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Variational-Bayes-univariate-gauss.ipynb
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{
"nbformat": 4,
"nbformat_minor": 0,
"metadata": {
"colab": {
"name": "Variational-Bayes-univariate-gauss.ipynb",
"provenance": [],
"authorship_tag": "ABX9TyOUBWL3MSerILOR3SxPZe+j",
"include_colab_link": true
},
"kernelspec": {
"name": "python3",
"display_name": "Python 3"
},
"accelerator": "GPU"
},
"cells": [
{
"cell_type": "markdown",
"metadata": {
"id": "view-in-github",
"colab_type": "text"
},
"source": [
"<a href=\"https://colab.research.google.com/gist/kiwamizamurai/005b12a9b372ab86ae094647f361b950/variational-bayes-univariate-gauss.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
]
},
{
"cell_type": "code",
"metadata": {
"id": "2q9cNrZ0TR4K",
"colab_type": "code",
"colab": {}
},
"source": [
"import numpy as np\n",
"import pandas as pd\n",
"import matplotlib.pyplot as plt\n",
"import seaborn as sns\n",
"from scipy import linalg as LA\n",
"from scipy import stats\n",
"from scipy.special import digamma\n",
"sns.set()\n",
"\n",
"plt.rcParams[\"figure.figsize\"] = (18, 9)\n",
"plt.rcParams[\"font.size\"] = 25"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "d0QOfovYUZHC",
"colab_type": "code",
"colab": {}
},
"source": [
"N = 20\n",
"sigma = 0.5\n",
"# tau is 4.0\n",
"mu = 0.2"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "h5PyFsj-Toq8",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 557
},
"outputId": "8257f481-cd3c-4369-a67b-7e203eb97984"
},
"source": [
"x = np.linspace(-1, 1)\n",
"y = stats.norm(mu, sigma).pdf(x)\n",
"plt.plot(x, y, label='PDF')\n",
"data_x = np.random.normal(mu, sigma, N)\n",
"data_y = np.zeros(N)\n",
"plt.scatter(data_x, data_y, label=\"data\")\n",
"plt.legend(frameon=False, loc=0, ncol=1, prop={'size': 30})"
],
"execution_count": 65,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x7f393dc374a8>"
]
},
"metadata": {
"tags": []
},
"execution_count": 65
},
{
"output_type": "display_data",
"data": {
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BBx6SJNXW1uirr75sReKTDRs2/LSFgiT5+wfod797QpJks9m0Zs2qNnnetkap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\n",
"text/plain": [
"<Figure size 1296x648 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "m8aayLkhTouE",
"colab_type": "code",
"colab": {}
},
"source": [
"def posterior(mu, tau):\n",
" # scale = 1.0 / lambda\n",
" return stats.norm(mu_N, np.sqrt(1/tau_N)).pdf(mu) * stats.gamma.pdf(tau, a_N, 0, 1/b_N)"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "cikPbFxeToxd",
"colab_type": "code",
"colab": {}
},
"source": [
"E_tau = 1.\n",
"tau_0 = 0.\n",
"mu_0 = 0.\n",
"a_0 = 0.\n",
"b_0 = 0.\n",
"kappa_0 = 0.\n",
"\n",
"mu_N = (kappa_0*mu_0 + np.sum(data_x))/(N + kappa_0)\n",
"a_N = a_0 + (N+1)/2.\n",
"\n",
"X, Y = np.meshgrid(np.linspace(-0.5, 0.5, 100), np.linspace(0.1, 8, 100))"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "H-fz1UxcdNRJ",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 908
},
"outputId": "498318cd-91f3-4004-b521-50353f983394"
},
"source": [
"for i in range(4):\n",
" print('[+] ITERATION: {}'.format(i))\n",
" tau_N = (kappa_0 + N)*E_tau\n",
" term_kappa = (kappa_0/2)*(mu_N**2 + 1/tau_N + mu_0**2)\n",
" term_sigma = 0.5*(np.sum(data_x**2) + N*(mu_N**2 + 1/tau_N)) - mu_N*np.sum(data_x)\n",
" b_N = b_0 + term_kappa - 2*mu_N*mu_0 + term_sigma\n",
" E_tau = a_N/b_N\n",
" print('tau_N: {0:.2f}'.format(tau_N))\n",
" print('b_N: {0:.2f}'.format(b_N))\n",
" print('E_tau: {0:.2f}'.format(E_tau))\n",
"\n",
" Z = np.vectorize(posterior)(X, Y)\n",
" plt.subplot(2, 2, i+1)\n",
" plt.contour(X, Y, Z)\n",
" plt.title(\"Iteration: {}\".format(i+1))\n",
" plt.xlabel(u\"$\\mu$\")\n",
" plt.ylabel(u\"$\\tau$\")\n",
" plt.tight_layout()"
],
"execution_count": 68,
"outputs": [
{
"output_type": "stream",
"text": [
"[+] ITERATION: 0\n",
"tau_N: 20.00\n",
"b_N: 2.41\n",
"E_tau: 4.35\n",
"[+] ITERATION: 1\n",
"tau_N: 86.98\n",
"b_N: 2.03\n",
"E_tau: 5.17\n",
"[+] ITERATION: 2\n",
"tau_N: 103.48\n",
"b_N: 2.01\n",
"E_tau: 5.22\n",
"[+] ITERATION: 3\n",
"tau_N: 104.42\n",
"b_N: 2.01\n",
"E_tau: 5.22\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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OQ3riFxGET4g/PiEBeAf74RPij3eQH1o3XavLUywWmmobaKyqp6GylsaqOhoqa6kprKAy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C2W8GAyB3fxWNbvsXnNZpwOJ/1H9POZDoP/pUkBuieeeIL58+ezZ88e7HZXOYimaZSU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1okXDiVjG/cRu+qrTTe/7/IiOJwBq8Peevd2F/4BrS1IB68B179B0RPwJAHIZBJ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\nVpa8AAAAAElFTkSuQmCC\n",
"text/plain": [
"<Figure size 1296x648 with 4 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "olq7crTyTaoQ",
"colab_type": "text"
},
"source": [
"## References\n",
"\n",
"- https://kaybrodersen.github.io/talks/Brodersen_2013_03_22.pdf\n",
"- https://qiita.com/kento1109/items/99a6bcbf18c1119d127c\n",
"- https://xyang35.github.io/2017/04/14/variational-lower-bound/\n",
"- https://www.colorado.edu/ASEN/asen5227_offline/slides/292-334.pdf\n",
"- http://www.math.kobe-u.ac.jp/HOME/higuchi/h18kogi/sect4.pdf\n",
"- https://www.iist.ac.in/sites/default/files/people/COVMain.pdf\n",
"- http://bjlkeng.github.io/posts/variational-bayes-and-the-mean-field-approximation/\n",
"- https://www.slideshare.net/takao-y/ss-28872465\n",
"- https://en.wikipedia.org/wiki/Normal_distribution}"
]
}
]
}
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