{"id":366,"date":"2018-05-30T12:35:29","date_gmt":"2018-05-30T03:35:29","guid":{"rendered":"https:\/\/mieruca-ai.com\/ai\/?p=366"},"modified":"2019-08-29T09:48:39","modified_gmt":"2019-08-29T00:48:39","slug":"markov_model_hmm","status":"publish","type":"post","link":"https:\/\/mieruca-ai.com\/ai\/markov_model_hmm\/","title":{"rendered":"\u3010\u6280\u8853\u89e3\u8aac\u3011\u30de\u30eb\u30b3\u30d5\u30e2\u30c7\u30eb\u3068\u96a0\u308c\u30de\u30eb\u30b3\u30d5\u30e2\u30c7\u30eb"},"content":{"rendered":"<p style=\"text-align: right;\">\n\u57f7\u7b46\uff1a\u91d1\u5b50\u51b4\n<\/p>\n<p>\n\u4eca\u56de\u306f<b><span style=\"color: #ff0000;\">\u30de\u30eb\u30b3\u30d5\u30e2\u30c7\u30eb<\/span><\/b>\u3068\uff0c<b><span style=\"color: #ff0000;\">\u30de\u30eb\u30b3\u30d5\u30e2\u30c7\u30eb\u3092\u62e1\u5f35\u3057\u305f\u96a0\u308c\u30de\u30eb\u30b3\u30d5\u30e2\u30c7\u30eb<\/span><\/b>\u3092\u984c\u6750\u306b\uff0c\u305d\u308c\u305e\u308c\u306e\u30e2\u30c7\u30eb\u306e\u89e3\u8aac\u30682\u3064\u306e\u30e2\u30c7\u30eb\u306e\u9055\u3044\u306b\u3064\u3044\u3066\u89e3\u8aac\u3059\u308b\uff0e<br \/>\n\u307e\u305a\u306f<b>\u30de\u30eb\u30b3\u30d5\u30e2\u30c7\u30eb<\/b>\u306b\u3064\u3044\u3066\u89e3\u8aac\u3057\u3088\u3046\uff0e\n<\/p>\n<p><!--more--><\/p>\n<h3>\u76ee\u6b21<\/h3>\n<p>\n<a href=\"#toc_2\">\u30de\u30eb\u30b3\u30d5\u904e\u7a0b\u3068\u306f<\/a><br \/>\n<a href=\"#toc_3\">\u30de\u30eb\u30b3\u30d5\u904e\u7a0b\u306e\u5206\u985e\u3068\u30de\u30eb\u30b3\u30d5\u9023\u9396\u306b\u3064\u3044\u3066<\/a><br \/>\n<a href=\"#toc_4\">\u96a0\u308c\u30de\u30eb\u30b3\u30d5\u30e2\u30c7\u30eb\u3068\u306f<\/a><br \/>\n<a href=\"#toc_5\">\u30de\u30eb\u30b3\u30d5\u30e2\u30c7\u30eb\u3068\u96a0\u308c\u30de\u30eb\u30b3\u30d5\u30e2\u30c7\u30eb\u306e\u9055\u3044(\u5fdc\u7528\u4f8b)<\/a><br \/>\n<a href=\"#toc_6\">\u53c2\u8003<\/a>\n<\/p>\n<h2 id=\"toc_2\">\u30de\u30eb\u30b3\u30d5\u904e\u7a0b\u3068\u306f<\/h2>\n<p>\n\u30de\u30eb\u30b3\u30d5\u30e2\u30c7\u30eb\u3092\u8aac\u660e\u3059\u308b\u3068\u8a00\u3063\u3066\u304a\u304d\u306a\u304c\u3089\uff0c\u898b\u51fa\u3057\u304c<b>\u30de\u30eb\u30b3\u30d5\u904e\u7a0b<\/b>\u3068\u306a\u3063\u3066\u3044\u308b\u3053\u3068\u306b\u7591\u554f\u3092\u62b1\u304f\u4eba\u3082\u3044\u308b\u3060\u308d\u3046\uff0e\u4e00\u822c\u7684\u306b<b>\u30de\u30eb\u30b3\u30d5\u30e2\u30c7\u30eb<\/b>\u3068\u3044\u3063\u305f\u5834\u5408\uff0c<b><span style=\"color: #ff0000;\">\u30de\u30eb\u30b3\u30d5\u904e\u7a0b<\/span><\/b>\u3092\u6307\u3059\uff0e\u305d\u308c\u3067\u306f\uff0c\u30de\u30eb\u30b3\u30d5\u30e2\u30c7\u30eb\u6539\u3081\uff0c<b>\u30de\u30eb\u30b3\u30d5\u904e\u7a0b<\/b>\u306e\u6982\u8981\u3092\u78ba\u8a8d\u3057\u3088\u3046\uff0e\n<\/p>\n<h3 id=\"mtoc_1\">\u30de\u30eb\u30b3\u30d5\u904e\u7a0b\u306e\u6982\u8981<\/h3>\n<p>\n<b>&#8220;\u30de\u30eb\u30b3\u30d5\u904e\u7a0b\uff08\u30de\u30eb\u30b3\u30d5\u304b\u3066\u3044\uff09\u3068\u306f\u3001\u30de\u30eb\u30b3\u30d5\u6027\u3092\u3082\u3064\u78ba\u7387\u904e\u7a0b\u306e\u3053\u3068\u3092\u3044\u3046\u3002\u3059\u306a\u308f\u3061\u3001\u672a\u6765\u306e\u6319\u52d5\u304c\u73fe\u5728\u306e\u5024\u3060\u3051\u3067\u6c7a\u5b9a\u3055\u308c\u3001\u904e\u53bb\u306e\u6319\u52d5\u3068\u7121\u95a2\u4fc2\u3067\u3042\u308b\u3068\u3044\u3046\u6027\u8cea\u3092\u6301\u3064\u78ba\u7387\u904e\u7a0b\u3067\u3042\u308b\u3002&#8221;<\/b> &#8211; <a href=\"https:\/\/ja.wikipedia.org\/wiki\/%E3%83%9E%E3%83%AB%E3%82%B3%E3%83%95%E9%81%8E%E7%A8%8B\">\u30de\u30eb\u30b3\u30d5\u904e\u7a0b(wikipedia)<\/a>\n<\/p>\n<p>\n\u4e0a\u8a18\u306e\u6982\u8981\u306b\u3042\u308b<b>\u78ba\u7387\u904e\u7a0b<\/b>\u3068<b>\u30de\u30eb\u30b3\u30d5\u6027<\/b>\u306b\u3064\u3044\u3066\u306f\uff0c\u5b9a\u7fa9\u3092\u78ba\u8a8d\u3059\u308b\u5fc5\u8981\u304c\u3042\u308b\u3060\u308d\u3046\uff0e\u521d\u3081\u306b<b>\u78ba\u7387\u904e\u7a0b<\/b>\u306b\u3064\u3044\u3066\u78ba\u8a8d\u3059\u308b\uff0e\n<\/p>\n<h3>\u78ba\u7387\u904e\u7a0b\u3068\u306f<\/h3>\n<p>\n\u78ba\u7387\u904e\u7a0b\u3068\u306f\u4f55\u3092\u6307\u3059\u306e\u3060\u308d\u3046\u304b\uff0e\u307e\u305a\u306fwikipedia\u3092\u78ba\u8a8d\u3057\u3088\u3046\uff0e\n<\/p>\n<p>\n<b>&#8220;\u78ba\u7387\u8ad6\u306b\u304a\u3044\u3066\u3001\u78ba\u7387\u904e\u7a0b\uff08\u304b\u304f\u308a\u3064\u304b\u3066\u3044\u3001\u82f1\u8a9e: stochastic process\uff09\u306f\u3001\u6642\u9593\u3068\u3068\u3082\u306b\u5909\u5316\u3059\u308b\u78ba\u7387\u5909\u6570\u306e\u3053\u3068\u3067\u3042\u308b\u3002 \u682a\u4fa1\u3084\u70ba\u66ff\u306e\u5909\u52d5\u3001\u30d6\u30e9\u30a6\u30f3\u904b\u52d5\u306a\u3069\u306e\u7c92\u5b50\u306e\u30e9\u30f3\u30c0\u30e0\u306a\u904b\u52d5\u3092\u6570\u5b66\u7684\u306b\u8a18\u8ff0\u3059\u308b\u6a21\u578b\uff08\u30e2\u30c7\u30eb\uff09\u3068\u3057\u3066\u5229\u7528\u3057\u3066\u3044\u308b\u3002\u4e0d\u898f\u5247\u904e\u7a0b\uff08\u82f1\u8a9e: random process\uff09\u3068\u3082\u8a00\u3046\u3002&#8221;<\/b> &#8211; <a href=\"https:\/\/ja.wikipedia.org\/wiki\/%E7%A2%BA%E7%8E%87%E9%81%8E%E7%A8%8B\">\u78ba\u7387\u904e\u7a0b(wikipedia)<\/a>\n<\/p>\n<p>\nwikipedia\u306e\u8a00\u8449\u3092\u501f\u308a\u308c\u3070\uff0c<b>\u78ba\u7387\u904e\u7a0b\u3068\u306f<span style=\"color: #ff0000;\">\u6642\u9593\u3068\u5171\u306b\u5909\u5316\u3059\u308b\u78ba\u7387\u5909\u6570<\/b>\u3092\u6307\u3059\u3089\u3057\u3044\uff0e\u3067\u306f<b>\u78ba\u7387\u5909\u6570<\/b>\u3068\u306f\u4f55\u306a\u306e\u304b\uff0e\n<\/p>\n<p>\nwikipedia\u306b\u3088\u308b\u3068\uff0c<b>\u78ba\u7387\u5909\u6570\u3068\u306f<span style=\"color: #ff0000;\">\u30e9\u30f3\u30c0\u30e0\u306a\u5b9f\u9a13\u306b\u3088\u308a\u5f97\u3089\u308c\u5f97\u308b\u5168\u3066\u306e\u7d50\u679c\u3092\u6307\u3059\u5909\u6570<\/span><\/b>\u3068\u306e\u8a18\u8ff0\u304c\u3055\u308c\u3066\u3044\u305f\uff0e\u79c1\u305f\u3061\u304c\u3088\u304f\u4f7f\u3046<b>\u78ba\u7387\u306f\u4e00\u7fa9\u7684\u306b\u5024\u304c\u6c7a\u307e\u308b<\/b>\u306e\u3068\u306f\u9055\u3044\uff0c<b>\u78ba\u7387\u5909\u6570\u306f\u78ba\u7387\u306b\u5f93\u3063\u3066\u5b9a\u7fa9\u57df\u5185\u306e\u69d8\u3005\u306a\u5024\u3092\u53d6\u308b\u3053\u3068\u304c\u3067\u304d\u308b<\/b>\uff0e\u7c21\u5358\u306b\u8a00\u3044\u76f4\u3059\u3068\uff0c<b>\u78ba\u7387\u5909\u6570\u306f\u78ba\u7387\u3092\u6c7a\u3081\u308b\u3068\u304d\u306b\u5229\u7528\u3059\u308b\u6570<\/b>\u3067\u3042\u308b\uff0e<br \/>\n\u4f8b\u3092\u6319\u3052\u3066\u78ba\u7387\u5909\u6570\u3092\u7406\u89e3\u3057\u3088\u3046\uff0e\n<\/p>\n<p>\u78ba\u7387\u5909\u6570\u306e\u4f8b\u3068\u3057\u3066\u3088\u304f\u4f7f\u308f\u308c\u308b\u306e\u306f<b>\u30b5\u30a4\u30b3\u30ed<\/b>\u3067\u3042\u308b\uff0e\u4eca\u56de\u306f\uff0c1\u304b\u30896\u306e\u76ee\u304c\u3042\u308b6\u9762\u4f53\u306e\u30b5\u30a4\u30b3\u30ed\u3092\u8003\u3048\u308b\uff0e\u3053\u306e\u6642\uff0c\u51fa\u76ee\u306e\u53d6\u308a\u3046\u308b\u5024\uff0c\u3064\u307e\u308a\u78ba\u7387\u5909\u6570X\u306fX={1,2,3,4,5,6}\u3068\u8868\u3055\u308c\u308b\uff0e\u4ed6\u306b\u3082\u30b3\u30a4\u30f3\u30c8\u30b9\u306e\u4f8b\u3092\u8003\u3048\u3066\u307f\u308b\u3068\uff0c\u30b3\u30a4\u30f3\u30c8\u30b9\u306e\u7d50\u679c\u306f\u300c\u8868\u300d\u300c\u88cf\u300d\u306e2\u629e\u306e\u305f\u3081\uff0c\u300c\u8868=1\u300d\u300c\u88cf=0\u300d\u3068\u5b9a\u7fa9\u3057\u305f\u5834\u5408\uff0c\u78ba\u7387\u5909\u6570X\u306fX={1,0}\u3068\u8868\u305b\u308b\uff0e<br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mieruca-ai.com\/ai\/wp-content\/uploads\/2018\/05\/fig01-4.png\" alt=\"\" width=\"807\" height=\"303\" class=\"alignnone size-full wp-image-370\" \/>\n<\/p>\n<p>\n\u3067\u306f\uff0c\u78ba\u7387\u904e\u7a0b\u306e\u8aac\u660e\u306b\u623b\u308d\u3046\uff0e<br \/>\n\u5b9a\u7fa9\u3067\u306f\uff0c<b>\u78ba\u7387\u904e\u7a0b\u3068\u306f<span style=\"color: #ff0000;\">\u6642\u9593\u3068\u5171\u306b\u5909\u5316\u3059\u308b\u78ba\u7387\u5909\u6570<\/b>\u3068\u306a\u3063\u3066\u3044\u305f\uff0e\u5148\u307b\u3069\u6319\u3052\u305f\u30b5\u30a4\u30b3\u30ed\u3084\u30b3\u30a4\u30f3\u306e\u4f8b\u306f\uff0c\u3053\u306e\u78ba\u7387\u904e\u7a0b\u306b\u5f53\u3066\u306f\u307e\u3089\u306a\u3044\u3053\u3068\u306f\u308f\u304b\u308b\u3060\u308d\u3046\uff0e\u306a\u305c\u306a\u3089\uff0c<b>\u30b5\u30a4\u30b3\u30ed\u306e\u76ee\u3084\u30b3\u30a4\u30f3\u306e\u8868\u88cf\u306f\u6642\u9593\u3068\u5171\u306b\u5909\u5316\u3057\u306a\u3044\u304b\u3089<\/b>\u3067\u3042\u308b\uff0e\u3053\u3053\u3067\u3044\u3046\u300c\u6642\u9593\u3068\u5171\u306b\u5909\u5316\u300d\u3068\u306f\uff0c\u30b5\u30a4\u30b3\u30ed\u3092\u632f\u3063\u3066\u51fa\u76ee\u3092\u78ba\u8a8d\u3057\u305f\u5f8c\uff0c\u305d\u306e1\u79d2\u5f8c\u306b\u3082\u3046\u4e00\u5ea6\u898b\u305f\u3089\u51fa\u76ee\u304c\u5909\u308f\u3063\u3066\u3044\u308b\u3088\u3046\u306a\u3053\u3068\u3092\u6307\u3059\uff0e<br \/>\n\u78ba\u7387\u904e\u7a0b\u306b\u3064\u3044\u3066\uff0c\u4f8b\u3092\u6319\u3052\u3066\u307f\u3088\u3046\uff0e\n<\/p>\n<p>\n\u78ba\u7387\u904e\u7a0b\u306e\u4f8b\u306b\u306f\uff0c\u682a\u4fa1\u306e\u5909\u52d5\u304c\u6319\u3052\u3089\u308c\u308b\uff0e\u3053\u3053\u3067\uff0c\u682a\u4fa1\u304c500\u5186\u4ee5\u4e0a\u306e\u78ba\u7387\u304c0.4\uff0c500\u5186\u672a\u6e80\u306e\u78ba\u7387\u304c0.6\u3067\u3042\u308b\u72b6\u6cc1\u3092\u4eee\u5b9a\u3057\u3088\u3046\uff0e\u3053\u306e\u5834\u5408\uff0c\u78ba\u7387\u306f\u3042\u308b\u6642\u70b9\u3067\u306e\u682a\u4fa1\u306b\u3088\u3063\u3066\u6c7a\u307e\u308b\u304c\uff0c\u682a\u4fa1\u306f\u6642\u9593\u3068\u5171\u306b\u523b\u4e00\u523b\u3068\u5909\u308f\u3063\u3066\u3044\u304f\u305f\u3081\uff0c\u6642\u9593\u306b\u3088\u3063\u3066\u78ba\u7387\u306f\u5909\u52d5\u3059\u308b\uff0e\u3053\u306e\u3088\u3046\u306b\u6642\u9593\u3067\u5909\u5316\u3059\u308b\u78ba\u7387\u5909\u6570\u3092\u78ba\u7387\u904e\u7a0b\u3068\u547c\u3076\uff0e<br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mieruca-ai.com\/ai\/wp-content\/uploads\/2018\/05\/fig02-3.png\" alt=\"\" width=\"666\" height=\"191\" class=\"alignnone size-full wp-image-371\" \/>\n<\/p>\n<p>\n\u78ba\u7387\u904e\u7a0b\u306b\u3064\u3044\u3066\u306f\u3054\u7406\u89e3\u3044\u305f\u3060\u3051\u305f\u3060\u308d\u3046\u304b\uff0e\u3053\u3053\u3067\uff0c\u78ba\u7387\u904e\u7a0b\u306e\u5b9a\u7fa9\u306b\u306f\u51fa\u73fe\u3057\u3066\u3044\u306a\u3044\u304c\uff0c<b><span style=\"color: #ff0000;\">\u78ba\u7387\u5206\u5e03<\/span><\/b>\u306b\u3064\u3044\u3066\u3082\u89e3\u8aac\u3057\u3066\u304a\u3053\u3046\uff0e\u78ba\u7387\u5206\u5e03\u306f\uff0c\u305d\u306e\u6b21\u306b\u89e3\u8aac\u3059\u308b<b>\u30de\u30eb\u30b3\u30d5\u6027<\/b>\u306e\u5b9a\u7fa9\u306b\u51fa\u73fe\u3057\u3066\u3044\u308b\u305f\u3081\u4e8b\u524d\u306b\u7406\u89e3\u3057\u3066\u304a\u304f\u5fc5\u8981\u304c\u3042\u308b\uff0e\n<\/p>\n<h3>\u78ba\u7387\u5206\u5e03\u3068\u306f<\/h3>\n<p>\n\u78ba\u7387\u5206\u5e03\u306ewikipedia\u3092\u78ba\u8a8d\u3059\u308b\u3068\uff0c\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u8aac\u660e\u3055\u308c\u3066\u3044\u308b\uff0e\n<\/p>\n<p>\n<b>&#8220;\u78ba\u7387\u5206\u5e03\uff08\u304b\u304f\u308a\u3064\u3076\u3093\u3077, \u82f1: probability distribution\uff09\u306f\u3001\u78ba\u7387\u5909\u6570\u306e\u5404\u3005\u306e\u5024\u306b\u5bfe\u3057\u3066\u3001\u305d\u306e\u8d77\u3053\u308a\u3084\u3059\u3055\u3092\u8a18\u8ff0\u3059\u308b\u3082\u306e\u3067\u3042\u308b\u3002&#8221;<\/b> &#8211; <a href=\"https:\/\/ja.wikipedia.org\/wiki\/%E7%A2%BA%E7%8E%87%E5%88%86%E5%B8%83\">\u78ba\u7387\u5206\u5e03(wikipedia)<\/a>\n<\/p>\n<p>\n\u78ba\u7387\u5206\u5e03\u306b\u306f<b>\u78ba\u7387\u5909\u6570\u304c\u96e2\u6563\u7684\u306a\u5834\u5408<\/b>\u3068<b>\u78ba\u7387\u5909\u6570\u304c\u9023\u7d9a\u7684\u306a\u5834\u5408<\/b>\u304c\u5b58\u5728\u3059\u308b\u304c\uff0c\u3053\u3053\u3067\u306f<b>\u96e2\u6563\u7684\u306a\u5834\u5408<\/b>\u3092\u8003\u3048\u308b\uff0e\u9023\u7d9a\u7684\u306a\u5834\u5408\u3092\u7406\u89e3\u3059\u308b\u305f\u3081\u306b\u306f\u6e2c\u5ea6\u306e\u6982\u5ff5\u7b49\u304c\u5fc5\u8981\u3068\u306a\u308b\u305f\u3081\uff0c\u3053\u3053\u3067\u306f\u5272\u611b\u3059\u308b\uff0e<br \/>\n\u7406\u60f3\u7684\u306a6\u9762\u30b5\u30a4\u30b3\u30ed\u3092\u8003\u3048\u3066\u307f\u3088\u3046\uff0e\u3053\u3053\u3067\u3044\u3046\u7406\u60f3\u7684\u3068\u306f<b>\u3059\u3079\u3066\u306e\u51fa\u76ee(\u3064\u307e\u308a\u78ba\u7387\u5909\u6570)\u306e\u51fa\u308b\u78ba\u7387\u304c\u540c\u3058<\/b>\u3053\u3068\u3092\u6307\u3059\uff0e\u30b5\u30a4\u30b3\u30ed\u306b\u306f6\u9762\u5b58\u5728\u3057\uff0c\u3059\u3079\u3066\u306e\u51fa\u76ee\u304c\u51fa\u308b\u78ba\u7387\u304c\u540c\u3058\u5834\u5408\uff0c<b>\u5404\u51fa\u76ee\u306e\u51fa\u308b\u78ba\u7387\u306f1\/6<\/b>\u3068\u306a\u308b\u305f\u3081\uff0cX={1,2,3,4,5,6}\u3068\u3057\u305f\u6642\uff0c\u78ba\u7387\u5206\u5e03P<sub>X<\/sub>\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308b\uff0e<\/p>\n<div class=\"show-srollbar\">$$P(X)=\\frac{1}{6}$$<\/div>\n<\/p>\n<p>\n\u5c11\u3057\u96e3\u3057\u3044\u4f8b\u3068\u3057\u3066\uff0c<b>\u7406\u60f3\u7684\u306a6\u9762\u30b5\u30a4\u30b3\u30ed\u30922\u56de\u6295\u3052\u305f\u6642\u306e\u51fa\u76ee\u306e\u548c<\/b>\u306e\u78ba\u7387\u5206\u5e03\u3092\u8003\u3048\u3066\u307f\u3088\u3046\uff0e<br \/>\n\u51fa\u76ee\u306e\u548c\u3068\u51fa\u76ee\u306e\u30d1\u30bf\u30fc\u30f3\uff0c\u305d\u306e\u78ba\u7387\u306f\u4ee5\u4e0b\u306e\u56f3\u306e\u3088\u3046\u306b\u306a\u308b\uff0e\u3053\u306e\u3068\u304d\u306e<b>\u78ba\u7387\u306e\u5206\u5e03\u3092\u8868\u3057\u305f\u3082\u306e\u304c\u78ba\u7387\u5206\u5e03<\/b>\u3068\u306a\u308a\uff0c\u78ba\u7387\u5909\u6570\u304c\u96e2\u6563\u7684\u306a\u5834\u5408\u306b\u306f<b><span style=\"color: #ff0000;\">\u30d2\u30b9\u30c8\u30b0\u30e9\u30e0<\/span><\/b>\u3067\u8868\u3055\u308c\u308b\u3053\u3068\u304c\u591a\u3044\uff0e<br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mieruca-ai.com\/ai\/wp-content\/uploads\/2018\/05\/fig03-3.png\" alt=\"\" width=\"858\" height=\"1071\" class=\"alignnone size-full wp-image-372\" \/>\n<\/p>\n<p>\n\u4f75\u305b\u3066\uff0c\u6761\u4ef6\u4ed8\u304d\u78ba\u7387\u5206\u5e03\u306b\u3064\u3044\u3066\u3082\u7c21\u5358\u306b\u78ba\u8a8d\u3057\u3066\u304a\u3053\u3046\uff0e\n<\/p>\n<h3>\u6761\u4ef6\u4ed8\u304d\u78ba\u7387\u5206\u5e03\u3068\u306f<\/h3>\n<p>\n\u6761\u4ef6\u4ed8\u304d\u78ba\u7387\u5206\u5e03\u3068\u306f<b>\u4e8b\u8c61\u304c2\u3064\u5b58\u5728\u3059\u308b\u5834\u5408\u306b<span style=\"color: #ff0000;\">\u4e00\u65b9\u306e\u4e8b\u8c61\u304c\u767a\u751f\u3057\u305f\u5834\u5408\u306e\uff0c\u3082\u3046\u4e00\u65b9\u306e\u4e8b\u8c61\u304c\u767a\u751f\u3059\u308b\u78ba\u7387\u306e\u5206\u5e03<\/span><\/b>\u3092\u6307\u3059\uff0e\n<\/p>\n<p>\n\u4e8b\u8c61A\u3068\u4e8b\u8c61B\u306b\u3064\u3044\u3066\uff0c<b>\u4e8b\u8c61A\u304c\u767a\u751f\u3057\u305f\u3068\u304d\u306e\u4e8b\u8c61B\u306e\u6761\u4ef6\u4ed8\u304d\u78ba\u7387P(B|A)<\/b>\u306f\u4ee5\u4e0b\u306e\u5f0f\u3067\u5b9a\u7fa9\u3055\u308c\u308b\uff0e<br \/>\n\u3053\u306e\u6761\u4ef6\u4ed8\u304d\u78ba\u7387\u306e\u5206\u5e03\u3092\u8868\u3057\u305f\u3082\u306e\u304c\uff0c<b>\u6761\u4ef6\u4ed8\u304d\u78ba\u7387\u5206\u5e03<\/b>\u3067\u3042\u308b\uff0e<\/p>\n<div class=\"show-srollbar\">$$ P(B|A)=\\frac{P(A \\cap B)}{P(A)} $$ <\/div>\n<\/p>\n<p>\n\u78ba\u7387\u5206\u5e03\uff0c\u6761\u4ef6\u4ed8\u304d\u78ba\u7387\u5206\u5e03\u306b\u3064\u3044\u3066\u3082\u7406\u89e3\u3067\u304d\u305f\u3068\u3053\u308d\u3067\uff0c\u6b21\u306f<b><span style=\"color: #ff0000;\">\u30de\u30eb\u30b3\u30d5\u6027<\/span><\/b>\u306b\u3064\u3044\u3066\u78ba\u8a8d\u3057\u3088\u3046\uff0e\n<\/p>\n<h3>\u30de\u30eb\u30b3\u30d5\u6027\u3068\u306f<\/h3>\n<p>\n\u30de\u30eb\u30b3\u30d5\u6027\u306b\u3064\u3044\u3066\uff0cwikipedia\u3067\u5b9a\u7fa9\u3092\u78ba\u8a8d\u3057\u3088\u3046\uff0e\n<\/p>\n<p>\n<b>&#8220;\u30de\u30eb\u30b3\u30d5\u6027\uff08\u30de\u30eb\u30b3\u30d5\u305b\u3044\u3001\u82f1: Markov property\uff09\u3068\u306f\u3001\u78ba\u7387\u8ad6\u306b\u304a\u3051\u308b\u78ba\u7387\u904e\u7a0b\u306e\u6301\u3064\u7279\u6027\u306e\u4e00\u7a2e\u3067\u3001\u305d\u306e\u904e\u7a0b\u306e\u5c06\u6765\u72b6\u614b\u306e\u6761\u4ef6\u4ed8\u304d\u78ba\u7387\u5206\u5e03\u304c\u3001\u73fe\u5728\u72b6\u614b\u306e\u307f\u306b\u4f9d\u5b58\u3057\u3001\u904e\u53bb\u306e\u3044\u304b\u306a\u308b\u72b6\u614b\u306b\u3082\u4f9d\u5b58\u3057\u306a\u3044\u7279\u6027\u3092\u6301\u3064\u3053\u3068\u3092\u3044\u3046\u3002\u3059\u306a\u308f\u3061\u3001\u904e\u53bb\u306e\u72b6\u614b\u304c\u4e0e\u3048\u3089\u308c\u305f\u3068\u304d\u3001\u73fe\u5728\u306e\u72b6\u614b\uff08\u904e\u7a0b\u306e\u7d4c\u8def\uff09\u306f\u6761\u4ef6\u4ed8\u304d\u72ec\u7acb\u3067\u3042\u308b\u3002&#8221;<\/b> &#8211; <a href=\"https:\/\/ja.wikipedia.org\/wiki\/%E3%83%9E%E3%83%AB%E3%82%B3%E3%83%95%E6%80%A7\">\u30de\u30eb\u30b3\u30d5\u6027(wikipedia)<\/a>\n<\/p>\n<p>\n\u78ba\u7387\u904e\u7a0bX(t)\u306b\u3064\u3044\u3066t>0\u304c\u30de\u30eb\u30b3\u30d5\u6027\u3092\u6301\u3064\u3068\u304d\uff0c\u6570\u5b66\u7684\u306b\u4ee5\u4e0b\u306e\u5f0f\u304c\u6210\u308a\u7acb\u3064\uff0e<\/p>\n<div class=\"show-srollbar\">$$Pr[X(t+h)=y|X(s)=x(s),\\forall s \\leq t]=Pr[X(t+h)=y|X(t)=x(t)],\\forall h>0$$<\/div>\n<p>\u3053\u306e\u5f0f\u304b\u3089\u308f\u304b\u308b\u901a\u308a\uff0cX(t+h)\u306e\u78ba\u7387\u5206\u5e03\u306fs&lt;t\u3068\u306a\u308b\u3059\u3079\u3066\u306es\u306e\u4e8b\u5f8c\u78ba\u7387\u3067\u306f\u306a\u304f\uff0c<b>\u76f4\u524d(t)\u306e\u307f\u306e\u4e8b\u5f8c\u78ba\u7387<\/b>\u3068\u3057\u3066\u5b9a\u7fa9\u3055\u308c\u308b\uff0e\n<\/p>\n<p>\n\u4f8b\u3048\u3070\uff0c<b>\u5929\u6c17\u304c\u30de\u30eb\u30b3\u30d5\u6027\u3092\u6301\u3064<\/b>\u5834\u5408\u3092\u4eee\u5b9a\u3057\u3066\u307f\u3088\u3046\uff0e\t<br \/>\n\u4e00\u822c\u7684\u306b\uff0c\u7fcc\u65e5\u306e\u5929\u6c17\u306f\u4eca\u65e5\u307e\u3067\u306e\u96f2\u306e\u52d5\u304d\u3092\u53c2\u8003\u306b\u4e88\u6e2c\u3055\u308c\u308b\uff0e\u3064\u307e\u308a\uff0c\u7fcc\u65e5\u306e\u5929\u6c17\u3092\u4e88\u6e2c\u3059\u308b\u305f\u3081\u306b\u306f\uff0c\u6628\u65e5\u4ee5\u524d\u306e\u5929\u6c17\u306e\u60c5\u5831\u3082\u5229\u7528\u3059\u308b\u5fc5\u8981\u304c\u3042\u308b\uff0e\u3057\u304b\u3057\uff0c\u5929\u6c17\u304c\u30de\u30eb\u30b3\u30d5\u6027\u3092\u6301\u3064\u5834\u5408\uff0c<b>\u660e\u65e5\u306e\u5929\u6c17\u306f\u4eca\u65e5\u306e\u5929\u6c17\u306b\u306e\u307f\u5de6\u53f3\u3055\u308c\u308b(\u6628\u65e5\u3088\u308a\u524d\u306e\u5929\u6c17\u306f\u95a2\u4fc2\u306a\u3044)<\/b>\u305f\u3081\uff0c\u6628\u65e5\u4ee5\u524d\u306e\u5929\u6c17\u306e\u60c5\u5831\u3092\u5229\u7528\u3059\u308b\u5fc5\u8981\u304c\u306a\u304f\u306a\u308b\uff0e<br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mieruca-ai.com\/ai\/wp-content\/uploads\/2018\/05\/fig04-3.png\" alt=\"\" width=\"1122\" height=\"621\" class=\"alignnone size-full wp-image-373\" \/>\n<\/p>\n<p>\n\u30de\u30eb\u30b3\u30d5\u6027\u306b\u3064\u3044\u3066\u7406\u89e3\u3067\u304d\u305f\u3060\u308d\u3046\u304b\uff0e<br \/>\n\u305d\u308c\u3067\u306f\uff0c\u3053\u308c\u307e\u3067\u306e\u77e5\u8b58\u304b\u3089<b><span style=\"color: #ff0000;\">\u30de\u30eb\u30b3\u30d5\u904e\u7a0b<\/span><\/b>\u306e\u307e\u3068\u3081\u3092\u3057\u3088\u3046\uff0e\n<\/p>\n<h3>\u30de\u30eb\u30b3\u30d5\u904e\u7a0b\u306e\u307e\u3068\u3081<\/h3>\n<p>\n\u300e<a href=\"#mtoc_1\">\u30de\u30eb\u30b3\u30d5\u904e\u7a0b\u306e\u6982\u8981<\/a>\u300f\u306e\u9805\u3067\u78ba\u8a8d\u3057\u305f\u901a\u308a\uff0c<b>\u30de\u30eb\u30b3\u30d5\u904e\u7a0b\u306f\u30de\u30eb\u30b3\u30d5\u6027\u3092\u3082\u3064\u78ba\u7387\u904e\u7a0b\u306e\u3053\u3068\u3092\u3044\u3046<\/b>\uff0e\u30de\u30eb\u30b3\u30d5\u6027\u306f<b>\u5c06\u6765(\u6b21\u306e)\u72b6\u614b\u306e\u6761\u4ef6\u3064\u304d\u78ba\u7387\u5206\u5e03\u306f\u73fe\u5728\u72b6\u614b\u306e\u307f\u306b\u4f9d\u5b58\u3059\u308b\u6027\u8cea<\/b>\u3092\u6307\u3057\uff0c\u78ba\u7387\u904e\u7a0b\u306f<b>\u6642\u9593\u3068\u5171\u306b\u5909\u5316\u3059\u308b\u78ba\u7387\u5909\u6570<\/b>\u3092\u6307\u3059\uff0e\n<\/p>\n<p>\n\u30de\u30eb\u30b3\u30d5\u904e\u7a0b(\u30de\u30eb\u30b3\u30d5\u30e2\u30c7\u30eb)\u306b\u3064\u3044\u3066\u306f\u7406\u89e3\u3067\u304d\u305f\u3060\u308d\u3046\u304b\uff0e2\u3064\u76ee\u306e\u5927\u304d\u306a\u984c\u6750\u3067\u3042\u308b<b>\u96a0\u308c\u30de\u30eb\u30b3\u30d5\u30e2\u30c7\u30eb<\/b>\u306b\u3064\u3044\u3066\u89e3\u8aac\u3059\u308b\u524d\u306b\uff0c\u30de\u30eb\u30b3\u30d5\u904e\u7a0b\u306e\u5206\u985e\u306b\u3064\u3044\u3066\u78ba\u8a8d\u3057\u305f\u3044\uff0e\u305d\u3046\u3059\u308b\u3053\u3068\u3067\uff0c\u96a0\u308c\u30de\u30eb\u30b3\u30d5\u30e2\u30c7\u30eb\u304c\u3088\u308a\u7406\u89e3\u3057\u3084\u3059\u304f\u306a\u308b\u305f\u3081\u3067\u3042\u308b\uff0e<br \/>\n\u305d\u308c\u3067\u306f\uff0c<b>\u30de\u30eb\u30b3\u30d5\u904e\u7a0b\u306e\u5206\u985e\u3068<span style=\"color: #ff0000;\">\u30de\u30eb\u30b3\u30d5\u9023\u9396<\/span><\/b>\u306b\u3064\u3044\u3066\u89e3\u8aac\u3057\u3088\u3046\uff0e\n<\/p>\n<h2 id=\"toc_3\">\u30de\u30eb\u30b3\u30d5\u904e\u7a0b\u306e\u5206\u985e\u3068\u30de\u30eb\u30b3\u30d5\u9023\u9396\u306b\u3064\u3044\u3066<\/h2>\n<p>\n\u307e\u305a\u306f\uff0c\u30de\u30eb\u30b3\u30d5\u904e\u7a0b\u306e\u5206\u985e\u306b\u3064\u3044\u3066\u78ba\u8a8d\u3057\u3088\u3046\uff0e\n<\/p>\n<h3>\u30de\u30eb\u30b3\u30d5\u904e\u7a0b\u306e\u5206\u985e<\/h3>\n<p>\n\u30de\u30eb\u30b3\u30d5\u904e\u7a0b\u306f\u4ee5\u4e0b\u306e7\u3064\u306b\u5206\u985e\u3055\u308c\u308b\uff0e<br \/>\n<strong>\u25c6\u5358\u7d14\u30de\u30eb\u30b3\u30d5\u904e\u7a0b<\/strong><br \/>\n\u73fe\u5728\u72b6\u614b\u306e\u307f\u304b\u3089\u5c06\u6765\u72b6\u614b\u304c\u6c7a\u5b9a\u3055\u308c\u308b\u30de\u30eb\u30b3\u30d5\u904e\u7a0b\u306e\u3053\u3068\uff0e\u5358\u306b\u30de\u30eb\u30b3\u30d5\u904e\u7a0b\u3068\u547c\u3076\u5834\u5408\u306f\uff0c\u3053\u306e\u5358\u7d14\u30de\u30eb\u30b3\u30d5\u904e\u7a0b\u3092\u6307\u3057\u3066\u3044\u308b\u5834\u5408\u304c\u591a\u3044\uff0e<br \/>\n<strong>\u25c6N\u968e(N\u91cd)\u30de\u30eb\u30b3\u30d5\u904e\u7a0b<\/strong><br \/>\n\u9023\u7d9a\u3057\u305fN\u500b\u306e\u72b6\u614b\u304b\u3089\u5c06\u6765\u72b6\u614b\u304c\u6c7a\u5b9a\u3055\u308c\u308b\u30de\u30eb\u30b3\u30d5\u904e\u7a0b\u306e\u3053\u3068\uff0eN=1\u306e\u3068\u304d\uff0c\u5358\u7d14\u30de\u30eb\u30b3\u30d5\u904e\u7a0b\u3092\u6307\u3059\uff0e\u307e\u305f\uff0cN\u500b\u306e\u72b6\u614b\u3092\u73fe\u5728\u72b6\u614b\u3068\u5b9a\u7fa9\u3057\u306a\u304a\u3059\u3053\u3068\u306b\u3088\u308a\uff0c\u5358\u7d14\u30de\u30eb\u30b3\u30d5\u904e\u7a0b\u3068\u3057\u3066\u8868\u73fe\u3059\u308b\u3053\u3068\u3082\u53ef\u80fd\u3067\u3042\u308b\uff0e<br \/>\n<strong>\u25c6\u96e2\u6563\u6642\u9593\u30de\u30eb\u30b3\u30d5\u904e\u7a0b<\/strong><br \/>\n\u6642\u523bt\u304c\u96e2\u6563\u7684\u306a\u5834\u5408\u306e\u30de\u30eb\u30b3\u30d5\u904e\u7a0b\u306e\u3053\u3068\uff0e\u4e00\u822c\u7684\u306b\u6642\u523b\u306e\u96c6\u5408\u306fT={1,2,3,&#8230;}\u3068\u5b9a\u7fa9\u3059\u308b\uff0e<br \/>\n<strong>\u25c6\u9023\u7d9a\u6642\u9593\u30de\u30eb\u30b3\u30d5\u904e\u7a0b<\/strong><br \/>\n\u96e2\u6563\u6642\u9593\u30de\u30eb\u30b3\u30d5\u904e\u7a0b\u3068\u9055\u3044\uff0c\u6642\u523bt\u304c\u9023\u7d9a\u7684\u306a\u5834\u5408\u306e\u30de\u30eb\u30b3\u30d5\u904e\u7a0b\u306e\u3053\u3068\uff0e\u6642\u523b\u306e\u96c6\u5408\u3092T=[0,\u221e)\u7b49\u3068\u5b9a\u7fa9\u3059\u308b\uff0e<br \/>\n<strong>\u25c6\u96e2\u6563\u30de\u30eb\u30b3\u30d5\u904e\u7a0b<\/strong><br \/>\n\u30de\u30eb\u30b3\u30d5\u904e\u7a0b\u306e\u72b6\u614b\u7a7a\u9593\u304c\u96e2\u6563\u96c6\u5408\u3067\u3042\u308b\u30de\u30eb\u30b3\u30d5\u904e\u7a0b\u306e\u3053\u3068\uff0e\u3064\u307e\u308a\uff0c\u72b6\u614b\u304c\u96e2\u6563\u7684\u3067\u3042\u308a\u30de\u30eb\u30b3\u30d5\u6027\u304c\u6210\u308a\u7acb\u3064\u3088\u3046\u306a\u30de\u30eb\u30b3\u30d5\u904e\u7a0b\u3092\u6307\u3059\uff0e<br \/>\n<strong>\u25c6\u9023\u7d9a\u30de\u30eb\u30b3\u30d5\u904e\u7a0b<\/strong><br \/>\n\u96e2\u6563\u30de\u30eb\u30b3\u30d5\u904e\u7a0b\u3068\u9055\u3044\uff0c\u30de\u30eb\u30b3\u30d5\u904e\u7a0b\u306e\u72b6\u614b\u7a7a\u9593\u304c\u9023\u7d9a\u7684\u3067\u3042\u308b\u30de\u30eb\u30b3\u30d5\u904e\u7a0b\u306e\u3053\u3068\uff0e<br \/>\n<strong>\u25c6\u6642\u9593\u7684\u306b\u4e00\u69d8\u306a\u30de\u30eb\u30b3\u30d5\u904e\u7a0b<\/strong><br \/>\n\u72b6\u614b\u306e\u63a8\u79fb\u78ba\u7387\u304c\u6642\u9593\u306b\u4f9d\u3089\u305a\u4e00\u5b9a\u3067\u3042\u308b\u3088\u3046\u306a\u30de\u30eb\u30b3\u30d5\u904e\u7a0b\u306e\u3053\u3068\uff0e\n<\/p>\n<p>\n\u3067\u306f\uff0c\u3053\u306e\u5206\u985e\u3092\u5143\u306b\u30de\u30eb\u30b3\u30d5\u9023\u9396\u306e\u6982\u8981\u3092wikipedia\u3067\u78ba\u8a8d\u3057\u3088\u3046\uff0e\n<\/p>\n<h3>\u30de\u30eb\u30b3\u30d5\u9023\u9396\u306e\u6982\u8981<\/h3>\n<p>\n<b>&#8220;\u30de\u30eb\u30b3\u30d5\u9023\u9396\uff08\u30de\u30eb\u30b3\u30d5\u308c\u3093\u3055\u3001\u82f1: Markov chain\uff09\u3068\u306f\u3001\u78ba\u7387\u904e\u7a0b\u306e\u4e00\u7a2e\u3067\u3042\u308b\u30de\u30eb\u30b3\u30d5\u904e\u7a0b\u306e\u3046\u3061\u3001\u3068\u308a\u3046\u308b\u72b6\u614b\u304c\u96e2\u6563\u7684\uff08\u6709\u9650\u307e\u305f\u306f\u53ef\u7b97\uff09\u306a\u3082\u306e\uff08\u96e2\u6563\u72b6\u614b\u30de\u30eb\u30b3\u30d5\u904e\u7a0b\uff09\u3092\u3044\u3046\u3002\u307e\u305f\u7279\u306b\u3001\u6642\u9593\u304c\u96e2\u6563\u7684\u306a\u3082\u306e\uff08\u6642\u523b\u306f\u6dfb\u3048\u5b57\u3067\u8868\u3055\u308c\u308b\uff09\u3092\u6307\u3059\u3053\u3068\u304c\u591a\u3044\uff08\u4ed6\u306b\u9023\u7d9a\u6642\u9593\u30de\u30eb\u30b3\u30d5\u904e\u7a0b\u3068\u3044\u3046\u3082\u306e\u3082\u3042\u308a\u3001\u3053\u308c\u306f\u6642\u523b\u304c\u9023\u7d9a\u3067\u3042\u308b\uff09\u3002\u30de\u30eb\u30b3\u30d5\u9023\u9396\u306f\u3001\u672a\u6765\u306e\u6319\u52d5\u304c\u73fe\u5728\u306e\u5024\u3060\u3051\u3067\u6c7a\u5b9a\u3055\u308c\u3001\u904e\u53bb\u306e\u6319\u52d5\u3068\u7121\u95a2\u4fc2\u3067\u3042\u308b\uff08\u30de\u30eb\u30b3\u30d5\u6027\uff09\u3002\u5404\u6642\u523b\u306b\u304a\u3044\u3066\u8d77\u3053\u308b\u72b6\u614b\u5909\u5316\uff08\u9077\u79fb\u307e\u305f\u306f\u63a8\u79fb\uff09\u306b\u95a2\u3057\u3066\u3001\u30de\u30eb\u30b3\u30d5\u9023\u9396\u306f\u9077\u79fb\u78ba\u7387\u304c\u904e\u53bb\u306e\u72b6\u614b\u306b\u3088\u3089\u305a\u3001\u73fe\u5728\u306e\u72b6\u614b\u306e\u307f\u306b\u3088\u308b\u7cfb\u5217\u3067\u3042\u308b\u3002&#8221;<\/b> &#8211; <a href=\"https:\/\/ja.wikipedia.org\/wiki\/%E3%83%9E%E3%83%AB%E3%82%B3%E3%83%95%E9%80%A3%E9%8E%96\">\u30de\u30eb\u30b3\u30d5\u9023\u9396(wikipedia)<\/a>\n<\/p>\n<p>\n\u6982\u8981\u306b\u3082\u3042\u308b\u901a\u308a\uff0c\u30de\u30eb\u30b3\u30d5\u9023\u9396\u3068\u306f<b>\u30de\u30eb\u30b3\u30d5\u904e\u7a0b\u306e\u3046\u3061<span style=\"color: #ff0000;\">\u72b6\u614b\u304c\u96e2\u6563\uff0c\u304b\u3064\u6642\u9593\u304c\u96e2\u6563<\/span><\/b>\u306a\u3082\u306e\u3092\u6307\u3059\u5834\u5408\u304c\u591a\u3044\uff0e\u5206\u985e\u3067\u306f<b>\u96e2\u6563\u6642\u9593\u30de\u30eb\u30b3\u30d5\u904e\u7a0b\uff0c\u96e2\u6563\u30de\u30eb\u30b3\u30d5\u904e\u7a0b<\/b>\u306b\u8a72\u5f53\u3059\u308b\u30de\u30eb\u30b3\u30d5\u904e\u7a0b\u304c\u30de\u30eb\u30b3\u30d5\u9023\u9396\u306b\u8a72\u5f53\u3059\u308b\uff0e<br \/>\n\u6b21\u306b\u30de\u30eb\u30b3\u30d5\u9023\u9396\u306e\u5b9a\u7fa9\u306b\u3064\u3044\u3066\u78ba\u8a8d\u3059\u308b\uff0e\n<\/p>\n<h3 id=\"mtoc_2\">\u30de\u30eb\u30b3\u30d5\u9023\u9396\u306e\u5b9a\u7fa9<\/h3>\n<p>\n\u30de\u30eb\u30b3\u30d5\u9023\u9396\u306e\u5b9a\u7fa9\u306f\uff0c\u30de\u30eb\u30b3\u30d5\u6027\u306e\u5b9a\u7fa9\u3068\u3088\u304f\u4f3c\u3066\u3044\u308b\uff0e\u9055\u3046\u306e\u306f<b>\u6642\u523b\u304c\u96e2\u6563\u7684<\/b>\u3067\u3042\u308b\u3053\u3068\u3088\u308a\uff0c\u6642\u523b\u3092\u6dfb\u3048\u5b57\u3067\u8868\u3057\u3066\u3044\u308b\u70b9\u3067\u3042\u308b\uff0e<br \/>\n\u3053\u3053\u3067\uff0c\u78ba\u7387\u5909\u6570X<sub>i<\/sub>\u306e\u53d6\u308a\u3046\u308b\u5024\u306f<b>\u9023\u9396\u306e\u72b6\u614b\u7a7a\u9593<\/b>\u3068\u547c\u3070\u308c\u308b\uff0e\u30de\u30eb\u30b3\u30d5\u9023\u9396\u306f<b>\u6709\u5411\u30b0\u30e9\u30d5<\/b>\u3067\u8868\u3055\u308c\uff0c<b>\u30b0\u30e9\u30d5\u306e\u5404\u30ce\u30fc\u30c9\u306f\u78ba\u7387\u5909\u6570\uff0c\u30a8\u30c3\u30b8\u306f\u30ce\u30fc\u30c9\u9593\u306e\u9077\u79fb\u78ba\u7387<\/b>\u3092\u8868\u3059\uff0e<\/p>\n<div class=\"show-srollbar\">$$Pr(X_{n+1}=x|X_n=x_n,&#8230;,X_1=x_1,X_0=x_0)=Pr(X_{n+1}=x|X_n=x_n)$$<\/div>\n<\/p>\n<p>\n\u3053\u3053\u3067\uff0c\u4ee3\u8868\u7684\u306a\u30de\u30eb\u30b3\u30d5\u9023\u9396\u3067\u3042\u308b<b><span style=\"color: #ff0000;\">\u5358\u7d14\u30de\u30eb\u30b3\u30d5\u9023\u9396<\/span><\/b>\u3068<b><span style=\"color: #ff0000;\">N\u968e\u30de\u30eb\u30b3\u30d5\u9023\u9396<\/b>\u306b\u3064\u3044\u3066\u78ba\u8a8d\u3057\u3088\u3046\uff0e\n<\/p>\n<h3>\u5358\u7d14\u30de\u30eb\u30b3\u30d5\u9023\u9396\u3068N\u968e\u30de\u30eb\u30b3\u30d5\u9023\u9396<\/h3>\n<p>\n\u3053\u3053\u3067\u3044\u3046<b>\u5358\u7d14<\/b>\u3068\u306f\uff0c<b><span style=\"color: #ff0000;\">\u5c06\u6765\u72b6\u614b\u304c\u73fe\u5728\u72b6\u614b\u306e\u307f\u304b\u3089\u6c7a\u307e\u308b<\/span><\/b>\u3053\u3068\u3092\u6307\u3059\uff0e\u3064\u307e\u308a\u300e<a href=\"#mtoc_2\">\u30de\u30eb\u30b3\u30d5\u9023\u9396\u306e\u5b9a\u7fa9<\/a>\u300f\u306e\u9805\u3067\u7d39\u4ecb\u3057\u305f\u5b9a\u7fa9\u5f0f\u3053\u305d\uff0c\u5358\u7d14\u30de\u30eb\u30b3\u30d5\u9023\u9396\u3092\u8868\u3059\u5f0f\u3067\u3042\u308b\uff0e<br \/>\n\u5bfe\u3057\u3066<b>N\u968e<\/b>\u3068\u306f\uff0c<b><span style=\"color: #ff0000;\">\u5c06\u6765\u72b6\u614b\u304c\u73fe\u5728\u72b6\u614b\u3092\u542b\u3080N\u500b\u306e\u72b6\u614b\u304b\u3089\u6c7a\u307e\u308b<\/span><\/b>\u3053\u3068\u3092\u6307\u3059\uff0e\u305d\u306e\u5834\u5408\uff0c\u5b9a\u7fa9\u5f0f\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308b\uff0e<\/p>\n<div class=\"show-srollbar\">$$Pr(X_{n+1}=x|X_n=x_n,&#8230;,X_1=x_1,X_0=x_0)=Pr(X_{n+1}=x|X_n=x_n,X_{n-1}=x_{n-1},&#8230;,X_{n-N+1}=x_{n-N+1})$$<\/div>\n<\/p>\n<p>\n\u5358\u7d14\u30de\u30eb\u30b3\u30d5\u9023\u9396\u306b\u3064\u3044\u3066\uff0c\u5c11\u3057\u6398\u308a\u4e0b\u3052\u3066\u7406\u89e3\u3057\u3066\u3044\u3053\u3046\uff0e<br \/>\n\u4f8b\u3068\u3057\u3066\uff0c\u30de\u30eb\u30b3\u30d5\u9023\u9396\u4e0a\u3067\u6210\u308a\u7acb\u3064\u5929\u6c17\u304c\u4ee5\u4e0b\u306e\u72b6\u614b\u9077\u79fb\u56f3\u3067\u8868\u3055\u308c\u308b\u5834\u5408\u3092\u8003\u3048\u308b\uff0e\u3053\u3053\u3067\uff0c\u5404\u30ce\u30fc\u30c9\u306f\u5929\u6c17\uff0c\u30a8\u30c3\u30b8\u306f\u3042\u308b\u5929\u6c17\u304b\u3089\u3042\u308b\u5929\u6c17\u3078\u306e\u9077\u79fb\u78ba\u7387\u3068\u3059\u308b\uff0e\u4f8b\u3048\u3070\uff0c\u4ee5\u4e0b\u306e\u56f3\u3067\u3044\u3048\u3070\u300c\u6674\u308c\u300d\u304b\u3089\u305d\u308c\u305e\u308c\u306e\u5929\u6c17\u306b\u9077\u79fb\u3059\u308b\u78ba\u7387\u306f\uff0c\u300c\u6674\u308c\u300d\u304c50%\uff0c\u300c\u66c7\u308a\u300d\u304c\u7d0433%\uff0c\u300c\u96e8\u300d\u304c\u7d0416%\u3068\u306a\u308b\uff0e<br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mieruca-ai.com\/ai\/wp-content\/uploads\/2018\/05\/fig05-3.png\" alt=\"\" width=\"616\" height=\"413\" class=\"alignnone size-full wp-image-374\" \/>\n<\/p>\n<p>\n\u3053\u306e\u72b6\u614b\u9077\u79fb\u3092\u884c\u5217W(Weather\u306e\u982d\u6587\u5b57)\u3068\u3057\u3066\u8868\u73fe\u3059\u308b\u3068\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308b\uff0e<br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mieruca-ai.com\/ai\/wp-content\/uploads\/2018\/05\/fig06-1.png\" alt=\"\" width=\"282\" height=\"230\" class=\"alignnone size-full wp-image-375\" \/>\n<\/p>\n<p>\u3042\u308b\u30bf\u30a4\u30df\u30f3\u30b0t\u3067\u306e\u5929\u6c17\u3092w<sub>t<\/sub><sup>T<\/sup>=(x<sub>1<\/sub>,x<sub>2<\/sub>,x<sub>3<\/sub>)\u3068\u8868\u73fe\u3059\u308b\u3068\u3057\u3088\u3046\uff0e\u3053\u3053\u3067\uff0cx<sub>1<\/sub>\u306f\u6674\u308c\u306e\u78ba\u7387\uff0cx<sub>2<\/sub>\u306f\u66c7\u308a\u306e\u78ba\u7387\uff0cx<sub>3<\/sub>\u306f\u96e8\u306e\u78ba\u7387\u3068\u3059\u308b\uff0e\u4e0a\u4ed8\u304d\u6587\u5b57\u306eT\u306f<b>\u8ee2\u7f6e<\/b>\u3092\u8868\u3057\u3066\u3044\u308b\u305f\u3081\uff0c\u5b9f\u969b\u306ew<sub>t<\/sub>\u306f3\u884c1\u5217\u306e\u884c\u5217\u3067\u3042\u308b\uff0e<br \/>\n\u73fe\u5728\u89b3\u6e2c\u3067\u304d\u3066\u3044\u308b\u6642\u523bt\u306e\u5929\u6c17\u304c\u6674\u308c\u306e\u5834\u5408\uff0cw<sub>t<\/sub><sup>T<\/sup>=(1,0,0)\u3068\u306a\u308b\uff0e<br \/>\n\u6b21\u306e\u6642\u523bt+1\u306e\u5929\u6c17w<sub>t+1<\/sub>\u304c\u77e5\u308a\u305f\u3044\u3068\u304d\u306f\uff0c\u72b6\u614b\u9077\u79fb\u884c\u5217W\u3068\u73fe\u5728\u306e\u5929\u6c17w<sub>t<\/sub>\u3092\u304b\u3051\u5408\u308f\u305b\u308b\u3053\u3068\u3067\u6c42\u3081\u3089\u308c\u308b\uff0e<br \/>\n\u3064\u307e\u308a\uff0cw<sub>t+1<\/sub>=W\u30fbw<sub>t<\/sub>=(1\/2,1\/6,1\/6)\u3068\u306a\u308b\u305f\u3081\uff0c\u6b21\u306e\u65e5\u304c\u300c\u6674\u308c\u300d\u306e\u78ba\u7387\u304c50%\uff0c\u300c\u66c7\u308a\u300d\u306e\u78ba\u7387\u304c\u7d0416%\uff0c\u300c\u96e8\u300d\u306e\u78ba\u7387\u304c\u7d0416%\u3067\u3042\u308b\u3068\u308f\u304b\u308b\uff0e<br \/>\n\u6b21\u306b\uff0c\u6642\u523bt+2\u306e\u5929\u6c17\u304c\u77e5\u308a\u305f\u3044\u3068\u304d\u306f\uff0c\u72b6\u614b\u9077\u79fb\u884c\u5217W\u3068\u6642\u523bt+1\u306e\u5929\u6c17w<sub>t+1<\/sub>\u3092\u304b\u3051\u5408\u308f\u305b\u308c\u3070\u3088\u3044\uff0e<br \/>\n\u3064\u307e\u308a\uff0cw<sub>t+2<\/sub>=W\u30fbw<sub>t+1<\/sub>=W\u30fbW\u30fbw<sub>t<\/sub>=(1\/3,2\/9,2\/9)\u3068\u306a\u308b\uff0e<br \/>\n\u3053\u3053\u304b\u3089\uff0c\u521d\u671f\u72b6\u614b\u306e\u5929\u6c17\u3092w<sub>0<\/sub>\u3068\u3059\u308b\u3068\uff0c\u3042\u308b\u6642\u523bt\u306e\u5929\u6c17\u306fw<sub>t+n<\/sub>=W<sup>n<\/sup>\u30fbw<sub>t<\/sub>\u3067\u8a08\u7b97\u3067\u304d\u308b\u3053\u3068\u304c\u308f\u304b\u308b\uff0e\n<\/p>\n<p>\n\u4e0a\u8a18\u306eW<sup>n<\/sup>\u3092t\u2192\u221e\u3068\u3057\u3066\u6c42\u3081\u308b\u3068\uff0c\u72b6\u614b\u9077\u79fb\u306e\u5b9a\u5e38\u5206\u5e03\u3092\u6c42\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u308b\uff0e\u5b9a\u5e38\u5206\u5e03\u3068\u306f\uff0c\u7121\u9650\u56de\u9077\u79fb\u3057\u305f\u5834\u5408\u306b\u305d\u308c\u305e\u308c\u306e\u72b6\u614b\u306b\u305f\u3069\u308a\u7740\u304f\u78ba\u7387\u306e\u3053\u3068\u3092\u6307\u3059\uff0e\u3053\u3053\u3067\u306f\u8a08\u7b97\u3092\u5272\u611b\u3059\u308b\u304c\uff0c\u4eca\u56de\u306e\u4f8b\u3067\u5b9a\u5e38\u5206\u5e03\u3092\u6c42\u3081\u308b\u3068\uff0c\u7121\u9650\u56de\u9077\u79fb\u3057\u305f\u3068\u304d\u306b\u305d\u308c\u305e\u308c\u306e\u5929\u6c17\u306b\u306a\u308b\u78ba\u7387\u304c\u308f\u304b\u308b\uff0e\u3053\u306e\u3088\u3046\u306b\uff0c\u5358\u7d14\u30de\u30eb\u30b3\u30d5\u9023\u9396\u306e\u5b9a\u5e38\u5206\u5e03\u306f\u72b6\u614b\u9077\u79fb\u3092\u884c\u5217\u306b\u8868\u3059\u3053\u3068\u3067\u5bb9\u6613\u306b\u8a08\u7b97\u3059\u308b\u3053\u3068\u304c\u53ef\u80fd\u3068\u306a\u308b\uff0e<br \/>\n\u5358\u7d14\u30de\u30eb\u30b3\u30d5\u9023\u9396\u306b\u3064\u3044\u3066\u306f\u7406\u89e3\u3044\u305f\u3060\u3051\u305f\u3060\u308d\u3046\u304b\uff0e\u305d\u308c\u3067\u306f\uff0c\u672c\u984c\u306e\u96a0\u308c\u30de\u30eb\u30b3\u30d5\u30e2\u30c7\u30eb\u306b\u3064\u3044\u3066\u89e3\u8aac\u3057\u3088\u3046\uff0e\n<\/p>\n<h2 id=\"toc_4\">\u96a0\u308c\u30de\u30eb\u30b3\u30d5\u30e2\u30c7\u30eb\u3068\u306f<\/h2>\n<p>\n\u540d\u524d\u304b\u3089\u308f\u304b\u308b\u901a\u308a\uff0c\u30de\u30eb\u30b3\u30d5\u30e2\u30c7\u30eb\u3068\u306f\u9055\u3044<b>\u96a0\u308c\u30de\u30eb\u30b3\u30d5\u30e2\u30c7\u30eb\u306f<span style=\"color: #ff0000;\">\u4f55\u304b<\/span>\u304c\u96a0\u308c\u3066\u3044\u308b<\/b>\u306e\u3060\u308d\u3046\u3068\u63a8\u6e2c\u3067\u304d\u308b\uff0e\u3067\u306f\uff0c\u4f55\u304c\u96a0\u308c\u3066\u3044\u308b\u306e\u3060\u308d\u3046\u304b\uff1f<br \/>\n\u3067\u306f\u3044\u3064\u3082\u901a\u308a\uff0c\u307e\u305a\u306f<b>\u96a0\u308c\u30de\u30eb\u30b3\u30d5\u30e2\u30c7\u30eb<\/b>\u306e\u5b9a\u7fa9\u3092\u78ba\u8a8d\u3057\u3088\u3046\uff0e\n<\/p>\n<h3>\u96a0\u308c\u30de\u30eb\u30b3\u30d5\u30e2\u30c7\u30eb(Hidden Markov Model;HMM)\u306e\u6982\u8981<\/h3>\n<p>\n<b>&#8220;\u96a0\u308c\u30de\u30eb\u30b3\u30d5\u30e2\u30c7\u30eb\uff08\u304b\u304f\u308c\u30de\u30eb\u30b3\u30d5\u30e2\u30c7\u30eb\u3001\u82f1\u8a9e: Hidden Markov Model\uff09\u306f\u78ba\u7387\u30e2\u30c7\u30eb\u306e\u3072\u3068\u3064\u3067\u3042\u308a\u3001\u89b3\u6e2c\u3055\u308c\u306a\u3044\uff08\u96a0\u308c\u305f\uff09\u72b6\u614b\u3092\u3082\u3064\u30de\u30eb\u30b3\u30d5\u904e\u7a0b\u3067\u3042\u308b\u3002&#8221;<\/b> &#8211; <a href=\"https:\/\/ja.wikipedia.org\/wiki\/%E9%9A%A0%E3%82%8C%E3%83%9E%E3%83%AB%E3%82%B3%E3%83%95%E3%83%A2%E3%83%87%E3%83%AB\">\u96a0\u308c\u30de\u30eb\u30b3\u30d5\u30e2\u30c7\u30eb(wikipedia)<\/a>\n<\/p>\n<p>\n\u5358\u7d14\u30de\u30eb\u30b3\u30d5\u9023\u9396\u3067\u306f\u72b6\u614b\u304c\u76f4\u63a5\u89b3\u6e2c\u53ef\u80fd\u3067\u3042\u3063\u305f\u305f\u3081\uff0c\u72b6\u614b\u306e\u9077\u79fb\u78ba\u7387\u306e\u307f\u3092\u30d1\u30e9\u30e1\u30fc\u30bf\u3068\u3057\u3066\u3044\u305f\uff0e\u4e00\u65b9\uff0c\u96a0\u308c\u30de\u30eb\u30b3\u30d5\u30e2\u30c7\u30eb\u306b\u304a\u3044\u3066\u306f\u72b6\u614b\u304c\u76f4\u63a5\u89b3\u6e2c\u3055\u308c\u305a\uff0c\u51fa\u529b\u306e\u307f\u304c\u89b3\u6e2c\u3055\u308c\u308b\uff0e\u3053\u3053\u3067\u78ba\u8a8d\u3057\u3066\u304a\u304d\u305f\u3044\u306e\u306f\uff0c<b>\u300c\u72b6\u614b\u300d\u3068\u300c\u51fa\u529b\u300d\u306e\u9055\u3044<\/b>\u3067\u3042\u308b\uff0e\u5148\u307b\u3069\u307e\u3067\u7528\u3044\u3066\u3044\u305f\u5929\u6c17\u306e\u4f8b\u3067\u306f\uff0c\u300c\u72b6\u614b(=\u6674\u308c\uff0c\u66c7\u308a\uff0c\u96e8)\u300d\u304c\u305d\u306e\u307e\u307e\u300c\u51fa\u529b\u300d\u3068\u306a\u3063\u3066\u3044\u308b\u305f\u3081\uff0c\u96a0\u308c\u30de\u30eb\u30b3\u30d5\u30e2\u30c7\u30eb\u306e\u8aac\u660e\u306b\u306f\u9069\u3055\u306a\u3044\uff0e\u3053\u3053\u3067\u306f\uff0c\u65b0\u305f\u306b\u4f8b\u3092\u6319\u3052\u3066\uff0c\u96a0\u308c\u30de\u30eb\u30b3\u30d5\u30e2\u30c7\u30eb\u306b\u3064\u3044\u3066\u78ba\u8a8d\u3057\u3088\u3046\uff0e\n<\/p>\n<p>\n\u3042\u308b\u3068\u3053\u308d\u306b<b>\u6563\u6b69\u304c\u597d\u304d\u306a\u4e00\u4eba\u66ae\u3089\u3057\u306e\u30de\u30eb\u30b3\u30d5\u5c11\u5e74<\/b>\u3068\uff0c<b>\u30de\u30eb\u30b3\u30d5\u5c11\u5e74\u306e\u6bcd\u306e\u30de\u30eb\u30b3\u30d5\u6bcd<\/b>\u304c\u304a\u308a\uff0c2\u4eba\u304c\u4f4f\u3080\u5834\u6240\u306f\u3068\u3066\u3082\u9060\u3044\u3068\u4eee\u5b9a\u3059\u308b\uff0e\u30de\u30eb\u30b3\u30d5\u5c11\u5e74\u306f\u81ea\u5206\u306e\u4f4f\u3093\u3067\u3044\u308b\u8857\u306e\u5929\u6c17\u3092\u5143\u306b\uff0c\u6563\u6b69\u3092\u3069\u3046\u3059\u308b\u304b(\u300c\u9577\u8ddd\u96e2\u300d\uff0c\u300c\u77ed\u8ddd\u96e2\u300d\uff0c\u300c\u6563\u6b69\u306a\u3057\u300d)\u3092\u6c7a\u3081\u3066\u304a\u308a\uff0c\u305d\u306e\u7d50\u679c\u306e\u307f\u3092\u6bce\u65e5\u30de\u30eb\u30b3\u30d5\u6bcd\u306b\u96fb\u8a71\u3057\u3066\u3044\u308b\uff0e\u306a\u304a\uff0c\u30de\u30eb\u30b3\u30d5\u5c11\u5e74\u304c\u6563\u6b69\u3059\u308b\u78ba\u7387\u306f\uff0c\u30de\u30eb\u30b3\u30d5\u5c11\u5e74\u306e\u4f4f\u3080\u8857\u306e\u5929\u6c17\u306b\u3088\u3063\u3066\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u6c7a\u5b9a\u3059\u308b\uff0e<br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mieruca-ai.com\/ai\/wp-content\/uploads\/2018\/05\/fig07-1.png\" alt=\"\" width=\"275\" height=\"204\" class=\"alignnone size-full wp-image-376\" \/><br \/>\n\u307e\u305f\uff0c\u30de\u30eb\u30b3\u30d5\u5c11\u5e74\u306e\u4f4f\u3080\u8857\u306e\u5929\u6c17\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u72b6\u614b\u9077\u79fb\u3059\u308b\u3068\u3057\u3088\u3046\uff0e<br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mieruca-ai.com\/ai\/wp-content\/uploads\/2018\/05\/fig05-3.png\" alt=\"\" width=\"616\" height=\"413\" class=\"alignnone size-full wp-image-374\" \/><br \/>\n\u3053\u306e\u3068\u304d\uff0c\u30de\u30eb\u30b3\u30d5\u6bcd\u306f\u30de\u30eb\u30b3\u30d5\u5c11\u5e74\u304c\u4f4f\u3080\u8857\u306e\u5929\u6c17(\u72b6\u614b)\u3092\u77e5\u308b\u3053\u3068\u304c\u3067\u304d\u306a\u3044\u305f\u3081\uff0c<b>\u96a0\u308c<\/b>\u305f\u72b6\u614b\u3068\u306a\u3063\u3066\u3044\u308b\uff0e\u3057\u304b\u3057\uff0c\u30de\u30eb\u30b3\u30d5\u5c11\u5e74\u306e\u6563\u6b69\u306e\u7d50\u679c(\u51fa\u529b)\u306f\u77e5\u308b\u3053\u3068\u304c\u3067\u304d\u308b\uff0e\u3053\u306e\u3088\u3046\u306a\u30e2\u30c7\u30eb\u306e\u3053\u3068\u3092\uff0c\u96a0\u308c\u30de\u30eb\u30b3\u30d5\u30e2\u30c7\u30eb\u3068\u547c\u3076\uff0e\n<\/p>\n<p>\n\u96a0\u308c\u30de\u30eb\u30b3\u30d5\u30e2\u30c7\u30eb\u3067\u306f\uff0c\u30d1\u30e9\u30e1\u30fc\u30bf\u3068\u3057\u3066<b>\u9077\u79fb\u78ba\u7387<\/b>\u3068<b>\u51fa\u529b\u78ba\u7387<\/b>\u306e2\u7a2e\u985e\u3092\u3068\u308b\uff0e<b>\u9077\u79fb\u78ba\u7387<\/b>\u3068\u306f\uff0c\u72b6\u614b\u304b\u3089\u72b6\u614b\u306b\u9077\u79fb\u3059\u308b\u78ba\u7387\u3092\u8868\u3057\uff0c\u4e0a\u8a18\u306e\u4f8b\u3067\u3044\u3048\u3070\u5929\u6c17\u306e\u72b6\u614b\u9077\u79fb\u78ba\u7387\u304c\u3053\u308c\u306b\u5f53\u305f\u308b\uff0e<b>\u51fa\u529b\u78ba\u7387<\/b>\u3068\u306f\uff0c\u3042\u308b\u72b6\u614b\u3067\u51fa\u529b\u304c\u5f97\u3089\u308c\u308b\u78ba\u7387\u3092\u8868\u3057\uff0c\u4e0a\u8a18\u306e\u4f8b\u3067\u3044\u3048\u3070\u300c\u6674\u308c\u306e\u6642\u306b\u9577\u8ddd\u96e2\u6563\u6b69\u3059\u308b\u78ba\u7387\u300d\u3084\u300c\u96e8\u306e\u6642\u306b\u6563\u6b69\u3057\u306a\u3044\u78ba\u7387\u300d\u304c\u3053\u308c\u306b\u5f53\u305f\u308b\uff0e\n<\/p>\n<h3>\u96a0\u308c\u30de\u30eb\u30b3\u30d5\u30e2\u30c7\u30eb\u304b\u3089\u53ef\u80fd\u306a\u63a8\u5b9a<\/h3>\n<p>\n\u96a0\u308c\u30de\u30eb\u30b3\u30d5\u30e2\u30c7\u30eb\u304b\u3089\u63a8\u5b9a\u53ef\u80fd\u306a\u3082\u306e\u3068\u305d\u306e\u969b\u306b\u4f7f\u7528\u3059\u308b\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u3092\u7d39\u4ecb\u3059\u308b\uff0e\n<\/p>\n<p><strong>\u300c\u72b6\u614b\u300d\u306e\u63a8\u5b9a<\/strong><\/p>\n<p>\n\u6700\u3082\u60f3\u50cf\u3057\u3084\u3059\u3044\u306e\u306f\uff0c\u96a0\u308c\u30de\u30eb\u30b3\u30d5\u30e2\u30c7\u30eb\u3067\u96a0\u3055\u308c\u3066\u3044\u308b<b>\u300c\u72b6\u614b\u300d\u306e\u63a8\u5b9a<\/b>\u3067\u3042\u308d\u3046\uff0e\u4eca\u56de\u306e\u4f8b\u3067\u3044\u3048\u3070\uff0c<b>\u30de\u30eb\u30b3\u30d5\u5c11\u5e74\u304c\u4f4f\u3080\u8857\u306e\u5929\u6c17\u306e\u72b6\u614b\u9077\u79fb\u78ba\u7387\uff0c\u5929\u6c17\u3068\u6563\u6b69\u306e\u95a2\u4fc2(\u78ba\u7387)\uff0c\u30de\u30eb\u30b3\u30d5\u5c11\u5e74\u304c\u5831\u544a\u3057\u305f\u6563\u6b69\u306e\u7d50\u679c<\/b>\u304b\u3089\uff0c\u30de\u30eb\u30b3\u30d5\u6bcd\u304c\u30de\u30eb\u30b3\u30d5\u5c11\u5e74\u306e\u4f4f\u3080\u8857\u306e\u5929\u6c17\u3092\u63a8\u6e2c\u3059\u308b\uff0e<br \/>\n\u305d\u306e\u969b\u306b\u306f<b><span style=\"color: #ff0000;\">\u30d3\u30bf\u30d3\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0<\/span><\/b>\u3068\u3044\u3046\u52d5\u7684\u8a08\u753b\u6cd5\u306e\u4e00\u7a2e\u3067\u3042\u308b\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u304c\u4f7f\u7528\u3055\u308c\uff0c\u53d6\u308a\u3046\u308b\u72b6\u614b\u306e\u30d1\u30bf\u30fc\u30f3\u304b\u3089\u6700\u3082\u5c24\u3082\u3089\u3057\u3044\u30d1\u30bf\u30fc\u30f3\u3092\u9078\u3073\u51fa\u3059\u3053\u3068\u304c\u3067\u304d\u308b\uff0e\n<\/p>\n<p><strong>\u30d1\u30e9\u30e1\u30fc\u30bf(\u9077\u79fb\u78ba\u7387\u3068\u51fa\u529b\u78ba\u7387)\u306e\u63a8\u5b9a<\/strong><\/p>\n<p>\n\u96a0\u308c\u30de\u30eb\u30b3\u30d5\u30e2\u30c7\u30eb\u3067\u306f\uff0c\u300c\u51fa\u529b\u300d\u304b\u3089\u9077\u79fb\u78ba\u7387\u3068\u51fa\u529b\u78ba\u7387\u3092\u63a8\u5b9a\u3059\u308b\u3053\u3068\u3082\u53ef\u80fd\u3067\u3042\u308b\uff0e\u305d\u306e\u969b\u306b\u306f<b><span style=\"color: #ff0000;\">\u30d0\u30a6\u30e0\uff1d\u30a6\u30a7\u30eb\u30c1\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0<\/span><\/b>\u3068\u3044\u3046\u30d5\u30a9\u30ef\u30fc\u30c9\u30d0\u30c3\u30af\u30ef\u30fc\u30c9\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306e\u4e00\u7a2e\u3067\u3042\u308b\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u304c\u63a1\u7528\u3055\u308c\uff0c\u4e3b\u306b\u97f3\u58f0\u3084\u907a\u4f1d\u5b50\u306a\u3069\u306e\u7cfb\u5217\u30c7\u30fc\u30bf\u3092\u89e3\u6790\u3059\u308b\u305f\u3081\u306b\u4f7f\u7528\u3055\u308c\u308b\uff0e\n<\/p>\n<p>\n\u6700\u5f8c\u306b\uff0c\u30de\u30eb\u30b3\u30d5\u30e2\u30c7\u30eb\u3068\u96a0\u308c\u30de\u30eb\u30b3\u30d5\u30e2\u30c7\u30eb\u306e\u9055\u3044\u306b\u3064\u3044\u3066\uff0c\u5fdc\u7528\u4f8b\u3092\u3082\u3068\u306b\u78ba\u8a8d\u3057\u3088\u3046\uff0e\n<\/p>\n<h2 id=\"toc_5\">\u30de\u30eb\u30b3\u30d5\u30e2\u30c7\u30eb\u3068\u96a0\u308c\u30de\u30eb\u30b3\u30d5\u30e2\u30c7\u30eb\u306e\u9055\u3044(\u5fdc\u7528\u4f8b)<\/h2>\n<h3>\u30de\u30eb\u30b3\u30d5\u30e2\u30c7\u30eb\u306e\u5fdc\u7528\u4f8b<\/h3>\n<p>\n\u30de\u30eb\u30b3\u30d5\u30e2\u30c7\u30eb\u306f\uff0c<b>\u5929\u6c17\u4e88\u5831<\/b>\u3084<b>\u8a3c\u5238\u306e\u53d6\u5f15<\/b>\u306e\u5834\u9762\u306b\u5fdc\u7528\u3055\u308c\u3066\u3044\u308b\uff0e\u5929\u6c17\u4e88\u5831\u306e\u5206\u91ce\u3067\u306f\uff0c\u4f8b\u306b\u6319\u3052\u305f\u901a\u308a\u72b6\u614b\u9077\u79fb\u884c\u5217\u3092\u7528\u3044\u3066n\u65e5\u5f8c\u306e\u5929\u6c17w<sub>t+n<\/sub>\u304c\u63a8\u6e2c\u3067\u304d\u308b\u3053\u3068\u3092\u78ba\u8a8d\u3057\u305f\uff0e\u307e\u305f\uff0c\u5b9a\u5e38\u5206\u5e03\u3092\u8a08\u7b97\u3057\u3066\u6c42\u3081\u308b\u3053\u3068\u3067\uff0c\u9650\u308a\u306a\u304f\u672a\u6765\u306e\u5929\u6c17\u306b\u3064\u3044\u3066\uff0c\u305d\u308c\u305e\u308c\u306e\u5929\u6c17\u306b\u306a\u308b\u78ba\u7387\u3092\u6c42\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u308b\uff0e<br \/>\n\u307e\u305f\uff0cGoogle\u3067\u4f7f\u7528\u3055\u308c\u3066\u3044\u308b\uff0c\u30a6\u30a7\u30d6\u30da\u30fc\u30b8\u306e\u91cd\u8981\u5ea6\u3092\u6c7a\u5b9a\u3059\u308b\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u3067\u3042\u308b<b><span style=\"color: #ff0000;\">PageRank<\/span><\/b>\u3067\u3082\u30de\u30eb\u30b3\u30d5\u30e2\u30c7\u30eb\u304c\u4f7f\u7528\u3055\u308c\u3066\u3044\u308b\uff0e\u3053\u308c\u3082\u5929\u6c17\u3068\u540c\u69d8\u306b\u30e6\u30fc\u30b6\u304c\u5404\u30da\u30fc\u30b8\u306b\u9077\u79fb\u3059\u308b\u78ba\u7387\u304b\u3089\u5b9a\u5e38\u5206\u5e03\u3092\u6c42\u3081\u308b\u3053\u3068\u3067\uff0c\u6700\u5f8c\u306b\u30e6\u30fc\u30b6\u304c\u958b\u3044\u3066\u3044\u308b\u30da\u30fc\u30b8\u3092\u63a8\u6e2c\u3057\uff0c\u91cd\u8981\u5ea6\u3092\u6c7a\u3081\u3066\u3044\u308b\uff0e<br \/>\n\u3053\u306e\u3088\u3046\u306b\uff0c\u30de\u30eb\u30b3\u30d5\u30e2\u30c7\u30eb\u3067\u306f<b>\u300c\u72b6\u614b\u300d\u3068\u300c\u51fa\u529b\u300d\u304c\u5224\u660e\u3057\u3066\u3044\u308b<\/b>\u305f\u3081\uff0c<b><span style=\"color: #ff0000;\">\u72b6\u614b\u9077\u79fb\u884c\u5217\u304b\u3089\u7121\u9650\u9077\u79fb\u5f8c\u306e\u5b58\u5728\u78ba\u7387\u3092\u6c42\u3081\u308b\u3053\u3068\u304c\u53ef\u80fd<\/span><\/b>\u3067\u3042\u308b\uff0e\n<\/p>\n<h3>\u96a0\u308c\u30de\u30eb\u30b3\u30d5\u30e2\u30c7\u30eb\u306e\u5fdc\u7528\u4f8b<\/h3>\n<p>\u30de\u30eb\u30b3\u30d5\u30e2\u30c7\u30eb\u3068\u96a0\u308c\u30de\u30eb\u30b3\u30d5\u30e2\u30c7\u30eb\u306e\u9055\u3044\u3068\u3044\u3048\u3070\uff0c<b>\u300c\u72b6\u614b\u300d\u304c\u96a0\u308c\u3066\u3044\u308b\u304b\u3044\u306a\u3044\u304b<\/b>\u3067\u3042\u308d\u3046\uff0e\u3067\u306f\uff0c\u300c\u72b6\u614b\u300d\u304c\u96a0\u308c\u3066\u3044\u308b\u3053\u3068\u306e\u30e1\u30ea\u30c3\u30c8\u306f\u4f55\u306a\u306e\u3060\u308d\u3046\u304b\uff0e\u5b9f\u969b\u306b\u306f\uff0c\u300c\u72b6\u614b\u300d\u304c\u96a0\u308c\u3066\u3044\u308b\u3053\u3068\u3067\u306f\u306a\u304f<b>\u72b6\u614b\u304c\u63a8\u6e2c\u3067\u304d\u308b<\/b>\u3068\u3044\u3046\u30e1\u30ea\u30c3\u30c8\u306e\u65b9\u304c\u5927\u304d\u3044\uff0e\u96a0\u308c\u30de\u30eb\u30b3\u30d5\u30e2\u30c7\u30eb\u3092\u4f7f\u7528\u3059\u308b\u5206\u91ce\u306e\u4e00\u3064\u306b\u97f3\u58f0\u8a8d\u8b58\u5206\u91ce\u304c\u3042\u308b\uff0e\u97f3\u58f0\u4fe1\u53f7\u306b\u5bfe\u3057\u3066\u96a0\u308c\u30de\u30eb\u30b3\u30d5\u30e2\u30c7\u30eb\u3092\u5f53\u3066\u306f\u3081\uff0c\u97f3\u58f0\u8a8d\u8b58\u3084\u97f3\u58f0\u5408\u6210\u306b\u5fdc\u7528\u3055\u308c\u3066\u3044\u308b\uff0e\u4f8b\u3048\u3070\uff0c\u97f3\u58f0\u8a8d\u8b58\u3067\u306f\u4e0e\u3048\u3089\u308c\u305f\u97f3\u58f0\u304b\u3089\u4efb\u610f\u306e\u5358\u8a9e\u5217\u3092\u63a8\u6e2c\u3059\u308b\u969b\u306b\u96a0\u308c\u30de\u30eb\u30b3\u30d5\u30e2\u30c7\u30eb\u304c\u4f7f\u7528\u3055\u308c\u3066\u3044\u308b\uff0e\u305d\u308c\u306b\u3088\u308a\uff0c\u500b\u4eba\u5dee\u304c\u751f\u307e\u308c\u3084\u3059\u3044\u300c\u767a\u58f0\u6cd5\u300d\u7b49\u306e\u97f3\u58f0\u30d1\u30bf\u30fc\u30f3\u306e\u5909\u52d5\u3092\u78ba\u7387\u30e2\u30c7\u30eb\u3067\u6349\u3048\u308b\u3053\u3068\u304c\u3067\u304d\uff0c\u6570\u5b66\u7684\uff0c\u7d71\u8a08\u7684\u306b\u51e6\u7406\u3059\u308b\u3053\u3068\u304c\u53ef\u80fd\u3068\u306a\u308b\uff0e\n<\/p>\n<h2 id=\"toc_6\">\u53c2\u8003<\/h2>\n<p>\u3010\u66f8\u7c4d\u3011<br \/>\n\u30fb\u91d1 \u660e\u54f2:\u30c6\u30ad\u30b9\u30c8\u30c7\u30fc\u30bf\u306e\u7d71\u8a08\u79d1\u5b66\u5165\u9580(2009)\uff0e<br \/>\n\u30fb\u5317 \u7814\u4e8c:\u8a00\u8a9e\u3068\u8a08\u7b97\u30fc\uff14\u3000\u78ba\u7387\u7684\u8a00\u8a9e\u30e2\u30c7\u30eb(1999)\uff0e<\/p>\n<p>\u3010Web\u30b5\u30a4\u30c8\u3011<br \/>\n\u30fb<a href=\"https:\/\/ja.wikipedia.org\/wiki\/%E3%83%9E%E3%83%AB%E3%82%B3%E3%83%95%E9%81%8E%E7%A8%8B\">\u30de\u30eb\u30b3\u30d5\u904e\u7a0b &#8211; wikipedia<\/a><br \/>\n\u30fb<a href=\"https:\/\/ja.wikipedia.org\/wiki\/%E7%A2%BA%E7%8E%87%E9%81%8E%E7%A8%8B\">\u78ba\u7387\u904e\u7a0b &#8211; wikipedia<\/a><br \/>\n\u30fb<a href=\"https:\/\/ja.wikipedia.org\/wiki\/%E7%A2%BA%E7%8E%87%E5%88%86%E5%B8%83\">\u78ba\u7387\u5206\u5e03 &#8211; wikipedia<\/a><br \/>\n\u30fb<a href=\"https:\/\/ja.wikipedia.org\/wiki\/%E6%9D%A1%E4%BB%B6%E4%BB%98%E3%81%8D%E7%A2%BA%E7%8E%87\">\u6761\u4ef6\u4ed8\u304d\u78ba\u7387 &#8211; wikipedia<\/a><br \/>\n\u30fb<a href=\"https:\/\/ja.wikipedia.org\/wiki\/%E3%83%9E%E3%83%AB%E3%82%B3%E3%83%95%E6%80%A7\">\u30de\u30eb\u30b3\u30d5\u6027 &#8211; wikipedia<\/a><br \/>\n\u30fb<a href=\"https:\/\/ja.wikipedia.org\/wiki\/%E9%9A%A0%E3%82%8C%E3%83%9E%E3%83%AB%E3%82%B3%E3%83%95%E3%83%A2%E3%83%87%E3%83%AB\">\u96a0\u308c\u30de\u30eb\u30b3\u30d5\u30e2\u30c7\u30eb &#8211; wikipedia<\/a><br \/>\n\u30fb<a href=\"https:\/\/dev.classmethod.jp\/machine-learning\/markov-chain\/\">\u30de\u30eb\u30b3\u30d5\u9023\u9396\u306e\u8a71<\/a><br \/>\n\u30fb<a href=\"https:\/\/www.slideshare.net\/teramonagi\/ss-5190440\">\u30de\u30eb\u30b3\u30d5\u9023\u9396\u30e2\u30f3\u30c6\u30ab\u30eb\u30ed\u6cd5\u5165\u9580-\uff11<\/a><br \/>\n\u30fb<a href=\"https:\/\/mathwords.net\/hiddenmarkov\">\u96a0\u308c\u30de\u30eb\u30b3\u30d5\u30e2\u30c7\u30eb\u306e\u5927\u96d1\u628a\u306a\u89e3\u8aac<\/a><br \/>\n\u30fb<a 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