From d35ea54788853e9f8129a45baf7650e478eea3bd Mon Sep 17 00:00:00 2001 From: muatik Date: Sat, 17 Dec 2016 20:08:52 +0200 Subject: [PATCH] adds yet another gaussian process notebook --- Trueskill.ipynb | 315 +++++++++++++++++++++++++++++++++ gaussian_process_midterm.ipynb | 5 +- gaussianprocess2.ipynb | 245 +++++++++++++++++++------ 3 files changed, 508 insertions(+), 57 deletions(-) create mode 100644 Trueskill.ipynb diff --git a/Trueskill.ipynb b/Trueskill.ipynb new file mode 100644 index 0000000..a312bee --- /dev/null +++ b/Trueskill.ipynb @@ -0,0 +1,315 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "https://github.com/atcemgil/notes/blob/master/swe582/SWE582%20TakeHome%202016.ipynb\n", + "\n", + "http://mbmlbook.com/TrueSkill.html and \n", + "http://mbmlbook.com/TrueSkill_Modelling_the_outcome_of_games.html" + ] + }, + { + "cell_type": "code", + "execution_count": 170, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "import numpy as np\n", + "from matplotlib import pyplot as plt\n", + "import seaborn as sns\n", + "sns.set(color_codes=True)\n", + "\n", + "%matplotlib inline" + ] + }, + { + "cell_type": "code", + "execution_count": 171, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 171, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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/BXwdOAD8OfDd/HGMMVvxEoY9QFf+p1sJg8itvXLhxiqQe7a3L9r+ORJuLGF0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\nrkJggg==\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "N = 10000\n", + "mean = 0\n", + "std_dev = 1\n", + "samples1 = np.random.normal(mean, std_dev, N)\n", + "sns.distplot(samples,norm_hist=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 172, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "n, bins, patches = plt.hist(samples1, bins=30, normed=True)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### percentage" + ] + }, + { + "cell_type": "code", + "execution_count": 173, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "between -1 and 1: %0.6733\n", + "between -2 and 2: %0.9504\n", + "between -3 and 3: %0.9968\n" + ] + } + ], + "source": [ + "percentage_1 = len(np.where((samples1 >= -1) & (samples1 <=1))[0]) / N\n", + "percentage_2 = len(np.where((samples1 >= -2) & (samples1 <=2))[0]) / N\n", + "percentage_3 = len(np.where((samples1 >= -3) & (samples1 <=3))[0]) / N\n", + "print(\"between -1 and 1: %{}\".format(percentage_1))\n", + "print(\"between -2 and 2: %{}\".format(percentage_2))\n", + "print(\"between -3 and 3: %{}\".format(percentage_3))" + ] + }, + { + "cell_type": "code", + "execution_count": 174, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "mean: -0.01106177714721072, \n", + "variance: 1.0390332214029767, \n", + "standard deviation: 1.0193297903048733\n" + ] + } + ], + "source": [ + "print(\"mean: {}, \\nvariance: {}, \\nstandard deviation: {}\".format(\n", + " np.mean(samples1),\n", + " np.var(samples1),\n", + " np.std(samples1)))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### creating the second sample set" + ] + }, + { + "cell_type": "code", + "execution_count": 175, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "N = 10000\n", + "mean = 1\n", + "std_dev = 1\n", + "samples2 = np.random.normal(mean, std_dev, N)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## pairing the two sample sets\n", + "> the X co-ordinate of each point is a sample from the first set and the Y co-ordinate is the corresponding sample from the second set " + ] + }, + { + "cell_type": "code", + "execution_count": 176, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 176, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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gCoQypHJM7r3nzuzvZxohp5mG5ANc2BBDgEAYx2R1BZ7ZtkMwAgBesW8tntn2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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.scatter(samples1, samples2)\n", + "plt.plot(np.linspace(-3,5, 10000), np.linspace(-3,5, 10000), c=\"r\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### the fraction of samples which lie above the diagonal line where X=Y" + ] + }, + { + "cell_type": "code", + "execution_count": 177, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "0.7607" + ] + }, + "execution_count": 177, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "len(np.where((samples2 > samples1))[0]) / N" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### the posterior distribution numerically over Ywins" + ] + }, + { + "cell_type": "code", + "execution_count": 192, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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lWupZbHIWH1NNhEgwKESIFJHXnLF1U3U3ZXi82giN0BAJBoUIkSJaGplR5U0Z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\nay7ZRChU3JkRJT+ZmjBnLnM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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "ywins = 0.758924433521\n" + ] + } + ], + "source": [ + "def calc_ywins():\n", + " from scipy.stats import norm\n", + " meanD = 1 - 0\n", + " varD = 1 + 1\n", + " x = np.linspace(-10, 11, 1000)\n", + " dProbs = norm.pdf(x, meanD, scale=varD**(1/2)) # scale is standard deviation\n", + " plt.plot(x, dProbs)\n", + " plt.plot([0,0],[0,0.25], 'r-')\n", + " plt.fill_between(x,0,dProbs,color='cyan', where=x>0)\n", + " plt.show()\n", + "\n", + " yWins = [d for (i,d) in enumerate(dProbs) if x[i] > 0]\n", + " print(\"ywins = \", np.trapz(yWins, dx=x[1]-x[0]))\n", + "calc_ywins()" + ] + }, + { + "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": "3.5.2" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} diff --git a/gaussian_process_midterm.ipynb b/gaussian_process_midterm.ipynb index 8ee4002..cb622f6 100644 --- a/gaussian_process_midterm.ipynb +++ b/gaussian_process_midterm.ipynb @@ -30,7 +30,7 @@ }, { "cell_type": "code", - "execution_count": 22, + "execution_count": 298, "metadata": { "collapsed": false }, @@ -48,6 +48,7 @@ "source": [ "x = np.array([-2, -1, 0, 3.5, 4,]);\n", "y = np.array([4.1, 0.9, 2, 12.3, 15.8])\n", + "\n", "N = len(x)\n", "m = np.zeros((N))\n", "print(x)\n", @@ -90,7 +91,7 @@ }, { "cell_type": "code", - "execution_count": 281, + "execution_count": 299, "metadata": { "collapsed": false }, diff --git a/gaussianprocess2.ipynb b/gaussianprocess2.ipynb index cc7d15f..cb39bac 100644 --- a/gaussianprocess2.ipynb +++ b/gaussianprocess2.ipynb @@ -18,50 +18,59 @@ }, { "cell_type": "code", - "execution_count": 87, + "execution_count": 304, "metadata": { - "collapsed": true + "collapsed": false }, "outputs": [], "source": [ "class GP(object):\n", " \n", " @classmethod\n", - " def kernel_bell_shape(cls, x, y, beta=1, delta=1):\n", + " def kernel_bell_shape(cls, x, y, delta=1.0):\n", " return np.exp(-1/2.0 * np.power(x - y, 2) / delta)\n", " \n", " @classmethod\n", - " def kernel_laplacian(cls, x, y):\n", - " return np.exp(-1/2.0 * np.abs(x - y))\n", + " def kernel_laplacian(cls, x, y, delta=1):\n", + " return np.exp(-1/2.0 * np.abs(x - y) / delta)\n", " \n", " @classmethod\n", - " def generate_kernel(cls, kernel, beta=1, delta=1):\n", + " def generate_kernel(cls, kernel, delta=1):\n", " def wrapper(*args, **kwargs):\n", - " kwargs.update({\"beta\": beta, \"delta\": delta})\n", + " kwargs.update({\"delta\": delta})\n", " return kernel(*args, **kwargs)\n", " return wrapper\n", " \n", - " def __init__(self, x, y, cov_f=None):\n", + " def __init__(self, x, y, cov_f=None, R=0):\n", " super().__init__()\n", " self.x = x\n", " self.y = y\n", " self.N = len(self.x)\n", - "\n", + " self.R = R\n", + " \n", " self.sigma = []\n", " self.mean = []\n", " self.cov_f = cov_f if cov_f else self.kernel_bell_shape\n", " self.setup_sigma()\n", + "\n", + " @classmethod\n", + " def calculate_sigma(cls, x, cov_f, R=0):\n", + " N = len(x)\n", + " sigma = np.ones((N, N))\n", + " for i in range(N):\n", + " for j in range(i+1, N):\n", + " cov = cov_f(x[i], x[j])\n", + " sigma[i][j] = cov\n", + " sigma[j][i] = cov\n", " \n", + " sigma = sigma + R * np.eye(N)\n", + " return sigma\n", + " \n", " def setup_sigma(self):\n", - " self.sigma = np.ones((self.N, self.N))\n", - " for i in range(self.N):\n", - " for j in range(i+1, self.N):\n", - " cov = self.cov_f(self.x[i], self.x[j])\n", - " self.sigma[i][j] = cov\n", - " self.sigma[j][i] = cov\n", + " self.sigma = self.calculate_sigma(self.x, self.cov_f, self.R)\n", "\n", " def predict(self, x):\n", - " cov = self.cov_f(x, x)\n", + " cov = 1 + self.R * self.cov_f(x, x)\n", " sigma_1_2 = np.zeros((self.N, 1))\n", " for i in range(self.N):\n", " sigma_1_2[i] = self.cov_f(self.x[i], x)\n", @@ -69,8 +78,35 @@ " # SIGMA_1_2 * SIGMA_1_1.I * (Y.T -M)\n", " # M IS ZERO\n", " m_expt = (sigma_1_2.T * np.mat(self.sigma).I) * np.mat(self.y).T\n", - " sigma_expt = cov - (sigma_1_2.T * np.mat(self.sigma).I) * sigma_1_2\n", - " return m_expt, sigma_expt\n" + " # sigma_expt = cov - (sigma_1_2.T * np.mat(self.sigma).I) * sigma_1_2\n", + " sigma_expt = cov + self.R - (sigma_1_2.T * np.mat(self.sigma).I) * sigma_1_2\n", + " return m_expt, sigma_expt\n", + " \n", + " @staticmethod\n", + " def get_probability(sigma, y, R):\n", + " multiplier = np.power(np.linalg.det(2 * np.pi * sigma), -0.5)\n", + " return multiplier * np.exp(\n", + " (-0.5) * (np.mat(y) * np.dot(np.mat(sigma).I, y).T))\n", + "\n", + " def optimize(self, R_list, B_list):\n", + " \n", + " def cov_f_proxy(delta, f):\n", + " def wrapper(*args, **kwargs):\n", + " kwargs.update({\"delta\": delta})\n", + " return f(*args, **kwargs)\n", + " return wrapper\n", + " \n", + " best = (0, 0, 0)\n", + " history = []\n", + " for r in R_list:\n", + " best_beta = (0, 0)\n", + " for b in B_list:\n", + " sigma = gaus.calculate_sigma(self.x, cov_f_proxy(b, self.cov_f), r)\n", + " marginal = b* float(self.get_probability(sigma, self.y, r))\n", + " if marginal > best_beta[0]:\n", + " best_beta = (marginal, b)\n", + " history.append((best_beta[0], r, best_beta[1]))\n", + " return sorted(history)[-1], np.mat(history)\n" ] }, { @@ -82,7 +118,7 @@ }, { "cell_type": "code", - "execution_count": 88, + "execution_count": 305, "metadata": { "collapsed": false }, @@ -90,18 +126,18 @@ { "data": { "text/plain": [ - "[]" + "[]" ] }, - "execution_count": 88, + "execution_count": 305, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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EhGA4gRqLse8jHwCg7ur34DyzuNUWxeym6HQYHLlyxD39oxMPh574CwOP/gG9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\nWVlE2cxY7P0777HANanRXLMym+o6Bzu1EnLzqzlWUE1+SR0VtQ48nt4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ERmeHF+u02Uy79RYCmTloMm0jvrYQIj1JYiDEOLF+7XqKAZ9i4O3lL2GuKWTmzFnDulbT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\njsNba+r4/fL1ibsPJlYWcc1Fx1I1gOnZ7p07iTQ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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -109,8 +145,8 @@ } ], "source": [ - "x = np.array([-2, -1, 0, 3.5, 4, 15]);\n", - "y = np.array([4.1, 0.9, 2, 12.3, 15.8, 15])\n", + "x = np.array([-2, -1, 0, 3.5, 4]);\n", + "y = np.array([4.1, 0.9, 2, 12.3, 15.8])\n", "gaus = GP(x, y)\n", "\n", "x_guess = np.linspace(-5, 16, 400)\n", @@ -124,34 +160,121 @@ }, { "cell_type": "code", - "execution_count": 92, + "execution_count": 306, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "def create_case(kernel, R=0):\n", + " x = np.array([-2, -1, 0, 3.5, 4]);\n", + " y = np.array([4.1, 0.9, 2, 12.3, 15.8])\n", + " gaus = GP(x, y, kernel, R=R)\n", + "\n", + " x_guess = np.linspace(-4, 6, 400)\n", + " y_pred = np.vectorize(gaus.predict)(x_guess)\n", + " \n", + " plt.scatter(x, y, c=\"black\")\n", + " plt.plot(x_guess, y_pred[0], c=\"b\")\n", + " plt.plot(x_guess, y_pred[0] - np.sqrt(y_pred[1]) * 3, \"r:\")\n", + " plt.plot(x_guess, y_pred[0] + np.sqrt(y_pred[1]) * 3, \"r:\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## The effects of regularization parameter" + ] + }, + { + "cell_type": "code", + "execution_count": 307, + "metadata": { + "collapsed": false, + "scrolled": false + }, + "outputs": [ + { + "data": { + "image/png": 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sv3DxRNZuL8Dr8/OvZTu48vyWw1BKP/6IguefIzI1jdE/+Wmn70dEOkf5qIiI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OIyKigJFEEeZDByGJYo99NudWwXn04/GpaixYsAgrVlyO1157Czk5E7o9ZiAbqfSmcc3XqP7H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k50aK+uYtVPr6F51ap+zzVcdiBAw6JPaSv/ZgNGl8tF/llnU3DeBWogSlSpnf9vmr9aQcbs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\n0vH/pQ7mFTOMMecCvyd4t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yYqVFikaKN3FOnAk05R7oQJXZg90L7M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FZeO59KqbceeU0dDfWNzT1ku7PzTw+aFwjPrWXuo/Yman02GlINtNfraL3CwneVmu/o/+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\n3/Sft2P2p0SPSCTS/WdPdrZ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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(16, 16))\n", + "for i, r in enumerate([0.0001, 0.03, 0.09, 0.8, 1.5, 5.0]):\n", + " plt.subplot(\"32{}\".format(i+1))\n", + " plt.title(\"kernel={}, delta={}, beta={}\".format(\"bell shape\", 1, r))\n", + " create_case(\n", + " GP.generate_kernel(GP.kernel_bell_shape, delta=1), R=r)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## The effects of delta" + ] + }, + { + "cell_type": "code", + "execution_count": 308, "metadata": { "collapsed": false }, "outputs": [ { "data": { - "image/png": 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EhGA4gRqLse8jHwCg7ur34DyzuNUWxeym6HQYHLlyxD39oxMPh574CwOP/gG9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\nWVlE2cxY7P0777HANanRXLMym+o6Bzu1EnLzqzlWUE1+SR0VtQ48nt4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3j29+5Dz+ef8zEA5TfeXXWLx8ejRKLiIiIiKTWGdXiN8/aWmOSyYjNYHLzlhE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\nB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5KDkA9wZ0pifFJR147d4Vq4xYX7dbeHXHIZhpNXjplP5kgSGeyDQi5gd4iU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yKL8SlBxC+8uFdeF9YWFnHgnrt4P24qrrBhDA5O4vTytYTfeg8p6UmBLk9EpN/o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WHJNnUvj+Gvrmb2NuQz71/YYxbtwMu2OJiLTXIb6823EKUHiiJ4qK0rqs7RFo9YuNDWfU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\ncOFSNhTWEb5tNUkuF670iWxK7EV6L4M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"text/plain": [ - "" + "" ] }, "metadata": {}, "output_type": "display_data" - }, + } + ], + "source": [ + "plt.figure(figsize=(16, 16))\n", + "for i, d in enumerate([0.05, 0.5, 1, 3.2, 5.0, 7.0]):\n", + " plt.subplot(\"32{}\".format(i+1))\n", + " plt.title(\"kernel={}, delta={}, beta={}\".format(\"kernel_laplacian\", d, 1))\n", + " create_case(\n", + " GP.generate_kernel(GP.kernel_bell_shape, delta=d), R=0)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Finding the optimal parameters" + ] + }, + { + "cell_type": "code", + "execution_count": 322, + "metadata": { + "collapsed": false + }, + "outputs": [ { - "name": "stderr", + "name": "stdout", "output_type": "stream", "text": [ - "/Users/muatik/projects/dm/venv/lib/python3.5/site-packages/ipykernel/__main__.py:11: RuntimeWarning: invalid value encountered in sqrt\n", - "/Users/muatik/projects/dm/venv/lib/python3.5/site-packages/ipykernel/__main__.py:12: RuntimeWarning: invalid value encountered in sqrt\n" + "best parameters (probability, r, b): (1.5498274313157562e-19, 1.0, 10.0)\n" ] }, { "data": { - "image/png": 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Xrj7laxanEWB2LcryxqYiGj9eR/E9d1HzXxmEKAauwW6g2RhEvKWBqeVf+zoc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\nT8xbIBDgmTc28Pba0DyDoQNSuf2yiWSlJx31vU37a/n78iL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UUFO1AJOhjTBQmm9n+Xvex403fnJGVyUA5Fx4MTkXXhz/uiTPyvYD3WNWJmhM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C8y7A6fOlsTMROVlJDwqmaa4/9v+GYQy+aQKx0w6D1QM69SAyhljRKHX33oMrv4Dqz/1r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\n3UD+kqUUXXFxvF544cUUrF6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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -169,26 +292,17 @@ } ], "source": [ - "def create_case(kernel):\n", - " x = np.array([-2, -1, 0, 3.5, 4, 15]);\n", - " y = np.array([4.1, 0.9, 2, 12.3, 15.8, 15])\n", - " gaus = GP(x, y, kernel)\n", - "\n", - " x_guess = np.linspace(-5, 16, 400)\n", - " y_pred = np.vectorize(gaus.predict)(x_guess)\n", - "\n", - " plt.scatter(x, y, c=\"black\")\n", - " plt.plot(x_guess, y_pred[0], c=\"b\")\n", - " plt.plot(x_guess, y_pred[0] - np.sqrt(y_pred[1]) * 3, \"r:\")\n", - " plt.plot(x_guess, y_pred[0] + np.sqrt(y_pred[1]) * 3, \"r:\")\n", - " plt.show()\n", - "\n", - "create_case(\n", - " GP.generate_kernel(GP.kernel_bell_shape, beta=1, delta=1))\n", - "create_case(\n", - " GP.generate_kernel(GP.kernel_bell_shape, beta=1, delta=8))\n", + "x = np.array([-2, -1, 3.5]);\n", + "y = np.array([4.1, 0.9, 12.3])\n", + "gaus = GP(x, y)\n", + "R_list = np.linspace(0.0, 1, 100)\n", + "B_list = np.linspace(0.1, 10, 20)\n", + "best_params, history = gaus.optimize(R_list, B_list)\n", + "plt.plot(history[:,1], history[:,2])\n", + "print(\"best parameters (probability, r, b): \", best_params)\n", + "plt.show()\n", "create_case(\n", - " GP.generate_kernel(GP.kernel_bell_shape, beta=1, delta=2))\n" + " GP.generate_kernel(GP.kernel_bell_shape, delta=10), R=1.0)" ] }, { @@ -198,6 +312,15 @@ "## Prediction" ] }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] + }, { "cell_type": "code", "execution_count": 24, @@ -267,6 +390,18 @@ "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": "3.5.2" } }, "nbformat": 4,