{ "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": 362, "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": 363, "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": 364, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "for _ in range(100):\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": 366, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[0.28752397 0.1780999 0.22876369 0.12691745 0.17869498] [ 3.84714963 1.60331058 5.34560625 -2.77929296 -0.38303747] [0.98092823 1.54879003 0.79211292 1.72279011 0.94314886]\n" ] }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(log_p_X)\n", "print(pis, mus, sigmas)" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.9.13" } }, "nbformat": 4, "nbformat_minor": 2 }