{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Spike and Slab GP-LVM for Factor Analysis" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Model Definition" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "GP-LVM (Lawrence 2005) with a linear kernel:\n", "\\begin{equation}\n", "p(Y|X) = \\prod_{d=1}^D p(y_{:,d}| X), \\quad p(y_{:,d}|X) = \\mathcal{N}(y_{:,d}; 0, XX^T+\\beta^{-1}I)\n", "\\end{equation}\n", "It is related to probabilistic PCA, while giving a prior distribution over the weight matrix $W$ instead of $X$ and marginalizing $W$:\n", "\\begin{equation}\n", "p(Y|X) = \\prod_{d=1}^D \\mathcal{N}(y_{:,d};Xw_d, \\beta^{-1}I), \\quad\n", "p(W) = \\prod_{d=1}^D \\mathcal{N}(w_d; 0, I).\n", "\\end{equation}\n", "\n", "GP-LVM has been extended by giving a prior over $X$, known as Bayesian GP-LVM (Titsias & Lawrence 2010).\n", "\\begin{equation}\n", "p(X) = \\prod_{n=1}^N \\mathcal{N}(x_n; 0, I)\n", "\\end{equation}\n", "\n", "For factor analysis, it is often useful to assume $X$ to be sparse. Therefore, we extend Bayesian GP-LVM by assuming a Spike and Slab prior over $X$. Then, the GP model definition becomes:\n", "\\begin{align}\n", "p(X)=\\prod_{n=1}^N \\mathcal{N}(x_n; 0, I), &\\quad p(B) = \\prod_{n=1}^N \\prod_{q=1}^Q \\pi^{b_{nq}} (1-\\pi)^{1-b_{nq}},\\\\\n", "p(Y|X) = \\prod_{d=1}^D p(y_{:,d}| X), &\\quad p(y_{:,d}|X) = \\mathcal{N}(y_{:,d}; 0, K+\\beta^{-1}I), \n", "\\end{align}\n", "where $K$ is calculated according to the corresponding linear kernel function:\n", "\\begin{equation}\n", "k(x,b,x',b') = \\sum_{q=1}^Q \\sigma^2_q x_q b_q x'_q b'_q\n", "\\end{equation}" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## An Experiment with Synthetic Data" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We generate some artifical data and mixing them with a weight matrix." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [], "source": [ "import numpy as np\n", "import GPy\n", "%matplotlib inline\n", "#%config InlineBackend.figure_format = 'svg'\n", "from pylab import *\n", "np.random.seed(113321)" ] }, { "cell_type": "raw", "metadata": {}, "source": [ "We generated samples from 3 sine wave functions with random frequencies and offsets, and randomly set 80% of the samples to zeros (see the following figure)." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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L9LUjdzYjA/Y5Bo62idyPfxz8E9dnlue5d7RcqOWd1Em0NX3Z/5bNvog814wZ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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Prepare the data\n", "N,D,Q = 500, 100, 3\n", "pi = 0.2\n", "# sample from 3 random sine waves\n", "X = np.sin(2*np.pi*(np.random.rand(Q)[None,:]+.5)*(np.linspace(0.,3.,N)[:,None]-np.random.rand(Q)[None,:]))\n", "# set 80% of the values to zeros\n", "X = X*((np.random.rand(N,Q)" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "noise_sigma = 0.1\n", "# Generate a weight matrix\n", "W = np.random.randn(D,Q)\n", "# Project to the observed space plus some Gaussian noise\n", "y = np.dot(X,W.T)+np.random.randn(N,D)*noise_sigma\n", "y = (y-y.mean())/y.std()\n", "# Plot the \n", "_ = plot(y[:,:2])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Applying Spike and Slab GP-LVM" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We create a Spike and Slab GPLVM model object with a linear kernel:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "Name : Spike_and_Slab GPLVM\n", "Objective : 1336353.57033\n", "Number of Parameters : 4516\n", "Number of Optimization Parameters : 4513\n", "Updates : True\n", "Parameters:\n", " \u001b[1mSpike_and_Slab_GPLVM. \u001b[0;0m | value | constraints | priors\n", " \u001b[1mlatent space.mean \u001b[0;0m | (500, 3) | | \n", " \u001b[1mlatent space.variance \u001b[0;0m | (500, 3) | +ve | \n", " \u001b[1mlatent space.binary_prob\u001b[0;0m | (500, 3) | 1e-10,0.9999999999 | \n", " \u001b[1minducing inputs \u001b[0;0m | (3, 3) | | \n", " \u001b[1mlinear.variances \u001b[0;0m | (3,) | +ve | \n", " \u001b[1mGaussian_noise.variance \u001b[0;0m | 0.01 | +ve | \n", " \u001b[1mSpikeAndSlabPrior.Pi \u001b[0;0m | (3,) | fixed | \n" ] } ], "source": [ "m = GPy.models.SSGPLVM(y, Q, kernel=GPy.kern.Linear(Q,ARD=True),num_inducing=Q)\n", "# Show the model parameters\n", "m.likelihood.variance = .01\n", "m.X.variance = .1\n", "print m" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# Optimize the model parameters\n", "m.optimize('bfgs',messages=1,max_iters=10000)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "Name : Spike_and_Slab GPLVM\n", "Objective : -6593.56992735\n", "Number of Parameters : 4516\n", "Number of Optimization Parameters : 4513\n", "Updates : True\n", "Parameters:\n", " \u001b[1mSpike_and_Slab_GPLVM. \u001b[0;0m | value | constraints | priors\n", " \u001b[1mlatent space.mean \u001b[0;0m | (500, 3) | | \n", " \u001b[1mlatent space.variance \u001b[0;0m | (500, 3) | +ve | \n", " \u001b[1mlatent space.binary_prob\u001b[0;0m | (500, 3) | 1e-10,0.9999999999 | \n", " \u001b[1minducing inputs \u001b[0;0m | (3, 3) | | \n", " \u001b[1mlinear.variances \u001b[0;0m | (3,) | +ve | \n", " \u001b[1mGaussian_noise.variance \u001b[0;0m | 0.0392378671791 | +ve | \n", " \u001b[1mSpikeAndSlabPrior.Pi \u001b[0;0m | (3,) | fixed | \n", " \u001b[1mindex\u001b[0;0m | Spike_and_Slab_GPLVM.SpikeAndSlabPrior.Pi | constraints | priors\n", " \u001b[1m[0] \u001b[0;0m | 0.50000000 | fixed | \n", " \u001b[1m[1] \u001b[0;0m | 0.50000000 | fixed | \n", " \u001b[1m[2] \u001b[0;0m | 0.50000000 | fixed | \n" ] } ], "source": [ "# Show the model parameters after optimization\n", "print m\n", "print m.variational_prior.pi" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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6an9T+6/e/53wPpuamkIul2tqvUTZwRMscd9MDh7LAmIxq8LBE4tZJPAQBEEQ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+DxJrEW09NuqDeHIAoSidpTzZ07D/Cud/2Uq64aWtR5tZowBxEpeBaHsKAFagF2kCBUFMdPuQhC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TSKZdGwahXRiy/GNE38fj/plhYWLlyIoigsWrKEBx98kJqaGpoWL2a8rIxUTw+KouQzCek6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\n7rupg6dO+XLd6NUCT1GD+gnVyJ228zaNo4GoT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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot the posterior distribution of X\n", "# The left figure shows the mean and variance (the thickness) of \n", "# the slab part (the gray color shows the other dimensions for comparison)\n", "# The right figure shows the posterior probability of the binary variable for having the slab\n", "a = m.X.plot()" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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mS6H8j84dRdqdX7TyNz18B7V9+tWxEvK3DzvM8A56m/zYPnXDOzCSto9Tr5VA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QXgJ/lx/gPfS1JrfvLV8LiL2abXCvhbHdhUsioMxmDy9evUCMyhinRW81u/onnFy8ReGHWSeIYj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\nqUDhvNU+MqbQ/IHu6Bouu8xlbl57+bVoW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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# In order to compare the recovered X, we flipped the sign of the 2nd, 3rd dimensions, and rescale the values.\n", "# The figure shows the absolute difference between the recovered X and the original X\n", "Xcom = m.X.mean.copy()*np.array([1.,-1.,-1.])\n", "Xcom = Xcom/np.abs(Xcom).max(axis=0)\n", "_ = plot(np.abs(Xcom-X))" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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MJgPZMpGJEGzBnUoSQX1tSEC0ZTIx3Hj5OZhfKKI0XB71a65+SYGSX7S7aa9e1FFsslCM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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot the distribution of the recovered X (only 1st and 3rd dimension)\n", "# As shown in the figure, it follows a spike and slab distribution\n", "_ = m.plot_latent()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Apply Bayesian GP-LVM" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As a comparison, we also apply the synthetic data to the original Bayesian GPLVM model." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "Name : bayesian gplvm\n", "Objective : 51624.7110985\n", "Number of Parameters : 3013\n", "Number of Optimization Parameters : 3013\n", "Updates : True\n", "Parameters:\n", " \u001b[1mbayesian_gplvm. \u001b[0;0m | value | constraints | priors\n", " \u001b[1mlatent space.mean \u001b[0;0m | (500, 3) | | \n", " \u001b[1mlatent space.variance \u001b[0;0m | (500, 3) | +ve | \n", " \u001b[1minducing inputs \u001b[0;0m | (3, 3) | | \n", " \u001b[1mlinear.variances \u001b[0;0m | (3,) | +ve | \n", " \u001b[1mGaussian_noise.variance\u001b[0;0m | 1.0 | +ve | \n" ] } ], "source": [ "m = GPy.models.BayesianGPLVM(y, Q, kernel=GPy.kern.Linear(Q,ARD=True),num_inducing=Q)\n", "# Show the model parameters\n", "print m" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# Optimize the model parameters\n", "m.optimize('bfgs',messages=1,max_iters=10000)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "Name : bayesian gplvm\n", "Objective : -3717.46060167\n", "Number of Parameters : 3013\n", "Number of Optimization Parameters : 3013\n", "Updates : True\n", "Parameters:\n", " \u001b[1mbayesian_gplvm. \u001b[0;0m | value | constraints | priors\n", " \u001b[1mlatent space.mean \u001b[0;0m | (500, 3) | | \n", " \u001b[1mlatent space.variance \u001b[0;0m | (500, 3) | +ve | \n", " \u001b[1minducing inputs \u001b[0;0m | (3, 3) | | \n", " \u001b[1mlinear.variances \u001b[0;0m | (3,) | +ve | \n", " \u001b[1mGaussian_noise.variance\u001b[0;0m | 0.0392832125766 | +ve | \n" ] } ], "source": [ "# Show the model parameters after optimization\n", "print m" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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VbbTWekwjRXCvXQQnIbAmmSI4yQjWKDVYpim2CKwwDWlnR4dlWVhZqUGSDIii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cAAAg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Qv0vdplFCBDtnfmgc8fr6OtLpdLAexCCDMRpmQB2ser0e5BD1ChGkYRvFYhEbGxvBYr3pdDpY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JEM0bYgSTBv1LAerOjPYRm3yMUhAOMHfV7haKIWuj8LpADVUOH7PkpqCZZnYam2BMkff0Mm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QPp+PQCDAwMAA5qlTmKbJpUuX0HWdPXv2MD4+zub3vY9zzzyDaZElaBIsIxxGs3ofG7kc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\nhppQUMTXtOFi1u3CD8MsVFUd2VQrijKssNjpoCsJLPkzdiwL9vY2lLC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dCILgJ6DNLDFj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\nBEEQREX8f8vLXMDTM2aTAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot the posterior distribution of X\n", "a = m.X.plot()" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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zllZO4ekzT9lgb0ypP3Xuqanz1K0FceIE8AM/0Hts24mLL1ClcVlnKPmjlBE3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\n0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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# In order to compare the recovered X, we swapped the 2nd and 3rd dimension, \n", "# flipped the sign of the 2nd dimension, and rescale the values.\n", "# The figure shows the absolute difference between the recovered X and the original X\n", "Xcom = np.dot(m.X.mean.copy(),np.array([[1.,0.,0.],[0.,0.,1.],[0.,-1.,0.]]))\n", "Xcom = Xcom/np.abs(Xcom).max(axis=0)\n", "_ = plot(np.abs(Xcom-X))" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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aJh6+czZ+8d9ux01nVsDKt6BQKARqkycqY9HdNro60W/NazPUvy+RjmWje9yp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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot the distribution of the recovered X (only 1st and 2nd dimension)\n", "# As shown in the figure, it follows a spike and slab distribution\n", "_ = m.plot_latent()" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "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": "2.7.11" } }, "nbformat": 4, "nbformat_minor": 0 }