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@tok41
Created August 5, 2021 09:27
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{
"cells": [
{
"cell_type": "markdown",
"id": "24292c2d-4ad2-4a34-a103-9ab629b19d7e",
"metadata": {},
"source": [
"JuliaでGibbs samplingする"
]
},
{
"cell_type": "markdown",
"id": "84de869f-634f-4f0a-982f-d7c099f584b0",
"metadata": {},
"source": [
"# 二次元ガウス分布"
]
},
{
"cell_type": "markdown",
"id": "29cb8cb5-a562-4b91-9368-706434a1f21c",
"metadata": {},
"source": [
"Gibbs sampling定番の練習課題である二次元ガウス分布からのサンプリング。"
]
},
{
"cell_type": "markdown",
"id": "2c94b4b9-b985-4cfd-8fef-e8206e206188",
"metadata": {},
"source": [
"## 二次元ガウス分布と条件付き分布\n",
"\n",
"二次元ガウス分布\n",
"\n",
"$$\n",
"\\mathbf{x} \\sim \\mathcal{N}\\left(\\mathbf{x} | \\mathbf{\\mu}, \\Sigma \\right)\n",
"$$\n",
"\n",
"ここで、$\\mathbf{x}=[x_1, x_2]^{\\top}$, $\\mathbf{\\mu}=[\\mu_1, \\mu_2]^{\\top}$となる平均ベクトル, $\\Sigma=\\left[ \\begin{array}{ll} \\sigma_{11} & \\sigma_{12} \\\\ \\sigma_{21} & \\sigma_{22} \\end{array} \\right]$となる共分散行列。\n",
"\n",
"条件付き分布は以下の通り(導出はPRMLなど参照)。\n",
"\n",
"$$\n",
"\\begin{align}\n",
"p\\left(x_{1} \\mid x_{2}\\right) &= \\mathscr{N} \\left(\\mu_{1}+\\sigma_{12} \\sigma_{22}^{-1}\\left(x_{2}-\\mu_{2}\\right), \\sigma_{11}-\\sigma_{12} \\sigma_{22}^{-1} \\sigma_{21}\\right) \\\\\n",
"p\\left(x_{2} \\mid x_{1}\\right) &= \\mathscr{N}\\left(\\mu_{2}+\\sigma_{21} \\sigma_{11}^{-1}\\left(x_{1}-\\mu_{1}\\right), \\sigma_{22}-\\sigma_{21} \\sigma_{11}^{-1} \\sigma_{12}\\right)\n",
"\\end{align}\n",
"$$\n"
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "acd1332b-9f93-428a-b8b9-45712c18a4aa",
"metadata": {},
"outputs": [],
"source": [
"using Distributions\n",
"using PyPlot"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "696a8a70-dc3a-465d-a582-147aad28047c",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"2-element Vector{Float64}:\n",
" 0.0\n",
" 0.0"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"mu = [0., 0.]\n",
"mu"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "7a3e384b-1c97-43c9-97c3-ec72b0554ec9",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"2×2 Matrix{Float64}:\n",
" 1.0 0.5\n",
" 0.5 1.0"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"s = [1. 0.5; 0.5 1.0]\n",
"s"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "b2c57960-186e-449b-ba90-82c92619c753",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(2, 1000)"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Distributions.jlのMvNormを利用\n",
"dist = MvNormal(mu, s)\n",
"zs_lib = rand(dist, 1000);\n",
"size(zs_lib)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "fc1707a1-db76-4662-bb48-1df75feaa383",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"gs_mvnorm (generic function with 1 method)"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"function gs_mvnorm(z_ini::Vector; n_sample=1000)\n",
" z_gs = Array{Float64}(undef, 2, 1)\n",
" z_gs[:,1] = deepcopy(z_ini)\n",
" z = z_ini\n",
" while size(z_gs)[2] < n_sample\n",
" mu1 = mu[1] + s[1, 2] * s[2, 2]^(-1) * (z[2] - mu[2])\n",
" var1 = s[1, 1] - s[1, 2] * s[2, 2]^(-1) * s[2, 1]\n",
" z[1] = rand(Normal(mu1, sqrt(var1)), 1)[1]\n",
" z_gs = cat(z_gs, z, dims=2)\n",
" \n",
" mu2 = mu[2] + s[2, 1] * s[1, 1]^(-1) * (z[1] - mu[1])\n",
" var2 = s[2, 2] - s[2, 1] * s[1, 1]^(-1) * s[1, 2]\n",
" z[2] = rand(Normal(mu1, sqrt(var1)), 1)[1]\n",
" z_gs = cat(z_gs, z, dims=2)\n",
" end\n",
" return z_gs\n",
"end"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "c7d66529-f534-424e-97d0-506630d0bbd5",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" 3.053388 seconds (1.73 M allocations: 106.765 MiB, 1.86% gc time, 99.01% compilation time)\n"
]
}
],
"source": [
"z_ini = [4., -3.];\n",
"@time z_gs = gs_mvnorm(z_ini);"
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "24ee451f-fa8a-491b-b6b0-854e5b522795",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" 0.029676 seconds (46.25 k allocations: 8.874 MiB)\n"
]
}
],
"source": [
"z_ini = [4., -3.];\n",
"@time z_gs = gs_mvnorm(z_ini);"
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "cfc635d5-8b34-45c5-b487-1a6d9b832ace",
"metadata": {},
"outputs": [
{
"data": {
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",
"text/plain": [
"Figure(PyObject <Figure size 500x500 with 1 Axes>)"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = figure(figsize=(5, 5));\n",
"ax = fig.subplots(1, 1);\n",
"\n",
"ax.scatter(zs_lib[1, :], zs_lib[2, :], color=\"blue\", alpha=0.3, label=\"Distributions.MvNormal\")\n",
"ax.plot(z_gs[1, :], z_gs[2, :], marker = (:d), color=\"red\", alpha=0.3, label=\"GibbsSampling\")\n",
"ax.set_xlim((-5, 5));\n",
"ax.set_ylim((-5, 5));\n",
"ax.legend();"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "807e7b64-4902-4319-8604-593e7bfc4c51",
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Julia 1.6.1",
"language": "julia",
"name": "julia-1.6"
},
"language_info": {
"file_extension": ".jl",
"mimetype": "application/julia",
"name": "julia",
"version": "1.6.1"
}
},
"nbformat": 4,
"nbformat_minor": 5
}
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