{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Fitting A Gaussian Process\n", "\n", "This notebook is a high level guide concerning the basic concepts to fit a Gaussian process model. Fitting Gaussian process models can be very complex and this notebook does not address the many nuances , tips, and tricks to fit such models well. This notebook merely covers the high level concepts.\n", "\n", "It is assumed that the reader has an understanding of Bayesian \n", "\n", "There are two philosophies for fitting GPs. The first is by far the easier (but less precise) which is maximum likelihood estimation (MLE). The second is to do inference (either Markov Chain Monte Carlo or Variational Inference). It is always faster to use MLE to fit the kernel parameters, but in practice this often leads to poorer fits for the GP. We walk through a simple example of each method here. \n", "\n", "It may seem that I am using overly simplistic examples to explain the concepts in this notebook. I'm simply trying to reduce the complexity of the models being built so that students can focus on the fitting process." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Setting Up An Example Problem" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "# model with Squidward\n", "from squidward.kernels import distance, kernel_base\n", "from squidward import gpr\n", "\n", "# useful visualization functions\n", "import gp_viz\n", "\n", "# generate example data\n", "import numpy as np\n", "\n", "# plot example data\n", "import matplotlib.pyplot as plt\n", "import seaborn as sns\n", "\n", "import warnings\n", "warnings.filterwarnings(\"ignore\")" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "# generate noisy samples for dataset\n", "samples = 100\n", "\n", "# train data\n", "x_train = np.random.uniform(0,15,samples)\n", "noise = np.random.normal(0,250,samples)\n", "y_train = 200 * x_train + noise\n", "\n", "# test data\n", "x_test = np.random.uniform(0,15,samples)\n", "noise = np.random.normal(0,250,samples)\n", "y_test = 200 * x_test + noise\n", "\n", "# generate noiseless data to plot true mean\n", "x_true = np.linspace(0,15,1000)\n", "y_true = 200 * x_true" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# plot example dataset\n", "plt.figure(figsize=(20,5))\n", "plt.title('1D GP Regression Example Dataset')\n", "plt.scatter(x_train,y_train,label='Train Data', c='c')\n", "plt.scatter(x_test,y_test,label='Test Data', c='r')\n", "plt.plot(x_true,y_true,label='True Mean of Data Generating Distribution', c='k')\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Maximum Likelihood Estimation" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "# define loss function for optimizer\n", "def log_likelihood(args):\n", " c, var_b, var_k, var_l = args[0], args[1], args[2], args[3]\n", " \n", " d = distance.Linear(c, var_b, var_k)\n", " kernel = kernel_base.Kernel(d, 'k1')\n", " model = gpr.GaussianProcessInversion(kernel=kernel, var_l=var_l, show_warnings=False)\n", " \n", " try:\n", " model.fit(x_train, y_train)\n", " except:\n", " return np.float('inf')\n", "\n", " # the prior / regularizing term\n", " prior = np.sum(np.array(args)**2)\n", " \n", " # log likelihood\n", " log_likelihood = np.sum(-0.5*y_train.T.dot(model.inv_K).dot(y_train) + -0.5*np.abs(model.K)) + prior\n", " \n", " return log_likelihood + prior " ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "scrolled": false }, "outputs": [], "source": [ "from scipy.optimize import minimize\n", "\n", "# initial starting parameter values\n", "initial_values = [0.0, 10000, 10000, 250**2]\n", "\n", "# run optimizer\n", "result = minimize(log_likelihood, initial_values, bounds=((0, None), (0, None), (0, None), (0, None)))" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# get optimizer results\n", "results = result.x.tolist()\n", "c, var_b, var_k, var_l = results[0], results[1], results[2], results[3]\n", "\n", "# definine a GP based on optimal parameters\n", "d = distance.Linear(c, var_b, var_k)\n", "kernel = kernel_base.Kernel(d, 'k1')\n", "model = gpr.GaussianProcessInversion(kernel=kernel, var_l=var_l, show_warnings=False)\n", "model.fit(x_train, y_train)\n", "\n", "# generate data to plot posterior of model\n", "x = np.linspace(0,15,100)\n", "\n", "# pull the parameters of the posterior distribution\n", "mean, var = model.posterior_predict(x)\n", "\n", "# plot posterior of model\n", "plt.figure(figsize=(20,5))\n", "plt.title(\"GP Posterior Distribution\")\n", "gp_viz.regression.plot_1d(x,mean,var[:,0])\n", "plt.scatter(x_train,y_train,label='Train Data', c='c')\n", "plt.scatter(x_test,y_test,label='Test Data', c='r')\n", "plt.legend()\n", "plt.show()\n", "\n", "# plot posterior predictive\n", "plt.figure(figsize=(20, 5))\n", "plt.title(\"GP Posterior Predictive\")\n", "for i in range(3):\n", "\n", " # draw a sample from the posterior\n", " posterior_sample = model.posterior_sample(x)\n", "\n", " # add likelihood noise \n", " liklihood_noise = model.var_l * np.ones(samples)\n", " liklihood_noise = np.diag(liklihood_noise)\n", " posterior_predictive_sample = np.random.multivariate_normal(mean=posterior_sample, cov=liklihood_noise, size=1)\n", "\n", " plt.scatter(x, posterior_predictive_sample, label=\"GP Posterior Predictive Sample\", c='k', alpha=0.3)\n", "\n", "plt.scatter(x_train,y_train,label='Train Data', c='c')\n", "plt.scatter(x_test,y_test,label='Test Data', c='r')\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Inference\n", "\n", "**This is a toy example!** While inference will provide the full posterior of the GP accounting for uncertainty in the kernel parameters, it is extremely costly computationally. Below I have an illustrative example of how one might go about setting up a metropolis sampler to find the posterior over kernel parameters. I don't recommend using the code below for any actual modeling use case.\n", "\n", "If you plan to do inference to find the posterior over kernel parameters for an actual model, I would recommend using a very efficient sampler ,such as a HMC or Slice sampler, to minimize the number of iterations required to get a valid posterior. Even better, you could use variational inference to find an approximation of the posterior over the kernel parameter. " ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100% |########################################################################|\n" ] } ], "source": [ "import progressbar\n", "import scipy.stats as st\n", "\n", "# define loss function for optimizer\n", "def log_likelihood(c, var_b, var_k, var_l):\n", " \n", " try:\n", " d = distance.Linear(c, var_b, var_k)\n", " kernel = kernel_base.Kernel(d, 'k1')\n", " model = gpr.GaussianProcessInversion(kernel=kernel, var_l=var_l, show_warnings=False)\n", " model.fit(x_train, y_train)\n", " except:\n", " return np.float('-inf')\n", "\n", " # the prior / regularizing term\n", " prior = st.norm(0, 100).logpdf(c) + \\\n", " st.norm(200**2, 1000**2).logpdf(var_b) + \\\n", " st.norm(200**2, 1000**2).logpdf(var_k) + \\\n", " st.norm(200**2, 1000**2).logpdf(var_l)\n", " \n", " # log likelihood\n", " log_likelihood = np.sum(-0.5*y_train.T.dot(model.inv_K).dot(y_train) + -0.5*np.abs(model.K)) + prior\n", " \n", " return log_likelihood + prior\n", "\n", "# the trace of the sampler\n", "trace = {\n", " 'c' : [0.0],\n", " 'var_b' : [69**2],\n", " 'var_k' : [388**2],\n", " 'var_l' : [172**2],\n", "}\n", "\n", "# take jsut enough samples to make the point\n", "n_iter = 100\n", "\n", "# simple metropolis sampler\n", "progress = progressbar.ProgressBar()\n", "for i in progress(range(n_iter)):\n", " \n", " # c step\n", " \n", " propose_c = np.random.normal(trace['c'][-1], 100.0)\n", " \n", " propose_ll = log_likelihood(propose_c,\n", " trace['var_b'][-1],\n", " trace['var_k'][-1],\n", " trace['var_l'][-1])\n", " \n", " current_ll = log_likelihood(trace['c'][-1],\n", " trace['var_b'][-1],\n", " trace['var_k'][-1],\n", " trace['var_l'][-1])\n", " \n", " if propose_ll - current_ll >= np.log(np.random.uniform(0, 1, 1)):\n", " trace['c'].append(propose_c)\n", " else:\n", " trace['c'].append(trace['c'][-1])\n", " \n", " # var_b step\n", " \n", " propose_var_b = np.random.normal(trace['var_b'][-1], 1000.0)\n", " \n", " propose_ll = log_likelihood(trace['c'][-1],\n", " propose_var_b,\n", " trace['var_k'][-1],\n", " trace['var_l'][-1])\n", " \n", " current_ll = log_likelihood(trace['c'][-1],\n", " trace['var_b'][-1],\n", " trace['var_k'][-1],\n", " trace['var_l'][-1])\n", " \n", " if propose_ll - current_ll >= np.log(np.random.uniform(0, 1, 1)):\n", " trace['var_b'].append(propose_var_b)\n", " else:\n", " trace['var_b'].append(trace['var_b'][-1])\n", " \n", " # var_k step\n", " \n", " propose_var_k = np.random.normal(trace['var_k'][-1], 1000.0)\n", " \n", " propose_ll = log_likelihood(trace['c'][-1],\n", " trace['var_b'][-1],\n", " propose_var_k,\n", " trace['var_l'][-1])\n", " \n", " current_ll = log_likelihood(trace['c'][-1],\n", " trace['var_b'][-1],\n", " trace['var_k'][-1],\n", " trace['var_l'][-1])\n", " \n", " if propose_ll - current_ll >= np.log(np.random.uniform(0, 1, 1)):\n", " trace['var_k'].append(propose_var_k)\n", " else:\n", " trace['var_k'].append(trace['var_k'][-1])\n", " \n", " # var_l step\n", " \n", " propose_var_l = np.random.normal(trace['var_l'][-1], 1000.0)\n", " \n", " propose_ll = log_likelihood(trace['c'][-1],\n", " trace['var_b'][-1],\n", " trace['var_k'][-1],\n", " propose_var_l)\n", " \n", " current_ll = log_likelihood(trace['c'][-1],\n", " trace['var_b'][-1],\n", " trace['var_k'][-1],\n", " trace['var_l'][-1])\n", " \n", " if propose_ll - current_ll >= np.log(np.random.uniform(0, 1, 1)):\n", " trace['var_l'].append(propose_var_l)\n", " else:\n", " trace['var_l'].append(trace['var_l'][-1])\n" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10,4))\n", "plt.suptitle(\"Posterior Over Kernel Parameters (Trace Plots)\")\n", "plt.subplot(141)\n", "plt.hist(trace['c'])\n", "plt.subplot(142)\n", "plt.hist(trace['var_b'])\n", "plt.subplot(143)\n", "plt.hist(trace['var_k'])\n", "plt.subplot(144)\n", "plt.hist(trace['var_l'])\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "c = np.mean(trace['c'])\n", "var_b = np.mean(trace['var_b'])\n", "var_k = np.mean(trace['var_k'])\n", "var_l = np.mean(trace['var_l'])\n", "\n", "# definine a GP based on optimal parameters\n", "d = distance.Linear(c, var_b, var_k)\n", "kernel = kernel_base.Kernel(d, 'k1')\n", "model = gpr.GaussianProcessInversion(kernel=kernel, var_l=var_l, show_warnings=False)\n", "model.fit(x_train, y_train)\n", "\n", "# generate data to plot posterior of model\n", "x = np.linspace(0,15,100)\n", "\n", "# pull the parameters of the posterior distribution\n", "mean, var = model.posterior_predict(x)\n", "\n", "# plot posterior of model\n", "plt.figure(figsize=(20,5))\n", "plt.title(\"GP Posterior Distribution\")\n", "gp_viz.regression.plot_1d(x,mean,var[:,0])\n", "plt.scatter(x_train,y_train,label='Train Data', c='c')\n", "plt.scatter(x_test,y_test,label='Test Data', c='r')\n", "plt.legend()\n", "plt.show()\n", "\n", "# plot posterior predictive\n", "plt.figure(figsize=(20, 5))\n", "plt.title(\"GP Posterior Predictive\")\n", "for i in range(3):\n", "\n", " # draw a sample from the posterior\n", " posterior_sample = model.posterior_sample(x)\n", "\n", " # add likelihood noise \n", " liklihood_noise = model.var_l * np.ones(samples)\n", " liklihood_noise = np.diag(liklihood_noise)\n", " posterior_predictive_sample = np.random.multivariate_normal(mean=posterior_sample, cov=liklihood_noise, size=1)\n", "\n", " plt.scatter(x, posterior_predictive_sample, label=\"GP Posterior Predictive Sample\", c='k', alpha=0.3)\n", "\n", "plt.scatter(x_train,y_train,label='Train Data', c='c')\n", "plt.scatter(x_test,y_test,label='Test Data', c='r')\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "squidward_env", "language": "python", "name": "squidward_env" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.8" } }, "nbformat": 4, "nbformat_minor": 2 }