJ58YuzscjUq5LF++HEeOHMGzZ8+a/JKcYRg8evQIT548aXK7RVZHRkYGDh48iLNnz8LU1BTTp0/H22+/rdOeMo2hJpqhnfJlZWU4f/48QkJCcO7cOUgkEgwePJhb0XTp0sXAV/D/SU1NVYvoys3Nhbm5eZVdF3Vx+JaVlaGwsBASiQQWFhZo06YNV/K/qfLPP/9g1qxZsLGxwfHjxzFw4EBjd0lvTp06hX379mHv3r2NJkCo0SgXkUiEDh06YPny5Vi/fr2xu6MXFXeL7Nu3b5OyyVcmMTERwcHBuHTpEmxtbTFz5kxMnTrV4Ml4DVETja00zDAMgPqL8hKLxWqKRiqVYujQoZgxYwamTZuGzp0769V+Xl6eWo2uyhFdvr6+GDZsmEGjoyqX/G/Tpg1at27dZJVMamoqpk+fjtjYWPz666+NvsJwXZSVlWHu3LmYNm1ao0k6bzTK5ZdffsGHH36I1NTUWk0sjZ3msFskEeHBgwfYt28fQkND4ezsjHfeeQf/+c9/GmRFWTkSrXJNNCsrK43fwhtKodSEWCzGX3/9hZCQEJw/fx4ymQxeXl7cisbFxaXONkpLS9V2XaxYo4vNhB89enSDRHRVzJUxMTFBmzZt6syVaaxIpVJ88MEHCAwMxKJFi7Bt27YmbTHZuXMnIiIiEBQU1CisJI1CuTAMA09PT/Tt2xchISHG7o7OPH36FNHR0bCzs4OXl1ejShbUBIZhcOvWLezbtw8xMTHo3r075s2bh3HjxhnN+VlXTbTqItGMrVBqQiQS4ezZswgJCcGFCxcgl8vh4+PDrWjYl6qKEV1Xr17FnTt3oFKp0KlTJ7UaXU5OTka7FoVCgaKiIpSUlHC5Mra2to3ioaYtAQEBWLZsGbfbrSYKvzGSlpaG999/HytXrsSoUaOM3Z3GoVz++ecfvPzyy7hx4wZGjhxp7O5ojUqlwv3795Geno5u3bqhT58+TepNTqlU4p9//kFwcDCSk5MxYMAAzJs3D8OGDWt0Zo+aItFYZcMGCZiamjYKhVITpaWlnKK5ePEi5HI5OnfuDAsLC6Snp0Mul6Ndu3bcyoSN6Gps16JSqbh9ZYgINjY2aNu2baNL6KuLO3fuYPr06SgvL8eRI0caXc6IpqxevRoKhQLff/+9sbvSOJTLf/7zHzx79gxRUVGN7uapi8q7RTaltx6pVIrTp0/j4MGDyMnJwciRIzFv3jz069fP2F3TCCKCSqVCeXk5p2yUSiXnr2kMkWjVwe7Zwzrhr127htLSUpiYmEClUgEAp+CnTZvWJELXGYZBcXExioqKoFKpuH1lmpKZKT8/H7NmzcKVK1ewceNGfPrpp03ueRQWFoYNGzZg+/btRg+LN7pySU5ORrdu3bBnzx74+/sbsytaU3G3SG9vb7Ru3drYXdKI0tJShISE4OjRoygtLcXLL7+MuXPnNonAg7pMXo0hEq066oroYnddLCsrw+nTpxESEoL//e9/UCqVGDlyJGbMmIGpU6c2+nJIRITS0lIUFhZyuTJt2rRpMqVXVCoV1q5di++++w5TpkxBUFBQk9rlUqVSYeHChejXrx8+/PBDo/bF6Mrl448/xr59+5CRkdFkkrWICHFxcYiLi4OTkxOGDBnSJMwAz58/x+HDh3HixAkolUq88cYbeOedd4xqu9eEygoFAIRCoUYmL4VCoWZGqy4SrT7eritGdF29ehXJyclcRFfFXRdre+gWFRWpKRqVSoXRo0djxowZmDJlCtq3b2/wfhsKIuJK/stkMlhaWqJt27ZNJs/r1KlTmD9/PpycnPDnn3822j1TquP48eM4dOgQ9u3bZ9QXXqMql7KyMnTs2BHvvfceNm/ebKxuaAW7W2Rubi569erF1ZhqzKSnp2P//v04d+4cLC0tMWPGDLz11luNOoFMH4VSG4aMRKsIG9HFJi/GxMQAAHr27KlWo0vXHITCwkKcOnUKISEhuHTpEogIL730EqZPn44pU6YYfHM5Q1IxV8bc3JzbV6ax3zcVd7kMCgrC9OnTjd0ljRCJRJg3bx5mzpxp1D4bVbn8/vvvWLp0KZKTk/WO/W8IiouLERYWBqVSiaFDhzbqN0cAiIuLQ3BwMK5cuYK2bdti9uzZmDJlSqPNtK4vhVLb+bSNRGORSqUIDw/nwoMbMqKroKAAJ0+exLFjx3D58mUQEcaMGYMZM2Zg8uTJDbL5mi5IJBIUFRVBLBbD1NSUy5VpTP6wyojFYrz77rs4evQoPv74Y3z33XdNIiJu+/btiIqKQmBgoNEiPY2mXIgIffr0Qffu3XHy5EljdEEr0tLSEBUVBRsbmwbbLVIXiAh3797Fvn37EBkZCRcXF8ydOxevvPJKo9x0raEVSl19qakmmrm5OeLi4nD79m1cvfr/2jvz8CiqrI2f6iSEAIFACNsAYqIsA6g4oDDgwyKL0JEISAKyBRGEAYyDYyAOzMemshgEDAoKjIwgMXRCWMIeAiSAKIgssoSls3T2pbP3WvV+fzDdQ6ATsnRXVcL9PU8esZPqe7r63vueuvecc+Po3LlzpNfry0V0DR48mHx8fES1Ozc3l/bu3UsRERF08uRJ4jiOhgwZYhUaOR4iZTQaKT8/3xrEYAljlmutLwC0YcMG+vjjj2nAgAEUHh4ue8fy/v379MEHH1BISAj1799fEhskE5e4uDgaMmQIxcbGyjrsTxAEunLlCt2/f586depEL730kiwHgSAIdPr0afr+++/pxo0b1KVLFwoMDKQhQ4bIzjOUk6BUBAC6fv06HTt2zFrwsaioiBo3bkx9+/algQMH0tChQ6l3796y8WSzs7OtQnPq1CniOI6GDh1K48ePpzFjxshuGfTRXJlmzZpR8+bNZXM/HyU+Pp78/f3JycmJ9uzZQ/369ZPapEoJDg4mhUJBq1atkqR9ycRl7NixlJiYSNeuXZPNhPIoOp2Ofv75ZyooKJDlaZFEDwbokSNHaMeOHZScnEy9e/emadOm0auvviqr+1oXBMUS0XXy5EmKi4ujzMxMa0TXkCFDaODAgdSjRw9rRJpcItFskZWVRVFRUbRnzx46deoUOTk50dChQ8nf35/eeust2dSfIrKdK9O8eXNZPmmnp6dTQEAA/fLLL/Tll1/SnDlzZPF92yI+Pp5Wr15NYWFhDq1tVxGSiEtycjJ5e3vTpk2baPbs2WI3XyVycnLowoULsj0tsqysjKKjo2nnzp2Uk5NDgwYNoqlTp1LPnj2lNs2K3AUlOzubTp06Zd03uX//PnEc99ipixUtgT4ciabT6UgQBOI4rlx+jRzyPDIzMykqKooiIiLozJkz5OzsTMOGDaPx48eTn5+fbPq2IAjWkv9ms5maNGlCLVq0kF2lC6PRSMHBwbRx40aaMmUKffPNN7JcJjebzTRjxgzq3bs3zZ8/X/T2JRGXRYsW0ebNm0mj0cgyNDExMZGuX78uy9MiCwoKrDkqpaWlNHLkSJo6dapsnqosgmL5IZKPoBQVFVF8fLxVTB6N6LI8ndR0snVUJJo9ycjIoMjISIqIiKCEhARydnam4cOHk7+/P/n5+ckiV8uSK6PVasloNFKjRo2oRYsWspvAd+3aRbNmzaLOnTuTSqWSPGnRFuHh4RQREUE7duywa7HZqiC6uOh0Omrfvj1NmzaN1q1bJ2bTT8RkMtGlS5coLS2NunTpQt27d5d8QrSQmZlJu3btoujoaCIiGjNmDL3zzjuySKqTq6BUFNHVoUOHchFdjsiAr00kmlikpaVRZGQk7dmzhxISEqhBgwY0YsQI8vf3p9GjR8siebC4uJi0Wi3p9XpZ5spcvXqVxo0bR3l5efTDDz+QUqmU2qRyFBQUUGBgIE2dOpXGjh0ratuii8uuXbtoypQpdOfOHdkpvUVY5HZaJAAaN24cFRYWUkBAAPn7+8vqTHPL3oMcBOVhwsPDadKkSeTp6VmuRpfYEV1EtiPRXFxc6E9/+pOodlSERqOxPtGcO3eOZs6cSd9++63UZlkpKyuj/Px8KisrozZt2shC+CxYTrk8fPgw3b59WzarCBbWrVtHN2/epG+//VbUfu9Qcblz547NyCoAFX5IsU7vKy0tfew1k8lEZrPZZqUAnU4nWvn85OTkxzxavV5PLi4uFUaqiTVJ2eoulX2fRCRKh5ZzX7OcvPkwPM+TIAgVLpOJtXyWmJhY7acnse6b0Wh87LszGAyVnu0jxn2r6J7Joa9pNJrHbDMYDMRxXIUBEo5a/XDoM7ler6c9e/bQokWLZBcOa2uTsKKNQ7PZTNevX6dBgwY52Kr/tXf58mUaOXKkKO3VhicJi1jo9XpSqVS0cOFC2fW1R0WP53kqLS0lQRAkz0MxGo0UExNDc+bMkdQOWwAgnU5Xbq9ADvsuRqORjh49SjNnzpTalMfgeZ4SExNpwIABUpvi+GWx+Ph4+uGHHyg0NFT0DaXqYjKZKDk5mUwmE7m4uFCTJk0IAGk0GurVq5eo6+Pbtm2jF154gfr06SNam9XFEh1l2bi2iMzDXUpM4YmPj6edO3dSaGiorNblHxXg1NRUat++PQmCQDk5OdS6dWtJBXrbtm1kNpvp/fffl8yGisjMzKRWrVrJzmEICwsjLy8vCggIkNqUx9i9ezc988wz1K9fP0n7lSh7LmlpabRo0SJaunSp7PZZLJjNZrp06RJ169aN3NzcyGg0UklJCXEcR56enqInTgKg1atX0/jx42V7z3ieJycnJ+tG/sPiwnGc9b9idnCNRkMhISG0cuVK2ZQU4nneKr4mk4kEQbBGIBqNRiorK5N8D23Lli3k7Owsu8rkFudOjkdZLF++nPr160fDhg2T2pRyAKCDBw+SXq+nt956S7oIRYiEXq/HzJkzce7cObGarBYnT56E2WyW2oxyCIKARYsWIT09XWpTbMLzvPXfgiCA53nwPA9BEKyvSXFPdTod/P39kZqaKnrbFVFSUgIASE5Ofux3RUVFKCwstN43qdi0aRO2bdsmqQ22yMvLk/ze2EIQBCxYsADnz5+X2hSb3Lp1C2FhYbhy5Yok90/UaDFBEGjx4sXUt29fGj16tFjNPhFL+Qk5RaBY4HmevvjiC3r55Zdp8ODBsimNYek2Dz+VVPSaFI/mZrOZAgIC6Ouvv5ZFHajU1FTy9PQkjuNsBoxYDjyTukTL5s2bSRAEWWWeA6D09HTZRNY9DACaN28eTZ06lV599VWpzXkMo9FIcXFxlJqaSqNHjxa1erboocj473KPt7c3+fv7i9l0hezfv19WYvcoACguLo4uXbpEb7zxBvXo0UPygW9ZEpMzJpOJJk6cSBs2bJB8YrJs4lfmwGg0Gmrfvr2IVtlm586dlJycTJ988onk/cxCRkYGtWnTRjb2PAwAWrBgASmVSho6dKjU5tikoKCAVCoVdenSRbSj5CXJ0AdAa9asoW7dukk+qev1eiopKREtzLg26HQ6OnjwIGVmZtLMmTMlLYtRF8SF6IHn9t5771FwcDD16NFDanMqhed54nleFjW1jh07RocPH6YvvvhCFt8zAMrLy5PtOAVAn332GbVr144CAwNlK4JHjx617sU4GklCMDiOo+DgYLpw4QLFx8dLYYKVkydPyrbDPoqbm5u1wu2KFSuosLBQEjsAyC56pyIaNGhA//73v2nbtm107Ngxqc2pFCcnJ8rIyJDaDCIiGj58OAUGBtKMGTOsRw9ICcdxpNPpbOZZyQGO4+iTTz4hFxcXWrp0abl6enKB4zh64403qEmTJnT69GnHNyjuFk95BEHA3/72N/z++++StG82m5GUlCRJ27WlrKwM8+fPh9FoFL1tuQU+VAVBELB69Wp8//33UptSKXLY2H+Y1NRU+Pv7o6CgQGpTwPM8cnJyHntdEATrjxw4f/48ZsyYgdLSUqlNqZC1a9c63D5JxQV40DGmTZuGGzduiN72iRMnZNMha0JZWRnmzJkjert1UVyAB31t8+bN2LFjh9SmVIggCDYnUCnRarUICAhASkqK1KYgOzu7nEMlCAK0Wi1yc3ORkZEhoWXlSU1NxYQJE2Qb6SkIAoKCghw6/0kuLsADj2T69Om4dOmSaG0KgoDr16+L1p6juHHjBvbv3y9ae3LyEGvK6tWrceLECanNqBC1Wi21CY+h0+kwbdo0XL58WVI7BEFAWloadDodDAYD0tPTYTQawfM8iouLJbXtUUpKSjBt2jT89ttvUptik9TUVOzdu9dh7+/QDf3k5OSKluIe2/ACQMHBwRQREeEoc8qRk5Pz2FnyZrOZDAZDhWfMi1V6orrr7kuXLqUtW7Y4yJry2Ooutr7PhxFjc7M6fY2IaM6cOXTo0CFHm0VE/yvsaes1W6HleXl5ooVP27pvFd0zQRAoJCSEwsPDxTDNZk02ov+V5BcEgZo2bVou4ECMhMHq9DWe5ykkJIR++uknh9tF9OCMokfheZ4MBoPN+evLL7+kzz//3CG2OFRcbBWHxENl2R/N3gYgWtkOWwP+3r17pNVqqWfPnjbPcBErx0Sn0z32miAIZDQaqUGDBo9tpgMQTfge7S4ArJFjFYmIGOLyaF/Dfw8pw3/L3NtyZsTqa7Y2d7VaLZWVlZG7uzu5u7s/Zp9YARO2xqjFXls2SH3fAFjLM9nqV2Lct8rmNVsVKcS8Z3q9vly7+fn5lJqaSgqFgnr27GnTNlt5V3bBYc9EFcDzPLZv345WrVqhcePG+Pzzz6HX68U2wyZ6vR6HDx/GsWPHJNkor4ybN2+id+/euHnzptSmWBEEASaTSVZ7MJmZmZg+fToUCgVefvllxMfHS22STXieR35+PpKSkpCamiqrzd9z587B1dUVkydPlt0SqF6vx+3bt2UzZwDAt99+C47jsH79eqlNsXL37l18/PHHUCqV+Oyzz5CVlSW6DZLtuRQUFGDBggVwdnaGj48PDhw4IJUp5SgqKsK+fftw5syZcuVNpEaO4iInYTEajVi3bh08PDzg5eWFLVu2yMa2yjAajcjKyoJarUZGRoZsnJrw8HAQEZYvXy61KeWQm7gcP34cLi4umDt3riyEuLCwEGFhYfD19cWcOXMki8QFZLChf+PGDQwbNgxEhFGjRuH27dtSm4Ts7GxERkbKaiNObuJiNpthMpmkNgPAgwH+5z//Gc7Ozpg3bx7y8vKkNqnalJWVQaPRQK1WIy8vTxaOzYoVK0BE+PHHH6U2xYqcxOXGjRvw8PDAyJEjJR8LZrMZBw4cQEBAAPz9/bFv3z7JbZJcXIAHyyt79+5Fp06d4OLiguDgYBQVFUlqk1qthkqlQmJioqR2WJCTuFiERWpP7d69exgzZgwUCgUGDx6MK1euSGpPbREEAQUFBUhOTkZKSorkY0AQBEyZMgWurq44e/aspLZYkIu4ZGdnw9vbGz179kRhYaGktly9ehVz586Fr68vNm7cKIucJEAm4mKhrKwMy5cvh5ubG9q0aYP//Oc/knpw165dg0qlkkWsulzEhed5yYWlpKQES5YsgZubGzp27IiffvpJcqGzJ2azGTk5OVCr1UhLS5N0ItXr9Xjttdfg5eWFe/fuSWbHw/ZILS46nQ79+/dH69atJU3CzsnJwapVq6BUKvHRRx/JxhG2ICtxsZCcnAx/f38QEfr164eLFy9KYocgCDh//jz27t0LrVYriQ0W5CAuFmGRSvAFQUBERASeeeYZuLm5YcmSJdZS9vURvV6PtLQ0qNVq5OTkSLaHlJubi+eeew7dunWTfBxILS6CIOCdd96Bm5sbfv75Z0lsMBgM2L17N8aMGYPJkycjNjZWls6VLMXFwsmTJ9GjRw9wHIeZM2ciOztbdBvMZjNiY2Nx8OBBlJWVid6+BanFxRIZJpWwXLlyBYMHD4ZCocBbb70lCy9aLIqKipCSkoLk5GQUFBRIMpHcunULzZs3x9ChQyUNOpBaXJYuXQqO4xARESF62xZn991334Wfnx+2b98uqyjDR5G1uAAPIpK++uoreHh4wMPDAxs3bhR9o0qn0yEmJgYnTpyQbJNMSnGRMuQ4Ly8P8+fPh7OzM7p164ajR4+KboMc4HkeeXl5UKvV0Gg0kjg6cXFxcHZ2xsyZMyXzlKUUl507d4LjOHz22Weit52amorFixdDqVRiyZIlsjoIryJkLy4WsrOzMWvWLHAchx49euDkyZOitl9QUIDo6GicPXtWkoElpbiYzWbRhcVsNmPLli3w8vJCs2bNEBoaCoPBIKoNcsRgMCAjIwNqtRpZWVmiOzvbt28HEWHt2rWitmtBKnE5c+YMXF1dMX36dFHHf2lpKbZu3YrRo0djxowZuHDhgiyXwGxRZ8TFwqVLl/DXv/4VRITx48fbPDbWUWRkZCAyMlKSqCSpxEWKkOOEhAT85S9/gUKhwPTp02VVkFAulJSUIDU1FUlJScjPzxd1wgkJCQHHcYiKihKtTQtSiMudO3fQsmVLDBo0SDQHRxAEHD9+HJMmTcLYsWMRERFR55yrOicuwIMbv3PnTrRt2xZubm5YtmyZaMsEd+/ehUqlEn3NXwpxETvkWKPRYPLkyVAoFHj11Vcl2zCtK1gqAiclJSElJUW04Aae5/H222/Dzc1N9GAbscUlPz8fXbp0QefOnUXLn0pMTMSCBQugVCqxZs0a2VXJrip1UlwsFBUVYeHChXBxcUGnTp0QFRUlykR4+fJlREZGIjMz0+FtWRBbXMQMOdbr9Vi9ejXc3d3RunVrbN++XRZJhHUFk8lULstfDA+3rKwMr7zyCtq2bStqKX4xxcVgMGDIkCHw9PQUJcxXq9Vi/fr1UCqVmDdvXp2v2l6nxcVCYmIiRo0aBSLC0KFDHX42jCAISEhIwL59+0RLoBJTXMSMDIuJiUHnzp3h4uKCBQsWSB7qWpd5OMs/NzfX4d9fRkYGOnbsiBdffFG0hE+xxEUQBMyYMQMNGjTA6dOnHdqWyWRCdHQ0xo8fjwkTJiAmJqZeOFf1QlwsHDx4EM899xycnZ3x97//3aGZqiaTCcePH8ehQ4dE8aLEEhexhCUxMRG+vr5QKBQYOnQo/vjjD4e297QgCAIKCwuRnJyM5ORkh0/6V69ehbu7O5RKpShBH2KJy6pVq8BxnMMPlrt8+TJmz54NX19ffP3115JXZbAn9UpcgAedb9WqVWjcuDFatWqFbdu2OWyiLC0txcGDB3Hy5EmHDywxxEWMkOPi4mIsWrQIrq6u8Pb2xt69e+tM9Etd4tEsf51O57C2Dh8+DIVCgaCgIIe1YUEMcdmzZw84jsOSJUsc1kZmZiY+/fRTKJVKBAcH18u8rXonLhY0Gg0mTZoEIkKfPn0ctjmcn5+PvXv34ueff3boJCmGuDgy5FgQBOzatQvt27dHo0aNsHz5ckmTUp8W9Ho90tPToVarkZ2d7bDvd9OmTSAihIWFOeT9LThaXC5cuAA3NzdMmDDBIU6pXq/Hzp07MWbMGEydOhWnT5+ut85VvRUXC/Hx8XjppZdARAgMDHTIJrxGo4FKpXLoBpyjxcWRkWG//fYbXnvtNSgUCowfP17SekxPK8XFxUhJSUFSUpLDsvyDgoKgUChw+PBhu7+3BUeKS3JyMtq0aYN+/frZ3fGx7NMGBgbCz88PO3bscOjTpByo9+ICPJg4N2/eDE9PTzRt2hShoaF2L2Fx+/ZtqFQqh02cjhQXRwlLTk4OZs+eDScnJ/Ts2VP0xFdGeSxZ/o46oMxsNkOpVMLd3R1Xr16163tbcJS4FBYW4oUXXsCzzz5rdwc0KSkJn3zyCZRKJZYtWyaLQrhi8FSIi4W8vDzMnTsXCoUCXbt2xbFjx+z6/hcvXkRUVJRDaqA5SlwcEXJsMpkQFhaGFi1aoEWLFvjqq68kP1uC8T+MRiMyMzOhVquRmZlpV0erqKgIL774Ijp27OiQ5FdHiIvJZMKoUaPQrFkzu64+FBcXY8uWLXjzzTcxa9Ys/Prrr3Z777rAUyUuFq5cuYKBAweCiOxaBJHneZw+fRr79+9HcXGxXd7TgiPExRGRYadOncKLL74IJycnzJo1S5Jio4yqUVpaWi7L3179ICUlBW3btsUrr7xi96cjR4iLpXadverW8TyPI0eOYOLEiRg3bhxUKtVT6Vw9leICPJhYw8PD0b59e7i6umLJkiV2GQgGgwFHjx7FkSNH7JrMZm9xsXdkWEpKCgICAqBQKNC/f3/JjklgVI9Hs/zt5RRdvHgRjRo1wttvv21X58Xe4rJx40ZwHIfNmzfb5f1u3ryJoKAgKJVKhIaG1slTUe3FUysuFkpKSrB48WK4urqiQ4cOdjl4qqSkBPv378epU6fsNrDsKS72FBadToeVK1eicePGaNeuHX744Yd6kQD2tGEymZCdnQ21Wo309HS7OEZ79+4Fx3EICQmxg4UPsKe4HDx4EE5OTvjoo49q/V55eXkIDQ2FUqlEUFCQ5If6yYGnXlws3Lt3D35+fiAiDBo0qNYbkjk5OYiKirLbOqs9xcUeIceCIGDfvn3w8fGBq6urLI6mZtQenU5nPaAsNze31v1k7dq1ICJs377dLvbZS1x+//13uLu7w8/Pr1af0WQyQaVSYdy4cZg4cSKOHDnCnKv/wsTlEY4cOYIuXbpAoVBg3rx5tXqsTU5Ohkqlsosg2Etc7BEZdvPmTYwYMQIKhQIjR47ErVu3amUTQ148muVfWFhY4/4iCAJmzpwJZ2dnu0QL2kNc0tPT0aFDB7z88su1Wga8ePEiZs2ahTfffBNbtmyx+z5rXYeJiw0MBgO++OILuLu7w9PTE1u2bKmxd/PHH39ApVLV+nAfe4hLbSPDCgsL8Y9//AMNGjTAc889hwMHDtTbBDDGA0ckNze31ln+RqMRr7/+Opo3b15rR6S24lJSUoLevXvjT3/6EzQaTY3eIz09HcuWLYNSqURISAjL26oAJi6VkJGRgcDAQBARevXqhYSEhBq9z4ULFxAVFVWrp6DaiotFWGryyM7zPL7//nu0bdsWTZo0weeff17vE8AY/8NgMJTL8q9J5JNWq0XXrl3h4+NTqxLytREXnucxduxYNG7cGL/99lu1r9fpdNixYwf8/PwQGBiIhIQE5lxVAhOXKnD+/Hn07t0bRITJkycjLS2tWtebzWbExcXhwIEDNY5Iq4241Cbk+JdffkG/fv2gUCjwzjvv1InjVRmOoaSkxJrlr9Vqqz2x3rt3Dy1btsRrr71W4yeP2ojLwoULoVAosG/fvmpdJwgCTp06halTp2LMmDHYtWuXJMcs1zWYuFQRnuexbds2eHl5oXHjxli1alW1Opher8fhw4dx7NixGiWt1VRcahoZlpmZiRkzZkChUKBXr144c+ZMta5n1E94nkd+fn6Ns/zPnj0LV1dXTJkypUZef03F5bvvvgPHcVi3bl21rrt//z6Cg4OhVCrx6aefinqGU12HiUs10Wq1+PDDD+Hk5ITnn38eMTExVb62qKgI+/btQ3x8fLUHVk3FpbrCYjQasX79enh4eKBly5b45ptvRCmlzqhb1CbL/8cffwQRYcWKFdVutybicuLECbi4uGDOnDlVHndFRUXYtGkTfH19MXv2bFy+fLnatj7tMHGpIX/88Qdef/11EBGUSiXu3LlTpeuysrIQGRlZ7TXfmoiLJTKsqpw4cQLdu3eHs7Mz5s6di9zc3GrZyHj6sBxQlpSUhLy8vCovvS5btgxEhN27d1erveqKy40bN+Dh4YERI0ZUSQB5nkdMTAwmTJiA8ePHIzo6+qnMrrcHTFxqgSAIiIyMxDPPPIMGDRpg0aJFVQpHvH//PlQqVZUFCai+uFQn5FitVmPcuHFQKBQYOHAg89IY1UIQBBQUFFQry18QBEyePBmurq44d+5clduqjrhkZ2fDx8cH3bt3r9LBgdeuXcO8efPg6+uLDRs2sFNRawkTFztQVlaGZcuWoWHDhmjXrh127dr1xEn96tWrUKlUVa6QWh1xqWrIcWlpKf7v//4PjRo1QocOHRAeHs6iXxg1xmw2l8vyf5IA6PV6DBgwAF5eXrh//36V2qiquOh0OgwYMACtW7eGWq2u9G9zcnKwZs0aKJVKLFiwAImJiVWyhVE5TFzsSFJSEt5++20QEfr371/p0pcgCDh37hyio6Or5CFVVVyqEnIsCAJUKhU6deqEhg0b4p///CdLAGPYjYez/HNycirds8vJyYG3tze6detWpXFQFXERBAGTJk1Cw4YNcf78+Qr/zmAw4KeffsLYsWMxadIknDhxgjlXdoSJiwOIjY1F9+7dwXEc3n///Qrj+k0mE2JjYxETE/PEw4mqIi5VCTm+du0aXn/9dSgUCowePRp3796t2odiMKpJUVFRlbL8b968CQ8PDwwbNuyJ+yJVEZelS5eC4ziEh4fb/L0gCLhw4QLee+89jB49Glu3bkVJSUnVPxijSjBxcRBGoxEbNmxAs2bN0Lx5c4SFhdncGNTpdIiJicGJEycq3Th8krg8KeQ4Pz8fQUFBcHFxQdeuXR16WiCDYYHneWuWv0ajqdCJio2NhbOzM95///1Knx6eJC47d+4Ex3FYuXKlzd+npqbiX//6F5RKJRYvXszythwIExcHk52djffeew8cx6Fnz56Ii4t77G8KCgoQHR2Ns2fPVurdVSYuFRWjNJvN+O6779CqVSs0bdoUa9eutetRAAxGVTAYDMjIyIBarUZWVpZNR2rr1q0gIoSGhlb4PpWJS0JCAlxdXTFt2rTHxlFpaSm2b98OPz8/vPvuuzh//jxbAnMwTFxE4tdff0Xfvn1BRPD390dKSkq532dkZCAyMhJXrlyxeX1l4lJRyPHZs2fRp08fKBQKTJs27ak5XpUhX0pKSqwHlNnK8l+4cCE4jkN0dLTN6ysSl7t378LLywsDBw4s9ztBEBAbG4vJkydjzJgx2L17N3OuRIKJi4jwPI8dO3agTZs2cHNzw4oVK8rV6Lp79y5UKtVjJ2NaNv9feOEFnDt3rtyAtBVynJ6ejqlTp0KhUKBPnz7VCvVkMBzNwweUpaamltvv4Hke48aNQ6NGjXDp0qXHrtNoNIiNjYVGo7H2+fz8fHTr1g2dO3cul5uVmJiIjz76CEqlEqtWrapVTTNG9WHiIgGFhYX4+OOP4eLigmeffRbR0dHWgXL58mVERkYiKysLWq0W69evh4+PD4jI+uPj44P169cjLy+vnLAYDAasXbsWTZs2RatWrbB161aWXc+QLSaTCVlZWVCr1cjIyLA+UZSWlqJPnz5o164dUlNTKx0HoaGhGDhwIDw9Pa0hxFqtFhs3boSvry/mzp2La9euSfkxn1qYuEjIrVu3MGLECBARhg8fjps3b0IQBCQkJFjzTziOA8dx5QaV5f8bNWqEQ4cOAQAOHz6Mrl27wsXFBUFBQcjPz5f40zEYVcOS5a9Wq61Z/hkZGejYsSN8fHwqHAcP/6xZswYmkwn79u2Dv78/AgICcODAAeZcSQgHAMSQDAB08OBB+vDDDyklJYWCgoLolVdeoYkTJxIeiH+F13IcRxzHUZ8+fejXX3+lQYMG0YYNG6hHjx4ifgIGo/YAoOLiYiooKCAioubNm9OuXbtozpw5T7zWMg5GjRpFRERvvPEGTZkyhZo2bepIkxlPgImLTNDr9fTll1/SypUrSafTVSoqj8JxHO3YsYMmT55MHMc50EoGw7HwPE9arZbS09Opb9++pNPpqnyti4sLXbhwgXr16uVACxlVRSG1AYwHNGzYkEJCQig4OLhawkL0wOvTarVMWBh1HicnJ2rZsiUdP368WsJCRGQymSg+Pt5BljGqC3tykREA6Pnnn6f79+9X+8nF29ub7ty5wwSGUedh46B+wMRFRuTm5pKXl1etrvf09LSjRQyG+LBxUD9gy2IyoqSkpFbXFxcX28kSBkM62DioHzBxkRFNmjSp1fXu7u52soTBkA42DuoHTFxkhKenJ/n4+FR7vZjjOPLx8aEWLVo4yDIGQzzYOKgfMHGRERzH0fz582t07QcffMA2MRn1AjYO6gdsQ19mFBQUUPv27Umn05EgCE/8e4VCQW5ubqTRaMjDw8PxBjIYIsDGQd2HPbnIDA8PD4qMjCSO40ihqPzrUSgUxHEcRUVFsQHFqFewcVD3YeIiQ0aMGEExMTHk5uZmLW3xMJbX3Nzc6NChQzR8+HCJLGUwHAcbB3UbJi4yZcSIEaTRaGj9+vXk7e1d7nfe3t60fv16SktLYwOKUa9h46DuwvZc6gAAKD8/n4qLi8nd3Z1atGjBNi0ZTx1sHNQtmLgwGAwGw+6wZTEGg8Fg2B0mLgwGg8GwO0xcGAwGg2F3mLgwGAwGw+4wcWEwGAyG3WHiwmAwGAy7w8SFwWAwGHaHiQuDwWAw7A4TFwaDwWDYHSYuDAaDwbA7TFwYDAaDYXeYuDAYDAbD7jBxYTAYDIbdYeLCYDAYDLvz/7nz+JQfzy+2AAAAAElFTkSuQmCC\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.decoder.plot(metric='act')" - ] - }, - { - "cell_type": "markdown", - "id": "687b4388", - "metadata": {}, - "source": [ - "Case 4: MLP encoder, MLP decoder" - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "id": "170a99ea", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "checkpoint directory created: ./model\n", - "saving model version 0.0\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "| train_loss: 2.62e-02 | test_loss: 3.64e-02 | reg: 3.19e+01 | : 100%|█| 100/100 [00:04<00:00, 21.95" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "saving model version 0.1\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "\n" - ] - } - ], - "source": [ - "enc_type = 'mlp' # 'kan' or 'mlp'\n", - "dec_type = 'mlp' # 'kan' or 'mlp'\n", - "\n", - "model = AutoEncoder(width_enc=[4,5,2], width_dec=[2,5,4], seed=1, enc_type=enc_type, dec_type=dec_type)\n", - "model.fit(dataset, lamb=1e-3, steps=100);" - ] - }, - { - "cell_type": "code", - "execution_count": 13, - "id": "66cbcede", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.decoder.plot(metric='act')" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.7" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/tutorials/.ipynb_checkpoints/Interp_1_Hello, MultKAN-checkpoint.ipynb b/tutorials/.ipynb_checkpoints/Interp_1_Hello, MultKAN-checkpoint.ipynb deleted file mode 100644 index eb67699f..00000000 --- a/tutorials/.ipynb_checkpoints/Interp_1_Hello, MultKAN-checkpoint.ipynb +++ /dev/null @@ -1,309 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "c982abca", - "metadata": {}, - "source": [ - "# Interpretation 1: Hello, MultKAN!" - ] - }, - { - "cell_type": "markdown", - "id": "30fde2f3", - "metadata": {}, - "source": [ - "Motivation: The original KAN has some level of interpretability, but sometimes not fully interpretable (fully interpretable = convert the network to a symbolic formula). The biggest limitation is the lack of multiplications operators. The original KAN only has addition operators. Although multiplication can be expressed as addition and single-variable functions (which is the core idea of Kolmogorov-Arnold representation theorem), we still hope to explicitly have multiplications in the KANs so that multiplications can be more easily read out from KANs. " - ] - }, - { - "cell_type": "markdown", - "id": "72377ee4", - "metadata": {}, - "source": [ - "We first show how multiplications can be represented by addition and single variable functions. Usually KAN would find solutions leveraging linear functions and quadractic functions (the solutions are not unique). $$xy=((x+y)^2-(x-y)^2)/4=((x+y)^2-x^2-y^2)/2=\\cdots$$" - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "id": "76538154", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 4.38e-02 | test loss: 4.59e-02 | reg: 5.74e+00 : 15%|▍ | 3/20 [00:02<00:13, 1.30it/s]\n" - ] - }, - { - "ename": "KeyboardInterrupt", - "evalue": "", - "output_type": "error", - "traceback": [ - "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", - "\u001b[0;31mKeyboardInterrupt\u001b[0m Traceback (most recent call last)", - "\u001b[0;32m/var/folders/6j/b6y80djd4nb5hl73rv3sv8y80000gn/T/ipykernel_42203/4110680146.py\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[1;32m 6\u001b[0m \u001b[0mf\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;32mlambda\u001b[0m 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to run the backward pass\n\u001b[0m\u001b[1;32m 267\u001b[0m \u001b[0mtensors\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 268\u001b[0m \u001b[0mgrad_tensors_\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", - "\u001b[0;31mKeyboardInterrupt\u001b[0m: " - ] - } - ], - "source": [ - "from kan import *\n", - "torch.set_default_dtype(torch.float64)\n", - "\n", - "model = KAN(width=[2,5,1])\n", - "\n", - "f = lambda x: x[:,0] * x[:,1]\n", - "dataset = create_dataset(f, n_var=2)\n", - "model.fit(dataset, steps=20, lamb=0.01);" - ] - }, - { - "cell_type": "code", - "execution_count": 13, - "id": "939224b9", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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0Zs+ejQ4dOohdGpGoBh0ujDE8ePCgyjRXVlYWOI6Dk5MTP83Vp08ful4GIfg9ZLZt24bvvvsOz58/x6hRozB79mzY2tqKXRqRmAYVLowxZGZmVhmZ5OTkgOM4ODs78yd67NOnD8zNzcUulxDJKisr40Pm6dOnfMjY2dmJXRqRCJ0OF8YYMjIyqoTJ48ePIZPJ0K1bN35k4u7uTmFCSC2Ul5dj+/btWLNmDZ48eYJPP/0Us2fPhoODg9ilEZHpVLgwxnD//v0q01y5ubmQyWTo3r17lTBp0qSJ2OUSojPKy8sRGxuL1atXIzc3Fx9//DHmzJmDjh07il0aEYlWh0tlmFTuzRUfH4+nT59CT08P3bt35zfAu7u7w8zMTOxyCdF5CoWCD5lHjx7xIdOpUyexSyP1TKvDpaKiAjY2NlAoFOjRowe/zcTNzQ2mpqZil0dIg6VQKLBz506sWrUKRUVFuH//Pho1aiR2WaQeSTJcVqxYAUdHx2rdV61Wg+M4KBQK6Ovrw8DAoFqPy8vLw7hx416nTEIapGXLlqFr167Vvr9arYaenl61719eXo7S0lKMHz++FtURqdAXu4C/kpKSguDg4Grd99q1a9i8eTPu378PMzMzfPzxx/jss89e+WH29fWlcCGkFlJSUjB8+PA6OcYlPz8fI0eORPv27SlctJwkw4XjuFeOQBhj2LZtGxYtWoQxY8Zg1KhRyM7Oxrp16/Drr78iOjoa+vqSfHmEaDWO4/Duu+8iMzMTMplM0GXPmjULzZo1E3SZRBzCfjLq0cGDBzF//nzs2LEDixcvxuDBgzFhwgScOnUK9+/fx+TJkyHBGT9CdIJKpcKZM2cEXSZjDIcPH8aGDRsEXS4Rh1aGy+PHjzFp0iT88MMP6NevH3/teI7j0KJFCxw7dgzHjx/Hf//7X5ErJUQ3hYSEYPr06YIu88WLF2CM0eUodITWhQtjDP/617/g6+sLLy+vv7yPubk5fvjhB0ycOBEqlaqeKyRE902aNAkPHjwQdHZgxowZVX4sEu2mdeFy9OhR5ObmYvHixf/4Iezfvz9sbW3x9ddf12N1hDQMRkZG4DgOz58/F2R5jDHs3bsXmzdvFmR5RHxaFS6MMfj5+SE2NvaVe4NxHIf9+/dj06ZNUKvV9VQhIQ3HwIEDq71X56sUFBSAMYZ27doJsjwiPq0Kl3379sHIyAgDBgyo1v3btGkDKysrhIWF1XFlhDQ8EREROHLkiCBTY/7+/hg8eDBNiekQrdlXlzGGwMBA7N27t9ofQI7jsHv3bvTv3x/BwcH0wSVEQK1btwZjDHK5HI0bN671chhjOHr0KH777TcBqyNi05qRS2JiItRqNTw8PGr0uC5dugAA7t+/XxdlEdJgcRyHHj16YMGCBa+1nLS0NOjp6dE1k3SM1oTLmDFjsGDBghqPPjiOw7Rp0/DFF1/UUWWENFzR0dHYunXra02Nff755wgMDKSZBR2jFeGiUCiQk5ODyZMn1+rxc+fORUpKCh1USYjAbG1toVarUVRUVKvHazQapKSkIDQ0VODKiNi0IlwWL14MR0fHGp387mVGRkYwNjbGxYsXBa6MkIaN4zi8/fbbCAwMrNXjo6Ki0Lp1axgZGQlcGRGb5DfoM8awceNGXLp06bWWExoaikmTJiExMVGgygghABAZGQl7e3swxmo0tcUYQ2hoKI4dO1aH1RGxSH7kkp+fD7VaDVtb29dazuTJk5GVlUVTY4QIrEWLFjA0NMSVK1dq9Li0tDSo1Wq4urrWUWVETJIPF39/f7z33nuvvbHPwMAAenp6yMzMFKYwQgiA36fGli5dijFjxlT7xxtjDJ988glCQkJoQ76OknS4MMZw6tQpRERECLK8ESNG1HpumBDy9yZMmIAnT54gPz+/Wvd/9uwZfvvtN8ycObOOKyNikXS4VJ4SwsLCQpDlffvttzh//rwgyyKE/H8ymQwjR47E6NGjX3lfxhg+/vhjeHt713onHSJ9kt6gP2vWLAwYMECwYXPz5s3BGENFRYUgyyOE/H8RERFo2bIlnj17BktLy7+9X3p6Om7duoVffvmlHqsj9U3S4XLo0CFB9+7iOA4tW7bEnj17BFsmIeR3xsbGGD9+PD766COcO3fuL38UMsbw/vvv46uvvoKhoaEIVZL6ItlpMYVCAY1Gg7Zt2wq63MWLF7/26SoIIX9t9erVSEtLw6FDh/50G2MMy5cvh0ajwZdffln/xZF6JdmRy8aNG2FjYyP4niQfffQRUlNTkZqaKuhyCSG/75W5Z88ejBgxAvb29nBycgLHcWCM4aeffsLKlStx+fJlyGSS/V1LBCLZd3jlypUIDw8XfLn6+vp0qglC6pCXlxfmz5+PYcOGYceOHbhx4waWL1+OSZMmITY2FnZ2dmKXSOqBZEcuTZs2hYeHBx30SIgEvWq9nD59OqysrLBhwwYUFRXBysoK+/fvh7u7O63TDYQkw6V58+aYMWNGnZ4WwtnZuc6WTYgus7CwwE8//fTK+xkbG2PKlCkoKSmBubk5nj9/Xq3HAbR+6gKOSfBnhEqlqvPn4DiO9rEnpBZo/STVIclwqQnGGNRqNfT09Og0EoRIDGMMGo0GMpmM1s8GRrIb9KsrMTERlpaWdLZjQiTo1q1bMDc3x61bt8QuhdQzrQ8XQggh0kPhQgghRHAULoQQQgRH4UIIIURwFC6EEEIER+FCCCFEcBQuhBBCBEfhQgghRHAULoQQQgRH4UIIIURwFC6EEEIER+FCCCFEcBQuhBBCBEfhQgghRHAULoQQQgRH4UIIIURwFC6EEEIER+FCCCFEcBQuhBBCBEfhQgghRHAULoQQQgRH4UIIIURwFC6EEEIER+FCCCFEcBQuhBBCBEfhQgghRHAULoQQQgRH4UIIIURwFC6EEEIEpy92Aa+DMYaCggJoNBoUFBSAMQaO48QuS9IYY8jLy0NJSQlMTU1hYWFBPasG6lvNVa6fL/+XevZqOvNZY1qooKCArV27ltnZ2TEA/B87Ozu2du1aVlBQIHaJkkM9qx3qW81Rz2pH1/qmdeFy4sQJ1rhxY8ZxHOM4rsqbUPlvjRs3ZidOnBC7VMmgntUO9a3mqGe1o4t906pwOXHiBNPT02MymaxK8//3j0wmY3p6elr1RtQV6lntUN9qjnpWO7raN44xxl57bq0eFBYWwsrKCmVlZdBoNK+8v0wmg4mJCbKzs2Fubl73BUoQ9ax2qG81Rz2rHV3um9bsLRYTEwO5XF6tNwAANBoN5HI5YmNj67gy6aKe1Q71reaoZ7Wjy33TipELYwwODg7IyMhATcrlOA62trZIS0vTzr0tXgP1rHaobzVHPasdXe+bVoTL8+fPYWlp+VqPt7CwELAi6aOe1Q71reaoZ7Wj633TimmxkpKS13p8cXGxQJVoD+pZ7VDfao56Vju63jetCBdTU9PXeryZmZlAlWgP6lntUN9qjnpWO7reN60IFwsLC9jZ2dV4fpHjONjZ2aF58+Z1VJl0Uc9qh/pWc9Sz2tH1vmlFuHAch4CAgFo9NjAwUNIbveoK9ax2qG81Rz2rHV3vm1Zs0Ad0e3/wukI9qx3qW81Rz2pHl/umFSMXADA3N8f+/fvBcRxksn8uWyaTgeM4HDhwQPJvQF2intUO9a3mqGe1o9N9q+9TAryu6p6D5+TJk2KXKhnUs9qhvtUc9ax2dLFvWhcujP1+9tCwsLC/PHtoWFgYKywsFLtEyaGe1Q71reaoZ7Wja33TynCppNFo2OnTpxkAdvr0aabRaMQuSfKoZ7VDfas56lnt6ErftGaby1/hOI6fezQ3N5f83hNSQD2rHepbzVHPakdX+qbV4UIIIUSaKFwIIYQIjsKFEEKI4ChcCCGECI7ChRBCiOAoXAghhAiOwoUQQojgKFwIIYQIjsKFEEKI4ChcCCGECI7ChRBCiOAoXAghhAiOwoUQQojgKFwIIYQIjsKFEEKI4ChcCCGECE5rw6WkpASpqam4ffs2ACA3NxdKpVLkqqSvpKQEDx48AAAkJycjKyuL+vYKFRUVyMnJQXJyMgAgPT0d+fn50Gg0IlcmbfRZqzld+l7jGGNM7CJqIiMjA1FRUfjvf/+LrKwsVFRUQKFQoEmTJujRowfGjRuH4cOHw8zMTOxSJeXlvj148ABlZWUwNDRE48aN4ezsTH37C4WFhdi/fz++//57JCUlobi4GEqlEsbGxrC0tES/fv3g4+MDDw8P6Ovri12uZNBnreZ08XtNa8JFrVZj165dCA0NRVlZGYYMGYKBAwfC2toaGo0G9+/fx/Hjx3HmzBn07NkTERERcHR0FLts0VHfaufChQsIDg5GYmIiXF1dMWzYMHTr1g2mpqYoLCzEtWvXcOTIEdy/fx8jR47E4sWLYWlpKXbZoqLPWs3pdM+YFlCr1Wz9+vWscePGbMiQIezWrVtMpVKxhIQEFhYWxsLCwlhycjJTKpUsLi6Oubi4sE6dOrHbt2+LXbqoqG+1c/LkSdamTRvm4ODA9u3bx+RyOSssLGSbNm1iYWFhbNu2baysrIy9ePGCbdmyhbVt25YNHDiQ5ebmil26aOizVnO63jOtCJczZ84wc3Nz9vHHH7P8/Hym0WgYY4zNnz+fAWAA2I4dOxhjjGk0GvbgwQPWt29f5unpyQoKCkSsXFzUt5q7d+8e69ChA3NycmJ37tzhe5aens6aNm3KALAOHTqw/Px8xtjvfTt79iyzsrJin3/+OSsvLxezfNHQZ63mdL1nkt+gX1ZWhkWLFqFVq1b47rvvYG5uDo7j/vb+HMehffv2iIiIQGpqKnbu3FmP1UoH9a3m1Go1vv32WxQUFGDdunVwdHT8x54Bv/fN09MTK1aswOHDh3HixIl6qlY66LNWcw2hZ5IPl2vXruHixYuYOnUq2rVr98qVHfj9jejevTs+/fRTbN++HXK5vB4qlRbqW83dv38fR44cwfDhw+Hp6VmtngG/9+3DDz+Eu7s7IiMjoVKp6rhSaaHPWs01hJ5JfheXX3/9FUZGRnj33XeRnJxcZcV98uQJ//eHDx8iMTGR/39zc3N8+OGH2LlzJzIzM7VnI5hAqG81l5CQgJKSEowYMQKZmZkoLS3lb8vOzoZarQYAKJVKJCUloUmTJvztbdu2xfDhw7Fw4ULk5ubCysqq3usXC33Waq5B9EzseblX+fzzz1nHjh1Zamoqs7a2ZsbGxvwffX19fm7SwMCgym3e3t7st99+Yy1atGDHjx8X+2XUO+pbzc2ePZuZm5uz5ORk9s4771Tpi5GREd8zjuOq3GZiYsI2bNjAzp07x8zMzNilS5fEfin1ij5rNdcQeibpkQtjDOXl5TAyMoKenh7Ky8tRXl7+l/etqKhARUUF//9KpRKGhob84xoS6lvtlJWVQV9fH0ZGRlAoFH/7+iv7+zKVSgUTExMwxqBQKOqjXEmgz1rNNZSeSTpcOI5DixYtcPnyZajVagwYMACFhYX87WlpacjIyAAAODs7o23btvxt3bp1Q2FhIUpLS7FlyxZkZGTA2dkZTk5OaN26dbXn07WREH1TKBRo3rx5fZcuqpYtW6KsrAyFhYVwc3ND48aN+dvKysqQkJDAh0jfvn35Ayc5joO1tTWePn0KmUyGZs2aifUS6pVKpcKNGzeQnZ2NwsJC+qxVU4NZP8UcNlVHZGQkMzExYWfPnmUqlarKn9DQUH74GBMTU+U2tVrNtm/fzszNzVlQUBD78MMPmaurK3N1dWVDhgxhs2bNYrGxsezGjRs6ufvo6/atdevWLDs7W+yXUa+OHTvGDA0N2aZNm/7Us9TUVH5XZBsbG/b8+fM/9W3OnDmsY8eOWrGbaG09fvyY7dmzh02dOpV1796d2dvbMxsbG2ZsbEyftRpoCOunpEcuAPD222/DzMwMMTEx6NOnT5XTbMhksip/19PT4/9fLpcjNjYW7777LlavXg09PT0UFBTg9u3buHPnDm7fvo3IyEiUl5dDT08PDg4O6NatGz+6adu2rVaPbl63b56enmjdunW91iy23r17w9bWFjExMRg9enSVDfYv94jjuCp9Y4zh0aNH2LdvH/7973+jadOm9V57XamoqMDVq1dx9uxZnD17FqmpqZDJZOjevTt8fX3Rv39/mJiYwMPDgz5rNdAQ1k/Jh4uNjQ3GjBmDqKgofPTRRxg6dOgrv/Q1Gg22b9+OGzdu4NChQ/yb06xZM/Tv3x/9+/cH8PtxDenp6bhz5w4SExNx4cIF/Pjjj/x9nZ2d+bBxdHSEiYlJ3b5YAQnZt4bCwsIC06ZNw4wZMxAeHo6QkJBqnTNMoVDgm2++QVlZGSZNmqTVP0oAICcnhw+ThIQEyOVytGjRAv3798fUqVPh6elZJUA1Gk2tP2vx8fH46quvqnyhNgQNYv0Ue+hUHY8fP2aurq6sffv27JdffmFqtZoxxtjXX3/N9PX1mYGBAdu5cyfTaDSsoqKC7dixg7Vo0YKFhoYylUpVo+cqLCxk8fHxbOPGjWzq1KnMy8uLubq6Mjc3NzZmzBi2bNkydvToUfbw4UP+iFqpqs++6YqSkhL26aefMlNTU7Z69Woml8uZRqNh6enpzMLCgunr6zN7e3v+iOqioiI2e/Zs1rRpUxYdHS12+bWiUChYfHw8W7JkCRs8eDCzt7dnnTp1YqNGjWIbNmxgSUlJ/Gfn79T2s+bm5sbs7OyYr69vgzt9jq6vn1pz4sq7d+9i7NixyMzMxJQpU+Dt7Q2NRoNHjx4BADp06ICioiJs2LABu3btwueff44VK1agUaNGr/W8Go0GGRkZ/FTa7du3kZmZCQBo2rQpnJyc+BGOo6NjlY3AUiBW37TZs2fP4O/vj59++gmDBw9GcHAwunTpgnv37kGj0cDQ0BD29va4fPkyVq1ahZs3b2LRokWYMmWK9H9N/iErKwtxcXGIi4vDpUuXUFZWhpYtW8LLywv9+/dH3759q0wLVkdtP2sXL17E/PnzUV5ejnnz5mH48OFaP/qrLl1eP7UmXIDfD2Tz8PDA48eP0bRpUzg6OqJ9+/ZQq9XIzMzEvXv3YGFhgTlz5mDs2LEwMjKqkzqKi4uRlJTEh82dO3dQUlICjuNgZ2dXJXCsra1FH/Ln5OTgm2++wZ49e6Cvry9a37RJaWkpIiMjER4ejidPnsDW1hYODg4wMzNDQUEB7t27h0ePHqFXr15YsGABvLy8RH+f/0l5eTkuX76MuLg4nD17FpmZmdDT04OLiwu8vLzQr18/dOrU6bW/1Gv7WSsqKsK3336LAwcOoF+/fliyZAnatGkjxEuXPF1dP7UqXH7++WdMnDgRixcvRnZ2Ni5fvoynT5/CwMAAHTp0wIABAzBo0CC0bNmyXuvSaDT8kbSVI5yMjAwwxmBmZgYnJyc4OTmhW7ducHR0FOWaDGq1GsnJyTh69Khk+qYNcnNzcfr0acTFxSEjIwPl5eVo1qwZnJycMGjQILi5uUnyVyRjDA8ePMDZs2f50YlCoUCbNm340UmfPn1gamoq+HO/zmctLi4O8+bNQ0lJCebOnYtPP/20QYxidHH91JpwYYzhX//6F5o0aYIffviB/ze1Wg2O4yQ3HVFaWsqPbioD58WLFwB+H+q+vLNAhw4d6vVXr5T7JmVqtRqMMchkMkmOUsrKynDp0iV+uisrKwsGBgZwdXVF//794eXlBTs7u3r9sq7NZ624uBhLly7F3r174eHhgSVLlqBdu3Z1XKl06Mr6qTXhcvLkSUyZMgW7du2Cm5ub2OXUGGMMWVlZ/FTa7du3kZ6eDo1Gg8aNG6Nr16582Dg7O9d4vps0PIwxZGRk8FNdV65cgVKpRLt27eDl5QUvLy+4u7tLcmRVHefOncO8efNQVFSEkJAQjBw5UpKhTv6aVoSLRqPB+++/j2bNmuH7778XuxzByOVyJCcnVwmcyiN1ra2t+dGNs7MzbG1ttfpXDBGGXC5HQkICv6twTk4ODA0N4ebmxo9ObGxsdGYqqaSkBMuXL8fu3bvh7u6OpUuXNqiTgmozrQiXEydOYOrUqdizZw9cXV3FLqfOMMaQk5NTZc+01NRUaDQamJiYwNHRscp0WkM5zUhDxhhDWloaHyZXrlyBSqXCG2+8wW+Id3Nz06pjsGojISEBoaGhyM/Px+zZs/HZZ5/RKEbiJB8uGo0Gw4YNg4WFhVZcIEdo5eXlSElJqTK6ycvLAwBYWVlVmUqzt7ev1kF/RNpKSkqQkJDAT3fl5ubC2NgY7u7u6NevH7y8vPDGG2+IXWa9Ky0txcqVK/H999+jd+/eWLp0KaytrcUui/wNyYfL8ePH4e/vj71796JXr15ilyM6xhhyc3Or7AZ97949qFQqGBkZwdHRkd8zzcnJCRYWFmKXTF6BMYZ79+7xG+KvX78OtVqNDh068NtOXFxcYGxsLHapknDx4kXMnTsXz58/x8yZMzF27FgaxUiQpMNFo9Fg6NChaNmyJWJjY8UuR7KUSiU/uqk8lc2zZ88AAG3atKkyldaxY0cYGBiIXDF58eIFzp8/z49Onj17BhMTE/Tp04ffVZi2Lfw9uVyO1atXIzY2Fi4uLli6dClsbGzELou8RNLhcvToUQQEBGDfvn3o2bOn2OVoladPn1aZSktJSUFFRQUMDQ3RuXNnPmy6desGS0tLscvVeRqNBsnJyXyY3Lx5E2q1Gvb29nyYuLi4wNDQUOxStcqVK1cQEhKCJ0+e4Msvv8S4ceNoxxeJkGy4qNVqDB06FK1bt0ZMTIzY5Wg9pVKJ1NRUfmeBO3fu4PHjxwB+v47Jy3umderUib7kBFBYWIj4+HicPXsW586dw/Pnz9GoUSN4eHjwJ1B9+VodpHbKysqwZs0axMTEoHv37li2bBlsbW3FLqvBk2y4HDlyBEFBQdi/fz969Oghdjk66dmzZ1VOY3P37l0olUoYGBigU6dOVXYWaNWqlc7s3lpXNBoN7ty5wx8Vn5iYCI1Gg86dO/Mb4nv27EnTknXk2rVrCAkJwaNHjxAcHAxvb28axYhIkuGiVqsxZMgQtGvXDtu2bRO7nAZDpVIhLS2tys4COTk5AIAWLVpUCZsuXbpozTmO6lJ+fj7OnTvHj04KCgpgZmZWZXTSqlUrsctsMMrLyxEWFobo6Gg4OTlh+fLlsLe3F7usBkmS4VI5ajl48CDefPNNsctp0PLz86tMpSUlJfEXWOvYsWOVnQW0/QJr1aFWq5GYmIi4uDicO3cOt2/fBmMMjo6O/EGM3bt3p13CRXbz5k3MmTMHWVlZCAwMhJ+fH41i6pnkwkWtVuO9995D+/btER0dLXY55H9UXmDt5Z0FsrKyAGj/Bdb+zrNnz/jRSXx8PIqKitC0aVN4enqif//+6NevH+0UIUEKhQLh4eGIiopC165dsWzZMnTs2FHsshoMyYXL4cOHERwcjEOHDqFbt25il0OqobCwsMq2m6SkJMjlcshkMjg4OFS5BIGVlZXkRzdqtRo3btzgt53cvXsXAODs7MyPTrp160a/hLVEYmIi5syZg8zMTAQEBGDixIk0sqwHkgoXtVqNQYMGwcbGBlu3bhW7HFJL1bnAWuVBnl27dpXEiRWfPHmCc+fOIS4uDufPn0dxcTHMzc35DfGenp50QKoWUyqVWLduHbZs2YJOnTph+fLl6Ny5s9hl6TRJhcvBgwcxY8YMHD58GM7OzmKXQwRUXFyMO3fu8Ad5JiUlVbnA2ss7C9THBdZUKhWuXbvGn7MrJSUFHMehW7du/FHxXbt2pdGJjrlz5w7mzJmD9PR0+Pv7Y/LkybT3Xh2RTLio1WoMHDgQdnZ2iIyMFLscUsc0Gg0ePHhQZc+0ur7A2uPHj/kN8efPn0dpaSksLCyqjE7Mzc1f/8URSauoqMCGDRuwceNGODg4YPny5XB0dBS7LJ0jmXA5cOAAZs6cif/+979wcnISuxwigpKSEty9e/dPF1jjOA42NjZVDvS0sbF55ehGqVTi6tWr/OgkLS0NMpkMPXr04HcTdnR0pPNSNVB3797FnDlzkJaWhkmTJsHf358OHhaQJMJFrVbj3XffRceOHbF582axyyES8aoLrFWObiqn1Jo0aYKcnBz+FCsJCQkoKyuDpaUlHyYeHh5o2rSp2C+NSERFRQU2b96MdevWwc7ODsuWLaMpeYFIIlz27duH2bNn48iRI+jatavY5RAJq7zAWmJiIu7cuYNbt27h0aNHePHiBVQqFSoqKmBsbIyePXti6NCheOutt9C5c2fJ76FGxJWSkoKQkBCkpKTAz88PAQEBNIp5TaKHi0qlwrvvvovOnTtj06ZNYpZCtMTDhw/50cmFCxdQWlqKRo0aoXXr1uA4DkVFReA4Do0aNUKXLl34PdPoAmvkn6hUKmzZsgURERGwsbHB8uXL6XCI1yB6uOzduxdz5szB0aNH0aVLFzFLIRJVVlaGy5cv88edPHjwAPr6+nBxceHPKOzg4MCPTsrLy5GcnMzvmXb79m3k5+cD+PMF1hwcHGiPMFJFamoqQkJCkJSUBB8fHwQFBdGpjmpB1HBRqVR455134OjoiI0bN4pVBpEYxhgyMzP5MLl8+TIUCgXatm3LH8TYp08fNG7cuNrL+7sLrBkbG6NLly5VzixAx7MQtVqNqKgohIWFwcrKCsuXL6cT6NaQqOHy448/IiQkBMeOHaMDmhq4srIyXLhwgQ+U7OxsGBgYwNXVlT/uxNbWVrBtJwqFAikpKVUO9Hz5AmuVU2mVoxs6FqJhun//PkJCQpCYmAhvb29Mnz5dJ05pVB9EC5eKigq88847cHZ2xvr168UogYiIMYb09HR+28mVK1dQUVEBKysrPkzc3d3rdUV+8uRJlbB5+QJrXbp0qXIaGzqXWMOhVquxbds2fPfdd2jbti2WLl0KFxcXscuSPNHCZffu3QgNDcXx48fRqVMnMUog9ay0tBQJCQn8cSePHj2CkZER3Nzc+F2FbWxsJLNnV+UF1l4+7iY3NxcA0KpVqyphQxdY032//fYbQkJCcOPGDXzxxReYMWMGjWL+gSjhUlFRgQEDBqB79+5Yt25dfT89qSeMMaSmpvJhcvXqVahUKtjY2PBh0rt3b61aQZ89e8afxubvLrBWue2GLrCme9RqNWJjY7FmzRq0bNkSS5cuRe/evcUuS5JECZddu3Zh/vz5OHHiBBwcHOr76UkdKi4uRkJCAj/d9eTJExgbG8Pd3Z3fs8va2lrsMgXzvxdYu337Nh49egQAsLS0rHKQJ11gTXdkZmZi7ty5uHr1KsaOHYuZM2dK4gSsUlLv4VI5aunZsyfCw8Pr86lJHWCMISUlBXFxcYiLi8ONGzegVqtha2vLbztxcXFpUF+q+fn5VabS7t69+5cXWHN2dkbbtm3FLpfUkkajwc6dO7Fq1SpYWFjg22+/RZ8+fcQuSzLqPVwOHTqEGTNm0KhFRzx9+hQeHh4wMTFB3759+dFJu3btxC5NMtRqNe7fv19lZ4GsrCzY2Njgxx9/FLs88poePnyIuXPn4tq1azh9+jR99v8gSLjUZBGMMSiVylr9kqX56/pTk/e0vLwcRkZGtXp/dOk9rUnPVCoVf5xNTelSz6Sspt9rCoWC3s+XCHI5trCwsDo9ur68vBwlJSUYM2ZMnT0HqSoiIgKWlpZ1ekBhXl4eRo8eXWfLr2+RkZFo3rw5WrRoUWfPkZeXhxEjRtTZ8sn/FxERgTZt2tTpiU51bR14mSDhkp6ejoCAACEW9Se3bt3CV199BWtrawqXepSRkYHdu3fjwIEDdXZMR1BQkE6tWJmZmTh48CDGjx+P4cOH18mp/ENDQylc6klGRgb27duHEydO1Nk2Q11bB14myKef4zjo6ekJ/ketVmP8+PGYOHGiEGWSGvrggw/4D35dvL+6huM4LFiwAHv37sWsWbNQXFxMPdNydnZ2CA4Ohkwmo3WghiR7lSS1Wg0/Pz84OTnh3//+t9jlNEizZs2CiYkJvvrqqxrNPzdk7u7u2L59O0xNTTFu3DhkZGSIXRJ5DRs2bMDZs2dx48YNsUvROpIMF7lcjqCgIDx+/Bjbtm3T2Q1eUieTybB7924cO3YM+/fvp4CpJlNTUyxatAgffPABfHx8cOPGDeqdljIxMcGqVavg7e2NrKwsscvRKpIKF8YYrl+/jk8++QR5eXnYt29fgzo+QoqaNGmCHTt24Ouvv8a1a9fELkdryGQyeHt748svv0RgYCAuXrxIAaOlhg4dCm9vb3z88ce4cuUKvY/VJIlwYYzh0aNHCAkJwaRJkzBs2DDExMSgSZMmYpdGADg7O2PlypXw9vbGvXv3xC5Ha3Ach/fffx+LFi3CrFmzEB8fT19MWojjOAQFBSEoKAj+/v5YunQp8vPz6b18BdHDhTGG/fv348MPP4RSqcS+ffswZcoUOgmgxAwdOhQzZ87EqFGjkJaWJnY5WoPjOLz11ltYtmwZ5s6di7i4OPpS0kIcx2H06NHYtWsXHjx4gOHDh+Pw4cP0Xv4DUcNFo9FgyZIlWL58OVasWIHVq1fjjTfeoG0sEsRxHL744gv4+/tj5MiRuHXrFq1Y1cRxHDw8PLBy5UrMnz8fp0+fpt5pIY7jYGdnhw0bNiA0NBSrVq3C/PnzoVarxS5NkkQLF8YY5s2bh1OnTuHQoUN466236uS4ACIcjuPg4+ODmTNnYty4cfj555/pS7KaOI6Du7s71qxZg4ULF+LUqVPUOy2lp6eHQYMG4cCBA7h58yaCg4PpvfwLonybM8awZMkSxMXF4eDBg3QuHi1SOT2wZs0azJ07F+Hh4aioqBC7LK3AcRx69+6NsLAwLF68GEeOHKEvJS3WsmVL7NmzB7dv38bixYvpvfwf9R4ujDFs374de/fuxaFDh+h65VqI4zgMGDAAe/bswalTp+Dr68tfRIu8Wq9evbB+/XqsWbMGP/zwA30paTFTU1Ps27cPe/fuxdGjR8UuR1LqPVzOnj2LZcuWYe/evWjZsmV9Pz0RCMdxsLe3x549e2BlZYXhw4fTVE8NdOvWDVu2bEFMTAzWrVtH8/ZazMLCAtu3b8esWbPw+PFjscuRjHoNl/T0dEycOBEbN25Ex44d6/OpSR0xNTXF4sWLMX/+fHz99df4z3/+A7lcLnZZWqFjx47Yvn074uLiMHfuXJSUlIhdEqmlHj16YPLkyfj000/ph8If6i1cCgoK8PHHH2PWrFkYMGBAfT0tqQccx2HIkCHYt28f0tLSMGrUKGRmZopdllZo27Yttm3bBqVSCR8fH6SkpNDoTwtxHIfAwECYm5tj3rx59B6insJFLpdj+PDhGDp0KHx8fGhXYx3EcRysrKywbds29O/fH5988gnOnTtHK1k1mJmZYdWqVXjvvffg7++P2NhYqFQqscsiNcRxHH744QccOXIEcXFxYpcjujoPF4VCgdGjR8Pe3h7ffPMNBYuOMzQ0xIwZM7BgwQIEBATQOcmqSV9fH+PHj0d4eDiOHTuG4OBgFBcXi10WqSEzMzNs2rQJ/v7+eP78udjliKpOw6WsrAxjxoyBmZkZNm7cSMexNBAcx2HYsGGIiorCkiVLsG3bNgqYauA4Dl27dkV0dDRMTU0xfvx4FBUViV0WqSFPT0989tln+OSTT6BUKsUuRzR19m3/4sULjBo1CmZmZoiOjoa+viDXJSNaguM4uLi4YPfu3Vi/fj2ioqIoYKqpcePGWLx4Md58801MmDCBpsi0DMdxmDt3LqytreHt7d1gA6ZOwuXp06f46KOP0L59e2zZsoXOE9aAderUCT/++CPWr1+PnTt3UsBUk56eHubPn4+mTZvSBmItJJPJEBkZiYqKCvj5+aG0tFTskuqd4OHy22+/4YMPPkDfvn0RFhYGAwMDoZ+CaBk7Ozvs2rULK1aswLFjx8QuR2vIZDKsX78eZ8+eRVJSktjlkBoyNDREbGwsDAwMMGrUKKSnpzeoHwmChktSUhKGDx+OkSNHYtGiRTp/GU9SfV26dEF0dDRmzZpF14WpARMTEyxYsADTpk1rUF9MusLY2BibNm2Cl5cXRo8ejZiYmAZzHJhg4XLr1i2MGjWKv+4B7RVG/peLiwuWL1+O8ePH49GjR2KXozUGDx4Mxhji4+PFLoXUgr6+PmbMmIGIiAgcOnQII0eOxMGDB/HixQuxS6tTgoXL2LFjMW/ePIwbN46ChfylyotnTZgwAd7e3mKXozU4jsOyZcuwbNkysUshtcRxHNzc3LB79254e3sjNjYWI0eOFLusOiXILlwGBgYYOXIkWrZsiTNnzgixyD+xsrKqk+WSv2ZgYIBff/21TpbdvXt3mJub69zJLg0MDOp0dDFu3Dga8dWjuloHmjdvjsmTJyMpKQkKhULw5UsFxwSYyC0vL6/2fRljUCqVMDIyqtFzyGQy2uusHtXkPS0vL4exsXGNn0PX3tOa9KzyMgU13eFFT0+PdpKpJzV5PyvvX9P1QNfWgZcJEi41UVpairy8PBgbG6Np06Y1DhkiLcXFxXj+/DksLS1hamoqdjlaIycnB0VFRTA3N0eLFi109gumIWCMIS8vDyUlJWjXrh2F/x/q/ZB5ExMT3L59G2PHjkWXLl3wxRdf0N5DWmr//v3o1asXoqOj0ahRI7HL0SrNmjXDtWvXMH78eLz11lv49ttv6XTtWkij0SA0NBR9+/bFzZs3KVheUu8jl0oajQYnTpxAeHg4UlNT4eHhgaCgILi4uIhRDqmhffv2ITQ0FKNGjcLChQvp1D61JJfLsX//fuzcuRMvXrzA+++/D29vb7Rt21bs0sgrVAbLwYMHsWLFCnzwwQdilyQpooVLJY1Gg1OnTiE8PBwpKSno06cPgoKC0Lt3bzHLIv/gxx9/xLx58/DZZ59h4cKFtHegAMrKynDgwAHExsbixYsXGDZsGLy9vekS4BKlVqsRGhqKQ4cOYdWqVfjXv/4ldkmSI3q4VNJoNPj5558RHh6O5ORkuLu7IzAwEO7u7mKXRl6ye/dufPXVV/j888/x9ddfU7AIrLy8nA+ZwsJCDB06FN7e3mjfvr3YpZE/qNVqzJ07F4cPH8bq1avx/vvvi12SJEkmXCppNBr88ssviIiIQFJSEtzc3PiQoS8ycVUGyxdffIH58+fT+1GHysvLcfDgQcTGxqKgoABDhgzBhAkTKGREplarERISgiNHjmD16tUYNmyY2CVJluTCpRJjDKdPn0Z4eDju3LkDV1dXTJ8+nUJGJLt27cLXX39NwVLPFAoFDh06hJiYGOTn5+O9997DhAkTYG1tLXZpDY5arcbs2bNx9OhRrFmzBkOHDhW7JEmTbLhUYozhzJkzWLt2Le7cuQMXFxcEBQWhb9++9AVXT77//nssXLgQ48aNw7x586jvIlAqlXzI5OXlYdCgQZgwYQJsbGzELq1BUKvVmDVrFo4dO4bvvvsOQ4YMEbskyZN8uFRijOHXX39FWFgYEhMT0bNnTwQFBcHT05O+7OrQzp078Z///Afe3t6YO3cu9VpkSqUShw8fRkxMDJ49e4ZBgwbBx8eHQqYOqdVqzJw5E8ePH0dYWBgGDx4sdklaQWvCpRJjDHFxcQgPD8fNmzfRo0cPBAUFoV+/fvTFJ7DY2Fh888038PHxwZw5c6i/EqJUKnHkyBFs374dT58+xcCBA+Hj44MOHTqIXZpOUavVmDFjBn/YxKBBg8QuSWtoXbhUYozh3LlzCAsLw40bN9C9e3cEBgbCy8uLvgQFEBMTg8WLF8PX1xezZ8+mnkqUUqnETz/9hO3bt+PJkyd499134ePjA1tbW7FL03oqlQpffvklf6gEBUvNaG24VKo8FXlYWBiuX7+ON998E4GBgXjrrbfoC7GWtm/fjiVLlsDPzw+zZs2iPmqBiooKPmRyc3Px9ttvw8fHB/b29mKXppVUKhWCg4P5PVffffddsUvSOlofLpUYY0hISEBYWBiuXr0KZ2dnBAUFYcCAAfTlWAPbtm3Dt99+i0mTJmHGjBnUOy1TUVGBY8eOITo6Go8fP8bbb78NX19fCpkaUKlUmD59Ok6fPo1169bhnXfeEbskraQz4VKJMYaLFy9i7dq1uHLlCpycnBAYGIh33nmHvihfYevWrVi2bBkmT56ML7/8kvqlxVQqFR8yjx49woABA+Dr6wsHBwexS5O0iooKTJ8+Hf/3f/+H9evX4+233xa7JK2lc+FSqTJkwsPDcenSJXTt2hUBAQEYOHAgfWn+haioKCxfvhxTp07F9OnTqUc6QqVS4fjx49i2bRuys7Ph5eUFX19fdOrUSezSJKeiogJBQUH49ddfsX79egwYMEDskrSazobLyy5duoTw8HBcuHABXbp0QWBgIAYOHEgnW/xDZGQkVqxYAX9/f7pEtY5Sq9U4ceIEoqOjkZWVhf79+8PX1xedO3cWuzRJqKioQGBgIOLi4rBhwwa89dZbYpek9RpEuFS6fPkywsLCcOHCBXTu3BmBgYEYNGhQgw6ZzZs3Y9WqVZg2bRoCAwMpWHScWq3GyZMnsXXrVmRlZaFfv37w8/Nr0CGjVCoREBCA+Ph4bNiwAV5eXmKXpBMaVLhUunr1KsLCwnD+/Hl06tQJAQEBeO+99xpcyGzcuBFr1qxBYGAgAgICxC6H1CO1Wo1Tp04hOjoaDx48gIeHB/z8/ODo6Ch2afVKqVRi2rRpOH/+PDZu3Ij+/fuLXZLOaJDhUun69esICwvDuXPn4ODggMDAQAwZMqRBhMyGDRvw3XffISgoCNOmTRO7HCKSyrORb926FZmZmejbty98fX3h5OQkdml1TqlUwt/fHwkJCdi0aRP69esndkk6pUGHS6Xr168jPDwcZ8+ehYODA6ZNm4ahQ4dCT09P7NLqxPr167F27VpMnz4d/v7+YpdDJKDybORRUVHIzMxEnz594Ofnp7Mho1AoMG3aNFy4cAGbNm2Cp6en2CXpHAqXl9y4cQMRERH49ddfYW9vj2nTpmHYsGE6FTIREREIDw9HcHAwpk6dKnY5RGI0Gg1Onz6NrVu3IiMjA25ubvDz80O3bt3ELk0wCoUCU6dOxaVLl7Blyxb07dtX7JJ0EoXLX7h16xbCw8Nx5swZ2NraIiAgAO+//77Wh0x4eDgiIiIwY8YMTJ48WexyiIRpNBqcOXMGUVFRSE9PR+/eveHr64vu3buLXdprUSgUmDJlCq5cuYLNmzdTsNQhCpd/kJiYiPDwcPzf//0fOnTogGnTpuHf//631oUMYwzh4eFYt24dZs6ciUmTJoldEtESGo0Gv/76K6KionD//n24urrCz89PK0OmvLwcU6ZMwdWrV7Flyxb06dNH7JJ0GoVLNdy5cwfh4eH45ZdfYGNjA39/f3z44YdaETKMMaxduxYbNmzA7Nmz4efnJ3ZJRAtpNBrExcUhKioKaWlp6NWrF/z8/NCzZ0+xS6uW8vJyTJ48GdevX0dkZCTc3NzELknnUbjUQFJSEiIiInDq1ClYW1tj2rRp+OijjyQbMi8Hy5w5c+Dr6yt2SUTLaTQanDt3DpGRkUhNTUXPnj3h5+eHXr16iV3a3yorK8PkyZNx48YNREVFoXfv3mKX1CBQuNTC3bt3ERERgZMnT8La2hr+/v746KOPoK+vL3ZpPMYY1qxZg02bNiEkJAQ+Pj5il0R0SOUlLyIjI3Hv3j306NGDDxkpHYhbVlaGSZMm4ebNm9i6dStcXV3FLqnBoHB5DcnJyYiIiMCJEyfQvn17TJ06FSNGjBA9ZBhjWLVqFbZs2YLQ0FB4e3uLWg/RXZWXvIiMjERKSgq6d+8OX19fuLq6ih4yZWVlmDhxIm7duoXo6Gi4uLiIWk9DQ+EigHv37iEiIgLHjh1Du3bt4O/vjxEjRsDAwKDea2GMYeXKlYiMjMS8efMwfvz4eq+BNDyVl7yIjIzE3bt30a1bN/j5+aF3796ihExZWRn8/Pxw+/ZtbN26lYJFBBQuAkpNTeVDpk2bNpg6dSo++eSTegsZxhhWrFiBqKgofPXVV/jiiy/q5XkJqcQYw4ULFxAZGYmkpCQ4OzvDz88Pbm5u9RYycrkcvr6+SEpKQnR0tKS3B+kyCpc6kJaWhnXr1uGnn35C69at+ZAxNDSss+dkjGHZsmWIjo7G119/jbFjx9bZcxHyKpWXvIiMjMSdO3fg5OQEX19f9OnTp05DRi6Xw8fHB8nJyYiOjtaavdl0EYVLHbp//z7WrVuHI0eOoFWrVpg6dSo+/fRTwUOGMYalS5di27ZtWLBgAT7//HNBl09IbTHGcPnyZURGRiIxMRFdu3aFr68v+vbtK3jIlJaWwtfXF8nJydi2bRt69Ogh6PJJzVC41IP09HQ+ZFq2bInJkydj5MiRMDIyqtbjGWPIy8tDSUkJTE1NYWFhwa+YjDEsWbIEMTExWLhwIcaMGVOXL4WQWmGM4cqVK4iMjMStW7fQpUsX+Pn5wcPDo9oh80/rQWlpKXx8fHDv3j1s27ZNKw/y1DmM1Jv09HT25ZdfMjs7O+bu7s62bdvGysrK/vb+BQUFbO3atczOzo4B4P/Y2dmxtWvXsvz8fLZo0SJmb2/Pfvjhh3p8JYTUjkajYZcvX2Z+fn7M1dWVjR07lsXFxTGNRvO3j3nVepCVlcU+/fRT1qNHD3br1q16fDXkn9DIRQS//fYb1q9fj8OHD8PCwgKTJk3C6NGjYWxszN/n5MmTGDFiBORyOYDff7VV4jgOjDEYGBjA0tISq1evxqhRo+r9dRBSW4wx/mj569evo1OnTvD19UX//v2rjGSqsx7o6enBxsYGBw4c0KkTbGo7ChcRPXjwAOvXr8fBgwfRvHlzPmTOnj2LYcOGgTEGjUbzj8vgOA7Hjx/H4MGD66lqQoR17do1REVF4dq1a+jYsSMfMj///HO11wOZTIZjx47ReiAhFC4S8PDhQ6xfvx4HDhxAkyZNcOfOHVRUVKA6b41MJoOJiQmys7Nhbm5e98USUkdu3LiByMhIXL16FdbW1jh69CgUCgWtB1pK9y+5qAWsra2xfPlynD59Gs2aNYNSqazWCgX8fq4nuVyO2NjYOq6SkLrVo0cPbNiwAVu2bMGTJ09QXl5O64EWo5GLhDDG4ODggPT09Bo9juM42NraIi0tTfRTbhDyumg90A0ULhLy/PlzWFpavtbjLSwsBKyIkPpH64FuoGkxCSkpKXmtxxcXFwtUCSHiofVAN1C4SIipqelrPd7MzEygSggRD60HuoHCRUIsLCxgZ2dX4/lijuNgZ2eH5s2b11FlhNQfWg90A4WLhHAch4CAgFo9NjAwkDZiEp1A64FuoA36ElNYWAgrKyuUlZW98sAxgPbvJ7qJ1gPtRyMXiTE3N8f+/fvBcRxksn9+e2QyGTiOw4EDB2iFIjqF1gPtR+EiQYMHD8bRo0dhYmICjuP+NMyv/DcTExMcO3YMgwYNEqlSQuoOrQfajcJFogYPHozs7GysXbsWtra2VW6ztbXF2rVrkZOTQysU0Wm0Hmgv2uaiBRhjyM/PR3FxMczMzNC8eXPaaEkaHFoPtAuFCyGEEMHRtBghhBDBUbgQQggRHIULIYQQwVG4EEIIERyFCyGEEMFRuBBCCBEchQshhBDBUbgQQggRHIULIYQQwVG4EEIIERyFCyGEEMFRuBBCCBEchQshhBDBUbgQQggR3P8DMRvApii2dtQAAAAASUVORK5CYII=\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.plot()" - ] - }, - { - "cell_type": "markdown", - "id": "2ec84826", - "metadata": {}, - "source": [ - "This network seems to be using the equality $xy=((x+y)^2-(x-y)^2)/4$ but not exactly." - ] - }, - { - "cell_type": "markdown", - "id": "b33ecf62", - "metadata": {}, - "source": [ - "Now we want to explicitly introduce multiplication operators, called MultKAN. Note that MultKAN and KAN are actually the same class in implementation, so you can use either class name. If you dig into MultKAN.py, there is a line 'KAN = MultKAN'. KAN is just a special case of MultKAN. To inlcude multiplications, you only need to modify the width parameter. For example, [2,5,1] KAN means 2 inputs, 5 hidden add neurons, and 1 output; [2,[5,2],1] MultKAN means 2 inputs, 5 hidden add neurons and 2 hidden mult neurons, and 1 output." - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "id": "d8f94f0f", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model = KAN(width=[2,[5,2],1], base_fun='identity')\n", - "model.get_act(dataset)\n", - "model.plot()" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "id": "4b39ad0c", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 1.41e-02 | test loss: 1.44e-02 | reg: 5.34e+00 : 100%|██| 20/20 [00:17<00:00, 1.17it/s]\n" - ] - } - ], - "source": [ - "model.fit(dataset, steps=20, lamb=0.01, lamb_coef=1.0);" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "id": "4c0314b5", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.plot()" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "id": "2af1c553", - "metadata": {}, - "outputs": [], - "source": [ - "model = model.prune()" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "id": "aac1fb1c", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.plot()" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "id": "97851f1f", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 1.28e-08 | test loss: 1.31e-08 | reg: 5.26e+00 : 100%|██| 20/20 [00:04<00:00, 4.40it/s]\n" - ] - } - ], - "source": [ - "model.fit(dataset, steps=20);" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "id": "f27281df", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "fixing (0,0,0) with x, r2=0.9999999999860647, c=1\n", - "fixing (0,0,1) with 0\n", - "fixing (0,1,0) with 0\n", - "fixing (0,1,1) with x, r2=0.9999999999802792, c=1\n", - "fixing (1,0,0) with x, r2=0.9999999997392498, c=1\n" - ] - } - ], - "source": [ - "model.auto_symbolic()" - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "id": "fd45a429", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 1.49e-16 | test loss: 1.52e-16 | reg: 5.26e+00 : 100%|██| 20/20 [00:00<00:00, 28.72it/s]\n" - ] - } - ], - "source": [ - "model.fit(dataset, steps=20);" - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "id": "ffb84f4c", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle x_{1} x_{2}$" - ], - "text/plain": [ - "x_1*x_2" - ] - }, - "execution_count": 11, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "sf = model.symbolic_formula()[0][0]\n", - "nsimplify(ex_round(ex_round(sf, 3),3))" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.7" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/tutorials/.ipynb_checkpoints/Interp_2_Advanced MultKAN-checkpoint.ipynb b/tutorials/.ipynb_checkpoints/Interp_2_Advanced MultKAN-checkpoint.ipynb deleted file mode 100644 index 6d593823..00000000 --- a/tutorials/.ipynb_checkpoints/Interp_2_Advanced MultKAN-checkpoint.ipynb +++ /dev/null @@ -1,198 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "c982abca", - "metadata": {}, - "source": [ - "# Interpretation 2: Advanced MultKAN!" - ] - }, - { - "cell_type": "markdown", - "id": "6b9ec6c4", - "metadata": {}, - "source": [ - "In the last tutorial, we introduced multiplications to KANs which makes interpretation easier in the case when multiplications are needed. Multiplication nodes by default takes in two numbers, but can take more variables specified by the user. This is done through the mult_arity argument (by default mult_arity=2)." - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "id": "d8f94f0f", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "from kan import *\n", - "model = KAN(width=[2,[3,2],1])\n", - "x = torch.randn(100,2)\n", - "model(x)\n", - "model.plot()" - ] - }, - { - "cell_type": "markdown", - "id": "20be6142", - "metadata": {}, - "source": [ - "mult_arity=3" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "id": "5fbe4670", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model = KAN(width=[2,[3,2],1], mult_arity=3)\n", - "model(x)\n", - "model.plot()" - ] - }, - { - "cell_type": "markdown", - "id": "f76b85cc", - "metadata": {}, - "source": [ - "mult_arity=4" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "id": "3f9fa6c9", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model = KAN(width=[2,[3,2],1], mult_arity=4)\n", - "model(x)\n", - "model.plot()" - ] - }, - { - "cell_type": "markdown", - "id": "ae15bae4", - "metadata": {}, - "source": [ - "You may want different multiplication nodes to take in different number of variables. This is also possible: pass in mult_arity as a list of lists, specifying the arities in each layer, including input layer, hidden layer(s), and output layer." - ] - }, - { - "cell_type": "markdown", - "id": "4f81c620", - "metadata": {}, - "source": [ - "In the following example, we have 0 multiplications in the input or in the output layer, corresponding to empty lists. In the hidden layer, we have two multiplications with arity = 2 and arity = 3, so we have the list [2,3] in the middle." - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "id": "1cbc4656", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model = KAN(width=[2,[3,2],1], mult_arity=[[],[2,3],[]])\n", - "model(x)\n", - "model.plot()" - ] - }, - { - "cell_type": "markdown", - "id": "b8992507", - "metadata": {}, - "source": [ - "Make a deeper network" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "id": "5da9e2b1", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model = KAN(width=[2,[2,2],[1,3],[3,2],[1,1]], mult_arity=2)\n", - "model(x)\n", - "model.plot()" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.7" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/tutorials/.ipynb_checkpoints/Interp_3_KAN_Compiler-checkpoint.ipynb b/tutorials/.ipynb_checkpoints/Interp_3_KAN_Compiler-checkpoint.ipynb deleted file mode 100644 index a2d4561f..00000000 --- a/tutorials/.ipynb_checkpoints/Interp_3_KAN_Compiler-checkpoint.ipynb +++ /dev/null @@ -1,303 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "c982abca", - "metadata": {}, - "source": [ - "# Interpretation 3: KAN Compiler" - ] - }, - { - "cell_type": "markdown", - "id": "6b9ec6c4", - "metadata": {}, - "source": [ - "We have shown in many examples how to extract symbolic formulas from KANs. Now we want to consider the reverse task: compiling a symbolic formula into KANs. This might be needed for many reasons. One use case is that we have prior knowledge which is the approximate ground truth (empirical/constitutive laws etc.) and we want to build this knowledge into neural networks and only fine tune the network to real data." - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "id": "d8f94f0f", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "from kan.compiler import sf2kan\n", - "from sympy import *\n", - "from kan.utils import create_dataset\n", - "import torch\n", - "\n", - "input_variables = x,y = symbols('x y')\n", - "expr = exp(sin(pi*x)+y**2)\n", - "\n", - "model = sf2kan(input_variables, expr)\n", - "\n", - "f = lambda x: torch.exp(torch.sin(torch.pi*x[:,0]) + x[:,1]**2)\n", - "dataset = create_dataset(f, n_var=2)\n", - "model.get_act(dataset)\n", - "\n", - "model.plot()" - ] - }, - { - "cell_type": "markdown", - "id": "535c253f", - "metadata": {}, - "source": [ - "if you want more complicated formulas, you can load in an equation in the Feynman dataset." - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "id": "e9cf1b61", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "from kan.feynman import get_feynman_dataset\n", - "\n", - "problem_id = 3 # problem_id in 1-120\n", - "input_variables, expr, f, ranges = get_feynman_dataset(problem_id)\n", - "n_var = len(input_variables)\n", - "model = sf2kan(input_variables, expr)\n", - "\n", - "dataset = create_dataset(f, n_var=n_var, ranges=ranges)\n", - "model.get_act(dataset)\n", - "model.plot(in_vars=input_variables, out_vars=[expr], beta=10000, title='P{}'.format(problem_id))" - ] - }, - { - "cell_type": "markdown", - "id": "d1db913e", - "metadata": {}, - "source": [ - "We can check that the model indeed achieves zero loss (near machine precision) on the data" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "id": "910c99a9", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "tensor(4.0276e-16, grad_fn=)" - ] - }, - "execution_count": 3, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "torch.mean((model(dataset['train_input'])-dataset['train_label'])**2)" - ] - }, - { - "cell_type": "markdown", - "id": "35c347d2", - "metadata": {}, - "source": [ - "Assume we have a dataset for which the symbolic formula is only an approximate ground truth, we want to train on the real data to fine tune the model. The current model has the symbolic front turned on and the spline front turned off. So only the affine parameters in the symbolic equations are trainable. Depending on how much expressive power you would like, you may need:\n", - "\n", - "* If you want to keep the symbolic functions, but just train the affine parameters, no need to do anything.\n", - "* If you want to the functions to be trainable, call model.perturb(). If you want only the currently active functions to be trainable while the currently dead functions to remain dead, use mode='minimal'. Otherwise if you want to allow the currently dead functions to be active, use mode = 'all' (by default).\n", - "* If you think the ground truth should be more complicated than the current network, you can expand it first using expand_width and/or expand_depth, and then use model.perturb().\n", - "\n", - "In the following, we present the most complicated case where you want to expand the network first." - ] - }, - { - "cell_type": "markdown", - "id": "63af424e", - "metadata": {}, - "source": [ - "step 1: expand depth, add an extra linear function in the end" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "id": "381b8a03", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.expand_depth()\n", - "model.get_act(dataset)\n", - "model.plot()" - ] - }, - { - "cell_type": "markdown", - "id": "27a934fe", - "metadata": {}, - "source": [ - "step 2: add two addition nodes in layer 1." - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "id": "5c5f92c9", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.expand_width(1, 2)\n", - "model.get_act(dataset)\n", - "model.plot()" - ] - }, - { - "cell_type": "markdown", - "id": "3459fc85", - "metadata": {}, - "source": [ - "step 3: add two multiplication nodes in layer 2, with arity 2 and 3." - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "id": "ec1bfb11", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.expand_width(2, 2, sum_bool=False, mult_arity=[2,3])\n", - "model.get_act(dataset)\n", - "model.plot()" - ] - }, - { - "cell_type": "markdown", - "id": "038ea175", - "metadata": {}, - "source": [ - "step 4: now we perturb all edges (mode='minimal' only perturb the currently active edges, mode='all' perturbs all neurons)." - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "id": "45c8e738", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.perturb(mag=0.1, mode='all')\n", - "model.get_act(dataset)\n", - "model.plot()\n", - "# purple means both symbolic front (red) and spline front (black) are active" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "id": "6feae91b", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.plot(beta=1000)" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.7" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/tutorials/.ipynb_checkpoints/Interp_4_feature_attribution-checkpoint.ipynb b/tutorials/.ipynb_checkpoints/Interp_4_feature_attribution-checkpoint.ipynb deleted file mode 100644 index 60a8c9a1..00000000 --- a/tutorials/.ipynb_checkpoints/Interp_4_feature_attribution-checkpoint.ipynb +++ /dev/null @@ -1,291 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "f8ba3161", - "metadata": {}, - "source": [ - "# Input 4 Feature attribution" - ] - }, - { - "cell_type": "markdown", - "id": "6535c1f2", - "metadata": {}, - "source": [ - "How to determine the importance of features? This is known as feature attribution. This notebook shows how to get feature scores in KANs." - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "id": "1d88fa9d", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 2.14e-03 | test loss: 2.10e-03 | reg: 1.89e+00 : 100%|██| 40/40 [00:21<00:00, 1.82it/s]\n" - ] - } - ], - "source": [ - "from kan import *\n", - "from sympy import *\n", - "\n", - "# let's construct a dataset\n", - "f = lambda x: x[:,0]**2 + 0.3*x[:,1] + 0.1*x[:,2]**3 + 0.0*x[:,3]\n", - "dataset = create_dataset(f, n_var=4)\n", - "\n", - "input_vars = [r'$x_'+str(i)+'$' for i in range(4)]\n", - "\n", - "model = KAN(width=[4,5,1])\n", - "model.fit(dataset, steps=40, lamb=0.001);" - ] - }, - { - "cell_type": "markdown", - "id": "8c782f62", - "metadata": {}, - "source": [ - "get feature score" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "id": "2693a8c7", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "tensor([8.8828e-01, 5.0851e-01, 1.0970e-01, 4.8062e-04])" - ] - }, - "execution_count": 2, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "model.feature_score" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "id": "89d836df", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model = model.prune_input()\n", - "model.plot(in_vars=input_vars)" - ] - }, - { - "cell_type": "markdown", - "id": "9e7eaa42", - "metadata": {}, - "source": [ - "Let's consider a high-dimensional case. In the case of many inputs but only few are important, the users may want to prune input otherwise too many inputs make interpretable hard." - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "id": "6a5b6ccf", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 9.93e-03 | test loss: 1.37e-02 | reg: 5.89e+00 : 100%|██| 50/50 [08:03<00:00, 9.66s/it]\n" - ] - } - ], - "source": [ - "from kan import *\n", - "\n", - "# let's construct a dataset\n", - "n_var = 100\n", - "\n", - "def f(x):\n", - " y = 0\n", - " for i in range(n_var):\n", - " # exponential decay\n", - " y += x[:,[i]]**2*0.5**i\n", - " return y\n", - " \n", - "dataset = create_dataset(f, n_var=n_var)\n", - "\n", - "input_vars = [r'$x_'+str(i)+'$' for i in range(n_var)]\n", - "\n", - "model = KAN(width=[n_var,10,10,1])\n", - "model.fit(dataset, steps=50, lamb=0.001);" - ] - }, - { - "cell_type": "markdown", - "id": "7bf0deb1", - "metadata": {}, - "source": [ - "Since there are 100D inputs, it's very time consuming to plot the whole diagram and hard to read anything meaningful out of the diagram. So we want to prune the network first (including pruning hidden nodes and pruning inputs) and then plot it." - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "id": "9e0b3dad", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "keep: [True, True, True, True, True, True, True, False, False, False, False, False, False, True, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, True, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False]\n" - ] - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model = model.prune()\n", - "model = model.prune_input()\n", - "model.plot(in_vars=input_vars)" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "id": "6d883067", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "# manual prune inputs\n", - "model = model.prune_input(active_inputs=[0,1,2,3,4])\n", - "model.plot(in_vars=input_vars)" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "id": "3452ca73", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "# prune nodes\n", - "model = model.prune_node()\n", - "model.plot(in_vars=input_vars)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "42003070", - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.7" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/tutorials/.ipynb_checkpoints/Interp_5_test_symmetry-checkpoint.ipynb b/tutorials/.ipynb_checkpoints/Interp_5_test_symmetry-checkpoint.ipynb deleted file mode 100644 index 283604c1..00000000 --- a/tutorials/.ipynb_checkpoints/Interp_5_test_symmetry-checkpoint.ipynb +++ /dev/null @@ -1,403 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "f8ba3161", - "metadata": {}, - "source": [ - "# Interp 5: Test symmetries" - ] - }, - { - "cell_type": "markdown", - "id": "6535c1f2", - "metadata": {}, - "source": [ - "Figuring out the symbolic formula represented by a model is ideal but sometimes too challenging. In this case, we might be content with simply figuring out some modular structures or symmetries. These hypothesis testing is partially inspired by AI Feynman." - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "id": "1416f4c8", - "metadata": {}, - "outputs": [], - "source": [ - "from kan.hypothesis import *\n", - "import torch" - ] - }, - { - "cell_type": "markdown", - "id": "6ee16e29", - "metadata": {}, - "source": [ - "Case 1: detect separability.\n", - "* Additive separability: $f(x_1, x_2, ...) = g_1(x_1,x_2) + g_2(x_3) + g_3(x_4,x_5,x_6) + ...$\n", - "* Multiplicative separability: $f(x_1, x_2, ...) = g_1(x_1,x_2)g_2(x_3)g_3(x_4,x_5,x_6)...$\n", - "* General separability: $f(x_1, x_2, x_3, ...) = h(p(x_1,x_2)+q(x_3,\\cdots))$. (Note that general additive separability = general multiplicative separability)" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "id": "87f1e596", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "add separability detected\n" - ] - }, - { - "data": { - "text/plain": [ - "{'hessian': tensor([[0.0000, 0.2976, 0.0000, 0.0000, 0.0000, 0.0000],\n", - " [0.2976, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000],\n", - " [0.0000, 0.0000, 0.0000, 0.2969, 0.0000, 0.0000],\n", - " [0.0000, 0.0000, 0.2969, 0.0000, 0.0000, 0.0000],\n", - " [0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.3237],\n", - " [0.0000, 0.0000, 0.0000, 0.0000, 0.3237, 0.0000]]),\n", - " 'n_groups': 3,\n", - " 'labels': [2, 2, 1, 1, 0, 0],\n", - " 'groups': [[4, 5], [2, 3], [0, 1]]}" - ] - }, - "execution_count": 2, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "f = lambda x: x[:,[0]] * x[:,[1]] + x[:,[2]] * x[:,[3]] + x[:,[4]] * x[:,[5]]\n", - "x = torch.rand(100,6) * 2 - 1\n", - "detect_separability(f, x, 'add')" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "id": "0b63eed4", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "mul separability detected\n" - ] - } - ], - "source": [ - "f = lambda x: (x[:,[0]] + x[:,[1]]) * (x[:,[2]] + x[:,[3]]) * (x[:,[4]] + x[:,[5]])\n", - "x = torch.rand(100,6) * 2 - 1\n", - "detect_separability(f, x, 'mul');" - ] - }, - { - "cell_type": "markdown", - "id": "3933b0dd", - "metadata": {}, - "source": [ - "We could also test separability by providing a group partition as an argument." - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "id": "96110a32", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "tensor(True)" - ] - }, - "execution_count": 4, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "f = lambda x: (x[:,[0]] + x[:,[1]]) * (x[:,[2]] + x[:,[3]]) * (x[:,[4]] + x[:,[5]])\n", - "x = torch.rand(100,6) * 2 - 1\n", - "groups = [[0,1],[2,3],[4,5]]\n", - "test_separability(f, x, groups, 'mul')" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "id": "e81778e9", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "tensor(False)" - ] - }, - "execution_count": 5, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "test_separability(f, x, [[0,1],[2,4],[3,5]], 'mul')" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "id": "3c088092", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "tensor(False)" - ] - }, - "execution_count": 6, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "f = lambda x: torch.sin((x[:,[0]] + x[:,[1]]) * (x[:,[2]] + x[:,[3]]) * (x[:,[4]] + x[:,[5]]))\n", - "x = torch.rand(100,6) * 2 - 1\n", - "test_separability(f, x, [[0,1],[2,3],[4,5]], 'mul')" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "id": "b42e3b47", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "tensor(True)" - ] - }, - "execution_count": 7, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "test_general_separability(f, x, [[0,1],[2,3],[4,5]])" - ] - }, - { - "cell_type": "markdown", - "id": "fbe1d482", - "metadata": {}, - "source": [ - "Case 2: test symmetry.\n", - "* Symmetry means the output $y$ is only dependent on a scalar function of a few variables, but otherwise does not gain more infomration from knowing the individual values of these variables. \n", - "* For example, we say a function has a symmetry $h(x_1, x_2)$ if $f(x_1,x_2,x_3,\\cdots)= g(h(x_1, x_2), x_3,\\cdots)$.\n", - "* To hypothesis test $h$, use test_symmetry_var" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "id": "29640f8f", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "[0,1]: tensor(True)\n", - "[0,2]: tensor(False)\n", - "[2,3]: tensor(True)\n" - ] - } - ], - "source": [ - "f = lambda x: (x[:,[0]] + x[:,[1]]) * (x[:,[2]] + x[:,[3]]) * (x[:,[4]] + x[:,[5]])\n", - "x = torch.rand(100,6) * 2 - 1\n", - "print('[0,1]:', test_symmetry(f, x, [0,1]))\n", - "print('[0,2]:', test_symmetry(f, x, [0,2]))\n", - "print('[2,3]:', test_symmetry(f, x, [2,3]))" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "id": "a392089f", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "100.0% data have more than 0.9 cosine similarity\n", - "suggesting symmetry\n" - ] - } - ], - "source": [ - "from sympy import *\n", - "\n", - "# the function is only dependent on b/c, but not on the individual values of b and c.\n", - "f = lambda x: x[:,[0]] * torch.sqrt(1 + (x[:,[1]]/x[:,[2]])**2)\n", - "input_vars = a, b, c = symbols('a b c')\n", - "symmetry_var = b/c\n", - "x = torch.rand(100,3) * 2 - 1\n", - "test_symmetry_var(f, x, input_vars, symmetry_var);" - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "id": "b8212789", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "26.0% data have more than 0.9 cosine similarity\n", - "not suggesting symmetry\n" - ] - } - ], - "source": [ - "not_symmetry_var = b * c\n", - "test_symmetry_var(f, x, input_vars, not_symmetry_var);" - ] - }, - { - "cell_type": "markdown", - "id": "8c782f62", - "metadata": {}, - "source": [ - "Case 3: Plot tree graph. By applying the hypothesis testing above iteratively, we are able to figure out the tree graph. " - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "id": "42003070", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "f = lambda x: ((x[:,[0]]**2 + x[:,[1]]**2) ** 2 + (x[:,[2]]**2 + x[:,[3]]**2) ** 2) ** 2 + ((x[:,[4]]**2 + x[:,[5]]**2) ** 2 + (x[:,[6]]**2 + x[:,[7]]**2) ** 2) ** 2\n", - "x = torch.rand(100,8) * 2 - 1\n", - "plot_tree(f, x, style='tree') # by default, style = 'tree'" - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "id": "8104aede", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "f = lambda x: ((x[:,[0]]**2 + x[:,[1]]**2) ** 2 + (x[:,[2]]**2 + x[:,[3]]**2) ** 2) ** 2 + x[:,[4]]**2\n", - "x = torch.rand(100,5) * 2 - 1\n", - "plot_tree(f, x, style='tree') # by default, style = 'tree'" - ] - }, - { - "cell_type": "code", - "execution_count": 14, - "id": "8b0c7563", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "plot_tree(f, x, style='box')" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "1333bed5", - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.7" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/tutorials/.ipynb_checkpoints/Interp_6_test_symmetry_for_trained_models-checkpoint.ipynb b/tutorials/.ipynb_checkpoints/Interp_6_test_symmetry_for_trained_models-checkpoint.ipynb deleted file mode 100644 index 62180029..00000000 --- a/tutorials/.ipynb_checkpoints/Interp_6_test_symmetry_for_trained_models-checkpoint.ipynb +++ /dev/null @@ -1,353 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "f8ba3161", - "metadata": {}, - "source": [ - "# Interp 6: Test symmetries for trained models" - ] - }, - { - "cell_type": "markdown", - "id": "6535c1f2", - "metadata": {}, - "source": [ - "In the previous notebook, to make target functions clear, we were inputing the symbolic formula. In practice, we want to apply symmetry testing and tree graph plotting to a trained model." - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "id": "1416f4c8", - "metadata": {}, - "outputs": [], - "source": [ - "from kan.hypothesis import *\n", - "from kan import *" - ] - }, - { - "cell_type": "markdown", - "id": "2a438584", - "metadata": {}, - "source": [ - "Example 1" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "id": "0b63eed4", - "metadata": {}, - "outputs": [], - "source": [ - "f = lambda x: x[:,[0]] + torch.sin(torch.pi*x[:,[1]]) + x[:,[2]] ** 2\n", - "dataset = create_dataset(f, n_var=3)\n", - "model = KAN(width=[3,5,5,1], grid=5, k=3)" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "id": "f4a151b6", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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0004TAxwx3377bVVV7dq1628/Ge60004TAxwxixcvrt9++63ef//92rhxYw0PD9fMmTNr/vz5ddNNN9XSpUv9oaLD4MwAAIRzPgUAwokBAAgnBgAgnBgAgHBiAADCiQEACCcGACCcGACAcGIAAMKJAQAIJwYAINz/AOxX+Ig3kiU2AAAAAElFTkSuQmCC\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model(dataset['train_input'])\n", - "model.tree()" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "id": "7377c9b3", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 7.77e-04 | test loss: 1.13e-03 | reg: 2.02e+01 : 100%|██| 50/50 [01:03<00:00, 1.27s/it]\n" - ] - } - ], - "source": [ - "model.fit(dataset, steps=50);" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "id": "bd0c7fad", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.tree()" - ] - }, - { - "cell_type": "markdown", - "id": "0be943ea", - "metadata": {}, - "source": [ - "Example 2" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "id": "62cdea16", - "metadata": {}, - "outputs": [], - "source": [ - "f = lambda x: x[:,[0]] * x[:,[1]] * x[:,[2]] / x[:,[3]]\n", - "dataset = create_dataset(f, n_var=4, ranges=[0.5,2])\n", - "model = KAN(width=[4,5,5,1], grid=5, k=3)" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "id": "675773b6", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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wJWZmZmrz5s21bdu2uuaaa+p3v/udEDiO7d69u77//e/XSSed9LnjH374Yf3qV7+qqqq1a9f2YzR6YGJi4qjHf/7zn9dbb71Vv/zlL+uCCy5Y4Kn6QwzMw8TERO3cubOqavYFZyYmJmr79u1VVbV+/frZ57ny7XbvvffWtm3bamxsrM4888y67777jviY9evX17nnnrvww9F127Ztq4mJiVqzZk2tWLGiRkdHa+/evfXCCy/Uxx9/XFdffXX97Gc/6/eY0HViYB527txZzzzzzOeO7dq1q3bt2lVVVStXrhQDx4n33nuvqqo+/vjjL3w1s5UrV4qB48SGDRvqo48+qpdffrl27NhRU1NTdfLJJ9fq1avruuuuq2uvvbY6nU6/x4Su67TWWr+HAAD6J/LliAGA/xIDABBODABAODEAAOHEAACEEwMAEE4MAEA4MQAA4cQAAIQTAwAQTgwAQLj/A6y/OD/NDkGjAAAAAElFTkSuQmCC\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model(dataset['train_input'])\n", - "model.tree()" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "id": "f65dc471", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 1.49e-03 | test loss: 3.76e-03 | reg: 2.94e+01 : 100%|██| 50/50 [01:17<00:00, 1.55s/it]\n" - ] - } - ], - "source": [ - "model.fit(dataset, steps=50);" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "id": "d4612e9d", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.tree()" - ] - }, - { - "cell_type": "markdown", - "id": "38f93d8e", - "metadata": {}, - "source": [ - "Example 3" - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "id": "350537db", - "metadata": {}, - "outputs": [], - "source": [ - "model = KAN(width=[4,2,1,1], grid=3, k=3, seed=2)\n", - "f = lambda x: torch.exp((torch.sin(torch.pi*(x[:,[0]]**2+x[:,[1]]**2))+torch.sin(torch.pi*(x[:,[2]]**2+x[:,[3]]**2)))/2)\n", - "dataset = create_dataset(f, n_var=4)" - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "id": "19a6fa5d", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model(dataset['train_input'])\n", - "model.tree()" - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "id": "0a3d84fe", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 6.14e-03 | test loss: 6.70e-03 | reg: 7.63e+00 : 100%|██| 50/50 [00:20<00:00, 2.46it/s]\n" - ] - } - ], - "source": [ - "model.fit(dataset, steps=50);" - ] - }, - { - "cell_type": "code", - "execution_count": 13, - "id": "38d1e510", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.tree()" - ] - }, - { - "cell_type": "markdown", - "id": "e955f277", - "metadata": {}, - "source": [ - "It doesn't always work. One may need to tweek seed (with unlucky random seed, it can get stuck at bad local minima)" - ] - }, - { - "cell_type": "code", - "execution_count": 14, - "id": "acacd12c", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 2.86e-01 | test loss: 3.13e-01 | reg: 3.46e+01 : 100%|██| 50/50 [00:19<00:00, 2.51it/s]\n" - ] - } - ], - "source": [ - "model = KAN(width=[4,2,1,1], grid=3, k=3, seed=4)\n", - "f = lambda x: torch.exp((torch.sin(torch.pi*(x[:,[0]]**2+x[:,[1]]**2))+torch.sin(torch.pi*(x[:,[2]]**2+x[:,[3]]**2)))/2)\n", - "dataset = create_dataset(f, n_var=4)\n", - "model.fit(dataset, steps=50);" - ] - }, - { - "cell_type": "code", - "execution_count": 15, - "id": "1333bed5", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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wJWZmZmrz5s21bdu2uuaaa+p3v/udEDiO7d69u77//e/XSSed9LnjH374Yf3qV7+qqqq1a9f2YzR6YGJi4qjHf/7zn9dbb71Vv/zlL+uCCy5Y4Kn6QwzMw8TERO3cubOqavYFZyYmJmr79u1VVbV+/frZ57ny7XbvvffWtm3bamxsrM4888y67777jviY9evX17nnnrvww9F127Ztq4mJiVqzZk2tWLGiRkdHa+/evfXCCy/Uxx9/XFdffXX97Gc/6/eY0HViYB527txZzzzzzOeO7dq1q3bt2lVVVStXrhQDx4n33nuvqqo+/vjjL3w1s5UrV4qB48SGDRvqo48+qpdffrl27NhRU1NTdfLJJ9fq1avruuuuq2uvvbY6nU6/x4Su67TWWr+HAAD6J/LliAGA/xIDABBODABAODEAAOHEAACEEwMAEE4MAEA4MQAA4cQAAIQTAwAQTgwAQLj/A6y/OD/NDkGjAAAAAElFTkSuQmCC\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.tree()" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "05cf43c8", - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.7" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/tutorials/.ipynb_checkpoints/Interp_7_Building_in_structural_biases-checkpoint.ipynb b/tutorials/.ipynb_checkpoints/Interp_7_Building_in_structural_biases-checkpoint.ipynb deleted file mode 100644 index 6083a301..00000000 --- a/tutorials/.ipynb_checkpoints/Interp_7_Building_in_structural_biases-checkpoint.ipynb +++ /dev/null @@ -1,274 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "f8ba3161", - "metadata": {}, - "source": [ - "# Interp 7: Building in structural biases" - ] - }, - { - "cell_type": "markdown", - "id": "6535c1f2", - "metadata": {}, - "source": [ - "In the previous notebook, we have shown how to test hypothesis for a trained model. If you are content with the insights (tree structure and symmetry properties), you can simply stop here. However, if you want to leverage these properties and apply these inductive biases to your neural network, this notebook walks you through a few possiblities." - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "id": "3b818211", - "metadata": {}, - "outputs": [], - "source": [ - "from kan import *" - ] - }, - { - "cell_type": "markdown", - "id": "4e9926ed", - "metadata": {}, - "source": [ - "Case 1: Separability\n", - "\n", - "* if you have confirmed that $f(x_1,x_2,x_3,x_4)=f_1(x_1)f_2(x_2)f_3(x_3)f_4(x_4)$, you can make the last operation to be multiplication. And you can use model.module to create modules so that variables do not interact." - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "id": "cbe4788b", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model = KAN(width=[4,[0,1]], mult_arity=4, grid=5, k=3) # note [0,1] means in the output layer, 0 sum node and 1 mult node\n", - "x = torch.rand(100,4)*2-1\n", - "model(x)\n", - "model.plot(beta=1000)" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "id": "f5aff4ae", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "# to specify a module, you need to specify the start layer (0 in this case),\n", - "# you also need to specify which neurons belong to this module\n", - "# the rule might be a bit complicated to explain, but you will observe the pattern with a few examples. \n", - "model = KAN(width=[4,[0,1]], mult_arity=4, grid=5, k=3) # note [0,1] means in the output layer, 0 sum node and 1 mult node\n", - "x = torch.rand(100,4)*2-1\n", - "model(x)\n", - "\n", - "model.module(0,'[0]->[0]')\n", - "model.module(0,'[1]->[1]')\n", - "model.module(0,'[2]->[2]')\n", - "model.module(0,'[3]->[3]')\n", - "\n", - "model.plot(beta=1000)" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "id": "4d5137cb", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model = KAN(width=[4,[0,1]], mult_arity=4, grid=5, k=3) # note [0,1] means in the output layer, 0 sum node and 1 mult node\n", - "x = torch.rand(100,4)*2-1\n", - "model(x)\n", - "\n", - "model.module(0,'[0,1]->[0,1]')\n", - "model.module(0,'[2,3]->[2,3]')\n", - "\n", - "model.plot(beta=1000)" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "id": "34a7bce5", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model = KAN(width=[4,[0,1]], mult_arity=4, grid=5, k=3) # note [0,1] means in the output layer, 0 sum node and 1 mult node\n", - "x = torch.rand(100,4)*2-1\n", - "model(x)\n", - "\n", - "model.module(0,'[0,1]->[2,3]')\n", - "model.module(0,'[2,3]->[0,1]')\n", - "\n", - "model.plot(beta=1000)" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "id": "816a4250", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model = KAN(width=[4,[0,1]], mult_arity=4, grid=5, k=3) # note [0,1] means in the output layer, 0 sum node and 1 mult node\n", - "x = torch.rand(100,4)*2-1\n", - "model(x)\n", - "\n", - "model.module(0,'[0]->[0]')\n", - "model.module(0,'[1,2,3]->[1,2,3]')\n", - "\n", - "model.plot(beta=1000)" - ] - }, - { - "cell_type": "markdown", - "id": "1728aea1", - "metadata": {}, - "source": [ - "Case 2: you can use model.module smartly to create tree graphs." - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "id": "37e983f7", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "# a tree case\n", - "model = KAN(width=[4,6,2,6,1], mult_arity=4, grid=5, k=3) # note [0,1] means in the output layer, 0 sum node and 1 mult node\n", - "x = torch.rand(100,4)*2-1\n", - "model(x)\n", - "model.plot(beta=1000)" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "id": "b6c70991", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "# a tree case\n", - "model = KAN(width=[4,6,2,6,1], mult_arity=4, grid=5, k=3) # note [0,1] means in the output layer, 0 sum node and 1 mult node\n", - "x = torch.rand(100,4)*2-1\n", - "\n", - "model.module(0,'[0,1]->[0,1,2]->[0,1,2]->[0]')\n", - "model.module(0,'[2,3]->[3,4,5]->[3,4,5]->[1]')\n", - "model.module(2,'[0]->[0,1,2]')\n", - "model.module(2,'[1]->[3,4,5]')\n", - "\n", - "model(x)\n", - "model.plot(beta=1000)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "05cf43c8", - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.7" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/tutorials/.ipynb_checkpoints/MultKAN_tutorial-checkpoint.ipynb b/tutorials/.ipynb_checkpoints/MultKAN_tutorial-checkpoint.ipynb deleted file mode 100644 index e68832d1..00000000 --- a/tutorials/.ipynb_checkpoints/MultKAN_tutorial-checkpoint.ipynb +++ /dev/null @@ -1,159 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "5d904dee", - "metadata": {}, - "source": [ - "# Use MultKAN\n", - "\n", - "In this example, we will show how to use MultKAN" - ] - }, - { - "cell_type": "markdown", - "id": "94056ef6", - "metadata": {}, - "source": [ - "intialize model and create dataset" - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "id": "0a59179d", - "metadata": {}, - "outputs": [], - "source": [ - "from kan.MultKAN import MultKAN\n", - "from kan.utils import create_dataset\n", - "import torch\n", - "\n", - "torch.set_default_dtype(torch.float64)\n", - "torch.use_deterministic_algorithms(True)\n", - "\n", - "seed = 0\n", - "torch.manual_seed(seed)\n", - "\n", - "# initialize KAN with G=5. Setting the hyperparameters below is the best setup if you care about speed and never use the symbolic front\n", - "# symblic_enabled = False will ignore the symbolic part to avoid slowdown due to the for loops in the symbolic part\n", - "# save_plot_data = False will skip saving intermediate activations\n", - "# auto_save = False will skip saving models\n", - "model = MultKAN(width=[2,1,1], grid=5, k=3, symbolic_enabled=False, save_plot_data=False, auto_save=False)\n", - "\n", - "# create dataset\n", - "f = lambda x: torch.exp(torch.sin(torch.pi*x[:,[0]]) + x[:,[1]]**2)\n", - "dataset = create_dataset(f, n_var=2)" - ] - }, - { - "cell_type": "markdown", - "id": "cb1f817e", - "metadata": {}, - "source": [ - "Train KAN (grid=3)" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "id": "a87b97b0", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 5.90e-03 | test loss: 6.09e-03 | reg: 0.00e+00 : 100%|█| 100/100 [00:11<00:00, 8.56it/s\n" - ] - } - ], - "source": [ - "model.train(dataset, opt=\"LBFGS\", steps=100);" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "id": "3f1cfc9d", - "metadata": {}, - "outputs": [], - "source": [ - "model.save_plot_data = True\n", - "model(dataset['train_input'])\n", - "model = model.refine(10)\n", - "model.save_plot_data = False" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "id": "f6900184", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 2.90e-04 | test loss: 3.05e-04 | reg: 0.00e+00 : 100%|█| 100/100 [00:12<00:00, 8.05it/s\n" - ] - } - ], - "source": [ - "model.train(dataset, opt=\"LBFGS\", steps=100);" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "id": "c3a785ae", - "metadata": {}, - "outputs": [], - "source": [ - "model.save_plot_data = True\n", - "model(dataset['train_input'])\n", - "model = model.refine(20)\n", - "model.save_plot_data = False" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "id": "10d710ec", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 1.61e-05 | test loss: 1.73e-05 | reg: 0.00e+00 : 100%|█| 100/100 [00:17<00:00, 5.64it/s\n" - ] - } - ], - "source": [ - "model.train(dataset, opt=\"LBFGS\", steps=100);" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.7" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/tutorials/.ipynb_checkpoints/Unchecked_physics_informed_kan-checkpoint.ipynb b/tutorials/.ipynb_checkpoints/Unchecked_physics_informed_kan-checkpoint.ipynb deleted file mode 100644 index 845253a7..00000000 --- a/tutorials/.ipynb_checkpoints/Unchecked_physics_informed_kan-checkpoint.ipynb +++ /dev/null @@ -1,276 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": 20, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Using device: cpu\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "Step: 195 | Loss: 0.011: 100%|██████████| 200/200 [2:52:51<00:00, 51.86s/it] \n" - ] - } - ], - "source": [ - "import torch\n", - "from torch import autograd\n", - "from torch.utils.tensorboard import SummaryWriter\n", - "from tqdm import tqdm\n", - "import matplotlib.pyplot as plt\n", - "from kan import KAN, LBFGS\n", - "\n", - "device = torch.device(\"cpu\")\n", - "print(\"Using device:\", device)\n", - "\n", - "rho = torch.tensor(1.0, device=device, requires_grad=False)\n", - "nu = torch.tensor(0.01, device=device, requires_grad=False)\n", - "eps = torch.tensor(1e-8, device=device, requires_grad=False)\n", - "\n", - "width, height = 10.0, 2.0\n", - "num_points_x, num_points_y = 100, 20\n", - "\n", - "x = torch.linspace(0, width, num_points_x, device=device, requires_grad=False)\n", - "y = torch.linspace(0, height, num_points_y, device=device, requires_grad=False)\n", - "X, Y = torch.meshgrid(x, y, indexing='ij')\n", - "coordinates = torch.stack([X.flatten(), Y.flatten()], dim=1).to(device)\n", - "coordinates.requires_grad = True # Ensure coordinates require grad\n", - "\n", - "model = KAN(width=[2,3,3, 3], grid=5, k=10, grid_eps=1.0,\n", - " noise_scale_base=0.25).to(device)\n", - "\n", - "def batch_jacobian(func, x, create_graph=False):\n", - " def _func_sum(x):\n", - " return func(x).sum(dim=0)\n", - " return autograd.functional.jacobian(_func_sum, x, create_graph=create_graph).permute(1, 0, 2)\n", - "\n", - "def batch_hessian(func, x):\n", - " jacobian = batch_jacobian(func, x, create_graph=True)\n", - " hessians = []\n", - " for i in range(jacobian.size(1)):\n", - " grad = autograd.grad(jacobian[:, i].sum(), x, create_graph=True, retain_graph=True)[0]\n", - " hessians.append(grad.unsqueeze(1))\n", - " return torch.cat(hessians, dim=1)\n", - "\n", - "def navier_stokes_residuals(coords):\n", - " coords = coords.clone().detach().requires_grad_(True) # Ensure coords require grad\n", - " y_pred = model(coords)\n", - " grads = batch_jacobian(model, coords, create_graph=True)\n", - " hessians = batch_hessian(model, coords)\n", - "\n", - " u, v, p = y_pred[:, 0], y_pred[:, 1], y_pred[:, 2]\n", - " u_x, u_y = grads[:, 0, 0], grads[:, 0, 1]\n", - " v_x, v_y = grads[:, 1, 0], grads[:, 1, 1]\n", - " p_x, p_y = grads[:, 2, 0], grads[:, 2, 1]\n", - "\n", - " u_xx, u_yy = hessians[:, 0, 0], hessians[:, 0, 1]\n", - " v_xx, v_yy = hessians[:, 1, 0], hessians[:, 1, 1]\n", - "\n", - " continuity = u_x + v_y + eps * p\n", - " x_momentum = u * u_x + v * u_y + (1 / rho) * p_x - nu * (u_xx + u_yy)\n", - " y_momentum = u * v_x + v * v_y + (1 / rho) * p_y - nu * (v_xx + v_yy)\n", - "\n", - " no_slip_mask = (coords[:, 1] == 0) | (coords[:, 1] == height)\n", - " inlet_mask = (coords[:, 0] == 0)\n", - " outlet_mask = (coords[:, 0] == width)\n", - "\n", - " no_slip_loss = torch.mean(u[no_slip_mask] ** 2 + v[no_slip_mask] ** 2)\n", - " inlet_loss = torch.mean((u[inlet_mask] - 1) ** 2)\n", - " outlet_pressure_loss = torch.mean(p[outlet_mask] ** 2)\n", - "\n", - " bc_loss = no_slip_loss + inlet_loss + outlet_pressure_loss\n", - " total_loss = torch.mean(continuity ** 2 + x_momentum ** 2 + y_momentum ** 2) + bc_loss\n", - " return total_loss\n", - "\n", - "writer = SummaryWriter()\n", - "\n", - "def train():\n", - " optimizer = LBFGS(model.parameters(), lr=1,\n", - " history_size=10, line_search_fn=\"strong_wolfe\", tolerance_grad=1e-32, tolerance_change=1e-32, tolerance_ys=1e-32)\n", - " \n", - " steps = 200 # 20 steps are enough\n", - " pbar = tqdm(range(steps), desc='Training Progress')\n", - "\n", - " for step in pbar:\n", - " def closure():\n", - " optimizer.zero_grad()\n", - " loss = navier_stokes_residuals(coordinates)\n", - " loss.backward()\n", - " return loss\n", - "\n", - " optimizer.step(closure)\n", - " if step % 5 == 0:\n", - " current_loss = closure().item()\n", - " pbar.set_description(\"Step: %d | Loss: %.3f\" %\n", - " (step, current_loss))\n", - " writer.add_scalar('Loss/train', current_loss, step)\n", - "\n", - "train()\n", - "\n", - "writer.close()\n" - ] - }, - { - "cell_type": "code", - "execution_count": 24, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "u_pred = model(coordinates)[:, 0].detach().reshape(\n", - " num_points_x, num_points_y).T\n", - "\n", - "v_pred = model(coordinates)[:, 1].detach().reshape(\n", - " num_points_x, num_points_y).T\n", - "\n", - "\n", - "magnitude = torch.sqrt(u_pred ** 2 + v_pred ** 2)\n", - "\n", - "plt.figure(figsize=(10, 5)) # Set the figure size as needed\n", - "plt.imshow(magnitude, extent=(0, width, 0, height), origin='lower', cmap='viridis')\n", - "plt.colorbar() # Add a colorbar to show the magnitude scale\n", - "plt.title('Velocity Magnitude Contour')\n", - "plt.xlabel('Width')\n", - "plt.ylabel('Height')\n", - "plt.axis('equal') # Ensure the plot has equal scaling\n", - "plt.tight_layout() # Adjust layout to prevent overlap\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": 22, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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- "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "# Extracting predictions\n", - "u_pred = model(coordinates)[:, 0].detach().reshape(num_points_x, num_points_y).T\n", - "v_pred = model(coordinates)[:, 1].detach().reshape(num_points_x, num_points_y).T\n", - "p_pred = model(coordinates)[:, 2].detach().reshape(num_points_x, num_points_y).T\n", - "\n", - "# Velocity Magnitude\n", - "magnitude = torch.sqrt(u_pred ** 2 + v_pred ** 2)\n", - "\n", - "# Plotting all subplots\n", - "fig, axs = plt.subplots(2, 2, figsize=(15, 10))\n", - "\n", - "# Velocity Magnitude\n", - "im0 = axs[0, 0].imshow(magnitude, extent=(0, width, 0, height), origin='lower', cmap='viridis')\n", - "fig.colorbar(im0, ax=axs[0, 0])\n", - "axs[0, 0].set_title('Velocity Magnitude Contour')\n", - "axs[0, 0].set_xlabel('Width')\n", - "axs[0, 0].set_ylabel('Height')\n", - "axs[0, 0].axis('equal')\n", - "\n", - "# u Component\n", - "im1 = axs[0, 1].imshow(u_pred, extent=(0, width, 0, height), origin='lower', cmap='coolwarm')\n", - "fig.colorbar(im1, ax=axs[0, 1])\n", - "axs[0, 1].set_title('u Component')\n", - "axs[0, 1].set_xlabel('Width')\n", - "axs[0, 1].set_ylabel('Height')\n", - "axs[0, 1].axis('equal')\n", - "\n", - "# v Component\n", - "im2 = axs[1, 0].imshow(v_pred, extent=(0, width, 0, height), origin='lower', cmap='coolwarm')\n", - "fig.colorbar(im2, ax=axs[1, 0])\n", - "axs[1, 0].set_title('v Component')\n", - "axs[1, 0].set_xlabel('Width')\n", - "axs[1, 0].set_ylabel('Height')\n", - "axs[1, 0].axis('equal')\n", - "\n", - "# Pressure\n", - "im3 = axs[1, 1].imshow(p_pred, extent=(0, width, 0, height), origin='lower', cmap='coolwarm')\n", - "fig.colorbar(im3, ax=axs[1, 1])\n", - "axs[1, 1].set_title('Pressure')\n", - "axs[1, 1].set_xlabel('Width')\n", - "axs[1, 1].set_ylabel('Height')\n", - "axs[1, 1].axis('equal')\n", - "\n", - "plt.tight_layout() # Adjust layout to prevent overlap\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": 23, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.plot(beta=10)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.7" - } - }, - "nbformat": 4, - "nbformat_minor": 2 -} diff --git a/tutorials/.ipynb_checkpoints/Unchecked_protein_sequence_classification-checkpoint.ipynb b/tutorials/.ipynb_checkpoints/Unchecked_protein_sequence_classification-checkpoint.ipynb deleted file mode 100644 index 8a746c4d..00000000 --- a/tutorials/.ipynb_checkpoints/Unchecked_protein_sequence_classification-checkpoint.ipynb +++ /dev/null @@ -1,718 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "5d904dee", - "metadata": {}, - "source": [ - "# Protein Sequence Classification\n", - "\n", - "In this example, we will see how to use KAN in protein sequence classification. We will be using one hot encoding to encode the amino acids." - ] - }, - { - "cell_type": "markdown", - "id": "8c7e3d97-d0f6-41bc-8799-ad9c4a608a88", - "metadata": {}, - "source": [ - "#### This is just an example how it can be used for protein sequences. Need to use real data to actually observe the performance." - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "id": "0a59179d", - "metadata": {}, - "outputs": [], - "source": [ - "from kan import *\n", - "import torch\n", - "import random\n", - "import numpy as np" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "id": "3f0cd8cd-1161-4dd1-bbdc-31efe46f78c3", - "metadata": {}, - "outputs": [], - "source": [ - "# Hyperparameters\n", - "PROTEIN_WINDOW_SIZE = 5 \n", - "\n", - "# define the universe of possible input amino acids, ie. vocab list\n", - "aa_list = 'ARNDCQEGHILKMFPSTWYVX'" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "id": "25e9f373-3755-4d53-8529-dcf4b71acf18", - "metadata": {}, - "outputs": [], - "source": [ - "def one_hot_encode(protein_sequence):\n", - " \"\"\"\n", - " One-hot encodes a protein sequence.\n", - "\n", - " Args:\n", - " protein_sequence (str): The input protein sequence.\n", - "\n", - " Returns:\n", - " numpy.array: The one-hot encoded representation of the protein sequence.\n", - " \"\"\"\n", - " # Create a dictionary mapping amino acids to indices\n", - " aa_to_index = {aa: i for i, aa in enumerate(aa_list)}\n", - " \n", - " # Initialize an array of zeros with shape (sequence_length, alphabet_length)\n", - " encoding = np.zeros((len(protein_sequence), len(aa_list)))\n", - " \n", - " # Iterate over the protein sequence and set the corresponding index to 1\n", - " for i, aa in enumerate(protein_sequence):\n", - " if aa in aa_to_index:\n", - " encoding[i, aa_to_index[aa]] = 1\n", - " else:\n", - " # If the amino acid is not in the alphabet, set the last index to 1 (unknown)\n", - " encoding[i, -1] = 1\n", - " \n", - " return encoding" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "id": "90b53975-dd55-4ae0-816f-a4ed5cce7e23", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "GTKYX 1\n", - "TTKPP 1\n", - "AESVY 0\n", - "MYSFD 0\n", - "SQKNT 1\n", - "IDKAC 1\n", - "AXKTA 1\n", - "TESDW 0\n", - "YXSTF 0\n", - "VTSYF 0\n", - "HYKYE 1\n", - "RDSPA 0\n", - "MDSNK 0\n", - "SCKFH 1\n", - "AHKED 1\n", - "EFKYA 1\n", - "EPKLR 1\n", - "GWSRE 0\n", - "GMSYE 0\n", - "IPSKD 0\n", - "NSKQA 1\n", - "TWKNL 1\n", - "TCKFF 1\n", - "HNKSG 1\n", - "QNSKR 0\n", - "RVKYC 1\n", - "TESCP 0\n", - "SMKXE 1\n", - "IYSEV 0\n", - "XQSKD 0\n", - "VKSYN 0\n", - "EESGV 0\n", - "IISMQ 0\n", - "FLKGE 1\n", - "VMKGH 1\n", - "PTKMH 1\n", - "TLSIQ 0\n", - "TTSMA 0\n", - "ATKEE 1\n", - "MGSFT 0\n" - ] - } - ], - "source": [ - "def generate_sample_protein_dataset(num_samples=20, protein_window_size=5):\n", - " \"\"\"\n", - " Generate a dataset of protein sequences of length 11, keeping Lysine(K) in the center for label 1 and Serine(S) for label 0. \n", - "\n", - " Args:\n", - " num_samples (int): Number of samples to generate.\n", - " protein_window_size (int): Length of the protein sequence.\n", - "\n", - " Returns:\n", - " dict: A dictionary containing train_input, test_input, train_label, and test_label.\n", - " \"\"\"\n", - " \n", - " dataset = {'train_input': [], 'test_input': [], 'train_label': [], 'test_label': []}\n", - " alphabet = 'ARNDCQEGHILKMFPSTWYVX'\n", - "\n", - " # Generate half of the samples with label 1 and half with label 0\n", - " label_sequence = [1] * (num_samples // 2) + [0] * (num_samples // 2)\n", - " random.shuffle(label_sequence)\n", - "\n", - " for label in label_sequence:\n", - " # Generate a protein sequence with 'K' in the middle for label 1 and 'S' for label 0\n", - " if label == 1:\n", - " center_aa = 'K'\n", - " else:\n", - " center_aa = 'S'\n", - " sequence = ''.join(random.choices(alphabet.replace(center_aa, ''), k=protein_window_size//2)) + center_aa + ''.join(random.choices(alphabet.replace(center_aa, ''), k=protein_window_size//2))\n", - " print(sequence, label)\n", - " encoded_sequence = one_hot_encode(sequence).flatten()\n", - "\n", - " # Split the dataset into train and test (50% each)\n", - " if len(dataset['train_input']) < num_samples // 2:\n", - " dataset['train_input'].append(encoded_sequence)\n", - " dataset['train_label'].append(label)\n", - " else:\n", - " dataset['test_input'].append(encoded_sequence)\n", - " dataset['test_label'].append(label)\n", - "\n", - " # Convert lists to tensors\n", - " dataset['train_input'] = torch.tensor(dataset['train_input'])\n", - " dataset['test_input'] = torch.tensor(dataset['test_input'])\n", - " dataset['train_label'] = torch.tensor(dataset['train_label']).view(-1, 1)\n", - " dataset['test_label'] = torch.tensor(dataset['test_label']).view(-1, 1)\n", - "\n", - " return dataset\n", - "\n", - "# Generate dataset with 10 samples\n", - "dataset = generate_sample_protein_dataset(40)" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "id": "44e5b378-0d30-4886-8d4f-bc8c515a8e95", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "{'train_input': tensor([[0., 0., 0., ..., 0., 0., 1.],\n", - " [0., 0., 0., ..., 0., 0., 0.],\n", - " [1., 0., 0., ..., 1., 0., 0.],\n", - " ...,\n", - " [0., 0., 0., ..., 0., 0., 0.],\n", - " [0., 0., 0., ..., 0., 0., 0.],\n", - " [0., 0., 0., ..., 0., 0., 0.]], dtype=torch.float64), 'test_input': tensor([[0., 0., 1., ..., 0., 0., 0.],\n", - " [0., 0., 0., ..., 0., 0., 0.],\n", - " [0., 0., 0., ..., 0., 0., 0.],\n", - " ...,\n", - " [0., 0., 0., ..., 0., 0., 0.],\n", - " [1., 0., 0., ..., 0., 0., 0.],\n", - " [0., 0., 0., ..., 0., 0., 0.]], dtype=torch.float64), 'train_label': tensor([[1],\n", - " [1],\n", - " [0],\n", - " [0],\n", - " [1],\n", - " [1],\n", - " [1],\n", - " [0],\n", - " [0],\n", - " [0],\n", - " [1],\n", - " [0],\n", - " [0],\n", - " [1],\n", - " [1],\n", - " [1],\n", - " [1],\n", - " [0],\n", - " [0],\n", - " [0]]), 'test_label': tensor([[1],\n", - " [1],\n", - " [1],\n", - " [1],\n", - " [0],\n", - " [1],\n", - " [0],\n", - " [1],\n", - " [0],\n", - " [0],\n", - " [0],\n", - " [0],\n", - " [0],\n", - " [1],\n", - " [1],\n", - " [1],\n", - " [0],\n", - " [0],\n", - " [1],\n", - " [0]])}\n" - ] - } - ], - "source": [ - "print(dataset)" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "id": "fe465888-e3f2-4f06-bfc2-b93ff17eab63", - "metadata": {}, - "outputs": [], - "source": [ - "# define model\n", - "# create a KAN: 105 inputs, 2D output, and 3 hidden neurons. k=2, 3 grid intervals (grid=3).\n", - "# considering window size: 5, 5 times 21(vocab size), input-> 21 * 5\n", - "\n", - "model = KAN(width=[105,3,2], grid=3, k=2)" - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "id": "e9aa3305-f6da-438d-bf86-36eb12fa4e5f", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 1.04e-03 | test loss: 2.33e-01 | reg: 6.38e+01 : 100%|████| 5/5 [00:15<00:00, 3.00s/it]\n" - ] - }, - { - "data": { - "text/plain": [ - "(1.0, 0.949999988079071)" - ] - }, - "execution_count": 10, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "def train_acc():\n", - " return torch.mean((torch.round(model(dataset['train_input'])[:,0]) == dataset['train_label'][:,0]).float())\n", - "\n", - "def test_acc():\n", - " return torch.mean((torch.round(model(dataset['test_input'])[:,0]) == dataset['test_label'][:,0]).float())\n", - "\n", - "results = model.train(dataset, opt=\"LBFGS\", steps=5, metrics=(train_acc, test_acc));\n", - "results['train_acc'][-1], results['test_acc'][-1]" - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "id": "0bcb80ed-e5fa-456f-8910-15c82e4fd6c0", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "fixing (0,0,0) with x^2, r2=0.9999999665312771\n", - "fixing (0,0,1) with x^2, r2=0.9999979934036755\n", - "fixing (0,0,2) with x^2, r2=0.9999999622133074\n", - "fixing (0,1,0) with x^2, r2=0.9999999799949156\n", - "fixing (0,1,1) with x^2, r2=0.9991883825579457\n", - "fixing (0,1,2) with x^2, r2=0.9999994895376765\n", - "fixing (0,2,0) with x^2, r2=0.9999990593107048\n", - "fixing (0,2,1) with x^2, r2=0.9999996655563207\n", - "fixing (0,2,2) with x^2, r2=0.999999966951783\n", - "fixing (0,3,0) with x^2, r2=0.0\n", - "fixing (0,3,1) with x^2, r2=0.0\n", - "fixing (0,3,2) with x^2, r2=0.0\n", - "fixing (0,4,0) with x^2, r2=0.0\n", - "fixing (0,4,1) with x^2, r2=0.0\n", - "fixing (0,4,2) with x^2, r2=0.0\n", - "fixing (0,5,0) with x^2, r2=0.9999998808271742\n", - "fixing (0,5,1) with x^2, r2=0.9999998953621121\n", - "fixing (0,5,2) with x^2, r2=0.999999968375537\n", - "fixing (0,6,0) with x^2, r2=0.9981315108075913\n", - "fixing (0,6,1) with x^2, r2=0.999999843899342\n", - "fixing (0,6,2) with x^2, r2=0.9999999589830514\n", - "fixing (0,7,0) with x^2, r2=0.0\n", - "fixing (0,7,1) with x^2, r2=0.0\n", - "fixing (0,7,2) with x^2, r2=0.0\n", - "fixing (0,8,0) with x^2, r2=0.9999998200480685\n", - "fixing (0,8,1) with x^2, r2=0.9999999862277233\n", - "fixing (0,8,2) with x^2, r2=0.9999813684975204\n", - "fixing (0,9,0) with x^2, r2=0.9999999870502827\n", - "fixing (0,9,1) with x^2, r2=0.9997068764841773\n", - "fixing (0,9,2) with x^2, r2=0.9999999768060073\n", - "fixing (0,10,0) with x^2, r2=0.0\n", - "fixing (0,10,1) with x^2, r2=0.0\n", - "fixing (0,10,2) with x^2, r2=0.0\n", - "fixing (0,11,0) with x^2, r2=0.0\n", - "fixing (0,11,1) with x^2, r2=0.0\n", - "fixing (0,11,2) with x^2, r2=0.0\n", - "fixing (0,12,0) with x^2, r2=0.9999996829291468\n", - "fixing (0,12,1) with x^2, r2=0.9999747579126426\n", - "fixing (0,12,2) with x^2, r2=0.999999983307972\n", - "fixing (0,13,0) with x^2, r2=0.9999999625943928\n", - "fixing (0,13,1) with x^2, r2=0.9999999376278957\n", - "fixing (0,13,2) with x^2, r2=0.9999982391574459\n", - "fixing (0,14,0) with x^2, r2=0.9999999540837675\n", - "fixing (0,14,1) with x^2, r2=0.999993702906714\n", - "fixing (0,14,2) with x^2, r2=0.9999996570009488\n", - "fixing (0,15,0) with x^2, r2=0.999994330617256\n", - "fixing (0,15,1) with x^2, r2=0.9999996275829637\n", - "fixing (0,15,2) with x^2, r2=0.9999999847151517\n", - "fixing (0,16,0) with x^2, r2=0.9999999965050976\n", - "fixing (0,16,1) with x^2, r2=0.9999999736671104\n", - "fixing (0,16,2) with x^2, r2=0.9999999930306683\n", - "fixing (0,17,0) with x^2, r2=0.0\n", - "fixing (0,17,1) with x^2, r2=0.0\n", - "fixing (0,17,2) with x^2, r2=0.0\n", - "fixing (0,18,0) with x^2, r2=0.0\n", - "fixing (0,18,1) with x^2, r2=0.0\n", - "fixing (0,18,2) with x^2, r2=0.0\n", - "fixing (0,19,0) with x^2, r2=0.9999999090971862\n", - "fixing (0,19,1) with x^2, r2=0.999999811862135\n", - "fixing (0,19,2) with x^2, r2=0.9999989774097001\n", - "fixing (0,20,0) with x^2, r2=0.9999998410838922\n", - "fixing (0,20,1) with x^2, r2=0.999999954524944\n", - "fixing (0,20,2) with x^2, r2=0.9999995236701958\n", - "fixing (0,21,0) with x^2, r2=0.0\n", - "fixing (0,21,1) with x^2, r2=0.0\n", - "fixing (0,21,2) with x^2, r2=0.0\n", - "fixing (0,22,0) with x^2, r2=0.0\n", - "fixing (0,22,1) with x^2, r2=0.0\n", - "fixing (0,22,2) with x^2, r2=0.0\n", - "fixing (0,23,0) with x^2, r2=0.9999999953439344\n", - "fixing (0,23,1) with x^2, r2=0.9999999811625986\n", - "fixing (0,23,2) with x^2, r2=0.9999999555240675\n", - "fixing (0,24,0) with x^2, r2=0.0\n", - "fixing (0,24,1) with x^2, r2=0.0\n", - "fixing (0,24,2) with x^2, r2=0.0\n", - "fixing (0,25,0) with x^2, r2=0.9999998811160122\n", - "fixing (0,25,1) with x^2, r2=0.9999999304599131\n", - "fixing (0,25,2) with x^2, r2=0.9999998146150727\n", - "fixing (0,26,0) with x^2, r2=0.9999984806067732\n", - "fixing (0,26,1) with x^2, r2=0.9999999378197437\n", - "fixing (0,26,2) with x^2, r2=0.9999994597119173\n", - "fixing (0,27,0) with x^2, r2=0.9999991631417857\n", - "fixing (0,27,1) with x^2, r2=0.9999995673636365\n", - "fixing (0,27,2) with x^2, r2=0.9999999532647686\n", - "fixing (0,28,0) with x^2, r2=0.9999999703007609\n", - "fixing (0,28,1) with x^2, r2=0.999999684803164\n", - "fixing (0,28,2) with x^2, r2=0.9999999512126377\n", - "fixing (0,29,0) with x^2, r2=0.0\n", - "fixing (0,29,1) with x^2, r2=0.0\n", - "fixing (0,29,2) with x^2, r2=0.0\n", - "fixing (0,30,0) with x^2, r2=0.9999999361143834\n", - "fixing (0,30,1) with x^2, r2=0.9999999526237395\n", - "fixing (0,30,2) with x^2, r2=0.9999999758476676\n", - "fixing (0,31,0) with x^2, r2=0.9999999772937739\n", - "fixing (0,31,1) with x^2, r2=0.999998823370015\n", - "fixing (0,31,2) with x^2, r2=0.9999999951682172\n", - "fixing (0,32,0) with x^2, r2=0.9999998454496639\n", - "fixing (0,32,1) with x^2, r2=0.9999902771971996\n", - "fixing (0,32,2) with x^2, r2=0.9993939197671529\n", - "fixing (0,33,0) with x^2, r2=0.9979543880597602\n", - "fixing (0,33,1) with x^2, r2=0.9999999733685552\n", - "fixing (0,33,2) with x^2, r2=0.9999999872961335\n", - "fixing (0,34,0) with x^2, r2=0.0\n", - "fixing (0,34,1) with x^2, r2=0.0\n", - "fixing (0,34,2) with x^2, r2=0.0\n", - "fixing (0,35,0) with x^2, r2=0.0\n", - "fixing (0,35,1) with x^2, 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"fixing (0,42,0) with x^2, r2=0.0\n", - "fixing (0,42,1) with x^2, r2=0.0\n", - "fixing (0,42,2) with x^2, r2=0.0\n", - "fixing (0,43,0) with x^2, r2=0.0\n", - "fixing (0,43,1) with x^2, r2=0.0\n", - "fixing (0,43,2) with x^2, r2=0.0\n", - "fixing (0,44,0) with x^2, r2=0.0\n", - "fixing (0,44,1) with x^2, r2=0.0\n", - "fixing (0,44,2) with x^2, r2=0.0\n", - "fixing (0,45,0) with x^2, r2=0.0\n", - "fixing (0,45,1) with x^2, r2=0.0\n", - "fixing (0,45,2) with x^2, r2=0.0\n", - "fixing (0,46,0) with x^2, r2=0.0\n", - "fixing (0,46,1) with x^2, r2=0.0\n", - "fixing (0,46,2) with x^2, r2=0.0\n", - "fixing (0,47,0) with x^2, r2=0.0\n", - "fixing (0,47,1) with x^2, r2=0.0\n", - "fixing (0,47,2) with x^2, r2=0.0\n", - "fixing (0,48,0) with x^2, r2=0.0\n", - "fixing (0,48,1) with x^2, r2=0.0\n", - "fixing (0,48,2) with x^2, r2=0.0\n", - "fixing (0,49,0) with x^2, r2=0.0\n", - "fixing (0,49,1) with x^2, r2=0.0\n", - "fixing (0,49,2) with x^2, r2=0.0\n", - "fixing (0,50,0) with x^2, r2=0.0\n", - "fixing (0,50,1) with x^2, r2=0.0\n", - "fixing (0,50,2) with x^2, r2=0.0\n", - "fixing (0,51,0) with x^2, r2=0.0\n", - "fixing (0,51,1) with x^2, r2=0.0\n", - "fixing (0,51,2) with x^2, r2=0.0\n", - "fixing (0,52,0) with x^2, r2=0.0\n", - "fixing (0,52,1) with x^2, r2=0.0\n", - "fixing (0,52,2) with x^2, r2=0.0\n", - "fixing (0,53,0) with x^2, r2=0.9999999987614517\n", - "fixing (0,53,1) with x^2, r2=0.9999999995688087\n", - "fixing (0,53,2) with x^2, r2=0.999999999716506\n", - "fixing (0,54,0) with x^2, r2=0.0\n", - "fixing (0,54,1) with x^2, r2=0.0\n", - "fixing (0,54,2) with x^2, r2=0.0\n", - "fixing (0,55,0) with x^2, r2=0.0\n", - "fixing (0,55,1) with x^2, r2=0.0\n", - "fixing (0,55,2) with x^2, r2=0.0\n", - "fixing (0,56,0) with x^2, r2=0.0\n", - "fixing (0,56,1) with x^2, r2=0.0\n", - "fixing (0,56,2) with x^2, r2=0.0\n", - "fixing (0,57,0) with x^2, r2=0.9999999977865017\n", - "fixing (0,57,1) with x^2, r2=0.999999999143338\n", - "fixing (0,57,2) with x^2, r2=0.9999999998290019\n", - "fixing (0,58,0) with x^2, r2=0.0\n", - "fixing (0,58,1) with x^2, r2=0.0\n", - "fixing (0,58,2) with x^2, r2=0.0\n", - "fixing (0,59,0) with x^2, r2=0.0\n", - "fixing (0,59,1) with x^2, r2=0.0\n", - "fixing (0,59,2) with x^2, r2=0.0\n", - "fixing (0,60,0) with x^2, r2=0.0\n", - "fixing (0,60,1) with x^2, r2=0.0\n", - "fixing (0,60,2) with x^2, r2=0.0\n", - "fixing (0,61,0) with x^2, r2=0.0\n", - "fixing (0,61,1) with x^2, r2=0.0\n", - "fixing (0,61,2) with x^2, r2=0.0\n", - "fixing (0,62,0) with x^2, r2=0.0\n", - "fixing (0,62,1) with x^2, r2=0.0\n", - "fixing (0,62,2) with x^2, r2=0.0\n", - "fixing (0,63,0) with x^2, r2=0.0\n", - "fixing (0,63,1) with x^2, r2=0.0\n", - "fixing (0,63,2) with x^2, r2=0.0\n", - "fixing (0,64,0) with x^2, r2=0.0\n", - "fixing (0,64,1) with x^2, r2=0.0\n", - "fixing (0,64,2) with x^2, r2=0.0\n", - "fixing (0,65,0) with x^2, r2=0.9999999302979558\n", - "fixing (0,65,1) with x^2, r2=0.9999902406071391\n", - "fixing (0,65,2) with x^2, r2=0.9999998684472524\n", - "fixing (0,66,0) with x^2, r2=0.0\n", - "fixing (0,66,1) with x^2, r2=0.0\n", - "fixing (0,66,2) with x^2, r2=0.0\n", - "fixing (0,67,0) with x^2, r2=0.9999999655544946\n", - "fixing (0,67,1) with x^2, r2=0.9999995390688572\n", - "fixing (0,67,2) with x^2, r2=0.9999997366108699\n", - "fixing (0,68,0) with x^2, r2=0.9999999735303753\n", - "fixing (0,68,1) with x^2, r2=0.9999999539372727\n", - "fixing (0,68,2) with x^2, r2=0.9999998409922631\n", - "fixing (0,69,0) with x^2, r2=0.9999999975190795\n", - "fixing (0,69,1) with x^2, r2=0.9999998840699803\n", - "fixing (0,69,2) with x^2, r2=0.9999999748333692\n", - "fixing (0,70,0) with x^2, r2=0.9999999638112955\n", - "fixing (0,70,1) with x^2, r2=0.999999996122007\n", - "fixing (0,70,2) with x^2, r2=0.9999990113519382\n", - "fixing (0,71,0) with x^2, r2=0.0\n", - "fixing (0,71,1) with x^2, r2=0.0\n", - "fixing (0,71,2) with x^2, r2=0.0\n", - "fixing (0,72,0) with x^2, r2=0.9999999782223539\n", - "fixing (0,72,1) with x^2, r2=0.9999996360566132\n", - "fixing (0,72,2) with x^2, r2=0.9999994783563169\n", - "fixing (0,73,0) with x^2, r2=0.0\n", - "fixing (0,73,1) with x^2, r2=0.0\n", - "fixing (0,73,2) with x^2, r2=0.0\n", - "fixing (0,74,0) with x^2, r2=0.9999999430582801\n", - "fixing (0,74,1) with x^2, r2=0.9999999373180665\n", - "fixing (0,74,2) with x^2, r2=0.9999999928808172\n", - "fixing (0,75,0) with x^2, r2=0.9999999675795376\n", - "fixing (0,75,1) with x^2, r2=0.9999999926331626\n", - "fixing (0,75,2) with x^2, r2=0.9999999455360133\n", - "fixing (0,76,0) with x^2, r2=0.9999999894203153\n", - "fixing (0,76,1) with x^2, r2=0.999999852706142\n", - "fixing (0,76,2) with x^2, r2=0.9999994569257162\n", - "fixing (0,77,0) with x^2, r2=0.0\n", - "fixing (0,77,1) with x^2, r2=0.0\n", - "fixing (0,77,2) with x^2, r2=0.0\n", - "fixing (0,78,0) with x^2, r2=0.9999969548814738\n", - "fixing (0,78,1) with x^2, r2=0.999999895396509\n", - "fixing (0,78,2) with x^2, r2=0.9999997624575255\n", - "fixing (0,79,0) with x^2, r2=0.0\n", - "fixing (0,79,1) with x^2, r2=0.0\n", - "fixing (0,79,2) with x^2, r2=0.0\n", - "fixing (0,80,0) with x^2, r2=0.0\n", - "fixing (0,80,1) with x^2, r2=0.0\n", - "fixing (0,80,2) with x^2, r2=0.0\n", - "fixing (0,81,0) with x^2, r2=0.9999999633167932\n", - "fixing (0,81,1) with x^2, r2=0.9999999924423665\n", - "fixing (0,81,2) with x^2, r2=0.9999999407891473\n", - "fixing (0,82,0) with x^2, r2=0.0\n", - "fixing (0,82,1) with x^2, r2=0.0\n", - "fixing (0,82,2) with x^2, r2=0.0\n", - "fixing (0,83,0) with x^2, r2=0.9964873061598577\n", - "fixing (0,83,1) with x^2, r2=0.9999998536697641\n", - "fixing (0,83,2) with x^2, r2=0.9999999474125241\n", - "fixing (0,84,0) with x^2, r2=0.9999999434524759\n", - "fixing (0,84,1) with x^2, r2=0.9999999848500863\n", - "fixing (0,84,2) with x^2, r2=0.9999997362933968\n", - "fixing (0,85,0) with x^2, r2=0.9999784391692933\n", - "fixing (0,85,1) with x^2, r2=0.9999999123872062\n", - "fixing (0,85,2) with x^2, r2=0.9999981066188347\n", - "fixing (0,86,0) with x^2, r2=0.9999999470214042\n", - "fixing (0,86,1) with x^2, r2=0.9999999622653485\n", - "fixing (0,86,2) with x^2, r2=0.9999999256587131\n", - "fixing (0,87,0) with x^2, r2=0.9999838246792585\n", - "fixing (0,87,1) with x^2, r2=0.9999998906573028\n", - "fixing (0,87,2) with x^2, r2=0.9997398325048757\n", - "fixing (0,88,0) with x^2, r2=0.9999903305520499\n", - "fixing (0,88,1) with x^2, r2=0.9999999129937596\n", - "fixing (0,88,2) with x^2, r2=0.9999994338574667\n", - "fixing (0,89,0) with x^2, r2=0.9999999969824458\n", - "fixing (0,89,1) with x^2, r2=0.9999998811902262\n", - "fixing (0,89,2) with x^2, r2=0.9999999955608072\n", - "fixing (0,90,0) with x^2, r2=0.9999999968821633\n", - "fixing (0,90,1) with x^2, r2=0.9999999231999729\n", - "fixing (0,90,2) with x^2, r2=0.999999921201756\n", - "fixing (0,91,0) with x^2, r2=0.9999734544061402\n", - "fixing (0,91,1) with x^2, r2=0.9999966985161072\n", - "fixing (0,91,2) with x^2, r2=0.9999999489971586\n", - "fixing (0,92,0) with x^2, r2=0.9999999864791468\n", - "fixing (0,92,1) with x^2, r2=0.9999999698743414\n", - "fixing (0,92,2) with x^2, r2=0.9998985820640515\n", - "fixing (0,93,0) with x^2, r2=0.0\n", - "fixing (0,93,1) with x^2, r2=0.0\n", - "fixing (0,93,2) with x^2, r2=0.0\n", - "fixing (0,94,0) with x^2, r2=0.9999572021042229\n", - "fixing (0,94,1) with x^2, r2=0.9999999403042822\n", - "fixing (0,94,2) with x^2, r2=0.9999984955483119\n", - "fixing (0,95,0) with x^2, r2=0.0\n", - "fixing (0,95,1) with x^2, r2=0.0\n", - "fixing (0,95,2) with x^2, r2=0.0\n", - "fixing (0,96,0) with x^2, r2=0.0\n", - "fixing (0,96,1) with x^2, r2=0.0\n", - "fixing (0,96,2) with x^2, r2=0.0\n", - "fixing (0,97,0) with x^2, r2=0.9999999855742208\n", - "fixing (0,97,1) with x^2, r2=0.9999990622913814\n", - "fixing (0,97,2) with x^2, r2=0.9999999661558678\n", - "fixing (0,98,0) with x^2, r2=0.9999998924577429\n", - "fixing (0,98,1) with x^2, r2=0.9999999075025128\n", - "fixing (0,98,2) with x^2, r2=0.9999925555905432\n", - "fixing (0,99,0) with x^2, r2=0.0\n", - "fixing (0,99,1) with x^2, r2=0.0\n", - "fixing (0,99,2) with x^2, r2=0.0\n", - "fixing (0,100,0) with x^2, r2=0.9999999888884751\n", - "fixing (0,100,1) with x^2, r2=0.9999999053398424\n", - "fixing (0,100,2) with x^2, r2=0.9999999274642732\n", - "fixing (0,101,0) with x^2, r2=0.0\n", - "fixing (0,101,1) with x^2, r2=0.0\n", - "fixing (0,101,2) with x^2, r2=0.0\n", - "fixing (0,102,0) with x^2, r2=0.0\n", - "fixing (0,102,1) with x^2, r2=0.0\n", - "fixing (0,102,2) with x^2, r2=0.0\n", - "fixing (0,103,0) with x^2, r2=0.9999997998513549\n", - "fixing (0,103,1) with x^2, r2=0.9999999874737161\n", - "fixing (0,103,2) with x^2, r2=0.9999999891891058\n", - "fixing (0,104,0) with x^2, r2=0.0\n", - "fixing (0,104,1) with x^2, r2=0.0\n", - "fixing (0,104,2) with x^2, r2=0.0\n", - "fixing (1,0,0) with x^2, r2=0.9827286380576173\n", - "fixing (1,0,1) with x^2, r2=0.9753307156038028\n", - "fixing (1,1,0) with x^2, r2=0.99206369703365\n", - "fixing (1,1,1) with x^2, r2=0.9950033104451041\n", - "fixing (1,2,0) with x^2, r2=0.9980758555730187\n", - "fixing (1,2,1) with x^2, r2=0.9973139539011773\n" - ] - } - ], - "source": [ - "lib = ['x','x^2']\n", - "\n", - "model.auto_symbolic(lib=lib)" - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "id": "a62fc07c-1522-4425-8f99-9ab673943cf1", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle 0.44 \\left(0.02 \\left(- x_{1} - 1\\right)^{2} + 0.02 \\left(x_{10} + 1\\right)^{2} + 0.04 \\left(- x_{101} - 1\\right)^{2} + 0.01 \\left(- x_{13} - 1\\right)^{2} - 0.02 \\left(- x_{14} - 1\\right)^{2} - 0.02 \\left(- x_{15} - 1\\right)^{2} + 0.02 \\left(- x_{17} - 1\\right)^{2} + 0.03 \\left(x_{2} + 1\\right)^{2} - 0.01 \\left(x_{20} + 1\\right)^{2} - 0.01 \\left(x_{21} + 1\\right)^{2} - 0.03 \\left(- x_{24} - 1\\right)^{2} + 0.01 \\left(- x_{26} - 1\\right)^{2} - 0.02 \\left(- x_{29} - 1\\right)^{2} - 0.02 \\left(- x_{31} - 1\\right)^{2} + 0.01 \\left(x_{32} + 1\\right)^{2} + 0.01 \\left(- x_{33} - 1\\right)^{2} - 0.01 \\left(x_{37} + 1\\right)^{2} - 0.01 \\left(- x_{39} - 1\\right)^{2} - 0.01 \\left(- x_{40} - 1\\right)^{2} - 0.02 \\left(- x_{54} - 1\\right)^{2} + 0.02 \\left(- x_{58} - 1\\right)^{2} - 0.01 \\left(- x_{6} - 1\\right)^{2} - 0.01 \\left(- x_{66} - 1\\right)^{2} - 0.02 \\left(- x_{68} - 1\\right)^{2} + 0.02 \\left(- x_{69} - 1\\right)^{2} - 0.04 \\left(x_{70} + 1\\right)^{2} + 0.01 \\left(- x_{71} - 1\\right)^{2} + 0.03 \\left(- x_{73} - 1\\right)^{2} + 0.01 \\left(- x_{75} - 1\\right)^{2} + 0.01 \\left(- x_{76} - 1\\right)^{2} + 0.02 \\left(- x_{77} - 1\\right)^{2} - 0.01 \\left(- x_{82} - 1\\right)^{2} - 0.01 \\left(- x_{85} - 1\\right)^{2} - 0.02 \\left(x_{87} + 1\\right)^{2} - 0.01 \\left(x_{9} + 1\\right)^{2} - 0.04 \\left(x_{90} + 1\\right)^{2} + 0.03 \\left(- x_{91} - 1\\right)^{2} + 0.02 \\left(x_{93} + 1\\right)^{2} + 0.03 \\left(x_{98} + 1\\right)^{2} - 0.01 \\left(- x_{99} - 1\\right)^{2} - 1\\right)^{2} + 0.7 \\left(- 0.03 \\left(- x_{1} - 1\\right)^{2} - 0.02 \\left(x_{10} + 1\\right)^{2} + 0.02 \\left(x_{101} + 1\\right)^{2} - 0.03 \\left(x_{104} + 1\\right)^{2} + 0.05 \\left(- x_{13} - 1\\right)^{2} + 0.01 \\left(- x_{15} - 1\\right)^{2} - 0.05 \\left(x_{16} + 1\\right)^{2} - 0.02 \\left(- x_{17} - 1\\right)^{2} - 0.01 \\left(- x_{2} - 1\\right)^{2} + 0.01 \\left(- x_{21} - 1\\right)^{2} + 0.02 \\left(x_{24} + 1\\right)^{2} - 0.01 \\left(- x_{26} - 1\\right)^{2} + 0.01 \\left(- x_{27} - 1\\right)^{2} - 0.02 \\left(- x_{28} - 1\\right)^{2} - 0.03 \\left(- x_{29} - 1\\right)^{2} + 0.03 \\left(- x_{3} - 1\\right)^{2} + 0.04 \\left(- x_{31} - 1\\right)^{2} + 0.05 \\left(- x_{32} - 1\\right)^{2} + 0.03 \\left(- x_{34} - 1\\right)^{2} - 0.01 \\left(- x_{37} - 1\\right)^{2} + 0.02 \\left(- x_{39} - 1\\right)^{2} - 0.03 \\left(x_{40} + 1\\right)^{2} - 0.02 \\left(x_{41} + 1\\right)^{2} - 0.07 \\left(- x_{54} - 1\\right)^{2} + 0.09 \\left(- 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1\\right)^{2} + 0.02 \\left(- x_{16} - 1\\right)^{2} + 0.02 \\left(- x_{17} - 1\\right)^{2} + 0.02 \\left(- x_{20} - 1\\right)^{2} - 0.07 \\left(- x_{21} - 1\\right)^{2} + 0.05 \\left(x_{24} + 1\\right)^{2} + 0.05 \\left(- x_{26} - 1\\right)^{2} - 0.06 \\left(- x_{27} - 1\\right)^{2} - 0.01 \\left(- x_{28} - 1\\right)^{2} - 0.02 \\left(- x_{29} - 1\\right)^{2} - 0.02 \\left(x_{3} + 1\\right)^{2} + 0.06 \\left(- x_{31} - 1\\right)^{2} + 0.01 \\left(- x_{32} - 1\\right)^{2} + 0.05 \\left(- x_{34} - 1\\right)^{2} + 0.06 \\left(- x_{37} - 1\\right)^{2} + 0.03 \\left(- x_{38} - 1\\right)^{2} + 0.01 \\left(- x_{39} - 1\\right)^{2} - 0.13 \\left(- x_{54} - 1\\right)^{2} + 0.09 \\left(- x_{58} - 1\\right)^{2} - 0.04 \\left(x_{6} + 1\\right)^{2} + 0.02 \\left(x_{68} + 1\\right)^{2} + 0.07 \\left(x_{69} + 1\\right)^{2} + 0.04 \\left(- x_{7} - 1\\right)^{2} - 0.02 \\left(- x_{70} - 1\\right)^{2} + 0.08 \\left(- x_{71} - 1\\right)^{2} + 0.02 \\left(- x_{73} - 1\\right)^{2} + 0.03 \\left(- x_{75} - 1\\right)^{2} - 0.06 \\left(- x_{76} - 1\\right)^{2} + 0.02 \\left(- x_{77} - 1\\right)^{2} - 0.04 \\left(x_{79} + 1\\right)^{2} - 0.08 \\left(x_{82} + 1\\right)^{2} - 0.04 \\left(x_{84} + 1\\right)^{2} + 0.06 \\left(x_{85} + 1\\right)^{2} + 0.05 \\left(- x_{86} - 1\\right)^{2} + 0.07 \\left(- x_{87} - 1\\right)^{2} + 0.04 \\left(x_{88} + 1\\right)^{2} - 0.05 \\left(- x_{89} - 1\\right)^{2} + 0.12 \\left(x_{9} + 1\\right)^{2} - 0.02 \\left(x_{90} + 1\\right)^{2} - 0.02 \\left(- x_{91} - 1\\right)^{2} - 0.01 \\left(- x_{92} - 1\\right)^{2} - 0.04 \\left(- x_{93} - 1\\right)^{2} - 0.06 \\left(- x_{95} - 1\\right)^{2} + 0.01 \\left(x_{98} + 1\\right)^{2} - 0.05 \\left(- x_{99} - 1\\right)^{2} - 1\\right)^{2} - 0.57$" - ], - "text/plain": [ - "0.44*(0.02*(-x_1 - 1)**2 + 0.02*(x_10 + 1)**2 + 0.04*(-x_101 - 1)**2 + 0.01*(-x_13 - 1)**2 - 0.02*(-x_14 - 1)**2 - 0.02*(-x_15 - 1)**2 + 0.02*(-x_17 - 1)**2 + 0.03*(x_2 + 1)**2 - 0.e-2*(x_20 + 1)**2 - 0.e-2*(x_21 + 1)**2 - 0.03*(-x_24 - 1)**2 + 0.01*(-x_26 - 1)**2 - 0.02*(-x_29 - 1)**2 - 0.02*(-x_31 - 1)**2 + 0.01*(x_32 + 1)**2 + 0.01*(-x_33 - 1)**2 - 0.e-2*(x_37 + 1)**2 - 0.01*(-x_39 - 1)**2 - 0.e-2*(-x_40 - 1)**2 - 0.02*(-x_54 - 1)**2 + 0.02*(-x_58 - 1)**2 - 0.01*(-x_6 - 1)**2 - 0.01*(-x_66 - 1)**2 - 0.02*(-x_68 - 1)**2 + 0.02*(-x_69 - 1)**2 - 0.04*(x_70 + 1)**2 + 0.01*(-x_71 - 1)**2 + 0.03*(-x_73 - 1)**2 + 0.01*(-x_75 - 1)**2 + 0.01*(-x_76 - 1)**2 + 0.02*(-x_77 - 1)**2 - 0.01*(-x_82 - 1)**2 - 0.e-2*(-x_85 - 1)**2 - 0.02*(x_87 + 1)**2 - 0.e-2*(x_9 + 1)**2 - 0.04*(x_90 + 1)**2 + 0.03*(-x_91 - 1)**2 + 0.02*(x_93 + 1)**2 + 0.03*(x_98 + 1)**2 - 0.01*(-x_99 - 1)**2 - 1)**2 + 0.7*(-0.03*(-x_1 - 1)**2 - 0.02*(x_10 + 1)**2 + 0.02*(x_101 + 1)**2 - 0.03*(x_104 + 1)**2 + 0.05*(-x_13 - 1)**2 + 0.01*(-x_15 - 1)**2 - 0.05*(x_16 + 1)**2 - 0.02*(-x_17 - 1)**2 - 0.e-2*(-x_2 - 1)**2 + 0.01*(-x_21 - 1)**2 + 0.02*(x_24 + 1)**2 - 0.01*(-x_26 - 1)**2 + 0.01*(-x_27 - 1)**2 - 0.02*(-x_28 - 1)**2 - 0.03*(-x_29 - 1)**2 + 0.03*(-x_3 - 1)**2 + 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0.01*(-x_32 - 1)**2 + 0.05*(-x_34 - 1)**2 + 0.06*(-x_37 - 1)**2 + 0.03*(-x_38 - 1)**2 + 0.01*(-x_39 - 1)**2 - 0.13*(-x_54 - 1)**2 + 0.09*(-x_58 - 1)**2 - 0.04*(x_6 + 1)**2 + 0.02*(x_68 + 1)**2 + 0.07*(x_69 + 1)**2 + 0.04*(-x_7 - 1)**2 - 0.02*(-x_70 - 1)**2 + 0.08*(-x_71 - 1)**2 + 0.02*(-x_73 - 1)**2 + 0.03*(-x_75 - 1)**2 - 0.06*(-x_76 - 1)**2 + 0.02*(-x_77 - 1)**2 - 0.04*(x_79 + 1)**2 - 0.08*(x_82 + 1)**2 - 0.04*(x_84 + 1)**2 + 0.06*(x_85 + 1)**2 + 0.05*(-x_86 - 1)**2 + 0.07*(-x_87 - 1)**2 + 0.04*(x_88 + 1)**2 - 0.05*(-x_89 - 1)**2 + 0.12*(x_9 + 1)**2 - 0.02*(x_90 + 1)**2 - 0.02*(-x_91 - 1)**2 - 0.e-2*(-x_92 - 1)**2 - 0.04*(-x_93 - 1)**2 - 0.06*(-x_95 - 1)**2 + 0.01*(x_98 + 1)**2 - 0.05*(-x_99 - 1)**2 - 1)**2 - 0.57" - ] - }, - "execution_count": 12, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "formula1, formula2 = model.symbolic_formula()[0]\n", - "formula1" - ] - }, - { - "cell_type": "code", - "execution_count": 13, - "id": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.plot()" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "1f86e6c9-1896-478f-ac95-c7b73ae6c28d", - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.7" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/tutorials/.ipynb_checkpoints/Unchecked_symbolic_regression-checkpoint.ipynb b/tutorials/.ipynb_checkpoints/Unchecked_symbolic_regression-checkpoint.ipynb deleted file mode 100644 index 0b595b62..00000000 --- a/tutorials/.ipynb_checkpoints/Unchecked_symbolic_regression-checkpoint.ipynb +++ /dev/null @@ -1,5420 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "134e7f9d", - "metadata": {}, - "source": [ - "# Example 4: Symbolic Regression" - ] - }, - { - "cell_type": "markdown", - "id": "2571d531", - "metadata": {}, - "source": [ - "The symbolic space is very dense, which means getting the correct symbolic formula (if existing at all) is a hard task. We will show how sentitive symbolic regression is, especially in the presence of noise. This is good or bad:\n", - "\n", - "**Good**: One can easily find symbolic formulas that match with data quite well (within some tolerable epsilon). When one does not care about the exact symbolic formula, they might be happy with these approximate symbolic formulas that fit their data well. These approximate symbolic formulas provide some level of insight, have predictive power and are easy to compute.\n", - "\n", - "**Bad**: It's hard to find the exact formula. When one does care about the exact formula, we either care about (i) its generalizability in future cases (like Newton's gravity), or (ii) fitting the clean data or solving a PDE as precise as machine precision. For case (i), it is open-ended and requires case-by-case analysis. For case (ii), we can get a (hopefully) clear signal of the correctness of a symbolic formula by noticing the loss to go down to near machine precision. We will use an example to demonstrate this below." - ] - }, - { - "cell_type": "markdown", - "id": "7c308c65", - "metadata": {}, - "source": [ - "## Part I: Automated vs manual symbolic regression (How can we know that we get the exact formula?)" - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "id": "2075ef56", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "(torch.Size([1000, 2]), torch.Size([1000, 1]))" - ] - }, - "execution_count": 1, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "from kan import *\n", - "# create a KAN: 2D inputs, 1D output, and 5 hidden neurons. cubic spline (k=3), 5 grid intervals (grid=5).\n", - "model = KAN(width=[2,5,1], grid=5, k=3, seed=0)\n", - "\n", - "# create dataset f(x,y) = exp(sin(pi*x)+y^2)\n", - "f = lambda x: torch.exp(torch.sin(torch.pi*x[:,[0]]) + x[:,[1]]**2)\n", - "dataset = create_dataset(f, n_var=2)\n", - "dataset['train_input'].shape, dataset['train_label'].shape" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "id": "8aa1966d", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 1.54e-01 | test loss: 1.30e-01 | reg: 2.02e+01 : 100%|██| 20/20 [00:15<00:00, 1.26it/s]\n" - ] - } - ], - "source": [ - "# train the model\n", - "model.train(dataset, opt=\"LBFGS\", steps=20, lamb=0.01, lamb_entropy=10.);" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "id": "943d9182", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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QUqKtrQ2dnZ1oa2uDlNLoKhF5NCHZSojuymazYe3atXjrrbdw/vx5VZ6amooXXngB3/3udxEZGWlcBYk8FMOF6C5KS0tRXFwMu90OAJreihACABASEoKSkhIUFhYaUkciT8VwIbqD0tJSFBUVQUoJl8t1158zmUwQQmDbtm0MGKKbMFyIbmGz2ZCYmIje3t6vDRY3k8kEq9WKpqYmDpERfYUT+kS3WLt2Lex2+5CCBQBcLhfsdjvWrVs3yjUj8h7suRDdREqJtLQ01NfXD2tFmBACKSkpqK2tVfMxRP6M4UJ0k5aWFsTFxY3o8zExMTrWiMg7cViM6Cbt7e0j+nxXV5dONSHybmajK0BkpL6+Phw/fhyHDx/G4cOH8cUXX4zo+z788EPk5+cjKysLcXFxHCIjv8VhMfIrnZ2dKC8vR1lZGQ4fPoyTJ09iYGAAERERmDdvHubPn49f/epXaGpqGvZ3x8XF4ZlnnsGlS5cAADExMcjOzkZ2djaysrIwadIkhg35DfZcyKe1traqICkrK8OZM2fgcrkwfvx4LFiwAKtXr8aCBQuQmZkJk+nGKLHT6cTLL7887An9V199FS+++CK6u7tRXV2NyspKVFZW4tChQ3C5XAgLC1NBk52djSlTpiAgIGC0/tOJDMWeC/mUpqYmlJWVqUCpra0FAEyePBkLFizAggULMH/+fEydOvWuvQi933Pp6+vDuXPnUFlZiaqqKpw7dw6Dg4OwWq3IyMhQvZvU1FRYLJYR/fcTeQqGC3ktKSXOnz+v5kvKysrUcFZGRgbmz5+vwiQhIWFY3z3cN/S3b9+OgoKCIX334OAgzp8/j6qqKlRWVqK6uhq9vb2wWCxIS0tTvZv09HRYrdZh1ZvIUzBcyGs4nU5UVlZqhrlaWlpgMpkwc+ZMFSbz5s1DdHT0iH/fUPcW27hx45CD5U5cLhcaGxvVMFpVVRU6OzthMpmQkpKihtEyMzMRFhY2sv8oojHCcCGPNTAwgFOnTqkgOXLkCLq6uhAYGIg5c+aoYa65c+ciNDR0VOpgs9mwbt06/O53v7ttV+QXX3wR3/3udxEREaHr75RS4sqVKypoKisr0dLSAgBISkrSzNvoEaJEo4HhQh7Dbrfj2LFjapjr6NGj6O/vx7hx45CXl6fCZPbs2QgKChrTurnPc+nq6kJYWBiio6PHdOVXc3OzCprKykpcuXIFADBhwgRN2EyYMIEr0sgjMFzIMDabDUeOHFHDXKdPn4bD4UBUVBTmz5+vhrlycnJgNnNh481sNptakVZVVYULFy5ASomoqCgVNNnZ2UhKSmLYkCEYLjRmrl27ppkvqaqqgpQSEydO1KzkSktLU8uCaWh6enpQU1Ojejd1dXVwOp0YN24csrKyVOCkpKRw+TONCYYLjQopJS5evKjC5PDhw2hoaAAApKSkqCBZsGABn65HQX9/P+rq6tQw2rlz59Df34+goCCkp6ernk1aWhoCAwONri75IIYL6cLlcqG2tlb1Sg4fPoyrV69CCIGsrCzVM5k3bx4mTJhgdHX9jtPpRH19verZVFVVoaenBwEBAZg2bZqat8nMzERISIjR1SUfwHChe+JwOHDmzBnVKzly5Aja29thNpuRm5ureiX5+fk8QMsDSSlx6dIl1bOprKyEzWaDEALJyclqGC0rK0v31XDkHxguNCT9/f04fvy46pWUl5ejp6cHQUFByMvLU2Fy33338cnXC0kpce3aNc27NteuXQMAJCQkaPZIG8mRBOQ/GC50R93d3SgvL1c9kxMnTmBgYADh4eHIz89Xw1wzZ87kmL2Pam1tRVVVlRpKc2/IGRsbq1n+nJCQwDkzug3DhQAAbW1tmj25Kioq4HK5EBsbq5l8z8rK4mojP9XV1aVZ/lxfXw+Xy4Xw8HDNMFpycjJX+xHDxV9dvnxZhUlZWRlqamoAAImJiZplwampqXwqpTvq7e3VbMhZW1urNuTMzMxUgcMNOf0Tw8UPSClRX1+vWRbsHuJIT09XLyzOnz8fiYmJBteWvNXg4CDq6uo0G3L29fVpNuTMzs5Geno6goODja4ujTKGiw9yOp2orq7WLAtubm6GyWRCTk6O6pXMmzcPsbGxRleXfJTT6bxtQ86uri61Iad7GC0rK2vU9oYj4zBcfMDAwABOnz6tguTIkSPo7OxEYGAgZs2apYa58vLyuKsuGUZKicuXL2v2SGttbQVw47ydm+dtuCGn92O4eKHe3l4cPXpUzZeUl5ejr68PISEhmmXBc+bM4fADeSwp5W0bcl69ehUAEB8frwkbbsjpfRguXmLPnj04dOgQDh8+jFOnTsHhcCAyMlIzXzJjxgxOnJJXs9lsml0EGhsbIaVEdHS0Cpu8vDz2bLwAw8VLtLe3w+VywWKxqP8FBATwaY58msPhQFdXFzo7O9HV1YXu7m5kZGQgKirK6KrRN2C4eAmXywUhBMOE/JrT6YQQgu/ReAGGCxER6Y7xT0REuuPxfl9xOp04evQourq6jK6K18vNzeXmhl7K6XTi3Llz6O3tNboqXi8lJcWvdwTnsNhXent7sXLlSvT19WHcuHFGV8dr1dfX43e/+x2WL19udFXoHvT39+OnP/0pBgYGuIx9BK5evYrnn38eeXl5RlfFMOy5fEVKCZPJhH//93/H/fffb3R1RpXL5UJfXx+klAgODtZtI0qHw4GnnnpKl+8i4wgh8Nxzz2H69OlGV8UruPdYS01NRWhoKBwOB1577TX4+3M7w+UWAQEBCAoKMroaupNSwuFw4PDhw9iwYQPOnj0Lp9OJadOm4cknn8SyZcsQGBg4otVoXM3mO0wmE9+ZGgIpJaqrq/H6668jNjYW+fn5WLp0KdsBGC5+QUqJrq4u/PrXv8a7776rGU+vr6/H/v378cQTT+Df/u3fEB4ezoZBNEQulwuHDh3C4OAgrl69iu3btyM3N9foankEhouPk1Kiu7sbP/7xj7Fp0ya4XK7bfmZgYAAbNmzAwMAAfvnLX3LOiTTcwzt86LhdS0sLzpw5o66nTJmCqVOnGlgjz8GlyD5ucHAQv/nNbzTBEhAQgMzMTOTm5sJsvvF8IaVESUkJ/vKXv9wxgMg/DQ4O4tixY1w9dgdSSpw6dQqdnZ2qbN68eVwI8RWGiw+TUuKTTz7B2rVrVWAEBQXh5ZdfxpYtW/Dxxx/jX/7lX9Qck9PpxO9//3ucPXvW7ycjCejp6cH69evx29/+Fh9++CEGBweNrpJHcTgcOHLkiGorISEhmDt3rsG18hwMFx8lpcTFixfxy1/+En19fQBu9Fief/55vPTSS4iIiMC4cePwz//8z3j66afVkEdrayvefPNNDAwMGFl9Mlh/fz/efvtt/O///i8GBwexY8cOHDp0iA8dN2lubsb58+fV9bRp0xAfH29gjTwLw8VHuXshjY2NqqygoAA//OEPNauALBYLXnrpJaSlpamy3bt3a57IyP9YLBYkJiaqh47BwUF88MEHaG5u5n2BGw9vZ8+eRU9PD4Ab81Fz585Vw8zEcPFJUkocP34cJSUlqmzixIn4yU9+gpCQEM3PCiEwYcIE/PCHP1QNo7e3F3/84x/Ze/FjJpMJq1atQn5+viq7fv06SktLGS64sUrs+PHj6u/CarVixowZXPRwE4aLDxoYGMDvf/97dHd3A7jxD8UPfvADpKWl3fHmF0KgqKgIM2fOVGUHDx7EqVOn+A+JHwsODsZTTz2l2d7+wIEDuH79uoG18gw2mw11dXXqOjk5GRMmTDCwRp6H4eJjpJT44osv8Omnn6qy6dOn44knnvjap6rQ0FA899xz6m19u92O//mf/+HKMT8mhMDEiROxZMkSVdbe3u73cy9SStTW1qKjo0OVzZw5ky+d3oLh4mMGBwfx5z//WS0dNZvN+Md//Mdv3EBPCIGCggJMmzZNle3cuVMzZ0P+x2QyYfHixYiIiFBln332mZpr8EdSSpw+fVo9eFksFsyYMcPgWnkehosPkVKioqJC02vJycnB8uXLhzQWHBkZieLiYnXd2tqKrVu3+vVTKgHjx4/HnDlz1PWVK1dQXV3tt/dFX18fqqur1fX48eM1ix/oBoaLD3G5XNiwYYN6qjSZTHj22WcRFhY2pM8LIbBy5UrExsaqss2bN/MYAj9nMpnw4IMPqmEfp9OJw4cP++2Q6dWrV3Ht2jV1nZmZCavVamCNPBPDxYdcvHgRO3fuVNepqakoLCwc1hPV5MmT8dBDD6nrc+fOoby83G+fUunGQ0daWhoSExNVWUVFBWw2m3GVMoiUEpWVlejv7wdw4++Gq8TujOHiI6SU2LJlC5qbm1VZcXExYmJihvU9JpMJxcXFCAwMBHBjDudue5KR/wgODta8fd7e3o6qqiq/e+hwuVw4e/asug4NDcW0adMYLnfAcPERnZ2d2LRpk7qOjY3FqlWrhn3TCyFw3333aV6q/PTTT3HlyhW9qkpeyH1fuLcKklLi6NGjfvfQ0dXVhYaGBnWdmJg47Ac4f8Fw8QFSSpSVlaG2tlaVLVmyBFOmTLmn7wsLC0NRUZG6vn79Ovbv3+93T6mklZiYqBkaq66u1mza6OvcWyrdPByYlZXFt/LvguHiA5xOJzZu3Kg2FgwKCsLjjz8Ok+ne/u8VQmDFihVqIYCUElu3buUb+34uKChIc1ZJe3s7zp8/71cPHVVVVXA6nQBu7NWXnZ1tcI08F8PFBzQ1NeHgwYPqOisrC/fdd9+IxoFTU1M1y0+PHz+u2aSP/I8QArNmzdKsGjt58qSxlRpDDocDVVVV6jo8PBxTpkzhfMtdMFy8nJQSu3btQltbmyp79NFHR3zgV2BgIFauXKkaTldXF3bu3OlXT6l0u8mTJyMuLk5dV1ZW+s1ZL52dnWhqalLXU6ZMGfIyf3/EcPFyfX19mhcdo6Kihr38+E6EEFi0aBHGjx+vyrZv3w673T6i7yXvFhISgqysLHV97do1XL161cAajZ2LFy9q3vnKyMhQ2yXR7RguXkxKierqalRUVKiy/Px8JCcn6/L9CQkJWLhwobquqanB6dOn2XvxY0IIzJw5Uz289Pf3+8Xhcu62dvN8S0ZGBofEvgbDxcvt2LFD9Sbc26TrtXrFZDJh5cqV6vv6+vrwySef+Pw/JHR3QghMmzYNoaGhquzMmTPqH11f5XA4UFNTo64jIiKQlJRkYI08H8PFi3V3d2PXrl3qeuLEiVi4cKFuT1NCCOTn52sa0Z49ezTzO+R/oqOjMXnyZHXd0NDg80uSb51vmTx5MudbvgHDxUtJKXHq1CnNmRIPPvigZrJVD1FRUVi6dKm6vnTpEr744gv2XvyY2WzWLMHt7OzEhQsXfPqeuHTpkma+JTMzk/Mt34Dh4sV27Nih9jgym80oKiq653db7kYIgUceeQTBwcEAbgwPbNmyxe/ezKb/J4TA9OnT1XCp0+nUbIniazjfcm8YLl7KZrNh//796jopKWnE77bciXsCNzMzU5UdOnSI28H4uaSkJM0JldXV1eolXl/jcDg0W+xHRkZqdiqgO2O4eCEpJU6ePIkLFy6oskWLFmkau55CQkKwYsUKdd3c3Ix9+/b59DAIfb3Q0FBMnTpVXV++fBmtra0G1mj03DrfkpSUxPmWIWC4eCEpJUpLS9WTYmBgIFasWDFq3XQhBAoLCxEeHq5+/6ZNm9SQHPkfk8mE6dOnq+uenh7U19f73AOHez8xzrcMH8PFC3V0dODAgQPqesqUKZg1a9aojgGnpqYiLy9PXZ84ccIv3m+gOxNCIDMzUx3N4D7nxBdxvuXeMFy8jPv87osXL6qyb33rW6pXMVosFgtWr16tFgzY7XZ8/PHHDBc/Fh8fr1mdWFtb63O92Tu938L5lqFhuHihnTt3qiExi8WCgoKCUX+SEkJg8eLFmndeduzYgevXr4/q7yXPZbVakZqaqq6vXr2qOazOF/D9lnvHcPEytw6JJSUlabbjGE0xMTGac16ampqwY8cO9l78lBAC2dnZ6t7r6+vzqS34Od8yMgwXL+IeErt5ldiDDz6IyMjIMfn9QggUFxdrJvbfe+89dHd3j8nvJ88ihEBaWprmdMrKykqfCReA8y0jwXDxMjt37lSHdlksFl12QB4qIQQyMjKwaNEiVXbmzBns2bPHp/5BoaEbP368Zufsuro69PX1GVgj/dw638L3W4aH4eJFOjs7NUNiiYmJo75K7FZmsxnPPvus5o39P/7xj+jp6RmzOpDnCAoKwrRp09T1tWvXcO3aNQNrpJ/Ozk5cunRJXXO+ZXgYLl7kzJkzmiGxBx54YNRenLwb92aWCxYsUGUnTpzA5s2b2XvxQ7fOuwwMDKC2ttYn7oXGxkbNkC/nW4aH4eIl3CdO3ryX2FisEruToKAg/NM//ROsViuAG72Xt956i1vC+CH3Fvzue8FX5l24n9jIMVy8RFdXl2YvsUmTJmHOnDmG3OxCCNx///1Yvny5Kvvyyy/x+eefj3ldyHixsbGIj49X1/X19V5/YinnW0aO4eIFpJQ4e/Ys6uvrVdnChQsRHR1tWJ0sFgteeuklxMfHIycnB++88w4ee+wxw+pDxgkKCkJ6erq6bmlp8fqjj202m+b9lilTpnC+ZZgYLl5i9+7dmiGxsVwldidCCKSnp+O///u/8f7776OgoAAWi8Ww+pCxbp13OXfunNcOjUkp0dDQoHm/JSsrS/fjLHwd/7buwv0ClSecsNfd3Y29e/eq64kTJ47K9vrDZTKZkJ+fj9jYWMPrQsYRQiAlJQXjxo1TZWfPnvXqM3+qqqpU/S0WCzIzM3mPDxPD5Q7sdjvWr1+P1atX47/+678MPR/cPUF665BYTEyMYXW6GRscATeOPr55TqKhocFrX64dGBjQnN8SHR2NSZMmGVgj78RwuUVfXx9eeeUV/Ou//iuamprwl7/8BceOHTO0i79r1y71YlpAQIDhQ2JEt3I/3bu1t7drNlf1Ji0tLZqVj7f2ymhoGC63CAoKwpQpU1RvpaOjA7/61a8MW/3S09OjGRJLSEjA3LlzGS7kcbKzs9V7IA6HwyuXJEspUVdXp2nvOTk5nG+5B/wbu4UQAt/73vcwc+ZMVVZWVoZPPvlkzBuKe0js/PnzqmzBggUeMyRG5CaEQHJysuboh8rKSjgcDgNrNXxSSpw5c0a19eDgYKSnp/Nh7h4wXO4gJiYGP/rRjzQvCb799ttoa2sb87rcOiS2fPlyPkWRRwoPD9ccfXzx4kVD2sxI2O12zfst8fHxmnd4aOj4r9QdCCGwaNEiLFu2TJXV1NSM+RYn3d3d2LNnj7qeOHEi8vLy+BRFHikgIAAzZsxQ193d3V63FUxTU5PmTJrMzEy1jx4ND8PlLgIDA/GDH/wAoaGhAACXy4W1a9eivb19TH6/u3t+85DYwoULERsbOya/n2i43PuM3bwF/+nTp70mXKSUqKioUAfxmUwmzfA4DQ/D5S6EEJg5cyYKCgpU2blz57B9+/YxayylpaVqSMxsNmPFihXstZBHmzhxIiZMmKCuq6urvWYrGIfDgYqKCnUdERGB1NRUtrl7xHD5GmazGf/wD/+gliG6XC68++67Y7J+v7Ozk6vEyOtYrVZMnz5dXTc3N+PixYte0Xu5fv06Ghsb1XVqauqYHcTnixguX8Pde1m8eLEqO3PmDA4ePDiqjUVKiZMnT6KhoUGVLVq0iKvEyCvk5uaqJcmDg4M4efKksRUaAvf+fe5elhACs2fP5uKZEeDf3DewWCx49tln1Tjy4OAg3n33XXUa5GiQUuKTTz7RnDhZVFTEXgt5PCEEUlNTNecMnTp1Su2L56mcTqfmZemQkBBMnz6dbW4EGC7fwH041uzZs1XZ4cOHUVFRMWq9l9bWVuzbt09dT506FbNnz+aNTl4hPDxc87Z+U1OTZodhT9TS0oJz586p6+TkZM3xzTR8DJchsFqtePrpp1VX326347333huVjfmklDh06JBm+4mHH34YERERuv8uotFgMpk0G6v29/cbvoXS13Gvart5LnXu3Lnc5XuEGC5DIITAsmXLkJKSospKS0s152vrxel0YsuWLWr7GavViqKiIt1/D9FocS9Jvnlo7NixY2rlo6dxOBwoKyvTDInNmjWLIwUjxHAZoujoaHz7299W183NzaPyUmVjYyPKysrU9fTp05GVlcUbnbxKZGSkZtXYpUuX0NDQ4JG9l6amJtTW1qrrtLQ0vpWvA4bLMDz22GOaFVslJSWw2Wy6fb+UEjt27EBrayuAG0+Ajz76qNqGhshbmEwmzJ8/X7Nq7PDhwx4XLu5h6N7eXgA32tzChQthNpsNrpn3Y7gMkRACU6ZM0bxUWVdXh3379unWYHp6erBlyxZ1HR0djYKCAvZayOsIIZCVlaWZFD969Cg6OjoMrNXtOjo6NCMF0dHRyM3NZZvTAcNlGEwmE5588knVk3A6nXjvvfd0WWYppcTRo0dRWVmpyh588EFMnjx5xN9NZISwsDDMnTtXXbe0tODEiRMe03txt7lr166psvz8fM1cEd07hsswCCEwa9YsTYMpLy/HqVOnRtxgnE4nPvjgA827LY8//rgaViDyRg888IB6GJNSYt++faP6jthw2O127N69W7Vdq9WKxYsXs9eiE4bLMAUFBWmWJff29uKvf/3riJYlSylRX1+vebclIyMD8+bN441OXksIgcmTJyMrK0uV1dXVoaqqyvDei5QSx44d0+yCMWPGDEyePJltTicMl2ESQmDx4sWYNm2aKtu5cycaGxtH1GBKSkrU2RdCCBQXFyMsLGzE9SUyktlsxtKlSzUT+6WlpYYfItbd3Y2tW7eqJf+BgYFYvnw5J/J1xHC5B1FRUSguLlbXLS0t+Oijj+75+65du4aNGzeq6/j4eDzyyCN8giKv596f7+Z3xE6fPo3q6mrDei8ulwt79+7FhQsXVFlubi6X/OuM4XIPhBB47LHHNCthPvroI1y/fn3Y3yWlxKZNmzQvZBYVFSExMVGXuhIZLTg4GIWFhWoTyP7+fmzZssWQuRcpJS5duqQ5ttxqtWLlypXsteiM4XKPkpKS8Oijj6rrixcvYtOmTcN+GmtpacH69evV5yIjI/HMM8/wCYp8hhACeXl5mt5LRUUFjh49Oqa9Fykl7HY71q1bpzn0b9GiRUhPT2eb0xnD5R4JIfD000+rPb+klFi/fj1aWlqG/B1SSnz44Yea0yZXrFjBG518TkhIiKZ34HA48NFHH6G9vX3MAsbhcODDDz/E6dOnVVlCQgJWrVrFrfVHAf9G75EQApmZmVi+fLkqO3/+PD7++OMhNRZ39/zPf/6z+vmIiAisWbOGy4/J5wghcN9992HWrFmqrKmpCSUlJaM+uS+lxODgIDZt2oQdO3ao9hYUFITvfOc7iI2N5cPcKGC4jEBAQADWrFmD8PBwADcmCv/0pz9pdjS+G6fTiXfeeUcz17Jq1SpkZ2fzRiefFBgYiCeeeEK1Fykl9u7di4MHD47KDuPu32G327FhwwZNkJlMJqxcuVKzezPpi+EyAkII5OTk4JFHHlFljY2N+NOf/qSWON6JlBKff/45/vrXv6qyCRMm4Pvf/z57LeSzhBBITk7GY489plmavH79epw8eVLX4TEpJZxOJ2pqavDrX/8a27ZtU8EihMBDDz2EVatWsb2NIobLCAUEBOD73/8+YmNjAdy4qd99912Ul5ffsbFIKfHll1/iF7/4hTo/wmQy4Xvf+x5SUlL4FEU+zWQyoaCgAPn5+aqsq6sLf/jDH3Ds2LER92CklBgYGEBNTQ3+8Ic/4LXXXsPZs2dVWzSZTHjooYc0p8vS6GC4jJAQAunp6XjuuedUMHR0dODnP/85rl+/rgkYKSW6u7vxs5/9DGfOnFHlc+fOxd/93d9xUpH8QlBQEJ577jmkpaWpMpvNhrfeegtbt26F3W4fVi/G3Utpbm7Gnj178Nprr+E//uM/8Omnn6rdjt2/99vf/jbWrFmDkJAQPsiNMi7s1oHJZMKaNWuwZ88enDhxAgBw4sQJ/PjHP8ZvfvMb1atpa2vDL37xC2zdulV9NiYmBj//+c950iT5DSEEoqOj8fzzz+P1119XLzP29PRgw4YN+OKLL1BUVIQZM2Zg3LhxEEJogsAdPIODg2hra0NNTQ3Ky8tRVVWFzs7O24LJvaP5U089hVmzZsFkMjFYxgDDRSfR0dH42c9+hr//+79Xa+h37NiBK1eu4KmnnoLL5cL777+P06dPq5s/ODgYP/nJTzB79mze7ORXhBBISEjAK6+8grffflu9se9yuVBTU4Pa2lrExsZi2rRpmDp1KmJiYmCxWDAwMID29nZcuXIFjY2N+PLLL+/a0xFCYOLEiXj44YexePFihIaGsp2NIYaLToQQmDdvHl599VW8+uqr6O3thZQSp06dwqlTp277+cDAQLzwwgv427/9Ww6HkV9y/+P/ox/9CO+//z7279+v3tp3uVy4fv06rl+/js8//1z9/FCGy4KDg5Geno5FixZh9uzZCAsLY6gYgOGiI/d5Lw6HA//5n/9514ORwsPD8corr2DNmjWwWCxjXEsizyGEQHh4ONasWYP8/Hxs2rQJNTU1GBwcvO1nvy5YgoKCMGnSJMydOxf5+fmYNGkSzGYzQ8VADBedmc1mPPvss8jIyMDrr7+Oo0ePwm63AwDGjRuH/Px8vPjii8jPz+cySCLcCBiz2aw2j6yrq0NZWRkqKyvR3NyM/v5+zSoyk8mEwMBAREREqC39c3JykJCQgMDAQAaKh2C4jAL3+eHr1q1DQ0MDGhsbAQBTp05FcnIyGwDRHQghEBQUhOzsbGRnZ6O/vx82mw1tbW3o7u6Gw+GA2WxGaGgooqKiEB4ejuDgYE7QeyiGy01cLheOHTumehp6a2ho0BxO5GucTqdmQ0DyTlJKnDt3Tpfju/UihFBDyD09Pejp6TG4RnfndDrVO2z+jOHyFZPJhIyMDOzevRu7d+82ujpeKywsjMuqvZgQAklJSTh+/DiOHz9udHW8ltVqRWhoqNHVMJSQRp836iGklHA4HIYfv+oLzGYzV8B5KfcLiWwHIxcQEODX7YDhQkREuvPfWCUiolHDcCEiIt0xXIiISHcMFyIi0h3DxUu4j2rl+gvyZ+53SL7uMD7yDAwXL1FRUYFJkyahoqLC6KoQGaaxsRHPPfec2vWCPBfDhYiIdMdwISIi3TFciIhIdwwXIiLSHcOFiIh0x3AhIiLdMVyIiEh3DBciItIdw4WIiHTHcCEiIt0xXIiISHcMFyIi0h3DhYiIdMdwISIi3TFcvICUEu3t7XC5XGhvb+eZLuSXpJRoa2tDT08P2tra2A48HMPFg9lsNrz55ptIS0vD4sWL0draisWLFyMtLQ1vvvkmbDab0VUkGnU3t4O8vDzs2LEDeXl5bAceTkjGv0cqLS1FcXEx7HY7AGie0oQQAICQkBCUlJSgsLDQkDoSjTa2A+/FcPFApaWlKCoqgpQSLpfrrj9nMpkghMC2bdvYsMjnsB14N4aLh7HZbEhMTERvb+/XNig3k8kEq9WKpqYmREZGjn4FicYA24H345yLh1m7di3sdvuQGhQAuFwu2O12rFu3bpRrRjR22A68H3suHkRKibS0NNTX1w9rJYwQAikpKaitrVXj0ETeiu3ANzBcPEhLSwvi4uJG9PmYmBgda0Q09tgOfAOHxTxId3f3iD7f1dWlU02IjMN24BsYLh4kNDR0RJ8PCwvTqSZExmE78A0MFw8SExOD1NTUYY8XCyGQmpqK6OjoUaoZ0dhhO/ANDBcPIoTACy+8cE+fffHFFzmJST6B7cA3cELfw3B9PxHbgS9gz8XDREZGoqSkBEIImExf/3+P+83kjRs3skGRT2E78H4MFw9UWFiIbdu2wWq1QghxWzffXWa1WrF9+3YUFBQYVFOi0cN24N0YLh6qsLAQTU1NeOONN5CSkqL5s5SUFLzxxhu4fPkyGxT5NLYD78U5Fy/gPseiq6sLYWFhiI6O5qQl+R22A+/CcCEiIt1xWIyIiHTHcCEiIt0xXIiISHcMFyIi0h3DhYiIdMdwISIi3TFciIhIdwwXIiLSHcOFiIh0x3AhIiLdMVyIiEh3DBciItIdw4WIiHTHcCEiIt39H44ZBch4pz1lAAAAAElFTkSuQmCC\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model = model.prune()\n", - "model(dataset['train_input'])\n", - "model.plot()" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "id": "4942984c", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "function , r2\n", - "sin , 0.9981093780355159\n", - "gaussian , 0.9360582190339871\n", - "tanh , 0.8616859029524302\n", - "sigmoid , 0.8585390273680941\n", - "arctan , 0.8428622193038047\n" - ] - }, - { - "data": { - "text/plain": [ - "('sin',\n", - " ((x)>, (x)>),\n", - " 0.9981093780355159)" - ] - }, - "execution_count": 4, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "# sin appears at the top of the suggestion list, which is good!\n", - "model.suggest_symbolic(0,0,0)" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "id": "3f1c41a6", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "function , r2\n", - "cosh , 0.9910665391502297\n", - "x^2 , 0.9885210310683376\n", - "gaussian , 0.9883627975330689\n", - "sin , 0.9843196558672351\n", - "x^4 , 0.9403353142717915\n" - ] - }, - { - "data": { - "text/plain": [ - "('cosh',\n", - " ((x)>, (x)>),\n", - " 0.9910665391502297)" - ] - }, - "execution_count": 5, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "# x^2 appears in the suggestion list (usually not top 1), but it is fine!\n", - "model.suggest_symbolic(0,1,0)" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "id": "01ff562d", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "function , r2\n", - "sin , 0.9995702405196035\n", - "x^2 , 0.9992413667649066\n", - "cosh , 0.9990483455142343\n", - "gaussian , 0.9989441353410312\n", - "tanh , 0.9986571504172722\n" - ] - }, - { - "data": { - "text/plain": [ - "('sin',\n", - " ((x)>, (x)>),\n", - " 0.9995702405196035)" - ] - }, - "execution_count": 6, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "# exp not even appears in the list (but note how high correlation of all these functions), which is sad!\n", - "model.suggest_symbolic(1,0,0)" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "id": "232b710b", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "function , r2\n", - "sin , 0.9995702405196035\n", - "x^2 , 0.9992413667649066\n", - "cosh , 0.9990483455142343\n", - "gaussian , 0.9989441353410312\n", - "tanh , 0.9986571504172722\n", - "sigmoid , 0.998657149375774\n", - "arctan , 0.9970617106973462\n", - "x^3 , 0.9962099497478061\n", - "x^4 , 0.9947572943342223\n", - "exp , 0.9913715887470934\n", - "1/x^4 , 0.9890801101893518\n", - "1/x^3 , 0.9884748093165208\n", - "1/x^2 , 0.9874565358732027\n", - "1/x , 0.9853279073610555\n", - "1/sqrt(x) , 0.9830898307444438\n" - ] - }, - { - "data": { - "text/plain": [ - "('sin',\n", - " ((x)>, (x)>),\n", - " 0.9995702405196035)" - ] - }, - "execution_count": 7, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "# let's try suggesting more by changing topk. Exp should appear in the list\n", - "# But it's very unclear why should we prefer exp over others. All of them have quite high correlation with the learned spline.\n", - "model.suggest_symbolic(1,0,0,topk=15)" - ] - }, - { - "cell_type": "markdown", - "id": "51844d0f", - "metadata": {}, - "source": [ - "Let's train more! The loss goes down and the splines should be more exact" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "id": "324937fe", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 4.74e-03 | test loss: 4.80e-03 | reg: 2.93e+00 : 100%|██| 20/20 [00:03<00:00, 6.47it/s]\n" - ] - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.train(dataset, opt=\"LBFGS\", steps=20);\n", - "model.plot()" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "id": "fb0f6758", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "function , r2\n", - "sin , 0.999987075018884\n", - "gaussian , 0.921655835107275\n", - "tanh , 0.8631397517896181\n", - "sigmoid , 0.8594117556407576\n", - "arctan , 0.8440367634049246\n" - ] - }, - { - "data": { - "text/plain": [ - "('sin',\n", - " ((x)>, (x)>),\n", - " 0.999987075018884)" - ] - }, - "execution_count": 9, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "# sin appears at the top of the suggestion list, which is good!\n", - "model.suggest_symbolic(0,0,0)" - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "id": "9a2406e8", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "function , r2\n", - "x^2 , 0.9999996930603142\n", - "cosh , 0.9999917592117541\n", - "gaussian , 0.9999827145861027\n", - "sin , 0.9980876045759569\n", - "abs , 0.9377603078924529\n" - ] - }, - { - "data": { - "text/plain": [ - "('x^2',\n", - " ((x)>, (x)>),\n", - " 0.9999996930603142)" - ] - }, - "execution_count": 10, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "# x^2 appears at the top of the suggestion list, which is good!\n", - "# But note how competitive cosh and gaussian are. They are also locally quadratic.\n", - "model.suggest_symbolic(0,1,0)" - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "id": "26dfe636", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "function , r2\n", - "exp , 0.9999987580912774\n", - "tanh , 0.9999187437583558\n", - "cosh , 0.9999121147442106\n", - "sigmoid , 0.9998776769631791\n", - "gaussian , 0.9998535744392626\n" - ] - }, - { - "data": { - "text/plain": [ - "('exp',\n", - " ((x)>, (x)>),\n", - " 0.9999987580912774)" - ] - }, - "execution_count": 11, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "# exp appears at the top of the suggestion list, which is good!\n", - "model.suggest_symbolic(1,0,0)" - ] - }, - { - "cell_type": "markdown", - "id": "a880bac4", - "metadata": {}, - "source": [ - "The takeaway is that symbolic regression is very sensitive to noise, so if we want to extract exact symbolic formulas from trained networks, the networks need to be trained to quite high accuracy!" - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "id": "0fd2e8b6", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "fixing (0,0,0) with sin, r2=0.999987075018884\n", - "fixing (0,1,0) with x^2, r2=0.9999996930603142\n", - "fixing (1,0,0) with exp, r2=0.9999987580912774\n" - ] - } - ], - "source": [ - "# now let's replace every activation function with its top 1 symbolic suggestion. This is implmented in auto_symbolic()\n", - "model.auto_symbolic()\n", - "\n", - "# if the user wants to constrain the symbolic space, they can pass in their symbolic libarary\n", - "# lib = ['sin', 'x^2', 'exp']\n", - "# model.auto_symbolic(lib=lib)" - ] - }, - { - "cell_type": "markdown", - "id": "a3d634fe", - "metadata": {}, - "source": [ - "After retraining, we get (almost) machine precision! This is the winning signal that this formula is (very likely to be) exact!" - ] - }, - { - "cell_type": "code", - "execution_count": 13, - "id": "9fcecc80", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 2.13e-10 | test loss: 2.78e-11 | reg: 2.93e+00 : 100%|██| 20/20 [00:01<00:00, 11.85it/s]\n" - ] - }, - { - "data": { - "image/png": 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QQzDOnJFv5OVJyMyeDcyaBUyYwLChhMGeC8W3hgYrSPbsAaqrgUgEyM+XHsZXviL/nT4dME0YAJZ3duK1H/wA6Odz1xUA7xsGKh5/HMbq1RJg1dXA4cPy9d578jOzsiRkdOBMmQIkJcX0r0/kFvZcKL7U1Vlhsns3UFMj1ydMkBBZsgQoKwMmT+61FxEIBDB+/Hi0tbX1azmyaZpIS0tDbW0tsrOzr/0FbW3AsWNW2Bw7BnR2AmlpwIwZVthMmwakpAz8707kIQwX8i+lgFOnrF7J7t0SLgBQUmIPk8LCG/qj9Q79622kNE0ThmFgy5YtWLFiRf/+8K4u4MQJ4MgRCZsjRySAUlKkB6WH0WbMkAAi8iGGC/lHOAwcPWrvmTQ0AKYpH8hlZRImpaVAbu6gf1z32mLRt4oRVVts48aN/Q+WnkQiwKefWj2bI0eApib5e02dag2lzZoFZGYO6u9ENFQYLuRdXV3AoUNWz2TPHqClBUhNBebPt3omCxcCGRkxaUIgEMC6devw9NNPo0YPsQEoLi7G6tWr8cgjj2DkyJHO/lClpAemw+bwYeDSJfnepElW0MyeDXDZM3kUw4W8IxgEPvrI6pXs3w90dAAjRgCLFllhMm8eMGzYkDYt+jyXzMxM5ObmftF7GRL19dYw2uHDQG2tXC8osIdNYSFXpJEnMFzIPU1NwN691jDXxx8DoRCQkyNDXHqYa+ZMIJkLG20CAfuczalT0uPJzbWvSJs0iWFDrmC40NCpr7cvCz56VD4QCwrsk+9Tp8p8A/Vfa6ssf9aBc+KEBHVGhoSNDpziYgY1DQmGC8WGUsBnn9kn30+flu9NmWIFyZIlwPjxfLp2WkcHcPy4NYz2ySdybdgw+/Ln6dNlDovIYQwXckYkApw8aV8WfOGChMZNN1k9k9JSKYtCQysUkj0/0fM2ra3SiykpseZtZs6UOS6iQWK40MCEQjIMo3sle/cCV67Ih9XcuVavZPFiwOnVVDR4SgFnzthXpF25Ig8DRUX25c89bQwlug6GC/VPR4cUeNS9kg8/lCffYcNkJZcOkwULgPTuBenJ85QCzp+377W5cEG+N368vUYae57UDwwX6llLiwSI7pkcOCD7TjIzZWhLz5nMncuSJfHq8mUJGT2Upgty5udbYTN7NjBuHOfM6BoMFxKNjdZGxd275QMlEpFNetEruW66icUWE1Vzs33588mT8h4ZOfLagpxc7ZfwGC6J6tw5+7LgEyfk+rhx9jApKuJTKfWsrU1WoemwOXZMerfp6bIwQAdOSQl7twmI4ZIIlJLaVdHLgvUO76lTrfmSsjIJF6KB6OyUh5To5c9tbbLUWRfk1MufWZAz7jFc4lE4LE+R0cuCL1+WoYqZM60gKStjbSqKnXDYXpDz8GEZWtMFOXXYzJzJgpxxiOESD3SBRx0ke/fKTZySInW49DDX4sUxK/BIdF16Y230XpvLl+V7kyfb520cqGpN7mK4+FFb27UFHtvbZaw7elnw/PnA8OFut5aoZ0pJSaDons25c/K9wkJ7Qc6CAs79+QzDxS+qqoBduyRMDh2STYwjR9oLPM6ezbpR5G9Xrth7NqdPWwU5da/m5ps5nOsDDBe/qK+XZZ+pqbJxMTVVgoRPcxTPQiHZc9XcLF+trbL6jFUDPI/h4heRiAQJw4QSWTgs9wD30Xgew4WIiBzH+CciIsdx9vdz4XAYNfv3o6u52e2m+N7YOXOQk5/vdjNoAMLhMGqPHkU4GHS7Kb6XN3UqsnJy3G6Gaxgun+vq6kLtk0+is70dSdwLMiBKKaR++inwn/+JnC99ye3m0ACEQiHU//d/o6uzEyZ30Q9YSl0d8MMfIuvmm91uimsYLppSCJkmJjz5JEri/Q0RDsu+GNOUfTAOLRLoCoWwY9UqcBrPx5RC2DRR8Pd/jwlz58p7JRCQLxak7FlXl6xq+/xeCoVCOPjEE0j0u4Dh0k1yUhJShw1zuxnOUwq4dAl45RXgrbfk7I7UVCm9UVEB3HKLvB5M0HA1W9wwTRMpVVXA1q1San/4cOA//oNLgLtTSipjvPCClLSZMwdYvBgG7wOGS0KIRIDt24Gf/EQKC0b3LE6eBN54A7j/fuCxx+SsDt4YZBhAXR1w8KC8Tk6WYqcMl2sdOiRlbT77DNixA5g40e0WeQL7uPEuEgG2bAG++13g+HF7sGidncCGDcD3vic9Gg5rESClV/QwmD7Wmu8Nu44OKRKr5eVJ6RpiuMQ1paTH8i//ImPmWlaWlIu56SZ7uZhdu6T30tTEDxGSYpJZWdZrfYAcWS5dsuqhATI0xmO+ATBc4pdSMozx5JNyyqQ2fz7wu98BL74ovZUnnrB/gGzdCvzXf8lELiW2nBxgwgTr9enTwNWrrjXHc5QCamqA6GXbs2ZxWPlzDJd41dkpE7AnT1rX5s8HfvEL69z7zExg1Srgpz8FRoyQX6OUTE5u28beS6JLTgZmzLBeBwLA2bOuNceTPv7Yuk+GDZOD0AgAwyU+KQW8+y7w+uvWtYIC4Kmn5KTJ6Ccr05TJ/O98xxpfb2uTYLpyZWjbTd5iGFKFOClJXodCMjTGhw7R3m6fbxk9mvMtURgu8SgQAJ55RnovgDyBfv/7vXfZk5OBb38bWLrUunbkCPDyy/wgSXSTJsnRDtqRIxIyBFy8CFy4YL2eNo3HN0dhuMQbpYA//UlW9mi33w48+GDfY8EZGcCPfmTNvygFrFsnyysZMIkrO1sm9rUzZ+yLQxKVUtJraW+X14Yhe1w43/IFhku8uXxZ5kz0qp6MDFlifL0TKQ1D5mT+6q+sa+fOAS+9xHBJZElJMjSmNTUBn37qXnu8Qin7fMvw4dJzYbh8geEST5QCXnsNOHXKuvblLwMLFvTvTW+awDe/KRsptQ0bZDMdJSbDkOFUvWQ9EpFNg4n+wNHaKvvGtLFjgTFj3GuPBzFc4klTk32eJCtLwkJPyF6PYcgQSEWFde3iRRlmS/QPk0Q2YYL9WOHqams+L1HV1ckeF23GDFktRl9guMQLvULsxAnr2t13y5v+Rrrqpgn89V9bHyZKARs3Ag0NzraX/CMjQzYHarW19g/WRKOULGzQAWsYsryfbBgu8aKjA1i/3tr8mJYGfP3r/e+1RJs8GbjnHuv16dPAO++w95KoTNP+4RkM9l5KKBGEwzI0qGVmSvhyvsWG4RIPlJI3+/791rXSUvlAGMgbXvde9MbKSAT44x8lwCjxGIZUz9aLQpQCDhxI3HAJBOzzmpMnA7m5brXGsxgu8UAPXellkUlJEg4DHQM2DBlOW7LEunbwoH11DCWWwkKZtNaOHZNJ7USjS75EL8eeM8deo48AMFziw4ULMt+iTZkC3Hbb4LrpqanAV79qDau1t3NiP5ENHy69F62+XvZAJaKDB62l/ikpAx8hiHMMF79TCqiqklVd2sqVgz93wzCAW2+VoNKqquRDhRLTvHlWiaDOTuDw4cR72OjokMl8LS+P57f0guHidx0dwKZN9uXH997rzJNUdrZ9Yv/8eeC99xLvA4Xk/TR1qr2C9oEDiVcK5vx5WS2nTZ9uzU2SDcPFz5SSVTvRK1cWLQKKi5358w1DNmFmZMjrSESKYXZ1OfPnk7/k5gJFRdbr06cTa4m6XoIcXfJlwQKrN0c2/FfxuzfftCZWdYXjlBTn/vxp02Q4RNu/n+U/ElVSkpQI0q5elYn9ROnJRiLSW9PS0+XAPc639Ijh4mctLcBbb1mvCwoGP5HfXWqqzOHoP/PqVe55SVR6s6BehaiUPGwkynshELCXfJk0ScrsU48YLn6l97bU1FjXbr3VXhfMCYYBLFtmL/9RWWkNDVBiGTfOviS5ujoxliQrJdUvos84mj/f2VGCOMNw8Sul5EM++syWe++Nzfjv2LH2PS9Hj8pXojyxkiUtTfZ1aPX1MveSCO+F/fvtS5DnzeOQWB8YLn7V1CQrt7SJE4GFC2PzZk9Kkon96JMq337b+Z9D/rBggf10yujKEPEqGJRNxNqYMTIsRr1iuPiRUsBHH9k3sS1bZj8x0EmGIT2XggLr2rvvJsZwCNkZBlBSYi93cuBA/JcGOnPGfurk7NlcgnwdDBc/0kNieklwaiqwYkVsu+h5ecDNN1uvT54EPvkkdj+PvCsrS1ZJaWfPysFy8Uo/zOkhaNOUJf8cEusTw8WPAgFgxw7r9aRJsT9i1TSB8nJrOKSjQ4bGEmGsnexME1i82Hq/tbdLSZR4fS90dtqH/nJyeOpkPzBc/EY/RUWfDnnHHfad07FgGPK0VlhoXdu2jUNjiUifTpmZaV3bty9+d+ufOyfDYtpNN0nAUJ8YLn6jlPQY9I2cmiqHgg2F7kNjNTVcNZao8vLsB4jV1MRn3Tl9vEBbm7w2DKCsjLvy+4H/Qn7T1HTtkNisWUPTRTcM4Etfsg+NVVXF/ueS9yQny5lBWkuL7LuKtweNUAjYu9d6nZk5dPebzzFc/EQpqUQbXTjvtttiPySmGYYsd45eNbZ1qyzTpMRiGLKJUK+YUgrYs8c6CTVeXLhg36hcUuL8RuU4xXDxm3fesVaJpaQAy5cP7c/Py5NhAe3kSdm5TImnoMBeyPLYMeDSJffa4zSlZKGCnlfUQ2IDOTo8ATFc/KS5GfjgA+v1uHFDf1CRacocT/SGyq1b4284hK4vJcU+NHb1anydVhoKAbt3W3+fESO4K/8GMFz85JNPpNSGtnRp7DZO9sYwZBlq9NDAtm3xv4mOrqWHSdPT5bVSwK5d8TM0dvGivVBlSYl9SJj6xHDpi1LWl9v0iZPRtcTuvtudp6j8fFmWrB07Bpw6NfTtIPeNG2cfGjt6ND6GxnTF5+ghsSVL5L6jfmG49EQpWZW1axfw2mveCJdg0F5LrKBAJlTdCJekJOAv/sL62S0twPvvD307yH0pKfY5uKtXZR+WF+6ZwQiF5P7Xf4+MDKmpxiGxfmO4dKcU8OyzwAMPAN/4BvDzn7t/2p4+cfLkSetaWZm9vtNQ0k9x0T8/uldFiUMPk0avGtuxw/8bKuvq7Pfb9OlSrJL6jeHSnWFIeZWaGvmwPH9eNlG5/SS2dat1hkr3SXU3FBbaTyU8fFhqTFHiGTtWyqFox4/LfeNXell19JDYzTdzSOwGMVx6sny57HwH5AnM7ZMX29slXLT8fHttJzckJ1tDYxkZUhJD72KmxJKcDNxyi/V+bG2VD2e3H8gGqqMD2LnTej1yZOyOs4hjDJeezJhhP6th504ZS3ZLTY191cqiRe5v5DIM4K67gH/9V+BPfwL+7//sh0hR4jAMmY+IXrm4c6c/VxAqJYtToldlzpkj+7vohjBcepKVJTvftdpa99bvKyUT+bqL7oUhMW3sWGDVKhmPHj7c7daQm0aPlrIo2qlT8uW33otSwPbt9vL6t97qjfvNZ/gv1pvly63zsbu65HAsN3Sv35WbK5PpXuiiG4Y32kHuM03g9tutD+HOTtnw67dwaW6WIT1tzJjYH2cRpxguPTEM2fk+bpx17YMP5I031M6etR/KNX8+N3KR9+h7JnpF1e7d7g4n3yilpPhm9ImTpaVDV7svzjBcejNypOyA1z79dOhPXlRK9o/oG9QwZEiMq1bIizIz7Xte6uu9sdKyv8JhqTYRicjr1FTpjbHXMiAMl97oD3JdpK6zU4anhvJG6T4cpwOPb3byIsMAli0Dhg2T15GIrHL0y56Xc+dkblUrLpbqA7zfBoTh0htdUtzNkxc/+0y66Vr3oToiLzEMYMoU+56XI0fkfez13otSMvTd0iKvuwcl3TCGS19GjZLJc20oT17Ub/buQ2J6kQGRF6WmAnfeaT3tB4PyUOZ13UsY5eTIxkn2WgaM4dKX7icvtrcP3cmLXV1ynLEOMr08mm928jJdDiZ6X8j27VL1wqv0UcZ1dda10lJ5uKQBY7j0xTBkw2L0CpiqqqEZGqutlYOKtDlzgAkTYv9ziQYrN9e+GObCBW/v2A+FgLfeso4KSE2VrQjc2zIo/Ne7nrw86R5rJ0/KqrFY3ih6lVhTk7zWQ2K6JA2RlxmGfDinpclrpaQX7sUd+0rJPX3kiHVt+nQ5u4WjBIPCcLke0wTKy+1DY++8E9uf2dkJvPmmfUhs2TK+2ckfDAOYPNleDujECfkA91rvJRKRXkv3orB8kBs0hsv16KGx6FVjVVWx3VB55ox9SGz+fGDixNj9PCKnJSfLQ5nek9XVBbzxhreWJSsl1Zt37bKujR0r8y18kBs0hkt/5OVJ1VetpiZ2tcaUkr0B0avEVqzgKjHyF71jP/qUyo8+8la9MaVkFCJ6+Hn5cu7IdwjDpT8MA7jnHusprLMTqKyMzU3S0SFPeFpODofEyJ/S0uTBSL9329qALVusHfBuu3zZvvozJ8e+jJoGheHSH3poLHpoqqoKuHLF2Z+jlOyjqa62rpWWcuMk+ZNhSI9//Hjr2q5dMuzrdu9FKal+cfmyde2OO9w/yiKOMFz6a+RIearRamtjs7zyjTdk4xkgk4v33mstJiDym6wse++lpQXYvNn93ktDg33RzMiR0k4uP3YM/yX7yzCAlSutchDhMPDaa9baeCc0NcnKFa2w0H7CH5HfGIY8lEVX8v7gAykE61bvJRKRYKmvt67dfjtHCBzGcOkvwwBmzpTjfLWdO6UH4wSlgH377CfgLVvGbjr5X04O8OUv23svr77q7INZfykFXLx47VL/e+9lr8Vh/Ne8Eenp0nvRGhvtb9LBCIeBV16RJZuArLO//372Wsj/9Cqs6J7Bjh1DV6cvWiQCvP46cOmSde2uu2ReiPeaoxguN0IvC87JkddKAZs2OVMO5uxZGS7Qpk+X/S18w1M8yM6WhyXdO2hvB9avH9pd+0rJUujoTdC5ucB997HXEgP8F71REyfKmdra0aPAhx8O7glMKVmi2dgorw1DbsQRIwbXViKvMAxZjTV1qnXt4EHpwQxV76WrSwJNb4A2DBmuKyjgQ1wMMFxuVFISUFFhbWrs7AT+8IfBjR83NcmQmDZqlH2MmigeZGQAX/2qde+EQsDvfy8rt2IdMErJMug9e6xrEybIfcZeS0zwX/VGGYYc5Ro9sb9tmxS/G8gNohTw3nuy619bvty+N4AoHhiG7NsqLbWu1dYCf/xjbJcmKyUB9rvfWeVnkpOBhx+W4TqKCYbLQGRkSO9F9yyamqS7PZBwaW8HXnzR6vkMHw489BCfpig+paQAX/ua/UP9rbeA/ftj13sJhYCXX7av7Fy0iMv8Y4yfYANhGLJ0MXr1y6ZNcpzrjdBd9X37rGtlZcC8eXzTU3zSFZMfeMB6j7e3A889Jyu4nA4YpWReJ3oSPzsb+Nu/ZeXjGGO4DNTo0XKDaPX18nR0I937jg7gN7+ReRtAnur+5m94bjfFN115Irok/9mzwG9/6+zqMaWk1Mxvf2vdY6YpIwOTJ/MBLsYYLgNlmjJmO3q0dW39+v7vPNYHgu3YYV2bN49FKikxpKcD3/qWtawfkKX4r7zizOZKpeRo5V/8wr4Tv7RUjgLgsHPM8V94MCZOlLkX7dIl4Fe/6t/N0dwMPPusvdfyrW/JTUcU7wwDKC4GvvENa/VYOCwrL6uqBjfBr5RUYP6f/7EXgS0sBL79bZnXpJhjuAyGacrYbfTcy6uvSlmYvnovkYgswfzoI+taWZmsEmOvhRKFacp7/p577PMvv/oVsH37wAJGB8uvfy0jA/o+HDEC+Id/kMPAeI8NCYbLYI0fLz0O3c1ubQX+7d+klHdPAaMUcPgw8MtfWj2c9HTgu9+1zhwnShTJyfKAVlZmXWtpAZ55Bnj7bVnp1d9JfqXkkL1nn7WXZUpNBVatAhYsYLAMIYbLYBmGzL0sXGhdO3wY+Pd/l6ew6BtDKRn/ffJJe22jBx8ElizhG58Sj2FIr+If/xGYNcu63toqIfHCCxI21wuYSETmO3/2MxlW078+OVkm8O+5h0dXDDGGixOysoDHHrPW7isFbNgA/Pzn1o2hz+v+8Y+lXIw2bRqwerV1yiVRojEMqUrxox8Bs2db1zs75T564glZst/Wdu3DWiQiowTr1wOPP24/fjw5WSoCPPQQg8UF/ERzgj6p8p/+CXjqKalhFArJEsjqalmy3NoKvPSS7OTXsrOlF8PaRpToDEOOl/jxj6XHsmuX9VB2/LgMNU+cKCsqJ0+W5fqBgNT2+/hjqcsXHTzp6bKsf+VKa8EADSmGi1P05P65c7J3JRSSp6pdu+SruxEjgH/+ZymCyWAhkvsgNxf44Q+lJMymTdJbAeR+OnVKvvSv7W2obPx4WRW2aBF7LC5iuDhp2DDp2g8fLite2tt7/nWjRkmwPPgg19sTRTMMq9cxf7709qurrZpgWk/BkpEhZ7NUVAB5eXxocxnDxWlpacD3vy83xi9/KZP77e3yRs/IkHpG3/uejC0zWIh6lpQkO/inTQMOHZJJ+upqqeMXHTTDhsmw8uLFEiwTJsh9xWBxHcMlFlJSgLvvBm67Tbrxn30mk4tFRfLmT07mm5/oegxDRgFKS2WIq7lZVls2Nsq8Znq6zNPk51sbI3lfeQbDJYoZiaB2/3506XFepyQlSTe+psZeWj/OhEMhhAMB8Pb2NzMSQf3Rowj3NqzrBSkpEjDnzsmXh4TDYYSbmxP+PmC4fM4wDKhp04CqKpyvqnK7Ob6VmpmJlJEj3W4GDZBpmlCTJsHYuxeX9+51uzm+lZKejqSMDLeb4SpDqaE6Y9TblFIIhULgP8fgJScnw+R8ki8ppRAOh3kfOCApKSmh7wOGCxEROS5xY5WIiGKG4UJERI5juBARkeMYLkRE5DiGi19EIlIldjAn9BH5XTgsRWCdOAqZYorh4hfV1cDUqfZjW4kSzenTcn7S6dNut4Sug+FCRESOY7gQEZHjGC5EROQ4hgsRETmO4UJERI5juBARkeMYLkRE5DiGCxEROY7hQkREjmO4EBGR4xguRETkOIYLERE5juFCRESOY7gQEZHjGC4+oJTClStXEAqHceXKFSil3G4S0ZBTSqGxsRHBtjY0NjbyPvA4houHBQIBrF27FiUlJbh92TKcO3cOty9bhpKSEqxduxaBQMDtJhLFXPR9UFpWhqqqKpSWlfE+8DhDMf49qbKyEhUVFQgGgwCAmUphC4B7AVQbBgAgPT0dGzZsQHl5uXsNJYqh7vfBFKXwNIDVAD7lfeBp7Ll4UGVlJVauXIm2tjYopa7p/utrbW1tWLlyJSorK11qKVHs8D7wN/ZcPCYQCGD8+PFoa2tDJBL54vos4Iuey5GoX2+aJtLS0lBbW4vs7OyhbSxRjPR2HxQBX/RcTkX9et4H3sOei8c8//zzCAaDthuqL5FIBMFgEOvWrYtxy4iGDu8D/2O4eIhSCs8888yAfu/TTz/N1TMUF3gfxAeGi4c0NDSgpqbmhm8OpRRqamrQ2NgYo5YRDR3eB/GB4eIhLS0tg/r9zc3NDrWEyD28D+IDw8VDMjIyev1eDWQyv6aP35+Zmel0k4iGXF/3QS1kMr+2j9/P+8AbGC4eMmrUKBQXF8P4fP1+tHbIKrH2Hn6fYRgoLi5Gbm5urJtIFHN93QedkFVinT38Pt4H3sJw8RDDMPDoo48O6PeuXr26x5uRyG94H8QH7nPxmN7W9/eG6/spHvE+8D/2XDwmOzsbGzZsgGEYMM2+/+8xTROGYWDjxo28oSiu8D7wP4aLB5WXl2Pz5s1IS0uDYRjXdPP1tbS0NGzZsgUrVqxwqaVEscP7wN8YLh5VXl6O2tparFmzBkVFRbbvFRUVYc2aNairq+MNRXGN94F/cc7FB/Q5Fs3NzcjMzERubi4nLSnh8D7wF4YLERE5jsNiRETkOIYLERE5juFCRESOY7gQEZHjGC5EROQ4hgsRETmO4UJERI5juBARkeMYLkRE5DiGCxEROY7hQkREjmO4EBGR4xguRETkOIYLERE57v8Blv6jMrwdkEQAAAAASUVORK5CYII=\n", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.train(dataset, opt=\"LBFGS\", steps=20);\n", - "model.plot()" - ] - }, - { - "cell_type": "code", - "execution_count": 14, - "id": "4eb022df", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle 1.0 e^{1.0 x_{2}^{2} + 1.0 \\sin{\\left(3.14 x_{1} \\right)}}$" - ], - "text/plain": [ - "1.0*exp(1.0*x_2**2 + 1.0*sin(3.14*x_1))" - ] - }, - "execution_count": 14, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "# obtaining symbolic formula\n", - "formula, variables = model.symbolic_formula()\n", - "formula[0]" - ] - }, - { - "cell_type": "code", - "execution_count": 15, - "id": "a8e794ba", - "metadata": { - "code_folding": [] - }, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle 1.0 e^{1.0 y^{2} + 1.0 \\sin{\\left(3.14 \\alpha \\right)}}$" - ], - "text/plain": [ - "1.0*exp(1.0*y**2 + 1.0*sin(3.14*\\alpha))" - ] - }, - "execution_count": 15, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "# if you want to rename your variables, you could use the \"var\" argument\n", - "formula, variables = model.symbolic_formula(var=['\\\\alpha','y'])\n", - "formula[0]" - ] - }, - { - "cell_type": "code", - "execution_count": 16, - "id": "a1349079", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle 3.14013671875 e^{1.0 y^{2} + 1.0 \\sin{\\left(3.14 \\alpha \\right)}} \\cos{\\left(3.14 \\alpha \\right)}$" - ], - "text/plain": [ - "3.14013671875*exp(1.0*y**2 + 1.0*sin(3.14*\\alpha))*cos(3.14*\\alpha)" - ] - }, - "execution_count": 16, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "# one can even postprocess the formula (e.g., taking derivatives)\n", - "from sympy import *\n", - "diff(formula[0], variables[0])" - ] - }, - { - "cell_type": "markdown", - "id": "4474d38d", - "metadata": {}, - "source": [ - "When do we know the formula we guessed is wrong (not exact)? If the data is clean (no noise), we should see the training loss does not reach machine precision" - ] - }, - { - "cell_type": "code", - "execution_count": 17, - "id": "22529272", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "r2 is 0.999993562134913\n" - ] - }, - { - "data": { - "text/plain": [ - "tensor(1.0000)" - ] - }, - "execution_count": 17, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "# let's replace (0,1,0) with cosh\n", - "model.fix_symbolic(0,1,0,'cosh')" - ] - }, - { - "cell_type": "code", - "execution_count": 18, - "id": "404dbd96", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 1.26e-03 | test loss: 1.28e-03 | reg: 2.93e+00 : 100%|██| 20/20 [00:03<00:00, 6.54it/s]\n" - ] - }, - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "# this loss is stuck at around 1e-3 RMSE, which is good, but not machine precision.\n", - "model.train(dataset, opt=\"LBFGS\", steps=20);\n", - "model.plot()" - ] - }, - { - "cell_type": "markdown", - "id": "2318c655", - "metadata": {}, - "source": [ - "## Part II: How hard (ill-defined) is symbolic regression, really?\n", - "\n", - "In part I, we show how people can use KANs for symbolic regression, but caveat that we need to train KANs to quite high precision. This is not a problem specific to KANs though; this issue originates from symbolic regression. The space of symbolic formulas is actually quite dense, so tiny noise can make one symbolic formula transit to another. " - ] - }, - { - "cell_type": "markdown", - "id": "a4d76348", - "metadata": {}, - "source": [ - "### 1D example: Adding noise to a bounded region sine" - ] - }, - { - "cell_type": "code", - "execution_count": 19, - "id": "73dd7978", - "metadata": {}, - "outputs": [], - "source": [ - "def toy(bound=1., noise=0., fun=lambda x: torch.sin(torch.pi*x)):\n", - "\n", - " num_pts = 101\n", - " x = torch.linspace(-bound,bound,steps=num_pts)\n", - " x = x[:,None]\n", - " y = fun(x) + torch.normal(0,1,size=(num_pts,)) * noise\n", - " dataset = {}\n", - " dataset['train_input'] = dataset['test_input'] = x\n", - " dataset['train_label'] = dataset['test_label'] = y\n", - " model = KAN(width=[1,1], grid=5, k=3, seed=0, grid_range=(-bound,bound))\n", - " model.train(dataset, opt=\"LBFGS\", steps=20)\n", - " model.suggest_symbolic(0,0,0)\n", - " model.plot()" - ] - }, - { - "cell_type": "code", - "execution_count": 20, - "id": "2e129909", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 2.79e-03 | test loss: 2.79e-03 | reg: 3.12e-01 : 100%|██| 20/20 [00:01<00:00, 13.38it/s]\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "function , r2\n", - "sin , 0.9999842278946689\n", - "gaussian , 0.9184406012010798\n", - "tanh , 0.8635381099424172\n", - "sigmoid , 0.8601324746874981\n", - "arctan , 0.845004037750832\n" - ] - }, - { - "data": { - "image/png": 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tbe5r69evVzgcpmsBkkC44JGQ2Mxycveye/duXb9+fdr3jYyMaNeuXYrH45Im5lq2b9/ubooJYG4IFzwyCgsL9fLLL7vB0N/fr7/+9a/uHmH3chxHLS0tU7Z6+fa3v61QKETXAiSJcMEjI3HGfW1trfva/v371dHR8YXhMWutTp8+rT/96U/ubsrLly9XU1MTXQvgAcIFj5S8vDz96Ec/0qJFiyRNDHv99re/1fnz592AcRxHZ8+e1a9+9SsNDQ2573v11VcVDAbTVjvwKMlOdwGAl4wxCofD+v73v6833nhD4+Pjunbtmn7+859r+/btqqqq0pkzZ/TOO++4m1MGAgG9/PLLWrduHcNhgEcIFzxyAoGAtm7dqv7+fr333nuy1urGjRv63e9+p6ysrClzMMYYPf/88/rOd77DcBjgIcIFj6ScnBy9+uqrysrK0t/+9jeNjY1J0pRgyc3N1bZt2/SDH/zA3T4GgDcIFzySjDHKy8vTa6+9ptWrV2vv3r2KRqMaGxtTXl6eqqqq9NJLL2nNmjV0LEAKEC7whbluo5+dna2NGzdq3bp1unHjhoaHh7Vw4UKVlJQoOzs7qc8G8GCECzJaZ2enmpubmWh/iP7+fi1evDjdZQAuY/mzDRmqt7d3ygJHTK+8vFxr1qwhiJERCBcAgOdYRAkA8BzhAgDwHOECAPAc4QIA8BzhAsyQ4ziKx+PuLsoAHoxwAWYoGo1q27Ztikaj6S4FyHiECwDAc4QLAMBzhAsAwHOECwDAc4QLAMBzhAsAwHOECwDAc4QLAMBzhAsAwHOECwDAc4QLAMBzhAsAwHOECzAD1lrduHFDw8PDunHjhjgdHJge4QJMIxaLqbm5WeFwWJFIREePHlUkElE4HFZzc7NisVi6SwQykrH8CQbcV2trq5qamhSPxyVpSrdijJEkFRQUaM+ePWpsbExLjUCmIlyA+2htbdWWLVtkrZ32cLBAICBjjFpaWggYYBLCBbhHLBbT0qVLNTw8PKNTJwOBgPLz89XX16fi4uLUFwj4AHMuwD127do1q+OME8cfv/XWWymuDPAPOhdgEmutwuGwuru7Z/VEmDFGoVBIFy5ccOdjgC8zwgWY5LPPPlNZWVlS7w8Ggx5WBPgTw2LAJENDQ0m9f3Bw0KNKAH8jXIBJCgsLk3p/UVGRR5UA/ka4AJMEg0FVVlbOet7EGKPKykqVlpamqDLAXwgXYBJjjHbs2DGn977++utM5gP/x4Q+cA/WuQDJo3MB7lFcXKw9e/bIGKNAYPqvSGKF/ttvv02wAJMQLsB9NDY2qqWlRfn5+TLGfGG4K/Fafn6+9u3bp82bN6epUiAzES7AAzQ2Nqqvr087d+5UKBSa8s9CoZB27typ/v5+ggW4D+ZcgBlInOcyODiooqIilZaWMnkPTINwAQB4jmExAIDnCBcAgOcIFwCA5wgXAIDnCBcAgOcIFwCA5wgXAIDnCBcAgOcIFwCA5wgXAIDnCBcAgOcIFwCA5wgXAIDn/gdc4Jzuj6QEnQAAAABJRU5ErkJggg==\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "# when the function is whole range \"bound=1.\"\" (captures a whole period of sine) and has zero noise \"noise=0.\"\n", - "# it is quite clear the function is clear\n", - "toy()" - ] - }, - { - "cell_type": "code", - "execution_count": 21, - "id": "b260de36", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 9.30e-01 | test loss: 9.30e-01 | reg: 3.12e-01 : 100%|██| 20/20 [00:00<00:00, 40.68it/s]\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "function , r2\n", - "sin , 0.9999842278898873\n", - "gaussian , 0.9184406080128915\n", - "tanh , 0.8635381682633535\n", - "sigmoid , 0.8601325311561702\n", - "arctan , 0.8450040982073312\n" - ] - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "# even with large noise, sine can be revealed, yeah!\n", - "toy(noise=1.)" - ] - }, - { - "cell_type": "code", - "execution_count": 22, - "id": "b429397b", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 9.30e-02 | test loss: 9.30e-02 | reg: 7.15e-01 : 100%|██| 20/20 [00:00<00:00, 43.08it/s]\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "function , r2\n", - "sin , 0.9999916591202906\n", - "arctan , 0.9999847147948822\n", - "tanh , 0.999984517365484\n", - "x , 0.9999796669306419\n", - "abs , 0.9999796669306419\n" - ] - }, - { - "data": { - "image/png": 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- "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "# but when bound is small and there is noise, it starts to screw up (at least becomes less clear why we should prefer sine)\n", - "toy(bound = 0.1, noise=0.1)" - ] - }, - { - "cell_type": "markdown", - "id": "c2ec089e", - "metadata": {}, - "source": [ - "### Phase diagram of symbolic regression (how fratcal/chaotic is my phase diagram?)" - ] - }, - { - "cell_type": "markdown", - "id": "29f51b09", - "metadata": {}, - "source": [ - "#### mix three functions $f_1(x)={\\rm sin}(x)$, $f_2(x)=x^2$, and $f_3(x)={\\rm exp}(x)$ such that $f(x)=af_1(x)+bf_2(x)+(1-a-b)f_3(x)$. Symbolically regress $f(x)$." - ] - }, - { - "cell_type": "code", - "execution_count": 23, - "id": "b76dfc4a", - "metadata": { - "code_folding": [] - }, - "outputs": [], - "source": [ - "def mix(a, b, bound=1):\n", - " num_pts = 101\n", - " x = torch.linspace(-bound,bound,steps=num_pts)\n", - " x = x[:,None]\n", - " y = a * torch.sin(x) + b * x**2 + (1-a-b) * torch.exp(x)\n", - " dataset = {}\n", - " dataset['train_input'] = dataset['test_input'] = x\n", - " dataset['train_label'] = dataset['test_label'] = y\n", - " model = KAN(width=[1,1], grid=10, k=3, seed=0, grid_range=(-bound,bound))\n", - " model.train(dataset, opt=\"LBFGS\", steps=20)\n", - " return model.suggest_symbolic(0,0,0)[0]\n", - " " - ] - }, - { - "cell_type": "code", - "execution_count": 24, - "id": "372aabd8", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 2.40e-06 | test loss: 2.40e-06 | reg: 2.64e-01 : 100%|██| 20/20 [00:00<00:00, 29.47it/s]\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "function , r2\n", - "cosh , 0.999997477547859\n", - "exp , 0.9999670134850122\n", - "sigmoid , 0.9999606621996252\n", - "tanh , 0.9999524925435431\n", - "1/x^4 , 0.9999517925552405\n" - ] - }, - { - "data": { - "text/plain": [ - "'cosh'" - ] - }, - "execution_count": 24, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "mix(a=0.2, b=0.0)" - ] - }, - { - "cell_type": "code", - "execution_count": 25, - "id": "9166ca69", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 2.77e-06 | test loss: 2.77e-06 | reg: 2.72e-01 : 100%|██| 20/20 [00:00<00:00, 43.39it/s]\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "function , r2\n", - "exp , 0.9999999999827021\n", - "cosh , 0.9999999999827017\n", - "tanh , 0.999973163748351\n", - "sigmoid , 0.9999497922899572\n", - "1/x^4 , 0.9999369992759012\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 2.52e-06 | test loss: 2.52e-06 | reg: 2.45e-01 : 100%|██| 20/20 [00:01<00:00, 17.30it/s]\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "function , r2\n", - "cosh , 0.9999988787247418\n", - "x^4 , 0.9999910879853997\n", - "gaussian , 0.999967486241568\n", - "tanh , 0.9999518786252838\n", - "sigmoid , 0.999948450438625\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 2.28e-06 | test loss: 2.28e-06 | reg: 2.18e-01 : 100%|██| 20/20 [00:00<00:00, 43.13it/s]\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "function , r2\n", - "cosh , 0.9999946575638085\n", - "x^3 , 0.9999164116905525\n", - "gaussian , 0.9997468080512466\n", - "x^4 , 0.9996076211798797\n", - "tanh , 0.9995835694860234\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 2.04e-06 | test loss: 2.04e-06 | reg: 1.94e-01 : 100%|██| 20/20 [00:00<00:00, 39.90it/s]\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "function , r2\n", - "cosh , 0.9999854846669585\n", - "x^3 , 0.9988138920172807\n", - "gaussian , 0.9985227715662934\n", - "x^2 , 0.998477650070286\n", - "sin , 0.9981948138629363\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 1.80e-06 | test loss: 1.80e-06 | reg: 1.71e-01 : 100%|██| 20/20 [00:00<00:00, 39.65it/s]\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "function , r2\n", - "cosh , 0.9999662581221136\n", - "x^2 , 0.9986097449347123\n", - "sin , 0.998284128651733\n", - "x^3 , 0.9936582971043266\n", - "gaussian , 0.9936463187510403\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 1.55e-06 | test loss: 1.55e-06 | reg: 1.51e-01 : 100%|██| 20/20 [00:00<00:00, 44.84it/s]\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "function , r2\n", - "cosh , 0.9999418178114038\n", - "x^2 , 0.9987944480619438\n", - "sin , 0.9984323316332249\n", - "gaussian , 0.9949686832586251\n", - "tanh , 0.9764364382302457\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 1.31e-06 | test loss: 1.31e-06 | reg: 1.36e-01 : 100%|██| 20/20 [00:00<00:00, 39.78it/s]\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "function , r2\n", - "cosh , 0.9999041816268858\n", - "x^2 , 0.9990436001283093\n", - "sin , 0.9986633245000535\n", - "gaussian , 0.9958810456319825\n", - "tanh , 0.9380270364085883\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 1.07e-06 | test loss: 1.07e-06 | reg: 1.29e-01 : 100%|██| 20/20 [00:00<00:00, 40.74it/s]\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "function , r2\n", - "cosh , 0.9998655818685623\n", - "x^2 , 0.9993505000566273\n", - "sin , 0.9989811585960545\n", - "gaussian , 0.9916259900602326\n", - "x^4 , 0.9172564495092251\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 8.32e-07 | test loss: 8.32e-07 | reg: 1.27e-01 : 100%|██| 20/20 [00:00<00:00, 44.57it/s]\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "function , r2\n", - "x^2 , 0.9996700824962792\n", - "sin , 0.9993888581205067\n", - "cosh , 0.998561267814873\n", - "gaussian , 0.9707186857583728\n", - "abs , 0.9254006963892939\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 6.00e-07 | test loss: 6.00e-07 | reg: 1.30e-01 : 100%|██| 20/20 [00:00<00:00, 44.38it/s]\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "function , r2\n", - "x^2 , 0.9999132817985119\n", - "sin , 0.9994936051757877\n", - "gaussian , 0.9994851357951505\n", - "cosh , 0.987913942212583\n", - "abs , 0.933975094122013\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 3.79e-07 | test loss: 3.79e-07 | reg: 1.38e-01 : 100%|██| 20/20 [00:00<00:00, 43.23it/s]\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "function , r2\n", - "x^2 , 0.9999999998837575\n", - "cosh , 0.9999099009608192\n", - "gaussian , 0.9997105669072212\n", - "sin , 0.9989290599804755\n", - "abs , 0.93740817498461\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 2.58e-06 | test loss: 2.58e-06 | reg: 2.68e-01 : 100%|██| 20/20 [00:00<00:00, 27.79it/s]\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "function , r2\n", - "arctan , 0.9999798378098914\n", - "cosh , 0.9999771001456361\n", - "tanh , 0.9999633902076488\n", - "sigmoid , 0.9999541433147963\n", - "1/x^4 , 0.9999236487568766\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 2.34e-06 | test loss: 2.34e-06 | reg: 2.40e-01 : 100%|██| 20/20 [00:00<00:00, 20.99it/s]\n" - ] - }, - { - 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- "train loss: 1.38e-06 | test loss: 1.38e-06 | reg: 7.70e-02 : 100%|██| 20/20 [00:00<00:00, 48.12it/s]\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "function , r2\n", - "cosh , 0.9268644000446836\n", - "x^4 , 0.9112716246650874\n", - "x^2 , 0.8865324039130013\n", - "sin , 0.8842948895377678\n", - "gaussian , 0.8094804211038418\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 1.60e-06 | test loss: 1.60e-06 | reg: 1.05e-01 : 100%|██| 20/20 [00:00<00:00, 44.20it/s]\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "function , r2\n", - "cosh , 0.9740201843349593\n", - "x^4 , 0.9673225582521513\n", - "gaussian , 0.952288197814531\n", - "tanh , 0.9497276520343576\n", - "sigmoid , 0.9497237037538462\n" - ] - } - ], - "source": [ - "# let's do a phase diagram, which looks quite \"fractal\"\n", - "num = 11\n", - "a_arr = np.linspace(0,1,num=num)\n", - "b_arr = np.linspace(0,1,num=num)\n", - "sf_mat = np.empty((num,num), dtype='U8')\n", - "\n", - "for i in range(num):\n", - " for j in range(num):\n", - " a = a_arr[i]; b = b_arr[j]\n", - " sf_mat[i,j] = mix(a, b)" - ] - }, - { - "cell_type": "code", - "execution_count": 26, - "id": "7c60506b", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 26, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "classes = list(set(sf_mat.reshape(-1,)))\n", - "n_class = len(classes)\n", - "\n", - "colors = np.random.rand(n_class,4)\n", - "dic = {}\n", - "for i in range(n_class):\n", - " dic[classes[i]] = colors[i]\n", - " \n", - "\n", - "img = np.zeros((num,num,4))\n", - "for i in range(num):\n", - " for j in range(num):\n", - " img[i][j] = dic[sf_mat[i][j]]\n", - "plt.imshow(img)" - ] - }, - { - "cell_type": "markdown", - "id": "16bfe1f1", - "metadata": {}, - "source": [ - "Does this mean symbolic regression is screwed? The hope is that by incorporating reasonable inductive biases (hence reducing the symbolic search space), SR will become more robust." - ] - }, - { - "cell_type": "code", - "execution_count": 27, - "id": "39598bda", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "dict_keys(['x', 'x^2', 'x^3', 'x^4', '1/x', '1/x^2', '1/x^3', '1/x^4', 'sqrt', '1/sqrt(x)', 'exp', 'log', 'abs', 'sin', 'tan', 'tanh', 'sigmoid', 'sgn', 'arcsin', 'arctan', 'arctanh', '0', 'gaussian', 'cosh'])" - ] - }, - "execution_count": 27, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "# we have used the default symbolic library whch contains the following functions\n", - "SYMBOLIC_LIB.keys()" - ] - }, - { - "cell_type": "code", - "execution_count": 28, - "id": "61234166", - "metadata": {}, - "outputs": [], - "source": [ - "# we may constrain to a smaller library (pass as parameter \"lib=lib\" in suggest_symbolic)\n", - "lib = ['exp', 'x^2', 'sin']\n", - "def mix(a, b, bound=1):\n", - " num_pts = 101\n", - " x = torch.linspace(-bound,bound,steps=num_pts)\n", - " x = x[:,None]\n", - " y = a * torch.sin(x) + b * x**2 + (1-a-b) * torch.exp(x)\n", - " dataset = {}\n", - " dataset['train_input'] = dataset['test_input'] = x\n", - " dataset['train_label'] = dataset['test_label'] = y\n", - " model = KAN(width=[1,1], grid=10, k=3, seed=0, grid_range=(-bound,bound))\n", - " model.train(dataset, opt=\"LBFGS\", steps=20)\n", - " return model.suggest_symbolic(0,0,0,lib=lib)[0]\n" - ] - }, - { - "cell_type": "code", - "execution_count": 29, - "id": "908b77ea", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 2.17e-08 | test loss: 2.17e-08 | reg: 2.58e-01 : 100%|██| 20/20 [00:00<00:00, 45.44it/s]\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "function , r2\n", - "exp , 0.9999999999999639\n", - "x^2 , 0.9999841274399789\n", - "sin , 0.9999195962429422\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - 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] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "function , r2\n", - "x^2 , 0.9896966425177599\n", - "sin , 0.985121456003004\n", - "exp , 0.508387788052642\n" - ] - } - ], - "source": [ - "# we can redo the analysis for a more contrained (bound) region. The phase diagram becomes even more \"fractal\"\n", - "num = 11\n", - "a_arr = np.linspace(0,1,num=num)\n", - "b_arr = np.linspace(0,1,num=num)\n", - "sf_mat = np.empty((num,num), dtype='U8')\n", - "\n", - "for i in range(num):\n", - " for j in range(num):\n", - " a = a_arr[i]; b = b_arr[j]\n", - " sf_mat[i,j] = mix(a, b, bound=0.3)" - ] - }, - { - "cell_type": "code", - "execution_count": 30, - "id": "759c31f7", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 30, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "classes = list(set(sf_mat.reshape(-1,)))\n", - "n_class = len(classes)\n", - "\n", - "colors = np.random.rand(n_class,4)\n", - "dic = {}\n", - "for i in range(n_class):\n", - " dic[classes[i]] = colors[i]\n", - " \n", - "\n", - "img = np.zeros((num,num,4))\n", - "for i in range(num):\n", - " for j in range(num):\n", - " img[i][j] = dic[sf_mat[i][j]]\n", - "plt.imshow(img)" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.7" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/tutorials/API_10_device.ipynb b/tutorials/API_10_device.ipynb deleted file mode 100644 index 70514a7a..00000000 --- a/tutorials/API_10_device.ipynb +++ /dev/null @@ -1,173 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "134e7f9d", - "metadata": {}, - "source": [ - "# Demo 10: Device\n", - "\n", - "All other demos have by default used device = 'cpu'. In case we want to use cuda, we should pass the device argument to model and dataset." - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "id": "7a4ac1e1-84ba-4bc3-91b6-a776a5e7711c", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "cpu\n" - ] - } - ], - "source": [ - "from kan import KAN, create_dataset\n", - "import torch\n", - "\n", - "torch.use_deterministic_algorithms(False)\n", - "\n", - "#device = torch.device('cuda' if torch.cuda.is_available() else 'cpu')\n", - "device = 'cpu'\n", - "print(device)" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "id": "2075ef56", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "checkpoint directory created: ./model\n", - "saving model version 0.0\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "| train_loss: 6.83e-01 | test_loss: 7.21e-01 | reg: 1.04e+03 | : 100%|█| 50/50 [00:19<00:00, 2.62it\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "saving model version 0.1\n" - ] - } - ], - "source": [ - "model = KAN(width=[4,100,100,100,1], grid=3, k=3, seed=0).to(device)\n", - "f = lambda x: torch.exp((torch.sin(torch.pi*(x[:,[0]]**2+x[:,[1]]**2))+torch.sin(torch.pi*(x[:,[2]]**2+x[:,[3]]**2)))/2)\n", - "dataset = create_dataset(f, n_var=4, train_num=1000, device=device)\n", - "\n", - "# train the model\n", - "#model.train(dataset, opt=\"LBFGS\", steps=20, lamb=1e-3, lamb_entropy=2.);\n", - "model.fit(dataset, opt=\"Adam\", lr=1e-3, steps=50, lamb=1e-3, lamb_entropy=5., update_grid=False);" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "2f182cc1-51bf-4151-a253-a52fe854919e", - "metadata": {}, - "outputs": [], - "source": [] - }, - { - "cell_type": "code", - "execution_count": 3, - "id": "f6f8125e-d26d-4c97-9e5f-988099bb4737", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "cuda\n" - ] - } - ], - "source": [ - "device = 'cuda'\n", - "print(device)" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "id": "95017dfa-3a2a-43e0-8b68-fb220ca5abc9", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "checkpoint directory created: ./model\n", - "saving model version 0.0\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "| train_loss: 6.83e-01 | test_loss: 7.21e-01 | reg: 1.04e+03 | : 100%|█| 50/50 [00:01<00:00, 26.90it\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "saving model version 0.1\n" - ] - } - ], - "source": [ - "model = KAN(width=[4,100,100,100,1], grid=3, k=3, seed=0).to(device)\n", - "f = lambda x: torch.exp((torch.sin(torch.pi*(x[:,[0]]**2+x[:,[1]]**2))+torch.sin(torch.pi*(x[:,[2]]**2+x[:,[3]]**2)))/2)\n", - "dataset = create_dataset(f, n_var=4, train_num=1000, device=device)\n", - "\n", - "# train the model\n", - "#model.train(dataset, opt=\"LBFGS\", steps=20, lamb=1e-3, lamb_entropy=2.);\n", - "model.fit(dataset, opt=\"Adam\", lr=1e-3, steps=50, lamb=1e-3, lamb_entropy=5., update_grid=False);" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "8230d562-2635-4adc-b566-06ac679b166a", - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.8.15" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/tutorials/API_1_indexing.ipynb b/tutorials/API_1_indexing.ipynb deleted file mode 100644 index 6111a2f8..00000000 --- a/tutorials/API_1_indexing.ipynb +++ /dev/null @@ -1,410 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "134e7f9d", - "metadata": {}, - "source": [ - "# Demo 1: Indexing" - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "id": "2075ef56", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "from kan import *\n", - "\n", - "model = KAN(width=[2,3,2,1])\n", - "x = torch.normal(0,1,size=(100,2))\n", - "model(x);\n", - "beta = 100\n", - "model.plot(beta=beta)\n", - "# [2,3,2,1] means 2 input nodes\n", - "# 3 neurons in the first hidden layer,\n", - "# 2 neurons in the second hidden layer,\n", - "# 1 output node" - ] - }, - { - "cell_type": "markdown", - "id": "c47ccd2b", - "metadata": {}, - "source": [ - "### Indexing of edges (activation functions)" - ] - }, - { - "cell_type": "markdown", - "id": "8c30add2", - "metadata": {}, - "source": [ - "Each activation function is indexed by $(l,i,j)$ where $l$ is the layer index, $i$ is the input neuron index, $j$ is the output neuron index. All of them starts from 0. For example, the one in the bottom left corner is (0, 0, 0). Let's try to make it symbolic and see it turns red." - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "id": "c95dbc78", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "r2 is 0.9989787936210632\n" - ] - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.fix_symbolic(0,0,0,'sin')\n", - "model.plot(beta=beta)\n", - "model.unfix_symbolic(0,0,0)" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "id": "bf721202", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "r2 is 0.9872174263000488\n" - ] - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.fix_symbolic(0,0,1,'sin')\n", - "model.plot(beta=beta)\n", - "model.unfix_symbolic(0,0,1)" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "id": "1e7cd4a8", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "r2 is 0.9238051772117615\n" - ] - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.fix_symbolic(0,1,0,'sin')\n", - "model.plot(beta=beta)\n", - "model.unfix_symbolic(0,1,0)" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "id": "18e0baa2", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "r2 is 0.9996684193611145\n" - ] - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.fix_symbolic(1,0,0,'sin')\n", - "model.plot(beta=beta)\n", - "model.unfix_symbolic(1,0,0)" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "id": "50eb8f8c", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "r2 is 0.8713403344154358\n", - "r2 is not very high, please double check if you are choosing the correct symbolic function.\n" - ] - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.fix_symbolic(2,1,0,'sin')\n", - "model.plot(beta=beta)\n", - "model.unfix_symbolic(2,1,0)" - ] - }, - { - "cell_type": "markdown", - "id": "960e5447", - "metadata": {}, - "source": [ - "### Indexing of nodes (neurons)" - ] - }, - { - "cell_type": "markdown", - "id": "f4a7880f", - "metadata": {}, - "source": [ - "Each neuron (node) is indexed by $(l,i)$ where $l$ is the layer index along depth, $i$ is the neuron index along width. In the function remove_node, we use use $(l,i)$ to indicate which node we want to remove." - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "id": "c9e70d77", - "metadata": { - "scrolled": true - }, - "outputs": [], - "source": [ - "model.remove_node(1,0)" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "id": "a22c9e31", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", 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\n", 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pkJaWhsrKSrVLIiInxHBxQFFRUWjfvj3OnDnDqTEiUgXDxQG5urriiSeeQFVVFVJTUzk1RkQNjuHigG6dGktNTeXUGBE1OIaLg6qdGjt9+jS+//57tcshIifDcHFQtWeNVVdXY926dZwaI6IGxXBxUEIIJCUlwd3dHRs2bEB5ebnaJRGRE2G4OLA2bdqga9euyMrKwpEjR9Quh4icCMPFgWm1WowdOxY1NTVYvnw5p8aIqMEwXBxY7Vlj/v7+2Lx5MwoLC9UuiYicBMPFwYWGhmLw4MEoLCzExo0bOXohogbBcHFwGo0GL7zwAlxcXPDJJ5+gurpa7ZKIyAkwXJxA7969ER0djWPHjuHYsWNql0NEToDh4gTc3d3x29/+FtXV1Vi6dCmnxojI6hguTkAIgSeffBKNGjVCWloarl27pnZJROTgGC5OIiwszLKwn56eztELEVkVw8VJCCHw3HPPQaPRYMWKFaipqVG7JCJyYAwXJyGEQN++fdGqVSt88803yM7OVrskInJgDBcn4unpicTERBiNRqSlpXFqjIishuHiRIQQGDVqFLRaLdavXw+TyaR2SUTkoBguTqZjx44IDw/Hd999h0uXLqldDhE5KIaLk9Hr9YiLi4PRaMTu3bvVLoeIHBTDxckIITBs2DAIIXhKMhFZDcPFCXXt2hUBAQH45ptvYDAY1C6HiBwQw8UJ+fv7o2vXrrh27RpOnjypdjlE5IAYLk5ICIG4uDgEBwcjJydH7XKIyAFp1S7AkR05cgRCCLXLuK2QkBC8++670Ol0uHLlitrlEJGDYbhYyUMPPYSqqiq1y7gjvV5v+X+3bt1UrISIHJGQPF2IiIgUxjUXIiJSHMOFiIgUx3CxE8eOHYMQgrcpJiK7wHAhIiLFMVyIiEhxDBciIlIcw4WIiBTHcCEiIsUxXIiISHEMFyIiUhzDhYiIFMdwISIixTFciIhIcQwXIiJSHMOFiIgUx3AhIiLFMVyIiEhxDBciIlIcw4WIiBTHcCEiIsUxXIiISHEMFyIiUhzDhYiIFMdwISIixWnVLoDuTUqJ4uJiAEBxcTGklBBCqFwVUcOSUuLGjRsoLS2Fl5cXAgIC2A9sGEcuNsxgMCAlJQWRkZGIjY0FAMTGxiIyMhIpKSkwGAzqFkjUAG7tB0FBQWjVqhWCgoLYD2yckFJKtYugX9q+fTtGjhwJo9EI4P8/tdWq/bTm4eGBdevWIT4+XpUaiayN/cB+MVxs0Pbt25GQkAApJcxm8x2/T6PRQAiB9PR0dixyOOwH9o3hYmMMBgOaNm2K8vLyu3aoWhqNBnq9Hrm5ufDz87N+gUQNgP3A/nHNxcYsX74cRqPxvjoUAJjNZhiNRqxYscLKlRE1HPYD+8eRiw2RUiIyMhLZ2dl4kD+LEALh4eHIysri2TNk99gPHAPDxYZcv34dQUFB9Xp8QECAghURNTz2A8fAaTEbUlpaWq/Hl5SUKFQJkXrYDxwDw8WGeHl51evx3t7eClVCpB72A8fAcLEhAQEBiIiIeOD5YiEEIiIi4O/vb6XKiBoO+4FjYLjYECEEJk+e/KseO2XKFC5ikkNgP3AMXNC3MTy/n4j9wBFw5GJj/Pz8sG7dOgghoNHc/c9TuzN5/fr17FDkUNgP7B/DxQbFx8cjPT0der0eQohfDPNrv6bX67FlyxbExcWpVCmR9bAf2DeGi42Kj49Hbm4u5s2bh/Dw8DrHwsPDMW/ePOTl5bFDkUNjP7BfXHOxA1JK7N27FwMHDsTu3bsxYMAALlqS02E/sC8cudgBIYRlLtnPz48dipwS+4F9YbgQEZHiGC5ERKQ4hgsRESmO4UJERIpjuBARkeIYLkREpDiGCxERKY7hQkREimO4EBGR4hguRESkOIYLEREpjuFCRESKY7gQEZHiGC5ERKQ4hgsRESmO4UJERIpjuNg4s9mMoqIiXL58GQCQn5+PsrIylasialjsB/aHtzm2URUVFdizZw9WrFiBw4cPo7CwEKWlpfD19UWrVq0QFxeH8ePHo127drwjHzks9gP7xXCxQdnZ2ZgxYwbS09MRFhaGAQMGoEuXLvDx8cGNGzdw5MgR7N27F9XV1Zg2bRqmTJkCDw8PtcsmUhT7gX1juNiYU6dOYcyYMcjJycHUqVPx4osvwsfHB5mZmTCZTHB3d0fnzp2Rn5+PuXPnYtmyZXjmmWcwZ84cdixyGOwHDkCSzbh+/bqMiYmRgYGBMjU1VZpMJimllOfPn5eBgYFSq9XKyMhIWVRUJM1ms6yqqpILFy6UPj4+8q233pI1NTUqvwKi+mM/cAxatcON/uOjjz7CkSNHMH/+fAwbNgwazX/Ot6iurobJZILJZAIACCHg6uqK559/Hjk5OZg/fz6GDh2Krl27qlU+kSLYDxwDzxazEYWFhVi2bBn69OmDsWPH1ulQd6PVajFlyhQEBwdj8eLFkJzlJDvGfuA4GC424vDhw8jJycG4cePg7u6OmpqaOv9qSSl/cSwwMBAjRozArl27YDAY1HsRRPXEfuA4OC1mIzIzM+Hm5oauXbsiOTkZJ0+etBwrLy+3nNNfUFCA0aNHQ6v9z59u4sSJiImJwYIFC5CXl4dGjRo1eP1ESmA/cBwMFxtRWFgId3d3+Pr64tChQ8jIyLjt95WXl2P37t11vpaQkIC+ffvCbDbzExvZNfYDx8FwsRE6nQ5msxkmkwkajeYXc81ms9ny/58fE0KgqqoKAODq6mr9YomshP3AcTBcbERERATKysqQm5uL9957D8XFxZZj+fn5mDJlCsrKytC4cWMsWLAAXl5eluPt2rXD/v374e7ujsaNG6tRPpEi2A8cB8PFRvTq1Qtubm7Ytm0bZs6cWedTWXZ2tmVu2cPDA7GxsXXmk00mE9LT09GuXTuEhoY2eO1ESqlvP9iyZQv7gY3g2WI2on379ujTpw8+//xznD9//r5PpZRS4tChQ9i2bRvOnj2Lf/3rX5apASJ7U99+sHPnTowZMwY6nc7KldK9MFxshE6nQ3JyMgwGA5KTk3Hz5s17diwpJfLz8zFjxgw0a9YMXbt2xe9+9zuEh4fjgw8+QElJSQNVT6SM+vaDyMhIjB49uoGqpbthuNiQ/v37Y/r06di6dStefvll5OXlQUoJFxcXhISEIDQ0FMHBwdBoNJBS4uzZsxg/fjwuXryIxYsXY8uWLfj+++8xaNAg/Pd//zeaN2+Ov/zlLygsLFT7pRHdt/r0g7lz5/IUZBvBC1famMrKSsycOROzZ89G8+bNMXHiRMTFxUGn08HFxQU1NTUoLS1FWloaFi1aBFdXV3z88ccYOHBgnefJzc3F3Llz8fHHH6Ompga//e1v8V//9V8IDw9X6ZUR3T+l+gGph+Fig2pqaiwLmkePHoVer0doaCg8PT1RUlKCK1euwMXFBUlJSfjTn/6E1q1b3/G5ioqK8OGHH2L+/Pm4ceMGnnrqKSQnJ6Nz584N94KIfgUl+wE1PIaLDTMajThy5Ai+/PJLZGVloby8HAEBAejUqRP69++P1q1bw8XF5b6eq7y8HMuWLcPs2bNx8eJFxMXFITk5GQMGDOBNlsimKdkPqOEwXOyIlLLeQWAymbB27Vq89957OH78OHr06IHk5GQkJSWxg5JdUKIfkPVxQd+OKNGhtFotxowZg8zMTGzbtg1eXl548skn0a5dOyxevBiVlZUKVEpkPQwW+8BwcVJCCMTHx2PPnj04dOgQHnroIUyYMAGtWrXCrFmz8OOPP6pdIhHZMU6LkcWZM2fw/vvvY8WKFXB3d8fEiRPxhz/8gbudieiBMVzoF65cuYJ58+Zh4cKFqKysxPjx4zF9+nRERkaqXRoR2QmGC92RwWDAwoULMW/ePBQWFmLkyJFITk5G9+7d1S6NiGwcw4XuqaKiAsuXL8fs2bNx/vx5DBw4EMnJyYiNjeXiKhHdFhf06Z7c3d0xYcIEnDlzBmvWrIHBYEBcXBy6deuG1atXw2QyqV0iEdkYhgvdNxcXF4waNQqHDx/Grl27EBAQgNGjRyMqKgoLFy5EeXm52iUSkY3gtBjVy9GjRzFr1ix88cUXCAwMxB/+8Af8/ve/h5+fn9qlEZGKGC6kiHPnzuH999/Hp59+CldXV0yYMAFTp05FkyZN1C6NiFTAcCFFXb16FfPnz8eHH34Io9GIZ599FtOnT0fbtm3VLo2IGhDDhazi5s2b+PjjjzF37lxcvXoViYmJSE5ORu/evdUujYgaABf0ySp8fHwwffp0XLhwAYsXL8YPP/yAPn36oH///ti6det9376WiOwTw4WsSqfT4fnnn8epU6ewfv16lJeXY8iQIejcuTM+++wznsZM5KAYLtQgNBoNnnjiCRw8eBB79+5FWFgYxo0bh8jISPz973+H0WhUu0QiUhDXXEg13377LWbNmoXVq1fD398fkydPxiuvvIKAgAC1SyOiemK4kOouXLiADz74AJ988glcXFzw4osvYtq0aWjWrJnapRHRr8RwIZtRWFiIBQsW4B//+AdKSkrwzDPPYMaMGYiOjla7NCJ6QAwXsjmlpaVYvHgx5syZg9zcXAwbNgzJycmIiYlRuzQiuk8MF7JZVVVVWLVqFd577z388MMPiImJwaefforWrVurXRoR3QPDhaxCyWZV+1xSSgghrHKZf946gEhZWrULIMd08eJFrFq1ClqtbTcxKSWio6ORkJDAgCFSkG33fLJbOTk5CAkJwaBBg6zy/KWlpTh8+DAaNWqEtm3bwt3d/Vc9j8FgwNq1a5GQkKBwhUTOjeFCVhMYGKj46cRSSly7dg2/+93vsG/fPmi1WiQmJuKTTz6Bp6fnAz+fp6cnNBruJSZSGnsV2RWTyYSpU6di9+7diI6ORpMmTbB27VosWLCA1ysjsiEMF7IbUkqkp6dj7dq1iIyMRHp6OlavXg0vLy+kpKTg6tWrapdIRD9huJDdKC8vxzvvvAMpJf72t78hLCwMXbp0wciRI1FQUIA1a9Zw9EJkIxguZBeklNi4cSOOHz+Ovn37Ws7u0mg0eOGFF6DVavHZZ5+hurpa7VKJCAwXshMVFRWYM2cOhBBITk6Gm5ub5ViXLl3Qpk0bnDx5EufPn1exSiKqxXAhmyelxO7du5GZmYnu3bvjscceq7Mnxd3dHYMHD0ZFRQV27drFqTEiG8BwIZtXXV2NOXPmQEqJP/7xj9DpdHWOCyHw+OOPQ6PRYMeOHQwXIhvAcCGbJqVERkYGDhw4gOjoaAwdOvS2O+k7duyIRo0aITMzE6WlpSpUSkS3YriQTauursbf/vY3mEwm/OEPf4CHh8dtv8/f3x/t2rVDYWEh112IbADDhWyWlBJpaWnYv38/OnTogFGjRt3x+l8ajQb9+vWDyWTCwYMHOTVGpDKGC9kkKSXOnj2LqVOnQgiBN998E15eXnf8fiEE+vbtCwD4+uuvG6pMIroDhgvZpJs3b+LFF19Efn4+Jk6ciGHDht3zqsXR0dHQ6/X49ttvud+FSGUMF7I5VVVVeP3115GRkYF+/frh7bffvq9L94eEhCA0NBQ5OTkoKipqgEqJ6E4YLmQzpJQoKirCq6++io8++ghNmjTB4sWL4e3tfV+Pd3d3R9u2bVFSUoILFy5YuVoiuhuGC6lOSgmj0YgNGzagf//++PDDDxEWFoaVK1ciMjLygW7i1alTJ5jNZpw4ccKKFRPRvfB+LtTgpJSWQMnOzsbu3bvx+eefIzMzEwAwZMgQzJo1C23btn2gYBFCoHPnzgCA48ePW26LTEQNj+FCViWlhNlshtFotOxB+e6773D48GEcP34cOTk5KC8vh6urK7p27YqpU6ciKSkJbm5uvyoYoqKioNVq8f333zNciFTEcCGrKSkpweuvv45jx47h3LlzKCgoQFlZGcxmMzQaDXx8fNC+fXs8+uijGDZsGHr27Al3d/d6BUKTJk3g6+uLCxcuoLy8/FfdnZKI6o/hQlb16aeforCwED4+PmjZsiWioqLw0EMPoVu3bmjfvj1CQkKg0+kUG2H4+PigSZMmyMrKwrVr1xguRCphuJDVeHp64h//+AcCAwPRsmVL+Pv7W4LEWtNVWq0Wbdq0wYkTJ3DhwgW0bNnSKj+HiO6OZ4uR1Wg0GiQmJiImJgZNmjSBXq+HRqOx+jpIdHQ0pJQ4deqUVX8OEd0ZRy7kUIQQ6NChAwDg5MmTd1zUP3v2LM6cOYP27ds3dIlEToEjF3I4bdq0gVarxQ8//HDbC1hKKbFkyRI88cQT+OKLL1SokMjxMVzI4YSFhcHHxwcXL15EeXn5L45XVlZi69atcHNzw8MPP6xChUSOj+FCDsfHxwdhYWG4fv06rl+//ovjFy5cwLlz5xAVFYXw8HAVKiRyfAwXcji1Z4yVl5f/4hpjUkp8/fXXqKysxKOPPgo3NzeVqiRybAwXckgdOnSAlNKyqH+rvXv3AgAGDBigRmlEToHhQg5HCIFOnToB+P9rjN2qsrIShw8fhqenJ7p06aJGeUROgeFCDikqKgqurq74/vvvYTabLV/Py8tDTk4OWrVqhZCQEBUrJHJsDBdySGFhYfD398eFCxdQUlJi+XpmZibKy8vRo0cPuLq6qlghkWNjuJBD8vb2RkREBIqKipCTkwPg/xfzMzIyAICnIBNZGcOFHJJGo0Hnzp1RXV1tuXFYTU0NvvrqK7i5uaFHjx68HD+RFTFcyCEJIdCjRw8AwOHDhyGlxLVr15CVlYXQ0FBe0JLIyhgu5LC6dOkCV1dXHDx4EDU1NTh69Chu3ryJHj16wMPDQ+3yiBwaw4UcVnh4OEJDQ3HmzBlcv34dO3bsgJQScXFxapdG5PAYLuSwPD090atXL/z444/YvXs3tm3bBg8PDzzyyCNcbyGyMoYLObSkpCQAwFtvvYULFy6ge/fuvJ4YUQPg/VzIYQkhEBcXh6ZNm+LcuXMQQuC5556Di4uL2qUROTyOXMih+fv7Y/bs2WjTpg3Gjh2Lp556ilNiRA2AIxeymqNHj9rEG7ler8cbb7wBd3d37N69u86x0tJSVFdXq1QZkeMS8na36iOqp+LiYhw9elTtMu5L06ZNERUVZRNBSOQoGC5ERKQ4rrkQEZHiGC5kF6SUMJvNv7jxFxHZJoYL2YXMzEwEBgaia9euKCgoULscIroHhgvZha5du+Lf//43CgoK8PDDD+PSpUtql0REd8FwIbvRoUMHZGRkwGQyoV+/fjh9+rTaJRHRHTBcyK6Eh4cjIyMDfn5+ePjhh+3mdGciZ8NwIbsTFhaG/fv3IyIiAgMGDMD+/fvVLomIfobhQnbJ398fu3btQq9evTB48GBs3rxZ7ZKI6BYMF7JbXl5e2Lx5M4YMGYKkpCR89tlnapdERD9huJBd0+l0WL16NX7zm99g3Lhx+Mc//qF2SUQEXriSHIBWq8Unn3yCRo0aYdKkSSguLsZrr73Ga4URqYjhQg5BCIH3338f/v7++Mtf/oKioiJ88MEHDBgilTBcyGEIIfDaa6/Bz88PkyZNgsFgwKJFi6DVspkTNTT2OnI4r7zyCvz8/DB+/Hj8+OOP+Ne//gWdTqd2WUROhZfcJ4e1efNmjBo1CjExMUhNTYWXl5faJRE5DYYLObT9+/dj2LBhaN++PbZs2QJ/f3+1SyJyCgwXcnjHjh1DfHw8GjdujB07diAsLEztkogcHsOFnMLp06cxaNAguLq6YufOnYiIiFC7JCKHxk2U5BTatm2LjIwMaLVa9OvXDydPnlS7JCKHxnAhp9GiRQtkZGQgJCQEjzzyCA4ePKh2SUQOi+FCTiU4OBj79u1DdHQ0YmNjsWvXLrVLInJIDBdyOr6+vti+fTseeeQRJCQkYP369WqXRORwGC7klDw8PJCamooRI0Zg1KhRWLp0qdolETkU7tAnp+Xm5oaVK1fCz88Pzz//PAwGA6ZNm6Z2WUQOgeFyH6SUuHHjBkpLS+Hl5YWAgABeENFBuLi44MMPP0SjRo3w6quvoqioCO+8884v/r5sA8Q28GA4LXYXBoMBKSkpiIyMRFBQEFq1aoWgoCBERkYiJSUFBoNB7RJJAUII/PWvf8WsWbPw7rvvYtKkSTCbzQDYBoht4FeTdFvbtm2Tnp6eUgghhRASgOVf7dc8PT3ltm3b1C6VFLR48WKp0WjkM888Izdv3sw24OT4PvDrcYf+bWzfvh0JCQmQUlo+wd6ORqOBEALp6emIj49vwArJmr744guMGTMGJpMJQgjcrYuwDTguvg/UD8PlZwwGA5o2bYry8vK7NqhaGo0Ger0eubm58PPzs36BZHUGgwEhISGorKy8r+9nG3A8fB+oP665/Mzy5cthNBrvq0EBgNlshtFoxIoVK6xcGTWU5cuXo6qq6r6/n23A8fB9oP44crmFlBKRkZHIzs6+61TIzwkhEB4ejqysLJ49YufYBohtQBkMl1tcv34dQUFB9Xp8QECAghVRQ2MbILYBZXBa7BalpaX1enxJSYlClZBa2AaIbUAZDJdb1Pc2uN7e3gpVQmphGyC2AWUwXG4REBCAiIiIB54vFUIgIiKCt9B1AGwDxDagDIbLLYQQmDx58q967JQpU7iI5wDYBohtQBlc0P8Znt9ObAPENlB/HLn8jJ+fH9atWwchBDSau/96anfmrl+/ng3KgbANENtA/TFcbiM+Ph7p6enQ6/UQQvximFv7Nb1ejy1btiAuLk6lSsla2AaIbaB+GC53EB8fj9zcXMybNw/h4eF1joWHh2PevHnIy8tjg3JgbAPENvDrcc3lPkgpsXfvXgwcOBC7d+/GgAEDuGjnZNgGiG3gwXDkch+EEJa5VD8/PzYoJ8Q2QGwDD4bhQkREimO4EBGR4hguRESkOIYLEREpjuFCRESKY7gQEZHiGC5ERKQ4hgsRESmO4UJERIpjuBARkeIYLkREpDiGCxERKY7hQkREimO4EBGR4hguRESkOIYLEREpjuFyD2azGUVFRbh8+TIAID8/H2VlZSpXRQ2JbYDYBh4cb3N8BxUVFdizZw9WrFiBw4cPo7CwEKWlpfD19UWrVq0QFxeH8ePHo127drwjnYNiGyC2gV+P4XIb2dnZmDFjBtLT0xEWFoYBAwagS5cu8PHxwY0bN3DkyBHs3bsX1dXVmDZtGqZMmQIPDw+1yyYFsQ0Q20A9Sarj+++/lx07dpSNGjWSb7/9tszPz5dlZWUyIyND7tu3Tx48eFBWVFTICxcuyClTpkhvb285YcIEWVZWpnbppBC2AWIbqD+Gyy2uX78uY2JiZGBgoExNTZUmk0lKKeX58+dlYGCg1Gq1MjIyUhYVFUmz2SyrqqrkwoULpY+Pj3zrrbdkTU2Nyq+A6ottgNgGlMFwucU777wjdTqd/Pjjj+s0kPPnz0tfX18JQLZq1UoWFRVZjlVXV8vXXntNBgQEyKNHj6pRNimIbYDYBpTBs8V+UlhYiGXLlqFPnz4YO3YsNJr7+9VotVpMmTIFwcHBWLx4MSSXsOwW2wCxDSiH4fKTw4cPIycnB+PGjYO7uztqamrq/KslpfzFscDAQIwYMQK7du2CwWBQ70VQvbANENuAcrRqF2ArMjMz4ebmhq5duyI5ORknT560HCsvL7ec015QUIDRo0dDq/3Pr27ixImIiYnBggULkJeXh0aNGjV4/VR/bAPENqAchstPCgsL4e7uDl9fXxw6dAgZGRm3/b7y8nLs3r27ztcSEhLQt29fmM1mfmKxY2wDxDagHIbLT3Q6HcxmM0wmEzQazS/mWs1ms+X/Pz8mhEBVVRUAwNXV1frFklWwDRDbgHIYLj+JiIhAWVkZcnNz8d5776G4uNhyLD8/H1OmTEFZWRkaN26MBQsWwMvLy3K8Xbt22L9/P9zd3dG4cWM1yicFhIeHsw04Ob4PKIfh8pNevXrBzc0N27Ztw8yZM+t8KsnOzrbMrXp4eCA2NrbOfKrJZMKWLVvQrl07hIaGNnjt9OtVV1dj//79SEtLw9q1a1FVVfWr28DmzZthMpmQmpqKkSNHolmzZg3+eqh++D6gHJ4t9pP27dujT58++Pzzz3H+/Pn7PpVQSolDhw5h586dGDNmDHQ6nZUrpfoqKSnB2rVrMXbsWAQHB2PQoEHYuHEjRo4ciW7duv3qNrBr1y6EhoZi+vTpaN68Obp374533nkHJ06c4KmpdoLvAwpSZXeNjdq1a5f09vaWTzzxhDQYDNJsNksp77x5ymw2y7y8PNm3b1/Zs2fPOpuqyLZcuXJFLly4UD7++OPSzc1NApCdO3eWb7zxhszMzLT8rZVoAwaDQa5atUo+/fTT0tvb2/KYqVOnyn379snq6mrVfg90b3wfUAbD5RYmk0m+/fbb0t3dXY4ePVrm5ORIs9ksL168KKOiomRoaKjs1auXpcGdPn1axsbGyrCwMHngwAG1y6dbmM1meerUKfnXv/5V9urVSwKQLi4ucsCAATIlJUVeuHDhto9Tug1UVFTIbdu2yYkTJ8qwsDAJQAYEBMjx48fL9evXy9LSUiv/JuhB8X1AGbwq8s9UVlZi5syZmD17Npo3b46JEyciLi4OOp0OLi4uqKmpQWlpKdLS0rBo0SK4urri448/xsCBA9Uu3enV1NTg4MGDSEtLQ2pqKrKysuDp6YnBgwcjMTERCQkJ8Pf3v+fzWKsNmM1mHD16FKmpqUhLS8P3338Pd3d3DBo0CElJSRg2bBiCgoKU+nVQPfB9oP4YLrdRU1NjWdA7evQo9Ho9QkND4enpiZKSEly5cgUuLi5ISkrCn/70J7Ru3Vrtkp1W7X6D1NRUbNq0CYWFhQgODkZiYiISExMxcOBAuLu7P/DzNkQbOHfunCUIDxw4ACEE+vbti8TERCQlJbFdqYzvA/XDcLkLo9GII0eO4Msvv0RWVhbKy8sREBCATp06oX///mjdujVcXFzULtPp3LhxA+np6UhLS8O2bdtgNBrRpk0bJCUlISkpCb169brva0LdS0O1gcLCQmzevBlpaWnYsWMHKioq0L59eyQlJSExMRHdu3dX7DXRg+H7wK/DcHkAUkrebU4lFy9etHzK//LLL1FTU4PevXtb3nzbtm3bIHU0RBsoKyvDzp07kZaWhk2bNuHGjRsICwvD8OHDkZSUhAEDBsDNzc2qNdCd8X3g/jBcyCZJKfHtt99a1ieOHz8ONzc3xMbGIjExEcOGDXOKvQQmkwlfffWV5feQnZ0Nb29vDBkyBImJiRgyZAh8fX3VLpPoFxguZDOqq6vx73//G2lpaUhLS8Ply5fh5+eHhIQEJCUlIT4+Ht7e3mqXqRopJU6ePGkZwR09ehSurq7o378/kpKSMHz4cDRt2lTtMokAMFxIZSUlJdi2bRvS0tKQnp4Og8GAZs2aWaa7HnnkEV6n6Q5ycnKwceNGpKWlYe/evTCZTOjevbvlZIYOHTpw+oZUw3ChBnf16lVs3LgRqamp2L17N6qqqtCpUyfLWVKdO3fmm+IDMhgM2Lp1K1JTU7F161aUlJQgPDzcEtIxMTFcdKYGxXChBnH69GnLusHBgwfh4uKChx9+2DKd06pVK7VLdBiVlZXYu3evZXoxPz8fgYGBGDp0KBITExEXFwcPDw+1yyQHx3AhqzCbzXU2NJ49exYeHh51NjQGBASoXabDM5vNOHLkiCXYT506Bb1eb9m4OXToUG7cJKtguJBiKioq6mxoLCgoQHBwMIYNG4akpCQMHDgQer1e7TKdWlZWliXwv/rqKwghEBMTY1mn4UZAUgrDheqlqKiozobGsrIyREZG1tnQyLl+21S7cTM1NRU7d+5ERUUFoqOj62zc5NoX/VoMF3pgly5dsnz6/fe//42amhr06tWrzoZGvinZl7KyMuzYscOycbOoqAhNmjSxbNzs378/N27SA2G40D3VbmisXSD+9ttv4ebmhoEDB1o2NIaFhaldJinEZDLhwIEDlnWaCxcuwMfHx7Jx8/HHH+fGTbonhgvdVnV1Nb788kvLG8zly5fh6+tr2dA4ePBgp97Q6CyklDhx4oRlpHrs2DG4urpiwIABljP9mjRponaZZIMYLmRRWlpaZ0NjcXExmjZtapnuevTRR7mh0cldvnzZsnFz3759MJlM6NGjh+WEgOjoaE6JEgCGi9O7evUqNm3aZNnQWFlZiY4dO1o2NHbp0oVvFnRbBoMBW7ZssWzcLC0tRUREhKXt9O3blydzODGGixM6c+ZMnQ2NQgjLhsbExERuaKQHVllZiT179ljW5a5evYrAwEAMGzYMiYmJGDRoEDduOhmGixMwm804dOiQZd78zJkz8PDwQHx8PJKSkrihkRRlNptx+PBhyweYH374AXq9HnFxcZaNm4GBgWqXSVbGcHFQFRUV2LNnj2VD49WrVxEUFIThw4cjMTERsbGx3NBIDeLs2bOWDzZff/01hBDo16+fZZ0mIiJC7RLJChguDqS4uNiyoXHr1q0oKytD69atLRsae/fuzTlwUlVBQUGdjZuVlZXo0KGDZUq2W7duXONzEAwXO3f58mXLp8L9+/ejpqYGPXv2tHTWdu3asbOSTSotLa2zcbP27MTajZuPPvooN27aMYaLnZFS4rvvvrPMZ2dmZsLV1dWyoXH48OHc0Eh2x2QyISMjw9KuL168CB8fHyQkJFg2bvr4+KhdJj0Ahoud2LdvH1JTU5GamopLly7B19cXQ4YMsWxoZMcjR1H7Aap2RF77Aeqxxx5DYmIiRo4cieDgYLXLpHtguFiJ0r9Ws9ls+X/tNJeS012cOiOl2dtbC/uAsrRqF+CoLl68iFWrVkGrte1fsZQS0dHRSEhIYOciRbEPODfb/qvbsZycHISEhGDQoEGWr0kpUVNTg6qqKpSXl6O0tBQGgwE3btyAVqtFy5YtERwcDJ1O12CN3GAwYO3atUhISGiQn0fO43Z94FYmkwk3b95EQUEBCgoKUFZWBjc3NzRu3BjNmjWDn59fg/QDg8GANWvWsA8ojOFiRV5eXkhPT0dubi6uXr2KwsJCXL9+HUVFRbh58yaMRiMqKipgMpkghICXlxdatmyJbt264eGHH0a3bt3QsmVLeHp6ArDOsN3T0xMajUbx5yUCgMDAQDRr1gxSSlRWVuLKlSvIzMzEgQMHcOzYMZw7dw5FRUWorKyElBJCCLi6uiIkJAQDBw7Eiy++iO7du8PFxcVqQcM+YB0MFyuqqqrCm2++icLCQggh4OLiAldXV+j1enh5eSE4OBj+/v4ICgpCRUUFzp49i3PnzuG7777D0qVLodfr0aJFC/Tr1w8jRoxAv3794OnpyaE72Y2KigqsWbMG+/fvx8GDB3Hu3DmUlJRASgk3Nzf4+/ujY8eOaNq0KXx8fFBZWYlLly7hhx9+wNKlS7Fq1SokJSXh7bffRkREBNu+HWG4WJGHhwf+53/+B25ubggODkZgYCD8/f3h4+MDT09P6HQ6uLq6QqPRQEoJo9GIvLw8HDt2DBkZGfjmm2+QlZWFJUuWYNmyZejYsSNmzJiBpKQkuLm5saORzTMajZgxYwauXbsGDw8PNG/eHN27d0e/fv3QrVs3tGjRAn5+fnXWZUwmE65cuYK1a9fio48+wqpVq7B//368//77eOqpp7gR2E4wXKxIq9Xi97///X19b+20WFRUFNq0aYPRo0ejqqoKOTk52Lt3L1auXImDBw/i2WefRWJiIubOnYsmTZowYMim+fn5Ydq0aQgJCUGPHj3QokWLe07zurq6okWLFnj11Vcxbtw4vPvuu1i8eDF++9vf4vTp0/jzn/8MnU7XkC+DfgVONNogIQSEENDpdGjdujVeeOEFbN++HatXr0abNm2wbt06PP744zh+/Ljdne5JzkWj0SA5ORnjx49HdHQ0vLy8LO37XoQQCAkJwdy5c/Hpp5/C29sb//u//4tp06ahvLy8Aaqn+mC42AEhBNzd3ZGYmIhdu3Zh1KhROHXqFBITE3Ho0CEGDNm0+w2TO9FqtXj66aeRlpaGZs2aYeHChZg2bRoqKioUrJKUxnCxI0IING7cGMuWLcMrr7yCvLw8PPXUU8jMzGTAkEMTQqBPnz7YsGEDmjdvjkWLFuHNN9+EyWRSuzS6A4aLnRFCwMPDA7NmzcIrr7yCK1euYPTo0Th//jwDhhyaEAKdO3fG6tWrERQUhDlz5mDx4sVs9zaK4WKn3N3dMXPmTDz77LM4d+4cxo0bh2vXrrGjkUMTQqBHjx5YunQpdDodkpOTsX//frZ7G8RwsWN6vR4pKSmIj4/HN998g0mTJnEemhyeEAKDBw/GO++8A6PRiJdeegn5+flql0U/w3Cxc97e3liyZAnat2+P9evXY+7cuXUucknkiDQaDX7/+9/j6aefRlZWFl599VVUVVWpXRbdguFi54QQCAsLwyeffAIfHx/MnDkTBw4c4DQBOTw3Nze8//77iIyMxBdffIHPP/+c7d6GMFwcgBACPXv2xJtvvgmj0YipU6fi5s2bapdFZHUhISFISUmBi4sL/vznPyMnJ0ftkugnDBcHIYTASy+9hIEDByIzMxMffvghP8WRwxNCIC4uDuPHj0deXh5ef/11np5sIxguDkSn0+G9996Dl5cX5s2bh8uXL6tdEpHVubi44I033kDz5s2xevVq7Nu3jx+sbADDxYEIIdCxY0c899xzuHbtGubMmcPFfXIKoaGhePPNN1FdXY0///nPMBqNapfk9BguDkaj0WDq1KkICAjAP//5T1y4cEHtkoisTgiB0aNHIyYmBkeOHME///lPjl5UxnBxQC1atMD48eNhMBiwaNEidjJyCu7u7nj33Xeh0+kwc+ZMXLt2Te2SnBrDxQEJITBhwgR4e3tj5cqVuH79utolEVmdEAJ9+/bFiBEjcOnSJfz973/nBysVMVwcVEREBIYMGYL8/Hxs2LCBnYycgouLC1577TX4+Pjgo48+wqVLl9QuyWkxXBxU7ehFq9Vi6dKlqK6uVrskogbRtm1bPPfcc7h+/TpPalERw8VBCSHQu3dvREdH49tvv8Xx48fVLomoQWg0GkybNg2BgYFYsWIFsrKy1C7JKTFcHJhOp8MzzzyDqqoqrFy5klNj5DSaN2+OF154AT/++CM++OADjl5UwHBxYEIIPPnkk/D29saGDRtgMBjULomoQQghMGnSJDRu3Biff/45Tp8+rXZJTofh4uCaN2+ORx55BHl5ebzvBTmVsLAwvPTSSygpKeHoRQUMFwen0Wjw7LPPAgA+++wzhgs5DSEEXn75ZYSEhGDt2rUcvTQwhouDE0LgscceQ3BwMPbu3YurV6+qXRJRgwkNDbWMXnivo4bFcHECAQEBiIuLQ1FREXbs2MHRCzmN2quFBwcHY82aNTh37pzaJTkNhosTEELgmWeegUajwapVq/jpjZxKWFgYfve73+HmzZtYsGABP1w1EIaLk+jTpw+aNWuGgwcP8lL85FRq114CAgLw2Wef4eLFi2qX5BQYLk7C29sbQ4YMQUlJCdLT0/npjZxK8+bNMW7cOBQXF2PhwoVs/w2A4eIkhBB4+umn4eLigjVr1qCmpkbtkogajBACr7zyCnx8fLB8+XKe2NIAGC5OpFu3bggPD8exY8dw/vx5tcshalAREREYOXIkCgoKsHz5co5erIzh4kQ8PDwwfPhwGI1GpKamsnORU9FoNJg8eTL0ej0WLVqEH3/8Ue2SHBrDxYkIITBq1Ci4urriiy++4JWSyel07NgRsbGxuHjxItatW8cPWFbEcHEyHTt2RNu2bXHixAmcOnVK7XKIGlTtbcC1Wi0WLFiA8vJytUtyWAwXJ6PT6TBy5EhUVVVh/fr1apdD1KCEEIiJiUGvXr1w4sQJ7Ny5U+2SHBbDxckIITBixAi4u7tj/fr1/ORGTsfV1RV//OMfAQApKSmcHrYShosTioqKQqdOnXD27Fl8++23apdD1KCEEIiPj0dUVBQOHDiAo0ePql2SQ2K4OCGtVovRo0cjMDCQpySTU/L09MTLL7+MRo0a8XpjVqJVuwBHdvToUQgh1C7jtoKCgvDWW2/Bw8MDBQUFapdDDurIkSM23QfeeOMN+Pr6clOlFQjJc/Gsori42G6G202bNkVUVJTNvgmQfWIfcG4MFyIiUhzXXIiISHFcc7ETtw4wOXQnIlvHkYudyMzMhEajQWZmptqlEKnm2LFjEELg2LFjapdC98BwISIixTFciIhIcQwXIiJSHMOFiIgUx3AhIiLFMVyIiEhxDBciIlIcw4WIiBTHcCEiIsUxXIiISHEMFyIiUhzDhYiIFMdwISIixTFciIhIcQwXIiJSHMOFiIgUx3AhIiLFMVyIiEhxDBciIlIcw4WIiBTHcCEiIsUxXIiISHEMFzsgpURxcTEAoLi4GFJKlSsianjsB/aF4WLDDAYDUlJSEBkZidjYWABAbGwsIiMjkZKSAoPBoG6BRA2A/cA+Ccn4t0nbt2/HyJEjYTQaAaDOpzQhBADAw8MD69atQ3x8vCo1Elkb+4H9YrjYoO3btyMhIQFSSpjN5jt+n0ajgRAC6enp7FjkcNgP7BvDxcYYDAY0bdoU5eXld+1QtTQaDfR6PXJzc+Hn52f9AokaAPuB/eOai41Zvnw5jEbjfXUoADCbzTAajVixYoWVKyNqOOwH9o8jFxsipURkZCSys7Mf6EwYIQTCw8ORlZVlmYcmslfsB46B4WJDrl+/jqCgoHo9PiAgQMGKiBoe+4Fj4LSYDSktLa3X40tKShSqhEg97AeOgeFiQ7y8vOr1eG9vb4UqIVIP+4FjYLjYkICAAERERDzwfLEQAhEREfD397dSZUQNh/3AMTBcbIgQApMnT/5Vj50yZQoXMckhsB84Bi7o2xie30/EfuAIOHKxMX5+fli3bh2EENBo7v7nqd2ZvH79enYocijsB/aP4WKD4uPjkZ6eDr1eDyHEL4b5tV/T6/XYsmUL4uLiVKqUyHrYD+wbw8VGxcfHIzc3F/PmzUN4eHidY+Hh4Zg3bx7y8vLYocihsR/YL6652AEpJYqKilBSUgJvb2/4+/tz0ZKcDvuBfWG4EBGR4jgtRkREimO4EBGR4hguRESkOIYLEREpjuFCRESKY7gQEZHiGC5ERKQ4hgsRESmO4UJERIpjuBARkeIYLkREpDiGCxERKY7hQkREimO4EBGR4v4PzUUrpYsgc30AAAAASUVORK5CYII=\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.plot(beta=beta)" - ] - }, - { - "cell_type": "markdown", - "id": "9ee64af1", - "metadata": {}, - "source": [ - "### Indexing of layers" - ] - }, - { - "cell_type": "code", - "execution_count": 13, - "id": "4c732dfc", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "2 3\n", - "2 3\n", - "3 5\n", - "3 5\n", - "5 1\n", - "5 1\n" - ] - } - ], - "source": [ - "# KAN spline layers are refererred to as act_fun\n", - "# KAN symbolic layers are referred to as symbolic_fun\n", - "\n", - "model = KAN(width=[2,3,5,1])\n", - "\n", - "i = 0\n", - "model.act_fun[i] # => KAN Layer (Spline)\n", - "model.symbolic_fun[i] # => KAN Layer (Symbolic)\n", - "\n", - "for i in range(3):\n", - " print(model.act_fun[i].in_dim, model.act_fun[i].out_dim)\n", - " print(model.symbolic_fun[i].in_dim, model.symbolic_fun[i].out_dim)" - ] - }, - { - "cell_type": "code", - "execution_count": 14, - "id": "1f0ccc8f", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "Parameter containing:\n", - "tensor([[0., 0., 0., 0., 0.]])" - ] - }, - "execution_count": 14, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "# check model parameters\n", - "model.act_fun[i].grid\n", - "model.act_fun[i].coef\n", - "model.symbolic_fun[i].funs_name\n", - "model.symbolic_fun[i].mask" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.7" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/tutorials/API_2_plotting.ipynb b/tutorials/API_2_plotting.ipynb deleted file mode 100644 index 19ed3e99..00000000 --- a/tutorials/API_2_plotting.ipynb +++ /dev/null @@ -1,505 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "134e7f9d", - "metadata": {}, - "source": [ - "# Demo 2: Plotting" - ] - }, - { - "cell_type": "markdown", - "id": "2571d531", - "metadata": {}, - "source": [ - "Initialize KAN and create dataset" - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "id": "2075ef56", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "(torch.Size([1000, 2]), torch.Size([1000, 1]))" - ] - }, - "execution_count": 1, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "from kan import *\n", - "# create a KAN: 2D inputs, 1D output, and 5 hidden neurons. cubic spline (k=3), 5 grid intervals (grid=5).\n", - "model = KAN(width=[2,5,1], grid=3, k=3, seed=1)\n", - "\n", - "# create dataset f(x,y) = exp(sin(pi*x)+y^2)\n", - "f = lambda x: torch.exp(torch.sin(torch.pi*x[:,[0]]) + x[:,[1]]**2)\n", - "dataset = create_dataset(f, n_var=2)\n", - "dataset['train_input'].shape, dataset['train_label'].shape" - ] - }, - { - "cell_type": "markdown", - "id": "8c6add1d", - "metadata": {}, - "source": [ - "Plot KAN at initialization" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "id": "ac76f858", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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IO3fuiCMbIQERLj+58PBw7t27l4MGDWKpUqVoampKAMyUKRMbNWrEWbNm8dq1a0YJk3harZZ79+6lr68vAbBYsWLctWuX7D9ecoZLvBcvXrBfv360tramnZ0dBw8ezDdv3hi1hrCwMO7cuZP9+vVj0aJFdWHj5OTEZs2acf78+bx9+7bsn5cgL9Et9pMJDw/HiRMndN1c586dg0ajQZYsWRLc7Z03b16jd3mQxN69ezFixAicOnUKJUqUwPDhw1GtWjVFdL/I0S32La9evcKUKVMwe/ZsSJKE7t27o2/fvnB0dDR6LR8/fsTx48d13Wjnz59HXFwcsmbNmqAbLXfu3Ir4HAXjEOGSxsVv+PFhosQNnyT27NmDESNG4PTp0yhVqhSGDx+OKlWqKOrHSEnhEu/NmzeYMmUKZs2aBZL47bff0K9fP2TKlEm2mv67A3P27FnExcXpdmDiv3Ny7MAIRiTjUZNgAN/rsmjevLmiuiy0Wi137tzJYsWKEQB9fX25b98+RdT2NUroFvuW169fc9CgQbS1taW1tTX79+/Ply9fyl0WycR3vSr1cxeSRxy5pHJhYWE4duyYbi/x4sWL0Gq1cHZ21o2gW758eeTMmVMxe4kksXPnTowcORLnzp1DmTJlMHz4cFSsWFExNX6NEo9c/uvt27eYNm0aZsyYgbi4OHTt2hX9+/dX1AjKnz59wsmTJ3XdaGfOnIFarYajo2OCI5t8+fIZ7ApEwfBEuKQyqfkyUZLYsWMHRowYgQsXLqBcuXIYPnw4KlSooLhavyY1hEu8d+/eISgoCNOnT4darUaXLl0wYMAARY6crITL3QUDkPGoSUiEb93g5ubmxjZt2qSKG9y0Wi23bNnCwoULEwDLly/Pw4cPy11Wkim5W+xb3r17x2HDhjF9+vS0tLRk7969+ezZM7nL+q7IyEgeOnRId6Ouubn5V2/UNeYVjELSiSMXhXnz5g2OHj2q24u7cuUKAMDd3T3B1Vw5cuSQt9BE0Gq12Lp1K0aOHInLly+jQoUKuom1UqPUdOTyX2FhYZg+fTqCgoIQHR2NTp06YeDAgXBycpK7tB+KiorC6dOndUfrISEhiImJgb29PcqVK6fbLgoWLJjoeXoEI5A73X52iRlU8OHDh3KXmSRxcXHcuHGjbtyqihUr8ujRo3KXlWKp8cjlv8LCwjhy5Eja29vTwsKC3bt3T3XD8X9rcNT06dMbZHBUIXlEuBjZixcvuG7duq8Oh96xY8dUPRx6XFwc169frwvJSpUq8dixY3KXpTdpIVzihYWFcdSoUXRwcKC5uTl/++03/vPPP3KXlSzR0dE8duwYR40axUqVKiWY1qFGjRqcOHEiT58+LcLGyES4GNjz58/T/EROGo2Ga9euZb58+QiAVapU4YkTJ+QuS+/SUrjE+/DhA8eMGcMMGTLQ3NycXbt2TbU7N/G+NSGdnZ2dXiakExJHhIue/UxT0Go0Gq5Zs0YXmtWqVePJkyflLstg0mK4xPv48SPHjRvHjBkz0szMjF26dEkzc7zExMQYZCpt4ftEuKTQkydPuHLlSv7666/08vLShUnevHnZtWtXrl27ls+fP5e7TL3SaDRctWoV8+TJQwCsXr06T506JXdZBpeWwyVeeHg4x48fT0dHR5qZmbFTp06p7pzfj8TGxvLUqVMcP348q1evTltbW13YVK5cmWPGjOHx48cZExMjd6mpmgiXJHr8+DFXrFjBDh06MGfOnLowyZcvH7t168b169fzxYsXcpdpEGq1mitWrNAdkdWsWZOnT5+Wuyyj+RnCJV54eDgnTpzITJky0dTUlB07dmRoaKjcZRmEWq3m6dOnOXHiRNaoUYN2dnYEQCsrK1aqVImjRo3isWPHGB0dLXepqYoIlx949OgRly1bxnbt2tHDw0MXJvnz52f37t25YcMGxQyzYShqtZrLly/XHZnVqlWLZ86ckbsso/uZwiVeREQEJ02axMyZM9PU1JQdOnTg/fv35S7LoNRqNc+ePctJkyaxVq1aTJcuHQHQ0tKS/v7+HDlyJIODg0XY/IAIl/948OABlyxZwrZt2zJHjhy6MPHx8WHPnj25adMmvn79Wu4yjUKtVnPp0qW6I7Q6derw3Llzcpclm58xXOJ9+vSJU6ZMYZYsWWhiYsJ27drx3r17cpdlFBqNhufPn+eUKVNYu3Zt2tvb68LGz8+PgYGBPHz4MKOiouQuVVF+6nDRarW8f/8+Fy9ezNatWzN79uwEQEmSWKhQIfbq1Ytbtmwx+nwZcouNjeXixYvp6elJAKxXrx4vXLggd1my+5nDJd6nT584bdo0Zs2alSYmJmzTpg3v3r0rd1lGpdFoeOHCBU6bNo1169alg4MDAdDCwoLly5fnsGHDeOjQIUZGRspdqqx+qnDRarW8d+8e//rrL7Zq1Yqurq66MClcuDD79OnDbdu28d27d3KXKovY2FguWrRI1/1Xv359Xrx4Ue6yFEOEy/+LjIxkUFAQs2XLRpVKxdatW/POnTtylyWLuLg4Xrp0iUFBQaxfvz4zZMhAADQ3N2fZsmX5559/8sCBA/z06ZPcpRpVmg4XrVbLO3fucMGCBWzRogWdnZ0JgCqVir/88gt///13bt++/acNk3ixsbFcuHAh3d3dCYANGzbk5cuX5S5LcUS4fCkqKoozZsygk5MTVSoVW7ZsyVu3bsldlqzi4uJ45coVzpgxgw0aNKCjoyMB0MzMjKVLl+aQIUO4b98+RkREyF2qQaWpcNFqtbx16xbnz5/PZs2a0cnJSRcmxYoVY79+/bhz506GhYXJXaoixMTEcP78+bruwICAAF65ckXushRLhMu3RUVFcdasWXR2dqZKpWLz5s158+ZNuctShLi4OF69epWzZs1io0aNmClTJgKgqakpfX19OWjQIO7du5fh4eFyl6pXqTpctFotb968yblz57Jp06bMmjUrAdDExITFixfngAEDuGvXLn748EHuUhUlJiaG8+bNo5ubGyVJYuPGjXn16lW5y1I8ES4/Fh0dzdmzZ9PFxYWSJLFZs2a8ceOG3GUpilar5fXr1zl79mw2btyYmTNn1oVNyZIlOXDgQO7evZsfP36Uu9QUSdXhEhsbSxsbG5qYmKSpD8XQRo0aRUmS2LRpU16/fl3uclINES6JFx0dzblz59LV1ZXp0qVL811AKfH5TnKTJk10O8njx4+Xu7QUUeSQ+yNHjoSrqyvs7e0Nto43b97g119/NdjyjW3kyJEoUKDAVx+LiYmBSqWCmZlZitaR1toM+Lfd3NzckD59+kQ9X6vVJnnCqrTWbp9/1+Li4hAbGwuSMDc3h6mpqV7WkdbaDPj2NhoZGQkrKyu9TJinpHbTzzdBz65fv46VK1eibt26aNu2LXLlyqX3dTRr1kwxH4I+3LhxA4MGDfri75s2bUJQUBCsrKywfPnyFM1E2Lx58zTVZsC/7bZ69WpUqlQJ9erVQ8mSJWFhYfHV536+H5aUH4K01m7Xr19HwYIFcfz4cVy9ehWvXr2CVquFvb09ihYtisaNG6NQoUIp+rFMa9sn8G+7fb6NhoeHY8iQITh58iSKFCmC2bNnp3gHUEntpshwkSQJkydPxpIlS1C5cmUEBARg4MCByJYtW6qYDlcOkiQl+GJqtVqMHj0aQUFBGD9+PC5dugR/f3/cuXNHtOFn4r9r27ZtQ6dOneDi4oLevXujVq1aMDc3l7s8RZIkCX/++Sd++eUX1KxZE25ubjAzM8Pz589x6NAh1K1bF3Xq1MH48ePh4OAgd7mK8fk2Gh4ejooVKyJjxowYO3Yshg0bhrZt22LdunVpZvtUZLgAQJ06dVCzZk2cO3cOo0aNQsmSJTFhwgQ0adJEzKP9A1FRUfjtt99w4MABHDx4EIUKFQJJWFhY4N69e/Dy8krUckimmS/699SqVQs1a9bE8+fPsXr1avTv3x/z5s3D+PHjUbhw4Z+iDZLq2LFjSJcuHYCER3Ht2rXDjRs30KdPH5QuXRrbt29Hzpw55SpTkWJjY1GxYkU4OTlh8+bNsLCwQJkyZWBvb4958+YhQ4YMcpeoF4r+lTYxMUGJEiWwdetWjBs3Dn369EHnzp0RGRkpd2mKRBK3bt1CpUqVcOPGDYSEhOh+HFUqFbp3744mTZokalkPHjzAmDFjsGDBAty8eRPnz583cPXykiQJTk5O6Nu3L06ePAkfHx9UrVoV48aNg1qtlrs8xUmfPj0kSfoieFUqFfLnz49du3ahWrVq8PX1xa1bt2SqUnk0Gg0aNWoEktiyZYuuCzZ9+vRo1KhRorfP1EDR4RLP1NQUzZs3R0hICK5du4ZKlSrhzZs3cpelOIMHD4afnx8KFSqEgwcPwtnZOcHjY8aMwaVLl/CjazhiYmJQqlQpXLt2DWvXrkXt2rXRrFkzQ5auGJIkIUuWLJg0aRK2bNmCFStWoG7duuL7lkTm5uaYMmUKunbtijJlyuDJkydyl6QIjRs3RmhoKA4dOvRFt+vixYtx4MCBH26fqUWqCBfg343e3d0dBw8ehIuLC3x9ffH8+XO5y1KU27dvY82aNZg1axZsbGy+eNzKygoAfrgn3rlzZ3h4eGDVqlXYs2cP9u/fj+DgYIPUrFSSJKFMmTI4ceIELC0t4evri7t378pdVqoiSRICAwPRrFkzlC5dWvQ4AIiIiMCxY8dgZ2f3xWO2trYwMTHB/fv3ZahM/1JNuMSztrbG6tWrUa5cOZQqVQovXryQuyTF2LBhAypUqPDNcwSSJCFjxozYvHnzN5dBEsuXL8e2bdtgYmICc3NzuLu7I1u2bIYqW9EyZMiA9evXo169eihdujQuXLggd0mpiiRJmD59OnLnzo0aNWqkmb3y5Nq1a9c3L3KQJAlt2rRB27ZtjVuUgaS6cAH+7SZbsGAB/P39Ubp0aYSFhcldkiKYmJj88Dm9e/fG8OHDv/n4y5cvIUkSHB0d9VlaqmZqaooJEyagb9++8Pf3T/Pnn/RNpVJh+/btuHv3LoYNG/ZTB8yPLjWePHkyTpw4YaRqDCtVhgvw7xd24cKFKFSoEMqXL4+YmBi5S0oVunXr9t3unf79+8Pf319cIfUfkiRhwIABGDZsGPz9/XHjxg25S0pVLC0tcezYMYwbNw6nTp2SuxzFir9xPDY2Vt5C9CDVhgvw75762rVrYWtri7p160Kr1cpdkuLFf3m/tfe4bt06BAUFGa+gVESSJPTp0wf9+/dHuXLl8OzZM7lLSlU8PDywYMECVK1aFVFRUXKXo0iSJCFr1qxYtmyZ3KWkWKoOF+Dfw8x9+/bh1q1b6NOnz099yJ0Y8UckX9szIgmNRgNvb29jl5VqSJKEIUOGoGnTpihTpow4SZ1E7dq1Q7FixdCgQQOxrX7D1KlTvzraRmqT6sMFAGxsbHDixAksWrQIS5cuFV/aH7Czs8PBgwe/+Ht0dDSApA1t8jOSJAkzZsyAl5cXatSoIY6Yk0CSJOzYsQOHDx/Gnj175C5HkQICAvD27dtU/zuWJsIFAJydnbF371506tQJFy9elLscRWvWrBnGjh37xd83btyITJkyyVBR6qNSqbBt2zY8evQI/fv3T/U/BMZkbW2NDRs2oEGDBmni3IK+xQ/+GRERIXMlKZNmwgUAfH19MXXqVPj7+4sryL6jb9++OH369Bd/Hz16NHr27ClDRalT/Enq2bNn4++//5a7nFSlVq1aKFiwINq2bSuC+Svy5cuHcePGyV1GiqSpcJEkCd27d0e1atVQoUIFxMXFyV2SInl6en61be7evYuuXbvKUFHq5eLigvXr16NRo0biLv4kkCQJe/bswdq1a/HgwQO5y1GcOXPmJOnCGq1WizNnzhiuoGRIU+EC/PulXbFiBSIjI9G1a1exV/QV8QN/ft428f8tRrFNutq1a6NFixaoUKGC+L4lgb29PYYOHQp/f3/Rbv9RpkwZREVFJapdSCIwMBCtWrUyQmWJl+bCBfj3CrKjR49i1apVWL16tdzlKJKJiUmC+13i+3fFyfykkyQJ8+bNw/v37zFq1Ci5y0lVAgMD8erVK+zevVvuUhRFpVIleiiYM2fOYOzYsYprwzQZLgCQJUsW/P3332jbti1u3rwpdzmKU65cuQQn9RctWoTs2bPLWFHqZmpqiiNHjmDkyJFpZmwoY1CpVFi3bh0CAgLE0ct/tGzZEh06dPjuc54+fYpKlSph7ty58PDwMFJliZNmwwX49wd05MiRKFeuXKq/8kLfRo4cifXr1+v+f8KECd8dFkb4sZw5c2Lo0KHw8/MTlycnQa1atWBjY4O5c+fKXYqiTJ06FUePHv1m6H78+BGlS5dG27Zt0bFjRyNX92NpOlwkScIff/yBkiVLokqVKmKD/0zJkiURHR0NkiCJly9f/jTD6hvSsGHDoFKpMHLkSLlLSTXiT+736tVLbKOfcXBwgCRJXx2cV61Ww9/fHwULFsT06dMV2Z2dpsMF+PeLu3HjRrx8+RI9evQQh97/Ez/IZVRUlG4IfjGtb8qpVCocOnQIo0aNwsuXL+UuJ9UoXLgwsmbNikmTJsldimJIkoTWrVujcePGCf5OEk2bNgVJbNiwQbEz8yp2mmN9srCwwPHjx5ErVy4UKlRIkYeQcvD29sbYsWNhY2MDd3d3Re79pEaenp7o2rUrKlasiKtXr8pdTqogSRL27t0LHx8f9O/fX+5yFGPOnDmwsbHBu3fvkCFDBpDEoEGDcPLkSdy6dUvRO4Q/RbgAQLZs2bBv3z6UL18eefPmlbscRVi1ahWKFy8OSZJw9OhRuctJU4KCgmBvb//duXOEhPLmzYtMmTJh1qxZcpeiGNbW1mjZsiX8/f2xaNEiLFu2DGvWrMHp06eRPn16ucv7LsWGiyG6r0qWLIn58+ejS5cuyJMnj96XL7ektpmPjw+KFSsGAChWrNhP22VoiPdtYmKCLVu2oE+fPmlyZ8ZQ35Vdu3ahRYsWyJcvn0GWL7fktNvixYvRunVrNG/eHDly5MDJkyfh7u6u+O1VkeHi6OiIrVu3GmTZ9vb26NGjB16/fm2Q5csluW3222+/AUCiXluwYMEkL1/pDPldA4A+ffqkuem4Dd1m/fr1S3NtBqSs3Ro1agQ/Pz9kyJAB165dw7Vr1776vEKFCiW/QD2TqMD402g0Bl+HJEmJmrkxtRBtljyi3ZJOtFny/GztpshwEQzr849cnMRPPNFugpB4yryGLQkuXLgASZJw4cIFuUtJNS5evAiVSiWmJkgi0W5JJ7bP5EkL7Zbqw0UQBEFQHhEugiAIgt6JcBEEQRD0ToSLIAiCoHciXARBEAS9E+EiCIIg6J0IF0EQBEHvRLgIgiAIeifCRRAEQdA7ES6CIAiC3olwEQRBEPROhIsgCIKgdyJcBEEQBL0T4SIIgiDonQgXQRAEQe9EuAiCIAh6J8JFEARB0DsRLoIgCILeiXARBEEQ9E6EiyAIgqB3IlwEQRAEvRPhIgiCIOidCBdBEARB70S4CIIgCHonwkUQBEHQOxEugiAIgt6JcBEEQRD0ToSLIAiCoHciXARBEAS9S9XhQhLv378HALx//x4kZa5I+USbJY9ot6QTbZY8aabdmAq9f/+eQUFB9PT0JADdP09PTwYFBfH9+/dyl6g4os2SR7Rb0ok2S5601m6pLlz27NlDGxsbSpJESZISfAjxf7OxseGePXvkLlUxRJslj2i3pBNtljxpsd1SVbjs2bOHJiYmVKlUCRr/v/9UKhVNTExS1QdhKKLNkke0W9KJNkuetNpuEpk6OvTCwsLg4uKCqKgoaLXaHz5fpVLBysoKT548gb29veELVCDRZskj2i3pRJslT1put1RzQn/ZsmWIjIxM1AcAAFqtFpGRkVi+fLmBK1Mu0WbJI9ot6USbJU9abrdUceRCEl5eXggNDU3SlROSJMHDwwN3796FJEkGrFB5RJslj2i3pBNtljxpvd1SRbi8efMGmTJlStHrM2bMqMeKlE+0WfKIdks60WbJk9bbLVV0i0VERKTo9eHh4XqqJPUQbZY8ot2STrRZ8qT1dksV4WJra5ui19vZ2empktRDtFnyiHZLOtFmyZPW2y1VhEvGjBnh6emZ5P5FSZLg6emJDBkyGKgy5RJtljyi3ZJOtFnypPV2SxXhIkkSevTokazX9uzZU9EnvQxFtFnyiHZLOtFmyZPW2y1VnNAH0vb14IYi2ix5RLslnWiz5EnL7ZYqjlwAwN7eHps2bYIkSVCpvl+2SqWCJEnYvHmz4j8AQxJtljyi3ZJOtFnypOl2M/aQACmV2DF49u7dK3epiiHaLHlEuyWdaLPkSYvtlurChfx39NDp06d/dfTQ6dOnMywsTO4SFUe0WfKIdks60WbJk9baLVWGSzytVsuDBw8SAA8ePEitVit3SYon2ix5RLslnWiz5Ekr7ZZqzrl8jSRJur5He3t7xV89oQSizZJHtFvSiTZLnrTSbqk6XARBEARlEuEiCIIg6J0IF0EQBEHvRLgIgiAIeifCRRAEQdA7ES6CIAiC3olwEQRBEPROhIsgCIKgdyJcBEEQBL0T4SIIgiDonQgXQRAEQe9EuAiCIAh6J8JFEARB0DsRLoIgCILeiXARBEEQ9E6EiyAIgqB3qTZcIiIicOfOHVy9ehUA8OLFC8TGxspclfJFRETg0aNHAICbN2/in3/+Ee32A2q1Gk+fPsXNmzcBAPfv38e7d++g1WplrkzZxHct6dLS75pEknIXkRShoaH466+/sH37dvzzzz9Qq9WIiYlBunTpULhwYbRp0wYNGjSAnZ2d3KUqyuft9ujRI0RFRcHc3Bw2NjYoUKCAaLevCAsLw6ZNm7Bq1Spcv34d4eHhiI2NhaWlJTJlyoSyZcuiQ4cOKF26NExNTeUuVzHEdy3p0uLvWqoJl7i4OKxZswaDBw9GVFQUqlevjsqVK8PNzQ1arRb37t3D7t27cfjwYRQpUgQzZ86Et7e33GXLTrRb8oSEhKBPnz64cuUKihUrhpo1a8LHxwe2trYICwvD+fPnsWPHDty7dw9NmjTB6NGjkSlTJrnLlpX4riVdmm4zpgJxcXGcPXs2bWxsWL16dV6+fJkajYYnT57k9OnTOX36dN68eZOxsbEMDg5m0aJFmTt3bl69elXu0mUl2i159u7dy2zZstHLy4sbN25kZGQkw8LCOG/ePE6fPp1LlixhVFQUP378yAULFtDJyYmVK1fmixcv5C5dNuK7lnRpvc1SRbgcPnyY9vb2bNSoEd+9e0etVkuSHDp0KAEQAFesWEGS1Gq1fPToEX19fVmmTBm+f/9exsrlJdot6W7fvk13d3fmz5+f165d07XZ/fv3mT59egKgu7s73717R/Lfdjt69ChdXFzYsmVLRkdHy1m+bMR3LenSepsp/oR+VFQURo4ciSxZsmDatGmwt7eHJEnffL4kSXB1dcXMmTNx584drFy50ojVKodot6SLi4vD2LFj8f79e8yaNQve3t7fbTPg33YrU6YMJk6ciG3btmHPnj1GqlY5xHct6X6GNlN8uJw/fx6nTp1Ct27d4Ozs/MONHfj3gyhUqBAaN26MpUuXIjIy0giVKotot6S7d+8eduzYgQYNGqBMmTKJajPg33arV68eSpYsiYULF0Kj0Ri4UmUR37Wk+xnaTPGXuBw5cgQWFhaoVKkSbt68mWDDffnype6/Hz9+jCtXruj+397eHvXq1cPKlSvx8OHD1HMSTE9EuyXdyZMnERERgYYNG+Lhw4f49OmT7rEnT54gLi4OABAbG4vr168jXbp0usednJzQoEEDBAYG4sWLF3BxcTF6/XIR37Wk+ynaTO5+uR9p2bIlc+XKxTt37tDNzY2Wlpa6f6amprq+STMzswSPtWvXjg8ePKCjoyN3794t99swOtFuSTdgwADa29vz5s2brFixYoJ2sbCw0LWZJEkJHrOysuKcOXN47Ngx2tnZ8fTp03K/FaMS37Wk+xnaTNFHLiQRHR0NCwsLmJiYIDo6GtHR0V99rlqthlqt1v1/bGwszM3Nda/7mYh2S56oqCiYmprCwsICMTEx33z/8e37OY1GAysrK5BETEyMMcpVBPFdS7qfpc0UHS6SJMHR0RFnzpxBXFwcKlSogLCwMN3jd+/eRWhoKACgQIECcHJy0j3m4+ODsLAwhIeHY/DgwThy5AhKlSqFkiVLws3NLdH96amRPtotKipK1w30s8icOTOioqIQFhaGEiVKwMbGRvdYVFQUTp48qQsRX19f3Y2TkiTBzc0Nr169gkqlgoODg1xvwajUajVCQkJw//59hIWFJfu7FhMTgwwZMhi7fKOKiorChQsXEBISglOnTmH37t3IkCFD2m4zOQ+bEmPhwoW0srLi0aNHqdFoEvwbPHiw7vBx2bJlCR6Li4vj0qVLmS5dOtavX58eHh6652bLlo3169fnxIkTefToUUZGRsr9NvUupe0mSRIB0MfHhwMHDuThw4cZGxsr99symOfPn7NNmzaUJInz5s37os3u3LmjuxQ5R44cfPPmzRftNnDgQLq6uvLt27dyvx2D+eeff7hw4UI2aNCA6dKlIwDa2trSwsIi2d+1rFmz8smTJ3K/Nb3RarUMDQ3l6tWr2aNHDxYrVoxmZmYEQGtra5YvX57VqlWjpaVlmm4zRR+5AIC/vz/s7OywbNkylCpVKsEwGyqVKsF/m5iY6P4/MjISy5cvR5UqVbB27VqYmJjg1atXOHXqFE6dOoWQkBAEBgYiMjISpqamKFiwIEqVKqU7unF3d0/VRzcVKlSAubl5stutdu3aaNy4Mfbt24clS5ZgwoQJsLOzQ6VKlVCtWjVUr14drq6uRn1P+hYXF4f9+/frht0wMTFBunTpsGzZMjRr1izBCfvP20iSpATtRhLPnj3Dhg0b8Pr1a1SqVAmtW7dGs2bNkCVLFqO/L32KjY3F8ePHsWfPHuzevRvXrl2DSqVCyZIl0a9fP1SvXh329vYoXbp0sr9rZcqUQdasWY36vvTp06dPOH/+vO6oJCQkRHdSPmfOnChVqhTatm2LUqVKoUCBAjA1NUVoaChKlSqVtttM7nT7kbi4OPbp04d2dnbcuXOn7kYj8us3G8W/Zvbs2XRwcGBwcPA3l61Wq3nx4kXOnTuXrVu3ppeXl255mTNnZp06dThu3DgePnyYERERBn2f+vTs2TM2b96c1tbWtLW1TXG7xcXF8dy5cxw9ejRLly5NlUpFAMyXLx/79u3LAwcOpKqbB588ecJRo0YxR44clCSJPj4+nDlzJt+9e8dZs2bRwsKCo0aNolqt1r3mWzdRkmRUVBQ7d+5MJycnbtiwgd27d6eLiwuzZMnC1q1b88CBA9RoNHK81WR5+PAh586dy7p169LW1pYAmCVLFrZp04Zr16794sgsJduoqakpBw0alOA1SqbVann37l2uWLGC3bp1Y5EiRWhiYqI7gvP39+fgwYO5Y8cOvn79+pvLMeTvmlIoPlzIf7ssihUrRldXVx44cIBxcXEkyWHDhtHU1JRmZmZcuXIltVot1Wo1V6xYQUdHRw4ePDjJG/WbN2+4c+dODh06lBUrVqSdnR0B0MTEhIUKFWLXrl25bNky3rlzR3EbhFar5Zo1a+jl5UUfHx+uXr3aIO327t07rlu3ju3atWO2bNkIgDY2NqxduzbnzJnDBw8eGOkdJ55Go+HOnTtZt25dmpqa0sbGhh06dGBISEiCzzEiIoKNGzemra0tp0yZwsjISGq1Wt6/f58ZM2akqakpc+bMqbuj+sOHDxwwYADTp0/PxYsX65YTFhbGv/76i+XKlaOjoyMLFSrEyZMn89mzZ3K8/e+Kjo7mvn372KdPH+bNm1f3fS9btizHjBnDCxcu6L4735LcbTR//vwEwBo1aiiymyc8PJwHDx7kmDFjWKtWLTo6Oup++HPnzs22bdty3rx5uqFbksKYv2tySBXhQpLXr19nkSJFmCFDBg4ZMoT37t3jnTt3eOTIER45coSPHj3ilStX2KVLF6ZPn56//fYbP336lOL1ajQaXrlyhQsWLGC7du10Gx8AZsyYkTVr1uSoUaN44MABfvjwQQ/vNHmePn3KZs2aMUuWLOzRowfDwsJIGr7dtFotL168yHHjxrFcuXK6vbjcuXOzd+/e3Lt3L6Oiogz1tn/o8ePHDAwMpJubGyVJYuHChTlnzhxd+3zNq1evGBAQQCsrK9arV4/BwcF89eoVjx07xuDgYIaEhPD169fctWsXK1SoQAcHB86cOfOrG7xWq+X58+fZq1cvurq6MnPmzGzRogX37t2b4MjI2O7fv89Zs2axZs2atLa2JgA6OTmxQ4cO3LBhQ7KGF0nud2379u3Mli2bLqDl2mnTarW8desWlyxZws6dO9PHx0d3lJ4uXTpWrlyZw4YN499//62382qJbbNOnTrp9XfNGFJNuJD/nkyM33t0dHRkuXLl2KJFCzZt2pQlS5akg4MDc+bMyYULFxq0m+bdu3fcs2cPhw8fzqpVq+q6SyRJYoECBfjrr79y8eLFvHHjxg/3+FJKq9Vy5cqVzJkzJwsVKsT9+/d/8ZwnT56wc+fOtLe3N3i7hYWFcdOmTezYsSOdnZ0JgFZWVqxRowZnzpzJu3fvpmj5iaFWq7lt2zbWqlWLJiYmtLW1ZadOnXj27NlE/3BFRERw2rRpdHd3p7W1NfPnz8/69euzdevWrF27NnPlykVbW1uWL1+ehw4dStTn/PHjRy5ZsoQVKlSgo6MjfXx8OH78eP7zzz8pfcs/FBkZyd27d7Nnz5667l9TU1P6+flxwoQJvHz5sl5+1JP7XXv37h3btm1LAKxatSofP36c4lp+JCwsjPv27eOIESNYvXp1Ojg46LbjfPnysUOHDvzrr7947do1g27HP2oze3t7AmD37t1TVfdzqhlyHwC2bduGevXqYfHixXj16hXOnDmDV69ewczMDO7u7qhQoQKqVKmCzJkzG7UurVaL27dvJzihd/36dZCEvb09SpYsiZIlS6JUqVIoXrw47O3t9bLep0+f4vfff0dwcDCaNWuGwMBApE+f/qvPjYuLw82bN7Fr1y6jtRtJXL9+Hbt378bu3btx/PhxqNVq5MyZE9WrV0f16tVRvnx5WFtb62V9Dx8+xOLFi7F48WI8e/YMRYsWRceOHdGsWbNkz4Px4sULHDx4EMHBwQgNDUV0dDQcHByQP39+VKlSBSVKlEhW/ZcvX8by5cuxadMmREZGomLFimjVqhUqV64MMzOzZNX6OZK64dp3796NI0eOIDo6Gq6urrq29/f3T3DRgr6k5Lu2e/du/Prrr/j48SOmTJmCjh076uXCGq1Wi1u3biXYRm/cuAGScHBw+GIb/dZ2ZCjfazM/Pz/MmTMHsbGxOHfuXOq50EjOZEsKrVbLQoUK0c/PL8Hf1Gq1IvsfP3z4wP3793PkyJGsUaMGM2TIoOtO8/b2Zvv27blw4UJevXo1yXtFWq2Wy5Yto4eHBwsVKsSDBw8m+fVytNvHjx+5detWdu7cmW5ubgRAS0tLVq1aldOmTeOtW7eSvPccGxvLTZs2sXr16lSpVEyXLh27du3K8+fP671+jUZDtVqt173YiIgIrlixgpUrV6ajoyPz5cvHMWPG8NGjR8la1s6dO/nbb7/pLr03NzdnxYoVOXnyZF6/ft3oXU7J+a6FhYWxQ4cOBMDKlSvz4cOHSV7vu3fvuHv3bg4bNoxVqlTR9S6oVCr6+PiwU6dOXLJkCW/evGnw3oWk+lqbHT58mAC4detWGStLmlQTLps3byYAHjlyRO5SkkWr1fL27dtcunQpu3TpwoIFCyboz61UqRL//PNP7tq167v9uY8ePWLDhg2ZJUsW9uvXjx8/fjTiu9AfrVbLGzducMqUKaxcuTLNzc11V2J17dqV27dv/+4Vevfv3+fgwYOZNWtWSpLEkiVLctGiRQwPDzfiu9Cvq1evcsCAAXR3d2emTJkYEBDAHTt2fPP+ov+2YfwQNTly5NC1YWpujz179tDV1ZW2tracO3fuN0NAo9Hw8uXLnD9/Ptu2bcs8efIkOC9aq1Ytjh49mgcPHky12wtJ+vn5sVChQoq7kOhbUkW4xMXF0cfHhxUqVJC7FL0KDw/noUOHOHbsWNauXTvBlSi5cuVimzZtOHfuXF66dIkxMTFcvHgx3d3dWaRIkVQbst8SERHBHTt2fHevOzo6muvXr2flypUpSRLt7e3Zo0cPXr58We7y9erTp09cvXo1q1WrRkdHR+bNm5ejRo3igwcPGB4ezq1bt7JLly7Mnj07AdDCwiJFR39K9uHDB3bq1IkAWKFCBYaGhvL169fcsWMHhwwZQn9/f93l0iYmJixcuDC7devG5cuX8+7du2mqLY4cOUIA3Lx5s9ylJEqqOOeyadMmNGrUCEePHkXZsmXlLsdgSCI0NFTXJ3zq1ClcunQJcXFxMDExgUqlwi+//II+ffqgQoUKaXZaXZK4e/eu7sa9w4cPIyYmBiqVClqtFnny5EGvXr3QunVrvZ2vUaobN25g6tSp2LJlC8LDw6HRaEASnp6eqFGjBqpVqwY/P7802w4ajQZXr17F0qVLsWjRIkRGRiL+Jytz5swJbnwuWrRogiF70iJ/f3+8ffsWFy9eTHCzpRIpPly0Wi0KFSqEzJkz48CBA3KXY1RarRZz587F6NGjYWpqCg8PD9y5cwcvXrwAAHh6euo2rPi7f/VxMlgJYmJisGXLFixcuBCHDh2Cra0tcubMiffv3+PRo0cwNTVFmTJldCen8+fPn3pOdP7Ax48fceDAAezevRt79uzBkydPYGlpiTx58kCtVuPZs2fInDkzmjZtilatWsHT01PukvXm5cuXCUbROHv2rG4UjQIFCujCpkSJEli5ciVy5swpd8lGdezYMZQrVw6bNm1CgwYN5C7n++Q7aEqcDRs2EACPHz8udylGdf/+fdapU4dZsmThoEGDdOcftFotHzx4wDVr1rBnz54sXry4btwiKysrlitXjgMGDOCWLVv4/Plzmd9F0t28eZN9+/alo6MjJUli+fLluXLlygTjv927d093j4aVlRUB0NnZmR06dODGjRu/ew+LEmm1Wl66dEl3r1D8kOuf3yv0+fu/desWhwwZQi8vLzo6OrJu3brcuHFjqrpMlfz3YoyzZ89yxowZbN68Od3d3ROM/9egQQNOmjSJx44dS/D+Dx06RHd3d1pZWTEoKEhxJ+QNrWLFiixQoIDi37eiwyUuLo758+dn5cqV5S7FaDQaDefNm8fs2bOzRIkSPHny5A9fExUVxRMnTnDy5Mls1KiR7v4S/O/kbtOmTTl9+nSePn2aMTExRngXSRMZGckVK1awfPnylCSJjo6O7Nu3L2/evPnD10ZFRX3z7vKxY8fywoULiux3f//+PdevX//NUQ5CQ0N/uIzo6Ghu3LiRderUoaOjI728vDh06FDevn3bCO8g6Z4+fcpNmzaxX79+LFOmDC0tLXXn1kqWLMnevXtz3bp1fPTo0Q8/s/DwcPbo0YMAWKZMGd65c8dI70J+x48fJwBu2LBB7lK+S9Hhsm7dOgLgiRMn5C7FKO7du8eaNWsya9asHDp0aIruxP3nn3+4fv16/v777yxVqpTuaiwLCwv6+vqyb9++3LBhg6xDbly7do29e/dmhgwZKEkS/f39uWbNmhTtgT948IBz585lnTp1aGNjQwDMmjUr27Zty7Vr1yYYE8yY4uLieP78ed34bPEjGXh7e+tlfLa7d+9y2LBhzJUrFx0dHVmzZk2uW7dOttERoqOjGRISwmnTprFx48a6S88B0NXVlY0bN+bUqVMZEhKSovcdHBxMT09PWlpacsqUKYq8LcEQKleuzPz58yv66EWx4aLRaOjt7c0qVarIXYrBaTQazp49m25ubixVqhRPnTql93VER0fz1KlTDAoKYpMmTXRXGgGgi4sLAwICOHXqVJ48edKg3SufPn3i0qVLWbp0aUqSxMyZM3PAgAEG2duOiYnhwYMH2a9fP90YViqVir6+vhw5ciTPnj1r0I3zzZs3XL16NVu3bs0sWbLoBjesV68e58+fn6x7WX4kJiaGW7ZsYf369eno6EhPT08OGjSIN27c0Pu6Pvf48WOuX7+effr0+WJnpnTp0uzXrx83btxokJ2ZT58+sXfv3pQkiaVKlUrUEW9qd+LECQLgunXr5C7lmxQbLmvWrCEAhoSEyF2KQd25c4fVq1dn1qxZGRgYaNS5ZZ4+fcrNmzezf//+X3RTlChRgr179+batWsT1U3xI5cvX2aPHj1ob29PSZJYuXJlrl+/3qjddI8fP+aCBQvYoEED3YCkmTJlYsuWLblq1arvjmKbGHFxcTx9+jRHjBjBkiVL6u5j8vHx4YABA3j48GGjvt/Q0FCOHDmSefLkoaOjI6tXr841a9ak+DsWFRXF48ePc/LkyWzYsOEX3bDNmjXj9OnTeebMGaO+3+PHj9PLy4sWFhacOHFimj+KqVKlCr29vRX7PhUZLhqNhnnz5mW1atXkLsVg1Go1Z8yYQVdXV/r6+vLs2bNyl6Q7wTpz5kw2b978iwnWGjRowIkTJ35xgvVbIiIiuGjRIpYsWZKSJDFr1qwcPHgw7927Z4R3832xsbE8cuQI//jjDxYsWFA3plSJEiU4fPhwnjp1KlEb7atXr7hixQq2aNFCd59S+vTp2ahRI/7111+KGOk3JiaG27dvZ0BAAB0dHenh4cEBAwbw2rVrP3xt/AUkq1evZs+ePRNMfBV/AcnAgQMVcwFJZGQk+/XrR5VKxeLFi/P69etyl2QwISEhBMC1a9fKXcpXKTJcVq9eTQA8ffq03KUYxM2bN1mlShVmy5aNI0eOlHXU4B958eIFt23bxj/++IN+fn66EXRNTU1ZtGhRdu/enatWreL9+/d1RzcXLlxg165dmS5dOqpUKlavXp2bNm1S9EyWT58+5eLFixkQEKAbKiRjxoxs1qwZly9fzpcvX5L8d8fn5MmT/PPPP1msWDHdjJ2FCxfmoEGDePToUUW/z4cPH3L06NH09vamo6Mjq1SpwhUrVuiuRvz06RODg4M5fvx41qtXj1mzZtXtYOTMmZMtW7bk7Nmzef78eUW/z5CQEObJk4fm5uYcO3asrCNQG1K1atWYN29eRR69KC5cNBoN8+TJwxo1ashdit7FxsZy2rRpdHFxYdmyZQ0y/pWhxU+wNmfOnC8mWLOzs9ON4JoxY0YOHDhQkXO7/Iharebx48c5ZMgQFilSRPf+HBwcdF2H9vb2bNKkCZcuXarIOVp+JDY2ljt37mTNmjVpZ2dHOzs7Zs6cWdeV99+Jr169eiV3yUkWFRXFgQMHUqVSsWjRorx69arcJend6dOnCYCrV6+Wu5QvKC5cVq5cSQA8c+aM3KXo1fXr11mpUiU6OTlxzJgxqe6ehK/RarU8e/YsW7duTUtLS91lxPE/wPHDcXTt2pXLly9X5ARrX6NWq3ns2DEOHjyYhQsX1oVLhgwZdPfVODg4sHHjxlyyZEmqCZf44YbGjBnD2rVrM1OmTLr35ujoSAcHB9ra2rJ48eJcvHhxqh6H63OnT5+mt7c3zczMOGrUKEUfcSVHjRo1mCdPHsUdvSgqXNRqNXPlysWaNWvKXYrexMbGctKkSXRxcWH58uV56dIluUtKsbCwMM6ZM4eFCxemJEl0dXVlYGCg7uqnxEywNnr0aB44cEAxP2BPnjzhokWL2KhRowTdYs2bN+eKFSsSdIuFhIRw2LBhCbrFChUqxEGDBjE4OFgRP17xE18tXbqUnTt3/mKg1MqVK/PPP/9MMPGVWq3mnj172Lx5c2bOnJlubm7s3bu3Yu8VSoro6GgOHjxYt8OTFrbDePFHLytXrpS7lAQUFS7Lly8nAEWc3NaHq1ev0t/fn05OTpwwYYIib2BMLK1Wy5CQEHbo0IE2NjY0NTVl3bp1uXPnzkTtMcUPgT58+PAEQ6DHT7DWqVMnLl682GhDoMfGxvLw4cMcOHAgfXx8EpzQDwwM5OnTpxN9Qn/lypUJTuinS5eODRs25MKFC40yERj5/xNfjRw5ktWrV/9iiocOHTpw4cKFiZ746unTp5w0aRILFixIR0dHli9fnosWLZJ1tlV9OHfuHPPnz09TU1MGBgam6m3yczVr1mSuXLkUdW5JMeGiVqvp5eXF2rVry11KisXGxnLChAl0dnamv78/r1y5IndJyfb+/XvOnDmTPj4+lCSJOXLk4KhRo1J8FVRcXByvX7/ORYsWsWPHjsyfP7/uKMDBwYHVqlVjYGAg9+7dm6wpd7/m8ePHnD9/PuvXr6+7FDlz5sxs1aoVV69ezTdv3qT4PZ05c4YjRoxgqVKldEcKBQoUYP/+/Xno0CG9/JjFt91ff/3Fjh07Ml++fLq2s7e3Z7Vq1ThixAi9tJ1Go+H+/ft19+q4uLiwe/fuPHPmTKo9momJidHNU+/j48MLFy7IXVKKnT17lgC4YsUKuUvRUUy4LFu2jABS5Unuz12+fJl+fn50dnbmpEmTFNFFklRarZbHjx9nmzZtaGVlRVNTUzZs2JC7d+82aL9uWFjYVydYkyQpWXvf0dHRPHDgAPv27ct8+fLpbqIsXbo0R40axXPnzhn8Jso1a9awTZs2CW6irFu3LufNm5fomyi/ddRn7Imvnj9/zqlTp7Jw4cJ0dHRk2bJluWDBAr2Fv7FduHCBBQsWpImJCYcOHZrqz4PWrl2bXl5eijl6UUS4qNVq5syZk3Xr1pW7lGSLiYnh2LFj6eTkxEqVKiXqHgKlefv2LadNm6bbE/bw8ODYsWNlO2H9+QRriT1v8ODBA86ZMyfB8C/ZsmVju3btuG7dOtmHfxkzZgzLlCmTYPiX33//nfv372d0dLTufNX8+fPZrl27Lya+ij9fJefEV3FxcTx06BDbtm3LrFmz0tnZmd26deOpU6dS3dFMTEwMR4wYQVNTU+bPnz9Vd8mfP3+eALhs2TK5SyGpkHBZsmQJAaTaw9OLFy+ybNmydHFx4dSpU1PV0YpWq2VwcDBbtmxJS0tLmpmZsXHjxty/f78ixy36+PFjgiuePp9gLX7IEUmSWKRIEY4ZM4YXL15U5A/e+/fvuWHDBjZv3lx3hKZSqXSho1KpUsWVdi9fvmRQUBB/+eUXOjo60tfXl3Pnzv3ubKpKdPnyZRYpUoQmJiYcNGhQqj2KqVu3LnPmzKmIoxfZwyU2NpYeHh6sV6+e3KUkWXR0NEeNGsVs2bKxcuXKBh+/SZ9ev37NyZMnM0+ePJQkiV5eXpwwYQJfvHghd2k/dO/ePc6cOZM1atTQXfbs4OBAb29venh46H6gbW1tWaFCBQ4ePJjbt2+X/V4NtVrNCxcucM6cOWzVqlWCe4QyZMhAb29vuru76+rPlSsXe/XqxT179hh1WKDkiIuLY3BwMDt06MBs2bLRycmJnTt35vHjxxUZil8TGxvL0aNH08zMjN7e3qnyJu4LFy4QAJcsWSJ3KfKHy6JFiwgg1V0aeO7cOZYuXZouLi6cMWOGIvYUfiQuLo4HDx5k06ZNaWFhQQsLCzZr1oyHDh1S9A/Ap0+f+Pfff7NHjx7MmTMnAdDMzIwVKlTgxIkTefXq1QT1x99lPmHCBNarV093vgMAPT092bJlS86aNYvnz5836Of28uVLbt26lX/88QfLly//xegGPXr04KpVqxgaGpqg/g8fPnDz5s389ddf6eLiohtqpXr16pwxY4bih5d/8+YNZ82axeLFi9PR0ZElSpTgrFmzUnzBhLFcvXqVRYsWpUql4oABAxQ9gsbX1KtXjx4eHrL3oMgaLrGxsXR3d2eDBg3kLCNJoqKiGBgYyGzZsrFatWqKnTvjcy9fvuSECRPo5eVFSZKYJ08eTpkyJcUDNRpK/D0aQUFBrFq1qu7oxM3NjZ07d+bWrVuTdL7hexOsWVtb62V8rMSMy/a1ia8SU/u1a9c4adIk+vv76+r29PRk9+7duXPnzhRNzWBI8ReGdO7cmU5OTsyWLRs7dOjA4OBgRXa5fk6tVnPcuHE0Nzdn7ty5EzWvklJcunSJALh48WJZ65A1XP766y8C4OXLl+UsI9FOnz5NX19furq6cvbs2Yo+WomLi+O+ffsYEBBAMzMzWlpaslWrVgwODlbkUUpERAS3b9/Obt266WYkNDc3Z6VKlThlyhTeuHFDr3VHRkYmGNnXyckpSSP7Pnv2jJs2bfpiRGkzMzO9jyj9ufDwcG7bto1dunTRTZtgYWHBKlWqcOrUqbx586YiP9+3b99y7ty5LFWqFB0dHVm0aFFOnz5d9q7KH7l+/TpLlChBSZL4+++/KzbI/6tBgwZ0d3eX9ehFtnCJiYlhjhw52KhRI7lKSLTIyEj++eefzJo1K2vWrMm7d+/KXdI3PXv2jGPHjqWHhwclSWK+fPkYFBSkuBOsWq2W169f5+TJk1mpUiXdyXh3d3d269aNO3bs0A2maCzfmpPE0tKSPj4+9PPzo6+vb4IgcnV1TTAXjjG7ULRaLW/evMmpU6eySpUqtLCw0IVjly5duG3bNoaHhxutnsTQarU8deoUu3XrRicnJ91EbocOHVLs0YxGo+GkSZNoYWFBLy8vHjt2TO6Sfujy5csEwL/++ku2GmQLlwULFhCA4m8wDAkJYYkSJejm5sa5c+cqbvwe8t8v/+7du9mgQQOamprSysqKbdu25YkTJxS1F/vx40du2bKFnTt31s1MaGlpyWrVqjEoKIi3b99WRL3xIdOjRw/mz59fd4L983+Ojo6sVauWUSZYS6yIiAju3LmT3bt3p6enp+7or2LFipw0aRKvXbumiPaN9+7dOy5YsIBly5alo6MjCxcuzKlTpypi6P6vuXXrFn19fSlJEnv16mX0nZ+katiwIXPkyCHbKASyhEtMTAzd3NwYEBAgx+oT5dOnTxw8eDCzZMnCOnXqKGIOkv968uQJR44cyezZs1OSJPr4+HDWrFmKualNq9XyypUrnDBhAitUqKA7X+Dl5cWePXvy77//lr2bISoqiidOnEj0xFfx88B/b4K1xM4Db2h37tzhjBkzWL16dV2drq6u/PXXX7l582bFDOWi1Wp55swZdu/enS4uLsySJQtbt27N/fv3K25nTqPRcOrUqbSysqKnpyePHDkid0nfdOXKFQLgggULZFm/LOEyf/58SpKk2BsNjx8/zmLFijF79uxcuHChog7XNRoNd+zYwTp16tDExIQ2Njbs0KGDYm5gCwsL48aNG9mhQwfdD7WVlRVr1qzJWbNmyRrS3zuxn9yJr/57Ij/+fBEAOjk5JftEvr5FRkZyz5497NWrF3PlyqW7aq18+fIcP348L126pJjvz6JFi1iuXDk6OjqyYMGCnDRpEp8+fSp3aQncuXOHZcqUIQB2795dcd2P8QICApg9e3ZZjl6MHi7xRy1NmjQx9qp/KDw8nAMHDmSWLFlYt25dhoaGyl2SzqNHjxgYGEhXV1dKksTChQtz7ty5su99arVaXrx4kWPHjmXZsmV1XUh58uRhnz59uG/fPtku5fzvJcmfT3z130uS9Xni88WLF4m+BFku9+/f5+zZs1mrVi1dfU5OTmzfvj03bNgg+9GvVqvl+fPn2bt3b7q5uTFz5sxs3rw59+zZo5gLaeLi4jh9+nRaW1vT3d2dBw8elLukL1y7do2SJHH+/PlGX7fRw2XFihWUJEmR04/26dOH7u7uXLx4saKOVrRaLb28vGhnZ8fOnTvz7NmzitjLJP8dPRcAbWxsWKdOHc6dO1cxE4StXbtWV5ucN1N+6+bJvHnzGrWOb4mOjub+/fv5+++/66ZH6NSpk9xl6Xz8+JFLly6lv78/HR0duWHDBrlLSuDevXssX748TUxMFPPd/1yTJk2YM2dOo/+mSSSJFNLDIhJFkqQkvyYptcXFxQEATExMkrweQ9cW/9zkrMfQtaVEUmtLTpslZz1pqc2AtPNd02g0MDExMUpt4vNM3mvimSb7lZ8ZMWIEChYsmKzXajQaxMbGwtra+rvPe/nyJbp06ZLk5U+ePBn58uX75uORkZGwsLBIVqDEe/36Ndq0aZPk132r3UgiOjoacXFxsLKySlFtyW23lHymifHixQtIkpTk2kaMGAFnZ2c4OjoaqLKUtVnWrFmRJUsWA1T1r5TU5uHhARMTE5iZmcHMzEwxtU2aNAkZMmRAtmzZ9F5TvNevX6Nt27ZJes3n24BWq0VsbKwu3CwsLKBSqVJcV0o+T1dXV2TIkCHFNXxLcmvT0cfhT+PGjanRaJL878GDB/Tz82O+fPm4ePHi7z43uXfx//rrr19dXmxsLMePH8+yZcuyYcOGfPToUbLeg0ajYfv27ZNVW5MmTRIs58OHD9y0aRObN2/OQoUKMV++fKxUqRKXLl3KqKioZNXWsGHDZNWW3M/0a//UajWfP3/Os2fPcu3atWzfvj09PT2T9Zk2adKE2bNn58CBA/n06VO91aivNoufGC4yMtIgtSV3O2jSpAm9vb3p4+PDMmXKsHXr1pw3bx7v3bsne7t17NiRuXPn5r59+wzSZhqNhm3btk1yXY0bN+bo0aPZpUsXVqtWjYULF2bevHnp4+PDOnXqcMWKFSn+nFPyeXp4eLBnz54MDQ1V1HYQTy9HLpIkJXnvOjY2FiVLlkTLli3h7++PunXrokCBAihatKg+SvpubSTRp08fnDt3DpMmTcKBAwdQo0YNnD9/HhYWFnpd/49qU6lUePPmDdatW4f58+dDkiQ0aNAA7dq1g62tLS5duoQJEyZg+fLlWLt2LTJlymS02lJyxAT8287nz5/H2LFjceXKFZiamiJz5swoXrw4Nm/ejBEjRiSrruXLl2PKlCkoWbIkRowYgTZt2uhlLzKlJEnCihUr0KdPH+zYsQNr1qyBi4uL3GUB+Le2JUuWIDo6Gq9fv8aNGzewceNGjBkzBlWqVMHQoUORPXv2FHWDpKS2SZMmoV27dti2bRt++eUXo9fwNZIk4d69e3ByckLRokXh5uaGdOnSISoqChcuXMD48eMxd+5crF+/Hs7Ozkavbfny5ZgzZw58fX0xdOhQdOnSJcXbrF6lKJo+S9GkatiwIcuWLas7Mb106VKmS5fumyeqk5vwXzsxuW7dOnp4eOjm9tBqtQwICGDz5s2TdaI8uUcuTZs2Zbdu3ejh4cGyZcty/fr1DA8P/6KGDx8+sG3btsyePXuSbzBL7t6HPq7mW716NdOlS8chQ4bwypUrfPfuHWNjY3XvLzmfadOmTUn+e0n29u3bmSNHDgYEBOj16qaUtllERAS7dOnCLFmy6P1G1uRuB/HtFk+r1VKtVvPq1ats27YtM2fOzJUrV6ao1uS226+//kqtVst169bRzc2NYWFhya7hW5Jz5NKkSRNqtdqvtolWq2V4eDi7devGrFmz8vHjx8mqK6WfZ/xgtDlz5mS9evUUsR3Ek2V37+3bt9i0aRN2796t21Nq3bo1JEnCmjVrDLruyMhI9OnTB5s2bYKDgwOA/98LOHToEJ49e2bQ9f+XhYUFli9fjgMHDiAgIAC2trZf7D2mS5cOixYtQt26dVGiRAlERkYatcbkuHHjBlq1aoVt27Zh1KhRKFCgABwcHGBmZqaXvWMTExPUrl0bZ8+ehVqtRokSJXD79m09VJ5yNjY2mDNnDgIDA1GlShWsXLnSaCeHE0uSJJiamiJ//vxYvHgxlixZgp49e2LEiBGy1CpJEgICAlC3bl3UqVNHMe0lSdJXv6+SJMHW1hazZs1CmzZtULx4cURERBi9PpVKBX9/f5w5cwYqlQrFixfHrVu3jF7H18gSLtWrV0f79u1hY2Oj+5skSdi1axfatWtnsC8WSTRv3hzVqlX74mS1paUlevTogYCAAIOs+1umTJmC0qVLw9zc/LvPU6lUCAoKQuHChVGpUiXFbHxfQxLlypXDtGnT4OfnZ9CuFkdHR2zcuBFNmzZFqVKlcPToUUW0jSRJ6Ny5M7Zt24ZevXph8ODBUKvVcpf1VZIkoUaNGjh16hTmzZuHIUOGyBYw06ZNw/v37zF58mSjrz85JEnCuHHjUKZMGfj5+cn23XNwcMD69evRvHlz+Pr6Yvfu3bJvB0YPl+joaJw9exZz58794jFfX19dP70hXL16Vbfur/3gDRw4EKGhoXj//r1B1v81SfnhlSQJGzZswD///IPhw4cbsKqU2bRpE2JjY9G9e3ejrM/ExASBgYGYOnUqatSoga1bt8q+YQH/fl4VK1bE6dOnsWvXLlStWhU3b95URG1f4+XlhdOnT2Pu3LmYPn26LHWamJjg77//xpQpU3D9+nWjrz854ntcXr16hSFDhshWh4mJCYYPH445c+agadOmmDp1KrRarWz1GD1cOnbsiDJlynx1T12SJMyaNQs1a9bU+3pJIiAgAFOmTPnmUYKJiQkCAgKSdVmxsZiZmSEkJARjx47FzZs35S7nCyTRsmVL7Nixw6gnhyVJQps2bbB+/Xq0bNkSy5YtU8yPuJeXF0JCQuDj4wM/Pz/89ttvuHTpEjQajdylfSF79uw4ceIEBg4ciH379slSg4uLCyZNmoQ6deogLCzsi8dJ4t69e1iyZAnmzZuH+/fvy/5Zm5qa4tSpU5gwYQKuXLkiWx2SJKFJkyY4fPgwZs+ejebNm+PDhw+y1GLUcCGJVatWYevWrd98TseOHfHq1St8/PhRr+uePHkybG1t0aRJk+8+b9KkSThz5ozuhkolcnFxwbRp01CuXDlZ90y+5saNG9BoNChXrpzR1y1JEqpXr469e/eiR48emD9/vuw/OvFsbGwwbdo07N+/HzExMahTpw6qVauG1atXy9JX/z3e3t7YvHkz6tatiydPnshSQ8uWLVGjRg3UqFEDr169Av8dTQSPHj1Cv379UL9+fRw6dAhnz55F9erVcejQIVnq/JyTkxPmzJmD8uXLy/r7IUkSihQpgjNnzuDTp08oUaIELl26ZPRtwajhsn37dtjZ2X33xh+VSoW6dev+MASS4vbt25g2bRq2b9/+w71pS0tLuLu7Y+rUqXpbvyF0794d9vb2+OOPP+QuJYEaNWpgzJgxslzSCvy7YZUpUwaHDx/GgAEDMGvWLMUEjCRJ8PHxwV9//YWTJ0+iTp06mDhxIkqWLInNmzcrpk7g38+xb9++8PX1leUIS5IkTJ8+HUWKFEHVqlUxfvx49OzZE7Vq1UJUVBQ2b96MZcuWYeHChZgxYwZat26Nd+/eGb3O/+rUqRNy5MiBjh07yv55Ojo6YsuWLWjdujUqVKiAJUuWGLUmo4VLfHfJmjVrfvjDs3LlSuzZs0dv6V+nTh2MGjUq0deir169GtOmTZP9y/E9kiTh2LFjmDx5Ml69eiV3OQD+HW3h8ePH6Nevn9yloGjRojh69CiGDh2KoKAgRX2WkiTBxcUFPXr0wMmTJ9G/f3/89ttv6Ny5s2K6yiRJwujRo+Hs7IymTZvK0n4qlQozZszA2LFj8eHDB7i6umL16tWYPXs2vLy8oFKpoFKpULVqVTRv3hz169eX/XOWJAlHjhzBihUrDHbuOClMTU0xaNAgbN68GYMHD0bv3r2N9h0zWri8ffsWERERqFGjxg+fa2tri1y5cmHo0KF6WffIkSPRvn37RD8/R44cMDU1xaVLl/SyfkPJmjUrevXqJetVKp8bP348PD09FXMjV6FChXD8+HGMGDECU6ZMUUQbfU6SJFhbW6N169Y4d+4czp49i3r16immq1OSJBw4cAB79+7FihUrZKlBpVKhevXqGDduHPr3748CBQp8sXMqSRLGjx+PO3fuKOI8ZPr06bF48WL4+/sr4gpBSZJQoUIFnDlzBocPH0aDBg0QExNj8PUaLVzq16+PVq1aJbq75MCBA5gwYYJePpwmTZok+aqsMWPGoFWrVilet6FNnjwZoaGhOHLkiKx1kMSIESOwbds2Wev4rwIFCuDEiRMYM2YMJk6cqLiAAf79vjk7O+P48eO4f/++IrpU4tnY2ODQoUPo0KEDHj9+LFsd37rfJJ6JiQlGjx6NgIAARbRdq1at4O3tjRYtWiiiHgBwc3PDiRMn8OHDB1SpUsXgAWOUcImLi8Px48exYMGCRL/GxcUFJUuWRKtWrWT5cFq2bIk3b94ooh/3e0xMTLBu3TrUrl1b1i/x27dvodFo4O3tLVsN35IvXz6cPHkSEydOlO0mwcSwsbHByZMnsX79eqxevVrucnSKFi2KIUOGoFSpUorptvua9u3b482bN0a/Efpr4o/6tm3bhj179shdjo6dnR327dsHlUqFatWqGfTCA6OEy9ChQ5E7d25YWlom+jWSJGHv3r3YvXs3AgMDDVfcd9bftGlTtGzZ0ujrTqo6derA1tYWc+bMka2Gpk2bIiAgQLYT+T+SN29e3U2C/fv3V0zX0385ODjg4MGDaNOmzVcvw5WDJEkYPnw4nJ2d0bJlS8WGsyRJ6Natm14vBkoJW1tbbN++HfXq1UN4eLjc5ehYWFhgz549eP/+vUGPrAweLlqtFhMmTEjWNfN2dnY4ffo0/vnnHwNU9mMTJ07EhQsXFLORf4skSTh48CB69eoly48mSRw8eBCLFy82+rqTwsvLC2fPnsXmzZvx66+/KvZy8+LFi6N169bw9/dXzA+5JEk4dOgQdu7cibVr18pdzjcNGTIEd+7cQXR0tNylAACqVKmCRo0aKea8aDwLCwscO3YMhw8fxtixYw1Sm8HDZcyYMXBzc4Orq2uyXp8nTx789ddfeq4qcczNzdG0aVM0adJEUV+Mr/H29oa7u7tej/IS+54PHz4MKysr2Nra6m3dhuLq6orTp08jJCQELVu2VOQRjCRJWLBgAa5fvy77ubTP2draYv/+/WjdurUiup6+xtTUFEWLFsWAAQPkLgXAv5/lsmXL8PjxYwQFBcldTgJ2dnYICQlBYGAgQkJC9L58g4ZLTEwMhg8fjsOHD6eou0TO4dQnT56MGzdu4MSJE7LVkBjxRy9jxozR2x55+/btE7WsgICAJJ1Pk1umTJlw8uRJXLp0yaBj2aWEqakp1q9fj1q1aimqvpIlS6Jfv37w9fVVZDAD0E1PoZR2MzU1xfHjx9G3b1/Zbkr9Fg8PD6xYsQJVqlTR+4C4BvvVjh9upUKFCsiRI4ehVmNwpqamWLRoEVq2bKn47jFXV1fkzJkTw4YN08vyLl269MM+9g8fPuDdu3do0aKFXtZpLPb29ggJCcGBAwfw559/KuaH6HN16tSBtbW1ooJbkiSMHTsWVlZW6NmzpyLbzdHREenTp//uSCDGljt3bgwePFg3fqKSNGnSBFWqVEHVqlX1WpvBwuXw4cPYs2eP0ceYMoTKlSujXr16qF27tqKHu4+/QmX8+PF62as8evQodu3ahYULF37zOQ0bNkTDhg1T5Wdsb2+PU6dOYfLkydi7d6/c5Xwh/vP87bffFPWDFH8D7/z583Hu3Dm5y/mqpUuXolevXopqt1GjRiEuLg7jxo2Tu5QEJEnCunXrcPnyZb1OeWKQcHny5Alq1KiBjRs3wtra2hCrMCpJkjB16lS4ubmhfv36ePPmjdwlfZOLiwucnZ31MnyNnZ0djh49im7duuHixYtfPB4eHo6DBw/KdoOdPri6umLLli2oV6+e4sb4AgAfHx9kzJhR1isBv8bR0RGLFi1CpUqVFHl5cvywNTdu3JC7FB1JknD8+HEMHTrUqCOvJ4aZmRn27duHNm3a6G0HWq/hQhKhoaEoXrw4evfujdq1a+tz8bJSqVRYunQpcufOjapVq+L48eOK2iuKJ0kS9u3bh0GDBumlvkKFCmHevHkoV64c7t+/r/s7SVStWhVNmzaFlZVVitcjp2rVqqFu3bqoVq2a4j5TSZKwf/9+xe2FA//eKJg3b160adNGcbXF3witlJsq47m7u6N9+/aKuhIwXokSJVCjRg293TNnqoeaAACvXr3Cjh078Mcff6B9+/YYN25cquwq+R4zMzMEBQVhxYoV6NSpE+rVq6eYq1I+lzt3blhbW+utz7lDhw74559/UKJECaxYsQK//PILFixYgFu3biE4OFgv65CTJElYuXIlbGxscPr0abnL+UKBAgVgbW2tuNEP4oPPwcEBAwcOlLucL7Rt2xZDhgxR3DBO8+bNg5WVleK+a5IkYf369bC1tf1qT0VS6e3IxdfXF3PnzsVff/2F8ePHp7lgiadSqdC6dWvs3LkTDx8+RN26deUu6Qvxk4rpa7IuSZIQGBiI8ePHo0ePHihTpgw2bNiAU6dOwczMTC/rkJuZmRmWLl2Kpk2byl3KFyRJwsaNG9GtWze5S/mCnZ0dZs+ejfr168tdyhfiZ7bs2LGj3KUkYGpqiqVLlyrmZs/PWVhYYMGCBWjUqFGKl6WXIxdzc3N06NABuXLlgqmpKf7++299LDaB5F5xZm5ujgMHDui3mP9p06YNLl++nOw+SnNzc+zatUvPVf2/QYMG4eHDh8l67ddqy5YtGwIDA/Hy5Uu4ubnh7t27uHv3brLrS85nasg2S58+Pfr27YtHjx4l6/WG/jwHDx6MBw8eJOu1hqzN2dkZvXr1SvbYY2ZmZti/f7+eq/qXg4MDunbtmqwbsQ3ZZvb29ujXr59et099yZQpE/r06ZPs7SCeRD10rkVFRaV0ET9kYmLyw3nmvyYptZGEVqtN8qi+xqgtudJabUmti2SSj6LTWpsBSd8OgKRNwQ2kvXZTal2Asj/PeHoJl7Ti48ePiImJgb29veK6ez7/mNJql6O+xLfV5xuVaLPEiZ/xEVBmu5FEXFwcTExMFFeb0si9HRj91netVov169cjf/78kCQJVapUUczd7/ETmhUoUABXr16Vu5wELl68CBMTE72caNOXJUuWQKVSoXPnzoq4WzsuLg6rVq2Ct7c3VCoVateujbNnzyryRygiIgITJ05EpkyZYG5ujk6dOiW7i0SfJEnC1atXkTlzZhQtWlRxo4JfvXoV2bJlU8z2qdVq0aFDB6hUKsVckv/x40eMGTMGjo6OsLS0RI8ePfD06VPjbweUSVxcHNevX8/8+fMTACtVqsRjx47JVY5OWFgYq1atyly5cvHKlStyl6Nz/vx5SpLE8+fPy10KSXLRokWUJIldunRhXFycrLWo1WquWLGCuXLlIgDWrFmTp0+flrWmxAoPD+fEiROZKVMmmpqasmPHjgwNDZW7LF6+fJmOjo4sXLgw3759K3c5OvF1Xb58We5SGBcXx3bt2lGlUnHFihVyl8OwsDCOGjWKDg4ONDc352+//cZ//vlHtnpkC5d4cXFx3LhxI318fAiA/v7+DA4OlrWmDx8+sFq1asyVK5civsSkssJl4cKFBMCuXbtSq9XKVodareayZcvo5eVFAKxduzbPnj0rWz0pERERwcmTJzNz5sw0NTVl+/btef/+fVlrunLlCh0dHVmoUCG+efNG1lriKSVcNBoN27ZtS5VKxVWrVslaS1hYGEeMGEF7e3taWFiwR48efPLkiaw1kQoIl3hxcXHcvHkzCxYsSAD08/Pj4cOHZavnw4cPrF69OnPlysVLly7JVkc8pYTL/PnzCYC//fabbMGiVqu5ZMkS5syZkwBYt25d2dtFXz59+sSpU6cyS5YsNDExYdu2bXn37l3Z6rl69SozZcrEggUL8vXr17LVEU8J4aLRaNi6dWuqVCquXr1atjrev3/P4cOHM3369LS0tGTPnj359OlT2er5L8WES7y4uDhu2bKFhQsXJgCWL1+ehw4dkuWH7OPHj6xZsya9vLx48eJFo6//c0oIl3nz5hEAe/ToIcvnERsby8WLF9PDw4MAWK9ePV64cMHodRjDp0+fOG3aNGbNmpUmJiZs06YN79y5I0st165dY+bMmenj4yN7wMgdLhqNhq1ataKJiQnXrl0rSw3v3r3jsGHDdKHSu3dvPnv2TJZavkdx4RJPq9Vy27ZtLFKkCAGwbNmyPHjwoNF/1D5+/MhatWrRy8tL1h8yucNl7ty5BMCePXsa/TOIjY3lX3/9RXd3dwJggwYNFHE0aQyRkZGcPn06s2XLRpVKxVatWvH27dtGr+P69evMnDkzCxQowFevXhl9/fHkDBeNRsMWLVrQxMSE69atM/r63759y6FDhzJdunS0srLi77//zufPnxu9jsRSbLjE02q13LFjB3/55RcCYJkyZbh//36j/sCFh4ezdu3azJkzp2w/7nKGy+zZswmAvXr1Mmq7x8TEcMGCBcyRIwcBsFGjRrL3tcslKiqKM2fOpLOzM1UqFVu0aMGbN28atYbr168zS5YszJ8/P1++fGnUdceTK1zUajWbN29OExMTrl+/3qjrfvPmDYcMGUI7OztaWVmxb9++fPHihVFrSA7Fh0s8rVbLnTt3slixYgRAX19f7t2712g/duHh4axTpw49PT157tw5o6zzc3KFy6xZswiAffr0MVpbx8TEcP78+cyePTslSWJAQICirtyTU1RUFGfNmkUXFxdKksTmzZvzxo0bRlv/zZs3mTVrVubLl0+WgJEjXNRqNZs2bUpTU1Nu3LjRaOt9/fo1Bw0aRFtbW1pbW7N///6yhXpypJpwiafVavn333+zRIkSBMCSJUtyz549Rvnhi4iI0AWMsa9KkiNcZsyYQQDs27evUdo3Ojqac+fOpZubGyVJYpMmTXjt2jWDrzc1io6O5pw5c+jq6kpJkti0aVNev37dKOuODxhvb2+j70EbO1zUajWbNGlCU1NTbtq0ySjrfPXqFQcOHEgbGxva2Nhw4MCBsnZFJleqC5d4Wq2We/bsYcmSJQmAJUqU4N9//23wH8GIiAjWrVuXHh4eRr2XwtjhEhQURADs16+fwdv0vz+UzZo1M9oPZWoXHR3NefPmGT2Qb926xWzZsjFv3rxG7fc3ZrjExsYyICCApqam3Lx5s8HX9+rVKw4YMIA2Nja0tbXlH3/8IfsFFCmRasMlnlar5d69e+nr60sALF68OHfu3GnQH8RPnz6xfv369PDw4KlTpwy2ns8ZM1ymTZtGABwwYIBB2/HzLh6VSmX0Lp60RI6uxNu3b9PJyYl58uQxWsAYK1xiY2PZqFEjmpmZcevWrQZd18uXL9mvXz9aW1vTzs6OgwcPVsx9RSmR6sMlnlar5f79+1mmTBkCYNGiRbljxw6D/Th++vSJDRo0oLu7u1ECxljhMnXqVALgH3/8YbC2i4qK4owZM+jk5ESVSsWWLVvy1q1bBlnXzyYmJoYLFy7UXQTRsGFDg/4Q37lzh87OzsyTJ49RLoc1RrjExsayYcOGNDMz47Zt2wy2nufPn/P333+nlZUV7ezsOHToUEWNhpBSaSZc4mm1Wh48eJBly5YlAP7yyy/ctm2bQX4oIyMj2bBhQ7q7uzMkJETvy/+cMcJl8uTJBMBBgwYZrL2mT5+uC5XWrVvLclntzyA2NpaLFi0yyuXbd+/epYuLC3PlymXwm/gMHS4xMTGsX78+zczMuH37doOs4/nz5+zTpw+trKyYLl06/vnnn2kqVOKluXCJp9VqeejQIZYvX54AWLhwYW7ZskXvP5qRkZFs1KgRc+TIwZMnT+p12Z8zdLhMnDiRADhkyBCDtJFSbgj82cTfeOrp6WnQG0/v3btHV1dXgweMIcMlJiaG9erVo7m5OXfs2KH35T979oy9evWipaUl06dPz+HDh/Pdu3d6X49SpNlw+dyRI0dYoUIFAmDBggW5efNmvQ62GBUVxYCAAObIkYMnTpzQ23I/Z8hwmTBhAgHwzz//1GuwfPr0iVOmTNENZdKuXTveu3dPb8sXEk+tVnPp0qW6IXPq1Kmj9+/S/fv36erqSi8vL4ONbWWocImJiWHdunVpbm7OXbt26XXZT548YY8ePWhhYUF7e3uOGDGC79+/1+s6lOinCJd4wcHB9Pf3JwD6+Phw48aNeguZqKgoNm7cmNmzZzfI6M6GCpdx48YRAIcNG6a3YPnvIIwdOnSQfRBG4V9qtZrLly9PMNinPu/bun//Pt3c3JgzZ06DjMhriHCJjo5m7dq1aWFhwb///ltvy33y5Am7d+9OCwsLOjg4cOTIkQwLC9Pb8pXupwqXeMeOHWOlSpUIgAUKFOD69ev1EjJRUVFs2rQps2fPzqNHj+qh0v9niHAZM2YMATAwMFAvy4uIiFDk8PHCl+KnKcidO7dumoIzZ87oZdmhoaHMnj07PT09+fjxY70sM56+wyU6Opq1atWihYUFd+/erZdlPn78mN26daO5uTkzZMjA0aNH88OHD3pZdmryU4ZLvBMnTrBKlSoEwHz58nHdunUpDpno6Gg2a9aMbm5uep06QN/hMnr0aALgiBEjUrys8PBwjh8/no6OjjQzM2OnTp344MGDlBcpGJxGo+GqVauYJ08eAmD16tX1cvXjgwcPmCNHDnp4ePDRo0d6qPRf+gyX6Oho1qxZkxYWFtyzZ0+Kl/fo0SN27dqV5ubmzJgxI8eOHcuPHz+meLmp1U8dLvFOnjzJqlWrEgC9vb25Zs0aajSaZC/v84A5cuSIXmrUZ7iMHDmSADhy5MgULefjx48cN24cM2bMSDMzM3bp0oUPHz5McX2C8Wk0Gq5Zs4Z58+YlAFarVi3FV0A+fPiQOXLkoLu7u96+F/oKl6ioKNaoUYOWlpbcu3dvipb18OFDdu7cmWZmZsyYMSPHjRv3U4dKPBEunwkJCWH16tUJgHnz5uWqVauSHTIxMTFs0aIFXV1d9TIvjb7CJTAwkAA4evToZC/jw4cPHDNmDDNkyEBzc3N27dpVr3ungnw0Gg3Xrl3LfPnyEQCrVKmSootUHj16RHd3d+bIkUMvAaOPcImKimK1atVoaWnJ/fv3J3s5Dx484K+//kozMzM6OjpywoQJDA8PT/by0hoRLl9x+vRp1qxZkwCYO3durly5MlkhExMTw5YtW9LV1ZWHDh1KUU36CJfhw4cTAMeOHZus13/48EFR06gKhqPPacgfP35MDw8P5siRI8XdpSkNl6ioKFatWpVWVlY8cOBAspYRGhrKjh070tTUlJkzZ+akSZMYERGRrGWlZSJcvuPMmTOsVasWATBXrlxcvnw51Wp1kpYRExPDVq1a0dXVlQcPHkx2LSkJF61Wy2HDhhEAx40bl+TXh4WFceTIkXRwcKCFhQW7d+8uQuUnET8NeYECBQiAFStWTNbFKo8fP6anpyezZ8+eoos8UhIukZGRrFKlCq2srJK1Ld6/f5/t27fXhcrkyZNFqHyHCJdEOHfuHOvUqUMA9PLy4tKlS5MUMrGxsWzTpg1dXFySvbeU3HDRarUcOnQoAXDChAlJeu379+8ZGBhIe3t7RU6jKhhPXFwcN23apJuGvEKFCkk+n/jPP/8wZ86cdHNzS/al6ckNl8jISFauXJnW1tZJ7qa+e/cu27ZtSxMTE2bNmpVTp07lp0+fkrSMn5EIlyS4cOEC69WrRwD09PTkkiVLEh0ysbGxbNu2LV1cXJLVz5uccNFqtRwyZAgBcNKkSYl+XWqZRlUwvvhpyAsVKqSbhjwpP9ZPnjyhl5cXXV1dkxUwyQmXT58+sVKlSrS2tk5SIN65c4dt2rShiYkJs2XLxqCgIEZGRia55p+VCJdkuHjxIuvXr08A9PDw4KJFixgbG/vD18XGxrJdu3Z0cXFJ8hUqSQ0XrVbLQYMGEQAnT56cqNe8ffuWf/75p24a1T59+ih6GlVBPvHTkBcuXJgAWK5cuURPQ/7kyRPmypWLLi4uSR6xIanh8unTJ/r7+9PGxibRtwbcvn2brVq1okqlYrZs2Th9+nQRKskgwiUFLl26xIYNGxIA3d3duXDhwh+GTGxsLDt06EAXF5ckXVuflHDRarUcOHAgAXDq1Kk/fH5qnUZVkJ9Wq+X27duTPA3506dPmTt3bjo7O/Pu3buJXl9SwiUiIoIVKlSgjY1Nos4T3bx5ky1atKBKpaKzszNnzpzJqKioRNcmJCTCRQ+uXLnCgIAAAmD27Nm5YMECxsTEfPP5nwdMYu8KTmy4aLVaDhgwgAA4bdq07z43tU+jKijH16Yh37dv33dD5tmzZ8yTJw+dnZ0TPZBpYsMlIiKCfn5+tLW1/eFVbjdu3GDz5s0pSRJdXFw4e/ZsESp6IMJFj65evcrGjRtTkiS6ublx3rx53wyZ2NhYduzYkc7OzokaKC8x4aLVatmvXz8C4PTp07/5vNevX/OPP/6gra0tbWxsOGDAgFQ5jaqgPPHTkBcvXpwAWKpUqe9OQ/78+XPmyZOHTk5OiZp+ITHhEh4eznLlytHW1pbHjx//5vOuX7/Opk2bUpIkurq6cs6cOYyOjv7xmxQSRYSLAVy7di1RX1q1Ws1OnTrR2dmZO3fu/O4yfxQuWq2Wv//+OwFw5syZX31OWptGVVAurVbL3bt3J2oa8hcvXtDb25vZsmX74aRxPwqX8PBwli1blnZ2dt+8+fNrO4EiVPRPhIsBfe1w+79fYrVazc6dO9PZ2fm7c0h8L1y0Wi379OlDAJw1a9YXj38+jaqtrW2amUZVUL6vTUO+a9euL0Lm84C5efPmN5f3vXD5+PEjy5QpQzs7u6/OrZTU7mshZUS4GMGPThSq1Wp26dKFTk5OX539TqvV8sCBA5QkiQcOHEiwYWq1Wvbq1YsAOHv27ASve/HiBfv27aubm3vIkCEiVARZxE9DXrp06W9OQ/7y5Uvmy5ePWbNm5Y0bN766jCNHjjBDhgw8cuRIgtd+/PiRpUuXZrp06b4YE+3y5cu6C29y5MjBhQsXilAxAhEuRnTr1i3dJY5OTk4JLnFUq9Xs1q0bnZycdPN2v3//nkFBQbpZBOP/eXp6MigoiO/evWPPnj0JgHPnztWt52eZRlVIfeJ3lL41DfmrV69YoEABZsmShdevXyf54+3g0aNH9PX1Zfr06Xn69Gnduj6/ZcDd3T3RtwwI+iHCRQa3b99m69atv7g5S6PRsHv37nRycuLw4cNpY2NDSZIoSVKCjSr+/01NTQmA8+fPJ/nzTaMqpF5fm4Z869at1Gq1fPXqFX18fJg5c2bOnz//h9uBSqWijY2Nbj6a/97svHjxYhEqMhDhIqOvDSvx8eNH3VAz/92YvvZPkiSuWrWKPXv2pKWlJe3t7RkYGPhTTKMqpA2HDx+mn58fAbBQoULcvHkzX758SQ8Pj0RvByqVijNnztRtOzlz5kzyME2CfolwUYB79+6xffv2NDExYebMmWlmZvbDjem//9KnT//TTaMqpC2fT0OeL18+mpubJ3k78PT0TNYAs4L+SSQJQRFCQ0PRokULnDp1KsmvHT9+PAYOHGiAqgTBuI4dO4aOHTvizp07SX7t1KlT0adPHwNUJSSVCBcFIQkvLy/cv38/Sa+TJAkeHh64e/cuJEkyUHWCYBxiO0gbRLgoyJs3b5ApU6YUvT5jxox6rEgQjE9sB2mDSu4ChP8XERGRoteHh4frqRJBkI/YDtIGES4KYmtrm6LX29nZ6akSQZCP2A7SBhEuCpIxY0Z4enomub9YkiR4enoiQ4YMBqpMEIxHbAdpgwgXBZEkCT169EjWa3v27ClOYgppgtgO0gZxQl9hwsLC4OLigqioKGi12h8+X6VSwcrKCk+ePIG9vb3hCxQEIxDbQeonjlwUxt7eHps2bYIkSVCpvv/xqFQqSJKEzZs3iw1KSFPEdpD6iXBRoKpVq2LXrl2wsrKCJElfHObH/83Kygp///03qlSpIlOlgmA4YjtI3US4KFTVqlXx5MkTBAUFwcPDI8FjHh4eCAoKwtOnT8UGJaRpYjtIvcQ5l1SAJN69e4fw8HDY2dkhQ4YM4qSl8NMR20HqIsJFEARB0DvRLSYIgiDonQgXQRAEQe9EuAiCIAh6J8JFEARB0DsRLoIgCILeiXARBEEQ9E6EiyAIgqB3IlwEQRAEvRPhIgiCIOidCBdBEARB70S4CIIgCHonwkUQBEHQOxEugiAIgt6JcBEEQRD07v8AHHspujiaF2sAAAAASUVORK5CYII=", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "# plot KAN at initialization\n", - "model(dataset['train_input']);\n", - "model.plot(beta=100)" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "id": "8071b133", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "# if you want to add variable names and title\n", - "model.plot(beta=100, in_vars=[r'$\\alpha$', 'x'], out_vars=['y'], title = 'My KAN')" - ] - }, - { - "cell_type": "markdown", - "id": "ddf67e30", - "metadata": {}, - "source": [ - "Train KAN with sparsity regularization" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "id": "97111d75", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 5.55e-02 | test loss: 5.69e-02 | reg: 5.02e+00 : 100%|██| 20/20 [00:12<00:00, 1.56it/s]\n" - ] - } - ], - "source": [ - "# train the model\n", - "model.fit(dataset, opt=\"LBFGS\", steps=20, lamb=0.01, auto_save=True);" - ] - }, - { - "cell_type": "markdown", - "id": "2f30c3ab", - "metadata": {}, - "source": [ - "$\\beta$ controls the transparency of activations. Larger $\\beta$ => more activation functions show up. We usually want to set a proper beta such that only important connections are visually significant. transparency is set to be ${\\rm tanh}(\\beta \\phi)$ where $\\phi$ is the scale of the activation function (metric='act') or the feature attribution score (metric='fa'). By default $\\beta=3$ and metric='fa'." - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "id": "3f95fcdd", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", 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", 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", 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/HPPnzw/6HQ/ivZAKFxGFi/tCYeMREREhjZwj7hk5ciQAYN++fQq3hKhVSIWLr8/lkMBG4eI+juOwZMkS3HDDDdRvpF0hFS4AVS3eCuZ+4zgOWq0WFotF6aYElDlz5qC6uhpVVVVKN4WoUMiEC+1dXaztpJ1t+yiU+iwqKgo2m03pZgQUjUaDOXPm4Nprr1W6KUSFVDtaTG6hcDLfk2t+OgqOUAoUZ+IoMG+umwplS5cuhV6vR01NDVJTU5VuDlGRgKxcOtrT7uo1tNG4wNMACYV+E78jz/MKtySwhIWF4eGHH8Y111wTsjsmpH0BGS7AhZPzno7wCYWNpDfB0dk0MKHQZyI5hyR7uvMTyFauXInDhw/TlPvERcCFi3iVtLhBdCdgQmUld0fbG6I5axsyoRQsgHxDkhljsFqtMBqNIbHshYWFYeHChbjqqqtC4vsS9wRkuADe3R0x1DaWbXUWLM5oQsvu4XkeFoslpA6xzZ8/H01NTfjHP/6hdFOISgRUuIiHGsS5nZyrl87Q9S3EHeL0Lt0ZkiwIAoxGIyIjI8FxHOx2u4wtVC+NRoMtW7Zg5syZMBqNSjeHqEDAhUtbYmh0VY5TuPwX9UXHoqKiYLVavXqtOGuyXq+HXq+HTqcLqeHNEydOxNSpUzF16lQ6PEYCJ1zaVi2irsKFFvILqB/cI86U7Wl/ifd6CQsLk6qWsLCwkDo0xnEcPvroIxw/fhxLliyhZS7EBcV1LhqNpstDY7S3fgH1Q+fE/rHb7dDr9W69hud5GI1Gl2ABLgRVqG1gw8PD8eOPP2LkyJEYNGgQrr32WlrmQlTAVC7OI8Q60t6KHEord0dVXCj1gRyioqJgNpvdeq4YLHq93iVYgAs7PaE4Rf+QIUPwwQcf4JZbbsF3331Hy1+ICoglv6ur6zs7NCYeSiPEXWFhYW5dpyIGS3h4OCIiItpdPt25CVkwmjZtGtasWYObb74ZGzZs6PLIAgk+AXFYzJ2pW8RDY85X4tMekys6POEesUK22Wwd3p6YMSZVLOHh4e32bSj3N8dxmDFjBpKSkjBz5kzs3LkTL7zwAnr06BHS/RJKVL9L73wi31uhvDBTwHpHPDTWUTVsNBqh1Wo7rFjIhfXu2muvxY4dO1BaWor8/Hy89dZbaGpqouUyBKg2XMRQcfcaFfE5zuV3KF/f0nblDdV+8JZ4y+O2h3MYY1LoREdHU792geM45Obm4quvvsLzzz+PFStWYOLEiVi6dCnKyspCajRdqFFtuIhzh3U195Uz55ltQ2EW5PY4f1/aO/Qex3GIiIhwmcKFMQabzQabzYaYmJiQW7a6Q6/XY8aMGfj555/x3HPPYcuWLbjiiitw22234YMPPsDZs2fB8zwts0FEteEiXi3tzVQkzvND0QaAeEs8l2I2m+FwOGCxWGCxWBATE0ODRLzAcRzi4uJw5513Ytu2bdi0aRMGDhyIJUuW4PLLL8e0adOwevVq/Prrr0o3lciAYyrcVeju4SzxUEZnGwBBEKQL5oKBv37GYAvr1tZWREVFdfg4YwwmkwmCIECj0SAyMtLjYDGZTIiOju5uU1VDrDbkYjKZ8Ouvv+K7777Dt99+i/LycowaNQqffPKJbJ9B/C8gRot5ypNzNCS0uTP/l16vl0Yh8jzv8XmCYNqJAYAePXrgs88+k/19L7nkEuTk5KCiokK2Wx8Q5aiycqG9cM9Rn3mH+s1zDofD55/BcVzQhXKoUWW4eIruMkn8QRy92HZ+O0LIxQL+rCRjjEaZeIGumPacOOsx9Z379u/fD47jsH//fqWbQvws4MOFEEKI+lC4EEIIkR2FCyGEENlRuBBCCJEdhQshhBDZUbgQQgiRHYULIYQQ2VG4EEIIkR2FCyGEENlRuBBCCJEdhQshhBDZUbgQQgiRHYULIYQQ2VG4EEIIkR2FCyGEENlRuBBCCJEdhQshhBDZUbgQQgiRHYULIYQQ2VG4EEIIkR2FCyGEENlRuBBCCJEdhQshhBDZUbgQQgiRHYULIYQQ2VG4EEIIkR2FCyGEENlRuBBCCJEdhQshhBDZBXS4MMZQX1+P8vJy1NfXgzGmdJNUj/rMO2K/nTlzhvrNTYwxNDY2AgAaGxupz9wULOtoQIaLwWDA8uXLkZubi549e7r8d/ny5TAYDEo3UXWc+ywlJQU5OTlISUmhPuuCc7+lpaVh+PDhSEtLo37rhHOfXX311QCAq6++mvqsC23X0aysrMBeR1mA2bZtG4uOjmYcxzGO4xgA6U/8t+joaLZt2zalm6oa1GfeoX7zHPWZd4Kx3wIqXLZt28a0Wi3TaDQund/2T6PRMK1WG1A/hK9Qn3mH+s1z1GfeCdZ+4xgLjAN6BoMB6enpMJvNEAShy+drNBpERkaioqICCQkJvm+gClGfeYf6zXPUZ94J5n4LmHMu69evh8lkcusHAABBEGAymbBhwwYft0y9qM+8Q/3mOeoz7wRzvwVE5cIYQ25uLkpLSz0aOcFxHLKzs1FcXAyO43zYQvWhPvMO9ZvnqM+8E+z9FhDhUl9fj5SUlG69Pjk5WcYWqR/1mXeo3zxHfeadYO+3gDgsZjQau/X6lpYWmVoSOKjPvEP95jnqM+8Ee78FRLjExMR06/WxsbEytSRwUJ95h/rNc9Rn3gn2fguIcElOTkZOTo7Hxxc5jkNOTg6SkpJ81DL1oj7zDvWb56jPvBPs/RYQ4cJxHObOnevVa+fNm6fqk16+Qn3mHeo3z1GfeSfY+y0gTugDwT0e3Feoz7xD/eY56jPvBHO/BUTlAgAJCQnYtGkTOI6DRtN5szUaDTiOw+bNm1X/A/gS9Zl3qN88R33mnaDuN39PCdBd7s7Bs337dqWbqhrUZ96hfvMc9Zl3grHfAi5cGGOssbGRLV++nOXk5Lj8CDk5OWz58uXMYDAo3UTVoT7zDvWb56jPvBNs/RaQ4SISBIF9//33DAD7/vvvmSAISjdJ9ajPvEP95jnqM+8ES78FzDmX9nAcJx17TEhIUP3oCTWgPvMO9ZvnqM+8Eyz9FtDhQgghRJ0oXAghhMiOwoUQQojsKFwIIYTIjsKFEEKI7ChcCCGEyI7ChRBCiOwoXAghhMiOwoUQQojsKFwIIYTIjsKFEEKI7ChcCCGEyI7ChRBCiOwoXAghhMiOwoUQQojsKFwIIYTILmDDxWg04uTJkzhy5AgAoLq6GjabTeFWqZ/RaMTp06cBAMePH8fZs2ep37pgt9tRWVmJ48ePAwBKSkrQ0NAAQRAUbpm60bLmuWDarnGMMaZ0IzxRWlqKdevW4YsvvsDZs2dht9thtVoRFxeHkSNH4p577sG0adMQGxurdFNVxbnfTp8+DbPZDL1ej+joaOTl5VG/tcNgMGDTpk14//33cezYMbS0tMBmsyEiIgIpKSm47LLLcP/996OgoAA6nU7p5qoGLWueC8btWsCEC8/z+OCDD7BgwQKYzWZMnToVkyZNQmZmJgRBwKlTp/D111/jhx9+wKhRo7By5UoMHjxY6WYrjvrNOzt37sTjjz+Ow4cPY8yYMbjuuuswbNgwxMTEwGAwYN++ffjyyy9x6tQp3HrrrXjxxReRkpKidLMVRcua54K6z1gA4Hmevf766yw6OppNnTqVHTp0iDkcDlZYWMiWL1/Oli9fzo4fP85sNhv78ccf2aWXXsoGDhzIjhw5onTTFUX95p3t27ezXr16sdzcXPbJJ58wk8nEDAYDW716NVu+fDl75513mNlsZs3NzWzNmjWsd+/ebNKkSay6ulrppiuGljXPBXufBUS4/PDDDywhIYHdcsstrKGhgQmCwBhj7E9/+hMDwACw9957jzHGmCAI7PTp02zChAls4sSJrLGxUcGWK4v6zXNFRUUsKyuLDR06lB09elTqs5KSEhYfH88AsKysLNbQ0MAYu9BvP/30E0tPT2czZsxgFotFyeYrhpY1zwV7n6n+hL7ZbMbChQuRmpqK1157DQkJCeA4rsPncxyHjIwMrFy5EidPnsTf//53P7ZWPajfPMfzPBYtWoTGxkasWrUKgwcP7rTPgAv9NnHiRLz88sv4/PPPsW3bNj+1Vj1oWfNcKPSZ6sNl37592LVrF2bPno0+ffp0ubIDF36IESNG4Pe//z3effddmEwmP7RUXajfPHfq1Cl8+eWXmDZtGiZOnOhWnwEX+u2mm27C+PHjsXbtWjgcDh+3VF1oWfNcKPSZ6oe4/Otf/0J4eDiuvvpqHD9+3GXFrampkf73mTNncPjwYen/JyQk4KabbsLf//53lJeXB85JMJlQv3musLAQRqMR06dPR3l5OVpbW6XHKioqwPM8AMBms+HYsWOIi4uTHu/duzemTZuGP//5z6iurkZ6errf268UWtY8FxJ9pvRxua7MmDGDDRgwgJ08eZJlZmayiIgI6U+n00nHJsPCwlwemzlzJisrK2M9evRgX3/9tdJfw++o3zz3zDPPsISEBHb8+HF21VVXufRLeHi41Gccx7k8FhkZyd544w3273//m8XGxrLdu3cr/VX8ipY1z4VCn6m6cmGMwWKxIDw8HFqtFhaLBRaLpd3n2u122O126f/bbDbo9XrpdaGE+s07ZrMZOp0O4eHhsFqtHX5/sX+dORwOREZGgjEGq9Xqj+aqAi1rnguVPlN1uHAchx49emDPnj3geR5XXnklDAaD9HhxcTFKS0sBAHl5eejdu7f02LBhw2AwGKQLkXieB8dx0l8wk6vfAumCLTn07NkTZrMZBoMB48aNQ3R0tPSY2WxGYWGhFCITJkyQLpzkOA6ZmZmora2FRqNBYmKiUl/BrxwOBw4fPozq6moYDIZuLWtJSUn+br5fCYIAs9mM1tZWtLa2QqPRoKmpKbj7TMmyyR1r165lkZGR7KeffmIOh8Plb8GCBVL5uH79epfHeJ5n7777LktLS2Pl5eXMZrMxq9XKrFYrs9lszG63M4fDIQ3/Czbd7bfk5GT26aefsgMHDrDy8nJmMBiCtq9EW7duZXq9nq1evfqiPjt58qQ0FLlfv36svr7+on579tln2YABAwJimKi3ampq2Keffsqefvpp9pvf/IaNHj2aDRo0iEVERHRrHa2oqFD6q8nKarWyhoYGdvbsWXbixAl24MABtn//fnbw4EF28uRJ9sorr3R7u6b2PlN15QIA//M//4PY2FisX78e+fn5LtNsaDQal/+t1Wql/28ymbBhwwZMnDgR6enp0Gq1YBeu65H+eJ6XTtJyHAeNRhM01U13++2KK67A+PHj0dLSgpqaGlRUVECr1SIhIQEJCQlITExEeHi4X7+Tr40dOxbZ2dlYv349br/9dpcT9s59JC4r4r8xxlBVVYVPPvkEN9xwA+Lj4/3edl+x2+04ePAgdu7ciR07dqCkpAQajQZDhw7FXXfdhQkTJkCv16OgoKBb62haWppfv5ecBEGAyWSSqpLW1lbpBH14eDiio6ORnJyM6OhoREREgOM4TJs2Da+88kpQ95nqw6Vfv3648847sW7dOtx888249tpru9zwC4KAd999FwcOHMBnn30m/TjthYYYNIIgQBAEsP/MhuMcMuLGJFAwxpCeno7bb78db7/9ttf9lpaWJi3ARqMRBoMBjY2NKCkpAQBERUUhMTERCQkJiIuLC6g+ak9ycjIeeeQRPPnkk1ixYgWee+45t+YMs1qteOGFF2A2m/Hwww8H/I7JuXPnUFhYiMLCQuzduxcmkwlJSUmYMGEC7r//fowfP94leAVB8Hod3b17N9544w2XDajaWa1WKURMJhPMZjMYY9BoNC5BEh0d3eHyI+d2Ta1UHy4ajQbPPPMMfv75Z8yaNQvvvPMOrrzySmg0Gmg0Guh0OikAxGpk48aNeP755zFr1iwUFBR0+v7thYcYMuL7tfdctVY3giBI55eeeeYZFBYWytJvMTExiImJQXp6OhwOhxQ0dXV1qKyshFarRXx8PBITEwO6qrn33nvx008/YfHixYiKisKsWbMQEREBANDpdNDpdC4VS0tLC/7v//4PGzduxGuvvYaBAwcq2Xyv2Gw2HDhwADt27MDOnTtRVlYGjUaD4cOH495770VBQQFyc3M73Hnozjr629/+FrW1tfj0008xadIkxMTE+Pnbd04QBClE3K1K3OHr7ZoaBMzElb/++ivuuusulJeXY9asWZg5cyYEQUBVVRUAICsrC01NTXjjjTfwwQcfYMaMGXj55ZcRFRXV7c92rm7E/y1yDhol99zFBVDcgxI3gP7ot9bWVjQ2NqKxsREtLS1gjCEyMlIKmkCraurq6jBnzhx89dVXmDJlCh5//HEMGjQIRUVFEAQBer0e/fv3x549e/Dqq6/i4MGDWLhwIWbNmqX6vUlRZWUlduzYgcLCQvzyyy+wWCxISUnBhAkTMGHCBIwdO9bjAR3eLmvV1dX49ttv4XA4cMUVV2DIkCG++Mpuca5KWltbYTabAVw4LBoVFSVVJNHR0bL81u722euvv46NGzfKul3ztYAJF+DCCrFw4UJ89NFH0Ol0GDx4MDIyMsDzPMrLy1FUVITk5GQ8++yzuOuuu3y69+wcNM739VCiunGuVrRa7UWfWVlZiRdeeAEffvihz/uN53mpqmlsbITNZoNGo3GpasRKQM1aW1uxdu1arFixAjU1NcjOzkZubi5iY2PR2NiIoqIiVFVVYfTo0Xj++edx+eWXqzpArVYr9u3bJx3uOnPmDLRaLUaMGIGCggLk5+ejf//+3V5evV3WLBYLfvzxRxw7dgz9+vXDpEmTfD5akef5i86ViEcqIiIiXILEl8usO30WGRmJp556CrNnzw6YowIBFS6MMTgcDpw4cQJbt27Fnj17UFtbi7CwMGRlZeHKK6/E5MmT0bNnT0Xa5u/qpqNqpT08z+P48ePYsmWLX/vNZDJJQdPc3AzGGCIiIqSgiY+PV/VGubq6Gt9//z1+/PFHlJaWwmKxIDExEUOHDsXkyZMxbtw4Ve5FMsZw9uxZKUx++eUX2Gw2pKamoqCgABMmTMCYMWNchlvLpTvLWllZGb799lvYbDZcfvnlyMvLk61dFovFJUjE60S0Wq1LkERFRfm9Au2qz3r06IH4+Hjk5+f7tV3dEVDhIgiCSzUgblzFPXa18WV101W10hml+o3neTQ1NUlhY7VaodFoEBcXJ4VNZGSk39rjKecgV2Mgms1mqTrZsWMHKisrERYWhpEjR0qHu7Kysvx6rtCbZc1qteLHH3/E0aNH0bdvX0yaNMllAIE7eJ53CRKTySRVJZGRkS5BorZKur0+a2howN69ezFy5EhFdp69ETDhIm6k1bhSu0uO6saTakXtzGazFDRNTU1SVSMOdY6Pjw/o7+drjDGUl5dL1cmBAwdgs9nQu3dvKUwuvfRSVVZW7igvL8e3334Li8UiVTHtBSP7zxXvzkEiViU6nU4KETFQAnUbsnfvXtjtdkyYMEHpprglYMKlbdUSLDypbrpTraidWNWI52ssFgs4jkN8fLwUNoG6kZSTyWTC3r17pUA5d+4c9Ho9Ro8ejfz8fBQUFCAzMzNolg2bzYaffvoJhw8fRkZGBiZPnozo6OiLRnCJ24e250oC5fyEO8TqZcSIEUhNTVW6OV0KiHAJhqrFXc4XebYdEi2Gik6nC/q+EKdhEasaQRAQHh4uXVeTkJAQElUNYwylpaXSMOEDBw7A4XAgIyNDqk5Gjx6tukM7chGrkqKiImzfvh3Nzc3Iy8vDgAEDEBYWdtG5kmBfL8TqJT8/X/U7EAERLsFatbhDEAQ4HA6XcG3vQk+xwglGgiBI52oMBgPMZjM4jnM5VxNMVU1rayt2794tVSe1tbUIDw/HpZdeKgVKRkaG0s30CYfDcdG5EnH912q1OHbsGE6dOoXs7Gxce+21SEhIULrJftXY2Ig9e/YERPWi+nAJparFWWfnVtqrbkTBNo1NeywWi8u5GvHaEzFoAq2qYYyhuLhYCpNDhw6B53n07dtXGtk1cuTIoDrEA1z43s6TOba2tsJmswGAS1USFRXlUpWcPXsW33zzDVpbWzFx4kSMHDkyKJfzjogj/9Revag+XEKxavHm3Erbw2ihUt0IgoDm5mYpbMSqJjY2VgobXwy37a6WlhaX6qS+vh6RkZEYM2aMVJ04z4YbDOx2u0tF4lyViCfcxf/q9fou3+vnn3/GgQMH0KdPH0yePDlkZqM2GAzYvXu36qsXVYdLqFUtco4EC9Xqxmq1ulQ1PM9Dr9dLgwISEhLcmi9MboIg4OTJk9Iw4SNHjkAQBGRnZ0thMmLEiC43qoGCMSadcBf/K1Yler3eJUiioqK8XgYrKirwzTffwGg0oqCgAKNGjQqq5bkjv/zyC6xWKyZMmKDa76vqcAmlqsUfI8FCrbphjLlUNeI9x52rGl/OZdXU1IRdu3ahsLAQO3fuRENDA6KiojB27FgpUNQ+s627bDaby+gtk8kExphLVSL+hYWFyfrZDocDP//8M/bv349evXphypQp6r/XSTeJ1cvw4cNVuwypNlxCpWpR8rqVUKturFarNAJNvLlVWFiYS1XTnQ2fIAg4fvy4dKjr2LFjEAQBubm50jDhYcOGyb5x9be2N75qbW2V7pYoViXiX2RkpN+WnaqqKmlEWUFBAUaPHh0Uy21H1F69qDZcQqFqUeN1K6FS3YhVjRg2ra2tAC5UNWLYxMTEdPk9GxsbsXPnTunPYDAgJiYG48aNw4QJE5Cfnx8wV1R3xGazXTSZo7gz5FyVREVFKR6cDocDhYWF2LdvH1JTUzFlyhQkJycr2iZfUXv1ospwCfaqJZCusncOmfYu9AyW6sZms7lMuMnzPHQ6nVTRJCYmIiwsDIIg4OjRo1J1cvz4cTDGMHDgQOlQV15eniLndeTQ9sZXJpNJqkrEKebFIPFnVeKpc+fOYfv27WhqakJ+fj4uvfTSoNye7Nu3D2azGQUFBar7LVQZLsFctaixWvFUR9PYOIeM0rcg6A72n/u0iIfPKisrcfToURQVFeH48eMwm81ISEhAfn4+JkyYgPHjx6NHjx5KN9srXd34yrkyCbTAdDgc2LlzJ3755Rf07NkTU6ZMCdjfqSPieb1hw4ahV69eSjfHherCJVirlkCqVryhplsQdBfP8zhy5Ig0suvEiRNwOBzo168fLrnkEgwePBi5ublITk6WKptAGOXlzu14naeYD4Tfyh3V1dXYvn07GhsbkZ+fjzFjxgTV9mX//v0wmUyqq15UFy7BWLUEQ7XiKTkm6fSn2tpa7Nq1Czt27MDu3bthNBqlKc7F6iQpKQmMMRiNRunwmdFoBABER0dLI9BiY2NV8Rv7+8ZXasbzPHbt2oU9e/YgJSUFU6ZMQUpKitLNkoVaqxdVhUuwVS3BXq14Sk3VjcPhwKFDh6RzJ8XFxeA4DkOGDMGECRNQUFCAQYMGdbks2u12lxFodrsdWq1WOk+TmJjol6pGLTe+Uruamhps374dDQ0NGDduHMaOHRsU66UaqxdVhUswVS08z7vMiRQM30lu/q5uampqpAkgd+/eDZPJhKSkJIwfPx4FBQUYP3484uPju/UZzlVNS0sLACAqKsrlls9yLAtqvvGV2vE8j927d2PPnj1ITk7GlClTAn5EX3NzM3bu3Im8vDzVzOygmnAJlqrFuVrRarUB/338Tc7qxmaz4eDBg1J1UlpaCo1Gg7y8PGlk18CBA332GzkcDpcRaGJV43zLZ3fmCwvkG1+pWW1tLbZv3476+nqMHTsW48ePD+gg3r9/vzTfmhp2ZlUTLsFQtVC1Ij9Pq5uqqiopTPbu3Quz2YwePXpI15yMGzfO47saysVoNEph09LSAsYYoqKipENoYlUjViXiYS7nG1+1PVdCOy/dw/M89u7di127diEpKQlTpkxR9XxdnVFb9aKKcAn0qoWqFf9yDhqLxYIDBw5g586d2LVrF06fPg2NRoMRI0ZIMwrn5uaqLugdDgeamppQV1eHc+fOobm5GTabTbpzYnx8POLj44P2xldqU1dXh+3bt6Ourg5jxoxBfn5+QFYxBw4cgNFoVEX1oopwCeSqhaoV/6uoqJCGCf/yyy+wWCzo2bMn8vPzMX78eFx66aXSnGFqGpkmhqHzIS6r1QrgwiE8h8MBu90Oh8MhDQ12PlejdPuDnSAI2Lt3L3bu3InExERMmTJFlVe+d0asXoYOHYo+ffoo2hbFwyVQqxaqVvzHYrFg//792LFjBwoLC3H27FnodDqMGDFCGtmVnZ3tEuxqmMamsxtfOZ8raTvFPM/zLudqbDYbNBqNdK4mISEBkZGRPmt3qKuvr8f27dtRW1uLSy+9FPn5+QF1AemBAwfQ0tKCyy67TNGdXcXDJRCrFqpWfIsxhjNnzkjnTvbt2webzYa0tDQpTMaMGePR3Sd9PUkna3PjK5PJJFUlnd34yh0mk0kKmubmZjDGEBERIVU18fHxtHMjM0EQ8Msvv2Dnzp2Ii4vDNddco6prSDrT0tKCwsJCxasXRcMl0KoWqlZ8x2w2S4ckduzYgaqqKoSFhWHkyJHSuZN+/frJGuTdqW7kvPGVJ3iel2753NjYCKvVCo1G43LLZ6pq5HP+/Hl88803OHfuHEaPHo2CgoKAqGIOHjyI5uZmRasXRcMlkKoWqlbkxRhDWVmZVJ0cOHAAdrsdvXv3lsLk0ksv9euGsqPqRqxKxD/nyRz1er3LCK7IyEi/7nSYzWaXqkYQBISHh7tUNYF4YlpNGGPYt28fduzYgbi4OEyePFnx8xldEauXIUOGID09XZE2KBYugVK1ULUiH5PJhD179kiBUl1dDb1eLx3XLigoQEZGhuLB7XzjK6PRCKPRKF1zI54riYmJQUxMDPR6vWpuQcDzvMvN0SwWCziOQ3x8vDTc2ZNDicRVY2Mjtm/fjqqqKowaNQoFBQWK32KgM2L1MnHiREW2W4qFSyBULVStdA9jDCUlJVKYHDx4EA6HA5mZmdJFjKNGjVL0wj9Pb3wlfi9fnbuRk9lslgYGNDU1SVWN883RqKrxDGNMGlwSExODyZMnK1YZdEXp6kWRcFF71ULViveMRiP27NkjTbNSW1uL8PBwjBkzRgoUJVdGX9z4Sg0j07oiCIJLVWM2m8FxHOLi4qSwiY6OVqx9gaaxsRHffPMNKisrMWLECFx22WWqrGIOHTqEpqYmRaoXRcJFzVULVSueYYyhuLhYGiZ86NAhCIKAfv36SSO7Ro4cqciU9O7c+EoMFDlvfOXrkWlysFgs0mSbBoMBgiBAr9e7nKsJhBPXSmKM4eDBg/j3v/+N6OhoTJo0CZmZmUo3y4XRaMSOHTsUqV78Hi5qrlrEYKFqxX11dXWYOnUqIiMjMWbMGBQUFCA/P18V0080NjaivLz8oqpEiRtftTeNDcdxqtjbba+qSUtLQ05OjtJNCwgGg0GqYu6//37FphfqyKFDh6RzL/7cmZElXPyVT95ef+APwVbheNJvJpMJERERXgWyp/3mSbsEQYDdbvdq2pRgW9Y8aZvdbgdjzKtqM5jWA09/z+bmZq+Cxde/p81mAwC//55BHy7iTbp8STw3E0z+9re/YcCAAe0+ZrFYoNPpur3339DQgOnTp3v0mnPnzkGv1/u0vx0Oh1e3w3U4HD4/1OXtsnbmzBlERET4tN9sNlvAXGjojsLCQo9uKGa32z2+b5PJZMLw4cM9btupU6cQGxvr8evcwfM8tFotbDYbMjIyvH6foD+oKh6K8OVhEOep4YNFeXk5HnjggYv+/ZNPPsHmzZsRExODv/zlL93amMyfP9/jcLFarWhoaMCgQYN8thEvLy/3+l7rPM/79FCXuOJ7ymQyoba2FqNHj/ZBqy4oKioKqnBpaGjA+PHju3xeXV0d9u7di/Pnz0Oj0aBv374YM2aMWxXzV1995VW4GI1Gnxy2rKmpQUlJCbKzs1FfX9+tcJHtxILzCUo59t7kfK/O2ijHXzASBzQ4/33yySd48803MW/ePIwaNQr33Xdfu89z989bGo0G1dXVqv491dY2juOkkXJqa5taiYMvOvrjOA5FRUX4+OOPERcXh6uvvhoTJ07E+fPn8f7776OpqanT13fnvK6vfr/Dhw8jNzcXFRUV3e4/v5619mRBlPNQG8dx0s2ViHdqamrw6quvYt26dSgoKMDs2bOh0+nw3nvv+b0tOTk5qK2t9dvhWE/J1S65v1/v3r1RXFws63uGsjNnzmD79u244YYbcNlll6FPnz7IysrCjTfeiMGDB+ODDz6A2WxWupluq6mpgVarRWpqKsaMGdPt9/NZuLQdftk2UPy596PValW7IQoEjDE88MADuO+++9C/f38AF36/N998E6+//rrf+zYsLAwcx6G1tdWvn+sOjuNkOUwqXmsl5yHXjIwMmEwmWhdkYLPZ8Omnn+L6669HZmamy7ZLo9EgPz8fAwYMwMaNG/3S34IgwGAwoLa2FhaLxavPPHr0KPLy8qSKrbtUN97Wl+U1rVTe2bVrFxoaGvDwww+7/HtmZia0Wi2OHTvm1/ZwHIeMjAyUlZX59XPdodVqux0IjDE4HA6X/8rVNgDSnS2Jdxhj2LRpE/r374/s7Ox2n8NxHK666irY7Xbs3r3bZ+0QBAF1dXXYs2cPjhw5gtLSUuzcuRMNDQ0evxfP8x4NYOiKT8KlbdUix/t0RzAeD/YXxhiefvppLF68+KK9GY7j8Nhjj+Hpp5/2e7sSExPB87zHhzsZY7DZbD47TNrRsiZuCMRqpKtlmzEmDUKRs3pJT0/H8ePHvXqtL6qpQNTQ0IDq6mpMnTq1020Lx3G49dZbUVhYKF28K6eysjLs27cPv/76K3r16oVx48Zh7NixGDRoEPbt2weHw+H2ezmfi5OL6ioXwDdhQOddvLN161aEhYWhoKCg3cdvueUW1NXV+b0q5LgLEzKWl5e7/Rq73Y7S0lKcOnUKxcXFaGlp8Um7gIt3jDypRhwOh3TCWKfTybrcZmRkwGw2exwQdrsdZWVlOHz4MI4ePQqj0ShbmwIJYwwff/wxLr/8crcGpcTHx6Nv377YsmWL7G1pbW1Famoq8vPzkZmZKU2impqaipSUFBw4cMDt9zp27JjsFz77NFzUVDHQeRfPCYKAhQsXYtWqVR3+llqtFtHR0fj3v//t59ZdOCzX0tLi1u/qcDhQVFQEvV6PnJwcpKSkoLS01Cd7lIBrtSEGijhKTqfTdRgw4tX74oaro7DylkajQUxMDEpKStx6PmMMBoMBhw4dgtVqRXZ2Nnr06IEjR46EZAXT3NwMk8mEkSNHuv2aG264AaWlpbLv3A4dOlQKFef1k+M4DB8+HA0NDW7/RgaDocPr2rwle7iofQOu9vapybp169CzZ08MHjy40+c988wzWLhwoZ9a9V9arRZ6vR41NTWdPo8xJl10lp6ejvDwcCQlJSElJQXFxcWyLxNitSEGhViJOM8pptFopCvhnYkbA3Fj4YsdtMGDB6O2trbLYBUEAWfOnMGJEyeQnp6OSy65BPHx8ejVqxdiY2NRVFQke9vUbvPmzRg7dqxHv0tYWBh69uyJf/3rX7K2pbM2iFMeubMTIS6Dcl+f5bPKRa6VQu7zLhQu7lu/fj3WrFnT5W85depUGAwGj/pWrt8hJycH1dXVHb4fYwxVVVUQBMFlVA/HcejVqxdsNpt0O2K5OC9rzrNrO3+2WJm0rXA6ughTzuU2LCwMqampOHLkSIfVk8lkwtGjR9HY2Ihhw4YhNTXVpf2DBg1CQ0NDSK1PPM+jsbEREyZM8Pi1N998Mw4dOuTX/ho1ahRKS0u7/ExxuLTcOzKqPOcC+GaPTavV0nkXD7z11ltuXXGt0WgQFhbm9p6sw+HA0qVLu9s8ABfmS9LpdKivr2/3cYvFgrq6OuTm5rY7HD4tLQ2lpaWytMX5fZ0PfYlDp9s+JywszOUEeUcbAbmGNzvLyckBx3E4ceIEbDabVGVZrVacOXMGR44cQWxsLPLy8hAVFXVR+8XJXQ0Gg6ztUrNdu3YhMTHRq2G6UVFR0Gg0XVbZchJvDNfVNq+oqMjrGSk6I2u4qH0vprvVS9v7dQS7Sy65xO3n3nPPPViwYIFbz/3000/x3XffedssFxzHoX///qisrLxoAywIAoqLi5Gent5hyZ+amiptXOUkhodOp+twR0msYBwOB3ieh8PhaPf5Go1G9nDhOA55eXkALlyVfeLECfz66684fPgwjEYjBg8ejH79+nV60jorKytkLspkjGHPnj248cYbvXo9x3G47LLL8OWXX8rcss4/Mz4+vsudvtraWo/WdXf5pHJR04l8Z90dFi0eP3c4HCF5MrMz9913H86cOePWRnrVqlX44x//KNtnh4eHIyYmBmVlZS73vS8pKUF0dDSSk5M7fK24gZd7D9zdC4PFiQ7FWz2093xf3f5Bp9PhkksuwcCBA5GYmIiUlBQMGTIEgwcPRmxsbJdtT01Nbfe8UTASd0ASExO9fo+RI0e6PQBFLsOGDet0KhexLb64/bVqD4v5ikaj8Wj8t0g8Hi6O+BGPpZMLxBErHR2eEjHG0Nra6tVx645wHIfs7GyYzWZUVVXBZDKhrKwMPM8jKyury41kenq6LHMpeUMMN51Op8jdKjmOQ2xsLNLS0tCzZ892D4F19lpA/Ucs5PDdd98hIyOjW7+PRqOBTqfD2bNnZWxZ58Rbc3e0MyweMvPFcheS4QJ4tkI4B4vziB86f+Nq0qRJeP755zt9zq+//oqwsDDZ98Y1Gg0GDBgAs9mM06dPQ6vVIjc3163PSUhIUHxnobMqR61HAgB0er4rmBQVFWHq1Kndfp/LLrsMX3/9tQwtcg/HcYiKiupwNouysjKf3d5atjU8UPZePN3bch5K2na0Tyidf3HH/PnzsWfPnk77ZP78+XjooYd88vniNSy5ubnS1DTuEH9Xbypaf1Ljspaeno4zZ84o3QyfEpcLOTbCw4cPR2trq98PjXU0JPn06dMYNGiQTz5X9spFzr0sX5XdnowaE8vJtocs1Lw3qZSYmBhwHNfhvEbisOC77rrLZ20QR2p5+vtER0fj3LlzPmpV8EpNTZV9KLfa7N27FwkJCbKs82IlbTKZuv1e7oqLi5OmH3ImHpFJSkryyeeG3GExwP3Qcr7RWEcnWtW+t+tPHMfhmmuuwfz589t9/LvvvkNMTIzf71/vjvT0dI8n+/M3NVYuYnWoxrbJZc+ePbIcEhP169cP33//vWzv1xWO4xAREXFRhSluu3y1oxyy4dLVORPnw2EdUeIErNotWLAA+/fvb3durb/85S946aWXFGpZ5yIiIgCoeyOpxrYF+/Iv7t2npaXJ9p5XX32129PvyGX48OE4efKkyzJUVFSE+Ph4n31mSIYLgE7PmTiXkF0FiC/vSR6IIiMjERcXh61bt7r8+8mTJ2G32zFu3DiFWtY5tY988sWFlHLy52Eef2psbJR9tuDY2Fi/n6+Nj48HY8xlyp/KykoMGzbMZ58pa7gE0l6MOL9T2wkExWDp7HCY83sE0nf2l+XLl+PFF1+UKkNBEDB79mw899xzqu4vrVaL5uZmpZvRLo1Go9rgi42NDdrzVd9++63sJ7zF7UZjY6Os79vVZ/bp00c6qmCz2QD8d6iyL8gWLmreaHREPOTlPMmgu8FCOjZ06FBkZGTgxRdfRENDAxYtWoT4+HjcdNNNSjetU8nJyardSKp5WUxLS8P58+eVboZPVFZW4je/+Y3s7ztgwAD885//lP19OzN48GA0NTXBYDBg//796N27t0+Xq5A9LAb8d2QRAOnKe/EmTWpemdWO4zisW7cOxcXFeOCBB3Dy5Em8/fbbqu/TlJQUn03B311q7rukpCTVVlXdlZmZ6ZO9+9/85jd+nWcMuLAznZeXh4MHD8Jut2PIkCE+/TzZhu2oeeHq6li18yEHjuM8Ph6q5hXfWzqdDj///HO33mPmzJk4d+4cevXqhaNHj170uDuTYrbFcRyampq61a7OiDMle8uX50W6c0+izoaIyyEzMzPohiRrNBqMHDnSZ7fTzs/P9/qGdRzHoa6uzuPXhYWFITs7G2FhYV1Wm90NVY7JkAr+ChZvNuKeto0x5tXnBFvAeHKfdbPZ7NWCqNVqPb6HhCcbb8YYLBaLV23zZgYBb2454K9lzZPZJKxWK3Q6nceDVcTzmMHC0yq2ubkZcXFxHr1GnFvOU578noIgwGq1erwedPf3lCVcPCFWBWo8GS5Of06HxdxnMBhQVVWFPn36+HRYoycYY2hpaUF9fT1sNhtycnJkvxFSd4mTn4obF7Usb4wxnDx5EhqNBllZWaq8JkltxD6rrq7G2LFjfXqS3BM8z6O2thY1NTXQarXSLNj+4vfdDDFUxJPnajqcJq7kXd3jnFzwxRdfYNKkSfjss88QGxurdHPAGENjYyNOnDiBkpISMMaQkZGhumABIFUGgiDAbrerZpnjOE66oPTYsWN0kXAXGGP49ttvsWXLFqSkpKgiWBwOB0pLS/Hjjz/i6NGjCA8PR25urt/b4ffKxZnzuQ01VTJ0Yr9rX3zxBV544QVMmzYNzz77rKKHQ8RQqa6uhtVqRVxcHHr16uWTacR9ged56TCHWiqZ1tZWHDt2DHq9HkOHDqUKph2MMXzzzTf49ddfcc011/hsji53ORwOnD59GqdPnwbP80hPT0dWVpZ0gbC/KRouIjWGDAVMxz777DO8+OKLuOWWW/Dss88q1j9tQyU+Ph5paWkBEyptiYdlGWOqCBnxVscUMBdzDpapU6f65GZb7hJDpby8HIIgKB4qIlWEi6htyDj/VwkUMBfbvHkzFi1ahN///vd4+umnFemXYAuVttQUMs4BM2TIEFUeYvQ3xhi2b9+O48ePKxosDocD5eXlOH36NARBQEZGBrKyshAeHq5Ie9pSVbiI2g4FVrKaoYD5LzFYbr31Vjz11FN+7w/GGBoaGlBTUyOFSq9evVRxnNsX1BIyFDD/5Rws1157LQYOHOj3NtjtdunwlxpDRaTKcBGpJWQoYIBNmzbhr3/9K2677TY8+eSTfu0HMVSqq6ths9mQkJCAtLS0oA2VttQQMmLAhIWFYejQoSEZMIwxbNu2DSdOnMB1112HAQMG+PXznUNFHKzSr18/1YWKSNXhIlJDyIRywHz88cdYvHgxbr/9djzxxBN++/6hHiptKR0yoRwwgiBg27ZtKCoq8nuw2O12lJeX48yZM1KoZGVlQa/X+60N3giIcBEpHTKhGDAfffQRXn75Zdxxxx14/PHH/fK9GWM4f/48ampqKFTaoWTImM1mHD16FDqdLmQCRhAEfP311yguLsZ1113nt2G9NptNqlSAC7Mg9OvXT/WhIgqocBEpGTKhFDAffvghXnnlFcyYMQOPPvqoz79v21BJTExEWlqa4qNe1EoQBGnSVX+GTCgFjBLBYrPZpEoFCLxQEQVkuIiUCplQCJgPPvgAS5YswV133YV58+b59HtSqHSPEiEjBoxWq8XQoUMDbsPnDkEQsHXrVpw6dQq//e1v0b9/f59+XrCEiiigw0WkRMgEc8D84x//wNKlS3H33Xdj7ty5Pvt+giBIoWK32ylUusnfIRPMAeMcLNdffz1ycnJ89lk2mw1lZWU4e/YsOI6TQiXQK8KgCBeRv0MmGANGDJZ7770Xc+bM8cn3ahsqSUlJSEtLU+2ol0Djz5AJxoARBAFbtmxBSUmJT4PFarWivLxcCpW+ffuib9++AR8qoqAKF5E/QyaYAubvf/87li1bhpkzZ2L27Nmyfx8KFf/yV8hYLBYcOXIkKAKG53ls2bIFpaWluOGGG5CdnS37Z1itVpSVlaGioiIoQ0UUlOEi8lfIBEPAbNiwAStWrMB9992HWbNmyfo9BEFAfX09amtr4XA4pMNfFCr+4Y+QsVgsOHr0KDQaTcAGjBgsZWVluP7662UPFjFUzp49C41GE7ShIgrqcHHm6/nLAjlgxGB54IEH8PDDD8vWfjFUampqwPM8kpKSkJqaSqGiEF+HTCAHDM/z+Oqrr1BeXo4bbrgBWVlZsr23xWKRKhWNRoN+/fqhb9++QT9XW8iEi8iXIROIAfPuu+9i1apVePDBB/HQQw/J0m4KFXXzZciIAcNxHPLy8gIiYHiex5dffonTp0/LGizOoaLVaqVKJdhDRRRy4SLyVcgEUsC8/fbbeOONN/DQQw/hoYce6vb7tRcqaWlpAbGBCUW+ChnngBk6dKiqdyqcg+XGG29Ev379uv2ebUOlX79+yMzMDJlQEYVsuIh8ETKBEDBisDz88MN48MEHu/VegiCgrq4OtbW14HkeycnJSE1NpVAJEL4IGavViiNHjqg6YOQOFovFgtLSUlRWVoZ0qIhCPlxEcoeMmgNm3bp1WL16Nf7whz/ggQce8Pp9KFSCi9who+aAcTgc+PLLL3H27FnceOON6Nu3r9fvZTabpUpFp9MhKysLGRkZIRsqIgqXNuQMGTUGzJo1a7BmzRrMnj0b9913n1fvwfO8dPhLEAQKlSAjZ8hYrVYcPXoUjDHk5eWpImAcDge++OILVFRU4KabbkJmZqZX72M2m6VKJSwsTKpUtFqtzC0OTBQuHZArZNQUMGKwzJkzBzNnzvT49TzPS5WKIAjo0aMHUlNTg3YoZaiTK2TUFDByBEvbUBErFQoVVxQuXZAjZMRZbJUKGMYY1qxZg7Vr1+KRRx7Bvffe69HrKVRCmxwh4xwwQ4cOVWSKH4fDgc8//xyVlZVeBYvZbEZJSQmqqqooVNxA4eKm7oaMUgHDGMPq1avx1ltvYd68ebj77rvdfq1zqDDGpMNfFCqhqbshY7PZcOTIEUUCxjlYbr75ZmRkZLj9WpPJhNLSUlRVVUGv1yMrKwvp6ekUKl2gcPFQd0LG3wHDGMObb76Jt99+G48++ijuuusut17H8zxqa2tRV1cHxhh69OiBnj17UqgQAK4hw3EctFotNBqNW6+12Ww4evQoBEHwW8A4HA589tlnqKqqwrRp05Cenu7W60wmE0pKSnDu3DkKFS9QuHjJ25ARA8aTFdLb9r3xxht455138Nhjj2HGjBlutY1ChbjL25ARA4bneeTl5fk0YMRgOXfuHG6++Wa3gqW1tRWlpaUUKt1E4dJN3oSMrwOGMYZVq1Zh/fr1eOKJJ3DHHXd0+nyHwyEd/gIgnVMJ9aGUxD3ehIw/AsZut+Ozzz5DdXU1pk2bhj59+nT6/NbWVpSUlKC6uhrh4eFSqPhyJzCYUbjIxNOQ8VXAMMawcuVKbNiwoctgcTgcUqUCUKiQ7vE0ZJwDZujQobLextqTYBFD5dy5c4iIiKBQkQmFi8w8CRm5A4YxhhUrVuC9997DU089hdtuu63d57UNlZSUFPTs2ZNChcjCk5DxRcDY7XZ8+umnqKmpwfTp09G7d+92n2c0GqXDXxEREcjOzkafPn0oVGRC4eIj7oaMXAHDGMOyZcvw/vvv45lnnsHvf//7i55DoUL8yd2QsdvtOHr0KBwOR7cDxm63Y/Pmzairq8O0adPaDRaj0Sgd/qJQ8R0KFx9zJ2S6GzCMMbz22mv4xz/+0W6wOBwO1NTUoL6+HgCFCvEvd0JGjoCx2Wz49NNPUVdXh+nTp6NXr14uj7e0tKC0tBTV1dWIjIxEdnY2evfuTaHiIxQuftJVyHQWMIwxnD9/HkajETExMUhOTpZezxjD0qVL8cEHH+DZZ5/F7373O+l1bUOlZ8+eSElJoVAhiugqZLoKmM7WA5vNhs2bN6O+vv6iYGlpaUFJSQlqamooVPyIwsXPOguZtgFjMBiwfv16rFy5EiUlJdLzcnJyMHfuXNx999146623sHHjRsyfPx/Tp08HcGElra2tRX19PTiOkyoVGkpJ1KCzkBEDxm63Y+jQoYiKiupyPbj99tvxz3/+E+fPn8f06dORlpYG4OJQycnJQe/evRWfhilUULgopKOQEQPmu+++w+9+9zuYTCbp+SKO48AYkybLe+mllzBt2jTY7XbU1NTg/PnzFCpE9ToKGbvdjmPHjsFms+HcuXO48847O10PwsPDcf/99+N///d/kZaWhubmZpSUlKC2thZRUVFSpUKh4l8ULgprL2S2bt2K66+/3uWxjmg0GnzxxRcYPny4FCri4S8KFRIIBEGQ/sSQ4Xkea9euxdy5c7tcD8T15uOPP0ZWVpYUKjk5OejVqxeFikIoXFRCXIEMBgMyMjJgNpu7DBbgwooVHh6Ob7/9Fv3796dQIQGLMSZV7k1NTejbty8sFovb64Fer8fmzZsxYsQIChUVoDNaKsFxHDQaDTZs2ACTyeTWCgVcWCEtFgt++eUXpKWlUbCQgMVxHHQ6HcLCwvDee++5vYMFXFgPrFYriouL6RCYSlDloiKMMeTm5qK0tNTtlQq4sFJmZ2ejuLiYVioS8MT1wPnkvTtoPVAXChcVqa+vR0pKSrden5ycLGOLCPE/Wg+CAx0WUxGj0dit17e0tMjUEkKUQ+tBcKBwUZGYmJhuvT42NlamlhCiHFoPggOFi4okJycjJyfH4+PFHMchJycHSUlJPmoZIf5D60FwoHBREY7jMHfuXK9eO2/ePDqJSYICrQfBgU7oq4zBYEB6ejrMZjMEQejy+RqNBpGRkaioqEBCQoLvG0iIH9B6EPioclGZhIQEbNq0SbrupTMajQYcx2Hz5s20QpGgQutB4KNwUaEpU6Zgy5YtiIyMbHcGZfHfIiMjsXXrVkyePFmhlhLiO7QeBDYKF5WaMmUKKioqsGzZMmRnZ7s8lp2djWXLlqGyspJWKBLUaD0IXHTOJQAwxtDQ0ICWlhbExsYiKSmJTlqSkEPrQWChcCGEECI7OixGCCFEdhQuhBBCZEfhQgghRHYULoQQQmRH4UIIIUR2FC6EEEJkR+FCCCFEdhQuhBBCZEfhQgghRHYULoQQQmRH4UIIIUR2FC6EEEJkR+FCCCFEdhQuhBBCZPf/Oam6vYeWOf0AAAAASUVORK5CYII=", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.plot(metric='act')" - ] - }, - { - "cell_type": "markdown", - "id": "9e788b91", - "metadata": {}, - "source": [ - "Remove insignificant neurons" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "id": "ed4800ea", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model = model.prune()\n", - "model.plot()" - ] - }, - { - "cell_type": "markdown", - "id": "61c8eeb1", - "metadata": {}, - "source": [ - "Resize the figure using the \"scale\" parameter. By default: 0.5" - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "id": "5cb8d57e", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", 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- "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.plot(scale=2.0)" - ] - }, - { - "cell_type": "markdown", - "id": "03d4bf1b", - "metadata": {}, - "source": [ - "If you want to see sample distribution in addition to the line, set \"sample=True\"" - ] - }, - { - "cell_type": "code", - "execution_count": 13, - "id": "c6d24148", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.plot(sample=True)" - ] - }, - { - "cell_type": "markdown", - "id": "a3fa482a", - "metadata": {}, - "source": [ - "The samples are more visible if we use a smaller number of samples" - ] - }, - { - "cell_type": "code", - "execution_count": 14, - "id": "3856bcb6", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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5cgW3bt2q52qJ1MdwIapDQgg0atQI48aNAwCMGjUK//M//4N9+/bh0qVLvIUyuS2GC7kVKSWKi4uddnK8WbNmWLRoEWbNmoUff/wRu3btwpEjR3DlyhVldZmnp6eDqyR6egwXchtCCLRp0wbLly+HVqt1dDmPpFGjRnjuuedQWFioTOR7e3ujUaNGDq6M6OkIyaUp5CaklG6z0qp2YQCRq2K4EBGR6rgUmYiIVMc5F6JHdGcnn0NWRA/GngvRI0pJSYFWq0VKSoqjSyFyegwXIiJSHcOFiIhUx3AhIiLVMVyIiEh1DBciIlIdw4WIiFTHcCEiItUxXIiISHUMFyIiUh3DhYiIVMdwISIi1TFciIhIdQwXIiJSHcOFiIhUx3AhIiLVMVyIHoGUEsXFxQCA4uJi8O7gRA/GcCF6AKPRiGXLliEiIgJDhgyBlBJDhgxBREQEli1bBqPR6OgSiZySkPwIRnRfe/bswdixY2EymQDc/zbHPj4+2LJlCxISEhxSI5GzYrgQ3ceePXswcuRISClhs9l+9XkajQZCCOzYsYMBQ3QHhgvRXYxGI1q2bInKysoHBkstjUYDb29v5ObmwmAw1H2BRC6Acy5Ed1m7di1MJtMjBQsA2Gw2mEwmrFu3ro4rI3Id7LkQ3UFKiYiICGRnZz/WijAhBMLCwpCZmanMxxA1ZAwXojsUFBQgODj4qV4fFBSkYkVEronDYkR3KC8vf6rXl5WVqVQJkWtjuBDdwc/P76le7+/vr1IlRK6N4UJ0h6CgIISHhz/2vIkQAuHh4WjcuHEdVUbkWhguRHcQQmDmzJlP9NpZs2ZxMp/oNk7oE92F+1yInh57LkR3MRgM2LJlC4QQ0Gge3ERqd+hv3bqVwUJ0B4YL0X0kJCRgx44d8Pb2hhDinuGu2mve3t7YuXMnhg0b5qBKiZwTw4XoVyQkJCA3NxdLly5FWFiY3WNhYWFYunQprl27xmAhug/OuRA9AiklEhMTMXjwYOzfvx/x8fGcvCd6APZciB6BEEKZUzEYDAwWoodguBARkeoYLkREpDqGCxERqY7hQkREqmO4EBGR6hguRESkOoYLERGpjuFCRESqY7gQEZHqGC5ERKQ6hgsREamO4UJERKpjuBARkeoYLkREpDqGCxERqY7hQkREqmO4ED2E2WzGtWvXcP78eQDApUuXUFRUBJvN5uDKiJwXb3NM9CuMRiO2bNmCr7/+Gunp6SgrK0NNTQ28vLwQHByMZ599FlOmTEH//v2h0+kcXS6RU2G4EN3HsWPHMGfOHJw5cwa9evXCyJEjER0dDT8/PxiNRpw6dQrbt29HVlYWxo0bh/fffx/BwcGOLpvIaTBciO6yd+9eTJ48GX5+fvjoo48wYsQI1NTUYMOGDaiurkZAQADGjx8Ps9mMDRs2YNGiRYiMjMT69esREhLi6PKJnALDhegOFy9exPDhw+Hr64sNGzagc+fOEEIgOzsb3bt3R0lJCdq2bYtTp04hMDAQUkocPnwYEyZMQFxcHNasWQO9Xu/oH4PI4TihT3Sb1WrFhx9+iOLiYqxYsUIJlgcRQmDAgAH4+OOPsW3bNuzevbueqiVybgwXotuysrKwfft2jBkzBgMGDHhosNQSQmD06NHo06cPVq9eDYvFUseVEjk/LnEhuu3o0aMoLy/H2LFjkZOTg4qKCuWx3NxcWK1WAEBNTQ3S09MREBCgPN68eXOMGTMGixYtQn5+Plq2bFnv9RM5E4YL0W0ZGRnw8fFBWFgYpk2bhiNHjiiPSSlRXV0NAMjLy8PQoUOVx4QQ+Nvf/oaoqCiYTCbk5eUxXKjBY7gQ3VZZWQmdTge9Xo/q6mpUVVXd93lSynses1gs8Pb2tgshooaM4UIN3uXLl5GYmIikpCSYTCYYjUbExsbC19dXeU5lZSWOHj2qhEi/fv2UjZNCCLRu3Ro3b96EzWZDfn4+ampq4Onp6agficjhuBSZGpwrV67g4MGDOHjwIBITE/Hzzz9DCIG2bdsiJycHK1euxNSpU+1ek52djV69eqGkpAShoaH48ccfYTAYlMeFEHj77bexYsUKxMTEwMfHB5GRkYiJiUG3bt3QqVMneHh41PNPSuQ4DBdye9euXUNiYiIOHTqExMREZGdnAwC6du2KuLg4xMXFYeDAgbDZbBgwYAACAwOxe/duuwn7X9vnAvwyTJaXl4dBgwZh1KhRmDFjBlJTU5Gamoq0tDSUl5dDr9fbhU3Hjh15ZAy5NYYLuZ38/Hy7MMnMzAQAdOnSRQmTQYMGISgo6J7Xrly5Em+88Qbmz5+PefPmKQHwoHCpqqrC7NmzsX37dhw4cAAdOnRQ3s9ms+HSpUtITU1FSkoK0tLSYDKZoNfrERUVpYRN+/btGTbkVhgu5PJu3ryJgwcPKmGSkZEBAOjUqZNdmDRp0uSh71VRUYHf/e532LlzJ/785z9j+vTp8PLywuXLl9G7d29lWCw5ORkGgwFlZWX44IMPsGrVKixZsgSvvvrqA9/farUiMzNT6dmcOXMGlZWV8Pb2RlRUFLp164aYmBhERERAq9Wq8vdD5AgMF3I5BQUFOHTokBIm6enpAID27dsrYRIXF4emTZs+0fvfunULM2bMwL///W8kJCRgzpw56NSpEy5cuACbzQZPT0+0a9cOycnJ+OSTT5Camop3330X06dPf+xAsFgsuHjxIlJSUpCamoqzZ8+iuroaPj4+iI6ORrdu3dCtWzeEh4dDo+GeZ3IdDBdyesXFxTh06JAyCX/mzBkAQHh4uF2YtGjRQrXvWVFRgdWrV+PTTz/FjRs3EBYWhoiICPj7+6O4uBgXLlxAXl4eevTogYULF2LQoEGq/PK3WCzIyMhQhtHOnTuHmpoa+Pn52YVNWFjYI58gQOQIDBdyOiUlJfjhhx+UMElNTYWUEqGhoYiPj8egQYMQHx+PVq1a1Xkt+fn52L9/Pw4dOoTs7GxUVVUhMDAQXbp0wbBhwxAbGwsfH586+/5msxnnz59XwiY9PR1msxn+/v6IiYlR5mxCQ0MZNuRUGC7kcGVlZUhKSlKGuU6fPg2bzYaWLVsiPj4ecXFxiI+PR2hoqEPrtFqtkFJCo9E4bIiq9uiZ2jmbn376CRaLBQaDAV27dlXmbFq3bs2wIYdiuFC9Ky8vx5EjR5SeyY8//gir1YrmzZvb9Uw49PNw1dXVOHfunNKzycjIgNVqRWBgoNKr6datG1q0aMG/S6pXDBeqcyaTCUePHlXCJDk5GRaLBSEhIXZhEhERwV+AT6myshLp6elISUlBSkqKsgghKCjILmyaNWvGv2uqUwwXUl1VVRWOHTumhMnx48dhNpsRHBysLAuOj49Hx44d+QuujplMJpw9e1bp2Vy8eBFSSjRp0sRuzuZJV9YR/RqGCz216upqnDhxQtm4eOzYMVRXV6Nx48Z2YRIZGckwcbDy8nKcOXNGmbPJysqClBJNmzZVgiYmJuaR9gQRPQjDhR5bTU0NTp48icTERBw8eBBHjx5FVVUVDAYDBg0apIRJVFQU92Y4ubKyMpw5c0YZRqs9GqdZs2bKEFq3bt3ue5oB0YMwXOihzGYzTp06pYTJkSNHYDKZEBAQgIEDByr7TLp27cpd5S6upKTELmxycnIAAC1btrTr2TRu3NixhZLTY7jQPSwWC1JSUpQwOXz4MMrLy+Hn54dnn31W6Zl069aN52G5OaPRqAyhpaSk4MqVKwCA1q1bK0ETExNjd0I0EcBwIfyyfyMtLU0Jk6SkJJSWlsLHxwcDBgxQeiY9evTgsfENXGFhIdLS0pTjanJzcwEAoaGhyhBa165d7U6UpoaJ4dIA2Ww2nD17VgmTH374AUajEV5eXujfv78SJr169eINr+iBCgoKlF5NSkoKrl+/DgAICwtTwiY6Ohr+/v4OrpTqG8OlAZBSIj09XQmTQ4cOoaioCHq9Hn379lXCJDY2Fnq93tHlkgu7efOmXdjcuHEDQgi0a9dOmbOJjo62u8snuSeGixuSUiIjI8MuTG7dugUPDw/06dNH2bjYt29feHl5ObpccmPXr1+3m7O5desWhBBo3769MmcTFRVVp+ezkWMwXNyAlBKZmZlKmBw8eBA3btyATqdD7969lTDp168fGzE5jJQS169fV3o1qampKCwshEajQYcOHZRhtC5duvBDjxtguLggKSWys7PtwiQvLw9arRY9e/ZUDnvs168f/Pz8HF0u0X1JKXHt2jW7sCkuLoZWq0XHjh2VsImMjORwrQtiuLiInJwcuzC5evUqNBoNunfvroRJ//79uUqHXJaUEleuXFGG0FJTU1FSUgKdTofOnTsry54jIyO50MQFMFxcRKdOnXDx4kXExMQoYTJgwADuLyC3JaVETk6OEjSpqakoKyvDO++8g/j4eEeXRw/BcHERtf9MPJuLGiopJaqqquDp6cmTIFwAw4WIiFTHsztUUrtiq7Cw0NGlPBWNRoMuXbpwHwI9NiklcnNzUVpa6uhSnooQAm3btoW3t7ejS3FpDBeVSCmxZMkStGrV6rFWaEkpsWvXLhw8eFC51qFDB4wfP94hv+CTkpKwYMECREdH1/v3JtcmpcSmTZvQpEmTp/rFnJ2djf3798NqtUIIgb59+yIqKgpmsxkHDhxATk4OfH190b9/f4SGhqp+8nZaWhomTZqE8PBwVd+3oWG4qEiv12PKlCkICQl55Ndcu3YNS5cuhdlsVq6dP38e5eXlePPNN+v1yHopJcrLy8GRUnpSHh4eGDFixBOfmlxdXY233noL1dXVyrWffvoJHh4eqKysRE5ODiwWC0pKSnD48GEEBwdj3LhxqvUypJSorKxkG1ABw8WBbDYbTp48qZzHVMtqteJ///d/odPp8Ic//AFNmjThRD41CBUVFcrJy7UKCgqwf//+e55bWlqK9evXw2Aw4MUXX2QbcTK8k1M9klKipqYGRqMRpaWlWLlyJV5//XW7XkutoqIivP/++5g1axZqamocUC1R/TKbzdizZ889czadO3fGyy+/jK5du97zGpvNhnPnzkFKyd6Gk2HPpZ5IKfHTTz9h3rx5OH/+PPz8/HD+/HlYrVbExsaiffv2OHHiBC5dugSr1aq87tChQ7h58yZatWrlwOqJ6lZ1dTW+/vprbNiwAVarFe3bt4dOp0OHDh0wbtw4NGnSBDdv3sSnn36KU6dO2Q2bXbhwAZs3b1bOzmvatCl7MU6A4VJPjEYjpk+fjiNHjijX9Ho9Zs2ahXnz5iEwMBBGoxFz5szBV199pTznmWee4REu5LZq966sWbMG27ZtAwC88MILeO2116DX66HVaiGEgBACTZo0wcKFC3H69Gls3LgRhYWFKCsrQ25uLj7//HMAwLZt2/Dhhx+iefPmjvyxCAyXeiGlxL59+3D8+HG76+3bt8fChQuV8AgMDMQ777yD69ev4/jx46ioqIBOp4PNZoOUkp/GyK3ULiD57LPPsHfvXmi1WowdOxaTJk2CXq+/5/+7EAKenp6IjY1F9+7dYbFYsH//fixevFh5zs8//4wTJ05g9OjRbC8OxnCpY1JKJCUl4a233rIb7gKAgQMH2p1SLIRAWFgYvv32WyQnJ2PcuHFIT0/HmDFj8B//8R/43e9+x1ONyaVJKWE2m5Gamorr168jOTkZx44dg4eHB1555RW89NJLDz03rDZkPD090axZM+h0OlgsFuVx3nrbOfBfoY5ZLBb893//Ny5fvqxcE0KgX79+ePPNN+/76czHxwe9evVCaGgoCgoKcPjwYRw/fhwWiwX/+Z//yU9k5LJsNhu++OILbN26VVnI4u3tjddeew2jRo167GCIjIxEXFwcDh06BIvFAikl0tLS0Lp1a7Rt2xb+/v5sLw7C1WJ1zGq1ori42O5a69atsX79ejRv3vxX/+MXFBTYBZLFYsHevXvv6f0QuZLCwkLs2bPHboVkly5dnihYAMDLywtvvPEGFi9ejMmTJ0On02H//v2YO3cu3nzzTeTl5XEVmYMwXOqIlBKlpaX45z//CZPJpFzX6XSYMGECWrVq9cBPVI0aNUKLFi3srrVv354H9pHLstlsKC4uthvCAn75v/6km4WFEPDy8kKXLl0QFxen3PfFYrEgIyMD//d//8el/A7CcKkjFosFc+fOxZQpU3Du3DkAQN++ffH3v/8db7/99kO76o0aNcJf//pXdOvWDTqdDhqNBgMGDKiP0olUZ7PZsGvXLsyfPx8VFRUAfgmGkJAQ1TZAWiyWe3r2R44cQVZW1lO/Nz0+hksduX79OrZt2wabzaZca9q0KV566SX4+Pg8tDEJITB48GDs378fCQkJsNls+Pbbb+3ej8hVFBYW4ssvv0RBQYEyTNWrVy8sWbIEkZGRqoRLixYt0KNHD7trZrMZSUlJqKysfOr3p8fDcKkjer3+nvuABwQEPFYjEkIgICAAr7zyCrRaLfbt24esrCyOIZPLKS8vtxseBgCDwaDqhkdPT09MnTrVbji59jDNb7/9lu2mnjFc6kDt4Xe1dDodoqKinmillxAC8fHxaNu2LW7duoXx48dj9erVHEcml9K0aVO0bNlS+drLy0v1YV4hBNq0aYM//elPdieK22w2HDx4kIey1jOGi8pqg2Xx4sXIzc1V9q18//33iI6OfqJPaSUlJSgvLwcAnDlzBnPmzMH333/PhkIuo6ioCAUFBcrc4YIFC9CvXz/VlwkLIdC6det7duhnZWVh06ZNqn4vejCGi4psNhvWr1+P+Ph4rFmzBlqtFm+++SaGDx+O4ODgJ25IFy5cwM2bN5Wvq6qqcOLECbXKJqpTUkrs2bMHxcXFaNWqFebOnYu+ffvW2cpHHx8fTJ061W5Y2mazISUl5Z6ValR3uIlSRbdu3cKqVauU/8BeXl7o0KHDU386Cw8PxzPPPKMEjIeHB2JiYp62XKJ6UVBQgO+//x5CCIwYMeKx5x4flxAC0dHRaNeunbJSEwCaN29er/dHauj4N60im81m98moqqoKFy5ceOr3jYiIwPLly9G1a1cIIRAcHIzevXs/9fsS1TUpJRITE3Hjxg2EhIQgPj6+XnbM6/V6TJ8+HV26dIGHhwcA4Ny5c9i4cSOqqqrq/PsTw0VVGo3GbpdxQEAAoqKiVHnfsWPH4ptvvkFgYCDy8/MxefJkJCYmct6FnFppaSl27twJKSWGDh2KZ555pl6+rxACnTp1wvz58xEYGAgAyMvLwxdffIF9+/ax3dQDhouKgoOD8eGHH6JPnz7o06cPli9fjp49e6r2/hcuXEB5eTlsNhsSExMxderUe+7aR+QspJQ4fPgwrl69isDAQCQkJNTrOV9CCBiNRhiNRuWa1WrF3r17udqyHjBcVKTRaDBx4kQcOHAABw4cwMSJE1WdtDxx4oRdo7hy5QoOHDjAT2HkdKxWK65evapsJI6Li0OzZs3qvY7g4GCl51KroKCA4VIPGC4qE0JAr9ff934UTysyMtJuQrL2BFgiZ2K1WrFx40bMnDkTmZmZ8PDwQFxcnENOJzYYDBg6dKhdu4mKiuKtK+oBw8VFCCEwaNAgtGnT5p7rd54wS+Roly9fxjfffIPS0lIAvxzBcueqrfqk0Wjw8ssv4/XXX0dISAgA4OzZs/jqq694JEwdY7i4kBYtWuCzzz5DUFCQcm3VqlVYt24dh8bIadTeRfVORUVFDqrml30vzz//PPz9/QH8cu7funXrsGPHDrabOsRwcSFCCERGRtqtSKuursbmzZt5nxdyChaLxe4+RMAv+7IcvXS+qKgIeXl5ytc2mw1nz55luNQhhouL8fHxuWeCMiQkhJvDyCmUlpbeMw84YMAAZY+WoxgMBmVYDPjlg1pERATvUlmH+BvJxRgMBixatAitW7eGEAJarRZjxoxhIyGncXdvoFu3bvD09HRQNb/w9/fHnDlzlOP9/fz8HLbIoKFguLgYIQR++9vf4tChQ+jduzesViuSkpLYvSenoNVq7c70MhgM6Ny5s8N/iQsh0KVLF8yfPx+NGzdGRUUFLl++zHZThxguLkgIgVatWmHixIkQQuC7775DQUGBo8siQkBAAN544w3ExcUhLi4O8+fPR9u2bR1dFgAoRyd17twZNpsNJ06cYLjUIYaLixJCYOTIkQgJCUFOTg43U5JTEEKge/fuWLBgARYsWIDu3bs71XygRqNBbGwshBBIS0tTbmVB6nOef3V6bK1atcLQoUNhtVrxj3/8g/tdyGloNBpoNBqHD4fdTQiBrl27wt/fHzdu3OCdXesQw8WF1W4Q8/T0RFJSEi5evOjokoicXpMmTRAeHg6z2YyTJ086uhy3xXBxYUII9O3bF5GRkSgpKcGWLVv4KYzoITw8PBAbGwsAOHXqFI/gryMMFxfn7++P3/72twCArVu3oqSk5LFeL6WE1WpFaWkph9WoQaidF/Ly8sLVq1d5sngdYbi4OCEERo8ejcaNG+PChQs4fPjwI/depJS4efMmpk2bhl69euHFF1/EmTNn6rhiIsdr2bIl2rRpg6qqKpw6dYo9/jrAcHED4eHhiIuLg9lsxjfffPPIR8FIKfHXv/4VX375JbKysrB3717s2LGjjqslcjwvLy/06NEDAJCcnMxeex1guLgBnU6Hl19+GTqdDgcOHEBOTs4jfRKzWq1ITU21u8ZPcNQQCCHQq1cveHh44NKlS8jPz3d0SW6H4eIGao/jDw8Px61btzBnzhzs37//oT0YrVaL0NDQe64RNQTh4eFo1qwZKioqkJqayg9WKmO4uAkppbKnYOfOnRg3bhx++OGHX20wUkpkZ2cjMTERANCuXTtMnDhRWRxA5O58fX0RExMDKSVOnDgBm83m6JLcCsPFTaSnp+PSpUvK10ajEZs2bfrV59fU1OD9999HTk4OOnTogN27d+PLL79EeHh4fZRL5HBCCPTu3RsajQYZGRkoLCx0dEluheHiJoKCguDt7W137e6va0kp8d1332HTpk3Q6/VYuHAhQkNDneqYDqK6JoRAp06d8Mwzz8BoNCI9Pd3RJbkV/jZxEx07dsQf//hH+Pn5KcNjWVlZuHnzJsxmM6SUkFLi1q1b2L17NxYtWoSqqiqMGTMGo0ePdrpjOojqQ6NGjRAZGcmDLOsAw8VN6HQ6vPPOOzh48CCWLFkCX19f7Ny5E7GxsZgwYQIyMzNx4sQJDBs2DKNHj0ZGRgZCQkIwf/58h99rg8hR7j7I8tq1awwYlege/hRyFR4eHujWrRs6duyIDRs24Pjx47h69SquXr2KlJQUFBcXw2g0Ks+XUsLHx4e9FmrQQkJCoNPpkJ+fj7lz5yIkJAR9+/Z1dFkuj+HihmpqalBUVGR37e77mtc+r7q6ur7KInI6Ukrs2rVL2UR58+bNxz5Cie6Pw2JuyNfXVzmY79doNBr85je/QevWreupKiLnI6W854MYqYM9FxVJKVFcXAwPDw9Hl4K5c+fCbDbj9OnTiIqKQmpqqrJU2c/PD/PmzcPLL7+MiooKVFRUKK/jCbH0NKSUKC8vh07nGr9apJTo3r07Tp8+rexzcZXanZ2QnL1ShZQSS5YswaVLl5xml7vNZoPFYoFOp4PRaFRCxMPDA02aNLnv0uPKykr86U9/umfnPtHDSCmxadMmXLt2zWnawKOwWCwoLi5WwsXLywuvvfYamjZt6uDKXBvDRSW1S33dgRCCk/z02NgG6E4MFyIiUh0n9ImISHUMFxdRO+TAjiY1ZDabDSaTiYdMugCGi4tISUmBVqtFSkqKo0shcphLly5h5MiRdoe0knNiuBARkeoYLkREpDqGCxERqY7hQkREqmO4EBGR6hguRESkOoYLERGpjuFCRESqY7gQEZHqGC5ERKQ6hgsREamO4UJERKpjuBARkeoYLkREpDqGCxERqY7h4gKklCguLgYAFBcX84Zh1CBJKVFUVISqqioUFRWxHTg5hosTMxqNWLZsGSIiIjBkyBBIKTFkyBBERERg2bJlMBqNji6RqM7d2Q769OmD48ePo0+fPmwHTk5Ixr9T2rNnD8aOHQuTyQQAdp/ShBAAAB8fH2zZsgUJCQkOqZGorrEduC6GixPas2cPRo4cCSnlA+8VrtFoIITAjh072LDI7bAduDaGi5MxGo1o2bIlKisrH9igamk0Gnh7eyM3NxcGg6HuCySqB2wHro9zLk5m7dq1MJlMj9SgAMBms8FkMmHdunV1XBlR/WE7cH3suTgRKSUiIiKQnZ39WCthhBAICwtDZmamMg5N5KrYDtwDw8WJFBQUIDg4+KleHxQUpGJFRPWP7cA9cFjMiZSXlz/V68vKylSqhMhx2A7cA8PFifj5+T3V6/39/VWqhMhx2A7cA8PFiQQFBSE8PPyxx4uFEAgPD0fjxo3rqDKi+sN24B4YLk5ECIGZM2c+0WtnzZrFSUxyC2wH7oET+k6G6/uJ2A7cAXsuTsZgMGDLli0QQkCjefA/T+3O5K1bt7JBkVthO3B9DBcnlJCQgB07dsDb2xtCiHu6+bXXvL29sXPnTgwbNsxBlRLVHbYD18ZwcVIJCQnIzc3F0qVLERYWZvdYWFgYli5dimvXrrFBkVtjO3BdnHNxAbX3sSgrK4O/vz8aN27MSUtqcNgOXAvDhYiIVMdhMSIiUh3DhYiIVMdwISIi1TFciIhIdQwXIiJSHcOFiIhUx3AhIiLVMVyIiEh1DBciIlIdw4WIiFTHcCEiItUxXIiISHUMFyIiUh3DhYiIVPf/hGgb1R510JEAAAAASUVORK5CYII=", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.get_act(dataset['train_input'][:20])\n", - "model.plot(sample=True)" - ] - }, - { - "cell_type": "markdown", - "id": "4fa7ca2c", - "metadata": {}, - "source": [ - "If a function is set to be symbolic, it becomes red" - ] - }, - { - "cell_type": "code", - "execution_count": 15, - "id": "3d502880", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "r2 is 0.9991374611854553\n" - ] - }, - { - "data": { - "text/plain": [ - "tensor(0.9991)" - ] - }, - "execution_count": 15, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "model.fix_symbolic(0,1,0,'x^2')" - ] - }, - { - "cell_type": "code", - "execution_count": 16, - "id": "f8f93b9c", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.plot()" - ] - }, - { - "cell_type": "markdown", - "id": "e75a0760", - "metadata": {}, - "source": [ - "If a function is set to be both symbolic and numeric (its output is the addition of symbolic and spline), then it shows up in purple" - ] - }, - { - "cell_type": "code", - "execution_count": 17, - "id": "17df5fed", - "metadata": {}, - "outputs": [], - "source": [ - "model.set_mode(0,1,0,mode='ns')" - ] - }, - { - "cell_type": "code", - "execution_count": 18, - "id": "b5b13363", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.plot()" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "fb710b46", - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.7" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/tutorials/API_3_extract_activations.ipynb b/tutorials/API_3_extract_activations.ipynb deleted file mode 100644 index 3fc033b2..00000000 --- a/tutorials/API_3_extract_activations.ipynb +++ /dev/null @@ -1,131 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "134e7f9d", - "metadata": {}, - "source": [ - "# Demo 3: Extracting activation functions\n", - "\n", - "The KAN diagrams give intuitive illustration, but sometimes we may also want to extract the values of activation functions for more quantitative tasks. Using the indexing convention introduced in the indexing notebook, each edge is indexed as $(l,i,j)$, where $l$ is the layer index, $i$ is the input neuron index, and $j$ is output neuron index." - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "id": "2075ef56", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "from kan import *\n", - "import matplotlib.pyplot as plt\n", - "# create a KAN: 2D inputs, 1D output, and 5 hidden neurons. cubic spline (k=3), 5 grid intervals (grid=5).\n", - "model = KAN(width=[2,5,1], grid=5, k=3, seed=0)\n", - "x = torch.normal(0,1,size=(100,2))\n", - "model(x)\n", - "model.plot(beta=100)" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "id": "d3fe2e03", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "l = 0\n", - "i = 0\n", - "j = 3\n", - "x, y = model.get_fun(l,i,j)" - ] - }, - { - "cell_type": "markdown", - "id": "a9e62f17", - "metadata": {}, - "source": [ - "If we are interested in the range of some activation function, we can use get_range." - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "id": "1a978202", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "x range: [-2.32 , 2.70 ]\n", - "y range: [-0.11 , 0.24 ]\n" - ] - }, - { - "data": { - "text/plain": [ - "(tensor(-2.3217), tensor(2.6963), tensor(-0.1126), tensor(0.2444))" - ] - }, - "execution_count": 3, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "model.get_range(l,i,j)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "cc395fd0", - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.7" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/tutorials/API_3_grid.ipynb b/tutorials/API_3_grid.ipynb deleted file mode 100644 index 43e5f1dc..00000000 --- a/tutorials/API_3_grid.ipynb +++ /dev/null @@ -1,294 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "134e7f9d", - "metadata": {}, - "source": [ - "# Demo 3: Grid" - ] - }, - { - "cell_type": "markdown", - "id": "2571d531", - "metadata": {}, - "source": [ - "One important feature of KANs is that they embed splines to neural networks. However, splines are only valid for approximating functions in known bounded regions, while the range of activations in neural networks may be changing over training. So we have to update grids properly according to that. Let's first take a look at how we parametrize splines. " - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "id": "2075ef56", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "Text(0, 0.5, 'B_i(x)')" - ] - }, - "execution_count": 1, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "from kan.spline import B_batch\n", - "import torch\n", - "import matplotlib.pyplot as plt\n", - "import numpy as np\n", - "\n", - "# consider a 1D example.\n", - "# Suppose we have grid in [-1,1] with G intervals, spline order k\n", - "G = 11\n", - "k = 3\n", - "grid = torch.linspace(-1,1,steps=G+1)[None,:]\n", - "\n", - "# and we have sample range in [-1,1]\n", - "x = torch.linspace(-1,1,steps=1001)[None,:]\n", - "\n", - "basis = B_batch(x, grid, k=k)\n", - "\n", - "for i in range(G-k):\n", - " plt.plot(x[0].detach().numpy(), basis[0,:,i].detach().numpy())\n", - " \n", - "plt.legend(['B_{}(x)'.format(i) for i in np.arange(G-k)])\n", - "plt.xlabel('x')\n", - "plt.ylabel('B_i(x)')" - ] - }, - { - "cell_type": "markdown", - "id": "75af662c", - "metadata": {}, - "source": [ - "There are $G+k$ B-spline basis. The function is a linear combination of these bases $${\\rm spline}(x)=\\sum_{i=0}^{G+k-1} c_i B_i(x).$$ We don't need worry about the implementation since it's already built in KAN. But let's check if KAN is indeed implementing this. We initialize a [1,1] KAN, which is simply a 1D spline." - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "id": "4369a310", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "tensor(0.1382, grad_fn=)" - ] - }, - "execution_count": 2, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "from kan import KAN\n", - "\n", - "model = KAN(width=[1,1], grid=G, k=k)\n", - "# obtain coefficients c_i\n", - "model.act_fun[0].coef\n", - "assert(model.act_fun[0].coef[0].shape[0] == G+k)\n", - "\n", - "# the model forward\n", - "model_output = model(x[0][:,None])\n", - "\n", - "# spline output\n", - "spline_output = torch.einsum('i,ij->j',model.act_fun[0].coef[0], basis[0])[:,None]\n", - "\n", - "torch.mean((model_output - spline_output)**2)" - ] - }, - { - "cell_type": "markdown", - "id": "82150587", - "metadata": {}, - "source": [ - "They are not the same, what's happening? We want to remind that we model the activation function to have two additive parts, a residual function $b$(x) plus the spline function, i.e., $$\\phi(x)={\\rm scale\\_base}*b(x)+{\\rm scale\\_sp}*{\\rm spline}(x),$$ and by default $b(x)={\\rm silu}(x)=x/(1+e^{-x})$." - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "id": "7d76a3c4", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "tensor(0., grad_fn=)" - ] - }, - "execution_count": 3, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "# residual output\n", - "residual_output = torch.nn.SiLU()(x[0][:,None])\n", - "scale_base = model.act_fun[0].scale_base\n", - "scale_sp = model.act_fun[0].scale_sp\n", - "torch.mean((model_output - (scale_base * residual_output + scale_sp * spline_output))**2)" - ] - }, - { - "cell_type": "markdown", - "id": "3d72e076", - "metadata": {}, - "source": [ - "What if my grid does not match my data? For example, my grid is in [-1,1], but my data is in [10,10] or [-0.5,0.5]. Use update_grid_from_sample to adjust grids to samples. This grid update applies to all splines in all layers." - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "id": "46717e8b", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Parameter containing:\n", - "tensor([[-1.0000, -0.6000, -0.2000, 0.2000, 0.6000, 1.0000]])\n", - "Parameter containing:\n", - "tensor([[-10.0100, -6.0060, -2.0020, 2.0020, 6.0060, 10.0100]])\n" - ] - } - ], - "source": [ - "model = KAN(width=[1,1], grid=G, k=k)\n", - "print(model.act_fun[0].grid) # by default, the grid is in [-1,1]\n", - "x = torch.linspace(-10,10,steps = 1001)[:,None]\n", - "model.update_grid_from_samples(x)\n", - "print(model.act_fun[0].grid) # now the grid becomes in [-10,10]. We add a 0.01 margin in case x have zero variance" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "id": "de04db15", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Parameter containing:\n", - "tensor([[-1.0000, -0.6000, -0.2000, 0.2000, 0.6000, 1.0000]])\n", - "Parameter containing:\n", - "tensor([[-0.5100, -0.3060, -0.1020, 0.1020, 0.3060, 0.5100]])\n" - ] - } - ], - "source": [ - "model = KAN(width=[1,1], grid=G, k=k)\n", - "print(model.act_fun[0].grid) # by default, the grid is in [-1,1]\n", - "x = torch.linspace(-0.5,0.5,steps = 1001)[:,None]\n", - "model.update_grid_from_samples(x)\n", - "print(model.act_fun[0].grid) # now the grid becomes in [-10,10]. We add a 0.01 margin in case x have zero variance" - ] - }, - { - "cell_type": "markdown", - "id": "e418ca2c", - "metadata": {}, - "source": [ - "Uniform grid or non-uniform? We consider two options: (1) uniform grid; (2) adaptive grid (based on sample distribution) such that there are (rougly) same number of samples in each interval. We provide a parameter grid_eps to interpolate between these two regimes. grid_eps = 1 gives (1), and grid_eps = 0 gives (0). By default we set grid_eps = 1 (uniform grid). There could be other options but it is out of our scope here." - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "id": "d2c4f636", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Parameter containing:\n", - "tensor([[-1.0000, -0.6000, -0.2000, 0.2000, 0.6000, 1.0000]])\n", - "Parameter containing:\n", - "tensor([[-3.4896, -2.1218, -0.7541, 0.6137, 1.9815, 3.3493]])\n" - ] - } - ], - "source": [ - "# uniform grid\n", - "model = KAN(width=[1,1], grid=G, k=k)\n", - "print(model.act_fun[0].grid) # by default, the grid is in [-1,1]\n", - "x = torch.normal(0,1,size=(1000,1))\n", - "model.update_grid_from_samples(x)\n", - "print(model.act_fun[0].grid) # now the grid becomes in [-10,10]. We add a 0.01 margin in case x have zero variance" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "id": "b9b354c6", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Parameter containing:\n", - "tensor([[-1.0000, -0.6000, -0.2000, 0.2000, 0.6000, 1.0000]])\n", - "Parameter containing:\n", - "tensor([[-3.4796, -0.8529, -0.2272, 0.2667, 0.8940, 3.3393]])\n" - ] - } - ], - "source": [ - "# adaptive grid based on sample distribution\n", - "model = KAN(width=[1,1], grid=G, k=k, grid_eps = 0.)\n", - "print(model.act_fun[0].grid) # by default, the grid is in [-1,1]\n", - "x = torch.normal(0,1,size=(1000,1))\n", - "model.update_grid_from_samples(x)\n", - "print(model.act_fun[0].grid) # now the grid becomes in [-10,10]. We add a 0.01 margin in case x have zero variance" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "f7b8f994", - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.7" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/tutorials/API_4_initialization.ipynb b/tutorials/API_4_initialization.ipynb deleted file mode 100644 index 2dc1d378..00000000 --- a/tutorials/API_4_initialization.ipynb +++ /dev/null @@ -1,235 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "134e7f9d", - "metadata": {}, - "source": [ - "# Demo 5: Initialization" - ] - }, - { - "cell_type": "markdown", - "id": "6581dacd", - "metadata": {}, - "source": [ - "Initialization is the first step to gaurantee good training. Each activation function is initialized to be $\\phi(x)={\\rm scale\\_base}*b(x) + {\\rm scale\\_sp}*{\\rm spline}(x)$.\n", - "1. $b(x)$ is the base function, default: 'silu', can be set with ${\\rm base\\_fun}$\n", - "\n", - "2. scale_sp sample from N(0, noise_scale^2)\n", - "\n", - "3. scale_base sampled from N(scale_base_mu, scale_base_sigma^2)\n", - "\n", - "4. sparse initialization: if sparse_init = True, most scale_base and scale_sp will be set to zero\n" - ] - }, - { - "cell_type": "markdown", - "id": "6459e11a", - "metadata": {}, - "source": [ - "Default setup" - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "id": "c3faa4ed", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "from kan import KAN, create_dataset\n", - "import torch\n", - "\n", - "model = KAN(width=[2,5,1], grid=5, k=3, seed=0)\n", - "x = torch.normal(0,1,size=(100,2))\n", - "model(x) # forward is needed to collect activations for plotting\n", - "model.plot()" - ] - }, - { - "cell_type": "markdown", - "id": "c3e6d104", - "metadata": {}, - "source": [ - "Case 1: Initialize all activation functions to be exactly linear. We need to set noise_scale_base = 0., base_fun = identity, noise_scale = 0." - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "id": "90d2d5de", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model = KAN(width=[2,5,1], grid=5, k=3, seed=0, base_fun = 'identity')\n", - "x = torch.normal(0,1,size=(100,2))\n", - "model(x) # forward is needed to collect activations for plotting\n", - "model.plot()" - ] - }, - { - "cell_type": "markdown", - "id": "1d834a51", - "metadata": {}, - "source": [ - "Case 2: Noisy spline initialization (not recommended, just for illustration). Set noise_scale to be a large number." - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "id": "a23d4e55", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model = KAN(width=[2,5,1], grid=5, k=3, seed=0, noise_scale=1.)\n", - "x = torch.normal(0,1,size=(100,2))\n", - "model(x) # forward is needed to collect activations for plotting\n", - "model.plot()" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "id": "37884df0", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model = KAN(width=[2,5,1], grid=5, k=3, seed=0, noise_scale=10.)\n", - "x = torch.normal(0,1,size=(100,2))\n", - "model(x) # forward is needed to collect activations for plotting\n", - "model.plot()" - ] - }, - { - "cell_type": "markdown", - "id": "4641f36a", - "metadata": {}, - "source": [ - "Case 3: scale_base_mu and scale_base_sigma" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "id": "8d5348a7", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model = KAN(width=[2,5,1], grid=5, k=3, seed=0, scale_base_mu=5, scale_base_sigma=0)\n", - "x = torch.normal(0,1,size=(100,2))\n", - "model(x) # forward is needed to collect activations for plotting\n", - "model.plot()" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "id": "bb2b1358", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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ow0QqleLy5cvQarWoWbNmqZFJ3bp1BbFhPxsqdnZ28PT0LNN6W3wQYrjoZGdnY+XKlVizZg20Wq0+ZISwuGVJSQkuXryon0ZLSEiARqOBm5tbqWk0obwniWFQuJi4/Px8nDlzRr8D/sqVK9BqtahVq5Z+f0loaKjgviUWFhYiKyvLJEJFR8jhopOTk4NVq1Zh9erV0Gg0GDFiBMLDwwW1qKVMJsPFixf102hXrlyBWq2Gq6trqZFNYGCgUffzEcOicDExubm5OHPmjH45lYSEBDDGULt27VIjE6HObxcWFiIzMxNyudxkQkXHFMJFJzc3F7/99ht+++03qFQqfcgIcTFLmUyGS5cu6afRrly5ApVKBRcXl1LL1dSrV4/CxoRQuAhcTk6OfmRy+vRpXLt2DYwxeHt766+yKJFIBH8YqCmHio4phYtOXl6ePmQUCoU+ZIS8iKVcLsfly5f102iXL1+GSqWCs7MzgoKC9NNoxj6CkZQPhYvAZGdnIzo6Wj/Nde3aNQCAr69vqbW56tSpw3OlZVNQUICsrCzI5XLY29vD09OzTNc/ESJTDBed/Px8fcjI5XJ8+umniIiIQI0aNfgu7Y3kcjmuXLmin0a7dOkSlEolnJycEBQUpB/dNGjQoFJWhSAVQ+HCs8zMTERHR+unua5fvw7g6XLpulFJaGioyX2YmVOo6JhyuOgUFBRg9erVWLlyJWQyGYYNG4bJkyeb1ArJCoUCCQkJ+mm0ixcvQqFQwNHREa1bt9ZPozVq1IjChkcULkaWkZEBqVSqDxPdooEBAQGlwqR27do8V1oxBQUFyMzMhEKhMJtQ0TGHcNEpKCjAmjVrsHLlSpSUlGDo0KGYPHmySa6MrFQqkZCQoB/ZXLx4EXK5HA4ODqXCprLWuyMvR+FSydLT0/VTXFKpFLdu3QIABAYGlprmMsWN+lnPhoqDgwM8PDzMJlR0zClcdAoLC7F27VqsWLECxcXFGDx4MKZMmWLSKyKrVKoXwkYmk8He3h6tW7fWT6O98847BrnsA3k5ChcDe/z4camRyZ07dwA8DRNdkEgkEpOahnid50PF09MTtra2fJdVKcwxXHSKiorw+++/Y/ny5SgsLNSHjKmOoJ+lUqlw7do1/TTa+fPn9SfrPjuyadKkCYWNAVG4vKW0tLRSIxPdVf/q169fKkyEfHROReTn5yMrK6tKhIqOOYeLTnFxsT5kCgoKMGjQIEydOhXe3t58l2YwarUaiYmJ+rCJj4/Xr2HXsmVLfdg0bdq0QpfaJk9RuJRTSkqKflQSHR2tv155w4YNS+0zEeL5BG+LMaYfqSiVyioTKjpVIVx0iouLsW7dOixduhT5+fkYNGgQpkyZYjJHKZaHRqNBYmKifhotPj5efxG658PGysqK73JNBoXLGzx69Eh/jkl0dDTu378PAGjUqJF+ZBIaGiqoM6AN7flQcXR0hIeHR5UJFZ2qFC46JSUl+pDJy8vDxx9/jKlTp5plyOhoNBpcv3691MimqKgI1tbWpcKmWbNmFDavQeHynOTk5FLTXMnJyQCAxo0blwoTPhcGNBbGmH76Sxcqnp6esLGx4bs0XlTFcNGRyWT6kMnJycHAgQMxbdo0+Pr68l1apdNoNLh586b+pM7z58+joKAA1tbWaN68uT5smjdvDmtra77LFYwqHS6MMTx48KDUNNfDhw/BcRyaNGmin+Zq3769Ua+XwTcKlZeryuGiI5PJsGHDBkRGRiI7OxsDBgzA9OnT4efnx3dpRqPRaHDr1q1S02j5+fmwsrJC8+bN9UejNW/evEpvM1UqXBhjuH//fqmRSUpKCjiOQ9OmTfXLqbRv3x4uLi58l2t0FCqvR+Hy/8nlcn3IZGZm6kPG39+f79KMTqvV4vbt2/pptNjYWOTn58PS0hLNmjXTj2xatGhRpaaSzTpcGGO4e/duqTBJS0uDSCRCs2bN9COTdu3aVckw0dGFSmZmJlQqFZycnODh4UGh8hwKlxcpFAps3LgRS5YsQUZGBvr374/p06ejbt26fJfGG61Wizt37uin0eLj45GbmwsLC4tSYdOyZUuzDhuzChfGGJKSkkqFyePHjyESidCiRQv9SYvt2rWDk5MT3+XyjjGGvLw8ZGVl6UPF09OT5o1fgcLl1RQKBTZv3ozFixcjPT0dffv2xYwZMxAYGMh3abzTarVISkrSj2ri4uKQk5MDsViMZs2a6afRWrZsaVYnHpt0uDDGcOfOHf3+ktOnTyM9PR1isRgtWrQoNTJxdHTku1zBoFCpGAqXN1MqlfqQefz4sT5k6tWrx3dpgqGbUXl2Gi07OxtisRhNmjTRh02rVq1MbuXwZ5l0uKhUKnh5eUEul6NVq1b6kUnbtm0Fd4lcIcnKykJGRgaFSjlRuJSdUqnE1q1bsWjRIhQUFCAxMdGsvpUbkm5fsG4aLS4uDpmZmfj8888xZswYvsurMEGGy48//ggPD48yndWu1WordE2H7OxsjBgxoiLlCVJmZmaZQ0Kr1UKtVpf7GH2NRgNXV9eKlCdYBw4cKPM6WkVFRbh06RJatGhR6suLVqsFx3GvvJ5OUVERJBKJQeoVgl9++QWNGjUq0+8yxqDRaGBhYQGNRgOO48q0vWZnZ2PYsGFvW6qgLFu27I0jOK1WC5VKBbFYDI7jyr3QZm5uLgYOHPg2ZRqMIBfSuXHjBs6ePYuFCxfigw8+qJSLYI0YMcKswkWhUJTreumPHz+GWq0u17I0KSkpZhcuaWlp6N69e5l+V6PRoEmTJrCzs9Nv9CqVCr///jvs7Oxe+WG4du1aswqXW7duYcqUKeW6T2ZmJqZOnQpra2ssWLDgje+7MWPGmF24JCUlYezYsaX+TavVIjc3F7dv38alS5dw9epVZGZmokmTJvjwww/RvHnzcj3HtGnTKFxeh+M4fPfdd5g6dSpiYmLw7bffmvTco7GUNYQ1Gg3y8vIgEolgaWlZJU4IfZXyfDsUi8WlRntqtRqrVq2CQqFAYmIiOnXqZNZnrutwHAdLS0v9vrvExEQkJydDrVbDx8cHTZo0gbu7u/79WFRUhF69eiE0NBRisRh9+vRBfHy8oK+cWlnEYjEKCwtx//59XLx4EfHx8UhKSoKFhQXq168PiUQCLy8vnDhxApMmTcKkSZMwdOhQvsuuEEGGCwB88sknaNWqFcaNG4cePXpg1apVaNCgQZV8Qxrao0eP4OTkBHd3d9y/f79Kh0tFKZVKrF69GoWFhfjiiy9w4MABbNiwAXPmzKkS79GEhATs2rUL//zzDwCgZs2asLS0RGpqKpRKJQYMGID//Oc/yMzMxJw5c1CvXj383//9HziOQ82aNXHnzp0quZP/iy++wPXr16FSqeDr64vg4GCMHj0a/v7+cHJy0k+vdurUCVevXsXAgQPRu3dvODs78116uQk2XDiOQ4MGDXDo0CF899136NatG2bNmoWhQ4fSjsG3wBhDSUkJBXUFMcbw+PFjbNq0CRzHYcaMGbC2tkb37t1x7NgxHDlyBN26dTP73g4ZMgQhISH4/vvv0aJFCzg6OoLjOBQXFyMmJgZr1qzB9u3bIZfL0a9fP3z99df6EeLnn3+OTz75BOfPn+f5VRifl5cX+vbti3r16sHV1VW/b+V5IpEITZs2Rffu3TFhwgRs2bKFh2rfjmDDRcfOzg4//fQTOnXqhFmzZmHbtm2YPHkyevfuTVeVq4CMjAxYWVmV2qnKGDP7D8OK0B3rotVqoVQqkZGRoT+aJygoCH379tVPk+lOhvv777/RtGlTk77YVln8/fff8PX1fWHnvLOzM7p164b33ntPvy5fQEBAqffX1KlT8dNPP0GpVFa5hR+nTJlS5m2N4zj8+OOPaNq0qUn2SvDhAjxtcteuXREcHIwtW7bgq6++wp49e7B27VqTazifGGPIzs5+4exprVZbpYP64sWL0Gg0L/zIZDIUFhYiMzMTubm5kMvl8PHxwdixY1G3bt1SHxIcx6Fv3764ePEijh49is8++4zHV1T53rTMi6Wl5SvP0heLxahXrx4WLlyIr7/+ujLKE6zyfomzsbFBQEAAIiMjMWPGjEqqqnKYRLjouLq6YuLEiejfvz8GDBiAjz76CLt27aKrx5UBYwwZGRmwtLQsdQEk3Q7Gqrz8zfHjx/WHyIrFYv2PtbU1HBwc0KhRI1SrVg21atWCi4vLKw+l7dq1K2rUqIH169fTaPAN1q9fD4lEgtmzZ1Of3mD58uXo2bMnpk+fblK9MrlPZd0OwcOHD6NTp04YM2YMfv/9d5NqOh8UCgWys7MRGBhYqldOTk7Iycmp0uEydepUACh1rsqz/y3PNEaDBg0gk8lw4MCBSjuM3hwEBgZCq9UiPT0dNWrU4LscQfPz84NWq0VGRoZJXdG2/GcfCoSjoyOOHj2Kf//9Fz/99BMEeC6oIDDGoFar8eDBA9SoUeOFy7a6urpCLpfzVJ0w6EZzFhYW+lGLSCSCSCQqdzjoTmQ9cOAAHj9+XBnlmgWO4/Dxxx+b/fShIXAch969e+u/BJkKkw0XAHBzc8OxY8fwyy+/4ODBg3yXIyi6M6Pz8/Nx//592NnZvfQESFr6xbA4jkOjRo3g7++P/fv3812OoP3888+Ii4uDRqPhuxTBmzt3Ls6fP29SX6JNOlwAoF69etiyZQuGDRuGmzdv8l0O7xhjUCgUyMzMxP3795GdnQ13d3d4e3vTFI2RTJo0CT179kRiYiLfpQianZ0dvL29sXz5cr5LETx7e3vY2Njg3LlzfJdSZiYfLgDQrVs3fPXVV+jatSvy8vL4Loc3hYWFSElJQXJyMuRyOapVqwZfX1+4urq+Mlh0/25K34iETiwWw9/fHwqFgu9SBG/Tpk1YsGABvf/egOM4zJ07F1OnTjWZXplFuOhOZgsLC0P37t2hUqn4LokX6enpsLKygo+PD7y9veHk5PTKk7Sep9VqjVBh1WHOF4EypHfeeQcAcP36dZ4rEb6+ffsiJycHmZmZfJdSJmYRLsDTgNEdNfbZZ5+ZTLobkp+fH6pVqwYbG5tyTYFxHFfld+oTfnAchy+//NJk188yJpFIhMGDB2PkyJEm8flmNuECABYWFjh06BBOnz6NX375xST+AIZU1lHK82xsbFBQUFAJFVVdNN1YduHh4Xj48GGVnXEoj1mzZiEtLQ3r1q0T/HvLrMIFAFxcXHDs2DH89NNPOHToEN/lmAQnJycUFha+8nbd4cyEVAaxWAw/Pz9ERkbyXYrgWVpaYvPmzVi9ejXmzZsn6O3S7MIFAOrXr4/Nmzdj6NChdARZGTg6Or72TarRaHD//n0jVmQ+lEol3yWYhLVr1+LXX3/luwyT0LBhQ+zYsQNnz57FtGnTBDviM8twAYDu3btj1qxZ6Nq1K3JycvguR9CeP7FSrVYjNzdXP+zOyMigJXYqQCQS0XuvjHSLMwr5m7iQ1KlTB9u3b8eDBw8Euz6b2YYLx3GYPn063nvvPXTr1o2+QZaBLkySk5ORkZGB7OxsAEB+fj4t0VEBdnZ2ePToEd9lmASO41CtWjVs3bqV71JMhqurKzZs2IA9e/agqKiI73JeYLbhAjx9w65evRp2dnYYMmSI4HeA8eXZgwB0J2H6+voiIyMDjDEwxmBjY8NjhaapevXqSEpK4rsMk/HLL7/g22+/5bsMk+Lq6orQ0FDMnDmT71JeYNbhAjw9gmz//v24dOkSvvnmGwqYV+A4DiUlJcjJyYGFhQWsrKxgZWWFlJQUWFhY0Nn9FeDr64sHDx7wXYbJ6NatGwoKCmgbLadff/0V//zzj+D6ZvbhAjzdYX38+HH89ttv2LJli+D+CELg5OSErKwsZGRkwMvLCxzHoU6dOtBoNPDz8+O7PJMUEBBgMie8CYFuwdCHDx/yXYpJ0V0GIj09ne9SSqkye2nr1KmDv/76C7169XrlRYyqMg8PD9y9excA9JeRtrS0RJ06dWjUUkHe3t6QyWR8l2FSevfujRkzZsDBwYHvUkwGx3Ho3Lkzvv76a0GtDCHYkYturt+QP+3bt8eiRYsQHh7O98urFG/TGysrK1haWqJ27dqlHuv5/22OKuO9xhiDi4vLS1eiNgeV1bMffvhBf3lkc1RZffvmm28E1zdBjlzc3d0rbblyNzc3jBs3DllZWZXy+HzRXVHybXh4eADAKx/HHHfqOzg44PLly5X2+D169DC71Q/c3Nwq9QTliIgIwU3xGIKrqyv++eefSnv8MWPGCGoalmMC/EpqjGPdOY4zq+vGG+vPaG5TZMa4lojuEsrmgrbPiqlqfRNkuJQHYwxarbZCVw2sqrRaLVQqFSwtLc3qQ6+yaTQalJSUwM7OTjAbsNAx9vSidRVd966qModt1DSrfsaVK1fg5OSEK1eu8F2KyVAqlbh79y6dWFpOqampmDFjBlJTU/kuxWRcvXoVNWrUwNWrV/kuxaTcuHEDjRs3xo0bN/gupcJMPlwIIYQID4ULIYQQg6NwIYQQYnAULoQQQgyOwoUQQojBUbgQQggxOAoXQgghBkfhQgghxOAoXAghhBgchQshhBCDo3AhhBBicBQuhBBCDI7ChRBCiMFRuBBCCDE4ChdCCCEGR+FCCCHE4ChcCCGEGByFCyGEEIOjcCGEEGJwFC6EEEIMjsKFEEKIwVG4EEIIMTgKF0IIIQZH4UIIIcTgKFwIIYQYHIULIYQQg6NwIYQQYnAULoQQQgyOwoUQQojBmXS4MMaQm5tb6r/k9RhjyMrKQmpqKrKysqhnZcQYQ05ODgoLC5GTk0N9KwPddqnVamn7LAdd39RqtWn3jZmg3NxctnjxYhYQEMAA6H8CAgLY4sWLWW5uLt8lCg71rGKob+VHPasYc+ubyYXLkSNHmL29PeM4jnEcV+qPoPs3e3t7duTIEb5LFQzqWcVQ38qPelYx5tg3kwqXI0eOMLFYzEQiUanmP/8jEomYWCw2qT9EZaGeVQz1rfyoZxVjrn3jGDONCb28vDzUrl0bMpkMWq32jb8vEolga2uLlJQUuLi4VH6BAkQ9qxjqW/lRzyrGnPtmMjv0N2zYgJKSkjL9AQBAq9WipKQEGzdurOTKhIt6VjHUt/KjnlWMOffNJEYujDEEBgbi3r175TpyguM4+Pv7486dO+A4rhIrFB7qWcVQ38qPelYx5t43kwiXrKwseHp6vtX93d3dDViR8FHPKob6Vn7Us4ox976ZxLRYUVHRW92/sLDQQJWYDupZxVDfyo96VjHm3jeTCBcHB4e3ur+jo6OBKjEd1LOKob6VH/WsYsy9byYRLu7u7ggICCj3/CLHcQgICICbm1slVSZc1LOKob6VH/WsYsy9byYRLhzHITw8vEL3jYiIEPROr8pCPasY6lv5Uc8qxtz7ZhI79AHzPh68slDPKob6Vn7Us4ox576ZxMgFAFxcXLB7925wHAeR6PVli0QicByHv/76S/B/gMpEPasY6lv5Uc8qxqz7ZuwlAd5WWdfgOXr0KN+lCgb1rGKob+VHPasYc+ybyYULY09XD12yZMlLVw9dsmQJy8vL47tEwaGeVQz1rfyoZxVjbn0zyXDR0Wq17MSJEwwAO3HiBNNqtXyXJHjUs4qhvpUf9axizKVvJrPP5WU4jtPPPbq4uAj+6AkhoJ5VDPWt/KhnFWMufTPpcCGEECJMFC6EEEIMjsKFEEKIwVG4EEIIMTgKF0IIIQZH4UIIIcTgKFwIIYQYHIULIYQQg6NwIYQQYnAULoQQQgyOwoUQQojBUbgQQggxOAoXQgghBkfhQgghxOAoXAghhBgchQshhBCDM9lwKSoqwu3bt3H16lUAwJMnT6BUKnmuSviKioqQnJwMALhx4wYePXpEfXsDlUqF1NRU3LhxAwBw9+5d5OTkQKvV8lyZsNF7rfzM6XONY4wxvosoj3v37mHt2rXYt28fHj16BJVKBYVCAScnJ7Ro0QKffvop+vXrB0dHR75LFZRn+5acnAyZTAYrKyvY29ujSZMm1LeXyMvLw+7du7FlyxYkJiaisLAQSqUSNjY28PT0hEQiwciRI9G+fXtYWFjwXa5g0Hut/Mzxc81kwkWj0WDbtm2YNWsWZDIZunfvjvfffx8+Pj7QarVISkrC4cOHcfLkSbRs2RJLly5Fo0aN+C6bd9S3iomJicHUqVORkJCAoKAg9OzZE02bNoWDgwPy8vJw4cIF7N+/H0lJSRg4cCC+//57eHp68l02r+i9Vn5m3TNmAjQaDVu+fDmzt7dn3bt3Z1euXGFqtZqdPXuWLVmyhC1ZsoTduHGDKZVKFhUVxVq3bs3q16/Prl69ynfpvKK+VczRo0dZzZo1WWBgINu1axcrKSlheXl5bNWqVWzJkiVs3bp1TCaTsYKCArZ69WpWq1Yt9v7777MnT57wXTpv6L1WfubeM5MIl5MnTzIXFxf2n//8h+Xk5DCtVssYY+zrr79mABgAtmnTJsYYY1qtliUnJ7N27dqx0NBQlpuby2Pl/KK+ld+tW7eYn58fa9y4Mbt27Zq+Z3fv3mXOzs4MAPPz82M5OTmMsad9O336NKtduzYbMmQIk8vlfJbPG3qvlZ+590zwO/RlMhnmzZuH6tWrY9GiRXBxcQHHca/8fY7j4O3tjaVLl+L27dvYvHmzEasVDupb+Wk0GixYsAC5ublYtmwZGjVq9NqeAU/7FhoaioULF2Lv3r04cuSIkaoVDnqvlV9V6Jngw+XChQs4d+4cJkyYAC8vrzdu7MDTP0Tz5s3x0UcfYf369SgpKTFCpcJCfSu/pKQk7N+/H/369UNoaGiZegY87VufPn3Qpk0brFmzBmq1upIrFRZ6r5VfVeiZ4A9xOXXqFKytrdG5c2fcuHGj1Iabnp6u/98PHz5EQkKC/v+7uLigT58+2Lx5Mx48eGA6O8EMhPpWfmfPnkVRURH69++PBw8eoLi4WH9bSkoKNBoNAECpVCIxMRFOTk7622vVqoV+/frh22+/xZMnT1C7dm2j188Xeq+VX5XoGd/zcm8yZMgQVq9ePXb79m3m4+PDbGxs9D8WFhb6uUlLS8tSt40YMYLdv3+feXh4sMOHD/P9MoyO+lZ+X3zxBXNxcWE3btxg7733Xqm+WFtb63vGcVyp22xtbdmKFSuYVCpljo6OLDY2lu+XYlT0Xiu/qtAzQY9cGGOQy+WwtraGWCyGXC6HXC5/6e+qVCqoVCr9/1cqlbCystLfryqhvlWMTCaDhYUFrK2toVAoXvn6df19llqthq2tLRhjUCgUxihXEOi9Vn5VpWeCDheO4+Dh4YG4uDhoNBq8++67yMvL099+584d3Lt3DwDQpEkT1KpVS39b06ZNkZeXB4VCATc3N2OXzivqW8VUq1YNMpkMeXl5CAkJgb29vf42mUyGs2fP6kOkXbt2+hMnOY6Dj48PMjIyIBKJ4OrqytdLMDp6r5VflekZn8OmslizZg2ztbVlp0+fZmq1utTPrFmz9MPHDRs2lLpNo9Gw9evXsxo1arCUlBS+X4bRUd/KJz8/n3333XdMLBazVatWvdCz27dv6w9F9vX1ZVlZWS/0bebMmaxevXomcZioIdF7rfyqQs8Ef7RYp06d4OjoiA0bNoAxBrFYrP8Rif5/+SKRqNRtcrkcGzduRGhoKGrUqMHjK+BHp06d4ODgQH17Da1Wi8TERKxatQozZ87Ew4cPUa1aNWzYsAHFxcWl+iIWi/X34ziuVN9EIhEeP36MXbt2oWfPnnB2dubxVRkfbaPlVxV6Jvhw8fX1xeDBg7Fz504cPXoUrAyr1Wi1Wqxfvx6XLl1CeHh4qQ+GqkCtVkMkEqF79+7Ut5fIy8vDoUOH8PXXXyMyMhIZGRn46KOPEBkZidmzZ+PixYuIjIws8yHFCoUC8+fPh0wmw9ixY8t8CLO5eJttVCqV4p133in1gVoVVInPNf4GTWX3+PFjFhQUxLy9vdnx48eZRqNhjDH2zTffMAsLC2Zpack2b97MtFotU6lUbNOmTczDw4PNmjWLqdVqnqs3rtzcXHbjxg1269YtdufOHerb/2g0GpaQkMCWL1/Oxo0bxyZNmsQ2bNjA7t69qz8zmjHGioqK2EcffcQcHBzYr7/+ykpKSphWq2V3795l7u7uzMLCgtWtW1d/RnV+fj774osvmLOzM/vjjz94fIX8qug22qJFC+bm5sYGDhzI0tLSeH4VxmXun2smES6MMZaYmMhatmzJ3Nzc2OzZs1lSUhK7ffs2O3XqFDt16hRLTk5mCQkJbNy4cczZ2ZlNnDiRFRcX81220SiVSpacnMwSExNZamqq/s1X1fuWk5PD9u/fz2bOnMnGjBnD5s+fz06dOsVKSkpeeZ+MjAw2YMAAZmtry/r06cOioqJYRkYGk0qlLCoqisXExLDMzEx28OBB9u677zJXV1e2dOlSk9jgK1NF32tHjhxhjRo1Yn5+fmzLli2lwt7clbVnY8aMMbnt02RWRQaensjWunVrZGdnw8XFBY0aNYK3tzc0Gg0ePHiAW7duwd3dHTNnzsTQoUNhbW3Nd8lGkZeXhydPnkAkEqFWrVpwcHAodXtqairmz5+PHTt2wMLCwuz7ptVqcfXqVUilUly7dg1WVlYIDg6GRCKBj49PmaatiouLsWbNGkRGRiI9PR3+/v4IDAyEo6MjcnNzcevWLaSlpaFVq1aYO3cuOnbsWOWmdl6mou+1vLw8zJkzB9u2bUOnTp2waNEieHl58fxqjONNPbt58yaKi4sRHh6OBQsWmMz2aVLhcuDAAXz00UdYuXIlnjx5gri4OGRkZMDS0hJ+fn5499130aVLF1SrVo3vUo1CpVIhLS0NxcXFcHFxQfXq1V85D6vRaHDjxg0cPHjQbPuWnZ2N6OhonD17Fnl5eahTpw4kEgmCgoJgY2NTocd88uQJTpw4gaioKNy7dw9yuRyurq5o3LgxunTpgpCQENjZ2Rn4lZi2t3mvHT9+HFOnTkVhYSHmz5+PIUOGVIl9WK/rWVhYGPbs2QOtVos9e/aYTD9MJlwYY2jXrh2cnZ31iwMyxqDRaMBxnPB3bhlYbm4u0tPTIRaLUbNmzRdGK69jTn3TaDRISEiAVCrF9evXYW1tXWqUYujnYoxBJBLRKKWMKvJeKygowDfffIPNmzcjLCwMixYtgre3dyVXKhwv61lsbCyGDBmClStXonPnzjxXWDYmEy779u3DoEGDcOTIEUgkEr7L4c2zoxVXV1dUr169Sn7QZWVlITo6GmfOnEFBQQH8/PwgkUjQunVrk5k2IK/377//YurUqcjLy8N3332HYcOGVcn3us6QIUNQUFCAvXv3msToxSTCRavVom3btnBzc8Phw4f5Loc3OTk5yMjIgFgsRq1atUqdQV4VqNVqXLlyBVKpFDdu3ICtrS3atGmD0NDQKrVQZFVSWFiIuXPn6s/tWLJkCerUqcN3WbyIi4vD4MGDsXz5cnTp0oXvct7IJMLl77//xuDBg3Hs2DG0b9+e73KMTqlUIi0tDSUlJVVytJKRkaHfl1JYWIiAgABIJBK0atUKVlZWfJdHjCAqKgpTpkxBdnY25s6dixEjRlSpbUBn6NChyMvLw969ewX/+gUfLlqtFm3atIGnpycOHjzIdzlGV1VHK2q1GpcuXYJUKsWtW7dgZ2eHtm3bIjQ0tNRaS6TqKCoqwrx58/DHH3+gXbt2iIyMhK+vL99lGdX58+cxaNAgkxi9CD5c9uzZgyFDhuD48eNo27Yt3+UYzbOjFTc3N1SrVk3w31QM4cmTJ5BKpYiJiUFxcTECAwMhkUjQsmVLWFpa8l0eEYDo6GhMnjwZ6enpmDNnDkaPHl0ltg2dTz/9FNnZ2di3b5+gX7egw0Wr1SIkJAQ1atTA/v37+S7HaLKzs/WHItaqVcvsD3VVqVS4ePEipFIp7ty5A3t7e7Rt2xYSiUTw6ycRfhQXF+P777/HmjVr0KZNG0RGRsLf35/vsoziwoUL+Pjjj7F06VJ069aN73JeSdDhsnv3bgwbNgwnTpxAmzZt+C6n0imVSqSmpkImk1WJ0UpaWhqio6MRExODkpIS1K9fHxKJBC1atNAvZ0/I68TExCA8PByPHz/G7NmzMXbsWJM/vL4shg8fjszMTOzfv1+wnxGCDReNRoPg4GB4eXlh3759fJdT6arKaEWpVOLChQuQSqW4e/cuHB0d9ftSqlevznd5xATJZDL88MMP+O2339C6dWtERkYiMDCQ77Iq1cWLFzFw4EAsWbIEPXr04LuclxJsuPz5558YPnw4Tp48ieDgYL7LqTQKhQJpaWmQyWRwd3eHp6enYL+JvI2UlBRER0fj3LlzkMlkaNiwISQSCZo1a0ajFGIQsbGxCA8PR0pKCmbNmoXx48eb9ShmxIgRePLkCQ4cOCDI1ynIcNFoNAgKCoKPjw/+/vtvvsupFIwxZGdnIzMzE5aWlvDy8oKtrS3fZRmUQqHA+fPnIZVKcf/+fTg5OaF9+/Zo3749PD09+S6PmCG5XI4ff/wRK1euRPPmzbF06VLUr1+f77IqxeXLlzFgwAAsXrwYPXv25LucFwgyXHbu3IkRI0YgKioKrVu35rscg3t+tFKtWjWTOOO2rB49eoTTp08jLi4OCoUCjRo1gkQiQdOmTQX5DYuYn/PnzyM8PBzJycn44osvMGnSJLMcIY8cORKpqak4ePCg4LYtwYWLRqNB69at4efnh7/++ovvcgzq2dGKlZUVatWqZTajFblcjvj4eEilUiQnJ8PZ2Rnt27dHaGgo3N3d+S6PVEEKhQI///wzli1bhqZNm2Lp0qVo2LAh32UZVEJCAvr3749Fixbhgw8+4LucUgQXLjt27MBnn32G06dPo1WrVnyXYzByuRxpaWmQy+Xw8PCAp6enyY9WGGN4+PAhpFIp4uLioFQq0bhxY0gkEjRp0sQs9x0R03Px4kWEh4fj3r17mDFjBiIiIszqnKnRo0fj4cOHOHTokKBGL4IKF7VajdatWyMgIAC7d+/muxyDYIwhKysLWVlZZjNakclkiIuLg1QqxaNHj+Dq6qrfl+Lm5sZ3eYS8QKlU4pdffkFkZCQaNWqEZcuW4Z133uG7LIPQjV5+/fVX9O7dm+9y9AQVLtu2bcOoUaMglUrRsmVLvst5a8+OVjw9PeHh4WGyoxXGGO7fv4/o6GjEx8dDrVajSZMmkEgkVfIa6MQ0XblyBZMmTcKdO3cwbdo0TJkyxSzWpxs9ejSSk5Nx+PBhwYxeBBMuarUarVq1Qr169fDnn3/yXc5beXa0Ym1tjVq1alX4YlV8KykpQWxsLKRSKVJTU+Hu7o7Q0FC0a9cOLi4ufJdHSLkplUosWrQIixYtQv369bFs2TI0adKE77LeytWrV9GvXz/897//xYcffsh3OQAEFC5bt27F6NGjcebMGTRv3pzvcipMLpcjNTUVSqUSHh4eJjlaYYzh3r17OH36NC5cuACNRoNmzZpBIpGgYcOGNEohZuHq1auYNGkSbt68iSlTpmD69OkmPYoZO3Ys7t27hyNHjghi9CKIcFGr1WjZsiUaNmyIHTt28F1OhTDGkJmZiaysLNjY2JjkaKW4uBjnzp2DVCrF48eP4eHhoR+lODs7810eIQanVCqxZMkS/PrrrwgMDMTSpUtN9sttYmIi+vTpg4ULF6Jv3758lyOMcNm8eTPGjh2Ls2fPolmzZnyXU24ymQxpaWlQKpXw9PSEu7u7yYxWGGNISkqCVCrFhQsXoNVq0aJFC0gkEjRo0MBkXgchbyMxMRHh4eH6/37xxRcmOYoZP3487ty5g6NHj/I+euE9XFQqFVq0aIHGjRtj+/btfJZSbs+PVry8vEzmErtFRUWIiYmBVCpFeno6qlWrhtDQULRt2xZOTk58l0eI0alUKixduhS//PIL/P39sXTpUpM7sOj69ev48MMP8fPPP6Nfv3681sJ7uGzcuBHjx4/HuXPnTGqnmimOVhhjuHXrFqRSKS5fvgwA+lFKvXr1BF8/IcZw48YNhIeHIyEhARMnTsSXX35pMl8aAWDChAm4efMmjh07xuuqBLyGi0qlQvPmzdGsWTNs3bqVrzLKhTGGjIwMZGdnw9bWFrVq1RL8G6+wsBBnz55FdHQ0MjIyUL16dXTo0AFt2rSBg4MD3+URIjhqtRrLly/Hzz//DB8fHyxduhRBQUF8l1UmN2/eRK9evfDTTz+hf//+vNXBa7hs2LABEyZMQGxsLBo3bsxXGWVWUlKCtLQ0qFQqVKtWDW5uboL9ts8Yw82bN3H69GlcvnwZIpEIrVq1gkQiQd26dQVbNyFCcuvWLURERODixYsYP348vvrqK5M4CXrixIm4fv06/vnnH95GL7yFi1KpRPPmzdGyZUts3ryZjxLKTKvVIiMjAzk5OYIfreTn5+tHKVlZWahZsyYkEgnatGkDe3t7vssjxORoNBqsWrUKP/zwA2rXro3IyEjBX7xQN3pZsGABBgwYwEsNvIXLunXrMGnSJMTFxQl6GYbnRytCXIRRq9Xixo0bkEqluHLlCsRiMVq3bg2JRAJ/f38apRBiAElJSYiIiEB8fDzGjBmD2bNnC/qifpMmTcK1a9fwzz//8LKWGi/holQq0bRpUwQFBWHTpk3GfvoyeXa0Ymdnh1q1agnu0MS8vDycOXMG0dHRyMnJgZeXFzp06IDg4GBBv+kJMVUajQarV6/GDz/8gBo1aiAyMhLt2rXju6yXunXrFj744AN8//33GDhwoNGfn5dw+eOPP/TfAIS4BHZxcTHS0tKgVqtRvXp1QS3GqNVqce3aNUilUly9ehWWlpYICgqCRCKBr68vjVIIMYJ79+4hIiIC586dw6hRozBnzhxBTjtHREQgISGBl9GL0cNFN2oJCQnBhg0bjPnUb6TVapGeno7c3FzBjVZycnJw5swZnDlzBrm5ufD29taPUkxtJQBCzIFWq8XatWsxf/58VKtWDYsXL4ZEIuG7rFLu3LmDnj17Yt68efj444+N+txGD5ft27dj1KhROH/+PBo0aGDMp36jtLQ0FBQU6I8EEwrGGL755hvk5+cjODgYEokEPj4+NEohRAAePHiAiIgIxMbGIj4+Hj4+PnyXVMqUKVNw7do1HDt2zKjrAhokXMrzEIwxaLXaCi1NUJEP0/LUptFooNVqKzR8rOzaioqKYGtra7S+EVLVlfdzTa1WC/KzQ61WA0CFDkl+m88Og4TLDz/8UKln18tkMhQWFmLUqFHlvm9GRsYrp410L/1tP3zVanWFRjr79+9H7dq19bVotdpSbwRDrA1UUFCAjh07vvXjEFLV/Pzzzy89/06tVkOpVIIxBmtra1hYWIAxBpVKVe5p9MzMTAwfPrzctUVGRr5y5kelUkGlUsHCwgIWFhbQarVQqVTlPj8nOzsbgwYNKndtOgY5u+bWrVv48ssvDfFQL0hMTMTYsWPh7+9foXDRLX2v++BWKpVQKpWQyWRQKpUAACcnJ3h4eFS4xpSUlAqFy+PHj+Hp6YmMjAxkZGQgKysLCoUCAGBtbQ1fX180a9YMfn5+Fd73s3r1agoXQirgzp07mDFjBjQaDbKzs3Ht2jVER0fj0qVLyM3NhUajgaurKwIDA1FcXIyHDx+iadOm+P7778s8Shg5cmSFwuXevXuYOHEiGGMoLCzE3bt3cf78eVy5cgVPnjyBXC6HlZUVXFxcoFAoUFhYCD8/P8yfP7/MawdOnjyZ/3DhOK5SVuBkjKF3796YNWsWoqKiKvw4Dx48gEaj0ddpaWkJOzs7uLm5gTGG1NRUADD6tVc4jkNMTAw8PDzg4+OD1q1bw9HREcDTkyFv3bqFrVu3wtraGl26dEHr1q3pWiqEGAnHcVixYgWkUinu3r0LR0dHtGrVCkOHDoWPjw8sLCzw6NEj3L59G7a2tvjPf/6DhQsXYvTo0diwYUOlf5bs3LkT586dw82bNwEADRs2RLt27eDn5wcHBweUlJToF9X18PDA5s2b8fHHH+Pw4cNG+Rzhb1WzMoiJiUFBQQFGjx79VuHi6ekJKysriMViiEQicBxX6g/v5+eHu3fvAgBsbGxgb29vtA/xiIgIfU3Pa9GiBWQyGRISEvDXX3/h+vXrGDZsGAUMIUZy+fJl9OzZE8HBwahTpw5sbW1LbautWrUqNb0eGhqKBg0a4NChQ+jZs2el1nbixAm0adMGI0aMgL+/PxwcHF772dC8eXP06NED8+fPx9y5cyu1NkDA4cIYQ//+/bF27dq3/gagGw28ipWVFXx9fZGdnY3CwkJkZWUZ7ZyR1434OI6DnZ0d2rRpg0aNGuG///0vNm3ahGHDhtFOekKMYM2aNW/8Mvfstmhvb48dO3agf//+uH//fqWeJvDbb7+98ovpy4hEImzduhVt2rTBlClTKv0CgIL9Cnzo0CFotVqjXVHN1tYWXl5e8PX1hUajQXp6ulGet6ycnJwwc+ZMnD9/HnFxcXyXQ0iVUJFZgrZt26J9+/b49NNPy3VUV3mJxeJyf8l0c3PDgAEDMHz48EqtDRBouDDG8Omnn2L79u1G3wciEong6+uLnJwcaDQaoz13Wdjb22PatGlYv3498vLy+C6HEPISHMdh8+bNiI6OxtGjR/ku5wXfffcdbt++jVOnTlVqwAgyXDZt2gQ7OzuEhYXx8vwWFhZwdnZGcnJypad7efn6+qJLly746aefoNVq+S6HEPISNjY22L59O0aMGIH79+/zXU4pFhYWWL16NSZPnox9+/ZV2mec4MKFMYaIiAjs3buX1/0KtWrVglwu1x8aLBQcx6FPnz6wt7fHhg0bBBd+hJCnQkND8cUXX6B79+7689eEol27dli5ciXmzJnzVgdLvY7gwmXZsmXw8PBA8+bNea2D4zjUrFkTDx48ENwHOMdxmDFjBuLi4vDo0SO+yyGEvATHcZgyZQq8vb0RERHBdzmlcByH9u3bY/ny5Zg0aVKlfMYJKly0Wi1mz56NQ4cOCeJoKBcXF3Ach+zsbL5LeYGtrS2GDBmC//u//xNc+BFCnuI4Drt378bOnTuhUqn4LucFoaGhUKlUlXIAk6DC5aeffoK3tzcCAwP5LgXA0zeGn58fMjIyBLdzH3g6tLW0tMSJEyf4LoUQ8gpOTk5o0KABvv/+e75LeQHHcejduzemT59u8McWTLhoNBr8+OOPghm16OiWUBDq9Nj06dOxa9cuQYYfIeSprVu3YuXKlYL7DAGAb775BvHx8QZ/XMGEy9y5c1G3bl3BLVcNADVr1oRSqURRURHfpbygevXqqF27NrZu3cp3KYSQV/D29gZjTHDnzwGAg4MDAOjXWjQUQYSLXC7H4sWLBTdq0eE4Dt7e3khJSRHcNw/dTsPo6GiDvzkIIYbBcRwGDBiA0aNH813KCziOQ+3atbFu3TqDPi7v4cIYw6BBg9C5c2fUrFmT73Jeyd7eHhYWFsjMzOS7lBc4ODigSZMmWLVqFd+lEEJeYeHChYiJiRHcF1TgaW3Lli0z6GPyGi6MMfz555+QSqXYvn07n6W8Ecdx8PX1RVZWliBPXhwzZgwSExNRXFzMdymEkJdwcHCAhYUFbty4wXcpL2jVqhUUCoVBP9t4DZfDhw9j3Lhx2L9/v0lcB163VL9uiX4hsbKyQvv27bF48WJBfjMihADTp0/Hp59+yncZL+A4Dm5ubtizZ4/BHpO3cDl//jwGDx6M7du3o02bNnyVUW4+Pj4oLCwU3Bm3ADB48GA8fPgQubm5fJdCCHmJqVOn4v79+4L8Arh48WJ89913Bns8XsIlLS0NPXr0wNKlS/H+++8Lcif+q4hEIri4uODhw4eCe4OIxWL06NEDv/76q+BqI4Q8XdfL0dERhw4d4ruUF4SEhEAulxtsUVyjh0tubi46duyIsWPHYvDgwSYVLDo1a9aEXC4X5Bm3vXr1Qk5ODtLS0vguhRDyEsuWLcOkSZP4LuMFHMehZ8+eCA8PN8jjGTVcMjMz0alTJ4SFhWHevHkmGSzA0z9CtWrVBHlipUgkwkcffYRFixYJrjZCCNCjRw/BTq0vWLAAsbGxBtmxb7ArUf7+++/w9vZGrVq14O7uDgsLC8hkMigUClhbW+P27dsIDw9HWFgYli9fbrLBouPu7o6MjAzIZDK+S3lBWFgY/vzzTyQlJfFdCiHkORzHwcfHBytWrOC7lBfY2trCzc0Nu3fvfuvHMli4HDt2DE+ePEFBQQE0Gg1EIhG0Wi1EIhEYYxCJRJg2bRpGjhxpFteA5zgOXl5eSElJga2tLd/llMJxHEaOHInff/8dvr6+fJdDCHnOunXrMHDgQEEezLR8+XKEh4ejZcuWb/U4BgkXKysrDBw4ECqVCiUlJcjLy4NarYatrS2srKygVCrh5OQEJycnHDt2rELPUdFlYTiOQ2FhYYXu+yYikQgeHh4VPjPewsICV69eNXBVT1lZWaFLly6CXNGZEFNgaWlZ4c+rspg+fToePnxYoftaWlri1KlThi3oGePHj0dKSspbPQbHDDAxX96pIY1GA7FYXK77iMViWFlZles+AMo1d6jVaqFWq8v9PBzHVWiazxjLtYhEIlhYGGyASkiVUd7PNbVaXe5traKfa3K5vMy/W9HPNZFIVKHadAwSLuWhUqmgUCj0TS1vyFSmjIwMFBcXo1atWrC2tua7nFI0Gg1KSkpgZ2cnqJ4RUtUxxlBcXAyFQgEXFxfBbJ9arRYFBQXIz8+HWCyGl5eXUfd1G33nh1gsxtGjRyGRSODk5IRevXohJibG2GW8lLu7OwDgwYMH5fpmYAypqamYMWOGIFcHIKSq0mq1mDJlCvz8/HDixAlBBEtRURFWrFiB4OBgtGvXDuvWrYNYLDb6QVRGDxeRSIT+/fsjLi4OmzZtwpMnT9C5c2d88MEHOHv2rLHLKUUsFsPHxwdWVlZITk4WXMAQQoRDFyzbtm3DihUr8NFHH/FaT2FhIVasWIGwsDAsW7YMvXr1wr///otvv/2Wl0WBeTtsSyQSoV+/foiNjcWWLVuQmZmJ999/Hz169EB0dDRfZUEsFqNOnToUMISQV9JoNJg8eTK2b9+OlStXYsCAAbzVUlhYiGXLlulP8/jwww9x8uRJzJ07FzVq1OCtLt6PCRaJROjTpw9iYmKwbds25OTkoGvXrujWrRukUilvNT0bMEI8l4UQwg+NRoOIiAjs2LEDq1atQv/+/Xmpo6CgAJGRkejYsSNWrVqFPn364OTJk5gzZw6qV6/OS03P4j1cdEQiEXr37o2zZ89i+/btKCgoQLdu3dCtWzecPn3a6GebU8AQQp6n0WgQHh6OXbt24bfffkO/fv2MXkN+fj6WLFmCsLAwrF69Gv3799eHSrVq1Yxez6sIJlx0RCIRevXqhTNnzmDnzp0oLCxE9+7d0bVrV0RFRRk1ZHQBY2NjQwFDSBWn0WgwceJE7N69G7/99hv69u1r1OfPz8/HokWLEBYWhrVr12LAgAE4efIkZs+eDU9PT6PWUhaCCxcd3SJq0dHR2LVrF0pKStCjRw906dIFJ0+eNFrIiEQi+Pj4UMAQUoWp1WpMmDABe/bswerVq9GnTx+jPXdeXh4WLVqEjh074o8//sDAgQNx8uRJfPXVV4IMFR3BhosOx3Ho3r07pFIpdu/eDYVCgQ8++ACdO3fGiRMnjBIyFDCEVF1qtRrjx4/H3r17sXbtWnz44YdGed7c3Fz8+uuv6NixI9atW4dBgwbh1KlT+PLLL+Hh4WGUGt6G4MNFh+M4dOvWDVFRUdizZw80Gg169+6NTp064fjx45UeMhQwhFQ9umDZv38/1q5di169elX6c+bk5OCXX35Bx44dsWHDBgwZMgSnTp3CzJkz9efimQKTCRcdjuP0U2N79+4FAHz44Yd49913cezYsUoNmecDpqSkpNKeixDCL5VKhbFjx2L//v34/fff8cEHH1Tq8+Xk5GDhwoUICwvD5s2bMWzYMERFReHzzz+Hm5tbpT53ZTC5cNHhOA6dO3fGv//+i3379kEsFqNv374ICwvDkSNHKi1kdAFja2uLhw8fUsAQYoZ0wXLo0CGsW7cOPXv2rLTnys7Oxs8//4ywsDBs3boVw4cPR1RUFGbMmAFXV9dKe97KZrLhosNxHN577z0cP34cBw4cgJWVFfr3748OHTrg8OHDlRIyIpEI3t7eFDCEmCGVSoUxY8bg8OHDWLduHbp3714pz5OZmYkff/wRYWFh2LZtG0aMGIGoqChMmzYNLi4ulfKcxmTy4aLDcZx+auzQoUOwtbXFf/7zH0gkEhw8eNDgIUMBQ4j5USqVGDVqFI4cOYL169ejW7duBn+OzMxMLFiwAJ06dcLOnTsxcuRIREVFYerUqXB2djb48/HFbMJFh+M4dOzYEUePHsXhw4fh4OCAjz76CO3bt8f+/fsNGjIUMISYD12w/PPPP9iwYQO6du1q0MfPzMzE999/j3fffRe7du3C6NGjcerUKUyZMsWsQkXH7MJFh+M4dOjQAUeOHMGRI0fg7OyMjz/+GG3btsW+ffsMco1o4MV9MMXFxQZ5XEKI8SiVSowcORLHjx/Hxo0b0aVLF4M9dnp6OubPn4+wsDDs2bMH48aNw6lTpxAREWGWoaJjtuHyLIlEgsOHD+Po0aNwc3PDoEGD0LZtW/z9998GCRndNbEpYAgxPUqlEiNGjMCJEyewceNGdO7c2SCPm56ejnnz5qFTp07Yu3cvJkyYgFOnTmHSpElwcnIyyHMIWZUIF53Q0FAcOnQI//zzDzw9PTF48GC0adMGf/3111uHjC5g7O3tKWAIMRFKpRLDhw/HyZMnsWnTJoMEy+PHj/Htt9/i3Xffxb59+zBx4kScOnUKEydOhKOjowGqNg1VKlx02rVrhwMHDuDEiROoUaMGhg4diuDgYOzevfutQobjOHh7e1PAEGIClEolPv30U5w6dQqbN2/Ge++991aPl5aWhrlz5+K9997DwYMHERERgaioKEyYMAEODg4Gqtp0VMlw0WnTpg327duHf//9F15eXhg2bBiCgoLw559/QqPRVOgxKWAIET6FQoFhw4bh9OnT2LJlCzp16lThx0pNTcWcOXPw3nvv4dChQ5g8eTJOnTqFcePGwd7e3oBVm5YqHS46ISEh2Lt3L06ePAkfHx8MHz4cQUFB2LlzZ4VC5vmAKSoqqoSqCSEVoQsWqVSKrVu34t13363Q46SmpuLrr79G586dcfToUUybNg1RUVEYO3ZslQ4VHQqXZwQHB2PPnj2IioqCn58fRowYgVatWmHHjh3lDhldwDg4OODRo0cUMIQIgEKhwNChQ3HmzBls27YNHTt2LPdjpKSkYPbs2fqTt6dPn46oqCiMHj0adnZ2lVC1aaJweYnWrVtj9+7dOH36NOrWrYvPPvsMrVq1wrZt26BWq8v8OBzHoXbt2hQwhAiAXC7HkCFDcPbsWWzbtg0dOnQo1/0fPXqEr776Sr8i++eff46TJ09i1KhRsLW1raSqTReFy2u0atUKu3btQnR0NOrVq4dRo0ahVatW2LJlS5lDhgKGEP7pguXcuXPYsWMHJBJJme+bnJyMmTNn4v3330dUVBRmzpyJkydPYuTIkRQqr0HhUgYtWrTAzp07cfbsWTRs2BBjxoxBixYtsHnz5jKFDAUMIfyRyWQYPHgwYmNjsWPHDrRv375M93vw4AFmzpyJrl27QiqV4quvvsK///6LESNGUKiUAYVLOTRr1gzbt29HTEwMGjdujLFjx6J58+bYuHEjVCrVa+/7fMAUFhYaqWpCqi6ZTIZPPvkE8fHx2LlzJ9q1a/fG+9y/fx+ff/65PlRmzZqFf//9F59++ilsbGyMULV5oHCpgKZNm2Lbtm04d+4cmjVrhvHjx6N58+ZYv379a0NGFzCOjo5ISUmhgCGkEpWUlGDQoEG4cOECdu7cibZt27729+/du4fp06ejW7duiImJwddff42TJ09i2LBhFCoVQOHyFpo0aYItW7YgLi4OLVu2xMSJE9G0aVOsW7cOSqXypffhOA5eXl4UMIRUIl2wXLp0CTt37kSbNm1e+bt3797FtGnT0K1bN8TFxeGbb77BiRMnMHToUFhbWxuxavNC4WIA77zzDjZt2oT4+HgEBQUhPDwcTZs2xe+///7SkKGAIaTyFBcXY+DAgbh8+fJrgyUpKQlTp05F9+7dcf78eXz77bc4ceIEBg8eTKFiABQuBtSoUSNs3LgR8fHxaNOmDSZPnowmTZpgzZo1UCgUpX73+YApKCjgqWpCzIcuWK5evYo///wTISEhL/zO7du3MXnyZPTo0QMXL17EvHnzcPz4cXzyySewsrLioWrzROFSCRo2bIj169fjwoULaNeuHaZOnYomTZpg9erVpULm2YBJTU2lgCHkLRQVFWHgwIG4du0a/vzzTwQHB5e6/datW4iIiEDPnj1x5coVzJ8/H8ePH8fHH39MoVIJKFwqUf369bFu3TpcvHgRoaGhmD59Oho3boxVq1ZBLpcD+P8B4+Tk9MoRDGMMOTk5KCwsRE5OTqVcupkQoWOMISsrCw8ePEBWVlap7UAXLImJidi1axeCgoL0t928eROTJk3CBx98gISEBPzwww/4559/MHDgQFhaWvLxUqoGRozm9u3bbOTIkczBwYEFBASw5cuXs5KSEsYYY1qtlqWkpLDExESWn5/PGGMsNzeXLV68mAUEBDAA+p+AgAC2ePFilpuby+OrIcQ43rQdPHz4kHXv3p35+fmxCxcu6O93/fp1NmHCBFa3bl0WFhbG/vzzT6ZSqXh8JVULhQsPbt++zUaNGsUcHR2Zv78/W7ZsmT5kdAGze/duZm9vzziOYxzHldqodP9mb2/Pjhw5wvOrIaTyHDly5LXbAQAmFotZjRo12MWLFxljjCUmJrLx48ezunXrsk6dOrFdu3ZRqPCAY4zmWPhy9+5dLFy4ENu2bYOHhwemTp2KkSNHYs+ePRg2bBjY0/B/5f1FIhE4jsPBgwcNfr1vQvh29OhR9OzZE4yxN15nSSQSYcWKFbh06RJOnDiBOnXqYMKECfjwww8hFouNVDF5FoWLANy7dw+//PILtmzZAldXVzx58uSV58k8TyQSwdbWFikpKXBxcancQgkxkry8PNSuXRsymazMF/DjOA4dO3bE5MmT0atXLwoVntEOfQHw9/fHypUrceXKFXh7e5c5WABAq9WipKQEGzdurMQKCTGuDRs2oKSkpFxXhmWM4cMPP0SfPn0oWASARi4CwhhDYGAg7t69W677cRwHf39/3LlzBxzHVVJ1hBiHbju4d+9euY6MpO1AWChcBCQrKwuenp5vdX93d3cDVkSI8dF2YB5oWkxA3nYpflpGhpgD2g7MA4WLgDg4OLzV/R0dHQ1UCSH8oe3APFC4CIi7uzsCAgLKPV/McRwCAgLg5uZWSZURYjy0HZgHChcB4TgO4eHhFbpvREQE7cQkZoG2A/NAO/QFprzH99N5LsQc0XZg+mjkIjAuLi7YvXs3OI6DSPT6P4/uDP2//vqLNihiVmg7MH0ULgLUtWtXHDx4ELa2tuA47oVhvu7fbG1tcejQIXTp0oWnSgmpPLQdmDYKF4Hq2rUrUlJSsHjxYvj7+5e6zd/fH4sXL0ZqaiptUMSs0XZgumifiwlgz1zPxdHREW5ubrTTklQ5tB2YFgoXQgghBkfTYoQQQgyOwoUQQojBUbgQQggxOAoXQgghBkfhQgghxOAoXAghhBgchQshhBCDo3AhhBBicBQuhBBCDI7ChRBCiMFRuBBCCDE4ChdCCCEGR+FCCCHE4ChcCCGEGNz/A56GJJf3oIOyAAAAAElFTkSuQmCC\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model = KAN(width=[2,5,1], grid=5, k=3, seed=0, sparse_init=True)\n", - "x = torch.normal(0,1,size=(100,2))\n", - "model(x) # forward is needed to collect activations for plotting\n", - "model.plot()" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "fc98e243", - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.7" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/tutorials/API_6_training_hyperparameter.ipynb b/tutorials/API_6_training_hyperparameter.ipynb deleted file mode 100644 index 91e7d9f9..00000000 --- a/tutorials/API_6_training_hyperparameter.ipynb +++ /dev/null @@ -1,340 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "134e7f9d", - "metadata": {}, - "source": [ - "# Demo 6: Training Hyperparamters\n", - "\n", - "Regularization helps interpretability by making KANs sparser. This may require some hyperparamter tuning. Let's see how hyperparameters can affect training" - ] - }, - { - "cell_type": "markdown", - "id": "6459e11a", - "metadata": {}, - "source": [ - "Load KAN and create_dataset" - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "id": "c3faa4ed", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "(torch.Size([1000, 2]), torch.Size([1000, 1]))" - ] - }, - "execution_count": 1, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "from kan import *\n", - "import torch\n", - "\n", - "f = lambda x: torch.exp(torch.sin(torch.pi*x[:,[0]]) + x[:,[1]]**2)\n", - "dataset = create_dataset(f, n_var=2)\n", - "dataset['train_input'].shape, dataset['train_label'].shape" - ] - }, - { - "cell_type": "markdown", - "id": "2571d531", - "metadata": {}, - "source": [ - "Default setup" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "id": "97111d75", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 3.32e-02 | test loss: 3.27e-02 | reg: 4.09e+00 : 100%|██| 20/20 [00:14<00:00, 1.41it/s]\n" - ] - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "# train the model\n", - "model = KAN(width=[2,5,1], grid=5, k=3, seed=1)\n", - "model.fit(dataset, opt=\"LBFGS\", steps=20, lamb=0.01);\n", - "model.plot()" - ] - }, - { - "cell_type": "markdown", - "id": "07f400a8", - "metadata": {}, - "source": [ - "### Parameter 1: $\\lambda$, overall penalty strength. \n", - "\n", - "Previously $\\lambda=0.01$, now we try different $\\lambda$." - ] - }, - { - "cell_type": "markdown", - "id": "9916490a", - "metadata": {}, - "source": [ - "$\\lambda=0$" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "id": "77e8cafd", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 5.54e-03 | test loss: 6.12e-03 | reg: 1.56e+01 : 100%|██| 20/20 [00:14<00:00, 1.37it/s]\n" - ] - }, - { - "data": { - "image/png": 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YMAkMDIS7u3u7XxhomsaNGzdw4MAB3L17Fx4eHli0aBH8/Px4cZHiQ7io1NXVMSEDgAkZLvaMaWhowI0bN5gxm/T0dCgUCtjb26vNRnNzc+PF90i0DxIunVxDQwPzzEN8fDxu377NnPgtw6RPnz6cnfiqUAkPD0dmZiY8PT2xaNEiDB06lFcXIz6Fi0p9fT3OnDmDc+fOAQAmTpyIGTNmcLoxWWNjIxM2CQkJSEtLg0KhgJ2dHfNsU0BAACc3MET7IeHSydTX1z8WJi37x1X/ubq6cn5i0zSNpKQkhIeHIysrCwMGDMCbb74JHx8fzsv2JHwMF5X6+nqcPXsWUVFRoGkakyZNwvTp02Fpacl10dDU1ISbN28yLRtVa9nW1lZtNlrfvn15+b0T2iHh0sHV1dUhKSmJmc2l6v/u1q0bM14SEBDAq/5vmqaRmJiIAwcOICsrC15eXggJCeFtqKjwOVxUGhoamJBRKpWYMGECZsyYwatdL5ubm5mwSUhIQEpKCuRyOWxsbJjtBQIDA9G3b992G+cj2EfCpYOpra1l1pGKj49HRkYGM01U9YxJYGAgevXqxbsLNU3TSEhIQHh4OO7fv49BgwZh0aJFGDx4MO/K+iQdIVxUGhsbmZCRy+VMyPBxt0uRSMQ8iJuYmIhbt24x091bdqP179+fhE0HQsKF52pqapCYmIi4uDjEx8fj7t27oGkaPXr0QFBQEDM1mM8PuNE0jbi4OBw8eBD379+Ht7c3EyodSUcKF5XGxkZERkYiMjIScrkc48ePx8yZM3kZMipisZhZQqjls1WqVR9Us9F0+WwV0XYkXHhGKBQyfdOqMAEAZ2dntTGTjrA0B03TuHbtGg4cOICcnBwMHjwYixYtgre3N9dF00pHDBeVpqYmJmRkMhnGjRuHmTNndoitlMViMbOSdstVISwsLNRaNp6enqyvCkFoj4QLx6qqqpi+57i4OLVFBVXjJYGBgejZsyfHJW09mqZx9epVHDhwALm5ufDx8cGiRYvg5eXFddHapCOHi0pzczOioqJw5swZSKVSJmQ60hbKEomECZuEhATcvHmTWRxVtQeQv78/BgwYwMriqIR2SLi0s8rKSqa5HxcXxyyH7uLiotYy6YjLodM0jStXruDAgQPIy8uDr68vQkJCOnyoqHSGcFFRhczZs2chFosxbtw4zJo1q0OFjIpUKkVqaioTNi23dfDz82Nmo7G1EjfROiRcdKyiooIJkvj4eGYjJ9WugarWSbdu3TguqfaUSiX+/vtvHDx4EPn5+Rg6dCgWLVqEAQMGcF00VnWmcFFpbm7G+fPncfr0aYjFYrz66quYPXs2unbtynXRtCaTyR4LG5FIBDMzMwwbNoyZjebl5UXCRodIuLBMtd+5aszkwYMHAIA+ffowrZLOsiugUqnEX3/9hYMHD6KgoADDhg1DSEgIPD09uS6aTnTGcFERiURMyDQ3N2Ps2LGYNWsW7OzsuC5am8lkMty+fZuZjXb9+nVmK+1hw4YxYzbe3t4kbFhEwqWNSktLmSCJj49Hbm4uAMDd3Z2ZGhwQEAB7e3uOS8oepVKJy5cv4+DBg3j48CGGDRuGRYsWwcPDg+ui6VRnDhcVsVjMhExTUxNeeeUVzJkzp1OEjIpcLkd6ejoTNklJSWhqakKXLl0wdOhQJmwGDx6s1VbbxCMkXDRUUlLCLPKYkJCAvLw8AEC/fv3UWiad6WRUUSgUuHTpEg4dOoTCwkL4+/sjJCQE/fv357po7eJFCBcVsViM6OhonDp1Ck1NTXj55Zcxe/ZsODg4cF001snlcmRkZDA9DtevX0djYyOMjY3h5+enFjaGhoZcF7fDIOHyHMXFxcx4SXx8PAoKCgAA/fv3Z8ZLAgICOnQf9fOoQuXgwYMoKipCQEAAQkJC0K9fP66L1q5epHBREYvFiImJwalTp9DY2IgxY8Zgzpw5nTJkVORyOe7cucOM2SQlJaGhoQFGRkYYOnQoMxvNx8eHhM0zkHD5h8LCQqZVEhcXh8LCQgCAp6enWph0hOcD2kqhUODChQs4dOgQiouLERgYiJCQEPTt25fronHiRQwXFYlEwoRMfX09EzKdYezweRQKBe7evcu0bJKSklBfXw8jIyP4+PgwvRU+Pj4wMjLiuri88UKHC03TePjwodqYSVFRESiKwoABA5jZXP7+/rx+opltcrmcCZWSkhIEBQVh4cKFcHd357ponHqRw0VFIpHgjz/+wMmTJ1FXV4fRo0djzpw5HXq2o6YUCgUyMzOZlk1iYiLq6upgaGgIX19fZjaaj48PjI2NuS4uZ16ocKFpGgUFBUyQxMXFoaSkBBRFYeDAgcxCj8OHD+fVQn/tRS6X488//8ShQ4dQWlqKoKAghISEoE+fPlwXjRdIuPx/UqkUsbGxOHnyJGpra5mQ6YjPZ7WVUqnEvXv3mAkCCQkJqK2thYGBAXx8fJjeDl9fX5iYmHBd3HbTqcOFpmnk5eWptUxKS0shEAjg5eXFtEyGDRv2QoaJilwuR2xsLH777TeUlpZi1KhRCAkJgaurK9dF4xUSLo+TSqX4888/ERERgZqaGowaNQpz585Fjx49uC4aZ5RKJbKzs5mHpRMTEyEUCqGvr48hQ4YwYTN06FB06dKF6+LqTKcKF5qmkZOTw4yXJCQkoKysDAKBAIMGDWJmcw0fPpzTzZT4Qi6XIyYmBocPH0Z5eTleeuklLFy4kITKU5BweTqpVIoLFy4gIiICQqEQI0eOxNy5czvUskW6ogob1WrmiYmJqK6uhr6+PgYPHqwWNqamplwXlzUdOlxomsaDBw/UWiYVFRXQ09PDoEGDmAH44cOHt+se43wnl8sRHR2Nw4cPo7KykgkVFxcXrovGayRcnk8mk+HChQs4ceIEhEIhgoKC8Nprr5GQaYGmady/f58Zs0lISEBVVRX09fUxaNAgJmz8/PxgZmbGdXG11qHDRSaToW/fvpBIJBg8eDDTMhk2bFiH/lJ07dChQ/j1118xZswYLFy4EL169eK6SB0CCZfWk8lkuHjxIk6cOIHm5mbs27fvhR7cfpaWPS6qlk1FRQU+/fRTvPvuu1wXT2u8DJfvv/8ejo6OrZqhJZPJoK+vr/FeJkKhEAsWLNC2iLxz4MCBVrc8FAoFZDJZq092mUwGmqYhEokQHBzclmLyzldffYWBAwcCeNR9IRaLn9oPrlQqIZPJYGBgoNE+IlVVVViyZAkr5eWDY8eOPXZDIpVKQVHUY0+0K5VKNDc3a3yzV19fj3HjxrW5rHzyww8/wNraulXPCMnlcggEAo33qxEKhXjjjTe0LSKreLmQTlZWFo4cOYILFy7orA/ynXfe6VThkp+fj/nz57P6mnK5HGfOnMGVK1cgk8nQvXv3Thcud+/exccff4yamhqsWLECDx8+REhICJYtW/bY79I0DZqmQVGURjczCxcu7FTh8vDhQ8yaNQvAozo5d+4crl27BgAICgrCxIkT27SvilKpxA8//NDpwiUrKwuJiYk4fPiwzp4Ve/fdd0m4PAtFUfD09MSSJUtw4sQJ3u6wyCcURbG66J5cLscXX3yBsrIyzJs3D2ZmZvjjjz9Ye32+UNXb+PHj4eHhgbVr1+Ktt96Cs7Mzpk6dynXxeElVZzRNIywsDImJiQgJCQFN0/j9999x7949/Otf/9IqYGQyGTZv3twpn3ynKApLlizB3LlzkZCQ0OknFfEyXABg165dcHNzQ2ZmZqddZZevaJrGl19+ierqamzfvp2ZDNEZwwUAdu/ejYqKCty4cQP6+vowNTXF7NmzUVdXR7bRfYZ79+4hJiYGu3btYpY/8vHxwSeffII9e/Zg2bJlGt8YlpWVMWNbndHKlSuRnp6O+fPnIzIyslPfOPP2zDExMcGXX36J2bNng4fDQp1aVFQUUlJS8MMPP7wQs+w+/PBDREZGMi2/cePGwcHBAVu2bOG4ZPxF0zQ2btyIlStXqq2rZ2Fhga+//hp//vkns6uqJm7evNkpF31VoSgKO3bsQE5ODo4cOcJ1cXSKt+ECAEuWLAFN09i/fz/XRXlhNDU1Ydu2bfjuu+861Zz7Z/n+++/VZn9RFIWzZ89i/fr15MbmKbKysiCVSjF69OjHfmZtbY2VK1di48aNUCqVGr1uXFwc/Pz8WColPxkaGuLIkSNYu3YtmpubuS6OzvA6XCiKwrFjx/DZZ59BJBJxXZxOj6ZpfPrppwgKCnqhFqd8++23H+ue8PDwgL6+PhISEjgqFb998803WLJkyVO7dUaPHg0jIyNERkZq9LoFBQUICgpio4i85u3tjZdeegmhoaGd9gaG1+ECAF5eXggKCmJaMYTuFBYW4s6dO/j00087dV/wPz3ps1IUhe+++w7z5s3joET8Z2ZmhvHjxz/15xRFYcOGDQgPD9eo9SKTyV6Ih3kpisLu3btx9epVrboPOwLehwtFUfj111/x999/IzExkevidFo0TeNf//oXFi9e3Cln6mgjNDQUZWVlEIvFXBeFdzZv3vzcyQ7Ozs6wtrbG2bNnNXrtF+X4MzExwfr16/H66693yhtn3ocLAJiamuLHH3/E/Pnz0dTUxHVxOqWsrCwIhUJyp96CQCDA4MGD8e9//5vrovBOa8bjKIrCunXrcPDgwVZdPFW/8yK1mkNDQ6FQKHDw4EGui8K6DhEuADBjxgz4+/tjwYIFGg8SEs+mGmtZtWoVmXr7D8eOHcPOnTs75Z1le+jVqxf09fWRlpb23N+Vy+XtUCJ+oSgKR44cweeff97pxpU7zJVE1T2Wn5+PL7/8kpzsLLp37x4aGxsxZcoUrovCO7169YKenh5SU1O5LkqHRFEU3n33XXz33XfPPWdzcnIeWz7mRTBw4ED4+/tj+fLlneq61mHCBQCMjY1x9uxZHDp0CLt37+5UXwQbtKkPmqbx2WefYeXKlS9Ud0RrURSFTZs2keet2mDkyJFobGx8bpd2bGws+vfv306l4g/VjfOlS5dw584drovDmg4VLgDg5OSEkydPYvPmzSRg/iEsLEzj+iCtludbtWoVioqKUFlZyXVROiSKouDn54etW7c+8/euX7+OSZMmtU+heMbU1BSbNm3Ca6+9BoVCwXVxWNHhwgUABg0ahIiICPzwww/4+uuvO82X0VbHjh3T6ALYcqyFtFqeTk9PD4sXL8b06dPJzYyW1qxZg5s3bz6z/pqaml7orQwWLlwIOzs7fPbZZ53iOOuQ4QIAQ4YMwZkzZ3D69GksX74cDQ0NXBeJc6+++iq++uqrVv9+RkYGmpubO91Kx7qwfft23Lp1Czk5OVwXpUMyNTWFoaEhMjIynvhz1cXUyMioPYvFKxRF4fjx4zhy5AiuX7/OdXHarMOGCwD069cP58+fR3V1NaZMmYK7d+92isTX1urVq5Gent7qaZ+fffYZPvzwQ9JqaQVDQ0OsX78e48ePf6GPMW1RFIXQ0FB8//33T/y5qvfhRT8W7ezssGXLFixYsADV1dVcF6dNOnS4AI++jN9++w2vvPIKZs6cicOHD7+w3WQmJiYwMDBAVlbWc3/3ypUrUCgUGDt2bDuUrHNYu3Yt5HI5Nm/eTAJGC6+++ipqa2ufOOX49u3bMDEx4aBU/DNz5kxMmTIFM2fO7NDTkzt8uACPmtKff/45tm/fju+++w4rVqxAVVUV18Vqd6q7ww0bNjzz9xQKBb7++mts3Ljxhb9T1IRAIMCFCxewceNGZnMsovUEAgEcHBxw6tSpx3526NAhcqPzfyiKwv/+9z/Y2dlh4cKFHXaFiE4RLsCjL2Ts2LE4f/48mpqaMGnSJFy5cuWFu8OcOXMmKioqIJVKn/o7O3fuhIODwws9eKotd3d37Ny5E1OnTsWtW7deuOOrrT755BMcPXr0sXrLy8vDzJkzOSoV/+jp6eHgwYOQSCRYuHAhamtruS6SxjpNuACPAqZ79+749ddfERoairfffhtff/11p17W+p/09PTg6en51L1ISktLcfLkSWzZsoW0WrS0YMECZvzl/PnzJGA04OLiAqVSqTaeoFQqQdM0LC0tOSwZ/5iYmODYsWMwMTHBtGnTkJqa2qGOtU4VLioGBgZYunQpjh8/jr///hszZ85ERkZGh/pi2mLTpk34448/IJFI1P5dLpfj/fffx/z589U2eCI0Q1EU3nvvPWzZsgWhoaH48MMPUVJS8sIcX21BURQmTJiAr7/+mvm369evo0uXLuRm5wm6dOmCvXv3YvLkyViwYAG++eYblJeXd4hjrVOGC/DoIPby8sKpU6cQGBiI2bNnY+fOnY9dcDsjS0tLDBkyRG2ZHIVCga+++goWFhZYvHgxxyXs+CiKwoIFC3DhwgXcv38fL730EtatW4e0tDSIRKIOcfJz5a233kJubi6EQiFomsaOHTvwzjvvcF0s3jIwMMC//vUvhIeHIzU1FVOnTsXmzZuRmZkJqVTK22NNn+sC6JqpqSnWrVuH0aNH49///jcuXLig0bMgHZFqyZI5c+bg0KFD8PPzw/Hjx5GdnY1du3aRxSlZQlEUBgwYgJMnT+LSpUvYt28f5syZg27duiEgIADDhg17IZczeR4DAwNMnjwZ69atw6JFiyASiV6IDcLagqIo+Pr64uDBg4iLi8OhQ4cQEhKC3r17IygoCF5eXujWrRvXxVTD23BhO41HjhyJqKgofPvtt1i8eDE8PT1ZfX0+aFlnxsbG2LZtG3744Qf8+eefcHd3x48//ghTU1Pe3ulwpa31oa+vj3HjxuHVV19FQUEB4uPjce3aNWzZsgXV1dXw9vZmqaT80dY6e+utt7B582bs27cPH330ESiKeiGOy7Z+RgMDA4wePRojR45EQUEBrl27hvj4eERFRUEkEvHqusbLcLGxsUF0dLROXjsoKAjOzs4ddnrf01haWj5xeuyMGTMgEolgYWHR5kXx3Nzc2vT3fNS1a1eNN7N6HnNzc0yYMAGjR49GVVVVp1s9wsLCAklJSW1+ndGjR6OxsREURT32ep1xN0obGxvExMSw+pr29vaYOnUqRCIRGhsbUVdXx+rrtwVF8/B2oT32daAoCnp6ejp/n/bSXg+OdqY6A8ixpg1yrGnnRTvWeBkumqBpGnK5HPr6+mS2SSsplUqIxWIYGxuT8RcN0DQNmqZBURQ51lpJoVAwxxpfLnodQWe4rnX4K0t6ejp69uyJ9PR0rovSYeTk5CA4OJgswqih1NRUGBsbk43DNJCfn4833ngD+fn5XBelQ8nIyEDv3r2futBnR9Dhw4UgCILgHxIuBEEQBOtIuBAEQRCsI+FCEARBsI6EC0EQBME6Ei4EQRAE60i4EARBEKwj4UIQBEGwjoQLQRAEwToSLgRBEATrSLgQBEEQrCPhQhAEQbCOhAtBEATBOhIuBEEQBOtIuBAEQRCsI+FCEARBsI6EC0EQBME6Ei4EQRAE60i4EARBEKwj4UIQBEGwjoQLQRAEwToSLgRBEATrSLgQBEEQrCPhQhAEQbCOhAtBEATBOhIuBEEQBOtIuBAEQRCsI+FCEARBsI6EC0EQBMG6Dh0uNE2jpqYGCoUCNTU1oGma6yLxHk3TEAqFEIvFEAqFpM5aSXWsASDHWiupjrXm5mZyrGmg01zX6A6opqaG3rp1K+3m5kYDYP5zc3Ojt27dStfU1HBdRN4hdaYdUm+aI3Wmnc5Wbx0uXGJiYmhTU1Oaoiiaoii1L0H1b6ampnRMTAzXReUNUmfaIfWmOVJn2umM9dahwiUmJobW09OjBQKBWuX/8z+BQEDr6el1qC9CV0idaYfUm+ZInWmns9YbRdMdo0OvtrYWPXv2hEgkglKpfO7vCwQCmJiYoKioCFZWVrovIA+ROtMOqTfNkTrTTmeutw4zoB8eHo7m5uZWfQEAoFQq0dzcjAMHDui4ZPxF6kw7pN40R+pMO5253jpEy4Wmabi7uyM3N1ejmRMURcHV1RX3798HRVE6LCH/kDrTDqk3zZE6005nr7cOES5VVVWws7Nr09/b2tqyWCL+I3WmHVJvmiN1pp3OXm8dolussbGxTX/f0NDAUkk6DlJn2iH1pjlSZ9rp7PXWIcLFzMysTX9vbm7OUkk6DlJn2iH1pjlSZ9rp7PXWIcLF1tYWbm5uGvcvUhQFNzc32NjY6Khk/EXqTDuk3jRH6kw7nb3eOkS4UBSFVatWafW3q1ev5vWgl66QOtMOqTfNkTrTTmevtw4xoA907vngukLqTDuk3jRH6kw7nbneOkTLBQCsrKwQEREBiqIgEDy72AKBABRF4eTJk7z/AnSJ1Jl2SL1pjtSZdjp1vbX3kgBt1do1eGJjY7kuKm+QOtMOqTfNkTrTTmestw4XLjT9aPXQbdu2PXH10G3bttG1tbVcF5F3SJ1ph9Sb5kidaaez1VuHDBcVpVJJX7x4kQZAX7x4kVYqlVwXifdInWmH1JvmSJ1pp7PUW4cZc3kSiqKYvkcrKyvez57gA1Jn2iH1pjlSZ9rpLPXWocOFIAiC4CcSLgRBEATrSLgQBEEQrCPhQhAEQbCOhAtBEATBOhIuBEEQBOtIuBAEQRCsI+FCEARBsI6EC0EQBME6Ei4EQRAE60i4EARBEKwj4UIQBEGwjoQLQRAEwToSLgRBEATrSLgQBEEQrCPhQhAEQbCuw4ZLY2MjsrOzkZ6eDgAoKyuDVCrluFT819jYiIKCAgBAZmYmCgsLSb09h0wmQ3FxMTIzMwEAOTk5EAqFUCqVHJeM38ixprnOdF2jaJqmuS6EJnJzcxEWFoazZ8+isLAQMpkMEokEFhYWGDJkCBYtWoSZM2fC3Nyc66LySst6KygogEgkgqGhIUxNTeHl5UXq7Qlqa2sRERGBw4cP486dO2hoaIBUKoWxsTHs7OwwcuRILFmyBCNGjIC+vj7XxeUNcqxprjNe1zpMuCgUChw5cgSffvopRCIRJk6ciLFjx8LZ2RlKpRIPHjxAdHQ0Ll++DB8fH/z444/w9PTkuticI/WmnYSEBLz//vu4ffs2/Pz8MHnyZAwaNAhmZmaora1FcnIyIiMj8eDBA7z22mvYtGkT7OzsuC42p8ixprlOXWd0B6BQKOiffvqJNjU1pSdOnEinpaXRcrmcjo+Pp7dt20Zv27aNzszMpKVSKf3333/TQ4cOpfv160enp6dzXXROkXrTTmxsLN2tWzfa3d2dPnHiBN3c3EzX1tbSO3fupLdt20b/+uuvtEgkouvr6+ndu3fT3bt3p8eOHUuXlZVxXXTOkGNNc529zjpEuFy+fJm2srKiZ8+eTQuFQlqpVNI0TdOff/45DYAGQB88eJCmaZpWKpV0QUEBHRgYSAcFBdE1NTUclpxbpN40l5WVRbu4uNADBw6kMzIymDrLycmhLS0taQC0i4sLLRQKaZp+VG9Xrlyhe/bsSS9YsIAWi8VcFp8z5FjTXGevM94P6ItEInz55ZdwcHDADz/8ACsrK1AU9dTfpygKTk5O+PHHH5GdnY1Dhw61Y2n5g9Sb5hQKBb7++mvU1NRgx44d8PT0fGadAY/qLSgoCN9++y3OnDmDmJiYdiotf5BjTXMvQp3xPlySk5ORmJiIFStWoEePHs892YFHX8TgwYMxd+5c7N+/H83Nze1QUn4h9aa5Bw8eIDIyEjNnzkRQUFCr6gx4VG/Tp0+Hv78/9uzZA7lcruOS8gs51jT3ItQZ76e4/PXXXzAyMsKrr76KzMxMtRO3vLyc+d8PHz7E7du3mf9vZWWF6dOn49ChQ8jPz+84g2AsIfWmufj4eDQ2NmLWrFnIz89HU1MT87OioiIoFAoAgFQqxZ07d2BhYcH8vHv37pg5cyY2bNiAsrIy9OzZs93LzxVyrGnuhagzrvvlnmfBggV037596ezsbNrZ2Zk2NjZm/tPX12f6Jg0MDNR+tnjxYjovL4/u2rUrHR0dzfXHaHek3jT38ccf01ZWVnRmZib9yiuvqNWLkZERU2cURan9zMTEhP7555/pq1ev0ubm5nRSUhLXH6VdkWNNcy9CnfG65ULTNMRiMYyMjKCnpwexWAyxWPzE35XJZJDJZMz/l0qlMDQ0ZP7uRULqTTsikQj6+vowMjKCRCJ56udX1W9LcrkcJiYmoGkaEomkPYrLC+RY09yLUme8DheKotC1a1dcv34dCoUCY8aMQW1tLfPz+/fvIzc3FwDg5eWF7t27Mz8bNGgQamtr0dzcjOjoaEilUri6usLFxQU2Njat7k/viNioN7FYDD09vfYuOqfs7e0hEolQW1uL4cOHw9TUlPmZSCRCfHw8EyKBgYHMg5MURcHZ2RkVFRUQCASwtrbm6iO0K6VSierqalAUhbq6Oq2PNYlEAhsbm/YufrsSi8XIyMjArVu3cOvWLfz9998wNjbu1HXG63ABAF9fX4SHh6OsrAyHDx9W+9n69evx9ddfAwA++ugjvPHGG8zPKIrCwYMHYWBggL59+yItLQ0XL14EAFhaWsLV1ZUJm969e8PAwKD9PlQ7aGu9SSQS/PTTT7h06RJ8fHwwZMgQeHh4dNrAKSsrQ25uLpqbm3H9+nVs3rxZ7ee5ubnw8/NDXV0dHBwccOzYMVhZWTE/pygKn376Kezt7Tv1eItIJEJpaSnKyspQXl4OmUwGe3t7VFZWan2sGRsbw83NrV0/hy7RNI2ioiImSFJSUnDnzh3mxsTb2xsjR45EdHR0p64z3ofLyy+/DHNzc4SHhyMgIEBtmQ2BQKD2v1te+Jqbm3HgwAG8/PLLeO+996Cnp4eGhgbk5uYiLy8POTk5iIyMhFQqhUAggJOTExM4rq6usLW17dCtm5dffhldunTRut4mTJiANWvW4Pbt27h48SJOnjzJnBhDhgyBj48Punbt2q6fiW0KhQIXLlzA3r17ERUVBT09PVhYWCA8PBzz5s1TG7BvWUcURanVG03TKCkpwYkTJxAYGMisB2VjY9Phl4VRKpWoqqpiAqWurg4URcHW1hb9+vWDo6MjfH19cfz4ca2PtaCgIDg6Orbr52JTc3Mz0tPTmSBJTk5GVVUVAKB3797w8fHB7Nmz4evri379+kFfXx+5ubm4du1ap64z3h/5vXv3xhtvvIGwsDDMmDEDkyZNeu5FX6lUYv/+/UhJScHp06eZL8fc3Bze3t7w9vZmfq+4uJgJmzt37uDy5cvM77YMm169esHIyEi3H5YljY2NuHXrFjw9PfH7779rXW+jRo3C6NGjQdM0cnNzmRNn586doGkazs7OTNB4eHh0mNZfSUkJ9u/fj3379uHhw4cYOHAgvvvuO8ybNw+//fYbPvzwQ2zfvh1r165tVThIJBJs3LgRIpEIH3zwAczMzFBZWYmKigqYm5vDxsYGZmZmHeZmpbm5Wa11IpfLYWxsDEdHR3h6esLBwQGGhobM71tZWWl9jiYkJGDz5s1qF1Q+o2kaBQUFSElJYVommZmZUCgUMDU1hbe3N15//XWmtf+0ris2r2t8xftwEQgE+Pjjj3Ht2jUsX74cv/76K8aMGQOBQACBQAB9fX1QFAWKokDTNBQKBY4ePYr//Oc/WL58OUaMGPHM13ZycoKTkxNGjRoFAGhqakJubi7zX3R0NMRiMQQCAXr06KEWOHZ2dry7YGRkZODy5cvQ19fHt99+i9WrV7e53iiKgpubG9zc3DB79mw0NjYiLS0NKSkpuHLlCs6cOQNjY2N4eXnBx8cHPj4+sLe357AWHqdQKBAbG4uwsDBER0fDyMgIc+fOxZIlSzBs2DDme3zzzTdx5coVbN68GV26dMHy5cthbGwMANDX14e+vr5ai6WhoQFfffUVjh49ih9++AGDBw8GAHTr1g21tbUQCoXIz8+HgYEBbGxsYG1tzbsQViqVqKysZAKlvr6eGbfz8PCAo6PjMx/ya8s5OmrUKMTHx0MsFiM0NJR341VNTU1IS0tT6+ISCoUAAFdXV/j6+mL+/Pnw8fFB3759W33B1+V1jS86zMKVd+/excKFC5Gfn4/ly5dj8eLFUCqVKCkpAQC4uLigrq4OP//8M44cOYIFCxbg22+/RZcuXdr0vkqlEqWlpUzY5OXlobS0FABgamqqFja9e/dmLkTtraGhAX/88Qfy8vIwYMAAjBkzBsbGxjqvN5qmkZ+fz9zJZWZmQqlUokePHkzQDBgwgLMLalFREX799Vf8+uuvKCoqgre3N0JDQ/H666/D0tLyiX9TWVmJd999F1FRURg/fjzef/99eHh4ICsrC0qlEoaGhujTpw+uX7+O7777Dqmpqfjyyy+xfPnyJ15cmpubIRQKUVdXB6VSCQsLC85bM01NTSgtLUVpaSkqKiqgUChgYmICR0dHdOvWDQ4ODhp/Z9oea/fu3cPevXshlUqxYMECjBo1ipN6oWkaeXl5SE5OZo5n1XduZmbGtNJ9fHwwePBgtTE3bbW2zn766SccPXqUtetae+gw4QI8ulCMGDECpaWlsLS0hKenJ5ycnKBQKJCfn4+srCzY2trik08+wcKFC3XWjdXc3Iy8vDwmbHJzcyESiUBRFLp37642WcDR0VHnJ0p6ejouX74MQ0NDjBs3Dq6urmo/Ly4uxsaNG3Hs2DHo6+vrtN6am5tx+/Zt5k6vuroahoaGTKtmyJAh6NatW1s/8jPJ5XLExMQgLCwMMTExMDExweuvv47Q0FD4+Pi06vtoamrCnj17sH37dpSXl8PV1RXu7u4wNzdHTU0NsrKyUFJSAl9fX/znP//BSy+99NyuHaVSybRmRCIRDAwMYG1tDRsbG52Hr0KhYFonpaWlaGxsBEVRsLOzg6OjI9M6aSttj7WmpiYcOnQIV65cwaBBgxAaGgpbW9s2l+dZGhoakJqaqtYqUY0pubu7Y8iQIfD19cWQIUPQp08fnXXdtabOBAIB3n//fXz00Ucdpnu+Q4XLn3/+iaVLl+Krr75CUVERrl+/joqKChgYGMDFxQVjxozBuHHj2r1LhqZpZraRavymtLQUNE2jS5cucHFxUWvdsHXXUV9fj9jYWBQUFMDLywujR49+6oGnUCiQmZmJc+fOtVu90TSNwsJC5uS9e/cuFAoFunXrptaqYetkKSgoYFoppaWl8PX1xZIlS/Daa69pvQ9GWVkZLl68iL///hu5ubkQi8WwtrbGwIEDMW7cOAwfPlyr71MkEkEoFKK2thZKpZIZmzE3N2ftZqSxsZEJk8rKSigUCnTp0oVpndjb2+sk1NpyrKWlpWHPnj0QiURYsGABRo8ezUp9KJVK5OTkMMfirVu3cP/+fdA0DUtLy8daJe29b8rz6qyurg7GxsZYsmRJu5arLTpMuNA0jeDgYFhYWODIkSPMvykUClAUxbvBLbFYzLRqVKGjWk6kW7duat1p3bp10/gESktLw19//QVjY2OMGzcOLi4urf5brupNJBIxs2pu3bqFyspKGBgYYODAgczJ3b17d43qQiaT4dy5c9i7dy/++OMPmJmZYd68eViyZAmGDBnCavkVCgVommb6xdnwz9aMvr4+MzbTctC8NeRyuVrrpKmpCQKBgGmddOvWTW0GXHvQ5lhrbm7G4cOH8ddff8HLywuhoaEaz0ysq6tjurZSUlKQkpKChoYGCAQC9OvXTy1MXFxceDWh4El1VlBQgEOHDmHOnDno27cvxyVsnQ4TLrGxsXjnnXdw9OhRDB8+nOviaIymaVRUVKhNFiguLgZN0zA2NlZr3bi4uKg9wNdSXV0dYmNj8fDhQwwaNAijR4/W+CLEBzRNo7i4mAka1XMADg4OzInv5eX11DGsvLw87Nu3D/v370d5eTmGDRuG0NBQzJ49G2ZmZu38adghFoshFApRU1PD9PPb2NjAwsLiqYFbX1+PsrIypnWiVCphamqq1jrpqNOhb9++jbCwMDQ1NWH+/Pl4+eWXn1gPCoUC2dnZajO4cnJyAADW1tZMd6yvry+8vb2fem7x3aFDh5iJDx1BhwgXpVKJyZMnw9raGr/99hvXxWGNRCJBfn6+WuA0NjYCABwcHB5r3dy+fRtXrlyBiYkJxo8fj169enH8CdjzzyeYy8vLmf7nljPQoqKiEBYWhosXL8LS0hJvvPEGlixZAi8vL64/AmuUSiXq6uogFArR3NwMfX19ZmxGIBCgvLycCZTm5mYIBALY29szgdKRtsJ9HpFIhN9++w2XLl2Cp6cn3n77bejp6TGtkeTkZKSlpaGpqQl6enro378/M07i4+ODXr168W5Gp7YePnyIgwcPYvbs2ejXrx/XxXmuDhEu0dHRWLFiBX7//Xf4+flxXRydoWkaVVVVal1phYWFEIlEzMV26NChCA4ORt++fTvVRaQlmqZRWlrKXDwSExORk5ODoqIiiMViDBo0CCtXrsS8efM6xKyZthCLxcjPz0dOTg7Ky8shEolgamoKOzs7dO/eHY6OjrC3t+ddtzBb5HI5srKycPbsWfz+++8oLS2FUqmEsbExunbtCl9fX6ZlMmjQoE5/PBw6dAgikQihoaG8D03eh4tSqcSkSZPQtWvXDrFBDptomsb169cRGRmJxsZG2Nvbo6amBvX19QAAOzs7tdZNjx49Os1FRiKR4MyZMwgLC8Ply5dhbm6OoUOHwsbGBhKJBHp6evDw8GBaNc7Ozrw/2VpLJpOptU5UMxFNTU1hZGQEMzMzWFhYwMrKCjY2Nh1m9lBrVFVVMeMkt27dQlpaGjMW1a9fPxgYGKC2thbDhg3Dhx9+yPun1NlWWFiIAwcOYNasWejfvz/XxXkm3oeLqtVy/PhxDB06lOvitJuamhrExsaiqKgIQ4YMwahRo2BgYACapiEUCtW60goLC6FQKGBgYIDevXurBU57D+C2VVZWFvbu3YuDBw+iuroaI0eORGhoKKZPnw4TExMAj2ZwqVo16enpkEqlsLW1ZbpCvL29O9wdbG1tLRMmVVVVoGka5ubm6NatGxwdHWFnZ8fcOEgkEmZsRvVkuI2NDSwtLTtUwMrlcty9e1dtBldhYSGAR4uI+vj4MF1cLcff7t69i927d6Ourg6vvfYaxo8f36E+d1sdPnwYzc3NvG+98DpclEolJk6cCHt7exw8eJDr4rQLmqZx69YtXL16FWZmZhg/fjycnJye+TcymQwPHz5UCxzVKqu2trZqYdOzZ0/eDfCKRCKcOnUKe/fuxdWrV2Fra4uFCxdiyZIlz+1blslkaheooqIiCAQC9O/fn+kucXFx4d1JKJPJUFZWxgSKWCyGvr4+7O3tmUB53sAzTdPM2IxqzEE1NsPH1kx5eTlzU5CSkoLbt29DIpEwMwZVrVAfH5/nzqAUi8X4/fffERsbi379+uHtt99+YVoxRUVFCA8Px8yZM+Hh4cF1cZ6K1+Fy7tw5rFy5EidOnICvry/XxdE5oVCImJgYlJSUwMfHByNHjtT6OYSamhq1sHn48CHkcjn09fXRq1cvtcBh4+E5bdy9exd79+7FoUOHUFNTg9GjRyM0NBTTpk3T+uJYUVHBdKncvn0bYrEYVlZWTNAMHjyYk9lkNE2rtU6qq6tB0zQsLCzUWifaTolVtWZqa2shl8uZ1oyFhQUn02xVu3W2bJWonjrv3r272gyuAQMGaD3j8d69e9i9ezeEQiHmzp2LCRMm8Gpasa789ttvaGxsxNKlS3l346TC23BRKBSYOHEiHB0dceDAAa6Lo1M0TePmzZuIi4uDubk5JkyYgB49erD6HnK5HIWFhWqTBaqrqwE8mq7ZMmycnZ111rppbm5GREQEwsLCkJCQADs7O4SEhOCtt96Cu7s7q+8ll8uRmZnJXNwePnwIiqLUnnNwc3PT2ckplUqZ1klZWRnTOnFwcGAChe3uO5qmUV9fD6FQiMbGRujp6TFjM7pcmqikpERtKnB6ejpkMhkMDQ0xaNAgpkUyZMgQ1lsYUqkUx44dQ2xsLPr06YO3335bbQ+UzqgjtF54Gy6RkZFYvXo1Tp48yfrDcHxSXV2NmJgYlJaWYujQoRgxYkS7rcNVW1ur9qBnQUEBZDIZ9PX1H9uCwNrauk0X4fT0dOzduxeHDx9GXV0dXnnlFYSGhmLKlCnt9pxOVVXVYwPFFhYWTNAMHjy4TWNUNE2jpqaGaZ0IhULQNA0rKytmiZWuXbu22521VCplxmbkcjm6dOnCjM20pQwSiQTp6elqXVxlZWUAgJ49e6pNBfb09Gy34zk7Oxu7du1CdXU1Zs+ejUmTJnXqVsyRI0dQX1+Pt99+m5etF16Gi0KhYO7e9+/fz3VxdEKpVOLGjRuIj4+HpaUlJkyYwPndlkKhQFFRkVp3mmpfipYbrKm2IHjeRaOpqQnHjx9HWFgYrl+/DgcHB7z55ptYvHjxY+uftTeFQoF79+4xd9r5+flqa0r5+Pi0aj0piUSi1jpRjSG0bJ2oJiJwpS2tGdXDri0Xc1Q98GpsbAxvb2+mReLj4wM7O7t2+lRPJpVKceLECZw/fx6urq5YtmwZ670AfFFcXIz9+/djxowZ8PT05Lo4j+FluJw9exZr1qzB6dOnmb1XOpOqqirExMSgvLwcfn5+alvm8k19fb1a6yY/P/+5G6ylpqYiLCwMR44cQWNjI8aNG4clS5Zg8uTJvFtuXkUoFDIXz9TUVDQ3N8Pc3ByDBw9mLp6WlpbMbD3V8vSq5detra2Z1omtrS1v75ilUilqamogFAqZ1oy1tTWsrKwgEAggEomYhUdV9VFZWQng0R4kLZdN6d+/P2+P2wcPHmDXrl2oqKjArFmzMHny5E4zTb+lo0ePoq6ujpetF96Fi0KhwPjx4+Hs7Ix9+/ZxXRxWKZVKXL9+HfHx8bC2tsaECRN0vkIw21QbrLVs3VRUVEAmk6G4uBjZ2dkoLCyEvb093nrrLSxdurTDrSSgUChw//59JCcnMwscSiQS2NrawtHREU5OTnB2dkb37t2Z1glXWy1oS9WaSU9Px82bN3Hv3j3cv38fOTk5oGma2fiq5WKOul6lmG0ymQwRERGIioqCi4sLli1b1um2oC4pKcGvv/6K6dOnY8CAAVwXRw3vwuX06dN4//33cebMGQwaNIjr4rCmsrIS0dHRqKysxLBhwx7b2rQjUk2b/uWXX/D7779DJBKhf//+6N27NxwdHaGvr98hNlj7J5qmUV1dzbROioqKkJeXh/LycpSUlECpVMLGxkatS4hvm1w9SVNTE27fvs10caWkpDCz1pycnNC3b1/069cPgwcPhq+vL69bYJrIycnBrl27UFZWhpkzZ2LKlCmdqhVz7Ngx1NTUYNmyZbw6t3gVLgqFAmPHjoWLiwv27t3LdXFYoVAokJSUhMTERNjY2GDChAkdfj5+XV0djh49irCwMKSlpaFHjx5466238Oabb8LJyanDbLDWkkgkYgbiy8vLmZlOqvW6HB0dYWRkBKVSiQcPHjCtGtWdvouLCxM0/fv35/zipdr4quVU4H9ufKWaCqza+Eq1s6ZQKGRWEFaNzXA9btRWMpkMp06dQmRkJJydnbFs2TI4OztzXSxWqFov06ZNw8CBA7kuDoNX4XLq1Cl88MEHOHv2bKdYiLCiogLR0dGoqqqCv78//P39Ob/oaEu1FM3evXvx+++/QyKRYOLEiQgNDcX48eOf+7labrCmCpwnbbDm6uoKBwcHnd+BKZVKVFVVMQPxLR86VQVKa2bI1dfXIzU1FcnJyUhNTUV9fT26dOkCb29vZnyiPbqTVBtfqWZwpaamMp/J3d1d7QHF1kxUkMlkzNiMTCaDsbExbGxsYGVl1WGPYeDRato7d+5EaWkppk+fjqlTp3b4HgTgUetFKBRi2bJlvGlt8iZcFAoFXn31Vbi5uSEsLIzr4rSJQqFAYmIikpKSYGtry6wy0BHV1tbit99+Q1hYGDIyMuDs7My0Utoyu63lBmuq/3S9wVpzc7Na60Qul8PIyEitddKWadE0TattSJWdnQ2aptGrVy8maDw8PNp8MXvWxlcWFhZqz5SwMb26sbGRac1QFAVLS0vY2Nh0uCV2VORyOc6cOYMzZ86gR48eWLZsGXr37s11sdqktLQU+/bt41XrhTfhcvLkSXz44YeIjIzkTeVoo7y8HNHR0RAKhfD398fw4cM73J0eTdNISEhAWFgYTpw4AZlMhilTpmDJkiV49dVXdfZ5RCKR2hYEqg3WKIqCo6OjxhusKZVKVFZWMq0T1Ra2LVsnVlZWOmslNTQ0IC0tjZl5VVtbC2NjY7WHClszdVe18VXLza+42Piqs7Vm8vPzsWvXLhQVFWHq1KmYPn06b2cztsbvv/+O6upq3rReeBEuCoUCr7zyCvr27Yvdu3dzXRytKBQKxMfH4/r167Czs8PEiRM5n/OvKaFQiEOHDmHv3r3IzMxE7969sWTJEoSEhHAyq02bDdaampqY1klFRQXzPIaqZeLg4MDJ5mr/HANRjX84OTmpPXAoEAhw//59JkSSk5PVNr5S/S7XG1+pWjOqFbpVrZmOthGXXC7H2bNncfr0aXTr1g3Lli3j/BksbZWVlWHv3r2YOnUqL4YVeBEuJ06cwL/+9S9ERUXxbjpda5SVlSE6Oho1NTUIDAzEsGHDeHHn0Bo0TePatWsICwvDyZMnoVAoMG3aNISGhmLMmDG8+xxisRgFBQVM2Dx48ABVVVUQiUQwNDSElZUVHBwc4OHhgYEDB6J79+6crZ32LE1NTUhLS8PVq1fx119/obCwEA0NDRCJRAAAExMTDBgwQK2Lq3fv3ryaDQQ8ujirWjNSqRRGRkbMNs0dqTXz8OFD7Nq1Cw8fPkRwcDBmzpzZIVsxx48fR2VlJd555x3Oz13Ow0Uul+OVV15B//79sWvXLi6LojG5XI74+HjcuHED9vb2mDhxosZ7fXOlqqoKBw8exN69e5GdnQ03NzcsWbIECxcuhIODA9fFe6bGxka1sZPa2lrU1tZCIpGgrq4OdXV1AAAjIyO1LQhcXFw43WBNtfGVqvWSkpKCvLw8teX1DQwMIJFIYGZmBicnJyZc2rK4Y3vp6K0ZhUKByMhInDx5Eo6Ojli2bBnc3Ny4LpZGVK2XKVOmcP4oB+fh8vvvv+OTTz7B+fPnebsA25OUlpYiOjoadXV1CAwMhJ+fH+d3Cs+jVCrx999/IywsDGfOnAEATJ8+HaGhoXjppZd4d1esolAoUFFRwQRKY2MjBAIBunbtynR3WVpaMr8vlUrVWje5ublP3WCtZ8+eOvveqqur1ZZNabnxVcvtm318fNCzZ0+m/pubm5mn5G/duoXq6moYGhqqLUvP54dv5XI5amtrIRQKIZFImNaMlZVVh5iZVVRUhF27diEvLw+TJ0/G7NmzO1Qr5sSJEygvL8fy5cs5vSZxGi5yuRwvv/wyBgwYgF9++YWrYmhELpfj2rVrSE5OhqOjIyZMmMD7J5crKipw4MAB7N27Fzk5Oejbty9CQ0OxYMEC3ra0GhoamDCprKyEQqFAly5d1MZOWnuhetYGa4aGho9tQaDN7CrVxlctF3N8+PAhgGdvfNWashcWFjJBc/fuXSgUCjg6OjJBM3DgQF7u3wI86v4TCoVMa9LCwgI2NjacbHugCYVCgXPnziEiIgJ2dnZYtmwZ66t260p5eTnCwsIQHBzM6fJZnIbLsWPHsHbtWkRHR/N+y07g0UJxMTExqK+vR1BQEHx9fXnbWlEqlbh06RLCwsJw9uxZ6OnpYdasWViyZAmCgoJ410qRy+VqrZOmpiYIBALY2dkxgcLmrppt3WCtoqJCbSqwauMrfX19eHl5qe1X0pqZba0lFovVWjWVlZUwMDDAgAEDmPfr3r07L7/flq0ZQ0NDZmyGz62Z4uJi7N69Gzk5OZg4cSLmzJnD++5JAIiIiEBZWRmnrRfOwkUmk+Hll1+Gl5cXfv75Zy6K0GoymYxprXTv3h0TJkyAjY0N18V6otLSUqaVkp+fDw8PD4SGhuKNN97gXZnr6+uZJVYqKyuhVCphamrKhIm9vX27XnietsGaQCCAoaEhs4S9aj014NHGVy2nAg8YMKDdWhE0TaOkpIRpKd25cwcymQz29vZMmQYNGsSLFRBa6mitGaVSiejoaBw/fhy2trZ4++23n7tDKtcqKiqwZ88eTJ48GYMHD+akDJyFy9GjR/Hvf/8bMTExvP6iioqKEBMTg8bGRqa1wre7QoVCgQsXLiAsLAxRUVEwMDDAnDlzEBoaCn9/f96UVy6Xo7y8nGmdNDc3Q09PT611wuWAu4pq4yvVlgh37tyBWCyGUqmElZUVunbtChcXF/j5+WHIkCE632CttcRisdruj2VlZcz4jipsnJyceHM8KBQKpjUjFothaGgIa2trWFtb83KMo7S0FLt378b9+/cxfvx4zJ07l7fdkcCj1ktpaSmWL1/Oycw9TsJFJpNh9OjRGDx4MH766af2fvtWkclkuHr1Km7duoUePXpgwoQJvFucULWm0L59+1BYWIiBAwdi6dKlmDdvHm+m39bV1TGtk6qqKmZtq5atEy6nrEokEmRkZODWrVut2viqqamp3TZYa6vS0tLHdobs2rWrWquGL0/ZNzc3M60Z1ew5VWuGL2EIPGrFxMbG4vfff4e1tTWWLl3K24lIqtbLpEmTONlwkZNwOXLkCD777DPExMSgb9++7f32z/Xw4UPExsaiqakJo0aNwpAhQ3hzgCsUCsTExCAsLAzR0dEwNjbG3LlzERoaCj8/P87LKZPJUF5ezgSKSCSCnp4e7O3tmUDhqvtDtfFVy6nAGRkZbdr46lkbrFlZWak96NmaDdZ05Z972peUlEBPTw/9+/dnuvR69erF+fHzz9aMgYEBMzbDp9ZMWVkZdu/ejaysLIwbNw6vvfYa77ofgUcrn5SUlHDSemn3cFG1Wnx8fPDjjz+251s/l1QqxZUrV5CamoqePXtiwoQJvGkBFBYWYv/+/di3bx+Ki4vh7e2NpUuX4vXXX2d1oFsbtbW1aq2Tls9tdOvWDV27duWkdaLa+Krl3u6qja969eqlNhWYzY2vNNlgjavZeuXl5WqtGolEAhsbGyZYuXz6X6W5uRk1NTWora2FUqlkWjPm5uachyDw6Gbljz/+wNGjR2FpaYmlS5fy7iHwyspK7N69m5PWS7uHy+nTp/HBBx8gNjaWd1P7YmNjce/ePYwaNQqDBw/mxQEMPDqIPT09UV5ejtdffx1LliyBj48PL8onEokQGRkJfX19tdYJ1xcmAIiMjMTKlSuZVYpVXVxDhgxp1+njT9tgrVu3btiwYUO7leNpZDIZ7t69y4RNUVERxo0bh+XLl3NdNACP6k/VmhGJRHBycuLNTR/wKKj37NmDrKwsbNmyhXfLPp06dYoZe2nPawYr4aLJS9A0zSwToSltKkaTskkkEmbdKk3pumxKpRIURWn1ProuW2NjI0xNTdulbJrWmUKhgL6+vsbvo+s6k8lkkEqlWoVwe5wHAHh7jhoaGvLuWAMetVi16UXQdZ2JxWJQFNVu3yfzt2yEy9atW3U6qCUWi9HY2Ig33nhD47+Ni4t74nL3CoUCCoUCFEVpdfFpqampSavpfhs3bnxsiQaFQgGRSAQjIyNW+pjLy8vx9ttva/x3GRkZrN0dyuXyJ3Y5icVi9OnTR6PX+uGHH554rEmlUgBg5RmEqqoqLFiwQOO/i4yMfOY2ukqlEjKZDAKBQOtjrr6+Hi+99JLGf3f06FFYWVnp9I6/trYWEyZM0PjvysvLNdqMTKlUAoBGN1tyuVzjqfgRERGwtbXVaSu8rq4Or776qsZ/d+XKFY2WaZLJZACg0TWlsbERvr6+GpdNhZVO5pycHKxatYqNl3pMWVkZQkND0bt3b63CRSgUIiAgAMCjC7dqWZCqqipIJBJQFAUzMzP06dMHHh4eWl3QIyMjtQqXe/fu4dNPPwXw6I7s6NGjOHbsGMrKymBhYYF58+Zh6dKlbXoIav78+VqFS0NDAzw9PbV+X5W8vDxkZWXB09PzsZ3/EhISNA6XBw8eYPXq1Wr/lpiYiE2bNoGiKHzwwQcYM2ZMm8q8YsUKrcKltLQUkydPfuLP0tPTcenSJdTX18PAwADm5uZwdHSEu7s7+vbt2+pZW7t379YqXIqKivDHH38gODgY48eP18ng83fffadVuEgkklbtd6RaBqipqQkAmCX/W1N3hYWFGodLcXEx/vrrL3z//fc6m2a+fft2rcKlqqoKQUFBz/09pVKJuLg4tb2FgoKCWhXmJ0+e5D5cKIrS2YDtypUr4ePjA6FQqPVrUBSFsrIy/Pnnn1AoFHBzc4Ofnx9MTU2ZHQlVM2mmTZvWbv3xqnrLycnB4sWL0dTUhBUrVsDLywv5+fn48ssv8ffff+PIkSOcPGXb1vdUKBRITk5GUFAQrl27xspspH8ea9XV1XjzzTfx1VdfQV9fH8uXL8exY8fg4+PTpvfRtmxPqrObN28iPDwcs2bNQq9evSAWiyEUClFcXIzz58/j5MmTGDt2LEaOHKmz75miKLz33ns4fPgw/vrrLyxevJg344qtaYHI5XLk5ubCyMiIWfGgoaEBDx8+hKWlJaurILQsl4ODA3bu3PnYDQ3XnnastaRUKnH06FFIpVK8/PLL0NPTw40bN7B//34sXLhQ5xOB+LvuAh71K6alpeHw4cP48MMPtX6d3NxcREVFITAwEN7e3jAwMFA7EHv27ImBAwfi5s2bOHz4MJYuXdpue4bHx8dj1qxZCAkJwfr165km+LBhwzBu3DgEBATgww8/xJYtW3hxIdBEWloarKys0K1bNxgbGyMnJ0fjlsqz0DSNuXPn4vXXX8ecOXMAPArE+fPnIyMjg/OHGoFH3RF79+7F+++/D3d3d7XvkKZpyGQyZGZm4vjx47h37x5CQ0N1dqM2aNAgeHh44OLFi9i6dStGjBiBRYsW8fpBQOBRPeXm5sLU1FRtaZsuXbrAxsYGDx8+xMOHD+Hs7Mz6OfLhhx8iNDQUDQ0NvHjAt7Vomsb58+fR1NSEt956i+mRcXZ2xl9//YV9+/ZhxYoVOl3Khp8LY/0f1cBiWy/0586dw5QpUzB06NCnDgbq6+tj+PDh8PDwwJEjRzQezNPW1KlT8fXXX+Obb755rG/XysoKV65cwS+//MJsGNVR0DSNBw8eMOuYBQYGIjU1ldX3uH//PvLy8rBhwwbm7nfatGlwcXHBunXrWH0vbe3btw/u7u6PBQvw6O7T0NAQ3t7e+Pe//w2hUIiff/5Zp8eegYEBxo8fj//9738oKCjAZ5991qZeAV1TLXFDUdRja6ap6s/V1RVisRjl5eWsv7+JiQnGjRuHjRs3tts1gQ01NTW4ffs2Fi1apNbVLxAIMGbMGDg7O+PgwYM6/Uy8Dpd9+/axcjfy+uuvw8XF5bmvQ1EUXn31Vea5jfYQFRWFN99886lls7Ozw1dffYWxY8d2qINbNYCoujGwtbWFUqlkBmPbiqZpzJ8/H59//rnanT5FUfjtt9/w22+/QSwWs/Je2qJpGrdu3WrVFFBTU1N8+OGHePjwIWJiYnRaLoqiYG9vjw0bNqBPnz748MMPkZOTw8vjSyKRoKam5pnnr0AggKurK6qqqpiJHWxauHAhampqcOnSJdZfWxdomsbBgwcxZsyYJ46tURSF6dOno7GxEdeuXdNZOXgdLr/88gsrzwHY29u3OqAoisL48eMRERHR5vdtjdas/fXBBx+goqIC6enp7VImNqSkpKBr167MZ1PdZaqWoW+rwsJCVFdXY/HixY/9zNraGv7+/m3qSmXDjRs3YGpq2uqWt6GhIT7++GOcPn2aGbTWJQMDAyxbtgwzZszAunXrcOXKFdbCnw2q7rDu3bs/t4vTwMAA9vb2yM3NZT0kBQIB1q1bh/3796OoqIjV19YFoVCIpqYm+Pv7P/V3BAIBFi1ahCtXrjCrgbON1+HS1NSEkSNHtvv7enp6QiKR6OQuSBsURWHLli2YPHkyL+8un6SgoADDhw9X+7ehQ4ciJSWlza+tarW8//77Tw1m1SKeCoWize+nrYMHD2LJkiUa/Y2dnR2CgoLwww8/tMt3TVEUpkyZgo8++ggHDhzA999/j+zsbOaZL67QNI3S0lLo6+u3ek0/Ozs7yOVypjudTU5OTliwYAG++OILVFdXs/76bDpy5EirNv+zsrLCSy+9hPDwcJ1817wNF7lcDgDcrOZJUejZsyf+/PPPdn/vp3n77bdRWVmJkpISrovyXKoD9Z9TRHv06AGZTNbmAzk/Px/FxcVYuXLlU3/H3Nwcrq6u2LJlS5veS1sKhQJSqVSr6dzz589HYWEhGhoadFCyx1EUBR8fH/zvf/+DlZUVtmzZgrVr1yIsLAx37tzhJKBVC1m6urpq1Ovg4OCAgoIC1stDURTGjRuHMWPGYN26dSguLubljZ5cLmd2x22NESNGQE9PD3/99RfrZeFtuFy6dInT2RnBwcHIzMzk7P3/iaIorFy5ElOmTOG6KM+luuN80gA2RVFobGxs0+vPnTsXa9eufe5UzAMHDuh8gPxp/v77b1hZWWk1Xqinp4dRo0a1+9p7NjY2CA0NxebNm7Fw4UJQFIVt27bhv//9L2pqatqtHFKpFPn5+XByctJ4xl/Xrl0hk8l00r1HURTmzZuHV199FRs2bEBcXBxzE8wXFy9ehIODg0aBvGjRIsTHxzNbgbOFt+Hy3//+V6uH/9iimrnFZbfKP33zzTe4c+cOmpubuS7KM928efOxlQdUXFxckJSU1KbXHzt2bKuOjZ49e8LAwKDN76eNkydPatwl1tLrr7+Ohw8ftvsYCEVRsLS0hI+PD5YsWYJvv/0WVlZW+Oijj3QyG+uflEolcnJy0LVrV62XUjEyMtJZWSmKwowZM7B8+XJERETgm2++QVxcHMrKytDU1AS5XM5Zi4amaSQnJzPT8lvL3NwcQUFBrHeP8TZcCgoKsGjRIs7eX/XkflpaGmdl+Cd9fX2MGzcOCxcu5LooT0XTNMRiMVxdXZ/4c29vbwiFwjYdxF999VWr7swoisI333yDZcuWaf1e2lAt89KWhVn19PRgY2PDadcsRVGwsrLCu+++i5dffhkff/yxTrvqaJpGQUEBTExMNJqE80/Ozs46HRdRdSNu2rQJvr6+uHDhAjZv3owNGzbgq6++wr59+3Dr1q12H7MVi8WgaVqrUB41ahSam5tZfeSBl+GiuvBwvbLu2LFjdTpVTxtHjhxBVFSUTgYt2aAq19O6rFTdZaotbrWhyUVnxowZqK2thUgk0vr9NJWUlMTKJlcrVqzAmTNnWCqV9iiKwvz58zFs2DCsXbtWZ615sViMpqamNj9+oHowUNetPlNTU0yYMAGfffYZ1q9fjxUrVmDSpEkwNTXFkSNHsGnTJuTl5bVbS+bcuXMajVG1RFEUZs+ejYiICNbKy8twKSkpgUAg4PyJdFdXV0ilUl4N3JmZmWH06NEICQnhuihPdPPmTXTr1u2pP6coCoMGDWq30KYoCgEBAfjkk0/a5f2ARzcAT5oiramePXtCoVAwzwxxiaIoLF++HIaGhvjxxx9ZPydomkZ+fj569OjR5iVwVNPeVZu26ZJq4Vtra2tm6+vXXnsNX375JXx9fbFp0yYkJibq/BpC0zSysrIwdepUrV/D1dWV2VCPDbwMl2+++QYjRozguhhMuHH9MN4/RURE4MyZM8jPz+e6KGpUT1P7+fk98/f69u373N9h0y+//IIzZ8489wSXy+W4fPlym95LqVRCIpGwsmkURVFwdHTEuXPn2vxabBAIBNi0aRPi4+Nx69YtVl9btUo5W6s29+jRg9kYrr1RFAUTExNMnToVa9aswc6dO3Hz5k2dvqdqYkFbtq2mKAoTJkzA77//zkqZeBkusbGxWL9+PdfFAAB0794dV65c4boYaszMzLBhwwaMHj2aV7NVWrsPiGrKaHuxsrKCoaHhM5+xoWkay5Ytw/fff9+m97p48SKsra1Za3WHhobijz/+YOW12GBqaopPP/0U33zzDatds4WFhbC0tGSt3rp06QKapjntdVC10v/1r39h+/btOn2M4PLlyxrNEnsab29viEQiVro+eRcuNE1DLpc/dUC4vY0bNw537tzhuhiP+eSTT+Do6IiFCxfyptsuISFBJ4sHthVFUfjPf/6DpUuXPvV3bt++jb/++gvHjh1r03udOnUKK1asaNNrtKTqGuPLdww8ugB5eXnhm2++Ya1cTU1N6N69OyuvBfz/Xgc+3HwNGDAA8+fPxxdffKGz8aqbN29i+vTpbX4diqJgbW2NhISENr8W78KlrKxM6x0XdUG1JhafTm7g0UFw4cIF3LhxA2vWrOF82Q6aplFZWYmhQ4dyWo6nmT9/Pqqqqp44fkHTNEJCQp64eKimRo0aBScnpza9RkuqPn0+dYFSFIW1a9ciLS2NtSm/3bt3Z327AVNTU5SVlbH6mtpQdTfZ2dlh165drF9LVDcfbG0VMmPGDCQmJrb5dXQSLgqFAnl5eYiOjsa+fftw8OBBJCQktGq9pH//+99abTikK6r9Q550kKqm3XLFzMwMcXFxuHDhAhYtWsTpDLLs7GyYmJjwYpn7JxEIBOjfvz/++9//PvazsrIy1NXVYfbs2W1+n9dee431G6OXX34ZBw4cYPU128rQ0BBvvPEGPv/8c1YuljY2NqzXW7du3do0K5FNFEXh008/RXx8POvP4CQmJmr9wO6TODo6sjJhiPVwyc7OxtKlSxESEoJff/0VaWlpSEhIwIYNGzBr1ixER0c/9WCkaRpXrlzBxo0b2S5WmwwfPhznz59X+zeappGQkIDffvuNo1I94uDggGvXrqGwsBDjx49ndX5/a5/KViqVuH37tlY7JLanffv2Yd++fY8df2+++SbeeustVk5OXbS4J0+ezMtlf2bMmAGhUNgus7K0oRr740uvQ5cuXfDaa6+xvnz/1atXMXPmTNZeT7VqdluxGi4pKSmYPXs2PDw8cPToURw+fBhbt27Fjh07EBERgWXLlmH9+vX44osvnviA0cOHDyEQCFq9UF17GTZsGGpqatQOiNTUVCQnJ/OilWVjY4PY2Fg4OzsjKCiItS4U1ba8z0LTNFJSUmBubs77zZS6d+8OExMTXLx4kfk3sViMe/fu4d///jeHJXs2vl0kVQQCAaZPn44vvviC66I8kSro+VRvwcHBaGpqYm2Fc7FYDIVCAUdHR1Zej02shUtTUxPeeOMNbNiwAR999BF69OjB7PgoEAhgZmaG6dOn4/Tp00hJScGbb76pdsej6vdevXo1b8ZbVPT19dX6vevq6nDp0iXMmzeP1UHItjAyMsL+/fsxc+ZMjBgxAvfv32/za3p5eeHSpUtobm5+4glK0zTKysqQm5uLMWPG8O57+yeKorBr1y68++67zBjVe++9h4CAALUNlfhG1TWriwUZ2+qNN95AcXExr5ZJakkgELTbAqCtQVEU1qxZw9qq1ydOnICnpycvzz3WwuWtt97C6NGjMWPGjKd+UIqi0KNHDxw9ehSOjo6YNm0aoqOjUV1djV9//RU1NTXPXOmWS8HBwTh79iwaGhrw22+/ISAgAF27duW6WGpUzyGsWrUKI0eObPPeE+7u7nBycsKFCxeQnZ2N6upqNDU1MU9S379/H/Hx8QgMDOT9VrkqI0eORNeuXfH111/j7t27iImJQVhYGNfFei5/f3/Wnj9gk56eHuzs7HixksCT2NjYoKKigutiqBk8eDAAtHlpqaqqKhQUFCA4OJiFUrGPtdHXhoYGHDx4sFUJamJigu+++w6nT5/GDz/8ALlcDoqicPz4cdZnjLDFzc0NDg4OOHr0KHr16oWAgACui/REFEXhk08+QX19PSZNmgQPD482vZaPjw8cHR2Rl5eHvLw8KBQKUBQFmqZhYmKCUaNG8S5kn4WiKJw6dQqzZ8/GmTNn8MUXX8DMzIzrYj3X1KlTsWHDBq3WjdK1tWvX4osvvtBqewFd69q1K4RCIa9ufiiKwurVqxEWFoY+ffpo/ToHDhzAK6+8wttWNyvhYmBggJUrV2q8pIeVlRVWr16NsrIy2Nvbo7i4+KlLD/Ts2VOrsunp6bG2GJuvry/q6upgbW2N3Nxc5t+1PeENDQ0RHR3NStn+KSgoCA4ODlov5SAQCJhBZIqi4OrqCrlcDqlUCoVCAT09PZiYmEAmk2m9JbQ2034NDAxY2W72gw8+QE1NDZycnB57PW2nEuvr6+t0t9CpU6dqPWFDX19fp0+Jz507V+sWAkVROu26sre312oJHX19fVY2t3uaKVOmaL2KgJ6eHoYMGQJbW1tWusCfpK2rJVA0Cx1/mkzHpWkaUqlU4zsJgUDALEinCU0OKtUudppe9AQCgVabmrXHYop6enpa1ZsmD581NDRoNZivGkvQBJ+PNU1WwRWLxczy8JoQCARaTffWZJq6SCSCoaGhxt+NQCDQ6i66vZ7R0rRXRJPvk6ZpNDQ0aHyjqe33qcl1TaFQQCQSadxC1/a6psJKuGiiqakJ1dXVMDY2hqWlJa+aq1lZWaiqqsKgQYN4N/NJtZQFnx4wBYCKigo8ePAA7u7usLOz47o4AB7VlUgkQkNDA+RyORwcHHj3/E12djbKy8vh6OgIJycnGBsbc10kAI/qLi0tDfr6+ujfvz/v6k2pVEIqlcLQ0JA3Xeg0TSMnJwcVFRXw8fHhzXcpl8tRXFyMwsJCGBgYPLbtuK61+7djYmKC9PR0LFy4EP3798fChQt1vqhba/Xq1Qt5eXkIDw/n3SBgamoqjI2NkZqaynVRGHl5efjrr79gaGjIi3EXhUKB06dP45VXXoGHhwc++eQTVFRU8O4CCTw61pqbm7Fz50588MEHOHToEC/2Zlft4fLtt9/ik08+afOuoWyTSCS4f/8+b7acoGkae/bswYYNG6BUKnkRLBKJBHFxcdi+fTuOHDmCxsbGNo29aqvdWy4qSqUSMTEx2LZtG7KzszFixAi89957nC8fIpFIcPz4cdTW1mLOnDntusDis6SkpGD48OFISkrCkCFDuC4O8vLycOPGDbi5ucHHx4fT1pRcLkdkZCS2b9+O3NxcvPzyy1izZg0zK4fPJBIJ/v77b/zxxx9oampCYGAgJk6cyHlY5+fn4z//+Q+6du3Kq0kPIpEIDx48QJ8+fWBiYsJpWVTBcuXKFbzzzjsICgritDwSiQQ3btxAUlISZDIZhgwZgoCAAM4mgXAWLipKpRKxsbHYvn077t27h8DAQKxZswbDhg3jrEwSiQQnTpxATU0NbwKGT+GSm5uLmzdvws3NDb6+vpyVQy6X48yZM/jxxx+Rl5eHV199FWvWrHnqFst8JpFIcOXKFcTGxqKpqQkBAQGYNGkSpyFTUFCA9evXw9bWFl988QUvuor5Ei5KpRJ79uzB1atXsWLFCgQGBnJWFolEguvXr+P69euQyWTw8fFBQEAA598X5+GiolQq8eeff2Lbtm3IzMyEv78/1qxZA39/f07KowoYoVCIOXPmcP4ELF/CRRUsffr0gY+PDydlkMvlOHXqFHbs2IH8/HyMGzcOa9aswcCBAzkpD5ukUikTMo2NjfD398fEiRNZWY5DGw8fPsS6detgY2ODL774gvOp0HwIF6VSid27d+PatWucBotYLGZCRaFQMC0VrkNFhTfhoqJUKnHhwgVs374dd+7cwfDhw5mQae+uF6lUihMnTqC6uprzgOFDuOTk5CA5ORnu7u6clEEul+PkyZP48ccf8fDhQ4wfPx5r1qxhZWMuvpFKpbh69SpiYmLQ2NiI4cOHY9KkSZyEzMOHD7F+/XpYW1tzHjBch4tSqcSuXbsQHx+Pd999l5Ob33+GiqqlwpeuSxXehYsKTdO4ePEitm3bhoyMDPj5+TFLdbRnyLQMmNmzZz9zC19d4jpcuAwWuVyOiIgI/PjjjygsLMSECRPw3nvvcTJI2d5kMhkTMvX19UzItHdXbWFhIdatWwcrKyt8+eWXnAUMl+GiVCqxc+dOJCQkcBIsIpEI169fx40bN6BQKODr6wt/f3/ehYoKb8NFhaZpXL58GVu3bkV6ejqGDh2K9957D4GBge0WMlKpFBEREaisrMScOXM4CRguw+XBgwe4detWuweLTCbDiRMnsGPHDhQVFWHSpElYvXr1CxEq/ySTyXDt2jXExMSgrq4Ow4YNw6RJk9q1NV1YWIj169fDwsICX375JSwtLdvtvVW4CheFQoGdO3ciMTERK1eubNdpvSKRCElJSbhx4waUSiV8fX0REBDQ5r2HdI334aKiCplt27bh9u3b8PX1xZo1axAUFNQuIcN1wHAVLqpg6du3b7vNvpLJZDh+/Dh27NiBkpISJlT69+/fLu/PZzKZDHFxcYiJiUFtbS38/PwwadKkdjsei4uL8fnnn3MWMFyEi0KhwC+//ILr169j5cqV7TbZqLm5GUlJSbh58yZommZaKnwPFZUOEy4qNE3j77//xrZt25CamoohQ4bgvffew8iRI3UeMjKZDBEREaioqMDs2bPbdUVkLsLl/v37SElJQb9+/eDt7a3z95NKpfj999/x008/obS0FMHBwVi9ejX69u2r8/fuaORyOeLi4hAdHY3a2loMHToUkydPbpeQUQWMubk5vvzyyzYvE6KJ9g4XhUKBn3/+GTdu3MCqVavg5+en8/dsbm5GYmIi8/zf0KFD4e/vjy5duuj8vdnU4cJFhaZpXL16FVu3bkVKSgoGDx6MNWvW4KWXXtJpyKgCpry8HLNnz0aPHj109l4ttXe4tGewSKVSHDt2DD///DNKS0sxdepUrFq1Cu7u7jp9385ALpcjPj4e0dHRqKmpga+vLyZPnqzzG5/i4mKsW7cOpqam2LhxY7sFTHuGi0KhwE8//YSbN29i9erVOn8Gr2WoUBSFoUOHYvjw4R0uVFQ6bLio0DSNa9euYdu2bUhOToa3tzdWr16t0/1FZDIZTp48ibKysnYLmPYMl+zsbKSmpqJ///46fWZEIpEwoVJeXo4pU6Zg9erVbVop9kUll8uRkJCA6OhoCIVC+Pj4YPLkyTo9NktKSrBu3TqYmJhg06ZN7RIw7RUuCoUCO3bsQHJyMtasWaPT57mampqQmJiI5ORkUBQFPz8/DB8+nPOHRNuqw4eLCk3TiI+Px9atW3Hz5k14eXnhvffe01nIyGQynDp1CqWlpZg1a5bWqza3VnuFS3sEi0QiwZEjR/Dzzz+jsrIS06ZNw+rVq+Hq6qqT93uRyOVyJCYm4vz586iurmZCRlfHZ2lpKdatWwdjY2Ns3LhR57vItke4tAyW9957T2fPczU2NjKhIhAIMGzYMAwbNqzDh4pKpwkXFdXe9lu3bsWNGzfg5eWF1atX45VXXmE9ZNozYNojXLKyspCWlgYPDw94eXmx/vpisRhHjhzBL7/8gsrKSsyYMQMrV64koaIDCoWCCZmqqioMGTIEwcHBOjlGVQFjZGSEjRs3wsbGhvX3UNF1uMjlcvz4449ISUnRWbC0DBU9PT34+fl1qlBR6XThokLTNBITE7Ft2zYkJSVhwIABWL16NcaOHctqyLQMmJkzZ2q9F8jz6DpcdBksYrEYhw8fxi+//AKhUMiEiouLC6vvQzxOoVAgKSkJ58+fR2VlJQYPHozg4GDWj9OysjKsW7cOhoaGOg0YXYaLKlhSU1Px3nvvsX6eNTY2IiEhAbdu3YKenh7TUuHDYpe60GnDpaWkpCRs27YNCQkJ8PDwwJo1azB27FjWluxWLUdSUlKis4DRZbjcu3cPt2/fhqenJ6tLqIhEIhw6dAg7d+5ETU0NZs2ahZUrV6JXr16svQfROkqlkgmZiooKeHt7Izg4GM7Ozqy9R3l5OT7//HMYGBhg48aNsLW1Ze21VXQVLnK5HNu3b0daWhref/99VqfdNzQ0MKFiYGCAYcOGwc/Pr9OGisoLES4q169fx7Zt2xAfH4/+/ftj9erVGD9+PCshowqY4uJizJw5k9WTFtBduOgiWJqbm5mWSl1dHRMqbNcJoTmlUonr16/j3LlzqKiowKBBgxAcHMxa4JeXl2PdunXQ19fXScDoIlxkMhm2b9+O9PR0vP/++6zNjmxoaEB8fDxSUlKY/VT8/Px4tYeVLr1Q4aJy8+ZNbN26FXFxcejXrx9Wr16NCRMmtDlk5HI5Tp8+jaKiItYDRhfhkpmZifT0dAwYMICV9bmam5tx8OBB7Nq1C3V1dZg9ezZWrlyps65CQntKpRI3btzAuXPnUF5eDi8vLwQHB6N3795tfm1VwOjp6WHjxo2sruzMdrjIZDJmiSm2gqW+vh7x8fFITU2FoaEhhg8fjqFDh74woaLyQoaLSnJyMrZt24arV6+ib9++WL16NSZOnNimkFEtA19YWIgZM2awdkfIdriogmXgwIHw9PRs02s1NTXhwIED2L17N+rr6zF37ly8++67Op9BR7SdUqnEzZs3ce7cOZSVlWHgwIEIDg5u83hYRUUF1q1bB4qisHHjRtZ2KWUzXFoGywcffNDm2ZH/DBV/f38MHTpUqy2zO4MXOlxUbt26hW3btuHKlStwd3fHqlWrMGnSJK33j9ZFwLAZLnfv3kVGRkabg6WpqQnh4eHYvXs3Ghoa8Prrr2PFihXt9mApwR6lUonk5GScO3cOpaWlGDBgAIKDg9s0k6+yshKff/45qwHDVrjIZDJs3boVd+7cwYcfftimSSx1dXVMqBgZGb3woaJCwqWFlJQUbN++HX/99Rf69OmDlStXIjg4WKuQUSgUOHPmDAoKCjBjxow2dzewFS537tzBnTt34OXlpfUCkI2Njdi/fz/27NmDpqYmJlTaczkcQjeUSiVu3bqFc+fOoaSkBJ6enggODoabm5tWr1dZWYl169aBpmls2rSpzQHDRrjIZDL88MMPuHv3Lj766COtxxrr6uoQFxeHtLQ0GBsbw9/fH76+vi98qKiQcHmCtLQ0bN++HZcuXYKrqytWrVqFKVOmaBwyCoUCZ8+eRX5+fpsDho1waWuwNDY24tdff8WePXvQ3NyMefPmYcWKFZxtQ0DoDk3TuHXrFqKiolBSUgIPDw8EBwdrtXpCVVUVPv/8c9A0jY0bN7ZpT5q2hotMJsOWLVtw7949fPTRR1qNNdbW1iIuLg63b9+GiYkJEyoGBgYav1ZnRsLlGW7fvo1t27bh0qVLcHFxwapVqzB16lSNQqZlwEyfPl3rvuy2hktGRgbu3r2LQYMGaby6cENDA3799VeEhYVBJBJh3rx5WL58OQmVFwBN00hJSUFUVBSKi4vRv39/BAcHa7zuW1VVFdatWweFQoGNGzdqvR9NW8JFKpViy5YtyMrK0ipYamtrce3aNaSnp8PExAQBAQHw8fEhofIUJFxaIT09Hdu3b8eFCxfQu3dvrFy5EtOnT291yCgUCkRGRiIvLw/Tpk3Tqh+7LeGibbDU19dj37592Lt3LyQSCebPn4/ly5e3+0ZVBPdomkZqaiqioqJQVFSEfv36ITg4WKMVq6urq7Fu3TrI5XKtA0bbcGkZLB9//LFGLfeamhomVExNTeHv709CpRVIuGjgzp072L59O/744w/06tULK1euxIwZM1oVMm0NGG3DJT09HZmZmfD29ka/fv1a9Td1dXXYu3cv9u3bB6lUigULFuCdd97hbB93gj9omkZaWhqioqJQWFiIvn37YsqUKa0OGVXAyGQybNq0SeOA0SZcpFIpvv/+e2RnZ2sULEKhEHFxcUyoqFoq+vr6GpX5RUXCRQt3797F9u3bERsbC2dnZ7z77ruYOXPmcw86hUKBqKgo5OTkYNq0aRoNkmoTLpoGS21tLRMqcrmcCRW2ppESnQdN07h9+zYiIyNRWFgId3d3BAcHo1+/fs9dXqm6uhrr16+HRCLBpk2bNNpNU9NwkUql+O677/DgwQN8/PHHrWq5C4VCXLt2DRkZGTA1NUVgYCCGDBlCQkVDJFzaIDMzEz/++COio6Ph5OSEd999F7NmzXrmQahUKhEVFYUHDx5oFDCahsvt27dx7949DB48+Ll3lTU1NUyoKBQKLFy4EO+88w6rD78RnRNN00hPT0dUVBQKCgrQp08fBAcHo3///s8MGaFQiPXr10MsFmPjxo2tHr/TJFwkEgm+++475OTk4JNPPnnuDVZ1dTWuXbuGO3fuwMzMDIGBgRg8eDAJFS2RcGFBVlYWtm/fjvPnz6NHjx5YuXIlZs2a9dQ+2ZYBM3Xq1FbNwNEkXFobLEKhEGFhYdi/fz+USiVCQkKwbNkynawJRXRuNE0jIyMDUVFRyM/Ph5ubG6ZMmfLMkKmpqcG6des0CpjWhotEIsH//vc/5OXl4eOPP35msFRVVTGhYmFhgcDAQHh7e5NQaSMSLizKzs5mQqZbt2549913MWfOnCeGjFKpxLlz53D//n1MmTLlubNvWhsuaWlpyMrKwpAhQ576mkKhEHv27EF4eDhomkZISAjefvttEipEm9E0jTt37iAyMhL5+flwdXVFcHAwPD09nxgytbW1+PzzzyESibBx48bnPivVmnARi8X43//+h/z8fHzyySdPvcGqqqrC1atXcffuXSZUBg8erPXD04Q6Ei46kJ2djR07diAqKgqOjo5YsWIF5s6d+9jDVUqlEufPn0d2dvZzA6Y14ZKamors7Gz4+Pg8sTVUXV2N3bt348CBA6AoCosWLcLSpUt1uv8G8WKiaRp3795FVFQUcnNz4eLiguDgYAwYMOCxkKmtrcX69evR2NiIjRs3PnOFh+eFi1gsxrfffouCgoKnBktlZSWuXr2KzMxMWFhYYMSIEfD29iahwjISLjr04MED7NixA2fPnoWDgwNWrFiB1157TS1kWgbMs6Z2Pi9cnhUs1dXV2LlzJw4ePAiBQIDFixcjNDRU57sGEgRN08jMzGQmsvTu3RtTpkx5LGRaGzDPCpeWwbJ27drHbtYqKipw7do1ZGZmwtLSEiNGjMCgQYNIqOgICZd2kJOTw4SMvb09li9fjtdee41ZJVUVMFlZWcyMm5Zomsbly5cxYcIExMTEPLZ1c0pKCu7fv/9YsFRVVWHnzp04dOgQBAIB3nrrLSxZsoSECtHuaJrGvXv3EBkZiZycHPTq1QvBwcHw8vJijuW6ujqsX78e9fX12Lhx42MLn9I0jaKiIty5cwcDBgxAz549mb8Vi8XYvHkzCgsLsXbtWrXzoKKiAlevXsW9e/dgaWmJoKAgeHl5kVDRMRIu7Sg3Nxc7duzAmTNnYGdnh3feeQevv/46jI2NoVQqER0djXv37jEBU1tbi/DwcPz444/IyclhXsfNzQ2rVq3CokWLkJeXh/v378PX15eZeVZZWcmEir6+PhMqVlZWHH1ygniEpmlkZWUhKioK9+/fR69evTB58mQMGjQIFEWhvr4e69evR11dHb788ks4OTk99zyYO3cudu/ejaKiIqxdu5Y5D8rLy3H16lVkZWXBysqKCRW2Ngkkno2ECwfy8vKYkLG1tcU777yDefPmwcjICNHR0Uyz/b333kNzczOARyeliupuzcjICB988AGWLFkCV1dXVFRU4JdffsHhw4dhaGiIJUuW4K233oKlpSUnn5MgnoamaWRnZyMqKgrZ2dlwcnLClClTMGjQIDQ0NOA///kPampq8Oqrr+Kdd9556nlA0zQMDAzwyiuv4KeffoKrqyvKyspw7do1ZGVlwdraGiNGjCChwgESLhwqKCjAjh07cOrUKdjY2GDZsmWYN28etmzZgvXr1wNQP5n+iaIoUBSFw4cP4969e/jtt99gZGTEhIqFhUV7fRSC0Fp2djYiIyOZkJk8eTJcXV2xePFinD59GsCzzwMAEAgETEs9Ozsb1tbWCAoKwsCBA0mocISECw8UFBTg559/RkREBCwsLJCRkQGZTNbqv6coCv3798c777yDxYsXw9zcXIelJQjduH//PqKionDv3j107doV33//PSQSSav+lqIo6Ovr47///S/GjRuHAQMGkFDhGKl9HujVqxc2b96MS5cuwcbGRqNgAR7d1b355ptYvXo1CRaiw3J3d8f777+Pjz76CHfv3m11sACPzgGZTAY9PT3SBcYTpOXCIzRNw93dXW3QsjUoioKrqyvu37//3HWdCILvyHnQOZBw4ZGqqqo2LRJZVVVFnrInOjxyHnQOpO3II42NjW36+4aGBpZKQhDcIedB50DChUfMzMza9PdkvIXoDMh50DmQcOERW1tbuLm5adxfTFEU3NzcyBphRKdAzoPOgYQLj1AUhVWrVmn1t6tXryaDmESnQM6DzoEM6PNMbW0tevbsCZFIBKVS+dzfFwgEMDExQVFREVneheg0yHnQ8ZGWC89YWVkhIiICFEU9d66+QCAARVE4efIkOaGIToWcBx0fCRceGj9+PM6dOwcTExNmiZeWVP9mYmKC8+fPY9y4cRyVlCB0h5wHHRsJF54aP348ioqKsHXrVri6uqr9zNXVFVu3bkVxcTE5oYhOjZwHHRcZc+kAaJqGUChEQ0MDzM3NYWNjQwYtiRcOOQ86FhIuBEEQBOtItxhBEATBOhIuBEEQBOtIuBAEQRCsI+FCEARBsI6EC0EQBME6Ei4EQRAE60i4EARBEKwj4UIQBEGwjoQLQRAEwToSLgRBEATrSLgQBEEQrCPhQhAEQbCOhAtBEATBOhIuBEEQBOv+H+AeZvJ7WOTcAAAAAElFTkSuQmCC\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "# train the model\n", - "model = KAN(width=[2,5,1], grid=5, k=3, seed=1)\n", - "model.fit(dataset, opt=\"LBFGS\", steps=20, lamb=0.00);\n", - "model.plot()" - ] - }, - { - "cell_type": "markdown", - "id": "d92f84a5", - "metadata": {}, - "source": [ - "$\\lambda=1$" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "id": "f1a96caf", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 1.36e+00 | test loss: 1.39e+00 | reg: 6.81e-01 : 100%|██| 20/20 [00:14<00:00, 1.42it/s]\n" - ] - }, - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "# train the model\n", - "model = KAN(width=[2,5,1], grid=5, k=3, seed=0)\n", - "model.fit(dataset, opt=\"LBFGS\", steps=20, lamb=1.0);\n", - "model.plot()" - ] - }, - { - "cell_type": "markdown", - "id": "650e7432", - "metadata": {}, - "source": [ - "### Parameter 2: (relative) penalty strength of entropy $\\lambda_{\\rm ent}$.\n", - "\n", - "The absolute magnitude is $\\lambda\\lambda_{\\rm ent}$. Previously we set $\\lambda=0.1$ and $\\lambda_{\\rm ent}=2.0$ (default). Below we fix $\\lambda=0.1$ and vary $\\lambda_{\\rm ent}$." - ] - }, - { - "cell_type": "markdown", - "id": "c0d92d91", - "metadata": {}, - "source": [ - "$\\lambda_{\\rm ent}=0.0$" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "id": "d57d3cee", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 1.45e-02 | test loss: 1.54e-02 | reg: 1.52e+00 : 100%|██| 20/20 [00:13<00:00, 1.50it/s]\n" - ] - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "# train the model\n", - "model = KAN(width=[2,5,1], grid=5, k=3, seed=1)\n", - "model.fit(dataset, opt=\"LBFGS\", steps=20, lamb=0.01, lamb_entropy=0.0);\n", - "model.plot()" - ] - }, - { - "cell_type": "markdown", - "id": "25d3f9f1", - "metadata": {}, - "source": [ - "$\\lambda_{\\rm ent}=10.$" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "id": "94450fdf", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 8.31e-02 | test loss: 8.47e-02 | reg: 1.28e+01 : 100%|██| 20/20 [00:15<00:00, 1.31it/s]\n" - ] - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "# train the model\n", - "model = KAN(width=[2,5,1], grid=5, k=3, seed=1)\n", - "model.fit(dataset, opt=\"LBFGS\", steps=20, lamb=0.01, lamb_entropy=10.0);\n", - "model.plot()" - ] - }, - { - "cell_type": "markdown", - "id": "c14919f1", - "metadata": {}, - "source": [ - "### Parameter 3: seed. \n", - "\n", - "Previously we use seed = 1. Below we vary seed." - ] - }, - { - "cell_type": "markdown", - "id": "c8debdf5", - "metadata": {}, - "source": [ - "${\\rm seed} = 42$" - ] - }, - { - "cell_type": "code", - "execution_count": 13, - "id": "8fe1c782", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 3.37e-02 | test loss: 3.31e-02 | reg: 3.30e+00 : 100%|██| 20/20 [00:13<00:00, 1.53it/s]\n" - ] - }, - { - "data": { - "image/png": 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juRARkexYLkREJDuWCxERyY7lQkREsmO5EBGR7FguREQkO5YLERHJjuVCRESyY7kQEZHsWC5ERCQ7lgsREcmO5UJERLJjuRARkexYLkREJDuWCxERyY7lQkREsmO5EBGR7FguREQkO5YLERHJjuVCRESyY7kQEZHsWC5ERCQ7lgsREcmO5UJERLJjuRARkexYLkREJDuWCxERyY7lQkREsnNXOkBdCCFw6dIl6PV6+Pj4QKvVQpIkpWOpGmdmG87NekIIlJaWAgBKS0shhODMasFZXmsOuXLR6XRISUlBSEgIAgICEBgYiICAAISEhCAlJQU6nU7piKrDmdmGc7Pe9TMbMmQIhBAYMmQIZ3YHTvdaEw4mMzNTeHt7C0mShCRJAoDl69r3vL29RWZmptJRVYMzsw3nZj3OzDbOODeHKpfMzEzh5uYmNBrNDcP/45dGoxFubm4O9Q9RXzgz23Bu1uPMbOOsc5OEEELu1VB90Ol0aNOmDYxGI8xm8x3vr9Fo4OXlhaKiIvj5+dV/QBXizGzDuVmPM7ONM8/NYY65bNq0CQaDoVb/AABgNpthMBiwefPmek6mXpyZbTg363FmtnHmuTnEykUIgZCQEBQUFMCauJIkISgoCKdOnXLIsy3qgjOzDedmPc7MNs4+N4col4sXLyIgIKBOj9dqtTImUj/OzDacm/U4M9s4+9wcYreYXq+v0+OvXr0qUxLHwZnZhnOzHmdmG2efm0OUi4+PT50e7+vrK1MSx8GZ2YZzsx5nZhtnn5tDlItWq0VwcLDV+xclSUJwcDD8/f3rKZl6cWa24dysx5nZxtnn5hDlIkkSIiMjbXpsVFSUqg961RfOzDacm/U4M9s4+9wc4oA+4Nzng9cXzsw2nJv1ODPbOPPcHGLlAgB+fn7YunUrJEmCRnP72BqNBpIk4ZNPPlH9P0B94sxsw7lZjzOzjVPPzd6XBKir2l6DJysrS+moqsGZ2YZzsx5nZhtnnJvDlYsQQpSWloqUlBQRHBx8wz9CcHCwSElJETqdTumIqsOZ2YZzsx5nZhtnm5tDlss1ZrNZbN++XQAQ27dvF2azWelIqseZ2YZzsx5nZhtnmZvDHHO5GUmSLPse/fz8VH/2hBpwZrbh3KzHmdnGWebm0OVCRETqxHIhIiLZsVyIiEh2LBciIpIdy4WIiGTHciEiItmxXIiISHYsFyIikh3LhYiIZMdyISIi2bFciIhIdiwXIiKSHcuFiIhkx3IhIiLZsVyIiEh2LBciIpKdw5aLXq/HyZMncfToUQDAhQsXUFVVpXAq9dPr9SgsLAQA5Obm4syZM5zbHVRXV+Ps2bPIzc0FAOTn5+Py5cswm80KJ1M3vtas50y/1yQhhFA6hDUKCgqwYcMGfP755zhz5gyqq6tRWVmJxo0b47777sPzzz+PJ554Ar6+vkpHVZXr51ZYWAij0QgPDw94e3ujW7dunNtN6HQ6bN26Fe+++y6OHTuGq1evoqqqCg0bNkRAQAD69++PMWPGoF+/fnB3d1c6rmrwtWY9Z/y95jDlYjKZsGXLFsTGxsJoNGL48OEYOnQo2rVrB7PZjLy8PGRkZCA7Oxs9evRAWloaunTponRsxXFuttm3bx+mTp2KnJwc9O7dGyNGjED37t3h4+MDnU6HQ4cO4YsvvkBeXh6efvppJCYmIiAgQOnYiuJrzXpOPTPhAEwmk1i1apXw9vYWw4cPFz/++KOoqakRe/fuFSkpKSIlJUXk5uaKqqoqsXPnTtGrVy9x9913i6NHjyodXVGcm22ysrJEy5YtRUhIiPj444+FwWAQOp1OrFmzRqSkpIiNGzcKo9Eorly5ItatWydatWolhg4dKi5cuKB0dMXwtWY9Z5+ZQ5RLdna28PPzE//4xz/E5cuXhdlsFkIIERcXJwAIAOLtt98WQghhNptFYWGhePDBB0VoaKgoLS1VMLmyODfrnThxQgQGBop77rlH/Pe//7XMLD8/XzRp0kQAEIGBgeLy5ctCiN/mtmvXLtGmTRsxevRoUVFRoWR8xfC1Zj1nn5nqD+gbjUYsWLAALVq0wMqVK+Hn5wdJkm55f0mS0LZtW6SlpeHkyZN455137JhWPTg365lMJixcuBClpaVIT09Hly5dbjsz4Le5hYaGIikpCZ999hkyMzPtlFY9+FqznivMTPXlcujQIezfvx8TJ05E69at77ixA7/9Q/z1r3/FU089hbfeegsGg8EOSdWFc7NeXl4evvjiCzzxxBMIDQ2t1cyA3+b2+OOP4/7778f69etRU1NTz0nVha8167nCzFR/isuOHTvg6emJIUOGIDc394YNt7i42PK/f/nlF+Tk5Fj+28/PD48//jjeeecdnD592nEOgsmEc7Pe3r17odfrMXLkSJw+fRrl5eWW24qKimAymQAAVVVVOHbsGBo3bmy5vVWrVnjiiSfw6quv4sKFC2jTpo3d8yuFrzXrucTMlN4vdyejR48WnTp1EidPnhTt2rUTDRs2tHy5u7tb9k02aNDghttefPFF8fPPP4tmzZqJjIwMpX8Mu+PcrDdz5kzh5+cncnNzxeDBg2+Yi6enp2VmkiTdcJuXl5dYvXq12L17t/D19RXff/+90j+KXfG1Zj1XmJmqVy5CCFRUVMDT0xNubm6oqKhARUXFTe9bXV2N6upqy39XVVXBw8PD8jhXwrnZxmg0wt3dHZ6enqisrLzlz39tvterqamBl5cXhBCorKy0R1xV4GvNeq4yM1WXiyRJaNasGQ4cOACTyYRBgwZBp9NZbj916hQKCgoAAN26dUOrVq0st3Xv3h06nQ6VlZXw9/e3d3RFcW62ad68OYxGI3Q6Hfr27Qtvb2/LbUajEXv37rWUyIMPPmh546QkSWjXrh1KSkqg0WjQtGlTpX4Eu6qursa+ffuQn58PnU7H11otucz2qeSyqTbWr18vvLy8xK5du0RNTc0NX7GxsZbl46ZNm264zWQyibfeekvcddddoqioSOkfw+44N+t9+eWXwsPDQ6xZs+ZPMzt58qTlVOQOHTqIixcv/mluMTExolOnTg5xmqitzpw5IzZs2CBGjhwp/Pz8hEajEb6+vqJhw4Z8rVnBFbZP1Z8t9vDDD8PX1xebNm2CEAJubm6WL43m/+NrNJobbquoqMDmzZsRGhqKu+66S8GfQBmcm/X69OmDoKAgbNq0CeXl5TfMxc3NzXI/SZJumJtGo8H58+fx8ccfY8SIEWjSpImCP4W8qqqqkJ2djZiYGNx7771o3749xo8fj+LiYkyfPh3ff/89Dh8+jMaNG/O1ZgVX2D5VXy4dOnTAqFGj8OGHHyIrKwuiFlerMZvNeOutt3DkyBFERkbe8IvBVXBu1tNqtZg0aRIOHz6M1NTUWp9SXFlZiYSEBBiNRowbN67WpzCrVWFhIdauXYu///3vCAgIwJAhQ/D222+jR48e2LJlC4qLi7F7927ExcWhV69eCAoKsvm19t1336FHjx43/EJ1BS6xfSq3aKq98+fPi969e4u2bduKb775RphMJiGEEPPmzRPu7u6iQYMG4p133hFms1lUV1eLt99+WzRr1kzExsaKmpoahdMrh3Oznl6vF0899ZTw8fERy5cvFwaDQZjNZpGfny+0Wq1wd3cXHTt2tLyjuqysTMycOVM0adJEvPnmm0rHt0lFRYX4+uuvxbRp00TXrl2FRqMRDRo0EAMGDBALFy4Uhw8ftrx2bsXW19oDDzwgunTpIiZMmCCKi4vt8eOqhrNvnw5RLkIIcezYMdGjRw/h7+8v5syZI/Ly8sTJkyfFjh07xI4dO0RhYaHIyckR48ePF02aNBERERGivLxc6diK49ysV1JSIp588knh5eUlHn/8cbFz505RUlIidu/eLXbu3Cn27dsnfv31V7Ft2zYxaNAg0bRpU5GWluYQG/w1+fn5YtWqVeLRRx8VPj4+QqPRiDZt2oiXX35ZfPzxxzYdN7L1tZadnS0GDhwo+vbtKz755BPLZVBcgTNvnw5zVWQAOHv2LBISEvDBBx/A3d0dXbp0Qdu2bWEymXD69GmcOHECWq0WMTExeO655+Dp6al0ZFXg3KxXXl6O9evXIzU1FcXFxQgKCkJISAh8fX1RWlqKEydO4Ny5c+jZsyfi4+MxYMAAVe/aMRqN2LVrFzIyMpCZmYlTp07B3d0d/fr1w/DhwxEWFoZu3brVeZeera+1K1euICkpCZ9++in69euH+fPnq/6Yglycdft0qHIBfrv+U25uLrZt24YDBw6gpKQEDRo0QGBgIAYNGoRhw4ahefPmSsdUHc7NNhcuXMD27duxc+dOFBQUoKKiAk2bNsU999yDYcOGoW/fvmjUqJHSMf9ECIG8vDxkZmYiIyMDO3fuREVFBdq2bYvw8HAMHz4cgwYNuuEqA3Kpy2tt9+7diI+PR3l5OaKjozFy5EiHP4ZVG864fTpcuVxPCAGTyQRJktR/cEtFODfbmEwmCCGg0WhUuUopLy/Hzp07LauTgoICeHh4IDQ0FMOHD0d4eDg6d+5s11/WtrzW9Ho9kpKS8Mknn+CBBx7A/Pnzb3ivh7Nzlu3TocuFyJUJIXD8+HFkZmYiMzMTu3fvRmVlJTp06GBZnQwcOBA+Pj5KR7XJnj17EB8fjytXrmDGjBn4xz/+ocpSp5tjuRA5EL1ej2+//dZSKIWFhfD09MSAAQMQHh6O8PBwdOrUyWl2Jen1eixfvhwfffQR+vTpg4SEBLRu3VrpWFQLLBciFRNC4NixY5Yy+e6771BdXY2OHTtaymTAgAGqPO4jp3379iE+Ph6lpaWYNm0ann76aa5iVI7lQqQyV65cwfbt25GRkYGsrCwUFRXBy8sLAwcOtBRKx44dlY5pd+Xl5Vi5ciXef/999OrVCwkJCWjbtq3SsegWWC5EChNCICcnx7I6uXaBzLvvvtty7CQ0NBReXl5KR1WFAwcOYO7cubh48SKmTp2KZ599lqsYFWK5EClAp9Phm2++saxOzp8/D29vbwwaNMjyvpPAwEClY6qWwWBASkoK3n33XfTo0QMJCQlo37690rHoOiwXIjswm8344YcfLKuT/fv3w2QyoUuXLpbVSb9+/RzmDXJqcfDgQcydOxclJSWIiorCc889x1WMSrBciOrJpUuX8PXXXyMzMxNfffUViouL4ePjg8GDB1tWJ+3atVM6psOrqKhASkoK3nnnHXTv3h2JiYlc9akAy4VIJmazGQcPHkRWVhYyMzNx4MABmM1mdO/eHWFhYRg+fDgeeOABeHh4KB3VKR05cgRxcXE4f/48IiMj8fzzz3MVoyCWC1Ed/Prrr/jqq68sq5OLFy+iSZMmGDJkCMLDwxEWFsb3ZdhRZWUl0tLSsHnzZnTt2hWJiYkIDg5WOpZLYrkQWcFkMuHAgQPIzMxEVlYWDh48CCEE7rvvPoSFhSE8PBz3338/GjRooHRUl/bjjz8iLi4ORUVFmDhxIl566SWHvpSKI2K5EN3BhQsX8NVXXyEjIwNff/01SktL0bRpUwwdOhTDhw/H0KFD0bJlS6Vj0h9UVlZi9erV2LhxIzp37ozExESEhIQoHctlsFyI/qCmpgb79++3nNl15MgRAECvXr0sb2Ls3bs33N3dFU5KtXH06FHExcWhsLAQEyZMwJgxY/hvZwcsFyL89pka11Yn33zzDcrKyqDVajFs2DDL6sTRLnlO/6+qqgqvv/463njjDdx9991ITEzE3XffrXQsp8ZyIZdUXV2NvXv3WlYnOTk5kCQJffr0saxOevbsyf30Tuann37CnDlzUFBQgHHjxuGVV17h8bF6wnIhl3HmzBlLmWzfvh1Xr15F8+bNb1idaLVapWNSPauursa6deuwbt06BAcH47XXXkPnzp2VjuV0WC7ktCorK7Fnzx7LJVaOHTsGjUaDBx54wHJm13333cf3Qrio3NxcxMXF4dSpU3jllVcwbtw4vgdJRiwXciqnT5+2rE6+/fZblJeXo2XLlpYyGTJkCJo2bap0TFKJ6upqbNiwAWvWrEFQUBASExPRtWtXpWM5BZYLObSKigrs3r3bsjo5fvw43Nzc0K9fP8ubGO+9916n+fAsqh8nT55EXFwcjh8/jjFjxmDChAlcxdQRy4UcTn5+PjIzM5GRkYEdO3bAaDSidevWlgtAPvzww2jSpInSMcnB1NTU4M0338Tq1avRvn17JCYmolu3bkrHclgsF1I9g8GAXbt2ISMjA5mZmcjLy0ODBg3Qr18/DB8+HOHh4ejatStXJySLU6dOIS4uDrm5uXjhhRcQERHBq1XbgOVCqiOEwMmTJ5GVlYWMjAzs2rULFRUVaNeunWV1MmjQIPj6+iodlZyUyWTCxo0bsWrVKrRu3RqvvfYa7r33XqVjORSWC6lCeXk5srOzLQfjf/75Z3h4eKB///6W1clf/vIXrk7IrvLz8zF37lwcPXoU//znPxEZGYmGDRsqHcshsFxIEUII5ObmWspk9+7dqKqqQmBgoGV1MnDgQHh7eysdlVyc2WzG5s2bkZqaipYtWyIhIQE9evRQOpbqsVzIbq5evYpvv/3WUii//PILGjZsiAEDBljeFR8SEsLVCanS6dOnERcXhx9//BGjRo3C5MmT4eXlpXQs1WK5UL0RQuC///2vpUz27NmD6upqhISEWMrkoYceQqNGjZSOSlQrZrMZ77zzDlJSUtC8eXMkJCSgV69eSsdSJZYLyaqsrAzbt2+3vO/k7Nmz8PLywqBBgywf7csPbyJHV1hYiLlz5+Lw4cN49tlnMWXKFP6R9AcsF6oTIQR+/PFHy+pk7969MJlM+Mtf/mI5dhIaGsqDoOR0zGYztmzZgpUrV0Kr1WLBggXo27ev0rFUg+VCdXLu3Dm0bdsW3t7eePjhhy2rkw4dOigdjcguzpw5Y1nFZGRk8GOtf8dyoZuy5mVx7b62HIjnwXtSK2u3gYqKCpsO8DvrNsCPY6ObWrBgAbp37/6n7wshYDAYZDlFuKSkBOPGjavz8xDVh9dff73WHyh2rVwkSbJqF/ClS5fw1FNP2RpR1VgudFPXLkd+Pb1ej7Fjx+LYsWMIDQ1FWlpanS5X/8wzz7BcSLWufaDYneTn5+PNN9/EiRMnoNFo0KdPH4wZM6ZWV9+eMWOG05YLP8iCbkqSJLi5uVm+NBoNBg4cCJPJhA0bNmDv3r0YO3bsDfex9otIzf64DfzxS6PRIDs7Gy+88AL8/PwQFxeHGTNmoLi4GM888wwKCwtdehvgyoVqJTExEZcvX8bBgwfh5uaGXbt2QavVYvHixWjRooXS8Yjs7tChQ5g5cyaSk5PRv39/y7GTvn37YuPGjRg9ejS+/PJL+Pn5KRtUIVy50B3V1NRg/vz52LVrl+WvLT8/P0RERCA8PFzhdET2ZzAYMH78eCxevPiGYgEAjUaDl156CeHh4XjuueesOjHAmbBc6I5iYmLQpUsXtG/f/obvr1ixAjk5OaiurlYoGZH9CSEwfvx4PPTQQxg6dOhNz/aSJAlxcXEoKyvDli1bFEipPJYL3ZYQAikpKcjIyPjTbe7u7ujUqRMSEhIUSEakjPz8fOTk5GDJkiW3PY1Yo9Fg48aNWLJkCWpqauyYUB1YLnRbe/bsgaenJ1q1anXT2z/99FMsXrzYZZf+5FqEEBgzZgxmzpyJBg0a3PH+QUFBCA4ORlJSkh3SqQvLhW7rySefREpKyi3/QuvUqRNMJhPKy8vtnIzI/oqKiqDT6fC///u/tbq/JElYv349tmzZArPZXM/p1IXlQrdkNptRUlKCl1566Zb3kSQJ/fr1Q1RUlB2TESlj7NixGD9+vFXvqtdqtdBqtfjoo4/qMZn6sFzolj744AP4+/vf8Y2S7733HjZv3mynVETKqK6uRlFREcaOHWv1Y1etWuVyu49ZLnRLEydOxBtvvHHH+7Vu3dpyWZjaEEJgx44ddUxHZF9paWno2LGjTW9+7NKlC0wmEy5fvlwPydSJ5UK31LhxYzz66KN3vJ8kSbjvvvsQGxtbq+f9z3/+g8cee6yu8YjsRgiBTZs2ITU11abHS5KERx55BDNmzJA5mXqxXOiWDh06VOtrh23ZsgWrV6+u1X1feuklTJ48uS7RiOxKr9fDbDajTZs2Nj/HvHnzcPDgQZfZNcZyoVtq1qxZre/bsWNHmEwmVFVV3fZ+Qgjk5ubWepVDpAaJiYno27dvnS6P36hRI2g0Gpw7d07GZOrFciFZSJKETp06YdGiRbe937V9zvxkSnIkGRkZWLhwYZ2f5+9//ztmzpwpQyL1Y7mQbD744IM7lsuYMWPw6KOPOu0HJJHzqa6uhhACAQEBdX6u6Oho5OTkuMSuMV4VmWTTrVs3VFdXw2AwoFGjRn+6XQiBL774AiUlJQqkI7LNe++9h1atWsnyB9G17cJoNN50G3EmXLmQbCRJwoMPPohJkybd9PaffvoJ7u7u8Pf3t3MyItulp6djwYIFsjzXtd3HtT35xZGxXEhWH330ETZv3nzTZf+jjz6KhIQE7hIjh3Ht44v79Okj23MmJCTgvffek+351IrlQrJq0aIFvL298dlnn93w/fPnz+OXX35xqfP8yfFdunQJkiTJ+gdR586dLcdxnBnLhWQlSRK2bt2KUaNGwWQyAfjtr7+HH34Y06dPr/X7ZojUYOnSpbKuWoDfthFXOCWZWzrJbvDgwQgODsbLL7+MkpISxMbG4sqVK1i8eLHS0YiskpWVhTlz5sj+vAMHDpTl1GY1Y7mQ7CRJwq5du5Cbm4uHHnoImZmZ2L9/P1ct5HCaNGmCDh06yP68s2bNwpEjR2R/XjXhqch0Ux4eHti2bVudniM6OhqFhYVo27YtcnJykJOTc8Ptf/zYZCI1adCgAaKiorB79+56ef6IiAin3jUmCWc/qkQ2MRqNtb6vEMKmA55ubm7w8PCw+nFE9lBRUWH1/a298oSbm1utPtHSEbFcqE7MZrOlXLjbi1yREAIlJSW4cuUKOnTo4LRlYS3+NiCbvfXWW/Dw8EBERITSUYgUYTabMW/ePAwZMgTHjx9nsVyH5UI22bhxI15++WWMHTsWq1ev5qqFXI7ZbEZ8fDw+++wzLFq0CH/729+UjqQq/I1AVnvjjTfw8ssvY9y4cVi1ahWLhVzOtRXLtWKpzYfquRr+ViCrrF+/HmPHjsXEiRORnp7OS7mQyzGbzYiLi8Pnn3+OxYsXY8SIEUpHUiWWC9XaunXrMH78eEyaNAmpqaksFnI5ZrMZc+bMwb///W8kJSXhkUceUTqSarFcqFbWrl2LCRMmIDIyEsnJySwWcjlmsxmxsbHYtm0bli5divDwcKUjqRrLhe7o9ddfx8SJExEVFYWVK1eyWMjlmEwmzJ49G19++SWWLl2KsLAwpSOpHt+hT7e1evVqREZGYsqUKVi2bBmLhVyOyWTCrFmz8NVXX2H58uUYOnSo0pEcAlcudEvp6emIjIzEtGnTWCzkkkwmE2JiYlgsNmC50E2lpqZi8uTJmD59OpKSklgs5HJqamowc+ZMfP3111ixYgWGDBmidCSHwnKhP0lJScHUqVMRHR2NJUuWsFjI5Vwrlu3bt2PlypUYPHiw0pEcDsuFbpCcnIxp06YhJiYGixYtYrGQy6mpqUF0dDS+/fZbrFy5Eg8//LDSkRwSy4UsVqxYgenTp2PWrFl47bXXWCzkcqqrqzF9+nRkZ2cjOTkZgwYNUjqSw2K5EABg2bJliI6ORmxsLBITE1ks5HKqq6sxY8YM7Nq1CykpKRg4cKDSkRway4WwdOlSxMTEIC4uDgsWLGCxkMu5tmK5ViwDBgxQOpLD4/tcXNySJUsQGxuLuXPnIj4+nsVCLqeqqgrTpk3D3r17kZqaiv79+ysdySmwXFzYokWLEBcXh/j4eMybN0/pOER2V1VVhalTp2Lfvn1ITU1FaGio0pGcBsvFRS1cuBBz587Fq6++irlz5yodh8juqqqqMGXKFOzfvx9paWno16+f0pGcCo+5uKDExETMnTsX8+fPZ7GQS6qsrMSUKVPw/fffIz09ncVSD7hycTELFizA/PnzkZCQgNjYWKXjENldZWUlJk+ejP/85z9IT0/HAw88oHQkp8RycSHz58/HggUL8Nprr2HWrFlKxyGyu8rKSkRFReHgwYNYtWoV7r//fqUjOS2WiwsQQlhWKwsXLkRMTIzSkYjsrrKyEpGRkTh06BBWr16Nvn37Kh3JqbFcnJwQAvHx8XjttdewePFiREdHKx2JyO4qKysxadIkHDlyBGvWrEHv3r2VjuT0WC5OTAiBefPmYeHChUhKSsL06dOVjkRkdxUVFYiMjLQUS69evZSO5BJYLk5KCIG4uDgsXrwYS5cuxbRp05SORGR3FRUViIiIQE5ODovFzlguTkgIgdjYWCQlJWH58uWYMmWK0pGI7M5oNCIiIgJHjx7FmjVr0LNnT6UjuRSWi5MRQmD27NlYunQpVqxYgcmTJysdicjujEYjJk6ciGPHjmHt2rXo0aOH0pFcDsvFiQghEBMTg+XLlyM5ORmRkZFKRyKyO4PBgIkTJ+Knn37C2rVrcd999ykdySWxXJyEEALR0dFYuXIlUlNTERERoXQkIrszGAyYMGECjh8/jnXr1uGvf/2r0pFcFsvFCQghMGPGDCQnJyMtLQ0TJ05UOhKR3ZWXl2PChAk4ceIE1q1bh3vvvVfpSC6N5eIAhBC4dOkS9Ho9fHx8oNVqLZfGF0Jg2rRpSE1NRXp6OiZMmKBwWqL6cbvtoLy8HOPHj8epU6dYLCrBC1eqmE6nQ0pKCkJCQhAQEIDAwEAEBAQgJCQEKSkpKC0txdSpU5GamorVq1ezWMgp3Wk7KCoqwrhx43Dq1CmsX7+exaISkhBCKB2C/iwrKwsjR46EwWAA8NtfbddIkgQhBNzd3WE2m7FmzRq88sorSkUlqje12Q7c3NwQEhKCjz76CPfcc49SUekPuHJRoaysLIwYMQJGoxFCCPyx/6/9d01NDYQQaNeunRIxiepVbbcDk8mEkydP4uzZs0rEpFvgykVldDod2rRpA6PRCLPZfMf7azQaeHl5oaioCH5+fvUfkMgOuB04Pq5cVGbTpk0wGAy12qAAwGw2w2AwYPPmzfWcjMh+uB04Pq5cVEQIgZCQEBQUFPxpF8DtSJKEoKAgnDp1ynL2DJGj4nbgHFguKnLx4kUEBATU6fFarVbGRET2x+3AOXC3mIro9fo6Pf7q1asyJSFSDrcD58ByUREfH586Pd7X11emJETK4XbgHFguKqLVahEcHGz1/mJJkhAcHAx/f/96SkZkP9wOnAPLRUUkSbL5SsZRUVE8iElOgduBc+ABfZXh+f1E3A6cAVcuKuPn54etW7dCkiRoNLf/59FoNJAkCZ988gk3KHIq3A4cH8tFhcLCwrBt2zZ4eXlBkqQ/LfOvfc/Lywtffvklhg0bplBSovrD7cCxsVxUKiwsDEVFRUhOTkZQUNANtwUFBSE5ORlnz57lBkVOjduB4+IxFwcghMDly5dx9epV+Pr6wt/fnwctyeVwO3AsLBciIpIdd4sREZHsWC5ERCQ7lgsREcmO5UJERLJjuRARkexYLkREJDuWCxERyY7lQkREsmO5EBGR7FguREQkO5YLERHJjuVCRESyY7kQEZHsWC5ERCS7/wMTiveWEDctswAAAABJRU5ErkJggg==\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model = KAN(width=[2,5,1], grid=3, k=3, seed=42)\n", - "model.fit(dataset, opt=\"LBFGS\", steps=20, lamb=0.01);\n", - "model.plot()" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "1692e33b", - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.7" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/tutorials/API_7_pruning.ipynb b/tutorials/API_7_pruning.ipynb deleted file mode 100644 index 282d48dd..00000000 --- a/tutorials/API_7_pruning.ipynb +++ /dev/null @@ -1,277 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "134e7f9d", - "metadata": {}, - "source": [ - "# Demo 7: Pruning\n", - "\n", - "We usually use pruning to make neural networks sparser hence more efficient and more interpretable. KANs provide two ways of pruning: automatic pruning, and manual pruning." - ] - }, - { - "cell_type": "markdown", - "id": "7fd6a742", - "metadata": {}, - "source": [ - "## Pruning nodes" - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "id": "2075ef56", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 3.57e-02 | test loss: 3.54e-02 | reg: 4.32e+00 : 100%|██| 20/20 [00:10<00:00, 1.83it/s]\n" - ] - }, - { - "data": { - "image/png": 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o82seEBHZI5sauQBASEgIMjIyMH36dGRlZXEEQ0SkQTYXLgDwhz/8AW+88QYmTZqEL774ggFDRKQxNhkukiRhzpw5SE9Px9SpU5GRkcGAISLSEJs65nI1SZIwa9YsdOzYEffffz+Ki4uxcOFCuLi4qF0aEZHDs8mRSzNJknDnnXdi586d+OCDDzB58mQUFhZyFENEpDKbDhfgl4CJjY3F3r17ERAQgDFjxuB//ud/cPjwYTQ2NjJoiIhUYPPh0szPzw+rVq3C+vXrUVFRgcmTJ+P222/Hv//9b+Tn50Ov1zNoiIisxGaPuVyPTqfD8OHDERcXh5KSEnz55ZfYtm0b3njjDXTv3h2jRo1CXFwcQkJC1C6ViMiuaTZc2jLKkCQJwcHBCA4OxoMPPoiysjLs3bsXu3btwksvvYTq6mrExMQoVywREZnRZLh06dIFmzZtUnSbnp6euPPOOzF27FhUVlaipqZG0e0TEdH/JwkNHogwGAzt/hySJMHJyandn4eIyBFpMlwscXX5vM4YEZE22PzZYocOHYKTkxMOHTqkdilERIqx8ff9th8uRESkPQwXIiJSHMOFiIgUx3AhIiLFMVyIiEhxDBciIlIcw4WIiBTHcCEiIsUxXIiISHEMFyIiUhzDhYiIFMdwISIixTFciIhIcQwXIiJSHMOFiIgUx3AhIiLFMVyIiEhxDBciIlIcw4WIiBTHcCEiIsUxXIiISHEMFyIiUhzDhYiIFMdwISIixTFciIhIcQwXIiJSHMOFiIgUx3AhIiLFMVyIiEhxzmoX0BZCCFRVVQEAqqqqIISAJEkqV6VtQghcvHgRtbW18PLygp+fH3vWAuyb5diz1mnu2+XLl+Ht7W2zfbPJkUt1dTXS0tIQGhqKsWPHQgiBsWPHIjQ0FGlpaaiurla7RM25umf+/v4IDAyEv78/e3YT7Jvl2LPWubZvQUFBtt03YWMyMzOFp6enkCRJSJIkAJi+mr/n6ekpMjMz1S5VM9iz1mHfLMeetY499s2mwiUzM1M4OTkJnU5n1vxrv3Q6nXBycrKpX0R7Yc9ah32zHHvWOvbaN0kIIZQeDbWH6upq9OzZE3q9HrIs3/T+Op0O7u7uKCsrg6+vb/sXqEHsWeuwb5Zjz1rHnvtmM8dc1q5di7q6uhb9AgBAlmXU1dVh3bp17VyZdrFnrcO+WY49ax177ptNjFyEEAgNDUVJSQksKVeSJAQFBeHUqVM2ebZFW7BnrcO+WY49ax1775tNhMuFCxfg7+/fpsf7+fkpWJH2sWetw75Zjj1rHXvvm01Mi9XW1rbp8ZcvX1aoEtvBnrUO+2Y59qx17L1vNhEuXl5ebXq8t7e3QpXYDvasddg3y7FnrWPvfbOJcPHz80NwcLDF84uSJCE4OBidO3dup8q0iz1rHfbNcuxZ69h732wiXCRJwuOPP96qxz7xxBOaPujVXtiz1mHfLMeetY69980mDugD9n0+eHthz1qHfbMce9Y69tw3mxi5AICvry82bNgASZKg0924bJ1OB0mSsHHjRs3/AtoTe9Y67Jvl2LPWseu+WfuSAG3V0mvw7NixQ+1SNYM9ax32zXLsWevYY99sLlyEEKKqqkqkpaWJ4OBgs19CcHCwSEtLE9XV1WqXqDnsWeuwb5Zjz1rH3vpmk+HSTJZlsXPnTgFA7Ny5U8iyrHZJmseetQ77Zjn2rHXspW82c8zleiRJMs09+vr6av7sCS1gz1qHfbMce9Y69tI3mw4XIiLSJoYLEREpjuFCRESKY7gQEZHiGC5ERKQ4hgsRESmO4UJERIpjuBARkeIYLkREpDiGCxERKY7hQkREimO4EBGR4hguRESkOIYLEREpjuFCRESKY7gQEZHibDZcamtrcfLkSRw5cgQAUFFRgcbGRpWr0r7a2lqcOXMGAFBYWIgff/yRfbuJpqYmnD17FoWFhQCA06dPo7KyErIsq1yZtvG1Zjl7+rsmCSGE2kVYoqSkBGvWrMFnn32GH3/8EU1NTWhoaICPjw8GDhyI2bNnY8qUKfD29la7VE25um9nzpyBXq+Hq6srPD09ERkZyb5dR3V1NTZs2IAPPvgAx44dw+XLl9HY2IgOHTrA398fI0eOxLx58zBixAg4OzurXa5m8LVmOXv8u2Yz4WI0GvHhhx9i0aJF0Ov1mDBhAsaNG4fevXtDlmUUFxfj888/x9dff43Y2Fi8/vrrGDBggNplq459a519+/bhySefREFBAYYMGYKJEyciKioKXl5eqK6uRl5eHrZs2YLi4mLcfffdeOGFF+Dv76922aria81ydt0zYQOMRqN44403hKenp5gwYYLIz88XBoNB5ObmirS0NJGWliYKCwtFY2OjyM7OFoMHDxZhYWHiyJEjapeuKvatdXbs2CFuueUWERoaKtavXy/q6upEdXW1WLlypUhLSxPvvPOO0Ov14tKlS+LNN98UAQEBYty4caKiokLt0lXD15rl7L1nNhEuX3/9tfD19RVTp04VlZWVQpZlIYQQzz77rAAgAIj33ntPCCGELMvizJkzYvjw4SI+Pl5UVVWpWLm62DfLFRUVicDAQBERESGOHj1q6tnp06dFx44dBQARGBgoKisrhRC/9C0nJ0f07NlT3HvvvaK+vl7N8lXD15rl7L1nmj+gr9frkZKSgm7duuG1116Dr68vJEn6zftLkoRevXrh9ddfx8mTJ/H+++9bsVrtYN8sZzQa8dJLL6Gqqgr/+c9/MGDAgBv2DPilb/Hx8XjllVewefNmZGZmWqla7eBrzXKO0DPNh0teXh7279+PRx55BD169Ljpzg788ouIiYnB9OnT8e6776Kurs4KlWoL+2a54uJibNmyBVOmTEF8fHyLegb80rfJkycjLi4Oq1evhsFgaOdKtYWvNcs5Qs80f4pLVlYW3NzcMHbsWBQWFprtuOfOnTP9+4cffkBBQYHp/76+vpg8eTLef/99lJaW2s5BMIWwb5bLzc1FbW0t7rrrLpSWluLKlSum28rKymA0GgEAjY2NOHbsGHx8fEy3BwQEYMqUKVi6dCkqKirQs2dPq9evFr7WLOcQPVN7Xu5m7r33XtGvXz9x8uRJ0bt3b9GhQwfTl7Ozs2lu0sXFxey2uXPniu+//1506dJFfP7552r/GFbHvlnu6aefFr6+vqKwsFCMGTPGrC9ubm6mnkmSZHabu7u7WLFihdi9e7fw9vYWBw4cUPtHsSq+1iznCD3T9MhFCIH6+nq4ubnByckJ9fX1qK+vv+59m5qa0NTUZPp/Y2MjXF1dTY9zJOxb6+j1ejg7O8PNzQ0NDQ2/+fM39/dqBoMB7u7uEEKgoaHBGuVqAl9rlnOUnmk6XCRJQpcuXXDw4EEYjUaMHj0a1dXVpttPnTqFkpISAEBkZCQCAgJMt0VFRaG6uhq1tbV44403UFRUhOjoaERFReGWW25p8Xy6LVKibw0NDejcubO1S1dV165dodfrUV1djWHDhsHT09N0m16vR25urilEhg8fbvrgpCRJ6N27N86fPw+dTodOnTqp9SNYHV9rlnOYnqk5bGqJ1atXC3d3d5GTkyMMBoPZ16JFi0zDx7Vr15rdZjQaxbvvvit8fX3FI488Im6//XYREREhIiIixOjRo8Wf//xn8fbbb4u8vDy7PH20rX3r3r27KCsrU/vHsKrt27cLV1dXsXLlyl/17OTJk6ZTkfv27SsuXLjwq74tWLBA9OvXzyZOE1USX2uWc4SeaXrkAgC33XYbvL29sXbtWtx6661ml9nQ6XRm/3ZycjL9v66uDuvWrcPYsWOxfPlyODk5obKyEvn5+SgoKEB+fj5WrFiB+vp6ODk5ISwsDNHR0YiJiUFUVFSLz+DQqrb2LT4+Ht27d7dqzWobOnQogoKCsHbtWtxzzz1mB+yv7pEkSWZ9E0KgvLwc69evx6RJk9CxY0er164mvtYs5wg903y49O3bF7NmzcKaNWvwxz/+EXfcccdN/+jLsox3330Xhw4dwqZNm0y/nM6dO2P06NEYPXo0gF8+13Dq1ClT2OTm5uLDDz803Tc6Oto0lRYREQF3d/f2/WEVpGTfHIWfnx8ee+wxPPXUU1i+fDkWLlzYomuGNTQ0IDU1FXq9HvPnz7fpNyWtwdea5RyiZ2oPnVrip59+EkOGDBG9evUSX331lTAajUIIIZYsWSKcnZ2Fi4uLeP/994Usy6KpqUm89957okuXLmLRokXCYDBY9FxVVVUiOztbvP7662LevHli2LBhIiIiQkRFRYmpU6eK1NRUsXnzZlFaWmr6RK1WWbNv9qK2tlZMnz5deHl5iVdffVXU1dUJWZbF6dOnhZ+fn3B2dhYhISGmT1TX1NSIp59+WnTs2FG8/fbbapevGr7WLGfvPbOZC1ceP34c9913H0pLS5GcnIy5c+dClmWUl5cDAAIDA1FTU4MVK1bgww8/xL333otXXnkFHh4ebXpeWZZx+vRp5Ofnm6bUmg+2+fr6IioqClFRUYiJiUF4eDi8vLza/LMqSa2+2bKff/4Zjz76KLZu3YqkpCQ8+eST6N+/P4qKiiDLMlxdXRESEoKDBw/iX//6Fw4fPoyUlBQkJydr/91kO+JrzXL23DObCRfglw+yDRw4ENXV1fD19cWAAQPQq1cvGI1GlJaWoqioCH5+fliwYAHuu+8+uLm5tUsdly5dwpEjR8yO39TW1kKSJISEhJhNp/Xt29dsDlUNZ8+eRWpqKj766CM4Ozur1jdbcuXKFaxevRrLly/HuXPnEBQUhNDQUHh7e6OqqgpFRUUoLy/HoEGD8NxzzyEhIUH137MW8LVmOXvtmU2Fy2effYbJkyfjrbfewvnz53Hw4EGcP38eLi4uCAwMxOjRozF+/Hh07drVqnXJsozS0lJT2Bw+fBinT5+GEALe3t6moImOjkZkZKQqazIYjUYUFhZi27ZtmumbLaioqMDOnTuRnZ2NkpIS1NfXo1OnToiIiMD48eMxbNgwm3gXaU18rVnOHntmM+EihMDgwYPRsWNH7Nq1y/Q9o9EISZI0Nx1RW1uLo0ePmk2n1dTUAACCg4NNYRMdHY2goCCrvuvVct+0zGg0QggBnU7HUUoL8bVmOXvpmc2Ey6ZNm3DXXXdh165dSEhIULsciwkh8MMPP+Dw4cOmqbRTp05BlmV4eXkhIiLCbDrN0U5nJSL7YhPhIssyBg0ahM6dO2Pnzp1ql6OYuro6HD161BQ2+fn5qKqqAgD06dPH9Jmb6OhohISE2PS7GCJyLDYRLhs3bsS0adOQlZWFkSNHql1OuxFCoKyszCxsTpw4AVmW4e7ujsjISLPpNEe6zAgR2RbNh4ssy4iNjYW/vz++/PJLtcuxuvr6ehw/ftxsOu3ChQsAgF69epmm0WJiYhAaGtqiD/0REbU3zYfLhg0bMH36dOTk5GDEiBFql6M6IQR++uknsxMFmteDcHNz+9Wxmy5duqhdMhE5IE2HiyzLGDhwILp3744dO3aoXY5mNTQ0oLCw0OxU6PPnzwP4ZRGrq8Pmd7/7HVxcXFSumIjsnabD5ZNPPsGMGTOwe/duDB8+XO1ybMq5c+dMo5v8/HwcP34cTU1NcHV1xYABA8ym02zt/Hki0j7NhovRaERMTAx69OiBzMxMtcuxeY2NjThx4oTpuE1BQYHpEhPdunUzjW6io6PRv39/uLq6qlwxEdkyzYbLRx99hJkzZ2Lv3r2Ii4tTuxy7dP78edNlbPLz83Hs2DE0NDTAxcUF/fv3N7uyQPfu3R3uar9E1HqaDBej0Yjo6Gj07t0b27dvV7sch2EwGFBUVGQ6blNQUICysjIAgL+/v1nYhIeH28w1jojI+jQZLhkZGZg1axb27duHoUOHql2OQ7t48aLZVNqRI0dMC6z97ne/Mx23sYcF1ohIOZoLF6PRiKioKAQGBmLr1q1ql0PXaF5g7eorQp85cwaA7S+wRkTK0Vy4/N///R/uu+8+7N+/H0OGDFG7HGqBqqoqHDlyxDSdduTIEdTV1UGn0yEsLMw0lRYVFYXevXtzdEPkADQVLgaDAZGRkQgJCcGWLVvULodaqSULrDWPcCIiIuDp6alyxUSkNE2Fy/vvv4/Zs2fjwIEDGDx4sNrlkIIuXbqEgoICs+M311tgLTo6Gn369OEl7YlsnGbCxWAwICIiAmFhYdi8ebPa5VA7k2UZ33//vdlFOpsXWPPx8TEtH63mAmtE1HqaCZf33nsPc+bMwTfffIPY2Fi1yyEV/NYCa5IkISgoyOxUaGsvsEZEltFEuBgMBoSHh2PAgAH49NNP1S6HNOLqBdaaw+bqBdaalyCIiYlBZGQkF1gj0hBNhMvatWvxwAMP4Ntvv8XAgQPVLoc07MqVKzh27JjZqdDNC6z17dvX7FTo0NBQjm6IVKJ6uDQ1NWHAgAGIjIzExo0b1SyFbFDzAmtXXxG6qKgIsizDw8PDtARB83QaF1gjsg7Vw+Wdd97Bgw8+iO+++w7R0dFqlkJ2or6+3jS6af66ePEigF8vsNavXz8uH03UDlQNl6amJvTv3x8xMTFYv369WmWQnbvRAmsdOnRAeHg4F1gjUpiq4fL222/joYcewqFDhxAVFaVWGeSAGhoacPz4cbNToa9eYK35emnR0dEICwvjAmtEFlItXBobG9G/f38MGjQIH3/8sRolEJmpqKgwC5vmBdbc3NwwYMAAsysLcIE1ohtTLVzWrFmD+fPn4/Dhw4iMjFSjBKIbal5g7eoz03766ScAQPfu3c3ChgusEZlTJVwaGxsRFhaGoUOH4qOPPrL20xO12vnz580uY3O9Bdaaj91wgTVyZKqEy+rVq5GcnIz8/HyEh4db++mJFHPtAmv5+fk4e/YsAKBr165mV4TmAmvkSKweLs2jlri4OHz44YfWfGoiq7h6gbX8/HwcPXrUbIG1qy/S2aNHD7XLJWoXVg+XDz74ALNnz0ZBQQEGDBhgzacmUoXRaMTJkyfNrgh95swZBAUF8SKtZLcUCRdLNtF839bMRXP+mrTMkv3AaDTCYDC0apqM+wHZAmclNpKSknLdT9cbDAY0NDQoshjUuXPnMH/+/DZvh6i9pKenIywsrEX3FUJAr9fDxcXFos/QXLx4EdOnT29tiURWo0i4nDhxAs8++6zZ9w4ePIiFCxeiqqoKkydPxpIlS9r0jmvGjBkMF9K077//vkWv0eLiYqxcuRKlpaXw8PDAhAkTMG3aNDg733x3/Otf/8pwIZugSLhIkmR2fabS0lKMHz8eKSkpGDhwIB588EHU1NRg2bJlHNKT3bp2P7ievLw8PPbYY7j77rsxZ84cVFRUYPXq1cjKysLrr78Od3d3K1VL1L4Uvx65EAIjR47EwoUL8Ze//AWJiYnIzc1Feno6Tp8+rfTTEdmMyspKzJ8/H4sXL8af//xnREdHIykpCevWrYObmxvmzZsHWZbVLpNIEYqHS2ZmJmpqarBo0SLTKKVr16544YUXMGbMGIsOehLZCyEEZs+ejalTp2LChAlmI3gPDw8sW7YMer0eKSkp3EfILigaLkIIzJgxAxkZGb+a/vrrX/+Ks2fPmhZ2InIk27Ztw8WLF/H0009fd2rYxcUF7777LjZt2oTi4mIVKiRSlqLhUlVVhStXrmDChAm/fiKdDtOmTcOMGTOUfEoizZNlGYsXL8aqVatuuDJmx44dsXDhQsybN4+jF7J5iobLnDlzMGnSpN88aL969Wrs2rWLOw45lFWrVqFbt26IiIi46X3vvvtuNDQ0IDs72wqVEbUfRc4WA36ZEtu+fTt+/vnn37yPl5cXnJ2dUVhYyE/nk0OQZRkrV67Etm3bWnSmpCRJeO211/CXv/wFBw4c4NmVZLMUG7nU1dUBAHx9fW94vyeffBL33HOPUk9LpGnr1q1D165dLbqG2K233gqDwYDCwsJ2rIyofSkWLqmpqYiIiLjpO62lS5fi2LFjnBojuyeEQFpaGt58802LRiCSJGHBggV49NFH27E6ovalWLgsX74cq1evvun93NzcoNPpUFZW1qLtCiGwb9++tpZHZHX79++Hi4sL+vbta/Fjp02bhosXL6KhoUH5woisQLFw8fDwwODBg1t035kzZ2L27Nktum9OTg7uvPPOtpRGpIqnnnoKL774YquOm+h0OoSHh+Of//xnO1RG1P4UC5e8vLwW70RpaWnIyclp0dTYfffdh9TU1LaWR2RVer0etbW1GDt2bKu3sWzZMnzyySecQiabpFi49OnTp8X39fHxAQBcunTphvcTQqC8vJwXrCSb87//+7+Iiopq09leXbt2BQB+8JhskuKXf2kJSZKQmJiIxx577Ib3y87Ohru7+00vBkikJUIIbNq0Ca+++mqbtiNJEsaMGYNFixYpVBmR9agSLsAvp2hmZGTccMg/a9Ys/Pvf/7ZiVURtV19fDyGEaeTRFkuXLkVubi6nxsjmqBYut9xyC4QQvznkl2UZ586dwwMPPGDlyojaZsWKFQgNDVXkA5De3t4AgNra2jZvi8iaVAsXSZIwZcoUzJw587q3v/HGGwgICOCUGNmcDz74AC+99JIi25IkCbGxsXj55ZcV2R6RtagWLgDw1ltv4auvvvrVGhZCCDz99NP49NNPVaqMqHWEEDAYDOjXr59i23zxxRexdetWxbZHZA2qhou3tzcCAgKQlpZm9v3vvvsOQgjExsaqVBlR6/z000/Q6XSKXhMsICAAsixzITGyKaqGCwB88cUXWLBgAfR6PYBf3vlNmDAB6enpvGgf2Zx//vOfGDFihKLblCQJ3t7e2Llzp6LbJWpPqodLWFgYkpKSMHHiRFRUVGDx4sXo0KED5syZo3ZpRBbLysrC3/72N8W3+9RTTyl2HIfIGhS75H5rSZKEDRs24A9/+AMSEhLg4uKC3NxcjlrIJrm4uFj0geKWmjRpEn744QecOXNG8W0TtQdFwsXV1RXbt29v0zaSk5Nx+vRpBAQEoKCgAAUFBWa3t+bif0TW5OLiguTkZOzevbtdth8bGwuDwdAu2yZSmiQU+HRW8/GSlhJCWDwycXJygqurq0WPIbKm+vr6Ft+3qakJkiTB2dmy93dOTk5wcXGxtDQiq1MkXCzRfNaLJEmKn1VDZCsqKipw6dIldOzYEZ07d2ZgkN1R5YD+p59+ioEDB8LZ2RlJSUnYu3evGmUQqcbHxwd79uzBtGnTMHToUDz//PMoLy9XuywixVh95NJMlmVs3LgRqampOHr0KMaMGYMlS5YgPj5ejXKIVFFXV4ePPvoI77zzDi5duoTJkyfjoYcesmhZZCItUi1cmsmyjE2bNiE1NRUFBQUYPXo0lixZglGjRqlZFpFV6fV6fPzxx3j77bdRU1ODSZMm4U9/+hN69uypdmlEraJ6uDSTZRmfffYZUlJSkJ+fj4SEBDz33HNISEhQuzQiq6mvrzeFTFVVFX7/+9/jT3/6E3r37q12aUQW0Uy4NJNlGVu2bEFqaioOHTqEhIQELFmyBAkJCTz4Tw6jvr4en3zyCd5++21UVlbi97//PR566KF2+QwNUXvQXLg0E0Jg69atSElJwXfffYeRI0fiueeeQ2JiIkOGHEZDQwPWr1+Pt956CxcvXsTEiRMxf/58hgxpnmbDpZkQAtu3b8fzzz+PvLw8xMfHY8mSJbjtttsYMuQwGhoasHHjRqxZswYXLlzAhAkTMH/+fAQGBqpdGtF1aT5cmgkh8PnnnyMlJQXffPMNhg8fjiVLlmDs2LEMGXIYzSHz1ltv4fz586aQCQoKUrs0IjM2Ey7NhBDYsWMHUlJScODAAcTFxeG5557DuHHjGDLkMBobG/Hpp59izZo1OHfuHG6//XbMnz8fwcHBapdGBMAGw6WZEAJffvklnn/+eezfvx/Dhg3DkiVLkJSUxJAhh9HY2IjNmzdj9erVqKioQFJSEubPn4+QkBC1SyMHZ7Ph0kwIga+++gopKSnIzc3F0KFDsXjxYkyYMIEhQw6jqanJFDI//fQTxo0bh4cffhihoaFql0YOyubDpZkQArt27UJKSgr27NmDwYMHY8mSJbjjjjsYMuQwmpqa8Nlnn+HNN99EeXm5KWSUXHaZqCXsJlyaCSGQlZWF559/Hrt378agQYOwePFi3HnnnQwZchgGgwFbtmzBqlWrcPbsWYwdOxYPP/wwwsLC1C6NHITdhUszIQSys7ORkpKC7OxsDBw4EIsXL8akSZMYMuQwDAYDtm7dijfffBM//vgjbrvtNjz88MPo37+/2qWRnbPbcLlac8hkZWUhOjoaS5YswaRJk6DTqb7KM5FVGI1GU8j88MMPGD16NJKTkxky1G4cIlya5eTkICUlBV9//TWioqKwePFiTJ48mSFDDsNoNGL79u1YtWoVzpw5g8TERCQnJ2PAgAFql0Z2xqHCpdmePXuQkpKCnTt3IjIyEs8++yymTJnCkCGHYTQa8fnnn2PVqlUoLS3FqFGjkJycjIiICLVLIzvhkOHSLDc3FykpKfjyyy8RHh6OxYsX46677mLIkMOQZRmZmZlYuXIlvv/+e8THxyM5ORlRUVFql0Y2zqHDpdm+ffuQkpKCL774AgMGDMCzzz6LqVOnwsnJSe3SiKxClmXs2LEDK1euRElJCUOG2ozhcpX9+/cjNTUVmZmZ6N+/P5555hlMnz6dIUMOQ5ZlfPHFF1i1ahWKi4sxfPhwJCcnIyYmRu3SyMYwXK7j4MGDSE1Nxfbt2xEWFoZnn30Wd999N0OGHIYsy/jqq6+Qnp6O4uJixMXFITk5GbGxsWqXRjaC4XID33zzDVJTU7Ft2zb069cPzzzzDGbMmAFnZ2e1SyOyClmWsXPnTqSnp+PUqVMYNmwYHnnkEYYM3RTDpQXy8vKQmpqKLVu2IDQ0FIsWLcLMmTMZMuQwZFnGrl27sHLlShQVFWHo0KFITk7G4MGD1S6NNIrhYoFDhw4hNTUVmzdvRnBwMJ555hnMmjWLIUMOQ5ZlZGVlIT09HSdOnMDgwYPxyCOPYMiQIWqXRhrDcGmFw4cPIzU1FZs2bUJQUBAWLVqEe++9Fy4uLmqXRmQVzdfwS09PR2FhIQYNGoTk5GQMHTqUl1ciAAyXNsnPz8cLL7yAjRs3IjAwEH//+99x//33M2TIYTRfwy89PR3Hjx9HbGwskpOTMWzYMIaMg2O4KODIkSN44YUXsH79evTp0weLFi3C/fffD1dXV7VLI7IKIQR2796N9PR0HD16FDExMXjkkUcQFxfHkHFQDBcFHT161BQyvXr1wt///nfMmTOHIUMOQwiBvXv3YsWKFThy5Aiio6ORnJyM4cOHM2QcDMOlHRw7dgwvvvgiPv74Y/Ts2RMLFy7E3Llz4ebmpnZpRFbRHDLp6ekoKChAVFQUkpOTMWLECIaMg2C4tKPCwkK8+OKLyMjIQI8ePbBw4UI88MADDBlyGEII7Nu3D+np6Th8+DAiIyORnJyM+Ph4hoydY7hYwYkTJ0whc8stt2DBggWYN28eOnTo0KLHCyFw8eJF1NbWwsvLC35+ftwxyaYIIXDgwAGsWLEChw4dQnh4OJKTkzFq1KgWv5a5H9gYQVZz4sQJcf/99wtnZ2fRs2dPsXz5clFXV/eb96+qqhLLli0TwcHBAoDpKzg4WCxbtkxUVVVZr3giBciyLPbv3y/uv/9+ERERIaZPny527dolZFn+zcdwP7BNDBcVFBUVidmzZwsXFxfRo0cPkZaW9quQyczMFJ6enkKSJCFJktlO1fw9T09PkZmZqdJPQdR6siyLAwcOiDlz5oiIiAgxbdq064YM9wPbxXBR0alTp8TcuXOFi4uLCAgIEK+99pq4cuWKyMzMFE5OTkKn05ntTNd+6XQ64eTkxB2LbNrBgwfF3LlzRUREhJg6dar46quvhNFo5H5g43jMRQNOnz6Nf/zjH1i3bh38/PxQWVmJpqYmtORXo9Pp4O7ujrKyMvj6+rZ/sUTtJC8vD+np6Thw4AACAwPx5ZdfoqGhgfuBjeKSixoQHByMNWvW4MSJE+jbty8aGxtbtEMBv1zrqa6uDuvWrWvnKona16BBg7BmzRqsXbsWP//8M+rr67kf2DCOXDRECIHQ0FCcPn3aosdJkoSgoCCcOnWKZ8+QzeN+YB8YLhpy4cIF+Pv7t+nxfn5+ClZEZH3cD+wDp8U0pLa2tk2Pv3z5skKVEKmH+4F9YLhoiJeXV5se7+3trVAlROrhfmAfGC4a4ufnh+DgYIvniyVJQnBwMDp37txOlRFZD/cD+8Bw0RBJkvD444+36rFPPPEED2KSXeB+YB94QF9jqqur0bNnT+j1esiyfNP78/x+skfcD2wfRy4a4+vriw0bNkCSJOh0N/716HQ6SJKEjRs3cociu8L9wPYxXDQoKSkJ27Ztg7u7OyRJ+tUwv/l77u7u2L59O8aPH69SpUTth/uBbWO4aFRSUhLKysqwbNkyBAUFmd0WFBSEZcuW4ezZs9yhyK5xP7BdPOZiA4QQqKysxOXLl+Ht7Y3OnTvzoCU5HO4HtoXhQkREiuO0GBERKY7hQkREimO4EBGR4hguRESkOIYLEREpjuFCRESKY7gQEZHiGC5ERKQ4hgsRESmO4UJERIpjuBARkeIYLkREpDiGCxERKY7hQkREivt/+XsOhxbi1RoAAAAASUVORK5CYII=\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "from kan import *\n", - "# create a KAN: 2D inputs, 1D output, and 5 hidden neurons. cubic spline (k=3), 5 grid intervals (grid=5).\n", - "model = KAN(width=[2,5,1], grid=5, k=3, seed=1)\n", - "\n", - "# create dataset f(x,y) = exp(sin(pi*x)+y^2)\n", - "f = lambda x: torch.exp(torch.sin(torch.pi*x[:,[0]]) + x[:,[1]]**2)\n", - "dataset = create_dataset(f, n_var=2)\n", - "dataset['train_input'].shape, dataset['train_label'].shape\n", - "\n", - "# train the model\n", - "model.fit(dataset, opt=\"LBFGS\", steps=20, lamb=0.01);\n", - "model(dataset['train_input'])\n", - "model.plot()" - ] - }, - { - "cell_type": "code", - "execution_count": 13, - "id": "280cc49f", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "mode = 'auto'\n", - "\n", - "if mode == 'auto':\n", - " # automatic\n", - " model = model.prune_node(threshold=1e-2) # by default the threshold is 1e-2\n", - " model.plot()\n", - "elif mode == 'manual':\n", - " # manual\n", - " model = model.prune_node(active_neurons_id=[[0]])" - ] - }, - { - "cell_type": "markdown", - "id": "cf7001ab", - "metadata": {}, - "source": [ - "## Pruning Edges" - ] - }, - { - "cell_type": "code", - "execution_count": 17, - "id": "b58417be", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 6.02e-02 | test loss: 6.10e-02 | reg: 5.11e+00 : 100%|████| 6/6 [00:04<00:00, 1.36it/s]\n" - ] - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "from kan import *\n", - "# create a KAN: 2D inputs, 1D output, and 5 hidden neurons. cubic spline (k=3), 5 grid intervals (grid=5).\n", - "model = KAN(width=[2,5,1], grid=5, k=3, seed=1)\n", - "\n", - "# create dataset f(x,y) = exp(sin(pi*x)+y^2)\n", - "f = lambda x: torch.exp(torch.sin(torch.pi*x[:,[0]]) + x[:,[1]]**2)\n", - "dataset = create_dataset(f, n_var=2)\n", - "dataset['train_input'].shape, dataset['train_label'].shape\n", - "\n", - "# train the model\n", - "model.fit(dataset, opt=\"LBFGS\", steps=6, lamb=0.01);\n", - "model(dataset['train_input'])\n", - "model.plot()" - ] - }, - { - "cell_type": "code", - "execution_count": 18, - "id": "4d57cbfe", - "metadata": {}, - "outputs": [], - "source": [ - "model.prune_edge()" - ] - }, - { - "cell_type": "code", - "execution_count": 19, - "id": "e3a23aed", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.plot()" - ] - }, - { - "cell_type": "markdown", - "id": "1db74fbd", - "metadata": {}, - "source": [ - "## Prune nodes and edges together" - ] - }, - { - "cell_type": "markdown", - "id": "4e7e2c8a", - "metadata": {}, - "source": [ - "just use model.prune()" - ] - }, - { - "cell_type": "code", - "execution_count": 20, - "id": "1ea08f0e", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 3.57e-02 | test loss: 3.54e-02 | reg: 4.32e+00 : 100%|██| 20/20 [00:11<00:00, 1.71it/s]\n" - ] - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "from kan import *\n", - "# create a KAN: 2D inputs, 1D output, and 5 hidden neurons. cubic spline (k=3), 5 grid intervals (grid=5).\n", - "model = KAN(width=[2,5,1], grid=5, k=3, seed=1)\n", - "\n", - "# create dataset f(x,y) = exp(sin(pi*x)+y^2)\n", - "f = lambda x: torch.exp(torch.sin(torch.pi*x[:,[0]]) + x[:,[1]]**2)\n", - "dataset = create_dataset(f, n_var=2)\n", - "dataset['train_input'].shape, dataset['train_label'].shape\n", - "\n", - "# train the model\n", - "model.fit(dataset, opt=\"LBFGS\", steps=20, lamb=0.01);\n", - "model(dataset['train_input'])\n", - "model.plot()" - ] - }, - { - "cell_type": "code", - "execution_count": 21, - "id": "4fc161de", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model = model.prune()\n", - "model.plot()" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "5a8dd8a8", - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.7" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/tutorials/API_9_video.ipynb b/tutorials/API_9_video.ipynb deleted file mode 100644 index 732d522d..00000000 --- a/tutorials/API_9_video.ipynb +++ /dev/null @@ -1,130 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "134e7f9d", - "metadata": {}, - "source": [ - "# Demo 9: Videos\n", - "\n", - "We have shown one can visualize KAN with the plot() method. If one wants to save the training dynamics of KAN plots, one only needs to pass argument save_video = True to train() method (and set some video related parameters)" - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "id": "2075ef56", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 1.45e-02 | test loss: 1.48e-02 | reg: 3.83e+00 : 100%|██| 50/50 [01:44<00:00, 2.09s/it]\n" - ] - } - ], - "source": [ - "from kan import *\n", - "import torch\n", - "\n", - "# create a KAN: 2D inputs, 1D output, and 5 hidden neurons. cubic spline (k=3), 5 grid intervals (grid=5).\n", - "model = KAN(width=[4,2,1,1], grid=3, k=3, seed=1)\n", - "f = lambda x: torch.exp((torch.sin(torch.pi*(x[:,[0]]**2+x[:,[1]]**2))+torch.sin(torch.pi*(x[:,[2]]**2+x[:,[3]]**2)))/2)\n", - "dataset = create_dataset(f, n_var=4, train_num=3000)\n", - "\n", - "image_folder = 'video_img'\n", - "\n", - "# train the model\n", - "#model.train(dataset, opt=\"LBFGS\", steps=20, lamb=1e-3, lamb_entropy=2.);\n", - "model.fit(dataset, opt=\"LBFGS\", steps=50, lamb=0.002, lamb_entropy=2., save_fig=True, beta=10, \n", - " in_vars=[r'$x_1$', r'$x_2$', r'$x_3$', r'$x_4$'],\n", - " out_vars=[r'${\\rm exp}({\\rm sin}(x_1^2+x_2^2)+{\\rm sin}(x_3^2+x_4^2))$'],\n", - " img_folder=image_folder);\n" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "id": "c18245a3", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Moviepy - Building video video.mp4.\n", - "Moviepy - Writing video video.mp4\n", - "\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - " \r" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Moviepy - Done !\n", - "Moviepy - video ready video.mp4\n" - ] - } - ], - "source": [ - "import os\n", - "import numpy as np\n", - "import moviepy.video.io.ImageSequenceClip # moviepy == 1.0.3\n", - "\n", - "video_name='video'\n", - "fps=5\n", - "\n", - "fps = fps\n", - "files = os.listdir(image_folder)\n", - "train_index = []\n", - "for file in files:\n", - " if file[0].isdigit() and file.endswith('.jpg'):\n", - " train_index.append(int(file[:-4]))\n", - "\n", - "train_index = np.sort(train_index)\n", - "\n", - "image_files = [image_folder+'/'+str(train_index[index])+'.jpg' for index in train_index]\n", - "\n", - "clip = moviepy.video.io.ImageSequenceClip.ImageSequenceClip(image_files, fps=fps)\n", - "clip.write_videofile(video_name+'.mp4')" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "88d0d737", - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.7" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/tutorials/API_create_dataset.ipynb b/tutorials/API_create_dataset.ipynb deleted file mode 100644 index 6c4206ed..00000000 --- a/tutorials/API_create_dataset.ipynb +++ /dev/null @@ -1,136 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "53ff2e87", - "metadata": {}, - "source": [ - "# API: Create dataset" - ] - }, - { - "cell_type": "markdown", - "id": "25a90774", - "metadata": {}, - "source": [ - "how to use create_dataset in kan.utils" - ] - }, - { - "cell_type": "markdown", - "id": "2f9ae0c7", - "metadata": {}, - "source": [ - "Standard way" - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "id": "3e2b9f8b", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "torch.Size([1000, 1])" - ] - }, - "execution_count": 1, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "from kan.utils import create_dataset\n", - "\n", - "f = lambda x: x[:,[0]] * x[:,[1]]\n", - "dataset = create_dataset(f, n_var=2)\n", - "dataset['train_label'].shape" - ] - }, - { - "cell_type": "markdown", - "id": "877956c9", - "metadata": {}, - "source": [ - "Lazier way. We sometimes forget to add the bracket, i.e., write x[:,[0]] as x[:,0], and this used to lead to an error in training (loss not going down). Now the create_dataset can automatically detect this simplification and produce the correct behavior." - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "id": "b14dd4a2", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "torch.Size([1000, 1])" - ] - }, - "execution_count": 2, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "f = lambda x: x[:,0] * x[:,1]\n", - "dataset = create_dataset(f, n_var=2)\n", - "dataset['train_label'].shape" - ] - }, - { - "cell_type": "markdown", - "id": "60230da4", - "metadata": {}, - "source": [ - "Laziest way. If you even want to get rid of the colon symbol, i.e., you want to write x[;,0] as x[0], you can do that but need to pass in f_mode = 'row'." - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "id": "e764f415", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "torch.Size([1000, 1])" - ] - }, - "execution_count": 3, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "f = lambda x: x[0] * x[1]\n", - "dataset = create_dataset(f, n_var=2, f_mode='row')\n", - "dataset['train_label'].shape" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.7" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/tutorials/Example_10_relativity-addition.ipynb b/tutorials/Example_10_relativity-addition.ipynb deleted file mode 100644 index d29f1bbf..00000000 --- a/tutorials/Example_10_relativity-addition.ipynb +++ /dev/null @@ -1,376 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "5d904dee", - "metadata": {}, - "source": [ - "# Example 10: Relativitistic Velocity Addition" - ] - }, - { - "cell_type": "markdown", - "id": "6465ec94", - "metadata": {}, - "source": [ - "In this example, we will symbolically regress $f(u,v)=\\frac{u+v}{1+uv}$. In relavitity, we know the rapidity trick $f(u,v)={\\rm tanh}({\\rm arctanh}\\ u+{\\rm arctanh}\\ v)$. Can we rediscover rapidity trick with KAN?" - ] - }, - { - "cell_type": "markdown", - "id": "94056ef6", - "metadata": {}, - "source": [ - "Intialize model and create dataset" - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "id": "0a59179d", - "metadata": {}, - "outputs": [], - "source": [ - "from kan import *\n", - "\n", - "# initialize KAN with G=3\n", - "model = KAN(width=[2,1,1], grid=10, k=3)\n", - "\n", - "# create dataset\n", - "f = lambda x: (x[:,[0]]+x[:,[1]])/(1+x[:,[0]]*x[:,[1]])\n", - "dataset = create_dataset(f, n_var=2, ranges=[-0.9,0.9])" - ] - }, - { - "cell_type": "markdown", - "id": "cb1f817e", - "metadata": {}, - "source": [ - "Train KAN and plot" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "id": "a87b97b0", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 6.27e-04 | test loss: 5.79e-04 | reg: 5.51e+00 : 100%|██| 20/20 [00:04<00:00, 4.76it/s]\n" - ] - } - ], - "source": [ - "model.fit(dataset, opt=\"LBFGS\", steps=20);" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "id": "3f1cfc9d", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.plot(beta=10)" - ] - }, - { - "cell_type": "markdown", - "id": "5ca6421a", - "metadata": {}, - "source": [ - "Retrain the model, the loss remains similar, meaning that the locking does not degrade model behavior, justifying our hypothesis that these two activation functions are the same. Let's now determine what this function is using $\\texttt{suggest_symbolic}$" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "id": "2ccb7048", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - " function fitting r2 r2 loss complexity complexity loss total loss\n", - "0 arctanh 0.999999 -16.470396 4 4 -16.470396\n", - "1 tan 0.999842 -12.540685 3 3 -12.540685\n", - "2 arcsin 0.998866 -9.771875 4 4 -9.771875\n", - "3 arccos 0.998866 -9.771725 4 4 -9.771725\n", - "4 x^0.5 0.982258 -5.815842 2 2 -5.815842\n" - ] - }, - { - "data": { - "text/plain": [ - "('arctanh',\n", - " ((x)>,\n", - " (x)>,\n", - " 4,\n", - " (x, y_th)>),\n", - " 0.9999989867210388,\n", - " 4)" - ] - }, - "execution_count": 4, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "model.suggest_symbolic(0,1,0,weight_simple=0.0)" - ] - }, - { - "cell_type": "markdown", - "id": "0092be41", - "metadata": {}, - "source": [ - "We can see that ${\\rm arctanh}$ is at the top of the suggestion list! So we can set both to arctanh, retrain the model, and plot it." - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "id": "1bb96fe1", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "r2 is 0.9999993443489075\n", - "r2 is 0.9999989867210388\n" - ] - }, - { - "data": { - "text/plain": [ - "tensor(1.0000)" - ] - }, - "execution_count": 5, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "model.fix_symbolic(0,0,0,'arctanh')\n", - "model.fix_symbolic(0,1,0,'arctanh')" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "id": "83b852a3", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 3.91e-04 | test loss: 4.70e-04 | reg: 5.54e+00 : 100%|██| 20/20 [00:02<00:00, 7.30it/s]\n" - ] - } - ], - "source": [ - "model.fit(dataset, opt=\"LBFGS\", steps=20, update_grid=False);" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "id": "9ccd0923", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.plot(beta=10)" - ] - }, - { - "cell_type": "markdown", - "id": "4b98a727", - "metadata": {}, - "source": [ - "We will see that ${\\rm tanh}$ is at the top of the suggestion list! So we can set it to ${\\rm tanh}$, retrain the model to machine precision, plot it and finally get the symbolic formula." - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "id": "99ad38b9", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - " function fitting r2 r2 loss complexity complexity loss total loss\n", - "0 tanh 0.999974 -14.743149 3 3 -0.548630\n", - "1 x 0.945782 -4.204828 1 1 -0.040966\n", - "2 0 0.000000 0.000014 0 0 0.000003\n", - "3 cos 0.995867 -7.915010 2 2 0.016998\n", - "4 sin 0.995867 -7.915010 2 2 0.016998\n" - ] - }, - { - "data": { - "text/plain": [ - "('tanh',\n", - " ((x)>,\n", - " (x)>,\n", - " 3,\n", - " (x, y_th)>),\n", - " 0.9999735355377197,\n", - " 3)" - ] - }, - "execution_count": 8, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "model.suggest_symbolic(1,0,0)" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "id": "af24c80d", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "r2 is 0.9999735355377197\n" - ] - }, - { - "data": { - "text/plain": [ - "tensor(1.0000)" - ] - }, - "execution_count": 9, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "model.fix_symbolic(1,0,0,'tanh')" - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "id": "01936f17", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 6.55e-08 | test loss: 6.85e-08 | reg: 5.57e+00 : 100%|██| 20/20 [00:01<00:00, 17.11it/s]\n" - ] - } - ], - "source": [ - "model.fit(dataset, opt=\"LBFGS\", steps=20);" - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "id": "76bcc188", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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LhCl6LsBRFi5cqNra2lbB0p5gMKja2lotWrSokysDIgc9F6AFx3GUm5urkpKSbwyFHavnIknGGOXk5GjXrl0yR+ZjgFhGzwVooby8XHv27DnhpcaO42jPnj06ePBgJ1UGRBbCBWihurr6lF5fVVXlUiVAZCNcgBbS09OP+dxHskNiH7Xz+m7durldEhCRCBeghV69eql///5tzpsEZOdaAm28zhij/v37q2fPnp1dIhARCBegBWOM7rrrrpN67bRp05jMB45gtRhwlGPtczkW9rkA30TPBThKRkaGioqKZIyRz9d+E/H5fDLGaMmSJQQL0ALhArQhPz9fy5cvV0pKiowx3xjuCj2WkpKiFStWaMKECR5VCoQnwgU4hvz8fJWWlmru3LnKyclp9VxOTo7mzp2rffv2ESxAG5hzATrAcRy9++67uvzyy7Vq1SqNHz+eyXugHfRcgA4wxjTNqWRkZBAswHEQLgAA1xEuAADXES4AANcRLgAA1xEuAADXES4AANcRLgAA1xEuAADXES4AANcRLgAA1xEuAADXES4AANcRLgAA1xEuAADXES4AANcRLgAA1xEuwHE0NDRo3759+vDDDyVJe/bs0cGDBxUMBj2uDAhfXHMMHIPf71dRUZFefvll7dixQ1VVVaqvr1dycrKysrI0btw4TZkyRWPGjFF8fLzX5QJhhXAB2rBhwwZNnz5d27dv1/Dhw1VQUKAhQ4YoPT1dfr9fmzdv1rJly7R7925df/31evDBB5WVleV12UDYIFyAo7z99tuaPHmy0tPT9cgjj+jqq69WfX29CgsLVVdXp+7du+uGG25QQ0ODCgsLNXPmTA0aNEgvvfSSevfu7XX5QFggXIAWPv74Y1111VVKS0tTYWGhBg4cKGOMSkpKdOGFF6qyslL9+vXT5s2blZmZKcdxtHbtWt1444269NJL9cILLygpKcnrvwbgOSb0gSMaGxv18MMPq6KiQk8//XRTsLTHGKOxY8fqscce09KlS7Vy5couqhYIb4QLcMTu3bu1bNkyTZw4UWPHjj1usIQYY3Tttddq1KhRWrBggQ4fPtzJlQLhjyUuwBHr169XdXW1Jk2apL1796qmpqbpudLSUjU2NkqS6uvrtWPHDnXv3r3p+T59+mjixImaOXOm9u/fr+zs7C6vHwgnhAtwxEcffaTU1FTl5OTotttu07p165qecxxHdXV1kqSysjJdeeWVTc8ZY/TEE09o8ODBqq2tVVlZGeGCmEe4AEcEAgHFx8crKSlJdXV1OnToUJvf5zjON547fPiwUlJSWoUQEMsIF2DvXum993T62rUK1NbK7/dr5MiRSktLa/qWQCCg9evXN4XI6NGjmzZOGmN09tln68svv5Tv8GFl7t4tDR8uJSd79BcCvEe4IPZ89pm0erX0P/8jvfee9OmnkjEa1revGurqtHHjRs2ePbvVS0pKSjR8+HBVVlaqd+/eWrx4sTIyMpqeN8ZoxowZOqOhQdlTp0rTp0sjR0qXXCLl5dmwYYkyYgj7XBD9yspsiIS+PvnEPj5kSPOb/9ixKg8GNXbsWGVmZmrlypWtJuyPtc9FssNkZWVlysvL0/f/5m/0xOTJMmvW2ABbvVqqrJRSUqRRo5r/vGHDpMREL/41gC5BzwXR54svbK9k9WobJrt328cHDZKuusq+uV9yidSzZ6uX9ZJ055136u6779b8+fN17733dujMsLq6Os2aNUuBQEC33X67zIAB0tCh0p13So2N0gcfNNcyZ450//1Saqp08cW2lrw86YILpIQE9/8tAI/Qc0HkO3DAvnGH3sB37rSPf/e7zT2FSy6ROnD2V01NjW699VatWLFC999/v6ZOnark5GR98sknGjFihCorK/Xtb39bGzduVEZGhqqqqvTQQw/p+eef15w5c3TLLbe0/wccPixt29Zc77p1UnW1lJ4ujR7dHDZDh0ochokIRrgg8pSXNw85vfee9Ne/2sdzc5vDJC9POslzvg4cOKA77rhDb775pvLz8zV9+nSde+652rlzp4LBoBITE3XOOedo48aNevzxx7V161Y98MADmjp1quLi4k7sD2tokLZsaQ6b9eul2lqpe3dpzJjmv8vgwdKJ/m8DHiJcEP4qKqQ1a5rfgD/4wD6ek9M6TPr0ce2PrKmp0YIFCzR//nx98cUXysnJUW5urrp166aKigrt3LlTZWVlGjZsmO677z7l5eXJ53PhwIv6emnz5ubg3LBBOnRI6tFDGjeuuRd23nmSG38e0EkIF4Sfykpp7drmMNm2TXIcqW/f5iDJy5O6YKPi/v37tWrVKr333nsqKSnRoUOHlJmZqfPOO08TJkzQyJEjlZqa2nkF1NVJmzY1h83//q99LDOzOWzy8qSBA6UOHlcDdAXCBd6rqrJzD6E30C1bpGBQOuss+8Z56aX21759PS2zsbFRjuPI5/O500s5GYcO2YAJ/Vtt3GiH1k47rXXYDBhA2MBThAu6XnW1He4JLQ3+85/tqqozz7RBEhrq6tePN8jjqa2V3n+/OWz+9Ce7aOD001sPGZ5zDv+W6FKECzpf6A0wFCYt3wBbhglvgKeuurr1v3XL4G4ZNgQ3OhnhAveFhm5Cb3Ath25CE9IM3XSNr79u3UvcutUOOWZntw4bj4ccEX0IF5y60KRzaONiaNK5Z0/7BhZ6E2PS2XuhxRKhYbTt25sXS7QMG051xikiXHDiQstlQ2dzvf++7a1kZNhJ5dCbFMtlw19FReuwCS3z7tev9cq8M8/0tk5EHMIFxxfa6BcKkw0bmjf6jR3bPNQ1ZAgb/SJdeXnzMvCWG1TPOac5aC655KQ3qCJ2EC74psOH7dh86A1m/frmI0rGjGnumZx/PkeURLsDB5o3sLY8WmfAgNZhc9pp3taJsEO4wK4m2r69+Q1k3To7EZya2vq8Kw5XxP79rcMmdCjowIHNPyfjxn3jUFDEHsIlFgWD0l/+0vwGsXat5Pfby61antTLsfA4nrKy5vmaltcZDB7c3KsZN87OxyGmEC6xwHHs2HnoDWDNGungQXt51ciRzWHChVY4VaGL2EI/a0cuYtOQIc0/Z2PG2LPSENUIl2jkOHZsPNTAV6+WvvrKDmmNGNG8cXHkSK7iRefau7d12OzbZ1cQnn9+c9iMHi116+Z1pXAZ4RINHMeOfbe8bfHLL+1k+0UXNYfJqFF2HgXwguPYYbOWP6f799sVhhde2Bw2F18spaV5XS1OEeESidpqpJ9/3txIQwc9jhplV3gB4ejoD0WrV7f+UBQKm5Ej+VAUgQiXSPF//2cbYGgXfGmpHV644ILWn/ha3PsORJS2hnPLy+2ikuHDmxcIMJwbEQiXSDFkiLRrl73+tuVYNatwEK2CQenDD1svRKmokF56SfrhD72uDsdBuESKYNCuuuFsLsQqx7FftIOIQLgAAFzH2R0ucRxHB3bvVn15udelnBqfT6cNGqRkVuvgBNEG0BLh4hLHcfTR/PlKzM5WUnKyVFMTkZPrX61bp/NmzNCZgwd7XQoiDG0ALREuLjJJSTp36FD1WLDAniRcWBhRSygdx9Gmmho7rg2cBNoAQggXtzmOXdkSOnJl2DAmHxFbWraBHTvsnhXaQMzhJie3nXuuNGiQve/kjTe8rgboeueeay+Kq62Vli71uhp4hHBxW3KyNHGi/aT2+uv2TC8gliQnS5Mm2Tbw2mvSF194XRE8QLi4zRjpBz+QzjhD2rPHBgzjt4gloTbQp489uLKoiDYQgwiXznD22XYHcTAoPfecvc0PiCXZ2dINN9g28Pzz9uw7xBTCpTMYI/30p9KZZ9rjKxYssI0MiBXGSD/5ifStb9nDKZ95xt54iphBuHQGY6T+/aWpU+3v//3fpY0bGRpA7DBG6ttXmjbNHrD6wgv2bDDaQMwgXDqLz2c/uY0aZU92/Zd/sceJ07gQK4yRbr5ZGj9e+vpr6Ze/tKd50wZiAuHSmTIypEcekU4/Xdq0SZoxwy7PBGJFt262DWRnSx98IN19t1RZScDEAMKlMxljN5DNmmWXZy5eLD30kHTokNeVAV3DGLvv67HHbNAsX24/ZLELPuoRLp3N55P+7u+k6dNtQ3v6aenRRwkYxA5jpO9/X/rVr6SEBGnRIunf/o2AiXKES1dISJB+8Qs7we840pNPSvfdJ1VX07gQG+LipNtvl+691/7+xRftB66KCtpAlCJcukpysjRzpnTHHfa/n3lGuvNOJvkROxITpZ//3PZgEhOll1+WbrnFXuFNG4g6hEtXMcaeDjtzph0SSEqSfv97O2T2wQc0LsSGxETpZz+TZs+2x/G//bbdcLx2LXvBogzh0tWSk+2KmfnzpawsacMGexbZ4sVSfT0hg+iXkCBNmSL95jd2L8yOHXY3/zPP2NWUtIGoQLh4IT7e9lgKC6WhQ6V9++x8zC9+Ie3fT+NC9PP5pO99z547dskldu5lxgy7N2zPHtpAFCBcvOLz2Q2WRUXSTTfZIYEFC+yBf8XF0uHDNDBEN2OkgQOlV16R/vmf7ZDZa69J11wj/e53dkUlbSBiES5eMsaeHPv003aYLLTR7O//3vZi9u2jcSG6GSP17Gn3gi1cKH33u3aC/5/+yQ6d7dxJG4hQhIvXjLGT+zffLC1bJl17rb0e9vnnpauvtpP+fIJDtIuPlwoKbBuYMsUuV16yxD72zDP2+BjaQEQhXMKFMdKAAXaS86mnpG9/W9q1S/rHf5QmT7Y9GlbTIJoZI511ljRnjt1oOWSIPar/3nubV5QxXBwxCJdwYoyUkmJ7MW+9Jd16q/1Et3Sp/QT38MP2bhgaF6KVMXY1WagXc889dsnymjX2dstf/EL67DPaQAQgXMJR6LjyuXPtirIRI6SDB224XHONDZu6OhoYopcx9sDXX//a/rxPmCAFAna4+KqrpP/8T064CHOES7gKfYK74gp7VfJDD9nLx7Zvt8NkU6bY/QEMlSGaxcXZw19feUV69lnpnHOkTz6xq8uuv156/317CRkhE3YIl3BnjJSZaRvTihV2f4zPZ5cwX3ON9MQTtldD40K0Cp1ucdNNdrj4zjvtf7/zjnTddfbEi88/pw2EGcIlUhgjfec70nPPSf/1X9KFF9r5l5kzbQN75x0mOxHdQhP+jz5q98OMH2+HxubPtx+0lixhuDiMEC6RxBi70ex735PeeMOOR/fqZa9Qvv56e9sln+AQzYyxQ2UXX2yX6c+ZY/eHffihHSqeOtUOm9EGPEe4RCJjbKjcc49dUVNQYM8le/ZZe2/GW2/Ri0F0M0ZKT7fHxbz1lt14bIydmykosGf10YvxFOESyXw+uxdg0SK7siw7207y33yzPdacuRhEO2OknBz7werFF+3Q8d699u6Yn/2MnryHCJdIF5rsvOUWe4XstdfaT2zz50t/+7fStm00LkS30HDxddfZNnDzzfbx3/7W7o3ZsIFVlR4gXKKFMVJurv309uijdths/XrbuIqK7DAZEM1CE/7z59sjY/r0kbZutfORCxfaY5XQZQiXaBLqxUydKr36qnTBBVJZmR0imDOHM8oQ/UJn9d14o11RNnq0VF5ub8CcNUuqqaENdBHCJRr5fNLIkTZgJk60oTJrlp2HoXEhFhgjDR5sT7i4+Wbbc3/ySXtRX2UlbaALEC7RKnSc/3PP2U1nxtjf//KXHJuB2GCMdNppNlTuvdeeePHSS3ain4DpdIRLNAst17z/fnvLX0KCHXv+1a/sOU1AtAsNFf/yl9IDD9hrxl991f53TY3X1UU1wiXahcagf/5ze0xGQoI91v/JJ5ngROxISLBzkQ88YFeW/e53duFLfb3XlUUtwiVWJCRI06ZJd91lhwPmzLETngwNIFbEx9v7ke65x37oeuYZu9mSNtApCJdYkphox54nTZJqa21P5sMPaVyIHQkJ0vTp9gDYQ4fs2XwffEAb6ASES6xJTbXH9593nlRaahsX8y+IJcnJdh7y/PPtUv2ZM+2HLbiKcIk1oY1mDzxgg2blSns+GZ/cECuMkc44wy7PT0+X/vhHe2cSbcBVhEssMsZeQvajH9lJ/TlzpIoKr6sCuo4x0qWX2t37DQ3SvHn2LD64hnCJVfHxdoI/K0v6y1+kN9/0uiKga8XF2T1gp59uD3xdtszriqIK4RKrjJEGDLCH/TU22kP+GHdGLAldwDdxoj3YcuFC2oCLCJdY5vNJP/6xHXfessUe8gfEEmPs9cnp6fbnf8sWryuKGoRLLDPGrhobNswuy1y61OuKgK5ljDRokHTRRbYNvPGG1xVFDcIl1iUl2fvH4+Ls3S8sS0asoQ10inivC4gmjuOoxu+XLyHB61JOTF6e9NRT0vDhOvyHP3hdDSJYxLeBESN0+NVXva4mKhAuLjHGKO3ss7Xr2Wdl4uK8LufkfPCBnEBAiT16eF0JIhBtAC0Zx2HnkBscx1G0/FMaY2SM8boMRBjaAFoiXAAArmNCHwDgOsIlUjiO3ehFRxOxjHYQMQiXSLF1qz1oko2OiGXbtklpafZXhDXCBQDgOsIFAOA6wgUA4DrCBQDgOsIFAOA6wgUA4DrCBQDgOsIFAOA6wgUA4DrCBQDgOsIFAOA6wgUA4DrCBQDgOsIFAOA6wgUA4DrCJQI4jqOKiopWvwKxJvTzH6QdRATCJYz5/X7NmzdPubm5uuzyy1VXX6/LLr9cubm5mjdvnvx+v9clAp2uZTsYf9llqqur0/jLLqMdhDnjEP9hqbi4WJMmTVJtba0kaajjaIOkiyVtM0aSlJqaqqKiIuXn53tXKNCJjm4HQ1q0g+20g7BGzyUMFRcXq6CgQIFAQI7jfKP7H3osEAiooKBAxcXFHlUKdB7aQWSj5xJm/H6/srOzFQgEFAwGmx4/X2r6xLa1xff7fD6lpKSotLRUGRkZXVkq0GmO1Q6GqrkdbGvx/bSD8EPPJcwsXLhQtbW1rRpUe4LBoGpra7Vo0aJOrgzoOrSDyEfPJYw4jqPc3FyVlJR8YwjgfLXdc5EkY4xycnK0a9cumSPj0ECkaq8dHKvnItEOwg09lzBSXl6uPXv2nPASS8dxtGfPHh08eLCTKgO6Du0gOhAuYaS6uvqUXl9VVeVSJYB3aAfRgXAJI+np6cd8bqfsUMDOdl7frVs3t0sCulx77eBj2XbwcTuvpx2EB8IljPTq1Uv9+/dvc7w4IDvXEmjjdcYY9e/fXz179uzkCoHOd7x2sE20g0hAuIQRY4zuuuuuk3rttGnTmMREVKAdRAdWi4WZY63vPxbW9yMa0Q4iHz2XMJORkaGioiIZY+Tztf9/j8/nkzFGS5YsoUEhqtAOIh/hEoby8/O1fPlypaSkyBjzjW5+6LGUlBStWLFCEyZM8KhSoPPQDiIb4RKm8vPzVVpaqrlz5yonJ6fVczk5OZo7d6727dtHg0JUox1ELuZcIoDjODp48KCqqqrUrVs39ezZk0lLxBzaQWQhXAAArmNYDADgOsIFAOA6wgUA4DrCBQDgOsIFAOA6wgUA4DrCBQDgOsIFAOA6wgUA4DrCBQDgOsIFAOA6wgUA4DrCBQDgOsIFAOC6/w/UUmqJhnMKAQAAAABJRU5ErkJggg==\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.plot()" - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "id": "b62b0246", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle \\tanh{\\left(\\operatorname{atanh}{\\left(x_{1} \\right)} + \\operatorname{atanh}{\\left(x_{2} \\right)} \\right)}$" - ], - "text/plain": [ - "tanh(atanh(x_1) + atanh(x_2))" - ] - }, - "execution_count": 12, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "formula = model.symbolic_formula()[0][0]\n", - "nsimplify(ex_round(formula, 4))" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.7" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/tutorials/Example_11_encouraing_linear.ipynb b/tutorials/Example_11_encouraing_linear.ipynb deleted file mode 100644 index 973994b0..00000000 --- a/tutorials/Example_11_encouraing_linear.ipynb +++ /dev/null @@ -1,308 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "095b0666", - "metadata": {}, - "source": [ - "# Example 11: Encouraging linearity\n", - "\n", - "In cases where we don't know how deep we should set KANs to be, one strategy is to try from small models, grudually making models wider/deeper until we find the minimal model that performs the task quite well. Another strategy is to start from a big enough model and prune it down. This jupyter notebook demonstrates cases where we go for the second strategy. Besides sparsity along width, we also want activation functions to be linear ('shortcut' along depth)." - ] - }, - { - "cell_type": "markdown", - "id": "ef047a0f", - "metadata": {}, - "source": [ - "There are two relevant tricks: \n", - "\n", - "(1) set the base function 'base_fun' to be linear; \n", - "\n", - "(2) penalize spline coefficients. When spline coefficients are zero, the activation function is linear." - ] - }, - { - "cell_type": "markdown", - "id": "91301ca0", - "metadata": {}, - "source": [ - "### Case 1: 1D function \n", - "\n", - "$f(x)={\\rm sin}(\\pi x)$. Although we know a [1,1] KAN suffices, we suppose we don't know that and use a [1,1,1,1] KAN instead." - ] - }, - { - "cell_type": "markdown", - "id": "77f9e16d", - "metadata": {}, - "source": [ - "without trick" - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "id": "c881665b", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 7.51e-04 | test loss: 7.58e-04 | reg: 8.53e+00 : 100%|██| 20/20 [00:05<00:00, 3.81it/s]\n" - ] - } - ], - "source": [ - "from kan import *\n", - "\n", - "# create dataset f(x,y) = sin(pi*x). This task can be achieved by a [1,1] KAN\n", - "f = lambda x: torch.sin(torch.pi*x[:,[0]])\n", - "dataset = create_dataset(f, n_var=1)\n", - "\n", - "model = KAN(width=[1,1,1,1], grid=5, k=3, seed=0)\n", - "\n", - "model.fit(dataset, opt=\"LBFGS\", steps=20);" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "id": "201ceacf", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.plot()" - ] - }, - { - "cell_type": "markdown", - "id": "13c725a5", - "metadata": {}, - "source": [ - "with tricks" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "id": "a22ffff3", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 6.30e-03 | test loss: 5.94e-03 | reg: 1.49e+01 : 100%|██| 20/20 [00:05<00:00, 3.70it/s]\n" - ] - } - ], - "source": [ - "from kan import *\n", - "\n", - "# create dataset f(x,y) = sin(pi*x). This task can be achieved by a [1,1] KAN\n", - "f = lambda x: torch.sin(torch.pi*x[:,[0]])\n", - "dataset = create_dataset(f, n_var=1)\n", - "\n", - "# set base_fun to be linear\n", - "model = KAN(width=[1,1,1,1], grid=5, k=3, seed=0, base_fun=lambda x: x)\n", - "\n", - "# penality spline coefficients\n", - "model.fit(dataset, opt=\"LBFGS\", steps=20, lamb=1e-4, lamb_coef=10.0);" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "id": "c82c8db5", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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qsm1ba9as0SeffCKXq/YvyF0ul8aPH6+GDRv6ehSgUogL/IY//lVm/wW1FafF4Df4hxioOWr/+QMAQI1DXAAAjiMuQAXt2LFDxhjt2LHD16MANR5xAQA4jrgAABxHXAAAjiMuAADHERcAgOOICwDAccQFAOA44gIAcBxxAQA4jrgAABxHXAAAjiMuAADHERcAgOOICwDAccQFAOA44gIAcBxxASrAtm3l5uZKknJzc2Xbto8nAmo24gJcgsfjUVpamuLi4hQfHy9Jio+PV1xcnNLS0uTxeHw7IFBDGZv/ggEXtHbtWvXv31+FhYWSdM5qxRgjSQoLC9PKlSvVs2dPn8wI1FTEBbiAtWvXqnfv3rJtW5ZlXfR5LpdLxhhlZGQQGKAc4gKcx+PxqFWrVioqKrpkWM5yuVwKDQ1Vdna2oqKiqn9AoBZgzwU4z6JFi1RYWFihsEiSZVkqLCzU4sWLq3kyoPZg5QKUY9u24uLilJmZeUVXhBljFBMTo927d5ftxwB1GXEByjl27Jiio6OrdHyjRo0cnAionTgtBpSTn59fpePz8vIcmgSo3YgLUE54eHiVjo+IiHBoEqB2Iy5AOY0aNVJsbOwV75sYYxQbG6uGDRtW02RA7UJcgHKMMRo3blyljk1OTmYzHziDDX3gPHzOBag6Vi7AeaKiorRy5UoZY+RyXfotcvYT+m+//TZhAcohLsAF9OzZUxkZGQoNDZUx5ienu87+LDQ0VKtXr1ZCQoKPJgVqJuICXETPnj2VnZ2t1NRUxcTEnPNYTEyMUlNTdfDgQcICXAB7LkAF2LatjRs3qkePHlq/fr26d+/O5j1wCaxcgAowxpTtqURFRREW4DKICwDAccQFAOA44gIAcBxxAQA4jrgAABxHXAAAjiMuAADHERcAgOOICwDAccQFAOA44gIAcBxxAQA4jrgAABxHXAAAjiMuAADHERcAgOOIC3AZlmXpxIkTOnDggCQpJydHBQUFPp4KqNn4mmPgIk6dOqUNGzZo8eLF2rp1q44cOaL8/HxFRkaqTZs2SkhIUFJSktq1a8c3UwLnIS7ABWRmZiolJUUZGRlq0aKFunfvrltvvVX169fX8ePHtW3bNm3cuFElJSWaMGGCkpOTFRYW5uuxgRqDuADn+eabb5SYmKisrCyNHz9eo0aNUv369bVz5055vV6FhISoQ4cOysnJ0fTp05Wenq4hQ4Zo2rRpBAY4g7gA5Rw/flz333+/du3apddff119+vSR2+1WZmamOnfuLI/HozZt2mjLli2KioqS1+vVggULlJKSoieffFLPPvusXC62MoEAXw8A1CSzZ8/Wtm3bNGPGDPXt2/ecUJSUlMjr9crr9UqSjDEKDAzUyJEjlZWVpRkzZqhPnz7q2LGjr8YHagz+iwWcceTIEaWnp6tLly4aOnRohVcgAQEBSk5OVpMmTTRv3jxxMgAgLkCZrVu3KisrS8OGDVNISIhKS0vP+XWWbds/eaxx48Z64IEHtG7dOnk8Ht/9IYAagtNiwBk7d+5UUFCQOnbsqIkTJ+rrr78ue6yoqKjssy2HDx/W4MGDFRDwf2+fMWPG6K677tLMmTN18OBBNWjQ4KrPD9QkxAU448iRIwoJCVFkZKS2bNmizZs3X/B5RUVFWr9+/Tk/6927t7p27SrLsli5ACIuQJng4GBZliWv1yuXy/WTPRfLssp+f/5jxhidPn1akhQYGFj9wwI1HHEBzoiNjVVBQYGys7M1ZcoU5ebmlj2Wk5Oj5ORkFRQUqGnTppo5c6bCw8PLHm/Xrp0+/vhjhYSEqGnTpr4YH6hRiAtwRufOnRUUFKQ1a9Zo8uTJ56xOMjMzy/ZYwsLCFB8ff86+itfr1erVq9WuXTs1b978qs8O1DRcLQac0b59e3Xp0kXLli3Tnj17KnxJsW3b2rJliz766CMlJiYqODi4micFaj7iApwRHBysiRMnyuPxaOLEiTp58uRlA2PbtnJycpSSkqK4uDgNHjz4Kk0L1GzEBSinW7dueuqpp/Thhx9q9OjROnjwoGzbltvtVrNmzdS8eXM1adJELpdLtm3r+++/V1JSkvbt26fp06dzCTJwBvcWA85TXFysyZMna+rUqWrdurXGjBmjhIQEBQcHy+12q7S0VPn5+Vq1apXmzp2rwMBAzZkzRz169PD16ECNQVyACygtLS3b2N++fbtCQ0PVvHlz1atXT3l5eTp06JDcbrf69eunSZMmqW3btr4eGahRiAtwCYWFhdq2bZs2bdqkzz77TB988IEGDBig+Ph4devWTW3btpXb7fb1mECNQ1yACtqxY4c6deqk7du3c+dj4DLY0AcAOI64AAAcR1wAAI4jLgAAxxEXAIDjiAsAwHHEBQDgOOICAHAccQEAOI64AAAcR1wAAI4jLgAAxxEXAIDjiAsAwHHEBQDgOL7PBQDgOFYuAADHBfh6AMAJtm0rNzdXubm5vh7FES6XS61atVJgYKCvRwEqhbjAb8ydO1ffffedmjRpckXH2bYtY0w1TXXlbNvWF198ofnz56t169a+HgeoFOICv2FZlsaOHavbbrutQs/ft2+fVqxYoV27dum6665T//791a5duxoRmgkTJsiyLF+PAVQacYHfuVwcLMvS6tWrNXbsWB04cKDs5zNnztQf//hHPfLIIwoI8N1bg2ts4A+IC+oU27a1efNmPfzwwzp69Khatmyprl27aufOnfr3v/+t8ePHy7IsjR49Wi4X17sAlcW7B3XKsWPH9Pjjj+vo0aO66aabtGbNGi1btkwbN27Ufffdp1OnTumZZ57Rpk2bWEEAVUBcUGdYlqU///nP+vLLLxUZGanZs2frpptuksvlUsuWLTV37lzdeuut8ng8mjhxojwej69HBmot4oI6Y9++fZozZ45s29aoUaPUtWvXsv0ZY4xatGihP/3pTwoPD9fWrVuVnp7O6gWoJOKCOsG2bS1YsEA5OTlq2bKlxo4dK7fbfc5zjDH6xS9+oSFDhsiyLL322mvKycnx0cRA7UZcUCf88MMPevPNNyVJw4cPv+jnR9xut8aPH6/o6Gjt27dPixcvZvUCVAJxgd+zbVurVq3SgQMH1KhRI40YMeKiV4IZY3T99ddr0KBBsm1b6enpOn78+FWeGKj9iAv8XlFRUdkKpFevXmrbtu0ln2+M0ahRoxQZGal///vfysjIYPUCXCHiAr9m27a2b9+unTt3KigoSElJSZf9/IoxRu3bt1d8fLwsy9LChQtVXFx8lSYG/ANxgV+zbVtLly7VqVOndPPNN+vOO++s0O1d3G63RowYoYCAAH3++ef66quvWL0AV4C4wK8dPXpUq1evliQNHDhQ9erVq9BxxhjdfffduvHGG1VYWKjly5dX55iA3yEu8Fu2bWvDhg3KyspSVFSU7r///iu6KWX9+vX1wAMPSJLef/99v7mdP3A1EBf4rdLSUq1YsUKWZemuu+5SbGzsFR1vjNGvfvUrhYeHa+/evfrHP/7BqTGggogL/Nb+/fu1adMmuVwuDRw4sFJ3Om7Xrp06deokr9ert956i7gAFURc4Jds29aHH36oEydOqFmzZurRo0elvqclKCio7NTYhg0bdOTIEadHBfwScYFfKi4uLltp9OjRQ82aNavU6xhjdO+99yoqKkqHDh3ibslABREX+KVvv/1W27dvV0BAgAYOHFil72Zp06aN7rjjDlmWpXfeeYdviAQqgLjA79i2rXfffVf5+fmKiYk55+7HlREQEFB2pdknn3zCqTGgAogL/E5eXp7effddSVLv3r3VoEGDKr2eMUbx8fGKiopSTk6ONm/ezKkx4DKIC/zO559/ru+++04hISEaMGCAI6953XXX6bbbbpNlWVq1ahVxAS6DuMCvWJal5cuX6/Tp07rlllvUoUOHKp0SOyswMFB9+/aVJH3yySc6evRolV/zfLZtEy34DeICv/LDDz/oww8/lPSf272EhoY68rrGGP3yl79UZGSkDh06pE8//dTRENi2ra1bt2rJkiU6fPiwY68L+ApxgV8JDAzUkCFDdMcdd1zx7V4uJyYmRh07dlRpaanee+89R+NiWZbS0tL04IMPaty4cfJ6vY69NuALxAV+JTo6WlOmTNGGDRsUExPj6GuXPzW2ceNGHTt2zLHXzsrK0rp168o+l1OZuwkANQlxgd8xxqhevXpV+mzLxV43ISFBERERys7O1pYtWxxZvZy9m8DRo0fVpEkT9erVy4FpAd8iLsAVaNu2rTp06KDS0lLHrho7ffr0OXcTaNWqlQOTAr5FXIArEBQUpD59+kj6z6mxEydOVPk1d+3apa1bt8rtdlf5bgJATcHfYuAKnL3XWHh4uA4cOKCtW7dWafVi27bee+895eXl6brrrtPPf/5zB6cFfIe4AFfo+uuv1y233CKv16t33323SnEpKCjQO++8I0m677771LBhQ6fGBHyKuABXKDg4uOyqsXXr1lX61Jht29q5c6f+9a9/KTg42LG7CQA1AXEBrpAxRr1791ZERIT2799fpW+oXLlypYqLi9W+fXt17NjR0c/lAL5EXIBKuP7663XbbbeptLRU//M//1Op2/CfOHFCGRkZkqR+/fqpXr16To8J+AxxASohKChIAwYMkDFGGzZs0KFDh67oeNu2tXnzZu3du1cRERGO300A8DXiAlSCMUa9evVS48aN9cMPP2jNmjVXdGrMsiwtW7ZMpaWluv3223XjjTdW47TA1UdcgEpq3bq17rnnHtm2rSVLlqi4uLjCxx44cEDr16+XMUaDBg1SUFBQNU4KXH3EBagkl8ulYcOGKSAgQJ9//rm++OKLCq1ebNvWqlWrdOzYMTVr1ky9evXilBj8DnEBKskYo1/84hdq3769CgsLtXDhwgrFpaCgQEuWLJFt2+rVq5datmx5FaYFri7iAlRBRESEHnzwQRlj9M4772jv3r2XfL5t2/rHP/6hL7/8UsHBwRo+fDirFvgl4gJUgTFGAwcOVMuWLXXkyBHNnz//kpcle71ezZs3T6dPn9btt9+uzp07Exf4JeICVFGrVq2UlJQkSUpPT9eePXsueHrs7Cfy165dK7fbrd/85jcKCQm52uMCVwVxAarIGKNRo0apdevW+uGHHzR16lSVlpb+5HklJSWaNm2a8vPzddNNN6lPnz6sWuC3iAvggNatW+uJJ56Qy+XSX//6V2VkZJyzerFtW3/729/03nvvye126/HHH1dUVJTvBgaqGXEBHGCM0ciRI/WLX/xChYWFeuKJJ7Rz507Zti3btrVnzx6lpKSoqKhId999t37961+zaoFfIy6AQyIiIpSamqprrrlG+/bt04ABAzR//ny99dZb+vWvf61vv/1W0dHRmjx5ssLDw309LlCtAnw9AOAvjDG65ZZblJ6erhEjRmjv3r36zW9+I2OMLMtSgwYNNHPmTN1xxx2sWuD3WLkADjLG6J577tHq1as1ePBgNW/eXI0bN1ZCQoLefvttToehzmDlAr9h27b279+viIgIX4+iwMBAPfvss8rNzVVpaakaNmyowMBAff/99xU6/scff6zmCYHqRVzgNzp27KhPPvlEO3fu9PUoVdayZUvVr1/f12MAlWbsqnwBOFCD+ONfZU6hobZi5QK/wT/EQM3Bhj4AwHHEBQDgOOICVNCOHTtkjNGOHTt8PQpQ4xEXAIDjiAsAwHHEBQDgOOICAHAccQEAOI64AAAcR1wAAI4jLgAAxxEXAIDjiAsAwHHEBQDgOOICAHAccQEAOI64AAAcR1wAAI4jLgAAxxEXoAJs21Zubq4kKTc3V7Zt+3gioGYjLsAleDwepaWlKS4uTvHx8ZKk+Ph4xcXFKS0tTR6Px7cDAjWUsfkvGHBBa9euVf/+/VVYWChJ56xWjDGSpLCwMK1cuVI9e/b0yYxATUVcgAtYu3atevfuLdu2ZVnWRZ/ncrlkjFFGRgaBAcohLsB5PB6PWrVqpaKiokuG5SyXy6XQ0FBlZ2crKiqq+gcEagH2XIDzLFq0SIWFhRUKiyRZlqXCwkItXry4micDag9WLkA5tm0rLi5OmZmZV3RFmDFGMTEx2r17d9l+DFCXERegnGPHjik6OrpKxzdq1MjBiYDaidNiQDn5+flVOj4vL8+hSYDajbgA5YSHh1fp+IiICIcmAWo34gKU06hRI8XGxl7xvokxRrGxsWrYsGE1TQbULsQFKMcYo3HjxlXq2OTkZDbzgTPY0AfOw+dcgKpj5QKcJyoqSitXrpQxRi7Xpd8iZz+h//bbbxMWoBziAlxAz549lZGRodDQUBljfnK66+zPQkNDtXr1aiUkJPhoUqBmIi7ARfTs2VPZ2dlKTU1VTEzMOY/FxMQoNTVVBw8eJCzABbDnAlSAbdvauHGjevToofXr16t79+5s3gOXwMoFqABjTNmeSlRUFGEBLoO4AAAcR1wAAI4jLgAAxxEXAIDjiAsAwHHEBQDgOOICAHAccQEAOI64AAAcR1wAAI4jLgAAxxEXAIDjiAsAwHHEBQDgOOICAHAccQEAOI64AJdhWZZOnDihAwcOSJJycnJUUFDg46mAmo2vOQYu4tSpU9qwYYMWL16srVu36siRI8rPz1dkZKTatGmjhIQEJSUlqV27dnwzJXAe4gJcQGZmplJSUpSRkaEWLVqoe/fuuvXWW1W/fn0dP35c27Zt08aNG1VSUqIJEyYoOTlZYWFhvh4bqDGIC3Ceb775RomJicrKytL48eM1atQo1a9fXzt37pTX61VISIg6dOignJwcTZ8+Xenp6RoyZIimTZtGYIAziAtQzvHjx3X//fdr165dev3119WnTx+53W5lZmaqc+fO8ng8atOmjbZs2aKoqCh5vV4tWLBAKSkpevLJJ/Xss8/K5WIrEwjw9QBATTJ79mxt27ZNM2bMUN++fc8JRUlJibxer7xeryTJGKPAwECNHDlSWVlZmjFjhvr06aOOHTv6anygxuC/WMAZR44cUXp6urp06aKhQ4dWeAUSEBCg5ORkNWnSRPPmzRMnAwDiApTZunWrsrKyNGzYMIWEhKi0tPScX2fZtv2Txxo3bqwHHnhA69atk8fj8d0fAqghOC0GnLFz504FBQWpY8eOmjhxor7++uuyx4qKiso+23L48GENHjxYAQH/9/YZM2aM7rrrLs2cOVMHDx5UgwYNrvr8QE1CXIAzjhw5opCQEEVGRmrLli3avHnzBZ9XVFSk9evXn/Oz3r17q2vXrrIsi5ULIOIClAkODpZlWfJ6vXK5XD/Zc7Esq+z35z9mjNHp06clSYGBgdU/LFDDERfgjNjYWBUUFCg7O1tTpkxRbm5u2WM5OTlKTk5WQUGBmjZtqpkzZyo8PLzs8Xbt2unjjz9WSEiImjZt6ovxgRqFuABndO7cWUFBQVqzZo0mT558zuokMzOzbI8lLCxM8fHx5+yreL1erV69Wu3atVPz5s2v+uxATcPVYsAZ7du3V5cuXbRs2TLt2bOnwpcU27atLVu26KOPPlJiYqKCg4OreVKg5iMuwBnBwcGaOHGiPB6PJk6cqJMnT142MLZtKycnRykpKYqLi9PgwYOv0rRAzUZcgHK6deump556Sh9++KFGjx6tgwcPyrZtud1uNWvWTM2bN1eTJk3kcrlk27a+//57JSUlad++fZo+fTqXIANncG8x4DzFxcWaPHmypk6dqtatW2vMmDFKSEhQcHCw3G63SktLlZ+fr1WrVmnu3LkKDAzUnDlz1KNHD1+PDtQYxAW4gNLS0rKN/e3btys0NFTNmzdXvXr1lJeXp0OHDsntdqtfv36aNGmS2rZt6+uRgRqFuACXUFhYqG3btmnTpk367LPP9MEHH2jAgAGKj49Xt27d1LZtW7ndbl+PCdQ4xAWooB07dqhTp07avn07dz4GLoMNfQCA44gLAMBxxAUA4DjiAgBwHHEBADiOuAAAHEdcAACOIy4AAMcRFwCA44gLAMBxxAUA4DjiAgBwHHEBADiOuAAAHEdcAACOIy4AAMfxZWEAAMcF+HoAwAm2bSs3N1e5ubm+HsURLpdLrVq1UmBgoK9HASqFuMBvzJ07V999952aNGni61EqxbZtFRQUqF69evriiy80f/58tW7d2tdjAZVCXOA3LMvS2LFjddttt/l6lEpZt26dXnjhBaWmpsrr9cqyLF+PBFQacYHfMcb4eoQrYtu21q5dqxEjRujw4cN65plndN111/l6LKBKuFoM8CHLspSRkaGkpCQdPnxYN954oyZPnqzQ0FBfjwZUCXEBfMSyLL3//vt66KGHdOTIEd10001asWKF/uu//svXowFVRlwAH7AsS++++65GjhypY8eO6Wc/+5mWL1+um2++2dejAY4gLsBVZlmW3nrrLT3yyCM6fvy4OnTooBUrVqh9+/a1br8IuBjiAlxFlmVp+fLlevTRR5Wbm6uOHTtq+fLluuGGGwgL/ApxAa4Sy7K0ZMkSjRkzRh6PR7fffruWL1+uuLg4wgK/Q1yAq6C0tFRvvPGGxo4dqx9//FF33nmnli1bptjYWMICv0RcgGpWWlqqhQsXaty4cTp58qS6du2qpUuXqk2bNoQFfou4ANWotLRU8+fP1+OPP668vDzdfffdWrp0qa699lrCAr9GXIBq4vV6NWfOHE2YMEEFBQXq1q2blixZomuuuYawwO8RF6AaeL1ezZ49W0899ZQKCgrUo0cPvfnmm2rZsiVhQZ1AXACHeb1evfbaa5o4caIKCwuVkJCgN954Qy1atCAsqDOIC+CgkpISpaWladKkSSoqKtK9996rRYsWqVmzZoQFdQpxARxSUlKi6dOn69lnn1VxcbF69+6tRYsWqWnTpoQFdQ5xARxw+vRpTZ06Vc8995yKi4vVt29fpaenKzo6mrCgTuL7XIAqOn36tKZMmaIXX3xRJSUl6tevn+bOnatGjRoRFtRZxAWoguLiYr388st6+eWXVVJSov79+2vOnDlq0KABYUGdRlyASiouLtYf//hHvfLKK/J6vRo4cKBmz56tqKgowoI6j7gAlXDq1Ck9//zzevXVV+X1epWYmKhZs2YpMjKSsAAiLsAVKyoq0nPPPafU1FRZlqVhw4Zp5syZql+/PmEBziAuwBUoKirSM888o5kzZ8qyLD344INKS0tTREQEYQHKIS5ABdi2raKiIk2aNEmzZs2Sbdt66KGHNH36dIWHhxMW4Dx8zgW4DNu2VVhYqJSUFM2aNUuSNGrUKKWmphIW4CKIC3AJtm2roKBATz75pP7yl79IkkaPHq1XX31V9erVIyzARRAX4CJs21Z+fr7Gjx+vefPmSZLGjh2rV155RWFhYYQFuAT2XIALsG1beXl5euKJJ7Ro0SK5XC6NGzdOL730kkJCQggLcBmsXIDz2LatkydPaty4cWVhGT9+vF566SWFhoYSFqACWLkA5di2rR9//FGPPfaYlixZooCAAD355JP6wx/+oJCQEF+PB9QaxAU4w7ZteTwejRkzRitWrFBAQIBSUlL0+9//XsHBwb4eD6hViAug/4QlNzdXo0eP1ltvvaXAwEA9/fTT+t3vfkdYgEogLqjzbNvW8ePH9eijj+qdd95RYGCgnnnmGT399NMKCgry9XhArURcUKfZtq1jx47pkUce0fvvv6+goCA999xz+u1vf0tYgCogLqizbNvW0aNH9fDDD2v16tUKCgrS888/rwkTJigwMNDX4wG1GnFBnWTbtg4fPqyHHnpIa9asUUhIiF588UUlJycTFsABxAV1jm3bysnJ0YgRI/TRRx8pNDRUL7/8ssaOHauAAN4SgBN4J6FOsW1bhw4d0oMPPqgNGzYoLCxMU6ZM0ejRowkL4CDeTagzbNtWdna2hg8fro8//lj16tXTn/70Jz3yyCOEBXAY7yjUCbZtKysrS8OGDdOmTZsUHh6uadOm6eGHH5bb7fb1eIDfIS7we7Zta//+/Ro6dKg+/fRTRUREKDU1VUlJSYQFqCbEBX7Ntm3t3btXQ4YM0ZYtW1S/fn3NmDFDw4YNIyxANSIu8Fu2bWvPnj0aMmSItm7dqsjISM2aNUuJiYlyubghOFCdiAv8km3b2r17txITE7Vjxw5FRUVp9uzZGjhwIGEBrgLiAr9j27a+++47JSYm6ssvv1SDBg00Z84c9e/fn7AAVwlxgd/55ptvlJiYqH/+859q1KiR5s6dq379+hEW4Cri3Qa/smfPHg0aNEj//Oc/1bhxYy1YsICwAD7AygV+JTw8XM2aNdPRo0c1f/583XfffYQF8AHiAr9h27ZOnTqlZ599VgcOHFBsbKy+//57X49VKT/++KOvRwCqhLjAb3Ts2FGffPJJ2Upl165dPp6o8lq2bKn69ev7egyg0oxt27avhwCc4I9/lY0xvh4BqBRWLvAb/EMM1BzsdAIAHEdcAACOIy5ABe3YsUPGGO3YscPXowA1HnEBADiOuAAAHEdcAACOIy4AAMcRFwCA44gLAMBxxAUA4DjiAgBwHHEBADiOuAAAHEdcAACOIy4AAMcRFwCA44gLAMBxxAUA4DjiAgBwHHEBADiOuAAVYNu2cnNzJUm5ubmybdvHEwE1G3EBLsHj8SgtLU1xcXGKj4+XJMXHxysuLk5paWnyeDy+HRCooYzNf8GAC1q7dq369++vwsJCSTpntWKMkSSFhYVp5cqV6tmzp09mBGoq4gJcwNq1a9W7d2/Zti3Lsi76PJfLJWOMMjIyCAxQDnEBzuPxeNSqVSsVFRVdMixnuVwuhYaGKjs7W1FRUdU/IFALsOcCnGfRokUqLCysUFgkybIsFRYWavHixdU8GVB7sHIByrFtW3FxccrMzLyiK8KMMYqJidHu3bvL9mOAuoy4AOUcO3ZM0dHRVTq+UaNGDk4E1E6cFgPKyc/Pr9LxeXl5Dk0C1G7EBSgnPDy8SsdHREQ4NAlQuxEXoJxGjRopNjb2ivdNjDGKjY1Vw4YNq2kyoHYhLkA5xhiNGzeuUscmJyezmQ+cwYY+cB4+5wJUHSsX4DxRUVFauXKljDFyuS79Fjn7Cf23336bsADlEBfgAnr27KmMjAyFhobKGPOT011nfxYaGqrVq1crISHBR5MCNRNxAS6iZ8+eys7OVmpqqmJiYs55LCYmRqmpqTp48CBhAS6APRegAmzb1okTJ5SXl6eIiAg1bNiQzXvgEogLAMBxnBYDADiOuAAAHEdcAACOIy4AAMcRFwCA44gLAMBxxAUA4DjiAgBwHHEBADiOuAAAHEdcAACOIy4AAMcRFwCA44gLAMBx/x/WhRE0sy5RmwAAAABJRU5ErkJggg==\n", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.plot(beta=10)" - ] - }, - { - "cell_type": "markdown", - "id": "af370a4c", - "metadata": {}, - "source": [ - "### Case 2: 2D function \n", - "\n", - "$f(x,y)={\\rm exp}({\\rm sin}(\\pi x)+y^2)$. We know a [2,1,1] KAN represents it. Let's suppose we don't know about that and use a [2,3,3,3,1] KAN instead." - ] - }, - { - "cell_type": "markdown", - "id": "fdba8357", - "metadata": {}, - "source": [ - "without tricks" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "id": "5920bdaf", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 2.89e-02 | test loss: 5.20e-02 | reg: 6.29e+00 : 100%|██| 20/20 [00:15<00:00, 1.28it/s]\n" - ] - } - ], - "source": [ - "# create dataset f(x,y) = exp(sin(pi*x)+y^2)\n", - "f = lambda x: torch.exp(torch.sin(torch.pi*x[:,[0]]) + x[:,[1]]**2)\n", - "dataset = create_dataset(f, n_var=2)\n", - "\n", - "model = KAN(width=[2,3,3,3,1], grid=5, k=3, seed=0)\n", - "model.fit(dataset, opt=\"LBFGS\", steps=20, lamb=0.01);" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "id": "26af5d19", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model = model.prune(node_th=1e-1)\n", - "model.plot()" - ] - }, - { - "cell_type": "markdown", - "id": "ca1c5e86", - "metadata": {}, - "source": [ - "with tricks" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "id": "1f82e8c0", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 6.97e-02 | test loss: 7.00e-02 | reg: 1.72e+01 : 100%|██| 20/20 [00:07<00:00, 2.69it/s]\n" - ] - } - ], - "source": [ - "model.fit(dataset, opt=\"LBFGS\", steps=20, lamb=0.01, lamb_l1=0., lamb_entropy=0., lamb_coef=2.0);" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "id": "e09861b6", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.plot()" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "e3c92b0d", - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.7" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/tutorials/Example_12_unsupervised_learning.ipynb b/tutorials/Example_12_unsupervised_learning.ipynb deleted file mode 100644 index c2baacef..00000000 --- a/tutorials/Example_12_unsupervised_learning.ipynb +++ /dev/null @@ -1,324 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "5d904dee", - "metadata": {}, - "source": [ - "# Example 12: Unsupervised learning" - ] - }, - { - "cell_type": "markdown", - "id": "6465ec94", - "metadata": {}, - "source": [ - "In this example, we will use KAN for unsupervised learning. Instead of trying to figure out how a target variable $y$ depends on input variables, we treat all variables on the equal footing (as input variables). Below we contruct a synthetic dataset where we have six variables $x_1, x_2, x_3, x_4, x_5, x_6$. $(x_1, x_2, x_3)$ are dependent such that $x_3={\\rm exp}({\\rm sin}(\\pi x_1)+x_2^2)$; $(x_4,x_5)$ are dependent such that $x_5=x_4^3$. And $x_6$ is independent of all other variables. Can we use KANs to discover these dependent groups?\n", - "\n", - "The idea is that we treat the problem as a classification problem. The dataset that satisfies these interdependent relations are 'positive' samples, while corrupted samples (by random permutation of features across samples) are 'negative' samples. We want to train a KAN to output 1 when it is a positive sample, and output 0 when it is a negative sample. We set the last layer activation to be Gaussian, so positive samples will have zero activation in the second to last layer, while negtive samples will have non-zero activation in the second to last layer. We can then define the relation implicitly as $g=0$ where $g$ is the activation in the second to last layer." - ] - }, - { - "cell_type": "markdown", - "id": "94056ef6", - "metadata": {}, - "source": [ - "Intialize model and create dataset" - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "id": "0a59179d", - "metadata": {}, - "outputs": [], - "source": [ - "from kan import KAN\n", - "import torch\n", - "import copy\n", - "\n", - "\n", - "seed = 1\n", - "\n", - "model = KAN(width=[6,1,1], grid=3, k=3, seed=seed)\n", - "\n", - "# create dataset\n", - "\n", - "\n", - "def create_dataset(train_num=500, test_num=500):\n", - " \n", - " def generate_contrastive(x):\n", - " # positive samples\n", - " batch = x.shape[0]\n", - " x[:,2] = torch.exp(torch.sin(torch.pi*x[:,0])+x[:,1]**2)\n", - " x[:,3] = x[:,4]**3\n", - "\n", - " # negative samples\n", - " def corrupt(tensor):\n", - " y = copy.deepcopy(tensor)\n", - " for i in range(y.shape[1]):\n", - " y[:,i] = y[:,i][torch.randperm(y.shape[0])]\n", - " return y\n", - "\n", - " x_cor = corrupt(x)\n", - " x = torch.cat([x, x_cor], dim=0)\n", - " y = torch.cat([torch.ones(batch,), torch.zeros(batch,)], dim=0)[:,None]\n", - " return x, y\n", - " \n", - " x = torch.rand(train_num, 6) * 2 - 1\n", - " x_train, y_train = generate_contrastive(x)\n", - " \n", - " x = torch.rand(test_num, 6) * 2 - 1\n", - " x_test, y_test = generate_contrastive(x)\n", - " \n", - " dataset = {}\n", - " dataset['train_input'] = x_train\n", - " dataset['test_input'] = x_test\n", - " dataset['train_label'] = y_train\n", - " dataset['test_label'] = y_test\n", - " return dataset\n", - "\n", - "dataset = create_dataset()" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "id": "79665292", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model(dataset['train_input'])\n", - "model.plot(beta=10)" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "id": "45760ca2", - "metadata": {}, - "outputs": [], - "source": [ - "# set the (1,0,0) activation to be gausssian\n", - "#model.fix_symbolic(1,0,0,lambda x: torch.exp(-x**2/10),fit_params_bool=False)\n", - "model.fix_symbolic(1,0,0,'gaussian',fit_params_bool=False)" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "id": "d951ae17", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model(dataset['train_input'])\n", - "model.plot(beta=10)" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "id": "aa26622b", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 1.82e-01 | test loss: 1.80e-01 | reg: 3.61e+01 : 100%|██| 50/50 [00:14<00:00, 3.37it/s]\n" - ] - } - ], - "source": [ - "model.fit(dataset, opt=\"LBFGS\", steps=50, lamb=0.002, lamb_entropy=10.0, lamb_coef=1.0);" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "id": "9d162e40", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.plot(in_vars=[r'$x_{}$'.format(i) for i in range(1,7)])" - ] - }, - { - "cell_type": "markdown", - "id": "b239996d", - "metadata": {}, - "source": [ - "This gives the dependence among $(x_4,x_5)$. Another random seed can give dependence among $(x_1,x_2,x_3)$." - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "id": "e3c31cf5", - "metadata": {}, - "outputs": [], - "source": [ - "seed = 6\n", - "model = KAN(width=[6,1,1], grid=3, k=3, seed=seed)\n", - "dataset = create_dataset()" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "id": "e1d5046a", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model(dataset['train_input'])\n", - "model.plot(beta=10)" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "id": "52ec328b", - "metadata": {}, - "outputs": [], - "source": [ - "# set the (1,0,0) activation to be gausssian\n", - "#model.fix_symbolic(1,0,0,lambda x: torch.exp(-x**2/10),fit_params_bool=False)\n", - "model.fix_symbolic(1,0,0,'gaussian',fit_params_bool=False)" - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "id": "79fff8e1", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model(dataset['train_input'])\n", - "model.plot(beta=10)" - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "id": "818d76e2", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 2.11e-01 | test loss: 2.35e-01 | reg: 7.55e+00 : 100%|█| 100/100 [00:14<00:00, 6.75it/s\n" - ] - } - ], - "source": [ - "model.fit(dataset, opt=\"LBFGS\", steps=100, lamb=0.01, lamb_coef=1.0);" - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "id": "c5cb7884", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.plot(in_vars=[r'$x_{}$'.format(i) for i in range(1,7)])" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "6b5975f8", - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.7" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/tutorials/Example_13_phase_transition.ipynb b/tutorials/Example_13_phase_transition.ipynb deleted file mode 100644 index 8637e54e..00000000 --- a/tutorials/Example_13_phase_transition.ipynb +++ /dev/null @@ -1,192 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "5d904dee", - "metadata": {}, - "source": [ - "# Example 13: Phase transition" - ] - }, - { - "cell_type": "markdown", - "id": "6465ec94", - "metadata": {}, - "source": [ - "In this example, we will use KAN to learn phase transitions in data. Phase transition is an important concept in science. We consider a toy example $f(x_1,x_2,x_3)$ is 1 if $g(x_1,x_2,x_3)>0$, and is 0 if $g(x_1,x_2,x_3)<0$. $g(x_1,x_2,x_3)={\\rm sin}(\\pi x_1)+{\\rm cos}(\\pi x_2)+{\\rm tan}(\\frac{\\pi}{2}x_3)$." - ] - }, - { - "cell_type": "markdown", - "id": "94056ef6", - "metadata": {}, - "source": [ - "Intialize model and create dataset" - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "id": "0a59179d", - "metadata": {}, - "outputs": [], - "source": [ - "from kan import KAN, create_dataset\n", - "import torch\n", - "\n", - "\n", - "model = KAN(width=[3,1,1], grid=3, k=3)\n", - "\n", - "# create dataset\n", - "f = lambda x: (torch.sin(torch.pi*x[:,[0]]) + torch.cos(torch.pi*x[:,[1]]) + torch.tan(torch.pi/2*x[:,[2]]) > 0).float()\n", - "dataset = create_dataset(f, n_var=3)\n" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "id": "3837440b", - "metadata": { - "scrolled": true - }, - "outputs": [ - { - "data": { - "text/plain": [ - "tensor(0.5060)" - ] - }, - "execution_count": 2, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "torch.mean(dataset['train_label'])" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "id": "fe38f7c5", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model(dataset['train_input'])\n", - "model.plot(beta=10)" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "id": "8627b850", - "metadata": {}, - "outputs": [], - "source": [ - "# set the last activation to be tanh\n", - "model.fix_symbolic(1,0,0,'tanh',fit_params_bool=False)" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "id": "3957140b", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model(dataset['train_input'])\n", - "model.plot(beta=10)" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "id": "be0b0daf", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 6.31e-02 | test loss: 1.04e-01 | reg: 2.23e+02 : 100%|██| 50/50 [00:05<00:00, 8.77it/s]\n" - ] - } - ], - "source": [ - "model.fit(dataset, opt=\"LBFGS\", steps=50);" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "id": "2f9b37a8", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.plot(beta=10)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "d6d85bda", - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.7" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/tutorials/Example_14_knot_supervised.ipynb b/tutorials/Example_14_knot_supervised.ipynb deleted file mode 100644 index 2cd85919..00000000 --- a/tutorials/Example_14_knot_supervised.ipynb +++ /dev/null @@ -1,188 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": 1, - "id": "0893a344", - "metadata": {}, - "outputs": [], - "source": [ - "import pandas as pd\n", - "import numpy as np\n", - "import torch\n", - "from kan import *\n", - "import copy\n", - "\n", - "\n", - "seed = 42\n", - "torch.manual_seed(seed)\n", - "np.random.seed(seed)\n", - "\n", - "# Download data: https://colab.research.google.com/github/deepmind/mathematics_conjectures/blob/main/knot_theory.ipynb#scrollTo=l10N2ZbHu6Ob\n", - "df = pd.read_csv(\"./knot_data.csv\")\n", - "df.keys()\n", - "\n", - "X = df[df.keys()[1:-1]].to_numpy()\n", - "Y = df[['signature']].to_numpy()\n", - "\n", - "# normalize X\n", - "X_mean = np.mean(X, axis=0)\n", - "X_std = np.std(X, axis=0)\n", - "X = (X - X_mean[np.newaxis,:])/X_std[np.newaxis,:]\n", - "input_normalier = [X_mean, X_std]\n", - "\n", - "# normalize Y\n", - "max_signature = np.max(Y)\n", - "min_signature = np.min(Y)\n", - "Y = ((Y-min_signature)/2).astype(int)\n", - "n_class = int((max_signature-min_signature)/2+1)\n", - "output_normalier = [min_signature, 2]\n", - "\n", - "dataset = {}\n", - "num = X.shape[0]\n", - "n_feature = X.shape[1]\n", - "train_ratio = 0.8\n", - "train_id_ = np.random.choice(num, int(num*train_ratio), replace=False)\n", - "test_id_ = np.array(list(set(range(num))-set(train_id_)))\n", - "\n", - "dtype = torch.get_default_dtype()\n", - "dataset['train_input'] = torch.from_numpy(X[train_id_]).type(dtype)\n", - "dataset['train_label'] = torch.from_numpy(Y[train_id_][:,0]).type(torch.long)\n", - "dataset['test_input'] = torch.from_numpy(X[test_id_]).type(dtype)\n", - "dataset['test_label'] = torch.from_numpy(Y[test_id_][:,0]).type(torch.long)\n" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "id": "e262aeca", - "metadata": { - "scrolled": true - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "checkpoint directory created: ./model\n", - "saving model version 0.0\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - " train_loss: 7.68e-01 | reg: 3.85e+01 | train_acc: 7.62e-01 | test_acc: 7.66e-01 |: 100%|█| 100/100 " - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "saving model version 0.1\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "\n" - ] - } - ], - "source": [ - "def train_acc():\n", - " return torch.mean((torch.argmax(model(dataset['train_input']), dim=1) == dataset['train_label']).float())\n", - "\n", - "def test_acc():\n", - " return torch.mean((torch.argmax(model(dataset['test_input']), dim=1) == dataset['test_label']).float())\n", - "\n", - "model = KAN(width=[n_feature,1,n_class], grid=5, k=3, seed=seed)\n", - "model.fit(dataset, lamb=0.005, batch=1024, loss_fn = nn.CrossEntropyLoss(), metrics=[train_acc, test_acc], display_metrics=['train_loss', 'reg', 'train_acc', 'test_acc']);" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "id": "2254d060", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.plot(scale=1.0, beta=0.2)\n", - "\n", - "n = 17\n", - "for i in range(n):\n", - " plt.gcf().get_axes()[0].text(1/(2*n)+i/n-0.005,-0.02,df.keys()[1:-1][i], rotation=270, rotation_mode=\"anchor\")" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "id": "54778a24", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "Text(0, 0.5, 'feature importance')" - ] - }, - "execution_count": 6, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "scores = model.feature_score\n", - "features = list(df.keys()[1:-1])\n", - "\n", - "y_pos = range(len(features))\n", - "plt.bar(y_pos, scores)\n", - "plt.xticks(y_pos, features, rotation=90);\n", - "plt.ylabel('feature importance')" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.7" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/tutorials/Example_15_knot_unsupervised.ipynb b/tutorials/Example_15_knot_unsupervised.ipynb deleted file mode 100644 index ca9b7175..00000000 --- a/tutorials/Example_15_knot_unsupervised.ipynb +++ /dev/null @@ -1,163 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": 29, - "id": "0893a344", - "metadata": {}, - "outputs": [], - "source": [ - "import pandas as pd\n", - "import numpy as np\n", - "import torch\n", - "from kan import *\n", - "import copy\n", - "\n", - "\n", - "seed = 2024\n", - "torch.manual_seed(seed)\n", - "np.random.seed(seed)\n", - "\n", - "dtype = torch.get_default_dtype()\n", - "\n", - "# Download data: https://colab.research.google.com/github/deepmind/mathematics_conjectures/blob/main/knot_theory.ipynb#scrollTo=l10N2ZbHu6Ob\n", - "df = pd.read_csv(\"./knot_data.csv\")\n", - "df.keys()\n", - "\n", - "X = df[df.keys()[1:]].to_numpy()\n", - "mean = np.mean(X, axis=0)\n", - "std = np.std(X, axis=0)\n", - "X = (X - mean[np.newaxis,:])/std[np.newaxis,:]\n", - "\n", - "# normalize X\n", - "X_mean = np.mean(X, axis=0)\n", - "X_std = np.std(X, axis=0)\n", - "X = (X - X_mean[np.newaxis,:])/X_std[np.newaxis,:]\n", - "input_normalier = [X_mean, X_std]\n", - "\n", - "dataset = {}\n", - "num = X.shape[0]\n", - "n_feature = X.shape[1]\n", - "train_ratio = 0.8\n", - "train_id_ = np.random.choice(num, int(num*train_ratio), replace=False)\n", - "test_id_ = np.array(list(set(range(num))-set(train_id_)))\n", - "dataset['train_input'] = torch.from_numpy(X[train_id_]).type(dtype)\n", - "dataset['test_input'] = torch.from_numpy(X[test_id_]).type(dtype)\n", - "\n", - "def construct_contrastive_dataset(tensor):\n", - " y = copy.deepcopy(tensor)\n", - " for i in range(y.shape[1]):\n", - " y[:,i] = y[:,i][torch.randperm(y.shape[0])]\n", - " return y\n", - "\n", - "dataset['contrastive_train_input'] = construct_contrastive_dataset(dataset['train_input'])\n", - "dataset['contrastive_test_input'] = construct_contrastive_dataset(dataset['test_input'])\n", - "\n", - "dataset['train_label'] = torch.cat([torch.ones(dataset['train_input'].shape[0],1), torch.zeros(dataset['contrastive_train_input'].shape[0],1)], dim=0)\n", - "dataset['train_input'] = torch.cat([dataset['train_input'], dataset['contrastive_train_input']], dim=0)\n", - "\n", - "dataset['test_label'] = torch.cat([torch.ones(dataset['test_input'].shape[0],1), torch.zeros(dataset['contrastive_test_input'].shape[0],1)], dim=0)\n", - "dataset['test_input'] = torch.cat([dataset['test_input'], dataset['contrastive_test_input']], dim=0)\n" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "e262aeca", - "metadata": { - "scrolled": true - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "checkpoint directory created: ./model\n", - "saving model version 0.0\n", - "saving model version 0.1\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - " train_loss: 1.70e-01 | reg: 1.34e+01 | train_acc: 9.68e-01 | test_acc: 9.69e-01 |: 74%|▋| 74/100 [" - ] - } - ], - "source": [ - "def train_acc():\n", - " return torch.mean(((model(dataset['train_input']) > 0.5) == dataset['train_label']).float())\n", - "\n", - "def test_acc():\n", - " return torch.mean(((model(dataset['test_input']) > 0.5) == dataset['test_label']).float())\n", - "\n", - "model = KAN(width=[n_feature,1,1], grid=5, k=3, seed=seed)\n", - "model.fix_symbolic(1,0,0,'gaussian',fit_params_bool=False)\n", - "model.fit(dataset, lamb=0.001, batch=1024, metrics=[train_acc, test_acc], display_metrics=['train_loss', 'reg', 'train_acc', 'test_acc']);" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "1ede24f0", - "metadata": {}, - "outputs": [], - "source": [ - "# seed = 2024\n", - "model.plot(scale=1.0)\n", - "\n", - "n = 18\n", - "for i in range(n):\n", - " plt.gcf().get_axes()[0].text(1/(2*n)+i/n-0.005,-0.02,df.keys()[1:][i], rotation=270, rotation_mode=\"anchor\")" - ] - }, - { - "cell_type": "code", - "execution_count": 25, - "id": "a3fb6b7a", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "# seed = 0\n", - "model.plot(scale=1.0)\n", - "\n", - "n = 18\n", - "for i in range(n):\n", - " plt.gcf().get_axes()[0].text(1/(2*n)+i/n-0.005,-0.02,df.keys()[1:][i], rotation=270, rotation_mode=\"anchor\")" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.7" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/tutorials/Example_1_function_fitting.ipynb b/tutorials/Example_1_function_fitting.ipynb deleted file mode 100644 index 86e59806..00000000 --- a/tutorials/Example_1_function_fitting.ipynb +++ /dev/null @@ -1,288 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "5d904dee", - "metadata": {}, - "source": [ - "# Example 1: Function Fitting\n", - "\n", - "In this example, we will cover how to leverage grid refinement to maximimze KANs' ability to fit functions" - ] - }, - { - "cell_type": "markdown", - "id": "94056ef6", - "metadata": {}, - "source": [ - "intialize model and create dataset" - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "id": "0a59179d", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Directory already exists: ./model\n" - ] - } - ], - "source": [ - "from kan import *\n", - "\n", - "seed = 1\n", - "torch.manual_seed(seed)\n", - "\n", - "# initialize KAN with G=3\n", - "model = KAN(width=[2,1,1], grid=3, k=3, seed=1)\n", - "\n", - "# create dataset\n", - "f = lambda x: torch.exp(torch.sin(torch.pi*x[:,[0]]) + x[:,[1]]**2)\n", - "dataset = create_dataset(f, n_var=2)" - ] - }, - { - "cell_type": "markdown", - "id": "cb1f817e", - "metadata": {}, - "source": [ - "Train KAN (grid=3)" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "id": "a87b97b0", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 1.46e-02 | test loss: 1.53e-02 | reg: 5.15e+00 : 100%|██| 20/20 [00:04<00:00, 4.78it/s]\n" - ] - } - ], - "source": [ - "model.fit(dataset, opt=\"LBFGS\", steps=20);" - ] - }, - { - "cell_type": "markdown", - "id": "52294efd", - "metadata": {}, - "source": [ - "The loss plateaus. we want a more fine-grained KAN!" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "id": "3f1cfc9d", - "metadata": {}, - "outputs": [], - "source": [ - "# initialize a more fine-grained KAN with G=10\n", - "model = model.refine(10)" - ] - }, - { - "cell_type": "markdown", - "id": "f3cc5079", - "metadata": {}, - "source": [ - "Train KAN (grid=10)" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "id": "898b1794", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 2.93e-04 | test loss: 3.16e-04 | reg: 5.15e+00 : 100%|██| 20/20 [00:04<00:00, 4.92it/s]\n" - ] - } - ], - "source": [ - "model.fit(dataset, opt=\"LBFGS\", steps=20);" - ] - }, - { - "cell_type": "markdown", - "id": "bcdc0d3d", - "metadata": {}, - "source": [ - "The loss becomes lower. This is good! Now we can even iteratively making grids finer." - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "id": "a1c25e8a", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Directory already exists: ./model\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 1.44e-02 | test loss: 1.51e-02 | reg: 6.29e+00 : 100%|██| 50/50 [00:09<00:00, 5.17it/s]\n", - "train loss: 2.73e-04 | test loss: 3.15e-04 | reg: 6.31e+00 : 100%|██| 50/50 [00:05<00:00, 8.56it/s]\n", - "train loss: 1.63e-05 | test loss: 2.15e-05 | reg: 6.31e+00 : 100%|██| 50/50 [00:07<00:00, 6.42it/s]\n", - "train loss: 1.46e-06 | test loss: 4.63e-06 | reg: 6.31e+00 : 100%|██| 50/50 [00:12<00:00, 3.92it/s]\n", - "train loss: 1.06e+00 | test loss: 1.63e+00 | reg: 5.62e+00 : 100%|██| 50/50 [00:36<00:00, 1.37it/s]\n" - ] - } - ], - "source": [ - "grids = np.array([3,10,20,50,100])\n", - "\n", - "seed = 2\n", - "torch.manual_seed(seed)\n", - "\n", - "train_losses = []\n", - "test_losses = []\n", - "steps = 50\n", - "k = 3\n", - "\n", - "for i in range(grids.shape[0]):\n", - " if i == 0:\n", - " model = KAN(width=[2,1,1], grid=grids[i], k=k, seed=seed)\n", - " if i != 0:\n", - " model = model.refine(grids[i])\n", - " results = model.fit(dataset, opt=\"LBFGS\", steps=steps)\n", - " train_losses += results['train_loss']\n", - " test_losses += results['test_loss']\n", - " " - ] - }, - { - "cell_type": "markdown", - "id": "6be8ba55", - "metadata": {}, - "source": [ - "Training dynamics of losses display staircase structures (loss suddenly drops after grid refinement)" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "id": "156f68a2", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "plt.plot(train_losses)\n", - "plt.plot(test_losses)\n", - "plt.legend(['train', 'test'])\n", - "plt.ylabel('RMSE')\n", - "plt.xlabel('step')\n", - "plt.yscale('log')" - ] - }, - { - "cell_type": "markdown", - "id": "6ed8d26b", - "metadata": {}, - "source": [ - "Neural scaling laws" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "id": "8301085c", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "Text(0, 0.5, 'RMSE')" - ] - }, - "execution_count": 9, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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BOgOc64OLN2vvzx3Uy7ciRkZFe+6gh0kQKsVatmyJSqVi5cqVObYvWrQIJyenXJ9nzJgxzJgxQ9/lCSGEKKoUBYJ/0T72G8jtxHT2XrgNQK8ivqTGfxWPnkxC7xRFITQ0FBcXF9auXUu/fv10+4KDg/Hz89M99/f3Jz09/ZFz/PPPPxw7doxatWpRq1YtDh48WCi1CyGEMLCbwRATBiYWUK8vG4IiUWsUfNwcqFHextDV5UmpCEK9evViz549tGvXjjVr1hi6nCLh4sWLJCYm8uWXXzJ27FhSUlKwsrICICgoKMdtrqCgoCee5/Dhw/zxxx+sXr2apKQkMjMzsbOzY9KkSQX+HoQQQhhIyP3WIM8eYOlAYPApAPoUs9YgKCW3xkaMGMEvv/xi6DKKlKCgICwsLHjrrbews7Njy5YtAKSnp3PmzJkcLUJPM2PGDK5fv87Vq1eZM2cOQ4YMkRAkhBAlWUYynFqrfew7gHPRCZyJTMDUWMWL9V0NW9tzKBUtQm3atGHPnj2Fdr3k5OQn7jM2NsbCwiJXxxoZGWFpafnMY62trfNcY3BwMPXr18fMzIxevXqxZs0a+vTpw8mTJ8nMzMTf3z/P5xRCCFEKnFkPGYngWB2qNmfdlnMAtPVwooy1mWFrew4GbxHat28f3bp1w9XVFZVKxfr16x85ZtGiRVSrVg0LCwv8/f3Zv39/4ReaBzY2Nk/86tOnT45jnZycnnhsly5dchxbtWrVxx73PIKCgnStPr179+bvv/8mPT2doKAgHB0dqVq1ap7POXjwYObMmfNc9QghhCgmsjtJ+76OWkG3tlhxmjvoYQYPQsnJyXh7e/PNN988dv+qVasYNWoUEydOJCQkhBYtWtClSxciIiJ0x/j7++Pl5fXIV2RkZGG9jWInJCRE1+rTunVrzMzM2LZtG8HBwfj6+hq4OiGEEEXS7Qtw/TCojMC7PwfCY4lJTMfBypQ2tXM/2rgoMfitsS5dujzS8vGwefPm8eabb/LWW28BsGDBArZt28bixYt1Q7af1pk3r9LT03OMkEpISMjzOZKSkp64z9jYOMfzmJiYJx5rZJQzp169ejXPtTzO5cuXiYuL07UImZiY0K1bN9auXcvp06dp3769Xq4jhBCihAm5P5N0zU5g50Lg5hAAunu7YmZi8LaV52LwIPQ0GRkZBAUF8dFHH+XY3rFjxwIbqj1jxgymTp2ar3Pkpc9OQR37NEFBQZiZmeHl5aXb1qdPHwYMGEBKSgrjxo3Ty3WEEEKUIOpMOHF/3jm/ASSlZ7H1TDRQfFaaf5wiHd9iY2NRq9VUqJBzBdsKFSoQHR2d6/N06tSJvn37snnzZipVqsSxY8eeeOzHH39MfHy87uv69evPXX9RFRwcjJeXF2ZmDzq1dejQAbVaTUZGRq5HjAkhhChFLmyF5NtgUwFqdmTLqSjSMjXUKG9N/Ur2hq7uuRXpFqFsKlXOqboVRXlk29Ns27Yt18eam5tjbm6e6+OLoxkzZjwyE7S5uflz3QYUQghRSmR3kvbuB8amBAY/6CSdl8/koqZItwiVK1cOY2PjR1p/YmJiHmklEkIIIUQBib8J4Tu0j30HcONeCocu30Glgp6+xW8SxYcV6SBkZmaGv78/27dvz7F9+/btBAQEGKgqIYQQopQJXQGKBqo0g3LurL8/ZL5p9bJUdLB8xouLNoPfGktKSiI8PFz3/MqVK4SGhuLo6EjlypUZPXo0AwYMoEGDBjRt2pQlS5YQERHBu+++a8CqhRBCiFJCo3kwWsx3AIqi5LgtVtwZPAgdP36cNm3a6J6PHj0agEGDBrFs2TJeeeUV7ty5w2effUZUVBReXl5s3ryZKlWqGKpkIYQQovS4uh/iroG5HXj2IPR6HJdjk7E0Naazl7Ohq8s3gweh1q1boyjKU48ZOnQoQ4cOLaSKhBBCCKGT3Um63ktgZkVg8GUAOns5Y2Nu8BiRb0W6j1Bx8awgJ55O/vyEEKKISrkLZzdqH/sOID1LzcaT2lUbehfDleYfR4JQPmTPEp2RkWHgSoq3lJQUAExNTQ1ciRBCiBxOrQZ1OlSoB66+7D53m7iUTCrYmRNQo5yhq9OL4t+mZUAmJiZYWVlx+/ZtTE1NH1kSQzydoiikpKQQExODg4PDI8uPCCGEMCBFeXBbzG8AqFQEBt8AtEPmjY2K79xBD5MglA8qlQoXFxeuXLnCtWvXDF1OseXg4ICzc/HvcCeEECVKZAjcOg3G5lCvL3eTM9h9Xrs+Zm/f4j9aLJsEoXwyMzOjZs2acnvsOZmamkpLkBBCFEXZQ+brdAMrRzYdukqmWsGroh21nW0NW5seSRDSAyMjIywsLAxdhhBCCKEfGSlwao32sd9AANbenzuoOC+w+jjSqUUIIYQQOYX9BekJ4FAFqrYgPCaJE9fjMDFS0c3b1dDV6ZUEISGEEELk9NBM0hgZsS5E20m6de3ylLMpWQuTSxASQgghxAOx4XDtAKiMwKc/Go3CuhK0pMZ/SRASQgghxAPZrUHu7cG+Iocv3yEyPg07CxPaejgZtrYCIEFICCGEEFrqTDixUvv4P52kX/R2xcK05I3ylSAkhBBCCK2L/0DSLbAuD7U6k5KRxZbTUQD0KSFLavyXBCEhhBBCaAXfvy3m/SoYm7LtTDQpGWqqlLXCr3IZw9ZWQCQICSGEEAISouDiNu1jX+1tscDsTtK+lVCpSsaSGv8lQUgIIYQQcGIFKBpwawLlaxEdn8a/4bEA9PItmbfFQIKQEEIIITSaB7fF7neSXh96E0WBRlUdqVzWyoDFFSwJQkIIIURpd+0A3LsCZrZQtyeKorA2SDuJYu8S2kk6mwQhIYQQorTLnjuoXh8ws+ZMZAIXY5IwNzGia30Xw9ZWwCQICSGEEKVZapx2bTHQdZJeG6xtDepY1xk7C1MDFVY4JAgJIYQQpdmp1ZCVBk6eUNGPTLWGDaGRQMm/LQYShIQQQojSLfgX7Xe/gaBSsff8be4kZ1DOxpwW7uUMW1shMDF0AaWROiuLc0e2kXrvJpZlKuLRuBPGJvJXIYQQopBFnYDok2BsBvVfASDw/krzPX1cMTEu+e0l8ulbyEK2Lcf10FTqcke37db2skQ2nYxvp0EGrEwIIUSpkz1k3uNFsHIkPiWTHWExQMlcaf5xJAgVopBty/E+OEL75KEJOssrdyh/cAQhIGFICCFE4chMhZN/ah/7DQBg06lIMtQaPJxt8XS1M2Bxhafkt3kVEeqsLFwPTQXA6H4I2n4piwt31LrnLoemos7KMlCFQgghSpWzGyE9HuwrQ7XWwIMlNfqUktYgkCBUaM4d2UYF7uhCT2K6wsD1qdRdlMyILWncS9XgzB3OHdlm2EKFEEKUDtmdpH1fByMjrsYmE3TtHkYq6OHjatjaCpEEoUKSeu9mjueJGQoNXI3J0sDXRzOo8VUScw6mk3Vpr4EqFEIIUWrcuQRX9wMq8OkPQGCI9nOqRc3yONlZGLC4wiVBqJBYlsk5F4OrrREb+1mxc6AVPs5GxKfD2O3p9Bo5hz/e8UI5HQhquU0mhBCiAIT8pv3u3g4c3NBoFAKDS8eSGv8lQaiQeDTuxC3KolFybm9bzYTjQ6z5sbsFLrZGXIlT6LfkDKe+HYj6K184vBjSEw1TtBBCiJJHnQWhK7SPfbWdpI9fu8eNe6nYmJvQ0dPZgMUVPglChcTYxITIppMBHglDKpWKwT5mTP3yS2q1e4WmPjWp5GSPcXwEbP2I+OkesH0SxN98zJmFEEKIPAjfAUnRYFUWancF0LUGda3njKWZsSGrK3QShAqRb6dBnAj4ituqsjm2x6jKciLgK4YMHcvpbSsY//Nu/ldmGRMz/8feu+WoPDOScVNmcm+GF6wdop0ASwghhHge2Z2kvfuBiRlpmWr+PhkFlK7RYtlUiqIozz6s9EpISMDe3p74+Hjs7PQzp0JuZpZWFIX9F2MZ8dGnnFj3PQBlLVVMaW3OO/6mmNRoiSpgOLh3ACPJs0IIIXIh8RbMqwOKGoYeAScPNp6IZPjKECqVsWTf2DYYGamefZ5iILef3zKhogEYm5hQt9kLTz1GpVLRslZ5QtYuZvGv7fjk4/HcibzC8C1pfHM0g1kddtHtyj4o74Gq6VCo/yqYlp5e/kIIIZ7DiRXaEFSpETh5AA9ui/X2rVhiQlBeSFNCEadSqRg6sC8x1y7wxeyFWNk7cv6Ohh5/pNJlZTrcPgcbR6LMrwt7voTkWEOXLIQQoihSlAejxe7PJB2TmMa+i9rPjV6l8LYYSBAqNkxMTJgwZgRREVcY9eFYTEzNCHPtybSs17mhlEOVEgt7ZmgD0caRcPuCoUsWQghRlEQcgjvhYGYDdXsDsCE0ErVGwa+yA9XKWRu4QMOQIFTM2NnZMX/OLC6FXyQocAlVXhzHa5bf0edSd97eaUlySioELYNvG8KKV+DKPu1vAUIIIUq37E7SdXuBuQ0Aa+8vqVFaFlh9HAlCxVTlypUp72jPwKZV2f5hG04En+SHf29R7iuFD467kKkGLmyF5d1gSSvtwnrqTEOXLYQQwhDS4uHMeu1jv4EAhEUmcDYqATNjI16s72K42gxMglAJYGpizKzPJ+Pu7k56chIL/j5Pme9tGXehHqmKmXa4feAQlIXecGAhpMYZumQhhBCF6dQayEqF8h5QqSEA60K0naTb1XHCwcrMkNUZlAShEkClUtG7d2/OnDnD/PnzKVOmDMm3bzJ75QGcf6vImMj23FbsUSXchO2TtP2Itn4M964ZunQhhBCFIeRX7XffAaBSkaXWsD40Eijdt8VAglCJYmZmxqhRowgPD+eDDz7A1NSUhMsnuGzTkPaabxib+TbnNZVQZSTB4UUoX/nA6sFwI8jQpQshhCgo0acgMgSMTMH7VQD+DY/ldmI6jtZmtKpV3sAFGpYEoRLI0dGRefPmERYWxvjx41kzZxx7PuqMW9u36XH7ffonf8A+dT1UigbOrIOlbeGnznB2I2jUhi5fCCGEPgXfbw3y6ArW5QAIvN9Juru3K2YmpTsKyMzSz1AQM0sbSlJSEjVr1iRDo6Jcm0FUrVqJIaZb6W50ADPV/QDkWB2aDAWf/mBWOodSCiFEiZGZBnNrQ1ocvLYWarYnMS2TBtN2kJ6lYcP7zahfycHQVRaI3H5+l+4YWMpcvnwZMzMz7sZEcWHVl1zeuIR5CR1pnv4V32Z1J06xhruXYfMYmF8Xdn4GidGGLlsIIcTzOrdJG4LsKkGNNgBsORVNepaGmk421Ktob9j6igAJQqVI/fr1OXfuHDNmzMDW1pbwsJMc+moEFkEr2GHdg6bpXzMpcxDXNE6Qeg/2z0VZUA/WD4VbZwxdvhBCiLzKnjvI9zUw0q4qvzZ7SQ2/SqhUpW9Jjf+SW2PPUJJujT0sJiaGKVOmsGTJEtRqNaampmw9GMqmSxlsOnGDNhznLZO/aWj00AzV1dtAwPtQox3Ifx4hhCja7l6Br3wAFYw8AWWqcP1uCi1m7UalgoMftcXF3tLQVRYYWXRVPJWTkxOLFi1i+PDhjB07FltbW9o28KRtA/iwU21+3F+NQceaUCv9PG+Z/E0X42MYX94Nl3eDkyc0HQb1+oKJuaHfihBCiMcJ/V37vXprKFMFgHUh2k7SzWqUK9EhKC/k1lgpV6dOHTZt2sSyZct02zLjbrHqo5cZX+se7Tt0ZYr5WFqlz+OnrM6kYA4xYfDXMFhQD/bNhpS7hnsDQgghHqVRQ8j9IHR/gVVFUR6sNO9X0VCVFTkShAQA5uYPWnZmzZpFWFgYgwf0Z+Wng5nb2oqhPdvxq8N7NEn7hhmZ/YhWHCHpFuyaBvM84e8P4c4lA74DIYQQOuE7ITESLMuAx4sABEfEcfVOClZmxnSq62zgAosOCULiEbNmzWLy5MlYWVlx8OBBWrdozob54/ihV2Vmvd6Cw64DaJG+gFEZQzmjqaKdtv3YUvjaH/54Da4dlIVehRDCkELud5Ku/6quC0N2a1BnL2eszaVnTDYJQuIRNjY2TJkyhYsXL/LGG2+gUqlYtWoVdT3rcHjN96wfGsBvbzcnoVZvXsiYTr+MiexU+wKKdqjmz13gh7Zwei2oswz9doQQonRJioHzW7SP798WS89Ss/GEdkmNPqV8SY3/kiAknsjV1ZWffvqJ4OBg2rVrR0ZGBhqNBpVKRePqZflpcEO2jWqFq08n3lGPo136bFZktSEDU4gMhjX/g6984dC3kJ5o6LcjhBClw4k/QJMFFf2hQl0Adp2NISEtCxd7C5pUL2vgAosWGT7/DCV1+HxeKYrCli1baNmyJTY2NgAcPXqU6OhounXrRnRCGj/9e4WVR69jnn6HASbbGWSygzIkaE9gbgf+g6Dxu2Avv40IIUSBUBT4piHcuQjdFoL/YADeWn6cHWdv8V7rGozv7GHYGgtJbj+/JQg9gwShx9NoNDRp0oRjx47RunVr5s6di5+fH/Gpmaw4EsFPB66QkJhIb+P9vG26hWpom2QxMoG6vaDp++DqY9D3IIQQJU7EYfipE5hawYfnwcKOO0npNJ6+kyyNwvYPWlKzgq2hqywUssSGKFCZmZm0a9cOc3Nz9uzZQ4MGDRg8eDBJd2N4r3UN/h3fhs/6+HPEsTtt02bxRsZYDmnqaptrT62GJa1g2YtwfitoNIZ+O0IIUTJkL7BatxdYaD/8N56IJEujUL+SfakJQXkhQUg8F3Nzc2bMmMH58+fp378/iqKwfPlyatasyaRJk8hMS+WVhpXZ8UErvh/QkPhKbeiXMZEX0r9gvboZaozh6n5Y+Qp82wiO/wSZqYZ+W0IIUXylJcCZQO1jv4G6zYH3J1Hs7StzBz2OBCGRL1WqVOH333/nyJEjNG/enNTUVD7//HM2bNgAgJGRio51nQkc2ow17zbFxaMJozKH0SxtAd9lvUiyylp7L3vTB9qFXndPh6TbBn5XQghRDJ0JhMwUKFsT3BoDcPFWIidvxGNipKK7jwShx5EgJPSiUaNG7Nu3j7Vr19K3b19effVV3b5bt24B0KCqI0sHNWDH6Ja0bODNXOU1GqV+xWeZA4hWOUHKHdg7UxuINgyH2+cN9XaEEKL4yV5g1W+gbj3I7NagNh5OOFqbGaqyIk06Sz+DdJbOn+TkZGrWrIm3tzdz5syhbt26un23EtL46cAVVhyOICU9nc5Gx3jPfAteysUHJ3DvoF3otVorWehVCCGe5FYYLG6qHZAy+hzYlEetUWj25S6iE9L47nU/Onu5GLrKQiWdpUWR8O+//xIbG8vWrVupX78+77zzjq6FqIKdBR93qcOBj9syrktdjtu04sXUKfRJn8wOpREKKgjfDr/0gO9baOfGyMow8DsSQogiKOR+J+lancGmPACHLt0hOiENe0tT2ng4GbC4ok2CkChQnTp1IiwsjN69e6PRaFiyZAnu7u588cUXpKZqO0fbWZjyTqsa7BvXhlkveRNf3p+30kfROn0uv6o7kqGygOhTsO4dWOgN/86H1HsGfmdCCFFEZKXDiZXax36DdJuzl9To5u2CuYmxISorFuTW2DPIrTH92b9/Px9++CHHjh0DwM3NjZMnT+Lg4JDjOI1GYff5GL7fe5mjV+9iTxKvGe/gbYsdOKjvr3Rvaq2dOr7Je1CmauG+ESGEKEpOB8KaN8DWFT44DUbGJKdn0WDaDlIz1QQODcCvchlDV1no5NaYKHJatGjB4cOH+f3336lcuTIBAQGPhCDQjjRrV6cCf77blLXvBdCkbg0Wa3rSKHk+YzLf4apxVchMhiPfaZfw+HMgXD9W6O9HCCGKhOxO0r6vgZG25Wfr6WhSM9VUK2eNr5uD4WorBiQIiUJlZGRE//79OXfuHN98841u+7Vr13j55Ze5cOFCjuP9q5Th+wEN2DG6FX0aVWcDbWid/AWvZ3zMUWNfUDQQ9hf82B5+7AhhG0CjLuy3JYQQhnHvGlzeo33s85puc2CI9rZYb9+KqGSgyVNJEBIGYWlpSbly5XTPP/nkE1avXk3dunUZOXIkd+7cyXF8jfI2zOhdn3/Ht2Foa3dOmPnycvJYOqbPZIOqLWqVKVw/An8OgK/94Mj3kJ5U2G9LCCEKV+jvgKIdWetYDYDIuFQOXtL+DO0pkyg+kwQhUSR8/PHHdO3alaysLL766ivc3d2ZO3cu6enpOY5zsrNgXGcPDn3cjk9eqEOiXU1GpL5Fk9SFfK/0IsXYDu5dhS3jtPMR7ZgCCVEGeU9CCFGgNGoI+V37+KGZpNeH3kRRoHE1R9wcrQxUXPEhQUgUCZ6envz9999s376d+vXrExcXx5gxY/D09GTdunWPHG9jbsJbLaqzd2wb5vb1pkyFSsxI74t/8gImZ73BbbOKkBanHWG2oB6se1c78kwIIUqKy7sh4QZYOIDHiwAoikJgsHYSxT5+lQxYXPEhQUgUKe3btyc4OJgff/wRFxcXLl++THBw8BOPNzMxoo9/JbaNasnPgxtSv5ory7M60DhhJkMyRnPevB5oMrVDS79rrp2T6OIOkMGSQojiLruTdP1XwNQCgFM34wmPScLC1Igu9ZwNWFzxIcPnn0GGzxtOUlISX3/9Ne+//z62ttoVk0+fPo2NjQ1Vq1Z94utCIu6xZN9ltp6JRlHAWxXOGLsdNMs4gJFyvyN1eQ9oOgzqvaz7ASKEEMVGcizM9dD+ovfuv+BcD4ApG86w7OBVevi4svBVXwMXaVi5/fyWIPQMEoSKDo1GQ9OmTTlx4gQjR45kwoQJ2NvbP/H4K7HJ/LD/MmuCbpCRpaEitxlps5Neyk5M1cnag6zLQ6O3ocGbYF22kN6JEELk08Fv4J+J4OoLb+8BICNLQ5MZO7mbnMHy/zWiVa3yhq3RwGQeofsSExNp2LAhPj4+1KtXjx9++MHQJYnnFB8fj62tLenp6cyaNQt3d3e+/fZbMjMzH3t8tXLWTO9VjwPj2zK8rTtJlq6MS3oVv+SFLDAaQKJZBUi+Dbu/0Has3vQBxIYX8rsSQog8UpQHS2r4DtBt3nvhNneTM3CyNadZDfnFLrdKfIuQWq0mPT0dKysrUlJS8PLy4tixY5Qtm7t/JNIiVLQoisLmzZsZM2YM586dA6B27drMnj2bF1988anzZSSnZ7Hq2HV+/PcKN+NSMSGLnmbHGW3zD64p5+4fpYLaXaDp+1AlQBZ6FUIUPdePaedOM7GEMefBQtsy/u6vQWw9E83bLaszoWsdAxdpeNIidJ+xsTFWVtrhg2lpaajVakp49ivRVCoVL7zwAidPnuTbb7+lXLlynD9/nu7du7Nly5anvtba3IT/Na/GnrGtWfCKD+7OZViT0YSAu5/SL/NTTtsEAAqc3wzLusIPbeDUGlA/vsVJCCEMIni59nvdnroQFJeSwc5z2gWte/vJ3EF5YfAgtG/fPrp164arqysqlYr169c/csyiRYuoVq0aFhYW+Pv7s3///jxdIy4uDm9vbypVqsS4ceNyTOQniidTU1OGDh1KeHg4H330EQEBAXTu3Fm3Pysr68mvNTaip29FtoxswfL/NSKgRjkOqevwYuz7tE2fwy6bF1Abm0NkCKx9U7uMx8GvIS2+MN6aEEI8WXqidm0xyHFbbOPJKDLVCp4udng4y92LvDB4EEpOTsbb2zvHcgsPW7VqFaNGjWLixImEhITQokULunTpQkREhO4Yf39/vLy8HvmKjIwEwMHBgRMnTnDlyhVWrFjBrVu3nlhPeno6CQkJOb5E0WVvb8+MGTPYv38/Rkbaf87JycnUqVOHSZMmkZT05NmlVSoVrWqVZ8WQJmx4vxkv1HfhKq78L/Y1GiYv5Her10g3Lwvx1+GfT2BeXdg2EeKuF9bbE0KInM6s06616FhDe/v+vuyV5qU1KO+KVB8hlUrFunXr6Nmzp25b48aN8fPzY/HixbptderUoWfPnsyYMSPP13jvvfdo27Ytffv2fez+KVOmMHXq1Ee2Sx+h4uOHH37g7bffBsDZ2Zlp06YxePBgjI2Nn/naa3eSWbr/Cn8ev056lgZzMvif3THeMduKQ9Il7UEqY22TdNP3oaJfAb4TIYT4j6Ud4MZRaD8Fmn8AwOXbSbSduxdjIxWHPm6Lk61MCQIlpI9QRkYGQUFBdOzYMcf2jh07cvDgwVyd49atW7pWnYSEBPbt20ft2rWfePzHH39MfHy87uv6dfntv7h56623WLNmDTVq1CA6Opq33noLPz8/tm/f/szXVilrzec9vTj4UVtGtquJpZU1ixOa4Rs7leFGE4hwaASKGk6v1fYh+rkrnNsMGk0hvDMhRKkWc04bglTG4N1ft3ldiHYm6ZY1y0kIeg5FOgjFxsaiVqupUKFCju0VKlQgOjo6V+e4ceMGLVu2xNvbm+bNm/P+++9Tv379Jx5vbm6OnZ1dji9RvKhUKvr06cOZM2eYN28eZcqU4eTJk3Ts2JGuXbuSkZHxzHOUtTHngw61OPhRW6Z2r0vFMtZsTPGiZfQoeqlncsKxM4qRCVw7AH/0g28awLGlkJFSCO9QCFEqZQ+Zr9UZbLWfixrNgyU1esuSGs+lSAehbP8dEq0oylOHST/M39+f0NBQTpw4wcmTJ3nvvfcKokRRBJmbm/PBBx8QHh7OqFGjMDU1xcbGBjMzs1yfw8rMhEEBVdkzpjVf9fOlrqsdIZlu9IgcSLO0hWx37IfazA7uXoK/P9TOR7RrGiTFFOA7E0KUOlkZ2qWCAPwedJI+evUuN+NSsTU3oYNnhSe8WDxNkQ5C5cqVw9jY+JHWn5iYmEdaiYR4EkdHR+bPn09YWBhz5szRbb9+/TozZswgNTX1mecwMTaiu7crm4Y357c3G9OiZjkiNWUYEtmNegkL+NXhPdJs3CD1LuybrQ1Efw2DmLMF+daEEKXF+c2QcgdsnMG9g25zdifpF+q7YGH67H6Q4lFFOgiZmZnh7+//SN+O7du3ExAQ8IRXCfF47u7uVK5cWfd8woQJTJgwgdq1a/Pbb7+hyUU/H5VKRfOa5fj1zcZsGt6c7t6upKks+DS6BZ6xM/jC5mPuOvqAOgNCfoNFTeC3PnBptyz0KoR4ftm3xXz6g7EJAKkZajaf0jYUyG2x52fwIJSUlERoaCihoaEAXLlyhdDQUN3w+NGjR7N06VJ++uknzp49ywcffEBERATvvvuuAasWJUGXLl1wc3Pj+vXrDBgwgMaNG7Nv375cv96roj1f9fNl79g2DA6oipmpCT/E1sMvchzvmM3gqlN7FJURhO+AX3vCd80hdIW2iVsIIXIr7jqE79Q+9n1dt/mfsGiS0rNwc7SkYdUyBiqu+DP48Pk9e/bQpk2bR7YPGjSIZcuWAdoJFWfNmkVUVBReXl7Mnz+fli1bFkp9ssRGyZaamsqCBQuYMWMGiYmJAPTq1YuZM2dSs2bNPJ3rbnIGvx66xvJDV7mbrA07XpZ3+dx5Pz6xG1Fl3u9IbeMMjd8G/zfAylGv70cIUQLtmQl7pkPVFjB4k27zoJ+OsvfCbUa2q8kHHWoZsMCiSVaf1xMJQqVDTEwMkydPZsmSJWg0GiZOnMi0adOe61ypGWrWBF3nh/1XiLirDT9OpilMcwuibfw6TJLv93kztdL+dtfkPXCsrq+3IoQoSTQaWOgN8RHQawl4vwLArYQ0ms7YiUaBvWNbU6WstYELLXokCOmJBKHSJSwsjOnTp7N48WJsbW0BbadqJycnzM3N83SuLLWGrWei+X7vZU7d1C7PYa7KYkKVs7yc8ReWd8PuH6mCOi9C0+FQubE+344Qori7tAt+7QXm9toFVk0tAViy7xLTN5+jQZUyrHlP+sw+TomYUFGIwubp6clvv/2mC0GKotC3b188PT1Zs2ZNnhbsNTE24sX6rmx4vxkr3mpMy1rlSVdMmHy1HnUiJzK93JfccWkFKHB2I/zUEZa2106hr37yWmlCiFIk+H4n6fp9dSFIURTWBsncQfoiQUiIp7h27RoRERFcvnyZvn370qJFC44cOZKnc6hUKgLcy/HL/xqxeUQLevlWxNjIiCU3KuN/5R3esVvEtSp9UIzN4MYxWD0YvvaDw4u1CywKIUqnlLtw7n6fIL+Bus1hUQmcv5WImYkRL9RzMVBxJYcEISGeomrVqly4cIFJkyZhaWnJgQMHaNKkCf369ePq1at5Pp+nqx3zX/Fh79jW/K9ZNazMjNkW40Cr833oZvI9IdXeRrEsC3HXYOtH2oVet0+C+Jv6f3NCiKLt5CrtVBzO9cHFW7c5eybpDnUqYG9laqjqSgzpI/QM0kdIZLt58yaffvopy5YtQ1EUzM3NOXDgAP7+/s99zriUDH47fI2fD1zlzv2RZk4WGr6ofpo291Zjcu/+Qq9GJuDVR7vQq8uTl4gRQpQQigKLAyAmDLrOgUZDAG3fwyYzdhKblMGPgxrQro5MLvwk0llaTyQIif8KDQ1lzJgx3Llzh6CgIIyM8t+wmpapZm3wDX7Yd5mrd7QjzSxMYKJ7BH0z/sIi8tCDg6u11Hasdm8Peri2EKIIuhEES9uCiQV8eA4stfME7T4XwxvLjlHW2ozDE9phaiw/A55EOksLUUB8fHzYvn07u3bt0oWglJQU2rdvz8aNG/PUoTqbhakxrzWuws4PW7P4NT+8K9mTlgWfnqtMnSvD+dJtMfeqd9euOn1lH6zoq521OmgZZKbp+R0KIQwu5Bft9zrddSEIYO39JTW6+7hKCNIT+VMU4jmoVCrKlHnww+nrr79m586ddO/enXbt2hESEvJc5zU2UtGlngvrhzXjj7eb0KZ2eRQFvrtoj2/Yqwwr/zMRHm+imNtB7HnYOFK7rtmeLyE59tETatRwZT+cWqP9rlE/71sWQhSWjGQ4tVb7+KFO0vGpmfwTdguAPjJaTG/k1tgzyK0xkRvx8fHMmDGDBQsWkJ6ejkqlYtCgQUybNo2KFSvm69znohNYsu8yG0IjydJo/7v6Ohkz1S2IejdWoIrX/oaIiQV4vwpNhkH5WhC2AbaOh4TIByezc4XOM8Gze75qEkIUoJDf4a+hUKYajAgBlQqAP45G8FHgKWpVsGHbqJao7m8Xjyd9hPREgpDIi6tXrzJhwgRWrlwJgJWVFWPHjmXy5Mn5/qEVGZfKzweusOJIBMkZ2pYdNztTpta6RKs7qzCOeqgVysUHokIfc5b7Nbz8i4QhIYqqHzvB9cPQbhK0+FC3+eXvDnH06l0+7uLBO61qGLDA4qFA+ggdPXoUtfpB0/p/M1R6ejp//vlnHksVouSoWrUqK1as4PDhwzRr1oyUlBTOnDmjl9/cXB0smfiCJwc/bse4zrUpZ2PO9YRM/ne8Mr5RH7Gi7nek1+isPfixIQjg/v/ZrR/JbTIhiqLbF7QhSGUE3v11myPupHD06l2MVNDTN3+tzCKnPAWhpk2bcufOHd1ze3t7Ll++rHseFxdHv3799FedEMVU48aN2b9/P2vWrGHmzJm67Tdu3GD79u35Ore9pSlDW7vz7/g2fNm7HtXLWZOQpmZCkB31zg9mldsnzziDAgk34drBfNUhhCgAIfdnkq7ZEeweTJYYGKK9Bd7MvRwV7CwMUVmJlacg9N8WoMfdVZM7bUJoqVQq+vTpQ/XqDxZUnTBhAh07dqRr166cOXMmX+e3MDXm1UaV2TG6Fd8P8Me3sgMZWRoOXIrL3QmSbuXr+kIIPVNnwgntbfWHO0kriqKbRFE6Seuf3keNSectIR5PURTKlSuHiYkJW7ZsoX79+rz77rvcupW/QGJkpKJTXWcC3wtg9btNqeRWNVevU6cm5Ou6Qgg9u7AVkm+DtZO2Rei+oGv3iLibgrWZMR3rygSK+ibD54UoJCqVinnz5hEWFkavXr3QaDR8//331KxZk+nTp5Oamprv8zes6kiL9j2IVBzRPKFxNrvR1njzB7DmTbh7JV/XFULoSfD9uYN8+oPxg6Uz1t5vDepSzwUrMxNDVFai5TkIhYWFcfLkSU6ePImiKJw7d073PL9N/UKUBjVr1iQwMJC9e/fSoEEDEhMTmThxIvPmzdPL+WOSM5maqW1W/28Yyn5+WO2BggpOr4FvGsLmcY+fh0gIUTjib0L4Du1j3wG6zWmZajad1E6B0dtPOkkXhDxHy3bt2uXoB/Tiiy8C2t9GFUWRW2NC5FLLli05cuQIK1euZMGCBQwfPly3LyUlBSsrq+c6r5OtBds0jXgvcxSTTX/Blbu6fdGUZWrmALZpGvGhRxrD1L9hdHkXHP0eQldAsxHQdBiYWef7/Qkh8iB0BSgaqBwA5dx1m3eejSExLQtXewuaVCtrwAJLrjzNI3Tt2rVcHVelSpXnLqiokXmERGF4+JcIRVFo1qwZFSpUYNasWdSsWTNP51JrFJrP3EV0fBoqNDQyOocTccTgwFGNB5qHGoIrO1oxx/8eDcMXosoecm9TAVqN13bWNJaVrYUocBoNfOUDcdeg53fg82D09ZvLjrHzXAzD2tRgbCcPw9VYDMmEinoiQUgUtqCgIBo1aoRGo8HExIRhw4YxadIkHB0dc32OraejeO+3YEA3cxCgm06RAU2rsOV0NLcT0wFoUtWBWZ6XqRwyB+5d1R5U1l07oVud7rqZbYUQBeDyXvilO5jbwYfnwUzbGhyblE7j6TtRaxR2jG6Fu5ONgQstXgpkQsW7d+9y48aNHNvOnDnDG2+8wcsvv8yKFSuer1ohhI6/vz8nT56kS5cuZGVlsXDhQmrUqMG8efNIT0/P1Tk6e7mw+HU/nO1zzjfibG/B4tf9+KyHF3vGtGZ4W3fMTYw4fDWOVlscGe/8IwltpoNVObgTDn8OhB87yJxDQhSk7E7S9V7ShSCADaGRqDUK3m4OEoIKUJ5ahPr164eLi4uuU2dMTAweHh64urpSo0YNtmzZwo8//siAAQOecabiQ1qEhCFt376dDz/8kFOnTgFQvXp1du3alevbz2qNwtErd4lJTMPJ1oJG1RwxNsrZunMzLpVZW8/xV6i2Q6aVmTEjmlXgLeO/MTmyCDKTtQfW6gztp4BTHb29PyFKvZS7MNcD1OkwZDdU9NPtevHr/Zy+mcBnPeoysGlVw9VYTBVIi9Dhw4fp3v3B+kS//PILjo6OhIaG8tdffzF9+nS+/fbb569aCJFDhw4dCAkJYenSpTg7O2Nra0ulSrmfUM3YSEXTGmXp4VORpjXKPhKCACo6WLLwVV8ChwbgW9mBlAw1X+6OpOWxpmxttxmlwZugMtbOcbI4ANYP045wEULk36nV2hBUwQtcfXWbz0cncvpmAqbGKrrVdzVggSVfnoJQdHQ01apV0z3ftWsXvXr1wsREO/ise/fuXLx4Ub8VClHKGRsb8+abb3Lx4kVWr16NsbExoB1ZNmzYMK5evaqX6/hVLkPgewEsfNUHV3sLIuPTeHf9TXpH9OFM7+3g2UM7qiX0N/jaD7ZPgtR7erm2EKWSokDw/SU1/Abm6IuXvaRGWw8nylibGaK6UiNPQcjOzo64uDjd86NHj9KkSRPdc5VKles+DEKIvLGxsckxgmzevHksWrQIDw8Pxo8fT3x8fL6voVKp6OFTkV1jWjOmYy2szIwJiYjjhd+jGaH+gJhXNkOVZpCVBgcWwkIfOPAVZKbl+9pClDpRoXDrFBibQ72+us1qjcL6EG2ra29ZUqPA5SkINWrUiK+++gqNRsOaNWtITEykbdu2uv0XLlzAzc1N70UKIR714osv0rZtW9LT05k1axbu7u58++23ZGZm5vvcFqbGvN+2JnvGtKavfyVUKthwIpIWvycw13UeaX1XgpMnpMXB9k/hmwYQulJWtBciL7I7SdfpBlYPRoUeCI/lVkI6DlamtKntZKDiSo88BaHPP/+cv/76C0tLS1555RXGjRtHmTJldPv/+OMPWrVqpfcihRCP8vHxYceOHWzYsIHatWsTGxvL+++/T/369dm0aZNeruFkZ8Hsvt5sfL85jas5kp6l4evdl2i53ozVDVei6f4t2FWE+Ouw/l34rgVc+OfBOh5CiMfLSIFTa7SP/XIOMAoM1t4W6+7tipmJrIRV0PI8j9Dt27c5ePAgzs7ONG7cOMe+v//+G09Pzxz9iIo7GTUmioPMzEyWLFnClClTiI2NpXfv3qxdu1av11AUhW1nopm++RwRd1MAqOtqx6TO1Wl8ew3snwtp92/PVW0B7adCJX+91iBEiRG6UvvLg0MVGBEKRtrAk5SeRYNp20nL1LB+WDN83BwMWmZxJhMq6okEIVGcxMfHM336dIYMGYK7u3aa/ujoaNRqNRUr6medovQsNcsPXuXrneEkpmcB0LmuMxPbVsDtzPdw5HvtKBgAz57aSRnL1tDLtYUoMX7uCtcOQJtPoNVY3ebVx68zds1Jqpe3ZufoVrJsVT4USBD65ZdfcnXcwIEDc3vKIk+CkCjuBg0axJo1axg7dixjx47F2lo/64jdSUpn/o4LrDgSgUYBM2MjBjerynB/C2wPzdaunYQCRibgP1i7bIeN9HcQgthw+MYfVEYw6jTYP/glpd+Swxy6fIexnWozrI37U04inqVAgpCRkRE2NjaYmJjwpJepVCru3r372H3FkQQhUZxlZGTQrl07/v33XwBcXFyYNm0agwYN0g3Dz6/z0YlM+zuM/Re1q9eXtTbjgw61eLVyAia7P4OL/2gPNLWGgOEQ8D6Y2+rl2kIUS9snw4EFULMjvLZat/nGvRSaz9wNwIGP2lLRwdJABZYMBTKhYp06dTAzM2PgwIHs3buXe/fuPfJVkkKQEMWdmZkZ+/btY/Xq1VSvXp2oqCjefPNN/Pz82LFjh16uUdvZll/+14ifBzekenlr7iRn8Mn603RddZd9DRfBoE1Q0V87Q/XeL+ErXzj6A6jzP7pNiGJHnQknVmof++bsJJ09u3vT6mUlBBWiPAWhM2fO8Pfff5OamkrLli1p0KABixcvJiEhoaDqE0Lkk0ql4qWXXiIsLIy5c+fi4ODAyZMn6dChAz/99JPertHGw4lto1oypZsnDlamXLiVxMCfjvLGHnPCu/8FfZeDYw1Ivg2bx8C3jeB0oIwwE6XLxX8g6RZYl9cuW3OfoiisvT9arLeffvrzidx57s7SqamprF69mp9//pmjR4/Ss2dPfvrpJ8zNzfVdo0HJrTFR0ty5c4fPPvuMNWvWcPbsWd2/a0VR9NYxMz4lk4U7L/LLoatkaRSMjVQMaFKFka2rUub8StgzE5JjtAe7+kGHqVCtpV6uLUSRtuJVuLBFe5u44zTd5tDrcfT89gAWpkYc/6QDNuYmBiyyZCi0UWP79u1j8uTJ7Nu3j9jY2BzzCpUEEoRESZWSkoKVlXala0VR6Nq1Ky1btmTUqFFYWuqnWf7y7SSmbz7LjrPa0GNvacqIdjUZ4FcWs6OL4eBXkJGkPdi9g3ZRV2cvvVxbiCInIQrme2qXqhl2DMrX0u2a9Ndpfjl0jZ4+rix41fcpJxG5VSB9hLLdvHmT6dOnU7NmTV599VUaNmzImTNnSlwIEqIkyw5BAFu3bmXr1q1MmDABDw8Pfv/9dzQaTb6vUb28DUsHNeT3txrj4WxLfGomn28Ko/OiYHY4DUYZEQKN3taOLAvfDt81h3XvQtz1fF9biCLnxAptCHJrkiMEZWRp2HBC2z+oj78sqVHY8hSE/vzzT7p06ULNmjU5duwYc+fO5fr168yaNQsPD4+CqlEIUcA6derEr7/+SqVKlYiIiOD111+ncePG7N+/Xy/nb+Zejr9HtGBG73qUszHjcmwyb/1ynNf/uMxZ309h2FGo2xtQtB1Jv/aHbRMhRQZfiBIixwKrOTtJ7z4fQ1xKJhXszAmoUc4AxZVueR4+X7lyZV577TUqVKjwxONGjBihl+KKArk1JkqT1NRU5s+fz4wZM0hK0t6y6tWrFz/++KPeWnwT0zL5dvclfvr3ChlqDUYqeKWhG6M71KZ8wmnt0OKr9wOYuT20+AAavwumMopGFGNX9sPyF8HMFj48B+Y2ul1v/3Kcf8Ju8U6r6nzcpY4BiyxZCqSPUNWqVZ/ZmVKlUnH58uXcV1rESRASpdGtW7eYNGkSS5cuxcvLi+DgYL3NO5Tt+t0Uvtxyjr9PRQFgY27CsDbuvBFQBYtre2DHZLh1WnuwrSu0mQA+/cFIv3UIUSgC34aTq8BvEHT/Srf5bnIGjafvIFOtsG1US2o7yxxb+mKwJTZu3rypt6n8iwIJQqI0O336NGlpaTRo0ADQdrBetmwZb731FmZmZnq5xtErd/l8UxinbmrXKatUxpKPu9Shq5cTqlOrYdc07aKuAOU9tB2qa3UGWXpAFBepcTC3NmSlwVs7oVID3a5fDl1l0l9n8Kpox6bhLQxXYwlUoJ2lHyc6OpoRI0bo1jcSQhR/Xl5euhAEMH/+fIYNG4anpydr16594gzzedGomiN/DWvG3L7eVLAz58a9VIatCOblJUc4WbYzvH8cOn4BlmXg9jlY+ap2nabrR/N9bSEKxanV2hDk5KmdXPQha4NvAtDbVzpJG0qeglBcXByvvfYa5cuXx9XVla+++gqNRsOkSZOoXr06hw4d0tsEbUKIoqdKlSo4Oztz6dIlXnrpJVq2bMnRo/kPJEZGKvr4V2L3mNaMbFcTC1Mjjl29R/dvDjB63Tmi676lXaG7+QdgYgERB+HHDrDqdYi9mP83JkRBCr6/TqfvgBwtmeExSZy4HoexkYruPq4GKk7k6dbY0KFD2bhxI6+88gpbt27l7NmzdOrUibS0NCZPnkyrVq0KslaDkFtjQuSUlJTErFmzmDNnDqmpqQD069ePGTNmUKVKFb1cIyo+lVlbz7MuRPvbsqWpMe+0qs47LWtgmRoNe2ZA6O/aocgqY/AbCK0/AltnvVxfCL2JOgHftwRjMxh9DqzL6nbN3naOb3dfop2HEz8ObmjAIkumArk19vfff/Pzzz8zZ84cNmzYgKIo1KpVi127dpXIECSEeJSNjQ2fffYZFy5cYNCgQahUKlauXMm4ceP0dg0Xe0vmv+LD+mHN8K9ShtRMNQt2XKTNnD2su6yg6fY1vHcQancFRQ1BP2vXMNs1DdJkyR9RhGQPmfd4IUcI0mgU1mXfFvOT22KGlKcgFBkZiaenJwDVq1fHwsKCt956q0AKE0IUbZUqVWLZsmUEBQXRsWNHpk17sFxAfHw8WVlZ+b6Gj5sDa95tyjf9fanoYEl0QhofrDpBr0UHCEqtAP1WwhtboFIjyEyBfbPhKx84/B1kZeT7+kLkS2YqnPxT+9hvYI5dh6/cITI+DVsLE9rVcTJAcSJbnoKQRqPB1NRU99zY2Bhra2u9FyWEKD58fX3Ztm0bNWvW1G0bNWoU9erVY9OmTfnuUK1SqXixvis7P2zF2E61sTYz5sSNePosPsT7K4K5YecDb/4Dr/wGZWtCyh3YOh6+aQCn1oAeZsgW4rmc3Qjp8WBfGaq1zrEr8H5r0Iv1XbEwlSkhDCnPEyp26dJFt7Dqxo0badu27SNhKDAwUL9VGpD0ERIib+Lj46lVqxYxMdr1xdq2bcvcuXPx8fHRy/ljEtOY988FVh2/jqKAmYkRbzWvxtA27tiYACG/avsQJd3SvsDFG9pPhRpt9HJ9IXJt2YvayUFbf6ztw3ZfSkYWDaftIDlDzZp3m9KgqqMBiyy5CqSP0KBBg3BycsLe3h57e3tef/11XF1ddc+zv4QQpZe9vT0XLlxg3LhxmJmZsWvXLvz8/Pjf//5HZGRkvs/vZGvBl33qs2l4c5pWL0tGloZFey7RevYe/giKRO03GEaEQNtPtLP4Rp2AX3vCr720j4UoDHcv358hXQU+r+XY9c+ZWyRnqKlS1gr/KrJGp6HpfULFkkZahIR4fleuXOHjjz9m1apVgHah17/++ov27dvr5fyKorA97BbTN5/l6p0UAOq42PHpi3W0azYlx8K+OXBsKWgytS+q9zK0nQhlquqlBiEea+dnsH8u1GgHA3LeJRnw4xH2X4zlg/a1GNm+5hNOIPKr0CdUFEKI/6pWrRp//PEHhw4domnTplhZWdGwof6GCatUKjrWdeafD1rxyQt1sLUw4WxUAv1/OMKQX45zJdUSunwJw49Dvb7aF536E75pCFs/huQ7eqtFCB11FoT8rn38n07S0fFpHAiPBaCXb8lZhaE4kyAkhChwTZo04cCBAxw5ckR3+1xRFIYMGcKOHTvyfX4zEyPealGdvWPbMLBpFYyNVGwPu0XH+XuZtimMeIuK0GcpvLMPqrcBdQYcXqQdYbZvNmQk57sGIXTCd0BSNFiV1U7x8JD1oTfRKNCoqiOVy1oZqEDxMAlCQohCoVKpqF69uu55YGAgS5cupUOHDrzwwguEhYXl+xqO1mZ81sOLrSNb0Lp2eTLVCkv/vULr2bv55dBVspzqwcD1MGAdONeH9ATt3ENf+UHQMu1v8kLkV/ZM0vVfBZMHa/IpisLaoBsA9PaT1qCiQoKQEMIgWrduzYgRIzAxMWHz5s3Ur1+f9957TzfaLD9qVrBl2RuNWPZGQ2o62XAvJZNJf52h88L97DkfAzXawtt7ofdScKis/e1940hY3BTObgLpOimeV+ItuLBV+9hvQI5dZyITuBiThJmJEV3ruxigOPE4EoSEEAZRtmxZFi5cyJkzZ+jZsydqtZrvvvsOd3d3ZsyYQUZG/idEbF3biS0jW/B5j7qUsTIlPCaJwT8fY9BPR7l4Oxnq99Uu6tr5S7B0hNgLsOo1+KkTRBzWw7sUpc6JFdrZzis1BKc6OXatDda2BnX0rICdhenjXi0MQIKQEMKgatWqxbp169izZw9+fn4kJiaycuVKjI31M8mcibERA5pWZc/YNrzVvBqmxir2XrhN54X7+XT9ae6mq6DJezAyFFqMARNLuH5EG4ZW9oOYc3qpQ5QCigIhv2kf/6eTdKZaw4ZQ7fQRfWRJjSJFhs8/gwyfF6LwaDQaVqxYQaVKlWjdujUAqampBAcH06xZM71c40psMjM2n+WfMO2Ei7YWJoxsV5OBTatiZmIECVGw90vtGlGKGlRG2nlg2kwAO1khXDzFtYPwcxcwtYYx58HcVrdr59lbvLn8OOVszDj8cTtMjKUdoqDJ8HkhRLFjZGTE66+/rgtBAAsWLKB58+b07t2bixcv5vsa1cpZs2RgA1YMaYynix2JaVlM+/ssHefvZduZaBRbZ+i2EIYeBo8XtSvch/yq7VC9YyqkxuU8oUYNV/Zrl/O4sl/7XJRO2Z2kvXrnCEHwYEmNHj4VJQQVMfK3IYQo0u7evYuRkRHr1q2jbt26fPDBB9y9ezff5w2oUY6Nw5szs089ytmYc/VOCu/8GkT/H45wJjIeyteCV3+H//0Dbk0gKxX+nacdcn/oW8hKh7ANsMALlr8Ia9/Ufl/gpd0uSpe0eDizXvv4P7fF4lMy2X5W2wIpo8WKHrk19gxya0wIwzt9+jRjx45l61btaJwyZcrw6aefMmzYMMzMzJ7x6mdLSs9i8Z5wfth/hYwsDSoVvOzvxoedauFka6Ht+3F+C+yYArHntS+yKgcpsY85m0r77eVfwLN7vmsTxcSxH+Hv0VCuNgw7AiqVbteKIxFMWHcKD2dbtoxsgeqhfaLgyK0xIUSJ4eXlxZYtW9i2bRv16tXj3r17jB49mlGjRunl/DbmJozt5MHO0a14sb4LigKrjl+nzew9fLs7nLQsDXh0hfcOQvevwcb5CSEI4P7vlls/kttkpUnIr9rvfgNzhCCAwOAHcwdJCCp6JAgJIYqNjh07EhISwg8//ICbm1uOIKRW5z90uDla8U1/P9a+1xRvNweSM9TM3naednP3svFEJIqRsfaDrse3zziTAgk3tZ1nRckXfQoiQ8DIFLxfzbHr2p1kjl+7h5EKevrIbbGiSIKQEKJYMTY25q233uLy5cvUqlVLt33IkCH079+fa9eu5fsa/lUcWfdeAAte8cHF3oKbcakMXxnCS98dIvR6HKTF5e5E/86H04GQEJnvmkQRFny/NcijK1iXy7Fr7f1O0i1qlsfJzqKwKxO5IH2EnkH6CAlR9F2/fp1q1aqhVqsxNzdn1KhRfPzxx7p1zfIjNUPNkn2X+W7vJVIzta1OY2re4v3rH+TtRA5VoHJTqNxE+71cLTCS30WLvcw0mFtbG45fWws12+t2aTQKLWfv5sa9VBa+6kMPaREqVNJHSAhRari5uXH06FFat25Neno6M2fOpGbNmixevJisrPytH2ZpZszI9jXZPaa1biK8eRfLE6U4onnCr5EaBTLMHKDR2+DirZ2LKO4anPwDNo2CRY1hdnVY8Yq21SjisHYUmih+zm3ShiC7SlCjTY5dx6/d48a9VGzMTejo6WyY+sQzSYvQM0iLkBDFh6IobNy4kbFjx3LhwgUAPDw8WL16NV5eXnq5xskbcXy28Qxlr//DYtMFABg91P81OxxNMB3HFxMmYGykgvREuHFMG3giDsGN45CZkvPExuZQ0e9Bi5FbI7Aso5eaRQFa3h2u7IVW47WTbj7ko7Un+ePYdV5uUIlZL3kbqMDSK7ef3xKEnkGCkBDFT2ZmJt9//z1TpkwBIDw8HAcHB72d/9ClWPr9cIRORkeZbPoLrqoH8xpFKmWZmjmAbZpGrBzShKY1yj56AnUmRJ98EIwiDkPy7UePc/J8EIwqNwF7t0dGJAkDuntFO68UKhh5AspU0e1Ky1TTcNoOEtOz+OPtJjSp/ph/B6JA5fbz26QQaxJCiEJhamrK+++/z+uvv86ZM2d0IUhRFL788ksGDhxIxYrP318jJlF7G2ubphHb0xvQyOgcTsQRgwNHNR5o7vc6iIxLAR7zAWhsChX9tV9Nh2nnKbp7+X4ouh+M7oRDTJj26/hP2tfZVcwZjJw8wUg/a7KJ5xD6u/Z79dY5QhDA9rBbJKZnUdHBkkZVHQu/NpFr0iL0DNIiJETJERgYSJ8+fbCysmLs2LGMHTsWa2vrPJ/n0KU79Pvh2avTW5sb09u3En38K+FdyT5vc8gk3Ybrhx+0GkWdAM1/+juZ22lvoWWHo4r+YGqZx3cjnotGDfO9IDESXvoJvPrk2P3Gz0fZff42w9u682HH2gYqsnSTW2N6IkFIiJLj+PHjjBgxgkOHDgHg4uLCtGnTGDRoUJ5Wu1drFJrP3EV0fBpP+gFqpCJHZ+rq5a3p41eJnr4VqejwHGElIxluBj0IRtePQkbSfy5qCq4+D/UzagLWckumQFz4B1b01fbj+vA8mJjrdsUkptF0xi7UGoVdH7aienkbAxZaekkQeoiJiYmuo2SDBg1YunRprl8rQUiIkkVRFNasWcP48eO5cuUKAN7e3syZM4f27ds/49UPbD0dxXu/BWvP+dD27Dafb/v7YWNhQmDwDbaeiSYtU6Pdr4Km1cvS268SXbycsTZ/zh4K6iyIOZOzn1Fi1KPHlauV83ZamWrSz0gfVr0OZzdC4/egy5c5di3df5lpf5/Ft7ID64Y2M1CBQoLQQ8qVK0ds7JOmw386CUJClEzp6el88803fP7558THx+Pl5cWJEycwysPcPltPRzF1YxhR8Wm6bS72Fkzu5klnLxfdtqT0LDafiiIw+AaHLz/oWG1pakwXL2d6+1WiaY2y2hFmz0tRtEP0Hw5Gt889epxNhZzBqEI9MJbuonmSFAPz6mhvVb53ECrUzbG768L9hEUl8HlPLwY0qfKEk4iCJkHoIRKEhBBPEhsby2effcaLL75Ix44dAUhLSyMhIQEnJ6dnvl6tUTh65S4xiWk42VrQqJrjUwPN9bsprA+5SWDITa7EJuu2u9hb0NO3In38KuLuZJv/NwaQcheuH7kfjI5AZDCoM3IeY2oNbg0fBKOKDcBcbuU81YGvYPun2j5ZQ3bl2HU2KoEuC/djaqzi2MT2OFjlf1Fg8XyKTRDat28fs2fPJigoiKioKNatW0fPnj1zHLNo0SJmz55NVFQUdevWZcGCBbRo0SLX1zAzM6NevXpYWlryxRdf0KpVq1y/VoKQEKXPl19+yfTp05kwYQKjRo3CwkL/SyMoikLI9TjWBt1g44lIEtIedISuX8mePn6V6ObtiqO1Hj9IM9O0a2JltxhdPwxp8TmPURmDS/0HwcitCdhW0F8NxZ2iwLeNIPYCvLgAGryRY/f0zWdZsu8ynes6890Af8PUKIBiFIS2bNnCgQMH8PPzo0+fPo8EoVWrVjFgwAAWLVpEs2bN+P7771m6dClhYWFUrlwZAH9/f9LTH52V9Z9//sHV1ZXIyEhcXV05ffo0L7zwAqdOncp1qJEgJETpoigK7du3Z9cu7W/6lStXZsaMGbz66qt5um2WF+lZanadjWFt8A32nL9N1v1e1iZGKtp4ONHHrxJtPZwwM9Hz9TUa7e2z7GAUcRjiIx49zrF6zuVByrqX3n5GEYfhp05gaqXtJG3x4HMhS62h6Ze7uJ2Yzg8DG9DBUwKkIRWbIPQwlUr1SBBq3Lgxfn5+LF68WLetTp069OzZkxkzZuT5Gl26dOHzzz+nQYMGj92fnp6eI1QlJCTg5uYmQUiIUkSj0fD7778zYcIEbty4AUDDhg2ZN28ezZs3L9BrxyalsyE0ksCQG5y+maDb7mBlSndvV3r7PcdQ/LyIv/EgFEUchlun4b9j46zK3h+V1lj73cUbTErJLaD1wyD0N/B5DXouyrFrz/kYBv98DEdrMw5/3E7/wVXkSYkIQhkZGVhZWbF69Wp69eqlO27kyJGEhoayd+/eZ57z3r17WFlZYW5uzo0bN2jWrBkhISE4Oj5+gqspU6YwderUR7ZLEBKi9ElJSWH+/Pl8+eWXJCVph6rPmjWLsWPHFsr1z0cnEhhyg/UhN7mV8OAXtBrlrentV4levhVxfZ6h+HmRFg/Xjz1oNbp5HLLSch5jYqHtW6Qbtt8QLPK/4G2Rk5agXWA1MwXe2ApVmubYPWJlCBtORDI4oCpTutd9wklEYSkRQSgyMpKKFSty4MABAgICdMdNnz6d5cuXc/78+Wee8+DBg7zzzjsYGRmhUqmYMmXKI32QHiYtQkKI/4qOjmby5MksX76cEydOULt24U6Qp9YoHAiPZW3wDbY9Zih+H79KdM7PUPy8yMrQTu6ou512CFLv/ucgFVTwuh+M7ocj+xKw8nrQMtg4EsrWhPeP5bg9mJiWSYNpO0jP0rDh/WbUr+RgsDKFVolaYuO/TcCKouS6WTggIIBTp07l+lrm5uaYm5s/+0AhRKnh7OzM999/z+eff55jJNmYMWOoVKkSQ4cOxcys4G4NGRupaFmrPC1rlScxLZMtp6NZG3SDI1fucvDSHQ5eusMn60/TxcuZPv6VaFI9n0Pxn8bETNvi49YQmo3Qdh6OvZgzGN27ArdOab+O/aB9nX3lnMGovAcUUJ+rAhP8i/a734BH+khtORVNepYGdycb6lUsga1hJViRDkLlypXD2NiY6OjoHNtjYmKoUEE6oQkhCtfDIejMmTPMmzcPRVH49ttvmTlzJr169Sq4vjv32VqY8nIDN15u4PbIUPzA+48LZCj+k6hUUL6W9st/kHZbYvRD/YwOaReYjY+AUxFw6k/tMRb22hFp2cHI1RdM9T86T29uhWln9jYyAe9+j+xeG6ztS9bbr2KB/xsQ+lWkb42BtrO0v78/ixY96JTm6elJjx49nquzdF7JqDEhxOOo1Wp++uknPv30U27dugVA8+bNmTdvHg0bNizUWhRFITgijsDgR4fie1eyp7dfJbp7u1JGn0Px8yI9EW4cfxCMbhzT9rN5mLEZuPo91M+oEVgVocVKt34MhxeBx4vw6u85dl2/m0KLWbtRqeDA+LYF329L5Eqx6SOUlJREeHg4AL6+vsybN482bdrg6OhI5cqVdcPnv/vuO5o2bcqSJUv44YcfOHPmDFWqFPyMnRKEhBBPk5iYyKxZs5g7dy6pqakA9O/fn3nz5hmk5TotU82uczEEBt9g9/nbqO8PxTc1VtGmthO9C2oofl6oMyH6VM5ZsJNjHj2ufJ2cs2A7VDbMsP2sdG0n6dR70P9PqNUpx+6vd15k7vYLNHMvy+9vNSn8+sRjFZsgtGfPHtq0afPI9kGDBrFs2TJAO6HirFmziIqKwsvLi/nz59OyZctCqU+CkBAiN27cuMHEiRP55ZdfKFu2LOHh4Tg4OBi0JoMPxc8tRYG7l3MGozsXHz3O1vU/y4PUBaPcL5b73E4Hwpo3tNcfdSrHkiSKotB27l6uxCYzt683ffwrFXw9IleKTRAq6iQICSHyIjg4mIiICN0tfkVRCAwMpEePHpiYGK5b5vnoRAKDb7Au5CYxiQYaip8XybE5g1FUqHZtr4eZ2WpvoemWB/EHMyv91/JLT7i8G1qMgXaf5tgVHHGP3osOYmlqzPFP2hfOyD2RKxKE9ESCkBAiP9atW0fv3r3x9PRk9uzZdOnSxaAtMGqNwr/hsQQ+Zih+QI2y9PYtxKH4eZGRol0rTbc8yFFIT8h5jJEJuPjkbDWyLpe/6967Bgu9AQVGhIJjtRy7P1l/it8OR9DbtyLzXvHJ37WEXkkQ0hMJQkKI/Fi5ciXDhw/nzp07ALRv3545c+bg7e1t4Mq0c99sORXN2mDtUPxsVmbGdPZypo9fAQ/Fzw+NGmLCHrQaXTsEiZGPHle2JlS+PwN25aba5UJyE0Q1arh2EI5+D2c3QtUWMHhTjkPSs9Q0+mIn8amZ/PZmY5rXzGfoEnolQUhPJAgJIfIrLi6O6dOns3DhQjIyMlCpVLzxxht8/vnnuLq6Gro8QDvyaV3ITQKDb3D1zoMRXS72FvTyrUhvv0q4OxXhVekVBeKv57ydFhP26HHW5XO2GDnXB2PTnMeEbYCt4yHhoWBlWQa6fQWe3XWbtp6O4t3fgnGxt+Df8W2LZmAsxSQI6YkEISGEvly5coWPPvqIP//UzqXTqFEjjhw5YuCqcsoeir82+Aab/jsU382BPn4V6VbfgEPx8yLlrnaovm55kCBQZ+Q8xtQKKjV4EIySb0PgOzyyvhr3Q87Lv+jC0FvLj7Pj7C3ea12D8Z09CvztiLyRIKQnEoSEEPp26NAhRo8ezeTJk+ncuTMAmZmZGBkZYWxcCKOgcil7KP7aoBvsufDoUPw+/pVoU9vAQ/HzIjNN2+laNwv2YUiLy8MJVGCnHTl2JyWLxtN3kqVR2P5BS2pWKOCJK0WeSRDSEwlCQoiC8N+lgmbNmsWKFSuYO3cu7dq1M2Blj5c9FH9t8A3ORD7opFzGypRu3q708atE/aIwFD8vNBqIPf8gGF3a/fj5jP5r0CaWRVZiysYw6leyZ8P7zQu+VpFnEoT0RIKQEKKgZWVlUaNGDSIiIgB44YUXmD17NnXq1DFwZY93LjqBwOCbrAu5ye2HhuK7O9nQ268iPX2K2FD83Dq1Bta++ezj+vxI973OnLwRz5RungxuVu3ZrxGFLref38WkPVMIIUouExMTgoKCGD58OCYmJvz999/Uq1ePoUOHEhOTixaKQubhbMeErnU49FFblv+vET18XLEwNSI8JolZW8/TbOYuXlt6mMDgGySnZz37hEWFTe5mAr+RacvJG/GYGKno5l00OruL5yctQs8gLUJCiMJ04cIFxo0bx19//QWAra0ty5Yto3fv3gau7Omyh+KvCb7B0ScMxW9avSxGRXlklUYNC7wgIYpHO0tDdh+hWXVWs2jvVdrXqcDSQQ0Ku0qRS3JrTE8kCAkhDGHPnj18+OGHnDhxgtOnT+PhUXxGJT1pKL6rvQU9i/pQ/LAN8OfA+08e/njUBjh13+U032BDVHwai1/zo0s9l0IvUeSOBCE9kSAkhDAUjUbD8ePHadSokW7b7NmzCQgIoFmzZgasLHe0Q/HvsTb4ZvEaiv+4eYTsKkLnLzlgFsBrS49gZ2HCsU/aY25SdEb5iZwkCOmJBCEhRFFx8uRJfHx8UBSFPn36MHPmTGrUqGHosnIlLVPNzrMxBAY/OhS/rYcTvf2K2FD87Jmlk25p+w5VCQAjY0b/GUpg8E1ea1yZL3rVM3SV4ikkCOmJBCEhRFFx69YtJk2axNKlS9FoNJiamvL+++/zySef4OjoaOjyci02KZ2/QiMJfMxQ/O7ervQuokPxk9OzaPjFDlIy1Kx9LwD/KmUMXZJ4CglCeiJBSAhR1Jw+fZoxY8awbds2AMqUKcOkSZMYOnQoZmZF7DbTMzxrKH4v34q42BeNofiBwTcY/ecJqpa1YveY1kUuqImcJAjpiQQhIURRtW3bNsaMGcPp06dxdHQkPDycMmWKZytFllrDgUt3WBt0g21noknP0gDa9VGb1ShHb7+KdKrrjLW5icFqfH3pEf4Nj2V0h1qMaFfTYHWI3JEgpCcShIQQRVlWVhY///wzJiYmvPHGG4C2k3JYWBh169Y1cHXPJzEtk82nolgbfPORofhdvFzo41eRJoU8FD8yLpVmM3ehKLB/XBvcHK0K7dri+UgQ0hMJQkKI4mb9+vX06tWL1157jenTp1O5cmVDl/Tcrt9NITD4JoEhN7j2n6H4vfy0Q/FrlC/4ofiL9oQza+t5GldzZNU7TQv8eiL/ZGZpIYQopYKCggD4/fffqV27NhMmTCAhIeEZryqa3BytGNm+JnvGtGbte03p16gythYmRMan8e3uS7Sbu5ce3x7g10NXuZec8ewTPgdFUQgMvglAH79KBXINYTjSIvQM0iIkhCiOgoKC+PDDD9m7dy8ATk5OTJ06lbfeegsTE8P1s9GH7KH4a4NvsPcxQ/H7+FWitR6H4p+8EUf3bw5gbmLE8U/aY2thqpfzioIlt8b0RIKQEKK4UhSFDRs2MG7cOC5cuABAnz59WLNmjYEr05/bielsOBHJ2qAbhEU9OhS/j38l6lXM31D8KRvOsOzgVbp7u/JVP199lC0KgQQhPZEgJIQo7jIzM/nuu++YOnUqv/76K126dDF0SQXibFQC60L0OxQ/I0tDkxk7uZucwbI3GtK6tpO+yxYFRIKQnkgQEkKUFImJidjY2OhaR+bNm0dYWBiff/45Li4lZ82sLLWGf8NjCQy++cSh+J29nLEye/Ytwu1htxjyy3HK25pz6KO2mBhL19riQoKQnkgQEkKURElJSbi5uREXF4e1tTXjxo3jww8/xNra2tCl6VVCWiZbnjYU378iTao9OhRfrVE4euUuX245y4kb8bzZvCqfvlg8pyMorSQI6YkEISFESXXo0CFGjx7N4cOHAXB1dWXatGkMHDgQY+OSt5hoxJ0U1oU8eyj+1tNRTN0YRlR8mu6YcjZmTOvpRWevktNyVtJJENITCUJCiJJMURRWr17NRx99xJUrVwDw8fFh6dKl+Pv7G7i6gqEoCkHX7rE2+CabTkaSmJal21e1rBVXHwpJ2bLbixa/7idhqJiQIKQnEoSEEKVBeno6X3/9NdOmTSMpKYnTp0/j4eFh6LIKXFqmmh1nbxEYfJM952PQPOUTUQU421vw7/i2GBfirNbi+ciEikIIIXLN3NycMWPGEB4ezsqVK3OEoJUrV3L79m0DVldwLEyNebG+Kz8Nbsii1/yeeqwCRMWn5ehrJIo/CUJCCCF0ypUrR9++fXXPT506xeuvv467uzszZ84kLS3tKa8u3rJHlz1LTGLJ/TMojSQICSGEeKLMzEx8fHxISEjgo48+wsPDg5UrV1ISe1U42Vro9ThRPEgQEkII8UR+fn4cO3aM5cuXU7FiRa5du0b//v1p0qQJBw4cMHR5etWomiMu9hY8qfePCnCxt6BRNcfCLEsUMAlCQgghnsrIyIiBAwdy4cIFPv/8c6ytrTl69Cjdu3cnOTnZ0OXpjbGRisndPAEeCUPZzyd385SO0iWMBCEhhBC5YmVlxSeffEJ4eDhDhgxhypQpugkYFUUptivcP6yzlwuLX/fD2T7n7S9newsZOl9CyfD5Z5Dh80II8WwbNmzgjTfeYNKkSbz33nuYmZkZuqR8yZ5ZOiYxDSdb7e0waQkqXmT4vBBCiEKzfPly7t69y6hRo6hbty7r1q0r1h2qjY1UNK1Rlh4+FWlao6yEoBJMgpAQQoh8W7VqFUuWLKFChQqEh4fTu3dvWrduzfHjxw1dmhBPJUFICCFEvpmYmDBkyBAuXrzIJ598goWFBfv27aNhw4ZMmjTJ0OUJ8UQShIQQQuiNra0tn3/+ORcuXGDAgAEANGnSxMBVCfFk0ln6GaSztBBCPL9z585Ru3ZtVCptH5sffvgBjUbDm2++iYmJiYGrEyWZdJYWQghhcB4eHroQFBsby9ixY3n33Xfx9vZmy5YtxbpDtSgZJAgJIYQoFPb29nz++eeULVuWsLAwunbtSseOHTl58qShSxOlmAQhIYQQhcLU1JThw4cTHh7OmDFjMDMzY8eOHfj4+PDmm28SHR1t6BJFKSRBSAghRKFycHBg9uzZnD17lpdffhlFUVi+fDn37t0zdGmiFJIgJIQQwiCqV6/OqlWrOHjwIHPmzKFOnTq6fYcOHUKj0RiwOlFaSBASQghhUE2bNmXUqFG656dPn6Z58+b4+/uza9cuwxUmSgUJQkIIIYqUixcvYmtrS2hoKO3ataN79+6cO3fO0GWJEkqCkBBCiCKlV69ehIeH8/7772NsbMzGjRvx8vLi/fff5/bt24YuT5QwEoSEEEIUOeXKlePrr7/mzJkzdO/eHbVazbfffkujRo3IysoydHmiBJEgJIQQosiqXbs2f/31F7t27cLX15cRI0boZqRWFEUmZBT5JkFICCFEkdemTRuOHz/O8OHDdds2bdpE06ZNOXjwoAErE8WdBCEhhBDFgpGRUY7WoM8++4wjR47QrFkz+vbty6VLlwxcoSiOJAgJIYQodlQqFRs3bmTIkCEYGRmxZs0a6tSpw4cffigTM4o8kSAkhBCiWHJ2dmbJkiWEhobSqVMnMjMzmTdvHu7u7qxYscLQ5YliQoKQEEKIYq1evXps3bqVLVu2ULduXe7evYudnZ2hyxLFhAQhIYQQJULnzp0JDQ1l/fr1vPDCC7rta9eu5fjx4wasTBRlEoSEEEKUGCYmJvTo0QOVSgXAnTt3eOutt2jYsCEDBgzg+vXrBq5QFDUShIQQQpRYarWabt26AfDbb79Rq1YtJk6cSGJiooErE0WFBCEhhBAllpOTE7/88gvHjx+nVatWpKWlMX36dNzd3fn+++9llmohQUgIIUTJ5+/vz+7du1m/fj01a9YkJiaGoUOHEh4ebujShIGZGLoAIYQQojCoVCp69OhB165d+e6774iMjMTDw0O3Pzo6GmdnZwNWKAxBWoSEEEKUKqampgwfPpwZM2botp05c4bKlSszZMgQoqKiDFidKGwShIQQQpR6mzdvJjMzk6VLl1KzZk0+++wzkpOTDV2WKAQShIQQQpR6Y8eO5cCBAzRp0oTk5GQmT55MrVq1WL58ORqNxtDliQIkQUgIIYQAAgICOHjwIH/88QdVqlQhMjKSwYMH06FDBxRFMXR5ooBIEBJCCCHuU6lUvPLKK5w7d46ZM2diZ2fHCy+8oJugUZQ8KkVi7lMlJCRgb29PfHy8rF0jhBClzO3bt7Gzs8Pc3BzQ9iXavHkzkydPpnz58gauTjxNbj+/pUVICCGEeILy5cvrQpBarebDDz/k22+/xd3dnVmzZpGWlmbgCkV+SRASQgghcsHY2JhFixbh6+tLQkIC48ePp06dOvzxxx/Sh6gYkyAkhBBC5FKbNm04fvw4y5Yto2LFily9epV+/foREBAgK9wXUxKEhBBCiDwwMjJi0KBBXLhwgc8++wxra2sOHz4sEzEWUyU+CJ0/fx4fHx/dl6WlJevXrzd0WUIIIYo5KysrPv30Uy5evMjs2bN58cUXdfv27dvHvXv3DFidyK1SNWosKSmJqlWrcu3aNaytrXP1Ghk1JoQQIi/u3r2Lu7s7KpWKyZMn895772FqamroskodGTX2GBs2bKBdu3a5DkFCCCFEXkVGRuLq6srdu3cZOXIkdevWZf369dKhuogyeBDat28f3bp1w9XVFZVK9djbVosWLaJatWpYWFjg7+/P/v37n+taf/75J6+88ko+KxZCCCGezMvLi9DQUL7//nucnJy4ePEivXr1ok2bNgQFBRm6PPEfBg9CycnJeHt788033zx2/6pVqxg1ahQTJ04kJCSEFi1a0KVLFyIiInTH+Pv74+Xl9chXZGSk7piEhAQOHDhA165dC/w9CSGEKN1MTEx4++23CQ8PZ+LEiVhYWLB3716aNGnCzZs3DV2eeEiR6iOkUqlYt24dPXv21G1r3Lgxfn5+LF68WLetTp069OzZkxkzZuT63L/++ivbtm3jt99+e+px6enppKen654nJCTg5uYmfYSEEEI8t+vXrzNhwgRsbGxyfJ5lZmZK/6ECUiL6CGVkZBAUFETHjh1zbO/YsSMHDx7M07lye1tsxowZ2Nvb677c3NzydB0hhBDiv9zc3Pj111/59ttvddvCwsKoVq0aS5YsISsry4DVlW5FOgjFxsaiVqupUKFCju0VKlQgOjo61+eJj4/n6NGjdOrU6ZnHfvzxx8THx+u+rl+/nue6hRBCiMcxMnrwsbtw4UJu3rzJO++8g4+PD1u3bjVgZaVXkQ5C2f676q+iKHlaCdje3p5bt25hZmb2zGPNzc2xs7PL8SWEEELo29dff82CBQtwdHTkzJkzdOnShU6dOnHq1ClDl1aqFOkgVK5cOYyNjR9p/YmJiXmklUgIIYQoTszMzBg5ciTh4eGMHj0aU1NT/vnnH3x8fBgzZoyhyys1inQQMjMzw9/fn+3bt+fYvn37dgICAgxUlRBCCKE/ZcqUYe7cuZw9e5aXXnoJjUaDs7OzocsqNUwMXUBSUhLh4eG651euXCE0NBRHR0cqV67M6NGjGTBgAA0aNKBp06YsWbKEiIgI3n33XQNWLYQQQuhXjRo1WL16NYcOHcLPz0+3fefOndy4cYMBAwbk6GMk9MPgw+f37NlDmzZtHtk+aNAgli1bBmgnVJw1axZRUVF4eXkxf/58WrZsWSj1yRIbQgghDCUrK4v69etz9uxZfH19mTt37mM/M8Wjcvv5bfAgVNRJEBJCCGEoGRkZLFiwgC+++IKEhAQAunfvzqxZs6hdu7aBqyvaSsQ8QkIIIURpZmZmxrhx4wgPD2fYsGEYGxuzYcMGvLy8GD58OLGxsYYusdiTICSEEEIUceXLl+ebb77h9OnTdOvWjaysLL755ps8Ty4sHiVBSAghhCgmPDw82LBhAzt37mTYsGF069ZNty88PFxWuH8OEoSEEEKIYqZt27Z88803usmF7969S6NGjQgICODQoUMGrq54kSAkhBBCFHPHjx8nPT2dw4cPExAQwMsvv8zly5cNXVaxIEFICCGEKOY6duxIeHg4b775JiqVitWrV1OnTh3GjBlDXFycocsr0iQICSGEECWAi4sLS5cuJTQ0lA4dOpCRkcHcuXOpXbu2bui9eJQEISGEEKIEqV+/Ptu2bWPz5s14enrSo0cPmQfvKSQICSGEECWMSqWiS5cunDhxgrlz5+q2nzt3jvbt2xMUFGTA6ooWCUJCCCFECWViYoKtra3u+cSJE9m5cycNGjRg4MCBXL9+3YDVFQ0ShIQQQohSYv78+bz22msA/Prrr9SqVYtPPvmExMREA1dmOBKEhBBCiFKicuXK/Pbbbxw9epQWLVqQlpbGF198Qc2aNfn1118NXZ5BSBASQgghSpmGDRuyd+9eAgMDcXd359atW0RHRxu6LIOQ1eefQVafF0IIUZJlZGSwbNkyBg4ciIWFBQCHDx/G2tqaevXqGbi65yerzwshhBDimczMzHj77bd1ISgrK4s333wTHx8fhgwZUuJbiiQICSGEEEInMTERT09PNBoNS5cuxd3dnWnTppGSkmLo0gqEBCEhhBBC6JQpU4bVq1fz77//0rhxY5KTk/n000+pVasWv/zyCxqNxtAl6pUEISGEEEI8olmzZhw6dIiVK1dSpUoVbt68yaBBg9ixY4ehS9Mr6Sz9DNJZWgghRGmXlpbGV199xYEDB1i/fj0qlQqA5ORkrK2tDVzd40lnaSGEEELohYWFBePGjcsRgu7du0eNGjUYPnw4sbGxBq7w+UkQEkIIIUSuZIcggMDAQG7dusU333yDu7s7s2fPJj093YDVPR8JQkIIIYTIszfffJOdO3fi4+NDfHw848aNw8PDgz///JPi1OtGgpAQQgghnkvbtm05fvw4P//8M66urly9epVXXnmFli1bkpmZaejyckWCkBBCCCGem7GxMYMHD+bChQtMnToVKysrPDw8MDU1NXRpuSKjxp5BRo0JIYQQuRcVFYWJiQnly5cH4Ny5c/z4449MnDgRBweHQqtDRo0JIYQQotC5uLjoQhDAuHHjmDNnDu7u7nz99ddF7paZBCEhhBBCFJh3332XOnXqcOfOHUaMGIGXlxd//fVXkelQLUFICCGEEAWma9eunDx5ksWLF1O+fHkuXLhAz549adu2LcHBwYYuT4KQEEIIIQqWiYkJ7777LuHh4Xz88cdYWFiwZ88etm/fbujSpLP0s0hnaSGEEEK/IiIimDt3LjNnzsTCwqJArpHbz28JQs8gQUgIIYQofmTUmBBCCCHEM0gQEkIIIUSpJUFICCGEEKWWBCEhhBBClFoShIQQQghRakkQEkIIIUSpJUFICCGEEKWWBCEhhBBClFoShIQQQghRakkQEkIIIUSpJUFICCGEEKWWBCEhhBBClFoShIQQQghRakkQEkIIIUSpZWLoAoo6RVEASEhIMHAlQgghhMit7M/t7M/xJ5Eg9AyJiYkAuLm5GbgSIYQQQuRVYmIi9vb2T9yvUp4VlUo5jUZDZGQktra2qFSqR/Y3bNiQY8eOPde5n+e1CQkJuLm5cf36dezs7J7ruuLZ8vP3WhQVxfdjiJoK8pr6Prc+zic/n0qmovj/OT8K6v0oikJiYiKurq4YGT25J5C0CD2DkZERlSpVeuJ+Y2Pj5/4Pn5/X2tnZyQ+aApSfv5uiqCi+H0PUVJDX1Pe59XE++flUMhXF/8/5UZDv52ktQdmks3Q+DRs2zCCvFQWrpP3dFMX3Y4iaCvKa+j63Ps4nP59KppL2d2Po9yO3xoqZhIQE7O3tiY+PL1G/EQghij/5+SSKI2kRKmbMzc2ZPHky5ubmhi5FCCFykJ9PojiSFiEhhBBClFrSIiSEEEKIUkuCkBBCCCFKLQlCQgghhCi1JAgJIYQQotSSICSEEEKIUkuCUAnSq1cvypQpw0svvWToUoQQQuf69eu0bt0aT09P6tevz+rVqw1dkhA6Mny+BNm9ezdJSUksX76cNWvWGLocIYQAICoqilu3buHj40NMTAx+fn6cP38ea2trQ5cmhLQIlSRt2rTB1tbW0GUIIUQOLi4u+Pj4AODk5ISjoyN37941bFFC3CdBqIjYt28f3bp1w9XVFZVKxfr16x85ZtGiRVSrVg0LCwv8/f3Zv39/4RcqhCh19Pnz6fjx42g0Gtzc3Aq4aiFyR4JQEZGcnIy3tzfffPPNY/evWrWKUaNGMXHiREJCQmjRogVdunQhIiKikCsVQpQ2+vr5dOfOHQYOHMiSJUsKo2whckX6CBVBKpWKdevW0bNnT922xo0b4+fnx+LFi3Xb6tSpQ8+ePZkxY4Zu2549e/jmm2+kj5AQokA878+n9PR0OnTowJAhQxgwYEBhly3EE0mLUDGQkZFBUFAQHTt2zLG9Y8eOHDx40EBVCSFE7n4+KYrC4MGDadu2rYQgUeRIECoGYmNjUavVVKhQIcf2ChUqEB0drXveqVMn+vbty+bNm6lUqRLHjh0r7FKFEKVMbn4+HThwgFWrVrF+/Xp8fHzw8fHh1KlThihXiEeYGLoAkXsqlSrHc0VRcmzbtm1bYZckhBDA038+NW/eHI1GY4iyhHgmaREqBsqVK4exsXGO1h+AmJiYR34LE0KIwiQ/n0RxJ0GoGDAzM8Pf35/t27fn2L59+3YCAgIMVJUQQsjPJ1H8ya2xIiIpKYnw8HDd8ytXrhAaGoqjoyOVK1dm9OjRDBgwgAYNGtC0aVOWLFlCREQE7777rgGrFkKUBvLzSZRkMny+iNizZw9t2rR5ZPugQYNYtmwZoJ2wbNasWURFReHl5cX8+fNp2bJlIVcqhCht5OeTKMkkCAkhhBCi1JI+QkIIIYQotSQICSGEEKLUkiAkhBBCiFJLgpAQQgghSi0JQkIIIYQotSQICSGEEKLUkiAkhBBCiFJLgpAQQgghSi0JQkIIg2ndujWjRo0ydBk6iqLw9ttv4+joiEqlIjQ01NAlCSEKmKw1JoQQ923dupVly5axZ88eqlevTrly5QxdkhCigEkQEkKUKGq1GpVKhZFR3hu8L126hIuLi0FWTc/IyMDMzKzQrytEaSe3xoQo5Vq3bs2IESMYN24cjo6OODs7M2XKFN3+q1evPnKbKC4uDpVKxZ49ewDtopwqlYpt27bh6+uLpaUlbdu2JSYmhi1btlCnTh3s7Ozo168fKSkpOa6flZXF+++/j4ODA2XLluWTTz7h4SUQMzIyGDduHBUrVsTa2prGjRvrrguwbNkyHBwc2LRpE56enpibm3Pt2rXHvte9e/fSqFEjzM3NcXFx4aOPPiIrKwuAwYMHM3z4cCIiIlCpVFStWvWx58i+3vr166lVqxYWFhZ06NCB69ev6465dOkSPXr0oEKFCtjY2NCwYUN27NiR4zxVq1Zl2rRpDB48GHt7e4YMGQLA+PHjqVWrFlZWVlSvXp1PP/2UzMxM3eumTJmCj48PP/30E5UrV8bGxob33nsPtVrNrFmzcHZ2xsnJiS+++CLH9aZMmULlypUxNzfH1dWVESNGPPb9CVHqKEKIUq1Vq1aKnZ2dMmXKFOXChQvK8uXLFZVKpfzzzz+KoijKlStXFEAJCQnRvebevXsKoOzevVtRFEXZvXu3AihNmjRR/v33XyU4OFhxd3dXWrVqpXTs2FEJDg5W9u3bp5QtW1b58ssvc1zbxsZGGTlypHLu3Dnlt99+U6ysrJQlS5bojunfv78SEBCg7Nu3TwkPD1dmz56tmJubKxcuXFAURVF+/vlnxdTUVAkICFAOHDignDt3TklKSnrkfd64cUOxsrJShg4dqpw9e1ZZt26dUq5cOWXy5MmKoihKXFyc8tlnnymVKlVSoqKilJiYmMf+eWVfr0GDBsrBgweV48ePK40aNVICAgJ0x4SGhirfffedcvLkSeXChQvKxIkTFQsLC+XatWu6Y6pUqaLY2dkps2fPVi5evKhcvHhRURRF+fzzz5UDBw4oV65cUTZs2KBUqFBBmTlzpu51kydPVmxsbJSXXnpJOXPmjLJhwwbFzMxM6dSpkzJ8+HDl3Llzyk8//aQAyqFDhxRFUZTVq1crdnZ2yubNm5Vr164pR44cyfFnLERpJkFIiFKuVatWSvPmzXNsa9iwoTJ+/HhFUfIWhHbs2KE7ZsaMGQqgXLp0SbftnXfeUTp16pTj2nXq1FE0Go1u2/jx45U6deooiqIo4eHhikqlUm7evJmjvnbt2ikff/yxoijaYAIooaGhT32fEyZMUGrXrp3jWt9++61iY2OjqNVqRVEUZf78+UqVKlWeep7s6x0+fFi37ezZswqgHDly5Imv8/T0VL7++mvd8ypVqig9e/Z86rUURVFmzZql+Pv7655PnjxZsbKyUhISEnTbOnXqpFStWlX3PhRFUWrXrq3MmDFDURRFmTt3rlKrVi0lIyPjmdcTorSRW2NCCOrXr5/juYuLCzExMfk6T4UKFXS3dx7e9t/zNmnSBJVKpXvetGlTLl68iFqtJjg4GEVRqFWrFjY2NrqvvXv3cunSJd1rzMzMHnkP/3X27FmaNm2a41rNmjUjKSmJGzdu5Ol9mpiY0KBBA91zDw8PHBwcOHv2LADJycmMGzcOT09PHBwcsLGx4dy5c0REROQ4z8PnyLZmzRqaN2+Os7MzNjY2fPrpp4+8rmrVqtja2uqeV6hQAU9Pzxz9oh7+s+7bty+pqalUr16dIUOGsG7dOt0tQSFKO+ksLYTA1NQ0x3OVSoVGowHQfbgqD/XbebjPypPOo1Kpnnre3NBoNBgbGxMUFISxsXGOfTY2NrrHlpaWOQLO4yiK8sgx2e/pWa99nMe9Jnvb2LFj2bZtG3PmzMHd3R1LS0teeuklMjIychxvbW2d4/nhw4d59dVXmTp1Kp06dcLe3p4//viDuXPn5jjucX+uT/uzdnNz4/z582zfvp0dO3YwdOhQZs+ezd69ex95nRCljQQhIcRTlS9fHoCoqCh8fX0B9Dq/zuHDhx95XrNmTYyNjfH19UWtVhMTE0OLFi3ydR1PT0/Wrl2bIxAdPHgQW1tbKlasmKdzZWVlcfz4cRo1agTA+fPniYuLw8PDA4D9+/czePBgevXqBUBSUhJXr1595nkPHDhAlSpVmDhxom7bkzp+55WlpSXdu3ene/fuDBs2DA8PD06dOoWfn59ezi9EcSW3xoQQT2VpaUmTJk348ssvCQsLY9++fXzyySd6O//169cZPXo058+fZ+XKlXz99deMHDkSgFq1avHaa68xcOBAAgMDuXLlCseOHWPmzJls3rw5T9cZOnQo169fZ/jw4Zw7d46//vqLyZMnM3r06DwPtTc1NWX48OEcOXKE4OBg3njjDZo0aaILRu7u7gQGBhIaGsqJEyfo379/rlrC3N3diYiI4I8//uDSpUt89dVXrFu3Lk+1Pc6yZcv48ccfOX36NJcvX+bXX3/F0tKSKlWq5PvcQhR3EoSEEM/0008/kZmZSYMGDRg5ciTTpk3T27kHDhxIamoqjRo1YtiwYQwfPpy3335bt//nn39m4MCBfPjhh9SuXZvu3btz5MgR3Nzc8nSdihUrsnnzZo4ePYq3tzfvvvsub7755nOFOisrK8aPH0///v1p2rQplpaW/PHHH7r98+fPp0yZMgQEBNCtWzc6deqUq5aXHj168MEHH/D+++/j4+PDwYMH+fTTT/Nc3385ODjwww8/0KxZM+rXr8/OnTvZuHEjZcuWzfe5hSjuVMrDN/6FEEI81bJlyxg1ahRxcXGGLkUIoQfSIiSEEEKIUkuCkBBCCCFKLbk1JoQQQohSS1qEhBBCCFFqSRASQgghRKklQUgIIYQQpZYEISGEEEKUWhKEhBBCCFFqSRASQgghRKklQUgIIYQQpZYEISGEEEKUWhKEhBBCCFFq/R9bhyOglDbkiQAAAABJRU5ErkJggg==\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "n_params = 3 * grids\n", - "train_vs_G = train_losses[(steps-1)::steps]\n", - "test_vs_G = test_losses[(steps-1)::steps]\n", - "plt.plot(n_params, train_vs_G, marker=\"o\")\n", - "plt.plot(n_params, test_vs_G, marker=\"o\")\n", - "plt.plot(n_params, 100*n_params**(-4.), ls=\"--\", color=\"black\")\n", - "plt.xscale('log')\n", - "plt.yscale('log')\n", - "plt.legend(['train', 'test', r'$N^{-4}$'])\n", - "plt.xlabel('number of params')\n", - "plt.ylabel('RMSE')" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "2c521e5e", - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.7" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/tutorials/Example_2_speed_up.ipynb b/tutorials/Example_2_speed_up.ipynb deleted file mode 100644 index c6f9c60d..00000000 --- a/tutorials/Example_2_speed_up.ipynb +++ /dev/null @@ -1,371 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "5d904dee", - "metadata": {}, - "source": [ - "# Example 2: Speeding up\n", - "\n", - "Major concerns about KANs are their slow running speed and huge memory. This is mainly due to the naive implementation of the first version. We have done a few efficiency updates in the new release. \n", - "\n", - "* We update the spline evaluation method, inspired from the efficientKAN repo.\n", - "* We provide a method to speed up training, simply call model = model.speed(). In this speed mode, the symbolic front is skipped (which will save computation time), and intermediate activations are not saved (which save memory)." - ] - }, - { - "cell_type": "markdown", - "id": "bc709a73", - "metadata": {}, - "source": [ - "### Below we compare the normal mode and the speed mode" - ] - }, - { - "cell_type": "markdown", - "id": "94056ef6", - "metadata": {}, - "source": [ - "The Normal mode without speeding" - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "id": "0a59179d", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Directory already exists: ./model\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 1.45e+01 | test loss: 2.91e+01 | reg: 6.95e+03 : 100%|██| 10/10 [00:06<00:00, 1.66it/s]\n" - ] - } - ], - "source": [ - "from kan import *\n", - "\n", - "seed = 1\n", - "torch.manual_seed(seed)\n", - "\n", - "# initialize KAN with G=3\n", - "model = KAN(width=[2,30,30,1], grid=3, k=3, seed=1)\n", - "\n", - "# create dataset\n", - "f = lambda x: torch.exp(torch.sin(torch.pi*x[:,[0]]) + x[:,[1]]**2)\n", - "dataset = create_dataset(f, n_var=2)\n", - "model.fit(dataset, opt=\"Adam\", steps=10, update_grid=False);" - ] - }, - { - "cell_type": "markdown", - "id": "ffe10f34", - "metadata": {}, - "source": [ - "The speed mode" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "id": "1233ed39", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Directory already exists: ./model\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 1.53e+01 | test loss: 2.52e+01 | reg: 0.00e+00 : 100%|██| 10/10 [00:00<00:00, 10.03it/s]\n" - ] - } - ], - "source": [ - "from kan import *\n", - "\n", - "seed = 1\n", - "torch.manual_seed(seed)\n", - "\n", - "# initialize KAN with G=3\n", - "model = KAN(width=[2,30,30,1], grid=3, k=3, seed=1)\n", - "model = model.speed()\n", - "\n", - "# create dataset\n", - "f = lambda x: torch.exp(torch.sin(torch.pi*x[:,[0]]) + x[:,[1]]**2)\n", - "dataset = create_dataset(f, n_var=2)\n", - "model.fit(dataset, opt=\"Adam\", steps=10, update_grid=False);" - ] - }, - { - "cell_type": "markdown", - "id": "414ec95d", - "metadata": {}, - "source": [ - "However, the speed mode does not save intermediate activations." - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "id": "2c521e5e", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "[]" - ] - }, - "execution_count": 3, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "model.acts_scale" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "id": "1aa0659e", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "[tensor([[ 7.6856, 16.2691],\n", - " [15.3356, 4.7036],\n", - " [ 1.7350, 0.5762],\n", - " [13.7567, 0.6547],\n", - " [ 2.0027, 1.1051],\n", - " [ 1.3028, 28.8967],\n", - " [ 3.1434, 0.9702],\n", - " [20.5310, 0.9579],\n", - " [10.5522, 3.1435],\n", - " [ 1.8792, 2.7931],\n", - " [27.2825, 5.3805],\n", - " [ 5.1843, 0.9814],\n", - " [ 5.2057, 5.5816],\n", - " [ 9.4054, 0.3300],\n", - " [ 8.7830, 1.9473],\n", - " [ 1.6670, 5.7267],\n", - " [ 6.4220, 28.1405],\n", - " [18.4623, 10.7246],\n", - " [33.4021, 0.9486],\n", - " [ 1.6931, 3.2448],\n", - " [ 7.3774, 16.6039],\n", - " [ 1.5200, 1.4180],\n", - " [ 6.8054, 0.9019],\n", - " [ 1.9008, 1.0136],\n", - " [ 0.4024, 4.3498],\n", - " [ 4.3653, 5.3940],\n", - " [ 4.2989, 3.5657],\n", - " [ 4.5522, 0.4301],\n", - " [ 0.5495, 0.2769],\n", - " [24.9288, 4.5964]]),\n", - " tensor([[4.4354e+00, 5.6637e-02, 4.2377e+00, 8.8434e-01, 3.7175e+00, 8.9901e-01,\n", - " 2.0012e+00, 7.9254e-01, 1.5717e+00, 8.3965e-12, 9.4111e-01, 2.7945e+00,\n", - " 2.3130e-01, 1.0786e+00, 2.0924e+00, 1.8385e-06, 7.8853e-01, 1.8605e+00,\n", - " 1.0704e+00, 3.3280e-08, 9.1237e-01, 1.3574e-14, 7.1152e-14, 9.1538e-01,\n", - " 1.8903e+00, 2.8360e+00, 1.7248e-09, 2.8683e+00, 1.6309e+00, 2.7791e-01],\n", - " [2.7741e+00, 1.7333e-01, 4.0277e+00, 6.1746e-01, 2.4397e+00, 8.5001e-01,\n", - 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" 3.6569e-01, 2.2733e+00, 6.4200e-02, 1.0380e-06, 6.1132e-01, 4.4997e-01,\n", - " 1.0535e+00, 4.2998e-09, 8.5013e-01, 2.4626e-14, 6.8968e-14, 4.9795e+00,\n", - " 1.6740e+00, 1.8986e+00, 1.9389e-09, 3.5265e+00, 3.2236e+00, 7.8258e-02],\n", - " [2.6591e+00, 7.9823e-02, 3.3652e+00, 8.2330e-01, 4.3604e+00, 8.3722e-01,\n", - " 4.1932e+00, 1.5685e+00, 1.5388e+00, 1.2528e-11, 8.2972e-01, 2.9508e+00,\n", - " 3.8028e-01, 2.0163e+00, 3.1038e+00, 1.0608e-06, 5.5961e-01, 2.1320e+00,\n", - " 1.9303e+00, 3.6078e-08, 1.0092e+00, 1.7196e-14, 1.1954e-13, 8.1442e+00,\n", - " 2.6229e+00, 2.9574e+00, 1.0425e-09, 3.0335e+00, 1.5076e+01, 2.3407e-01],\n", - " [2.6346e+00, 1.0826e-01, 2.3256e+00, 9.8563e-01, 2.0622e+00, 9.6685e-01,\n", - " 6.1216e-01, 5.1432e-01, 1.1011e+00, 8.4878e-12, 9.0861e-01, 1.4643e+00,\n", - " 2.2213e-01, 1.7886e+00, 3.5816e+00, 2.0015e-06, 3.5627e-01, 2.7970e+00,\n", - " 1.4387e+00, 3.5869e-08, 8.4443e-01, 1.2872e-14, 1.2780e-13, 5.5024e+00,\n", - " 3.9389e+00, 2.7262e+00, 9.9537e-10, 1.9653e+00, 2.5938e+00, 2.3006e-01],\n", - " [4.2678e+00, 1.9903e-02, 3.8227e+00, 6.5938e-01, 5.1752e+00, 3.6617e-01,\n", - " 6.0096e-01, 1.4982e+00, 1.9169e-01, 3.5221e-12, 6.0433e-01, 1.9519e+00,\n", - " 2.4719e-01, 7.8279e-01, 1.5779e+00, 9.7484e-07, 1.5838e-01, 1.8141e+00,\n", - " 1.8866e+00, 2.7451e-08, 1.6971e+00, 5.8982e-15, 4.5401e-14, 1.6402e+00,\n", - " 1.5726e+00, 2.7363e+00, 5.7048e-10, 3.0334e+00, 5.7986e+00, 6.6437e-02],\n", - " [4.1412e+00, 1.4827e-01, 6.5206e+00, 1.1945e+00, 3.8590e+00, 1.6201e+00,\n", - " 3.2736e+00, 1.6046e+00, 1.9894e+00, 1.7346e-11, 1.3626e+00, 3.9205e+00,\n", - " 1.6820e-01, 2.1799e+00, 7.2165e-01, 2.0063e-06, 8.0039e-01, 3.0162e+00,\n", - " 1.6942e+00, 1.3580e-09, 1.2274e+00, 2.5733e-14, 1.4663e-13, 5.4378e+00,\n", - " 3.3899e+00, 3.3364e+00, 1.7597e-09, 1.8485e+00, 1.8154e+00, 4.0665e-01],\n", - " [1.7175e+00, 9.6331e-02, 4.2227e+00, 5.7334e-01, 1.6949e+00, 1.0976e+00,\n", - " 2.8887e+00, 1.0743e+00, 7.4266e-01, 8.8706e-12, 7.6744e-01, 7.8671e-01,\n", - " 2.5058e-01, 1.9733e+00, 2.5570e+00, 1.9162e-06, 4.6122e-01, 2.3221e+00,\n", - " 1.5756e+00, 3.2919e-08, 9.5216e-01, 1.4645e-14, 1.3467e-13, 4.6060e+00,\n", - " 1.9789e+00, 3.2284e+00, 8.3445e-10, 3.0383e+00, 1.8058e+00, 2.2853e-01],\n", - " [2.3204e+00, 1.6079e-01, 2.7723e+00, 6.1717e-01, 2.4717e+00, 7.9156e-01,\n", - " 7.0750e-01, 1.0640e+00, 3.3363e-01, 1.1368e-11, 9.3369e-01, 5.7124e-01,\n", - " 1.1679e-01, 1.8633e+00, 2.7119e+00, 1.8430e-06, 3.3116e-01, 2.0191e+00,\n", - " 2.3322e+00, 3.1797e-08, 1.0036e+00, 1.4443e-14, 1.2325e-13, 5.0863e+00,\n", - " 2.7657e+00, 2.8643e+00, 1.1279e-09, 2.7509e+00, 2.0778e+00, 2.2715e-01],\n", - " [4.6174e+00, 4.5653e-02, 4.3581e+00, 3.4115e-01, 3.7316e+00, 6.1426e-01,\n", - " 1.0902e+00, 1.8812e+00, 1.2897e+00, 1.0610e-11, 5.2964e-01, 1.1701e+00,\n", - " 9.6843e-02, 1.2852e+00, 3.5282e+00, 1.2262e-06, 2.7302e-01, 8.1845e-01,\n", - " 9.4639e-01, 1.5690e-08, 5.3619e-01, 4.6107e-15, 1.3429e-13, 2.3928e+00,\n", - " 4.2985e+00, 6.9696e-01, 5.2320e-10, 1.5178e+00, 1.6299e+00, 2.9501e-01],\n", - " [4.5484e+00, 8.3778e-02, 4.0664e+00, 1.2043e+00, 3.1747e+00, 2.1460e+00,\n", - " 2.4384e+00, 1.0987e+00, 3.9380e-01, 1.9647e-11, 2.0224e+00, 3.7419e-01,\n", - " 3.0129e-02, 1.9915e-01, 4.4007e+00, 1.3485e-06, 1.2234e+00, 5.2071e+00,\n", - " 1.1689e+00, 3.9132e-08, 7.5287e-01, 2.6759e-14, 5.8267e-14, 4.0041e+00,\n", - " 6.2831e-01, 1.0457e+00, 1.4252e-09, 1.8536e+00, 8.2997e-01, 4.2599e-01],\n", - " [4.9122e+00, 1.4955e-02, 5.1885e+00, 5.4270e-01, 2.5415e+00, 4.8918e-01,\n", - " 2.9930e+00, 1.8103e+00, 4.5803e-01, 2.7637e-12, 1.7019e-01, 9.7642e-01,\n", - " 1.8464e-01, 5.7884e-01, 4.5927e+00, 9.7754e-07, 2.2764e-01, 7.6643e-01,\n", - " 3.6063e-01, 1.1229e-08, 3.1307e-01, 3.3746e-15, 7.7355e-14, 1.9151e+00,\n", - " 4.0543e+00, 1.0374e+00, 3.7742e-10, 1.4498e+00, 3.4803e+00, 1.4359e-01],\n", - " [4.4921e+00, 2.6448e-02, 2.4570e+00, 6.0745e-01, 3.1722e+00, 3.1898e-01,\n", - " 6.5110e-01, 1.4345e+00, 2.2791e-01, 1.4314e-12, 1.8415e-01, 1.7340e-01,\n", - " 7.6617e-02, 2.1373e+00, 1.6081e+00, 7.4545e-07, 2.1735e-01, 4.0267e-01,\n", - " 2.8377e-01, 1.2359e-08, 4.7323e-01, 5.2978e-15, 6.7723e-14, 1.9885e+00,\n", - " 4.3402e+00, 9.6498e-01, 3.8371e-10, 9.8866e-01, 2.1566e+00, 1.9733e-01]]),\n", - " tensor([[8.0486e-23, 0.0000e+00, 6.6755e-20, 0.0000e+00, 0.0000e+00, 0.0000e+00,\n", - " 0.0000e+00, 1.6415e-10, 0.0000e+00, 2.9900e-02, 2.8350e-16, 1.0642e-20,\n", - " 2.1081e-22, 2.0802e-01, 8.2120e-14, 0.0000e+00, 6.9611e-08, 0.0000e+00,\n", - " 2.0685e-02, 0.0000e+00, 7.1422e-22, 0.0000e+00, 1.9870e-02, 1.4698e-02,\n", - " 0.0000e+00, 1.3654e-33, 4.5392e-02, 0.0000e+00, 1.3617e-01, 1.4280e-13]])]" - ] - }, - "execution_count": 4, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "model.save_plot_data = True\n", - "model.get_act(dataset)\n", - "model.acts_scale" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.7" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/tutorials/Example_3_deep_formula.ipynb b/tutorials/Example_3_deep_formula.ipynb deleted file mode 100644 index f68b7673..00000000 --- a/tutorials/Example_3_deep_formula.ipynb +++ /dev/null @@ -1,320 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "134e7f9d", - "metadata": {}, - "source": [ - "# Example 3: Deep Formulas\n", - "\n", - "The orignal Kolmogorov-Arnold theorem says that it suffices to have 2-Layer function composition (inner and outer functions), but the functions might be non-smooth or even fractal. We generalize KA representation to arbitrary depths. An example a 2-Layer KAN (with smooth activations) is unable to do is: $f(x_1,x_2,x_3,x_4)={\\rm exp}({\\rm sin}(x_1^2+x_2^2)+{\\rm sin}(x_3^2+x_4^2))$, which requires at least 3-Layer KANs." - ] - }, - { - "cell_type": "markdown", - "id": "7854503c", - "metadata": {}, - "source": [ - "### Three-layer KAN" - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "id": "2075ef56", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 2.39e-02 | test loss: 2.39e-02 | reg: 6.00e+00 : 100%|██| 20/20 [00:18<00:00, 1.09it/s]\n" - ] - } - ], - "source": [ - "from kan import *\n", - "\n", - "# create a KAN: 2D inputs, 1D output, and 5 hidden neurons. cubic spline (k=3), 5 grid intervals (grid=5).\n", - "model = KAN(width=[4,2,1,1], grid=3, k=3, seed=1)\n", - "f = lambda x: torch.exp((torch.sin(torch.pi*(x[:,[0]]**2+x[:,[1]]**2))+torch.sin(torch.pi*(x[:,[2]]**2+x[:,[3]]**2)))/2)\n", - "dataset = create_dataset(f, n_var=4, train_num=3000)\n", - "\n", - "# train the model\n", - "model.fit(dataset, opt=\"LBFGS\", steps=20, lamb=0.002, lamb_entropy=2.);" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "id": "d81e80f7", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.plot(beta=10)" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "id": "b8c880c1", - "metadata": {}, - "outputs": [], - "source": [ - "model = model.prune(edge_th=5e-2)" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "id": "585b699c", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.plot()" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "id": "ee39c97b", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 4.80e-03 | test loss: 5.09e-03 | reg: 5.47e+00 : 100%|██| 50/50 [00:46<00:00, 1.08it/s]\n", - "train loss: 1.83e-03 | test loss: 1.85e-03 | reg: 5.63e+00 : 100%|██| 50/50 [00:48<00:00, 1.04it/s]\n", - "train loss: 1.42e-04 | test loss: 1.41e-04 | reg: 5.63e+00 : 100%|██| 50/50 [00:40<00:00, 1.23it/s]\n", - "train loss: 1.68e-05 | test loss: 1.67e-05 | reg: 5.63e+00 : 100%|██| 50/50 [00:36<00:00, 1.35it/s]\n", - "train loss: 5.21e-06 | test loss: 4.05e-06 | reg: 5.63e+00 : 100%|██| 50/50 [00:46<00:00, 1.08it/s]\n" - ] - } - ], - "source": [ - "grids = [3,5,10,20,50]\n", - "#grids = [5]\n", - "\n", - "train_rmse = []\n", - "test_rmse = []\n", - "\n", - "for i in range(len(grids)):\n", - " model = KAN(width=[4,2,1,1], grid=grids[i], k=3, seed=0).initialize_from_another_model(model, dataset['train_input'])\n", - " results = model.fit(dataset, opt=\"LBFGS\", steps=50, stop_grid_update_step=30);\n", - " train_rmse.append(results['train_loss'][-1].item())\n", - " test_rmse.append(results['test_loss'][-1].item())" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "id": "94f3930a", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "[0.00480159604921937, 0.0018265467369928956, 0.0001422630884917453, 1.6824298654682934e-05, 5.211888037592871e-06]\n", - "[0.005089011508971453, 0.001845053629949689, 0.00014135859964881092, 1.6715566744096577e-05, 4.054095370520372e-06]\n" - ] - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "import numpy as np\n", - "import matplotlib.pyplot as plt\n", - "\n", - "n_params = np.array(grids) * (4*2+2*1+1*1)\n", - "plt.plot(n_params, train_rmse, marker=\"o\")\n", - "plt.plot(n_params, test_rmse, marker=\"o\")\n", - "plt.plot(n_params, 10000*n_params**(-4.), color=\"black\", ls=\"--\")\n", - "plt.legend(['train', 'test', r'$N^{-4}$'], loc=\"lower left\")\n", - "plt.xscale('log')\n", - "plt.yscale('log')\n", - "print(train_rmse)\n", - "print(test_rmse)" - ] - }, - { - "cell_type": "markdown", - "id": "f53644fe", - "metadata": {}, - "source": [ - "### Two-layer KAN\n", - "\n", - "Now we show that a 2 two-layer KAN performs much worse for this task" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "id": "ae7b654b", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 6.72e-02 | test loss: 6.97e-02 | reg: 7.20e+00 : 100%|██| 20/20 [00:30<00:00, 1.52s/it]\n" - ] - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "from kan import KAN, create_dataset\n", - "import torch\n", - "\n", - "# create a KAN: 2D inputs, 1D output, and 5 hidden neurons. cubic spline (k=3), 5 grid intervals (grid=5).\n", - "model = KAN(width=[4,9,1], grid=3, k=3, seed=0)\n", - "f = lambda x: torch.exp((torch.sin(torch.pi*(x[:,[0]]**2+x[:,[1]]**2))+torch.sin(torch.pi*(x[:,[2]]**2+x[:,[3]]**2)))/2)\n", - "dataset = create_dataset(f, n_var=4, train_num=3000)\n", - "\n", - "# train the model\n", - "model.fit(dataset, opt=\"LBFGS\", steps=20, lamb=0.002, lamb_entropy=2.);\n", - "model.plot(beta=10)" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "id": "869828f2", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 3.59e-02 | test loss: 5.23e-02 | reg: 1.04e+01 : 100%|██| 50/50 [01:18<00:00, 1.57s/it]\n", - "train loss: 2.28e-02 | test loss: 3.10e-02 | reg: 1.04e+01 : 100%|██| 50/50 [01:25<00:00, 1.70s/it]\n", - "train loss: 8.34e-03 | test loss: 1.09e-02 | reg: 1.03e+01 : 100%|██| 50/50 [01:32<00:00, 1.86s/it]\n", - "train loss: 5.71e-03 | test loss: 1.06e-02 | reg: 9.86e+00 : 100%|██| 50/50 [01:45<00:00, 2.10s/it]\n", - "train loss: 1.03e-02 | test loss: 6.30e-02 | reg: 9.68e+00 : 100%|██| 50/50 [01:57<00:00, 2.36s/it]\n" - ] - } - ], - "source": [ - "grids = [3,5,10,20,50]\n", - "\n", - "train_rmse = []\n", - "test_rmse = []\n", - "\n", - "for i in range(len(grids)):\n", - " model = KAN(width=[4,9,1], grid=grids[i], k=3, seed=0).initialize_from_another_model(model, dataset['train_input'])\n", - " results = model.fit(dataset, opt=\"LBFGS\", steps=50, stop_grid_update_step=30);\n", - " train_rmse.append(results['train_loss'][-1].item())\n", - " test_rmse.append(results['test_loss'][-1].item())" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "id": "4f0a99fd", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "[0.035936225205659866, 0.02279285155236721, 0.00833611935377121, 0.005708411335945129, 0.010341067798435688]\n", - "[0.05229281634092331, 0.031011207029223442, 0.010879972018301487, 0.010645035654306412, 0.06304473429918289]\n" - ] - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "import numpy as np\n", - "import matplotlib.pyplot as plt\n", - "\n", - "n_params = np.array(grids) * (4*9+9*1)\n", - "plt.plot(n_params, train_rmse, marker=\"o\")\n", - "plt.plot(n_params, test_rmse, marker=\"o\")\n", - "plt.plot(n_params, 300*n_params**(-2.), color=\"black\", ls=\"--\")\n", - "plt.legend(['train', 'test', r'$N^{-4}$'], loc=\"lower left\")\n", - "plt.xscale('log')\n", - "plt.yscale('log')\n", - "print(train_rmse)\n", - "print(test_rmse)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "5776b6e1", - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.7" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/tutorials/Example_4_classfication.ipynb b/tutorials/Example_4_classfication.ipynb deleted file mode 100644 index bf56c09b..00000000 --- a/tutorials/Example_4_classfication.ipynb +++ /dev/null @@ -1,440 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "5d904dee", - "metadata": {}, - "source": [ - "# Example 4: Classification" - ] - }, - { - "cell_type": "markdown", - "id": "31bcb9ac", - "metadata": {}, - "source": [ - "## Regression formulation\n", - "\n", - "Let's first treat the problem as a regression problem (output dimension = 1, MSE loss). " - ] - }, - { - "cell_type": "markdown", - "id": "908489de", - "metadata": {}, - "source": [ - "create the two moon dataset" - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "id": "763d1fb4", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 1, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "from kan import *\n", - "import matplotlib.pyplot as plt\n", - "from sklearn.datasets import make_moons\n", - "import numpy as np\n", - "\n", - "dataset = {}\n", - "train_input, train_label = make_moons(n_samples=1000, shuffle=True, noise=0.1, random_state=None)\n", - "test_input, test_label = make_moons(n_samples=1000, shuffle=True, noise=0.1, random_state=None)\n", - "\n", - "dtype = torch.get_default_dtype()\n", - "dataset['train_input'] = torch.from_numpy(train_input).type(dtype)\n", - "dataset['test_input'] = torch.from_numpy(test_input).type(dtype)\n", - "dataset['train_label'] = torch.from_numpy(train_label[:,None]).type(dtype)\n", - "dataset['test_label'] = torch.from_numpy(test_label[:,None]).type(dtype)\n", - "\n", - "X = dataset['train_input']\n", - "y = dataset['train_label']\n", - "plt.scatter(X[:,0], X[:,1], c=y[:,0])" - ] - }, - { - "cell_type": "markdown", - "id": "06649143", - "metadata": {}, - "source": [ - "Train KAN" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "id": "0a59179d", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 1.57e-01 | test loss: 1.60e-01 | reg: 3.63e+00 : 100%|██| 20/20 [00:01<00:00, 14.50it/s]\n" - ] - }, - { - "data": { - "text/plain": [ - "(0.9990000128746033, 0.9990000128746033)" - ] - }, - "execution_count": 2, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "model = KAN(width=[2,1], grid=3, k=3)\n", - "\n", - "def train_acc():\n", - " return torch.mean((torch.round(model(dataset['train_input'])[:,0]) == dataset['train_label'][:,0]).type(dtype))\n", - "\n", - "def test_acc():\n", - " return torch.mean((torch.round(model(dataset['test_input'])[:,0]) == dataset['test_label'][:,0]).type(dtype))\n", - "\n", - "results = model.fit(dataset, opt=\"LBFGS\", steps=20, metrics=(train_acc, test_acc));\n", - "results['train_acc'][-1], results['test_acc'][-1]" - ] - }, - { - "cell_type": "markdown", - "id": "2d92afc4", - "metadata": {}, - "source": [ - "Automatic symbolic regression" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "id": "ec64a6b4", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "fixing (0,0,0) with sin, r2=0.975803017616272, c=2\n", - "fixing (0,1,0) with x, r2=0.9723848104476929, c=1\n" - ] - }, - { - "data": { - "text/latex": [ - "$\\displaystyle - 0.8594 x_{2} - 0.3941 \\sin{\\left(3.0987 x_{1} - 1.5582 \\right)} + 0.7172$" - ], - "text/plain": [ - "-0.8594*x_2 - 0.3941*sin(3.0987*x_1 - 1.5582) + 0.7172" - ] - }, - "execution_count": 3, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "lib = ['x','x^2','x^3','x^4','exp','log','sqrt','tanh','sin','tan','abs']\n", - "model.auto_symbolic(lib=lib)\n", - "formula = model.symbolic_formula()[0][0]\n", - "ex_round(formula, 4)" - ] - }, - { - "cell_type": "markdown", - "id": "cee6c7c8", - "metadata": {}, - "source": [ - "How accurate is this formula?" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "id": "dd5226ea", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "train acc of the formula: tensor(1.)\n", - "test acc of the formula: tensor(0.9990)\n" - ] - } - ], - "source": [ - "# how accurate is this formula?\n", - "def acc(formula, X, y):\n", - " batch = X.shape[0]\n", - " correct = 0\n", - " for i in range(batch):\n", - " correct += np.round(np.array(formula.subs('x_1', X[i,0]).subs('x_2', X[i,1])).astype(np.float64)) == y[i,0]\n", - " return correct/batch\n", - "\n", - "print('train acc of the formula:', acc(formula, dataset['train_input'], dataset['train_label']))\n", - "print('test acc of the formula:', acc(formula, dataset['test_input'], dataset['test_label']))" - ] - }, - { - "cell_type": "markdown", - "id": "8a77c90a", - "metadata": {}, - "source": [ - "## Classification formulation\n", - "\n", - "Let's then treat the problem as a classification problem (output dimension = 2, CrossEntropy loss). " - ] - }, - { - "cell_type": "markdown", - "id": "b03f2dd0", - "metadata": {}, - "source": [ - "Create the two moon datatset" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "id": "71c1d738", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 5, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "from kan import KAN\n", - "import matplotlib.pyplot as plt\n", - "from sklearn.datasets import make_moons\n", - "import torch\n", - "import numpy as np\n", - "\n", - "dataset = {}\n", - "train_input, train_label = make_moons(n_samples=1000, shuffle=True, noise=0.1, random_state=None)\n", - "test_input, test_label = make_moons(n_samples=1000, shuffle=True, noise=0.1, random_state=None)\n", - "\n", - "dataset['train_input'] = torch.from_numpy(train_input).type(dtype)\n", - "dataset['test_input'] = torch.from_numpy(test_input).type(dtype)\n", - "dataset['train_label'] = torch.from_numpy(train_label).type(torch.long)\n", - "dataset['test_label'] = torch.from_numpy(test_label).type(torch.long)\n", - "\n", - "X = dataset['train_input']\n", - "y = dataset['train_label']\n", - "plt.scatter(X[:,0], X[:,1], c=y[:])" - ] - }, - { - "cell_type": "markdown", - "id": "494fe1d3", - "metadata": {}, - "source": [ - "### Train KAN" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "id": "13ec74e5", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 3.94e-05 | test loss: 5.00e-01 | reg: 1.52e+04 : 100%|██| 20/20 [00:02<00:00, 9.35it/s]\n" - ] - } - ], - "source": [ - "model = KAN(width=[2,2], grid=3, k=3)\n", - "\n", - "def train_acc():\n", - " return torch.mean((torch.argmax(model(dataset['train_input']), dim=1) == dataset['train_label']).type(dtype))\n", - "\n", - "def test_acc():\n", - " return torch.mean((torch.argmax(model(dataset['test_input']), dim=1) == dataset['test_label']).type(dtype))\n", - "\n", - "results = model.fit(dataset, opt=\"LBFGS\", steps=20, metrics=(train_acc, test_acc), loss_fn=torch.nn.CrossEntropyLoss());" - ] - }, - { - "cell_type": "markdown", - "id": "5e36b0f3", - "metadata": {}, - "source": [ - "Automatic symbolic regression" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "id": "91b4c228", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "fixing (0,0,0) with sin, r2=0.9947189092636108, c=2\n", - "fixing (0,0,1) with sin, r2=0.9957412481307983, c=2\n", - "fixing (0,1,0) with x, r2=0.8554980754852295, c=1\n", - "fixing (0,1,1) with x, r2=0.8216891884803772, c=1\n" - ] - } - ], - "source": [ - "lib = ['x','x^2','x^3','x^4','exp','log','sqrt','tanh','sin','abs']\n", - "model.auto_symbolic(lib=lib)" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "id": "83606957", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle 1603.3414 x_{2} - 10662.2939 \\sin{\\left(2.098 x_{1} + 8.1668 \\right)} - 2805.9184$" - ], - "text/plain": [ - "1603.3414*x_2 - 10662.2939*sin(2.098*x_1 + 8.1668) - 2805.9184" - ] - }, - "execution_count": 8, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "formula1, formula2 = model.symbolic_formula()[0]\n", - "ex_round(formula1, 4)" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "id": "9fa988e3", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle - 858.4062 x_{2} + 10339.7666 \\sin{\\left(1.8559 x_{1} - 7.4117 \\right)} - 2037.7221$" - ], - "text/plain": [ - "-858.4062*x_2 + 10339.7666*sin(1.8559*x_1 - 7.4117) - 2037.7221" - ] - }, - "execution_count": 9, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "ex_round(formula2, 4)" - ] - }, - { - "cell_type": "markdown", - "id": "0cfce819", - "metadata": {}, - "source": [ - "How accurate is this formula?" - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "id": "ecd368f8", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "train acc of the formula: tensor(0.9940)\n", - "test acc of the formula: tensor(0.9970)\n" - ] - } - ], - "source": [ - "# how accurate is this formula?\n", - "def acc(formula1, formula2, X, y):\n", - " batch = X.shape[0]\n", - " correct = 0\n", - " for i in range(batch):\n", - " logit1 = np.array(formula1.subs('x_1', X[i,0]).subs('x_2', X[i,1])).astype(np.float64)\n", - " logit2 = np.array(formula2.subs('x_1', X[i,0]).subs('x_2', X[i,1])).astype(np.float64)\n", - " correct += (logit2 > logit1) == y[i]\n", - " return correct/batch\n", - "\n", - "print('train acc of the formula:', acc(formula1, formula2, dataset['train_input'], dataset['train_label']))\n", - "print('test acc of the formula:', acc(formula1, formula2, dataset['test_input'], dataset['test_label']))" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.7" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/tutorials/Example_5_special_functions.ipynb b/tutorials/Example_5_special_functions.ipynb deleted file mode 100644 index bca6859d..00000000 --- a/tutorials/Example_5_special_functions.ipynb +++ /dev/null @@ -1,307 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "134e7f9d", - "metadata": {}, - "source": [ - "# Example 5: Special functions" - ] - }, - { - "cell_type": "markdown", - "id": "2571d531", - "metadata": {}, - "source": [ - "Let's construct a dataset which contains special functions $f(x,y)={\\rm exp}(J_0(20x)+y^2)$, where $J_0(x)$ is the Bessel function." - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "id": "2075ef56", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 1.31e-02 | test loss: 9.92e-02 | reg: 3.78e+00 : 100%|██| 20/20 [00:06<00:00, 3.20it/s]\n" - ] - } - ], - "source": [ - "from kan import *\n", - "\n", - "# create a KAN: 2D inputs, 1D output, and 5 hidden neurons. cubic spline (k=3), 5 grid intervals (grid=5).\n", - "model = KAN(width=[2,1,1], grid=20, k=3, seed=0)\n", - "f = lambda x: torch.exp(torch.special.bessel_j0(20*x[:,[0]]) + x[:,[1]]**2)\n", - "dataset = create_dataset(f, n_var=2)\n", - "\n", - "# train the model\n", - "model.fit(dataset, opt=\"LBFGS\", steps=20);" - ] - }, - { - "cell_type": "markdown", - "id": "2f30c3ab", - "metadata": {}, - "source": [ - "Plot trained KAN, the bessel function shows up in the bettom left" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "id": "3f95fcdd", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.plot()" - ] - }, - { - "cell_type": "markdown", - "id": "733a2a41", - "metadata": {}, - "source": [ - "suggest_symbolic does not return anything that matches with it, since Bessel function isn't included in the default SYMBOLIC_LIB. We want to add Bessel to it." - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "id": "031db28f", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - " function fitting r2 r2 loss complexity complexity loss total loss\n", - "0 0 0.000000 0.000014 0 0 0.000003\n", - "1 x 0.001598 -0.002293 1 1 0.799541\n", - "2 cos 0.159266 -0.250262 2 2 1.549948\n", - "3 sin 0.159266 -0.250262 2 2 1.549948\n", - "4 1/x^2 0.098715 -0.149929 2 2 1.570014\n" - ] - }, - { - "data": { - "text/plain": [ - "('0',\n", - " ((x)>,\n", - " (x)>,\n", - " 0,\n", - " (x, y_th)>),\n", - " 0.0,\n", - " 0)" - ] - }, - "execution_count": 3, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "model.suggest_symbolic(0,0,0)" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "id": "4b8549a2", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "dict_keys(['x', 'x^2', 'x^3', 'x^4', 'x^5', '1/x', '1/x^2', '1/x^3', '1/x^4', '1/x^5', 'sqrt', 'x^0.5', 'x^1.5', '1/sqrt(x)', '1/x^0.5', 'exp', 'log', 'abs', 'sin', 'cos', 'tan', 'tanh', 'sgn', 'arcsin', 'arccos', 'arctan', 'arctanh', '0', 'gaussian'])" - ] - }, - "execution_count": 4, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "SYMBOLIC_LIB.keys()" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "id": "cbde1924", - "metadata": {}, - "outputs": [], - "source": [ - "# add bessel function J0 to the symbolic library\n", - "# we should include a name and a pytorch implementation\n", - "add_symbolic('J0', torch.special.bessel_j0, c=3)" - ] - }, - { - "cell_type": "markdown", - "id": "bda24c6d", - "metadata": {}, - "source": [ - "After adding Bessel, we check suggest_symbolic again" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "id": "83e5cfdd", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - " function fitting r2 r2 loss complexity complexity loss total loss\n", - "0 0 0.000000 0.000014 0 0 0.000003\n", - "1 x 0.001598 -0.002293 1 1 0.799541\n", - "2 cos 0.159266 -0.250262 2 2 1.549948\n", - "3 sin 0.159266 -0.250262 2 2 1.549948\n", - "4 1/x^2 0.098715 -0.149929 2 2 1.570014\n" - ] - }, - { - "data": { - "text/plain": [ - "('0',\n", - " ((x)>,\n", - " (x)>,\n", - " 0,\n", - " (x, y_th)>),\n", - " 0.0,\n", - " 0)" - ] - }, - "execution_count": 6, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "# J0 fitting is not very good\n", - "model.suggest_symbolic(0,0,0)" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "id": "e78f4674", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - " function fitting r2 r2 loss complexity complexity loss total loss\n", - "0 0 0.000000 0.000014 0 0 0.000003\n", - "1 J0 0.999225 -10.314291 3 3 0.337142\n", - "2 x 0.001598 -0.002293 1 1 0.799541\n", - "3 cos 0.585822 -1.271642 2 2 1.345672\n", - "4 sin 0.585822 -1.271642 2 2 1.345672\n" - ] - }, - { - "data": { - "text/plain": [ - "('0',\n", - " ((x)>,\n", - " (x)>,\n", - " 0,\n", - " (x, y_th)>),\n", - " 0.0,\n", - " 0)" - ] - }, - "execution_count": 7, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "# This is because the ground truth is J0(20x) which involves 20 which is too large.\n", - "# our default search is in (-10,10)\n", - "# so we need to set the search range bigger in order to include 20\n", - "# now J0 appears at the top of the list\n", - "\n", - "model.suggest_symbolic(0,0,0,a_range=(-40,40))" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "id": "47fb0d09", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 1.31e-02 | test loss: 1.00e-01 | reg: 3.78e+00 : 100%|██| 20/20 [00:03<00:00, 5.16it/s]\n" - ] - } - ], - "source": [ - "model.fit(dataset, opt=\"LBFGS\", steps=20);" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "id": "4773e989", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.plot()" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.7" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/tutorials/Example_6_PDE_interpretation.ipynb b/tutorials/Example_6_PDE_interpretation.ipynb deleted file mode 100644 index 7a77b4ff..00000000 --- a/tutorials/Example_6_PDE_interpretation.ipynb +++ /dev/null @@ -1,279 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "5d904dee", - "metadata": {}, - "source": [ - "# Example 6: Solving Partial Differential Equation (PDE)" - ] - }, - { - "cell_type": "markdown", - "id": "7d568912", - "metadata": {}, - "source": [ - "We aim to solve a 2D poisson equation $\\nabla^2 f(x,y) = -2\\pi^2{\\rm sin}(\\pi x){\\rm sin}(\\pi y)$, with boundary condition $f(-1,y)=f(1,y)=f(x,-1)=f(x,1)=0$. The ground truth solution is $f(x,y)={\\rm sin}(\\pi x){\\rm sin}(\\pi y)$." - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "id": "0e2bc449", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "pde loss: 2.52e+00 | bc loss: 1.57e-03 | l2: 3.10e-03 : 100%|███████| 20/20 [00:25<00:00, 1.25s/it]\n" - ] - } - ], - "source": [ - "from kan import *\n", - "import matplotlib.pyplot as plt\n", - "from torch import autograd\n", - "from tqdm import tqdm\n", - "\n", - "dim = 2\n", - "np_i = 21 # number of interior points (along each dimension)\n", - "np_b = 21 # number of boundary points (along each dimension)\n", - "ranges = [-1, 1]\n", - "\n", - "model = KAN(width=[2,2,1], grid=5, k=3, seed=3)\n", - "\n", - "def batch_jacobian(func, x, create_graph=False):\n", - " # x in shape (Batch, Length)\n", - " def _func_sum(x):\n", - " return func(x).sum(dim=0)\n", - " return autograd.functional.jacobian(_func_sum, x, create_graph=create_graph).permute(1,0,2)\n", - "\n", - "# define solution\n", - "sol_fun = lambda x: torch.sin(torch.pi*x[:,[0]])*torch.sin(torch.pi*x[:,[1]])\n", - "source_fun = lambda x: -2*torch.pi**2 * torch.sin(torch.pi*x[:,[0]])*torch.sin(torch.pi*x[:,[1]])\n", - "\n", - "# interior\n", - "sampling_mode = 'random' # 'radnom' or 'mesh'\n", - "\n", - "x_mesh = torch.linspace(ranges[0],ranges[1],steps=np_i)\n", - "y_mesh = torch.linspace(ranges[0],ranges[1],steps=np_i)\n", - "X, Y = torch.meshgrid(x_mesh, y_mesh, indexing=\"ij\")\n", - "if sampling_mode == 'mesh':\n", - " #mesh\n", - " x_i = torch.stack([X.reshape(-1,), Y.reshape(-1,)]).permute(1,0)\n", - "else:\n", - " #random\n", - " x_i = torch.rand((np_i**2,2))*2-1\n", - "\n", - "# boundary, 4 sides\n", - "helper = lambda X, Y: torch.stack([X.reshape(-1,), Y.reshape(-1,)]).permute(1,0)\n", - "xb1 = helper(X[0], Y[0])\n", - "xb2 = helper(X[-1], Y[0])\n", - "xb3 = helper(X[:,0], Y[:,0])\n", - "xb4 = helper(X[:,0], Y[:,-1])\n", - "x_b = torch.cat([xb1, xb2, xb3, xb4], dim=0)\n", - "\n", - "steps = 20\n", - "alpha = 0.01\n", - "log = 1\n", - "\n", - "def train():\n", - " optimizer = LBFGS(model.parameters(), lr=1, history_size=10, line_search_fn=\"strong_wolfe\", tolerance_grad=1e-32, tolerance_change=1e-32, tolerance_ys=1e-32)\n", - "\n", - " pbar = tqdm(range(steps), desc='description', ncols=100)\n", - "\n", - " for _ in pbar:\n", - " def closure():\n", - " global pde_loss, bc_loss\n", - " optimizer.zero_grad()\n", - " # interior loss\n", - " sol = sol_fun(x_i)\n", - " sol_D1_fun = lambda x: batch_jacobian(model, x, create_graph=True)[:,0,:]\n", - " sol_D1 = sol_D1_fun(x_i)\n", - " sol_D2 = batch_jacobian(sol_D1_fun, x_i, create_graph=True)[:,:,:]\n", - " lap = torch.sum(torch.diagonal(sol_D2, dim1=1, dim2=2), dim=1, keepdim=True)\n", - " source = source_fun(x_i)\n", - " pde_loss = torch.mean((lap - source)**2)\n", - "\n", - " # boundary loss\n", - " bc_true = sol_fun(x_b)\n", - " bc_pred = model(x_b)\n", - " bc_loss = torch.mean((bc_pred-bc_true)**2)\n", - "\n", - " loss = alpha * pde_loss + bc_loss\n", - " loss.backward()\n", - " return loss\n", - "\n", - " if _ % 5 == 0 and _ < 50:\n", - " model.update_grid_from_samples(x_i)\n", - "\n", - " optimizer.step(closure)\n", - " sol = sol_fun(x_i)\n", - " loss = alpha * pde_loss + bc_loss\n", - " l2 = torch.mean((model(x_i) - sol)**2)\n", - "\n", - " if _ % log == 0:\n", - " pbar.set_description(\"pde loss: %.2e | bc loss: %.2e | l2: %.2e \" % (pde_loss.cpu().detach().numpy(), bc_loss.cpu().detach().numpy(), l2.detach().numpy()))\n", - "\n", - "train()" - ] - }, - { - "cell_type": "markdown", - "id": "e2246bab", - "metadata": {}, - "source": [ - "Plot the trained KAN" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "id": "02e2a0ba", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.plot(beta=10)" - ] - }, - { - "cell_type": "markdown", - "id": "64d2573b", - "metadata": {}, - "source": [ - "Fix the first layer activation to be linear function, and the second layer to be sine functions (caveat: this is quite sensitive to hypreparams)" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "id": "e2e78752", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "r2 is 0.8422812819480896\n", - "r2 is not very high, please double check if you are choosing the correct symbolic function.\n", - "r2 is 0.8454716801643372\n", - "r2 is not very high, please double check if you are choosing the correct symbolic function.\n", - "Best value at boundary.\n", - "r2 is 0.9996306300163269\n", - "r2 is 0.9994996190071106\n", - "r2 is 0.998060405254364\n", - "r2 is 0.9991359710693359\n" - ] - } - ], - "source": [ - "for i in range(2):\n", - " for j in range(2):\n", - " model.fix_symbolic(0,i,j,'x')\n", - " \n", - "for i in range(2):\n", - " model.fix_symbolic(1,i,0,'sin')" - ] - }, - { - "cell_type": "markdown", - "id": "3fae3f32", - "metadata": {}, - "source": [ - "After setting all to be symbolic, we further train the model (affine parameters are still trainable). The model can now reach machine precision!" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "id": "308b72af", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "pde loss: 3.55e-11 | bc loss: 2.39e-13 | l2: 1.88e-13 : 100%|███████| 20/20 [00:11<00:00, 1.78it/s]\n" - ] - } - ], - "source": [ - "train()" - ] - }, - { - "cell_type": "markdown", - "id": "35985ae9", - "metadata": {}, - "source": [ - "Print out the symbolic formula" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "id": "f0ec310e", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle - 0.5 \\sin{\\left(3.141592 x_{1} + 3.141593 x_{2} - 4.712389 \\right)} + 0.5 \\sin{\\left(3.141593 x_{1} - 3.141592 x_{2} + 1.570797 \\right)}$" - ], - "text/plain": [ - "-0.5*sin(3.141592*x_1 + 3.141593*x_2 - 4.712389) + 0.5*sin(3.141593*x_1 - 3.141592*x_2 + 1.570797)" - ] - }, - "execution_count": 5, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "formula = model.symbolic_formula()[0][0]\n", - "ex_round(formula,6)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "5c3e90ca", - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.7" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/tutorials/Example_7_PDE_accuracy.ipynb b/tutorials/Example_7_PDE_accuracy.ipynb deleted file mode 100644 index f4ee1a64..00000000 --- a/tutorials/Example_7_PDE_accuracy.ipynb +++ /dev/null @@ -1,211 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "5d904dee", - "metadata": {}, - "source": [ - "# Example 6: Solving Partial Differential Equation (PDE)" - ] - }, - { - "cell_type": "markdown", - "id": "7d568912", - "metadata": {}, - "source": [ - "We aim to solve a 2D poisson equation $\\nabla^2 f(x,y) = -2\\pi^2{\\rm sin}(\\pi x){\\rm sin}(\\pi y)$, with boundary condition $f(-1,y)=f(1,y)=f(x,-1)=f(x,1)=0$. The ground truth solution is $f(x,y)={\\rm sin}(\\pi x){\\rm sin}(\\pi y)$." - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "id": "0e2bc449", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "pde loss: 2.76e+00 | bc loss: 1.17e-03 | l2: 3.09e-03 : 100%|███████| 50/50 [04:39<00:00, 5.58s/it]\n", - "pde loss: 6.17e-01 | bc loss: 3.86e-04 | l2: 1.02e-03 : 100%|███████| 50/50 [04:41<00:00, 5.63s/it]\n", - "pde loss: 3.59e-02 | bc loss: 2.90e-05 | l2: 5.40e-05 : 100%|███████| 50/50 [05:03<00:00, 6.06s/it]\n" - ] - } - ], - "source": [ - "from kan import KAN, LBFGS\n", - "import torch\n", - "import matplotlib.pyplot as plt\n", - "from torch import autograd\n", - "from tqdm import tqdm\n", - "\n", - "dim = 2\n", - "np_i = 51 # number of interior points (along each dimension)\n", - "np_b = 51 # number of boundary points (along each dimension)\n", - "ranges = [-1, 1]\n", - "\n", - "\n", - "def batch_jacobian(func, x, create_graph=False):\n", - " # x in shape (Batch, Length)\n", - " def _func_sum(x):\n", - " return func(x).sum(dim=0)\n", - " return autograd.functional.jacobian(_func_sum, x, create_graph=create_graph).permute(1,0,2)\n", - "\n", - "# define solution\n", - "sol_fun = lambda x: torch.sin(torch.pi*x[:,[0]])*torch.sin(torch.pi*x[:,[1]])\n", - "source_fun = lambda x: -2*torch.pi**2 * torch.sin(torch.pi*x[:,[0]])*torch.sin(torch.pi*x[:,[1]])\n", - "\n", - "# interior\n", - "sampling_mode = 'mesh' # 'radnom' or 'mesh'\n", - "\n", - "x_mesh = torch.linspace(ranges[0],ranges[1],steps=np_i)\n", - "y_mesh = torch.linspace(ranges[0],ranges[1],steps=np_i)\n", - "X, Y = torch.meshgrid(x_mesh, y_mesh, indexing=\"ij\")\n", - "if sampling_mode == 'mesh':\n", - " #mesh\n", - " x_i = torch.stack([X.reshape(-1,), Y.reshape(-1,)]).permute(1,0)\n", - "else:\n", - " #random\n", - " x_i = torch.rand((np_i**2,2))*2-1\n", - "\n", - "# boundary, 4 sides\n", - "helper = lambda X, Y: torch.stack([X.reshape(-1,), Y.reshape(-1,)]).permute(1,0)\n", - "xb1 = helper(X[0], Y[0])\n", - "xb2 = helper(X[-1], Y[0])\n", - "xb3 = helper(X[:,0], Y[:,0])\n", - "xb4 = helper(X[:,0], Y[:,-1])\n", - "x_b = torch.cat([xb1, xb2, xb3, xb4], dim=0)\n", - "\n", - "alpha = 0.01\n", - "log = 1\n", - "\n", - "\n", - "grids = [5,10,20]\n", - "steps = 50\n", - "\n", - "pde_losses = []\n", - "bc_losses = []\n", - "l2_losses = []\n", - "\n", - "for grid in grids:\n", - " if grid == grids[0]:\n", - " model = KAN(width=[2,2,1], grid=grid, k=3, seed=3)\n", - " model = model.speed()\n", - " else:\n", - " model.save_plot_data = True\n", - " model.get_act(x_i)\n", - " model = model.refine(grid)\n", - " model = model.speed()\n", - "\n", - " def train():\n", - " optimizer = LBFGS(model.parameters(), lr=1, history_size=10, line_search_fn=\"strong_wolfe\", tolerance_grad=1e-32, tolerance_change=1e-32, tolerance_ys=1e-32)\n", - "\n", - " pbar = tqdm(range(steps), desc='description', ncols=100)\n", - "\n", - " for _ in pbar:\n", - " def closure():\n", - " global pde_loss, bc_loss\n", - " optimizer.zero_grad()\n", - " # interior loss\n", - " sol = sol_fun(x_i)\n", - " sol_D1_fun = lambda x: batch_jacobian(model, x, create_graph=True)[:,0,:]\n", - " sol_D1 = sol_D1_fun(x_i)\n", - " sol_D2 = batch_jacobian(sol_D1_fun, x_i, create_graph=True)[:,:,:]\n", - " lap = torch.sum(torch.diagonal(sol_D2, dim1=1, dim2=2), dim=1, keepdim=True)\n", - " source = source_fun(x_i)\n", - " pde_loss = torch.mean((lap - source)**2)\n", - "\n", - " # boundary loss\n", - " bc_true = sol_fun(x_b)\n", - " bc_pred = model(x_b)\n", - " bc_loss = torch.mean((bc_pred-bc_true)**2)\n", - "\n", - " loss = alpha * pde_loss + bc_loss\n", - " loss.backward()\n", - " return loss\n", - "\n", - " if _ % 5 == 0 and _ < 20:\n", - " model.update_grid_from_samples(x_i)\n", - "\n", - " optimizer.step(closure)\n", - " sol = sol_fun(x_i)\n", - " loss = alpha * pde_loss + bc_loss\n", - " l2 = torch.mean((model(x_i) - sol)**2)\n", - "\n", - " if _ % log == 0:\n", - " pbar.set_description(\"pde loss: %.2e | bc loss: %.2e | l2: %.2e \" % (pde_loss.cpu().detach().numpy(), bc_loss.cpu().detach().numpy(), l2.detach().numpy()))\n", - "\n", - " pde_losses.append(pde_loss.detach().numpy())\n", - " bc_losses.append(bc_loss.detach().numpy())\n", - " l2_losses.append(l2.detach().numpy())\n", - " \n", - " train()" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "id": "dcbfa677", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 2, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "plt.plot(pde_losses, marker='o')\n", - "plt.plot(bc_losses, marker='o')\n", - "plt.plot(l2_losses, marker='o')\n", - "plt.yscale('log')\n", - "plt.xlabel('steps')\n", - "plt.legend(['PDE loss', 'BC loss', 'L2 squared'])" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "bce40477", - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.7" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/tutorials/Example_8_continual_learning.ipynb b/tutorials/Example_8_continual_learning.ipynb deleted file mode 100644 index 406cdc4e..00000000 --- a/tutorials/Example_8_continual_learning.ipynb +++ /dev/null @@ -1,232 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "134e7f9d", - "metadata": {}, - "source": [ - "# Example 8: Continual Learning" - ] - }, - { - "cell_type": "markdown", - "id": "2571d531", - "metadata": {}, - "source": [ - "Setup: Our goal is to learn a 1D function from samples. The 1D function has 5 Gaussian peaks. Instead of presenting all samples to NN all at once, we have five phases of learning. In each phase only samples around one peak is presented to KAN. We find that KANs can do continual learning thanks to locality of splines." - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "id": "2075ef56", - "metadata": { - "scrolled": false - }, - "outputs": [ - { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 1, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "from kan import *\n", - "import numpy as np\n", - "import torch\n", - "import matplotlib.pyplot as plt\n", - "\n", - "\n", - "datasets = []\n", - "\n", - "n_peak = 5\n", - "n_num_per_peak = 100\n", - "n_sample = n_peak * n_num_per_peak\n", - "\n", - "x_grid = torch.linspace(-1,1,steps=n_sample)\n", - "\n", - "x_centers = 2/n_peak * (np.arange(n_peak) - n_peak/2+0.5)\n", - "\n", - "x_sample = torch.stack([torch.linspace(-1/n_peak,1/n_peak,steps=n_num_per_peak)+center for center in x_centers]).reshape(-1,)\n", - "\n", - "\n", - "y = 0.\n", - "for center in x_centers:\n", - " y += torch.exp(-(x_grid-center)**2*300)\n", - " \n", - "y_sample = 0.\n", - "for center in x_centers:\n", - " y_sample += torch.exp(-(x_sample-center)**2*300)\n", - " \n", - "\n", - "plt.plot(x_grid.detach().numpy(), y.detach().numpy())\n", - "plt.scatter(x_sample.detach().numpy(), y_sample.detach().numpy())" - ] - }, - { - "cell_type": "markdown", - "id": "19477c89", - "metadata": {}, - "source": [ - "Sequentially prensenting different peaks to KAN" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "id": "831a9456", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "plt.subplots(1, 5, figsize=(15, 2))\n", - "plt.subplots_adjust(wspace=0, hspace=0)\n", - "\n", - "for i in range(1,6):\n", - " plt.subplot(1,5,i)\n", - " group_id = i - 1\n", - " plt.plot(x_grid.detach().numpy(), y.detach().numpy(), color='black', alpha=0.1)\n", - " plt.scatter(x_sample[group_id*n_num_per_peak:(group_id+1)*n_num_per_peak].detach().numpy(), y_sample[group_id*n_num_per_peak:(group_id+1)*n_num_per_peak].detach().numpy(), color=\"black\", s=2)\n", - " plt.xlim(-1,1)\n", - " plt.ylim(-1,2)" - ] - }, - { - "cell_type": "markdown", - "id": "3e487a84", - "metadata": {}, - "source": [ - "Training KAN" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "id": "11a1d129", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 4.00e-06 | test loss: 4.00e-06 | reg: 2.35e+00 : 100%|█| 100/100 [00:03<00:00, 32.00it/s\n", - "train loss: 4.01e-06 | test loss: 4.01e-06 | reg: 2.35e+00 : 100%|█| 100/100 [00:02<00:00, 39.46it/s\n", - "train loss: 3.99e-06 | test loss: 3.99e-06 | reg: 2.35e+00 : 100%|█| 100/100 [00:02<00:00, 34.10it/s\n", - "train loss: 3.99e-06 | test loss: 3.99e-06 | reg: 2.35e+00 : 100%|█| 100/100 [00:02<00:00, 38.86it/s\n", - "train loss: 4.00e-06 | test loss: 4.00e-06 | reg: 2.35e+00 : 100%|█| 100/100 [00:02<00:00, 38.20it/s\n" - ] - } - ], - "source": [ - "ys = []\n", - "\n", - "# setting bias_trainable=False, sp_trainable=False, sb_trainable=False is important.\n", - "# otherwise KAN will have random scaling and shift for samples in previous stages\n", - "\n", - "model = KAN(width=[1,1], grid=200, k=3, noise_scale=0.1, sp_trainable=False, sb_trainable=False)\n", - "\n", - "for group_id in range(n_peak):\n", - " dataset = {}\n", - " dataset['train_input'] = x_sample[group_id*n_num_per_peak:(group_id+1)*n_num_per_peak][:,None]\n", - " dataset['train_label'] = y_sample[group_id*n_num_per_peak:(group_id+1)*n_num_per_peak][:,None]\n", - " dataset['test_input'] = x_sample[group_id*n_num_per_peak:(group_id+1)*n_num_per_peak][:,None]\n", - " dataset['test_label'] = y_sample[group_id*n_num_per_peak:(group_id+1)*n_num_per_peak][:,None]\n", - " model.fit(dataset, opt = 'LBFGS', steps=100, update_grid=False);\n", - " y_pred = model(x_grid[:,None])\n", - " ys.append(y_pred.detach().numpy()[:,0])" - ] - }, - { - "cell_type": "markdown", - "id": "dbb9a1b7", - "metadata": {}, - "source": [ - "Prediction of KAN after each stage" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "id": "12379f4a", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "plt.subplots(1, 5, figsize=(15, 2))\n", - "plt.subplots_adjust(wspace=0, hspace=0)\n", - "\n", - "for i in range(1,6):\n", - " plt.subplot(1,5,i)\n", - " group_id = i - 1\n", - " plt.plot(x_grid.detach().numpy(), y.detach().numpy(), color='black', alpha=0.1)\n", - " plt.plot(x_grid.detach().numpy(), ys[i-1], color='black')\n", - " plt.xlim(-1,1)\n", - " plt.ylim(-1,2)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "d2002726", - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.7" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/tutorials/Example_8_scaling.ipynb b/tutorials/Example_8_scaling.ipynb deleted file mode 100644 index 06018429..00000000 --- a/tutorials/Example_8_scaling.ipynb +++ /dev/null @@ -1,544 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "5d904dee", - "metadata": {}, - "source": [ - "# Example 8: KANs' Scaling Laws" - ] - }, - { - "cell_type": "markdown", - "id": "6465ec94", - "metadata": {}, - "source": [ - "In this example, we show KAN's scaling laws (wrt model params and data size)" - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "id": "a1c25e8a", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "data_size=100\n", - "grid_size=5\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 5.45e-03 | test loss: 7.44e-03 | reg: 0.00e+00 : 100%|██| 50/50 [00:07<00:00, 6.28it/s]\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "grid_size=10\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 2.33e-04 | test loss: 1.38e-03 | reg: 0.00e+00 : 100%|██| 50/50 [00:04<00:00, 11.46it/s]\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "grid_size=20\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 3.80e-05 | test loss: 7.60e-03 | reg: 0.00e+00 : 100%|██| 50/50 [00:03<00:00, 15.35it/s]\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "grid_size=50\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 5.61e-01 | test loss: 1.51e+00 | reg: 0.00e+00 : 100%|██| 50/50 [00:07<00:00, 6.91it/s]\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "grid_size=100\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 7.86e-02 | test loss: 1.19e+00 | reg: 0.00e+00 : 100%|██| 50/50 [00:07<00:00, 6.87it/s]\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "data_size=300\n", - "grid_size=5\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 5.68e-03 | test loss: 6.18e-03 | reg: 0.00e+00 : 100%|██| 50/50 [00:04<00:00, 12.46it/s]\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "grid_size=10\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 2.85e-04 | test loss: 3.33e-04 | reg: 0.00e+00 : 100%|██| 50/50 [00:04<00:00, 11.53it/s]\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "grid_size=20\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 2.33e-05 | test loss: 3.69e-04 | reg: 0.00e+00 : 100%|██| 50/50 [00:04<00:00, 12.46it/s]\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "grid_size=50\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 3.59e-06 | test loss: 4.51e-03 | reg: 0.00e+00 : 100%|██| 50/50 [00:07<00:00, 6.43it/s]\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "grid_size=100\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 3.19e-06 | test loss: 3.36e-02 | reg: 0.00e+00 : 100%|██| 50/50 [00:08<00:00, 6.25it/s]\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "data_size=1000\n", - "grid_size=5\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 6.09e-03 | test loss: 6.24e-03 | reg: 0.00e+00 : 100%|██| 50/50 [00:06<00:00, 8.19it/s]\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "grid_size=10\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 2.75e-04 | test loss: 3.09e-04 | reg: 0.00e+00 : 100%|██| 50/50 [00:05<00:00, 9.25it/s]\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "grid_size=20\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 1.70e-05 | test loss: 2.00e-05 | reg: 0.00e+00 : 100%|██| 50/50 [00:07<00:00, 6.64it/s]\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "grid_size=50\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 1.42e-06 | test loss: 1.63e-06 | reg: 0.00e+00 : 100%|██| 50/50 [00:12<00:00, 4.10it/s]\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "grid_size=100\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 9.83e-07 | test loss: 1.61e-06 | reg: 0.00e+00 : 100%|██| 50/50 [00:10<00:00, 4.91it/s]\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "data_size=3000\n", - "grid_size=5\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 6.09e-03 | test loss: 6.01e-03 | reg: 0.00e+00 : 100%|██| 50/50 [00:13<00:00, 3.62it/s]\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "grid_size=10\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 3.09e-04 | test loss: 3.20e-04 | reg: 0.00e+00 : 100%|██| 50/50 [00:22<00:00, 2.20it/s]\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "grid_size=20\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 1.76e-05 | test loss: 1.92e-05 | reg: 0.00e+00 : 100%|██| 50/50 [00:22<00:00, 2.20it/s]\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "grid_size=50\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 1.41e-06 | test loss: 8.81e-05 | reg: 0.00e+00 : 100%|██| 50/50 [00:40<00:00, 1.22it/s]\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "grid_size=100\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 1.29e-06 | test loss: 6.64e-04 | reg: 0.00e+00 : 100%|██| 50/50 [00:31<00:00, 1.56it/s]\n" - ] - } - ], - "source": [ - "from kan import *\n", - "\n", - "# initialize KAN with G=3\n", - "model = KAN(width=[2,1,1], grid=3, k=3)\n", - "\n", - "data_sizes = np.array([100,300,1000,3000])\n", - "grids = np.array([5,10,20,50,100])\n", - "\n", - "train_losses = np.zeros((data_sizes.shape[0], grids.shape[0]))\n", - "test_losses = np.zeros((data_sizes.shape[0], grids.shape[0]))\n", - "steps = 50\n", - "k = 3\n", - "\n", - "for j in range(data_sizes.shape[0]):\n", - " data_size = data_sizes[j]\n", - " print(f'data_size={data_size}')\n", - " # create dataset\n", - " f = lambda x: torch.exp(torch.sin(torch.pi*x[:,[0]]) + x[:,[1]]**2)\n", - " dataset = create_dataset(f, n_var=2, train_num=data_size)\n", - " \n", - " for i in range(grids.shape[0]):\n", - " print(f'grid_size={grids[i]}')\n", - " if i == 0:\n", - " model = KAN(width=[2,1,1], grid=grids[i], k=k)\n", - " model.speed()\n", - " if i != 0:\n", - " model.save_plot_data = True\n", - " model.get_act(dataset)\n", - " model = model.refine(grids[i])\n", - " model.speed()\n", - " results = model.fit(dataset, opt=\"LBFGS\", steps=steps, stop_grid_update_step = 30)\n", - " train_losses[j][i] = results['train_loss'][-1]\n", - " test_losses[j][i] = results['test_loss'][-1]\n" - ] - }, - { - "cell_type": "markdown", - "id": "6be8ba55", - "metadata": {}, - "source": [ - "Fix data size, study model (grid) size scaling. Roughly display $N^{-4}$ scaling." - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "id": "e05289dd", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "Text(0.5, 0, 'grid size')" - ] - }, - "execution_count": 2, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "for i in range(data_sizes.shape[0]):\n", - " plt.plot(grids, train_losses[i,:], marker=\"o\")\n", - "plt.xscale('log')\n", - "plt.yscale('log')\n", - "plt.plot(np.array([5,100]), 0.1*np.array([3,100])**(-4.), ls=\"--\", color=\"black\")\n", - "plt.legend([f'data={data_sizes[i]}' for i in range(data_sizes.shape[0])]+[r'$N^{-4}$'])\n", - "plt.ylabel('train RMSE')\n", - "plt.xlabel('grid size')" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "id": "6d15cc9e", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "Text(0.5, 0, 'grid size')" - ] - }, - "execution_count": 3, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "for i in range(data_sizes.shape[0]):\n", - " plt.plot(grids, test_losses[i,:], marker=\"o\")\n", - "plt.xscale('log')\n", - "plt.yscale('log')\n", - "plt.plot(np.array([5,100]), 0.1*np.array([3,100])**(-4.), ls=\"--\", color=\"black\")\n", - "plt.legend([f'data={data_sizes[i]}' for i in range(data_sizes.shape[0])]+[r'$N^{-4}$'])\n", - "plt.ylabel('test RMSE')\n", - "plt.xlabel('grid size')" - ] - }, - { - "cell_type": "markdown", - "id": "18bcedfe", - "metadata": {}, - "source": [ - "Fix model (grid) size, study data size scaling. No clear power law scaling. But we observe that: (1) increasing data size has no harm to performance. (2) powerful model (larger grid size) can benefit more from data size increase. Ideally one would want to increase data size and model size together so that their complexity always match." - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "id": "0dd85c41", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "Text(0.5, 0, 'data size')" - ] - }, - "execution_count": 4, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "for i in range(grids.shape[0]):\n", - " plt.plot(data_sizes, train_losses[:,i], marker=\"o\")\n", - "plt.xscale('log')\n", - "plt.yscale('log')\n", - "plt.plot(np.array([100,3000]), 1e8*np.array([100,3000])**(-4.), ls=\"--\", color=\"black\")\n", - "plt.legend([f'grid={grids[i]}' for i in range(grids.shape[0])]+[r'$N^{-4}$'])\n", - "plt.ylabel('train RMSE')\n", - "plt.xlabel('data size')" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "id": "107801f6", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "Text(0.5, 0, 'data size')" - ] - }, - "execution_count": 5, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "for i in range(grids.shape[0]):\n", - " plt.plot(data_sizes, test_losses[:,i], marker=\"o\")\n", - "plt.xscale('log')\n", - "plt.yscale('log')\n", - "plt.plot(np.array([100,3000]), 1e5*np.array([100,3000])**(-4.), ls=\"--\", color=\"black\")\n", - "plt.legend([f'grid={grids[i]}' for i in range(grids.shape[0])]+[r'$N^{-4}$'])\n", - "plt.ylabel('test RMSE')\n", - "plt.xlabel('data size')" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "47bdf5af", - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.7" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/tutorials/Example_9_singularity.ipynb b/tutorials/Example_9_singularity.ipynb deleted file mode 100644 index e1cbd4ab..00000000 --- a/tutorials/Example_9_singularity.ipynb +++ /dev/null @@ -1,387 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "134e7f9d", - "metadata": {}, - "source": [ - "# Example 9: Singularity" - ] - }, - { - "cell_type": "markdown", - "id": "2571d531", - "metadata": {}, - "source": [ - "Let's construct a dataset which contains singularity $f(x,y)=sin(log(x)+log(y))\n", - " (x>0,y>0)$" - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "id": "2075ef56", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 5.01e-03 | test loss: 5.28e-03 | reg: 7.54e+00 : 100%|██| 20/20 [00:06<00:00, 3.16it/s]\n" - ] - } - ], - "source": [ - "from kan import *\n", - "import torch\n", - "\n", - "# create a KAN: 2D inputs, 1D output, and 5 hidden neurons. cubic spline (k=3), 5 grid intervals (grid=5).\n", - "model = KAN(width=[2,1,1], grid=20, k=3, seed=0)\n", - "f = lambda x: torch.sin(2*(torch.log(x[:,[0]])+torch.log(x[:,[1]])))\n", - "dataset = create_dataset(f, n_var=2, ranges=[0.2,5])\n", - "\n", - "# train the model\n", - "model.fit(dataset, opt=\"LBFGS\", steps=20);" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "id": "3f95fcdd", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.plot()" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "id": "ccb7ec43", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "r2 is 0.9999974370002747\n", - "r2 is 0.9999890923500061\n", - "r2 is 0.999965488910675\n" - ] - }, - { - "data": { - "text/plain": [ - "tensor(1.0000)" - ] - }, - "execution_count": 3, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "model.fix_symbolic(0,0,0,'log')\n", - "model.fix_symbolic(0,1,0,'log')\n", - "model.fix_symbolic(1,0,0,'sin')" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "id": "0937db67", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 2.85e-07 | test loss: 2.82e-07 | reg: 7.54e+00 : 100%|██| 20/20 [00:02<00:00, 9.03it/s]\n" - ] - } - ], - "source": [ - "model.fit(dataset, opt=\"LBFGS\", steps=20);" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "id": "e959cda3", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle - 1.0 \\sin{\\left(2.0 \\log{\\left(2.205 x_{1} \\right)} + 2.0 \\log{\\left(2.018 x_{2} \\right)} + 0.156 \\right)}$" - ], - "text/plain": [ - "-1.0*sin(2.0*log(2.205*x_1) + 2.0*log(2.018*x_2) + 0.156)" - ] - }, - "execution_count": 5, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "ex_round(model.symbolic_formula()[0][0], 3)" - ] - }, - { - "cell_type": "markdown", - "id": "16e4da06", - "metadata": {}, - "source": [ - "We were lucky -- singularity does not seem to be a problem in this case. But let's instead consider $f(x,y)=\\sqrt{x^2+y^2}$. $x=y=0$ is a singularity point." - ] - }, - { - "cell_type": "code", - "execution_count": 13, - "id": "1ce52cec", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 4.94e-03 | test loss: 5.23e-03 | reg: 5.98e+00 : 100%|██| 20/20 [00:03<00:00, 5.04it/s]\n" - ] - } - ], - "source": [ - "from kan import *\n", - "import torch\n", - "\n", - "# create a KAN: 2D inputs, 1D output, and 5 hidden neurons. cubic spline (k=3), 5 grid intervals (grid=5).\n", - "model = KAN(width=[2,1,1], grid=5, k=3, seed=0)\n", - "f = lambda x: torch.sqrt(x[:,[0]]**2+x[:,[1]]**2)\n", - "dataset = create_dataset(f, n_var=2)\n", - "\n", - "# train the model\n", - "model.fit(dataset, opt=\"LBFGS\", steps=20);" - ] - }, - { - "cell_type": "code", - "execution_count": 14, - "id": "3a69ec41", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.plot()" - ] - }, - { - "cell_type": "code", - "execution_count": 15, - "id": "abef7aa9", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "r2 is 0.9999871253967285\n", - "r2 is 0.9999728798866272\n", - "r2 is 0.9998090863227844\n" - ] - }, - { - "data": { - "text/plain": [ - "tensor(0.9998)" - ] - }, - "execution_count": 15, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "model.fix_symbolic(0,0,0,'x^2')\n", - "model.fix_symbolic(0,1,0,'x^2')\n", - "model.fix_symbolic(1,0,0,'sqrt')" - ] - }, - { - "cell_type": "code", - "execution_count": 16, - "id": "e14000d8", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle 1.01262303277627 \\sqrt{\\left(8.59418125232242 \\cdot 10^{-5} - x_{2}\\right)^{2} + 0.999965395886852 \\left(- x_{1} - 2.26198704007758 \\cdot 10^{-5}\\right)^{2} + 0.00768977463773129} - 0.0159889459609985$" - ], - "text/plain": [ - "1.01262303277627*sqrt((8.59418125232242e-5 - x_2)**2 + 0.999965395886852*(-x_1 - 2.26198704007758e-5)**2 + 0.00768977463773129) - 0.0159889459609985" - ] - }, - "execution_count": 16, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "formula = model.symbolic_formula()[0][0]\n", - "formula" - ] - }, - { - "cell_type": "code", - "execution_count": 17, - "id": "c56ee3d5", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle 1.01 \\sqrt{1.0 x_{1}^{2} + x_{2}^{2} + 0.01} - 0.02$" - ], - "text/plain": [ - "1.01*sqrt(1.0*x_1**2 + x_2**2 + 0.01) - 0.02" - ] - }, - "execution_count": 17, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "ex_round(formula, 2)" - ] - }, - { - "cell_type": "markdown", - "id": "1fd57d41", - "metadata": {}, - "source": [ - "w/ singularity avoiding" - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "id": "de708f21", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 4.85e-08 | test loss: 4.84e-08 | reg: 5.95e+00 : 100%|██| 20/20 [00:01<00:00, 14.88it/s]\n" - ] - } - ], - "source": [ - "model.fit(dataset, opt=\"LBFGS\", steps=20, update_grid=False, singularity_avoiding=True);" - ] - }, - { - "cell_type": "markdown", - "id": "6fd34c4c", - "metadata": {}, - "source": [ - "w/o singularity avoiding, nan may appear" - ] - }, - { - "cell_type": "code", - "execution_count": 18, - "id": "031fabd6", - "metadata": { - "scrolled": true - }, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: nan | test loss: nan | reg: nan : 25%|████▌ | 5/20 [00:01<00:03, 3.90it/s]" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "\n", - "Intel MKL ERROR: Parameter 6 was incorrect on entry to SGELSY.\n", - "\n", - "Intel MKL ERROR: Parameter 6 was incorrect on entry to SGELSY.\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "\n" - ] - }, - { - "ename": "RuntimeError", - "evalue": "false INTERNAL ASSERT FAILED at \"/Users/runner/work/pytorch/pytorch/pytorch/aten/src/ATen/native/BatchLinearAlgebra.cpp\":1540, please report a bug to PyTorch. torch.linalg.lstsq: (Batch element 0): Argument 6 has illegal value. Most certainly there is a bug in the implementation calling the backend library.", - "output_type": "error", - "traceback": [ - "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", - "\u001b[0;31mRuntimeError\u001b[0m Traceback (most recent call last)", - "\u001b[0;32m/var/folders/6j/b6y80djd4nb5hl73rv3sv8y80000gn/T/ipykernel_33275/1949812002.py\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mmodel\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mfit\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mdataset\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mopt\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;34m\"LBFGS\"\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0msteps\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m20\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m;\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m", - "\u001b[0;32m~/Desktop/2022/research/code/pykan/kan/MultKAN.py\u001b[0m in \u001b[0;36mfit\u001b[0;34m(self, dataset, opt, steps, log, lamb, lamb_l1, lamb_entropy, lamb_coef, lamb_coefdiff, update_grid, grid_update_num, loss_fn, lr, start_grid_update_step, stop_grid_update_step, batch, small_mag_threshold, small_reg_factor, metrics, save_fig, in_vars, out_vars, beta, save_fig_freq, img_folder, device, singularity_avoiding, y_th, reg_metric)\u001b[0m\n\u001b[1;32m 804\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 805\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0m_\u001b[0m \u001b[0;34m%\u001b[0m \u001b[0mgrid_update_freq\u001b[0m \u001b[0;34m==\u001b[0m \u001b[0;36m0\u001b[0m \u001b[0;32mand\u001b[0m \u001b[0m_\u001b[0m \u001b[0;34m<\u001b[0m \u001b[0mstop_grid_update_step\u001b[0m \u001b[0;32mand\u001b[0m \u001b[0mupdate_grid\u001b[0m \u001b[0;32mand\u001b[0m \u001b[0m_\u001b[0m \u001b[0;34m>=\u001b[0m \u001b[0mstart_grid_update_step\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 806\u001b[0;31m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mupdate_grid_from_samples\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mdataset\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m'train_input'\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mtrain_id\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mto\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mdevice\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 807\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 808\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mopt\u001b[0m \u001b[0;34m==\u001b[0m \u001b[0;34m\"LBFGS\"\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", - 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"\u001b[0;32m~/Desktop/2022/research/code/pykan/kan/KANLayer.py\u001b[0m in \u001b[0;36mupdate_grid_from_samples\u001b[0;34m(self, x)\u001b[0m\n\u001b[1;32m 228\u001b[0m \u001b[0mgrid\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mgrid_eps\u001b[0m \u001b[0;34m*\u001b[0m \u001b[0mgrid_uniform\u001b[0m \u001b[0;34m+\u001b[0m \u001b[0;34m(\u001b[0m\u001b[0;36m1\u001b[0m \u001b[0;34m-\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mgrid_eps\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;34m*\u001b[0m \u001b[0mgrid_adaptive\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 229\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mgrid\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mdata\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mextend_grid\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mgrid\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mk_extend\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mk\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 230\u001b[0;31m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mcoef\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mdata\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mcurve2coef\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mx_pos\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0my_eval\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mgrid\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mk\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mdevice\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mdevice\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 231\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 232\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0minitialize_grid_from_parent\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mparent\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mx\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", - "\u001b[0;32m~/Desktop/2022/research/code/pykan/kan/spline.py\u001b[0m in \u001b[0;36mcurve2coef\u001b[0;34m(x_eval, y_eval, grid, k, device)\u001b[0m\n\u001b[1;32m 164\u001b[0m \u001b[0;31m# coef shape: (in_dim, outdim, G+k)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 165\u001b[0m \u001b[0my_eval\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0my_eval\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mpermute\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;36m2\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;36m0\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0munsqueeze\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mdim\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m3\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;31m# y_eval: (in_dim, out_dim, batch, 1)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 166\u001b[0;31m coef = torch.linalg.lstsq(mat.to(device), y_eval.to(device),\n\u001b[0m\u001b[1;32m 167\u001b[0m driver='gelsy' if device == 'cpu' else 'gels').solution[:,:,:,0]\n\u001b[1;32m 168\u001b[0m \u001b[0;32mreturn\u001b[0m \u001b[0mcoef\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mto\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mdevice\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", - "\u001b[0;31mRuntimeError\u001b[0m: false INTERNAL ASSERT FAILED at \"/Users/runner/work/pytorch/pytorch/pytorch/aten/src/ATen/native/BatchLinearAlgebra.cpp\":1540, please report a bug to PyTorch. torch.linalg.lstsq: (Batch element 0): Argument 6 has illegal value. Most certainly there is a bug in the implementation calling the backend library." - ] - } - ], - "source": [ - "model.fit(dataset, opt=\"LBFGS\", steps=20);" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.7" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/tutorials/Extension_1_boundary_condition.ipynb b/tutorials/Extension_1_boundary_condition.ipynb deleted file mode 100644 index df93b6e2..00000000 --- a/tutorials/Extension_1_boundary_condition.ipynb +++ /dev/null @@ -1,256 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "2971746e", - "metadata": {}, - "source": [ - "# Extension example 1: Boudary Condition" - ] - }, - { - "cell_type": "markdown", - "id": "cba1c2b8", - "metadata": {}, - "source": [ - "For some applications, we want to constrain the function space of KANs. This notebook investigates when there are boundary conditions, we can hard code this information into KANs. This can be done by defining a new class MyKAN that inherits the KAN class. The forward() method needs to be overridden." - ] - }, - { - "cell_type": "markdown", - "id": "fb2a4e1f", - "metadata": {}, - "source": [ - "Example 1: $f(x), x\\in [0,1], f(0)=0, f(1)=0$. To construct the condition, we set $f(x)=x(1-x)\\cdot {\\rm KAN}(x)$." - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "id": "ef203d38", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "checkpoint directory created: ./model\n", - "saving model version 0.0\n" - ] - }, - { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 1, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "from kan import *\n", - "\n", - "class MyKAN(KAN):\n", - " \n", - " def __init__(self, width=None, grid=3, k=3, seed=1):\n", - " super(MyKAN, self).__init__(width, grid, k, seed=seed)\n", - " \n", - " def forward(self, x):\n", - " y_kan = super(MyKAN, self).forward(x)\n", - " y_mtp = x * (1 - x)\n", - " return y_kan * y_mtp\n", - " \n", - "model = MyKAN(width=[1,1], seed=1)\n", - "x = torch.linspace(0,1,steps=1001)[:,None]\n", - "plt.plot(x.detach().numpy(), model(x).detach().numpy())\n", - "plt.scatter([0,1],[0,0], color='red')" - ] - }, - { - "cell_type": "markdown", - "id": "cc9ea0cb", - "metadata": {}, - "source": [ - "Example 2: $f(x), x\\in [0,1], f(t_0)=y_0, f(t_1)=y_1$. To construct the condition, we set $f(x)=(x-t_0)(t_1-x)\\cdot {\\rm KAN}(x) + (y_1-y_0)/(t_1-t_0) * (x-t_0) + y_0$." - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "id": "c439b796", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "checkpoint directory created: ./model\n", - "saving model version 0.0\n" - ] - }, - { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 2, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "from kan import *\n", - "\n", - "t0 = 0\n", - "t1 = 1\n", - "y0 = 1\n", - "y1 = 1.2\n", - "\n", - "class MyKAN(KAN):\n", - " \n", - " def __init__(self, width, t0, t1, y0, y1, grid=3, k=3, seed=1, noise_scale=1.0):\n", - " super(MyKAN, self).__init__(width, grid, k, seed=seed)\n", - " self.t0 = t0\n", - " self.t1 = t1\n", - " self.y0 = y0\n", - " self.y1 = y1\n", - " \n", - " def forward(self, x):\n", - " y_kan = super(MyKAN, self).forward(x)\n", - " y_mtp = (x- self.t0) * (self.t1 - x)\n", - " return y_kan * y_mtp + (self.y1 - self.y0)/(self.t1 - self.t0) * (x - self.t0) + self.y0\n", - " \n", - "model = MyKAN(width=[1,1], t0=t0, t1=t1, y0=y0, y1=y1, seed=1)\n", - "x = torch.linspace(0,1,steps=1001)[:,None]\n", - "plt.plot(x.detach().numpy(), model(x).detach().numpy())\n", - "plt.scatter([t0,t1],[y0,y1], color='red')" - ] - }, - { - "cell_type": "markdown", - "id": "1170c3a7", - "metadata": {}, - "source": [ - "Example 3: $f(x,y), x\\in[0,1], y\\in[0,1], f(0,y)=f(1,y)=f(x,0)=f(x,1)=0$. Set $f(x,y)=x(1-x)y(1-y)\\cdot{\\rm KAN}(x,y)$." - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "id": "dba9aac3", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "checkpoint directory created: ./model\n", - "saving model version 0.0\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/Users/ziming/opt/anaconda3/lib/python3.9/site-packages/torch/functional.py:507: UserWarning: torch.meshgrid: in an upcoming release, it will be required to pass the indexing argument. (Triggered internally at /Users/runner/work/pytorch/pytorch/pytorch/aten/src/ATen/native/TensorShape.cpp:3550.)\n", - " return _VF.meshgrid(tensors, **kwargs) # type: ignore[attr-defined]\n" - ] - }, - { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 3, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "from kan import *\n", - "\n", - "class MyKAN(KAN):\n", - " \n", - " def __init__(self, width=None, grid=3, k=3, seed=1):\n", - " super(MyKAN, self).__init__(width, grid, k, seed=seed)\n", - " \n", - " def forward(self, x):\n", - " y_kan = super(MyKAN, self).forward(x)\n", - " y_mtp = x[:,[0]] * (1 - x[:,[0]]) * x[:,[1]] * (1 - x[:,[1]])\n", - " return y_kan * y_mtp\n", - " \n", - "model = MyKAN(width=[2,5,1], seed=2)\n", - "x = torch.linspace(0,1,steps=101)\n", - "y = torch.linspace(0,1,steps=101)\n", - "X, Y = torch.meshgrid(x, y)\n", - "inputs = torch.stack([X.reshape(-1,), Y.reshape(-1,)]).permute(1,0)\n", - "mat = model(inputs).reshape(101,101)\n", - "plt.matshow(mat.detach().numpy())\n", - "plt.colorbar()" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "07e45f8f", - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.7" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/tutorials/Extension_2_autoencoder.ipynb b/tutorials/Extension_2_autoencoder.ipynb deleted file mode 100644 index 1174f5a8..00000000 --- a/tutorials/Extension_2_autoencoder.ipynb +++ /dev/null @@ -1,522 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "7939f51d", - "metadata": {}, - "source": [ - "# Extension example 2: Autoencoder" - ] - }, - { - "cell_type": "markdown", - "id": "dfaf3e9e", - "metadata": {}, - "source": [ - "An auto-encoder has an encoder and a decoder. We allow the encoder to be an MLP or a KAN, and allow the decoder to be an MLP or a KAN. (When both encoder and decoder are KANs, it is actually uncessary to separate them: you can combine them into a larger KAN.)" - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "id": "46adff97", - "metadata": {}, - "outputs": [], - "source": [ - "from kan import *\n", - "from kan.MLP import MLP\n", - "\n", - "# define the AutoEncoder class\n", - "\n", - "class AutoEncoder(KAN):\n", - " \n", - " def __init__(self, width_enc=None, width_dec=None, grid=3, k=3, seed=1, enc_type='kan', dec_type='kan'):\n", - " \n", - " # this is a bit hacky. The class is inherited from the KAN class to make it easy to create the fit() method.\n", - " super(AutoEncoder, self).__init__(width=[1,1])\n", - " \n", - " if enc_type == 'kan':\n", - " self.encoder = KAN(width=width_enc, grid=grid, k=k, seed=seed, auto_save=False, base_fun='identity')\n", - " elif enc_type == 'mlp':\n", - " self.encoder = MLP(width=width_enc, seed=seed)\n", - " \n", - " if dec_type == 'kan':\n", - " self.decoder = KAN(width=width_dec, grid=grid, k=k, seed=seed, auto_save=False, base_fun='identity')\n", - " elif dec_type == 'mlp':\n", - " self.decoder = MLP(width=width_dec, seed=seed)\n", - " \n", - " self.enc_type = enc_type\n", - " self.dec_type = dec_type\n", - " \n", - " def forward(self, x, singularity_avoiding=False, y_th=1000.):\n", - " hidden = self.encoder(x)\n", - " y = self.decoder(hidden)\n", - " return y\n", - " \n", - " def get_params(self):\n", - " return list(self.encoder.parameters()) + list(self.decoder.parameters())\n", - " \n", - " def get_reg(self, reg_metric='fa', lamb_l1=1., lamb_entropy=2., lamb_coef=1., lamb_coefdiff=0.):\n", - " \n", - " if self.enc_type == 'kan':\n", - " enc_reg = self.encoder.reg(reg_metric, lamb_l1, lamb_entropy, lamb_coef, lamb_coefdiff)\n", - " else:\n", - " enc_reg = self.encoder.reg(reg_metric='w', lamb_l1=lamb_l1, lamb_entropy=lamb_entropy)\n", - " \n", - " if self.dec_type == 'kan':\n", - " dec_reg = self.decoder.reg(reg_metric, lamb_l1, lamb_entropy, lamb_coef, lamb_coefdiff)\n", - " else:\n", - " dec_reg = self.decoder.reg(reg_metric='w', lamb_l1=lamb_l1, lamb_entropy=lamb_entropy)\n", - " \n", - " return enc_reg + dec_reg\n", - " \n", - " def attribute(self):\n", - " self.decoder.attribute()\n", - " self.encoder.attribute(out_score=self.decoder.feature_score)\n", - " \n", - " \n", - " def update_grid(self, x):\n", - " \n", - " if self.enc_type == 'kan':\n", - " self.encoder.update_grid_from_samples(x)\n", - " \n", - " hidden = self.encoder(x).detach()\n", - " if self.dec_type == 'kan':\n", - " self.decoder.update_grid_from_samples(hidden)\n", - " \n", - " def disable_symbolic_in_fit(self, lamb):\n", - " if self.enc_type == 'kan':\n", - " self.encoder.disable_symbolic_in_fit(lamb)\n", - " if self.dec_type == 'kan':\n", - " self.decoder.disable_symbolic_in_fit(lamb)\n", - " return None, None\n", - " \n", - " \n", - " def fit(self, dataset, reg_metric='act', steps=20, lamb=0., lamb_l1=1., lamb_entropy=2., lamb_coef=1., lamb_coefdiff=0.):\n", - " super(AutoEncoder, self).fit(dataset, reg_metric=reg_metric, steps=steps, lamb=lamb, lamb_l1=lamb_l1, lamb_entropy=lamb_entropy, lamb_coef=lamb_coef, lamb_coefdiff=lamb_coefdiff)\n", - " " - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "id": "b9b27f75", - "metadata": {}, - "outputs": [], - "source": [ - "x = torch.normal(0,1,size=(1000,4))\n", - "x[:,[2]] = x[:,[0]]\n", - "x[:,[3]] = x[:,[1]]\n", - "\n", - "fraction = 0.8\n", - "num = x.shape[0]\n", - "train_num = int(num * fraction)\n", - "test_num = num - train_num\n", - "train_id = np.random.choice(num, train_num, replace=False)\n", - "test_id = list(set(range(num)) - set(train_id))\n", - "dataset = {}\n", - "dataset['train_input'] = dataset['train_label'] = x[train_id]\n", - "dataset['test_input'] = dataset['test_label'] = x[test_id]" - ] - }, - { - "cell_type": "markdown", - "id": "21638921", - "metadata": {}, - "source": [ - "Case 1: KAN encoder, KAN decoder" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "id": "988cce8e", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "checkpoint directory created: ./model\n", - "saving model version 0.0\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "| train_loss: 1.22e-02 | test_loss: 1.27e-02 | reg: 3.36e+01 | : 100%|█| 100/100 [01:02<00:00, 1.61" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "saving model version 0.1\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "\n" - ] - } - ], - "source": [ - "enc_type = 'kan' # 'kan' or 'mlp'\n", - "dec_type = 'kan' # 'kan' or 'mlp'\n", - "\n", - "model = AutoEncoder(width_enc=[4,5,2], width_dec=[2,5,4], seed=0, enc_type=enc_type, dec_type=dec_type)\n", - "model.fit(dataset, lamb=1e-3, steps=100);" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "id": "3474c959", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", 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lIyMDgwcPxv3334/U1FTZpphqGViVUZXfpuLMxpNnNzdu3MDgwYMRGhqKLVu2uGVfcUEQkJWVhX379klicvnyZQBAy5Yty/lLYmJiHG5fnuelWQpjDH5+ftDpdPD395elr8QZt5y4uwwSYwwmk6lW/pLqjp2eno7U1FRs3LgRRqMR/fv3R2JiIgYOHOjw8Qj78EhxuX79Ovr374969eph69atCAkJkfX4ahYYW7zVb/Pnn39iyJAh6N69O1JTUx32PdSEyWTC0aNHy/lLioqKoNVq0bFjR0lIunfv7rSjVQwhNpvNdyQ6yrnWLvesxfa4rlwmtvWXiD6Tiv4ScYnL2fa6efMmvv32W6SmpuLPP//EXXfdhbFjx2LMmDFo0qSJzL+IqIjHiYvBYMDQoUORk5ODtLS0coXf5MQTC1h6k99m165deOyxxzBhwgQkJyfX6li3bt3CwYMHpZnJkSNHYDKZEBIScoe/pLY5BlarVRIVxpjknHfF07GrhMX2+HIJjNVqLed4NxgMAACtVlvO8W6vv6QqBEHAnj17kJqaii1btoAxhqFDh2LcuHF44IEHVP/A6E14lLgIgoAnn3wSO3bswNatW9GxY0eXnUtpB79ceLLfZs2aNXjxxRfx7rvvYtKkSXZ/78qVK+X8JZmZmWCMoX79+lIEV0JCAtq1ayfLrMjZRMfanhNwnbDYnseZceAKf0l15OTk4KuvvsK6detw8eJFuxMdCdfhUbXF3nrrLWzevBmpqakuFRbgr0HrrkHsKkQREamqTpoa/Tbjx4/HuXPn8PLLL6N58+YYOHDgHZ8RBAF//vmnJCb79u3D1atXAQCtWrVCjx49MGXKFCQkJKB58+ay/q7KEh2DgoJcvobvzmvSdhxUF+Is5peIMxPx2goMDERoaKg0K5GzbaxWK3bs2IG1a9dKiY7Dhw/H8uXLHUp0JFyDx8xcUlJSMHXqVCxYsADPP/+8287rLTOYqqiudI0a/DY8z2P8+PHYs2cPfvzxR7Rs2RKHDx+WxOTgwYO4desW/Pz80KlTp3L+kqioKNntkSPRsTYo9bBj64e0118SHBzskplbdnY2UlNT8dVXX+H69etSouOIESMQHh4u+/kI5/AIcdm9ezceeeQRJCYmYuHChW4fWGoLUXYlavPbFBYWYvfu3Zg+fTry8/MRGBgIq9WK0NBQdO/eXRKTzp07IygoyGV2yJXoWFtcERlWE6K/pLS0tNwSl+gvsS2h4irbTCYTtmzZgrVr1+K3335DeHg4Hn30USQmJsqe6EjIg+rF5cyZMxg4cCDi4+Oxfv16xcIGPSWCzBVU57exFZzawhjD5cuXpfIp+/btw59//gkAiIyMxM2bN9GgQQOsWbMGnTt3dvmNXe5Ex9riLmGpzl8SGBiIkJAQhISEuKUOVsVEx549eyIxMREPPfQQJTqqHFWLy82bNzFgwADodDr89NNPqFOnjqL2+LLA2FJxGa3iUpq9fhux5pKtvyQnJwcAEBcXh549e0ozk2bNmuHkyZN48MEH0a9fP6xatcol/eCqREc57AJcE3JcsR4Xz/MAbvtLbGcmfn5+blkmrpjoGBUVJSU6xsbGuuSchPyoVlxMJhP++c9/4ty5c9ixYwfuvvtupU0C4Jkhyq7GXr+NyWRCenp6OX9JSUkJ/P390alTJymSq1u3blVG+Gzbtg2JiYmYMmUKXnvtNdl+g6sTHWuDnMIiCEI5x7ter5fEwja3pDp/iSsEprJEx379+iExMRGDBg2iREcPRJXiwhjDs88+i++//x4//PADunbtqrRJEt7u4JcDsY1u3LiBAwcO4MCBA9i/fz+OHz8Oi8WCsLAwdOvWDb169UJCQgLi4+MdWuJYvnw5Xn31VSxatAiJiYm1stMdiY61obbCIvpLbOtxAbX3l8g1DgoKCqREx8zMTEp09CJUGYr873//G99++y1WrlypKmEBvCdEWW4YY7h48WI5f0lWVhYAoFGjRkhISMCoUaPQrVs3tG7dWrp5izMbQRDsXuaaPHkyzp07h9mzZ+Puu+/GAw884JCtlSU6hoaGqu7p2JlrrGIJFXGL3oCAAAQHB6NevXoIDg5GQEBArWyzJ0S5KgRBwG+//YaUlBQp0fHBBx/Em2++iT59+vj8srO3oLqZy3//+19MmjQJL7/8MmbNmqW0OVXiSxFklcHzPDIyMsqJSW5uLgDgnnvuQY8ePaRlrqZNm95xA6qpdE1NfhuLxYLHH38c6enp2LZtG+Li4qq1V4lEx9pgj7A46i9xBY74IXNzc/HVV18hNTUVFy9eRKtWrZCYmEiJjl6KqsTlwIEDGDZsGEaMGIHly5erflbgSwJjMBhw6NAhSUwOHjyI0tJSBAQE4L777ivnL6lbt67Dx3cm36a4uBhDhgyB0WjEzz//XOkNqjY7OipJZTMC0V9im18iXn8V63G585qsTmDERMeUlBRs374dAQEB0o6O3bp1U/0YJ5xHNeKSnZ2NAQMGIC4uDps2bfKY7T69NYIsPz9f8pXs378fR48ehdVqRZ06ddC9e3dJTO677z6X9FVV+TZA+dI1V65cwaBBgxAbG4uNGzdCp9MpnuhYW8TfarVayzneRX+JuEWvKChq2J64YqBLxUTHjh074oknnqBERx9CFeJy69YtDBw4EDzPY/v27ahXr57SJjmEpwsMYwwXLlyQhGT//v04c+YMAKBp06bldlW85557FPudVeXbHDlyBCNGjMDQoUOxaNEiyTmvVKKjs5hMJpSVlUmzkor+EvFVW3+JKxCX6H788UekpqZiz549UqLjuHHj0L59e6VNJNyM4uJisVjw6KOP4tixY/j555/RqlUrJc1xGk8KUbZarTh58mQ5f0leXh44jsO9994r+Uu6d++u6IZdNcEYk57uN27ciJkzZ2LKlCmYPXs2AgMDodVqVdsnjLE7tugV63FVDAlWuziKiY7r169HUVERevTogfHjx1Oio4+j6FXLGMOsWbPw+++/Y9OmTR4rLMBt34BaI8j0ej3++OOPcv4SvV4PnU6H+Ph4jB07Fj169EDXrl0RERGhtLl2IS57ibOUUaNG4caNG0hOTkbbtm0xYsQI6clfDVsO8Dx/Rz0uW39J3bp1XVqPS27ERMfU1FSkp6cjKioKTzzxBMaOHSttqKa2cUC4F0VnLsuWLcP8+fPx0UcfYezYsUqZIRtqyYHJy8sr5y85duwYeJ5HRESE5C/p0aMHOnbs6DG+LaDmREfGGKZMmYJNmzZh06ZN6Natm11+G1fczC0WSznnu8lkAvCXv6SykvNqvxkzxnD48GGkpKRg48aNMBgM0o6OtomOvhToQlSNYuKyefNmPPHEE5g+fTrmz5+vhAkuwd0DizGG8+fPS3uX7N+/H+fOnQMANGvWrNx+73FxcR434B1NdDSbzXjkkUeQlZWFn376Cc2bNy/3flVbRde2TlpN+SVV+UvUOtu1pWKiY9OmTTF27Fg8/vjjVSY6erofkqg9iojL0aNHMWTIEAwePBhffPGF112ArhxYFosFJ06cKOd8v3HjBjiOQ9u2bcs53121S6c7qCzRUQwjromCggIMHjwYfn5+2Lp1a7VLfc7k29j6S8QlLp7nwXHcHfklNWX6K1Hl2B4EQcDvv/+OtWvXlkt0FHd0tKeCAQmMb+N2cbl69Sr69++Ppk2bYvPmzV7r8JNrYJWVleGPP/6QZiZ//PEHDAYDdDodunTpIolJ165dPT7EU85Ex3PnzmHw4MFo3749vvnmG7vzWirLtxH9JUajEUajUVri0mg0d2zR64idapy1yJ3o6EmBLoS8uFVcSktLMWTIEBQVFSEtLQ3169d316kVwZmBlZeXV26J68SJE+B5HnXr1pWWuHr27IkOHTqoMiTVGVyV6Lh371488sgjGD16NBYtWmR3P9j6S8rKymA0GqV8GduZSVBQkBSR5qj4qUlYbBMdd+zYAX9/f9kSHdXihyTcj9vEhed5PP7449i7dy9++ukntGnTxh2nVZSaBhZjDGfPni233/uFCxcAAM2bNy/nL2nZsqVXLS+4K9Hxq6++wgsvvIDXX38dU6ZMqfQztiVUbPNLdDpduSUuUexq67dRi7BkZ2dj3bp1+PLLL6VEx8TERDz88MOyzoJJYHwTt4Uiv/LKK0hLS8P69et9QliAO4tcWiwWHD9+vJy/5ObNm9BoNGjXrh0GDhwoiUnDhg2VNN1luHtHxzFjxuD8+fN444030Lx5cwwdOrScv0Sv10szzMDAQISHh9foLxGFQ3zfVmgEQZDqe1VWukZpYRF3dExJSXFbomNtilwSnotbZi4rVqzA7NmzsXDhQjz11FOuPp1qKCkpkfwl+/btw6FDh2AymRAYGIiuXbtKM5OuXbsiLCxMaXNdhpI7OvI8j9LSUjz33HPYuXMnPv74Y6nKgO2sJCgoSNa9SSqrkwbcvtFqtVq359tkZmZKOzoWFhaiR48e0o6Ortwe2hZy8PsWLheXtLQ0jBo1Cs8++yzeeecdV55KcXJzc8v5S06ePAlBEBAZGYnu3buje/fu6NmzJzp27Kj6wolyIEZ7ibMUd+zoWFV+Cc/zmDJlCnJzc/Hjjz+6dUfDiktoFZfSXJVvU1ZWho0bN5ZLdBwzZgzGjh2Lli1bynoueyGB8R1cKi6nTp3C4MGD0atXL6xbt041GzDJAWMMZ86ckcRk3759uHjxIgAgJiZGmpUkJCSgZcuW0p4lgHcPLHfv6Fix5LxYQqUyf8mNGzcwaNAghIeHY8uWLQgNDZXdnqqouCRkj9/GGR+FmOgo7uio1+vRv39/jBs3DoMGDVJFEAhFkPkGLhOXvLw89O/fH3Xr1sXWrVsREhLiitO4DbPZjGPHjklicuDAARQUFECj0aBDhw7lxKRBgwZVHscbBcZdOzoKggCDwVDOZyLeqGzDgavzl/z5558YMmQIunfvjtTUVLfU7bJ3b5bq8m0q23LAlsLCQnzzzTd3JDqOGTNGdfXhyMHvG7hEXAwGAx566CFcuXIFO3fu9MhkvuLi4nL5JaK/JCgoCN26dZOEpEuXLg4/AXvLk1ttEh3tgef5O7boFasf1MZfsnPnTowZMwYTJ050+VKtsw78qrYcsK2TBtwOt05JScHmzZvBGMOQIUMwbtw49OnTR9UrBSQw3o/s4iIIAp566in8/PPP+PHHH9GpUyc5D+8yrl27Vi4kOCMjA4wxREdHl5uVtG/fvtb+Ek8eWJUlOoq+lNrOxsxmc7mQYNFf4u/vX2U9LmdZtWoVZs+ejeTkZDz99NO1Pl5lyB0ZJgpNTk4Ovv76a3z55Ze4dOkSWrZsicTERIwaNcqjcsc8eRwQNSP7msCCBQvw/fffIyUlRbXCIggCsrKyyjnfL126BACIjY1Fjx49MHnyZCQkJEgVXuWkYoiyJwysyhIdg4KCnBZaxtgd9bgq+kuioqLK5ZfIyYQJE3D+/HnMmzcPzZs3x4ABA2Q9vtx9a7VakZaWJu3o6O/vj3/+85/4+OOP0aVLF+l8JpPJ7q2ilYZClL0bWWcu69atw5QpU/DWW29VmbCmBCaTCUePHi3nLykqKoJWq0XHjh2lWUn37t3d+uSn9ie3qhIdnSnHIvpLbGcmFf0ltlnv7oDneTzxxBP47bff8OOPP6Jt27ayHFdOYXEk0bG2fhul8EY/JCGjuOTl5aFjx4547LHH8OGHH6rqAk5LS8PIkSMRHByMbt26SYUdu3TpguDgYEVtU3N58uLiYgiCIEuiY2FhIXJycqDVau+ox6XktVJWVoahQ4fCz88P27dvl8UWuZ7EeZ5Hu3btYDKZMHLkSCQmJjqU6FiZ30YMCVcb3uKHJP7CaXE5efIkdu/ejSeffFL6G8/z1T51uuNGXpldQPW2uUtgnGlqdw02saqv7flEn0pVNlT1d5PJBI1GU669eZ4Hz/NV3tjcJa4nT57Enj17MH78eOlvNT05u+v6qMw2Z8eUeLOuSHXC565rzdFxoNaHL6J6nBYXxhhWrFgBjUaDp556SjVPHKJdWq0WEyZMUI1dVaEWvwtjDMXFxahTp44sx7pw4QJiYmJksExexOsjICAATzzxhOLtbotom7+/P8aPH1/rgpEWi0WVsxRHUMv4IBzH6ccBjuPw9NNPQxAEfPHFF049lbsC0S6r1YpVq1apxq7KUJNt4nKJHDZxHIewsDBV/T4R8fowmUxYu3atqmwUbbNYLFizZk2tbBP9K2r6fc5Azn7PpVZzTXEwMMZUJzCTJk3yCIEREdfHbV/uJjAwEGVlZbIcKyoqCleuXJHlWHIjXh9qFhir1YrVq1fXyjatVitVePZESFg8m1ovZHIch4kTJwIAVq5cqZqBKt5AeJ5XlfCJVEyKq+4z7qJiiHRtj6XmJ2e1C8zEiRMhCEKtHo7U3gcVqWinp9hNVI4sXjKO4yS/i9oERo1Ld5WhlkiZkJAQGAwGWY7VuHFj5OXlyXIsVyAKjNFoREpKiqquD3FMAajVtavVaqX8ITUj/r6KM3c1jAnCOWQLwbAVGDXdyG0FRm1LZJUNHFFklBIbjuNgtVplm73o9XpVtXlFOI7DM888A4PBoEqBmTBhAjQajdMPbXLORl2FrZiQsHgPspd/sfW/TJw4UTUXCGMMK1euLCeCStoCqHfwiCVe5CizIggCbt26hbp161Z7PqXbgjGGzz77DEFBQUhMTFTcHlsYY1izZg2sVqtTY4oxBqvVWm2lA6X6wPb2Y7uZmvhvwnORPXhczTOYiRMnqib4QM0Dh+O4cktjtQk00Gg0yM/Pr/J9q9Va7fvuQpzB6PV6Vc5gxo8fD61W69S1W9PsRRQfJRFtVHLWTsiLy0ruq2mmYIvS+Tlqn7WI8DwPQRDg5+cHo9FY7j2NRgN/f3+7E9ssFgvMZjNCQkJQVlZWbtMsg8GAiIgIBAYGyv4bnIExhv/85z8ICgpSZR6MuLTr6LXLGAPP85VWWbBarVItMnei9vJHRO1w6WZh4iwBgOoERinhU8MSkL0UFRUhMDDwjuUxq9UKq9Xq0Pa4WVlZaNq0qbTfi7gEEhoaqrr2kDOZUW4YY1i9erVUfdwR28xm8x2btvE8DwBuL89PwuL9uHybY9sbuRiyrAaUsMtTZi0iVqsVJSUllfpLHBVJvV6PK1euIC4uTk4TXYZ4fYiVHtSEOIMBIEWU2fs9scyP7d+0Wq3bH7BIWLwfpysRnjlz5o6/VVUHqU+fPli5cqWzp3KIyuwSi/dVtM2ddlW0x17cWVusIoIgIDAwsNL3gKqfdsV9WGzRaDQIDw+v9D0AsgQP2MPZs2fv+JtY2LHiktHf/vY3aebtDiqzzWq1Vnrzf+CBB6q1zXbrZFsqPhSIeTDurt/laBQbiZDn4fTMRdzXQ0SsTaXT6apcP3dHnaOKdgG31/zLysoQHh5e6QByV/2lypq6poGtZDHB0tJSadfHynAk+fPmzZsoKipC8+bNKxUld/3Oyq6P0tJSCIJwRwl7EUevD2eXPivaJkbaifvbOGJbZX1gtVqlKtdVhcG7g8psq6kqMomL5+H0o4q4r4f40ul0WLFiBWJjY3H27Nk73nfXDbyy837yySfo1q2btK+7EnYBd+awiBnUlUXKuHvJoLJzW61W+Pn5VfpedbZV/JzZbMaNGzdQp06dKo/nLirr/2+++QYdOnQAx3GKXh8Vz/vCCy/g/vvvl6pJO2JbZW0str1tBWy1XGs1vQjPQ9Z58MyZM9GiRQtMmzatyqUUJTh06BA6d+6s2otUdG6rKfxVTkfvtWvXEBAQgKioqFofyxXEx8fDbDbj1KlTtT6WXH24fft2bNq0CW+//TYiIyNlOSbHcdBqtdIyoNpQ6/gknENWcdHpdFi6dCkOHTqkiC+jMhhjOHz4MDp37qy0KVViGz2lFsS8h9qKS0FBAQwGAxo1aqTam0eHDh3g5+eHw4cPK20KgNvLdLNmzUK/fv0wcuRIWY+t1Wqh0WgUz2uxRU3XPSEfsnvwEhIS8NRTT+GNN95QRVXcS5cuIT8/X9XiAqivTEdVjmRHsFgsyMvLQ926dRXf8bM6AgMD0aZNG6Snp8tyvNqK6Ntvv42CggL8+9//dokg+/n5qSJxkvBuXBIe8tprryE8PBwzZ85U/GYp3jDi4+MVtcMe1DR7qSrhzhFycnKg0WjQoEEDmaxyHZ07d1bFzOXQoUNYsWIFXnrpJdx9990uOYfofxETZZXGk3K/CPtxibiEh4dj4cKF0rqxkqSnp6NZs2aIjo5W1A57EAeY0gO+umxue7l16xZKS0vRqFEjj9iiNj4+HmfOnEFxcbHTx6jtg4HZbMb06dPRsWNHPPPMM7U6Vk2Is1KavRCuwmWj/sEHH8SwYcOQlJSEgoICV52mRtLT09GlSxfFzu8o4o1YyRlMbf0tPM8jNzcX4eHhCAsLk9M0l9G5c2cwxnD06FHFbFi6dCnOnDmDJUuW1HrWaA/+/v7Sg4RSeFpiMWE/Ln2kfP/992E2m/Hqq6+68jRVYrFYcPToUY9YErNF6eUxMVTVWXG5fv06AKBhw4ZymuVSWrZsibCwsFr7XZy9SZ45cwYffvghpkyZgrZt29bKBnsR+1iuLRYIwhaXikuDBg3w5ptv4ssvv8Qvv/ziylNVSmZmJkwmk0fNXADll8fE/BZnKCsrQ1FRERo0aOCWp2+50Gg0uO+++xTxuwiCgBkzZqBJkyaYPXu2W88t5r4ouTxGsxbvxOWL4YmJiejVqxdmzJgh2w6H9pKeng6tVosOHTq49bxyoGT0WFVlfGpCEARcu3YNISEhiIiIkN8wFxMfH4/09HS3t3lKSgr279+PRYsWKVId2s/PD4IgKLI8RjMm78Xl4qLRaLB48WLk5OQgOTnZ1acrR3p6Otq2betQ9V61oFTuS1V1tuzhxo0bsFqtaNSokQsscz2dO3dGXl4erl275vB3ne2nnJwcvP766xg3bhx69+7t1DFqi0ajoeUxQnbcEsbTsmVLzJkzBx9//DGOHTvmjlMC+Csz31NRYvbirDPfaDTi5s2biI6OdmvJFDkRfXNy5bvYw9y5cxEYGIjXX3/dbeesDCWWx8iZ7924LUb0hRdeQOvWrTF16lS3XMAlJSXIysryaHEB3F8ahud5hzeOYozh2rVrCAwMlK1UiRI0aNAATZo0cdrv4uhNcvPmzdiyZQuSk5NVsYwoLo8pHQpPeAduExd/f38sXboUJ06cwPLly11+viNHjoAx5hXi4s7lMWec+QUFBTAajaou8WIvot/F1dy6dQtJSUkYPHgwhg0b5vLz2YP4UOGu2QslT3o3bs1u69y5MyZPnox33nkH2dnZLj3X4cOHERoailatWrn0PO7AnctjjjrzzWYz8vLyEBkZ6ZG+rYp07twZR48edfkN9o033kBZWZnLSrw4C5WGIeTC7anTL7/8MqKjozFjxgyX3iwPHTqE++67z+3bt7oKd8xeeJ4HY8yhmUtOTg78/Pw8ogKCPcTHx8NgMOD06dN2f8fRftm3bx/Wrl2LV199FY0bN3bURJfi7tIwahJWQl7cLi4hISH48MMP8csvv+Drr7922XnS09M9fknMFnfkvjjqzC8qKkJZWZnHlHixh44dO0Kj0bgs38VkMmH69Ono2rWr6rZPFnFH5WSKSvN+FLkjDBgwACNHjsTLL7+MGzduyH78a9euITc316vEBXB9aRhxScyep0mr1Yrr16+jTp06CA0NdYk9ShASEoJ77rnHYXGx9wn8ww8/xKVLl7B48WJVCzItjxG1RbGr+9133wXHcXjppZdkP7bokPW0zHx7cOXymCPO/NzcXACeVeLFXlxVIfnUqVNYsmQJZsyYgdatW8t+fDkRS8OIS6VyQ85870cxcYmKisLbb7+NDRs2YPv27bIeOz09HY0aNfLKG5+rlsfEAob2LImVlpaiuLgYDRs29Bqfli3x8fHIzMxEWVlZjZ+198bL8zxmzJiBmJgYTJ8+vZYWugc1lIYhPBdF5+WjR49G3759MXPmTLsGsr14WiVkR3HF8phY+qOmmYsgCMjJyUFoaCjq1Kkj2/nVRHx8PARBwPHjx2U75sqVK5Geno5FixZ5VJKpK0vD0MzFu1FUXDiOw4cffoj8/HwsWLBAlmPyPI8jR454XCVkR5F7ecxqtdpVCTkvLw88z3tsiRd7aN26NYKCguzOd6npJnnlyhUsWLAAEyZMQPfu3eUw0W24ojQMOfN9A8U9is2bN8fLL7+M//znPzh06FCtj5eVlYWysjKvnrkA8ue+2LMkZjAYUFBQgOjoaPj7+8tyXjXi5+eHTp06yeJ3YYxh1qxZqFOnjmJbT9QWWh4jnEFxcQGAyZMno2PHjpg2bRrMZnOtjnXo0CGpfLq3I2dpmJqc+bYlXurVq1fr86mdzp07y5Kp/7///Q87duzA+++/j/DwcBksUwY5S8OQM983UIW4+Pn5YcmSJTh9+jSWLVtWq2MdPnwYrVu3RkhIiEzWqRe5SsOIN43qZi43b96EyWRC48aNfeLGEB8fj6tXr0obn1VGTe1eUFCAuXPnYtiwYRgyZIjcJroV29IwtKxF2IMqxAUAOnTogClTpuD999/HmTNnnD7OoUOHvH5JzBY5lsdqcuabTCbcuHEDUVFRiuw3ogRijlRtlsbmz58Pi8WCd999Vy6zFEXMfamNc58qIfsOqhEXAEhKSkKTJk0wffp0p6bfer0emZmZXu/Mr0htl8esVmu1lZBzcnLg7+/vNSVe7KFx48aoX79+jeJS1U3y119/xddff4033ngDDRo0cIWJbsfdpWEIz0ZV4hIUFIRFixZh7969WLt2rcPfP3bsGHie96mZC1D72YvVaq1ySaywsBB6vd4rKh47AsdxTvtdDAYDZs6ciZ49e2LcuHEusE455CgN40vXkS+jKnEBgD59+mDs2LF47bXXpCxwe0lPT0dQUBDuueceF1mnXmqT+8LzfKVLYmKJl4iICJ/wYVUkPj4eR44ccfgp/b333kNOTg4WLVrklTfS2pSGIX+N76A6cQGAt956CzqdDnPmzHHoe+np6ejUqZNTW/R6A84496urhJyTkwONRuM1yzqO0rlzZ5SUlODs2bN3vFdVOx8/fhyffPIJZs+ejdjYWFebqAi2y2MkFkRVqFJc6tati+TkZPzwww/YvHmz3d/ztkrIjuJMaRjROVtxWay4uBglJSVeW+LFHjp16gSO4+x26lutVkybNg333HMPpkyZ4mLrlEUscGqxWOz+DjnzfQtVigsAjBgxAoMHD8asWbNQXFxc4+fz8vJw+fJlnxYXwPHlMdHfYjvgeZ5Hbm4uwsLCPDo3o7aEh4ejVatWVfpdKt4kP/30U2RkZGDx4sVenWQq4u/vX+voMcJ7Ua24cByHhQsXorS0FK+//nqNnxefLn1dXADHlscqc+bn5eVBEASvLPzpKPHx8XbNXLKzs5GcnIxnnnnGZ6IVxXJB9ua+UPKkb6FacQGAJk2a4LXXXsOqVauwb9++aj976NAh1K9fH02bNnWTderF3ugx8anT1t+i1+tRWFiI+vXr+8TTd0107twZGRkZMBqN0t8qtitjDDNnzkR0dLRLtpBQM1QahqgKVYsLADz11FPo0qULpk2bBpPJVOXnDh8+jPj4eHoy+n/syX2pmDwplngJCgryiRIv9hAfHw+r1YoTJ05U+Zn169dj9+7d+OCDD3wyqs6Rysk0Pn0H1YuLVqvFsmXLkJ2djYULF1b6GUEQvL7MvqPYUxqmYiXkGzduwGKxqG5fdyVp06YNAgIC7vC7iDfJ/Px8vPrqqxg5ciT69++vhImKY09pGIoq8z1ULy4AcM8992D69OlYvHgxMjMz73j/3LlzKC4u9pm1bnupaXnMthKyyWTCzZs3ERUVBZ1O5zYb1Y6/vz86duxYpd9l3rx54DgOb7/9tpstUxfi7JeWxwgRjxAXAHjxxRfRvHlzTJ06VZp+M8aQn5+Pbdu2gTHmE5WQHaXi8pjYZtnZ2bh+/bokLteuXUNAQACioqKUNFeViJn6Yrvl5+eDMYYdO3Zg48aNWLBgASIjI5U2U1HE3Bfbysm219qNGzcUttBzsG038VrzSJgHsW/fPhYREcEWL17MFi9ezGJjYxkA6RUbG8sWL17MCgsLlTZVVQiCwG7evFlpm8XExLC3336b7du3j5WVlSltquooLCxkEyZMYBqNply7tWjRgjVu3JgNGzaMCYKgtJmqwWw2s+vXr1d5rdH4rJrCwkKvuq95lLgwxtiIESMYx3EMgPRf8cVxHOM4joWEhLBt27Ypbapq2LZtGwsODq60zcRXUFAQtVkFtm3bxkJCQiptL2q3ytm6dWuV1xqNz6oRrzWxjbyh3TxKXLZt23bHE2RlL41Gw7RarUd1hKvYtm0b02q1VYqK7QVMbfYXYrvVdL3RtfYX9l5r1Gbl8dZrjWPMMxb0ioqK0LRpUxgMBrvKm2g0GgQFBeHKlSuIiIhwvYEqhNrMOajdHIfazDm8ud08xqG/Zs0a6PV6u+tmCYIAvV7vVOl+b4HazDmo3RyH2sw5vLndPGLmwhhDq1atcP78eYciJziOQ0xMDM6cOeNzyVvUZs5B7eY41GbO4e3t5hHikp+fX6tdEPPz830uVJTazDmo3RyH2sw5vL3dPGJZrLS0tFbfLykpkckSz4HazDmo3RyH2sw5vL3dPEJcQkNDa/X9sLAwmSzxHKjNnIPazXGozZzD29vNI8QlMjISsbGxDq8vchyH2NhYnyzCSG3mHNRujkNt5hze3m4eIS4cx+GFF15w6rtTp05VtdPLVVCbOQe1m+NQmzmHt7ebRzj0Ae+OB3cV1GbOQe3mONRmzuHN7eYRMxcAiIiIwIYNG8BxnLSVb1VoNBpwHIeNGzeqvgNcCbWZc1C7OQ61mXN4dbu5uyRAbbG3Bs9PP/2ktKmqgdrMOajdHIfazDm8sd08TlwYu109dMmSJZVWD12yZAkrKipS2kTVQW3mHNRujkNt5hze1m4eKS4igiCwtLQ0BoClpaVR6XM7oDZzDmo3x6E2cw5vaTeP8blUBsdx0tpjRESE6qMn1AC1mXNQuzkOtZlzeEu7ebS4EARBEOqExIUgCIKQHRIXgiAIQnZIXAiCIAjZIXEhCIIgZIfEhSAIgpAdEheCIAhCdkhcCIIgCNkhcSEIgiBkh8SFIAiCkB0SF4IgCEJ2SFwIgiAI2SFxIQiCIGSHxIUgCIKQHRIXgiAIQnZIXAiCIAjZ8VhxKS0tRVZWFk6cOAEAyM3NhdlsVtgq9VNaWoqLFy8CADIzM3H58mVqtxqwWCy4evUqMjMzAQDnzp1DQUEBBEFQ2DJ1Q9ea43jTfY1jjDGljXCE8+fPY8WKFfj+++9x+fJlWCwWmEwmhIeH47777sP48ePx8MMPIywsTGlTVYVtu128eBEGgwEBAQEICQlB+/btqd0qoaioCBs2bMC6deuQkZGBkpISmM1mBAYGIjo6Gvfffz8mTpyIXr16wc/PT2lzVQNda47jjfc1jxEXnufx1VdfYd68eTAYDBgyZAgGDhyIZs2aQRAEnD17Flu3bsWuXbsQHx+PZcuWoU2bNkqbrTjUbs6xb98+zJgxA8ePH0fXrl0xdOhQdOjQAaGhoSgqKkJ6ejp++OEHnD17FqNHj8aCBQsQHR2ttNmKQtea43h1mzEPgOd59vHHH7OQkBA2ZMgQduzYMWa1WtnevXvZkiVL2JIlS1hmZiYzm83s119/ZV26dGGtW7dmJ06cUNp0RaF2c46ffvqJNWrUiLVq1Yr997//ZXq9nhUVFbFPP/2ULVmyhK1atYoZDAZWXFzMPvvsM9a4cWM2cOBAlpubq7TpikHXmuN4e5t5hLjs2rWLRUREsJEjR7KCggImCAJjjLFXXnmFAWAAWEpKCmOMMUEQ2MWLF1nPnj1Z7969WWFhoYKWKwu1m+OcPn2atWjRgrVr146dPHlSarNz586xOnXqMACsRYsWrKCggDF2u912797NmjZtysaNG8eMRqOS5isGXWuO4+1tpnqHvsFgwJtvvokGDRpg0aJFiIiIAMdxVX6e4zjcddddWLZsGbKyspCamupGa9UDtZvj8DyPd955B4WFhfjoo4/Qpk2batsMuN1uvXv3xvvvv4/vvvsO27Ztc5O16oGuNcfxhTZTvbikp6dj//79eO6559CkSZMaBztwuyM6deqEUaNGYfXq1dDr9W6wVF1QuznO2bNn8cMPP+Dhhx9G79697Woz4Ha7DR8+HAkJCfj8889htVpdbKm6oGvNcXyhzVQf4vLLL79Ap9NhwIAByMzMLDdwr1+/Lv3/pUuXcPz4cenfERERGD58OFJTU5Gdne05TjCZoHZznL1796K0tBSPPPIIsrOzUVZWJr135coV8DwPADCbzcjIyEB4eLj0fuPGjfHwww/j9ddfR25uLpo2bep2+5WCrjXH8Yk2U3pdribGjRvH4uLiWFZWFmvWrBkLDAyUXn5+ftLapL+/f7n3JkyYwC5cuMCioqLY1q1blf4ZbofazXHmzJnDIiIiWGZmJuvfv3+5dtHpdFKbcRxX7r2goCD2ySefsD179rCwsDB24MABpX+KW6FrzXF8oc1UPXNhjMFoNEKn00Gr1cJoNMJoNFb6WYvFAovFIv3bbDYjICBA+p4vQe3mHAaDAX5+ftDpdDCZTFX+frF9bbFarQgKCgJjDCaTyR3mqgK61hzHV9pM1eLCcRyioqJw8OBB8DyPvn37oqioSHr/zJkzOH/+PACgffv2aNy4sfRehw4dUFRUhLKyMqSlpSE2Nhbt2rWzex3dk5Gj3UwmE+rVq+du0xWlfv36MBgMKCoqQvfu3RESEiK9ZzAYsHfvXklEevbsKSVOchyHZs2aIS8vDxqNBnXr1lXqJ7gdutYcgzEGQRBQr1493Lp1y7vbTMFZk118/vnnLCgoiO3evZtZrdZyr3nz5knTxzVr1pR7j+d5tnr1aqbT6VhAQAADwKKjo9no0aPZZ599xs6dO6f0T3MptW23hg0bssuXLyv9M9zK999/z/z8/Ninn356R5tlZWVJocjNmzdn+fn5d7RbUlISi4uL84gwUTmR41q7cuWK0j/DZfA8z8xmMzMajUyv1zO9Xs8++eQTr28z1UeL9evXD2FhYVizZg0YY9BqtdJLo/nLfI1GU+49o9GItWvX4qGHHsLNmzexY8cOPP3007hw4QImT56M2NhYtGjRAk8//TS+/PJL5ObmKvgr5ae27da7d280bNgQ7HYuFJhnFHJwCr1ej2XLluFf//oXrFYrVq9ejbKysnLtotVqpc9zHFeu3TQaDXJycvDf//4XDz74IOrUqaPgr3E/cl1r3oIgCLBarTCZTDAYDDCZTOB5HhzHwd/fH4GBgRg8eLDXt5nqxaV58+YYO3YsvvnmG/z000923eQEQcDq1atx5MgRvPDCCwgNDUX//v3xzjvv4MCBAygoKMB3332HYcOGYf/+/Rg7diwaNWqEdu3aYdq0afjuu+9w69YtN/w61yFHu/n5+ZVbRvQ2oSksLMSCBQtw9913Y8aMGejbty/mzZuHI0eOYOnSpXaHFJtMJrz11lswGAx49tlnAcBr2sge5LjWbMXb0xDFxGw2S2JisVgkMdHpdAgMDERAQIA0pnyizRSYLTlMTk4O69q1K7vrrrvYjh07GM/zjDHG5s+fz/z8/Ji/vz9LTU1lgiAwi8XCUlJSWFRUFJs3bx6zWq12Hf/LL79kEydOZM2bN2cAmEajYd26dWMvvfQS27FjB9Pr9a7+mbLjinYTBOGOl6dx9epV9uKLL7LQ0FAWGBjInn/+eXbhwgXGGGOlpaVs1KhRLDQ0lC1cuJDp9XomCAI7d+4ci4yMZH5+fqxly5ZSRvWtW7fYnDlzWJ06ddgXX3whncOT28cZXD1G1YT4G0wmEzMYDNJSl9FoZBaLRfrtNeHtbeYR4sIYYxkZGSw+Pp7Vq1ePvfzyy+zs2bMsKyuL/fLLL+yXX35hFy9eZMePH2eTJ09mderUYc8//zwrKytz6lznzp1jn332GXvsscdY/fr1GQCm0+lY37592YIFC9i+ffuYxWKR+Re6Ble2m6cJzenTp9nTTz/NAgICWJ06ddjLL7/Mrl+/fsfn8vLy2KOPPsqCgoLY8OHD2a+//sry8vLYnj172K+//sr27dvHbty4wbZs2cL69u3L6taty5YtW1bpgPeUtpEDd45RdyIIArNarZWKidlstltMKsNb24wxxjymKjIAXL16FW+++Sa++eYb+Pn5oU2bNrjrrrvA8zyys7Nx+vRpREZGIikpCYmJidDpdLU+J2MMJ0+eRFpaGtLS0vDrr7+ipKQEYWFh6NOnD/r374/+/furOhLt6tWreOutt7B+/XqXtVtll5Fa2iM9PR3JycnYsGEDGjRogJkzZ+LZZ58tlwRZkbKyMnz++edYunQprl+/jpiYGLRq1QphYWEoLCzE6dOnce3aNXTu3BmvvfYa+vTpU26tvCK27aOWdnEF7rjWXA37/4gu2xdw2/9h+5KrH+1ps3r16mHu3LmqbbPK8ChxAW6vb586dQo///wzDh48iLy8PPj7+6NFixbo27cvBg0ahPr167vs/FarFYcOHZLEZu/evTCZTKhfvz769euHfv36oX///oiJiXGZDc7A8zwyMzOxZcsWl7ebGoSGMYZdu3YhOTkZ27dvR8uWLTFnzhwkJiYiMDDQ7uPk5uZKDxXnz5+H0WhE3bp10a5dOwwaNAjdu3dHcHCwQ3aJeKvIuPNakwtBEMDzfDkxsQ3ckFNMKqO6Nrv//vvxwAMPoHnz5tU+wKgNjxIXxhgsFosUOcEYk6IwlHJuifkPotgcOnQIgiCgefPm0qymb9++qorscGe7uVtoBEHAd999h+TkZBw8eBD33Xcf5s6di0ceeaTWv5XneTDGpCfX2lCxXbxVaNQwRitDFBFRUIC/xEQUFKX6pLI2Ky0tlYIDPAWPEhee58HzPAICApQ2pUqKioqwe/duSWwyMjIAAG3btpXEpk+fPj4Xrgq4VmjMZjPWrVuH9957D6dPn0bfvn0xd+5cDBw4UNU3bl8RGaWxXeISa8QBkGYlcjwwuBIxAi0kJMRjrhGPEhcxvM+TtpTNzc3Fzp07sXPnTqSlpSE7OxsajQZdunSRxKZnz54ICgpS2lS3IpfQlJaWYsWKFVi4cCGuXLmC4cOHIykpCQkJCXKY6VZ8YcnMXYhP/6KgiG1ru8ylZjGpiCAIKCsrQ2BgIPz9/ZU2xy48RlzEWHJ/f3+PHnjnz5+XZjU7d+7EjRs3oNPp0KtXL8lf06VLF48S0NrijNDk5+fjo48+wrJly1BcXIxx48Zhzpw5uPfee11lptsgkXEc0QkvCoqtmNgKiidjMBggCEK5skRqxmPERSze5imqbQ+CICAjI+OOSLTw8PBykWht27b1mZtMTUJz6dIlfPjhh/j8888BAJMmTcLMmTPRrFkzt9noLkhkqsbdEV1qgOd56PV6BAcHq8p/VRUeIS6iI9/Pz8/jnz6qw2q14o8//pCW0H7//XeYzWYpEk0UmxYtWihtqluwvTQzMzPx/vvvY926dQgLC8PUqVMxZcoUREVFKWiheyCRuY3SEV1qoKysDBqNxiOW0T1CXKxWKxhjXjVrsQeDwYDff/9dWkITI9FatGghiU2/fv3QoEEDpU11GQcOHEBycjL+97//oXHjxnjxxRcxadIkhIaGev2NpCK+JjJqjuhSCovFAqPRiJCQENU/aHuEuJjN5juKB/oiRUVF+PXXX6VltFOnTgEA2rVrJwmNN0SiMcawfft2JCcnY9euXWjdujWSkpIwduxYBAQEqCKPRkm8NcLM0yO63AFjDGVlZR4Rlqx6cfGE8GOlECPRRLG5ePEitFqtFInWr18/9OrVy6GkQSXheR4bNmxAcnIyjhw5gi5duuCll17CP//5zyofLHxZaDxdZLwtostdiGHJoaGhSptSLaoXF08MP1YCxhjOnz8viU3FSDTRX9O5c2fVtaXJZMLatWvx/vvv4+zZsxgwYABeeukl9O3b16EbJgnNbdT6m30hossdeEpYsqrFxVvCj5VAEASpJtrOnTtVGYlWXFyM//znP1i0aBFyc3PxyCOPICkpCV26dKn1sX1VaNQkMlVFdImZ594Y0eUuPCEsWdXi4quOfFdgsVjuqImmVCRaXl4eli5dio8//hhlZWV44oknMGfOHMTFxbnkfL4oNEqJDEV0uQer1QqDwaDqsGTViouvhB8rhW0kWlpaGtLT06VINNFfI3ckWnZ2Nj744AOsXLkSWq0WkydPxowZM9CkSRPZzlETviY0rhYZiuhSDrWHJatWXGjW4l5qikTr378/HnjgAaci0U6ePIn33nsPX331FerWrYtp06bhueeeQ7169eT+GQ7hS0Ijl8hQRJd6MJvNMJlMqg3LV624UPixsuTk5GDXrl1VRqKJNdGqi0Tbu3cv3n33XWzevBnNmjXDrFmzMHHiRIdK1LsLT4+8shdHRYYiutSL2sOSVSkuYvgxOfLVgRiJJgYHVBeJptVqsXXrViQnJ2PPnj1o06YN5s6di8cee8xjZqG+IDRV/UZbJ7y4xQBAEV1qRc1hyaoUFwo/Vje2kWhiTbTS0lIEBQXB398fxcXF6NChA95880089NBDHn0z8nahqRjNJf5eiujyDNQclqw6caHwY8/CYDBg5cqVeOedd5CTk4N69eqhpKQEFosFDRo0KBeJ1rx5c6XNrRXeIjRVRXRVFBTCMzAYDGCMqW65WXXiQo58z+DWrVtYvnw5Fi9ejBs3bmDUqFFISkpCp06doNfr8fvvv0sJnRUj0cRoNLVtdesIniQ0jkZ0qSlXhqgZtYYlq0pcKPxY/eTm5mLx4sVYvnw5TCYTJkyYgFmzZiE2NrbK7xQVFeGXX36RfDZiJFr79u2lmU2fPn0QHh7urp8hK2oTGrkiukhkPIeysjJotVpVlXpSlbhQHTH1cu7cOXzwwQdYtWoVAgIC8Nxzz2HatGlo1KiRw8fKyckpVxPt0qVL0Gq16Nq1qzSrqSkSTa0oITTVlVWRY5mLREb9qDEsWVXiQuHH6uPo0aN477338M033yAqKgozZszA5MmTERERIcvxbSPRxJlNfn4+AgMDpUi0fv36qbImWk24SmiUiugikVEvYlhyQECAah7OVSMuFH6sHhhj2LNnD5KTk7F161a0aNECs2fPxpNPPunybGBBEHDixAlpZiNGooWHh+Nvf/ub5LNp06aNR10ntRUaWwe80jW6SGTUidFohNVqVU1YsmrEhcKPlUcQBGzevBnJycnYt28fOnTogLlz5+LRRx9VrF8sFgv++OMPaVYj1kTz5Eg0e4TGE2p0qc3X5OuIYclBQUGquI+qQlwo/FhZLBYLvv76a7z33nvIyMjA/fffj7lz52LIkCGq6w8xEs22JhpjDDExMeV25/SUSDRx+FVVPdgTanSRyKgHvV4PAKoIS1aFuFD4sTLo9XqsXLkSH3zwAS5duoR//OMfmDt3Lnr16qW0aXZTWFhYriZaZmYmgNuRaLa7c6otEq2yiC7GWLllLk/0PdKSmbKoKSxZcXGh8GP3U1hYiI8++ghLly5FYWEhxowZgzlz5qB9+/ZKm1ZraopE69+/P3r06OH2SDRHI7o8fTZAIqMcaglLVlxcKPzYfVy9ehWLFi3Cf/7zH1itVkycOBGzZs3yKH+FIzDGcO7cuXK7c1aMRLOtiSb3ueWK6PJkoSGRcT9qCUtWXFwo/Nj1ZGVl4f3338fatWsRHByMKVOmYOrUqR7jl5ALMRLNdnfO0tJS1KlTp9zunM5GorkjostThYZExn0wxlBaWgqdTqfoQ7ui4kKOfNeSnp6O5ORkbNiwAQ0aNMDMmTPx7LPPqs7/oBS2kWhpaWnYt28fzGYzGjZsKG2WVl0kmtIRXZ4oNCQy7kENYcmKiguFH8sPYwy7du3Cu+++ix07dqBly5aYM2cOEhMTFV+DVTvVRaL1798fffv2RZ8+fRAZGam6iC5PExoSGdeihrBkxcRFnLWQI18eBEHA//73PyQnJ+OPP/7Afffdh7lz5+KRRx6hJUcnuXnzJnbt2oWdO3di165d+PPPPwHc3p1TnNX87W9/U91M0JOExpNs9TSUDktWTFwo/FgezGYz1q1bh/feew+nT59G3759MXfuXAwcOJAGqoPUFNGVm5srFeBMS0vD5cuXodVq0a1bN0lslIhEqw5PuXl7ip2ehBiWHBISosgDvCLiQuHHtae0tBSff/45Fi5ciKtXr2L48OFISkpCQkKC0qZ5DLWJ6BIj0Wxrot28eROBgYHo3bu3JDauiERzFk+5gdOSmXyUlpbCz89PkQceRcSFwo+dJz8/Hx999BGWLVuG4uJijBs3DnPmzMG9996rtGkegasiumwj0dLS0rB7924pEk2sidavXz/V1ETzBKEhkak9SoYlKyIuFH7sOJcuXcKHH36Izz//HADwzDPPYMaMGWjWrJnClqkbpSK6LBYLDh48KOXYVIxEE8Oe7777btnP7ShqFxoSGedRMizZ7eJC4ceOwxhD69atcfPmTbzwwguYMmUKoqKilDZL9fA8D7PZrIqILr1ej99++01aQktPT0dcXJwUJKAW1HwjF21Tm11qx2g0gud5hISEuPW8LhWXqg7NGKvyAqEL53bSY8XwweraDABiYmJcbZaqEWcltjDGwBir0m/iLn9fZf0JVN+nvt6fhHNUNg4EQQDHcZVea2I9O1egSAA0CUj1mM1mbNq0CdOmTVPaFI+i4nWlluuM+pNwF5Vd89WJh9FodFmossuXxcRcFsIx1q9fj6ysLLzyyiuquUmqHaPRqKowYFu+/fZbnDp1CvPnz6f+JFSB0WiETqdz2fXo8nUBFVT090hGjx6NLl26YO7cudSGdqLValXbVo8++ih69uyJWbNmqdZGwncQl2Rd+aDjcnHx8/OjweQkQ4YMwbBhwzBlypRK11KJ8vj5+cFsNittRpUMHDgQo0ePxuTJk6U9XAhCCUwmk8ujx1wuLhzH0UCqBb169cIzzzyDiRMnwmq1Km2OqhGfwtT8MNOtWzdMnz4dTz75pKqFkPBe3BV155ZQZIvFQmVeasm5c+fw6quv4osvvlCtX0ENMMakUHc1c+nSJcyePRurVq1SxZa0hPchVqAAUC6fy9W+FhG3iAvFp8tDTk4Opk6dii+++AJhYWFKm6Na3DV4asuNGzfwr3/9CytWrEBERITS5hBeBGMMZrMZGo1GCskPCAiQ8gx1Op3LbXBbEiXNXuShsLAQkyZNwvLlyxEdHa20OapErF3nCYm6xcXFeOqpp/Dxxx+jQYMGSptDeAkWi0VKGgZuJxSLy+oBAQFuGRduqxrJcZykoLYvwjHq1q2LtWvXYsqUKbh48aLS5qgSsVaYWHnbtkCl2q658PBwpKamYtq0acjOzlbaHMILEJeGbfNbtFotAgIC3CYsgBtnLrbrf7bYrgUKgkBVku3EbDbj6aefxty5c9GmTRulzVElYl0xoLyzX40b1FksFkycOBFJSUlo27at0uYQHozBYEBgYKDis3a31har7FS2pQk8wRGrJniex7/+9S9MmjQJXbt2VdocVVKxVhZjDDzPS7MbNcHzPJ577jlMnDgR3bp1U9ocwgMRfS3u8KnUhCpqi9nWgFJabdWAI8tdjDG8+OKL2LBhgwstUj9V5QFVNRu2WCxuG4BV9WdltcWoP4naYLVa77jelaqx53ZxEaMVqqpQS+IClJWVVfr3qgodMsYQGhrqarNUTcVrTRAEWCwWCIJQ5RKBu661yvrTtvx/ZQKjZH9SdKfnUnEcWCwWqTJ4VSHvHln+RRw4ti+tVistfVmt1nLLYnQx3yYkJOSO1+nTpxEWFobTp0/f8Z6vCwtQ/iZtO6ACAwOlGXHFl7uorD85jsO7776LyMhItG3bFtu2bUNwcLAq+lPtyahqtUsNiNc2YwwGgwEmkwlarRZBQUGVjgGPLv9S6Uk1Gvj7+0Or1YLneekJkyBqg9VqhdFohCAI8Pf3h06nU22ASGhoKN555x1kZGSgffv2GDlyJAYOHIiMjAylTQNAsxZPhTEGo9GIsrIyMMYQHByMoKAgRcaBoiNPnMWIznwxdJQgHEEQBBiNRlgsFvj5+UGn06kuGqwqWrZsiR9++AFbtmzBpUuX0LFjR0yfPh1FRUVKmyY9AROegcViQVlZmZQkGRISomjQiuKPdWJYqFjg0mKxUC0ywi7EyBiTyQSO46DT6TwicbIyHnzwQZw8eRLvvPMOVq5cibi4OKxYsUIVY4EERt3wPI+ysjIYjUb4+fkhJCTE7VsaV4bi4iJCS2WEI1gsFmkJLCAgQNVLYPYSEBCAOXPm4PTp0/j73/+OSZMmoXv37ti3b59iNqnd/+LLiH4VvV4vOezVkN8iorrRWHGpzGKx0IVNSPA8D6PRKG1CFxgYqLp8ldrSuHFjrF27Fr/99hsYY+jZsyfGjx+PnJwcRewhgVEfZrMZpaWl4HkegYGBCA4OVt04UJ24AOWXyoDbT6lUbt63EQQBJpNJKsYXGBjo9Qm3vXr1wsGDB/HZZ5/hxx9/ROvWrfHBBx8oUqqfBEYdWK1WlJWVSfuxhISEqHYcqFJcRGyXygRBgNlsVsUaNOE+RD+cyWSSKru6sz6S0mi1WkyaNAlZWVl48sknMXfuXLRv3x7btm1zuy0kMMohCAIMBgMMBgM0Gg1CQkJUX/lb1eIiIhZd02g05I/xIaxWK0wmk1QWyBuXwOylbt26WLp0KY4cOYLGjRtjyJAh+Oc//4lz58651Q4138y8EcYYTCYTysrKIAgCgoKCFAstdhT1W2iDn59fuQRMCl32TsQlMLFseGBgoMeEFrua9u3bY+fOnfj2229x9OhRtGnTBi+//HKVVR1cBY071yOGFoulikJCQjxqHHiUuAC3n5z8/f0pdNkLsQ0tBgCdTudTS2D2wnEcRo4ciczMTMydOxcLFy5E69at8fXXX7vlpk/LY66F53no9XrVhRY7iseJiwiFLnsXttn13hJa7GqCg4PxxhtvIDMzE927d8eYMWPQp08fHDt2zOXnJoGRHzG7Xq/XS9n1agotdhSPH72U5e/ZiKHFttn1vupXcZYWLVpgw4YN+Pnnn5Gfn4/4+Hg8//zzuHnzpkvPSwIjH2azWcquDwwMVDy7Xg48XlwAyvL3RMQlMNsCk56aXa8WBg4ciGPHjmHhwoVITU1FXFwcli9f7tKxQAJTO8TsepPJJC2BqTW02FG8QlxEaKnMM6gsu55ERR78/f0xffp0ZGVlYfjw4XjuuefQuXNn7Nmzx2XnJIFxHDG0WMyuDwkJ8eglsMrwKnERoSx/dWKbXe/rocWupkGDBli5ciUOHDgAnU6HBx54AI8//jiuXr3qkvN5003RldiGFvM8j6CgIAQHB3ulf9H7ftH/Iy6ViVNMMcufRMb9VJZd70khlZ5Mt27dsG/fPqxatQppaWlo3bo13n33XSkiT25ofFWN1WqFXq+H2WyWsuu9eRx4rbiI2IYui7sTkj/GPdhm1wMUWqwUGo0GTz75JLKysvDss89i/vz5aNu2LTZv3iyrGNDyWOUIggC9Xu9R2fVy4PXiIqLRaBAQEED+GDchZtfzPK/6jbt8hTp16mDhwoU4fvw4YmJi8NBDD2Ho0KHIysqS7RwkMH9huwTGGPOo7Ho58I1faUPFbZZpqUxebLPrtVqtR23c5Svce++9+Omnn7Bp0yZkZmaiXbt2SEpKQklJiSzHJ4Hx/Ox6OfA5cQEoy98VVJZdT6HF6oXjOAwfPhynTp3C/PnzsWzZMsTFxSElJUWWGb2vCoy3ZNfLgU+KiwiFLssDZdd7LkFBQXjllVfw559/4oEHHsATTzyB3r17Iz09vdbH9iWBsc2uB+Dx2fVyQHcAUJa/s1TMrqfQYs+lWbNmWL9+PXbt2oXS0lJ07doVzzzzDG7cuFGr4/rCzbVidr0aN+5SAhKX/4ey/O1HdFT60sZdvsLf/vY3HD58GEuXLsW3336LuLg4LFu2rNab9Xnjw5rtxl3+/v5elV0vByQuFai4VGY2m2mpzAYxu94XN+7yFfz8/DBlyhScOXMGo0ePxrRp03Dfffdh165dTh3P25bHbDfuErPrfSG02FFIXKpAXCrTaDSU5Q/KrvdFoqKi8Omnn+LQoUMIDw9Hv379MGrUKFy6dMnhY3mDwFS2cZe3ZtfLAbVKNVCWP2XXE0B8fDx+++03pKam4rfffsM999yDN998EwaDwaHjeLLAiKHFYnZ9cHAwjYMaIHGxA1/M8qeNuwhbOI7D2LFjcfr0aUydOhULFixAmzZtsGnTJofEwtMERsyuNxqN0Gq1tATmACQuDuArWf62ocWUXU/YEhYWhuTkZGRkZKBNmzZ4+OGHMWjQIGRmZtp9DE+4MYuhxWJ2fXBwsE9l18sBtZQTeGvosiAId2zcRVN/ojJatWqFLVu2YPPmzcjOzkaHDh0wc+ZM3Lp1y67vcxyn2jEjLoFZrVYpu578i45D4uIk3hS6bLsExnEcZdcTdjN06FCcPHkSCxYswGeffYa4uDh88cUXds/o1SQw4sZdlF0vDyQutcTTs/wr27iLpv6EI+h0OiQlJeH06dMYOHAgJk6ciISEBBw4cKDa76nF/2KbXc9xHGXXywTdRWTC0zYosw0tpux6Qg6aNGmC1NRU7NmzBxaLBQkJCZgwYQKuX79e5XeUFhjKrncdJC4yYrtUBvwVuqwmKgstpqxiQk569+6NQ4cO4dNPP8UPP/yAuLg4fPjhh7BYLJV+XgmBoex610Pi4gJsl8oEQYDZbFbcH2O7cRdl1xOuRqvV4tlnn0VWVhYSExMxe/ZsdOjQAdu3b6/08+4SGNvsel/auEsJSFxciFarRUBAADQajaL+GHHjLsquJ9xNvXr18NFHH+HIkSNo0KABBg0ahBEjRuD8+fN3fNaVN/jKsusptNi1UMu6Adssf3eGLttu3EXZ9YSSdOjQAbt27cLXX3+NQ4cOoU2bNnj11VdRVlZ2x2flHhu22fW+unGXEpC4uInabFDGGENhYSEAoLCwsMbBR9n1hBrhOA6jR4/Gn3/+idmzZ+Pf//437r33XnzzzTfSNV3d8hhjDPn5+cjOzkZ+fn6N48B24y6tVovQ0FAKLXYjJC5uxpHQ5aKiIixZsgStWrXCgAEDAAADBgxAq1atsGTJEhQVFd3xHcquJ9ROSEgI3nrrLZw6dQrx8fEYPXo0+vbti+PHjwO4U2Bsx0F0dDRiYmIQHR1d5TiwDS22za6nhys3wwjFEASBWSwWZjKZmMViYYIgSO9t27aNhYSEMI7jGMdxDID0Ev8WEhLCtm3bxhhjzGq1MoPBwPR6PTObzeWORRBqZtu2bax169ZMo9GwKVOmsJs3bzLGbo+PrVu3OjQOTCYTKykpYSUlJcxsNiv5s3wejjEVJ2P4CIIggOd5MMag1WqxY8cODB06FIyxagMAxBnJd999h/79+0uzIpqpEJ6G2WzGsmXL8MYbbyAgIABvv/027rrrLjz00ENgjFW7BCZe7xs3bkS/fv2kGTvNVJSFxEVF8DyPmzdvokWLFjAYDHY5NjmOQ1BQEC5duoTIyEg3WEkQriM3NxcvvfQSVq9eDY1GU6OwiIjj4PLly6hXr54bLCVqgh5xVYRWq8WXX34prRXbA2MMBoMB69atc7F1BOF6GjZsiFWrVmH69OkQBMHhcZCamupiCwl7oZmLimCMoVWrVjh//rzDe2TExMTgzJkztBRAeDziODh37pxD36NxoC5IXFREfn4+oqOja/V9WhojPB0aB94BLYupiNLS0lp9v6SkRCZLCEI5aBx4ByQuKiI0NLRW3w8LC5PJEoJQDhoH3gGJi4qIjIxEbGysw+vFHMchNjaWomQIr4DGgXdA4qIiOI7DCy+84NR3p06dSk5MwiugceAdkENfZRQVFaFp06YwGAx2VVDWaDQICgrClStXEBER4XoDCcIN0DjwfGjmojIiIiKwYcMGcBxXY6a9RqMBx3HYuHEjDSjCq6Bx4PmQuKiQwYMHY8uWLVKxvYrTfPFvQUFB+PHHHzFo0CCFLCUI10HjwLMhcVEpgwcPxpUrV7B48WLExMSUey8mJgaLFy/G1atXaUARXg2NA8+FfC4eAGMMBQUFKCkpQVhYGOrVq0dOS8LnoHHgWZC4EARBELJDy2IEQRCE7JC4EARBELJD4kIQBEHIDokLQRAEITskLgRBEITskLgQBEEQskPiQhAEQcgOiQtBEAQhOyQuBEEQhOyQuBAEQRCyQ+JCEARByA6JC0EQBCE7JC4EQRCE7JC4EARBELLzfzld7QItw7/HAAAAAElFTkSuQmCC\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.decoder.plot(metric='act')" - ] - }, - { - "cell_type": "markdown", - "id": "c30b90e9", - "metadata": {}, - "source": [ - "Case 2: KAN encoder, MLP decoder" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "id": "e52efc2b", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "checkpoint directory created: ./model\n", - "saving model version 0.0\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "| train_loss: 1.16e-02 | test_loss: 2.59e-02 | reg: 3.83e+01 | : 100%|█| 100/100 [00:33<00:00, 2.96" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "saving model version 0.1\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "\n" - ] - } - ], - "source": [ - "enc_type = 'kan' # 'kan' or 'mlp'\n", - "dec_type = 'mlp' # 'kan' or 'mlp'\n", - "\n", - "model = AutoEncoder(width_enc=[4,5,2], width_dec=[2,5,4], seed=1, enc_type=enc_type, dec_type=dec_type)\n", - "model.fit(dataset, lamb=1e-3, steps=100);" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "id": "6c11693e", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", 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vf/yTTp1YW1TqZJpwsJ7w0XHqlIaVcpHw9NM87xxhKWmkC0/MmsWFbLNm6Zh1GApvOWy7dhzc7NaN0+JCkJ3Ng4MXX+Rp/pjC7baKZ6JBl8KZcPAG8SZMUHRx+3LkSPjz70ScZfbnn5xYI1gM9jxErAnonXK4tURM49FHg4ppLFjA/Zgzh+uVYg4DyFxJ7fBSDem9JCaeD+KF8e4arg69V7SiZs0yohUy8Ntv5T02iJhGURH3YedO3kSqUZvJkNrhNa+Fj5Q6dbiwZMQIxT8JR4c+pGiFaAKl0/oR0zh2jB/811/PTi90mlUPpLozl0dqhz95UrIhvS9t23Iyyty5ijZXGqFXLFohknXrgBYt/P/NR0xj14tL0LMnC1Y8+KC+JgrDGtJHjpRDel+GDeOsEQVBvD17OEM1GF7RiokTha/nEJjiYtbZDjYud7vx2UMzMDL9Gkxr+BaSG8vtBKojsdNL7fDSDum92O0chZowIaTcc6iFJ7ZsOS9acd11qlqpLj/+yKvTBoCI45orPrFj7o+NcFFNYp0BpWIaRqdSpdAaAgKR2uGlf8ID/KR76SWeUA4QxMvLAypWDNzEV1/xa29GhqTSTb4EKYc9c4ZTfitU4AV+3G5wEO/WW/lFXmJHUA3J02sth1eDunW5kmXkSL9/3r2bK279sXAhp5XOmWOQUtBNm4Cbbir39YEDXHLQpQvn45SKXXXpwkHOUGIasYDkFXNSO7zQJZnCpV07oEoV9t4y+NOh9xWtmDrVIKmlZ87wa0wZYzdt4if7K68EkaZv3Tq0mEYsYD3hIyfSzDRhPPMMT0fl5JT6uuwcvOaiFVrx7bfAv/5V6qvMTK50mzuXF4UISigxjVhA8vRaqR3eUM4OsOdOngyMHVsqiOc7pNdNtEIL1qwBWrUCwDerESN49mHmzDBevQKJacQKkstcSe3wEs9uBKZKFQ7ipaVxuhyA/Hx+NdFdtEJttm8HrrsOR49yP5o25bCFPdyryFdM48MPNTFVGJLLXEnt8IalXj1+Vx01CkVF7BAHD3Kgetgw4M47RRsYASXFAL/ssqNXL+5Hp05RtOcV0/jySy4DjBWsoJ1Jad8eiI/H3snLkZgoWLRCDdauxSdVu2LMGK7Hb9RIhTa9Yhr//MNBDY9HhUYFU7my5fCRcPasatqI4hgxAsvmncD3X+eJF62IAiKWjP7ieFP16/FtNn4vuPpqvitGIKYhFdYTPjKkz7JTwMefxCHL0xkvV52IGvhbtDkRkZcH9O9HqHL6AF6ZmqDdTbhPn4jENKTDmpaLDKkLZxTgFa1o0tSBRq8+yuW0JUE8o/Dnn5xM0731QfRp9Zv2MwpeMY2uXcPWG5AGy+EjwzBZdmUg4uIXr2jFiRPAhc2u5Yt49GjR5inm2295ouG114AWeas0Xx32HLfeyhk8PXtyTbHRsKL0kWHEIX1hIaeOX3TRed8+91Ts2JGTzBcsEGWeYmbP5sDc3LklFX7BymG1oF49XnZm0CDg++/1268auFycpCAp0jq80Z7weXn8GnrnnedFK8qJVo4cCSxfzhVnElJYCAwdynZPn17ySlVczCdD70R/r5jGCy8An36q776jReIEEsvhVcArWtGvX2nRinKiF95MvFGj+EcSceQIj6JbtOAM4XPJNFu3qjQHFwFeMY0PPohKLdjiPFI7vBGCdr6iFWXSzP2r3FSrxrWwqanSDP22b+c13UaMAO6/v8wfNVodVjFuNw83tm/np73ET08jILXDy/6EDyVaEVDWqkEDXkBtzBiNLQzNxx+zfsfMmZzfX46NGzmHViR2O1cZVaxoLjENDZDW4WUP2ikRrdi/H7j00gANdOrEutMffKCViUHxeDjlf+1aznCtXt3PRvn5HHVUbcH5KDGKmIbdLm3WoLQOL/OQfsECLvgKJVpBFKKwZNQoYOlS4KefVLYwOKdPs0hFjRrs9AH17jduBJo109W2kHjFNLp0kVdMIz6eD7KESO3wsj3hvXptOTnAtGnBRSv++UdBYNsbxBs5kqNmOrBvHyfT9OrFn6D4lMNKRevWvIB89+7cIdmQOPlGWoeXbZmp4mIOank8HDsKJVqhWIf+gguA557TJYi3YQPHHN58s3yA0S/btnG8QUa8YhqPP852yoTE+fTSOnxenjyyT17RikaNOGakJMU0rJViGzZk4fZx46KyMxizZvHM1rx5wJVXKvjB0aM8RAm72F1HvGIaI0bIJaYhccWcxGdTDjUYr2hFly6cHauUsJeGfuAB7rDKghBnz/JCEEePsnaeYo3AdeuAlBRVbdEEGcU0EhOlTa+V2uFFc+DAedGKcFc6/e03BRpvZRk9mi/arVvD/KF/Dh8GevTgV94hQ8K8gYqefw8H2cQ0KleWVubKcvgA/PJLdKIVxcURrPbqcHAQ79ln+ZEcBVu3ckLQmDG8KlbY/P67wrG/JPiKaXiDLaKwnvDhI3I4v3EjXzMzZ0YmWpGfH0X84cILeY3oKIJ4H33EgcX09AhXsdm7F6hVK6J9C8UrpnHNNRzMEyWmkZBgPeHDgUhcBuXy5TwqjEbZJTc3yvXPr7+e3+knTAjrZx4PB/w3buSEoAsuiHD/X39tnOG8P/r0ATp0ECemIbFUtZQOX1AQfGkmrZg5E/jsM45ox8dH3k64a8H75T//4feCxYsVbX7qFC8xfcUVnAEY9uuEL2vXGiNgFwyRYhrWtFx46J1l5xWtOHCARSuichaEtxZ8UMaO5dTbEPPMe/ZwMs1jj3HVXlR4PDw1Ua1alA1JwK23chDm0Uf1FdOwpuXCQ88sO1/RilGj1Ikd5OaWX1oqIrxBvBEjAqaRrl3LD7K33+brO2q2beNXilihbl0esukppmE94cNDL4c/fbq8aIUa5OVF90pQiurV+V0+NbVUlRgRp/fOn8/LPV1+uUr7M9J0nFL0FtOwnvDhceqU9kP6v//2L1oRLd6FJ1SlcWMOQk2cCIBjHE89xTeWKVNUjnd8+y1wyy0qNigJXjGNhQs5oqklcXHSlvBK6fBaP+H37OEn+6RJCnPKw2DfPo1mtB56CCgowN8ZK9CjB3DPPTxKVXX6Mj+fhw6ylMOqjdvNYn07dnBk04RiGlI6vJaFM1u2cD78u+9GOEcdgrBTasPgxwfGoe+zF2F8j91o00aDHWzapFIgQGK8YhqVKvEdU6snsQx54X6Q0uG1itJ/+WVo0Ypo8bcWvBp8+CHw0utOZKy5CnWnPqVNLbis5bBaMHAgD+969tRGTEPS0YOUDn/ihPpD+gUL+BUulGhFtKgyB+9DcTHH7H74gavdqtWpzrXgaWnqP51++im2IvSh6NyZ3+1kFtNQGSkdXs2gna9oxdSp2pfcHjnC2bFqcPIkX49JSRyvczhK/pCczIklkyapsyMAOHaM36NkLofVglat+I6qtpiGpIE7Kc+uWkG74mJg+HDlohXRQsSvbmq8vv32G88iPPlkgLLcLl04TP/RR9HvDDBOOawWNGp0XkxDpUpFWfPpY9bhvaIVjRsrF62IlkOHOIEnWr76iheEePfdEIKxEybwe8qOHdHvNBbn38PBK6bx7LNcSxAtkubTS+nw0Q7pjx/nOvBwRSuiJdoIPRE7+aJFfO2VWrXGH04np9gNG8ZD8mjYs6dkXSkT4xXTmDqVT0I0WE945RQURP6ufeAAB16feSZ80YpoicbhCwo4cFxUxD6seCq8Rg3OuY8miLdvH1fdWJwX01izhk9EpFhPeOVEOvz+5Regf39e8TQS0YpoidThDx3i4pf772e/Dbv/TZoA997Lc46R8PXX5pmOU4K3huH48cjFNCTNp5fS4SOZwvSKVsyYEZlohRr88Uf4Oe0//MBVbs89B9x1VxQ779aNnyjLl4f/27Vr9V0d1gjYbPw+n5QUmZiGpPn0jtCbyM/y5ZwiPXeuikUrERBy4YkyLFzISz3NmQNUqaKCAZMm8fTStdcqTwbweHgOWq25xFijd2+OxHbvzoIJSlNAExOlnNuX8gkfDjNmqCNaES3Hjyu/FoqLWWtu+3aWoVLF2YHzQbynn2aDlLB9u7za87Jw331cg9ytm3IxDUmFLKVzeJa3Cj2m94pWHDyojmhFtOzc6VH0/n78OK/40qABx9pUzw2oWZPvJgMGBH339Hj/ZqDpOI9IYUqvmEbPnsrENEqELIXa7A+SgOzsbEpNTaXGjRuTw1GFgBnkdDqpcePGlJqaStnZ2aW2P3uWKDWVaNo0QQZTaZudTicBXSkurlNAm4mIcnOJ2rcn8vMn9Zk7l2jSpCD2gpxOJ62sWpUG9evn117RBLI52DHWnAMHiNq2Jdq0ye+fvTa3r1uXXrDb5bDZB6EOn5ubSykpKQSAHA4HASCgJgGvl/z/+e9TUlIoNzeXTp0ieuQRomXLZLIZBIwhoK5fm4mIPv+c6D//ITp4UEdjBw+m/dOmBbAX5AJofgB7RRL4GCPgdaErx48TPfAA0cqVAW2+BKC3ZLK5BGEOn5mZSW63288JTSJgvN8T7HJdRk2b7qNvvpHNZhAwhwCnH5vd1LPn95SWRpSfr6+982fPpkV2O10XF+fXaW4D6L9l7HW73ZSVlaWvoT4EP8b+HV+Izfn5RL17E6Wn+7W5MkDpstlMghw+MzOTbDZbgJOYTMDTfr6/ioClBNSjzMxMyWwGAfP9fOcm4G0C+tO8efra7LW3BkAfAZTgx+ZnAUr2873NZpP0GAf+CLG5uJi23X8/DfdnD0ALJbRZd4fftWsXud3uIAeiBQH9/dwElhBwKQEgt9ut65AotM0uAmaX+e5iAj4g4HbdbS5r740lTxtbGbsXAmQP0Cf5jnHojyibBwD0JkBxZexZJKHNujt8SkpKiOFaWwIe9vl3KwLeJ6DKue8cDgelpKRIZHN9Akb5/PvGkhtUbSE2+7P3EYCG+fw7EaBZQS5E+Y5x6I9Imx8CaC5AFcN0eL1t1tXhN2/erODEPURAx5L/70zA9JInaPlt9Yh4KrO5Q4mtXpvTCagsxOZg9r4CUJuS/28LUC8FF6Q8x1j5R5TNtwO0FKBqYTi8njYTEek6D5+RkQGHI1RyXwKAEwAGArgBwOMAyqc1OhwOpKenq25jWZTZfC2AXwFMAFAHQB8A5ZMu9LA5mL3DSyxLAtAKwJoQbcl1jJUh0uY1AEYByAQQTimSXjYDOqfWrlu3DkUhF0hMBNADwA8Angm4VVFREdavX6+idf5RZnMDAE0AfAAg8NJQetgczN5CAE8CmF7y7z0h2pLrGCtDtM1bAfQHMBXKnUsvmwHARqSf2p7L5UJhYWGIrb4FsB7A0yHbczqdOKvxCqHKbP4LQE8An4RsT2ubldjbA8CzAJRk28tzjJUjg80XANgN4CrweDUUetgM6Jha6/F4FJ7UQQDyFLVZWFioaeqicpubgG9QoUvltLRZqb33AlCqci3PMVaODDYXgIf4SivitbbZi24Ob7fb4VSU8L4JgDJtdKfTCbuGoovKbf4TQF8AswHUDLqlljYrsfdmAH8j9HDeizzHWDky2HwvlIz3zqO1zV50DdrVr19fwVYEIBcc/ApOAx2qvJTZDAC/AXgCHLIJvDC71jaHsnckgIlhtCfXMVaGDDZ3ABCOvKgeNgM6O3yLFi0URmMXA+gUdAuHw4HmzZurYlcwlNsMADsBDAYwHxx8LI0eNgez924AW8ARByXIeYyDI4PNLgBVId9xBgBd5+Gzs7MVzks6CFghxdylcpt9P00JWElAvO42B7LXBtAqcMJNOH2R9xjLa/O9AA2U0GYiKTPtvJ9ZBFzu92/GyAJrTsBHBFTQ3WZ/9j6E0oUyoT7GOMZy2jwdoFqS2qy7w+fm5irMmb6fgFS/f9M7/1i5zWU/dxKwiACnrjaXtdcB0BcAucOw3TjHWC6b4wD6RGKbhVTLZWVlKaiKqlDyhCz9vc1mE1JWqMxmf592BGTR3Lnzhdn7OJSl0Rr3GMtjcwpAIyS2WcJ6eN9PFgEX8lPKwLXaAwaso549iYqL9be3qstFq222cpVcwew14jGWxeY3AKonsc0SKt74frqQ3d6XAFDLli0Np8bia3NGBlG/fkQej772/j1kCD1bv37Y9ook0mMs3OYWLWiV5DZLpWmXnJxcSrvs+utvo6uv/kG4Dpg/AtmcnJwcULtsyhSiQYN0dPqjR4nuuYfI44nIXtEYzuZNm+hgr15S26xrLr1SPB7PuayjBx7gddHVXi9ebXxtDsarrwJHj6q70nNAhg0D2rTxu6qMUntlQnqbR4zgC/amm859JZvN8ljig+8Buu8+YOVKgcYoROlJHTyY14177jmNDdq/n9e+CrCElEwXoVKktpkI2LwZuPHGUl/LZrNc1vihfXv1lkCXhZEjeVWoN97QcCcTJgCjRmm4A4tS7NgB1K+vz7rkUSC9w9eowUt05eeLtkQ9bDZe93HPHmDaNA12sGsXr3rSpIkGjVv4ZfFioFPwdHAZkN7hAV5k8fPPRVuhLjYb8PrrwPff81rwqjJuHK8+Y6Ef69cDeuXDR4EhHL5TJ2DpUtFWqI/dDrz3Hq+N9+GHKjW6eTMvVlcndLWhhUrs3QtccYUG64apjyEc/oorgAMHAJVUkKQiLo4XJV24EFixQoUGJ07kIIGFfixZwtF5A2AIhweAlBRexjwWcTp5yegZM4DVq6NoaPVq4LrrgEsvVc02CwV88QXQurVoKxRhGId/4AGOi8QqbjeQmcnv9Rs2RNAAEfDyy8DQoarbZhGEQ4eAatX4BBoAwzh83bq8Sq9sq++qSaVKwPz5PKO2eXOYP168mJ8y1appYptFAD76COjYUbQVijGMwwPAzTdzVDuWSUgA3n8fGD4c2LpV4Y+KioApU4DUVE1ts/DDJ59wNqNBMJTDd+oU28N6L1Wr8pN+0CBg504FP8jIADp35iGChX4cOwY4HEDlyqItUYyhHP6GG4CcHH5djXWqV+f5+f79OUEnIGfO8N2hVy/dbLMo4eOPgXbtRFsRFoZyeJsNuP564OefRVuiD5dcwg/vPn2AP/8MsNE77wD9+nGo30Jfli8H7r9ftBVhYSiHB2I/Wl+WK68Epk8HevTggHApjh3jFMR//1uEaeYmL4/zvS8ILEkuI4Zz+GbNIpy2MjDXXAO8/TbQvTtw5IjPH15+GRgyhFP2LPRl1SrgnntEWxE2hrtS4uKAq64CfvtNtCX6Ur8+8MorQLduwPHjAA4e5DD+nXeKNs2cLF1qqOk4L4ZzeICH9UuWiLZCf5KTgfHjga5dgcIxE7n8VfJyzJjk7Fng8GFDZjQa0uFbtQK+/FK0FWK45RZg7CO/4tuVR5F/fVPR5piTNWsCCovIjiEd3uUCLryQR7Vm5OZPxsE+dgy6d+eHjYXOGKT23R+GdHiAX59isWQ2JFu2ABUqoHnfeujZE3j00disIpSW4mJOjLjmGtGWRIRhHf6eezhQajrGjwdGjwbA8l8dOgCPPRbbNQZSsXEj8K9/ibYiYgzr8PHxXKB09KhoS3Tk66/5yXL55ee+6tyZS4dTU82RgSicxYsNU/vuD8M6PMBZjR9/LNoKnSACXngBeOaZcn969FGgYUNWxLWcXkOIeCq0YUPRlkSM5fBGYdky1ky78EK/f37iCZ4lKhntW2jBli08N2rgqVBDO3y1ahylPn1atCUaU1wMTJ7M5XNBGDKEi7eef14fs0yHgaSsAmFohweAe+8FPv1UtBUaM28eX2jx8SE3HT0a+Ocf4M03dbDLbHz3HYsyGBjDO3yHDjE+PZefz4J3ffsq2txmA158Edi9mzXyLFRi505WAjZ43YKxrQdw8cUcqS8oEG2JRrz3Hju7y6X4JzYbP+G/+4518ixUYMkSwybb+GJ4hweAO+6I0VTbEydYu7pz57B/6tW8//RTc5UTa8bXX/P8p8GJCYfv1ClGi2leew146qmIh5FxccCsWayRZ4QFOaXljz9YjSQGREZiwuFr1wb27eNgdszw118sXRulQKLTCcydyyIaX32lkm1mY+nSmBjOAzHi8ABw220xJowxaRLw7LOqzPl6Ne9ffRX45hsVbDMbn33GCxzGADHj8DElfbV3L5cCNmumWpNezfvx44HsbNWajX3+/ptVaStUEG2JKsSMw9evD2zfHiOppRqt/pqQwE4/bBiwbZvqzccmy5fz3G+MEDMOb7MBN97IMtaGZutW7kyDBpo0X60aO/3AgbyMvEUIVqwA2rYVbYVqxIzDAzGyUMX48Zqv7V6jBifv9evHbw8WAThxgoeMiYmiLVGNmHL4m24y+FJUGzZw6WutWprv6pJLgPR0oHdvYP9+zXdnTFauBO67T7QVqhJTDm+3A/XqATt2iLYkAoiA554DRozQbZe1agHTprHm/V9/6bZb47BsGauMxBAx5fCAgRVtV67kwowaNXTdbVISF+J162YyMZFQ5OcDJ0/qfj60JuYcvnlzYO1a0VaEiccDvPEGZ9UJoH59XtOia1d+bbUAr+gTI3PvvsScwzscwGWXAb//LtqSMJg/n9coS0gQZsINN/BsYNeuJtAXUEKMFMuUJeYcHuBhvWFKZs+eBWbOBB5/XLQluPVWYOhQHt7n54u2RiBFRZz4dMUVoi1RnZh0+DvuAL74QrQVCpk2jUXp3G7RlgAAWrZkuaxHHgEKC0VbI4i1a/lAxCAx6fAVKvDUabnVVmXj1CkeinTvLtqSUtxzD/Dww7zkfEwVJCnFwAtNhCImHR7gbMhly0RbEYI33uCUt7g40ZaUo0MHnoI2nea9x8MpiHXrirZEE2LW4e+9F/jkE9FWBOHwYS5da9dOtCUB6dqVqxDT0mKkRkEJ33/PC/jFKDHr8AkJnIhz/LhoSwLw/PPA8OHSSx737s3Tdk8/bRKnN/hCE6GIWYcHeEi6YoVoK/ywbx/PG7ZoIdoSRTz5JFCzJjB2rGhLNIaIq6+Sk0Vbohkx7fD33y/pe/yECYZbMWLo0POKuDHLtm3A9ddLP+qKhph2+OrVgbw84MwZ0Zb4sH07z703aiTakrAZMwY4coRTcWOSGFhoIhQx7fAATzF99ploK3zQofxVK7xP+J07WRwz5vjmG1VVhmQk5h2+Y0eJimm++46LMa6+WrQlEWOzAW+9xZW88+eLtkZFfv2VywclnCJVk5h3+Msu4wQc4VljRMDEicDIkYINiR67nRMEV6yQ6GYaLSYYzgMmcHgAaNWK1xEQymefcfT3oosEG6IOcXEsoDF/foys7ffVV3yhxDimcHjh0lceD2tEDxki0Aj1cTp52bv33gPWrBFtTRQcPMjLcIexnJdRcYg2QA/q1OFXNI9H0FqAH3zAC0pUqSJg59pSoQKQlQU8+CDX/xgy5hVDC02EwhRPeIBLPzduFLDjwkJg6lQuQYtRvJr3Y8caVDX40095OscEmMbhhS1UMXMml57FyEIGgUhM5DXshg0Dfv5ZtDVhcPQoD00qVRJtiS6YxuEbNQJ++knnfPC8PGDRIlaJNAHVqvGSVgMGALm5oq1RyMcfx5xQZTBM4/A2G9C4MTu9brz1FieiO0wRKgHAOfdz5rCAjyFkxpYvl7piUW1M4/CAztH6o0c5dN2xo047lIfLLuNMvF69gAMHRFsThFOnOMZStapoS3TDVA6va+DuxRf5hTaGCzGCcdVVHKt85BFej1FKPv2UhRNMhKkc3m4HrrlGh/fL/ftZNcUEiRzBqFOH32q6dQP++Ue0NX746KOYWihSCaZyeECnhSomTABGjdJ4J8agQQMe7EineV9QwHehiy8WbYmumM7hW7bUOCts505+N2zSRMOdGIsmTbhAsGtXnriQgi+/BFq3Fm2F7pjO4Z1OjiRrtoCigctftaRZM5bJ6taNH67CidGFJkJhOocH+DxrslDF5s2cPlunjgaNG5/bb+clqoVr3hcXs8xY7doCjRCDKR3+7ruBVas0aDhGyl+1pE0bHtr37i1Q837DBl6E0ISY0uErVuRMysOHVWx09WrguuuASy9VsdHYpFMnoG1bTs4RonkfwwtNhMKUDg9wNuXy5So1RgS89BIrPVooomtXfq8fOFDndGci1hWsX1/HncqDaR1eVQnrxYt5Qbtq1VRq0Bz06QNcey3nJ+nm9Dk5wI03mjYhyrQOX6UKDydPnoyyoaIiYMoUIDVVFbvMRloaa0+MG6fTDmN8oYlQmNbhAZWWo8rIADp3Nk15pRYMG8Y335df1mFn338P3HSTDjuSE1M7fIcOnF0ZMWfOsPJD796q2WRWxo1jsdF33tFwJzt2APXqmXY4D5jc4WvW5LXn8vMjbOCdd3hi2UTlr1phs/ETfvt2FsfUBJMo0wbD1A4PAHfdxTNqYXPsGPD558C//622SabFZuNVbdavZ/Uc1Vm3zrTz715M7/AdO0ZYI//yy6xCK0QVM3ax27msdvnyKF+3yvL771yob/LRmOmv1lq1OK++qCiMHx08yAsP3nWXZnaZGYeDh/Vz56qYEWnS3PmymN7hASAlhYeRirFSaDXH5QLmzeMZT1UWEVm9mnMlTI7l8AhT0Xb3bpavatpUU5sszmvev/RSlEpFhw6xrG6MKwcrwXJ48EzNL78ozOseN84qf9WR+Hie+RwzBtiyJcJGli0zpbagPyyHL6FpU65uDcqWLVx5U6+eHiZZlJCYyE4/ZAhP24XNypWm064LhOXwJZQd1nv8Pe7HjwdGj9bPKItzXHABD+/T0vitKhTnzt/x47zyZeXK2hpoECyHP0cOsrJ2oHHjZLhcLsTFxcHlciE5ORlpaWnYNX06K2BefrloQ02LV/P+scfKa97n5OQgLS0Nycmlz9/wRo0w79gx5BhyDSwNIJOTm5tLKSkpBIBstjcIqE8ASn0ccXG0EqB2zZpRbm6uaJNNz549RK1aER04UPr8ORyOcuduPkA14+IIAKWkpJj+/Jna4TMzM8ntdvtcKC0IGFnuomkP0PCSC8rtdlNWVpZo003Pzp1EDRocJJfrMr+ODoAqAvSR743bOn/mdfjMzEyy2WxlLhI7AZ+U+s4O0OcAVfL5zmazUWZmpugumJrMzEwCGhKwioCqfh2+A0BP+PnezOfPlA6/a9cucrvdfi8SYCoBV537d0+A+vvZzu12m354KIrS569JyU26crlzlA7QpX7PsXnPnymDdn379kVxQAXFxQA4BdMNoAeAGX62Ki4uRp8+fbQx0CIopc9fDoDxAOYDqHhuGweAmgACLW1n1vNnI9JVUUw42dnZuCmoAIITwBIA7TAQwCEAwQq3srOz0cRadEI3Ap+/VgDSAHQBcBZ3ArgBQChNDbOdP9M94TMyMuAIWjFVCOAoElAD9wFYEGRLh8OBdM2Kty38Efj8fQVgGoA5ABx4AHzbDoYZz5/pHH7dunUoClkatxSDcQVeA7/wBaKoqAjrw6q6sYiW4OfvUwALYMN0XA0gVH6OGc+f6Yb0LpcLhSGWPYlDRUzH9eiNTSHbczqdOHv2rFrmWYRAyfmrg3boiAN4GaGTbcx2/kzl8B6PB3Fxcaq3W1xcDLslhKE51vmLHnP0sgS73Q6n06lqm06n0zQXi2is8xc95ulpCfVVXnGkQYMGqrZnERzr/EWH6Ry+RYsWIaL0ynE4HGhuclFEvbHOX3SYzuF79eqlIEqvjKKiIvTq1UuVtiyUYZ2/6DCdwzdp0gQpKSlRPyUcDgdSUlJMlbQhA9b5iw5TRem97N69Gw0bNkRBQUHEbbjdbmzbtg1JSUkqWmahBOv8RY7pnvAAkJSUhPT0dNgiXHLIZrMhPT3ddBeLLFjnLwrE1e2Ip3w9fPCPVU8tF9b5Cx9TOzxRaMUU3+9btmxpypJKmbHOX3iY8h3eHzk5OUhPT8f69evx888/o7CwEE6nEw0aNEDz5s3Rq1cv0wV4jIR1/pRhObyFhYkwZdDOwsKsWA5vYWEiLIe3sDARlsNbWJgIy+EtLEyE5fAWFibCcngLCxNhObyFhYn4f6+G0FNZkVV6AAAAAElFTkSuQmCC\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.decoder.plot(metric='act')" - ] - }, - { - "cell_type": "markdown", - "id": "fe7e145c", - "metadata": {}, - "source": [ - "Case 3: MLP encoder, KAN decoder" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "id": "97fedb70", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "checkpoint directory created: ./model\n", - "saving model version 0.0\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "| train_loss: 3.29e-02 | test_loss: 7.09e-02 | reg: 4.95e+01 | : 100%|█| 100/100 [00:22<00:00, 4.43" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "saving model version 0.1\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "\n" - ] - } - ], - "source": [ - "enc_type = 'mlp' # 'kan' or 'mlp'\n", - "dec_type = 'kan' # 'kan' or 'mlp'\n", - "\n", - "model = AutoEncoder(width_enc=[4,5,2], width_dec=[2,5,4], seed=1, enc_type=enc_type, dec_type=dec_type)\n", - "model.fit(dataset, lamb=1e-3, steps=100);" - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "id": "028bdd48", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.decoder.plot(metric='act')" - ] - }, - { - "cell_type": "markdown", - "id": "687b4388", - "metadata": {}, - "source": [ - "Case 4: MLP encoder, MLP decoder" - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "id": "170a99ea", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "checkpoint directory created: ./model\n", - "saving model version 0.0\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "| train_loss: 2.62e-02 | test_loss: 3.64e-02 | reg: 3.19e+01 | : 100%|█| 100/100 [00:04<00:00, 21.95" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "saving model version 0.1\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "\n" - ] - } - ], - "source": [ - "enc_type = 'mlp' # 'kan' or 'mlp'\n", - "dec_type = 'mlp' # 'kan' or 'mlp'\n", - "\n", - "model = AutoEncoder(width_enc=[4,5,2], width_dec=[2,5,4], seed=1, enc_type=enc_type, dec_type=dec_type)\n", - "model.fit(dataset, lamb=1e-3, steps=100);" - ] - }, - { - "cell_type": "code", - "execution_count": 13, - "id": "66cbcede", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.decoder.plot(metric='act')" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.7" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/tutorials/Interp_1_Hello, MultKAN.ipynb b/tutorials/Interp_1_Hello, MultKAN.ipynb deleted file mode 100644 index 6315b1e6..00000000 --- a/tutorials/Interp_1_Hello, MultKAN.ipynb +++ /dev/null @@ -1,309 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "c982abca", - "metadata": {}, - "source": [ - "# Interpretation 1: Hello, MultKAN!" - ] - }, - { - "cell_type": "markdown", - "id": "30fde2f3", - "metadata": {}, - "source": [ - "Motivation: The original KAN has some level of interpretability, but sometimes not fully interpretable (fully interpretable = convert the network to a symbolic formula). The biggest limitation is the lack of multiplications operators. The original KAN only has addition operators. Although multiplication can be expressed as addition and single-variable functions (which is the core idea of Kolmogorov-Arnold representation theorem), we still hope to explicitly have multiplications in the KANs so that multiplications can be more easily read out from KANs. " - ] - }, - { - "cell_type": "markdown", - "id": "72377ee4", - "metadata": {}, - "source": [ - "We first show how multiplications can be represented by addition and single variable functions. Usually KAN would find solutions leveraging linear functions and quadractic functions (the solutions are not unique). $$xy=((x+y)^2-(x-y)^2)/4=((x+y)^2-x^2-y^2)/2=\\cdots$$" - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "id": "76538154", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 4.38e-02 | test loss: 4.59e-02 | reg: 5.74e+00 : 15%|▍ | 3/20 [00:02<00:13, 1.30it/s]\n" - ] - }, - { - "ename": "KeyboardInterrupt", - "evalue": "", - "output_type": "error", - "traceback": [ - "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", - "\u001b[0;31mKeyboardInterrupt\u001b[0m Traceback (most recent call last)", - "\u001b[0;32m/var/folders/6j/b6y80djd4nb5hl73rv3sv8y80000gn/T/ipykernel_42203/4110680146.py\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[1;32m 6\u001b[0m \u001b[0mf\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;32mlambda\u001b[0m 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to run the backward pass\n\u001b[0m\u001b[1;32m 267\u001b[0m \u001b[0mtensors\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 268\u001b[0m \u001b[0mgrad_tensors_\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", - "\u001b[0;31mKeyboardInterrupt\u001b[0m: " - ] - } - ], - "source": [ - "from kan import *\n", - "torch.set_default_dtype(torch.float64)\n", - "\n", - "model = KAN(width=[2,5,1])\n", - "\n", - "f = lambda x: x[:,0] * x[:,1]\n", - "dataset = create_dataset(f, n_var=2)\n", - "model.fit(dataset, steps=20, lamb=0.01);" - ] - }, - { - "cell_type": "code", - "execution_count": 13, - "id": "939224b9", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.plot()" - ] - }, - { - "cell_type": "markdown", - "id": "2ec84826", - "metadata": {}, - "source": [ - "This network seems to be using the equality $xy=((x+y)^2-(x-y)^2)/4$ but not exactly." - ] - }, - { - "cell_type": "markdown", - "id": "b33ecf62", - "metadata": {}, - "source": [ - "Now we want to explicitly introduce multiplication operators, called MultKAN. Note that MultKAN and KAN are actually the same class in implementation, so you can use either class name. If you dig into MultKAN.py, there is a line 'KAN = MultKAN'. KAN is just a special case of MultKAN. To inlcude multiplications, you only need to modify the width parameter. For example, [2,5,1] KAN means 2 inputs, 5 hidden add neurons, and 1 output; [2,[5,2],1] MultKAN means 2 inputs, 5 hidden add neurons and 2 hidden mult neurons, and 1 output." - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "id": "d8f94f0f", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model = KAN(width=[2,[5,2],1], base_fun='identity', auto_save=True)\n", - "model.get_act(dataset)\n", - "model.plot()" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "id": "4b39ad0c", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 1.41e-02 | test loss: 1.44e-02 | reg: 5.34e+00 : 100%|██| 20/20 [00:17<00:00, 1.17it/s]\n" - ] - } - ], - "source": [ - "model.fit(dataset, steps=20, lamb=0.01, lamb_coef=1.0);" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "id": "4c0314b5", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.plot()" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "id": "2af1c553", - "metadata": {}, - "outputs": [], - "source": [ - "model = model.prune()" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "id": "aac1fb1c", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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BkiVLoFQq5R7nmQkhsGLFCuj1epQuXVrucYheiCSEEHIPQWQJQgiUlG9nSZIgSZLcYxA9N8aFiIgsjjv0iYjI4rjPhegpPb6Rz4+siP4Zt1yIntKpU6egVCpx6tQpuUchsnqMCxERWRzjQkREFse4EBGRxTEuRERkcYwLERFZHONCREQWx7gQEZHFMS5ERGRxjAsREVkc40JERBbHuBARkcUxLkREZHGMCxERWRzjQvQvTCYT0tPTcf36dQghkJKSgqysLLnHIrJqvBMl0d/IycnBDz/8gA0bNuD48eNITU1FZmYmSpcujapVq6Jjx44YPHgwatWqxfu7EP0J40L0FxITEzF58mTs2rULPj4+aNeuHRo2bAg3NzekpaXhxIkTOHDgAPLz8zFhwgR88MEHcHJykntsIqvBO1ES/clvv/2GAQMG4MaNG5g6dSqGDx8OLy8vSJIESZIghIAQAtevX8eiRYvw+eef4+rVq1i4cCEDQ/QQ40L0mLS0NLz//vtITk7GunXr0LRpU9y8eRPe3t5PfPSVl5eH48ePY9q0aahduzYmT54MHx8ffPLJJ1AouCuTiGsB0WPCw8Nx4sQJfPbZZ2jSpAkCAwPRo0cPfP/99+YtltzcXMycORMajQYTJkxAnz59MG7cOISFheH06dNyLwKRVeA+F6KHUlNT0bJlS1SuXBnffPMNPvzwQ0RERAAAKlSogIiICLRp0wazZs3C/PnzkZ+fD6VSidDQUPTt2xevv/462rZti+XLl3MHP9k8brkQPXT8+HHcuHEDarUabm5uGDlyJPz8/AAAKSkpCAwMxNChQ81hkSQJffr0wYABA+Dp6YlevXph3759yMjIkHdBiKwA40L00KlTp2Bvb4+mTZtCkiQ0a9YMkZGR8PX1BVAQmE2bNpnD0rdvXyxfvhxlypSBJElo1aoVUlNTkZSUJPOSEMmPcSF6KDU1FaVKlULZsmUBwByYdevWwd3d/YnnvvbaawgPDzeHBQC8vLxgMpm45UIExoXIzMHBASaTCfn5+QBg3nkfExODzMzMJ54bFxeHEydOPPFneXl5EELAzs6uyGYmslaMC9FDfn5+yMrKwtWrV584Kmz+/PkwGAyQJMl8HsutW7cQGBj4xFFkly9fRqlSpeDt7S3zkhDJj3Ehm3f37l2sXLkSK1euRF5eHr777jvk5+dj9uzZT+y879u3L7Zt2/bEPpjAwEDs378fBoMBO3fuhL29vfkaZES2jHEhm5Sbm4tt27ahV69eKF++PEaPHg1PT0/4+/tj48aNSEhIgF6vhxDCHJbw8HB06NABUVFR5qPI7t69i7i4OBw7dgx79+5FdnY22rZtixo1auDTTz9FQkKCzEtKJBNBZCNMJpM4fPiwGDFihChTpowAIBo2bCgWLlwoUlJShBBC7Nu3T7i6uop33nlHJCcni6CgIDFw4ECRlpYmTCaT+ev8+uuvok6dOmLevHni6tWrokWLFqJx48bizp07Yt++fWLw4MHCxcVFABAtW7YUy5YtE3/88Yeci09UpBgXKvEuXbokPvnkE1G1alUBQFSqVElMmTJFnD9//n+eazAYxMyZM4W9vb3o37+/SEhIEJmZmeawPGIymURSUpI4d+6ceOONN4SHh4f4+eefn3hOVlaWiIqKEl26dBFKpVLY2dmJt99+W3z11VdCr9cX6jITyY1n6FOJlJqais2bN0Or1eL48eNwc3ND3759odFo0KZNm3+8/ldubi7mzJmDOXPmoEqVKhgzZgw6d+6M8uXLw87ODnl5ebh+/Tq++eYbrFixAkajEVqtFm+++ebffs3bt2+b5zlx4gRKly6Nvn37Qq1W/+s8RMUR40IlRnZ2Nr799lvodDrExMRAkiR06dIFarUa3bp1g6Oj41N/LaPRiJiYGMyePRsnT56Es7MzfHx84OzsjHv37iElJQUGgwG9evXCjBkzUK1ataf+2pcuXYJOp4NOp8O1a9dQuXJlBAQEQKPRoFatWs+z6ERWh3GhYs1oNOLQoUPQarWIjo7GgwcP0KJFC2g0GvTr1w/lypV7oa+fnZ2NEydO4Mcff8SFCxfw4MEDeHl5oVmzZmjXrh2qVasGpVL5XF/bZDLhyJEj0Gq12LJlCzIyMtCoUSNoNBr0798f5cuXf6HZieTEuFCxdO7cOeh0OkRGRiIpKQl+fn5Qq9VQq9XPtBXxrMTDo8csLTc3F7t27YJOp8POnTthNBrRsWNHqNVq9OzZE87Ozhb/O4kKE+NCxUZycjKioqKg0+lw5swZlC1bFv3794darUaLFi1KzJWI09PT8dVXX0Gr1eLnn3+Gs7MzevXqBY1GgzfeeOO5t5SIihLjQlbtwYMH2LZtG7RaLfbv3w97e3t0794dGo0Gb731Fuzt7eUesVAlJiYiMjISWq0W8fHxqFChAgYOHAi1Wo369euXmKBSycO4kNUxGAz4/vvvodPpsG3bNuj1erRt2xZqtRp9+vT5n4tI2gIhBI4fPw6dToeNGzfijz/+gL+/P9RqNQICAlCxYkW5RyR6AuNCVkEIgdjYWPObZ2pqKmrVqgWNRoOBAweiSpUqco9oNfLz87F3715otVps374dubm5eP3116HRaNC7d2+4ubnJPSIR40Lyunr1KiIjI6HT6XDp0iV4e3tjwIAB0Gg0aNiwIT/2+Rf3799HdHQ0dDodDhw4AAcHB7z99tvQaDTo1KkTr9BMsmFcqMjdvXsXW7duhVarxeHDh+Hk5IR33nkHarUa7du3h0qlknvEYunGjRvYuHEjtFotzp8/j3LlypkPeGjWrBlDTUWKcaEikZeXh927d0On02HHjh0wGAx48803odFo8M4778DFxUXuEUsMIQTOnj0LrVaLqKgopKSkoHr16uZDtR9d1ZmoMDEuVGiEEDh69Kj5JMH09HQ0aNAAarUaAwYMgI+Pj9wjlnhGoxE//PADdDodoqOjkZWVhVatWkGtVqNfv37mu24SWRrjQhYXHx9vvrxJYmIiKlasiICAAKjVavj7+8s9ns3KysrC9u3bodVqsXfvXiiVSnTt2hUajQZdu3aFg4OD3CNSCcK4kEXcuXMHmzdvhk6nw6+//gpXV1f06dMHGo0Gbdu25YUZrcytW7ewadMm6HQ6xMbGwt3dHf369YNarUarVq3470UvjHGh56bX67Fjxw5otVrExMQAAN566y2o1Wq8/fbbz3ShSJLPxYsXzVua169fx8svv2ze0nzllVfkHo+KKcaFnonJZMKhQ4eg0+mwdetW3L9/H82bN4darca7774LT09PuUek52QymfDTTz9Bq9Xiq6++wr1799CkSRPzPjIvLy+5R6RihHGhp3LhwgVotVpERkbi5s2b8PX1NZ8dXqNGDbnHIwvLycnBrl27oNVqsXv3bphMJnTs2BEajQY9evSAk5OT3COSlWNc6G+lpKSYz5s4ffo0ypQpg3fffRcajQYtW7bkeRM2Ii0tDVu2bIFWq8XRo0fh4uKC3r17Q61Wo127dryQJv0lxoWekJmZiW3btkGn02Hfvn1QqVTo3r071Go1OnfuzCOKbNyVK1fMF9JMSEiAj48PBg4cCI1Gg3r16sk9HlkRxoVgMBiwf/9+aLVabNu2DdnZ2WjTpg00Gg369OmDMmXKyD0iWRkhBI4dOwatVotNmzYhLS0NdevWNV8L7qWXXpJ7RJIZ42LlMjMzkZycjPT0dNjZ2cHLywve3t4vfKl5IQROnTplvlDkrVu3ULNmTWg0GgQEBODll1+2zAJQiZeXl4c9e/ZAp9Nh+/btyMvLwxtvvAG1Wo3evXvD1dX1hf+O/Px8pKam4vbt28jLy4OrqysqVKgAd3d3HjZtpRgXK5WYmIg1a9bg22+/xY0bN2AwGAAATk5OqFu3LgYPHoxevXo984p77do18w23fvvtN3h5eWHAgAFQq9Vo3Lgx96PQC7l37x6io6Oh1Wpx8OBBODo6okePHtBoNOjQocMzX0gzIyMD0dHRiIyMxIULF5CZmQkAUCqV8PDwQJs2bTBs2DC0atWK16SzMoyLlTEajdi4cSOmTp0KvV6Pzp07o0OHDqhcuTJMJhMSEhLw3Xff4cCBA2jUqBGWLFmC2rVr/+PXfLSCarVaHDp0CI6OjujZsyc0Gg3at2/PK+dSobh+/TqioqKg1Wrx22+/wdPT0/yDTJMmTf71B5mjR48iKCgIZ8+eRdOmTdG1a1fUq1cPLi4uyMjIQGxsLHbs2IGEhAS8++67mD17Ng+FtyaCrIbRaBTLli0Tzs7OonPnzuLMmTPCYDCII0eOiNDQUBEaGiouXrwo8vLyxKFDh0STJk1EzZo1xblz5/7na+Xm5ort27eLvn37CgcHByFJkmjfvr2IiIgQ9+/fl2HpyFaZTCZx8uRJMWHCBFG+fHkBQNSsWVPMmjVLJCYm/uVr9uzZIypUqCCqV68utm7dKrKzs0VGRoZYsWKFCA0NFevWrRN6vV7cv39frFq1Svj4+IgOHTqIW7duFfHS0d9hXKzIgQMHhLu7u+jTp49IT08XJpNJCCHEJ598IgAIAEKr1QohClbYa9euiVdffVW0bt1a3L17V5hMJnH06FExevRo4eHhIQCIevXqiS+++ELcvHlTzkUjEkIIkZ+fL/bs2SPUarVwcnISAETr1q3FypUrRXp6uhBCiLi4OFG1alXh7+8vzp8/b14Prly5IkqXLi0AiKpVq5qfbzKZxI8//igqVqwo1Gq1yMnJkW356P8xLlYiOztbtGvXTtSsWVPcuHHDvEIJ8ddxEaJgpYqNjRVeXl6ic+fOolq1agKA8PHxEZMmTRJnzpyRY1GInsqDBw+EVqsVnTp1EgqFQtjb24t33nlHtGvXTri7u4uDBw8+sR78XVyEKFgXoqKihKurq/jmm2/kWBz6Ex5mYSViY2Pxyy+/YPTo0XjppZeease6JElo0KAB+vTpgz179qBFixbYt28frl+/jnnz5vG8A7JqLi4uUKvViImJwc2bNzFnzhxcunQJBw4cQK9evdC6deunPsBEkiT07NkTLVq0wOrVq80HwJB8eHiFlTh48CAcHBzQvn17XLx48YmV4/bt2+b/vn79Os6ePWv+vbu7O3r16oWoqChMmTLlX3fuE1mjChUqICgoCO7u7hg5ciR69+6Nq1evIisry/ycmzdvwmg0Aig4/PnChQtwc3MzP+7j44NevXohJCQEt27dQsWKFYt8Oej/MS5WIi4uDl5eXrCzs0P79u2Rmppqfuzx0ISEhGDWrFnm3w8YMADTp0+HSqXC9evXGRcq1i5dugQnJyf4+vpixIgR+Pnnn82PCSGQm5sLAEhOTkaHDh3Mj0mShAULFqBu3brIzs5GcnIy4yIzxsUKCCGQk5MDBwcHKJVK5OTkICcn5y+fm5+fj/z8fPPv8/LyYG9vb34dUXGm1+uhUqng4OCA3Nzcv/2efrTOPM5gMMDR0fGJCJF8GBcrIEkSypUrh2PHjsFoNKJdu3bIyMgwPx4fH4/ExEQAQN26dZ+4PXC9evWQkZGB3Nxc3rKWij0vLy/o9XpkZGSgefPmcHZ2Nj+m1+tx5MgRc0ReffVV84mTkiShcuXKSE1NhUKh4CWLrADjYiUaN26M9evX49atW4iMjHzisenTp+Pzzz8HAEycOBEBAQHmxyRJglarRalSpeDn51ekMxNZWuPGjZGfn49jx45h7ty5TzyWmJiIpk2b4t69e/D29sbmzZvh7u5uflySJEydOhXly5fnR2JWgEeLWYHU1FT8+uuv0Ov1WL9+PYQQUCqV5l+PXztJoVA88VhOTg42bNiA1q1bo3z58jIuBdGLa9asGXx9fbF+/XpkZWU98b3++KX9JUl6Yl1QKBRISUnBV199hVq1aj2xo5/kwbjI6I8//sDHH38MX19fbN68GS1atMCWLVuwZ88eiKe4Ko/JZEJERAROnTqFcePG8b4aVOx5eHhg7NixOHnyJMLCwp76kOLc3FzMnDkTN2/exPbt2/Hqq68iJibmqdYjKhyMiwzS0tIQHBwMX19fLF++HEFBQbh69Sq2bduGV155BaNGjcIPP/wAk8kEoGBrRaVSwc7ODpIkQQgBg8GAqKgozJgxA6NGjUKrVq1kXioiywgMDESPHj0wd+5chIWFQa/XmyOhUqmgUqnMP0gJIXD//n3MmDEDmzdvRnh4OL7//nsolUp06dIFrVu3xvfff8/IyEGmkzdtUnp6upg2bZpwc3MTLi4uYsqUKeLOnTtPPOfChQuiUaNGomzZsiI4OFgkJCSIy5cvi4MHD4qDBw+Ka9euibNnz4qRI0eK0qVLizFjxoisrCyZloiocKSmpoq+ffsKR0dH0bNnT3Ho0CGRmpoqDh8+LA4dOiSOHj0q7ty5I3bt2iXatWsnypQpI5YsWSIMBoMQouCM/ZiYGNG8eXMhSZJo06aN+OGHH2ReKtvCqyIXgYyMDISGhmLRokXIz8/H2LFjMXHixL+9gmtSUhJmzZqFzZs3Q6VSoXbt2qhUqRKMRiOuXr2KuLg4eHh44KOPPoJGo+HdIalEysrKwurVqxEWFobbt2/D19cX1atXh6urK+7evYu4uDgkJyejcePGmDFjBtq2bfs/93YRQuC7777DjBkzEBsbi7Zt2yIkJARt27aVaalsB+NSiO7fv2+OSk5ODkaPHo1JkybB29v7X19rNBpx8eJF7Nq1C8eOHUNqairs7OxQtWpVtGvXDh07doSXl1cRLAWRvG7duoX9+/fj0KFDSExMRE5ODsqUKQN/f3907NgRzZs3h5OT0z9+DSEEdu7ciZCQEJw6dQpvvPEGQkJC0Lp16yJaCtvDuBSCBw8eYMmSJViwYAGys7MxcuRITJ48GRUqVHiuryeEgNFohCRJ3GlPNs1oNEIIAYVC8Vx3oBRCYPv27QgJCcHZs2fRoUMHhISEoGXLloUwrW3jDn0LyszMxNy5c+Hr64uZM2ciICAACQkJWLRo0XOHBSg47PLxnZhEtkqpVEKlUj33rY0fXeDy5MmT+Oqrr5CcnIxWrVqhS5cuOHbsmIWntW2MiwVkZ2dj/vz58PX1xfTp09G3b1/Ex8cjLCwML730ktzjEdGfKBQK9O7dG2fOnMGmTZtw7do1tGjRAt27d0dsbKzc45UIjMsL0Ov1WLRoEXx9fTF16lS88847uHz5MpYvX45KlSrJPR4R/QuFQoF+/frh7NmziIyMREJCApo2bYqePXvi1KlTco9XrDEuzyEnJwdhYWHw8/PD5MmT0a1bN8TFxWHlypWoUqWK3OMR0TNSKpUYMGAAzp8/jw0bNuC3335D48aN0bt37yducUFPj3F5Brm5uVi2bBmqVauGCRMmoFOnTrh06RLWrFmDqlWryj0eEb0gpVIJtVqN3377DevWrcOZM2fQoEED9OvXD+fPn5d7vGKFcXkKeXl5WLFiBapXr47x48fjjTfeMH/z8WKRRCWPSqXC4MGDcfHiRaxZswYnTpxA/fr1MWDAAFy8eFHu8YoFxuUf5OfnY/Xq1ahRowbGjBmD1157zbzZXKNGDbnHI6JCZmdnh6FDh+LSpUtYsWIFjh49Cn9/f6jVasTFxck9nlVjXP5Cfn4+vvzyS7zyyisYOXIkWrZsiXPnzkGn0+GVV16RezwiKmL29vYYPnw4Ll++jGXLluHHH39EnTp1MHjwYMTHx8s9nlViXB5jMBiwfv161K5dG++99x4aN26MM2fOYOPGjbx9MBHB3t4eI0eORHx8PEJDQ7F//37Url0bQ4cONd/QjwowLig461en06FOnToYMmQI6tWrh1OnTmHLli3w9/eXezwisjIODg4YM2YMEhISsGDBAsTExKBmzZoYPnw4rl69Kvd4VsGm42I0GrFx40bUrVsXgwYNQq1atRAbG4vo6GjUr19f7vGIyMqVKlUKH3zwAa5cuYJ58+Zhx44dqFGjBkaOHInr16/LPZ6sbDIuJpMJW7ZsQf369REQEAA/Pz8cO3YM33zzDRo2bCj3eERUzDg6OiIoKAhXrlzB559/jq+//hrVq1fHmDFjcPPmTbnHk4VNxcVkMiE6OhoNGjRA//79UblyZRw9ehQ7duxAkyZN5B6PiIo5Z2dnTJw4EYmJiZg5cyY2b96MatWq4YMPPkBycrLc4xUpm4iLEALffPMNGjVqhL59+6JChQr4+eefsXv3bjRv3lzu8YiohHFxccFHH32E33//HdOnT0dkZCT8/PwQFBSElJQUuccrEjZxyf2dO3fi7bff5j0ciEgW9+7dQ1hYGBYuXIhq1arh+PHjco9U6GwiLo8WUZIkmSchIltmS+9FNhEXIiIqWiq5BwAKah4fH4+0tDS5R3khCoUC/v7+cHZ2lnsUInoOfC+yHKvYcjGZTBgzZgwqVaoEo9EIhUIBV1dXucd6ZocPH8a0adNQr149uUchoufw+HuRi4uL3OM8s5SUFHh5eeHIkSOyvxdZxZYLUHDGa8eOHTFjxgyULVsWy5Ytg6ura7H5bFIIgczMTFhBq4noBTg4OGDYsGHw9vaWe5SnJoTAgQMHsGLFCowfPx716tWT/b3IauICALGxsTh8+DD0ej0cHR2xcOFCODs7F5vAEBEVNSEE9u/fj6FDhyIpKQlRUVFo0aKF3GNZ13ku3bp1w6effgo7OztEREQgODgYer1e7rGIiKySEAL79u3DkCFDkJSUhCZNmmD16tUoXbq03KNZV1xUKhXGjBmDqVOnQqlUYsWKFQgJCUFOTo7coxERWRUhBPbu3YshQ4YgOTkZTZo0gU6nQ/Xq1eUeDYCVxQUouKT1pEmTMHHiREiShNDQUMycOZOBISJ6SAiBmJgYDB06FCkpKWjWrBkiIyNRrVo1uUczs7q4AAU71IKDgzF+/HgAwMKFCzF79mwGhohsnslkwq5duzBs2DDcunULLVq0gE6ng5+fn1Xtn7bKuAAFl7IOCQnBuHHjIITA/Pnz8dlnnzEwRGSzTCYTdu7ciffeew+3b9/Gq6++Cq1WC19fX6sKC2DFcQEKAjNr1iyMHTsWQgh88cUXmDVrFgNDRDbHZDLhm2++wfDhw3Hnzh20adMGWq0WVatWtbqwAFYeF0mS/icwCxYswKeffsqjyIjIZjy6XciIESPwxx9/oG3bttiwYQOqVKlilWEBrDwuQEFgHB0dMXv2bIwfPx5CCCxcuBDTpk1Ddna27CcKEREVJqPRiC1btmDUqFFIT0/Hm2++iQ0bNqBSpUpWGxagGMQF+P/AfPrpp/jPf/4DSZKwZMkSTJkyBVlZWQwMEZVIj27FPnr0aNy9excdO3ZEREQEXnrpJasOC1BM4vKIo6Mjpk+fjkmTJkGhUCA8PByTJk3iZVeIqMQxGo3QarUYN24c7t+/j86dO2PdunWoUKGC1YcFKGZxAQp28n/yyScIDg6GSqXCmjVr8OGHH+L+/fsMDBGVCAaDAWvXrsX48ePx4MEDdO/eHV9++SW8vb2LRViAYhgXoOA8mMmTJyMkJAT29vbYsGEDxo4di4yMDAaGiIo1g8GAlStXYuLEicjKysI777yDVatWwdPTs9iEBSimcQEKzuQPCgrCZ599hlKlSmHjxo0YOXIk0tPTGRgiKpby8/OxdOlSfPzxx8jOzkafPn2wYsUKlCtXrliFBSjGcQEAOzs7jB07FnPnzoWTkxOio6PNx4AzMERUnOTl5WHx4sUIDg5GTk4OBg4ciPDwcJQtW7bYhQUo5nEBCi52+f7772PRokVwcXHBt99+a74sAgNDRMVBbm4uvvjiC8yYMQN5eXkYNGgQlixZAnd392IZFqAExAUoCExgYCCWLFkCNzc37N69G4GBgUhKSmJgiMiq5ebm4r///S9mz54Ng8GAYcOGYfHixXBzcyu2YQFKSFwAQKlUIiAgwLwZuW/fPgwaNAjXr19nYIjIKun1enz66aeYM2cOjEYjRowYgfnz58PFxaVYhwUoQXEBAIVCgb59+2LlypUoV64cDh06BLVajcTERAaGiKyGEALZ2dmYPn06FixYACEExo0bh7lz55aYu++WqLgABYHp2bMn1qxZA29vbxw5cgQBAQGIj49nYIhIdo/CMmXKFISFhUGSJAQFBWH27NlwdHQsEWEBSmBcgILAdOvWDevWrYOPjw+OHz+OAQMG4OLFiwwMEclGCIHMzExMnDgR4eHhUCgU5nP2SlJYgBIaF6DgemQdO3bE+vXrUalSJZw+fRoDBw7EuXPnGBgiKnJCCNy/fx9BQUFYs2YNVCoVgoODERwcjFKlSsk9nsWV2LgABYFp164dtFotXn75ZZw7dw4DBgzAyZMnGRgiKjJCCGRkZGDcuHFYv3497O3tERISgsmTJ8PBwUHu8QpFiY4LUBCY1q1bIzIyEn5+frh06RIGDhyIY8eOMTBEVOiEEEhPT8fo0aMRFRUFBwcHfPbZZwgKCoK9vb3c4xWaEh8XoCAwzZs3R1RUFGrWrImEhAQEBATgyJEjDAwRFRohBNLS0jBy5Eh89dVXcHJywty5czF27FjY2dnJPV6hsom4AAWBady4MTZu3Ah/f3/8/vvvUKvVOHjwIANDRBYnhMCdO3cwfPhwbNu2Dc7Ozpg/fz5GjBgBlUol93iFzmbiAhQEpl69eoiKikKDBg1w/fp1DBo0CHv37mVgiMhihBC4ffs2hg0bhh07dsDV1RWLFy/GsGHDbCIsgI3FBSgITO3atREVFYUmTZogOTkZgYGB2LlzJ0wmk9zjEVExJ4RASkoKhgwZgt27d8PNzQ1hYWEYNGgQlEql3OMVGZuLC1AQmBo1aiAqKgqtWrVCamoqhg0bhujoaAaGiJ6bEAJJSUkIDAzE3r17UaZMGSxfvhwBAQE2FRbARuMCFATG19cXOp0O7dq1M+90i4yMhNFolHs8IipmhBC4ceMGBg8ejP3796Ns2bIIDw9Hv379oFDY3lut7S3xYyRJQqVKlbBhwwZ06tQJ9+7dw7hx4/Dll1/CYDDIPR4RFRNCCPM+3IMHD8LDwwMrV65E7969bTIsgI3HBSgITIUKFRAREYEePXogMzMTEyZMwPLly5Gfny/3eERk5YQQuHbtGgYNGoTDhw/D09MTq1evRs+ePW02LADjAqAgMJ6enli1ahX69euHnJwcTJkyBQsXLkReXp7c4xGRlRJC4Pfff4dGo8FPP/0ELy8vrF69Gt27d7fpsACMi5kkSShbtiyWL1+OQYMGIS8vD59++ik+//xz5OTkyD0eEVkZIQQSExOh0Whw5MgReHt7Y82aNejatavNhwVgXJ4gSRJKly6NxYsX4/3334fBYMCcOXMQEhICvV7Pc2GICEBBWK5cuQK1Wo1ffvkF5cuXx9q1a9GlSxeG5SH+X/gTSZLg4uKCefPmYdy4cRBCYNGiRQgODkZ2djYDQ2TjHoVFo9Hg2LFjqFChAr788ku89dZbJeqS+S+KcfkLkiTByckJs2fPxqRJkyBJEpYuXYrJkycjKyuLgSGyUUII87UJjx07Bh8fH6xbtw4dO3ZkWP6EcfkbkiTB0dER06ZNw5QpU6BUKrF69WpMnDgRmZmZDAyRjRFCID4+Hmq1GidOnDCHpX379gzLX2Bc/oWDgwOmTJmCadOmQaVSYe3atQwMkY35u7C8+eabDMvfsI0rqL0ge3t7TJw4EUqlEjNnzsSXX34JIQQWLFgAFxcXfnMRlWBCCFy+fBlqtRonT57ESy+9hIiICLRr147r/j9gXJ6Svb09JkyYAEmSEBISgnXr1kGpVOKLL76As7Oz3OMRUSEQQiAuLg5qtRqnTp1CxYoVsW7dOoblKTAuz8DOzg5BQUEwmUyYOXMm1q5dC5VKhblz58LR0VHu8YjIgv4qLBEREXj99dcZlqfAfS7PyM7ODhMmTEBwcDCUSiVWrlyJGTNmIDc3V+7RiMhChBC4dOkSAgICcOrUKVSqVAnr169nWJ4Bt1yew6N9MHl5eZg7dy6WLFkCJycnnjxFVELExcUhKCgIZ86cMYfltddeY1ieAd8Nn9Ojo8genWh58uRJ6PV6ucciIgu4du0abty4Yb5qOsPy7Kxmy0UIgbt378LOzk7uUZ7J+PHj4enpie7du2Pjxo1yj0NEL0gIgaZNm2Lx4sUoXbo06tSpg7t378o91jOxhushWkVcJElClSpVsGTJkmJ5tzYhBMLDw6HX61G6dGm5xyGi5/TovWjp0qXmj7n37t0r81TPzhreiyRhBWcCCiFKzAmJkiRx85momOJ7kQX/fmuICxERlSw2sUO/JP00QkTFly29F1nFPpeiYDKZAAAKhYIfWxFRkXoUlUdhKY77lp+VTWy5AMDOnTvRpEkTKJVKdOzYEUeOHJF7JCIq4R48eIDPPvsM5cqVg7OzMyZNmoQ7d+7IPVaRsIm4SJKEHj16IDY2Flu3bsWtW7fQunVrdO7cGb/++qvc4xFRCZOZmYk5c+agatWqmDVrFtRqNa5cuYKFCxeifPnyco9XJGwiLo8oFAr06tULp0+fxubNm3Hjxg20bNkS3bp1w4kTJ+Qej4iKuaysLHzxxRfw9fXFjBkz0L9/fyQkJCA0NBQ+Pj5yj1ekbCoujygUCvTt2xdnzpxBVFQUEhMT0axZM/To0QMnT56UezwiKmays7OxcOFC+Pn5ITg4GL1790Z8fDyWLl2KihUryj2eLGwyLo8olUr0798f586dg1arRVxcHJo0aYJevXrhzJkzco9HRFZOr9cjNDQU1apVw0cffYS3334bly9fRnh4OCpXriz3eLKy6bg8olQqERAQgPPnzyMiIgLnzp1Dw4YN0bdvX5w7d07u8YjIyuTk5GDp0qWoVq0aJk6ciM6dOyMuLg6rVq3Cyy+/LPd4VoFxeYxKpcKgQYNw8eJFrF27FidPnkT9+vXRv39//Pbbb3KPR0Qyy83NRXh4OGrUqIEPP/wQHTp0ML9f+Pr6yj2eVWFc/oJKpcKQIUNw6dIlrFq1Cr/++ivq1q2LgIAAXLp0Se7xiKiI5eXlYdWqVahRowbGjh2Ltm3b4sKFC4iIiEC1atXkHs8qMS7/wM7ODu+99x7i4uKwfPly/PTTT/D394dGo8Hly5flHo+ICll+fj7Wrl2LmjVrYtSoUWjVqhXOnz8PrVaLmjVryj2eVWNcnoK9vT1GjBiBy5cvIywsDAcOHEDt2rURGBiIhIQEuccjIgszGAyIiIhArVq1MHz4cDRr1gxnz55FVFQUatWqJfd4xQLj8gwcHBwwevRoJCQkYNGiRdi7dy9q1aqFYcOGITExUe7xiOgFGQwGaLVa1K5dG0OHDkWDBg3M58XVqVNH7vGKFcblOZQqVQrjxo3DlStX8MUXX2D37t145ZVX8P777+PatWtyj0dEz8hoNCIqKgr+/v4YPHgw6tSpg5MnT2Lr1q2oV6+e3OMVS4zLC3B0dMSHH36IK1eu4L///S+2b9+OGjVqYNSoUbhx44bc4xHRvzCZTNi8eTPq1asHtVqNGjVq4Pjx49i2bRsaNGgg93jFGuNiAU5OTvjPf/6DxMREzJo1C1u3bkX16tUxbtw4JCUlyT0eEf2JyWTC1q1bUb9+fQwYMAAvv/wyfvnlF3z77bdo3Lix3OOVCIyLBTk7O2Py5MlITEzEjBkzEBUVhWrVquHDDz9ESkqK3OMR2TwhBLZt24ZGjRqhX79+eOmll/Dzzz9j165daNasmdzjlSiMSyFwdXXFlClT8PvvvyM4OBgbNmyAn58f/vOf/+D27dtyj0dkc4QQ5q2S3r17w9PTE4cPH0ZMTAxatmwp93glEm9zXAQyMjIQGhqKxYsXIy8vD2PGjMHEiRPh5eX1VK8XQiAtLQ2ZmZlwcXGBh4cHb3hGNud51gMhBHbv3o2QkBDExsbi9ddfR0hICF577bUimtqGCSoy6enpYvr06cLNzU04OzuLjz/+WNy5c+dvn3/37l2xePFi4efnJwCYf/n5+YnFixeLu3fvFt3wRDJ5nvXAZDKJ7777TjRv3lxIkiRee+018cMPPxT98DaMcZFBWlqaCA4OFq6ursLV1VUEBweLtLS0J54TExMjnJ2dhSRJQpKkJ1aqR3/m7OwsYmJiZFoKosL3rOuByWQSe/fuFS1bthSSJIlWrVqJ77//XphMJpmXxPYwLjK6c+eO+Pjjj4Wzs7Nwc3MT06dPF+np6SImJkYolUqhUCieWJn+/EuhUAilUsnAUIn0LOuBQqEQc+bMEa1btxaSJIkWLVqImJgYRkVG3OdiBVJTUzF//nwsW7YMdnZ2yM7OhsFgwNP80ygUCjg6OuLmzZtwd3cv/GGJikBGRgYqVqwIvV4Pk8n01K9r1KgRZs2ahc6dO3O/pMx4tJgV8PLywrx583DlyhU0bNgQ+fn5TxUWoOB4/ezsbGzYsKGQpyQqOuvXr0d2dvYzhQUABg0ahC5dujAsVoBbLlZECIHq1avjypUrz/Q6SZLg6+uL+Ph4rlRU7D1aDxITE5/6hyyA64G1YVysyB9//AFPT88Xer2Hh4cFJyIqelwPSgZ+LGZFMjMzX+j1Dx48sNAkRPLhelAyMC5WxMXF5YVe7+rqaqFJiOTD9aBkYFysiIeHB/z8/J7582JJkuDn54eyZcsW0mRERYfrQcnAuFgRSZIwbty453rtBx98wJ2YVCJwPSgZuEPfyjzr8f08z4VKIq4HxR+3XKyMu7s7oqOjIUkSFIp//udRKBSQJAlff/01VygqUbgeFH+MixXq1KkTdu3aBUdHR0iS9D+b+Y/+zNHREbt370bHjh1lmpSo8HA9KN4YFyvVqVMn3Lx5E4sXL4avr+8Tj/n6+mLx4sVISkriCkUlGteD4ov7XIoBIQTS09Px4MEDuLq6omzZstxpSTaH60HxwrgQEZHF8WMxIiKyOMaFiIgsjnEhIiKLY1yIiMjiGBciIrI4xoWIiCyOcSEiIotjXIiIyOIYFyIisjjGhYiILI5xISIii2NciIjI4hgXIiKyOMaFiIgs7v8AlbkuWWjiHYQAAAA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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.plot()" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "id": "97851f1f", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 1.28e-08 | test loss: 1.31e-08 | reg: 5.26e+00 : 100%|██| 20/20 [00:04<00:00, 4.40it/s]\n" - ] - } - ], - "source": [ - "model.fit(dataset, steps=20);" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "id": "f27281df", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "fixing (0,0,0) with x, r2=0.9999999999860647, c=1\n", - "fixing (0,0,1) with 0\n", - "fixing (0,1,0) with 0\n", - "fixing (0,1,1) with x, r2=0.9999999999802792, c=1\n", - "fixing (1,0,0) with x, r2=0.9999999997392498, c=1\n" - ] - } - ], - "source": [ - "model.auto_symbolic()" - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "id": "fd45a429", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 1.49e-16 | test loss: 1.52e-16 | reg: 5.26e+00 : 100%|██| 20/20 [00:00<00:00, 28.72it/s]\n" - ] - } - ], - "source": [ - "model.fit(dataset, steps=20);" - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "id": "ffb84f4c", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle x_{1} x_{2}$" - ], - "text/plain": [ - "x_1*x_2" - ] - }, - "execution_count": 11, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "sf = model.symbolic_formula()[0][0]\n", - "nsimplify(ex_round(ex_round(sf, 3),3))" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.19" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/tutorials/Interp_2_Advanced MultKAN.ipynb b/tutorials/Interp_2_Advanced MultKAN.ipynb deleted file mode 100644 index 6d593823..00000000 --- a/tutorials/Interp_2_Advanced MultKAN.ipynb +++ /dev/null @@ -1,198 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "c982abca", - "metadata": {}, - "source": [ - "# Interpretation 2: Advanced MultKAN!" - ] - }, - { - "cell_type": "markdown", - "id": "6b9ec6c4", - "metadata": {}, - "source": [ - "In the last tutorial, we introduced multiplications to KANs which makes interpretation easier in the case when multiplications are needed. Multiplication nodes by default takes in two numbers, but can take more variables specified by the user. This is done through the mult_arity argument (by default mult_arity=2)." - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "id": "d8f94f0f", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "from kan import *\n", - "model = KAN(width=[2,[3,2],1])\n", - "x = torch.randn(100,2)\n", - "model(x)\n", - "model.plot()" - ] - }, - { - "cell_type": "markdown", - "id": "20be6142", - "metadata": {}, - "source": [ - "mult_arity=3" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "id": "5fbe4670", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model = KAN(width=[2,[3,2],1], mult_arity=3)\n", - "model(x)\n", - "model.plot()" - ] - }, - { - "cell_type": "markdown", - "id": "f76b85cc", - "metadata": {}, - "source": [ - "mult_arity=4" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "id": "3f9fa6c9", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model = KAN(width=[2,[3,2],1], mult_arity=4)\n", - "model(x)\n", - "model.plot()" - ] - }, - { - "cell_type": "markdown", - "id": "ae15bae4", - "metadata": {}, - "source": [ - "You may want different multiplication nodes to take in different number of variables. This is also possible: pass in mult_arity as a list of lists, specifying the arities in each layer, including input layer, hidden layer(s), and output layer." - ] - }, - { - "cell_type": "markdown", - "id": "4f81c620", - "metadata": {}, - "source": [ - "In the following example, we have 0 multiplications in the input or in the output layer, corresponding to empty lists. In the hidden layer, we have two multiplications with arity = 2 and arity = 3, so we have the list [2,3] in the middle." - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "id": "1cbc4656", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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Bq9WKoqIimM1mBAQEICIiol7F3qqDiHDmzBlxE2dKSgocDgc6deoklqaJjY2t94J5O8LEpZ7AcVyFApCVS6zIVUZeTrxRXFJOGrK4CBiNRhQVFcFut4ueb0P6TUpLSyuUpsnIyICvry9iY2PFigFdunRpkC8vjQ0mLl5EKLEiFIAkIvj5+VXwThrSjS8gtCwWikvWp6wld2gM4gJ4tiimnBARLl68KHo1iYmJsFqtaNOmjSg0o0aN8uren9sZJi4eRCixIgTjrVaruK9DEBRPl1iREsH7MhgMYofJhnw+lWks4iIgFCTV6/ViQkh9j93VhMlkQmJiolia5vLly1Cr1Rg+fLhYmqZXr14NTkQbKkxcZMZgMIhLXUKJlYCAgAoFIOtbmmhdEcqR6PV6cSnPW8Ul5aSxiYtA+aKYfn5+iIyMbBSZWVevXhWTAvbv3w+TyYRmzZqJGWhjx45FeHi4t81stDBxkZjyJVaEfRzlS6zUt5Im7mI0GsWOk8HBwY1CLKujsYqLgNlsRmFhoVgUU6vVNoikEWewWq1ISUkRYzV//vknlEolBg8eLGag9evXr9Feu96AiYublC+xIhSABG6WWClfALKxvcWXLy4ZEBAgefvi+khjFxeg4vXM87xYFLOxPXQzMzPFDZx79uxBaWkpIiMjKxTcjIqK8raZDRomLi4gBKyF5S6hxEr5ApANIc3TFYS4kclkqpfFJeXkdhAXgfJFMZVKJSIiIhptYNxutyMtLU1cQjtx4gQUCgX69esnLqENGjSo0b88SQ0TFycQYgqCmBgMBgAQlw7q8+5nqeB5XmzaVZ+LS8rJ7SQuAg6HA0VFRTAYDPD19UVERESjStKoitzc3AqlaYqLixEWFoaxY8eKnk2LFi28bWa9h4lLNVit1goFIBtSiRWpKSsrg16vF4tLNsZlPme4HcVFwGKxoLCwEFarFYGBgYiIiLgt5oDjOBw7dkwsTXP48GEQEXr37i16NcOGDWu0KxXuwMTl/6mqxAoAsfCft3tleAOLxSL2fRGaiDXEfTdScTuLi4DBYEBRUVG9LoopJ0VFRRVK0+Tl5SEoKAijR48WEwPatm3rbTPrBbe1uAglVoS9JzzPw8fHp4J3cjuus1YuLtmYY0h1gYnLTYgIJSUlKCkpgUKhQHh4eIMt6eMOPM/j9OnT4ibO1NRUcByHLl26iKVpRowY0eiXEavjthIXIUgpBOPNZjMUCgVCQ0NFQWloJVakpHJxyfDwcFazqRxMXCrCcZy4f0uj0SAyMvK2vl70ej32798vbuLMzMyEn58f4uLixIoBnTp1um1EuNGLi8lkEpe6hLhBYyixIiVC+qlerwdwcymwsScouAITl6qx2WwoLCyE2WyGv78/IiMjb3tPl4hw/vx50atJSkqCzWZDu3btRKEZOXJko06KaXTiIpS0EASlcokV9jZeEZPJJHasFDZB3u5iWx1MXGqmoRfFlBOj0YgDBw5g165d+O2333Dt2jVoNBrExMSIpWl69OjRqF7oGoW4CCVWhLx8ocSKEIhvjJvA3KV8cUl/f//bKvvNVZi41E75tH0A4ibMxvTQlIIrV66Iy2e///47zGYzWrRoIWagjRkzBmFhYd420y0atLgQEQ4fPgyr1QqVSlWhAOTtsrHPFYQd2I2xuKScMHFxHp7nxXiMWq1Gy5Yt2QteNVgsFiQnJ4ulac6fPw+VSoWVK1di3rx53jbPZRqEuBw8eBD9+/ev8m8FBQVQKBTQ6XQIDAxE8+bNb/nM7bj+m5mZWeVcADcfklarFUFBQXA4HCgtLYVWq63wmdt1OSMnJwe+vr5VZj85HA4UFhYiMjKy2izC23He0tPTq+13L1R0UCqVUKvVCA0NveUzt2NGJgCx3Izdbsfjjz+Ofv36Abj50ixQk8cXHR0tu43u0CB+VSFFuCqioqJw5swZdOvWDenp6SCiRlHR1V14nq/2QadSqUTPLicnBxzHoUmTJp40r94iLKnq9fpb9nAolUpERUVBrVazZZ5yEBHsdjuAm0KhUqnE+bFYLFAqldBqtSgrK4PD4WCrCv+P2WzGm2++CZVKheeffx5Xr17FvHnzGs211aD9VKvVij///BPdu3eHv78/unbtilOnTnnbrAYDETWaC1lK/Pz8EBoaiqKiolveIjUaDZuzKrBarbBardDr9SgqKoJOp0NRURGsVqu4jBgeHo6cnBxvm1qvaNeuHVq3bo3NmzcjOzsb27dv97ZJktEgPJfyEJGYX5+fn49OnTqJb0IKhQL+/v7soekEQjfCpk2boqioyNvm1DuEJZzi4mJotVrxeiIi8DwPpVLJrrFylF/u4nkeDofjFjFWKBQICQkR54/xP3x9fbF8+XLExMRg4MCBaNOmjbdNcpsG8wsLpUiuX7+OK1euwGq1omvXrrdseuzRowcuX77sJSvrF0R0yz+e52Gz2VBaWgq73Q6VSgWtVosGEHrzOD4+PggICEBJSQkcDgdsNhv0er2Yncjm7H8oFArxn0qlgq+vL3x8fG4RYK1Wi7y8PC9ZWb9RKBTYtWsX7rnnHlgsFm+b4zYNxnPJzMwUU2YDAwMrrOuWR6lUIjc3F507d/aClfULofOl8A+4KThKpRJ+fn4ICQkBcHsGoZ3F398fSqUSRqMRABAYGAi1Wi0GqisnQjBqRqFQwGw2e9uMektQUBC2bNmC++67D7t27WrQ3nGDEZeOHTsCqDl7QqBDhw7gOO62f2j6+fmJb5PAzbkTlnPKz6NCoYBer68yk4cB8S0c+N/1p9Fo4HA42BKsC4SHh7N5q4EePXpg7ty5ePbZZ7F69eoGO08NZlms8gOxJpo3b44///xTZovqP8JDUaPRQKPRQK1WVxsrEDafMqqmqusvMjISZWVlXrKo4RIWFobCwkJvm1GvefDBB9GkSROsW7fO26a4TIMRl7qgUChQUlLibTMaFEKlWyYwzqNUKsXGcQznUSgUTJRrQaFQ4JVXXsGRI0fw66+/etscl2iU4gIALVq0YA/KOmK1WtnDso4EBweD53lvm9Hg8PX1ZfdnLSgUCnzxxRdYtWpVg9xi0WjFpX379sjMzPS2GQ0GrVaLqKgosSYUwzmCgoJYKrcLNG3alAX2nUClUuGnn37C3LlzcePGDW+bUycarbgoFAqkp6d724wGQ1BQENt74AIKhUIM7DOcR6VSsZRkJ/H398fOnTtx//33N6jlxEb9NLldaxa5ghCsDgoKYg/KOhIZGdko9iUw6i9NmjTBf/7zH9x1111iqZ36TqMWl169ejWYH6K+oNVq4XA4vG1Gg0Kj0bBkCBeIjo4Gx3HeNqPB0KVLF7z55puYMmVKg7jWGoy4VLXbvLZ/QUFBuHjxordN9xquzBmA2z5N1JV5Cw8Pv62TIVyZM39/fxQUFHjbdK/CcVyd/g0bNgwPPPAA3nrrLW+bXisNYt2oRYsWLt+4TZs2ldiahkFISAhsNptL372dN1MGBQW55O0KJeVvR0JDQ12+1oKDgyW2puHw7LPPupQF1r179wYxbw2in0tNJhIRLBaLuBu9KhrqDld3qO1ntdvtNTa8uh3nDKh93hwOR40icjvOW21zZrPZauypdDvOGVD7c02goT7XGsSyWPmieJX/mUwmHD16FCaTqdrP3I7UNGd2ux05OTmw2+1szipR07w5HA7k5+eLFX/ZvN2kpjmz2WzIysqCzWZjc1aJmubt5MmTUKvVOHnyZIOdtwYhLgwGg8FoWDBxYTAYDIbkMHFhMBgMhuQwcWEwGAyG5DBxYTAYDIbkMHFhMBgMhuQwcWEwGAyG5DBxYTAYDIbkMHFhMBgMhuQwcWEwGAyG5DBxYTAYDIbkMHFhMBgMhuQwcWEwGAyG5DBxYTAYDIbkMHFhMBgMhuQwcWEwGAyG5DBxYTAYDIbkMHFhMBgMhuQwcWEwGAyG5DBxYTAYDIbkMHFhMBgMhuQwcWEwGAyG5DBxYTAYDIbkMHFhMBgMhuQwcWEwGAyG5DBxYTAYDIbkMHFhMBgMhuQwcWEwGAyG5DBxYTAYDIbkMHFhMBgMhuQwcWEwGAyG5DBxYTAYDIbkMHFhMBgMhuQwcWEwGAyG5DBxYTAYDIbkMHFhMBgMhuQwcWEwGLLCcRwcDgeIyNumNBg4jgMRNeg5U3vbAAaD0fggIpw5cwYbN27E4cOHoVKp0Lp1a9x///0YP348/P39vW1ivUOYs82bNyMpKQkajQZLlizBzJkzG+ScKagBS2NeXh6++eYbnDp1Cn369MGMGTMQHR3tbbPqNXl5edi0aROuXbuG9u3bY9q0aWzOnCAvLw+bN2/GX3/9hXbt2mHq1Kls3qrB4XDgo48+wvr16/Hwww9j9OjRCAwMxNWrV7F582aoVCqsWbMGzZo187ap9QZhzj7//HNMnDhRnLMrV65g8+bNUKvVDW/OqAHCcRwtWrSI1Go1KRQKUqlUpFAoSK1W06JFi4jjOG+bWO+oPGfl/5fNWfWweas7n3/+Od1xxx20f/9+Onr0KPE8TzzPU15eHv3yyy+0fPlymjhxIhmNRm+bWm/48ssvacCAAdXO2bJly+jBBx9sUHPWIMVl0aJFBKDaf4sWLfK2ifUONmeuweatbuTn51Pz5s3pl19+obvvvpuaNm1Ku3btopycHBo/fjyFhITQjh07aPr06bRlyxZvm1svyM/Pp969e9POnTtrnLNHHnmkQc1ZgxOX3NxcUqvVNd7warWacnNzvW1qvYHNmWuweas7X3/9NY0cOZIMBgMtXryYNBoNRUVF0YABA0ihUNCgQYPor7/+on379tGkSZOY50dEP/30E40ZM6bWOduzZw/dd999DWbOGly22NatW8HzfI2f4XkeW7du9ZBF9R82Z67B5q3u7NixA927d0dAQABeffVVPP3008jPz8fRo0fRtWtXbN68GW3atEHHjh2Rl5cHu93ubZO9zuXLl9G1a9da56xz5864dOlSg5mzBicueXl5UKlUNX5GpVIhLy/PQxbVf9icuUZeXh4UCkWNn2HzVpHi4mJYrVYAQElJCc6fPy/+raioCJcvXwYA2O12KJXKWuf3dsDHx8fpOXM4HA1mzhqcuERHR4PjuBo/w3Ecy+QpR3R0NBwOR42fYXNWkaSkJHz//ffsWnOC/Px8rFu3DiNGjEBycjKOHj2K7OxszJw5EwkJCRg0aBCefvpp6HQ6PPbYYzhw4ACOHj2Kzp07w8fHx9vme5WMjAykpaXhyJEjtc7ZkSNHEBUV1XDmzNvrcnWFrYPXndTU1Brni83ZTXiep99++42GDx9OAKhHjx6kVCrZvFVBcXExff755zR27FhSKpWkVqspLi6OunbtSiqVilatWkWPPfYYDRkyhK5du0YWi4UWL15MLVu2pO+++47i4uIoKSnJ26fhFXiep/3799ODDz5ISqWSgoODqXnz5rXO2YABA+jHH3/0tvlO0+DEhYhl8NSF//73vxQaGkparZbNWTVwHEc7duygfv36EQAaNGgQ/fLLL8TzPLvWylFWVkabNm2ie+65hzQaDSkUCho5ciR98skn9P7771NwcDC1aNGCRo4cSeHh4fTxxx9TRkaGmFZrNptp7969NHHiRFq8eDE5HA5vn5JHMRgM9Mknn1DPnj0JAHXv3p3WrVtHer2e7rnnnhrn7IEHHqChQ4c2qDlrkOJit9spNDSUFAoFKZVK0mg04tsT23twE57nadmyZaRQKOjuu++m4uJicb8Gm7Ob2O12+s9//kM9evQgADRy5Ejau3cv8Twvfqb8Ppfbcd7MZjPt2LGDJk2aRP7+/gSAhgwZQqtXr6bs7Gy6evUqjRo1igDQ7NmzqaSkhDiOo2nTppFGo6HY2FhasmQJffDBBzR37lzq0qULrVixgiwWi7dPzWNcvXqVFixYQGFhYaRUKun++++nffv2iQLy9NNPk0KhoMWLF1ObNm1umbMWLVpQXFwcmUwmb59KnWiQ4vLf//6XANCvv/5Kq1evppdffplWr159Wy5PVEVZWRlNnDiRANC///3vCg/A3Nzc237OrFYrrV+/njp06EAA6G9/+xulpqbW+J3bad5sNhv9+uuvNGPGDAoODiYAdOedd9I777xDf/31FxHdFN3Vq1dTQEAAtWnThhISEm4Z58qVK/TUU09RXFwcxcfH05o1ayg9Pb2CeDdWOI6jXbt20V133UUKhYK0Wi29+OKL4vwR3XwBXLBgAQGgzz77jIiISktL6dtvv6W7776bhg0bRs2aNaMePXo0yDlrkOJy1113Ud++fRvkhMvNlStXqGfPnhQUFEQ//PCDt82pVxiNRlq9ejW1bNmSFAoFPfTQQ3TixAlvm1UvcDgctH//fpo7d664hNq1a1dasmQJXbhwocJnL168SMOGDSMANG/ePCorK/OS1fUPvV5Pa9asoc6dOxMA6tOnD23YsKFKr2Px4sUEgNauXVvteD/99BMBoKNHj8pptiw0OHG5du0aKRQK2rBhg7dNqXfs2rWLwsLCqFOnTvTnn39625x6g16vp7fffpuioqJIpVLRo48+SufOnfO2WV6H53k6ePAgPfPMM9S0aVMCQG3btqV//etfdPLkyVte3ux2O61YsYL8/PyoY8eOlJiY6CXL6x/nz5+np59+moKCgkilUtGkSZMoOTm52hfgN954gwDQe++9V+O4DoeDWrduTTNnzpTDbFlpcOKyaNEiCgsLa1A1duSG53l65513SKlU0oQJE0in03nbpHpBUVERvfbaaxQeHk4+Pj40d+5cunr1qrfN8io8z9Mff/xBixYtojZt2hAAatasGT333HOUlpZW7cPwzJkzNGDAAFIqlbRw4UJ2/9HNB//PP/9MY8eOJQAUFRVFr776KmVlZdX4vRUrVhAAevPNN506zvLly8nPz4+Ki4ulMNtjNChxMZvNFBERQc8//7y3Tak3GAwGmjx5MgGgl19+uUFlk8hFTk4O/fOf/6SgoCDy9/en5557rtYbvrFz/vx5eu2116hLly4EgCIiIujJJ5+kAwcO1HjN2Gw2ev3110mj0VC3bt3o0KFDHrS6flJcXEzvvfcetWvXjgDQwIEDaePGjU4lKaxZs4YA0CuvvOL08fLy8kij0dD777/vjtkep0GJyzfffEMA6OLFi942pV5w7do16t27NwUGBtJ3333nbXO8zvXr12nevHnk5+dHwcHB9NJLL1FeXp63zfIa165do7feeov69OlDACgkJIQee+wx+u2338hms9X6/RMnTlCfPn1IpVLR4sWLb6sMr6o4ffo0zZkzh/z9/Umj0dD06dPp8OHDTn//008/JQD0wgsv1DlePHXqVOrYsWODyk5sUOIyePBgGjt2rLfNqBfs2bOHtFottW/fns6cOeNtc7zK5cuXadasWaTRaEir1dLrr7/e4JYQpOLGjRu0cuVKGjRoEAEgf39/mjx5Mv3www9kNpudGkPYvKdSqahPnz63ddKD3W6n7du3U2xsLAGg5s2b0xtvvFHnbMGvvvqKFAoFzZs3z6VEpJSUFAJAu3fvrvN3vUWDEZfjx48TgAa1Q1UOeJ6n9957j5RKJY0bN46Kioq8bZLXOHPmDD3yyCOkVCqpadOm9N57792WmUsFBQX0ySefUGxsLCkUCvLx8aH77ruPtmzZUuf5SEtLo27dupFGo6HXX3+drFarTFbXb/Lz82nZsmXUsmVLAkDDhw+nrVu3OuXxVWbLli2kVCppzpw5LnsePM9Tnz596L777nPp+96gwYjLrFmzqFWrVmS3271titcwGo00depUcWf47RpfOXr0KN1///0EgFq3bk0fffSR02/ljYWSkhL66quvaPz48aRSqUilUtG4cePoiy++cCmhw2g00sKFC0mpVNKAAQNuW2/42LFj9Nhjj5Gvry/5+fnRrFmz6I8//nB5vB07dogZiu4uaX366aekVCrp+vXrbo3jKRqEuBQXF5O/v7/T2RWNkfT0dLrzzjvJ39+fvv32W2+b4xWSkpIoPj6eAFCnTp3oiy++cOlNsqFiMBjo22+/pfvvv598fHxIoVDQiBEjaN26dW7FlhITE6ljx47k6+tLK1asuO1e4KxWK23atIkGDx5MAKhNmzb0zjvvUGFhoVvj7ty5kzQaDU2ePFmSOS0rK6OQkBB6+eWX3R7LEzQIcVm5ciVpNJpGvSu6Jvbv30+RkZHUtm1bOnnypLfN8Sg8z9Pu3bspJiaGAFCvXr3o22+/vW28NovFQj/++CNNmTKFAgICxOykDz74gDIzM90au6ysjObNm0cAaNiwYbdslmzsZGdn02uvvSbu8Rk9ejT9+OOPklxbCQkJ5OvrS/fff7+kL0DPPPMMRUVFNYjkinovLhzHUadOneiRRx7xtikeh+d5WrVqFalUKho9erTbb1INCY7j6IcffqD+/fuLD9SffvqpQWXLuIrdbqfdu3fT3//+dwoNDSUA1Lt3b1q+fLlk+3T27NlDbdu2pYCAAFq9evVtI9Y8z1Nqaio98sgjpFarKTAwkJ566ilJNx0fOHCA/P396W9/+5vkInD+/HkCQJs2bZJ0XDmo9+KSkJBAACg5OdnbpngUk8lEM2bMIAC0cOHC22apwuFw0ObNm8XKsbGxsbRnz55GX+qH4zhKTEykp556iiIjI8Wlv1dffVXSB19JSQnNnj1bLNR5u2wqNZvN9OWXX1Lfvn0JAHXs2JFWrlwp+Ybj1NRUCgwMpDFjxsgWBxw1ahQNGzZMlrGlpN6Ly/3330+9evVq9A+X8mRkZFC/fv3Iz8+vQbyhSIHVaqUNGzZQx44dCQBNmDCBUlJSvG2WrPA8T4cPH6bnn3+eWrRoQQCoVatW9M9//pOOHz8u+TW/c+dOatGiBQUHB9Onn356W9xT169fp5deekkU7AkTJtCvv/4qiwd89OhRCgkJoREjRpDBYJB8fIHt27cTgHq/RF6vxSUjI4OUSiV98skn3jbFYyQmJlKTJk2odevWdPz4cW+bIzsmk4nWrl1LrVq1IgD04IMP0rFjx7xtlmzwPE+nTp2il156SdzhHR0dTfPnz6fU1FRZHnpFRUU0ffp0AkDjx4+njIwMyY9Rn+B5nn7//XexGVdISAg9++yzdOnSJdmOefLkSQoPD6fBgwdTaWmpbMchurls2rx5c3riiSdkPY671GtxWbx4MQUHB98Wexd4nqcPP/xQ7OiXn5/vbZNkpbS0lFasWEHR0dGkVCpp2rRpdPbsWW+bJRsXL16k119/nbp160YAKDw8nObMmUP79u2TNd7x/fffU3R0NIWFhdFXX33VqL0Vg8FAn376KfXq1YsAULdu3WjdunWyPz/+/PNPioyMpH79+nmsrt/SpUspMDCQSkpKPHI8V6i34mK1WikqKormzZvnbVNkx2w208yZMwkAPfvss406vba4uJiWLFlC4eHhpNFoaM6cOXTlyhVvmyUL6enptGLFCnGdPygoiKZPn047d+6UfXNiXl4ePfzwwwSA7rvvPsrOzpb1eN6kcjOu++6775amb3Jx8eJFatq0KfXu3dujCTfZ2dmkVqtpzZo1HjtmXam34rJlyxYC0OhLo2dlZdHAgQPJ19eXvv76a2+bIxu5ubm0aNEiCg4OJj8/P3rmmWca5fJMTk4OrVmzhoYOHUoAyM/Pjx566CHavn27RzoJ8jxPmzZtooiICIqMjKRvv/22UXorHMfR7t276e677662GZfcXL16lVq0aEHdunXzSg27SZMmUdeuXevt71tvxWX48OE0cuRIb5shKykpKRQdHU0tW7ZskM2AnCEzM5OeeeYZsZjkokWLGt1+pcLCQvrss89o1KhRYivku+++m/7zn//Ivv5enhs3btA999xDAGjy5MmNcmlVaMYlVHcWmnF5ugXA9evXqW3bttSxY0eveYUHDhwgALRv3z6vHL826qW4nDp1igA06kq/n3zyCWk0GoqJiWl0D1uimx0xZ8+eTRqNhsLDw2np0qWNqphkaWkpbdy4ke666y5Sq9WkVCppzJgxtGHDBo/Xe+N5nr744gsKDQ2lpk2b0o4dOzx6fE9w4cIFmjdvntiM6+GHH6akpCSvvLXfuHGDOnbsSG3btvWq983zPHXv3p0mTpzoNRtqol6Ky5NPPknNmzdvlLEHi8VCc+bMEVvENrZzPHv2LE2bNo2USiVFR0fTihUrPPr2Licmk4m+++47mjhxIvn5+Yk729euXUs5OTlesSk9PZ3GjRtHAOixxx5rVIVMhWZcwvlFRUXRK6+84tXePHl5edS1a1dq2bIlXbt2zWt2CHz44YekUqnqZb+ieicuer2eAgMDacmSJd42RXKys7NpyJAh5OPjQ59//rm3zZGU48eP04MPPiju1fjwww89EmOQG6vVSr/88gtNmzaNgoKCCAD169eP3n33Xa8WEOQ4jtatW0dBQUHUsmVL+vXXX71mi9QIzbjat29PAGjAgAH0zTffeL3kSWFhIfXq1YuaNm0qa1pzXdDr9RQUFESvvfaat025hXonLmvXriWVSkU3btzwtimScujQIWrWrBk1b96c0tLSvG2OZCQnJ9P48ePFXc+ff/55gy/T7nA4aO/evTR79mwKDw8nANS9e3d644036sVD5cqVKxQXF0cA6IknniC9Xu9tkyTh9OnTNHfuXAoICHCpGZec6HQ66tu3LzVp0kTSiglS8NRTT1GzZs3q3SpIvREXh8NBNpuNunbtSg899JC3zakzDoeD7HZ7lWvA69evJx8fHxo6dKjXlk+coaZzKA/P85SQkCA2UOrZsydt3rzZ6yVqnLW/KjiOo5SUFJo3bx5FR0cTAGrfvj0tXrzYY+Xna7Pf4XDQypUryd/fn9q1a0d79+71iF11oa6/QVXNuF5//XWvxSGrsr+0tJQGDRpEWq2WTp065RW7auL06dMEgLZt20ZE7t0HUqKGFyEinDlzBps3b8bJkydRUFCAixcv4pFHHoHZbIa/v783zauVyvbbbDa0atUK999/P8aPHw+VSoXnnnsOH3/8MZ588kmsXr0aPj4+3ja7ArWdQ/nfgOd57Ny5E8uWLcORI0fQv39//Pjjj7jnnnugVCrrvf1VfffEiRP49ttvsXXrVmRmZqJFixaYNm0apkyZgv79+0OhUNQL+y9cuICZM2ciLS0N8+fPx7JlyxAUFCSrbc7iym9QWFiI9evX4+OPP0ZmZiaGDx+OrVu34oEHHoBGo6k39sfExODBBx/E+fPnsX//fvTu3dujtjlDr169MHz4cKxYsQLHjx+v830gFwoiIo8fFYDD4cBHH32Ezz//HBMnTsSgQYPg4+ODvLw8fPfdd1CpVFizZg2aNWvmDfNqpTr78/PzsW3bNjgcDuTl5eGPP/7ARx99hDlz5njb5Fuo7RyE3yAqKgrfffcdli9fjjNnzmDEiBFYvHgxxo4dK/vDVwr7K19Df/75J7799lt8++23uHLlCpo0aYKHH34YU6ZMwbBhwzwmlM7Y/8EHH2DTpk1YsmQJ2rRpg88//xzDhw/3iH3OUNff4Pjx41i7di2+/fZbKBQKTJ06FfPmzcOdd95Z7+zfunUr0tLSUFpair1792LIkCFesbE2HA4HZs2ahT179uCJJ55w+j6QHW+5TF9++aXY8Y7jOJo1axa1a9eODh8+TGazmd5++22aOHGix/PXnaU2+9966y0KDAystznoRM79BgMGDBCLScbHx1NSUpK3zRapyzV05coVWrZsmVgaJDQ0lGbOnEkJCQleW85zxv7IyEhSKBT04osv1ssECWfO4YEHHqAvv/yShgwZInYPffvtt+tFCwln7uO4uLh6+xwiqr/PUq+IS35+PvXu3ZsSExOJ53niOI7uu+8+UqvV4sPLarXS9OnTacuWLd4wsUactX/atGn10n4i589h8uTJ1L9//3q3ydNZ+6dOnSpmHQUGBtLUqVPp559/9nrmkbP2T5kypd52YK3LNQSARo0aRT/88EO96R3T0J9DRPX7HLwSczl06BCaNGmCNm3a4MqVK+B5HgaDAUSErKwsXL58GUqlEtOnT8cXX3yBSZMmeW1Nvyqctf/RRx+tl/YDzp/D3//+d3zxxRfo27evt02uQF2uoeTkZGzZsgX33nsvAgICvG06AOftf/zxx/HFF1+A5/kGew09/vjj0Ov1+O9//1uvzqGhP4eA+n0OXhGXy5cvo1u3bvjXv/6FnTt3AgDMZjM4jsOsWbOgUqkQEhKCzZs3Iy8vD3a7Hb6+vt4wtUoauv1Awz+Hutjfvn17PPDAAw3W/vo4/0DdzsFsNte7c7jdfgNPn4NXxMXHxwdWqxUtWrRA165dAQBXrlxBSUkJ2rRpg6CgIAQFBUGhUECpVHo1aFwVDd1+oOGfA7Pf+1gsFlgslgZ5Dna7HRkZGQ3W/vz8fCQnJ2Pnzp3o0KFD/TwHjy7C/T+JiYk0cOBAKi4uJovFQmazme655x5Sq9W0b98+slgsZLFYaMuWLTRnzhyy2Wxkt9uJ4ziv527X1f7HHnuMdDodGY1Gstls9cJ+orr/BvWtd/2ePXtowIABTtlf35oq2Ww22rlzZ4O0/8aNG7Rp0yaaO3cu9enTh+64444Gcw7Xrl2jTz75hB544AEKDQ0lhUJBffr0aRD2p6en08aNG2nu3LnUrVs3UigUpFAoqHnz5nTnnXfWy3PwygJiv3794O/vjx9++AEajQY+Pj7iOqDw/w0GAzZs2IDp06dDpVIBADiOg8PhgN1uh8PhAMdxIC9kUjtr//r16/Hoo49CrVbDarWitLQUOp0OpaWlsFgs4DjO47YDN/P6O3XqBJVK5dQ5PPLII3A4HLDZbHA4HOB53it2A4DNZkNeXh6aNm3qtP1TpkwBx3FetZuIYDKZkJ+fj9zcXHTu3Bk+Pj5O2X/PPffAYrF4zfbMzExs3LgRs2fPxtSpU/HNN9+gadOmWL58OYKDg2s9h08//RTTpk3zuN1GoxG//vornnnmGXTt2hUdO3bE/PnzUVRUhH/+8584cOAAQkNDnXoOedJ+IsKFCxfw2WefYcaMGWjbti3atWuHGTNm4ODBgxg5ciQ2b96MzMxMXLp0CSEhIfXuHAAvLYsFBgbirbfewuzZs+Hr64sHH3wQHTt2RP/+/REUFITMzEy8+OKLGDx4sLjvQJgwupnhBiICz/PiA0OhUIj/5A5YBQYG4o033sDcuXNrtH/IkCGIi4urII42mw12ux1GoxEAoFQq4ePjA41GA41GI7vb6nA4UFJSAgB48803MX/+/FrPYcSIEVAqleJ8OxwO0fbyv42c2O126HQ6GAwGqNVqtGnTBu+//z7mzJlTq/0xMTFQKBQgInAcV+FakRuHwwGDwQCj0Qie5+Hr64uIiAj4+/vj3XffdfoeMBgMMJlMCAgIgJ+fn+x2p6enIzExEQcOHMBff/0Ff39/DBkyBDNmzMDAgQNFG8LDw2s8hwULFiA5ORmHDh2SfQ8REeH06dNISEjA7t27kZqaCpvNhjZt2mDcuHF4++23MXLkSISGhorfefvtt2u0f+HChRg8eDCGDh0qm90cx+H06dNISkpCcnIykpOTUVBQAJVKhb59++Khhx5CTEwMhg8fjoiIiFu+7+yzVM5zqAqvbaIEgNTUVDzzzDPQarUYOnQoAgMDce3aNRw/fhyTJ08WH3w1UV5shH9ARbGR+kHC8zyKiopw7NgxvPXWW/Dz88OQIUPqZD8RwW63i/8EL0atVotio1ZLq/1msxl6vR4qlQphYWHQaDRITU3FSy+9VKdzKC/swnzLJTQOhwM6nQ5lZWVQqVQIDw9HcHCw+HvW1f6qrhOpbSYimM1mGAwGWK1WKJVKBAYGIigo6Jbf1Fn7OY6DyWSC1WqFSqVCQECApIFZIsK1a9eQmJiIxMREXL9+HYGBgRg6dCji4uLQv3//ao9X0zlMnDgRBQUFWLVqFcaMGYOvvvpK0s18hYWF2Lt3L3bv3o2EhATk5uYiICAAsbGxiI+Px7hx49C5c+ca7//q7E9NTcXVq1exZMkSvPjii5LZbLPZcOzYMVFMUlNTUVpaCl9fXwwaNAgjRozA8OHDMWTIEAQHBzs1ZvlzGDx4MAIDA/HXX3/V6VkqNV4VF47jsHfvXhQXFyM9PR1msxkdO3ZEbGwsWrdu7ZIgyC02RASdTgeO4xAREQGj0YhDhw7h+PHjbtnP87zo1djtdhARFApFBa/G1YcgEUGv18NsNiMgIAAhISEVbCsrK3P5HOQSGo7jRFFRKpUICwu7xW537S9vsxQvIVV5KUFBQfD3969x3LrY73A4YDKZYLPZoFKpEBgY6HJJISLC5cuXRUHJyspCUFAQhg8fjri4OPTr18/pUiy1ncPevXvx2GOPgeM4fPnll5gwYYJLNtvtdqSlpSEhIQEJCQk4fvw4iAi9evXCuHHjMH78eAwbNqzOD9Lq7P/222+xYsUKfP3117j77rtdsll4RgheSVpaGiwWC4KDgzFs2DAMHz4cI0aMwIABA9wSAOEcjh07hu3bt2Pw4MFYtGiRy89Sd/GquBQVFeHPP//EgAEDZK19IzxEyosNADF7oi4PFb1eD6vVivDwcFlrIJX3aoRlKJVKVcGrccZmm82GkpIS8DyP0NBQWedZCqHhOA4lJSUoLS2FQqEQRUXu5RRXvRnBSzEajbBYLKKXEhgYKOv14XA4YDQaYbfboVarERAQ4JTIEBEuXryIAwcOIDExETk5OQgJCUFMTAxiY2Nx5513ymZ3QUEBZs6cKcZBBK+/NtLT05GQkIBdu3bh999/R2lpKSIiIjBmzBjEx8dj7NixaN68uSw2ExFmz56N3bt347fffkOvXr1q/U5xcTFSU1ORnJyMpKQknDhxAg6HA5GRkYiJiRH/9enTR/LVCYG1a9ciOzsbb731lizjO4NXxeXKlSsoLi7GwIEDPXpc4SFYWWzKp+tV9eA2Go0wGAwIDQ31yLq3AM/zFcSG53koFArRo9FoNGJcpzwGgwFlZWXw8fFBWFhYlZ+Ri7oKDc/z0Ov10Ov1AIDQ0FCEhoZ6fNOas96Mq16K1NjtdphMJtjtdmg0GgQEBNwiDjzP4/z586KHkpeXh7CwMIwYMQKxsbGyPuQqQ0T48MMP8eKLL6Jbt27YtGkTunXrVuEzRqMRiYmJ4lLXpUuXoFKpMHjwYIwbNw7jxo1Dv379PHY9m81m3HXXXeISXFRUVIW/Z2dnIzk5GSkpKUhKSsKZM2cAAC1btsSIESMQExODESNGoGvXrh67NpKSkrBu3Tp89tlnCAkJ8cgxK+NVcTl69CjCw8PRsWNHb5kA4H9vruUfLEBFsRE8AGHt3JsIGXPCP6BiYoBSqYRer4fNZkNQUJDT67ZyUVUChiAyRISysjKUlJSAiERR8aQQ1mRzZaHxhpfiDDabDSaTCQ6HAxqNBv7+/rhw4YIoKIWFhdBqtYiNjUVsbCx69+7t1d3mp06dwrRp05Ceno6VK1di4MCB2LNnD3bt2nVLID4+Ph4jR45EWFiY1+zNycnB6NGj0apVK6xatQqHDx8Wl7muXLkCAOjcubMYLxkxYgTatGnjtb0xJSUlePLJJzFv3jyvFTr1mriYzWYcPXoUPXr0qDIDwptUzkhzOBwoLi6Gn58fwsLC6tWGqsqJAUajEaWlpdBoNGjSpAkCAwM99lbqDMK8CstfQuZaaGgotFptvbIV+N/8lvdS/Pz8EBQUhICAgHpzHQA3lxSPHz+OvXv3IjU1FXq9HlFRURg1ahRiY2PRo0ePelO+pLCwEP/973+xfPlyXLp0CQAQEBCAuLg4xMfHIz4+vtZAvCfgeR7nzp1DcnIyfvrpJ+zZs0dcOejTp4/omQwfPhxNmzb1qq2VEeItTz/9tFeO77U7WafTiWvq9Y3ySyEKhQIlJSXw9fVFaGio19Kfa7JV8FhKS0sBAGFhYQgICADHcdDr9ZIlBkiFwWAQkyJCQkLE5S9h+U/warz5YCEiWCwWGAyGW7wUQQCFpAtv4nA4cPLkSSQmJiI5ORklJSWIjo7GuHHjMHDgQHTo0AH+/v4ICAjw6u/ucDgqBOKPHTsmBuLvu+8+/P777wgNDcWiRYswYsQIr9r5xx9/ICkpCSkpKUhOTkZxcTHUajUGDBiAe++9F/v27cPixYuxaNEir9npDL1790ZSUpLXrlOviktISIjXlz9qgojEN+vw8HDR1srZaDzP37J/wlP7KICb6+4lJSXgOA7h4eEVijOW92qsVisA1xID3IWIRFFxOBwICgq6JSlCEG6O48T59LTQCIFyo9EIjuPg4+MDrVZbwUsp/9t7et8McPM3/eOPP0RBKS0tRfPmzTFhwgTExsaiS5cuoi0WiwUmkwk6nQ6+vr4ICAjw2D0nBOJ3796N/fv3o7S0FFqtFmPGjMGTTz6JsWPHokWLFgBubtScMWMGRo8ejZdffhmvvvqqR7xYi8WCI0eOiGnBBw8ehNFoFPf1zJ8/HzExMRg8eLB4Xy1fvhzvvvsu+vTpg/Hjx8tuo6v06dMHv/zyCzIyMtCmTRuPH98ry2JEhIMHD6JVq1Zo3bq1pw/vNM5mhnljr42A0WhEWVkZ1Go1wsLCarwhXU0McBdBVOx2OwIDAxEeHl5rZpMgNOW9RLmEpiovJSAgAEFBQbXGUjyxbwa4KSjHjh1DYmIiUlJSYDAY0LJlS8TFxSE2NhYdO3ascV4EkRGW9eTwZIxGI5KSkrB7927s3r27zoF4juPw9ttvY+nSpRg0aBA2btyItm3bSmpjaWkpDh48KAbfjxw5ApvNhtDQUAwfPlwMvvft27faa5Tnefz973/H77//jl27dqF79+6S2igVdrsds2fPxsSJE3Hvvfd6/PheERe9Xo9Tp07hzjvv9HqwuTrczQyTMv25uvFLSkpgtVoRGBhYYWOhs9SWGOBuxQCj0QidTgebzYaAgACEh4e7lMcvl9BU5aW4Gkup6cXCVaxWK44ePYrExETxjbpNmzaioLRr165O4wsiajabJREZ+v/2wIJ3kpKSApvNhtatW4t7TlwJxB88eBDTp09HSUkJPvnkE0yaNMkl+4Cb6c/C8lZycjL++OMP8DyP6OjoCsH3nj171unFymQy4W9/+xtKSkqwd+9eREZGumyjnLzzzjuw2Wx49dVXPX5sr4hLeno6cnJy6m3bUKvVKnlmmKvpzzXZB9yMr0ix81bKigHCMozVaoW/vz+0Wq1ku4OlEBph97zFYoFCoRB/Z6kyvtzxZiwWCw4fPiwKisViQfv27cUsLyne5AWRMZlMAAA/Pz/4+/s7ZWNRUVGFHfE5OTnw9/evsCO+/LKcq5SUlOCpp57Ctm3b8Pjjj2P16tVO3YuZmZlivCQpKQnnz58HALRr107cXzJixIhaPT1nyMrKwpgxY9ChQwfs2LGj3pXjB4Bdu3bhP//5Dz7//PPbY4f+iRMnEBAQIJaIrk8ImWHC3hC5qCn9ubry2ELcwmAwwNfXV8xckwNXKgaYzWbodDpYLBb4+fkhPDxc9s2xzgoNx3Fixpe7XoqzOOvNmM1mHDp0CImJiTh8+DAsFgs6deokCkqrVq1ks89sNsNsNgMA/P39b9mnU10gvmfPnmKa8PDhw2XZ90VE+OabbzB//ny0aNECmzZtqtC0TqgwUL4mV3p6OgCge/fuFTYsyjWHR48exb333ouHHnoIa9as8XqCR2Wys7OxYMECLFq0CHfeeadHj+1xcbHb7Th06BC6dOmC6OhoTx66VnieR3FxMRQKBbRarUcvlMoJAgLCw4jjOJSWlsJutyMkJASBgYEesw2ouWIAx3EoKyuDxWKBr68vtFqtrKJSFdUJjdVqhclkgtlsFr0Ud0qmuEploTGZTEhLS0NiYqK47t+1a1dRUOTacV4VPM/DbDaLlZcLCgqQlJSEhIQE7N+/H3q9HuHh4Rg7dqy4I14IxHuCS5cuYdq0aThz5gyefvpptG7dWtwBn5eXB6VSiTvvvFNc5ho+fDiaNGniMfu2bduGp556Cm+88Qb+8Y9/eOy4zkBEmD9/Pvr374/HH3/co8f2eLaYTqcDcDP7qj4h1N8iIoSHh3v8DaT8G61KparwMDKZTCgpKRELN/r4+IjBeE/ZKXgrwP8SAwwGAzIyMmA0GuHj44MmTZqIBTE9Tfmd/3a7HaWlpSgrKwPHcWIaeVBQkFdTxg0GA1JSUpCYmIhjx47BbrejR48emDVrFmJjY722T8JisSApKQm7du0SA/FKpRIDBw7Ec889h/j4ePTv39/jmZ02mw3Hjx9HUlKSuCv+gw8+gEKhwMCBAzFr1izExMRgyJAhXtuFDgCTJk3ChQsX8Nprr6FTp04YO3as12ypjLAf59SpU54/tqc9l4sXL8JgMKBfv36ePGytCD1W5K4ZVhfKF5z08/MTbyBPZ6RVxmazQafTwWg0QqPRIDg4GL6+vrIlBjiLsHu+vJfi7+8PtVrtkayzqigtLUVKSgoOHDiA48ePg+d59OzZE7GxsYiJiUGTJk0qlMfxVFr42bNnxUB8cnJyhUD82LFjMXjwYPj5+YmZc54odyR4c0JNrrS0NJjNZgQGBmLYsGGIiYmBn58f3nvvPQDAl19+WW9SgXmex6OPPoqUlBQkJCSgS5cu3jZJ5PDhw1i5ciXWrl3rUY/O4+KSlpaGqKgotG/f3pOHrRGTyYSysjKP1wyrCaF/SU0FJ6vKSJNTbCr3VAkPDxdbqApUlxhQPt1Zyv0LHMeJmX1CLEVY+qp87uVrnQkxJDmERqfTiR7KiRMnANzc0CYISuXMIjkyzSpTPhC/Z88eZGdnw9/fHyNGjBAD8ZVrX5Uv8y+HyOh0OqSmporB92PHjsHhcECr1VYIvt9xxx0Vrpn8/HzMnDkTv/32G5599lm89dZb9SKYbjAYMGHCBJhMJiQkJNSbyiNGoxFz5szBrFmzMHr0aI8d16PiYjQacfz4cfTq1aveLIvJkRnmLkLBSY1GU2HzZm1Ul5HmbvpzbT1VaoLjuApi40xigDMI+1IEL0XYl+JsLKVyYc3ySRSu2FNUVITk5GQkJiaKSxB33nmnKCjOXu+VhcZV4XM4HDh8+LAYiD969KjLgXipesnk5uaKgffk5GScPn0aRIQWLVpUSAvu1q1brb8BEWHt2rVYtGgRunfvjk2bNtWLBKGMjAyMHTsWXbp0wfbt2z0e26uOf//73wgLC8OCBQs8dkyPiktWVhbS09MxdOhQr5cgATyXGeYsQr0tqQpOOlOQs6YHV116qjhLVYkBarW6gldT3fiVvRSNRiNmfLlzPVUlNOW9muoQAt+JiYk4c+YMlEol+vbti7i4OAwfPrxCx0NXbKqrN3P9+vUKO+KFQHz50vQtW7Z02aa69JIhIqSnp4tCkpSUhMuXLwMAOnbsKNbkiomJqfN+nfKcPHkSU6dORWZmJlatWoWZM2d6PWMrLS0N999/P6ZOnYr333/f6/YAwPfff4///ve/WL9+vcdiZx4Vl9OnT0OpVKJnz56eOmS1eDMzrCosFotYBywsLEyWNx5n05891VPF2YoB7nopdaGy0AAVWwXk5eWJgnL27Fmo1Wr0798fcXFxGDp0qCyB5eq8GZPJJO6IT0hIwIULF6BUKjFo0CBxqUuOQHxVvWQ0Gg3Onz9fYY9JVlYWFAoFevXqVSEtWMpOlMDNFZEFCxZgw4YNmDhxIj799FOvr4xs3rwZ8+fPx9tvv405c+Z41RbgZnuTV155BUuXLvVYPMhj4sJxHA4ePIj27dt7NI2xOoQaV1qt1qv1zYgIpaWlMJlM8PPz82gPk8rpz0JPlfKiEh4e7jF7ylcMEDb5mc1mKJVK+Pv7Izw8HIGBgR6dH57nkZWVJb59X7x4ERqNBoMGDRIFxVNp4TzPizviExISkJKSAqvVKgbi4+PjMWrUKI88WB0OB44fP459+/YhNTUVhw8fRlFRETQaDfr16ycucw0bNgxarVZ2e4Cbb+dz585FSEgINm7c6LVS8wL//ve/8fHHH2Pbtm0YOXKkV23heR5z5sxBfHy8WxUP6oLHxKW4uBhnz55F//79KxRW9AalpaUwm81O1biSEyGWIVQH9ta88DyP0tJSMYEgJCSkgqfiyYw0wUsp35vE19dXfAGQKzGgMllZWWIvlEuXLsHHxwcDBw7EiBEjMHDgQHEpzt12zrVRVFSEffv2id5JdnY2/Pz8MGLECDGzq2vXrlCpVLL/LkePHhU9k9TUVBgMBvj5+WHgwIEYPHiw+L9RUVFea52QkZGBGTNmIDU1Fa+88goWL17sNVs4jsO0adPE2FenTp28YofAqlWrUFhYiDfffNMjx/OYuFy9ehWFhYUYNGiQJw5XLUJmWEhIiMc3+lW2o7S0VAyQe+MGELwmoQ1ySEhIhY6VnirIKcRSjEajKCiVYylVJQYolcoKYuPuQ/769euioFy9ehV+fn4YOnQoYmNjMWjQIDH4XdvSmTs4HA4cOXJEFBMhEN+jR48KgXjh2pUr00zoxy54bEeOHIHVakVISIi4UXHEiBHo16+fGNy32WwVKiAEBAR45bp2OBx466238Prrr2PIkCHYuHGjV6oCAzfnMT4+HjabDXv27PHqct3vv/+Ozz77DOvXr/dI8pLHxOXYsWMICQlB586dPXG4KhH2ZwQEBHitYKaw9GSxWFwuOOkuRDe7PwpeU3BwsNMCJ2VBTovFAqPRCJPJJMZSAgMDncpEqi0xwJm9SkLQOTExEQcOHEB6ejoCAgJEQRkwYECt2VRSCE1GRoYYiN+3b5/LgXh3Ms2KiorEAo9JSUn4448/wHEcmjRpUiH43rt371qXkYWqCMIGVk+W+S9Pamoqpk+fDr1ej88++wwPPfSQx20AbtZSHDt2LHr27Ilt27Z5bR9dcXEx/vGPf+DZZ5/1SF1Hj4iL1WrF4cOH0b17d69VD60PmWHlC056Y0+NUJuspp4qroxZl4KcVXkpwr4UV9/669JKgIhw9epVUVAyMzMRGBiI4cOHIzY2Fv3793d5qdRZoTGZTEhOTsauXbtuCcQLpekHDBjg8gPZGW/mxo0bFYLvf/75JwCgTZs2FdKC3ekGWb7Mv7dERmj3+91332HmzJlYtWqVx0snATeF7sEHH8Rjjz2GFStWePz4Ai+88AI6deqEJ554QvZjeURccnJycPnyZQwdOtQrbnJ9yAwrKysTC056o0e8Kz1VXKG6jDThbdZqtdbZS6krlVsJEBH++usvpKWlISUlBbm5uWL/jtjYWPTt21fyt8nyQiO0yt27dy/27NkjBuJbtmwplqaXKxBPdLOh2ZUrV5CSkiJ6J3/99RcAoGvXrhU8Ezn6K3mil0xNEBG++uorPPPMM2jVqhU2bdrk8SKOAPDNN9/g+eefx7vvvouZM2d6/PiCDWlpafjoo49kfw56RFzOnTsHm82GO+64Q+5DVYk3M8OEvSJ2ux3BwcEe36gpVU8VV+B5XtwQarfbxb0RgYGBYgDa1U2Lzhz7woULOHDgAPbv34+8vDwEBwdj8ODBGDp0KPr27Qt/f3/ZEgOKi4uxb98+0Tu5ceMG/Pz8EBMTg7Fjx2LcuHHo0aOHLNcjz/M4e/ZsBc8kJycHSqUSd9xxh9gUKyYmxmPFY4mk7SXjChcvXsS0adPw559/4q233sIzzzzj8f12L730Ej7//HN8//33iImJ8eixAeDUqVN466238N5777m158kZZBcXIsKhQ4fQokULrwTVysrKYDKZvJIZZjabodfroVQqPV6zTM6eKrVhtVrFfSnAzVLuQUFB8PX1dSpJwJ3lsXPnzuHAgQNITExEQUEBwsPDMWLECMTGxqJPnz4AIEtigBCIL78jnud5dO/eXfROhB3xUicD2O12nDhxQiw9n5KSgpKSEmg0GjHDbfjw4Rg6dChCQ0NvqbztyTbSVKnMf116yUiB1WrF4sWLsXLlSsTHx+PLL7/0aHV2h8OBRx55BCdOnMCePXs8XgbLZrNh1qxZmDJlCu666y5ZjyW7uJSWluLkyZO44447PF651Gw2o7S01OOZYeULTvr7+yM0NNRjN6+ne6oI8Dwv7p53OBxQq9UICgqqNZbibkaasPfjwIEDSEpKQlFRESIjI0VB6dWrV43HdycxIDMzEwkJCdi1axf279+PkpIShIeHY/To0WIgvqY+IpX3GAH/E5qaztlkMuHw4cPi7vdDhw7BZDIhMDAQQ4YMEWtyDRw4sMbf3hM1zWo6dm29ZORk9+7dYgn6r7/+GuPGjfPIcYGbnXiF4yUkJLhVycEVli1bBoVCgZdfflnW48guLtevX8eNGzcwZMgQj8Y6vJUZ5kzBSTmwWCzQ6XQwm83w9fVFeHi4R/bN1OSluEptBTl5nsfp06dx4MABJCcnQ6fTISoqSuyF0r17d5fehGtLDHA4HEhNTRXThM+fPy+WphfShN0JxFfXk6asrAwHDx4UxeTo0aOw2+0IDw9HTEyMGHy/8847XfaOveXNVO4l40mRycvLw9///nfs3r0bzz//PJYtW+Yx7/7atWsYO3Ys+vbtiy1btng0Fr1z505s3boVn3/+uayrObKLy8mTJ+Hj44Pu3bvLeZgKcByH4uJisXKvp3C14KQ7WK1W6HQ6mEwm+Pj4iLvY5UTwUsqXAHHGS3EVIoLNZsOJEyeQmJiIlJQUlJaWomnTpoiNjcXIkSPRrVs3yR9Idrsdp0+fRkJCAvbs2YNDhw7BarWiRYsWGDt2LCZMmIDRo0dLvgM9Pz8fiYmJYlqwUOCxWbNmGDFihBiA79Gjh+Tz7S1vhud5mEwmWCwWsSKDn5+fR467Zs0a/Otf/0LPnj2xadMmj5VHSUpKwkMPPYTZs2dj+fLlHjkmcNPj/uc//4mXX34ZvXv3lu04soqLw+HAwYMH0blzZ481QiIiFBcXg4ig1Wo9spYrdcFJZ6jcU0Uofy8ncngpNWG323H8+HFRUMrKysQKukIf9PI4W5CzJoRAvFCaPisrC35+fhg+fDjGjBmDkSNHokOHDuJbvhQVA65fv14h+H7x4kUAQIcOHRATE4Nhw4Zh+PDhaNu27S1FNeV8+HrDm6ksMp7qJfPHH39g2rRpyMzMxOrVq/H3v//dI97T559/jhdffBErV67EjBkzZD8ecPN3ffrppzFkyBA8+uijsh1HVnEpKCjA+fPnMWjQII+5m0JmVkREhEc8B08UnCyPMz1VpMTTXorNZsPRo0eRmJiI1NRUGI1GtGrVCnFxcYiLi0P79u1vOVdnC3JWhcPhwNGjR8VA/JEjRyoE4uPj4xETE3PL8qarFQOICBcvXqzQ9z0jIwMA0LNnTzH4HhMTU2UNvuqWzuR88HvDm5G7l0xVGI1GPPfcc/jiiy/w8MMP45NPPvHInrgXX3wRX3/9NXbs2IFhw4bJfjwA+OSTT3DlyhWx8ZocyCouly5dQmlpKfr37y/XISrgycwwTxecdKeniitYrVZx9zwRiftS5LjBLRYLjhw5gsTERBw8eBBmsxnt2rVDbGws4uLi0KZNmzqdZ+WCnALCAzErK0tsnLVv3z6UlJQgLCxMDMSPGzeuxkB8VVSXGKBUKnHu3Dmxw2JycjIKCgqgUqnQr18/MSV42LBhdW4u5S2h8aQ3I1Uvmbqwfft2zJ07F2FhYdi4caPsD3y73Y5Jkybh7Nmz2LNnD9q2bSvr8QDg0KFDWL16NdatWydbYVFZxeXw4cOIjIxEhw4d5DqEiJAZFhwcLHsg25MFJ+XoqVIdVXkp5felSInZbEZaWhoSExORlpYGi8WCDh06IC4uDrGxsZJu5qtcmr58IF7YczJw4EBJUsWtViuOHDmCAwcOICUlBWlpaSgtLYWvry8GDBggxkuGDx8u6TKmp4XG095MXXrJSMH169fx6KOP4tChQ/j3v/+Nl156Sdagu06nw9ixY+Hj44Pdu3fLvrReVlaGuXPnYu7cubJVbJZNXEwmE44dO4aePXvKXnJbiD/4+/vLnu7sqYKTnuqpAtycP6ESsZxeitFoFAXl8OHDsFqt6Ny5M+Li4jBixAjJNnUREc6dO1ehR7zFYkGLFi3E8irCjnh3C3IaDAYcOnRIjJccPnwYFosFwcHBYt/3oUOHok+fPlAqlbDb7QAAlUpVYQlNyoeyN4Sm/LHkFpnKvWTkEhmHw4Fly5bhzTffxNChQ7Fx40ZZKhgIXL58GePGjcOgQYOwadMm2Zf1Fy9ejKioKDz77LOyjC+buNy4cQN//fWX7F0nPZUZVr7gZEBAgKzeg16vh16vB3CzBpkcS25C4NRgMMjqpRgMBhw8eBCJiYk4cuQI7HY7unXrJgqKVI2jdDpdhdL0WVlZ8PX1rdAjvnv37jXul3GmIGdxcbFYQiU5ORnHjx8Hx3GIjIys0Pe9d+/eVb54EFGFJTSO4wDI10rAk0LjSW/GbrfDZDLBbrdDo9GIDcvkIDk5GY8++ijKysrw2WefYeLEibIcB7hZuXjSpEn4xz/+gaVLl8p2HADYtm0bEhIS8Nlnn8nyjJZNXM6ePQsiQq9eveQYHoDnMsNsNhtKSkpARLIVnBR6qpQ/jhw1yCp7KULGl5TnVFpaitTUVCQmJuLYsWNwOBzo2bMn4uLiJCs5wnFchR3xQiC+W7duFQLxri5ZCm/jN27cEHe9p6Sk4OzZswCAVq1aITY2Vtxj0rVrV5ceop5oJSDgaaHxhDdjs9kq9P4JDAyUZTVBp9PhiSeewPfff4/Zs2fjgw8+kC3l/7PPPsNLL72EDz/8EI888ogsxwCACxcuYMmSJXjzzTdvybyUAlnEhed5HDx4EG3btpW1fo2Q/qvVamVbnhIKTgrVlKV+2AuJAdX1VJECT3gpJSUlSElJQWJiIk6cOAGe59G7d29RUKSohp2VlVWhNL1Op0NoaGiF0vTuLFsQEa5du1YhLfjq1asAgM6dO1dICxZKGUmR/lz++OWLbrraSsAZypegISLZhMZT3owneskQEb744gs899xzaN26NTZt2iRLvUQiwoIFC7Blyxb89NNPsvXA4jgOs2fPxj333IMHH3xQ8vFlERedToczZ86gX79+sqm7wWCA0WiULTNM7oKT5EZPFWeR20vR6XRITk7GgQMHcPLkSQDAHXfcgdjYWMTExLgdazObzUhOThaXus6dOwelUokBAwaIsZOBAwe6PGdCLbLyacHZ2dlQKBTo06dPhbTgyt5WbRlpUjyky1cMsNlsoghU1UrAHcqXoJFbaOT2ZjzRS+bChQuYNm0azp07h7fffhvPPPOMLGL50EMP4eLFi9izZ49ssZ73338fpaWlsizBySIu165dQ35+PgYPHiz10AD+t7dErswwu92OoqIi2QpOEhGysrJgt9sl6alSFYWFhTCbzVCpVOK+FClvss2bN2P9+vVQKBTo16+fuEQk1b6APXv24P77768QiI+Pj5dsR3x+fj66d++O4uJiaDQa9O/fX8zkGjp0aJ3Po7oaaUqlUrJ5r9xKALgZq5EyiaUqoZHj+q88R1I/nMuX+Zd62Re4KWIvv/wyVq1ahccffxyff/65pOMDNxu4jRs3DgEBAdi3b58sL9F79+7FF198gQ0bNkj+LHVZXIRlLyE9EAACAgIQHR0Ni8UCm81WY4DdmYkqKChAcHCwWOcJuJll4+vrC6vVWutk1LZWnZeXVyFnXq1Ww9fXF0qlEkajEQEBATVe9LU9NK5fv47AwMAKRQmDgoKg0WhQVlYGX1/fGuehtvGzsrKqDYhbLBYoFIpq9wSUlJTUuq/i3nvvxVdffVXl34Rd1FXFhXJzc7Fr1y4sWLCgxvEBoEmTJrj33nvFB4FKpYJSqYSfnx86d+6Mhx56qEbvt7b4TWRkJN58801cvHgReXl5cDgcCAgIwKhRozBmzJhaH2y1je9wOCp8X6FQ1OnBWdtDVWhwV35ZSVgmE2I0Ne37qO0esNlsonhwHAciEtshCEJT03XojChwHFetlyIIWE3U9veioiIxNlV56dBisdTq4dU2R5GRkWIztcqU/12qYsGCBdi0aVON43fo0AGHDh2q8m8cx4lLfVX9bdmyZfjwww9rHB8AZs+ejQULFuDPP/9ETk4OeJ5H69atMWDAABgMBkRFRdU4R668NLq8BiM8MJs0aSJe3CUlJbh69Srat28vSeYWEYnurXDiwtpqUFCQ24FOIhJ3twtZPEajEWq1WnzTceetShhfuFntdjv0er1YTNPdpQHhQVAVNT2Qi4uLnarEarVaq/USqvvvx48fx8aNG7FkyZJaxwduLn0tXLgQQUFBUKvVcDgcYrfKtLQ0zJs3Dz/88IPLG+fMZjOUSiXuv/9+tGrVCv7+/igoKMD27dtx6NAhfPjhh257FsJ1WF5QANyyXOYKgngI1yHP82IQW6oqCQqFQhQAlUoFu90OHx8fcXlMCoR7rPL1LoXHQkTiS5zVaoXdbhfL+Pv7+4sFSF09ltlsdikJ5aOPPnJquclisSAqKqrO4z/11FN49dVXnfqsUPmiS5cuiI2NhUKhwJkzZ/Ddd9/hgQceqPMGXqcgF0lOTiae52/572azmU6fPk06nc7VoUXy8vKqPIbD4aCSkhIym81V/t1ZcnJybvlvPM+TxWKhsrIy0uv1pNfrXT7GX3/9dct/4ziOdDodFRQUUEFBARUXF7s8fkZGRp2/43A4KC8vz6nPjhs3rk5jJyYm0nvvvUclJSVOfycwMLDGv586darOdpQnICCgyvnleZ62bdtGjz76qFvXkN1ur/ZvPM+Tw+EgjuNcPkZhYWGV49rtdiopKSGO41waV8BqtRLHcWSz2UQbBZulwuFwENHNa7+mueB53qXjFhQUVBjDZrORXq8ng8FApaWlVFZWRmVlZa4ZTzevIVfw9fV16nPNmzev89ilpaV07733Ov35Rx99tMq5LSwspPfee4/Onj1bZxtqw63XkqreBPz8/NC9e3fcuHEDOp3OneGrPYZKpUJISAjsdrtYRFEqhKWkwMBABAcHQ6VSieXApUCpVCI0NBRarVZMnzYYDJKNXxNEhPz8fEkyt6oae+3atXj++ecl7U/Ru3dv8XpylaquIYVCgYcffhgDBw7E2rVr3TGxxuNW5cVIMa5Q462srMztsTmOg1qtFudJqVSKmWpSIoxPVewnonLBfnJtpV48hkajQXBwsHgfBwYGiisHnuLYsWPYuHGjbOPfd999+Pbbb+v0naq80IiICMyfPx/btm0T99ZJhSwbQ1QqFbp164aMjAyYTCY5DgGFQoGgoKAKwU2px1cobvZ6Ly0tdeuCr2psIRsnJCRE3KsjNwaDQbZd/nv37sXKlStlGfv9999HXFyc5OMCwNNPP43ffvsN6enpsoxffjlGSoEBIJZBKSsrc+v6KS8sQEURkJLyc1FeYIR/5Zf+pDiWUNut/H3sKcaOHYuHHnpIlrHPnz+P4cOHS9YrysfHB4sWLZI8Y0y2rfNKpRI9e/bEn3/+KflNJaBQKBASEgK9Xi/bw1mhUECr1UrqvVQev2nTpigrK5NlfAGhAKBcddDeeecd2fY0KZVKdOjQQba36R9//BGjR4+W9RpSKpW3VG2WAmHPkjsvQFV5dhqN5pbxpLC/cnmd8h6MnGVjBIGR4xqqTElJCaZNmyZbqZ377rtPciEICAjA3/72N5w+fVqyMWVtdqJSqdCzZ0+cO3dOtmMoFAqEhobCaDTKdgyNRiO5y1geX19fFBUVyTa+sBzWpEkT2W5euZuy/fjjj5g9e7YsY/v6+uLjjz/GO++8I8v4wP8ERg4BExJQpFwiVigUFR7EQnqyUK7G3bFrquMm1zz5+fnJeh8LjBo1CmvWrJFl7MTERLz++uuy3MejR4/GqlWrJJt72TtpCR3l5FoeA24+/K1Wq6xLS0KMRy6aNGkCq9Uqy9gmk0m25TDgZkr3Bx98IMvYAn5+fvj5559l+43HjRuHLVu2yPYbABC9Fznw9fWtkLIvFcJ8OxwOqFQqyb2v6jIm5ZgnIZ4q128A3Kyp2KVLF9nutUcffRSTJ0+WZWyFQoHnnnsOiYmJkownf5tG3MzjPnXqlKzHCA8Pl/WtxN/fH8XFxbKNHxgYiNzcXMnHJSKUlJTI2hZgwYIFspb5Edi9e3edg5h14ffff5e1KCHwv5RcOQgJCZE0rqDRaESPRUinr2q5TGrk8q6Bm/eZXM8Js9mMcePGyRbIT0tLw/vvvy/r/PTq1QvffvutJALsEXFRKBRo2bKlrEtXgist57q5v7+/JMsC1Y0fFBQk+fhlZWWSL4cJm+0EcnNzZb3gBQYMGIAnn3xStt9Y2LsjZ/xLqVTKeg2p1WrJ3syF/S8Oh0N8E6+8XCYncvzOci1P3rhxA4888gg2bNggS51DIsKkSZPw8MMPSz52eRQKBf79739jw4YNbo/lEXEBgJYtW8ruvYSFhaGkpES28YODg2X1XrRaLXJyciQdU6/XS1o24uTJk/jwww+xadMm8DyPgoIC2fpBVMUPP/yAL7/8Urbxv//+e4wbN0628eXKxBIQgvtSUVW/GTm9LwE523RI7eEVFBTg0UcfxRtvvIEhQ4ZINm55du7ciXfeeccjL3HNmzdHaWmp23Fgj4mLQqFAdHS0rHELuW9cqd8MqxpfWIqQApvNJunO20OHDmHnzp2YPHkygoKCsGbNGvzzn//EPffcI9kxamPkyJF45ZVXZPuNfX19ERUVJWuMUKVSyZ6ZJtX4VcVD5LwHyh9XzvtMqlUOIsKoUaOwefNmyduLlJaW4ty5c9i3bx9Wr16NKVOmSDp+TTz33HNYunSpW3PkMXEBgPbt24vVc+VCbu8lLCxMks2h1REVFVWn2Av9f4kci8VyS1JDfn6+ZLnwFy9exI4dO/DSSy+hadOmuO+++xAbG4sXX3zRI29TAgqFAr///jv++c9/ynaM7777DhMmTJBtfDkfnMBND1vOPR3CcllDJjQ0VJLlz2XLluGtt95C06ZNJbDqf5w/fx5PP/00duzYgbNnz+KHH37w6H2mVqsxefJkJCUluT6GhPbUSvlsDbnc3vJvJXL8GOW9o/owviB0arUaRCS2IRAqLrtro9VqxalTp7Bp0ya8++67Yh0uhUKBO++8062xXaVLly747bff8Pbbb8uyvu3j4yPGGuTqE1S+1pYcYwPyXaPA/2Kccj7w5DyGIJDOjn/p0iVEREQgMDBQLIyZkpKCEydO4JVXXnHbnkuXLqFNmzbQaDQ4e/YsXn75ZXz55ZdiNQ1PCovA0KFDMW/ePMTExLj0vHbrznHFZerRoweuXbvmdOczV44RFhYGg8GA4OBgWcYPDw9HWVmZU6XOXRm/adOmKC4udmpJq3ILZLPZjOLiYjgcDkRFRdV4fGcu2HfffRctW7bEsmXLoFKp6vTG6mxBSFfegvfv34+XXnoJ7777rizj//rrr1i4cCFWr15d62dd+Y2FtGRn5siV8YODg8XilnKML1wLzoqvq8srcs6RsD/OmV5NH3/8MYxGo5jYI2Rhbtmypdbryxn7N2zYAIvFgpCQENy4cQPffPMNQkNDnfJwnb3PXPGWX331VWzdutWljpgui0uLFi1cronlbPlmd3bUOhPEDgwMlHX8kJAQsR1BXXGm/0RwcLBYkltArVaLFWFri2/Vdg4PPfQQevfujfDwcGRnZztneDk6d+5c62eeffZZlxM9YmJiZB1/1KhRtX7GnTdKZ77r5+fn8hKUM31Y3InPOPs2684cOXMMd7I4nZmjZ599FhMnThQrsgsVQdq2bVttKf7y9O3bt8a/P/HEE7j33ntRVFSEsrIyPPDAA8jMzERmZqZT59CnT59aPzNhwgRcv37dqfEq06lTJ5e+53I/l5q+ZjQaYbfbaxQRZy646o5BRLBYLLXGE2o7Rk3n4EypFHfGF1on1/SAd2f82vq5SDG+0Wis0bty9zcWlixqGsfVc5B7fOFvtX3fnfEdDgeIqMYHpDvjA6h1Cdud39hZ3L1Oa+vn4u5vXNsY7owvLM+6cx/XdAybzYb8/Pxa96m58oLgcuCjuhIOCoUCeXl5OHPmDE6cOIHi4uIaSz24cgybzYaysjKx73xt5STqOj7HcSgrK4Ner6/xPN2ZI51OB4PBINv4er1edOOlHt9gMGDu3LlYsGABbDaby+NXd4zU1FR06NABUVFRuHTpkqTnYLVasXbtWrRo0QIBAQFioFSO34DneTgcjipb+0oxvnAfCJltUo8vJIuUF2Ep72Nhjmr7jKvjAzdfdIWGblKPf+LECYSEhGD27NmSjw8AX3/9Ndq0aYNx48bBbrdL+huUlpbim2++wezZs/H666+joKDArXOokupq8btLSUkJnTx5khITE+nEiRNUXFws6fhWq5UKCgooPz+fLBaLpGMT3exLk52d7VYfiJrIz8+nzMxMWcZ2OByUkZFBRqNRlrEXLlxI99xzD2VlZUk6tt1upyVLlpBarabY2Fi6fv26ZGPbbDb69NNPqVWrVqRSqWjmzJl07do1ycavDo7jyG63k81mI4fD4VbvmKowm81UVFREOp1O7JsiJQ6HQ+z5IgdS944pj8VioYKCAlnGv3HjBrVs2ZIGDx5MJpNJ0rGLi4tpxowZpNVqaeHChZKOX1ZWRps3b6YZM2bQ448/Tt9//73k9gvIJi4CxcXFdOLECUpMTKSTJ0/WqZFUbQiNt3Jzc91q6lUdZWVllJ2dTWazWdJxiYgMBgNdvXq1xmZT7oydkZEhy8Nm9erVNGrUKDpx4oSk46anp1NMTAyp1Wp6/fXXJZsXh8NBX3/9NXXo0IGUSiVNnTqVLly4IMnYdUFOkXE4HKTT6aioqEiWa9Vut5PVapX8/iK6OS9yXKdEN+9fqV9qiYhMJhMNGjSIWrVqRdnZ2ZKOnZKSQj179qT27dvTzp07JRvXZDLRd999R48//jjNmDGDtmzZItuLs4Ds4iJQVFREx44do8TERDp9+jSVlpZKNrbJZKK8vDwqLCyU/GGt0+koJyeHbDabpONyHEdXr16VdB4ECgsLKTc3V/Jxf/rpJ4qNjaWffvpJ0nG/++47Cg8Pp7Zt21JKSookY3IcR1u3bqVu3bqRQqGgBx54gE6fPi3J2O7aZbPZJBcZnufJYDBQYWEhlZaWSi4Egs1SI3TrlIOioiIyGAySjsnzPE2dOpUCAwPp+PHjko1rt9tp2bJlFBERQffccw/duHFDknEtFgv99NNPNGvWLJo+fTp9/fXXpNfrJRm7NjwmLgIFBQV09OhRSkxMpLNnz0r249vtdiosLKS8vDxJl4N4nqeCggLKy8uT3L3OysqSRQSysrIk9RCJiE6cOEGjRo2iVatWSTamwWCg2bNnk1KppMmTJ0vSGpvnefr555/pjjvuIIVCQRMmTKCjR4+6b6zEVBYZqbBarVRUVETFxcWSigHP82S1WmXxtOVYLnQ4HFRQUEBWq1XScZctW0ZKpZK+++47ycZMT0+n+Ph4atKkCb3//vuSXA82m41+++03mjt3Lk2dOpU2bNhARUVFEljrPB4XF6KbF2peXh4dPnyYEhMT6dy5c5IIAs/zVFpaSrm5uaTT6SQTA4fDQbm5uVRQUCDpTVBcXEx//fWXZOMR3Xy4ZGRkSBqHunHjBt1zzz20YMECyR6EJ06coG7dulFQUBB98cUXbs8rz/OUkJBAgwYNIoVCQXFxcZScnCyJrXIih8hwHEd6vZ4KCwslfdHiOI6sVqvkngbHcZK/uJlMJiosLJT0fv3hhx9IqVTS0qVLJRtz+/bt1KZNG7rjjjvoyJEjbo/ncDho79699NRTT9GUKVPo448/pry8PAksrTteERcBnucpOzub0tLSKDExkS5cuCDJmrHFYqH8/HzKz8+X7M3FZrNRTk6OJG/XAmazma5evSqpEOj1esrMzJTspjIYDDRjxgyaPn26JEt4HMfRypUryc/Pj/r16ydJ/CMpKYliY2NJoVDQ4MGDae/evbLEB+TE4XCIIiPVg1Z4wJaUlEgmCHIE+OVYGtPr9ZJ673/88QcFBQXR5MmTJbm2DAYDPf3006TVamnOnDluL1VxHEeJiYk0f/58mjJlCq1Zs0aypTVX8aq4CHAcR1lZWXTo0CFKSkqiS5cuuf3A5TiOiouLKTc3l8rKyiS5IEwmk6QZZDzP019//SVp0DEvL48KCgokGYvjOHrxxRfprrvuooyMDLfHy83NpQkTJpBSqaSFCxe6/RsfPnyY4uPjSaFQ0J133kk7d+5scKJSGalFxm63i8F+qV5ipA7wC+Ii5XiFhYWSZUHl5ORQmzZtaMCAAZJ4gidPnqT+/ftTy5YtacuWLW6dN8/zdPDgQXr++edp8uTJ9N5770maZekO9UJcBDiOo8zMTEpNTaXk5GS6cuWK256HwWCg3NxcKioqkuTtqLS0VNIMstzcXMneMHiep8zMTMnE76OPPqKRI0dKErPYvXs3NWvWjJo2bUq7du1ya6xTp07RfffdRwqFgrp3707fffedbOms3kB42EolMjzPU1lZGRUWFkr2oiW1wEiZkmyz2aigoECS+91sNtPQoUOpRYsWbqfecxxHa9eupejoaBo5ciRdvXrV5bF4nqdjx47Riy++SJMnT6bly5e7NZ4c1CtxEXA4HJSenk4pKSmUnJxM165dcyuQKFxseXl5kohCcXGxZBlker2erl69KsmNZTKZKCMjQ5Kg686dOyk2NpZ27Njh1jgWi4UWLlxISqWSJkyY4FYCw/nz52nKlCmkUCioY8eOtHHjRtkyjeoD5UXGbre7fY1YLBZxT4wU14iUGWRSxl0MBoMkwWue52nGjBkUEBBAhw8fdmus3NxcevDBB0mr1dJrr73m8kszz/N0+vRpWrx4MU2ePJmWLl1K58+fd8s2uaiX4iJgt9vp2rVrlJycTCkpKZSenu7yw4TnedLr9ZSbm0slJSVuu6JSZZDZ7Xa6evWqJFlzxcXFkuTdnzp1ikaPHk3vv/++W/N04cIF6tevH/n6+tLKlStdnqurV6/S448/TiqVilq3bk3r16+XJS22viKlyDgcDiopKZFk2UjKDDIp4y7FxcWSeO8rVqwgpVJJW7ZscWuchIQE6ty5M3Xt2pV+//13l8c5f/48LVmyhCZPnkyLFy+mM2fO1Otl4HotLgI2m42uXLlCycnJlJqa6tYGQbPZLMYl3HlACRlkUmSkZGRkUH5+vltjEBFlZ2e7Hb/Jzs6me++9l5599lmXHxo8z9MXX3xBQUFB1K1bN5c3XGZmZtKTTz5JGo2GmjVrRmvXrpWlGkNDQUqRMRqNVFhYSHq93q1xpMwgkyLuwnEcFRQUuH2d/Pzzz6RSqejVV191eQyLxUIvvfQSabVamjJlisux0MuXL9OyZcto8uTJtGjRIjpx4kS9FhWBBiEuAhaLhS5fvkxJSUl06NAhysrKcunGcDgcVFRURLm5uW55DEIGmbtZKYWFhW4H4ex2O2VkZLj1Nmo0Gunxxx+nRx55xOXsFZ1OR5MnTyalUkmzZ892aX5zc3PpueeeIz8/P4qMjKQVK1bIUsqmocLzvLjb3x2RsdlsVFxcTEVFRW7FNqXKIJNiacxsNru9ZeD06dMUEhJCDz74oMv2XLx4kUaMGEFNmzalTz/91CV7rl+/TitWrKDJkyfTggULKC0trUGIikCDEhcBs9lMFy5coMTEREpLS6Ps7GyXJr2srIxyc3OpuLjY5YtIyCBzR6SMRiNdvXrVLU+qrKyMMjIyXD4PjuPopZdeor/97W+Unp7u0hgpKSnUrl07Cg8Pp23bttX5+0VFRfTSSy9RYGAghYaG0uuvv+6x3cQNkcoi48o9IOwNKywsJIPB4PLDS4oAvxSlYEpLS93aLpCfn0/t27envn37unRP8zxPX3/9NTVv3pwGDx5MZ86cqfMYN27coFWrVtHkyZPpmWeeoaSkpAaZsNIgxUXAZDLRuXPnKDExkQ4fPky5ubl1vritVqu4J8ZVV1rIIHP1+zzP07Vr19zygIQYkKt88sknNHLkSEpLS6vzdx0OB73++uukVqspJiamzuKk1+tpyZIlFBoaSkFBQbR48WKP7yZuyEghMlIUwLTZbG4JjBQpye5sHLVYLDRixAhq1qyZSysJOp2OHnvsMdJqtfT888/XeRUhLy+P1q1bR1OmTKF//OMftG/fvgadsNKgxUXAYDDQ2bNnKTExkY4ePVrn+IUUBTCFDDJX4xTZ2dmUk5Pj0neFFGRX3/J37dpFsbGxLnkb169fp9jYWFKr1bRkyZI6nb/BYKC3336bIiIiyM/PjxYsWOC13cSNAXdFRooCmO5mkLkjLna73eVYKs/zNHPmTPLz86ODBw/W+fsHDx6kXr16Ufv27emXX36p03eLiopo/fr1NHXqVHriiSdo165djSJhpVGIi0BpaSmdOXOGEhMT6dixY1RYWFin77tTANPdDDKdTkfXrl1z6cayWCyUkZHh0rr5mTNnaMyYMbRixYo6H3v79u2k1WqpTZs2lJSU5PT3zGYzrV69mpo2bUo+Pj70j3/8Q/Ly/bcz7lRgdrcAprsZZO7EXYQkBVf44IMPSKlU0saNG+v0PbvdTsuXL6fIyEi6++6763Qdl5SU0FdffUXTp0+n2bNn088//9yoElYalbgIuNNLxp0CmO5kkFmtVrp69apLAfmSkhKXHs65ubl0//330/z58+v0pmQwGGju3LmkVCrp4Ycfdnp+vdVT5XbFHZFxpwCmOxlk7qQkl5SUuOS9//rrr6RWq+lf//pXnb53/fp1Gj9+PDVp0oTeffddp+32ZE8Vb9IoxUXA1V4y7hTAtFqtlJ2d7VL8JD093aVYgyBodcFkMtHMmTPrXI34jz/+oO7du1NQUBBt2LDBqQdWfempcrviqsi4UwDTnQwyV5bGhJWDui7n/fnnnxQWFkb33ntvnWzdsWMHtW3blvr06eP0Bktv9FTxJo1aXARc7SXjagFMVzPI8vLy6tydkuM4ysjIqNOxOI6jxYsX0/jx4532HHiep1WrVpGfnx/17dvXqV3B9bWnyu2Kq71kyhfArMsD2NUMMldKwQidaevi9RQUFFDHjh2pT58+Tj8TDAYDzZs3j7RaLc2aNcupl0hv9lTxJreFuAjk5+fXuZdM5QKYzqLX6+ucQVZWVkZXr16t0w1iNBrrvKl0w4YNFBcX53TgMi8vj+666y5SKpX0/PPP13pOVfVUkaKcOEMaXCnzb7fbxT0xdbmmhePURWBcSUmua9dJq9VKI0eOpOjoaKfbXpw6dYoGDBhALVu2pM2bN9d6TvWhp4o3ua3Ehejmgy83N7fOvWRcKYBZVFRUpwwyh8NR5+6UwjGcZc+ePRQbG+t0SYuEhARq1qwZRUdH02+//VbjZxtqT5XblbqKjCsFMHmer3MGmStxl7qUfOF5np544gny9fV16vrkOI4+/PBDio6Opri4OLpy5UqNn6/cU2XdunW3ZRbkbScuAq70kqlrAUye58VlNWfd/KysrDpdiDdu3HA6ZnLu3DkaM2YMLV++vNYHg9VqpRdeeIGUSiXFx8fXKmCVe6rs2bOnQe0mvp2pawXmuhbAdCWDrC7LdnXtOrl27VpSKpX05Zdf1vrZvLw8mjhxImm1Wnr11VdrPEb5niqTJ0+m1atXe72nije5bcVFoK69ZHiep5KSEqcLYJbPIHOGoqIipzch2mw2ysjIcEro8vPz6YEHHqB//OMftb5FXrx4kfr370++vr70wQcf1PjAKd9T5Y477qBffvmFiUoDpS4iU9cCmHXNIKtLSrLJZHK65EtCQgKp1Wp64YUXav3snj17qHPnztSlSxfav39/tZ+rzz1VvMltLy4CDoeDMjIynO4lU5cCmHXJIKtLd8rS0lKnuk6azWaaM2cOTZo0qcZ1aZ7n6auvvqLg4GDq2rUrHT9+vNrPNvaeKrcrde0lU5cCmHXJIKvL0pizXScvXLhA4eHhdNddd9U4tsVioZdffpm0Wi1Nnjy52oKTVfVUqW3J7HaCiUsl6tJLpi4FMI1GI2VnZ9ca3xG6Uzqz1CUsudUEx3H02muvUXx8fI0Xvk6no0ceeYSUSiXNnDmz2vXr8j1VOnTo0Oh7qtyu1KUCc10KYDqbQeZsKRhnu04WFRVRly5dqGfPnjVmal26dIliY2OpadOm9Mknn1R5/IbUU8WbMHGphrr0knG2AKazGWQ5OTm1rtUKJV9qC/5/+eWXFBsbW+MO+tTUVGrXrh2FhYXR1q1bq/zMtWvXxJ4qrVq1os8++6xRlKhg1IyzIsNxnNMFMJ3NIHMmJVmIg9YUz7HZbDRmzBiKjIys9gWL53n65ptvqEWLFjRw4MBqU+Yr91Q5ffo0WwauBiYutWC1Wp3qJeNsAUzB06npZtDr9XTt2rUabyyz2UwZGRk1PuD3799PsbGx1Za0cDgc9MYbb5BGo6Hhw4dXmZKZmZlJTz31FGk0GmratCmtWbNGshbPjIaDsyLjTAFMZzPInIm7ONN1ct68eeTj40MHDhyo8u86nY4ef/xx0mq19Nxzz1W5unDlyhVavnw5TZ48mV588UU6fvw4E5VaYOLiJBaLhS5dulRjL5nyBTCrq8vkTAaZzWajq1ev1riEptPpavRuLl68SOPGjaM33nijSjsyMjIoLi6O1Go1vfbaa7eIXW5uLj3//PPk5+dHERERrKcKg4icK47pTAFMZzLInIm76HS6Gr33jz/+mJRKJa1fv77Kvx86dIh69+5N7dq1o59++umWv1+/fp3efffdBttTxZswcakjzvSSMRqNNRbAtNvt4p6Z6sjIyKixc11OTk613y8oKKCJEyfSk08+WaUXtWPHDoqIiKDWrVtTYmJihb9V7qmydOnS22I3MaNu1CYyzhTAdCaDrKa4S21dJ/fv308ajYaeffbZW/5mt9vp7bffpsjISLrrrrtuqYxRvqfK/PnzG2xPFW/CxMVFauslU1sBTCGDrLoHd0FBAWVkZFT5NyGzrapxLRYLPfHEEzRx4sRb0p+NRiM98cQTpFQqaeLEiRXESa/X09KlSyk0NJQCAwPp5Zdfvq12EzNcozaRqa0AZm0ZZDXFXSwWCxUUFFT590uXLlFERATFx8ff8oKXkZFBEyZMELuclv97+Z4qTz31FO3du5clrLgIExc3qamXTG0FMGvKIDMYDNV2pzQYDFV2neR5nl5//XUaN24cXbx4scLfTp48ST169KDAwEBav369+BAwGAz0zjvvsJ4qDLeoSWRqK4BZUwZZTaVgqus6qdPpqFu3btStW7db/v7jjz9S27ZtqXfv3hUa4xUVFdGGDRto6tSpNHfuXPrtt99YwoqbMHGRiNLSUjp9+jQlJibS8ePHK7z111QAs6SkhLKzs2/57xzH0bVr16r0bAoLCyk3N/eW//7NN99QbGxshcAlz/O0Zs0a8vf3pzvvvJPOnTtHRBV7qmg0GtZThSEJNVVgrqkAZnUZZDXFXYqKim7ZAmC322n8+PEUERFBly5dEv+70WikZ555hrRaLc2cOVPcF1NSUkJff/01TZ8+nWbNmtXoeqp4EyYuElNdL5maCmAKGWSVb6IbN25UWXYlKyvrlk1jiYmJFBsbS1999ZX43/Lz8+nuu+8mpVJJzz77LJnN5lt6qvz9739nPVUYklOdyFRXALOmDLKq4i7VdZ187rnnSKPR0L59+8T/durUKRo4cCC1aNGC/vOf/4g10sr3VNm+fXuj7KniTZi4yER1vWSqKoDJcZzo2ZS/iXQ6Hf31118V/pvVaqWMjIwKN+bly5cpPj6elixZIn52z5491Lx5c4qOjqb//ve/5HA46JtvvqEOHTqQQqGgRx55hPVUYchOVSJTXQHM6jLIqkpJFryg8qxfv56USiWtW7dO/N66deuoadOmFBcXR5cvXyaTyUTbt2+/bXqqeBMmLjJTVS+Zqgpg2u32WzLALBYLXb16tUI6p16vr7B8VVRURA8//DDNmTOHzGYzWa1WevHFF0mpVNK4ceMoKyuLtm3bVqGnyqlTpzw3AQwGVd1LpqoCmFVlkFW1NFa56+SBAwfIx8eHnn76aSK66bU//PDDpNVq6ZVXXiG9Xn9b9lTxJgoiIjBkp6CgANevX4fJZEJERATatGkDjuNgsVjg5+eHkJAQ2Gw2FBcXIzAwECEhIQCA69evIzg4GFqtFgCQl5cHlUqFyMhI2Gw2PPfcc8jLy8Onn34KnU6H6dOn49SpU3jzzTfRqVMnLFmyBKdOncL48eOxdOlSDBgwwJvTwLjN4XkeHMcBAJRKJQDAYDDA4XAgICAA/v7+4DgOHMdBrVZDqVSCiMDzPJRKJRQKBYgIRUVFCAoKgp+fH65du4bBgwejT58++PXXX5GcnIynnnoKALBmzRoQEX744QcYDAaMGjUKDzzwgHg/MeSDiYsHISLk5+fj+vXrsFgsaNKkCZo2bQq73Q6lUonQ0FDYbDaUlpYiNDQUAQEByM/Ph91uR4sWLcDzPG7cuAGtVouAgAC89dZbOHDgAFatWoVjx45h3rx5aNasGZ555hls3LgRR44cQWxsLN544w0MHz7c26fPYIhUFhmr1Qqz2QyNRoOgoCDwPA+e56HRaKBQKMBxHBQKBZRKpXiPhIeHw2g0YtiwYbDZbDhw4ADWrVuHdevWYdSoUZgyZQr27dsHnU6HESNGYOLEiYiKivLymd8+MHHxAkSE3NxcZGRkwGq1IjIyEmFhYVCpVAgKCoLD4RA9HKvVioKCArRp0wZWqxVFRUVo3rw5tm7dis8++wzPP/88tm3bhm+//Rbx8fEoKytDamoqBg0ahDfeeAOjR4+GQqHw9ikzGFXCcRx4ngdwU3BMJhMAIDAwULxu1Wo1hMeUUqmEwWCA3W5HSEgI7rvvPhw8eBBbtmzB22+/jXPnzmH69Omw2WwoKCjA0KFD8dBDD6F58+beOcHbGCYuXoTneeTk5CAzMxN2u11c/goODobD4QDP8wgPD8fJkyeRmJiInJwcaLVa9OnTBx988AGGDBmCbdu2IS8vDx06dMDp06fRp08fvPHGG7jrrruYqDAaDILI8DwPi8UCh8MBX19f+Pj4QKFQQK1WIycnB9u3b0d6ejqaNWuG9PR0fPrpp3jhhRewceNGhIWFoW/fvrDb7RgwYAAefvhhtG7d2tundtvCxKUewHEcsrOzkZmZCavVisDAQDRv3hwcx+H999/HRx99BCKCSqWCw+EAALRu3RrZ2dkICQmBTqdDt27dsHTpUjz44IPiWjaD0ZAQYiuCwFgsFmg0Gmg0GixduhQffPCBGIsR7oNmzZrBaDSiU6dOaNeuHfr27YtJkyahQ4cOXj4bBhOXegTHccjKykJGRgYMBgM2bdqETZs21fidDh06YMmSJXjkkUegUqk8ZCmDIR+CyNhsNhiNRixduhQffvhhtZ9v0aIF5s6di0mTJqFr164etJRRE0xc6iEOhwMnTpzAkCFDxPXoqlAqlbh+/TpatmzpQesYDM9ARMjOzkbr1q1rvA9UKhWysrLQtGlTD1rHqA22flIPUavVSEtLgzO6v2PHDg9YxGB4HoVCge+//77W+4CIsG3bNg9ZxXAWJi71lLy8PKjV6ho/o1KpkJeX5yGLGAzPw+6DhgsTl3pKdHS0uA+gOjiOQ3R0tIcsYjA8D7sPGi4s5lJPycvLQ8uWLcWsmKpQq9XIyspiNxaj0cLug4YL81zqKdHR0Vi4cGGNn1m4cCG7oRiNGnYfNFxqXsxkeJXly5cDAN5//33wPA+VSgWO46BUKrFw4ULx7wxGY4bdBw0TtizWAMjLy8PWrVuRl5eH6OhoTJ48mb2pMW472H3QsGDiwmAwGAzJYTEXBoPBYEgOExcGg8FgSA4TFwaDwWBIDhMXBoPBYEgOExcGg8FgSA4TFwaDwWBIDhMXBoPBYEgOExcGg8FgSA4TFwaDwWBIDhMXBoPBYEgOExcGg8FgSA4TFwaDwWBIDhMXBoPBYEgOExcGg8FgSA4TFwaDwWBIDhMXBoPBYEgOExcGg8FgSM7/AT1e8UuIaoNgAAAAAElFTkSuQmCC\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model = KAN(width=[2,[3,2],1], mult_arity=[[],[2,3],[]])\n", - "model(x)\n", - "model.plot()" - ] - }, - { - "cell_type": "markdown", - "id": "b8992507", - "metadata": {}, - "source": [ - "Make a deeper network" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "id": "5da9e2b1", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model = KAN(width=[2,[2,2],[1,3],[3,2],[1,1]], mult_arity=2)\n", - "model(x)\n", - "model.plot()" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.7" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/tutorials/Interp_3_KAN_Compiler.ipynb b/tutorials/Interp_3_KAN_Compiler.ipynb deleted file mode 100644 index 11c0fcfc..00000000 --- a/tutorials/Interp_3_KAN_Compiler.ipynb +++ /dev/null @@ -1,306 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "c982abca", - "metadata": {}, - "source": [ - "# Interpretation 3: KAN Compiler" - ] - }, - { - "cell_type": "markdown", - "id": "6b9ec6c4", - "metadata": {}, - "source": [ - "We have shown in many examples how to extract symbolic formulas from KANs. Now we want to consider the reverse task: compiling a symbolic formula into KANs. This might be needed for many reasons. One use case is that we have prior knowledge which is the approximate ground truth (empirical/constitutive laws etc.) and we want to build this knowledge into neural networks and only fine tune the network to real data." - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "id": "d8f94f0f", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "from kan.compiler import sf2kan\n", - "from sympy import *\n", - "from kan.utils import create_dataset\n", - "import torch\n", - "\n", - "input_variables = x,y = symbols('x y')\n", - "expr = exp(sin(pi*x)+y**2)\n", - "\n", - "model = sf2kan(input_variables, expr)\n", - "\n", - "f = lambda x: torch.exp(torch.sin(torch.pi*x[:,0]) + x[:,1]**2)\n", - "dataset = create_dataset(f, n_var=2)\n", - "model.get_act(dataset)\n", - "\n", - "model.plot()" - ] - }, - { - "cell_type": "markdown", - "id": "535c253f", - "metadata": {}, - "source": [ - "if you want more complicated formulas, you can load in an equation in the Feynman dataset." - ] - }, - { - "cell_type": "code", - "execution_count": 16, - "id": "e9cf1b61", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "from kan.feynman import get_feynman_dataset\n", - "import matplotlib.pyplot as plt\n", - "\n", - "problem_id = 36 # problem_id in 1-120\n", - "input_variables, expr, f, ranges = get_feynman_dataset(problem_id)\n", - "n_var = len(input_variables)\n", - "model = sf2kan(input_variables, expr)\n", - "\n", - "dataset = create_dataset(f, n_var=n_var, ranges=ranges)\n", - "model.get_act(dataset)\n", - "#model.plot(in_vars=input_variables, out_vars=[expr], beta=10000, title='P{}'.format(problem_id))\n", - "model.plot(in_vars=input_variables, out_vars=[symbols('omega')], beta=10000)\n", - "plt.savefig('./fig1.pdf', bbox_inches='tight', dpi=200)" - ] - }, - { - "cell_type": "markdown", - "id": "d1db913e", - "metadata": {}, - "source": [ - "We can check that the model indeed achieves zero loss (near machine precision) on the data" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "id": "910c99a9", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "tensor(4.0276e-16, grad_fn=)" - ] - }, - "execution_count": 3, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "torch.mean((model(dataset['train_input'])-dataset['train_label'])**2)" - ] - }, - { - "cell_type": "markdown", - "id": "35c347d2", - "metadata": {}, - "source": [ - "Assume we have a dataset for which the symbolic formula is only an approximate ground truth, we want to train on the real data to fine tune the model. The current model has the symbolic front turned on and the spline front turned off. So only the affine parameters in the symbolic equations are trainable. Depending on how much expressive power you would like, you may need:\n", - "\n", - "* If you want to keep the symbolic functions, but just train the affine parameters, no need to do anything.\n", - "* If you want to the functions to be trainable, call model.perturb(). If you want only the currently active functions to be trainable while the currently dead functions to remain dead, use mode='minimal'. Otherwise if you want to allow the currently dead functions to be active, use mode = 'all' (by default).\n", - "* If you think the ground truth should be more complicated than the current network, you can expand it first using expand_width and/or expand_depth, and then use model.perturb().\n", - "\n", - "In the following, we present the most complicated case where you want to expand the network first." - ] - }, - { - "cell_type": "markdown", - "id": "63af424e", - "metadata": {}, - "source": [ - "step 1: expand depth, add an extra linear function in the end" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "id": "381b8a03", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.expand_depth()\n", - "model.get_act(dataset)\n", - "model.plot()" - ] - }, - { - "cell_type": "markdown", - "id": "27a934fe", - "metadata": {}, - "source": [ - "step 2: add two addition nodes in layer 1." - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "id": "5c5f92c9", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.expand_width(1, 2)\n", - "model.get_act(dataset)\n", - "model.plot()" - ] - }, - { - "cell_type": "markdown", - "id": "3459fc85", - "metadata": {}, - "source": [ - "step 3: add two multiplication nodes in layer 2, with arity 2 and 3." - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "id": "ec1bfb11", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.expand_width(2, 2, sum_bool=False, mult_arity=[2,3])\n", - "model.get_act(dataset)\n", - "model.plot()" - ] - }, - { - "cell_type": "markdown", - "id": "038ea175", - "metadata": {}, - "source": [ - "step 4: now we perturb all edges (mode='minimal' only perturb the currently active edges, mode='all' perturbs all neurons)." - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "id": "45c8e738", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.perturb(mag=0.1, mode='all')\n", - "model.get_act(dataset)\n", - "model.plot()\n", - "# purple means both symbolic front (red) and spline front (black) are active" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "id": "6feae91b", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.plot(beta=1000)" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.7" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/tutorials/Interp_4_feature_attribution.ipynb b/tutorials/Interp_4_feature_attribution.ipynb deleted file mode 100644 index 72d9ab78..00000000 --- a/tutorials/Interp_4_feature_attribution.ipynb +++ /dev/null @@ -1,314 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "f8ba3161", - "metadata": {}, - "source": [ - "# Input 4 Feature attribution" - ] - }, - { - "cell_type": "markdown", - "id": "6535c1f2", - "metadata": {}, - "source": [ - "How to determine the importance of features? This is known as feature attribution. This notebook shows how to get feature scores in KANs." - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "id": "1d88fa9d", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "checkpoint directory created: ./model\n", - "saving model version 0.0\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "| train_loss: 2.98e-03 | test_loss: 3.06e-03 | reg: 1.94e+00 | : 100%|█| 40/40 [00:17<00:00, 2.30it" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "saving model version 0.1\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "\n" - ] - } - ], - "source": [ - "from kan import *\n", - "from sympy import *\n", - "\n", - "# let's construct a dataset\n", - "f = lambda x: x[:,0]**2 + 0.3*x[:,1] + 0.1*x[:,2]**3 + 0.0*x[:,3]\n", - "dataset = create_dataset(f, n_var=4)\n", - "\n", - "input_vars = [r'$x_'+str(i)+'$' for i in range(4)]\n", - "\n", - "model = KAN(width=[4,5,1])\n", - "model.fit(dataset, steps=40, lamb=0.001);" - ] - }, - { - "cell_type": "markdown", - "id": "8c782f62", - "metadata": {}, - "source": [ - "get feature score" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "id": "2693a8c7", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "tensor([0.8882, 0.5098, 0.1094, 0.0009])" - ] - }, - "execution_count": 2, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "model.feature_score" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "id": "89d836df", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.plot(in_vars=input_vars)" - ] - }, - { - "cell_type": "markdown", - "id": "6182005a", - "metadata": {}, - "source": [ - "prune inputs" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "id": "cac3ea5f", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "keep: [True, True, True, False]\n", - "saving model version 0.2\n" - ] - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model = model.prune_input()\n", - "model.plot(in_vars=input_vars)" - ] - }, - { - "cell_type": "markdown", - "id": "9e7eaa42", - "metadata": {}, - "source": [ - "Let's consider a high-dimensional case. In the case of many inputs but only few are important, the users may want to prune input otherwise too many inputs make interpretable hard." - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "id": "6a5b6ccf", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 9.93e-03 | test loss: 1.37e-02 | reg: 5.89e+00 : 100%|██| 50/50 [08:03<00:00, 9.66s/it]\n" - ] - } - ], - "source": [ - "from kan import *\n", - "\n", - "# let's construct a dataset\n", - "n_var = 100\n", - "\n", - "def f(x):\n", - " y = 0\n", - " for i in range(n_var):\n", - " # exponential decay\n", - " y += x[:,[i]]**2*0.5**i\n", - " return y\n", - " \n", - "dataset = create_dataset(f, n_var=n_var)\n", - "\n", - "input_vars = [r'$x_'+str(i)+'$' for i in range(n_var)]\n", - "\n", - "model = KAN(width=[n_var,10,10,1])\n", - "model.fit(dataset, steps=50, lamb=0.001);" - ] - }, - { - "cell_type": "markdown", - "id": "7bf0deb1", - "metadata": {}, - "source": [ - "Since there are 100D inputs, it's very time consuming to plot the whole diagram and hard to read anything meaningful out of the diagram. So we want to prune the network first (including pruning hidden nodes and pruning inputs) and then plot it." - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "id": "9e0b3dad", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "keep: [True, True, True, True, True, True, True, False, False, False, False, False, False, True, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, True, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False]\n" - ] - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model = model.prune()\n", - "model = model.prune_input()\n", - "model.plot(in_vars=input_vars)" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "id": "6d883067", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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GCxERyY7hQkREsmO4EBGR7BguREQkO4YLERHJjuFCRESyY7gQEZHsGC5ERCQ7hgsREcmO4UJERLJjuBARkewYLkREJDuGCxERyY7hQkREsmO4EBGR7BguREQkO4YLERHJjuFCRESyY7gQEZHsGC5ERCQ7hgsREcmO4UJERLJjuBARkewYLkREJDuGCxERyY7hQkREsmO4EBGR7BguREQkO4YLERHJzlXpAuyBEALNzc0AgObmZgghoFKpFK6KhpMQAo2NjWhvb4evry+CgoJ4DTgZXgPW4Z3LFWg0GqxZswZxcXGYP38+hBCYP38+4uLisGbNGmg0GqVLpCHW+xoICQlBVFQUQkJCeA04EV4DA6MSQgili7BF27dvx+233w6dTgfg4l8tPXr+WvH29saWLVuwcOFCRWqkocVrgHgNDBzDpR/bt2/HokWLIISAJEmX/Ti1Wg2VSoWtW7fywnIwvAaI18DgMFwuodFoMGbMGOj1+iteUD3UajW8vLxQWVmJgICAoS+QhhyvAeI1MHicc7nExo0bodPpLLqgAECSJOh0OmzatGmIK6PhwmuAeA0MHu9cehFCIC4uDuXl5bCmWVQqFaKjo1FWVsbVI3aO1wDxGpAHw6WXhoYGhISEDOrzg4KCZKyIhhuvAeI1IA8Oi/XS3t4+qM9va2uTqRJSCq8B4jUgD4ZLL76+voP6fD8/P5kqIaXwGiBeA/JguPQSFBSEmJgYq8dLVSoVYmJiMHLkyCGqjIYLrwHiNSAPhksvKpUKK1asGNDnZmdncxLPAfAaIF4D8uCE/iW4vp14DRCvgcHjncslAgICsGXLFqhUKqjVV26enp25n376KS8oB8JrgHgNDB7DpR8LFy7E1q1b4eXlBZVK1ec2t+d9Xl5e+Prrr7FgwQKFKqWhwmuAeA0MDsPlMhYuXIjKykq8+uqriI6ONnstOjoar776KqqqqnhBOTBeA8RrYOA452IBIQR27tyJefPm4fvvv8fcuXM5aedkeA0QrwHr8M7FAiqVyjSWGhAQwAvKCfEaIF4D1mG4EBGR7BguREQkO4YLERHJjuFCRESyY7gQEZHsGC5ERCQ7hgsREcmO4UJERLJjuBARkewYLkREJDuGCxERyY7hQkREsmO4EBGR7BguREQkO4YLERHJjuFCRESyY7hchSRJaGpqwrlz5wAA1dXV0Gq1CldFw4nXAPEasB4fc3wZHR0d+OGHH7Bp0ybk5uairq4O7e3t8Pf3R1RUFBYsWIB77rkHiYmJfCKdg+I1QLwGBo7h0o/y8nI88sgj2Lp1KyIiIjB37lykpqZixIgRaGxsRF5eHnbu3Inu7m48/PDDyM7Ohre3t9Jlk4x4DRCvgUESZKa4uFhMmjRJBAYGiqeeekpUV1cLrVYr9u7dK3788Udx4MAB0dHRISoqKkR2drbw8/MTy5YtE1qtVunSSSa8BojXwOAxXHppaGgQs2bNEsHBweLzzz8XBoNBCCHE6dOnRXBwsHB1dRVxcXGiqalJSJIkurq6xJtvvilGjBgh/va3vwmj0ajwT0CDxWuAeA3Ig+HSy9NPPy08PDzE2rVrzS6Q06dPC39/fwFAREVFiaamJtNr3d3d4vHHHxdBQUEiPz9fibJJRrwGiNeAPLha7Cd1dXVYv349MjIycPfdd0OttqxpXF1dkZ2djdDQULz11lsQnMKyW7wGiNeAfBguP8nNzcX58+eRlZUFT09PGI1Gs7ceQog+rwUHB+O2227Djh07oNFolPshaFB4DRCvAfm4Kl2ArSgsLIS7uzvS0tKwcuVKHDt2zPSaXq83rWmvra3FkiVL4Or6n6Zbvnw5Zs2ahddffx1VVVUIDAwc9vpp8HgNEK8B+TBcflJXVwdPT0/4+/vj4MGD2Lt3b78fp9fr8f3335u9b9GiRcjMzIQkSfyLxY7xGiBeA/JhuPzEw8MDkiTBYDBArVb3GWuVJMn035e+plKp0NXVBQBwc3Mb+mJpSPAaIF4D8mG4/CQmJgZarRaVlZV44YUX0NzcbHqturoa2dnZ0Gq1CAsLw+uvvw5fX1/T64mJidi1axe6urqwfv16VFRUIC0tDbGxsRZPCJLy5LgGPD09ERYWpkT5JANeA/JhuPxkxowZcHd3x7Zt2/D888+bhUJ5eblpbNXb2xvz5883G081GAzYunUr/Pz88M0332DdunUAAF9fX0yZMgWpqalITU1FWloaEhMT+VeNjRrsNfD1118jMTER4eHhw147yYPXgHz4Z/VPkpKSkJGRgQ8++ACnT5+2eCmhEAIHDx7Ejh078PTTT+Ps2bOor6/Ht99+iyeeeAJjxozB9u3bce+992LKlCkYMWIE0tPTsWzZMrz55ps4dOgQ9Hr9EP90ZInBXgPfffcdli5dCg8PjyGulIYKrwEZKbO9xjbt2LFD+Pn5iZ///OdCo9EISZKEEJffPCVJkqiqqhKZmZkiPT3dbFPVpVpbW8WePXvEmjVrxG9/+1sxefJk4erqKlQqlXB1dRUpKSni17/+tXjllVfErl27REtLy7D8zGRuKK8Bsg+8BuTBcOnFYDCIp556Snh6eoolS5aI8+fPC0mSxJkzZ0RCQoIIDw8XM2bMMF1wJSUlYv78+SIiIkLs27fP6u+n1+tFbm6uWLt2rVi+fLmYMWOG8PLyEiqVSqhUKhEXFyfuuOMOsXr1arF9+3ZRV1c3BD819Tbc1wDZHl4D8uCpyJfo7OzE888/jxdffBHjxo3D8uXLsWDBAnh4eMDFxQVGoxHt7e344osvsG7dOri5uWHt2rWYN2+eLN/fYDCgpKQEBQUFOHz4MAoKClBYWIi2tjYAwJgxY0zzN1OmTEFaWhrGjBnD475lpPQ1QMrjNTB4DJd+GI1G04Refn4+vLy8EB4eDh8fH7S1teHChQtwcXHB4sWL8dhjjyE2NnZI65EkCeXl5WaBU1BQgIaGBgBAcHBwn8CJiYnhSrVBsLVrgIYfr4HBYbhcgU6nQ15eHvbs2YOysjLo9XoEBQVh8uTJuO666xAbGwsXFxdFahNCoKqqynRn0/N2/vx5AICfn58paHr+NzEx0WxHMV2dLV8DNDx4DQwMw8UKQgibH36qr683C5vCwkKUlZUBADw9PZGSkmIWOCkpKfD09FS4avthD9cADS1eA5ZhuDiB1tZWHD582Cxwjh8/DqPRCBcXFyQlJZkFzpQpU+Dn56d02URkxxguTkqv16OoqMgscI4ePYrOzk4AQFxcnFngpKamIjg4WOGqicheMFzIpLu7GydOnOgzrNbe3g4AGDt2rFngpKWlISIigkMERNQHw4WuSJIknD592mzhQEFBARobGwEAISEhpjubnrfo6GiuVCNycgwXspoQAufPnze7uykoKEBVVRUAYMSIEWZhk5qaigkTJnClGpETYbiQbOrq6kxB07Mf5/Tp0wAurlSbPHmy2SGeEydO5BlMRA6K4UJDqqWlxRQ0Pf974sQJSJIEV1dXJCcnm93hTJ48mSvViBwAw4WGnU6nQ1FRkVngFBUVoaurCyqVCvHx8X2G1YKCgpQum4iswHAhm9Dd3Y3jx4+bBc7hw4dNzywfP368WdikpaUhPDycK9WIbBTDhWyW0WjEqVOn+hzi2dTUBAAICwvrc6ZaVFQUA4fIBjBcyK4IIXDu3Lk+gXPhwgUAgL+/f5/ASUhI4NlPRMOM4UIOoaamps/mz/LycgAXH0k7adIks8BJTk7mSjWiIcRwIYfV3Nzc50y1kpISSJIENzc3JCcnmwXO5MmT4ePjo3TZRA6B4UJORafT4ejRo2YnDhQVFaG7uxsqlQoJCQl9zlQLDAxUumwiu8NwIafX1dWF4uJiszucw4cPQ6fTAQAiIyP7BE54eLjCVRPZNoYLUT+MRiPKysr6nKmm0WgAAKNGjepzplpkZCRXqhH9hOFCZCEhBM6ePdsncGpqagAAAQEBfQInPj6eK9XIKTFciAapurq6z5lqZ86cAXBxpdqUKVPMAic5ORnu7u7KFk00xBguREOgqampz5lqpaWlEELAzc0NKSkpZoEzadIkrlQjh8JwIRom7e3tppVqPYFTXFyM7u5uqNVqTJgwoc+ZagEBAUqXTTQgDBciBXV2dpqtVCsoKMCRI0eg1+sBANHR0X3OVAsLC1O4aqKrY7gQ2Rij0YjS0tI+R9y0tLQAAMLDw02Pme5ZHj1u3DiuVCObwnAhsgNCCFRUVJjd4RQUFKCurg4AMHLkyD5nqsXFxfFx06QYhguRnRJCmK1U6wmes2fPAgB8fX0xefJks8BJSkqCm5ubwpWTM2C4EDmYxsZGs+G0wsJCnDx5EkIIuLu7IyUlxSxwJk2aBC8vL6XLJgfDcCFyAu3t7Thy5IhZ4BQXF8NgMECtViMxMdEscKZMmQJ/f3+lyyY7xnAhclIdHR0oLi42C5wjR46go6MDABATE9PnTLXQ0FCFqyZ7wXAhIhODwWBaqdb7IM/W1lYAwOjRo/sccTN27FiuVKM+GC5EdEWSJKGioqLPmWr19fUAgKCgoD6BExsby5VqTo7hQkRWE0LgwoULpiXRPQsIzp8/D+DiSrVLTxtITEzkSjUnwnAhItk0NDSYDacVFBSgrKwMAODh4YFJkyaZBU5KSgpXqjkohgsRDanW1lYcOXLELHCOHz8Oo9EIFxcX00q1nsCZMmUKRowYoXTZNEgMFyIadh0dHSgqKjILnKNHj6KzsxMAEBsb22ceJyQkROGqyRoMFyKyCd3d3SgpKTELnMOHD6OtrQ0AMGbMGLPASUtLw+jRo7lSzUYxXIjIZkmShNOnT5sFTmFhIRoaGgAAwcHBfQ7xjI6O5ko1G8BwISK7IoRAZWVln8CprKwEAPj5+fU5xHPChAlwdXVVuHLnwnAhIodQX1/f5xDPU6dOAQA8PT1NK9WWLFmCa6+9VuFqHR/DhYgcUk+w9PyKE0KY3jQaDYKDg/t8Tmxs7LDW6MgYLkTkkHQ6Xb/vf+CBBxAREQFfX188/PDDZq95e3sPR2lOgeFCRE7jrbfewowZMzBx4kRs2bIF58+f7xMwJA+GCxE5jdGjR6Oqqsr0/5977jnMnTsXGRkZClblmBguROQUGhsb0dzcbDavIoTALbfcgvfeew9+fn4KVud4GC5E5BQmTZqEo0eP9nl/R0cHbrrpJnz33XfckCkj7jQiIqfQ1dXV7/s9PT3x8ssv46mnnhrmihwbw4WIHF5rayt27dp12dcnT57MxwHIjMNiROTw0tPTcejQoSt+jBCCw2Iy4p0LETk8jUZz1Y9hsMiLdy5E5NBOnToFHx8fhIeHK12KU2G4EJFDGzt2rOnxyzR8GC5E5JC0Wi2+/PJLuLu74/bbb1e6HKfDM6iJyCEVFhaioqICt99+O0pLSy36nISEhCGuynnwzoWIHNKl+1qEEJAkCSqV6rIPE3N3dx+O0pwCV4sRkUNyd3c3e/Pw8MDrr78OHx8fHDp0qM/rDBZ58c6FiJyG0WjEddddhwsXLuDw4cM8T2wI8c6FiJyGi4sLNmzYgLq6Ovzf//t/lS7HoTFciMipxMTE4OWXX8Zbb72FrVu3Kl2Ow+KwGBE5HSEEbr75ZuTn56OoqKjfRx7T4PDOhYicjkqlwltvvYXu7m48+OCD4N/Y8mO4EJFTCg8PxxtvvIFPPvkE7733ntLlOBwOixGRU8vKysLWrVtRVFSEMWPGKF2Ow2C4EJFTa25uxqRJk5CYmIht27ZddoMlWYetSEROLTAwEO+88w527NiBN954Q+lyHAbvXIiIAKxYsQLvvPMOCgsLER8fr3Q5do/hQkSEi6cop6WlYeTIkdizZw9cXXmu72BwWIyICICPjw82btyI3NxcPP/880qXY/d450JE1MuTTz6JF154AQcOHEBaWprS5dgthgsRUS9dXV3IyMhAZ2cn8vLy4OnpqXRJdonDYkREvbi7u2PTpk04ffo0nnzySaXLsVsMFyKiSyQnJ+OZZ57B//zP/2DXrl1Kl2OXOCxGRNQPo9GIefPm4dy5czh8+DBGjBihdEl2hXcuRET9cHFxwfr169HQ0ICHH35Y6XLsDsOFiOgyoqKi8Morr+Cdd97Bl19+qXQ5doXDYkREVyCEwOLFi3Hw4EEUFRUhJCRE6ZLsAu9ciIiuQKVSYd26dZAkCQ888ACf/WIhhgsR0VWEhYXhjTfewGeffYbNmzcrXY5d4LAYEZGF7rnnHnzxxRcoKirC2LFjlS7HpjFciIgspNFoMGnSJMTHx+Pbb7/ls1+ugC1DRGShgIAAvPPOO/jhhx/wj3/8Q+lybBrvXIiIrPTHP/4Rb731FgoKCjBhwgSly7FJDBciIivpdDpMnToVfn5+2LdvH9zc3JQuyeZwWIyIyEre3t7YuHEjCgsLsXr1aqXLsUkMFyKiAUhPT8fjjz+OZ555Bnl5eUqXY3M4LEZENEDd3d3IyMiATqdDfn4+vLy8lC7JZvDOhYhogNzc3LBp0yZUVFTg8ccfV7ocm8JwISIahKSkJKxevRqvvvoqdu7cqXQ5NoPDYkREgyRJEubPn4/y8nIcOXIE/v7+SpekON65EBENklqtxvr169Hc3IyHHnpI6XJsAsOFiEgG48ePx5o1a7BhwwZ8/vnnSpejOA6LERHJRAiB2267DTk5OSgqKkJoaKjSJSmGdy5ERDJRqVRYu3YtAGDZsmVO/ewXhgsRkYxCQ0Oxbt06fPHFF9i4caPS5SjG4YfFhBBobGxEe3s7fH19ERQUBJVKpXRZToV9oDz2wfC79957sWXLFhw9ehTjx493uj5w2DsXjUaDNWvWIC4uDiEhIYiKikJISAji4uKwZs0aaDQapUt0eOwD5bEPlPPKK68gMDAQv/rVr/DKK684Xx8IB7Rt2zbh4+MjVCqVUKlUAoDpred9Pj4+Ytu2bUqX6rDYB8pjHyjvhRdeMGtzZ+oDhwuXbdu2CRcXF6FWq8068tI3tVotXFxcHLJTlcY+UB77QHk9fXCl9nfkPnCoOReNRoMxY8ZAr9dDkqSrfrxarYaXlxcqKysREBAw9AU6AfaB8tgHymMfONicy8aNG6HT6SzqTODikQ06nQ6bNm0a4sqcB/tAeewD5bEPHGi1mBACcXFxKC8vt2ptuUqlQnR0NMrKyhx65cZwYB8oj32gPPbBRQ4TLg0NDQgJCRnU5wcFBclYkfNhHyiPfaA89sFFDjMs1t7ePqjPb2trk6kS58U+UB77QHnsg4scJlx8fX0H9fl+fn4yVeK82AfKYx8oj31wkcOES1BQEGJiYqweq1SpVIiJicHIkSOHqDLnwT5QHvtAeeyDixwmXFQqFVasWDGgz83OznaICTSlsQ+Uxz5QHvvgIoeZ0Ae4ttwWsA+Uxz5QHvvAge5cACAgIABbtmyBSqWCWn3lH02tVkOlUuHTTz91mM60BewD5bEPlMc+gHOfLbZ9+3alS3VY7APlsQ+U58x94JDhIoQQzc3NYs2aNSImJsasQ2NiYsSaNWuERqNRukSHxz5QHvtAec7aBw4159IfIQR27tyJefPm4fvvv8fcuXMdZsLMXrAPlMc+UJ6z9YFDzbn0R6VSmcYxAwICHLozbRX7QHnsA+U5Wx84fLgQEdHwY7gQEZHsGC5ERCQ7hgsREcmO4UJERLJjuBARkewYLkREJDuGCxERyY7hQkREsmO4EBGR7BguREQkO4YLERHJjuFCRESyY7gQEZHsGC5ERCQ7hw8XSZLQ0tICADh9+jTOnj0LrVarcFXOQ5IkNDU14dy5cwCA6upqtv8wYx8ozxn7wGGfRNnR0YEffvgBmzZtwt69e1FVVQUvLy94e3tj7NixWLBgAe655x4kJiY6/EN7lNC7/XNzc1FXV4f29nb4+/sjKiqK7T8M2AfKc+Y+cMhwKS8vxyOPPIKtW7ciIiICc+fORWpqKkaMGIHGxkbk5eVh586d6O7uxsMPP4zs7Gx4e3srXbbDYPsrj32gPKfvA+FgiouLxaRJk0RgYKB46qmnRHV1tdBqtWLv3r3ixx9/FAcOHBAdHR2ioqJCZGdnCz8/P7Fs2TKh1WqVLt0hsP2Vxz5QHvtACIcKl4aGBjFr1iwRHBwsPv/8c2EwGIQQQpw+fVoEBwcLV1dXERcXJ5qamoQkSaKrq0u8+eabYsSIEeJvf/ubMBqNCv8E9o3trzz2gfLYBxc5VLg8/fTTwsPDQ6xdu9asg06fPi38/f0FABEVFSWamppMr3V3d4vHH39cBAUFifz8fCXKdhhsf+WxD5THPrjIYVaL1dXVYf369cjIyMDdd98NtdqyH83V1RXZ2dkIDQ3FW2+9BeF4U1DDgu2vPPaB8tgH/+Ew4ZKbm4vz588jKysLnp6eMBqNZm89hBB9XgsODsZtt92GHTt2QKPRKPdD2DG2v/LYB8pjH/yHq9IFyKWwsBDu7u5IS0vDypUrcezYMdNrer3etKa8trYWS5Ysgavrf3705cuXY9asWXj99ddRVVWFwMDAYa/f3rH9lcc+UB774D8cJlzq6urg6ekJf39/HDx4EHv37u334/R6Pb7//nuz9y1atAiZmZmQJMkh/mJQAttfeewD5bEP/sNhwsXDwwOSJMFgMECtVvcZ65QkyfTfl76mUqnQ1dUFAHBzcxv6Yh0Q21957APlsQ/+w2HCJSYmBlqtFpWVlXjhhRfQ3Nxseq26uhrZ2dnQarUICwvD66+/Dl9fX9PriYmJ2LVrFzw9PREWFqZE+XaP7a889oEy6uvrUVxcjGPHjiEnJwft7e3sAzhQuMyYMQPu7u7Ytm0bnn/+ebO/CsrLy01jm97e3pg/f77ZeKbBYMDXX3+NxMREhIeHD3vtjoDtrzz2wdBqa2vDiRMnUFRUZAqToqIi1NXVQQhhulPp7u5mH8CBVoslJSUhIyMDH3zwAU6fPm3xUj4hBA4ePIjvvvsOS5cuhYeHxxBX6pjY/spjH8ijq6sLRUVFeP/99/HEE09g8eLFiI2NRWBgIDIyMrBs2TK8++67OHbsGLq7uxEaGopJkybhrrvuwq9//WtERETg/fffd/o+cJg7Fw8PD6xcuRI///nPsXLlSqxfvx4jRoy44mFwQghUV1fjkUceQVxcHJYsWTKMFTsWtr/y2AfWMRqNqKioMN2FHDt2DMXFxTh58iQMBgMAYNSoUQgPD0doaCi8vLzQ0tICd3d3jBs3DtOnT0dKSgpcXFxw+vRpNDY2YtSoUZg4cSL++te/On0fOEy4AMB1112Hv/zlL3juuefwwAMP4MUXX8To0aPh4uKCUaNGwdvbG6GhoVCr1RBC4OTJk/jDH/6AM2fO4OOPP7b7pX9KY/srj33QV88v7+LiYrMhrePHj0Ov1wMARo4cieTkZKSlpSEjIwPt7e04e/YsamtrodFoEBsbi/nz5yM9PR1Tp06FVqtFTk4ODh8+DJVKhSlTpuDuu+9GZGQkJElCW1ub0/eBw52K3NnZieeffx4vvvgixo0bh+XLl2PBggXw8PCAi4sLjEYj2tvb8cUXX2DdunVwc3PD2rVrMW/ePKVLdwhsf+U5cx80NzebwqN3mPRMrHt7eyMpKQkpKSlITExEYGAgtFotTp48iby8PNTX10OtViMxMRHTp0/H9OnTMW3aNIwcORI6nQ65ubnIyclBXV0dQkNDkZmZiWnTpsHHx8esjo6ODmRnZ+Pdd99FVFTUVftApVLh7bffxvz585VotiHhcOECXLzd7ZlQy8/Ph5eXF8LDw+Hj44O2tjZcuHABLi4uWLx4MR577DHExsYqXbJDYfsrz9H7QKfToaSkxDSc1RMmVVVVAC4ep5KQkICJEyciOTkZEydORGJiIrRaLfLz85Gbm4u8vDy0tLTA1dUVkyZNMoVJWloa/Pz8AFy86zlz5ozpLkUIgUmTJiEzMxMxMTGXHe46ceIESkpKoNVqsXbt2iv2wc0334ylS5ciJSUFERERw9aGQ80hw6WHTqdDXl4e9uzZg7KyMuj1egQFBWHy5Mm47rrrEBsbCxcXF6XLdFhsf+XZex8YDAaUlZWZwqPnf0+dOmWaLI+OjkZycjJSUlJMQRIXFwchBIqKinDo0CHk5uaioKAAOp0Onp6eSE1NNYXJ5MmT4eXlZfZ99Xo98vLysH//flRXVyM4OBgZGRlIT083Wz7cn8rKShQUFCApKQmxsbEW9YFWq0VVVRVCQ0MRFBQ0ZO05nBw6XC4lhHC4p73ZE7a/8my1D4QQOHv2bJ8hrdLSUtPGwp7J8kvvRnp+2et0OhQWFprC5MiRI+jq6oKvry+mTZtmCpOJEyf2u0lRCIFz584hJycHhYWFMBqNSElJQWZmJuLi4ixqN41Gg7179yIiIgJpaWmX/Vn7+1r19fVoaGjA2LFjrxpg9sCpwoWIlFdXV2e2Qqtncr2trQ0A4O/vbwqPnjuSpKQkBAcHm32dlpYW0xDXoUOHUFxcDKPRiMDAQEyfPh3p6emYPn06EhISrnh31tnZifz8fOTk5JjO9MrMzMSMGTNMw2OW6OjowO7du+Hl5YVZs2ZZfCJyb5WVldBqtYiMjLT75cgMFyIaEm1tbWZ3Ij1BUl9fD+Di0unExETT3UhPmIwZM+ayf9nn5eUhNzcXubm5KC0thRACYWFhSE9PN4VJdHS0RXcZlZWVyMnJQUFBAbq6upCcnIzMzEwkJCRYHQxGoxH79u1DZ2cn5syZM+BgkCQJZ86cgSRJiIqKsukhy6thuBDRoHR2dqK0tLTPCq2zZ88CuHiGVlxcnNlw1sSJExETE3PFX55VVVWmIMnNzUVFRQUAYPz48aYhrvT0dIwePdriob6uri4UFBRg//79OHfuHAICAjBz5kzMmDEDAQEBA26D/Px81NTU4JprroG/v/+Avw4AdHd3o6KiAh4eHhg3bpxNDmNaguFCRBYxGo0oLy83C5CeTYc9zyoZN26cWYBMnDgRCQkJ8PT0vOLX7lmV1TNfkpubiwsXLgAA4uPjTWEyffp0hIaGWl17dXU1cnJykJeXh87OTkyYMAGZmZlISkoa0PBVb2VlZThx4gSmTZsm22ovvV6Ps2fPwt/f326PgmG4EJEZIQQuXLhgtsS3qKgIJ06cQEdHBwAgKCgIEydONFuhlZSUZPFf7ZIk4eTJk2Zh0tjYCLVajeTkZLM9JgO9o+ju7sbhw4eRk5ODM2fOwM/PDxkZGZg5c6ZsGxVrampw6NAhJCQkICEhQZav2UOj0aC6uhqjRo2yy42VDBciJ9bU1NRncr24uNj0PBEfH58+k+vJyckIDQ21arjGYDCguLjYNPmen5+P1tZWuLm5YfLkyaYwSU1NHfRKqdraWtNdik6nQ0JCAjIzM5GcnCzrHEZrayv27NmD0NBQTJs2bUiGr2pra9HU1IRx48b12ahp6xguRE5Aq9WipKTE7PiT4uJi09CTm5ubadNh78n18ePHD2jYqKOjA0ePHjWFSWFhIfR6Pby8vJCammqafJ80adJVh8wsYTAYcPToUeTk5OD06dPw9fXFjBkzMHPmzD6rzOTQ1dWF3bt3w83NDddcc82QTbwLIXD+/Hl0dHQgMjIS7u7uQ/J9hgLDhciBdHd3m2067AmT8vJy0/6K6OjoPvtF4uLiBvWAKq1Wi4KCAtMQ15EjR9Dd3Q0/Pz9MmzbNFCbJyclmj/YdrPr6euzfvx+HDh2CVqtFbGwsMjMzkZKSIuv36U2SJOzfvx/t7e2YM2dOnw2YcjMajThz5gwAICoqatBzRMOF4UJkhyRJMm067H03Ulpaiu7ubgBAREREnyGtCRMmyDK8otFozJYFFxcXQ5IkBAUFma3kiouLk/2veqPRiKKiIuTk5KCsrAze3t5IT09HRkbGgCb7rXXkyBGcP38emZmZGDly5JB/P+DindKZM2fg5eWFsWPHDsv3HCyGC5ENE0Kgrq7ObD6kZ9Nhe3s7ACAgIKDP8SdJSUmyHiNSV1dntiz45MmTAIDw8HDTXUl6ejoiIyOHbOlsY2MjDhw4gAMHDqC9vR3R0dHIzMzE5MmTh+wu5VLl5eU4duwYUlNTh/2XvFarxblz5zBy5Ei7eFIlw4XIRrS0tOD48eN9hrQaGhoAAJ6enkhKSuqzXyQiIkLWX+hCCFRVVZmt5OrZsxIVFWW2LHj06NGyfd/+SJKE4uJi5OTkoLS0FB4eHpg+fToyMzMxatSoIf3el6qvr8eBAwdMZ5kpoampCbW1tYiIiBj0fpqhxnAhGmYdHR2mTYe970jOnTsHAHBxcUF8fDySk5PN7kiio6OHZOJYCIHy8nLT5Htubi5qamoAABMmTDBbFhwSEiL79+9Pc3MzDhw4gIMHD6KlpQXjx49HZmYmpkyZosikdnt7O/bs2YPAwEDMmDFD0Y2N1dXVpjYZ6vmewWC4EA0Ro9GIU6dO9TkCpaysDJIkAbi42/zSIa2EhIQhPVfKaDSitLTULEyam5vh4uKC5ORk0zDX1KlTh/WvY0mScOLECezfvx/Hjx+Hu7s7pk2bhszMTEWPou/u7saePXsAALNnzx7Uwgc59Byw2dXVhcjISMXruRyGC9EgCSFQWVnZZ79ISUmJadNhSEiI2QqtnodVjRgxYsjr6+7uxrFjx0xDXHl5eWhvb4e7u7tpj0l6ejpSU1Ph7e095PVcqqWlBQcPHsT+/fuh0WgwduxYZGRkIC0tTfHDG3uebd/c3Iw5c+bYzF6Tnkc0u7i4DHi5+FBjuBBZobGxsc8KreLiYrS0tAAAfH19+xx/0rPpcLjo9XocOXLEFCaFhYXo6OiAl5cXpk6dagqTlJQUxX55CyFQWlqKnJwcFBcXw9XVFWlpacjMzLSp1VDHjh1DRUUFMjIyhmS/zGB0dnbizJkz8PHxwZgxY5Qupw+GC1E/tFptv5PrPXMR7u7uSEhIMBvOmjhxoiIHDba1tZntMTl69CgMBgP8/f3NnmOSlJQ0bKuqrlTrwYMHceDAATQ2NiIiIgKZmZmYOnWqLJsp5XTu3DkcPnwYKSkpiIqKUrqcfrW1taGyshLBwcHDNh9mKYYLObWuri7TpsPek+vl5eUAAJVKhdjYWLMASU5ORmxsrGJj3U1NTWZ7TE6cOAFJkhAcHGyaL5k+fTri4uJsYrhECIGysjLs378fR48ehVqtRmpqKmbNmmWzp/42NTUhJycH48aNw6RJk5Qu54oaGxtRV1eH0aNHD8swq6UYLuQUep6Tcel+kdLSUhgMBgDA6NGj+0yuT5gwQZF5iN5qa2vNJt9PnTplqrd3mIwfP96mflFrtVocOnQI+/fvR319PUaNGoWMjAxMmzZN8Ta9Er1ej127dmHEiBGYOXOmTQT01VRVVaGtrQ2RkZE2cwfIcCGHIoRATU1Nv0861Ol0AIDAwMA+IZKcnGwTJ8/2nCXVO0zOnz8P4OKz4nvCRM7j3eXUs6w5JycHR44cAQBMmTIFmZmZiIqKsqnw64/BYMDevXthMBgwZ84cuznLq+cx0QaDAZGRkYoPfwIMF7JjGo0Gx48f7zO53tjYCADw8vIy23TYEybh4eE280tOkiScPn3aNMR16NAh1NXVQaVSmfaYpKenY+rUqTY3odybTqdDXl4ecnJyUFtbi5CQEGRmZmL69Ok2s8LqaoQQyM3NRUNDA2bPnm3VI45tgcFgQEVFBdzc3GziLpbhQjZPr9ejpKSkz+NyKysrAVzcdJiQkNBnXsQWHxNrNBpx4sQJs6NUNBoNXFxckJKSYgqTtLQ0mxo/70/PX8s5OTkoLCyEEAIpKSnIzMxEbGys4r/crFVSUoKTJ08iPT192Hf/y6XnIWMjRoxQ/M6W4UI2w2AwmDYd9l6hderUKdOmw8jIyD77ReLi4hTfD3E5XV1dKCoqMgVJfn4+tFotPDw8MGXKFLPnmNjybuveOjo6THcp1dXVCAoKQkZGBmbMmDHoZ7EopaqqCvn5+UhKSkJsbKzS5QxKa2srqqqqEBoaKuv5ctZiuNCw65lXuHS/SElJCTo7OwEAYWFhffaLJCYm2vxQhV6vR2FhoSlMDh8+jM7OTvj4+Jj2mEyfPh0pKSl2M57f4/z588jJyUFBQQEMBgMmTpyIzMxMxMfH291dSm8ajQZ79+5FREQE0tLSlC5HFvX19WhoaMDYsWMVC3yGCw2p+vp6s/mQnjBpa2sDAPj5+fU7uW5ra/Yvp7W1FQUFBabJ96KiIhiNRvj7+5ut5EpMTLS5ITpLdHZ2oqCgADk5OaisrERAQIDpLsXWD060REdHB3bv3g0vLy/MmjXLLlaGWaqyshJarRaRkZGK3NkzXEgWbW1tOHHiRJ/9IrW1tQAubjpMTEzsc6Lv2LFj7eqv3sbGRuTl5ZnCpKSkBEIIhISEYMaMGaYwiYmJsetfVFVVVcjJyUF+fj66urqQlJSEzMxMTJgwwa5/rt6MRiNycnKg1+sxZ84cm1nCK5ee5feSJCky/8hwIat0dXXh5MmTZsNZx44dMz0pT61WX3bToS0sj7RWdXW12Uquns2VY8eONU2+T58+3e5Csj9dXV04fPgw9u3bh3PnzsHf3x8zZ87EzJkzERAQoHR5sisoKEB1dTVmzZrlkD8fcPFcuYqKCnh4eAz7hlWGC/VLkiSUl5ebBUhxcTFOnjxp2nQ4ZsyYPo/LnTBhgt1MTF+qZ/VT7zCpqqoCAMTGxprCZNq0aXa7mqg/1dXV2L9/P3Jzc9HZ2YmEhATMmjULSUlJDnOXcqmysjKcOHECU6dOHfJn0ihNp9Ph3LlzCAgIGNbrluHi5IQQqK6u7jO5fvz4cej1egDAyJEj+6zQSkpKsvu/9iRJQllZmdmy4Pr6eqjVaiQmJpo9x2S4Hmc7XAwGAw4fPoycnBxUVFTAz88PM2bMwMyZMxVdYTQcampqcOjQIcTHx2PChAlKlzMsNBoNqqurMWrUqGHbLMxwcSLNzc39Tq43NzcDALy9vU2bDnuHyahRo+x+yAe4OMZeXFxsdvR8S0sLXF1dMWnSJFOYpKWl2fyqtIGqq6tDTk4OcnNzodPpEB8fj8zMTEycONEuFxxYq62tDXv27EFISAimTZvmENe1pWpra9HU1IRx48YNy8ZWhosD0ul0pk2HvYe0eoZ4XF1dER8f3+dE38jISIcaBuns7ERRUZFp8j0/Px96vR6enp5ITU01hcnkyZPtdijPEgaDAUVFRcjJycGpU6fg4+Njukuxl1V5cujq6sLu3bvh6uqKa665xi7nAAejZwtAR0cHIiMjh3wpPMPFjhkMBtOJvr3vSE6dOoWebu153nfvu5G4uDi722NhCZ1Oh8LCQlOYHDlyBF1dXfD19TU7en7ixIk2+/Q+OTU0NGD//v04ePAgtFotYmJikJmZiUmTJjndL1ZJkrB//360tbXh2muvdeg/Jq7EaDTizJkzUKlUQ/7HJMPFDvRMNF86pFVaWoquri4AwKhRo/rsF0lMTLTbHdOWaGlpQX5+vmnyvbi4GEajEYGBgWYruRISEpxiyAe4+Mvj2LFjyMnJwcmTJ+Ht7Y3p06cjIyMDYWFhSpenmCNHjuD8+fPIzMx0uPkza3V1daGiogLe3t5D+mA2houNqaur6/dE355NhyNGjOh3ct2WDzWUS319vdlzTEpLSyGEQFhYGNLT001hEh0d7VRj6cDF54/03KW0tbUhKioKmZmZmDx5slPcpV1JRUUFioqKMGXKFIwbN07pcmyCVqvFuXPnEBQUNGRPSWW4KKStra3Pib7Hjh1DfX09AMDDw8O06bB3mIwZM8ZpfnFWVVWZreSqqKgAAIwfP940xJWeno7Ro0c7TZv0JkkSjh8/jpycHJSUlMDDw8N0lxIeHq50eTahvr4eBw4cMA0P0380NTWhtrYWERERQ3LaAsNliHV2dqK0tLTPib5nz54FcHHTYVxcnNlekeTkZMTExDjVuLgQAmfOnDHNl+Tm5uLChQsAgPj4eFOYTJ8+fVifR2+LNBoNDhw4gAMHDqClpQXjxo1DZmYmUlNTHXIubaC0Wi12796NwMBAzJgxwyn/ALma6upqtLS0YPz48bLPQzFcZGI0Gk2bDnvuRno2HRqNRgDAuHHjzAIkJSUFCQkJDnfshCWMRiPKysrMwqSxsRFqtRrJyclme0zsfT+NHCRJQmlpKXJyclBcXAx3d3dMnToVmZmZDr8JcCC6u7uxZ88eAMDs2bOdfmjwcoQQOHfuHLq6uhAZGSlrOzFcBqCqqqrP43JPnDhh2nQYFBSEiRMnmk2uJyUlOcRBfwNlMBhMe0wOHTqE/Px8tLa2ws3NDZMnTzY7et6RFyFYq7W1FQcPHsT+/fvR3NyM0aNHIzMzE1OnTrXZxwwoTQiBgwcPorm5GXPmzLGbh5UpxWg0oqKiAi4uLhg/frxsK8gYLgMwZswY1NTUwMfHx+xOpGduJDQ0lLfgl/j3v/+N//7v/4aXlxdSU1NNk++TJk1yyjs3S0iShP/+7/9GZ2cnUlNTkZmZ6RBnmA21iooKHDt2zOn28QxGZ2cnzpw5g8DAQNmGnZ1nUH+Aep673kMIgdtvvx0+Pj5oamrCY4891ucCdvZ//D13cD2EEDh58iR+85vfQKfTYfny5aYjRoQQ0Ov1TrvvoLeeZeU9uru7MWbMGISFhaG7uxv+/v7o7u42+xhnn2PpOeeuhxACGo0GoaGhqK6uxogRI/osQ3emuczL6Xn4Xg83NzeMGjUKWq0WdXV1cHV17TMcbfUdjSCrZGdni0OHDgmj0Shqa2vFwoULhdFoVLosm/bEE0+IY8eOCaPRKBoaGsRvfvMbtpkF/vWvf4mmpiZhNBpFU1OTWLdunTAYDEqXZdMOHjwotFqtkCRJaLVacfDgQSFJktJl2Ty9Xi8uXLggDAaDkCRJ1NbWDvrfqOOc9TEMWltbERISgunTp0OtViM0NBQbNmxAdna20qXZLI1GY1rIoFarERQUhJdeegmPP/640qXZtIqKClx//fUIDAyEWq1GYGAglixZgnfffVfp0mxWZ2cnRo0aBW9vb6hUKnh7eyMlJQUFBQVKl2bTurq60NTUhFGjRsHFxQUqlQohISE4f/78oL4uw8UK8+fP7/NLcdSoUZAkqc9tJl20dOlS/O53vzN7X1BQEPz8/PoMadB/vP32232e5e7n54e4uDi0t7crVJVt27t3b58d515eXggKCjI9PpvMCSFw4cIFhIeHmw3nq1QquLm5mY6RGgiGi4WEEJgzZ06/8yn/+Mc/8Pvf/16BqmybEAI33nhjv2322GOP4aGHHlKgKtvX0dGB3/72t/2+lpmZiddee22YK7J9QojLbjAeP3489u7dq0BVtq+lpeWym5DDw8PR0tIy4K/NcLHQCy+8gBdffLHf19RqNXJycoa5Itu3evVq/OEPf+j3NZVKhXPnzg1zRfbhjTfe6HPX0kOlUiEpKWlQf1E6opKSEsTHx/f7mkqlQkREBNusH7W1tZfd26JSqUyPKR8IhouF/va3v11xFdiPP/6ImpqaYazI9n300UdXbLPNmzejsrJyGCuyD1cbwrn11luRn58/TNXYh4qKiiteaxMmTOAfM5foudu7kjFjxpg2gVuL4WIBIQQ+/PDDK35MaGgorr322mGqyPYZDAZs3Ljxih/j5+eHO++8c5gqsg96vR4rVqy44seoVCq89957w1SR7ZMkCTNmzLjix6hUKhw9enSYKrIPjY2N8Pb2vuLH+Pj4DHhin+FigWeeeQY333zzVT/u0j0xzmzlypWYPHnyVT+Ox3KY+9e//mXRjnIewvgfhYWFFj2aOSIiYhiqsR8NDQ0W7cnz8fHps7/KEgwXC1xtSKzHzp07Oa77k61bt1r0ce+//z7brBdLh1bvueeeAQ9XOBpL5wVSU1O5qrMXS59xFBwcbDqt3RoMFwtYuqopNjYWq1evHuJqbJ8QAi+99JJFHxseHo41a9YMcUX2QQiB+++/36KPdXV15dAYLrbZzJkzLfpYtVrNPS+9WPpsG5VKhVGjRln99Xm22FU0NzfD39/f4qMP3NzcBnQL6UhqamoQFhZm8TE48fHxOHny5BBXZfs0Gg38/f0tbreHHnoIr7zyyhBXZdt0Ot1V5w16++qrrywa4nZ0kiRBpVIN6VFVPGTnKkpLSxEYGGjxx19u6a0zaW1ttWr+6Ve/+tUQVmM/9Hp9n/PFrmTOnDlDWI19kCTJqk2lUVFRQ1iN/ejo6LD60d/WnsLNO5er6O8fu9FohEqluuzdjLMfJthfm3V2dqKlpQXBwcH9tpuztxnQ9xBGADhx4sQVH0Xr7Icw9jeH0t7ejqqqqss+cE+uI+XtWX+/9mtra+Hj43PZR15Ye5fDVr4Kd3d3s7evvvoKfn5++Pbbb/u81vPm7C5tDxcXF9x1111YsWIF3Nzc2GaX4erqavZWXFyMd955B01NTX1e63lzdmq12uxNpVKhoKAA9fX1cHNz6/M6g+WiniGxnre2tjY0Nzf3+9pAh894dVqhtbUVDz30EG6++WbccsstSpdjNzZs2ICTJ0/ik08+sfpW3Fl1dHTgs88+Mz0jiCxTXl6OtrY2zJ492+kffWEpSZJQW1sLPz8/+Pn5yfZ1GeNWWLVqFVpaWri6yQoXLlzAmjVrkJWVhZSUFKXLsRvffPMN9Ho9brvtNqVLsRt6vR4lJSWIjIzko7GtUF9fD0mSEBYWJuvXZbhYqKCgAP/85z+xatUqi5fwEfD000/D19eXh1Ra4fz589izZw9uuOEGqxaTOLuioiK4ubkhMTFR6VLsRkdHB5qamhASEiL7hmYOi1nAaDTigQceQHJy8lWP5qD/2LFjB3bs2IHXXnvtspOEZE6SJHz88ccIDw/H7NmzlS7HbtTU1KCmpgbTpk3jXJQVqqur4eHhMSR/xLAXLPDGG2+gsLAQe/fu5XElFtLpdHjqqadw7bXX4mc/+5nS5diNffv2obKyEn/84x85P2Uhg8GAoqIihIaG8ogXKzQ1NaGjowORkZFDMj/FYbGrqKqqwpNPPon777//qofj0X+89tpraGpqwqpVqzixaqGWlhZs3boVGRkZGD9+vNLl2I3S0lJ0dnZi0qRJSpdiNwwGA+rr6xEYGAgvL68h+R4Ml6v485//DC8vLzz77LNKl2I3SkpKsGHDBvzhD3/o82RAurzPP/8cbm5uWLRokdKl2I3W1laUl5cjISHBqp36zq62thZqtRohISFD9j04LHYF27ZtwyeffIJNmzZxYtVCkiThySefRFRUFO677z6ly7EbJ06cwOHDh5GVlcVfkhYSQuDIkSPw9fVFTEyM0uXYjfb2drS2tiIiImJIh14ZLpeh0+mwYsUK/Nd//ReWLl2qdDl246OPPsLhw4fx3nvvcX7KQl1dXdiyZQvi4+ORlpamdDl24+zZs2hubsasWbO4OdJCkiShpqYGPj4+8Pf3H9LvxXC5jOeeew5VVVXYunUr5wws1NDQgBdffBG33347pk+frnQ5duO7776DRqPBsmXLeK1ZqLOzEydOnMC4ceMsepYLXdTQ0ACDwTAs2ykY9/04fvw4XnrpJTz66KOXfS439bV69Wqo1WqsXLlS6VLsRk1NDX744Qdcf/31Qzr+7WiKi4uhUqmQlJSkdCl2o7OzE01NTQgODh6WI5cYLpeQJAkPPvggoqKi8Mgjjyhdjt3IycnBl19+iUcffZTzUxYSQuDjjz9GUFAQ5s2bp3Q5dqO+vh6VlZVISkriuXRWqKmpgZub27Dd6XFY7BKbNm3C3r178d1338HT01PpcuxCZ2cnVq1ahenTp/O4Eivk5uaivLwcDz74IDf+WUiSJBw9ehRBQUE8KcMKGo0GOp0O48aNG7ahV17RvTQ0NGDlypW4++67MXfuXKXLsRtr165FZWUl3nzzTc4ZWEir1eLLL7/EtGnTEBcXp3Q5dqOsrAx6vR7p6elKl2I3jEYj6urq4O/vDx8fn2H7vhwW6+XRRx+F0WjE3//+d6VLsRsVFRV48803cf/993M5qBW+/PJLSJLE07Wt0N7ejrKyMsTExMh6eq+jq6urA4DLPhNoqPDO5Sd79uzBhg0b8MYbb8h+OqijEkJg1apVGDVqFB588EGly7Ebp0+fxqFDh3DHHXfwl6QVjh49Ck9PTy6ysYJOp4NGo0F4ePiwD70yXHBxn8GDDz6ImTNncuOfFb788kvs378f//u//8v5KQsZjUZ8/PHHiIyMxMyZM5Uux25UVlaioaEBM2fO5JlrFhJCoKamBl5eXoo8goDhAuDll1/GyZMnkZeXx81YFmppacFzzz2HG2+8kc9yt8LOnTtRX1+PP//5z5yfslB3dzeOHTuGiIiIYR/asWeNjY3o7OxEdHS0It/f6X+Tnj59Gs8++yz+9Kc/8WFWVnjppZfQ1dWFxx9/XOlS7EZDQwO2b9+Oa6+9lqf3WuH48eOQJIlP5LRCV1cXGhoaEBQUBA8PD0VqcOpwEUIgOzsboaGh+Otf/6p0OXajoKAAH3zwAR5++GH+JWkhIQS2bNkCPz8/PoLACk1NTTh79iwSExM59GqF2tpauLq6Ijg4WLEanHpY7JNPPsH27dvx2WefDesSPXtmMBjw17/+FSkpKbjrrruULsduHDlyBCUlJbjvvvu48c9CPXtaAgICEBkZqXQ5dqO1tRXt7e0YM2aMosP8ThsuLS0tePjhh3Hrrbfi5ptvVrocu7FhwwaUlZVhy5YtnFi1UEdHBz777DOkpKRwaMcKFRUVaGtrw+zZszk/ZSFJklBbWws/Pz/FVyI67bDYX//6V7S2tuLVV19VuhS7UVVVhddeew1ZWVn8JWmFr7/+Gh0dHTy9wAp6vR4lJSWIiopSZKWTvaqrq4MkSTaxncIp71zy8/Pxr3/9C3//+9/5MCsrPP300/Dz88NDDz2kdCl24/z589i7dy9uueUW/pK0QlFREdzc3DBhwgSlS7EbHR0daG5uRlhYmE087sLpwsVgMOCBBx5ASkoKVqxYoXQ5duO7777D999/j3/84x/w9fVVuhy7IEkSPvroI4SHh3O5thVqampQU1OD6dOn88w1CwkhUF1dDU9PT5s5ONbpeu6NN97A4cOHsW/fPl64FtLpdHjqqadw3XXXYcGCBUqXYzf27t2Lqqoq/PGPf+T+KQsZDAYUFRUhLCwM4eHhSpdjN5qbm9HR0YHIyEibmZ9yqiu+qqoKf/3rX7Fs2TIefGeFNWvWQKPRYNWqVTZz4dq6lpYWfP3118jMzMT48eOVLsdulJaWoquri3vOrGAwGFBfX4/AwEB4eXkpXY6JU4XLQw89BG9vbzzzzDNKl2I3Tpw4gY0bN+IPf/gDxowZo3Q5duOzzz6Du7s7Fi1apHQpdqOlpQXl5eWIj4+Ht7e30uXYjZqaGqjVapt72JzTjAt9/fXX+PTTT7F582ZOrFrIaDTiiSeeQHR0NM9cs8Lx48dx5MgR/OpXv7KpvyRtmRACR48eha+vL0/XtkJ7ezva2towevRom9sa4BThotPpkJ2djXnz5uHOO+9Uuhy78eGHH+Lo0aN4//33OT9loa6uLmzZsgXx8fFITU1Vuhy7cfbsWTQ3N+Oaa67h/JSFJElCTU0NfHx8MGLECKXL6cMpfmM8++yzqK6uxjfffMM5AwvV19fjpZdewi9/+UtMmzZN6XLsxrfffovW1lY88MADvNYs1NnZiRMnTmDcuHEYOXKk0uXYjYaGBhgMBpt9IqfD/4lQXFyMl19+GY8++iif+GeF5557Dq6urnjkkUeULsVuVFdXY+fOnZg/f77NjX/bsmPHjkGlUiEpKUnpUuxGZ2cnmpqaEBwcbLPHCTl0uEiShAcffBAxMTH8JWmFffv24f/9v/+HRx99lPNTFhJC4JNPPkFwcDDmzZundDl2o76+HlVVVUhOTrbZX5K2qKamBm5ubggKClK6lMty6GGxDRs2YN++fdixY4dix07bm87OTqxatQrp6en4+c9/rnQ5duPgwYMoLy/H//k//4fzUxbqOZgyKCiIJ2VYQaPRQKfTYfz48TY99Oqw/wrq6+vx6KOPIisrC9ddd53S5diNN998E1VVVVi3bp1NX7i2pL29HV999RWmTZuG2NhYpcuxG2VlZdDr9ZgxY4bSpdgNo9GIuro6+Pv72/xybYcdFlu5ciWEEPj73/+udCl2o6KiAmvXrsXvf/97xZ5eZ4++/PJLAMCtt96qcCX2o729HWVlZYiNjeVxQlaora0FALt4jpJD3rns2rULmzZtwptvvmkXnWALhBB48sknER4ejuXLlytdjt04deoUcnNzcccdd/CXpBWOHj0KLy8vLrKxgk6nQ0tLC8LDw+1i6NX2K7RSZ2cnHnzwQWRkZODee+9Vuhy78cUXX+DgwYN45513+MQ/CxkMBnz88ceIiorCzJkzlS7HblRWVqKhoQEzZ860uY1/tqrnYEovLy+7WWRj1+EihEBjYyPa29vh6+uLoKAgvPTSSzh9+jQ+/PBDbsbqR39t1traitWrV2PRokWYPXu20iXapP7a7YcffkBDQwN+85vfcH6qH/21WXd3N44dO4bRo0dzVOEy+mu3xsZGdHd329cRTMIONTc3i1dffVXExMQIAKa3cePGCXd3d/GnP/1J6RJtzuXaLCYmRlx//fUiJSVF1NXVKV2mzblcu0VGRoq5c+eK9957T+kSbc6VrrW//OUv4sMPPxR6vV7pMm3O5dotOjpaPPbYY+LkyZNKl2gVuwuXbdu2CR8fH6FSqYRKpTLrhJ43b29vsW3bNqVLtRmWtJmHhwfb7BK81qxnSZt5eXmxzS7hiNeaXYXLtm3bhIuLi1Cr1f02fs+bWq0WLi4udtURQ8XSNlOpVGyzXnitWY/X2sA46rWmEkKIAY6oDSuNRoMxY8ZAr9dDkqSrfrxarYaXlxcqKyvtZgJMbmyzgWG7WY9tNjCO3G52M+O9ceNG6HQ6izoAuLj7V6fTYdOmTUNcme1imw0M2816bLOBceR2s4s7FyEE4uLiUF5eDmvKValUiI6ORllZmdOt5mGbDQzbzXpss4Fx9Hazi3BpaGgY1CmzDQ0NNn3A21Bgmw0M2816bLOBcfR2s4thsfb29kF9fltbm0yV2A+22cCw3azHNhsYR283uwiXwR6r4efnJ1Ml9oNtNjBsN+uxzQbG0dvNLsIlKCgIMTExVo8vqlQqxMTEOOXT7dhmA8N2sx7bbGAcvd3sIlxUKhVWrFgxoM/Nzs626UmvocI2Gxi2m/XYZgPj6O1mFxP6gGOvBx8qbLOBYbtZj202MI7cbnZx5wIAAQEB2LJlC1Qq1VUPpFSr1VCpVPj0009tvgOGEttsYNhu1mObDYxDt9twHwkwWFc6g6fnfT4+PmL79u1Kl2oz2GYDw3azHttsYByx3ewuXIS4eHromjVr+j11dc2aNUKj0Shdos1hmw0M2816bLOBcbR2s5s5l/4IIdDU1IS2tjb4+flh5MiRNj/JpTS22cCw3azHNhsYR2k3uw4XIiKyTXYzoU9ERPaD4UJERLJjuBARkewYLkREJDuGCxERyY7hQkREsmO4EBGR7BguREQkO4YLERHJjuFCRESyY7gQEZHsGC5ERCQ7hgsREcmO4UJERLJjuBARkewYLkREJDuGCxERyY7hQkREsrPJcNFqtQgLC4NKpUJ0dDS6u7v7/biOjg5cc801UKlU8PDwwI8//ji8hdoQttnAsN2sxzYbGKdrN2GjXn31VQFAABDr1q3r87okSeIXv/iFACBUKpV4//33FajStrDNBobtZj222cA4U7vZbLh0dHSIcePGCQBi/PjxorOz0+z1hx56yNRJL730kkJV2ha22cCw3azHNhsYZ2o3mw0XIYR4++23TQ39xhtvmN7fO/3/9Kc/KVih7WGbDQzbzXpss4Fxlnaz6XAxGAwiPj5eABBjx44VnZ2dYsuWLUKtVgsA4pe//KUwGo1Kl2lT2GYDw3azHttsYJyl3Ww6XIQQ4oMPPjCl+X333Sc8PT0FADFnzhzR0dGhdHk2iW02MGw367HNBsYZ2s3mw0WSJDFlyhRTRwAQycnJorm5+aqfe+jQIXHDDTeIgIAA4e3tLaZPny7+/e9/D33RChtom7377rvi97//vZg6dapwd3cXAMT69euHpWZbMJB2q6ysFK+88oq4/vrrxdixY4Wbm5sICwsTt912mzhw4MDwFa+QgbRZc3OzWLFihZg5c6YICwsT7u7uIiIiQsydO1d88sknQpKk4fsBFDKY32u9vfDCC6bP379//9AUO0A2Hy5CCPHPf/7T1IChoaHi3LlzV/2cnTt3Cnd3d+Hr6yt+97vfiT//+c8iKipKABDPPvvsMFStrIG02fjx4wUAERwcbPpvZwoXIaxvt5UrVwoAIiYmRtx7773i0UcfFbfffrtwcXERarVafPjhh8NUuXKsbbOysjLh4+Mj5s2bJ5YtWyYee+wxcd9994nQ0FABQNx///3DVLmyBvJvtLfjx48LDw8P4ePjw3AZiJMnT4rg4GBTJ/j4+Ija2torfk53d7eIiYkRHh4eoqCgwPT+1tZWkZycLFxdXcXJkyeHunTFDKTNhBDiu+++E2fOnBFCCLF69WqnC5eBtNuWLVvE7t27+7x/9+7dws3NTYwcOdJhhjn6M5A2MxgMoru7u8/7W1tbRVJSkgAgjh07NlQl24SB/hvtYTAYxPTp00V6errIysqyyXCxyU2UPerq6vCzn/0MDQ0NCAoKAnBxI9Kzzz57xc/74YcfcPr0adx1111ITU01vd/Pzw9PPvkkDAYD1q9fP6S1K2WgbQYA8+fPx/jx44e6RJs00Ha77bbbMHv27D7vnz17NubOnYumpiYUFRUNSc1KG2ibubi4wNXVtc/7/fz8sHDhQgDAqVOn5C/YRgzm32iPF154AUeOHME777wDFxeXoSp1cJROt8tpb28X06ZNEwCEr6+vyM/PF4sXLxYAhIeHhzh79uxlP/exxx4TAPrdgNTU1CQAiMzMzKEsXxGDabNLOdOdi5zt1tuiRYsEAFFYWChvwTZgKNpMr9eLyZMnC5VK5bAjC3K0W1FRkXB3dxdPPfWUEEKIe+65xybvXGwyXLq7u8UNN9wgAAhXV1fx9ddfCyGEOHLkiFCpVAKAuPfeey/7+T07XPPy8vp9PTg4WISEhAxJ7UoZbJtdylnCRe5263H27Fnh4eEhRo0aJQwGg9xlK0quNmtubharVq0STz75pFi2bJkYO3asACBWrVo1xD+BMuRot+7ubjF16lQxefJk0dXVJYRguFjlvvvuM41FvvXWW2av9QSHi4uLKC0t7ffzr7/+egFAlJWV9ft6dHS0cHd3l71uJQ22zS7lLOEid7sJIURXV5eYM2eOACA2bdokd8mKk6vNKioqzFZLubm5iRdffNFhV4vJ0W5/+9vfhKurq8jPzze9j+FioVWrVpk64Mknn+zz+rFjx0ybje64445+v4azhYscbXYpZwiXoWg3o9FommB1xFVPQ9FmBoNBVFRUiNWrVwt3d3fx85//vN8Jf3smR7sdPnxYuLm5iUcffdTs/QwXC/Q+FuGee+657MctWbJEABcPdutvPNuZhsXkarNLOXq4DEW7SZIk7r33XgFAZGVlOcQu696G6lrr7e9//7sAIP71r38NrlgbIle7TZ48WUyYMKHP6kOGy1Vs3bpVuLq6CgBi/vz5pvHE/pw4cUK4uLgIAOLGG2/s87qzTOjL2WaXcuRwGYp2MxqN4re//a0AIJYuXepw8yxDea31dvjwYavuemydnO3WewjxSm+fffbZEP5Eluu7HlAhN95442Wfb3CpCRMmwGAwXPb1a6+9FqtXr8a3336LJUuWmL327bffmj7G3snZZs5E7naTJAm/+93vsH79etx555149913bXd56AAN17V24cIFAOh3qbI9krPd7rvvvn7fv3v3bpSVleGWW25BSEgIIiMjB1Kq/JROt6HQ3d0toqOjhYeHh9ntZe9NlNZM0DojR75zkZPRaBS/+c1vBHDxwEFHmysYCoWFhUKj0fR5f2Njo+lIlHfffVeByuyTrQ6LOcafB5dwdXXF22+/jYULF2L27NlYunQpRowYgU8//RQVFRV45plnEB8fr3SZNuftt9/G3r17AcC08e/tt982PQlv8eLFWLx4sULV2aannnoKGzZsgK+vL+Lj4/HMM8/0+ZjFixdjypQpw1+cjdqwYQPefvttzJ07F+PHj4ePjw/Onj2LrVu3or29HbfffjvuuusupcukQXLIcAGAuXPnYu/evVi1ahU++ugjdHV1ITk5GU8//TTuvvtupcuzSXv37sXGjRvN3rdv3z7s27cPABAZGclwucSZM2cAAO3t7ZfdYR0ZGclw6eUXv/gFWlpacODAAezevRs6nQ4jR47ENddcg1//+tdYsmQJVCqV0mXSIKmEEELpIoiIyLHY9NliRERknxguREQkO4YLERHJjuFCRESyY7gQEZHsGC5ERCQ7hgsREcmO4UJERLJjuBARkewYLkREJDuGCxERye7/A8qaD6t2OS22AAAAAElFTkSuQmCC\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "# manual prune inputs\n", - "model = model.prune_input(active_inputs=[0,1,2,3,4])\n", - "model.plot(in_vars=input_vars)" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "id": "3452ca73", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "# prune nodes\n", - "model = model.prune_node()\n", - "model.plot(in_vars=input_vars)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "42003070", - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.7" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/tutorials/Interp_5_test_symmetry.ipynb b/tutorials/Interp_5_test_symmetry.ipynb deleted file mode 100644 index 283604c1..00000000 --- a/tutorials/Interp_5_test_symmetry.ipynb +++ /dev/null @@ -1,403 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "f8ba3161", - "metadata": {}, - "source": [ - "# Interp 5: Test symmetries" - ] - }, - { - "cell_type": "markdown", - "id": "6535c1f2", - "metadata": {}, - "source": [ - "Figuring out the symbolic formula represented by a model is ideal but sometimes too challenging. In this case, we might be content with simply figuring out some modular structures or symmetries. These hypothesis testing is partially inspired by AI Feynman." - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "id": "1416f4c8", - "metadata": {}, - "outputs": [], - "source": [ - "from kan.hypothesis import *\n", - "import torch" - ] - }, - { - "cell_type": "markdown", - "id": "6ee16e29", - "metadata": {}, - "source": [ - "Case 1: detect separability.\n", - "* Additive separability: $f(x_1, x_2, ...) = g_1(x_1,x_2) + g_2(x_3) + g_3(x_4,x_5,x_6) + ...$\n", - "* Multiplicative separability: $f(x_1, x_2, ...) = g_1(x_1,x_2)g_2(x_3)g_3(x_4,x_5,x_6)...$\n", - "* General separability: $f(x_1, x_2, x_3, ...) = h(p(x_1,x_2)+q(x_3,\\cdots))$. (Note that general additive separability = general multiplicative separability)" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "id": "87f1e596", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "add separability detected\n" - ] - }, - { - "data": { - "text/plain": [ - "{'hessian': tensor([[0.0000, 0.2976, 0.0000, 0.0000, 0.0000, 0.0000],\n", - " [0.2976, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000],\n", - " [0.0000, 0.0000, 0.0000, 0.2969, 0.0000, 0.0000],\n", - " [0.0000, 0.0000, 0.2969, 0.0000, 0.0000, 0.0000],\n", - " [0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.3237],\n", - " [0.0000, 0.0000, 0.0000, 0.0000, 0.3237, 0.0000]]),\n", - " 'n_groups': 3,\n", - " 'labels': [2, 2, 1, 1, 0, 0],\n", - " 'groups': [[4, 5], [2, 3], [0, 1]]}" - ] - }, - "execution_count": 2, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "f = lambda x: x[:,[0]] * x[:,[1]] + x[:,[2]] * x[:,[3]] + x[:,[4]] * x[:,[5]]\n", - "x = torch.rand(100,6) * 2 - 1\n", - "detect_separability(f, x, 'add')" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "id": "0b63eed4", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "mul separability detected\n" - ] - } - ], - "source": [ - "f = lambda x: (x[:,[0]] + x[:,[1]]) * (x[:,[2]] + x[:,[3]]) * (x[:,[4]] + x[:,[5]])\n", - "x = torch.rand(100,6) * 2 - 1\n", - "detect_separability(f, x, 'mul');" - ] - }, - { - "cell_type": "markdown", - "id": "3933b0dd", - "metadata": {}, - "source": [ - "We could also test separability by providing a group partition as an argument." - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "id": "96110a32", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "tensor(True)" - ] - }, - "execution_count": 4, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "f = lambda x: (x[:,[0]] + x[:,[1]]) * (x[:,[2]] + x[:,[3]]) * (x[:,[4]] + x[:,[5]])\n", - "x = torch.rand(100,6) * 2 - 1\n", - "groups = [[0,1],[2,3],[4,5]]\n", - "test_separability(f, x, groups, 'mul')" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "id": "e81778e9", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "tensor(False)" - ] - }, - "execution_count": 5, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "test_separability(f, x, [[0,1],[2,4],[3,5]], 'mul')" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "id": "3c088092", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "tensor(False)" - ] - }, - "execution_count": 6, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "f = lambda x: torch.sin((x[:,[0]] + x[:,[1]]) * (x[:,[2]] + x[:,[3]]) * (x[:,[4]] + x[:,[5]]))\n", - "x = torch.rand(100,6) * 2 - 1\n", - "test_separability(f, x, [[0,1],[2,3],[4,5]], 'mul')" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "id": "b42e3b47", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "tensor(True)" - ] - }, - "execution_count": 7, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "test_general_separability(f, x, [[0,1],[2,3],[4,5]])" - ] - }, - { - "cell_type": "markdown", - "id": "fbe1d482", - "metadata": {}, - "source": [ - "Case 2: test symmetry.\n", - "* Symmetry means the output $y$ is only dependent on a scalar function of a few variables, but otherwise does not gain more infomration from knowing the individual values of these variables. \n", - "* For example, we say a function has a symmetry $h(x_1, x_2)$ if $f(x_1,x_2,x_3,\\cdots)= g(h(x_1, x_2), x_3,\\cdots)$.\n", - "* To hypothesis test $h$, use test_symmetry_var" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "id": "29640f8f", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "[0,1]: tensor(True)\n", - "[0,2]: tensor(False)\n", - "[2,3]: tensor(True)\n" - ] - } - ], - "source": [ - "f = lambda x: (x[:,[0]] + x[:,[1]]) * (x[:,[2]] + x[:,[3]]) * (x[:,[4]] + x[:,[5]])\n", - "x = torch.rand(100,6) * 2 - 1\n", - "print('[0,1]:', test_symmetry(f, x, [0,1]))\n", - "print('[0,2]:', test_symmetry(f, x, [0,2]))\n", - "print('[2,3]:', test_symmetry(f, x, [2,3]))" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "id": "a392089f", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "100.0% data have more than 0.9 cosine similarity\n", - "suggesting symmetry\n" - ] - } - ], - "source": [ - "from sympy import *\n", - "\n", - "# the function is only dependent on b/c, but not on the individual values of b and c.\n", - "f = lambda x: x[:,[0]] * torch.sqrt(1 + (x[:,[1]]/x[:,[2]])**2)\n", - "input_vars = a, b, c = symbols('a b c')\n", - "symmetry_var = b/c\n", - "x = torch.rand(100,3) * 2 - 1\n", - "test_symmetry_var(f, x, input_vars, symmetry_var);" - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "id": "b8212789", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "26.0% data have more than 0.9 cosine similarity\n", - "not suggesting symmetry\n" - ] - } - ], - "source": [ - "not_symmetry_var = b * c\n", - "test_symmetry_var(f, x, input_vars, not_symmetry_var);" - ] - }, - { - "cell_type": "markdown", - "id": "8c782f62", - "metadata": {}, - "source": [ - "Case 3: Plot tree graph. By applying the hypothesis testing above iteratively, we are able to figure out the tree graph. " - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "id": "42003070", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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doYKdFDh0qK2rDiAcfvrJLvb14IO2ZoEknXaahYJWrQItDSFHGMBezZtn5wS8/bZ9nZlpF1O54QZbOAhAOP3wg3T77bZWQX6+bWvd2kJBixbB1oZwIgxgF845vf12nsaMydDs2fYh5vR0Wyho+HBbNx1AYli1yhYueuQRuw6CJJ1xRqFGjNimVq0qKML7B/g/hAHsYt68rWrZ0pYHTEtz6tMnohtvtHXSASSmlSvtugf/+IdTQYEFgLlzt+q001gKFIYwgF3k5m5WpUr/lbRMS5b0UpMmLBkIJItPP92iY455UlJ9bdrUXNnZWUGXhJAgDGAXmzdvVnZ2FUmFys3NVVYWOwsgWdj8zpaUqtzcDcxv7MAiltiDwqALABBTzHHsijAAAIDnCAMAAHiOMAAAgOcIAwAAeI4wAACA5wgDAAB4jjAAAIDnCAMAAHiOMAAAgOcIAwAAeI4wAACA5wgDAAB4jjAAAIDnCAMAAHiOMAAAgOcIAwAAeI4wAACA5wgDAAB4jjAAAIDnCAMAAHiOMAAAgOcIAwAAeI4wAACA5wgDAAB4jjAAAIDnCAMAAHiOMAAAgOcIAwAAeI4wAACA5wgDAAB4jjAAAIDnCAMAAHiOMAAAgOcIAwAAeI4wAACA5wgDAAB4jjAAAIDnCAMAAHiOMIBd3Hffnm8DSHzMb+xNxDnngi4C4fDaa1LHjptVUJAtSUpPz9VLL2WpbduACwNQbsxv/B7CACRJb7whdewo5ec7dey4Rc5JL79cUZmZEb38snTmmUFXCKCsmN/YF8IANHu21KGDlJcnde4szZghOSd17y7NmiVVqCC98op0xhlBVwqgtJjf2B+EAc+9847Urp20dav95fDss1JGhn1v2zapa1fp5ZelihWlV1+VTj892HoB7D/mN/YXYcBj8+bZjmLzZql9e+m556TMzF1/Jj9f6tJF+ve/pawse9+xRYtg6gWw/5jfKA3CgKfef19q21bKzZXOPrvkcOGe5OVJnTrZ+47Z2dLrr0snnxzfegHsP+Y3Sosw4KH586WzzpI2bZLatJFeekk64IDf/52tW6Vzz7X3HytVsh3Hn/4Un3oB7D/mN8qCMOCZ//7XzhzeuFFq1cpOHKpYcf9+d8sWOxFpzhypShXpzTelE06IZbUASoP5jbIiDHjkk0/sL4X166XTTit5n7A0cnPt/cd586QDD5Teeks6/vhYVAugNJjfKA/CgCcWLrSPDq1bJ516qu0oKlUq231t2iSdc469L1m1qh1abNo0quUCKAXmN8qLMOCBxYul1q2ltWulk06S/vMfqXLl8t3nxo12YtL8+dLBB0tvvy394Q/RqRfA/mN+IxoIA0nu009tR7FmjXTiiXZiUJUq0bnvDRvs/cn//U+qVs3eazz66OjcN4B9Y34jWggDSeyLL+wkop9+svf93nxTOuig6D7GunX2PuWCBVKNGrbDaNw4uo8BYHfMb0QTYSBJffWV7Sh++EE69lg7Eahq1dg81tq1tsNYtEiqVctWPTviiNg8FgDmN6KPMJCEvv7alhVdvdre55s9WzrkkNg+5i+/2AlMixdLtWvbDqNBg9g+JuAj5jdigTCQZL75xnYUq1ZJTZrYiT/VqsXnsX/+2d6//OwzqU4d22Ecfnh8HhvwAfMbsUIYSCLLl9uOYuVKe19vzhx7ny+efvrJDl9+8YWUk2M7jJyc+NYAJCPmN2IpJegCEB0rV9phvJUrpUaN7NBhvHcUkj3m7NlWw4oV9pfEd9/Fvw4gmTC/EWuEgSSwapXtKL79VmrY0CZrrVrB1VOrltXQoIHV1Lq19P33wdUDJDLmN+KBMJDgVq+2HcWyZVL9+vYeYu3aQVdlNbz9tr2nuGyZ7TB++CHoqoDEwvxGvBAGEtiPP9qOYulSqV49m5yHHRZ0VSXq1LGacnKsxjPOsJoB7BvzG/FEGEhQP/9sk+/LL6W6dW1S1q0bdFW7y8mx2urUsZOO2rSx2gHsHfMb8UYYSEBr1tik+/xz+0th9mz7yyGsDj+85PDmZ59Z7b/8EnRVQDgxvxEEwkCCWbvW1gtfskQ69NCSE3nCrkED22HUqmW1n3mmjQVACeY3gkIYSCC//mqT7P/9P6lmTdtRJNKyoEccYTuMGjVsadOzzrK1zwEwvxEswkCCWL/eLim6cKFUvbrtKI48MuiqSu/II6326tXt4idnn21jA3zG/EbQCAMJYMMGqW1b6eOPbQ3y2bOlo44KuqqyO/pou7DKIYfY5VHbtrUxAj5ifiMMCAMht3GjdM450kcf2VXJ3nrL1iRPdMccY5dcrVrVxtaunbRpU9BVAfHF/EZYEAZCLDdXat9e+vBDu075m29Kf/xj0FVFT9OmNqYDD5Q++MDGmpsbdFVAfDC/ESaEgZDavFnq0EF67z2pShXpjTek444LuqroO+44G1uVKtK770rnnmtjB5IZ8xthQxgIoS1bpI4dpblzpcqVpddfl5o1C7qq2DnhBBtj5cp2FbROnew5AJIR85v5HUaEgZDZulU67zz7iE6lStJ//iM1bx50VbHXvLn02mtSdradQNW5s5SXF3RVQHQxv5nfYUUYCJG8POn88+19tqws6d//lk46Keiq4ufkk23MWVl2aLFLFyk/P+iqgOhgfjO/w4wwEBL5+dIFF1h6rlhRevVV6dRTg64q/lq0sLFXrGjPRdeu7DCQ+JjfhvkdXoSBENi2TereXXrlFemAA+y/LVsGXVVwWraUXn655Lno0cOeIyARMb93xfwOJ8JAwLZvl3r2lF58UapQQXrpJalVq6CrCl7r1iXPyaxZUq9e9lwBiYT5vWfM7/AhDASooEC68ELp+eelzEybFG3aBF1VeJx5pvTCC1JGhvTcc9JFF9lzBiQC5vfvY36HC2EgIAUF0iWXSM8+WzIZzj476KrCp21b25mmp0vPPGPPGTsMhB3ze/8wv8ODMBCAwkKpd2/pqadsEjz7rK3OhT1r316aOdOeq6eeki67zJ5DIIyY36XD/A4HwkCcFRZKffpITzwhpaVJM2bYAiT4fR07Sk8/bc/Zv/4l9e0rFRUFXRWwK+Z32TC/g0cYiKOiImnAAOmxx6TUVEvBnTsHXVXi6NJFevJJe+7++U97LtlhICyY3+XD/A4WYSBOioqkQYOkf/xDSkmRpk+3z9iidC64wP7qSkmRpkyRLr+cHQaCx/yODuZ3cAgDceCcdOWV0iOP2Iv88cftc8comx497DlMSZEefli66ip7joEgML+ji/kdDMJAjDknXXONNGmSFIlI06bZx41QPhdeKE2das/pgw9Kgwezw0D8Mb9jg/kdf4SBGHJOuv566f777espU+yjM4iOP/9ZevRRu33ffdKQIewwED/M79hifscXYSBGnJNuuEG6+277+uGH7SMziK4+faTJk+32XXdJw4axw0DsMb/jg/kdP4SBGHBOuvFG6Y477OtJk6T+/YOtKZkNGGCHEiVpwgRpxAh2GIgd5nd8Mb/jgzAQA6NGSePG2e3777ezjBFbl19uhxIlaexY6ZZbgq0HyYv5HX/M79gjDETZ6NH2T7JDiFdeGWw9PrnqKjuUKNnO4tZbg60HyYf5HRzmd2xFnOOAS7SMHWuHDyXpzjvt5CLE3513Sn/9q90eO1YaPjzYepAcmN/hwPyODY4MRMmECSU7ittvZ0cRpCFDSg7j/u1vJe/tAmXF/A4P5ndsEAai4K677MxiSbrttpLbCM6wYSWHEYcOLTnrGygt5nf4ML+jjzBQTvfdV/JXwqhRJX89IHgjRkgjR9rt664r+Tw4sL+Y3+HF/I4uzhkohwceKDmBaMQIO7EoEgm2JuzKOemmm6QxY+zrBx6Qrrgi2JqQGJjf4cf8jh7CQBlNnlzykaJhw+xEFnYU4eScnWQ0frx9PXmyfXYZ2Bvmd+JgfkcHYaAMpkyR+vWz20OG2MlF7CjCzTk7A3niRPt6yhRb3Qz4LeZ34mF+lx9hoJSmTbMXmXN28Yy77mJHkSick669Vrr3XuvZ1KnSpZcGXRXChPmduJjf5UMYKIV//csunlF8ydL77mNHkWics8VLHnjAevfYY9LFFwddFcKA+Z34mN9lRxjYT08+aS+qoiJbGrP4xYbE45ydZPTQQ3bN9CeekHr2DLoqBIn5nTyY32VDGNgPM2ZIvXrZjqJfPztBJYUPZSa0oiJp4EC7RGpqqv3PoFu3oKtCEJjfyYf5XXqEgX147jmpe3epsFDq3dtOTGFHkRyKiqS+fe194tRU6ZlnpC5dgq4K8cT8Tl7M79LhZb8Xzjk9/XSeevRwKiyULrnEUiY7iuSRkmI9vfhi+59B9+5OM2bkiXyc/JjfyY/5XTocGdiLd97ZqlatUiVlqHv3Ak2fnqbU1KCrQiwUFkq9ehXomWfSJG3TnDmFOv30A4IuCzHE/PYH83v/EAb2Yv36zTrooJckRbR+/bmqUiUr6JIQQxs2bNaBB74iqVDr13ei30mO+e0X5ve+pQVdQFilp0vSxZIiSktbH2wxiLm0NEm6SJJTWtqGgKtBrDG//cL83jfCwO8qDLoAxFVB0AUgrpjffmF+/x5OlwEAwHOEAQAAPEcYAADAc4QBAAA8RxgAAMBzhAEAADxHGAAAwHOEAQAAPEcYAADAc4QBAAA8RxgAAMBzhAEAADxHGAAAwHOEAQAAPEcYAADAc4QBAAA8RxgAAMBzhAEAADxHGAAAwHOEAQAAPEcYAADAc4QBAAA8RxgAAMBzhAEAADxHGAAAwHOEAQAAPEcYAADAc4QBAAA8RxgAAMBzhAEAADxHGAAAwHOEAQAAPEcYAADAc4QBAAA8RxgAAMBzhAEAADxHGAAAwHOEAQAAPEcY2Is33ii5/eabwdWB+KDffqHffqHf+0YY2IudXzw730Zyot9+od9+od/7FnHOuaCLCJsff5Tq1XPKz98iSapQoaKWL4+oRo2AC0NM0G+/0G+/0O/9w5GBPZg4UcrPj6h58yw1b56lvLyIJk4MuirECv32C/32C/3ePxwZ+I01a6R69aQtW6RXXpGck849V6pYUVq+XKpWLegKEU302y/02y/0e/9xZOA37rrLXjjNmknt2knt20vHH2/b7r476OoQbfTbL/TbL/R7/3FkYCdr11qKzM2VZs2SOnWy7bNmSZ07S9nZ0ooVUtWqQVaJaKHffqHffqHfpcORgZ3cc4+9cJo2lTp2LNneqZNty821n0FyoN9+od9+od+lw5GB/7NunaXIjRulmTOl88/f9fszZ0oXXCBVrmxp8sADg6gS0UK//UK//UK/S48jA//nvvvshXPMMXYI6be6dJGaNLGfue++uJeHKKPffqHffqHfpceRAUkbNliKXL9eevppqXv3Pf/c009LPXtailyxwlIlEg/99gv99gv9LhuODEj6+9/thXPUUVLXrnv/uQsukBo3tp/9+9/jVR2ijX77hX77hX6XjfdHBjZtshT566/SE09IF174+z//xBPSxRfbGajLl0uVKsWjSkQL/fYL/fYL/S47748MPPigvXCOOELq0WPfP9+jh9Swof3OpEmxrw/RRb/9Qr/9Qr/LzuswsHmzdixLeeONUmrqvn8nLc1+VpLuvNMWr0BioN9+od9+od/l43UYmDzZlqusX3/fh5N2dtFF0uGH2+9Onhy7+hBd9Nsv9Nsv9Lt8vA0DW7dKEybY7b/9TUpP3//fTU+335HsPrZujX59iC767Rf67Rf6XX7ehoFHHpF++knKyZEuuaT0v//nP0t169rlMR99NPr1Ibrot1/ot1/od/l5GQby8qTx4+328OFSRkbp7yMjw35Xkm6/3e4T4US//UK//UK/o8PLMPCPf0irV0uHHSb17l32+7nsMql2bbuvqVOjVh6ijH77hX77hX5Hh3dhID9fGjfObg8bJmVmlv2+MjPtPiS7z23byl8foot++4V++4V+R493YeCf/5RWrZJq1ZL69i3//fXrZ/f13Xd23wgX+u0X+u0X+h09XoWB7dulsWPt9g03SBUqlP8+K1SQhg6122PH2mMgHOi3X+i3X+h3dHkVBh5/3C5IUaOG1L9/9O53wACpenVbzvJf/4re/aJ86Ldf6Ldf6Hd0eRMGCgqkMWPs9l//KlWsGL37rljR7lOyxygoiN59o2zot1/ot1/od/R5EwamT5e++UY65BBp0KDo3/+gQXbfy5ZJTz4Z/ftH6dBvv9Bvv9Dv6PMiDBQWSrfdZreHDJGysqL/GNnZ0vXX2+3bbrPHRDDot1/ot1/od2x4cQnj6dNt/elYX6Zy58tnTp8u9eoVm8fB76PffqHffqHfsZH0RwZ2TpHXXRfb61VXqiRde63dvvVWqagodo+FPaPffqHffqHfsZP0RwZmzLBrVh94oKXIKlVi+3gbNtj62Bs22GN36xbbx8Ou6Ldf6Ldf6HfsJPWRgaIiS3SSNHhw7F84kj3G4MF224c0GSb02y/02y/0O7aS+sjAc89JXbtKlStbijzooPg87rp1liY3bbIaunSJz+P6jn77hX77hX7HVtIeGXBOGj3abl99dfxeOJI91tVX2+3Ro60WxBb99gv99gv9jr2kPTLw4ovSeefZR0SWL5cOPji+j792raXJzZutlo4d4/v4vqHffqHffqHfsZeURwZ2TpFXXhn/F45kj3nllXY7mdNkGNBvv9Bvv9Dv+EjKIwOvvip16GDLSi5fLlWrFkwdP/8sHX64tGWL1dSuXTB1JDv67Rf67Rf6HR9Jd2Rg5xR5xRXBvXAku9jF5Zfb7VtuSc40GTT67Rf67Rf6HT9Jd2Tg9deltm3tUpTLl9sVrYL044+WJvPyrLazzgq2nmRDv/1Cv/1Cv+MnqY4M7JwiBw0K/oUjSTVrSgMH2u1kfa8pKPTbL/TbL/Q7vpLqyMDbb0tnnCFlZtoVrQ49NOiKzOrVUv36Un6+1diqVdAVJQf67Rf67Rf6HV9JdWSgOEX27x+eF45ktfTrZ7eLa0T50W+/0G+/0O/4SpojA3PnSqefLqWn2zWo69QJuqJdffed1KCBtH271XraaUFXlNjot1/ot1/od/wlzZGB4jWr+/QJ3wtHspouu8xuF9eKsqPffqHffqHf8ZcURwbef1869VQpLU1autSuQR1Gy5dLRxwhFRRYzSefHHRFiYl++4V++4V+ByMpjgwUJ7NLLw3vC0ey2v78Z7udLGkyCPTbL/TbL/Q7GAl/ZOCjj6Q//UlKTZW+/NLexwmzZcukI4+UCgut9hNPDLqixEK//UK//UK/g5PwRwaKE9nFF4f/hSNZjRddZLeTIU3GG/32C/32C/0OTkIfGfjkE6lZMyklRfr8c6lRo6Ar2j9ffikdfbRUVGRjOO64oCtKDPTbL/TbL/Q7WAl9ZKA4ifXqlTgvHMkOK/XsabcTPU3GE/32C/32C/0OVsIeGVi0SDr2WCkSkT79VDrqqKArKp3PPpOOOcaWs1y0SPrjH4OuKNzot1/ot1/od/AS9sjAbbfZf7t3T7wXjmSHlbp1s9vFY8He0W+/0G+/0O/gJeSRgSVLpD/8wW4vXmyJLBEtXmwJMhKx202aBF1RONFvv9Bvv9DvcEjIIwNjxth/u3ZN3BeOZBPg/PPt0FLxmLA7+u0X+u0X+h0OCXdk4Isv7JCMc9KCBfY+UyJbuNDOPo1E7H2nxo2Drihc6Ldf6Ldf6Hd4JNyRgTFj7IVz3nmJ/8KRbAydOtmYxo4Nuprwod9+od9+od/hkVBHBpYutaRVVCT973/2mdRk8L//2cpVKSn2mdWGDYOuKBzot1/ot1/od7gk1JGBsWPthdOhQ/K8cCTphBOk9u1tbImWJmOJfvuFfvuFfodLwhwZ+OYbW4iisFD68ENbvzqZfPihXfUqNdUS8+GHB11RsOi3X+i3X+h3+CTMkYFx4+yF07Zt8r1wJOmkk6Szz7YxjhsXdDXBo99+od9+od/hkxBHBlassPddCgqk996TTjkl6Ipi4733pBYtpPR0S5M5OUFXFAz67Rf67Rf6HU4JcWTg9tvthdOmTfK+cCTp1FOlM86Qtm+Xxo8Puprg0G+/0G+/0O9wCv2RgVWr7DKR27ZJ77wjtWwZdEWx9c47UqtWUkaGva9Wu3bQFcUX/Q66ovii30FXFF/0O+iK9i7URwaccxozZrO2bdusli1d0r9wJOn006XTTnPatm2zxozZrJBntaii3/Q72dFv+h1WoT4ysGzZZjVsmC1JevnlXHXokBVwRfHx8sub1bGjjfvrr3PVoIEf46bf9NsH9Jt+h1HIjwyU3D799ODqiLdWrUpuhzeqRR/9pt8+oN/0O4xCHQZq1Sq5HYkEV0e87TzWnZ+DZEe/6bcP6Df9DqNQhwEAABB7hAEAADxHGAAAwHOEAQAAPEcYAADAc4QBAAA8RxgAAMBzhAEAADxHGAAAwHOEAQAAPEcYAADAc4QBAAA8RxgAAMBzhAEAADxHGAAAwHOEAQAAPEcYAADAc4QBAAA8RxgAAMBzhAEAADwXcc65oIvYG+ectmzZIkmqWLGiIpFIwBXFB+Nm3D5g3IzbB4ky7lCHAQAAEHu8TQAAgOcIAwAAeI4wAACA5wgDAAB4jjAAAIDnCAMAAHiOMAAAgOcIAwAAeI4wAACA5wgDAAB4jjAAAIDnCAMAAHgukDCwefNm1ahRQ5FIRPXr19f27dv3+HN5eXlq0aKFIpGIMjMzNWfOnPgWGmWMm3HvCeNm3ImMcSfJuF1A7rnnHifJSXIPP/zwbt8vKipyF1xwgZPkIpGIe/LJJwOoMvoYN+PeGeNm3MmAcSf+uAMLA3l5ea5u3bpOksvJyXH5+fm7fP/aa6/d8STfeeedAVUZfYybce+McTPuZMC4E3/cgYUB55x79NFHdzxRkyZN2rF957Q1ePDgACuMDcbNuJ1j3Iw7uTDuxB53oGGgoKDANWrUyElyderUcfn5+W7mzJkuJSXFSXLdunVzhYWFQZYYE4ybcTNuxp1sGHdijzvQMOCcc0899dSO9NS3b19XoUIFJ8m1bNnS5eXlBV1ezDBuxs24GXeyYdyJO+7Aw0BRUZE79thjdzyRklyTJk3cunXrfvf3Hn/8cTdgwADXrFkzl5GR4SS5qVOnxqXmaCjLuFetWuXuvvtud9ZZZ7k6deq49PR0V6NGDXf++ee7Dz/8MH7Fl0NZxr1u3Tp31VVXuZNOOsnVqFHDZWRkuEMPPdS1bt3aPfvss66oqCh+Ayijsr7Of2v8+PE7fv+DDz6ITbFRVNZx5+Tk7PI7O/8bOHBgfIovh/L2+7nnnnNnnnmmq1q1qqtQoYKrV6+e69mzp1u5cmVsCy+nsox76tSpe+118b8zzjgjfoMog7L2u6ioyM2cOdO1atXK1axZ0x1wwAGuUaNGbsCAAW7ZsmXxKf7/BB4GnHPugQce2PEEVq9efb9e8MU7i0MOOWTH7UQKA86Vftw33HCDk+QaNGjg+vTp44YNG+a6du3qUlNTXUpKinv66afjVHn5lHbcS5cudVlZWa5NmzZu4MCBbvjw4a5v376uevXqTpLr379/nCovn7K8znf22WefuczMTJeVlZUwYcC5ss/vKlWquJEjR+7276WXXopD1eVXlnEXFRW5AQMG7JjnV1xxhbvhhhvcJZdc4urWrevmzZsXh8rLp7TjXrBgwR77PHLkSNekSRMnyY0fPz5O1ZddWfp93XXXOUmuVq1abtCgQW7o0KGubdu2LhKJuEqVKrnFixfHoXITeBj46quv3CGHHLLjSczKynI//fTTPn/vjTfecMuXL3fOOTdu3LiECwNlGffMmTPd3Llzd9s+d+5cl56e7qpWrRr6Q1JlGXdBQYHbvn37bts3btzojj76aCfJLVmyJFYlR0VZX+fFCgoK3IknnuiaN2/uLr744oQJA2Udd05OjsvJyYl9gTFS1nHfe++9TpL7y1/+4goKCnb7/p7mQZiU93W+s/z8fHfwwQe7tLQ09+OPP0a50ugqy7h/+OEHl5KS4urVq+c2bNiwy/fuvvtuJ8lddtllsSx7F4GGgZ9++snVr1/fSXIHH3zwjify6quvLtX9JFoYiNa4d3b22Wc7Se6///1vFCuNrliMu/ijOy+88EIUK42uaIx7zJgxLiMjwy1ZssRdeumlCREGyjPuRA4DZR33li1bXNWqVV39+vVD/z/9PYn2/C5+H75z585RrjS6yjruDz74wElyF1100W7f++qrr5wk16FDh1iVvZvAwkBubq474YQTnCSXnZ3tPv74Y9e5c2cnyWVmZroVK1bs930lUhiI5rh31qFDByfJLViwILoFR0ksxr1161bXtGlTF4lE3FdffRWDqssvGuNevHixy8jIcKNHj3bOuYQIA+Udd05OjqtZs6abNm2aGzNmjHvwwQfdwoUL41R92ZVn3LNmzXKS3HXXXefy8vLczJkz3bhx49ykSZPc0qVL4ziK0ovF/D7rrLOcJPfyyy/HoOLoKM+4f/nlF5eRkeHq1avnNm7cuMv3ij+WOHHixFgPYYdAwsD27dtdu3btnCSXlpbmXn31Veecc4sWLXKRSMRJcn369Nnv+0uUMBDtcRdbsWKFy8zMdDVr1tzjocWgRWvc69atcyNHjnQ33XSTGzhwoKtTp46T5EaOHBnjEZRNNMa9fft216xZM9e0aVO3bds251z4w0A0xr23EwjPOecct2bNmngMo9TKO+6bbrrJSXJDhw51Rx555C7jTklJcddff328hlIqsdivLV++3KWkpLjatWuHcp/mXHTGfccddzhJrnbt2u7yyy93Q4cOde3atXPp6eluwIABO+Z8PAQSBvr27bvjRf7II4/s8r3ipRtTU1Pdl19+uV/3lyhhINrjds65bdu2uZYtWzpJ7rHHHot2yVERrXF/++23u+wg09PT3R133BHaTxNEY9y33HKLS0tLcx9//PGObWEPA9Ea95w5c9yaNWvcxo0b3Ycffrhjx3vyySeHsuflHffAgQN3/MyJJ57oPvroI7dp0yY3d+5c17hxYyfJPfjgg/EYSqnEYr82cuRIJ8mNGDEi2uVGTbTG/cQTT7js7Oxd9m2nnHLKHs8Pi6W4h4HiJktyN910027fX7JkyY7FGrp3775f95kIYSAW4y4sLNxxMllYz6iPxbgLCgrct99+68aNG+cyMjJcly5dQvceazTGvXDhQpeenu6GDRu2y/Ywh4FY9LtYYWGha9GiRSgPHUdj3P3793eS3AEHHOC+//77Pf5+gwYNYlJ/WcVqv1a3bl0XiUTcN998E+2SoyJa47711ltdenq6GzNmjPvuu+9cbm6ue/fdd13z5s1damqqmzlzZiyHsYu4hoGdl2289NJL9/pzPXv2dJJd2GF/3gMPexiIxbiLiopcnz59nCR38cUXh3KFq1j1e2cTJkwI3V9M0Rp306ZNXePGjXf7hEhYw0A8+j1lyhQnyQ0fPrx8xUZRtMY9ZMgQJ8mddtppe/z9hg0bOkmlXpsiVmLV79dee81Jcm3atIlesVEUrXG/9dZbTpK79tprd/vezz//7LKzs13dunWjWPnvi1sYeOWVV1xaWpqT5M4888zffS/k888/d6mpqU6Sa9++/T7vO8xhIBbjLiwsdJdddpmT5Hr16hXK99Ri2e+dLVy4sEx/ZcZKNMe9p/fM9/Tv+eefj+GI9k+8+l18kt0111xTzoqjI5rjfuSRR5wk17Fjxz3+fvGJaqtXr45a/WUVy35369bNSQrlFf6iOe7iNQZefPHFPf7+ySef7CTF7RyZNMVJ+/bt93q9599q3LixCgoKYlxRfER73EVFRerXr5+mTp2qHj166PHHH1dqamo0So2qePV79erVkqS0tLi9lH9XNMfdt2/fPW6fO3euli5dqk6dOqlatWqqV69eWUqNqnj1e/78+ZIUijFL0R1369atJUmff/75bt/bvn27vv76a2VlZalatWplKzaKYtXvtWvXatasWapataq6dOlSnhJjIprj3rZtmyRpzZo1e/x+8fbMzMxSVllGcYkcMRbmIwPRVFhY6Hr37u0ku/hF2N4nj5UFCxa49evX77Z97dq1O5YAffzxxwOoLBhhfZsgWj799NM9HgqfN2+eq1ChQrk+ght2xeuF/PaEtNGjR+94SzCZFS+2U561RxLFk08+6SRbtvi3+7dp06Y5Sa5Zs2Zxqyccf06VwaOPPqp3331XkrR48eId2+bMmSNJ6ty5szp37hxQdbExevRoTZs2TdnZ2WrUqJFuu+223X6mc+fOOvbYY+NfXAxNmzZNjz76qFq3bq2cnBxlZWVpxYoVeuWVV5Sbm6uuXbvqwgsvDLpMRMmMGTM0YcIEtWnTRvXq1VNmZqaWLFmi119/XSkpKXrooYdUt27doMuMiQcffFCnnHKK+vfvrxdeeEGNGzfWggULNHv2bOXk5OiOO+4IusSYmjJliiSpX79+AVcSe926ddPkyZM1Z84cHXHEEerUqZMOOuggLVq0SG+88YYyMzN1zz33xK+guMWOKCv+62hv/8L62fPy2NeYlaRHR+bNm+d69+7tGjdu7CpXruzS0tJc9erV3TnnnOOmT58eyo+ZxVKyHxmYM2eO6969u2vYsKGrVKmSS09Pd4cddpjr2bOnmz9/ftDlxdzKlStd7969Xc2aNV16erqrU6eO+8tf/lLmZX0Txfz5850k17x586BLiZu8vDw3fvx4d/zxx7uKFSu6tLQ0V7t2bXfhhRfG9boEzjkXcc65+EUPAAAQNilBFwAAAIJFGAAAwHOEAQAAPEcYAADAc4QBAAA8RxgAAMBzhAEAADxHGAAAwHOEAQAAPEcYAADAc4QBAAA8RxgAAMBz/x+DuVZZyqpGVAAAAABJRU5ErkJggg==\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "f = lambda x: ((x[:,[0]]**2 + x[:,[1]]**2) ** 2 + (x[:,[2]]**2 + x[:,[3]]**2) ** 2) ** 2 + ((x[:,[4]]**2 + x[:,[5]]**2) ** 2 + (x[:,[6]]**2 + x[:,[7]]**2) ** 2) ** 2\n", - "x = torch.rand(100,8) * 2 - 1\n", - "plot_tree(f, x, style='tree') # by default, style = 'tree'" - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "id": "8104aede", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "f = lambda x: ((x[:,[0]]**2 + x[:,[1]]**2) ** 2 + (x[:,[2]]**2 + x[:,[3]]**2) ** 2) ** 2 + x[:,[4]]**2\n", - "x = torch.rand(100,5) * 2 - 1\n", - "plot_tree(f, x, style='tree') # by default, style = 'tree'" - ] - }, - { - "cell_type": "code", - "execution_count": 14, - "id": "8b0c7563", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "plot_tree(f, x, style='box')" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "1333bed5", - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.7" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/tutorials/Interp_6_test_symmetry_for_trained_models.ipynb b/tutorials/Interp_6_test_symmetry_for_trained_models.ipynb deleted file mode 100644 index 62180029..00000000 --- a/tutorials/Interp_6_test_symmetry_for_trained_models.ipynb +++ /dev/null @@ -1,353 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "f8ba3161", - "metadata": {}, - "source": [ - "# Interp 6: Test symmetries for trained models" - ] - }, - { - "cell_type": "markdown", - "id": "6535c1f2", - "metadata": {}, - "source": [ - "In the previous notebook, to make target functions clear, we were inputing the symbolic formula. In practice, we want to apply symmetry testing and tree graph plotting to a trained model." - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "id": "1416f4c8", - "metadata": {}, - "outputs": [], - "source": [ - "from kan.hypothesis import *\n", - "from kan import *" - ] - }, - { - "cell_type": "markdown", - "id": "2a438584", - "metadata": {}, - "source": [ - "Example 1" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "id": "0b63eed4", - "metadata": {}, - "outputs": [], - "source": [ - "f = lambda x: x[:,[0]] + torch.sin(torch.pi*x[:,[1]]) + x[:,[2]] ** 2\n", - "dataset = create_dataset(f, n_var=3)\n", - "model = KAN(width=[3,5,5,1], grid=5, k=3)" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "id": "f4a151b6", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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0004TAxwx3377bVVV7dq1628/Ge60004TAxwxixcvrt9++63ef//92rhxYw0PD9fMmTNr/vz5ddNNN9XSpUv9oaLD4MwAAIRzPgUAwokBAAgnBgAgnBgAgHBiAADCiQEACCcGACCcGACAcGIAAMKJAQAIJwYAINz/AOxX+Ig3kiU2AAAAAElFTkSuQmCC\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model(dataset['train_input'])\n", - "model.tree()" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "id": "7377c9b3", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 7.77e-04 | test loss: 1.13e-03 | reg: 2.02e+01 : 100%|██| 50/50 [01:03<00:00, 1.27s/it]\n" - ] - } - ], - "source": [ - "model.fit(dataset, steps=50);" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "id": "bd0c7fad", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.tree()" - ] - }, - { - "cell_type": "markdown", - "id": "0be943ea", - "metadata": {}, - "source": [ - "Example 2" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "id": "62cdea16", - "metadata": {}, - "outputs": [], - "source": [ - "f = lambda x: x[:,[0]] * x[:,[1]] * x[:,[2]] / x[:,[3]]\n", - "dataset = create_dataset(f, n_var=4, ranges=[0.5,2])\n", - "model = KAN(width=[4,5,5,1], grid=5, k=3)" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "id": "675773b6", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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wJWZmZmrz5s21bdu2uuaaa+p3v/udEDiO7d69u77//e/XSSed9LnjH374Yf3qV7+qqqq1a9f2YzR6YGJi4qjHf/7zn9dbb71Vv/zlL+uCCy5Y4Kn6QwzMw8TERO3cubOqavYFZyYmJmr79u1VVbV+/frZ57ny7XbvvffWtm3bamxsrM4888y67777jviY9evX17nnnrvww9F127Ztq4mJiVqzZk2tWLGiRkdHa+/evfXCCy/Uxx9/XFdffXX97Gc/6/eY0HViYB527txZzzzzzOeO7dq1q3bt2lVVVStXrhQDx4n33nuvqqo+/vjjL3w1s5UrV4qB48SGDRvqo48+qpdffrl27NhRU1NTdfLJJ9fq1avruuuuq2uvvbY6nU6/x4Su67TWWr+HAAD6J/LliAGA/xIDABBODABAODEAAOHEAACEEwMAEE4MAEA4MQAA4cQAAIQTAwAQTgwAQLj/A6y/OD/NDkGjAAAAAElFTkSuQmCC\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model(dataset['train_input'])\n", - "model.tree()" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "id": "f65dc471", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 1.49e-03 | test loss: 3.76e-03 | reg: 2.94e+01 : 100%|██| 50/50 [01:17<00:00, 1.55s/it]\n" - ] - } - ], - "source": [ - "model.fit(dataset, steps=50);" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "id": "d4612e9d", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.tree()" - ] - }, - { - "cell_type": "markdown", - "id": "38f93d8e", - "metadata": {}, - "source": [ - "Example 3" - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "id": "350537db", - "metadata": {}, - "outputs": [], - "source": [ - "model = KAN(width=[4,2,1,1], grid=3, k=3, seed=2)\n", - "f = lambda x: torch.exp((torch.sin(torch.pi*(x[:,[0]]**2+x[:,[1]]**2))+torch.sin(torch.pi*(x[:,[2]]**2+x[:,[3]]**2)))/2)\n", - "dataset = create_dataset(f, n_var=4)" - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "id": "19a6fa5d", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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TI3vfSUnWiOjpp+36M89IDz1k2wZA6RAGgFLKzpZ697YP/0DARgNGjYr8N1LPO7P9sF9Ob08c6XHGQMBGZ15/3S6/8YbNcsjOjmwdQKzjMAFQCkeO2LHqFSukChWkd96xY9Z++NvfpOuvt37++/fb2fV+OHLEZjPk5FhNv/qVP3W8954t23zypNSqlfT++9JFF/lTCxBrGBkASmj3bpvGtmKFNfdZvNi/ICAVjgp07+5fEJDsA/f22+1yOBYvKqlevawZUdWqNu2xVStbRwFA8QgDQAls2mSNbzZutL7/wTn2fjl50lb3kyLTfrg4wRreeccWZ/LLzTfbtklPt6ZEzZvbtgNwfoQBoBhr1thJcjt32qqAq1dLjRr5W9PChbb+QXp64aJBfurYUbrsMqtp4UJ/a2nUyLZR3bq2zTIypLVr/a0JiHaEAeA8FiyQ2raVDh2SmjWzlri1a/tdVeG8/gEDIj+D4VySkqwWKbI9B4pSp460apXUtKktbNS2rf8hBYhmnEAIFGHKFOm++2yqWufOdoJaSorfVdmH2+WX23D8+vXSv/yL3xWZ9eulxo3txMq9e605kN8yMwvPJUhMtCWRo+GwChBtGBkAfsLzpDFjbMnh/HybOvfBB9ERBCTpL3+xINC4cfQEAcmG5xs1svMZ/vIXv6sxqam2fsGgQbYtBw+WXnop8lMggWhHGABOU1AgDR8ujRhh13/7WxshSE72tawzRENvgaKc3nMgWiQn2zZ84gm7/rvfSY89ZtsagOEwAfB/cnLsm+PMmXb91VctGESTTZuka66xIe/du+2kvWiyb58tJpSfb7VefbXfFZ3p1Velxx+3y/36WUioUMHXkoCowMgAIOnYMemWWywIJCdba91oCwJS4cl5nTtHXxCQbHZDp052ORpOJPypxx6Tpk2zEx5nzLBt/uOPflcF+I8wAOft32/z05cutfMCPvpI6t/f76rOVlAgTZ1ql6P5JLhgbVOnRudQ/IAB0vz5tq2XLLFtv3+/31UB/uIwAZy2dat9k926VUpLs6mE11/vd1XntnSp1L69dfzbu1eqVMnvis4tO9tGCI4etZrbtvW7onP74gsbGfj+e1vkadEifxZ7AqIBIwNw1rp11lVw69bCeenRGgSkwmH3O++M3iAgWW133mmXo/FQQVDTprbN69Sx10CLFvaaAFzEyACctGSJ1KOHzUNv3Nga0qSn+11V0TIzrb6sLPsAa9HC74rOb9Uq6/yXkmInFaam+l1R0fbtk7p0kb76yuqcN09q187vqoDIYmQAzpk5U+ra1T5g27aV/vrX6A4CkjRnjgWBq66yfvvRrkULG3LPypLmzvW7mvNLT7fXQJs29pro0qVwRgngCsIAnDJ2rE0py821de8XLLBV7qLd6b0FAgF/aymJQCA6ew4UpWpVGx3q3dteG/36SePG+V0VEDkcJoATPE968knrLChJjzwivfaalBADcXjnTlsPwfOkbduiY22Ekti2TbrySgsGO3ZINWv6XVHx8vOlYcOkP/7Rro8YIb3wQmwEMKA8YmBXCJRPbq61Fg4GgRdesBGCWAgCks2L9zxbMjlWgoBkJ+a1amW1T5vmdzUlk5hoIwLPP2/XR4+Whgzxd1lmIBJiZHcIlE1WltS9uw1VJyZKkyfbCEGsfNPzvMIz8qO5t0BRgjW//XbsrAcQCEhPPWWLGiUmWpfCHj2k48f9rgwIHw4TIG4dPCjdequtZV+5svTuu3Y9lqxdK914o9W/b19snN9wumPHrFNidrY9lmbN/K6odD780M4tyc627fDRR9Ill/hdFRB6jAwgLu3YYVPb1q61pXSXLo29ICAVjgr06BF7QUCymnv0sMvR3HOgKLfdZq+diy+W1qyx19TOnX5XBYQeIwOIOxs2WO/+PXvspLVFi2xxn1iTkyNVry4dOmSPoWNHvysqm0WLbHtUq2adE2NxYaB//MM6Ve7aZdvk44+l667zuyogdBgZQFxZvlxq2dKCQMOG0urVsRkEJOuff+iQffjEchOc9u2lyy+3xzJ/vt/VlE2DBtLnn9v/9+yx19iKFX5XBYQOYQBxY+5c+/Z89KgN565YYcvpxqrgsPrAgXYiW6xKTLTHIMXmoYKgGjXsNXXTTfYa69DBuhUC8YDDBIgLb7wh/eY3tkre7bfb8rSVK/tdVdl9/72NCOTlSRs32ihHLNu40YbVk5Ptm/Wll/pdUdmdOCH17St98IFNTx0/Xrr/fr+rAsqHkQHENM+Tnn1WevBBCwJDh0rvvRfbQUCydrh5eVKTJrEfBCTp2mulX/3K5uvHeqvfypWl2bOl++6z19wDD0ijRsXO1EngXAgDiFn5+YU7YkkaOVKaMEFKSvK3rlA4vf1wvIil9sTFSUqSJk6Unn7argcDaX6+r2UBZcZhAsSk7Gypf387TyAQkF5/3XbG8eDrr+2bdFKSDamnpfldUWgcOCD9/Oc24vH113YyXjwYP156+GEbGbjjDmn69OheYho4F0YGEHOOHLETBefOtWlqs2bFTxCQCk+y69o1foKAJP3sZ7YioBTbJxL+1EMPWUOrChVsdclOnew1CsQSwgBiyu7dhdO6qlaVFi+Wevb0u6rQyc8v7OMfi+2HixN8TNOmxdeQeq9e1k+halWb3tqqlY3qALGCwwSIGZs22beunTtt3vrChVKjRn5XFVqLF9tjvPhia9BTsaLfFYVWTo5tu8OH7bF26OB3RaG1fr01WNq3T7riCgsI9ev7XRVQPEYGEBPWrLH53Tt3SvXqWTOheAsCUuHweb9+8RcEJHtMffva5Xg6VBDUqJG9NuvWtddqsCU2EO0YGUDUmz9f6t3b5nc3a2aLxcTTsfSgY8ek9HR7nGvWSDfc4HdF4bFmjdS8uVSlin2DvuACvysKve+/l265RfriC3ucs2bZOSBAtGJkAFFtyhRrInTihA2/fvppfAYByeaunzghXX117K3uVxo33GCjO8eP22OOR2lp9lrt1MkeZ7du8TGlEvGLMICo5HnSmDHSPffYiWZ33WUd31JS/K4sfE7vLRAI+FtLOAUC8dVzoCipqbYE8qBB9hoePFh66SWaEyE6cZgAUaegQHrsMWnsWLv+299Ko0fH9wfk9u1SnTr2GLdvt5PP4tnOnVKtWnZ5+/bCy/GooEAaMUJ6+WW7PmyY9Mor1soYiBa8HBFVcnKkAQMKg8Crr9oIQTwHAUmaOtX+36ZN/AcByR5jmzZ2OfjY41VCgo0IvPKKXX/tNVu46eRJX8sCzkAYQNQ4dsxOupo50xa0mT5dGj7c76rCz/MKz6yPx94CRQk+1rffdmPo/LHHrL9CUpItpHXLLdKPP/pdFWA4TICosH+/daf78ks7L2DOHOsy6ILVq23aZEqKnV2fmup3RZHx4482e+L4cXsOmjf3u6LIWLzY2hZnZdniTQsWSJdd5ndVcB0jA/Ddt99KLVpYEEhLk5YtcycISIWjAj17uhMEJJtSGOweGY89B4rSsaP02Wf2Wl+3zoLg1q1+VwXXMTIAX61bZyMCBw7YCXSLFlnDFldkZ1tHviNHpCVLpHbt/K4ospYssS6EF11kHRddWuBnyxaberhtm63bsHChjRQAfmBkAL5ZskRq3dqCQOPGhZ3bXPLhhxYEatSQbr7Z72oir00bW8nwyBFrJuWSunXtNd+4sb0HWreWli71uyq4ijAAX8ycaR3ZMjOltm2lv/7Vjh+7JjjPftAgKTHR31r8kJhoj12K754DRUlPt9d+mzb2XujSxd4bQKRxmAARN3aszbWWpD597HhxPPbhL87+/fatOD9f+uYbdxe0+eYbqUEDCwZ79tiQuWtyciwUzZpl18eOlf7f//O3JriFkQFEjOdZ85VgEHjkEZti5WIQkOyx5+db62FXg4AkXXON1LSpPRczZvhdjT8qVrTH/vDDdv3RR6Unn3RjyiWiA2EAEZGba62Fx4yx6y+8YN9+XO7Cdnr7Yde50J64OImJ0rhx0vPP2/XRo6UhQ+y9A4QbhwkQdllZdjhgwQLb4f3pTxYMXPb3v9tyt8nJdhb9JZf4XZG/Dh6Uqle3D76//1267jq/K/LX5MnSr39toyVdu0rvvhvf63LAfw5/L0MkHDxo0+UWLJAqV5bmzSMISIXz6m+9lSAgSZdeah35JLd6DhRlyBBp7lybarlggb2HfvjB76oQzwgDCJsdO6SMDGntWqlaNZs2deutflflv7w8a7UsudV+uDjB52LaNHuOXHfbbfaeufhiew9lZNgCT0A4EAYQFhs2WFfBzZulmjWllSvdaTdbnE8+sbbDl1xiU8lguna152TfPutBAXsPrVxpfSg2bbL30IYNfleFeEQYQMgtXy61bGnTxBo2tMYq11zjd1XRIzgM3r+/VKGCv7VEkwoVpH797DKHCgo1aCB9/rn9f88ee2+tWOF3VYg3nECIkJo713boOTk2rPnBBzbMCXP0qDWayc6WvvhCuv56vyuKLl98YVMtK1WyEYILL/S7ouhx6JDUrZu0apVNRZw5U+re3e+qEC8YGUDIvPGG1KuXBYHbb7fV2QgCZ5o1y4JAgwZSkyZ+VxN9rr/eRpGys6X33vO7muhSrZodYurWzd5jPXtKEyb4XRXiBWEA5eZ50rPPSg8+KBUUSEOH2o68cmW/K4s+p/cWCAT8rSUaBQL0HDifypWl2bOl++6z99oDD0ijRtGcCOXHYQKUS36+9NBD0sSJdn3kSAsGfNCdbetW6aqr7Ln55z+tFTHOtmuXdMUV9gG3dat05ZV+VxR9PE965hnp3//drt9/v/T6626ub4HQYGQAZZadLfXubUEgEJDGj7dvKQSBc5s61f7fvj1B4Hxq1Chcyjn4nOFMgYD03HMWAAIBO1zQp4+9J4GyIAygTI4ckTp2tBMGK1SwY+EPPuh3VdHL8wrPkKe3QPGCz9HbbzMEfj4PPWTdCStUkObMkTp1svcmUFocJkCp7d4tde4sbdwoVa1qMwZat/a7qui2YoXUqpWUmmpnydNa9vyysmzWRWamPXcZGX5XFN2WLbOTdo8ds1bOH39s7Z2BkmJkAKWyaZM1Qtm4Ubr8cuspQBAoXnBUoHdvgkBJpKTYzBSJngMlcfPN9l5MT7emRM2b23sVKClGBlBia9ZY//hDh6R69aRFi6Tatf2uKvqdOGE76WPHpM8+sx03ivfZZ1Lbtjb6tG8fs1NKYts2O1SwZYt1c5w/X7rhBr+rQixgZAAlMn++7ZgPHbKmMCtXEgRK6v33LQjUqmWHClAyrVvbrIJjx+xQFIpXp441JWra1BY2atvWFjoCikMYQLGmTLHjkSdO2LkCn34qpaX5XVXsCM6XHzRISuAdV2IJCfacSfQcKI20NHuPduokHT9uTYp4/lAcDhOgSJ4njRkjPfmkXR80SHrzTSk52d+6YsnevTZVrqDAFm2qV8/vimLL5s1S/foWDHbvtsMtKJncXFsKedo0uz56tPTb3zL1F+fG9xScU0GBNGxYYRB44gkbISAIlM706fZcNm9OECiLq6+WbrzRnsPgss8omeRkGxH413+16yNGSMOH23MJ/BRhAGfJyZEGDJDGjbPrr74qvfQSQ9yl5Xlnth9G2QSfO2YVlF5CgvTyy9Irr9j1sWOlgQOlkyf9rQvRh8MEOMOxY9Idd0hLl9o3iylTbKldlN6XX0q/+pU1hNm3j0WbyurQIZvGevKkPaeNG/tdUWyaPl0aPFjKy7MumHPmSBdc4HdViBZ818Mp+/fbtLelS22e90cfEQTKI/hNtls3gkB5VKsm3XabXWZ0oOwGDLBZQSkp0pIl9l7fv9/vqhAtCAOQJH37rTUT+vJLOxt52TJrN4yyyc0tPMZN++HyCz6H06fbc4uy6djR+jekpUnr1kk33WSLQQGEAZzaKXz3XeE85euv97uq2LZokfT997bT7dTJ72piX+fO9lweOCAtXux3NbGtaVN7j9epY0GgRQvbB8BthAHHLVlizV0OHLBjsatXS3Xr+l1V7AsOZw8YwAyMUEhOLjxkxaGC8qtb197rjRrZe791a9sXwF2cQOiwmTPtTO3cXOtUNneutX5F+Rw+bPPhT560b1y//KXfFcWHdeukJk2kihWtfwPnYZTf0aNSjx526CA52YJW375+VwU/MDLgqLFjpX79LAj06WMtSwkCofHuuxYErruOM99D6Ze/lK691qa+zprldzXx4cILpYULbQGt3FzbJwSnFMMthAHHeJ41Hxk2zK4/8og0Y4Z920JonN5bgG5voRMIFPYcoL1u6FSsaPuAhx+2648+as3GGDN2C4cJHJKbKw0dWrgjfeEFCwZ8YIXOli3WaTAhQdq1y+bHI3T27JFq1rQuelu2SFdd5XdF8cPzpBdflP7t3+z64MHSxImc8+IKRgYckZUlde9uQSAxUZo82dI/QSC0gie3dexIEAiH6tWlDh3sMicShlYgID31lK0/kphoDce6d7d9B+IfYcABBw9K7drZeQGVK0vz5kn33ON3VfGnoECaOtUu01sgfILP7dSp9NkPhyFD7GTiSpVsn9GunS2HjPjGYYI4t2OHzXPfvNnOvp4/3xbNQegtWya1aWMnYu7bZ8ELoXf8uM3W+PFHe85bt/a7ovi0erV06602O+bqq613Rq1afleFcGFkII5t2GANRTZvtuOsq1YRBMIpOGzdpw9BIJyqVLHnWOJQQTi1aCGtXGlLcG/ebNc3bPC7KoQLIwNxavly64l/9KjUsKH08cf2pkZ4ZGXZt9XMTHvuW7b0u6L4tny5jQhccIGNwlSp4ndF8WvXLhtd/Mc/bCrihx/y+o5HjAzEoblz7QS2o0eljAxpxQqCQLjNm2dBoE4de84RXhkZ9lz/+KM99wifGjVsH3LTTbZP6dCB5zweEQbizBtvSL16WWOW22+3Pu50ags/egtEVkKCNGiQXabnQPhVqyZ98omNNubkSD17ShMm+F0VQonDBHHC86RRo+w/yfoJjB8vJSX5W5cLdu+2czI8zxZ+ufJKvytyw9at1mcgIUHauVP6+c/9rij+5eVJDz4oTZpk1599Vho5kgAcDxgZiAP5+dIDDxQGgZEjLbUTBCJj2jQLAhkZBIFI+sUvbOi6oKBwuWiEV1KSNSJ6+mm7/uyzFg7y830tCyFAGIhxJ07YYYGJEy2djx9voYCkHhmeV3hGe7BVLiLn9PbEjHFGRiAgPfec9PrrdnnCBFvbIDvb78pQHhwmiGFHjtgxvBUrpAoVpHfesWN5iJz/+R9bH75iRWn/fjvbGpFz5IjN4sjJsW3RpInfFbnlvfdsme6TJ22GwQcfSBdd5HdVKAtGBmLU7t325luxwprcLF5MEPBDcFSge3eCgB8uushOlJXoOeCHXr2sGVHVqrYvatXK1o9A7CEMxKBNm6wByMaN1v8+OOcakXXypI3GSLQf9lPwuX/nHdsmiKybb7Z9UHq6NSVq3tz2UYgthIEYs2aNnTS1c6etjrd6tdSokd9VuWnhQuvZnp5euHgOIq9jR+myy2wNjo8/9rsaNzVqZPuiunVt35SRIa1d63dVKA3CQAyZP19q21Y6dEhq1sxahdau7XdV7grObx8wgJkbfkpKsm0g0XPAT3XqWMvzpk0tJLdtawsdITZwAmGMmDJFuu8+m8LTubOduJOS4ndV7vrhBztEk5srrV8v/cu/+F2R29avlxo3lpKTrT1xtWp+V+SuzMzCcwkSE21JZA6jRT9GBqKc50mjR9uSw/n51nXtgw8IAn6bOdOCQOPGBIFo0KiR/Zeba9sG/klNtfULBg60fdbgwdKYMUz9jHaEgShWUCANGyY9+aRdf+IJGyFITvazKkj0FohGwW3BrAL/JSfbIZt//Ve7PmKENHy47dMQnThMEKVycmxo7S9/seuvvmpvJvhv0ybpmmtsCHT3bjt5Df7bt88W1cnPt2109dV+VwTJ9l2PP26X+/a1LzQVK/paEs6BkYEodOyYdMstFgSSk63VKkEgegS/eXbuTBCIJunpttSuxOhANHnsMWvZnZRkh3BuvdVWm0R0IQxEmf37bd7u0qV2XsBHH0n9+/tdFYIKCqSpU+0yJ0VFn+A2mTqVIeloMmCAzYZKSZGWLLF93P79fleF03GYIIp8+619s/nuOyktzablXH+931XhdEuXSu3bW+e7vXulSpX8rginy862EYKjR21btW3rd0U43Rdf2Kjn99/bQlOLFtn/4T9GBqLEunXWTOi77wrn6xIEok9w+PnOOwkC0ahSJds2EocKolHTprZvq1PHlqBu0cL2ffAfIwNRYMkSqUcPm5/buLF1tktP97sq/FRmpm2XrCzbobVo4XdFOJdVq6wDXkqKnVSYmup3RfipffvsnJv16237zJ1rI27wDyMDPps5U+ra1T5o2raV/vpXgkC0mjPHgsBVV1n/dUSnFi1s6Dkryz5kEH3S021f16aN7fu6dqU/hN8IAz567TWpXz9rlNKnj50jULWq31WhKMFWt3fdZeu4IzoFAoU9B2hPHL0uvNBGQXv3tn1gv37S2LF+V+UuDhP4wPOskdCYMXb9kUcsGCQQzaLWzp22DoTnSdu2sSZEtNu2TbrySgsGO3ZINWv6XRGKkp9vzdX++Ee7PmKE9MILBO5I4+MnwnJzrbVwMAi88IKlYYJAdJs2zYJA69YEgVhQp47UqpVts2nT/K4G55OYKI0bJz3/vF0fPVoaMsT2lYgcPoIiKCtL6t7dhi4TE6XJk22EgAQc3Tyv8Mx0egvEjuC2evtt+uJHu0BAeuopW9QoMdG6FHbvbvtMRAaHCSLk4EHrvLV2rVS5svTuu3Yd0W/tWunGG2277dvHeR2x4tgxO1HtxAnbhs2a+V0RSuLDD+0cquxs6YYbrFnRJZf4XVX8Y2QgAnbssKlOa9dKF19szVAIArEjOCpwxx0EgVhStapN2ZXoORBLbrvN9pEXX2z7zJtusn0owouRgTDbsMHm0+7ZYycxLVpki9wgNuTkSJdfLh0+bNuuY0e/K0JpLFpk779q1ew9yAI5seMf/7COrLt2SdWrSx9/LF13nd9VxS9GBsJo+XKpZUvbCTVsKK1eTRCINfPnWxCoXl1q187valBa7dtbmDt0yKbuInY0aCB9/rn9f88e25cuX+53VfGLMBAmc+bYt8ijR+0QwYoVtrwqYktwnvrAgXZiE2JLYqJtO4meA7GoRg3bd950k+1LO3akkVS4cJggDN54Q/rNb2zVtNtvl2bMsJPPEFu+/95GBPLypI0bbXQHsWfjRhteTkqyxaUuvdTvilBaJ05IfftKH3xg07DHj5fuv9/vquILIwMh5HnSs89KDz5oQWDoUOm99wgCsWrGDAsCTZoQBGLZtddKv/qVbcsZM/yuBmVRubI0e7Z03322b33gAWnUKKaMhhJhIETy8wtfoJI0cqQ0YYJ9G0FsCp6BHmxti9gV3IbMKohdSUnSxInS00/b9eAXr/x8X8uKGxwmCIETJ6T+/aV586x5xuuv24sUsevrr+0bZVKSnbyUluZ3RSiPAwekn//cRge+/tpOSkPsGj9eevhhGxno0UN65x2WFC8vRgbK6cgRm/4yb55UoYI0axZBIB4Ev0F27UoQiAc/+5nUpYtdZnQg9j30kDVuq1DBTijs2NH2xSg7wkA57N5t011WrLAGJ4sXSz17+l0Vyis/v7CfPe2H40dwW06dytByPOjVy/pIVK1q++BWrWyfjLLhMEEZbdpkIwI7d9o85oULpUaN/K4KobB4sW3biy+2s89pVBMfTm8gtXix1KGD3xUhFNavt8ZS+/ZJV1xhAaF+fb+rij2MDJTBmjU273XnTqlePWsmRBCIH8Fh5H79CALxpGJFm54mcaggnjRqZPvgunVtnxxs/Y7SYWSglObPl3r3tpMGmzWTPvqIY8rx5PTFbdassYVSED/WrJGaN5eqVLFvkhdc4HdFCJXvv5duuUX64gvbvrNm2Tk/KBlGBkphyhRrInTihA1LffopQSDezJ5t2/fqq1nlLh7dcION5h0/btsa8SMtzfbJnTrZ9u3Wja6TpUEYKAHPk0aPlu65x048GjTIOmGlpPhdGUItuPO46y6bJor4EggU9hzggyL+pKbaEsgDB9q+evBgacwYmhOVBIcJilFQIA0fLo0bZ9efeMKCQQIxKu5s3y7VqWMfGNu328lIiD87d0q1atnl7dsLLyN+FBRIv/ud9Ic/2PVHH5VefZX99vnw1BTB8zwdOpSlPn2yNG6c5aVXX5VeeokXVDzyPE9vvpklKUs33+wRBOLYFVdIN9/sScrSm29mie9D8SchQXr5ZemVV+z62LGe7rwzS4cOsb2LwshAEfbuzVL16qmSpKSkTL31Vor69/e5KIRNZmaWLrjAtvfEiZkaOpRjQPFs4sQs3X+/be8ff8xUairbO15Nny7dfXeW8vNte+/dm6n0dLb3T/Edtwg7dxZenj1bBIE4t3Fj4eVu3fyrA5Fx+jb++mv/6kD4DRhgS8oH7djhXy3RjJGBImRlZSk11ZJkZmamUjhbMK6xvd3C9nYL27t4jAwAAOA4wgAAAI4jDAAA4DjCAAAAjiMMAADgOMIAAACOIwwAAOA4wgAAAI4jDAAA4DjCAAAAjiMMAADgOMIAAACOIwwAAOA4wgAAAI4jDAAA4DjCAAAAjiMMAADgOMIAAACOIwwAAOA4wgAAAI4jDAAA4DjCAAAAjiMMAADgOMIAAACOIwwAAOA4wgAAAI4jDAAA4DjCAAAAjiMMAADgOMIAAACOIwwAAOA4wgAAAI4jDAAA4DjCAAAAjiMMAADgOMIAAACOIwwAAOA4wgAAAI4jDAAA4DjCAAAAjiMMAADgOMIAAACOIwwAAOA4wgAAAI4jDAAA4DjCAAAAjiMMAADgOMIAAACOIwwAAOA4wgAAAI4jDAAA4DjCAAAAjiMMAADgOMIAAACOIwwAAOC4gOd5nt9FRCPP83T8+HFJUpUqVRQIBHyuCOHE9nYL29stbO/iEQYAAHAchwkAAHAcYQAAAMcRBgAAcBxhAAAAxxEGAABwHGEAAADHEQYAAHAcYQAAAMcRBgAAcBxhAAAAxzkXBrKysnTZZZcpEAjoyiuvVG5u7jl/Lzs7WxkZGQoEAqpYsaKWLVsW2UIREmxvt7C93cL2DiHPQa+99ponyZPkTZw48ax/Lygo8Hr16uVJ8gKBgDdjxgwfqkSosL3dwvZ2C9s7NJwMA9nZ2d4VV1zhSfJq1arl5eTknPHvw4cPP/Xi+sMf/uBTlQgVtrdb2N5uYXuHhpNhwPM8b9KkSadeIP/93/996uenp8xhw4b5WCFCie3tFra3W9je5edsGMjLy/Pq1avnSfJq1qzp5eTkeLNnz/YSEhI8SV7v3r29/Px8v8tEiLC93cL2dgvbu/ycDQOe53kzZ848lRrvvfder1KlSp4kr1WrVl52drbf5SHE2N5uYXu7he1dPk6HgYKCAq9x48anXkCSvIYNG3qHDx8+799NnTrV+/Wvf+01adLEq1ChgifJ+/Of/xyRmlF2Zdneu3bt8v7zP//T69Chg1ezZk0vOTnZu+yyy7w77rjDW7NmTeSKR6mVZXsfPnzYe+SRR7wbb7zRu+yyy7wKFSp41atX99q0aeO99957XkFBQeQeAEqlrPvznxozZsypv//888/DU2wUcm5q4ekCgYCGDh166vrPfvYzLVy4UBdddNF5/+73v/+9Jk6cqB07dujyyy8Pc5UIlbJs7//6r//S8OHD9d1336lDhw56/PHHlZGRoffff18tWrTQu+++G4HKURZl2d4HDx7U5MmTlZKSou7du+vxxx9Xly5d9PXXX6tXr166//77I1A5yqKs+/PTffPNNxo5cqRSUlLCUGGU8zuN+Ol///d/vUsvvfRUCkxJSfH2799f7N998skn3vbt2z3P87wXX3yRkYEYUZbtPXv2bG/58uVn/Xz58uVecnKyV61aNYYgo1RZtndeXp6Xm5t71s+PHTvmNWjQwJPkbdy4MVwloxzKuj8PysvL85o2beo1a9bMGzhwICMDrjhw4IA6d+6sgwcP6pJLLpFkDSyef/75Yv+2ffv2qlWrVrhLRAiVdXvfcccdatmy5Vk/b9mypdq0aaNDhw5pw4YNYakZZVfW7Z2YmKikpKSzfn7BBReoU6dOkqRvv/029AWjXMqzPw8aM2aM1q9fr8mTJysxMTFcpUYtJ8NAVlaWbrnlFn333XdKTU3V4sWL1b17d0nShAkTtHPnTn8LREiFa3snJydL0jk/POCfcGzv7OxsffrppwoEAmrQoEGIK0Z5hGJ7b9y4UaNGjdLvf/97NWzYMMwVRym/hyYiLTc31+vSpYsnyUtKSvIWLFjgeZ7nrV+/3gsEAp4kb8iQISW+PQ4TRLdQb++gHTt2eBUrVvTS09O9vLy8UJeNMgrV9j58+LD3zDPPeE8//bR3//33ezVr1vQkec8880yYHwFKIxTbOzc312vSpInXqFEj7+TJk57ned7dd9/t3GEC58LAvffee+qY0p/+9Kcz/i3YsjIxMdHbvHlziW6PMBDdQr29Pc/zTp486bVq1cqT5L399tuhLhnlEKrtvW3btjPOSk9OTvZefvllZhNEmVBs71GjRnlJSUne3/72t1M/IwzEuWeeeebUC+fpp58+6983btx4qklFnz59SnSbhIHoFY7tnZ+ff+rkoqFDh4a6ZJRDOLZ3Xl6et23bNu/FF1/0KlSo4PXo0eOcJxgi8kKxvb/66isvOTnZGzFixBk/JwzEsdPbVd59991F/l7fvn1PLWjx5ZdfFnu7hIHoFI7tXVBQ4A0ZMsST5A0cOJCOZlEkXO/v07300kueJG/8+PHlKxblFqrt3ahRI69+/fpnzQgiDMSp+fPne0lJSZ4kr3379qeOC53LN9984yUmJnqSvK5duxZ724SB6BOO7Z2fn+/dc889niSvX79+nCcQRcL5/j7dV199VapRBYRHKLf36YeCzvff3Llzw/iIooMTp0F37dq1yHWuf6p+/frKy8sLc0UIp1Bv74KCAt13333685//rDvvvFNTp051cupRtIrU+3vPnj2SmD3it1Bu73vvvfecP1++fLm2bNmibt26KS0tTbVr1y5LqTGFVzVwHgUFBbr33ns1ZcoU9e7dW9OmTSMIxLGvvvpKderU0YUXXnjGzw8dOqSnnnpKktSlSxc/SkMYTJo06Zw/Hzx4sLZs2aInn3xSN954Y4Sr8gdhoAwmTZqklStXStKphjOTJk3SsmXLJEndu3c/Nc8Vse25557TlClTlJqaqnr16uk//uM/zvqd7t27q3HjxpEvDiE3ZcoUTZo0SW3atFGtWrWUkpKiHTt2aP78+crMzFTPnj3Vv39/v8sEQo4wUAYrV67UW2+9dcbPVq1apVWrVkmSateuTRiIE9u3b5ckZWZmFtnNrHbt2oSBONGrVy8dPXpUa9as0fLly3X8+HFVq1ZNGRkZuuuuu9S3b18FAgG/ywRCLuB5nud3EQAAwD9OtiMGAACFCAMAADiOMAAAgOMIAwAAOI4wAACA4wgDAAA4jjAAAIDjCAMAADiOMAAAgOMIAwAAOI4wAACA4/4/Q1WL2OMeTXQAAAAASUVORK5CYII=\n", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model(dataset['train_input'])\n", - "model.tree()" - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "id": "0a3d84fe", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 6.14e-03 | test loss: 6.70e-03 | reg: 7.63e+00 : 100%|██| 50/50 [00:20<00:00, 2.46it/s]\n" - ] - } - ], - "source": [ - "model.fit(dataset, steps=50);" - ] - }, - { - "cell_type": "code", - "execution_count": 13, - "id": "38d1e510", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.tree()" - ] - }, - { - "cell_type": "markdown", - "id": "e955f277", - "metadata": {}, - "source": [ - "It doesn't always work. One may need to tweek seed (with unlucky random seed, it can get stuck at bad local minima)" - ] - }, - { - "cell_type": "code", - "execution_count": 14, - "id": "acacd12c", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 2.86e-01 | test loss: 3.13e-01 | reg: 3.46e+01 : 100%|██| 50/50 [00:19<00:00, 2.51it/s]\n" - ] - } - ], - "source": [ - "model = KAN(width=[4,2,1,1], grid=3, k=3, seed=4)\n", - "f = lambda x: torch.exp((torch.sin(torch.pi*(x[:,[0]]**2+x[:,[1]]**2))+torch.sin(torch.pi*(x[:,[2]]**2+x[:,[3]]**2)))/2)\n", - "dataset = create_dataset(f, n_var=4)\n", - "model.fit(dataset, steps=50);" - ] - }, - { - "cell_type": "code", - "execution_count": 15, - "id": "1333bed5", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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wJWZmZmrz5s21bdu2uuaaa+p3v/udEDiO7d69u77//e/XSSed9LnjH374Yf3qV7+qqqq1a9f2YzR6YGJi4qjHf/7zn9dbb71Vv/zlL+uCCy5Y4Kn6QwzMw8TERO3cubOqavYFZyYmJmr79u1VVbV+/frZ57ny7XbvvffWtm3bamxsrM4888y67777jviY9evX17nnnrvww9F127Ztq4mJiVqzZk2tWLGiRkdHa+/evfXCCy/Uxx9/XFdffXX97Gc/6/eY0HViYB527txZzzzzzOeO7dq1q3bt2lVVVStXrhQDx4n33nuvqqo+/vjjL3w1s5UrV4qB48SGDRvqo48+qpdffrl27NhRU1NTdfLJJ9fq1avruuuuq2uvvbY6nU6/x4Su67TWWr+HAAD6J/LliAGA/xIDABBODABAODEAAOHEAACEEwMAEE4MAEA4MQAA4cQAAIQTAwAQTgwAQLj/A6y/OD/NDkGjAAAAAElFTkSuQmCC\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.tree()" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "05cf43c8", - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.7" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/tutorials/Interp_7_Building_in_structural_biases.ipynb b/tutorials/Interp_7_Building_in_structural_biases.ipynb deleted file mode 100644 index 6083a301..00000000 --- a/tutorials/Interp_7_Building_in_structural_biases.ipynb +++ /dev/null @@ -1,274 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "f8ba3161", - "metadata": {}, - "source": [ - "# Interp 7: Building in structural biases" - ] - }, - { - "cell_type": "markdown", - "id": "6535c1f2", - "metadata": {}, - "source": [ - "In the previous notebook, we have shown how to test hypothesis for a trained model. If you are content with the insights (tree structure and symmetry properties), you can simply stop here. However, if you want to leverage these properties and apply these inductive biases to your neural network, this notebook walks you through a few possiblities." - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "id": "3b818211", - "metadata": {}, - "outputs": [], - "source": [ - "from kan import *" - ] - }, - { - "cell_type": "markdown", - "id": "4e9926ed", - "metadata": {}, - "source": [ - "Case 1: Separability\n", - "\n", - "* if you have confirmed that $f(x_1,x_2,x_3,x_4)=f_1(x_1)f_2(x_2)f_3(x_3)f_4(x_4)$, you can make the last operation to be multiplication. And you can use model.module to create modules so that variables do not interact." - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "id": "cbe4788b", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model = KAN(width=[4,[0,1]], mult_arity=4, grid=5, k=3) # note [0,1] means in the output layer, 0 sum node and 1 mult node\n", - "x = torch.rand(100,4)*2-1\n", - "model(x)\n", - "model.plot(beta=1000)" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "id": "f5aff4ae", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "# to specify a module, you need to specify the start layer (0 in this case),\n", - "# you also need to specify which neurons belong to this module\n", - "# the rule might be a bit complicated to explain, but you will observe the pattern with a few examples. \n", - "model = KAN(width=[4,[0,1]], mult_arity=4, grid=5, k=3) # note [0,1] means in the output layer, 0 sum node and 1 mult node\n", - "x = torch.rand(100,4)*2-1\n", - "model(x)\n", - "\n", - "model.module(0,'[0]->[0]')\n", - "model.module(0,'[1]->[1]')\n", - "model.module(0,'[2]->[2]')\n", - "model.module(0,'[3]->[3]')\n", - "\n", - "model.plot(beta=1000)" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "id": "4d5137cb", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model = KAN(width=[4,[0,1]], mult_arity=4, grid=5, k=3) # note [0,1] means in the output layer, 0 sum node and 1 mult node\n", - "x = torch.rand(100,4)*2-1\n", - "model(x)\n", - "\n", - "model.module(0,'[0,1]->[0,1]')\n", - "model.module(0,'[2,3]->[2,3]')\n", - "\n", - "model.plot(beta=1000)" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "id": "34a7bce5", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model = KAN(width=[4,[0,1]], mult_arity=4, grid=5, k=3) # note [0,1] means in the output layer, 0 sum node and 1 mult node\n", - "x = torch.rand(100,4)*2-1\n", - "model(x)\n", - "\n", - "model.module(0,'[0,1]->[2,3]')\n", - "model.module(0,'[2,3]->[0,1]')\n", - "\n", - "model.plot(beta=1000)" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "id": "816a4250", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model = KAN(width=[4,[0,1]], mult_arity=4, grid=5, k=3) # note [0,1] means in the output layer, 0 sum node and 1 mult node\n", - "x = torch.rand(100,4)*2-1\n", - "model(x)\n", - "\n", - "model.module(0,'[0]->[0]')\n", - "model.module(0,'[1,2,3]->[1,2,3]')\n", - "\n", - "model.plot(beta=1000)" - ] - }, - { - "cell_type": "markdown", - "id": "1728aea1", - "metadata": {}, - "source": [ - "Case 2: you can use model.module smartly to create tree graphs." - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "id": "37e983f7", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "# a tree case\n", - "model = KAN(width=[4,6,2,6,1], mult_arity=4, grid=5, k=3) # note [0,1] means in the output layer, 0 sum node and 1 mult node\n", - "x = torch.rand(100,4)*2-1\n", - "model(x)\n", - "model.plot(beta=1000)" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "id": "b6c70991", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "# a tree case\n", - "model = KAN(width=[4,6,2,6,1], mult_arity=4, grid=5, k=3) # note [0,1] means in the output layer, 0 sum node and 1 mult node\n", - "x = torch.rand(100,4)*2-1\n", - "\n", - "model.module(0,'[0,1]->[0,1,2]->[0,1,2]->[0]')\n", - "model.module(0,'[2,3]->[3,4,5]->[3,4,5]->[1]')\n", - "model.module(2,'[0]->[0,1,2]')\n", - "model.module(2,'[1]->[3,4,5]')\n", - "\n", - "model(x)\n", - "model.plot(beta=1000)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "05cf43c8", - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.7" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/tutorials/MultKAN_tutorial.ipynb b/tutorials/MultKAN_tutorial.ipynb deleted file mode 100644 index e68832d1..00000000 --- a/tutorials/MultKAN_tutorial.ipynb +++ /dev/null @@ -1,159 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "5d904dee", - "metadata": {}, - "source": [ - "# Use MultKAN\n", - "\n", - "In this example, we will show how to use MultKAN" - ] - }, - { - "cell_type": "markdown", - "id": "94056ef6", - "metadata": {}, - "source": [ - "intialize model and create dataset" - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "id": "0a59179d", - "metadata": {}, - "outputs": [], - "source": [ - "from kan.MultKAN import MultKAN\n", - "from kan.utils import create_dataset\n", - "import torch\n", - "\n", - "torch.set_default_dtype(torch.float64)\n", - "torch.use_deterministic_algorithms(True)\n", - "\n", - "seed = 0\n", - "torch.manual_seed(seed)\n", - "\n", - "# initialize KAN with G=5. Setting the hyperparameters below is the best setup if you care about speed and never use the symbolic front\n", - "# symblic_enabled = False will ignore the symbolic part to avoid slowdown due to the for loops in the symbolic part\n", - "# save_plot_data = False will skip saving intermediate activations\n", - "# auto_save = False will skip saving models\n", - "model = MultKAN(width=[2,1,1], grid=5, k=3, symbolic_enabled=False, save_plot_data=False, auto_save=False)\n", - "\n", - "# create dataset\n", - "f = lambda x: torch.exp(torch.sin(torch.pi*x[:,[0]]) + x[:,[1]]**2)\n", - "dataset = create_dataset(f, n_var=2)" - ] - }, - { - "cell_type": "markdown", - "id": "cb1f817e", - "metadata": {}, - "source": [ - "Train KAN (grid=3)" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "id": "a87b97b0", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 5.90e-03 | test loss: 6.09e-03 | reg: 0.00e+00 : 100%|█| 100/100 [00:11<00:00, 8.56it/s\n" - ] - } - ], - "source": [ - "model.train(dataset, opt=\"LBFGS\", steps=100);" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "id": "3f1cfc9d", - "metadata": {}, - "outputs": [], - "source": [ - "model.save_plot_data = True\n", - "model(dataset['train_input'])\n", - "model = model.refine(10)\n", - "model.save_plot_data = False" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "id": "f6900184", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 2.90e-04 | test loss: 3.05e-04 | reg: 0.00e+00 : 100%|█| 100/100 [00:12<00:00, 8.05it/s\n" - ] - } - ], - "source": [ - "model.train(dataset, opt=\"LBFGS\", steps=100);" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "id": "c3a785ae", - "metadata": {}, - "outputs": [], - "source": [ - "model.save_plot_data = True\n", - "model(dataset['train_input'])\n", - "model = model.refine(20)\n", - "model.save_plot_data = False" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "id": "10d710ec", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 1.61e-05 | test loss: 1.73e-05 | reg: 0.00e+00 : 100%|█| 100/100 [00:17<00:00, 5.64it/s\n" - ] - } - ], - "source": [ - "model.train(dataset, opt=\"LBFGS\", steps=100);" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.7" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/tutorials/Unchecked_API_8_checkpoint.ipynb b/tutorials/Unchecked_API_8_checkpoint.ipynb deleted file mode 100644 index a3c889e5..00000000 --- a/tutorials/Unchecked_API_8_checkpoint.ipynb +++ /dev/null @@ -1,220 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "134e7f9d", - "metadata": {}, - "source": [ - "# Demo 8: Checkpoint\n", - "\n", - "It is fun to play with KANs, just the same it is fun to play computer games. A common frustration in both games is that one did something wrong but cannot restore to the lastest checkpoint. We provide a quick way to save and load your checkpoint, so that you won't be frustrated and think that you need to start all over again." - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "id": "2075ef56", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "save this model to ./model_ckpt/ckpt1\n" - ] - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "from kan import KAN, create_dataset\n", - "import torch\n", - "import torch.nn\n", - "# create a KAN: 2D inputs, 1D output, and 5 hidden neurons. cubic spline (k=3), 5 grid intervals (grid=5).\n", - "model = KAN(width=[2,5,1], grid=5, k=3, seed=0, base_fun=torch.nn.SiLU())\n", - "f = lambda x: torch.exp(torch.sin(torch.pi*x[:,[0]]) + x[:,[1]]**2)\n", - "dataset = create_dataset(f, n_var=2)\n", - "\n", - "model(dataset['train_input'])\n", - "model.plot()\n", - "model.save_ckpt('ckpt1')\n", - "#model.clear_ckpts()\n", - "# save intialized model as ckpt1" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "id": "ab90723b", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 1.55e-01 | test loss: 1.30e-01 | reg: 2.03e+01 : 100%|██| 20/20 [00:12<00:00, 1.65it/s]\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "save this model to ./model_ckpt/ckpt2\n" - ] - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.train(dataset, opt=\"LBFGS\", steps=20, lamb=0.01, lamb_entropy=10.);\n", - "model.plot()\n", - "model.save_ckpt('ckpt2')\n", - "# save the trained model as ckpt2" - ] - }, - { - "cell_type": "markdown", - "id": "6b339ba4", - "metadata": {}, - "source": [ - "The above results look promising! You probably want to further simplify it down by further training it or pruning it. Suppose you want to pump up regularization strengh to make the graph cleaner, but you set the strength to be too large and training messes the whole thing up." - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "id": "0b580553", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 9.59e+00 | test loss: 8.56e+00 | reg: 3.16e+01 : 100%|██| 20/20 [00:01<00:00, 19.61it/s]\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "save this model to ./model_ckpt/ckpt3\n" - ] - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.train(dataset, opt=\"Adam\", steps=20, lamb=100., lamb_entropy=10.);\n", - "model.plot()\n", - "model.save_ckpt('ckpt3')" - ] - }, - { - "cell_type": "markdown", - "id": "4300604e", - "metadata": {}, - "source": [ - "We want to recover to ckpt2" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "id": "705661e5", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.load_ckpt('ckpt2')\n", - "model(dataset['train_input'])\n", - "model.plot()" - ] - }, - { - "cell_type": "markdown", - "id": "686b8fb4", - "metadata": {}, - "source": [ - "Now we realize that pruning it seems a better choice." - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "id": "0598e1f0", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model = model.prune()\n", - "model(dataset['train_input'])\n", - "model.plot()" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.7" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/tutorials/Unchecked_physics_informed_kan.ipynb b/tutorials/Unchecked_physics_informed_kan.ipynb deleted file mode 100644 index 845253a7..00000000 --- a/tutorials/Unchecked_physics_informed_kan.ipynb +++ /dev/null @@ -1,276 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": 20, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Using device: cpu\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "Step: 195 | Loss: 0.011: 100%|██████████| 200/200 [2:52:51<00:00, 51.86s/it] \n" - ] - } - ], - "source": [ - "import torch\n", - "from torch import autograd\n", - "from torch.utils.tensorboard import SummaryWriter\n", - "from tqdm import tqdm\n", - "import matplotlib.pyplot as plt\n", - "from kan import KAN, LBFGS\n", - "\n", - "device = torch.device(\"cpu\")\n", - "print(\"Using device:\", device)\n", - "\n", - "rho = torch.tensor(1.0, device=device, requires_grad=False)\n", - "nu = torch.tensor(0.01, device=device, requires_grad=False)\n", - "eps = torch.tensor(1e-8, device=device, requires_grad=False)\n", - "\n", - "width, height = 10.0, 2.0\n", - "num_points_x, num_points_y = 100, 20\n", - "\n", - "x = torch.linspace(0, width, num_points_x, device=device, requires_grad=False)\n", - "y = torch.linspace(0, height, num_points_y, device=device, requires_grad=False)\n", - "X, Y = torch.meshgrid(x, y, indexing='ij')\n", - "coordinates = torch.stack([X.flatten(), Y.flatten()], dim=1).to(device)\n", - "coordinates.requires_grad = True # Ensure coordinates require grad\n", - "\n", - "model = KAN(width=[2,3,3, 3], grid=5, k=10, grid_eps=1.0,\n", - " noise_scale_base=0.25).to(device)\n", - "\n", - "def batch_jacobian(func, x, create_graph=False):\n", - " def _func_sum(x):\n", - " return func(x).sum(dim=0)\n", - " return autograd.functional.jacobian(_func_sum, x, create_graph=create_graph).permute(1, 0, 2)\n", - "\n", - "def batch_hessian(func, x):\n", - " jacobian = batch_jacobian(func, x, create_graph=True)\n", - " hessians = []\n", - " for i in range(jacobian.size(1)):\n", - " grad = autograd.grad(jacobian[:, i].sum(), x, create_graph=True, retain_graph=True)[0]\n", - " hessians.append(grad.unsqueeze(1))\n", - " return torch.cat(hessians, dim=1)\n", - "\n", - "def navier_stokes_residuals(coords):\n", - " coords = coords.clone().detach().requires_grad_(True) # Ensure coords require grad\n", - " y_pred = model(coords)\n", - " grads = batch_jacobian(model, coords, create_graph=True)\n", - " hessians = batch_hessian(model, coords)\n", - "\n", - " u, v, p = y_pred[:, 0], y_pred[:, 1], y_pred[:, 2]\n", - " u_x, u_y = grads[:, 0, 0], grads[:, 0, 1]\n", - " v_x, v_y = grads[:, 1, 0], grads[:, 1, 1]\n", - " p_x, p_y = grads[:, 2, 0], grads[:, 2, 1]\n", - "\n", - " u_xx, u_yy = hessians[:, 0, 0], hessians[:, 0, 1]\n", - " v_xx, v_yy = hessians[:, 1, 0], hessians[:, 1, 1]\n", - "\n", - " continuity = u_x + v_y + eps * p\n", - " x_momentum = u * u_x + v * u_y + (1 / rho) * p_x - nu * (u_xx + u_yy)\n", - " y_momentum = u * v_x + v * v_y + (1 / rho) * p_y - nu * (v_xx + v_yy)\n", - "\n", - " no_slip_mask = (coords[:, 1] == 0) | (coords[:, 1] == height)\n", - " inlet_mask = (coords[:, 0] == 0)\n", - " outlet_mask = (coords[:, 0] == width)\n", - "\n", - " no_slip_loss = torch.mean(u[no_slip_mask] ** 2 + v[no_slip_mask] ** 2)\n", - " inlet_loss = torch.mean((u[inlet_mask] - 1) ** 2)\n", - " outlet_pressure_loss = torch.mean(p[outlet_mask] ** 2)\n", - "\n", - " bc_loss = no_slip_loss + inlet_loss + outlet_pressure_loss\n", - " total_loss = torch.mean(continuity ** 2 + x_momentum ** 2 + y_momentum ** 2) + bc_loss\n", - " return total_loss\n", - "\n", - "writer = SummaryWriter()\n", - "\n", - "def train():\n", - " optimizer = LBFGS(model.parameters(), lr=1,\n", - " history_size=10, line_search_fn=\"strong_wolfe\", tolerance_grad=1e-32, tolerance_change=1e-32, tolerance_ys=1e-32)\n", - " \n", - " steps = 200 # 20 steps are enough\n", - " pbar = tqdm(range(steps), desc='Training Progress')\n", - "\n", - " for step in pbar:\n", - " def closure():\n", - " optimizer.zero_grad()\n", - " loss = navier_stokes_residuals(coordinates)\n", - " loss.backward()\n", - " return loss\n", - "\n", - " optimizer.step(closure)\n", - " if step % 5 == 0:\n", - " current_loss = closure().item()\n", - " pbar.set_description(\"Step: %d | Loss: %.3f\" %\n", - " (step, current_loss))\n", - " writer.add_scalar('Loss/train', current_loss, step)\n", - "\n", - "train()\n", - "\n", - "writer.close()\n" - ] - }, - { - "cell_type": "code", - "execution_count": 24, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "u_pred = model(coordinates)[:, 0].detach().reshape(\n", - " num_points_x, num_points_y).T\n", - "\n", - "v_pred = model(coordinates)[:, 1].detach().reshape(\n", - " num_points_x, num_points_y).T\n", - "\n", - "\n", - "magnitude = torch.sqrt(u_pred ** 2 + v_pred ** 2)\n", - "\n", - "plt.figure(figsize=(10, 5)) # Set the figure size as needed\n", - "plt.imshow(magnitude, extent=(0, width, 0, height), origin='lower', cmap='viridis')\n", - "plt.colorbar() # Add a colorbar to show the magnitude scale\n", - "plt.title('Velocity Magnitude Contour')\n", - "plt.xlabel('Width')\n", - "plt.ylabel('Height')\n", - "plt.axis('equal') # Ensure the plot has equal scaling\n", - "plt.tight_layout() # Adjust layout to prevent overlap\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": 22, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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- "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "# Extracting predictions\n", - "u_pred = model(coordinates)[:, 0].detach().reshape(num_points_x, num_points_y).T\n", - "v_pred = model(coordinates)[:, 1].detach().reshape(num_points_x, num_points_y).T\n", - "p_pred = model(coordinates)[:, 2].detach().reshape(num_points_x, num_points_y).T\n", - "\n", - "# Velocity Magnitude\n", - "magnitude = torch.sqrt(u_pred ** 2 + v_pred ** 2)\n", - "\n", - "# Plotting all subplots\n", - "fig, axs = plt.subplots(2, 2, figsize=(15, 10))\n", - "\n", - "# Velocity Magnitude\n", - "im0 = axs[0, 0].imshow(magnitude, extent=(0, width, 0, height), origin='lower', cmap='viridis')\n", - "fig.colorbar(im0, ax=axs[0, 0])\n", - "axs[0, 0].set_title('Velocity Magnitude Contour')\n", - "axs[0, 0].set_xlabel('Width')\n", - "axs[0, 0].set_ylabel('Height')\n", - "axs[0, 0].axis('equal')\n", - "\n", - "# u Component\n", - "im1 = axs[0, 1].imshow(u_pred, extent=(0, width, 0, height), origin='lower', cmap='coolwarm')\n", - "fig.colorbar(im1, ax=axs[0, 1])\n", - "axs[0, 1].set_title('u Component')\n", - "axs[0, 1].set_xlabel('Width')\n", - "axs[0, 1].set_ylabel('Height')\n", - "axs[0, 1].axis('equal')\n", - "\n", - "# v Component\n", - "im2 = axs[1, 0].imshow(v_pred, extent=(0, width, 0, height), origin='lower', cmap='coolwarm')\n", - "fig.colorbar(im2, ax=axs[1, 0])\n", - "axs[1, 0].set_title('v Component')\n", - "axs[1, 0].set_xlabel('Width')\n", - "axs[1, 0].set_ylabel('Height')\n", - "axs[1, 0].axis('equal')\n", - "\n", - "# Pressure\n", - "im3 = axs[1, 1].imshow(p_pred, extent=(0, width, 0, height), origin='lower', cmap='coolwarm')\n", - "fig.colorbar(im3, ax=axs[1, 1])\n", - "axs[1, 1].set_title('Pressure')\n", - "axs[1, 1].set_xlabel('Width')\n", - "axs[1, 1].set_ylabel('Height')\n", - "axs[1, 1].axis('equal')\n", - "\n", - "plt.tight_layout() # Adjust layout to prevent overlap\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": 23, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.plot(beta=10)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.7" - } - }, - "nbformat": 4, - "nbformat_minor": 2 -} diff --git a/tutorials/Unchecked_protein_sequence_classification.ipynb b/tutorials/Unchecked_protein_sequence_classification.ipynb deleted file mode 100644 index 8a746c4d..00000000 --- a/tutorials/Unchecked_protein_sequence_classification.ipynb +++ /dev/null @@ -1,718 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "5d904dee", - "metadata": {}, - "source": [ - "# Protein Sequence Classification\n", - "\n", - "In this example, we will see how to use KAN in protein sequence classification. We will be using one hot encoding to encode the amino acids." - ] - }, - { - "cell_type": "markdown", - "id": "8c7e3d97-d0f6-41bc-8799-ad9c4a608a88", - "metadata": {}, - "source": [ - "#### This is just an example how it can be used for protein sequences. Need to use real data to actually observe the performance." - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "id": "0a59179d", - "metadata": {}, - "outputs": [], - "source": [ - "from kan import *\n", - "import torch\n", - "import random\n", - "import numpy as np" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "id": "3f0cd8cd-1161-4dd1-bbdc-31efe46f78c3", - "metadata": {}, - "outputs": [], - "source": [ - "# Hyperparameters\n", - "PROTEIN_WINDOW_SIZE = 5 \n", - "\n", - "# define the universe of possible input amino acids, ie. vocab list\n", - "aa_list = 'ARNDCQEGHILKMFPSTWYVX'" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "id": "25e9f373-3755-4d53-8529-dcf4b71acf18", - "metadata": {}, - "outputs": [], - "source": [ - "def one_hot_encode(protein_sequence):\n", - " \"\"\"\n", - " One-hot encodes a protein sequence.\n", - "\n", - " Args:\n", - " protein_sequence (str): The input protein sequence.\n", - "\n", - " Returns:\n", - " numpy.array: The one-hot encoded representation of the protein sequence.\n", - " \"\"\"\n", - " # Create a dictionary mapping amino acids to indices\n", - " aa_to_index = {aa: i for i, aa in enumerate(aa_list)}\n", - " \n", - " # Initialize an array of zeros with shape (sequence_length, alphabet_length)\n", - " encoding = np.zeros((len(protein_sequence), len(aa_list)))\n", - " \n", - " # Iterate over the protein sequence and set the corresponding index to 1\n", - " for i, aa in enumerate(protein_sequence):\n", - " if aa in aa_to_index:\n", - " encoding[i, aa_to_index[aa]] = 1\n", - " else:\n", - " # If the amino acid is not in the alphabet, set the last index to 1 (unknown)\n", - " encoding[i, -1] = 1\n", - " \n", - " return encoding" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "id": "90b53975-dd55-4ae0-816f-a4ed5cce7e23", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "GTKYX 1\n", - "TTKPP 1\n", - "AESVY 0\n", - "MYSFD 0\n", - "SQKNT 1\n", - "IDKAC 1\n", - "AXKTA 1\n", - "TESDW 0\n", - "YXSTF 0\n", - "VTSYF 0\n", - "HYKYE 1\n", - "RDSPA 0\n", - "MDSNK 0\n", - "SCKFH 1\n", - "AHKED 1\n", - "EFKYA 1\n", - "EPKLR 1\n", - "GWSRE 0\n", - "GMSYE 0\n", - "IPSKD 0\n", - "NSKQA 1\n", - "TWKNL 1\n", - "TCKFF 1\n", - "HNKSG 1\n", - "QNSKR 0\n", - "RVKYC 1\n", - "TESCP 0\n", - "SMKXE 1\n", - "IYSEV 0\n", - "XQSKD 0\n", - "VKSYN 0\n", - "EESGV 0\n", - "IISMQ 0\n", - "FLKGE 1\n", - "VMKGH 1\n", - "PTKMH 1\n", - "TLSIQ 0\n", - "TTSMA 0\n", - "ATKEE 1\n", - "MGSFT 0\n" - ] - } - ], - "source": [ - "def generate_sample_protein_dataset(num_samples=20, protein_window_size=5):\n", - " \"\"\"\n", - " Generate a dataset of protein sequences of length 11, keeping Lysine(K) in the center for label 1 and Serine(S) for label 0. \n", - "\n", - " Args:\n", - " num_samples (int): Number of samples to generate.\n", - " protein_window_size (int): Length of the protein sequence.\n", - "\n", - " Returns:\n", - " dict: A dictionary containing train_input, test_input, train_label, and test_label.\n", - " \"\"\"\n", - " \n", - " dataset = {'train_input': [], 'test_input': [], 'train_label': [], 'test_label': []}\n", - " alphabet = 'ARNDCQEGHILKMFPSTWYVX'\n", - "\n", - " # Generate half of the samples with label 1 and half with label 0\n", - " label_sequence = [1] * (num_samples // 2) + [0] * (num_samples // 2)\n", - " random.shuffle(label_sequence)\n", - "\n", - " for label in label_sequence:\n", - " # Generate a protein sequence with 'K' in the middle for label 1 and 'S' for label 0\n", - " if label == 1:\n", - " center_aa = 'K'\n", - " else:\n", - " center_aa = 'S'\n", - " sequence = ''.join(random.choices(alphabet.replace(center_aa, ''), k=protein_window_size//2)) + center_aa + ''.join(random.choices(alphabet.replace(center_aa, ''), k=protein_window_size//2))\n", - " print(sequence, label)\n", - " encoded_sequence = one_hot_encode(sequence).flatten()\n", - "\n", - " # Split the dataset into train and test (50% each)\n", - " if len(dataset['train_input']) < num_samples // 2:\n", - " dataset['train_input'].append(encoded_sequence)\n", - " dataset['train_label'].append(label)\n", - " else:\n", - " dataset['test_input'].append(encoded_sequence)\n", - " dataset['test_label'].append(label)\n", - "\n", - " # Convert lists to tensors\n", - " dataset['train_input'] = torch.tensor(dataset['train_input'])\n", - " dataset['test_input'] = torch.tensor(dataset['test_input'])\n", - " dataset['train_label'] = torch.tensor(dataset['train_label']).view(-1, 1)\n", - " dataset['test_label'] = torch.tensor(dataset['test_label']).view(-1, 1)\n", - "\n", - " return dataset\n", - "\n", - "# Generate dataset with 10 samples\n", - "dataset = generate_sample_protein_dataset(40)" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "id": "44e5b378-0d30-4886-8d4f-bc8c515a8e95", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "{'train_input': tensor([[0., 0., 0., ..., 0., 0., 1.],\n", - " [0., 0., 0., ..., 0., 0., 0.],\n", - " [1., 0., 0., ..., 1., 0., 0.],\n", - " ...,\n", - " [0., 0., 0., ..., 0., 0., 0.],\n", - " [0., 0., 0., ..., 0., 0., 0.],\n", - " [0., 0., 0., ..., 0., 0., 0.]], dtype=torch.float64), 'test_input': tensor([[0., 0., 1., ..., 0., 0., 0.],\n", - " [0., 0., 0., ..., 0., 0., 0.],\n", - " [0., 0., 0., ..., 0., 0., 0.],\n", - " ...,\n", - " [0., 0., 0., ..., 0., 0., 0.],\n", - " [1., 0., 0., ..., 0., 0., 0.],\n", - " [0., 0., 0., ..., 0., 0., 0.]], dtype=torch.float64), 'train_label': tensor([[1],\n", - " [1],\n", - " [0],\n", - " [0],\n", - " [1],\n", - " [1],\n", - " [1],\n", - " [0],\n", - " [0],\n", - " [0],\n", - " [1],\n", - " [0],\n", - " [0],\n", - " [1],\n", - " [1],\n", - " [1],\n", - " [1],\n", - " [0],\n", - " [0],\n", - " [0]]), 'test_label': tensor([[1],\n", - " [1],\n", - " [1],\n", - " [1],\n", - " [0],\n", - " [1],\n", - " [0],\n", - " [1],\n", - " [0],\n", - " [0],\n", - " [0],\n", - " [0],\n", - " [0],\n", - " [1],\n", - " [1],\n", - " [1],\n", - " [0],\n", - " [0],\n", - " [1],\n", - " [0]])}\n" - ] - } - ], - "source": [ - "print(dataset)" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "id": "fe465888-e3f2-4f06-bfc2-b93ff17eab63", - "metadata": {}, - "outputs": [], - "source": [ - "# define model\n", - "# create a KAN: 105 inputs, 2D output, and 3 hidden neurons. k=2, 3 grid intervals (grid=3).\n", - "# considering window size: 5, 5 times 21(vocab size), input-> 21 * 5\n", - "\n", - "model = KAN(width=[105,3,2], grid=3, k=2)" - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "id": "e9aa3305-f6da-438d-bf86-36eb12fa4e5f", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 1.04e-03 | test loss: 2.33e-01 | reg: 6.38e+01 : 100%|████| 5/5 [00:15<00:00, 3.00s/it]\n" - ] - }, - { - "data": { - "text/plain": [ - "(1.0, 0.949999988079071)" - ] - }, - "execution_count": 10, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "def train_acc():\n", - " return torch.mean((torch.round(model(dataset['train_input'])[:,0]) == dataset['train_label'][:,0]).float())\n", - "\n", - "def test_acc():\n", - " return torch.mean((torch.round(model(dataset['test_input'])[:,0]) == dataset['test_label'][:,0]).float())\n", - "\n", - "results = model.train(dataset, opt=\"LBFGS\", steps=5, metrics=(train_acc, test_acc));\n", - "results['train_acc'][-1], results['test_acc'][-1]" - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "id": "0bcb80ed-e5fa-456f-8910-15c82e4fd6c0", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "fixing (0,0,0) with x^2, r2=0.9999999665312771\n", - "fixing (0,0,1) with x^2, r2=0.9999979934036755\n", - "fixing (0,0,2) with x^2, r2=0.9999999622133074\n", - "fixing (0,1,0) with x^2, r2=0.9999999799949156\n", - "fixing (0,1,1) with x^2, r2=0.9991883825579457\n", - "fixing (0,1,2) with x^2, r2=0.9999994895376765\n", - "fixing (0,2,0) with x^2, r2=0.9999990593107048\n", - "fixing (0,2,1) with x^2, r2=0.9999996655563207\n", - "fixing (0,2,2) with x^2, r2=0.999999966951783\n", - "fixing (0,3,0) with x^2, r2=0.0\n", - "fixing (0,3,1) with x^2, r2=0.0\n", - "fixing (0,3,2) with x^2, r2=0.0\n", - "fixing (0,4,0) with x^2, r2=0.0\n", - "fixing (0,4,1) with x^2, r2=0.0\n", - "fixing (0,4,2) with x^2, r2=0.0\n", - "fixing (0,5,0) with x^2, r2=0.9999998808271742\n", - "fixing (0,5,1) with x^2, r2=0.9999998953621121\n", - "fixing (0,5,2) with x^2, r2=0.999999968375537\n", - "fixing (0,6,0) with x^2, r2=0.9981315108075913\n", - "fixing (0,6,1) with x^2, r2=0.999999843899342\n", - "fixing (0,6,2) with x^2, r2=0.9999999589830514\n", - "fixing (0,7,0) with x^2, r2=0.0\n", - "fixing (0,7,1) with x^2, r2=0.0\n", - "fixing (0,7,2) with x^2, r2=0.0\n", - "fixing (0,8,0) with x^2, r2=0.9999998200480685\n", - "fixing (0,8,1) with x^2, r2=0.9999999862277233\n", - "fixing (0,8,2) with x^2, r2=0.9999813684975204\n", - "fixing (0,9,0) with x^2, r2=0.9999999870502827\n", - "fixing (0,9,1) with x^2, r2=0.9997068764841773\n", - "fixing (0,9,2) with x^2, r2=0.9999999768060073\n", - "fixing (0,10,0) with x^2, r2=0.0\n", - "fixing (0,10,1) with x^2, r2=0.0\n", - "fixing (0,10,2) with x^2, r2=0.0\n", - "fixing (0,11,0) with x^2, r2=0.0\n", - "fixing (0,11,1) with x^2, r2=0.0\n", - "fixing (0,11,2) with x^2, r2=0.0\n", - "fixing (0,12,0) with x^2, r2=0.9999996829291468\n", - "fixing (0,12,1) with x^2, r2=0.9999747579126426\n", - "fixing (0,12,2) with x^2, r2=0.999999983307972\n", - "fixing (0,13,0) with x^2, r2=0.9999999625943928\n", - "fixing (0,13,1) with x^2, r2=0.9999999376278957\n", - "fixing (0,13,2) with x^2, r2=0.9999982391574459\n", - "fixing (0,14,0) with x^2, r2=0.9999999540837675\n", - "fixing (0,14,1) with x^2, r2=0.999993702906714\n", - "fixing (0,14,2) with x^2, r2=0.9999996570009488\n", - "fixing (0,15,0) with x^2, r2=0.999994330617256\n", - "fixing (0,15,1) with x^2, r2=0.9999996275829637\n", - "fixing (0,15,2) with x^2, r2=0.9999999847151517\n", - "fixing (0,16,0) with x^2, r2=0.9999999965050976\n", - "fixing (0,16,1) with x^2, r2=0.9999999736671104\n", - "fixing (0,16,2) with x^2, r2=0.9999999930306683\n", - "fixing (0,17,0) with x^2, r2=0.0\n", - "fixing (0,17,1) with x^2, r2=0.0\n", - "fixing (0,17,2) with x^2, r2=0.0\n", - "fixing (0,18,0) with x^2, r2=0.0\n", - "fixing (0,18,1) with x^2, r2=0.0\n", - "fixing (0,18,2) with x^2, r2=0.0\n", - "fixing (0,19,0) with x^2, r2=0.9999999090971862\n", - "fixing (0,19,1) with x^2, r2=0.999999811862135\n", - "fixing (0,19,2) with x^2, r2=0.9999989774097001\n", - "fixing (0,20,0) with x^2, r2=0.9999998410838922\n", - "fixing (0,20,1) with x^2, r2=0.999999954524944\n", - "fixing (0,20,2) with x^2, r2=0.9999995236701958\n", - "fixing (0,21,0) with x^2, r2=0.0\n", - "fixing (0,21,1) with x^2, r2=0.0\n", - "fixing (0,21,2) with x^2, r2=0.0\n", - "fixing (0,22,0) with x^2, r2=0.0\n", - "fixing (0,22,1) with x^2, r2=0.0\n", - "fixing (0,22,2) with x^2, r2=0.0\n", - "fixing (0,23,0) with x^2, r2=0.9999999953439344\n", - "fixing (0,23,1) with x^2, r2=0.9999999811625986\n", - "fixing (0,23,2) with x^2, r2=0.9999999555240675\n", - "fixing (0,24,0) with x^2, r2=0.0\n", - "fixing (0,24,1) with x^2, r2=0.0\n", - "fixing (0,24,2) with x^2, r2=0.0\n", - "fixing (0,25,0) with x^2, r2=0.9999998811160122\n", - "fixing (0,25,1) with x^2, r2=0.9999999304599131\n", - "fixing (0,25,2) with x^2, r2=0.9999998146150727\n", - "fixing (0,26,0) with x^2, r2=0.9999984806067732\n", - "fixing (0,26,1) with x^2, r2=0.9999999378197437\n", - "fixing (0,26,2) with x^2, r2=0.9999994597119173\n", - "fixing (0,27,0) with x^2, r2=0.9999991631417857\n", - "fixing (0,27,1) with x^2, r2=0.9999995673636365\n", - "fixing (0,27,2) with x^2, r2=0.9999999532647686\n", - "fixing (0,28,0) with x^2, r2=0.9999999703007609\n", - "fixing (0,28,1) with x^2, r2=0.999999684803164\n", - "fixing (0,28,2) with x^2, r2=0.9999999512126377\n", - "fixing (0,29,0) with x^2, r2=0.0\n", - "fixing (0,29,1) with x^2, r2=0.0\n", - "fixing (0,29,2) with x^2, r2=0.0\n", - "fixing (0,30,0) with x^2, r2=0.9999999361143834\n", - "fixing (0,30,1) with x^2, r2=0.9999999526237395\n", - "fixing (0,30,2) with x^2, r2=0.9999999758476676\n", - "fixing (0,31,0) with x^2, r2=0.9999999772937739\n", - "fixing (0,31,1) with x^2, r2=0.999998823370015\n", - "fixing (0,31,2) with x^2, r2=0.9999999951682172\n", - "fixing (0,32,0) with x^2, r2=0.9999998454496639\n", - "fixing (0,32,1) with x^2, r2=0.9999902771971996\n", - "fixing (0,32,2) with x^2, r2=0.9993939197671529\n", - "fixing (0,33,0) with x^2, r2=0.9979543880597602\n", - "fixing (0,33,1) with x^2, r2=0.9999999733685552\n", - "fixing (0,33,2) with x^2, r2=0.9999999872961335\n", - "fixing (0,34,0) with x^2, r2=0.0\n", - "fixing (0,34,1) with x^2, r2=0.0\n", - "fixing (0,34,2) with x^2, r2=0.0\n", - "fixing (0,35,0) with x^2, r2=0.0\n", - "fixing (0,35,1) with x^2, 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"fixing (0,42,0) with x^2, r2=0.0\n", - "fixing (0,42,1) with x^2, r2=0.0\n", - "fixing (0,42,2) with x^2, r2=0.0\n", - "fixing (0,43,0) with x^2, r2=0.0\n", - "fixing (0,43,1) with x^2, r2=0.0\n", - "fixing (0,43,2) with x^2, r2=0.0\n", - "fixing (0,44,0) with x^2, r2=0.0\n", - "fixing (0,44,1) with x^2, r2=0.0\n", - "fixing (0,44,2) with x^2, r2=0.0\n", - "fixing (0,45,0) with x^2, r2=0.0\n", - "fixing (0,45,1) with x^2, r2=0.0\n", - "fixing (0,45,2) with x^2, r2=0.0\n", - "fixing (0,46,0) with x^2, r2=0.0\n", - "fixing (0,46,1) with x^2, r2=0.0\n", - "fixing (0,46,2) with x^2, r2=0.0\n", - "fixing (0,47,0) with x^2, r2=0.0\n", - "fixing (0,47,1) with x^2, r2=0.0\n", - "fixing (0,47,2) with x^2, r2=0.0\n", - "fixing (0,48,0) with x^2, r2=0.0\n", - "fixing (0,48,1) with x^2, r2=0.0\n", - "fixing (0,48,2) with x^2, r2=0.0\n", - "fixing (0,49,0) with x^2, r2=0.0\n", - "fixing (0,49,1) with x^2, r2=0.0\n", - "fixing (0,49,2) with x^2, r2=0.0\n", - "fixing (0,50,0) with x^2, r2=0.0\n", - "fixing (0,50,1) with x^2, r2=0.0\n", - "fixing (0,50,2) with x^2, r2=0.0\n", - "fixing (0,51,0) with x^2, r2=0.0\n", - "fixing (0,51,1) with x^2, r2=0.0\n", - "fixing (0,51,2) with x^2, r2=0.0\n", - "fixing (0,52,0) with x^2, r2=0.0\n", - "fixing (0,52,1) with x^2, r2=0.0\n", - "fixing (0,52,2) with x^2, r2=0.0\n", - "fixing (0,53,0) with x^2, r2=0.9999999987614517\n", - "fixing (0,53,1) with x^2, r2=0.9999999995688087\n", - "fixing (0,53,2) with x^2, r2=0.999999999716506\n", - "fixing (0,54,0) with x^2, r2=0.0\n", - "fixing (0,54,1) with x^2, r2=0.0\n", - "fixing (0,54,2) with x^2, r2=0.0\n", - "fixing (0,55,0) with x^2, r2=0.0\n", - "fixing (0,55,1) with x^2, r2=0.0\n", - "fixing (0,55,2) with x^2, r2=0.0\n", - "fixing (0,56,0) with x^2, r2=0.0\n", - "fixing (0,56,1) with x^2, r2=0.0\n", - "fixing (0,56,2) with x^2, r2=0.0\n", - "fixing (0,57,0) with x^2, r2=0.9999999977865017\n", - "fixing (0,57,1) with x^2, r2=0.999999999143338\n", - "fixing (0,57,2) with x^2, r2=0.9999999998290019\n", - "fixing (0,58,0) with x^2, r2=0.0\n", - "fixing (0,58,1) with x^2, r2=0.0\n", - "fixing (0,58,2) with x^2, r2=0.0\n", - "fixing (0,59,0) with x^2, r2=0.0\n", - "fixing (0,59,1) with x^2, r2=0.0\n", - "fixing (0,59,2) with x^2, r2=0.0\n", - "fixing (0,60,0) with x^2, r2=0.0\n", - "fixing (0,60,1) with x^2, r2=0.0\n", - "fixing (0,60,2) with x^2, r2=0.0\n", - "fixing (0,61,0) with x^2, r2=0.0\n", - "fixing (0,61,1) with x^2, r2=0.0\n", - "fixing (0,61,2) with x^2, r2=0.0\n", - "fixing (0,62,0) with x^2, r2=0.0\n", - "fixing (0,62,1) with x^2, r2=0.0\n", - "fixing (0,62,2) with x^2, r2=0.0\n", - "fixing (0,63,0) with x^2, r2=0.0\n", - "fixing (0,63,1) with x^2, r2=0.0\n", - "fixing (0,63,2) with x^2, r2=0.0\n", - "fixing (0,64,0) with x^2, r2=0.0\n", - "fixing (0,64,1) with x^2, r2=0.0\n", - "fixing (0,64,2) with x^2, r2=0.0\n", - "fixing (0,65,0) with x^2, r2=0.9999999302979558\n", - "fixing (0,65,1) with x^2, r2=0.9999902406071391\n", - "fixing (0,65,2) with x^2, r2=0.9999998684472524\n", - "fixing (0,66,0) with x^2, r2=0.0\n", - "fixing (0,66,1) with x^2, r2=0.0\n", - "fixing (0,66,2) with x^2, r2=0.0\n", - "fixing (0,67,0) with x^2, r2=0.9999999655544946\n", - "fixing (0,67,1) with x^2, r2=0.9999995390688572\n", - "fixing (0,67,2) with x^2, r2=0.9999997366108699\n", - "fixing (0,68,0) with x^2, r2=0.9999999735303753\n", - "fixing (0,68,1) with x^2, r2=0.9999999539372727\n", - "fixing (0,68,2) with x^2, r2=0.9999998409922631\n", - "fixing (0,69,0) with x^2, r2=0.9999999975190795\n", - "fixing (0,69,1) with x^2, r2=0.9999998840699803\n", - "fixing (0,69,2) with x^2, r2=0.9999999748333692\n", - "fixing (0,70,0) with x^2, r2=0.9999999638112955\n", - "fixing (0,70,1) with x^2, r2=0.999999996122007\n", - "fixing (0,70,2) with x^2, r2=0.9999990113519382\n", - "fixing (0,71,0) with x^2, r2=0.0\n", - "fixing (0,71,1) with x^2, r2=0.0\n", - "fixing (0,71,2) with x^2, r2=0.0\n", - "fixing (0,72,0) with x^2, r2=0.9999999782223539\n", - "fixing (0,72,1) with x^2, r2=0.9999996360566132\n", - "fixing (0,72,2) with x^2, r2=0.9999994783563169\n", - "fixing (0,73,0) with x^2, r2=0.0\n", - "fixing (0,73,1) with x^2, r2=0.0\n", - "fixing (0,73,2) with x^2, r2=0.0\n", - "fixing (0,74,0) with x^2, r2=0.9999999430582801\n", - "fixing (0,74,1) with x^2, r2=0.9999999373180665\n", - "fixing (0,74,2) with x^2, r2=0.9999999928808172\n", - "fixing (0,75,0) with x^2, r2=0.9999999675795376\n", - "fixing (0,75,1) with x^2, r2=0.9999999926331626\n", - "fixing (0,75,2) with x^2, r2=0.9999999455360133\n", - "fixing (0,76,0) with x^2, r2=0.9999999894203153\n", - "fixing (0,76,1) with x^2, r2=0.999999852706142\n", - "fixing (0,76,2) with x^2, r2=0.9999994569257162\n", - "fixing (0,77,0) with x^2, r2=0.0\n", - "fixing (0,77,1) with x^2, r2=0.0\n", - "fixing (0,77,2) with x^2, r2=0.0\n", - "fixing (0,78,0) with x^2, r2=0.9999969548814738\n", - "fixing (0,78,1) with x^2, r2=0.999999895396509\n", - "fixing (0,78,2) with x^2, r2=0.9999997624575255\n", - "fixing (0,79,0) with x^2, r2=0.0\n", - "fixing (0,79,1) with x^2, r2=0.0\n", - "fixing (0,79,2) with x^2, r2=0.0\n", - "fixing (0,80,0) with x^2, r2=0.0\n", - "fixing (0,80,1) with x^2, r2=0.0\n", - "fixing (0,80,2) with x^2, r2=0.0\n", - "fixing (0,81,0) with x^2, r2=0.9999999633167932\n", - "fixing (0,81,1) with x^2, r2=0.9999999924423665\n", - "fixing (0,81,2) with x^2, r2=0.9999999407891473\n", - "fixing (0,82,0) with x^2, r2=0.0\n", - "fixing (0,82,1) with x^2, r2=0.0\n", - "fixing (0,82,2) with x^2, r2=0.0\n", - "fixing (0,83,0) with x^2, r2=0.9964873061598577\n", - "fixing (0,83,1) with x^2, r2=0.9999998536697641\n", - "fixing (0,83,2) with x^2, r2=0.9999999474125241\n", - "fixing (0,84,0) with x^2, r2=0.9999999434524759\n", - "fixing (0,84,1) with x^2, r2=0.9999999848500863\n", - "fixing (0,84,2) with x^2, r2=0.9999997362933968\n", - "fixing (0,85,0) with x^2, r2=0.9999784391692933\n", - "fixing (0,85,1) with x^2, r2=0.9999999123872062\n", - "fixing (0,85,2) with x^2, r2=0.9999981066188347\n", - "fixing (0,86,0) with x^2, r2=0.9999999470214042\n", - "fixing (0,86,1) with x^2, r2=0.9999999622653485\n", - "fixing (0,86,2) with x^2, r2=0.9999999256587131\n", - "fixing (0,87,0) with x^2, r2=0.9999838246792585\n", - "fixing (0,87,1) with x^2, r2=0.9999998906573028\n", - "fixing (0,87,2) with x^2, r2=0.9997398325048757\n", - "fixing (0,88,0) with x^2, r2=0.9999903305520499\n", - "fixing (0,88,1) with x^2, r2=0.9999999129937596\n", - "fixing (0,88,2) with x^2, r2=0.9999994338574667\n", - "fixing (0,89,0) with x^2, r2=0.9999999969824458\n", - "fixing (0,89,1) with x^2, r2=0.9999998811902262\n", - "fixing (0,89,2) with x^2, r2=0.9999999955608072\n", - "fixing (0,90,0) with x^2, r2=0.9999999968821633\n", - "fixing (0,90,1) with x^2, r2=0.9999999231999729\n", - "fixing (0,90,2) with x^2, r2=0.999999921201756\n", - "fixing (0,91,0) with x^2, r2=0.9999734544061402\n", - "fixing (0,91,1) with x^2, r2=0.9999966985161072\n", - "fixing (0,91,2) with x^2, r2=0.9999999489971586\n", - "fixing (0,92,0) with x^2, r2=0.9999999864791468\n", - "fixing (0,92,1) with x^2, r2=0.9999999698743414\n", - "fixing (0,92,2) with x^2, r2=0.9998985820640515\n", - "fixing (0,93,0) with x^2, r2=0.0\n", - "fixing (0,93,1) with x^2, r2=0.0\n", - "fixing (0,93,2) with x^2, r2=0.0\n", - "fixing (0,94,0) with x^2, r2=0.9999572021042229\n", - "fixing (0,94,1) with x^2, r2=0.9999999403042822\n", - "fixing (0,94,2) with x^2, r2=0.9999984955483119\n", - "fixing (0,95,0) with x^2, r2=0.0\n", - "fixing (0,95,1) with x^2, r2=0.0\n", - "fixing (0,95,2) with x^2, r2=0.0\n", - "fixing (0,96,0) with x^2, r2=0.0\n", - "fixing (0,96,1) with x^2, r2=0.0\n", - "fixing (0,96,2) with x^2, r2=0.0\n", - "fixing (0,97,0) with x^2, r2=0.9999999855742208\n", - "fixing (0,97,1) with x^2, r2=0.9999990622913814\n", - "fixing (0,97,2) with x^2, r2=0.9999999661558678\n", - "fixing (0,98,0) with x^2, r2=0.9999998924577429\n", - "fixing (0,98,1) with x^2, r2=0.9999999075025128\n", - "fixing (0,98,2) with x^2, r2=0.9999925555905432\n", - "fixing (0,99,0) with x^2, r2=0.0\n", - "fixing (0,99,1) with x^2, r2=0.0\n", - "fixing (0,99,2) with x^2, r2=0.0\n", - "fixing (0,100,0) with x^2, r2=0.9999999888884751\n", - "fixing (0,100,1) with x^2, r2=0.9999999053398424\n", - "fixing (0,100,2) with x^2, r2=0.9999999274642732\n", - "fixing (0,101,0) with x^2, r2=0.0\n", - "fixing (0,101,1) with x^2, r2=0.0\n", - "fixing (0,101,2) with x^2, r2=0.0\n", - "fixing (0,102,0) with x^2, r2=0.0\n", - "fixing (0,102,1) with x^2, r2=0.0\n", - "fixing (0,102,2) with x^2, r2=0.0\n", - "fixing (0,103,0) with x^2, r2=0.9999997998513549\n", - "fixing (0,103,1) with x^2, r2=0.9999999874737161\n", - "fixing (0,103,2) with x^2, r2=0.9999999891891058\n", - "fixing (0,104,0) with x^2, r2=0.0\n", - "fixing (0,104,1) with x^2, r2=0.0\n", - "fixing (0,104,2) with x^2, r2=0.0\n", - "fixing (1,0,0) with x^2, r2=0.9827286380576173\n", - "fixing (1,0,1) with x^2, r2=0.9753307156038028\n", - "fixing (1,1,0) with x^2, r2=0.99206369703365\n", - "fixing (1,1,1) with x^2, r2=0.9950033104451041\n", - "fixing (1,2,0) with x^2, r2=0.9980758555730187\n", - "fixing (1,2,1) with x^2, r2=0.9973139539011773\n" - ] - } - ], - "source": [ - "lib = ['x','x^2']\n", - "\n", - "model.auto_symbolic(lib=lib)" - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "id": "a62fc07c-1522-4425-8f99-9ab673943cf1", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle 0.44 \\left(0.02 \\left(- x_{1} - 1\\right)^{2} + 0.02 \\left(x_{10} + 1\\right)^{2} + 0.04 \\left(- x_{101} - 1\\right)^{2} + 0.01 \\left(- x_{13} - 1\\right)^{2} - 0.02 \\left(- x_{14} - 1\\right)^{2} - 0.02 \\left(- x_{15} - 1\\right)^{2} + 0.02 \\left(- x_{17} - 1\\right)^{2} + 0.03 \\left(x_{2} + 1\\right)^{2} - 0.01 \\left(x_{20} + 1\\right)^{2} - 0.01 \\left(x_{21} + 1\\right)^{2} - 0.03 \\left(- x_{24} - 1\\right)^{2} + 0.01 \\left(- x_{26} - 1\\right)^{2} - 0.02 \\left(- x_{29} - 1\\right)^{2} - 0.02 \\left(- x_{31} - 1\\right)^{2} + 0.01 \\left(x_{32} + 1\\right)^{2} + 0.01 \\left(- x_{33} - 1\\right)^{2} - 0.01 \\left(x_{37} + 1\\right)^{2} - 0.01 \\left(- x_{39} - 1\\right)^{2} - 0.01 \\left(- x_{40} - 1\\right)^{2} - 0.02 \\left(- x_{54} - 1\\right)^{2} + 0.02 \\left(- x_{58} - 1\\right)^{2} - 0.01 \\left(- x_{6} - 1\\right)^{2} - 0.01 \\left(- x_{66} - 1\\right)^{2} - 0.02 \\left(- x_{68} - 1\\right)^{2} + 0.02 \\left(- x_{69} - 1\\right)^{2} - 0.04 \\left(x_{70} + 1\\right)^{2} + 0.01 \\left(- x_{71} - 1\\right)^{2} + 0.03 \\left(- x_{73} - 1\\right)^{2} + 0.01 \\left(- x_{75} - 1\\right)^{2} + 0.01 \\left(- x_{76} - 1\\right)^{2} + 0.02 \\left(- x_{77} - 1\\right)^{2} - 0.01 \\left(- x_{82} - 1\\right)^{2} - 0.01 \\left(- x_{85} - 1\\right)^{2} - 0.02 \\left(x_{87} + 1\\right)^{2} - 0.01 \\left(x_{9} + 1\\right)^{2} - 0.04 \\left(x_{90} + 1\\right)^{2} + 0.03 \\left(- x_{91} - 1\\right)^{2} + 0.02 \\left(x_{93} + 1\\right)^{2} + 0.03 \\left(x_{98} + 1\\right)^{2} - 0.01 \\left(- x_{99} - 1\\right)^{2} - 1\\right)^{2} + 0.7 \\left(- 0.03 \\left(- x_{1} - 1\\right)^{2} - 0.02 \\left(x_{10} + 1\\right)^{2} + 0.02 \\left(x_{101} + 1\\right)^{2} - 0.03 \\left(x_{104} + 1\\right)^{2} + 0.05 \\left(- x_{13} - 1\\right)^{2} + 0.01 \\left(- x_{15} - 1\\right)^{2} - 0.05 \\left(x_{16} + 1\\right)^{2} - 0.02 \\left(- x_{17} - 1\\right)^{2} - 0.01 \\left(- x_{2} - 1\\right)^{2} + 0.01 \\left(- x_{21} - 1\\right)^{2} + 0.02 \\left(x_{24} + 1\\right)^{2} - 0.01 \\left(- x_{26} - 1\\right)^{2} + 0.01 \\left(- x_{27} - 1\\right)^{2} - 0.02 \\left(- x_{28} - 1\\right)^{2} - 0.03 \\left(- x_{29} - 1\\right)^{2} + 0.03 \\left(- x_{3} - 1\\right)^{2} + 0.04 \\left(- x_{31} - 1\\right)^{2} + 0.05 \\left(- x_{32} - 1\\right)^{2} + 0.03 \\left(- x_{34} - 1\\right)^{2} - 0.01 \\left(- x_{37} - 1\\right)^{2} + 0.02 \\left(- x_{39} - 1\\right)^{2} - 0.03 \\left(x_{40} + 1\\right)^{2} - 0.02 \\left(x_{41} + 1\\right)^{2} - 0.07 \\left(- x_{54} - 1\\right)^{2} + 0.09 \\left(- 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1\\right)^{2} + 0.02 \\left(- x_{16} - 1\\right)^{2} + 0.02 \\left(- x_{17} - 1\\right)^{2} + 0.02 \\left(- x_{20} - 1\\right)^{2} - 0.07 \\left(- x_{21} - 1\\right)^{2} + 0.05 \\left(x_{24} + 1\\right)^{2} + 0.05 \\left(- x_{26} - 1\\right)^{2} - 0.06 \\left(- x_{27} - 1\\right)^{2} - 0.01 \\left(- x_{28} - 1\\right)^{2} - 0.02 \\left(- x_{29} - 1\\right)^{2} - 0.02 \\left(x_{3} + 1\\right)^{2} + 0.06 \\left(- x_{31} - 1\\right)^{2} + 0.01 \\left(- x_{32} - 1\\right)^{2} + 0.05 \\left(- x_{34} - 1\\right)^{2} + 0.06 \\left(- x_{37} - 1\\right)^{2} + 0.03 \\left(- x_{38} - 1\\right)^{2} + 0.01 \\left(- x_{39} - 1\\right)^{2} - 0.13 \\left(- x_{54} - 1\\right)^{2} + 0.09 \\left(- x_{58} - 1\\right)^{2} - 0.04 \\left(x_{6} + 1\\right)^{2} + 0.02 \\left(x_{68} + 1\\right)^{2} + 0.07 \\left(x_{69} + 1\\right)^{2} + 0.04 \\left(- x_{7} - 1\\right)^{2} - 0.02 \\left(- x_{70} - 1\\right)^{2} + 0.08 \\left(- x_{71} - 1\\right)^{2} + 0.02 \\left(- x_{73} - 1\\right)^{2} + 0.03 \\left(- x_{75} - 1\\right)^{2} - 0.06 \\left(- x_{76} - 1\\right)^{2} + 0.02 \\left(- x_{77} - 1\\right)^{2} - 0.04 \\left(x_{79} + 1\\right)^{2} - 0.08 \\left(x_{82} + 1\\right)^{2} - 0.04 \\left(x_{84} + 1\\right)^{2} + 0.06 \\left(x_{85} + 1\\right)^{2} + 0.05 \\left(- x_{86} - 1\\right)^{2} + 0.07 \\left(- x_{87} - 1\\right)^{2} + 0.04 \\left(x_{88} + 1\\right)^{2} - 0.05 \\left(- x_{89} - 1\\right)^{2} + 0.12 \\left(x_{9} + 1\\right)^{2} - 0.02 \\left(x_{90} + 1\\right)^{2} - 0.02 \\left(- x_{91} - 1\\right)^{2} - 0.01 \\left(- x_{92} - 1\\right)^{2} - 0.04 \\left(- x_{93} - 1\\right)^{2} - 0.06 \\left(- x_{95} - 1\\right)^{2} + 0.01 \\left(x_{98} + 1\\right)^{2} - 0.05 \\left(- x_{99} - 1\\right)^{2} - 1\\right)^{2} - 0.57$" - ], - "text/plain": [ - "0.44*(0.02*(-x_1 - 1)**2 + 0.02*(x_10 + 1)**2 + 0.04*(-x_101 - 1)**2 + 0.01*(-x_13 - 1)**2 - 0.02*(-x_14 - 1)**2 - 0.02*(-x_15 - 1)**2 + 0.02*(-x_17 - 1)**2 + 0.03*(x_2 + 1)**2 - 0.e-2*(x_20 + 1)**2 - 0.e-2*(x_21 + 1)**2 - 0.03*(-x_24 - 1)**2 + 0.01*(-x_26 - 1)**2 - 0.02*(-x_29 - 1)**2 - 0.02*(-x_31 - 1)**2 + 0.01*(x_32 + 1)**2 + 0.01*(-x_33 - 1)**2 - 0.e-2*(x_37 + 1)**2 - 0.01*(-x_39 - 1)**2 - 0.e-2*(-x_40 - 1)**2 - 0.02*(-x_54 - 1)**2 + 0.02*(-x_58 - 1)**2 - 0.01*(-x_6 - 1)**2 - 0.01*(-x_66 - 1)**2 - 0.02*(-x_68 - 1)**2 + 0.02*(-x_69 - 1)**2 - 0.04*(x_70 + 1)**2 + 0.01*(-x_71 - 1)**2 + 0.03*(-x_73 - 1)**2 + 0.01*(-x_75 - 1)**2 + 0.01*(-x_76 - 1)**2 + 0.02*(-x_77 - 1)**2 - 0.01*(-x_82 - 1)**2 - 0.e-2*(-x_85 - 1)**2 - 0.02*(x_87 + 1)**2 - 0.e-2*(x_9 + 1)**2 - 0.04*(x_90 + 1)**2 + 0.03*(-x_91 - 1)**2 + 0.02*(x_93 + 1)**2 + 0.03*(x_98 + 1)**2 - 0.01*(-x_99 - 1)**2 - 1)**2 + 0.7*(-0.03*(-x_1 - 1)**2 - 0.02*(x_10 + 1)**2 + 0.02*(x_101 + 1)**2 - 0.03*(x_104 + 1)**2 + 0.05*(-x_13 - 1)**2 + 0.01*(-x_15 - 1)**2 - 0.05*(x_16 + 1)**2 - 0.02*(-x_17 - 1)**2 - 0.e-2*(-x_2 - 1)**2 + 0.01*(-x_21 - 1)**2 + 0.02*(x_24 + 1)**2 - 0.01*(-x_26 - 1)**2 + 0.01*(-x_27 - 1)**2 - 0.02*(-x_28 - 1)**2 - 0.03*(-x_29 - 1)**2 + 0.03*(-x_3 - 1)**2 + 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0.01*(-x_32 - 1)**2 + 0.05*(-x_34 - 1)**2 + 0.06*(-x_37 - 1)**2 + 0.03*(-x_38 - 1)**2 + 0.01*(-x_39 - 1)**2 - 0.13*(-x_54 - 1)**2 + 0.09*(-x_58 - 1)**2 - 0.04*(x_6 + 1)**2 + 0.02*(x_68 + 1)**2 + 0.07*(x_69 + 1)**2 + 0.04*(-x_7 - 1)**2 - 0.02*(-x_70 - 1)**2 + 0.08*(-x_71 - 1)**2 + 0.02*(-x_73 - 1)**2 + 0.03*(-x_75 - 1)**2 - 0.06*(-x_76 - 1)**2 + 0.02*(-x_77 - 1)**2 - 0.04*(x_79 + 1)**2 - 0.08*(x_82 + 1)**2 - 0.04*(x_84 + 1)**2 + 0.06*(x_85 + 1)**2 + 0.05*(-x_86 - 1)**2 + 0.07*(-x_87 - 1)**2 + 0.04*(x_88 + 1)**2 - 0.05*(-x_89 - 1)**2 + 0.12*(x_9 + 1)**2 - 0.02*(x_90 + 1)**2 - 0.02*(-x_91 - 1)**2 - 0.e-2*(-x_92 - 1)**2 - 0.04*(-x_93 - 1)**2 - 0.06*(-x_95 - 1)**2 + 0.01*(x_98 + 1)**2 - 0.05*(-x_99 - 1)**2 - 1)**2 - 0.57" - ] - }, - "execution_count": 12, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "formula1, formula2 = model.symbolic_formula()[0]\n", - "formula1" - ] - }, - { - "cell_type": "code", - "execution_count": 13, - "id": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.plot()" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "1f86e6c9-1896-478f-ac95-c7b73ae6c28d", - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.7" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/tutorials/Unchecked_symbolic_regression.ipynb b/tutorials/Unchecked_symbolic_regression.ipynb deleted file mode 100644 index 0b595b62..00000000 --- a/tutorials/Unchecked_symbolic_regression.ipynb +++ /dev/null @@ -1,5420 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "134e7f9d", - "metadata": {}, - "source": [ - "# Example 4: Symbolic Regression" - ] - }, - { - "cell_type": "markdown", - "id": "2571d531", - "metadata": {}, - "source": [ - "The symbolic space is very dense, which means getting the correct symbolic formula (if existing at all) is a hard task. We will show how sentitive symbolic regression is, especially in the presence of noise. This is good or bad:\n", - "\n", - "**Good**: One can easily find symbolic formulas that match with data quite well (within some tolerable epsilon). When one does not care about the exact symbolic formula, they might be happy with these approximate symbolic formulas that fit their data well. These approximate symbolic formulas provide some level of insight, have predictive power and are easy to compute.\n", - "\n", - "**Bad**: It's hard to find the exact formula. When one does care about the exact formula, we either care about (i) its generalizability in future cases (like Newton's gravity), or (ii) fitting the clean data or solving a PDE as precise as machine precision. For case (i), it is open-ended and requires case-by-case analysis. For case (ii), we can get a (hopefully) clear signal of the correctness of a symbolic formula by noticing the loss to go down to near machine precision. We will use an example to demonstrate this below." - ] - }, - { - "cell_type": "markdown", - "id": "7c308c65", - "metadata": {}, - "source": [ - "## Part I: Automated vs manual symbolic regression (How can we know that we get the exact formula?)" - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "id": "2075ef56", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "(torch.Size([1000, 2]), torch.Size([1000, 1]))" - ] - }, - "execution_count": 1, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "from kan import *\n", - "# create a KAN: 2D inputs, 1D output, and 5 hidden neurons. cubic spline (k=3), 5 grid intervals (grid=5).\n", - "model = KAN(width=[2,5,1], grid=5, k=3, seed=0)\n", - "\n", - "# create dataset f(x,y) = exp(sin(pi*x)+y^2)\n", - "f = lambda x: torch.exp(torch.sin(torch.pi*x[:,[0]]) + x[:,[1]]**2)\n", - "dataset = create_dataset(f, n_var=2)\n", - "dataset['train_input'].shape, dataset['train_label'].shape" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "id": "8aa1966d", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 1.54e-01 | test loss: 1.30e-01 | reg: 2.02e+01 : 100%|██| 20/20 [00:15<00:00, 1.26it/s]\n" - ] - } - ], - "source": [ - "# train the model\n", - "model.train(dataset, opt=\"LBFGS\", steps=20, lamb=0.01, lamb_entropy=10.);" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "id": "943d9182", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model = model.prune()\n", - "model(dataset['train_input'])\n", - "model.plot()" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "id": "4942984c", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "function , r2\n", - "sin , 0.9981093780355159\n", - "gaussian , 0.9360582190339871\n", - "tanh , 0.8616859029524302\n", - "sigmoid , 0.8585390273680941\n", - "arctan , 0.8428622193038047\n" - ] - }, - { - "data": { - "text/plain": [ - "('sin',\n", - " ((x)>, (x)>),\n", - " 0.9981093780355159)" - ] - }, - "execution_count": 4, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "# sin appears at the top of the suggestion list, which is good!\n", - "model.suggest_symbolic(0,0,0)" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "id": "3f1c41a6", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "function , r2\n", - "cosh , 0.9910665391502297\n", - "x^2 , 0.9885210310683376\n", - "gaussian , 0.9883627975330689\n", - "sin , 0.9843196558672351\n", - "x^4 , 0.9403353142717915\n" - ] - }, - { - "data": { - "text/plain": [ - "('cosh',\n", - " ((x)>, (x)>),\n", - " 0.9910665391502297)" - ] - }, - "execution_count": 5, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "# x^2 appears in the suggestion list (usually not top 1), but it is fine!\n", - "model.suggest_symbolic(0,1,0)" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "id": "01ff562d", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "function , r2\n", - "sin , 0.9995702405196035\n", - "x^2 , 0.9992413667649066\n", - "cosh , 0.9990483455142343\n", - "gaussian , 0.9989441353410312\n", - "tanh , 0.9986571504172722\n" - ] - }, - { - "data": { - "text/plain": [ - "('sin',\n", - " ((x)>, (x)>),\n", - " 0.9995702405196035)" - ] - }, - "execution_count": 6, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "# exp not even appears in the list (but note how high correlation of all these functions), which is sad!\n", - "model.suggest_symbolic(1,0,0)" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "id": "232b710b", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "function , r2\n", - "sin , 0.9995702405196035\n", - "x^2 , 0.9992413667649066\n", - "cosh , 0.9990483455142343\n", - "gaussian , 0.9989441353410312\n", - "tanh , 0.9986571504172722\n", - "sigmoid , 0.998657149375774\n", - "arctan , 0.9970617106973462\n", - "x^3 , 0.9962099497478061\n", - "x^4 , 0.9947572943342223\n", - "exp , 0.9913715887470934\n", - "1/x^4 , 0.9890801101893518\n", - "1/x^3 , 0.9884748093165208\n", - "1/x^2 , 0.9874565358732027\n", - "1/x , 0.9853279073610555\n", - "1/sqrt(x) , 0.9830898307444438\n" - ] - }, - { - "data": { - "text/plain": [ - "('sin',\n", - " ((x)>, (x)>),\n", - " 0.9995702405196035)" - ] - }, - "execution_count": 7, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "# let's try suggesting more by changing topk. Exp should appear in the list\n", - "# But it's very unclear why should we prefer exp over others. All of them have quite high correlation with the learned spline.\n", - "model.suggest_symbolic(1,0,0,topk=15)" - ] - }, - { - "cell_type": "markdown", - "id": "51844d0f", - "metadata": {}, - "source": [ - "Let's train more! The loss goes down and the splines should be more exact" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "id": "324937fe", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 4.74e-03 | test loss: 4.80e-03 | reg: 2.93e+00 : 100%|██| 20/20 [00:03<00:00, 6.47it/s]\n" - ] - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.train(dataset, opt=\"LBFGS\", steps=20);\n", - "model.plot()" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "id": "fb0f6758", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "function , r2\n", - "sin , 0.999987075018884\n", - "gaussian , 0.921655835107275\n", - "tanh , 0.8631397517896181\n", - "sigmoid , 0.8594117556407576\n", - "arctan , 0.8440367634049246\n" - ] - }, - { - "data": { - "text/plain": [ - "('sin',\n", - " ((x)>, (x)>),\n", - " 0.999987075018884)" - ] - }, - "execution_count": 9, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "# sin appears at the top of the suggestion list, which is good!\n", - "model.suggest_symbolic(0,0,0)" - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "id": "9a2406e8", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "function , r2\n", - "x^2 , 0.9999996930603142\n", - "cosh , 0.9999917592117541\n", - "gaussian , 0.9999827145861027\n", - "sin , 0.9980876045759569\n", - "abs , 0.9377603078924529\n" - ] - }, - { - "data": { - "text/plain": [ - "('x^2',\n", - " ((x)>, (x)>),\n", - " 0.9999996930603142)" - ] - }, - "execution_count": 10, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "# x^2 appears at the top of the suggestion list, which is good!\n", - "# But note how competitive cosh and gaussian are. They are also locally quadratic.\n", - "model.suggest_symbolic(0,1,0)" - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "id": "26dfe636", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "function , r2\n", - "exp , 0.9999987580912774\n", - "tanh , 0.9999187437583558\n", - "cosh , 0.9999121147442106\n", - "sigmoid , 0.9998776769631791\n", - "gaussian , 0.9998535744392626\n" - ] - }, - { - "data": { - "text/plain": [ - "('exp',\n", - " ((x)>, (x)>),\n", - " 0.9999987580912774)" - ] - }, - "execution_count": 11, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "# exp appears at the top of the suggestion list, which is good!\n", - "model.suggest_symbolic(1,0,0)" - ] - }, - { - "cell_type": "markdown", - "id": "a880bac4", - "metadata": {}, - "source": [ - "The takeaway is that symbolic regression is very sensitive to noise, so if we want to extract exact symbolic formulas from trained networks, the networks need to be trained to quite high accuracy!" - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "id": "0fd2e8b6", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "fixing (0,0,0) with sin, r2=0.999987075018884\n", - "fixing (0,1,0) with x^2, r2=0.9999996930603142\n", - "fixing (1,0,0) with exp, r2=0.9999987580912774\n" - ] - } - ], - "source": [ - "# now let's replace every activation function with its top 1 symbolic suggestion. This is implmented in auto_symbolic()\n", - "model.auto_symbolic()\n", - "\n", - "# if the user wants to constrain the symbolic space, they can pass in their symbolic libarary\n", - "# lib = ['sin', 'x^2', 'exp']\n", - "# model.auto_symbolic(lib=lib)" - ] - }, - { - "cell_type": "markdown", - "id": "a3d634fe", - "metadata": {}, - "source": [ - "After retraining, we get (almost) machine precision! This is the winning signal that this formula is (very likely to be) exact!" - ] - }, - { - "cell_type": "code", - "execution_count": 13, - "id": "9fcecc80", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 2.13e-10 | test loss: 2.78e-11 | reg: 2.93e+00 : 100%|██| 20/20 [00:01<00:00, 11.85it/s]\n" - ] - }, - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "model.train(dataset, opt=\"LBFGS\", steps=20);\n", - "model.plot()" - ] - }, - { - "cell_type": "code", - "execution_count": 14, - "id": "4eb022df", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle 1.0 e^{1.0 x_{2}^{2} + 1.0 \\sin{\\left(3.14 x_{1} \\right)}}$" - ], - "text/plain": [ - "1.0*exp(1.0*x_2**2 + 1.0*sin(3.14*x_1))" - ] - }, - "execution_count": 14, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "# obtaining symbolic formula\n", - "formula, variables = model.symbolic_formula()\n", - "formula[0]" - ] - }, - { - "cell_type": "code", - "execution_count": 15, - "id": "a8e794ba", - "metadata": { - "code_folding": [] - }, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle 1.0 e^{1.0 y^{2} + 1.0 \\sin{\\left(3.14 \\alpha \\right)}}$" - ], - "text/plain": [ - "1.0*exp(1.0*y**2 + 1.0*sin(3.14*\\alpha))" - ] - }, - "execution_count": 15, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "# if you want to rename your variables, you could use the \"var\" argument\n", - "formula, variables = model.symbolic_formula(var=['\\\\alpha','y'])\n", - "formula[0]" - ] - }, - { - "cell_type": "code", - "execution_count": 16, - "id": "a1349079", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle 3.14013671875 e^{1.0 y^{2} + 1.0 \\sin{\\left(3.14 \\alpha \\right)}} \\cos{\\left(3.14 \\alpha \\right)}$" - ], - "text/plain": [ - "3.14013671875*exp(1.0*y**2 + 1.0*sin(3.14*\\alpha))*cos(3.14*\\alpha)" - ] - }, - "execution_count": 16, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "# one can even postprocess the formula (e.g., taking derivatives)\n", - "from sympy import *\n", - "diff(formula[0], variables[0])" - ] - }, - { - "cell_type": "markdown", - "id": "4474d38d", - "metadata": {}, - "source": [ - "When do we know the formula we guessed is wrong (not exact)? If the data is clean (no noise), we should see the training loss does not reach machine precision" - ] - }, - { - "cell_type": "code", - "execution_count": 17, - "id": "22529272", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "r2 is 0.999993562134913\n" - ] - }, - { - "data": { - "text/plain": [ - "tensor(1.0000)" - ] - }, - "execution_count": 17, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "# let's replace (0,1,0) with cosh\n", - "model.fix_symbolic(0,1,0,'cosh')" - ] - }, - { - "cell_type": "code", - "execution_count": 18, - "id": "404dbd96", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 1.26e-03 | test loss: 1.28e-03 | reg: 2.93e+00 : 100%|██| 20/20 [00:03<00:00, 6.54it/s]\n" - ] - }, - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "# this loss is stuck at around 1e-3 RMSE, which is good, but not machine precision.\n", - "model.train(dataset, opt=\"LBFGS\", steps=20);\n", - "model.plot()" - ] - }, - { - "cell_type": "markdown", - "id": "2318c655", - "metadata": {}, - "source": [ - "## Part II: How hard (ill-defined) is symbolic regression, really?\n", - "\n", - "In part I, we show how people can use KANs for symbolic regression, but caveat that we need to train KANs to quite high precision. This is not a problem specific to KANs though; this issue originates from symbolic regression. The space of symbolic formulas is actually quite dense, so tiny noise can make one symbolic formula transit to another. " - ] - }, - { - "cell_type": "markdown", - "id": "a4d76348", - "metadata": {}, - "source": [ - "### 1D example: Adding noise to a bounded region sine" - ] - }, - { - "cell_type": "code", - "execution_count": 19, - "id": "73dd7978", - "metadata": {}, - "outputs": [], - "source": [ - "def toy(bound=1., noise=0., fun=lambda x: torch.sin(torch.pi*x)):\n", - "\n", - " num_pts = 101\n", - " x = torch.linspace(-bound,bound,steps=num_pts)\n", - " x = x[:,None]\n", - " y = fun(x) + torch.normal(0,1,size=(num_pts,)) * noise\n", - " dataset = {}\n", - " dataset['train_input'] = dataset['test_input'] = x\n", - " dataset['train_label'] = dataset['test_label'] = y\n", - " model = KAN(width=[1,1], grid=5, k=3, seed=0, grid_range=(-bound,bound))\n", - " model.train(dataset, opt=\"LBFGS\", steps=20)\n", - " model.suggest_symbolic(0,0,0)\n", - " model.plot()" - ] - }, - { - "cell_type": "code", - "execution_count": 20, - "id": "2e129909", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 2.79e-03 | test loss: 2.79e-03 | reg: 3.12e-01 : 100%|██| 20/20 [00:01<00:00, 13.38it/s]\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "function , r2\n", - "sin , 0.9999842278946689\n", - "gaussian , 0.9184406012010798\n", - "tanh , 0.8635381099424172\n", - "sigmoid , 0.8601324746874981\n", - "arctan , 0.845004037750832\n" - ] - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "# when the function is whole range \"bound=1.\"\" (captures a whole period of sine) and has zero noise \"noise=0.\"\n", - "# it is quite clear the function is clear\n", - "toy()" - ] - }, - { - "cell_type": "code", - "execution_count": 21, - "id": "b260de36", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 9.30e-01 | test loss: 9.30e-01 | reg: 3.12e-01 : 100%|██| 20/20 [00:00<00:00, 40.68it/s]\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "function , r2\n", - "sin , 0.9999842278898873\n", - "gaussian , 0.9184406080128915\n", - "tanh , 0.8635381682633535\n", - "sigmoid , 0.8601325311561702\n", - "arctan , 0.8450040982073312\n" - ] - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "# even with large noise, sine can be revealed, yeah!\n", - "toy(noise=1.)" - ] - }, - { - "cell_type": "code", - "execution_count": 22, - "id": "b429397b", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 9.30e-02 | test loss: 9.30e-02 | reg: 7.15e-01 : 100%|██| 20/20 [00:00<00:00, 43.08it/s]\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "function , r2\n", - "sin , 0.9999916591202906\n", - "arctan , 0.9999847147948822\n", - "tanh , 0.999984517365484\n", - "x , 0.9999796669306419\n", - "abs , 0.9999796669306419\n" - ] - }, - { - "data": { - "image/png": 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- "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "# but when bound is small and there is noise, it starts to screw up (at least becomes less clear why we should prefer sine)\n", - "toy(bound = 0.1, noise=0.1)" - ] - }, - { - "cell_type": "markdown", - "id": "c2ec089e", - "metadata": {}, - "source": [ - "### Phase diagram of symbolic regression (how fratcal/chaotic is my phase diagram?)" - ] - }, - { - "cell_type": "markdown", - "id": "29f51b09", - "metadata": {}, - "source": [ - "#### mix three functions $f_1(x)={\\rm sin}(x)$, $f_2(x)=x^2$, and $f_3(x)={\\rm exp}(x)$ such that $f(x)=af_1(x)+bf_2(x)+(1-a-b)f_3(x)$. Symbolically regress $f(x)$." - ] - }, - { - "cell_type": "code", - "execution_count": 23, - "id": "b76dfc4a", - "metadata": { - "code_folding": [] - }, - "outputs": [], - "source": [ - "def mix(a, b, bound=1):\n", - " num_pts = 101\n", - " x = torch.linspace(-bound,bound,steps=num_pts)\n", - " x = x[:,None]\n", - " y = a * torch.sin(x) + b * x**2 + (1-a-b) * torch.exp(x)\n", - " dataset = {}\n", - " dataset['train_input'] = dataset['test_input'] = x\n", - " dataset['train_label'] = dataset['test_label'] = y\n", - " model = KAN(width=[1,1], grid=10, k=3, seed=0, grid_range=(-bound,bound))\n", - " model.train(dataset, opt=\"LBFGS\", steps=20)\n", - " return model.suggest_symbolic(0,0,0)[0]\n", - " " - ] - }, - { - "cell_type": "code", - "execution_count": 24, - "id": "372aabd8", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 2.40e-06 | test loss: 2.40e-06 | reg: 2.64e-01 : 100%|██| 20/20 [00:00<00:00, 29.47it/s]\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "function , r2\n", - "cosh , 0.999997477547859\n", - "exp , 0.9999670134850122\n", - "sigmoid , 0.9999606621996252\n", - "tanh , 0.9999524925435431\n", - "1/x^4 , 0.9999517925552405\n" - ] - }, - { - "data": { - "text/plain": [ - "'cosh'" - ] - }, - "execution_count": 24, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "mix(a=0.2, b=0.0)" - ] - }, - { - "cell_type": "code", - "execution_count": 25, - "id": "9166ca69", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 2.77e-06 | test loss: 2.77e-06 | reg: 2.72e-01 : 100%|██| 20/20 [00:00<00:00, 43.39it/s]\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "function , r2\n", - "exp , 0.9999999999827021\n", - "cosh , 0.9999999999827017\n", - "tanh , 0.999973163748351\n", - "sigmoid , 0.9999497922899572\n", - "1/x^4 , 0.9999369992759012\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 2.52e-06 | test loss: 2.52e-06 | reg: 2.45e-01 : 100%|██| 20/20 [00:01<00:00, 17.30it/s]\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "function , r2\n", - "cosh , 0.9999988787247418\n", - "x^4 , 0.9999910879853997\n", - "gaussian , 0.999967486241568\n", - "tanh , 0.9999518786252838\n", - "sigmoid , 0.999948450438625\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 2.28e-06 | test loss: 2.28e-06 | reg: 2.18e-01 : 100%|██| 20/20 [00:00<00:00, 43.13it/s]\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "function , r2\n", - "cosh , 0.9999946575638085\n", - "x^3 , 0.9999164116905525\n", - "gaussian , 0.9997468080512466\n", - "x^4 , 0.9996076211798797\n", - "tanh , 0.9995835694860234\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 2.04e-06 | test loss: 2.04e-06 | reg: 1.94e-01 : 100%|██| 20/20 [00:00<00:00, 39.90it/s]\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "function , r2\n", - "cosh , 0.9999854846669585\n", - "x^3 , 0.9988138920172807\n", - "gaussian , 0.9985227715662934\n", - "x^2 , 0.998477650070286\n", - "sin , 0.9981948138629363\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 1.80e-06 | test loss: 1.80e-06 | reg: 1.71e-01 : 100%|██| 20/20 [00:00<00:00, 39.65it/s]\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "function , r2\n", - "cosh , 0.9999662581221136\n", - "x^2 , 0.9986097449347123\n", - "sin , 0.998284128651733\n", - "x^3 , 0.9936582971043266\n", - "gaussian , 0.9936463187510403\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 1.55e-06 | test loss: 1.55e-06 | reg: 1.51e-01 : 100%|██| 20/20 [00:00<00:00, 44.84it/s]\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "function , r2\n", - "cosh , 0.9999418178114038\n", - "x^2 , 0.9987944480619438\n", - "sin , 0.9984323316332249\n", - "gaussian , 0.9949686832586251\n", - "tanh , 0.9764364382302457\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 1.31e-06 | test loss: 1.31e-06 | reg: 1.36e-01 : 100%|██| 20/20 [00:00<00:00, 39.78it/s]\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "function , r2\n", - "cosh , 0.9999041816268858\n", - "x^2 , 0.9990436001283093\n", - "sin , 0.9986633245000535\n", - "gaussian , 0.9958810456319825\n", - "tanh , 0.9380270364085883\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 1.07e-06 | test loss: 1.07e-06 | reg: 1.29e-01 : 100%|██| 20/20 [00:00<00:00, 40.74it/s]\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "function , r2\n", - "cosh , 0.9998655818685623\n", - "x^2 , 0.9993505000566273\n", - "sin , 0.9989811585960545\n", - "gaussian , 0.9916259900602326\n", - "x^4 , 0.9172564495092251\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 8.32e-07 | test loss: 8.32e-07 | reg: 1.27e-01 : 100%|██| 20/20 [00:00<00:00, 44.57it/s]\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "function , r2\n", - "x^2 , 0.9996700824962792\n", - "sin , 0.9993888581205067\n", - "cosh , 0.998561267814873\n", - "gaussian , 0.9707186857583728\n", - "abs , 0.9254006963892939\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 6.00e-07 | test loss: 6.00e-07 | reg: 1.30e-01 : 100%|██| 20/20 [00:00<00:00, 44.38it/s]\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "function , r2\n", - "x^2 , 0.9999132817985119\n", - "sin , 0.9994936051757877\n", - "gaussian , 0.9994851357951505\n", - "cosh , 0.987913942212583\n", - "abs , 0.933975094122013\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 3.79e-07 | test loss: 3.79e-07 | reg: 1.38e-01 : 100%|██| 20/20 [00:00<00:00, 43.23it/s]\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "function , r2\n", - "x^2 , 0.9999999998837575\n", - "cosh , 0.9999099009608192\n", - "gaussian , 0.9997105669072212\n", - "sin , 0.9989290599804755\n", - "abs , 0.93740817498461\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 2.58e-06 | test loss: 2.58e-06 | reg: 2.68e-01 : 100%|██| 20/20 [00:00<00:00, 27.79it/s]\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "function , r2\n", - "arctan , 0.9999798378098914\n", - "cosh , 0.9999771001456361\n", - "tanh , 0.9999633902076488\n", - "sigmoid , 0.9999541433147963\n", - "1/x^4 , 0.9999236487568766\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 2.34e-06 | test loss: 2.34e-06 | reg: 2.40e-01 : 100%|██| 20/20 [00:00<00:00, 20.99it/s]\n" - ] - }, - { - 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- "train loss: 1.38e-06 | test loss: 1.38e-06 | reg: 7.70e-02 : 100%|██| 20/20 [00:00<00:00, 48.12it/s]\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "function , r2\n", - "cosh , 0.9268644000446836\n", - "x^4 , 0.9112716246650874\n", - "x^2 , 0.8865324039130013\n", - "sin , 0.8842948895377678\n", - "gaussian , 0.8094804211038418\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 1.60e-06 | test loss: 1.60e-06 | reg: 1.05e-01 : 100%|██| 20/20 [00:00<00:00, 44.20it/s]\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "function , r2\n", - "cosh , 0.9740201843349593\n", - "x^4 , 0.9673225582521513\n", - "gaussian , 0.952288197814531\n", - "tanh , 0.9497276520343576\n", - "sigmoid , 0.9497237037538462\n" - ] - } - ], - "source": [ - "# let's do a phase diagram, which looks quite \"fractal\"\n", - "num = 11\n", - "a_arr = np.linspace(0,1,num=num)\n", - "b_arr = np.linspace(0,1,num=num)\n", - "sf_mat = np.empty((num,num), dtype='U8')\n", - "\n", - "for i in range(num):\n", - " for j in range(num):\n", - " a = a_arr[i]; b = b_arr[j]\n", - " sf_mat[i,j] = mix(a, b)" - ] - }, - { - "cell_type": "code", - "execution_count": 26, - "id": "7c60506b", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 26, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "classes = list(set(sf_mat.reshape(-1,)))\n", - "n_class = len(classes)\n", - "\n", - "colors = np.random.rand(n_class,4)\n", - "dic = {}\n", - "for i in range(n_class):\n", - " dic[classes[i]] = colors[i]\n", - " \n", - "\n", - "img = np.zeros((num,num,4))\n", - "for i in range(num):\n", - " for j in range(num):\n", - " img[i][j] = dic[sf_mat[i][j]]\n", - "plt.imshow(img)" - ] - }, - { - "cell_type": "markdown", - "id": "16bfe1f1", - "metadata": {}, - "source": [ - "Does this mean symbolic regression is screwed? The hope is that by incorporating reasonable inductive biases (hence reducing the symbolic search space), SR will become more robust." - ] - }, - { - "cell_type": "code", - "execution_count": 27, - "id": "39598bda", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "dict_keys(['x', 'x^2', 'x^3', 'x^4', '1/x', '1/x^2', '1/x^3', '1/x^4', 'sqrt', '1/sqrt(x)', 'exp', 'log', 'abs', 'sin', 'tan', 'tanh', 'sigmoid', 'sgn', 'arcsin', 'arctan', 'arctanh', '0', 'gaussian', 'cosh'])" - ] - }, - "execution_count": 27, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "# we have used the default symbolic library whch contains the following functions\n", - "SYMBOLIC_LIB.keys()" - ] - }, - { - "cell_type": "code", - "execution_count": 28, - "id": "61234166", - "metadata": {}, - "outputs": [], - "source": [ - "# we may constrain to a smaller library (pass as parameter \"lib=lib\" in suggest_symbolic)\n", - "lib = ['exp', 'x^2', 'sin']\n", - "def mix(a, b, bound=1):\n", - " num_pts = 101\n", - " x = torch.linspace(-bound,bound,steps=num_pts)\n", - " x = x[:,None]\n", - " y = a * torch.sin(x) + b * x**2 + (1-a-b) * torch.exp(x)\n", - " dataset = {}\n", - " dataset['train_input'] = dataset['test_input'] = x\n", - " dataset['train_label'] = dataset['test_label'] = y\n", - " model = KAN(width=[1,1], grid=10, k=3, seed=0, grid_range=(-bound,bound))\n", - " model.train(dataset, opt=\"LBFGS\", steps=20)\n", - " return model.suggest_symbolic(0,0,0,lib=lib)[0]\n" - ] - }, - { - "cell_type": "code", - "execution_count": 29, - "id": "908b77ea", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "train loss: 2.17e-08 | test loss: 2.17e-08 | reg: 2.58e-01 : 100%|██| 20/20 [00:00<00:00, 45.44it/s]\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "function , r2\n", - "exp , 0.9999999999999639\n", - "x^2 , 0.9999841274399789\n", - "sin , 0.9999195962429422\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - 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] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "function , r2\n", - "x^2 , 0.9896966425177599\n", - "sin , 0.985121456003004\n", - "exp , 0.508387788052642\n" - ] - } - ], - "source": [ - "# we can redo the analysis for a more contrained (bound) region. The phase diagram becomes even more \"fractal\"\n", - "num = 11\n", - "a_arr = np.linspace(0,1,num=num)\n", - "b_arr = np.linspace(0,1,num=num)\n", - "sf_mat = np.empty((num,num), dtype='U8')\n", - "\n", - "for i in range(num):\n", - " for j in range(num):\n", - " a = a_arr[i]; b = b_arr[j]\n", - " sf_mat[i,j] = mix(a, b, bound=0.3)" - ] - }, - { - "cell_type": "code", - "execution_count": 30, - "id": "759c31f7", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 30, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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RMXz48G77hw8f3vXaf2pqaoqampqurb6+vpwjAdCDVeTbcf369ev2c1EUh+z70IIFC6Ktra1ra21trcRIAPRAZX28d21tbUT8e0U0YsSIrv27du06ZHX0oVKpFKVSqZxjANBLlHUl1NDQELW1tdHS0tK1b//+/bF27dqYNGlSOU8FQB/wuVdCe/fujW3btnX9vH379ti8eXMMGTIkRo4cGXPnzo3FixfH6NGjY/To0bF48eIYNGhQXHvttWUdHIDe73NH6JVXXomLLrqo6+d58+ZFRMSMGTPil7/8ZXz/+9+PDz74IGbNmhW7d++Or3/96/HMM89EdXV1+aYGoE/oVxRFkT3E/6+9vT1qampi05//T1RXD8weB6BX2T3/v7NHiL3/6oyL/mdTtLW1xeDBgz/xWPeOAyCNCAGQRoQASCNCAKQRIQDSiBAAaUQIgDQiBEAaEQIgTVnvol0OH97AYe/eD5InAeh99v6rM3uE2Pf/ZvgsN+Tpcbft+dvf/ubBdgB9QGtra5x88smfeEyPi9DBgwfj3Xffjerq6o99EN6naW9vj/r6+mhtbf3U+xb1da5Fd67HR1yLj7gWHynHtSiKIvbs2RN1dXVxzDGf/KlPj/tz3DHHHPOp5fysBg8efNT/D/Uh16I71+MjrsVHXIuPfNlrUVNT85mO88UEANKIEABp+mSESqVS3H333VEqlbJHSedadOd6fMS1+Ihr8ZEjfS163BcTADh69MmVEAC9gwgBkEaEAEgjQgCk6ZMRevDBB6OhoSEGDBgQEyZMiOeffz57pCOuqakpzjnnnKiuro5hw4bFFVdcEVu2bMkeq0doamqKfv36xdy5c7NHSfHOO+/E9ddfH0OHDo1BgwbF2WefHRs3bsweK8WBAwfirrvuioaGhhg4cGCceuqpcd9998XBgwezR6u4devWxfTp06Ouri769esXTz75ZLfXi6KIe+65J+rq6mLgwIFx4YUXxptvvln2OfpchFavXh1z586NhQsXxqZNm+K8886LqVOnxo4dO7JHO6LWrl0bs2fPjpdeeilaWlriwIED0djYGPv27cseLdWGDRuiubk5zjzzzOxRUuzevTsmT54cxx13XDz99NPx5z//OX7+85/HCSeckD1aiiVLlsRDDz0Uy5cvj7/85S9x//33x09/+tN44IEHskeruH379sVZZ50Vy5cvP+zr999/fyxdujSWL18eGzZsiNra2rj00ktjz5495R2k6GO+9rWvFTNnzuy2b8yYMcWdd96ZNFHPsGvXriIiirVr12aPkmbPnj3F6NGji5aWluKCCy4o5syZkz3SETd//vxiypQp2WP0GNOmTStuuummbvuuvPLK4vrrr0+aKEdEFE888UTXzwcPHixqa2uLn/zkJ137/vnPfxY1NTXFQw89VNZz96mV0P79+2Pjxo3R2NjYbX9jY2OsX78+aaqeoa2tLSIihgwZkjxJntmzZ8e0adPikksuyR4lzZo1a2LixIlx1VVXxbBhw2L8+PHx8MMPZ4+VZsqUKfHss8/G1q1bIyLitddeixdeeCEuu+yy5Mlybd++PXbu3NntvbRUKsUFF1xQ9vfSHncD0y/jvffei87Ozhg+fHi3/cOHD4+dO3cmTZWvKIqYN29eTJkyJcaNG5c9TorHH388Xn311diwYUP2KKneeuutWLFiRcybNy9+8IMfxMsvvxy33XZblEql+M53vpM93hE3f/78aGtrizFjxkRVVVV0dnbGokWL4pprrskeLdWH75eHey99++23y3quPhWhD/3nIyCKovjCj4XoC2655ZZ4/fXX44UXXsgeJUVra2vMmTMnnnnmmRgwYED2OKkOHjwYEydOjMWLF0dExPjx4+PNN9+MFStWHJURWr16dTz66KOxatWqGDt2bGzevDnmzp0bdXV1MWPGjOzx0h2J99I+FaGTTjopqqqqDln17Nq165CiHy1uvfXWWLNmTaxbt65sj8jobTZu3Bi7du2KCRMmdO3r7OyMdevWxfLly6OjoyOqqqoSJzxyRowYEaeffnq3faeddlr8+te/Tpoo1x133BF33nlnXH311RERccYZZ8Tbb78dTU1NR3WEamtrI+LfK6IRI0Z07a/Ee2mf+kyof//+MWHChGhpaem2v6WlJSZNmpQ0VY6iKOKWW26J3/zmN/HHP/4xGhoaskdKc/HFF8cbb7wRmzdv7tomTpwY1113XWzevPmoCVBExOTJkw/5qv7WrVtj1KhRSRPlev/99w956FpVVdVR8RXtT9LQ0BC1tbXd3kv3798fa9euLft7aZ9aCUVEzJs3L2644YaYOHFinHvuudHc3Bw7duyImTNnZo92RM2ePTtWrVoVTz31VFRXV3etDmtqamLgwIHJ0x1Z1dXVh3wWdvzxx8fQoUOPus/Ibr/99pg0aVIsXrw4vvWtb8XLL78czc3N0dzcnD1aiunTp8eiRYti5MiRMXbs2Ni0aVMsXbo0brrppuzRKm7v3r2xbdu2rp+3b98emzdvjiFDhsTIkSNj7ty5sXjx4hg9enSMHj06Fi9eHIMGDYprr722vIOU9bt2PcQvfvGLYtSoUUX//v2Lr371q0fl15Ij4rDbI488kj1aj3C0fkW7KIrit7/9bTFu3LiiVCoVY8aMKZqbm7NHStPe3l7MmTOnGDlyZDFgwIDi1FNPLRYuXFh0dHRkj1Zxf/rTnw77HjFjxoyiKP79Ne277767qK2tLUqlUnH++ecXb7zxRtnn8CgHANL0qc+EAOhdRAiANCIEQBoRAiCNCAGQRoQASCNCAKQRIQDSiBAAaUQIgDQiBEAaEQIgzf8FnJlyumuHwlcAAAAASUVORK5CYII=\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "classes = list(set(sf_mat.reshape(-1,)))\n", - "n_class = len(classes)\n", - "\n", - "colors = np.random.rand(n_class,4)\n", - "dic = {}\n", - "for i in range(n_class):\n", - " dic[classes[i]] = colors[i]\n", - " \n", - "\n", - "img = np.zeros((num,num,4))\n", - "for i in range(num):\n", - " for j in range(num):\n", - " img[i][j] = dic[sf_mat[i][j]]\n", - "plt.imshow(img)" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.7" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/tutorials/todo b/tutorials/todo deleted file mode 100644 index c4117804..00000000 --- a/tutorials/todo +++ /dev/null @@ -1,18 +0,0 @@ -Done: -high performance mode (set save_plot_data=False, symbolic_enabled=False) -compiler -pruning new featuers (prune node & prune edge) -LBFGS deterministic behavior -save checkpoint -feature importance -prune inputs - - -Todo: -(Feature-oriented) -make inputs learnable -prune inputs -use KAN as a module -support GPU -[Github issues] -Feynman : hypothesis, module, augment_input \ No newline at end of file