{ "metadata": { "name": "", "signature": "sha256:f855cd50a7036d5f21fea00acdafbd29d680a9474bb8afb20fa38eb212be0bdc" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Non Gaussian Likelihoods\n", "\n", "## Gaussian Winter School, Genova, Italy\n", "### 22nd January 2015\n", "### Ricardo Andrade Pacheco, Max Zwiessele, James Hensman and Neil Lawrence\n", "\n", "In this lab we are going to consider approaches to dealing with non-Gaussian likelihoods." ] }, { "cell_type": "code", "collapsed": false, "input": [ "%matplotlib inline\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import GPy\n", "import pods\n", "from IPython.display import display" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 44 }, { "cell_type": "code", "collapsed": false, "input": [ "\n", "from matplotlib.patches import Polygon\n", "from matplotlib.collections import PatchCollection\n", "import cPickle as pickle\n", "import urllib\n", "\n", "urllib.urlretrieve('http://staffwww.dcs.sheffield.ac.uk/people/M.Zwiessele/gpss/lab2/EastTimor.pickle', 'EastTimor2.pickle')\n", "\n", "#Load the data\n", "with open(\"./EastTimor2.pickle\",\"rb\") as f:\n", " X,y,polygons = pickle.load(f)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 45 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we will create a map of East Timor and, using GPy, plot the data on top of it. \n", "A classification model can be defined in a similar way to the regression model, but now using `GPy.models.GPClassification`. However, once we've define the model, we also need to update the approximation to the likelihood. This runs the Expectation propagation updates." ] }, { "cell_type": "code", "collapsed": false, "input": [ "print y.shape\n", "print X.shape" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "(67, 1)\n", "(67, 2)\n" ] } ], "prompt_number": 46 }, { "cell_type": "code", "collapsed": false, "input": [ "#Visualize a map of East-Timor\n", "fig = plt.figure()\n", "ax = fig.add_subplot(111)\n", "for p in polygons:\n", " ax.add_collection(PatchCollection([Polygon(p)],facecolor=\"#F4A460\"))\n", "ax.set_xlim(124.,127.5)\n", "ax.set_ylim(-9.6,-8.1)\n", "ax.set_xlabel(\"longitude\")\n", "ax.set_ylabel(\"latitude\")\n", "\n", "#Define the model\n", "kern = GPy.kern.RBF(2)\n", "model = GPy.models.GPClassification(X,y, kernel=kern)\n", "display(model)\n", "model.plot(ax=ax)" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "\n", "\n", "

\n", "Model: gp_classification
\n", "Log-likelihood: -115.594679675
\n", "Number of Parameters: 2
\n", "

\n", "\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", "\n", "\n", "\n", "
gp_classification.ValueConstraintPriorTied to
rbf.variance 1.0 +ve
rbf.lengthscale 1.0 +ve
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sFJI10BUbh3CgMPlMGwzG5mBSuJlHdXNmf9gVDEiD7nBss3KgGqB9L9grZugA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\nYyARO75G3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fi2t93nn2ezmfbtMS4sHYWIiMm5BF3zdAwe+civePPIlAx2HyhH/eMTANRU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"text": [ "" ] } ], "prompt_number": 47 }, { "cell_type": "markdown", "metadata": {}, "source": [ "The decision boundary should be quite poor! However we haven't optimized the model. Try the following:\n", "\n" ] }, { "cell_type": "code", "collapsed": false, "input": [ "model.randomize()\n", "model.optimize('bfgs')\n", "\n", "print 'Log likelihood={}'.format(model.log_likelihood())\n", "display(model)\n", "\n", "fig = plt.figure()\n", "ax = fig.add_subplot(111)\n", "for p in polygons:\n", " ax.add_collection(PatchCollection([Polygon(p)],facecolor=\"#F4A460\"))\n", "ax.set_xlim(124.,127.5)\n", "ax.set_ylim(-9.6,-8.1)\n", "ax.set_xlabel(\"longitude\")\n", "ax.set_ylabel(\"latitude\")\n", "model.plot(ax=ax)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Log likelihood=-107.199692241\n" ] }, { "html": [ "\n", "\n", "

\n", "Model: gp_classification
\n", "Log-likelihood: -107.199692241
\n", "Number of Parameters: 2
\n", "

\n", "\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", "\n", "\n", "\n", "
gp_classification.ValueConstraintPriorTied to
rbf.variance 1.66833160644 +ve
rbf.lengthscale 0.316603830844 +ve
" ], "metadata": {}, "output_type": "display_data", "text": [ "" ] }, { "metadata": {}, "output_type": "pyout", "prompt_number": 48, "text": [ "{'contour': ,\n", " 'dataplot': }" ] }, { "metadata": {}, "output_type": "display_data", "png": 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9K1LfhGI5xXvwjoeNMiCRAcqnV+TAilfhszHwQU/YORf6XAbX58GJ78PWb+G9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\nEGTt2e2OCLLw+GXZvO5RMAf48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g3PcfqK9wYPNRTyHHHchNSlgjmXFWQwsZOdBFB6lGFw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\n083cdVcW2dkW5s+PdCt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"text": [ "" ] } ], "prompt_number": 48 }, { "cell_type": "markdown", "metadata": {}, "source": [ "The optimization is based on the likelihood approximation that was made after we constructed the model. However, because we've now changed the model parameters the quality of that approximation has now probably deteriorated. To improve the model we should iterate between updating the Expectation propagation approximation and optimizing the model parameters. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Exercise 1\n", "\n", "Write a for loop to optimize the model by iterating between EP and kernel parameters optimization. What happens with the decision boundary after these iterations?" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Exercise 1 answer here" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 50 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Robust Regression: A Running Example\n", "\n", "Yesterday we considered the olympic marathon data. In 1904 we noted there was an outlier example. Today we'll see if we can deal with that outlier by considering a non-Gaussian likelihood. Noise sampled from a Student-$t$ density is heavier tailed than that sampled from a Gaussian. However, it cannot be trivially assimilated into the Gaussian process. Below we use the *Laplace approximation* to incorporate this noise model." ] }, { "cell_type": "code", "collapsed": false, "input": [ "# redownload the marathon data from yesterday and plot\n", "data = pods.datasets.olympic_marathon_men()\n", "X = data['X']\n", "Y = data['Y']\n", "\n", "plt.plot(X, Y, 'bx')\n", "plt.xlabel('year')\n", "plt.ylabel('marathon pace min/km')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 51, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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WycnCzMwyOVmYmVmm/w++XZSdkl44NAAAAABJRU5ErkJggg==\n", "text": [ "" ] } ], "prompt_number": 51 }, { "cell_type": "code", "collapsed": false, "input": [ "# make a student t likelihood with standard parameters\n", "t_distribution = GPy.likelihoods.StudentT(deg_free=5, sigma2=2)\n", "laplace = GPy.inference.latent_function_inference.Laplace()\n", "\n", "kern = GPy.kern.RBF(1, lengthscale=20) + GPy.kern.Bias(1)\n", "model = GPy.core.GP(X, Y, kernel=kern, inference_method=laplace, likelihood=t_distribution)\n", "model.constrain_positive('t_noise')\n", "\n", "model.optimize()\n", "model.plot()\n", "display(model)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "WARNING: reconstraining parameters gp\n" ] }, { "html": [ "\n", "\n", "

\n", "Model: gp
\n", "Log-likelihood: 0.229198900966
\n", "Number of Parameters: 5
\n", "

\n", "\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", "\n", "\n", "\n", "\n", "\n", "\n", "
gp.ValueConstraintPriorTied to
add.rbf.variance 0.369163294699 +ve
add.rbf.lengthscale 24.7889955937 +ve
add.bias.variance 8.71519672427 +ve
Student_T.t_scale2 0.00853947044833 +ve
Student_T.deg_free 5.0 +ve
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vsVc4nT3g3htTSt+qjVprtNb87Zn/4B/uv5ufPP57XtmXQ2xUEClxwVwobRjS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\nqsTb3Q2jsbsCWqfNib+fFxE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"text": [ "" ] } ], "prompt_number": 52 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Exercise 2\n", "\n", "Compare this model with a regression model using a Gaussian likelihood. What difference do you notice in the predictions? Which model do you think is better?" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Exercise 2 answer" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 53 } ], "metadata": {} } ] }