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SDE.ipynb
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Juliaで学ぶ確率微分方程式\n",
"\n",
"Julia言語の疑似乱数には[dSFMT](http://www.math.sci.hiroshima-u.ac.jp/m-mat/MT/SFMT/#dSFMT)が採用されており, 特別な準備をせずに良質な疑似乱数を用いて計算を行うことができるため, 確率微分方程式（Stochastic Differential Equation, SDE）との相性が極めて良い. この記事では, 確率過程の概念, Eular-Maruyama法による種々の確率微分方程式の数値解法について, Julia言語での実装例を交えて解説する. 得られた数値解はPlots.jlを用いて可視化し, Fokker-Planck方程式の解析解と比較する."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## パッケージ\n",
"\n",
"可視化にはPlots.jlを用いる. Plots.jlの入門的内容は[こちらのノート](https://gist.github.com/ohno/78d55921c3f88b50a7fb1835be132bcd)を参照されたい. `plot()`を使用するためには, Juliaの[パッケージモード](https://qiita.com/skiing_LAL10/items/0c0132a34629fbc8a91f)で`add Plots`を実行し, 事前にPlots.jlをインストールしておく必要がある. ノート上では`using Plots`を宣言する. また, `using Printf`も宣言するが, 標準ライブラリであるためインストールは不要である."
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Julia Version 1.6.2\n",
"Commit 1b93d53fc4 (2021-07-14 15:36 UTC)\n",
"Platform Info:\n",
" OS: Windows (x86_64-w64-mingw32)\n",
" CPU: Intel(R) Core(TM) i7-4650U CPU @ 1.70GHz\n",
" WORD_SIZE: 64\n",
" LIBM: libopenlibm\n",
" LLVM: libLLVM-11.0.1 (ORCJIT, haswell)\n"
]
}
],
"source": [
"versioninfo()\n",
"# using Pkg\n",
"# Pkg.add(\"Plots\")\n",
"using Plots\n",
"using Printf"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 確率過程\n",
"\n",
"**確率過程**（stochastic process）とは, 時間に依存して変化する**確率変数**（stochastic variable）のことである. 時間が$t=1,2,3,4,\\cdots$のように離散的な値をとる確率過程を**離散確率過程**（discrete stochastic process）といい, 連続的な値をとる確率過程を**連続確率過程**（containuous stochastic process）という.\n",
"\n",
"いい加減な定義ではあるものの, 確率変数が$X:\\Omega\\rightarrow\\mathbb{R^n}$であり, 確率過程が$X:\\Omega\\times T\\rightarrow\\mathbb{R^n}$であるから, 概ね正しいと思われる.\n",
"\n",
"このノートでは, 離散確率過程の例としてランダムウォークモデルを, 連続確率過程の例としてWiener過程(数学ではBrown運動と呼ぶことがある), ドラフト項のあるWiener過程, Ornstein–Uhlenbeck過程などのを取り上げる. これらの連続確率過程は**確率微分方程式**（Stochastic Differential Equation, SDE）の解でもある."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### ランダムウォークモデル\n",
"\n",
"よく勘違いされるが, ランダムウォークモデルとWiener過程(数学ではBrown運動と呼ぶことがある)は別のモデルであり, 前者は離散確率過程で後者は連続確率過程である. ここでは, 離散確率過程の例としてランダムウォークモデルを取り上げる. \n",
"\n",
"先に補足しておくと, ランダムウォークモデルの連続極限として拡散方程式を導出できる（付録参照）. Wiener過程もその確率密度関数の時間発展が拡散方程式(Fokker-Planck方程式の特殊化)で記述されることから, これらの対応関係を知っておくことは学習の役に立つと思われる.\n",
"\n",
"コインを投げて表なら$R_i=+1$, 裏なら$R_i=-1$を得点とする. コインを$i$回目に投げたときの合計得点を$X_i=\\sum_{j=1}^{i}R_j$とする. $i=1$のとき, $X_i=+1,-1$のどちらかだが, $i=2$の時は$X_i=+2,0,-2$のどれかの値を取りうる. つまり, 確率分布が時間$i$に依存する. なお, $R_i$の確率分布は時間に依らない.\n",
"\n",
"以下に, 横軸を投げた回数$i$とし, 縦軸をそれぞれ得点$R_i$と合計得点数$X_i$としたグラフを描写した."
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"scrolled": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"R = [-1, 1, -1, 1, -1, 1, 1, 1, -1, 1, 1, -1, 1, -1, -1, 1, -1, 1, -1, 1, 1, 1, 1, 1, 1, -1, 1, -1, 1, -1]\n",
"X = [-1, 0, -1, 0, -1, 0, 1, 2, 1, 2, 3, 2, 3, 2, 1, 2, 1, 2, 1, 2, 3, 4, 5, 6, 7, 6, 7, 6, 7, 6]\n"
]
},
{
"data": {
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"
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"step = 30\n",
"\n",
"R = Int.((floor.(rand(step)*2) .- 0.5)*2)\n",
"X = zeros(Int64, step)\n",
"\n",
"X[1] = R[1]\n",
"for i in 2:step\n",
" X[i] = X[i-1] + R[i]\n",
"end\n",
"\n",
"println(\"R = \", R)\n",
"println(\"X = \", X)\n",
"\n",
"plot(\n",
" plot(R, xlabel=\"\\$i\\$\", ylabel=\"\\$R_i\\$\", label=\"\"),\n",
" plot(X, xlabel=\"\\$i\\$\", ylabel=\"\\$X_i\\$\", label=\"\"),\n",
" size=(600, 300),\n",
" fmt=:png\n",
")\n",
"\n",
"savefig(\"randomwalk.png\")\n",
"plot!()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"また, 500人でランダムウォーク大会を行った場合のグラフと, それぞれの$i$について人数を数えたヒストグラムを示した. 十分に試行回数が増えればガウス分布に近づくはずである."
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"step = 30\n",
"member = 500\n",
"\n",
"R = (floor.(rand(step, member)*2) .- 0.5)*2\n",
"X = zeros(step, member)\n",
"\n",
"X[1,:] = R[1,:]\n",
"for i in 2:step\n",
" X[i,:] = X[i-1,:] + R[i,:]\n",
"end\n",
"\n",
"plt1 = plot(R, alpha=0.2, label=\"\", xlabel=\"\\$i\\$\", ylabel=\"\\$R_i\\$\", legend=:topleft) \n",
"plot!(plt1, 1:step, i->1, color=:red, label=\"Max \") \n",
"plot!(plt1, 1:step, i->-1, color=:blue, label=\"Min\")\n",
"\n",
"plt2 = plot(X, alpha=0.2, label=\"\", xlabel=\"\\$i\\$\", ylabel=\"\\$X_i\\$\", legend=:topleft) \n",
"plot!(plt2, 1:step, i->i, color=:red, label=\"Max \") \n",
"plot!(plt2, 1:step, i->-i, color=:blue, label=\"Min\")\n",
"\n",
"plot(plt1, plt2, size=(600, 300), fmt=:png)\n",
"savefig(\"randomwalks.png\")\n",
"plot!()"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"scrolled": false
},
"outputs": [
{
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