{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import scipy.stats as sps\n", "import matplotlib.pyplot as plt\n", "from scipy.special import logsumexp\n", "#%matplotlib qt5\n", "%matplotlib inline\n", "plt.rcParams.update({'figure.figsize': (10.0, 6.0), 'font.size': 18})" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "## Gaussian Mixture Model (GMM)\n", "* probability density finction\n", "$$\n", "\\large\n", "\\DeclareMathOperator{\\Norm}{\\mathcal{N}}\n", "\\DeclareMathOperator{\\Gam}{Gam}\n", "\\DeclareMathOperator{\\e}{exp}\n", "p(x|\\{\\mu_c\\}, \\{\\sigma_c^2\\}, \\{\\pi_c\\}) = \\sum_{c=1}^{C} \\Norm(x|\\mu_c, \\sigma^2_c) \\pi_c $$\n", "\n", "where\n", "* $\\{\\mu_c\\}$ is the set of $C$ means\n", "* $\\{\\sigma_c^2\\}$ is the set of $C$ variances\n", "* $\\{\\pi_c\\}$ is set of $C$ weights such that $\\sum_{c=1}^C \\pi_c = 1$\n", "\n", "and single variate Gasussian distribution\n", "\n", "$$\n", "\\large\n", "p(x \\mid \\mu, \\sigma^2) = \\Norm(x \\mid \\mu, \\sigma^2) = \\frac{1}{\\sqrt{2\\pi\\sigma^2}} \\e\\left\\{ \\frac{-(x - \\mu)^2}{2\\sigma^2} \\right\\}\n", "$$\n" ] }, { "cell_type": "code", "execution_count": 233, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot GMM pdf together with the individual components pdfs; return the GMM pdf line\n", "def plot_GMM(t, mus, sigmas, pis):\n", " p_xz = sps.norm.pdf(t[:,np.newaxis], mus, sigmas) * pis # all GMM components are evaluated at once\n", " px = np.sum(p_xz, axis=1)\n", " plt.plot(t, p_xz, ':')\n", " plt.plot(t, px, 'k')\n", " return px\n", "\n", "\n", "#Handcraft some GMM parameter \n", "mus = [-4.0, 0.0, 4.0, 5]\n", "sigmas = [1.0, 1.4, 1.2, 1]\n", "pis = [0.1, 0.4, 0.2, 0.3]\n", "\n", "t = np.linspace(-10,10,1000)\n", "true_GMM_pdf = plot_GMM(t, mus, sigmas, pis)\n", "\n", "# Generate N datapoints from this GMM\n", "N = 500\n", "Nc = sps.multinomial.rvs(N, pis) # Draw observation counts for each component from multinomial distribution\n", "x = sps.norm.rvs(np.repeat(mus, Nc), np.repeat(sigmas, Nc))\n", "np.random.shuffle(x)\n", "plt.plot(x, np.zeros_like(x), '+k');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## GMM - EM algorithm\n", "* E-step\n", "\n", "$$\n", "\\large\n", "\\DeclareMathOperator{\\Norm}{\\mathcal{N}}\n", "\\DeclareMathOperator{\\eeta}{\\boldsymbol{\\eta}}\n", "\\gamma_{nc}=P(z_n=c|x_n,\\eeta^{old})=\\frac{p(x_n|z_n=c,\\eeta^{old})P(z_n=c|\\eeta^{old})}{p(x_n|\\eeta^{old})}\n", "=\\frac{\\mathcal{N}(x_n|\\mu_c^{old}{\\sigma_c^2}^{old})\\pi_c^{old}}{\\sum_{k}\\mathcal{N}(x_n|\\mu_{k}^{old},{\\sigma_{k}^2}^{old})\\pi_{k}^{old}}\n", "$$\n", "\n", "* M-step\n", "\n", "$$\n", "\\large\n", "\\begin{align}\n", "\\mu_c^{new} & =\\frac{\\sum_n \\gamma_{nc}x_n}{\\sum_n \\gamma_{nc}}\\\\\n", "{\\sigma_c^2}^{new} & =\\frac{\\sum_n \\gamma_{nc}(x_n-\\mu_c^{new})^2}{\\sum_n \\gamma_{nc}}\\\\\n", "\\pi_c & =\\frac{\\sum_n \\gamma_{nc}}{N}\n", "\\end{align}\n", "$$" ] }, { "cell_type": "code", "execution_count": 237, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#Choose some initial parameters\n", "C = 5 # number of GMM components \n", "mus = x[:C] # we choose few first observations as the initial means\n", "sigmas = np.repeat(np.std(x), C) # sigma for all components is set to std of the the training data\n", "pis = np.ones(C)/C\n", "\n", "plt.clf()\n", "plt.plot(t, true_GMM_pdf, 'gray')\n", "plot_GMM(t, mus, sigmas, pis);\n", "log_p_X = []" ] }, { "cell_type": "code", "execution_count": 238, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "for _ in range(200):\n", " #E-step\n", " log_p_xz = sps.norm.logpdf(x[:,np.newaxis], mus, sigmas) + np.log(pis)\n", " log_p_x = logsumexp(log_p_xz, axis=1, keepdims=True)\n", " log_p_X.append(log_p_x.sum())\n", " #print(\"Training data log likelihood:\", log_p_x.sum())\n", "\n", " gammas = np.exp(log_p_xz - log_p_x)\n", " #M-step\n", " Nc = gammas.sum(axis=0)\n", " mus = x.dot(gammas) / Nc\n", " sigmas = np.sqrt((x**2).dot(gammas) / Nc - mus**2) # we use std, not variance!\n", " pis = Nc / Nc.sum()\n", " \n", "plot_GMM(t, mus, sigmas, pis)\n", "\n", "#plt.clf()\n", "plt.plot(t, true_GMM_pdf, 'gray')\n", "plot_GMM(t, mus, sigmas, pis);\n", "plt.plot(x, np.zeros_like(x), '+k');" ] }, { "cell_type": "code", "execution_count": 239, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[0.18689253 0.13405782 0.20502273 0.20297895 0.27104798] [ 4.3039673 -3.58518574 -0.32917272 1.1866124 5.10402991] [1.11521868 1.08337966 0.85662146 1.64062334 0.95108969]\n" ] }, { "data": { "image/png": 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\n", 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