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terasakisatoshi/matrix_sqrt.ipynb

Created October 18, 2021 08:55
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Gauss過程のやつで Cholesky factorization failed を回避する
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matrix_sqrt.ipynb
{
"cells": [
{
"cell_type": "markdown",
"id": "f08d233e",
"metadata": {},
"source": [
"# Gauss過程のやつで Cholesky factorization failed を回避する\n",
"\n",
"グラム行列のサイズが大きくなると MvNormal を使うと内部でコレスキー分解によって失敗することがある.\n",
"これは固有値を計算すると数値的な誤差によって微小な負の値を得てしまうからである.\n",
"そこでコレスキー分解を経由せず行列の平方根を計算することでその問題を回避する. このアイデアは\n",
"\n",
"https://yonesuke.github.io/posts/gram_eigen/\n",
"\n",
"から得ている."
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "2c7c7528",
"metadata": {
"ExecuteTime": {
"end_time": "2021-10-18T17:51:06.680000+09:00",
"start_time": "2021-10-18T08:51:05.895Z"
}
},
"outputs": [],
"source": [
"using Distributions\n",
"using LinearAlgebra\n",
"using StatsPlots"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "5322d976",
"metadata": {
"ExecuteTime": {
"end_time": "2021-10-18T17:51:07.700000+09:00",
"start_time": "2021-10-18T08:51:05.896Z"
}
},
"outputs": [
{
"data": {
"text/plain": [
"k (generic function with 1 method)"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"k(x1, x2) = (Δ = x1 - x2; exp(-dot(Δ, Δ)))"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "5eac518a",
"metadata": {
"ExecuteTime": {
"end_time": "2021-10-18T17:51:12.328000+09:00",
"start_time": "2021-10-18T08:51:05.898Z"
}
},
"outputs": [
{
"data": {
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" \n",
" \"/>\n",
"</svg>\n"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"x = range(-4, 4, length=500)\n",
"K = k.(x', x);\n",
"p = plot()\n",
"for _ in 1:5\n",
" y = sqrt(K) * randn(length(x));\n",
" plot!(p, x, y, label=:none)\n",
"end\n",
"p"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "bd0f98d7",
"metadata": {
"ExecuteTime": {
"end_time": "2021-10-18T17:51:40.075000+09:00",
"start_time": "2021-10-18T08:51:35.520Z"
}
},
"outputs": [
{
"data": {
"image/png": 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