\u4eca\u9031\u306f\u3001Bellman\u65b9\u7a0b\u5f0f\u306e\u8a71\u3092\u3057\u307e\u3057\u3087\u3046\u3002\u4eca\u5e74\u306e\u30ce\u30fc\u30d9\u30eb\u8cde\u306eAI\u95a2\u9023\u3067\u3082\u591a\u7528\u3055\u308c\u3066\u3044\u308b\u91cd\u8981\u6982\u5ff5\u306e\u4e00\u3064\u3067\u3059\u3002\u56f2\u7881\u3084\u5c06\u68cb\u306a\u3069\u306e\u68cb\u8b5c\u3092\u5927\u91cf\u306b\u89e3\u6790\u3057\u3066\u3001\u4e0e\u3048\u3089\u308c\u305f\u5c40\u9762\u3067\u306e\u6700\u5584\u624b\u3092\u6c42\u3081\u305f\u308a\u3001\u3042\u308b\u5c40\u9762\u3067\u306e\u52dd\u7387\u3092\u8a08\u7b97\u3057\u305f\u308a\u3067\u304d\u307e\u3059\u3002\u30c6\u30ec\u30d3\u4e2d\u7d99\u306a\u3069\u3067\u300cAI\u306e\u5224\u5b9a\u3059\u308b\u52dd\u7387\u300d\u3067\u51fa\u3066\u304f\u308b\u5024\u3067\u3059\u306d\u3002\u3053\u308c\u306f\u30011953\u5e74\u306bRichard E.Bellman\u304c33\u624d\u3067\u767a\u898b\u3057\u305f\u3001\u52dd\u5229\u306b\u3064\u306a\u304c\u308b\u624b\u306e\u5fc5\u8981\u6761\u4ef6\u3092\u4e0e\u3048\u308b\u6f38\u5316\u5f0f\u3067\u3059\u3002\u5148\u3005\u9031\u304a\u4f11\u307f\u3092\u3044\u305f\u3060\u3044\u3066\u3044\u308b\u3068\u304d\u3001Bellman\u65b9\u7a0b\u5f0f\u3068\u89e3\u6790\u529b\u5b66\u306eHamilton-Jacobi\u65b9\u7a0b\u5f0f\u3068\u306e\u985e\u4f3c\u6027\u3001\u91cf\u5b50\u529b\u5b66\u3068\u306e\u95a2\u9023\u3092\u6307\u6458\u3059\u308b\u672c\u3092\u8aad\u307f\u307e\u3057\u305f\u3002\u305d\u306e\u3042\u305f\u308a\u3092\u89e3\u8aac\u3067\u304d\u308b\u3068\u3044\u3044\u3068\u601d\u3044\u307e\u3059\u3002
\nBellman\u6559\u6388\u306f\u4fee\u58eb\u53f7\u306e\u3042\u3068\u7c73\u8ecd\u306eLos Alamos\u7814\u7a76\u6240\u3067\u50cd\u304d\u3001\u6226\u5f8c\u30d7\u30ea\u30f3\u30b9\u30c8\u30f3\u5927\u5b66\u3067\u535a\u58eb\u53f7\u3092\u3068\u308a\u307e\u3057\u305f\u3002\u305d\u308c\u304b\u3089\u30b9\u30bf\u30f3\u30d5\u30a9\u30fc\u30c9\u5927\u5b66\u3092\u7d4c\u3066\u7c73\u8ecd\u95a2\u4fc2\u306e\u30b7\u30f3\u30af\u30bf\u30f3\u30af\u3067\u3042\u308bRand\u7814\u7a76\u6240\u306b\u5728\u7c4d\u3057\u3066\u3044\u308b\u3068\u304d\u306bBellman\u65b9\u7a0b\u5f0f\u3092\u767a\u8868\u3001\u305d\u306e\u5f8cUniversity of Southern California\u306e\u6559\u6388\u306b\u306a\u3063\u3066\u3044\u307e\u3059\u3002
\nhttps:\/\/ja.wikipedia.org\/wiki\/%E3%83%99%E3%83%AB%E3%83%9E%E3%83%B3%E6%96%B9%E7%A8%8B%E5%BC%8F
\nRand\u7814\u7a76\u6240\u306fNPO\u3067\u3059\u304c\u7c73\u56fd\u653f\u5e9c\u306b\u30b5\u30dd\u30fc\u30c8\u3055\u308c\u3001\u304b\u306a\u308a\u7c73\u56fd\u306e\u5b89\u5168\u4fdd\u969c\u306b\u8fd1\u3044\u7814\u7a76\u6240\u306e\u3088\u3046\u3067\u3059\u3002\u7814\u7a76\u8005\u306f1000\u4eba\u5f37\u3001\u4e88\u7b97\u306f\u5e74\u95933\u5104\u30c9\u30eb\u5f37\uff1d\u4e00\u4eba\u5f53\u305f\u308a4500\u4e07\u5186\uff08\u4eba\u4ef6\u8cbb\u542b\u3080\uff09\u3002\u5831\u544a\u66f8\u306f\u975e\u516c\u958b\u306e\u3082\u306e\u304c\u591a\u3044\u3068\u306e\u3053\u3068\u3002\u4e00\u6642\u5728\u7c4d\u3092\u542b\u3080\u95a2\u4fc2\u8005\u304b\u3089\u30ce\u30fc\u30d9\u30eb\u8cde\u309227\u4eba\u51fa\u3057\u3066\u3044\u308b\u3068\u3044\u3046\u3053\u3068\u3067\u3059\u304c\u3001\u3056\u3063\u3068\u898b\u305f\u3068\u3053\u308d\u7d4c\u6e08\u5b66\u8cde\u304c\u591a\u3044\u3067\u3059\u3002
\nhttps:\/\/ja.wikipedia.org\/wiki\/%E3%83%A9%E3%83%B3%E3%83%89%E7%A0%94%E7%A9%B6%E6%89%80
\nhttps:\/\/www.rand.org\/content\/dam\/rand\/pubs\/corporate_pubs\/CP600\/CP628z5-2018-10\/RAND_CP628z5-2018-10.pdf\u3000\uff08pdf\u6ce8\u610f\uff09<\/p>\n
\u82f1\u8a9e\u306f\u3000https:\/\/en.wikipedia.org\/wiki\/Dynamic_programming\u3000\u304b\u3089\u3002
\n“Dynamic programming is both a mathematical optimization method and an algorithmic paradigm. The method was developed by Richard Bellman in the 1950s and has found applications in numerous fields, from aerospace engineering to economics. ”
\nDynamic programming \u52d5\u7684\u8a08\u753b\u6cd5\u3000\u3068\u8a33\u3057\u307e\u3059\u3002
\noptimization \u6700\u9069\u5316
\nalgorithmic paradigm \u30a2\u308b\u30b4\u300c\u30ea\u300d\u305a\u30df\u30c3\u30af\u3000\u300c\u30d1\u300d\u30e9\u30c0\u30a4\u30e0\u3000\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u4e0a\u306e\u898f\u7bc4 \u300c\u30d1\u30e9\u30c0\u30a4\u30e0\u300d\u306f\u3074\u3063\u305f\u308a\u3068\u3057\u305f\u65e5\u672c\u8a9e\u304c\u6c7a\u307e\u3063\u3066\u3044\u307e\u305b\u3093\u3002\u898f\u7bc4\u3001\u6a21\u7bc4\u3001\u5178\u578b\u3001\u3042\u308b\u6642\u4ee3\u306e\u4eba\u3005\u306e\u8003\u3048\u65b9\u3092\u652f\u3048\u308b\u6982\u5ff5\u3001\u306a\u3069\u3002\u305d\u306e\u307e\u307e\u300c\u30d1\u30e9\u30c0\u30a4\u30e0\u300d\u3067\u4f7f\u3046\u3053\u3068\u3082\u591a\u3044\u3067\u3059\u3002
\n\u201dIn both contexts it refers to simplifying a complicated problem by breaking it down into simpler sub-problems in a recursive manner.\u201d
\ncontext \u6587\u8108
\nrecursive \u56de\u5e30\u7684
\n“If sub-problems can be nested recursively inside larger problems, so that dynamic programming methods are applicable, then there is a relation between the value of the larger problem and the values of the sub-problems. In the optimization literature this relationship is called the Bellman equation. ”
\nnested \u5165\u308c\u5b50\u306b\u306a\u3063\u3066\u3044\u308b
\nin the optimization literature this… \u6700\u9069\u5236\u5fa1\u95a2\u9023\u306e\u6587\u732e\u3067\u306f\u3053\u306e\u95a2\u4fc2\u5f0f\u3092\u30d9\u30eb\u30de\u30f3\u65b9\u7a0b\u5f0f\u3068\u547c\u3076\u3002
\n\u201dIn economics, the objective is generally to maximize (rather than minimize) some dynamic social welfare function.\u201d
\neconomics \u7d4c\u6e08\u5b66
\nobjective \u76ee\u6a19
\nsome dynamic social welfare function \u4f55\u3089\u304b\u306e\u52d5\u7684\u306a\u793e\u4f1a\u798f\u7949\u95a2\u6570<\/p>\n","protected":false},"excerpt":{"rendered":"
\u4eca\u9031\u306f\u3001Bellman\u65b9\u7a0b\u5f0f\u306e\u8a71\u3092\u3057\u307e\u3057\u3087\u3046\u3002\u4eca\u5e74\u306e\u30ce\u30fc\u30d9\u30eb\u8cde\u306eAI\u95a2\u9023\u3067\u3082\u591a\u7528\u3055\u308c\u3066\u3044\u308b\u91cd\u8981\u6982\u5ff5\u306e\u4e00\u3064\u3067\u3059\u3002\u56f2\u7881\u3084\u5c06\u68cb\u306a\u3069\u306e\u68cb\u8b5c\u3092\u5927\u91cf\u306b\u89e3\u6790\u3057\u3066\u3001\u4e0e\u3048\u3089\u308c\u305f\u5c40\u9762\u3067\u306e\u6700\u5584\u624b\u3092\u6c42\u3081\u305f\u308a\u3001\u3042\u308b\u5c40\u9762\u3067\u306e\u52dd\u7387\u3092\u8a08\u7b97\u3057\u305f\u308a\u3067\u304d\u307e\u3059\u3002\u30c6\u30ec\u30d3\u4e2d\u7d99\u306a\u3069\u3067\u300cAI\u306e\u5224\u5b9a\u3059\u308b\u52dd\u7387\u300d\u3067\u51fa\u3066\u304f\u308b\u5024\u3067\u3059\u306d\u3002\u3053\u308c\u306f\u30011953\u5e74\u306bRichard E.Bellman\u304c33\u624d\u3067\u767a\u898b\u3057\u305f\u3001\u52dd\u5229\u306b\u3064\u306a\u304c\u308b\u624b\u306e\u5fc5\u8981\u6761\u4ef6\u3092\u4e0e\u3048\u308b\u6f38\u5316\u5f0f\u3067\u3059\u3002\u5148\u3005\u9031\u304a\u4f11\u307f\u3092\u3044\u305f\u3060\u3044\u3066\u3044\u308b\u3068\u304d\u3001Bellman\u65b9\u7a0b\u5f0f\u3068\u89e3\u6790\u529b\u5b66\u306eHamilton-Jacobi\u65b9\u7a0b\u5f0f\u3068\u306e\u985e\u4f3c\u6027\u3001\u91cf\u5b50\u529b\u5b66\u3068\u306e\u95a2\u9023\u3092\u6307\u6458\u3059\u308b\u672c\u3092\u8aad\u307f\u307e\u3057\u305f\u3002\u305d\u306e\u3042\u305f\u308a\u3092\u89e3\u8aac\u3067\u304d\u308b\u3068\u3044\u3044\u3068\u601d\u3044\u307e\u3059\u3002 B…<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"om_disable_all_campaigns":false,"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"categories":[47,42],"tags":[10,5],"class_list":["post-2061","post","type-post","status-publish","format-standard","hentry","category-worldresearchinstitutes","category-tech","tag-worldresearchinstitutes","tag-tech"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.sekaiken.com\/index.php?rest_route=\/wp\/v2\/posts\/2061","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.sekaiken.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.sekaiken.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.sekaiken.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.sekaiken.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=2061"}],"version-history":[{"count":0,"href":"https:\/\/www.sekaiken.com\/index.php?rest_route=\/wp\/v2\/posts\/2061\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.sekaiken.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=2061"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.sekaiken.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=2061"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.sekaiken.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=2061"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}