{"id":6328,"date":"2016-11-15T15:00:31","date_gmt":"2016-11-15T06:00:31","guid":{"rendered":"http:\/\/sitest.jp\/blog\/?p=6328"},"modified":"2016-12-06T20:04:49","modified_gmt":"2016-12-06T11:04:49","slug":"%e3%83%99%e3%82%a4%e3%82%ba%e6%8e%a8%e5%ae%9a%e3%81%a8%e3%81%af%ef%bc%9f%e3%83%a2%e3%83%b3%e3%83%86%e3%82%a3%e3%83%bb%e3%83%9b%e3%83%bc%e3%83%ab%e5%95%8f%e9%a1%8c%e3%82%92%e8%a7%a3%e3%81%84%e3%81%a6","status":"publish","type":"post","link":"https:\/\/sitest.jp\/blog\/?p=6328","title":{"rendered":"\u30d9\u30a4\u30ba\u63a8\u5b9a\u3068\u306f\uff1f\u30e2\u30f3\u30c6\u30a3\u30fb\u30db\u30fc\u30eb\u554f\u984c\u3092\u89e3\u3044\u3066\u307f\u3088\u3046\uff01"},"content":{"rendered":"<p><a href=\"http:\/\/sitest.jp\/blog\/?p=5995\" title=\"\u30e9\u30f3\u30d7\u306e\u9b54\u4eba\u300cAkinator\u300d\u3067\u3082\u4f7f\u308f\u308c\u3066\u3044\u308b\uff01\u30d9\u30a4\u30ba\u306e\u5b9a\u7406\u3068\u306f\uff1f\" target=\"_blank\">\u524d\u56de<\/a>\u306f\u30d9\u30a4\u30ba\u306e\u5b9a\u7406\u3092\u6761\u4ef6\u4ed8\u304d\u78ba\u7387\u304b\u3089\u8003\u3048\u3066\u307f\u307e\u3057\u305f\u3002<br \/>\n\u4eca\u56de\u306f\u30d9\u30a4\u30ba\u306e\u5b9a\u7406\u304c\u5143\u306b\u306a\u3063\u305f\u30d9\u30a4\u30ba\u7d71\u8a08\u5b66\u306e\u4ee3\u8868\u7684\u306a\u65b9\u6cd5\u3067\u3042\u308b\u300c\u30d9\u30a4\u30ba\u63a8\u5b9a\u300d\u3092\u3054\u7d39\u4ecb\u3057\u307e\u3059\u3002<\/p>\n<p><!--more--><\/p>\n<div class=\"frame_headding\">\n<h3 style=\"text-align: left;\">\u30d9\u30a4\u30ba\u63a8\u5b9a\u3068\u306f\uff1f<\/h3>\n<\/div>\n<blockquote><p>\n\u30d9\u30a4\u30ba\u63a8\u5b9a\uff08\u30d9\u30a4\u30ba\u3059\u3044\u3066\u3044\u3001\u82f1: Bayesian inference\uff09\u3068\u306f\u3001\u30d9\u30a4\u30ba\u78ba\u7387\u306e\u8003\u3048\u65b9\u306b\u57fa\u3065\u304d\u3001\u89b3\u6e2c\u4e8b\u8c61\uff08\u89b3\u6e2c\u3055\u308c\u305f\u4e8b\u5b9f\uff09\u304b\u3089\u3001\u63a8\u5b9a\u3057\u305f\u3044\u4e8b\u67c4\uff08\u305d\u308c\u306e\u8d77\u56e0\u3067\u3042\u308b\u539f\u56e0\u4e8b\u8c61\uff09\u3092\u3001\u78ba\u7387\u7684\u306a\u610f\u5473\u3067\u63a8\u8ad6\u3059\u308b\u3053\u3068\u3092\u6307\u3059\u3002\n<\/p><\/blockquote>\n<p><a href=\"https:\/\/ja.wikipedia.org\/wiki\/%E3%83%99%E3%82%A4%E3%82%BA%E6%8E%A8%E5%AE%9A\" title=\"\u30d9\u30a4\u30ba\u63a8\u5b9a\"\u3000rel=\"nofollow\" target=\"_blank\">Wikipedia:\u30d9\u30a4\u30ba\u63a8\u5b9a<\/a><\/p>\n<div class=\"frame_headding\">\n<h3 style=\"text-align: left\">\u4e8b\u524d\u78ba\u7387\u3068\u4e8b\u5f8c\u78ba\u7387<\/h3>\n<\/div>\n<p>\u30d9\u30a4\u30ba\u63a8\u5b9a\u306e\u8a71\u306e\u524d\u306b\u4e8b\u524d\u78ba\u7387\u3068\u4e8b\u5f8c\u78ba\u7387\u306b\u3064\u3044\u3066\u78ba\u8a8d\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<pre><code>\u4e8b\u524d\u78ba\u7387\u3068\u306f\uff1f\n\u3000\u30c7\u30fc\u30bf\u3092\u624b\u306b\u5165\u308c\u308b\u524d\u306b\u60f3\u5b9a\u3057\u3066\u3044\u305f\u78ba\u7387\n\n\u4e8b\u5f8c\u78ba\u7387\u3068\u306f\uff1f\n\u3000\u30c7\u30fc\u30bf\u3092\u7528\u3044\u3066\u4e8b\u524d\u78ba\u7387\u3092\u4fee\u6b63\u3057\u305f\u78ba\u7387\n<\/code><\/pre>\n<p>\u8a00\u8449\u306e\u3068\u304a\u308a\u3067\u3059\u306d\u3002<\/p>\n<div class=\"frame_headding\">\n<h3 style=\"text-align: left\">\u30d9\u30a4\u30ba\u66f4\u65b0<\/h3>\n<\/div>\n<pre><code>\u30fb\u4e8b\u524d\u78ba\u7387\u3092\u4fee\u6b63\u3057\u3066\u4e8b\u5f8c\u78ba\u7387\u306b\u3059\u308b\u6d41\u308c\n\u30fb\u4e8b\u524d\u78ba\u7387\u304b\u3089\u30c7\u30fc\u30bf\u3092\u7528\u3044\u3066\u5909\u5316\u3055\u305b\u308b\u3053\u3068\u3092\n\u3000\u300c\u30d9\u30a4\u30ba\u66f4\u65b0\u300d\u300c\u30d9\u30a4\u30b8\u30a2\u30f3\u30a2\u30c3\u30d7\u30c7\u30fc\u30c8\u300d\u3068\u547c\u3076\n<\/code><\/pre>\n<p>\u3000\u306a\u308b\u307b\u3069\uff01\u4e8b\u524d\u78ba\u7387A\u3068\u3044\u3046\u3082\u306e\u304c\u3042\u3063\u305f\u5834\u5408\u306b\u3001\u305d\u306e\u4e8b\u8c61\u306b\u65b0\u305f\u306a\u30c7\u30fc\u30bf\u3092\u3082\u3063\u3066\u304d\u3066\u4e8b\u524d\u78ba\u7387A\u2192\u4e8b\u5f8c\u78ba\u7387B\u306b\u3059\u308b\u884c\u70ba\u3092\u30d9\u30a4\u30ba\u66f4\u65b0\u3068\u547c\u3076\u305d\u3046\u3067\u3059\u3002<br \/>\n\u3053\u308c\u3082\u308f\u304b\u308a\u3084\u3059\u3044\u3067\u3059\u306d\u3002<\/p>\n<div class=\"frame_headding\">\n<h3 style=\"text-align: left\">\u30d9\u30a4\u30ba\u66f4\u65b0\u306e\u4f8b<\/h3>\n<\/div>\n<p>\u98f4\u3061\u3083\u3093\u30bd\u30fc\u30c0\u3068\u306f\u3061\u307f\u3064\u304c10\u500b\u305a\u3064\u3042\u308a\u3001\u7bb1A\u3068\u7bb1B\u306b\u9069\u5f53\u306b\u5165\u308c\u307e\u3057\u305f\u3002<br \/>\n\u3069\u3061\u3089\u304b\u4e00\u3064\u306e\u7bb1\u3092\u30e9\u30f3\u30c0\u30e0\u3067\u9078\u3073\u3001\u98f4\u3092\u53d6\u308a\u51fa\u3057\u307e\u3059\u3002<br \/>\n\u3053\u308c\u304c\u7bb1B\u304b\u3089\u53d6\u308a\u51fa\u3057\u305f\u3068\u3044\u3046\u78ba\u7387\u306f\u3069\u308c\u3050\u3089\u3044\u304b\u3002<\/p>\n<p>\u76f4\u611f\u3067\u3082\u300150%\u3060\u3068\u3044\u3046\u3053\u3068\u306f\u308f\u304b\u308a\u307e\u3059\u304c\u3001<br \/>\n\u3000\u7bb1A\u304b\u3089\u98f4\u3092\u53d6\u308a\u51fa\u3059\u78ba\u7387 = P(H1) = 1\/2<br \/>\n\u3000\u7bb1B\u304b\u3089\u98f4\u3092\u53d6\u308a\u51fa\u3059\u78ba\u7387 = P(H2) = 1\/2<br \/>\n\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\u6b21\u306b\u53d6\u308a\u51fa\u3057\u305f\u98f4\u306f\u30bd\u30fc\u30c0\u3067\u3042\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3057\u305f\u3002<br \/>\n\u7bb1\u306e\u4e2d\u8eab\u3092\u898b\u3066\u307f\u308b\u3068<br \/>\n\u3000\u7bb1A\u306b\u306f\u30bd\u30fc\u30c0\u30922\u500b\u306f\u3061\u307f\u3064\u30926\u500b<br \/>\n\u3000\u7bb1B\u306b\u306f\u30bd\u30fc\u30c0\u30928\u500b\u306f\u3061\u307f\u3064\u30924\u500b<br \/>\n\u3067\u3057\u305f\u3002<br \/>\n\u305d\u308c\u305e\u308c\u306e\u7bb1\u304b\u3089\u30bd\u30fc\u30c0\u5473\u304c\u53d6\u308a\u51fa\u3055\u308c\u308b\u4e8b\u8c61D\u306b\u5bfe\u3059\u308b\u78ba\u7387P(D|H1)\u30fbP(D|H2)\u306f<br \/>\n\u3000\u7bb1A\u304b\u3089\u30bd\u30fc\u30c0\u3092\u53d6\u308a\u51fa\u3059\u78ba\u7387\u306f P(D|H1) = 2\/8 = 1\/4<br \/>\n\u3000\u7bb1B\u304b\u3089\u30bd\u30fc\u30c0\u3092\u53d6\u308a\u51fa\u3059\u78ba\u7387\u306f P(D|H2) = 8\/12 = 2\/3<br \/>\n\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\u4ee5\u4e0a\u3088\u308a\u3001\u30bd\u30fc\u30c0\u306e\u98f4\u304c\u7bb1B\u304b\u3089\u53d6\u308a\u51fa\u3055\u308c\u305f\u78ba\u7387P(H2|D)\u306f<br \/>\n\u30d9\u30a4\u30ba\u306e\u5b9a\u7406\u3088\u308a<\/p>\n<pre><code>P(H2|D) = P(H2) * P(D|H2) \/ (P(H2) * P(D|H2) + P(H1) * P(D|H1))\n          = 1\/2 * 2\/3 \/ (1\/2 * 2\/3 + 1\/2 * 1\/4)\n          = 8\/11\n<\/code><\/pre>\n<p>\u3068\u306a\u308a\u307e\u3059\u3002<br \/>\n\u4ee5\u4e0a\u306e\u4f8b\u306e\u5834\u5408\u306b<br \/>\n &#8211; \u4e8b\u524d\u78ba\u7387: P(H2) = 1\/2<br \/>\n\u7bb1B\u304b\u3089\u30bd\u30fc\u30c0\u5473\u304c\u53d6\u308a\u51fa\u3055\u308c\u308b\u78ba\u7387\u304c 2\/3<br \/>\n &#8211; \u4e8b\u5f8c\u78ba\u7387\uff1aP(D|H2) = 8\/11<\/p>\n<p>\u3068\u306a\u308a\u307e\u3059\u3002 1\/2 \u2192 8\/11\u306b\u78ba\u7387\u304c\u66f4\u65b0\u3055\u308c\u307e\u3057\u305f\u306d\u3002<\/p>\n<div class=\"frame_headding\">\n<h3 style=\"text-align: left\">\u30d9\u30a4\u30ba\u306e\u5b9a\u7406<\/h3>\n<\/div>\n<p>\u4ee5\u524d\u306e\u8a18\u4e8b\u3067\u30d9\u30a4\u30ba\u5b9a\u7406<\/p>\n<pre><code>P(y|x) = P(y)P(x|y) \/ P(x)\n<\/code><\/pre>\n<p>\u3092\u90e8\u5206\u95a2\u6570\u304b\u3089\u5c0e\u304f\u65b9\u6cd5\u3092\u7d39\u4ecb\u3057\u307e\u3057\u305f\u3002<br \/>\n\u3053\u306e\u516c\u5f0f\u3092\u3061\u3087\u3063\u3068\u5909\u5f62\u3057\u3066<\/p>\n<pre><code>P(y|x) = P(y) * (P(x|y) \/ P(x))\n<\/code><\/pre>\n<p>\u3068\u66f8\u304d\u307e\u3059\u3002\u4e0a\u8a182\u5f0f\u306f\u540c\u3058\u3082\u306e\u3067\u3059\u3002<\/p>\n<p>\u3053\u306e\u5f0f\u306e<br \/>\nP(y)\u3068P(y|x)\u306f\u305d\u308c\u305e\u308c\u4e8b\u524d\u78ba\u7387\u3068\u4e8b\u5f8c\u78ba\u7387\u3067\u3059\u3002<br \/>\n\u3068\u3044\u3046\u3053\u3068\u306f\u3001\u30d9\u30a4\u30ba\u306e\u5b9a\u7406\u306f<\/p>\n<pre><code>\u4e8b\u5f8c\u78ba\u7387 = \u4e8b\u524d\u78ba\u7387 * \u4fee\u6b63\u9805\n<\/code><\/pre>\n<p>\u3068\u66f8\u304f\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<br \/>\n\u4e8b\u524d\u78ba\u7387\u304b\u3089\u4e8b\u5f8c\u78ba\u7387\u3092\u5c0e\u3044\u3066\u3044\u308b\u306e\u304c\u5f0f\u3068\u3057\u3066\u8868\u73fe\u3055\u308c\u3066\u3044\u307e\u3059\u306d\u3002<br \/>\n\u500b\u4eba\u7684\u306b\u306f\u3053\u3063\u3061\u306e\u307b\u3046\u304c\u7406\u89e3\u3057\u3084\u3059\u304f\u3001\u30b9\u30c3\u30ad\u30ea\u3057\u3066\u3044\u308b\u3088\u3046\u306b\u611f\u3058\u3066\u3044\u307e\u3059\u3002<\/p>\n<div class=\"frame_headding\">\n<h3 style=\"text-align: left\">\u307e\u3068\u3081<\/h3>\n<\/div>\n<p>\u4eca\u56de\u306f\u4e8b\u524d\u78ba\u7387\u3068\u4e8b\u5f8c\u78ba\u7387\u304b\u3089\u30d9\u30a4\u30ba\u306e\u5b9a\u7406\u3092\u7d39\u4ecb\u3057\u307e\u3057\u305f\u3002<br \/>\n\u4e8b\u524d\u78ba\u7387\u2192\u4e8b\u5f8c\u78ba\u7387\u3078\u306e\u5909\u66f4\u3092\u30d9\u30a4\u30ba\u66f4\u65b0\u3068\u547c\u3073\u307e\u3059\u3002\u30d9\u30a4\u30ba\u66f4\u65b0\u306f\u30d9\u30a4\u30ba\u7d71\u8a08\u5b66\u306b\u304a\u3044\u3066\u91cd\u8981\u306a\u8981\u7d20\u3067\u3059\u306e\u3067\u3001\u662f\u975e\u304a\u3055\u3048\u3066\u304a\u304d\u307e\u3057\u3087\u3046\u3002<\/p>\n<hr \/>\n<p><img loading=\"lazy\" src=\"https:\/\/storage.googleapis.com\/sitest-wp\/blog\/wp-content\/uploads\/2016\/11\/990438733b3f6c7d8fd86c19b6d4acc7-1024x721.png\" alt=\"\u30af\u30a4\u30b9\u3099\" width=\"604\" height=\"425\" class=\"alignleft size-large wp-image-6371\" \/><\/p>\n<div class=\"frame_headding\">\n<h3 style=\"text-align: left\">\u30e2\u30f3\u30c6\u30a3\u30fb\u30db\u30fc\u30eb\u554f\u984c<\/h3>\n<\/div>\n<p>\u3055\u3066\u3001\u3053\u3053\u307e\u3067\u51fa\u3066\u304d\u305f\u8981\u7d20\u3092\u8003\u3048\u306a\u304c\u3089\u30e2\u30f3\u30c6\u30a3\u30fb\u30db\u30fc\u30eb\u554f\u984c\u3092\u89e3\u3044\u3066\u307f\u307e\u3057\u3087\u3046\u3002<br \/>\n\u30e2\u30f3\u30c6\u30a3\u30fb\u30db\u30fc\u30eb\u554f\u984c\u306f\u30d9\u30a4\u30ba\u7d71\u8a08\u5b66\u306e\u4f8b\u3068\u3057\u3066\u3088\u304f\u4f7f\u308f\u308c\u307e\u3059\u3002<\/p>\n<div class=\"frame_headding\">\n<h3 style=\"text-align: left\">\u554f\u984c<\/h3>\n<\/div>\n<p>3\u3064\u306e\u6249\u306e\u3046\u30611\u3064\u3060\u3051\u306b\u8cde\u54c1\u304c\u5165\u3063\u3066\u3044\u3066\u3001\u56de\u7b54\u8005\u306f\u305d\u308c\u3092\u5f53\u3066\u305f\u3089\u8cde\u54c1\u304c\u3082\u3089\u3048\u308b\u3002\u305f\u3060\u3057\u6249\u306f\u6b21\u306e\u3088\u3046\u306b2\u6bb5\u968e\u3067\u9078\u3076\u3053\u3068\u304c\u3067\u304d\u308b\u3002<\/p>\n<p>1\uff1a\u307e\u305a\u56de\u7b54\u8005\u306f3\u3064\u306e\u6249\u304b\u3089\u3069\u308c\u304b1\u3064\u3092\u9078\u3076\u3002<br \/>\n  2\uff1a\u6b21\u306b\u3001\u7b54\u3092\u77e5\u3063\u3066\u3044\u308b\u53f8\u4f1a\u8005\u304c\u3001\u9078\u3093\u3067\u3044\u306a\u3044\u6249\u3067\u8cde\u54c1\u306e\u5165\u3063\u3066\u3044\u306a\u3044\u62491\u3064\u3092\u958b\u3051\u3066\u307f\u305b\u308b\u3002<br \/>\n  \u305f\u3060\u3057\u3001\u56de\u7b54\u8005\u304c\u5f53\u305f\u308a\u306e\u6249\u3092\u9078\u3093\u3067\u3044\u308b\u5834\u5408\u306f\u3001\u6b8b\u308a\u306e\u6249\u304b\u3089\u30e9\u30f3\u30c0\u30e0\u306b1\u3064\u3092\u9078\u3093\u3067\u958b\u3051\u308b\u3068\u3059\u308b\u3002\u3053\u306e\u3042\u3068\u56de\u7b54\u8005\u306f\u6249\u30921\u56de\u9078\u3073\u76f4\u3057\u3066\u3082\u3088\u3044\u3002<\/p>\n<p>2\u3067\u6249\u3092\u63db\u3048\u308b\u306e\u3068\u63db\u3048\u306a\u3044\u306e\u3068\u3001\u3069\u3061\u3089\u304c\u5f53\u305f\u308b\u78ba\u7387\u304c\u9ad8\u3044\u304b\uff1f<\/p>\n<p>3\u679a\u306e\u3068\u3073\u3089\u3092\u305d\u308c\u305e\u308cA\u3001B\u3001C\u3068\u3057\u3001\u56de\u7b54\u8005\u304cA\u3092\u9078\u3093\u3073\u30012\u3067\u53f8\u4f1a\u8005\u304cB\u306e\u6249\u3092\u958b\u3051\u308b\u3068\u3057\u307e\u3057\u3087\u3046\u3002\u305d\u306e\u5834\u5408\u306bC\u306e\u6249\u304c\u6b63\u89e3\u3067\u3042\u308b\u78ba\u7387\u3092\u6c42\u3081\u307e\u3059\u3002<\/p>\n<p>1\u306e\u6bb5\u968e\u3067A\u3001C\u304c\u305d\u308c\u305e\u308c\u6b63\u89e3\u3067\u3042\u308b\u78ba\u7387\u306f<\/p>\n<pre><code>P(A) = P(C) = 1\/3\n<\/code><\/pre>\n<p>\u3067\u3059\u3002(\u4e8b\u524d\u78ba\u7387)<br \/>\nA\u3001C\u304c\u6b63\u89e3\u3067\u3042\u308b\u5834\u5408\u306b\u53f8\u4f1a\u8005\u304cB\u3092\u958b\u3051\u308b\u78ba\u7387\u306f\u305d\u308c\u305e\u308c<\/p>\n<pre><code>P(B|A) = 1\/2\nP(B|C) = 1\n<\/code><\/pre>\n<p>\u3068\u306a\u308a\u307e\u3059\u3002<br \/>\nB\u306e\u6249\u3092\u53f8\u4f1a\u8005\u304c\u958b\u3051\u3066C\u306e\u6249\u304c\u6b63\u89e3\u3067\u3042\u308b\u78ba\u7387 P(C|B)\u306f<\/p>\n<pre><code>P(C|B) = P(C) * P(B|C) \/ (P(B|A) * P(A) + P(B|C) * P(C))\n =  1\/3 * 1 \/ (1\/2 * 1\/3 + 1 * 1\/3)\n = 2\/3\n<\/code><\/pre>\n<p>\u3068\u306a\u308a\u307e\u3059\u3002<br \/>\n\u3088\u3063\u3066\u3001\u6249\u3092\u5909\u66f4\u3057\u305f\u65b9\u304c\u78ba\u7387\u306f\u9ad8\u304f\u306a\u308b\u3068\u8a00\u3048\u307e\u3059\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u524d\u56de\u306f\u30d9\u30a4\u30ba\u306e\u5b9a\u7406\u3092\u6761\u4ef6\u4ed8\u304d\u78ba\u7387\u304b\u3089\u8003\u3048\u3066\u307f\u307e\u3057\u305f\u3002 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