{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Probabilistic metrics for GP-LVM and Bayesian GP-LVMs" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This notebook introduces the use of a probabilistic geometries approach in the context of Gaussian processes latent variable models, presenting examples of learning a GPLVM and Bayesian GPLVMs on data and show the latent embedding. Especially the magnification factor and what it says about the latent space.\n", "\n", "Authors: *Alessandra Tosi, Max Zwiessele*\n", "\n", "Note: Requires GPy Version >= 0.8" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/maxz/anaconda/lib/python2.7/site-packages/matplotlib/font_manager.py:273: UserWarning: Matplotlib is building the font cache using fc-list. This may take a moment.\n", " warnings.warn('Matplotlib is building the font cache using fc-list. This may take a moment.')\n" ] } ], "source": [ "import numpy as np\n", "%matplotlib inline\n", "from matplotlib import pyplot as plt\n", "import GPy # import GPy package\n", "np.random.seed(12345)\n", "GPy.plotting.change_plotting_library('plotly')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Introduction to the visualization tools" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We interpret the input space of the GP as a low dimensional $\\textit{manifold}$ embedded into a higher dimensional space and we are interested in investigating its geometrical properties. An important aspect of our analysis is the fact that the geometry of the input space is treated in a probabilistic way, consistently with the considered models.\n", "\n", "We investigate the form of the $\\textit{expected metric}$ of the latent space of GPLVM with exponentiated quadratic kernel. In this notation the output space is denoted with $\\mathbf{Y}$ and the input (latent) space with $\\mathbf{X}$." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# Define dataset \n", "N = 100\n", "k1 = GPy.kern.RBF(5, variance=1, lengthscale=1./np.random.dirichlet(np.r_[10,10,10,0.1,0.1]), ARD=True)\n", "k2 = GPy.kern.RBF(5, variance=1, lengthscale=1./np.random.dirichlet(np.r_[10,0.1,10,0.1,10]), ARD=True)\n", "k3 = GPy.kern.RBF(5, variance=1, lengthscale=1./np.random.dirichlet(np.r_[0.1,0.1,10,10,10]), ARD=True)\n", "X = np.random.normal(0, 1, (N, 5))\n", "A = np.random.multivariate_normal(np.zeros(N), k1.K(X), 10).T\n", "B = np.random.multivariate_normal(np.zeros(N), k2.K(X), 10).T\n", "C = np.random.multivariate_normal(np.zeros(N), k3.K(X), 10).T\n", "\n", "Y = np.vstack((A,B,C))\n", "labels = np.hstack((np.zeros(A.shape[0]), np.ones(B.shape[0]), np.ones(C.shape[0])*2))\n", "\n", "input_dim = 2 # How many latent dimensions to use\n", "kernel = GPy.kern.RBF(input_dim, 1, ARD=True) " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Following from the properties of Gaussian processes (and given that we are using a differentiable kernel) for a test point $\\textbf{x}_*$ we can compute the predictive Jacobian $\\textbf{J}$ as follows:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$ \\mathbf{J} \\sim \\prod_p \\mathcal{N}( \\partial\\mathbf{K}_{*,f}\\mathbf{K}_{f,f}^{-1}\\mathbf{Y}_{:,p}, \\partial^2\\mathbf{K}_{*,*} - \\partial\\mathbf{K}_{*,f}\\mathbf{K}^{-1}_{f,f}\\partial\\mathbf{K}_{f,*} ) $$\n", "\n", "Given that the distribution of the Jacobian is Gaussian and considering the fact that its $p$ rows are independent, we compute the $\\textit{expected metric tensor}$:\n", "\n", "$$ \\mathbf{G} = E(\\mathbf{J}^T \\mathbf{J}) = E(\\mathbf{J}^T)E(\\mathbf{J}) + d*Cov(\\mathbf{J}) $$\n", "\n", "For the visualization of the metric tensor we use the square root of its determinant, called the $\\textit{magnification factor}$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "###### Predictive metric (including covariance)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The computation of the expected metric tensor $\\mathbf{G}$ contains two terms, one related to the mean of the Jacobian $\\mathbf{J}$ and one related to its covariance. The plotting tool below allows to separately visualize the effect of each term. If we use covariance= False, we visualize only the mean and, vice versa, if we use mean = False we plot the effect of the covariance term into the metric." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "\n", "\n", "

\n", "Model: GPLVM
\n", "Objective: 3569.70617678
\n", "Number of Parameters: 603
\n", "Number of Optimization Parameters: 603
\n", "Updates: True
\n", "

\n", "\n", "\n", "\n", "\n", "\n", "\n", "
GPLVM. valueconstraintspriors
latent_mean (300, 2)
rbf.variance 1.0 +ve
rbf.lengthscale 0.2 +ve
Gaussian_noise.variance 1.0 +ve
" ], "text/plain": [ "" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Q = input_dim\n", "m_gplvm = GPy.models.GPLVM(Y, Q, kernel=GPy.kern.RBF(Q))\n", "m_gplvm.kern.lengthscale = .2\n", "m_gplvm.kern.variance = 1\n", "m_gplvm.likelihood.variance = 1.\n", "#m2.likelihood.variance.fix(.1)\n", "m_gplvm" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [], "source": [ "m_gplvm.optimize(messages=1, max_iters=5e4)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "This is the format of your plot grid:\n", "[ (1,1) x1,y1 ] [ (1,2) x2,y1 ]\n", "\n" ] }, { "data": { "text/html": [ "" ], "text/plain": [ "" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "figure = GPy.plotting.plotting_library().figure(1, 2, \n", " shared_yaxes=True,\n", " shared_xaxes=True,\n", " subplot_titles=('Latent Space', \n", " 'Magnification',\n", " )\n", " )\n", "\n", "canvas = m_gplvm.plot_latent(labels=labels, figure=figure, col=(1), legend=False)\n", "canvas = m_gplvm.plot_magnification(labels=labels, figure=figure, col=(2), legend=False)\n", "\n", "GPy.plotting.show(canvas, filename='wishart_metric_notebook')" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "This is the format of your plot grid:\n", "[ (1,1) x1,y1 ] [ (1,2) x2,y1 ] [ (1,3) x3,y1 ]\n", "\n" ] }, { "data": { "text/html": [ "" ], "text/plain": [ "" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "figure = GPy.plotting.plotting_library().figure(1, 3, \n", " shared_yaxes=True,\n", " shared_xaxes=True,\n", " subplot_titles=('Full Magnification', \n", " 'Magnification Mean',\n", " 'Magnification Variance'\n", " )\n", " )\n", "\n", "canvas = m_gplvm.plot_magnification(figure=figure,\n", " covariance=True, \n", " updates=False,\n", " labels = labels,\n", " col=1,\n", " )\n", "\n", "canvas = m_gplvm.plot_magnification(figure=figure,\n", " covariance=False, \n", " updates=False,\n", " labels = labels,\n", " col=2,\n", " )\n", "\n", "canvas = m_gplvm.plot_magnification(figure=figure,\n", " mean=False,\n", " covariance=True, \n", " updates=False,\n", " labels = labels,\n", " col=3,\n", " )\n", "\n", "GPy.plotting.show(canvas, filename='wishart_metric_notebook_mean_variance')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As you can see, the magnification factor tells us about the 'bending' of the GP embedding. Where there is data, the embedding is dense and bends towards the data. This means the magnification shows us, how the plane got warped (with the data pinned on it) to recreate the latent space. You can see the magnification as stretching and bending. The higher the magnification the more stretched the space is at those places. Still, you need to keep in mind, that the magnification is summarized for all latent dimensions and therefore not always full represents what is going on, as a stretching in one dimension could be counteracted by a contraction of another." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Bayesian GPLVM:\n", "\n", "We can plot the magnification also for the Bayesian GPLVM. Here it is defined through the inducing inputs, shown as little white triangles in the plot. You can see, that the magnification evolves around the inducing inputs." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [], "source": [ "GPy.plotting.change_plotting_library('matplotlib')\n", "m = GPy.models.bayesian_gplvm_minibatch.BayesianGPLVMMiniBatch(Y, input_dim, num_inducing=30, missing_data=True)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [], "source": [ "m.optimize(messages=1, max_iters=5e3)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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BwPqEr4XY8etGXBbblfrbFNyHWZahq6sL1Wq1jvjpNHoTRvz0bh+3xypPr6Vm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\nn1bC+g4sUHtDTBtaJVqPIqS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pUmjJZW5nI+uzRBpiBm4oTPsVudESujOu53oK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\nb5BvRGo9ptsa0q3MUZjUeWvAs705TqMYMKQvpXOyzCZ8Hrm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/aJtFz3smeynET8sV69or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egx9TtYh9Pp9FysEia6RAqcaPkWgYy4WAGP3NFmUf/Y8MoraNyyxScu3vXFiy+ivqDAxz6qshJ4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2GoahddC8DrLyN3EPsqcx+/6FUiVTht1lP6FJRG+Yp4EmpuldyE+DJ/jpeGSkSkXmRM+qS+aP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\neSJpsMn8VeSwNWYRY8o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/w5N3YuyMEg/uX133cZKhBOvN8JaGD1HqNw3WFz05P/oXX1tX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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(1, 2, figsize=(15,5))\n", "axes[0].set_title('Latent Space')\n", "v1 = m.plot_latent(labels=labels, ax=axes[0], updates=False)\n", "axes[1].set_title('Magnification')\n", "v2 = m.plot_magnification(labels=labels, ax=axes[1], updates=False, resolution=120)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The magnification factor is less fine grided, as it goes through the inducing inputs, instead of through every data point. Still you can see, the structure of the embedding, being less bent, where there is data and bending towards data. Around the data clusters the magnification (and therefore the embedding) is more flat. Importantly, in the areas far from the data clusters the mean of the embedding is flat, but still the values of the magnification factors show some distortion; this means that out of the data range there is some uncertainty over the structure of the embedding, thanks to the role played by the covariance term." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Stick demo:\n", "Running the stick demo code and plotting the magnification factor for it:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [], "source": [ "m_stick = GPy.examples.dimensionality_reduction.stick_bgplvm(plot=False)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/maxz/anaconda/lib/python2.7/site-packages/matplotlib/figure.py:1744: UserWarning:\n", "\n", "This figure includes Axes that are not compatible with tight_layout, so its results might be incorrect.\n", "\n" ] }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "m_stick.kern.plot_ARD()" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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93uXX2999x9v28DH1Ng+eZ8cWBfIKv2orsjEDiKMU6YryGQisXivgL2qLA4+q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\nPDHtHxaloEbb5wIx980FPEnmFYBeYqQVdKzkYiXd5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BY9UhIozfOv//V38Pjmd6NXFd8a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\nT+lJ+TMLLaeets3ZKdElUH7J32rtaXKabVZ+q4zWP+0c0n5woK+EWsdqx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MQd4lSCx/HQ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gtaCIt5zkj6OVJoCxvfHrNLt378bevXvbORkTBGMdI7/2ta+dvmbuvPNO3HXXXQCaJX3cEz9N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\nqOhx/P9A2xTuxLGrpwAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(1, 2, figsize=(15,5))\n", "wi = [0,3]\n", "axes[0].set_title('Latent Space')\n", "v1 = m_stick.plot_latent(labels=None, ax=axes[0], updates=False, which_indices=wi)\n", "axes[1].set_title('Magnification')\n", "v2 = m_stick.plot_magnification(labels=None, ax=axes[1], updates=False, resolution=120, which_indices=wi)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Oil Flow Data:\n", "Running the Oil Flow dataset" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [], "source": [ "m_oil = GPy.examples.dimensionality_reduction.bgplvm_oil(N=300, plot=False)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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EHKyfSoecMU5vSZdEa9WpRUBbO9Lao3Vp2q/r0tbx5co0vWLZA5qc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FP9q152GFyj5M+M3n8XwieCjEGRlbU7b5HcY7On4fn7h6Gt6wyKiwpx/GI5d7bPaH52oqlmhlkw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\nSUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(1, 2, figsize=(15,5))\n", "axes[0].set_title('Latent Space')\n", "v1 = m_oil.plot_latent(labels=m_oil.data_labels, ax=axes[0], updates=False)\n", "axes[1].set_title('Magnification')\n", "v2 = m_oil.plot_magnification(labels=m_oil.data_labels, ax=axes[1], updates=False, resolution=120)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here we can see, that in order to seperate class 2 out from the data, the BayesianGPLVM needed to stretch thin and the manifold is bent around class 2 the most, whereas it did not have to bend as much to seperate class 0 and 1. " ] } ], "metadata": { "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.10" } }, "nbformat": 4, "nbformat_minor": 0 }