{"id":1495,"date":"2022-10-11T23:59:50","date_gmt":"2022-10-11T14:59:50","guid":{"rendered":"https:\/\/irieyukio.net\/blog\/?p=1495"},"modified":"2022-11-28T08:34:28","modified_gmt":"2022-11-27T23:34:28","slug":"49%e3%80%80%e8%83%bd%e5%8b%95%e7%9a%84%e6%8e%a8%e8%ab%96%e3%81%a8%e3%81%af%e3%81%a9%e3%81%ae%e3%82%88%e3%81%86%e3%81%aa%e3%82%82%e3%81%ae%e3%81%8b%e3%80%8020221011","status":"publish","type":"post","link":"https:\/\/irieyukio.net\/blog\/2022\/10\/11\/49%e3%80%80%e8%83%bd%e5%8b%95%e7%9a%84%e6%8e%a8%e8%ab%96%e3%81%a8%e3%81%af%e3%81%a9%e3%81%ae%e3%82%88%e3%81%86%e3%81%aa%e3%82%82%e3%81%ae%e3%81%8b%e3%80%8020221011\/","title":{"rendered":"49\u3000\u30d9\u30a4\u30ba\u306e\u5b9a\u7406\u306b\u3064\u3044\u3066\u3000(20221011)"},"content":{"rendered":"\n

\uff3b\u30ab\u30c6\u30b4\u30ea\u30fc\uff1a\u4eba\u306f\u306a\u305c\u554f\u3046\u306e\u304b\uff1f\uff3d<\/strong><\/p>\n\n\n\n

\u30d5\u30ea\u30b9\u30c8\u30f3\u306e\u300c\u80fd\u52d5\u63a8\u8ad6\u300d\u3068\u306f\u3001\u751f\u7269\u306e\u77e5\u899a\u3068\u884c\u52d5\uff08\u884c\u70ba\uff09\u306e\u4e21\u65b9\u3092\u540c\u3058\u539f\u7406\u3067\u7d71\u4e00\u7684\u306b\u8aac\u660e\u3059\u308b\u3082\u306e\u3067\u3059\u3002\u305d\u306e\u539f\u7406\u306f\u300c\u81ea\u7531\u30a8\u30cd\u30eb\u30ae\u30fc\u539f\u7406\u300d\u3068\u8a00\u308f\u308c\u3066\u3044\u307e\u3059\u3002\u3053\u308c\u306e\u53b3\u5bc6\u306a\u8aac\u660e\u306b\u306f\u30d9\u30a4\u30ba\u7d71\u8a08\u5b66\u306e\u30c6\u30af\u30cb\u30ab\u30eb\u306a\u8aac\u660e\u304c\u5fc5\u8981\u3067\u3059\u304c\u3001\u305d\u308c\u306b\u3088\u308b\u3068\u751f\u7269\u306f\u4e88\u6e2c\u6a5f\u68b0\u3067\u3042\u308a\u3001\u305d\u306e\u4e88\u6e2c\u306f\u3001\u30d9\u30a4\u30ba\u63a8\u8ad6\u306b\u3088\u3063\u3066\u8aac\u660e\u3067\u304d\u308b\u3001\u3068\u3044\u3046\u3053\u3068\u3067\u3059\u3002\u305f\u3060\u3001\u305d\u306e\u30c6\u30af\u30cb\u30ab\u30eb\u306a\u8aac\u660e\u306f\u5c11\u3057\u96e3\u3057\u3044\u306e\u3067\u3059\u3002<\/p>\n\n\n\n

\u305d\u3053\u3067\u3001\u3082\u3046\u5c11\u3057\u308f\u304b\u308a\u3084\u3059\u304f\u8aac\u660e\u3057\u3066\u304f\u308c\u3066\u3044\u308b\uff08\u540c\u3058\u304f\u6700\u8fd1\u7ffb\u8a33\u306e\u51fa\u305f\uff09\u30e4\u30b3\u30d6\u30fb\u30db\u30fc\u30f4\u30a3\u8457\u300e\u4e88\u6e2c\u3059\u308b\u5fc3\u300f\uff08\u539f\u84572013\uff09(\u4f50\u85e4\u4eae\u53f8\u76e3\u8a33\u3001\u592a\u7530\u967d\u3001\u6b21\u7530\u77ac\u3001\u6797\u7985\u4e4b\u3001\u4e09\u54c1\u7531\u7d00\u5b50\u8a33\u3001\u52c1\u8349\u66f8\u623f,2021\uff09\u3092\u3082\u3068\u306b\u78ba\u8a8d\u3057\u305f\u3044\u3068\u601d\u3044\u307e\u3059\u3002\u30db\u30fc\u30f4\u30a3\u306f\u54f2\u5b66\u8005\u3067\u3059\u304c\u3001\u795e\u7d4c\u79d1\u5b66\u8005\u3067\u3042\u308b\u30d5\u30ea\u30b9\u30c8\u30f3\u305f\u3061\u306e\u5f71\u97ff\u3092\u53d7\u3051\u3066\u3001\u300c\u8133\u306f\u6d17\u7df4\u3055\u308c\u305f\u4eee\u8aac\u30c6\u30b9\u30c8\u30e1\u30ab\u30cb\u30ba\u30e0\u3067\u3042\u308a\u3001\u5916\u754c\u304b\u3089\u53d7\u3051\u53d6\u308b\u611f\u899a\u5165\u529b\u306e\u4e88\u6e2c\u8aa4\u5dee\u306e\u6700\u5c0f\u5316\u306b\u5e38\u306b\u53d6\u308a\u7d44\u3093\u3067\u3044\u308b\u300d(\u540c\u8a3316)\u3068\u8003\u3048\u307e\u3059\u3002\u30d5\u30ea\u30b9\u30c8\u30f3\u306b\u306a\u3089\u3063\u3066\u30db\u30fc\u30f4\u30a3\u3082\u307e\u305f\u3001\u3053\u306e\u30e1\u30ab\u30cb\u30ba\u30e0\u306b\u3088\u3063\u3066\u77e5\u899a\u3001\u884c\u70ba\u3001\u305d\u306e\u4ed6\u3092\u8aac\u660e\u3057\u307e\u3059\u3002<\/p>\n\n\n\n

\u3053\u306e\u30e1\u30ab\u30cb\u30ba\u30e0\u3092\u8aac\u660e\u3059\u308b\u305f\u3081\u306b\u3001\u307e\u305a\u30d9\u30a4\u30ba\u63a8\u8ad6\u3092\u8aac\u660e\u3057\u305f\u3044\u3068\u601d\u3044\u307e\u3059\u3002\u30d9\u30a4\u30ba\u63a8\u8ad6\u3068\u3044\u3046\u306e\u306f\u3001\u30d9\u30a4\u30ba\u306e\u5b9a\u7406\u306b\u3064\u3044\u3066\u306e\u89e3\u91c8\u306e\u4e00\u3064\u3060\u3068\u3044\u3048\u308b\u3082\u306e\u306a\u306e\u3067\u3001\u307e\u305a\u30d9\u30a4\u30ba\u306e\u5b9a\u7406\u3092\u8aac\u660e\u3057\u307e\u3059\u3002<\/p>\n\n\n\n

\uff1c\u30d9\u30a4\u30ba\u306e\u5b9a\u7406\u3068\u305d\u306e\u8a3c\u660e\uff1e<\/p>\n\n\n\n

\u5b9a\u7fa9\uff11\uff1aP(x)\u306f\u3001\u4e0e\u3048\u3089\u308c\u305f\u6761\u4ef6\u306a\u3057\u306b\u4e8b\u8c61\uff58\u304c\u751f\u3058\u308b\u78ba\u7387\u3092\u8868\u3059\u3002\u300c\u5468\u8fba\u78ba\u7387\uff08marginal probability\uff09\u300d\u3084\u300c\u4e8b\u524d\u78ba\u7387(prior probability)\u300d\u3068\u547c\u3070\u308c\u3066\u3044\u308b\u3002<\/p>\n\n\n\n

\u5b9a\u7fa9\uff12\uff1aP(x,y)\u306f\u3001\u4e8b\u8c61\uff58\u3068\uff59\u306e\u4e21\u65b9\u304c\u751f\u3058\u308b\u78ba\u7387\u3092\u8868\u3059\u3002<\/p>\n\n\n\n

\u5b9a\u7fa9\uff13\uff1aP(x|y)\u306f\u3001\uff59\u304c\u771f\u3067\u3042\u308b\u3068\u304d\u4e8b\u8c61\uff58\u304c\u767a\u751f\u3059\u308b\u78ba\u7387\u3092\u8868\u3059\u3002\u3053\u308c\u306f\u300c\u6761\u4ef6\u4ed8\u304d\u78ba\u7387(conditional probability)\u300d\u3068\u547c\u3070\u308c\u3066\u3044\u308b\u3002\uff59\u304c\u4e0e\u3048\u3089\u308c\u305f\u6642\u306e\u3001\uff58\u306e\u300c\u4e8b\u5f8c\u78ba\u7387(posterior probability)\u300d\u3068\u3082\u3044\u3046\u3002\uff08P(y|x)\u3082\u307e\u305f\u6761\u4ef6\u4ed8\u78ba\u7387\u3067\u3042\u308a\u3001\uff58\u304c\u771f\u3067\u3042\u308b\u5834\u5408\u306b\uff22\u304c\u767a\u751f\u3059\u308b\u78ba\u7387\u3067\u3042\u308b\u3002\u307e\u305fP(y|x)\uff1dL\uff08x|y\uff09\u3067\u3042\u308b\u3053\u3068\u304b\u3089\u3001\u56fa\u5b9a\u3055\u308c\u305f\uff59\u306b\u5bfe\u3059\u308b\uff58\u306e\u5c24\u5ea6\u3068\u3082\u89e3\u91c8\u3067\u304d\u308b\uff09<\/p>\n\n\n\n

\u30d9\u30a4\u30ba\u306e\u5b9a\u7406\uff1aP(x|y)\uff1dP(y|x)P(x)\uff0fP(y<\/p>\n\n\n\n

\u30d9\u30a4\u30ba\u306e\u5b9a\u7406\u306e\u8a3c\u660e\uff1a\uff08\u6700\u521d\u306b\uff55\uff50\u3057\u305f\u3068\u304d\u306b\u3001\u4ee5\u4e0b\u306e(1)(2)(4)\u306e\u5f0f\u304c\u9593\u9055\u3063\u3066\u3044\u305f\u306e\u3067\u8a02\u6b63\u3057\u307e\u3057\u305f\u300220221128\u8a02\u6b63\uff09<\/p>\n\n\n\n

(1) P(x,y)\uff1dP(x|y)P(y)\u3000\u3000\u3000\uff08\u5b9a\u7fa9\uff11\uff0c\uff12\uff0c\uff13\uff0c\u3088\u308a\uff09<\/p>\n\n\n\n

\uff08P(x|y\uff09\u306f\u3001\uff59\u304c\u8d77\u304d\u305f\u6642\u306b\uff58\u304c\u8d77\u304d\u308b\u78ba\u7387\u3067\u3059\u3002\u3053\u308c\u3092\u4eee\u306b30%\u3068\u3057\u3001\uff59\u304c\u8d77\u304d\u308b\u78ba\u7387P(y)\u3092\u4eee\u306b40%\u3068\u3059\u308b\u3068\u3001\uff58\u3068\uff59\u304c\u540c\u6642\u306b\u8d77\u304d\u308b\u78ba\u7387\u306f\u3001P(y)\uff1d40%\u306e\u4e2d\u306e\u3055\u3089\u306bP(x|y)=30%\u3067\u3042\u308a\u300112%\u3068\u306a\u308a\u307e\u3059\u3002\uff09<\/p>\n\n\n\n

(2)\uff30(y,x)\uff1dP(y|x)P(x)\u3000\u3000\u3000\uff08(1)\u306ex\u306b\uff59\u3092\u3001\uff59\u306b\uff58\u4ee3\u5165\uff09<\/p>\n\n\n\n

(3)\uff30(x,y)\uff1dP(y,x)\u3000\u3000\u3000\u3000\u3000\u3000(\u5b9a\u7fa9\uff12\u3088\u308a)<\/p>\n\n\n\n

(4) P(x|y)P(y)\uff1dP(y|x)P(x)\u3000\uff08(1)(2)(3)\u3088\u308a\uff09<\/p>\n\n\n\n

(5) P(x|y)\uff1dP(y|x)P(x)\uff0fP(y)\u3000\u3000((4)\u3088\u308a)<\/p>\n\n\n\n

\u6b21\u306b\u30d9\u30a4\u30ba\u63a8\u8ad6\u3092\u8aac\u660e\u3057\u305f\u3044\u3068\u601d\u3044\u307e\u3059\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"

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