From 6581ba7d5b798fabeb9bd62f2351a8d86ae1fdd1 Mon Sep 17 00:00:00 2001 From: Xavier Bresson Date: Sun, 1 Oct 2017 11:59:30 +0800 Subject: [PATCH] first commit --- ...tandard_convnet_lenet5_mnist_pytorch.ipynb | 575 + 02_graph_convnet_lenet5_mnist_pytorch.ipynb | 746 + README.md | 87 + check_install.py | 33 + lib/coarsening.py | 318 + lib/grid_graph.py | 70 + pic/github100.jpg | Bin 0 -> 20039 bytes pic/graph_convnet.jpg | Bin 0 -> 188132 bytes pic/home100.jpg | Bin 0 -> 18304 bytes pic/picture.pptx | Bin 0 -> 11308232 bytes pic/twitter100.jpg | Bin 0 -> 19966 bytes requirements.txt | 9 + ...standard_convnet_lenet5_mnist_pytorch.html | 12372 +++++++++++++++ ...02_graph_convnet_lenet5_mnist_pytorch.html | 12559 ++++++++++++++++ 14 files changed, 26769 insertions(+) create mode 100644 01_standard_convnet_lenet5_mnist_pytorch.ipynb create mode 100644 02_graph_convnet_lenet5_mnist_pytorch.ipynb create mode 100644 README.md create mode 100755 check_install.py create mode 100644 lib/coarsening.py create mode 100644 lib/grid_graph.py create mode 100644 pic/github100.jpg create mode 100644 pic/graph_convnet.jpg create mode 100644 pic/home100.jpg create mode 100644 pic/picture.pptx create mode 100644 pic/twitter100.jpg create mode 100644 requirements.txt create mode 100644 results_html/01_standard_convnet_lenet5_mnist_pytorch.html create mode 100644 results_html/02_graph_convnet_lenet5_mnist_pytorch.html diff --git a/01_standard_convnet_lenet5_mnist_pytorch.ipynb b/01_standard_convnet_lenet5_mnist_pytorch.ipynb new file mode 100644 index 0000000..26145d4 --- /dev/null +++ b/01_standard_convnet_lenet5_mnist_pytorch.ipynb @@ -0,0 +1,575 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Convolutional Neural Networks\n", + "## Standard LeNet5 with PyTorch\n", + "### Xavier Bresson, Sept. 2017" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Implementation of original LeNet5 Convolutional Neural Networks:
\n", + "Gradient-based learning applied to document recognition
\n", + "Y LeCun, L Bottou, Y Bengio, P Haffner
\n", + "Proceedings of the IEEE 86 (11), 2278-2324
" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "cuda available\n" + ] + } + ], + "source": [ + "import torch\n", + "from torch.autograd import Variable\n", + "import torch.nn.functional as F\n", + "import torch.nn as nn\n", + "import pdb #pdb.set_trace()\n", + "import collections\n", + "import time\n", + "import numpy as np\n", + "\n", + "import os\n", + "os.environ[\"CUDA_DEVICE_ORDER\"]=\"PCI_BUS_ID\"\n", + "os.environ[\"CUDA_VISIBLE_DEVICES\"]=\"0\"\n", + "\n", + "if torch.cuda.is_available():\n", + " print('cuda available')\n", + " dtypeFloat = torch.cuda.FloatTensor\n", + " dtypeLong = torch.cuda.LongTensor\n", + " torch.cuda.manual_seed(1)\n", + "else:\n", + " print('cuda not available')\n", + " dtypeFloat = torch.FloatTensor\n", + " dtypeLong = torch.LongTensor\n", + " torch.manual_seed(1)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# MNIST" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Extracting datasets/train-images-idx3-ubyte.gz\n", + "Extracting datasets/train-labels-idx1-ubyte.gz\n", + "Extracting datasets/t10k-images-idx3-ubyte.gz\n", + "Extracting datasets/t10k-labels-idx1-ubyte.gz\n", + "(55000, 784)\n", + "(55000,)\n", + "(5000, 784)\n", + "(5000,)\n", + "(10000, 784)\n", + "(10000,)\n" + ] + } + ], + "source": [ + "from tensorflow.examples.tutorials.mnist import input_data\n", + "mnist = input_data.read_data_sets('datasets', one_hot=False) # load data in folder datasets/\n", + "\n", + "train_data = mnist.train.images.astype(np.float32)\n", + "val_data = mnist.validation.images.astype(np.float32)\n", + "test_data = mnist.test.images.astype(np.float32)\n", + "train_labels = mnist.train.labels\n", + "val_labels = mnist.validation.labels\n", + "test_labels = mnist.test.labels\n", + "print(train_data.shape)\n", + "print(train_labels.shape)\n", + "print(val_data.shape)\n", + "print(val_labels.shape)\n", + "print(test_data.shape)\n", + "print(test_labels.shape)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# ConvNet LeNet5\n", + "### Layers: CL32-MP4-CL64-MP4-FC512-FC10" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "collapsed": true, + "scrolled": false + }, + "outputs": [], + "source": [ + "# class definition\n", + "class ConvNet_LeNet5(nn.Module):\n", + " \n", + " def __init__(self, net_parameters):\n", + " \n", + " print('ConvNet: LeNet5\\n')\n", + " \n", + " super(ConvNet_LeNet5, self).__init__()\n", + " \n", + " Nx, Ny, CL1_F, CL1_K, CL2_F, CL2_K, FC1_F, FC2_F = net_parameters\n", + " FC1Fin = CL2_F*(Nx//4)**2\n", + " \n", + " # graph CL1\n", + " self.conv1 = nn.Conv2d(1, CL1_F, CL1_K, padding=(2, 2))\n", + " Fin = CL1_K**2; Fout = CL1_F;\n", + " scale = np.sqrt( 2.0/ (Fin+Fout) )\n", + " self.conv1.weight.data.uniform_(-scale, scale)\n", + " self.conv1.bias.data.fill_(0.0)\n", + " \n", + " # graph CL2\n", + " self.conv2 = nn.Conv2d(CL1_F, CL2_F, CL2_K, padding=(2, 2))\n", + " Fin = CL1_F*CL2_K**2; Fout = CL2_F;\n", + " scale = np.sqrt( 2.0/ (Fin+Fout) )\n", + " self.conv2.weight.data.uniform_(-scale, scale)\n", + " self.conv2.bias.data.fill_(0.0)\n", + " \n", + " # FC1\n", + " self.fc1 = nn.Linear(FC1Fin, FC1_F) \n", + " Fin = FC1Fin; Fout = FC1_F;\n", + " scale = np.sqrt( 2.0/ (Fin+Fout) )\n", + " self.fc1.weight.data.uniform_(-scale, scale)\n", + " self.fc1.bias.data.fill_(0.0)\n", + " self.FC1Fin = FC1Fin\n", + " \n", + " # FC2\n", + " self.fc2 = nn.Linear(FC1_F, FC2_F)\n", + " Fin = FC1_F; Fout = FC2_F;\n", + " scale = np.sqrt( 2.0/ (Fin+Fout) )\n", + " self.fc2.weight.data.uniform_(-scale, scale)\n", + " self.fc2.bias.data.fill_(0.0)\n", + " \n", + " # max pooling\n", + " self.pool = nn.MaxPool2d(2, 2)\n", + " \n", + " \n", + " def forward(self, x, d):\n", + " \n", + " # CL1\n", + " x = self.conv1(x) \n", + " x = F.relu(x)\n", + " x = self.pool(x)\n", + "\n", + " # CL2\n", + " x = self.conv2(x) \n", + " x = F.relu(x)\n", + " x = self.pool(x)\n", + "\n", + " # FC1\n", + " x = x.permute(0,3,2,1).contiguous() # reshape from pytorch array to tensorflow array\n", + " x = x.view(-1, self.FC1Fin)\n", + " x = self.fc1(x)\n", + " x = F.relu(x)\n", + " x = nn.Dropout(d)(x)\n", + " \n", + " # FC2\n", + " x = self.fc2(x)\n", + " \n", + " return x\n", + " \n", + " \n", + " def loss(self, y, y_target, l2_regularization):\n", + " \n", + " loss = nn.CrossEntropyLoss()(y,y_target)\n", + "\n", + " l2_loss = 0.0\n", + " for param in self.parameters():\n", + " data = param* param\n", + " l2_loss += data.sum()\n", + " \n", + " loss += 0.5* l2_regularization* l2_loss\n", + " \n", + " return loss\n", + " \n", + " \n", + " def update(self, lr):\n", + " \n", + " update = torch.optim.SGD( self.parameters(), lr=lr, momentum=0.9 )\n", + " \n", + " return update\n", + " \n", + " \n", + " def update_learning_rate(self, optimizer, lr):\n", + " \n", + " for param_group in optimizer.param_groups:\n", + " param_group['lr'] = lr\n", + "\n", + " return optimizer\n", + "\n", + " \n", + " def evaluation(self, y_predicted, test_l):\n", + " \n", + " _, class_predicted = torch.max(y_predicted.data, 1)\n", + " return 100.0* (class_predicted == test_l).sum()/ y_predicted.size(0)\n", + " " + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "scrolled": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "No existing network to delete\n", + "\n", + "ConvNet: LeNet5\n", + "\n", + "ConvNet_LeNet5 (\n", + " (conv1): Conv2d(1, 32, kernel_size=(5, 5), stride=(1, 1), padding=(2, 2))\n", + " (conv2): Conv2d(32, 64, kernel_size=(5, 5), stride=(1, 1), padding=(2, 2))\n", + " (fc1): Linear (3136 -> 512)\n", + " (fc2): Linear (512 -> 10)\n", + " (pool): MaxPool2d (size=(2, 2), stride=(2, 2), dilation=(1, 1))\n", + ")\n", + "num_epochs= 20 , train_size= 55000 , nb_iter= 11000\n", + "epoch= 1, i= 100, loss(batch)= 0.2640, accuray(batch)= 94.00\n", + "epoch= 1, i= 200, loss(batch)= 0.2147, accuray(batch)= 97.00\n", + "epoch= 1, i= 300, loss(batch)= 0.2581, accuray(batch)= 94.00\n", + "epoch= 1, i= 400, loss(batch)= 0.1280, accuray(batch)= 100.00\n", + "epoch= 1, i= 500, loss(batch)= 0.2204, accuray(batch)= 96.00\n", + "epoch= 1, loss(train)= 0.305, accuracy(train)= 93.693, time= 7.688, lr= 0.05000\n", + " accuracy(test) = 98.660 %, time= 0.331\n", + "epoch= 2, i= 100, loss(batch)= 0.1557, accuray(batch)= 98.00\n", + "epoch= 2, i= 200, loss(batch)= 0.1801, accuray(batch)= 97.00\n", + "epoch= 2, i= 300, loss(batch)= 0.1663, accuray(batch)= 97.00\n", + "epoch= 2, i= 400, loss(batch)= 0.1095, accuray(batch)= 99.00\n", + "epoch= 2, i= 500, loss(batch)= 0.1311, accuray(batch)= 99.00\n", + "epoch= 2, loss(train)= 0.153, accuracy(train)= 98.324, time= 6.966, lr= 0.04750\n", + " accuracy(test) = 98.670 %, time= 0.331\n", + "epoch= 3, i= 100, loss(batch)= 0.0953, accuray(batch)= 100.00\n", + "epoch= 3, i= 200, loss(batch)= 0.0909, accuray(batch)= 100.00\n", + "epoch= 3, i= 300, loss(batch)= 0.1151, accuray(batch)= 98.00\n", + "epoch= 3, i= 400, loss(batch)= 0.0906, accuray(batch)= 100.00\n", + "epoch= 3, i= 500, loss(batch)= 0.1811, accuray(batch)= 96.00\n", + "epoch= 3, loss(train)= 0.128, accuracy(train)= 98.700, time= 6.985, lr= 0.04512\n", + " accuracy(test) = 99.020 %, time= 0.331\n", + "epoch= 4, i= 100, loss(batch)= 0.0937, accuray(batch)= 100.00\n", + "epoch= 4, i= 200, loss(batch)= 0.1036, accuray(batch)= 100.00\n", + "epoch= 4, i= 300, loss(batch)= 0.1260, accuray(batch)= 99.00\n", + "epoch= 4, i= 400, loss(batch)= 0.1336, accuray(batch)= 96.00\n", + "epoch= 4, i= 500, loss(batch)= 0.1960, accuray(batch)= 98.00\n", + "epoch= 4, loss(train)= 0.110, accuracy(train)= 99.016, time= 6.964, lr= 0.04287\n", + " accuracy(test) = 99.140 %, time= 0.331\n", + "epoch= 5, i= 100, loss(batch)= 0.1039, accuray(batch)= 98.00\n", + "epoch= 5, i= 200, loss(batch)= 0.0830, accuray(batch)= 100.00\n", + "epoch= 5, i= 300, loss(batch)= 0.1148, accuray(batch)= 99.00\n", + "epoch= 5, i= 400, loss(batch)= 0.0776, accuray(batch)= 100.00\n", + "epoch= 5, i= 500, loss(batch)= 0.0837, accuray(batch)= 99.00\n", + "epoch= 5, loss(train)= 0.098, accuracy(train)= 99.133, time= 6.945, lr= 0.04073\n", + " accuracy(test) = 99.140 %, time= 0.332\n", + "epoch= 6, i= 100, loss(batch)= 0.0686, accuray(batch)= 100.00\n", + "epoch= 6, i= 200, loss(batch)= 0.0952, accuray(batch)= 99.00\n", + "epoch= 6, i= 300, loss(batch)= 0.0655, accuray(batch)= 100.00\n", + "epoch= 6, i= 400, loss(batch)= 0.0852, accuray(batch)= 99.00\n", + "epoch= 6, i= 500, loss(batch)= 0.0977, accuray(batch)= 98.00\n", + "epoch= 6, loss(train)= 0.089, accuracy(train)= 99.222, time= 6.999, lr= 0.03869\n", + " accuracy(test) = 99.250 %, time= 0.332\n", + "epoch= 7, i= 100, loss(batch)= 0.0697, accuray(batch)= 99.00\n", + "epoch= 7, i= 200, loss(batch)= 0.0779, accuray(batch)= 100.00\n", + "epoch= 7, i= 300, loss(batch)= 0.0649, accuray(batch)= 100.00\n", + "epoch= 7, i= 400, loss(batch)= 0.0802, accuray(batch)= 99.00\n", + "epoch= 7, i= 500, loss(batch)= 0.0695, accuray(batch)= 100.00\n", + "epoch= 7, loss(train)= 0.081, accuracy(train)= 99.282, time= 6.983, lr= 0.03675\n", + " accuracy(test) = 99.250 %, time= 0.332\n", + "epoch= 8, i= 100, loss(batch)= 0.0647, accuray(batch)= 99.00\n", + "epoch= 8, i= 200, loss(batch)= 0.0621, accuray(batch)= 100.00\n", + "epoch= 8, i= 300, loss(batch)= 0.0597, accuray(batch)= 100.00\n", + "epoch= 8, i= 400, loss(batch)= 0.0584, accuray(batch)= 100.00\n", + "epoch= 8, i= 500, loss(batch)= 0.0705, accuray(batch)= 99.00\n", + "epoch= 8, loss(train)= 0.075, accuracy(train)= 99.389, time= 6.964, lr= 0.03492\n", + " accuracy(test) = 99.270 %, time= 0.332\n", + "epoch= 9, i= 100, loss(batch)= 0.0586, accuray(batch)= 100.00\n", + "epoch= 9, i= 200, loss(batch)= 0.0761, accuray(batch)= 99.00\n", + "epoch= 9, i= 300, loss(batch)= 0.0554, accuray(batch)= 100.00\n", + "epoch= 9, i= 400, loss(batch)= 0.0877, accuray(batch)= 98.00\n", + "epoch= 9, i= 500, loss(batch)= 0.0639, accuray(batch)= 100.00\n", + "epoch= 9, loss(train)= 0.070, accuracy(train)= 99.455, time= 6.962, lr= 0.03317\n", + " accuracy(test) = 99.320 %, time= 0.332\n", + "epoch= 10, i= 100, loss(batch)= 0.0797, accuray(batch)= 99.00\n", + "epoch= 10, i= 200, loss(batch)= 0.0581, accuray(batch)= 100.00\n", + "epoch= 10, i= 300, loss(batch)= 0.0611, accuray(batch)= 99.00\n", + "epoch= 10, i= 400, loss(batch)= 0.0520, accuray(batch)= 100.00\n", + "epoch= 10, i= 500, loss(batch)= 0.0996, accuray(batch)= 98.00\n", + "epoch= 10, loss(train)= 0.065, accuracy(train)= 99.482, time= 6.952, lr= 0.03151\n", + " accuracy(test) = 99.150 %, time= 0.332\n", + "epoch= 11, i= 100, loss(batch)= 0.0489, accuray(batch)= 100.00\n", + "epoch= 11, i= 200, loss(batch)= 0.0475, accuray(batch)= 100.00\n", + "epoch= 11, i= 300, loss(batch)= 0.0547, accuray(batch)= 100.00\n", + "epoch= 11, i= 400, loss(batch)= 0.0627, accuray(batch)= 99.00\n", + "epoch= 11, i= 500, loss(batch)= 0.0535, accuray(batch)= 100.00\n", + "epoch= 11, loss(train)= 0.062, accuracy(train)= 99.518, time= 7.004, lr= 0.02994\n", + " accuracy(test) = 99.400 %, time= 0.332\n", + "epoch= 12, i= 100, loss(batch)= 0.0476, accuray(batch)= 100.00\n", + "epoch= 12, i= 200, loss(batch)= 0.0720, accuray(batch)= 98.00\n", + "epoch= 12, i= 300, loss(batch)= 0.0556, accuray(batch)= 99.00\n", + "epoch= 12, i= 400, loss(batch)= 0.0575, accuray(batch)= 100.00\n", + "epoch= 12, i= 500, loss(batch)= 0.0795, accuray(batch)= 99.00\n", + "epoch= 12, loss(train)= 0.059, accuracy(train)= 99.604, time= 6.957, lr= 0.02844\n", + " accuracy(test) = 99.380 %, time= 0.333\n", + "epoch= 13, i= 100, loss(batch)= 0.0440, accuray(batch)= 100.00\n", + "epoch= 13, i= 200, loss(batch)= 0.0507, accuray(batch)= 100.00\n", + "epoch= 13, i= 300, loss(batch)= 0.0643, accuray(batch)= 99.00\n", + "epoch= 13, i= 400, loss(batch)= 0.0956, accuray(batch)= 98.00\n", + "epoch= 13, i= 500, loss(batch)= 0.0489, accuray(batch)= 100.00\n", + "epoch= 13, loss(train)= 0.056, accuracy(train)= 99.602, time= 6.963, lr= 0.02702\n", + " accuracy(test) = 99.360 %, time= 0.333\n", + "epoch= 14, i= 100, loss(batch)= 0.0465, accuray(batch)= 100.00\n", + "epoch= 14, i= 200, loss(batch)= 0.0441, accuray(batch)= 100.00\n", + "epoch= 14, i= 300, loss(batch)= 0.0504, accuray(batch)= 100.00\n", + "epoch= 14, i= 400, loss(batch)= 0.0433, accuray(batch)= 100.00\n", + "epoch= 14, i= 500, loss(batch)= 0.0581, accuray(batch)= 100.00\n", + "epoch= 14, loss(train)= 0.054, accuracy(train)= 99.605, time= 6.990, lr= 0.02567\n", + " accuracy(test) = 99.330 %, time= 0.333\n", + "epoch= 15, i= 100, loss(batch)= 0.0475, accuray(batch)= 100.00\n", + "epoch= 15, i= 200, loss(batch)= 0.0428, accuray(batch)= 100.00\n", + "epoch= 15, i= 300, loss(batch)= 0.0437, accuray(batch)= 100.00\n", + "epoch= 15, i= 400, loss(batch)= 0.0945, accuray(batch)= 98.00\n", + "epoch= 15, i= 500, loss(batch)= 0.0798, accuray(batch)= 99.00\n", + "epoch= 15, loss(train)= 0.053, accuracy(train)= 99.613, time= 6.993, lr= 0.02438\n", + " accuracy(test) = 99.320 %, time= 0.333\n", + "epoch= 16, i= 100, loss(batch)= 0.0403, accuray(batch)= 100.00\n", + "epoch= 16, i= 200, loss(batch)= 0.0571, accuray(batch)= 99.00\n", + "epoch= 16, i= 300, loss(batch)= 0.0444, accuray(batch)= 100.00\n", + "epoch= 16, i= 400, loss(batch)= 0.0985, accuray(batch)= 99.00\n", + "epoch= 16, i= 500, loss(batch)= 0.0457, accuray(batch)= 100.00\n", + "epoch= 16, loss(train)= 0.051, accuracy(train)= 99.669, time= 6.950, lr= 0.02316\n", + " accuracy(test) = 99.300 %, time= 0.333\n", + "epoch= 17, i= 100, loss(batch)= 0.1177, accuray(batch)= 97.00\n", + "epoch= 17, i= 200, loss(batch)= 0.0484, accuray(batch)= 99.00\n", + "epoch= 17, i= 300, loss(batch)= 0.0496, accuray(batch)= 99.00\n", + "epoch= 17, i= 400, loss(batch)= 0.0426, accuray(batch)= 100.00\n", + "epoch= 17, i= 500, loss(batch)= 0.0460, accuray(batch)= 100.00\n", + "epoch= 17, loss(train)= 0.049, accuracy(train)= 99.695, time= 6.899, lr= 0.02201\n", + " accuracy(test) = 99.380 %, time= 0.333\n", + "epoch= 18, i= 100, loss(batch)= 0.0480, accuray(batch)= 99.00\n", + "epoch= 18, i= 200, loss(batch)= 0.0446, accuray(batch)= 100.00\n", + "epoch= 18, i= 300, loss(batch)= 0.0415, accuray(batch)= 100.00\n", + "epoch= 18, i= 400, loss(batch)= 0.0408, accuray(batch)= 100.00\n", + "epoch= 18, i= 500, loss(batch)= 0.0376, accuray(batch)= 100.00\n", + "epoch= 18, loss(train)= 0.048, accuracy(train)= 99.704, time= 6.905, lr= 0.02091\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " accuracy(test) = 99.350 %, time= 0.333\n", + "epoch= 19, i= 100, loss(batch)= 0.0413, accuray(batch)= 100.00\n", + "epoch= 19, i= 200, loss(batch)= 0.0397, accuray(batch)= 100.00\n", + "epoch= 19, i= 300, loss(batch)= 0.0434, accuray(batch)= 100.00\n", + "epoch= 19, i= 400, loss(batch)= 0.0434, accuray(batch)= 100.00\n", + "epoch= 19, i= 500, loss(batch)= 0.0458, accuray(batch)= 100.00\n", + "epoch= 19, loss(train)= 0.046, accuracy(train)= 99.725, time= 6.908, lr= 0.01986\n", + " accuracy(test) = 99.390 %, time= 0.334\n", + "epoch= 20, i= 100, loss(batch)= 0.0365, accuray(batch)= 100.00\n", + "epoch= 20, i= 200, loss(batch)= 0.0454, accuray(batch)= 100.00\n", + "epoch= 20, i= 300, loss(batch)= 0.0360, accuray(batch)= 100.00\n", + "epoch= 20, i= 400, loss(batch)= 0.0598, accuray(batch)= 98.00\n", + "epoch= 20, i= 500, loss(batch)= 0.0364, accuray(batch)= 100.00\n", + "epoch= 20, loss(train)= 0.045, accuracy(train)= 99.736, time= 6.908, lr= 0.01887\n", + " accuracy(test) = 99.310 %, time= 0.333\n" + ] + } + ], + "source": [ + "# Delete existing network if exists\n", + "try:\n", + " del net\n", + " print('Delete existing network\\n')\n", + "except NameError:\n", + " print('No existing network to delete\\n')\n", + "\n", + "\n", + "\n", + "# network parameters\n", + "Nx = Ny = 28\n", + "CL1_F = 32\n", + "CL1_K = 5\n", + "CL2_F = 64\n", + "CL2_K = 5\n", + "FC1_F = 512\n", + "FC2_F = 10\n", + "net_parameters = [Nx, Ny, CL1_F, CL1_K, CL2_F, CL2_K, FC1_F, FC2_F]\n", + "\n", + "\n", + "# instantiate the object net of the class \n", + "net = ConvNet_LeNet5(net_parameters)\n", + "if torch.cuda.is_available():\n", + " net.cuda()\n", + "print(net)\n", + "\n", + "\n", + "# Weights\n", + "L = list(net.parameters())\n", + "\n", + "\n", + "# learning parameters\n", + "learning_rate = 0.05\n", + "dropout_value = 0.5\n", + "l2_regularization = 5e-4 \n", + "batch_size = 100\n", + "num_epochs = 20\n", + "train_size = train_data.shape[0]\n", + "nb_iter = int(num_epochs * train_size) // batch_size\n", + "print('num_epochs=',num_epochs,', train_size=',train_size,', nb_iter=',nb_iter)\n", + "\n", + "\n", + "# Optimizer\n", + "global_lr = learning_rate\n", + "global_step = 0\n", + "decay = 0.95\n", + "decay_steps = train_size\n", + "lr = learning_rate\n", + "optimizer = net.update(lr) \n", + "\n", + "\n", + "# loop over epochs\n", + "indices = collections.deque()\n", + "for epoch in range(num_epochs): # loop over the dataset multiple times\n", + "\n", + " # reshuffle \n", + " indices.extend(np.random.permutation(train_size)) # rand permutation\n", + " \n", + " # reset time\n", + " t_start = time.time()\n", + " \n", + " # extract batches\n", + " running_loss = 0.0\n", + " running_accuray = 0\n", + " running_total = 0\n", + " while len(indices) >= batch_size:\n", + " \n", + " # extract batches\n", + " batch_idx = [indices.popleft() for i in range(batch_size)]\n", + " train_x, train_y = train_data[batch_idx,:].T, train_labels[batch_idx].T\n", + " train_x = np.reshape(train_x,[28,28,batch_size])[:,:,:,None]\n", + " train_x = np.transpose(train_x,[2,3,1,0]) # reshape from pytorch array to tensorflow array\n", + " train_x = Variable( torch.FloatTensor(train_x).type(dtypeFloat) , requires_grad=False) \n", + " train_y = train_y.astype(np.int64)\n", + " train_y = torch.LongTensor(train_y).type(dtypeLong)\n", + " train_y = Variable( train_y , requires_grad=False) \n", + " \n", + " # Forward \n", + " y = net.forward(train_x, dropout_value)\n", + " loss = net.loss(y,train_y,l2_regularization) \n", + " loss_train = loss.data[0]\n", + " \n", + " # Accuracy\n", + " acc_train = net.evaluation(y,train_y.data)\n", + " \n", + " # backward\n", + " loss.backward()\n", + " \n", + " # Update \n", + " global_step += batch_size # to update learning rate\n", + " optimizer.step()\n", + " optimizer.zero_grad()\n", + " \n", + " # loss, accuracy\n", + " running_loss += loss_train\n", + " running_accuray += acc_train\n", + " running_total += 1\n", + " \n", + " # print \n", + " if not running_total%100: # print every x mini-batches\n", + " print('epoch= %d, i= %4d, loss(batch)= %.4f, accuray(batch)= %.2f' % (epoch+1, running_total, loss_train, acc_train))\n", + " \n", + " \n", + " # print \n", + " t_stop = time.time() - t_start\n", + " print('epoch= %d, loss(train)= %.3f, accuracy(train)= %.3f, time= %.3f, lr= %.5f' % \n", + " (epoch+1, running_loss/running_total, running_accuray/running_total, t_stop, lr))\n", + " \n", + "\n", + " # update learning rate \n", + " lr = global_lr * pow( decay , float(global_step// decay_steps) )\n", + " optimizer = net.update_learning_rate(optimizer, lr)\n", + " \n", + " \n", + " # Test set\n", + " running_accuray_test = 0\n", + " running_total_test = 0\n", + " indices_test = collections.deque()\n", + " indices_test.extend(range(test_data.shape[0]))\n", + " t_start_test = time.time()\n", + " while len(indices_test) >= batch_size:\n", + " batch_idx_test = [indices_test.popleft() for i in range(batch_size)]\n", + " test_x, test_y = test_data[batch_idx_test,:].T, test_labels[batch_idx_test].T\n", + " test_x = np.reshape(test_x,[28,28,batch_size])[:,:,:,None]\n", + " test_x = np.transpose(test_x,[2,3,1,0]) # reshape from pytorch array to tensorflow array\n", + " test_x = Variable( torch.FloatTensor(test_x).type(dtypeFloat) , requires_grad=False) \n", + " y = net.forward(test_x, 0.0) \n", + " test_y = test_y.astype(np.int64)\n", + " test_y = torch.LongTensor(test_y).type(dtypeLong)\n", + " test_y = Variable( test_y , requires_grad=False) \n", + " acc_test = net.evaluation(y,test_y.data)\n", + " running_accuray_test += acc_test\n", + " running_total_test += 1\n", + " t_stop_test = time.time() - t_start_test\n", + " print(' accuracy(test) = %.3f %%, time= %.3f' % (running_accuray_test / running_total_test, t_stop_test)) \n", + "\n", + " \n", + " " + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "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": "3.6.2" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} diff --git a/02_graph_convnet_lenet5_mnist_pytorch.ipynb b/02_graph_convnet_lenet5_mnist_pytorch.ipynb new file mode 100644 index 0000000..678a965 --- /dev/null +++ b/02_graph_convnet_lenet5_mnist_pytorch.ipynb @@ -0,0 +1,746 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Graph Convolutional Neural Networks\n", + "## Graph LeNet5 with PyTorch\n", + "### Xavier Bresson, Sept. 2017" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Implementation of spectral graph ConvNets
\n", + "Convolutional Neural Networks on Graphs with Fast Localized Spectral Filtering
\n", + "M Defferrard, X Bresson, P Vandergheynst
\n", + "Advances in Neural Information Processing Systems, 3844-3852, 2016
\n", + "ArXiv preprint: [arXiv:1606.09375](https://arxiv.org/pdf/1606.09375.pdf)
" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "cuda available\n" + ] + } + ], + "source": [ + "import torch\n", + "from torch.autograd import Variable\n", + "import torch.nn.functional as F\n", + "import torch.nn as nn\n", + "import pdb #pdb.set_trace()\n", + "import collections\n", + "import time\n", + "import numpy as np\n", + "\n", + "import sys\n", + "sys.path.insert(0, 'lib/')\n", + "%load_ext autoreload\n", + "%autoreload 2\n", + "\n", + "import os\n", + "os.environ[\"CUDA_DEVICE_ORDER\"]=\"PCI_BUS_ID\"\n", + "os.environ[\"CUDA_VISIBLE_DEVICES\"]=\"0\"\n", + "\n", + "if torch.cuda.is_available():\n", + " print('cuda available')\n", + " dtypeFloat = torch.cuda.FloatTensor\n", + " dtypeLong = torch.cuda.LongTensor\n", + " torch.cuda.manual_seed(1)\n", + "else:\n", + " print('cuda not available')\n", + " dtypeFloat = torch.FloatTensor\n", + " dtypeLong = torch.LongTensor\n", + " torch.manual_seed(1)\n", + " " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# MNIST" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Extracting datasets/train-images-idx3-ubyte.gz\n", + "Extracting datasets/train-labels-idx1-ubyte.gz\n", + "Extracting datasets/t10k-images-idx3-ubyte.gz\n", + "Extracting datasets/t10k-labels-idx1-ubyte.gz\n", + "(55000, 784)\n", + "(55000,)\n", + "(5000, 784)\n", + "(5000,)\n", + "(10000, 784)\n", + "(10000,)\n" + ] + } + ], + "source": [ + "from tensorflow.examples.tutorials.mnist import input_data\n", + "mnist = input_data.read_data_sets('datasets', one_hot=False) # load data in folder datasets/\n", + "\n", + "train_data = mnist.train.images.astype(np.float32)\n", + "val_data = mnist.validation.images.astype(np.float32)\n", + "test_data = mnist.test.images.astype(np.float32)\n", + "train_labels = mnist.train.labels\n", + "val_labels = mnist.validation.labels\n", + "test_labels = mnist.test.labels\n", + "print(train_data.shape)\n", + "print(train_labels.shape)\n", + "print(val_data.shape)\n", + "print(val_labels.shape)\n", + "print(test_data.shape)\n", + "print(test_labels.shape)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Graph" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "nb edges: 6396\n", + "Heavy Edge Matching coarsening with Xavier version\n", + "Layer 0: M_0 = |V| = 928 nodes (144 added), |E| = 3198 edges\n", + "Layer 1: M_1 = |V| = 464 nodes (61 added), |E| = 1592 edges\n", + "Layer 2: M_2 = |V| = 232 nodes (22 added), |E| = 772 edges\n", + "Layer 3: M_3 = |V| = 116 nodes (6 added), |E| = 370 edges\n", + "Layer 4: M_4 = |V| = 58 nodes (0 added), |E| = 189 edges\n", + "lmax: [1.3857549, 1.3441432, 1.219873, 0.99999928]\n", + "(55000, 928)\n", + "(5000, 928)\n", + "(10000, 928)\n", + "Execution time: 1.00s\n" + ] + } + ], + "source": [ + "from lib.grid_graph import grid_graph\n", + "from lib.coarsening import coarsen\n", + "from lib.coarsening import lmax_L\n", + "from lib.coarsening import perm_data\n", + "from lib.coarsening import rescale_L\n", + "\n", + "# Construct graph\n", + "t_start = time.time()\n", + "grid_side = 28\n", + "number_edges = 8\n", + "metric = 'euclidean'\n", + "A = grid_graph(grid_side,number_edges,metric) # create graph of Euclidean grid\n", + "\n", + "# Compute coarsened graphs\n", + "coarsening_levels = 4\n", + "L, perm = coarsen(A, coarsening_levels)\n", + "\n", + "# Compute max eigenvalue of graph Laplacians\n", + "lmax = []\n", + "for i in range(coarsening_levels):\n", + " lmax.append(lmax_L(L[i]))\n", + "print('lmax: ' + str([lmax[i] for i in range(coarsening_levels)]))\n", + "\n", + "# Reindex nodes to satisfy a binary tree structure\n", + "train_data = perm_data(train_data, perm)\n", + "val_data = perm_data(val_data, perm)\n", + "test_data = perm_data(test_data, perm)\n", + "\n", + "print(train_data.shape)\n", + "print(val_data.shape)\n", + "print(test_data.shape)\n", + "\n", + "print('Execution time: {:.2f}s'.format(time.time() - t_start))\n", + "del perm" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Graph ConvNet LeNet5\n", + "### Layers: CL32-MP4-CL64-MP4-FC512-FC10" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "collapsed": true, + "scrolled": false + }, + "outputs": [], + "source": [ + "# class definitions\n", + "\n", + "class my_sparse_mm(torch.autograd.Function):\n", + " \"\"\"\n", + " Implementation of a new autograd function for sparse variables, \n", + " called \"my_sparse_mm\", by subclassing torch.autograd.Function \n", + " and implementing the forward and backward passes.\n", + " \"\"\"\n", + " \n", + " def forward(self, W, x): # W is SPARSE\n", + " self.save_for_backward(W, x)\n", + " y = torch.mm(W, x)\n", + " return y\n", + " \n", + " def backward(self, grad_output):\n", + " W, x = self.saved_tensors \n", + " grad_input = grad_output.clone()\n", + " grad_input_dL_dW = torch.mm(grad_input, x.t()) \n", + " grad_input_dL_dx = torch.mm(W, grad_input )\n", + " return grad_input_dL_dW, grad_input_dL_dx\n", + " \n", + " \n", + "class Graph_ConvNet_LeNet5(nn.Module):\n", + " \n", + " def __init__(self, net_parameters):\n", + " \n", + " print('Graph ConvNet: LeNet5\\n')\n", + " \n", + " super(Graph_ConvNet_LeNet5, self).__init__()\n", + " \n", + " # parameters\n", + " D, CL1_F, CL1_K, CL2_F, CL2_K, FC1_F, FC2_F = net_parameters\n", + " FC1Fin = CL2_F*(D//16)\n", + " \n", + " # graph CL1\n", + " self.WCL1 = torch.FloatTensor(CL1_K, CL1_F)\n", + " self.init_weights(self.WCL1, CL1_K, CL1_F)\n", + " self.bCL1 = torch.FloatTensor(CL1_F)\n", + " self.bCL1.fill_(0.0)\n", + " self.WCL1 = torch.nn.Parameter( self.WCL1, requires_grad=True )\n", + " self.bCL1 = torch.nn.Parameter( self.bCL1, requires_grad=True )\n", + " self.CL1_K = CL1_K; self.CL1_F = CL1_F; \n", + " \n", + " # graph CL2\n", + " self.WCL2 = torch.FloatTensor(CL2_K*CL1_F, CL2_F)\n", + " self.init_weights(self.WCL2, CL2_K*CL1_F, CL2_F)\n", + " self.bCL2 = torch.FloatTensor(CL2_F)\n", + " self.bCL2.fill_(0.0) \n", + " self.WCL2 = torch.nn.Parameter( self.WCL2, requires_grad=True )\n", + " self.bCL2 = torch.nn.Parameter( self.bCL2, requires_grad=True )\n", + " self.CL2_K = CL2_K; self.CL2_F = CL2_F; \n", + " \n", + " # FC1\n", + " self.fc1 = nn.Linear(FC1Fin, FC1_F) \n", + " Fin = FC1Fin; Fout = FC1_F;\n", + " scale = np.sqrt( 2.0/ (Fin+Fout) )\n", + " self.fc1.weight.data.uniform_(-scale, scale)\n", + " self.fc1.bias.data.fill_(0.0)\n", + " self.FC1Fin = FC1Fin\n", + " \n", + " # FC2\n", + " self.fc2 = nn.Linear(FC1_F, FC2_F)\n", + " Fin = FC1_F; Fout = FC2_F;\n", + " scale = np.sqrt( 2.0/ (Fin+Fout) )\n", + " self.fc2.weight.data.uniform_(-scale, scale)\n", + " self.fc2.bias.data.fill_(0.0)\n", + "\n", + " \n", + " def init_weights(self, W, Fin, Fout):\n", + "\n", + " scale = np.sqrt( 2.0/ (Fin+Fout) )\n", + " W.uniform_(-scale, scale)\n", + "\n", + " return W\n", + " \n", + " \n", + " def graph_conv_cheby(self, x, W, L, lmax, Fout, K):\n", + "\n", + " # parameters\n", + " # B = batch size\n", + " # V = nb vertices\n", + " # Fin = nb input features\n", + " # Fout = nb output features\n", + " # K = Chebyshev order & support size\n", + " B, V, Fin = x.size(); B, V, Fin = int(B), int(V), int(Fin) \n", + "\n", + " # rescale Laplacian\n", + " lmax = lmax_L(L)\n", + " L = rescale_L(L, lmax) \n", + " \n", + " # convert scipy sparse matric L to pytorch\n", + " L = L.tocoo()\n", + " indices = np.column_stack((L.row, L.col)).T \n", + " indices = indices.astype(np.int64)\n", + " indices = torch.from_numpy(indices)\n", + " indices = indices.type(torch.LongTensor)\n", + " L_data = L.data.astype(np.float32)\n", + " L_data = torch.from_numpy(L_data) \n", + " L_data = L_data.type(torch.FloatTensor)\n", + " L = torch.sparse.FloatTensor(indices, L_data, torch.Size(L.shape))\n", + " L = Variable( L , requires_grad=False)\n", + " if torch.cuda.is_available():\n", + " L = L.cuda()\n", + " \n", + " # transform to Chebyshev basis\n", + " x0 = x.permute(1,2,0).contiguous() # V x Fin x B\n", + " x0 = x0.view([V, Fin*B]) # V x Fin*B\n", + " x = x0.unsqueeze(0) # 1 x V x Fin*B\n", + " \n", + " def concat(x, x_):\n", + " x_ = x_.unsqueeze(0) # 1 x V x Fin*B\n", + " return torch.cat((x, x_), 0) # K x V x Fin*B \n", + " \n", + " if K > 1: \n", + " x1 = my_sparse_mm()(L,x0) # V x Fin*B\n", + " x = torch.cat((x, x1.unsqueeze(0)),0) # 2 x V x Fin*B\n", + " for k in range(2, K):\n", + " x2 = 2 * my_sparse_mm()(L,x1) - x0 \n", + " x = torch.cat((x, x2.unsqueeze(0)),0) # M x Fin*B\n", + " x0, x1 = x1, x2 \n", + " \n", + " x = x.view([K, V, Fin, B]) # K x V x Fin x B \n", + " x = x.permute(3,1,2,0).contiguous() # B x V x Fin x K \n", + " x = x.view([B*V, Fin*K]) # B*V x Fin*K\n", + " \n", + " # Compose linearly Fin features to get Fout features\n", + " x = torch.mm(x,W) # B*V x Fout \n", + " x = x.view([B, V, Fout]) # B x V x Fout\n", + " \n", + " return x\n", + " \n", + " \n", + " # Max pooling of size p. Must be a power of 2.\n", + " def graph_max_pool(self, x, p): \n", + " if p > 1: \n", + " x = x.permute(0,2,1).contiguous() # x = B x F x V\n", + " x = nn.MaxPool1d(p)(x) # B x F x V/p \n", + " x = x.permute(0,2,1).contiguous() # x = B x V/p x F\n", + " return x \n", + " else:\n", + " return x \n", + " \n", + " \n", + " def forward(self, x, d, L, lmax):\n", + " \n", + " # graph CL1\n", + " x = x.unsqueeze(2) # B x V x Fin=1 \n", + " x = self.graph_conv_cheby(x, self.WCL1, L[0], lmax[0], self.CL1_F, self.CL1_K) + self.bCL1\n", + " x = F.relu(x)\n", + " x = self.graph_max_pool(x, 4)\n", + " \n", + " # graph CL2\n", + " x = self.graph_conv_cheby(x, self.WCL2, L[2], lmax[2], self.CL2_F, self.CL2_K) + self.bCL2\n", + " x = F.relu(x)\n", + " x = self.graph_max_pool(x, 4)\n", + " \n", + " # FC1\n", + " x = x.view(-1, self.FC1Fin)\n", + " x = self.fc1(x)\n", + " x = F.relu(x)\n", + " x = nn.Dropout(d)(x)\n", + " \n", + " # FC2\n", + " x = self.fc2(x)\n", + " \n", + " return x\n", + " \n", + " \n", + " def loss(self, y, y_target, l2_regularization):\n", + " \n", + " loss = nn.CrossEntropyLoss()(y,y_target)\n", + "\n", + " l2_loss = 0.0\n", + " for param in self.parameters():\n", + " data = param* param\n", + " l2_loss += data.sum()\n", + " \n", + " loss += 0.5* l2_regularization* l2_loss\n", + " \n", + " return loss\n", + " \n", + " \n", + " def update(self, lr):\n", + " \n", + " update = torch.optim.SGD( self.parameters(), lr=lr, momentum=0.9 )\n", + " \n", + " return update\n", + " \n", + " \n", + " def update_learning_rate(self, optimizer, lr):\n", + " \n", + " for param_group in optimizer.param_groups:\n", + " param_group['lr'] = lr\n", + "\n", + " return optimizer\n", + "\n", + " \n", + " def evaluation(self, y_predicted, test_l):\n", + " \n", + " _, class_predicted = torch.max(y_predicted.data, 1)\n", + " return 100.0* (class_predicted == test_l).sum()/ y_predicted.size(0)\n", + " " + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "scrolled": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "No existing network to delete\n", + "\n", + "Graph ConvNet: LeNet5\n", + "\n", + "Graph_ConvNet_LeNet5 (\n", + " (fc1): Linear (3712 -> 512)\n", + " (fc2): Linear (512 -> 10)\n", + ")\n", + "num_epochs= 20 , train_size= 55000 , nb_iter= 11000\n", + "epoch= 1, i= 100, loss(batch)= 0.2869, accuray(batch)= 94.00\n", + "epoch= 1, i= 200, loss(batch)= 0.2276, accuray(batch)= 96.00\n", + "epoch= 1, i= 300, loss(batch)= 0.2748, accuray(batch)= 96.00\n", + "epoch= 1, i= 400, loss(batch)= 0.2201, accuray(batch)= 97.00\n", + "epoch= 1, i= 500, loss(batch)= 0.2862, accuray(batch)= 94.00\n", + "epoch= 1, loss(train)= 0.387, accuracy(train)= 90.960, time= 102.726, lr= 0.05000\n", + " accuracy(test) = 97.780 %, time= 9.260\n", + "epoch= 2, i= 100, loss(batch)= 0.2140, accuray(batch)= 96.00\n", + "epoch= 2, i= 200, loss(batch)= 0.1345, accuray(batch)= 100.00\n", + "epoch= 2, i= 300, loss(batch)= 0.1576, accuray(batch)= 98.00\n", + "epoch= 2, i= 400, loss(batch)= 0.1403, accuray(batch)= 99.00\n", + "epoch= 2, i= 500, loss(batch)= 0.1218, accuray(batch)= 99.00\n", + "epoch= 2, loss(train)= 0.182, accuracy(train)= 97.653, time= 100.885, lr= 0.04750\n", + " accuracy(test) = 98.490 %, time= 9.228\n", + "epoch= 3, i= 100, loss(batch)= 0.1129, accuray(batch)= 100.00\n", + "epoch= 3, i= 200, loss(batch)= 0.1205, accuray(batch)= 100.00\n", + "epoch= 3, i= 300, loss(batch)= 0.2037, accuray(batch)= 95.00\n", + "epoch= 3, i= 400, loss(batch)= 0.1207, accuray(batch)= 99.00\n", + "epoch= 3, i= 500, loss(batch)= 0.1066, accuray(batch)= 100.00\n", + "epoch= 3, loss(train)= 0.154, accuracy(train)= 98.198, time= 100.833, lr= 0.04512\n", + " accuracy(test) = 98.590 %, time= 9.264\n", + "epoch= 4, i= 100, loss(batch)= 0.1086, accuray(batch)= 100.00\n", + "epoch= 4, i= 200, loss(batch)= 0.1448, accuray(batch)= 97.00\n", + "epoch= 4, i= 300, loss(batch)= 0.1179, accuray(batch)= 100.00\n", + "epoch= 4, i= 400, loss(batch)= 0.1835, accuray(batch)= 97.00\n", + "epoch= 4, i= 500, loss(batch)= 0.1481, accuray(batch)= 99.00\n", + "epoch= 4, loss(train)= 0.135, accuracy(train)= 98.591, time= 101.565, lr= 0.04287\n", + " accuracy(test) = 98.630 %, time= 9.245\n", + "epoch= 5, i= 100, loss(batch)= 0.0988, accuray(batch)= 99.00\n", + "epoch= 5, i= 200, loss(batch)= 0.1454, accuray(batch)= 96.00\n", + "epoch= 5, i= 300, loss(batch)= 0.1060, accuray(batch)= 99.00\n", + "epoch= 5, i= 400, loss(batch)= 0.1234, accuray(batch)= 97.00\n", + "epoch= 5, i= 500, loss(batch)= 0.0904, accuray(batch)= 100.00\n", + "epoch= 5, loss(train)= 0.120, accuracy(train)= 98.849, time= 100.180, lr= 0.04073\n", + " accuracy(test) = 98.990 %, time= 9.256\n", + "epoch= 6, i= 100, loss(batch)= 0.1068, accuray(batch)= 100.00\n", + "epoch= 6, i= 200, loss(batch)= 0.0852, accuray(batch)= 100.00\n", + "epoch= 6, i= 300, loss(batch)= 0.0844, accuray(batch)= 100.00\n", + "epoch= 6, i= 400, loss(batch)= 0.0917, accuray(batch)= 99.00\n", + "epoch= 6, i= 500, loss(batch)= 0.1058, accuray(batch)= 99.00\n", + "epoch= 6, loss(train)= 0.109, accuracy(train)= 98.960, time= 101.886, lr= 0.03869\n", + " accuracy(test) = 99.000 %, time= 9.259\n", + "epoch= 7, i= 100, loss(batch)= 0.1046, accuray(batch)= 99.00\n", + "epoch= 7, i= 200, loss(batch)= 0.0779, accuray(batch)= 100.00\n", + "epoch= 7, i= 300, loss(batch)= 0.0737, accuray(batch)= 100.00\n", + "epoch= 7, i= 400, loss(batch)= 0.1592, accuray(batch)= 97.00\n", + "epoch= 7, i= 500, loss(batch)= 0.1134, accuray(batch)= 98.00\n", + "epoch= 7, loss(train)= 0.101, accuracy(train)= 99.078, time= 101.012, lr= 0.03675\n", + " accuracy(test) = 99.040 %, time= 9.248\n", + "epoch= 8, i= 100, loss(batch)= 0.0821, accuray(batch)= 100.00\n", + "epoch= 8, i= 200, loss(batch)= 0.0931, accuray(batch)= 99.00\n", + "epoch= 8, i= 300, loss(batch)= 0.0912, accuray(batch)= 99.00\n", + "epoch= 8, i= 400, loss(batch)= 0.0759, accuray(batch)= 100.00\n", + "epoch= 8, i= 500, loss(batch)= 0.0892, accuray(batch)= 99.00\n", + "epoch= 8, loss(train)= 0.093, accuracy(train)= 99.185, time= 101.205, lr= 0.03492\n", + " accuracy(test) = 99.010 %, time= 9.260\n", + "epoch= 9, i= 100, loss(batch)= 0.0870, accuray(batch)= 99.00\n", + "epoch= 9, i= 200, loss(batch)= 0.0729, accuray(batch)= 100.00\n", + "epoch= 9, i= 300, loss(batch)= 0.0821, accuray(batch)= 99.00\n", + "epoch= 9, i= 400, loss(batch)= 0.0721, accuray(batch)= 100.00\n", + "epoch= 9, i= 500, loss(batch)= 0.0730, accuray(batch)= 99.00\n", + "epoch= 9, loss(train)= 0.087, accuracy(train)= 99.298, time= 102.537, lr= 0.03317\n", + " accuracy(test) = 99.110 %, time= 9.281\n", + "epoch= 10, i= 100, loss(batch)= 0.0722, accuray(batch)= 100.00\n", + "epoch= 10, i= 200, loss(batch)= 0.0793, accuray(batch)= 99.00\n", + "epoch= 10, i= 300, loss(batch)= 0.0635, accuray(batch)= 100.00\n", + "epoch= 10, i= 400, loss(batch)= 0.1200, accuray(batch)= 98.00\n", + "epoch= 10, i= 500, loss(batch)= 0.0714, accuray(batch)= 100.00\n", + "epoch= 10, loss(train)= 0.083, accuracy(train)= 99.276, time= 102.450, lr= 0.03151\n", + " accuracy(test) = 99.090 %, time= 9.274\n", + "epoch= 11, i= 100, loss(batch)= 0.0620, accuray(batch)= 100.00\n", + "epoch= 11, i= 200, loss(batch)= 0.0600, accuray(batch)= 100.00\n", + "epoch= 11, i= 300, loss(batch)= 0.0796, accuray(batch)= 100.00\n", + "epoch= 11, i= 400, loss(batch)= 0.0788, accuray(batch)= 99.00\n", + "epoch= 11, i= 500, loss(batch)= 0.0876, accuray(batch)= 99.00\n", + "epoch= 11, loss(train)= 0.079, accuracy(train)= 99.385, time= 100.652, lr= 0.02994\n", + " accuracy(test) = 99.140 %, time= 9.247\n", + "epoch= 12, i= 100, loss(batch)= 0.0602, accuray(batch)= 100.00\n", + "epoch= 12, i= 200, loss(batch)= 0.0687, accuray(batch)= 100.00\n", + "epoch= 12, i= 300, loss(batch)= 0.0589, accuray(batch)= 100.00\n", + "epoch= 12, i= 400, loss(batch)= 0.0578, accuray(batch)= 100.00\n", + "epoch= 12, i= 500, loss(batch)= 0.0592, accuray(batch)= 100.00\n", + "epoch= 12, loss(train)= 0.074, accuracy(train)= 99.449, time= 100.738, lr= 0.02844\n", + " accuracy(test) = 99.060 %, time= 9.246\n", + "epoch= 13, i= 100, loss(batch)= 0.1145, accuray(batch)= 97.00\n", + "epoch= 13, i= 200, loss(batch)= 0.0653, accuray(batch)= 100.00\n", + "epoch= 13, i= 300, loss(batch)= 0.0628, accuray(batch)= 100.00\n", + "epoch= 13, i= 400, loss(batch)= 0.1312, accuray(batch)= 98.00\n", + "epoch= 13, i= 500, loss(batch)= 0.0722, accuray(batch)= 99.00\n", + "epoch= 13, loss(train)= 0.071, accuracy(train)= 99.467, time= 96.878, lr= 0.02702\n", + " accuracy(test) = 99.080 %, time= 9.245\n", + "epoch= 14, i= 100, loss(batch)= 0.0666, accuray(batch)= 100.00\n", + "epoch= 14, i= 200, loss(batch)= 0.0780, accuray(batch)= 99.00\n", + "epoch= 14, i= 300, loss(batch)= 0.0594, accuray(batch)= 100.00\n", + "epoch= 14, i= 400, loss(batch)= 0.0878, accuray(batch)= 98.00\n", + "epoch= 14, i= 500, loss(batch)= 0.0659, accuray(batch)= 100.00\n", + "epoch= 14, loss(train)= 0.068, accuracy(train)= 99.558, time= 99.554, lr= 0.02567\n", + " accuracy(test) = 99.050 %, time= 9.250\n", + "epoch= 15, i= 100, loss(batch)= 0.0631, accuray(batch)= 100.00\n", + "epoch= 15, i= 200, loss(batch)= 0.0660, accuray(batch)= 99.00\n", + "epoch= 15, i= 300, loss(batch)= 0.0532, accuray(batch)= 100.00\n", + "epoch= 15, i= 400, loss(batch)= 0.0710, accuray(batch)= 99.00\n", + "epoch= 15, i= 500, loss(batch)= 0.0522, accuray(batch)= 100.00\n", + "epoch= 15, loss(train)= 0.066, accuracy(train)= 99.573, time= 95.459, lr= 0.02438\n", + " accuracy(test) = 99.130 %, time= 9.229\n", + "epoch= 16, i= 100, loss(batch)= 0.0852, accuray(batch)= 99.00\n", + "epoch= 16, i= 200, loss(batch)= 0.0523, accuray(batch)= 100.00\n", + "epoch= 16, i= 300, loss(batch)= 0.0538, accuray(batch)= 100.00\n", + "epoch= 16, i= 400, loss(batch)= 0.0574, accuray(batch)= 100.00\n", + "epoch= 16, i= 500, loss(batch)= 0.1135, accuray(batch)= 96.00\n", + "epoch= 16, loss(train)= 0.063, accuracy(train)= 99.598, time= 95.649, lr= 0.02316\n", + " accuracy(test) = 99.150 %, time= 9.217\n", + "epoch= 17, i= 100, loss(batch)= 0.0771, accuray(batch)= 98.00\n", + "epoch= 17, i= 200, loss(batch)= 0.0542, accuray(batch)= 100.00\n", + "epoch= 17, i= 300, loss(batch)= 0.0569, accuray(batch)= 100.00\n", + "epoch= 17, i= 400, loss(batch)= 0.0516, accuray(batch)= 100.00\n", + "epoch= 17, i= 500, loss(batch)= 0.0788, accuray(batch)= 98.00\n", + "epoch= 17, loss(train)= 0.062, accuracy(train)= 99.607, time= 101.548, lr= 0.02201\n", + " accuracy(test) = 99.070 %, time= 9.248\n", + "epoch= 18, i= 100, loss(batch)= 0.0535, accuray(batch)= 100.00\n", + "epoch= 18, i= 200, loss(batch)= 0.0670, accuray(batch)= 99.00\n", + "epoch= 18, i= 300, loss(batch)= 0.0499, accuray(batch)= 100.00\n", + "epoch= 18, i= 400, loss(batch)= 0.0748, accuray(batch)= 99.00\n", + "epoch= 18, i= 500, loss(batch)= 0.0539, accuray(batch)= 100.00\n", + "epoch= 18, loss(train)= 0.060, accuracy(train)= 99.642, time= 95.192, lr= 0.02091\n", + " accuracy(test) = 99.200 %, time= 9.289\n", + "epoch= 19, i= 100, loss(batch)= 0.0697, accuray(batch)= 99.00\n", + "epoch= 19, i= 200, loss(batch)= 0.0502, accuray(batch)= 100.00\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "epoch= 19, i= 300, loss(batch)= 0.0700, accuray(batch)= 99.00\n", + "epoch= 19, i= 400, loss(batch)= 0.0688, accuray(batch)= 99.00\n", + "epoch= 19, i= 500, loss(batch)= 0.0529, accuray(batch)= 100.00\n", + "epoch= 19, loss(train)= 0.058, accuracy(train)= 99.675, time= 100.177, lr= 0.01986\n", + " accuracy(test) = 99.190 %, time= 9.277\n", + "epoch= 20, i= 100, loss(batch)= 0.0466, accuray(batch)= 100.00\n", + "epoch= 20, i= 200, loss(batch)= 0.0462, accuray(batch)= 100.00\n", + "epoch= 20, i= 300, loss(batch)= 0.0596, accuray(batch)= 100.00\n", + "epoch= 20, i= 400, loss(batch)= 0.0479, accuray(batch)= 100.00\n", + "epoch= 20, i= 500, loss(batch)= 0.0483, accuray(batch)= 100.00\n", + "epoch= 20, loss(train)= 0.056, accuracy(train)= 99.727, time= 94.225, lr= 0.01887\n", + " accuracy(test) = 99.210 %, time= 9.204\n" + ] + } + ], + "source": [ + "# Delete existing network if exists\n", + "try:\n", + " del net\n", + " print('Delete existing network\\n')\n", + "except NameError:\n", + " print('No existing network to delete\\n')\n", + "\n", + "\n", + "\n", + "# network parameters\n", + "D = train_data.shape[1]\n", + "CL1_F = 32\n", + "CL1_K = 25\n", + "CL2_F = 64\n", + "CL2_K = 25\n", + "FC1_F = 512\n", + "FC2_F = 10\n", + "net_parameters = [D, CL1_F, CL1_K, CL2_F, CL2_K, FC1_F, FC2_F]\n", + "\n", + "\n", + "# instantiate the object net of the class \n", + "net = Graph_ConvNet_LeNet5(net_parameters)\n", + "if torch.cuda.is_available():\n", + " net.cuda()\n", + "print(net)\n", + "\n", + "\n", + "# Weights\n", + "L_net = list(net.parameters())\n", + "\n", + "\n", + "# learning parameters\n", + "learning_rate = 0.05\n", + "dropout_value = 0.5\n", + "l2_regularization = 5e-4 \n", + "batch_size = 100\n", + "num_epochs = 20\n", + "train_size = train_data.shape[0]\n", + "nb_iter = int(num_epochs * train_size) // batch_size\n", + "print('num_epochs=',num_epochs,', train_size=',train_size,', nb_iter=',nb_iter)\n", + "\n", + "\n", + "# Optimizer\n", + "global_lr = learning_rate\n", + "global_step = 0\n", + "decay = 0.95\n", + "decay_steps = train_size\n", + "lr = learning_rate\n", + "optimizer = net.update(lr) \n", + "\n", + "\n", + "# loop over epochs\n", + "indices = collections.deque()\n", + "for epoch in range(num_epochs): # loop over the dataset multiple times\n", + "\n", + " # reshuffle \n", + " indices.extend(np.random.permutation(train_size)) # rand permutation\n", + " \n", + " # reset time\n", + " t_start = time.time()\n", + " \n", + " # extract batches\n", + " running_loss = 0.0\n", + " running_accuray = 0\n", + " running_total = 0\n", + " while len(indices) >= batch_size:\n", + " \n", + " # extract batches\n", + " batch_idx = [indices.popleft() for i in range(batch_size)]\n", + " train_x, train_y = train_data[batch_idx,:], train_labels[batch_idx]\n", + " train_x = Variable( torch.FloatTensor(train_x).type(dtypeFloat) , requires_grad=False) \n", + " train_y = train_y.astype(np.int64)\n", + " train_y = torch.LongTensor(train_y).type(dtypeLong)\n", + " train_y = Variable( train_y , requires_grad=False) \n", + " \n", + " # Forward \n", + " y = net.forward(train_x, dropout_value, L, lmax)\n", + " loss = net.loss(y,train_y,l2_regularization) \n", + " loss_train = loss.data[0]\n", + " \n", + " # Accuracy\n", + " acc_train = net.evaluation(y,train_y.data)\n", + " \n", + " # backward\n", + " loss.backward()\n", + " \n", + " # Update \n", + " global_step += batch_size # to update learning rate\n", + " optimizer.step()\n", + " optimizer.zero_grad()\n", + " \n", + " # loss, accuracy\n", + " running_loss += loss_train\n", + " running_accuray += acc_train\n", + " running_total += 1\n", + " \n", + " # print \n", + " if not running_total%100: # print every x mini-batches\n", + " print('epoch= %d, i= %4d, loss(batch)= %.4f, accuray(batch)= %.2f' % (epoch+1, running_total, loss_train, acc_train))\n", + " \n", + " \n", + " # print \n", + " t_stop = time.time() - t_start\n", + " print('epoch= %d, loss(train)= %.3f, accuracy(train)= %.3f, time= %.3f, lr= %.5f' % \n", + " (epoch+1, running_loss/running_total, running_accuray/running_total, t_stop, lr))\n", + " \n", + "\n", + " # update learning rate \n", + " lr = global_lr * pow( decay , float(global_step// decay_steps) )\n", + " optimizer = net.update_learning_rate(optimizer, lr)\n", + " \n", + " \n", + " # Test set\n", + " running_accuray_test = 0\n", + " running_total_test = 0\n", + " indices_test = collections.deque()\n", + " indices_test.extend(range(test_data.shape[0]))\n", + " t_start_test = time.time()\n", + " while len(indices_test) >= batch_size:\n", + " batch_idx_test = [indices_test.popleft() for i in range(batch_size)]\n", + " test_x, test_y = test_data[batch_idx_test,:], test_labels[batch_idx_test]\n", + " test_x = Variable( torch.FloatTensor(test_x).type(dtypeFloat) , requires_grad=False) \n", + " y = net.forward(test_x, 0.0, L, lmax) \n", + " test_y = test_y.astype(np.int64)\n", + " test_y = torch.LongTensor(test_y).type(dtypeLong)\n", + " test_y = Variable( test_y , requires_grad=False) \n", + " acc_test = net.evaluation(y,test_y.data)\n", + " running_accuray_test += acc_test\n", + " running_total_test += 1\n", + " t_stop_test = time.time() - t_start_test\n", + " print(' accuracy(test) = %.3f %%, time= %.3f' % (running_accuray_test / running_total_test, t_stop_test)) \n", + " " + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": { + "collapsed": true + }, + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "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": "3.6.2" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} diff --git a/README.md b/README.md new file mode 100644 index 0000000..03a0997 --- /dev/null +++ b/README.md @@ -0,0 +1,87 @@ +# Graph ConvNets in PyTorch +September 30, 2017 +
+
+ + + + + + +### Xavier Bresson + http://www.ntu.edu.sg/home/xbresson
+ https://github.com/xbresson
+ https://twitter.com/xbresson
+
+ + +### Description +Prototype implementation in PyTorch of the NIPS'16 paper:
+Convolutional Neural Networks on Graphs with Fast Localized Spectral Filtering
+M Defferrard, X Bresson, P Vandergheynst
+Advances in Neural Information Processing Systems, 3844-3852, 2016
+ArXiv preprint: [arXiv:1606.09375](https://arxiv.org/pdf/1606.09375.pdf)
+
+ +### Code objective +The code provides a simple example of graph ConvNets for the MNIST classification task.
+The graph is a 8-nearest neighbor graph of a 2D grid.
+The signals on graph are the MNIST images vectorized as $28^2 \times 1$ vectors.
+
+ + +### Installation + ```sh + git clone https://github.com/xbresson/graph_cnn_pytorch + cd graph_cnn_pytorch + pip install -r requirements.txt # installation for python 3.6.2 + python check_install.py + jupyter notebook + ``` + +
+ + + +### Results +GPU Quadro M4000
+* Standard ConvNets: **01_standard_convnet_lenet5_mnist_pytorch.ipynb**, accuracy= 99.31, speed= 6.9 sec/epoch.
+* Graph ConvNets: **02_graph_convnet_lenet5_mnist_pytorch.ipynb**, accuracy= 99.21, speed= 100.8 sec/epoch
+
+ + +### Note +PyTorch has not yet implemented function torch.mm(sparse, dense) for variables: https://github.com/pytorch/pytorch/issues/2389. It will be certainly implemented in the near future but in the meantime, I implemented a new autograd function for sparse variables, called "my_sparse_mm", by subclassing torch.autograd.function and implementing the forward and backward passes. + + +```python +class my_sparse_mm(torch.autograd.Function): + """ + Implementation of a new autograd function for sparse variables, + called "my_sparse_mm", by subclassing torch.autograd.Function + and implementing the forward and backward passes. + """ + + def forward(self, W, x): # W is SPARSE + self.save_for_backward(W, x) + y = torch.mm(W, x) + return y + + def backward(self, grad_output): + W, x = self.saved_tensors + grad_input = grad_output.clone() + grad_input_dL_dW = torch.mm(grad_input, x.t()) + grad_input_dL_dx = torch.mm(W, grad_input ) + return grad_input_dL_dW, grad_input_dL_dx +``` +
+ + +### When to use this algorithm? +Any problem that can be cast as analyzing a set of signals on a fixed graph, and you want to use ConvNets for this analysis.
+ +
+ +
+
+ diff --git a/check_install.py b/check_install.py new file mode 100755 index 0000000..980057b --- /dev/null +++ b/check_install.py @@ -0,0 +1,33 @@ +#!/bin/env python3 + +print('\nRun Python installation test for graph ConvNets') + +import os +import sys +major, minor = sys.version_info.major, sys.version_info.minor + +if ( (major is not 3) or (minor is not 6) ): + raise Exception('please use Python 3.6 (for PyTorch), you have Python {}.{}'.format(major,minor)) + +try: + import numpy + print('Recommended version of numpy is {}. You have {}.'.format('1.13.1',numpy.__version__)) + import jupyter + print('Recommended version of jupyter is {}. You have {}.'.format('1.0.0',jupyter.__version__)) + import torch + print('Recommended version of pytorch is {}. You have {}.'.format('0.2.0_1',torch.__version__)) + import tensorflow + print('Recommended version of tensorflow is {}. You have {}.'.format('0.11.0rc0',tensorflow.__version__)) + import scipy + print('Recommended version of scipy is {}. You have {}.'.format('0.19.1',scipy.__version__)) + import sklearn + print('Recommended version of sklearn is {}. You have {}.'.format('0.19.0',sklearn.__version__)) + + +except: + print('A package is missing or the version of the package.') + print('Install the package below.\n') + raise + +print('Successful installation of Python {}.{} and ' + 'most of the packages required to run the code.\n'.format(major, minor)) diff --git a/lib/coarsening.py b/lib/coarsening.py new file mode 100644 index 0000000..5b4c2d9 --- /dev/null +++ b/lib/coarsening.py @@ -0,0 +1,318 @@ +import numpy as np +import scipy.sparse +import sklearn.metrics + + +def laplacian(W, normalized=True): + """Return graph Laplacian""" + + # Degree matrix. + d = W.sum(axis=0) + + # Laplacian matrix. + if not normalized: + D = scipy.sparse.diags(d.A.squeeze(), 0) + L = D - W + else: + d += np.spacing(np.array(0, W.dtype)) + d = 1 / np.sqrt(d) + D = scipy.sparse.diags(d.A.squeeze(), 0) + I = scipy.sparse.identity(d.size, dtype=W.dtype) + L = I - D * W * D + + assert np.abs(L - L.T).mean() < 1e-9 + assert type(L) is scipy.sparse.csr.csr_matrix + return L + + + +def rescale_L(L, lmax=2): + """Rescale Laplacian eigenvalues to [-1,1]""" + M, M = L.shape + I = scipy.sparse.identity(M, format='csr', dtype=L.dtype) + L /= lmax * 2 + L -= I + return L + + +def lmax_L(L): + """Compute largest Laplacian eigenvalue""" + return scipy.sparse.linalg.eigsh(L, k=1, which='LM', return_eigenvectors=False)[0] + + +# graph coarsening with Heavy Edge Matching +def coarsen(A, levels): + + graphs, parents = HEM(A, levels) + perms = compute_perm(parents) + + laplacians = [] + for i,A in enumerate(graphs): + M, M = A.shape + + if i < levels: + A = perm_adjacency(A, perms[i]) + + A = A.tocsr() + A.eliminate_zeros() + Mnew, Mnew = A.shape + print('Layer {0}: M_{0} = |V| = {1} nodes ({2} added), |E| = {3} edges'.format(i, Mnew, Mnew-M, A.nnz//2)) + + L = laplacian(A, normalized=True) + laplacians.append(L) + + return laplacians, perms[0] if len(perms) > 0 else None + + +def HEM(W, levels, rid=None): + """ + Coarsen a graph multiple times using the Heavy Edge Matching (HEM). + + Input + W: symmetric sparse weight (adjacency) matrix + levels: the number of coarsened graphs + + Output + graph[0]: original graph of size N_1 + graph[2]: coarser graph of size N_2 < N_1 + graph[levels]: coarsest graph of Size N_levels < ... < N_2 < N_1 + parents[i] is a vector of size N_i with entries ranging from 1 to N_{i+1} + which indicate the parents in the coarser graph[i+1] + nd_sz{i} is a vector of size N_i that contains the size of the supernode in the graph{i} + + Note + if "graph" is a list of length k, then "parents" will be a list of length k-1 + """ + + N, N = W.shape + + if rid is None: + rid = np.random.permutation(range(N)) + + ss = np.array(W.sum(axis=0)).squeeze() + rid = np.argsort(ss) + + + parents = [] + degree = W.sum(axis=0) - W.diagonal() + graphs = [] + graphs.append(W) + + print('Heavy Edge Matching coarsening with Xavier version') + + for _ in range(levels): + + # CHOOSE THE WEIGHTS FOR THE PAIRING + # weights = ones(N,1) # metis weights + weights = degree # graclus weights + # weights = supernode_size # other possibility + weights = np.array(weights).squeeze() + + # PAIR THE VERTICES AND CONSTRUCT THE ROOT VECTOR + idx_row, idx_col, val = scipy.sparse.find(W) + cc = idx_row + rr = idx_col + vv = val + + # TO BE SPEEDUP + if not (list(cc)==list(np.sort(cc))): + tmp=cc + cc=rr + rr=tmp + + cluster_id = HEM_one_level(cc,rr,vv,rid,weights) # cc is ordered + parents.append(cluster_id) + + # COMPUTE THE EDGES WEIGHTS FOR THE NEW GRAPH + nrr = cluster_id[rr] + ncc = cluster_id[cc] + nvv = vv + Nnew = cluster_id.max() + 1 + # CSR is more appropriate: row,val pairs appear multiple times + W = scipy.sparse.csr_matrix((nvv,(nrr,ncc)), shape=(Nnew,Nnew)) + W.eliminate_zeros() + + # Add new graph to the list of all coarsened graphs + graphs.append(W) + N, N = W.shape + + # COMPUTE THE DEGREE (OMIT OR NOT SELF LOOPS) + degree = W.sum(axis=0) + #degree = W.sum(axis=0) - W.diagonal() + + # CHOOSE THE ORDER IN WHICH VERTICES WILL BE VISTED AT THE NEXT PASS + #[~, rid]=sort(ss); # arthur strategy + #[~, rid]=sort(supernode_size); # thomas strategy + #rid=randperm(N); # metis/graclus strategy + ss = np.array(W.sum(axis=0)).squeeze() + rid = np.argsort(ss) + + return graphs, parents + + +# Coarsen a graph given by rr,cc,vv. rr is assumed to be ordered +def HEM_one_level(rr,cc,vv,rid,weights): + + nnz = rr.shape[0] + N = rr[nnz-1] + 1 + + marked = np.zeros(N, np.bool) + rowstart = np.zeros(N, np.int32) + rowlength = np.zeros(N, np.int32) + cluster_id = np.zeros(N, np.int32) + + oldval = rr[0] + count = 0 + clustercount = 0 + + for ii in range(nnz): + rowlength[count] = rowlength[count] + 1 + if rr[ii] > oldval: + oldval = rr[ii] + rowstart[count+1] = ii + count = count + 1 + + for ii in range(N): + tid = rid[ii] + if not marked[tid]: + wmax = 0.0 + rs = rowstart[tid] + marked[tid] = True + bestneighbor = -1 + for jj in range(rowlength[tid]): + nid = cc[rs+jj] + if marked[nid]: + tval = 0.0 + else: + + # First approach + if 2==1: + tval = vv[rs+jj] * (1.0/weights[tid] + 1.0/weights[nid]) + + # Second approach + if 1==1: + Wij = vv[rs+jj] + Wii = vv[rowstart[tid]] + Wjj = vv[rowstart[nid]] + di = weights[tid] + dj = weights[nid] + tval = (2.*Wij + Wii + Wjj) * 1./(di+dj+1e-9) + + if tval > wmax: + wmax = tval + bestneighbor = nid + + cluster_id[tid] = clustercount + + if bestneighbor > -1: + cluster_id[bestneighbor] = clustercount + marked[bestneighbor] = True + + clustercount += 1 + + return cluster_id + + +def compute_perm(parents): + """ + Return a list of indices to reorder the adjacency and data matrices so + that the union of two neighbors from layer to layer forms a binary tree. + """ + + # Order of last layer is random (chosen by the clustering algorithm). + indices = [] + if len(parents) > 0: + M_last = max(parents[-1]) + 1 + indices.append(list(range(M_last))) + + for parent in parents[::-1]: + + # Fake nodes go after real ones. + pool_singeltons = len(parent) + + indices_layer = [] + for i in indices[-1]: + indices_node = list(np.where(parent == i)[0]) + assert 0 <= len(indices_node) <= 2 + + # Add a node to go with a singelton. + if len(indices_node) is 1: + indices_node.append(pool_singeltons) + pool_singeltons += 1 + + # Add two nodes as children of a singelton in the parent. + elif len(indices_node) is 0: + indices_node.append(pool_singeltons+0) + indices_node.append(pool_singeltons+1) + pool_singeltons += 2 + + indices_layer.extend(indices_node) + indices.append(indices_layer) + + # Sanity checks. + for i,indices_layer in enumerate(indices): + M = M_last*2**i + # Reduction by 2 at each layer (binary tree). + assert len(indices[0] == M) + # The new ordering does not omit an indice. + assert sorted(indices_layer) == list(range(M)) + + return indices[::-1] + +assert (compute_perm([np.array([4,1,1,2,2,3,0,0,3]),np.array([2,1,0,1,0])]) + == [[3,4,0,9,1,2,5,8,6,7,10,11],[2,4,1,3,0,5],[0,1,2]]) + + + +def perm_adjacency(A, indices): + """ + Permute adjacency matrix, i.e. exchange node ids, + so that binary unions form the clustering tree. + """ + if indices is None: + return A + + M, M = A.shape + Mnew = len(indices) + A = A.tocoo() + + # Add Mnew - M isolated vertices. + rows = scipy.sparse.coo_matrix((Mnew-M, M), dtype=np.float32) + cols = scipy.sparse.coo_matrix((Mnew, Mnew-M), dtype=np.float32) + A = scipy.sparse.vstack([A, rows]) + A = scipy.sparse.hstack([A, cols]) + + # Permute the rows and the columns. + perm = np.argsort(indices) + A.row = np.array(perm)[A.row] + A.col = np.array(perm)[A.col] + + assert np.abs(A - A.T).mean() < 1e-8 # 1e-9 + assert type(A) is scipy.sparse.coo.coo_matrix + return A + + + +def perm_data(x, indices): + """ + Permute data matrix, i.e. exchange node ids, + so that binary unions form the clustering tree. + """ + if indices is None: + return x + + N, M = x.shape + Mnew = len(indices) + assert Mnew >= M + xnew = np.empty((N, Mnew)) + for i,j in enumerate(indices): + # Existing vertex, i.e. real data. + if j < M: + xnew[:,i] = x[:,j] + # Fake vertex because of singeltons. + # They will stay 0 so that max pooling chooses the singelton. + # Or -infty ? + else: + xnew[:,i] = np.zeros(N) + return xnew + diff --git a/lib/grid_graph.py b/lib/grid_graph.py new file mode 100644 index 0000000..3d21bb9 --- /dev/null +++ b/lib/grid_graph.py @@ -0,0 +1,70 @@ +import sklearn +import sklearn.metrics +import scipy.sparse, scipy.sparse.linalg # scipy.spatial.distance +import numpy as np + + +def grid_graph(grid_side,number_edges,metric): + """Generate graph of a grid""" + z = grid(grid_side) + dist, idx = distance_sklearn_metrics(z, k=number_edges, metric=metric) + A = adjacency(dist, idx) + print("nb edges: ",A.nnz) + return A + + +def grid(m, dtype=np.float32): + """Return coordinates of grid points""" + M = m**2 + x = np.linspace(0,1,m, dtype=dtype) + y = np.linspace(0,1,m, dtype=dtype) + xx, yy = np.meshgrid(x, y) + z = np.empty((M,2), dtype) + z[:,0] = xx.reshape(M) + z[:,1] = yy.reshape(M) + return z + + +def distance_sklearn_metrics(z, k=4, metric='euclidean'): + """Compute pairwise distances""" + #d = sklearn.metrics.pairwise.pairwise_distances(z, metric=metric, n_jobs=-2) + d = sklearn.metrics.pairwise.pairwise_distances(z, metric=metric, n_jobs=1) + # k-NN + idx = np.argsort(d)[:,1:k+1] + d.sort() + d = d[:,1:k+1] + return d, idx + + +def adjacency(dist, idx): + """Return adjacency matrix of a kNN graph""" + M, k = dist.shape + assert M, k == idx.shape + assert dist.min() >= 0 + assert dist.max() <= 1 + + # Pairwise distances + sigma2 = np.mean(dist[:,-1])**2 + dist = np.exp(- dist**2 / sigma2) + + # Weight matrix + I = np.arange(0, M).repeat(k) + J = idx.reshape(M*k) + V = dist.reshape(M*k) + W = scipy.sparse.coo_matrix((V, (I, J)), shape=(M, M)) + + # No self-connections + W.setdiag(0) + + # Undirected graph + bigger = W.T > W + W = W - W.multiply(bigger) + W.T.multiply(bigger) + + assert W.nnz % 2 == 0 + assert np.abs(W - 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