{"id":7396,"date":"2025-03-28T14:09:13","date_gmt":"2025-03-28T05:09:13","guid":{"rendered":"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/?p=7396"},"modified":"2025-09-30T16:47:08","modified_gmt":"2025-09-30T07:47:08","slug":"%e5%a4%a7%e9%96%a2%e6%b3%95%e3%81%ab%e5%af%be%e3%81%99%e3%82%8b%e6%b7%b1%e5%b1%a4%e5%b1%95%e9%96%8b%e3%81%ae%e9%81%a9%e7%94%a8","status":"publish","type":"post","link":"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2025\/03\/28\/%e5%a4%a7%e9%96%a2%e6%b3%95%e3%81%ab%e5%af%be%e3%81%99%e3%82%8b%e6%b7%b1%e5%b1%a4%e5%b1%95%e9%96%8b%e3%81%ae%e9%81%a9%e7%94%a8\/","title":{"rendered":"\u5927\u95a2\u6cd5\u306b\u5bfe\u3059\u308b\u6df1\u5c64\u5c55\u958b\u306e\u9069\u7528"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_82_2 counter-hierarchy ez-toc-counter ez-toc-white ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title ez-toc-toggle\" style=\"cursor:pointer\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"Toggle Table of Content\"><span class=\"ez-toc-js-icon-con\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/span><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 ' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2025\/03\/28\/%e5%a4%a7%e9%96%a2%e6%b3%95%e3%81%ab%e5%af%be%e3%81%99%e3%82%8b%e6%b7%b1%e5%b1%a4%e5%b1%95%e9%96%8b%e3%81%ae%e9%81%a9%e7%94%a8\/#%E6%96%87%E7%8C%AE%E6%83%85%E5%A0%B1\" >\u6587\u732e\u60c5\u5831<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2025\/03\/28\/%e5%a4%a7%e9%96%a2%e6%b3%95%e3%81%ab%e5%af%be%e3%81%99%e3%82%8b%e6%b7%b1%e5%b1%a4%e5%b1%95%e9%96%8b%e3%81%ae%e9%81%a9%e7%94%a8\/#%E6%A6%82%E8%A6%81\" >\u6982\u8981<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2025\/03\/28\/%e5%a4%a7%e9%96%a2%e6%b3%95%e3%81%ab%e5%af%be%e3%81%99%e3%82%8b%e6%b7%b1%e5%b1%a4%e5%b1%95%e9%96%8b%e3%81%ae%e9%81%a9%e7%94%a8\/#%E8%83%8C%E6%99%AF\" >\u80cc\u666f<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2025\/03\/28\/%e5%a4%a7%e9%96%a2%e6%b3%95%e3%81%ab%e5%af%be%e3%81%99%e3%82%8b%e6%b7%b1%e5%b1%a4%e5%b1%95%e9%96%8b%e3%81%ae%e9%81%a9%e7%94%a8\/#%E5%A4%A7%E9%96%A2%E6%B3%95\" >\u5927\u95a2\u6cd5<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2025\/03\/28\/%e5%a4%a7%e9%96%a2%e6%b3%95%e3%81%ab%e5%af%be%e3%81%99%e3%82%8b%e6%b7%b1%e5%b1%a4%e5%b1%95%e9%96%8b%e3%81%ae%e9%81%a9%e7%94%a8\/#%E6%B7%B1%E5%B1%A4%E5%B1%95%E9%96%8B\" >\u6df1\u5c64\u5c55\u958b<\/a><ul class='ez-toc-list-level-4' ><li class='ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2025\/03\/28\/%e5%a4%a7%e9%96%a2%e6%b3%95%e3%81%ab%e5%af%be%e3%81%99%e3%82%8b%e6%b7%b1%e5%b1%a4%e5%b1%95%e9%96%8b%e3%81%ae%e9%81%a9%e7%94%a8\/#%E6%A6%82%E8%A6%81-2\" >\u6982\u8981<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2025\/03\/28\/%e5%a4%a7%e9%96%a2%e6%b3%95%e3%81%ab%e5%af%be%e3%81%99%e3%82%8b%e6%b7%b1%e5%b1%a4%e5%b1%95%e9%96%8b%e3%81%ae%e9%81%a9%e7%94%a8\/#%E5%8B%BE%E9%85%8D%E6%B3%95%E3%81%B8%E3%81%AE%E9%81%A9%E7%94%A8%E4%BE%8B\" >\u52fe\u914d\u6cd5\u3078\u306e\u9069\u7528\u4f8b<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2025\/03\/28\/%e5%a4%a7%e9%96%a2%e6%b3%95%e3%81%ab%e5%af%be%e3%81%99%e3%82%8b%e6%b7%b1%e5%b1%a4%e5%b1%95%e9%96%8b%e3%81%ae%e9%81%a9%e7%94%a8\/#%E5%AF%BE%E8%B1%A1%E3%81%A8%E3%81%99%E3%82%8B%E5%95%8F%E9%A1%8C\" >\u5bfe\u8c61\u3068\u3059\u308b\u554f\u984c<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2025\/03\/28\/%e5%a4%a7%e9%96%a2%e6%b3%95%e3%81%ab%e5%af%be%e3%81%99%e3%82%8b%e6%b7%b1%e5%b1%a4%e5%b1%95%e9%96%8b%e3%81%ae%e9%81%a9%e7%94%a8\/#%E5%AD%A6%E7%BF%92%E3%81%AE%E6%B5%81%E3%82%8C\" >\u5b66\u7fd2\u306e\u6d41\u308c<\/a><\/li><\/ul><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2025\/03\/28\/%e5%a4%a7%e9%96%a2%e6%b3%95%e3%81%ab%e5%af%be%e3%81%99%e3%82%8b%e6%b7%b1%e5%b1%a4%e5%b1%95%e9%96%8b%e3%81%ae%e9%81%a9%e7%94%a8\/#%E6%89%8B%E6%B3%95\" >\u624b\u6cd5<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2025\/03\/28\/%e5%a4%a7%e9%96%a2%e6%b3%95%e3%81%ab%e5%af%be%e3%81%99%e3%82%8b%e6%b7%b1%e5%b1%a4%e5%b1%95%e9%96%8b%e3%81%ae%e9%81%a9%e7%94%a8\/#%E5%AE%9F%E9%A8%93\" >\u5b9f\u9a13<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2025\/03\/28\/%e5%a4%a7%e9%96%a2%e6%b3%95%e3%81%ab%e5%af%be%e3%81%99%e3%82%8b%e6%b7%b1%e5%b1%a4%e5%b1%95%e9%96%8b%e3%81%ae%e9%81%a9%e7%94%a8\/#K-minimum_set_%E5%95%8F%E9%A1%8C%E3%81%AB%E3%81%8A%E3%81%91%E3%82%8B%E6%A4%9C%E8%A8%BC\" >K-minimum set \u554f\u984c\u306b\u304a\u3051\u308b\u691c\u8a3c<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-13\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2025\/03\/28\/%e5%a4%a7%e9%96%a2%e6%b3%95%e3%81%ab%e5%af%be%e3%81%99%e3%82%8b%e6%b7%b1%e5%b1%a4%e5%b1%95%e9%96%8b%e3%81%ae%e9%81%a9%e7%94%a8\/#%E7%94%BB%E5%83%8F%E5%BE%A9%E5%85%83%E5%95%8F%E9%A1%8C%E3%81%AB%E3%81%8A%E3%81%91%E3%82%8B%E6%A4%9C%E8%A8%BC\" >\u753b\u50cf\u5fa9\u5143\u554f\u984c\u306b\u304a\u3051\u308b\u691c\u8a3c<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-14\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2025\/03\/28\/%e5%a4%a7%e9%96%a2%e6%b3%95%e3%81%ab%e5%af%be%e3%81%99%e3%82%8b%e6%b7%b1%e5%b1%a4%e5%b1%95%e9%96%8b%e3%81%ae%e9%81%a9%e7%94%a8\/#%E3%81%BE%E3%81%A8%E3%82%81\" >\u307e\u3068\u3081<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-15\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2025\/03\/28\/%e5%a4%a7%e9%96%a2%e6%b3%95%e3%81%ab%e5%af%be%e3%81%99%e3%82%8b%e6%b7%b1%e5%b1%a4%e5%b1%95%e9%96%8b%e3%81%ae%e9%81%a9%e7%94%a8\/#%E3%81%82%E3%81%A8%E3%81%8C%E3%81%8D\" >\u3042\u3068\u304c\u304d<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-16\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2025\/03\/28\/%e5%a4%a7%e9%96%a2%e6%b3%95%e3%81%ab%e5%af%be%e3%81%99%e3%82%8b%e6%b7%b1%e5%b1%a4%e5%b1%95%e9%96%8b%e3%81%ae%e9%81%a9%e7%94%a8\/#%E8%A3%9C%E8%B6%B3\" >\u88dc\u8db3<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-17\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2025\/03\/28\/%e5%a4%a7%e9%96%a2%e6%b3%95%e3%81%ab%e5%af%be%e3%81%99%e3%82%8b%e6%b7%b1%e5%b1%a4%e5%b1%95%e9%96%8b%e3%81%ae%e9%81%a9%e7%94%a8\/#%E5%8F%82%E8%80%83%E6%96%87%E7%8C%AE\" >\u53c2\u8003\u6587\u732e<\/a><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"%E6%96%87%E7%8C%AE%E6%83%85%E5%A0%B1\"><\/span>\u6587\u732e\u60c5\u5831<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<ul>\n<li>\u30bf\u30a4\u30c8\u30eb\uff1aConvergence Acceleration of Markov Chain Monte Calro-based Gradient Descent by Deep Unfolding<\/li>\n<li>\u8457\u8005\uff1aRyo Hagiwara, Satoshi Takabe<\/li>\n<li>\u66f8\u8a8c\u60c5\u5831\uff08DOI\uff09\uff1a<a href=\"https:\/\/doi.org\/10.7566\/JPSJ.93.063801\">https:\/\/doi.org\/10.7566\/JPSJ.93.063801<\/a><\/li>\n<\/ul>\n<h2><span class=\"ez-toc-section\" id=\"%E6%A6%82%E8%A6%81\"><\/span>\u6982\u8981<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u7d44\u5408\u305b\u6700\u9069\u5316\u554f\u984c\u306e\u4e2d\u306b\u306f\u5236\u7d04\u3092\u6301\u3064\u7d44\u5408\u305b\u6700\u9069\u5316\u554f\u984c\u304c\u591a\u304f\u5b58\u5728\u3057\u307e\u3059\u3002\u305d\u306e\u3088\u3046\u306a\u5236\u7d04\u4ed8\u304d\u6700\u9069\u5316\u554f\u984c\u306e\u89e3\u6cd5\u3068\u3057\u3066\u5927\u95a2\u6cd5\u3068\u547c\u3070\u308c\u308b\u624b\u6cd5\u304c\u77e5\u3089\u308c\u3066\u3044\u307e\u3059\u3002\u5927\u95a2\u6cd5\u306f\u3001\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u3084\u30de\u30eb\u30b3\u30d5\u9023\u9396\u30e2\u30f3\u30c6\u30ab\u30eb\u30ed\u6cd5\u306e\u3088\u3046\u306a\u30dc\u30eb\u30c4\u30de\u30f3\u5206\u5e03\u304b\u3089\u306e\u30b5\u30f3\u30d7\u30e9\u30fc\u3068\u52fe\u914d\u6cd5\u3092\u7d44\u307f\u5408\u308f\u305b\u305f\u624b\u6cd5\u3067\u3042\u308a\u3001\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u3068\u52fe\u914d\u6cd5\u306b\u3088\u308b\u30dc\u30eb\u30c4\u30de\u30f3\u5206\u5e03\u306e\u66f4\u65b0\u3092\u53cd\u5fa9\u7684\u306b\u7e70\u308a\u8fd4\u3059\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u3067\u3059\u3002\u5927\u95a2\u6cd5\u306b\u3088\u3063\u3066\u5f97\u3089\u308c\u308b\u89e3\u306e\u7cbe\u5ea6\u306f\u3001\u5206\u5e03\u306e\u66f4\u65b0\u306e\u969b\u306b\u7528\u3044\u3089\u308c\u308b\u30b9\u30c6\u30c3\u30d7\u30b5\u30a4\u30ba\u3068\u547c\u3070\u308c\u308b\u30d1\u30e9\u30e1\u30fc\u30bf\u306b\u5927\u304d\u304f\u4f9d\u5b58\u3059\u308b\u4e00\u65b9\u3001\u53cd\u5fa9\u3054\u3068\u306e\u30b9\u30c6\u30c3\u30d7\u30b5\u30a4\u30ba\u306e\u9069\u5207\u306a\u8abf\u6574\u306f\u56f0\u96e3\u3067\u3059\u3002\u305d\u306e\u554f\u984c\u306b\u5bfe\u51e6\u3059\u308b\u305f\u3081\u306b\u3001\u672c\u8ad6\u6587\u3067\u306f\u6df1\u5c64\u5c55\u958b\u3068\u547c\u3070\u308c\u308b\u6df1\u5c64\u5b66\u7fd2\u6280\u8853\u3092\u5927\u95a2\u6cd5\u306b\u9069\u7528\u3057\u3066\u3044\u307e\u3059\u3002\u6df1\u5c64\u5c55\u958b\u306f\u3001\u5fae\u5206\u53ef\u80fd\u306a\u51e6\u7406\u306b\u3088\u3063\u3066\u69cb\u6210\u3055\u308c\u308b\u53cd\u5fa9\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306e\u5185\u90e8\u30d1\u30e9\u30e1\u30fc\u30bf\u3092\u6df1\u5c64\u5b66\u7fd2\u306b\u3088\u3063\u3066\u6700\u9069\u5316\u3059\u308b\u6280\u8853\u3067\u3059\u3002\u5927\u95a2\u6cd5\u306e\u30b9\u30c6\u30c3\u30d7\u30b5\u30a4\u30ba\u3092\u6df1\u5c64\u5c55\u958b\u306b\u3088\u3063\u3066\u6700\u9069\u5316\u3059\u308b\u3053\u3068\u306b\u3088\u308a\u3001\u30b9\u30c6\u30c3\u30d7\u30b5\u30a4\u30ba\u3092\u4e00\u5b9a\u5024\u306b\u56fa\u5b9a\u3057\u305f\u5927\u95a2\u6cd5\u306b\u6bd4\u3079\u3066\u89e3\u306e\u53ce\u675f\u304c\u52a0\u901f\u3059\u308b\u3053\u3068\u3092\u3001\u5e7e\u3064\u304b\u306e\u7b49\u5f0f\u5236\u7d04\u4ed8\u304d\u6700\u9069\u5316\u554f\u984c\u3092\u7528\u3044\u305f\u6570\u5024\u5b9f\u9a13\u306b\u3088\u308a\u78ba\u8a8d\u3057\u3066\u3044\u307e\u3059\u3002\u3053\u306e\u7814\u7a76\u306b\u3088\u308a\u3001\u5236\u7d04\u4ed8\u304d\u7d44\u5408\u305b\u6700\u9069\u5316\u554f\u984c\u306e\u30bd\u30eb\u30d0\u30fc\u306b\u5bfe\u3059\u308b\u6df1\u5c64\u5c55\u958b\u306e\u9069\u7528\u53ef\u80fd\u6027\u304c\u793a\u3055\u308c\u3066\u3044\u307e\u3059\u3002<\/p>\n<h2><span class=\"ez-toc-section\" id=\"%E8%83%8C%E6%99%AF\"><\/span>\u80cc\u666f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u3053\u3053\u3067\u306f\u3001\u5927\u95a2\u6cd5\u304a\u3088\u3073\u6df1\u5c64\u5c55\u958b\u306e\u6982\u8981\u3092\u8aac\u660e\u3057\u307e\u3059\u3002\u5927\u95a2\u6cd5\u306b\u3064\u3044\u3066\u306f<a href=\"\/T-Wave\/?p=6571\">\u672c\u30b5\u30a4\u30c8\u5185\u3067\u89e3\u8aac\u8a18\u4e8b\u304c\u516c\u958b\u3055\u308c\u3066\u3044\u308b [1]<\/a> \u305f\u3081\u3001\u3053\u3053\u3067\u306f\u624b\u6cd5\u306e\u7406\u89e3\u306b\u5fc5\u8981\u306a\u8aac\u660e\u306b\u7559\u3081\u307e\u3059\u3002<\/p>\n<h3><span class=\"ez-toc-section\" id=\"%E5%A4%A7%E9%96%A2%E6%B3%95\"><\/span>\u5927\u95a2\u6cd5<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u5927\u95a2\u6cd5\u306f\u3001\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\uff08QA\uff1aQuantum Annealing\uff09\u3092\u7528\u3044\u3066\u7b49\u5f0f\u5236\u7d04\u4ed8\u304d\u6700\u9069\u5316\u554f\u984c\u3092\u52b9\u7387\u7684\u306b\u89e3\u304f\u305f\u3081\u306b\u3001<a href=\"https:\/\/doi.org\/10.1038\/s41598-020-60022-5\">Ohzeki \u306b\u3088\u3063\u3066\u958b\u767a\u3055\u308c\u305f\u624b\u6cd5\u3067\u3059 [2]<\/a>\u3002\u7b49\u5f0f\u5236\u7d04\u4ed8\u304d\u6700\u9069\u5316\u554f\u984c\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u4e00\u822c\u7684\u306b\u8868\u73fe\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>$$<br \/>\n\\tag{1}<br \/>\n\\begin{aligned}<br \/>\n\\min_{{\\bm x}\\in\\{0,1\\}^n} \\quad &amp; f_0({\\bm x}) \\\\<br \/>\n{\\rm s.t.} \\quad &amp; f_k({\\bm x})=C_k \\quad(k=1,\\dots,m),<br \/>\n\\end{aligned}<br \/>\n$$<\/p>\n<p>\u3053\u3053\u3067\u3001\u76ee\u7684\u95a2\u6570 $f_0({\\bm x})$ \u306f\u5909\u6570 ${\\bm x}\\in\\{0,1\\}^n$ \u306e\uff11\u6b21\u307e\u305f\u306f\uff12\u6b21\u306e\u95a2\u6570\u3067\u3042\u308a\u3001\u5236\u7d04\u9805 $f_k\\ (k=1,\\dots,m)$ \u306f\uff11\u6b21\u306e\u95a2\u6570\u3067\u3059\u3002QA \u306f\uff12\u6b21\u5236\u7d04\u306a\u3057\uff12\u5024\u6700\u9069\u5316\u554f\u984c\uff08QUBO\uff1aQuadratic Unconstrained Binary Optimization\uff09\u306e\u307f\u3092\u89e3\u304f\u3053\u3068\u304c\u3067\u304d\u308b\u305f\u3081\u3001\u4e0a\u8ff0\u306e\u554f\u984c\u3092\u76f4\u63a5\u7684\u306b\u89e3\u304f\u3053\u3068\u306f\u3067\u304d\u307e\u305b\u3093\u3002\u7b49\u5f0f\u5236\u7d04\u3092\u76ee\u7684\u95a2\u6570\u306b\u542b\u3081\u308b\u5f62\u3067\u8868\u73fe\u3059\u308b\u969b\u306b\u306f\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u7f70\u91d1\u6cd5\u3092\u7528\u3044\u308b\u3053\u3068\u304c\u4e00\u822c\u7684\u3067\u3059\u3002<\/p>\n<p>$$<br \/>\n\\tag{2}<br \/>\n\\begin{aligned}<br \/>\nL({\\bm x};\\lambda) = f_0({\\bm x})+\\lambda\\sum_{k=1}^{m}\\left(f_k({\\bm x})-C_k\\right)^2<br \/>\n\\end{aligned}<br \/>\n$$<\/p>\n<p>\u5927\u95a2\u6cd5\u3067\u306f\u3001\u4e0a\u8ff0\u306e\u30b3\u30b9\u30c8\u95a2\u6570 $L({\\bm x};\\lambda) $ \u306b\u5bfe\u5fdc\u3059\u308b\u5206\u914d\u95a2\u6570 $Z=\\exp\\left(-\\beta L({\\bm x};\\lambda)\\right)$ \u306b\u5bfe\u3057\u3066\u30cf\u30d0\u30fc\u30c9\u30fb\u30b9\u30c8\u30e9\u30c8\u30ce\u30f4\u30a3\u30c3\u30c1\u5909\u63db\u3092\u9069\u7528\u3057\u3001\u305d\u306e\u904e\u7a0b\u3067\u751f\u3058\u308b\u88dc\u52a9\u5909\u6570 ${\\bm \\nu}\\in R^{m}$ \u3092\u4ee5\u4e0b\u306e\u898f\u5247\u306b\u57fa\u3065\u304d\u66f4\u65b0\u3057\u307e\u3059\u3002<\/p>\n<p>$$<br \/>\n\\tag{3}<br \/>\n\\begin{aligned}<br \/>\n\\nu_k^{(t+1)}=\\nu_{k}^{(t)}+\\eta_t \\left(C_k &#8211; \\langle f_k ({\\bm x})\\rangle_{Q({\\bm \\nu}^{(t)})}\\right) \\quad (t=0,1,\\dots),<br \/>\n\\end{aligned}<br \/>\n$$<\/p>\n<p>\u3053\u3053\u3067\u3001\u30d6\u30e9\u30b1\u30c3\u30c8$\\langle \\cdot\u00a0\\rangle_{Q({\\bm \\nu}^{(t)})}$ \u306f\u4ee5\u4e0b\u306e\u30dc\u30eb\u30c4\u30de\u30f3\u5206\u5e03 $Q({\\bm \\nu}^{(t)})$ \u4e0a\u306e\u671f\u5f85\u5024\u3092\u8868\u3057\u307e\u3059\u3002<\/p>\n<p>$$<br \/>\n\\tag{4}<br \/>\n\\begin{aligned}<br \/>\nQ({\\bm \\nu}^{(t)})=\\frac{1}{Z({\\bm \\nu}^{(t)})}\\exp \\left( -\\beta\\left(H({\\bm x},{\\bm \\nu}^{(t)})\\right)\\right),<br \/>\n\\end{aligned}<br \/>\n$$<\/p>\n<p>\u3053\u3053\u3067\u3001$Z({\\bm \\nu}^{(t)})=\\sum_{\\{\\bm x\\}}\\exp \\left( -\\beta\\left(H({\\bm x},{\\bm \\nu}^{(t)})\\right)\\right)$ \u3067\u3059\u3002\u307e\u305f\u3001\u30cf\u30df\u30eb\u30c8\u30cb\u30a2\u30f3 $H({\\bm x},{\\bm \\nu}^{(t)})$ \u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u5b9a\u7fa9\u3055\u308c\u307e\u3059\u3002<\/p>\n<p>$$<br \/>\n\\tag{5}<br \/>\n\\begin{aligned}<br \/>\nH({\\bm x},{\\bm \\nu}^{(t)})=f_0({\\bm x})-\\sum_{k=1}^{m}\\nu_{k}^{(t)}f_k({\\bm x})<br \/>\n\\end{aligned}<br \/>\n$$<\/p>\n<p>QA \u3067\u306f\u3001\u3053\u306e\u30cf\u30df\u30eb\u30c8\u30cb\u30a2\u30f3\u306e\u6700\u5c0f\u5316\u554f\u984c ${\\rm min}_{\\bm x}H({\\bm x},{\\bm \\nu}^{(t)})$ \u306e\u89e3\u3092\u30b5\u30f3\u30d7\u30eb\u30bb\u30c3\u30c8 $\\{{\\bm x}^{(t)}_1,{\\bm x}^{(t)}_2,\\dots,{\\bm x}^{(t)}_S\\}$ \u3068\u3057\u3066\u53d6\u5f97\u3057\u3001\u305d\u306e\u30b5\u30f3\u30d7\u30eb\u5e73\u5747 ${\\bm x}^{(t)}_{\\rm ave}=\\frac{1}{S}\\sum_{s=1}^{S}{\\bm x}^{(t)}_{s}$ \u3092\u7528\u3044\u308b\u3053\u3068\u3067\u66f4\u65b0\u5247\u306e $\\langle f_k ({\\bm x})\\rangle_{Q({\\bm \\nu}^{(t)})}=f_k ({\\bm x}^{(t)}_{\\rm ave})$ \u3092\u8a08\u7b97\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u5f0f (2) \u306e\u7f70\u91d1\u6cd5\u306b\u3088\u308b\u30b3\u30b9\u30c8\u95a2\u6570\u3067\u306f $f_k({\\bm x})$ \u306e\uff12\u6b21\u9805\u306b\u8d77\u56e0\u3059\u308b\u5909\u6570\u540c\u58eb\u306e\uff12\u6b21\u76f8\u4e92\u4f5c\u7528\u304c\u591a\u304f\u767a\u751f\u3057\u3001\u758e\u306a\u30cf\u30fc\u30c9\u30a6\u30a7\u30a2\u30b0\u30e9\u30d5\u3092\u6301\u3064 QA \u30de\u30b7\u30f3\u3067\u306f\u6271\u3044\u306b\u304f\u3044\u3068\u3044\u3046\u554f\u984c\u70b9\u304c\u3042\u308a\u307e\u3059\u3002\u4e00\u65b9\u3001\u5927\u95a2\u6cd5\u306b\u304a\u3051\u308b\u30cf\u30df\u30eb\u30c8\u30cb\u30a2\u30f3 $H({\\bm x},{\\bm \\nu}^{(t)})$ \u306f\u5236\u7d04\u9805\u304c\uff11\u6b21\u9805\u3067\u3042\u308b\u305f\u3081\u3001QA \u30de\u30b7\u30f3\u3067\u6271\u3044\u3084\u3059\u3044\u5f62\u5f0f\u306b\u306a\u3063\u3066\u3044\u307e\u3059\u3002<\/p>\n<p>\u305f\u3060\u3057\u3001\u671f\u5f85\u5024 $\\langle f_k ({\\bm x})\\rangle_{Q({\\bm \\nu}^{(t)})}$ \u306f\u30dc\u30eb\u30c4\u30de\u30f3\u5206\u5e03 $Q({\\bm \\nu}^{(t)})$ \u304b\u3089\u306e\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u304c\u3067\u304d\u308c\u3070\u8a08\u7b97\u3067\u304d\u308b\u305f\u3081\u3001QA \u3067\u306f\u306a\u304f\u30de\u30eb\u30b3\u30d5\u9023\u9396\u30e2\u30f3\u30c6\u30ab\u30eb\u30ed\u6cd5\uff08MCMC\uff1aMarkov-Chain Monte-Carlo\uff09\u3092\u7528\u3044\u308b\u3053\u3068\u3082\u53ef\u80fd\u3067\u3042\u308a\u3001\u672c\u8ad6\u6587\u3067\u306f\u5927\u95a2\u6cd5\u3092 MCMC \u3068\u52fe\u914d\u6cd5\u3092\u7d44\u307f\u5408\u308f\u305b\u305f\u624b\u6cd5\u3068\u3057\u3066\u5229\u7528\u3057\u3066\u3044\u307e\u3059\u3002<\/p>\n<p>\u3057\u304b\u3057\u3001\u5f0f (3) \u306e\u66f4\u65b0\u5247\u306b\u3088\u3063\u3066 $\\bm \\nu$ \u306b\u3064\u3044\u3066\u6700\u5927\u5316\u3059\u308b\u95a2\u6570\u306f\u56f0\u96e3\u306a\u975e\u51f8\u95a2\u6570\u3067\u3042\u308b\u305f\u3081\u3001\u5927\u95a2\u6cd5\u306e\u53ce\u675f\u901f\u5ea6\u3068\u89e3\u7cbe\u5ea6\u306f\u30b9\u30c6\u30c3\u30d7\u30b5\u30a4\u30ba $\\{\\eta_t\\}_{t}^{T-1}$ \u306b\u5927\u304d\u304f\u4f9d\u5b58\u3057\u307e\u3059\u3002<a href=\"https:\/\/doi.org\/10.1038\/s41598-020-60022-5\">\u5927\u95a2\u6cd5\u306e\u5143\u8ad6\u6587 [2]<\/a> \u3067\u306f\u56fa\u5b9a\u306e\u30b9\u30c6\u30c3\u30d7\u30b5\u30a4\u30ba\u304c\u7528\u3044\u3089\u308c\u3066\u3044\u307e\u3057\u305f\u304c\u3001\u53cd\u5fa9\u3054\u3068\u306b\u8abf\u6574\u3055\u308c\u305f\u30b9\u30c6\u30c3\u30d7\u30b5\u30a4\u30ba\u304c\u9069\u7528\u3055\u308c\u308b\u3053\u3068\u304c\u671b\u307e\u3057\u3044\u3067\u3059\u3002\u305d\u3053\u3067\u3001\u672c\u8ad6\u6587\u3067\u306f\u30b9\u30c6\u30c3\u30d7\u30b5\u30a4\u30ba $\\{\\eta_t\\}_{t}^{T-1}$ \u306e\u6700\u9069\u5316\u306b\u6df1\u5c64\u5c55\u958b\u3092\u9069\u7528\u3057\u3066\u3044\u307e\u3059\u3002<\/p>\n<h3><span class=\"ez-toc-section\" id=\"%E6%B7%B1%E5%B1%A4%E5%B1%95%E9%96%8B\"><\/span>\u6df1\u5c64\u5c55\u958b<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<h4><span class=\"ez-toc-section\" id=\"%E6%A6%82%E8%A6%81-2\"><\/span>\u6982\u8981<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>\u6df1\u5c64\u5c55\u958b\u306f\u3001\u52fe\u914d\u6cd5\u3092\u306f\u3058\u3081\u3068\u3059\u308b\u5fae\u5206\u53ef\u80fd\u306a\u51e6\u7406\u306b\u3088\u3063\u3066\u69cb\u6210\u3055\u308c\u308b\u53cd\u5fa9\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306e\u5185\u90e8\u30d1\u30e9\u30e1\u30fc\u30bf\u3092\u6df1\u5c64\u5b66\u7fd2\u6280\u8853\u306b\u3088\u3063\u3066\u6700\u9069\u5316\u3059\u308b\u624b\u6cd5\u3067\u3059\u3002\u6df1\u5c64\u5c55\u958b\u306e\u6982\u5ff5\u56f3\u3092\u4ee5\u4e0b\u306b\u793a\u3057\u307e\u3059\u3002<\/p>\n<div id=\"attachment_7696\" style=\"width: 1034px\" class=\"wp-caption alignnone\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-7696\" src=\"\/T-Wave\/wp-content\/uploads\/2025\/03\/9ca9fe7d5df61229709723524be797d3-1024x411.png\" alt=\"\" width=\"1024\" height=\"411\" class=\"wp-image-7696 size-large\" \/><p id=\"caption-attachment-7696\" class=\"wp-caption-text\">\u56f3 1\uff1a\u6df1\u5c64\u5c55\u958b\u306e\u6982\u5ff5\u56f3\u3002<\/p><\/div>\n<p>\u4e0a\u56f3\u304c\u793a\u3059\u3088\u3046\u306b\u3001\u6df1\u5c64\u5c55\u958b\u3067\u306f\u3001\u4f55\u3089\u304b\u306e\u51e6\u7406\u3092\u6c7a\u3081\u3089\u308c\u305f\u56de\u6570\uff08\u3053\u3053\u3067\u306f $T$ \u56de\uff09\u7e70\u308a\u8fd4\u3059\u3088\u3046\u306a\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u3092\u6642\u9593\u65b9\u5411\u306b\u5c55\u958b\u3057\u307e\u3059\u3002\u305d\u3057\u3066\u3001$t=1 \\sim T$ \u53cd\u5fa9\u306b\u304a\u3051\u308b\u5185\u90e8\u30d1\u30e9\u30e1\u30fc\u30bf\u3092$T$\u5c64\u306e\u30cb\u30e5\u30fc\u30e9\u30eb\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u3068\u307f\u306a\u3057\u3066\u5b66\u7fd2\u3057\u307e\u3059\u3002\u5b66\u7fd2\u306e\u7d50\u679c\u3068\u3057\u3066\u3001\u53cd\u5fa9\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306e\u53ce\u675f\u6027\u306e\u5411\u4e0a\u304c\u671f\u5f85\u3055\u308c\u307e\u3059\u3002\u307e\u305f\u3001\u5b66\u7fd2\u7d50\u679c\u3068\u3057\u3066\u5f97\u3089\u308c\u308b\u30d1\u30e9\u30e1\u30fc\u30bf\u306e\u30b9\u30b1\u30b8\u30e5\u30fc\u30eb\u306b\u306f\u89e3\u91c8\u6027\u304c\u3042\u308a\u3001\u5bfe\u8c61\u3068\u3057\u3066\u3044\u308b\u53cd\u5fa9\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u3067\u306e\u6700\u9069\u306a\u30b9\u30b1\u30b8\u30e5\u30fc\u30ea\u30f3\u30b0\u6226\u7565\u306e\u8003\u5bdf\u306b\u5f79\u7acb\u3066\u308b\u3053\u3068\u304c\u3067\u304d\u308b\u5834\u5408\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<h4><span class=\"ez-toc-section\" id=\"%E5%8B%BE%E9%85%8D%E6%B3%95%E3%81%B8%E3%81%AE%E9%81%A9%E7%94%A8%E4%BE%8B\"><\/span>\u52fe\u914d\u6cd5\u3078\u306e\u9069\u7528\u4f8b<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>\u3053\u3053\u3067\u306f\u3001\u52fe\u914d\u6cd5\u3092\u4f8b\u3068\u3057\u3066\u6df1\u5c64\u5c55\u958b\u306e\u9069\u7528\u65b9\u6cd5\u3092\u8ff0\u3079\u307e\u3059 [3]\u3002\u52fe\u914d\u6cd5\u306b\u3088\u3063\u3066\u5fae\u5206\u53ef\u80fd\u306a\u76ee\u7684\u95a2\u6570 $f({\\bm x}):\\ {\\mathbb R}^n \\rightarrow {\\mathbb R}$ \u306e\u6700\u5c0f\u5316\u554f\u984c\u3092\u89e3\u304f\u3053\u3068\u3092\u8003\u3048\u307e\u3059\u3002\u3053\u306e\u3068\u304d\u3001\u52fe\u914d\u6cd5\u306e\u66f4\u65b0\u5247\u306f\u6b21\u306e\u3088\u3046\u306b\u8a18\u8ff0\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>$$<br \/>\n\\tag{6}<br \/>\n\\begin{aligned}<br \/>\n{\\bm x}^{(t+1)} = {\\bm x}^{(t)} &#8211; \\eta_t \\nabla f({\\bm x}^{(t)}), \\ (t=0,1,\\dots ,T-1),<br \/>\n\\end{aligned}<br \/>\n$$<\/p>\n<p>\u3053\u3053\u3067\u3001\u30b9\u30c6\u30c3\u30d7\u30b5\u30a4\u30ba $\\{\\eta_t\\}_{t=0}^{T-1}$ \u306f\u52fe\u914d $\\nabla f({\\bm x})$ \u306b\u3088\u308b\u66f4\u65b0\u306e\u5927\u304d\u3055\u3092\u6c7a\u3081\u308b\u30cf\u30a4\u30d1\u30fc\u30d1\u30e9\u30e1\u30fc\u30bf\u3067\u3059\u3002\u52fe\u914d\u6cd5\u306e\u53ce\u675f\u6027\u306f\u3001\u3053\u306e\u30b9\u30c6\u30c3\u30d7\u30b5\u30a4\u30ba\u306e\u30b9\u30b1\u30b8\u30e5\u30fc\u30eb\u306b\u5927\u304d\u304f\u4f9d\u5b58\u3057\u307e\u3059\u3002\u305d\u3053\u3067\u3001\u3053\u306e\u30b9\u30c6\u30c3\u30d7\u30b5\u30a4\u30ba $\\{\\eta_t\\}_{t=0}^{T-1}$ \u3092\u5b66\u7fd2\u30d1\u30e9\u30e1\u30fc\u30bf\u3068\u3057\u3001\u6df1\u5c64\u5c55\u958b\u306b\u3088\u3063\u3066\u6700\u9069\u5316\u3059\u308b\u3053\u3068\u306b\u3057\u307e\u3059\u3002\u56f3 1 \u306e\u6982\u5ff5\u56f3\u3068\u898b\u6bd4\u3079\u308b\u3068\u3001\u52fe\u914d\u6cd5\u306b\u304a\u3051\u308b\u51e6\u7406\u3068\u5b66\u7fd2\u30d1\u30e9\u30e1\u30fc\u30bf\u306f\u305d\u308c\u305e\u308c\u4e0b\u56f3\u306e\u3088\u3046\u306b\u5bfe\u5fdc\u3057\u307e\u3059\u3002<\/p>\n<div id=\"attachment_7697\" style=\"width: 1034px\" class=\"wp-caption alignnone\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-7697\" src=\"\/T-Wave\/wp-content\/uploads\/2025\/03\/6c1e03e5964b289427a61eff9b9d1863-1024x511.png\" alt=\"\" width=\"1024\" height=\"511\" class=\"wp-image-7697 size-large\" \/><p id=\"caption-attachment-7697\" class=\"wp-caption-text\">\u56f3 2\uff1a\u6df1\u5c64\u5c55\u958b\u306e\u52fe\u914d\u6cd5\u3078\u306e\u9069\u7528\u4f8b\u3002<\/p><\/div>\n<h4><span class=\"ez-toc-section\" id=\"%E5%AF%BE%E8%B1%A1%E3%81%A8%E3%81%99%E3%82%8B%E5%95%8F%E9%A1%8C\"><\/span>\u5bfe\u8c61\u3068\u3059\u308b\u554f\u984c<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>\u6df1\u5c64\u5c55\u958b\u3067\u306f\u3001\u5b66\u7fd2\u30d9\u30fc\u30b9\u3067\u30d1\u30e9\u30e1\u30fc\u30bf\u3092\u6700\u9069\u5316\u3059\u308b\u305f\u3081\u3001\u5b66\u7fd2\u306e\u305f\u3081\u306e\u8a13\u7df4\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u3068\u3001\u5b66\u7fd2\u7d50\u679c\u3092\u8a55\u4fa1\u3059\u308b\u691c\u8a3c\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u304c\u7528\u610f\u3055\u308c\u3066\u3044\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u3053\u3053\u3067\u8a00\u3046\u30c7\u30fc\u30bf\u3068\u306f\u3001\u5bfe\u8c61\u306e\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u3067\u89e3\u3053\u3046\u3068\u3057\u3066\u3044\u308b\u554f\u984c\u306e\u3053\u3068\u3067\u3059\u3002\u3088\u3063\u3066\u3001\u6df1\u5c64\u5c55\u958b\u3067\u306f\u3001\u3042\u308b\u5358\u4e00\u306e\u6700\u5c0f\u5316\u554f\u984c\u3092\u89e3\u304f\u3001\u3068\u3044\u3046\u3088\u308a\u3082\u3001\u3042\u308b\u69cb\u9020\u3092\u6301\u3064\u6700\u9069\u5316\u554f\u984c\u306b\u5bfe\u3059\u308b\u5e73\u5747\u6027\u80fd\u3092\u9ad8\u3081\u308b\u3053\u3068\u3092\u76ee\u7684\u3068\u3057\u3066\u3044\u307e\u3059\u3002\u4f8b\u3048\u3070\u3001\u52fe\u914d\u6cd5\u3067\u6700\u5c0f\u5316\u3059\u308b\u76ee\u7684\u95a2\u6570 $f({\\bm x})$ \u304c\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u8a18\u8ff0\u3055\u308c\u308b\u5834\u5408\u3092\u8003\u3048\u307e\u3059\u3002<\/p>\n<p>$$<br \/>\n\\tag{7}<br \/>\n\\begin{aligned}<br \/>\nf({\\bm x}) = \\frac{1}{2}\\left\\| {\\bm y}-A{\\bm x}\\right\\|_{2}^{2}<br \/>\n\\end{aligned}<br \/>\n$$<\/p>\n<p>\u3053\u3053\u3067\u3001\u884c\u5217 $A\\in\\mathbb{R}^{m\\times n}$ \u306f\u5b9a\u6570\u884c\u5217\u3067\u3059\u3002\u305d\u3057\u3066\u3001\u30d9\u30af\u30c8\u30eb ${\\bm y}\\in \\mathbb{R}^{m}$ \u306f\u78ba\u7387 $N({\\bm 0}, {\\bm I})$ \u306b\u5f93\u3063\u3066\u751f\u6210\u3055\u308c\u308b\u3082\u306e\u3068\u3057\u307e\u3059\u3002\u3053\u306e\u3068\u304d\u3001\u30e9\u30f3\u30c0\u30e0\u306a 1 \u3064\u306e ${\\bm y}$ \u306b\u5bfe\u3059\u308b $f({\\bm x})$ \u306e\u6700\u5c0f\u5316\u554f\u984c\u304c\uff11\u3064\u306e\u30c7\u30fc\u30bf\u3068\u306a\u308a\u307e\u3059\u3002${\\bm y}$ \u3092\u30e9\u30f3\u30c0\u30e0\u306b\u591a\u6570\u751f\u6210\u3059\u308b\u3053\u3068\u3067\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u3092\u4f5c\u6210\u3057\u3001\u6df1\u5c64\u5c55\u958b\u306b\u3088\u3063\u3066\u52fe\u914d\u6cd5\u306e\u30b9\u30c6\u30c3\u30d7\u30b5\u30a4\u30ba $\\{\\eta_t\\}_{t=0}^{T-1}$ \u3092\u5b66\u7fd2\u3057\u305f\u5834\u5408\u3001\u305d\u306e\u30b9\u30c6\u30c3\u30d7\u30b5\u30a4\u30ba\u306f\u300c\u884c\u5217 $A$ \u306e\u5143\u3067\u306e\u30e9\u30f3\u30c0\u30e0\u306a\u6700\u5c0f\u4e8c\u4e57\u554f\u984c\u300d\u306b\u5bfe\u3057\u3066\u6700\u9069\u5316\u3055\u308c\u305f\u3082\u306e\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\u307e\u305f\u3001\u8a13\u7df4\u30c7\u30fc\u30bf\u3068\u3057\u3066$f({\\bm x})$ \u306e\u6700\u9069\u89e3 ${\\bm x}$ \u3092\u4e0e\u3048\u3066\u5b66\u7fd2\u3059\u308b\u5834\u5408\u3068\u3001\u6700\u9069\u89e3\u3092\u4e0e\u3048\u305a\u306b\u5b66\u7fd2\u3059\u308b\u5834\u5408\u3068\u304c\u3042\u308a\u3001\u524d\u8005\u306f\u300c\u6559\u5e2b\u3042\u308a\u5b66\u7fd2\u300d\u3068\u547c\u3070\u308c\u3001\u5f8c\u8005\u306f\u300c\u6559\u5e2b\u306a\u3057\u5b66\u7fd2\u300d\u3068\u547c\u3070\u308c\u307e\u3059\u3002<\/p>\n<h4><span class=\"ez-toc-section\" id=\"%E5%AD%A6%E7%BF%92%E3%81%AE%E6%B5%81%E3%82%8C\"><\/span>\u5b66\u7fd2\u306e\u6d41\u308c<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>\u6b21\u306b\u3001\u6df1\u5c64\u5c55\u958b\u306b\u3088\u308b\u5b66\u7fd2\u306e\u6d41\u308c\u3092\u793a\u3057\u307e\u3059\u3002\u5b66\u7fd2\u30d7\u30ed\u30bb\u30b9\u306f\u5927\u307e\u304b\u306b\u4ee5\u4e0b\u306e 5 \u30b9\u30c6\u30c3\u30d7\u306b\u5206\u3051\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u306a\u304a\u3001\u3053\u3053\u3067\u306f\u52fe\u914d\u6cd5\u3092\u4f8b\u3068\u3057\u3066\u8aac\u660e\u3057\u3066\u3044\u307e\u3059\u304c\u3001\u4ed6\u306e\u53cd\u5fa9\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u3067\u3042\u3063\u3066\u3082\u57fa\u672c\u7684\u306b\u306f\u540c\u69d8\u306e\u5b66\u7fd2\u30d7\u30ed\u30bb\u30b9\u304c\u9069\u7528\u3055\u308c\u307e\u3059\u3002<\/p>\n<ol>\n<li>\u8a13\u7df4\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u304b\u3089\u30c7\u30fc\u30bf\u3092 1 \u3064\u53d6\u308a\u51fa\u3059<\/li>\n<li>\u66ab\u5b9a\u7684\u306a\u30b9\u30c6\u30c3\u30d7\u30b5\u30a4\u30ba $\\{\\eta_t\\}_{t=0}^{T-1}$ \u306b\u3088\u3063\u3066\u52fe\u914d\u6cd5\u3092\u5b9f\u884c\u3057\u3001\u89e3 ${\\bm x}$ \u3092\u5f97\u308b<\/li>\n<li>\u89e3 ${\\bm x}$ \u304b\u3089\u640d\u5931\u95a2\u6570 $L$ \u3092\u8a55\u4fa1\u3059\u308b<\/li>\n<li>\u640d\u5931\u95a2\u6570\u306e\u5b66\u7fd2\u30d1\u30e9\u30e1\u30fc\u30bf\u306b\u3088\u308b\u52fe\u914d $\\{\\frac{\\partial L}{\\partial \\eta_t}\\}_{t=0}^{T-1}$ \u3092\u6c42\u3081\u308b<\/li>\n<li>\u5b66\u7fd2\u30d1\u30e9\u30e1\u30fc\u30bf $\\{\\eta_t\\}_{t=0}^{T-1}$ \u3092\u6700\u9069\u5316\u3059\u308b\uff08\u30b9\u30c6\u30c3\u30d7 1. \u306b\u623b\u308b\uff09<\/li>\n<\/ol>\n<p>\u307e\u305a\u3001\u30b9\u30c6\u30c3\u30d7 1. \u3067\u306f\u3001\u8a13\u7df4\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u304b\u3089\u30c7\u30fc\u30bf\u3092\uff11\u3064\u53d6\u308a\u51fa\u3057\u307e\u3059\u3002\u6b21\u306b\u3001\u30b9\u30c6\u30c3\u30d7 2. \u3067\u306f\u3001\u66ab\u5b9a\u7684\u306a\u30b9\u30c6\u30c3\u30d7\u30b5\u30a4\u30ba $\\{\\eta_t\\}_{t=0}^{T-1}$ \u3092\u7528\u3044\u3066 $T$ \u53cd\u5fa9\u306e\u52fe\u914d\u6cd5\u3092\u5b9f\u884c\u3057\u3001\u89e3 ${\\bm x}$ \u3092\u5f97\u307e\u3059\u3002\u305d\u3057\u3066\u3001\u30b9\u30c6\u30c3\u30d7 3. \u3067\u306f\u3001\u89e3 ${\\bm x}$ \u3092\u3082\u3068\u306b\u5b66\u7fd2\u304c\u3069\u308c\u3060\u3051\u6210\u529f\u3057\u3066\u3044\u308b\u304b\u3092\u640d\u5931\u95a2\u6570 $L$ \u3067\u8a55\u4fa1\u3057\u307e\u3059\u3002\u640d\u5931\u95a2\u6570\u306f\u3001\u6559\u5e2b\u3042\u308a\u5b66\u7fd2\u306e\u5834\u5408\u306b\u306f\u6700\u9069\u89e3 ${\\bm x}^{\\ast}$ \u306b\u5bfe\u3059\u308b\u8aa4\u5dee\u304c\u7528\u3044\u3089\u308c\u307e\u3059\u3002\u4e00\u65b9\u3067\u3001\u6559\u5e2b\u306a\u3057\u5b66\u7fd2\u306e\u5834\u5408\u306b\u306f\u3001\u554f\u984c\u8a2d\u5b9a\u306b\u5fdc\u3058\u305f\u6307\u6a19\u304c\u7528\u3044\u3089\u308c\u307e\u3059\u3002\u4eca\u56de\u306e\u52fe\u914d\u6cd5\u306e\u4f8b\u3067\u3042\u308c\u3070\u3001\u89e3 ${\\bm x}$ \u306b\u5bfe\u3059\u308b\u76ee\u7684\u95a2\u6570\u5024 $f({\\bm x})$ \u304c\u7528\u3044\u3089\u308c\u308b\u3053\u3068\u304c\u3042\u308a\u307e\u3059\u3002\u7d9a\u3044\u3066\u3001\u30b9\u30c6\u30c3\u30d7 4. \u3067\u306f\u3001\u640d\u5931\u95a2\u6570 $L$ \u306e\u5b66\u7fd2\u30d1\u30e9\u30e1\u30fc\u30bf $\\{\\eta_t\\}_{t=0}^{T-1}$ \u306b\u3088\u308b\u52fe\u914d $\\{\\frac{\\partial L}{\\partial \\eta_t}\\}_{t=0}^{T-1}$ \u3092\u6c42\u3081\u307e\u3059\u3002\u3053\u306e\u8a08\u7b97\u306b\u306f\u8aa4\u5dee\u9006\u4f1d\u64ad\u6cd5\u304c\u7528\u3044\u3089\u308c\u308b\u3053\u3068\u304c\u4e00\u822c\u7684\u3067\u3059\u3002\u305d\u3057\u3066\u3001\u30b9\u30c6\u30c3\u30d7 5. \u3067\u306f\u3001$\\{\\frac{\\partial L}{\\partial \\eta_t}\\}_{t=0}^{T-1}$ \u3092\u7528\u3044\u3066\u5b66\u7fd2\u30d1\u30e9\u30e1\u30fc\u30bf $\\{\\eta_t\\}_{t=0}^{T-1}$ \u3092\u6700\u9069\u5316\u3057\u307e\u3059\u3002\u3053\u306e\u6700\u9069\u5316\u306b\u306f Adam \u306a\u3069\u306e\u6700\u9069\u5316\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u304c\u7528\u3044\u3089\u308c\u307e\u3059\u3002<\/p>\n<p>\u4ee5\u4e0a\u306e\u30b9\u30c6\u30c3\u30d7 1. ~ 5. \u304c\u30011 \u3064\u306e\u8a13\u7df4\u30c7\u30fc\u30bf\u3092\u7528\u3044\u305f\u5b66\u7fd2\u306e\u6d41\u308c\u306b\u306a\u308a\u307e\u3059\u3002\u30b9\u30c6\u30c3\u30d7 5. \u3067\u6700\u9069\u5316\u3055\u308c\u305f\u30b9\u30c6\u30c3\u30d7\u30b5\u30a4\u30ba\u3092\u7528\u3044\u3066\u3001\u65b0\u305f\u306a\u8a13\u7df4\u30c7\u30fc\u30bf\u306b\u5bfe\u3057\u3066\u518d\u5ea6\u30b9\u30c6\u30c3\u30d7 1. ~ 5. \u3092\u7e70\u308a\u8fd4\u3059\u3053\u3068\u3067\u5b66\u7fd2\u304c\u9032\u884c\u3057\u307e\u3059\u3002\u640d\u5931\u95a2\u6570\u304c\u5341\u5206\u306b\u5c0f\u3055\u304f\u306a\u3063\u305f\u308a\u3001\u3053\u308c\u4ee5\u4e0a\u306e\u6539\u5584\u304c\u898b\u8fbc\u3081\u306a\u304f\u306a\u3063\u305f\u308a\u3057\u305f\u6642\u306b\u5b66\u7fd2\u3092\u6253\u3061\u5207\u308a\u3001\u6700\u7d42\u7684\u306a\u5b66\u7fd2\u30d1\u30e9\u30e1\u30fc\u30bf $\\{\\eta_t\\}_{t=0}^{T-1}$ \u3092\u51fa\u529b\u3068\u3057\u307e\u3059\u3002<\/p>\n<h2><span class=\"ez-toc-section\" id=\"%E6%89%8B%E6%B3%95\"><\/span>\u624b\u6cd5<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>3.1. \u7bc0\u3067\u8ff0\u3079\u305f\u3088\u3046\u306b\u3001\u5927\u95a2\u6cd5\u306e\u53ce\u675f\u901f\u5ea6\u306f\u30b9\u30c6\u30c3\u30d7\u30b5\u30a4\u30ba\u306b\u5927\u304d\u304f\u4f9d\u5b58\u3057\u307e\u3059\u304c\u3001\u305d\u306e\u8abf\u6574\u306f\u56f0\u96e3\u3067\u3059\u3002\u305d\u306e\u554f\u984c\u306b\u5bfe\u51e6\u3059\u308b\u305f\u3081\u306b\u3001\u672c\u8ad6\u6587\u3067\u306f\u30b9\u30c6\u30c3\u30d7\u30b5\u30a4\u30ba\u306e\u6700\u9069\u5316\u306b\u6df1\u5c64\u5c55\u958b\u3092\u9069\u7528\u3057\u3066\u3044\u307e\u3059\u3002\u8ad6\u6587\u4e2d\u3067\u306f\u3001\u3053\u306e\u63d0\u6848\u624b\u6cd5\u3092DUOM\uff08Deep Unfolded Ohzeki Method\uff09\u3068\u8aad\u3093\u3067\u3044\u307e\u3059\u3002\u56f3 2 \u306b\u5bfe\u5fdc\u3055\u305b\u308b\u5f62\u3067 DUOM \u306e\u30a4\u30e1\u30fc\u30b8\u3092\u8868\u73fe\u3057\u305f\u3082\u306e\u3092\u4ee5\u4e0b\u306b\u793a\u3057\u307e\u3059\u3002<\/p>\n<div id=\"attachment_7698\" style=\"width: 1034px\" class=\"wp-caption alignnone\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-7698\" src=\"\/T-Wave\/wp-content\/uploads\/2025\/03\/c37f155cebb9861375206e7dc487e8c6-1024x471.png\" alt=\"\" width=\"1024\" height=\"471\" class=\"wp-image-7698 size-large\" \/><p id=\"caption-attachment-7698\" class=\"wp-caption-text\">\u56f3 3\uff1a\u5927\u95a2\u6cd5\u3078\u306e\u6df1\u5c64\u5c55\u958b\u306e\u9069\u7528\uff08\u56f3 1 \u3068\u306e\u5bfe\u5fdc\u95a2\u4fc2\uff09\u3002<\/p><\/div>\n<p>\u30d1\u30e9\u30e1\u30fc\u30bf $\\{\\eta_t\\}_{t=0}^{T-1}$ \u306e\u5b66\u7fd2\u306e\u305f\u3081\u306b\u306f\u640d\u5931\u95a2\u6570 $L$ \u3092\u5b9a\u7fa9\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u672c\u8ad6\u6587\u3067\u306f\u3001\u73fe\u5b9f\u7684\u306a\u72b6\u6cc1\u3092\u60f3\u5b9a\u3057\u3001\u5bfe\u8c61\u3068\u3059\u308b\u7b49\u5f0f\u5236\u7d04\u4ed8\u304d\u7d44\u5408\u305b\u6700\u9069\u5316\u554f\u984c\u306e\u6700\u9069\u89e3\u306f\u4e0e\u3048\u3089\u308c\u306a\u3044\u3082\u306e\u3068\u3057\u307e\u3059\uff08\u6559\u5e2b\u306a\u3057\u5b66\u7fd2\uff09\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u640d\u5931\u95a2\u6570\u3068\u3057\u3066\u6700\u9069\u89e3\u306b\u5bfe\u3059\u308b\u8aa4\u5dee\u3092\u7528\u3044\u308b\u3053\u3068\u306f\u3067\u304d\u307e\u305b\u3093\u3002\u305d\u3053\u3067\u3001\u672c\u8ad6\u6587\u3067\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u640d\u5931\u95a2\u6570 $L$ \u3092\u5b9a\u7fa9\u3057\u3066\u3044\u307e\u3059\u3002<\/p>\n<p>$$<br \/>\n\\tag{8}<br \/>\n\\begin{aligned}<br \/>\nL \\equiv \\left\\langle L({\\bm x},\\lambda )\\right\\rangle_{Q({\\bm \\nu}^{(T)})}<br \/>\n\\end{aligned}<br \/>\n$$<\/p>\n<p>\u3053\u308c\u306f\u3001\u5f0f (2) \u3067\u5b9a\u7fa9\u3057\u305f\u30b3\u30b9\u30c8\u95a2\u6570 $L({\\bm x},\\lambda )$ \u306e\u6700\u7d42\u53cd\u5fa9 $T$ \u306b\u304a\u3051\u308b\u30b5\u30f3\u30d7\u30eb\u5e73\u5747\u3092\u8868\u3057\u307e\u3059\u3002\u3088\u3063\u3066\u3001\u76ee\u7684\u95a2\u6570 $f_0({\\bm x})$ \u306e\u6700\u5c0f\u5316\u3068\u7b49\u5f0f\u5236\u7d04 $f_k({\\bm x})=C_k$ \u306e\u5145\u8db3\u304c\u540c\u6642\u306b\u9054\u6210\u3055\u308c\u305f\u3068\u304d\u306b\u640d\u5931\u95a2\u6570 $L$ \u306f\u5c0f\u3055\u304f\u306a\u308a\u307e\u3059\u3002\u3053\u308c\u306b\u3088\u308a\u3001\u5b66\u7fd2\u306e\u6210\u529f\u5ea6\u5408\u3044\u3092\u8868\u73fe\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\u6b21\u306b\u3001\u5b66\u7fd2\u30d1\u30e9\u30e1\u30fc\u30bf $\\{\\eta_t\\}_{t=0}^{T-1}$ \u306e\u6700\u9069\u5316\u306e\u305f\u3081\u306b\u5fc5\u8981\u306a\u640d\u5931\u95a2\u6570\u306e\u52fe\u914d $\\left\\{ \\frac{\\partial L}{\\partial \\eta_t}\\right\\}_{t=0}^{T-1}$ \u306b\u3064\u3044\u3066\u8003\u3048\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u5404\u53cd\u5fa9 $t$ \u306b\u304a\u3051\u308b\u52fe\u914d $\\frac{\\partial L}{\\partial \\eta_t}$ \u306f\u8aa4\u5dee\u9006\u4f1d\u64ad\u6cd5\u306b\u3088\u3063\u3066\u8a08\u7b97\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002DUOM \u306b\u304a\u3051\u308b\u8aa4\u5dee\u9006\u4f1d\u64ad\u6cd5\u306e\u9023\u9396\u7387\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u8a18\u8ff0\u3055\u308c\u307e\u3059\u3002<\/p>\n<p>$$<br \/>\n\\tag{9}<br \/>\n\\begin{aligned}<br \/>\n\\frac{\\partial L}{\\partial \\eta_t}=\\sum_{k=1}^{m}\\frac{\\partial L}{\\partial \\nu_k^{(T)}}\\left(\\prod_{u=t+1}^{T-1}\\frac{\\partial \\nu_k^{(u+1)}}{\\partial \\nu_k^{(u)}}\\right)\\frac{\\partial \\nu_k^{(t+1)}}{\\partial \\eta_t}<br \/>\n\\end{aligned}<br \/>\n$$<\/p>\n<p>\u4f8b\u3048\u3070\u3001\u5236\u7d04\u6570 $m=1$\u3001\u7dcf\u30b9\u30c6\u30c3\u30d7\u6570 $T=5$ \u306e\u5834\u5408\u3001\u53cd\u5fa9 $t=2$ \u306b\u304a\u3051\u308b\u52fe\u914d $\\frac{\\partial L}{\\partial \\eta_2}$ \u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>$$<br \/>\n\\tag{10}<br \/>\n\\begin{aligned}<br \/>\n\\frac{\\partial L}{\\partial \\eta_2}=\\frac{\\partial L}{\\partial \\nu_1^{(5)}} \\frac{\\partial \\nu_1^{(5)}}{\\partial \\nu_1^{(4)}} \\frac{\\partial \\nu_1^{(4)}}{\\partial \\nu_1^{(3)}} \\frac{\\partial \\nu_1^{(3)}}{\\partial \\eta_2}<br \/>\n\\end{aligned}<br \/>\n$$<\/p>\n<p>\u3059\u306a\u308f\u3061\u3001\u640d\u5931\u95a2\u6570 $L$ \u306e ${\\partial \\nu_1^{(5)}}$\uff08\u6700\u7d42\u53cd\u5fa9 $T=5$ \u306b\u304a\u3051\u308b\u88dc\u52a9\u5909\u6570 $\\nu_1^{(5)}$ \u306b\u3088\u308b\u504f\u5fae\u5206\uff09\u304b\u3089\u88dc\u52a9\u5909\u6570\u540c\u58eb\u306e\u504f\u5fae\u5206\u3078\u3068\u9023\u9396\u3057\u3001\u6700\u7d42\u7684\u306b\u53cd\u5fa9 $t=2$ \u306b\u304a\u3051\u308b\u30b9\u30c6\u30c3\u30d7\u30b5\u30a4\u30ba $\\eta_2$ \u306b\u3088\u308b\u504f\u5fae\u5206\u307e\u3067\u9006\u4f1d\u64ad\u3057\u307e\u3059\u3002\u5171\u901a\u3059\u308b\u504f\u5fae\u5206\u3092\u7d04\u5206\u3057\u3066\u3044\u304f\u3068\u3001\u5206\u5b50\u306b $\\partial L$\u3001\u5206\u6bcd\u306b $\\partial \\eta_2$ \u304c\u6b8b\u308a\u3001\u6240\u671b\u306e\u52fe\u914d\u306b\u5bfe\u5fdc\u3059\u308b\u3053\u3068\u304c\u5206\u304b\u308a\u307e\u3059\u3002<\/p>\n<p>\u6b21\u306b\u3001\u5f0f (9) \u306b\u542b\u307e\u308c\u308b\u5404\u504f\u5fae\u5206\u3092\u5177\u4f53\u7684\u306b\u66f8\u304d\u4e0b\u3059\u3068\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>$$<br \/>\n\\tag{10}<br \/>\n\\begin{aligned}<br \/>\n\\frac{\\partial L}{\\partial \\nu_k^{(T)}}=\\frac{\\partial}{\\partial \\nu_k^{(T)}}\\left\\langle L({\\bm x}, \\lambda)\\right\\rangle_{Q({\\bm \\nu}^({T}))}<br \/>\n\\end{aligned}<br \/>\n$$<\/p>\n<p>$$<br \/>\n\\tag{11}<br \/>\n\\begin{aligned}<br \/>\n\\frac{\\partial \\nu_k^{(u+1)}}{\\partial \\nu_k^{(u)}}=\\frac{\\partial}{\\partial \\nu_k^{(u)}}\\left(\\nu_{k}^{(u)}+\\eta_u \\left(C_k &#8211; \\langle f_k ({\\bm x})\\rangle_{Q({\\bm \\nu}^{(u)})}\\right)\\right)=1-\\eta_u\\frac{\\partial \\langle f_k({\\bm x})\\rangle_{Q({\\bm \\nu}^{(u)})}}{\\partial \\nu_k^{(u)}}<br \/>\n\\end{aligned}<br \/>\n$$<\/p>\n<p>$$<br \/>\n\\tag{12}<br \/>\n\\begin{aligned}<br \/>\n\\frac{\\partial \\nu_k^{(t+1)}}{\\partial \\eta_t}=\\frac{\\partial}{\\partial \\eta_t}\\left(\\nu_{k}^{(t)}+\\eta_t \\left(C_k &#8211; \\langle f_k ({\\bm x})\\rangle_{Q({\\bm \\nu}^{(t)})}\\right)\\right)=C_k-\\langle f_k({\\bm x})\\rangle_{Q({\\bm \\nu}^{(t)})}<br \/>\n\\end{aligned}<br \/>\n$$<\/p>\n<p>\u5f0f (10) \u304a\u3088\u3073\u5f0f (11) \u306b\u306f\u3001\u671f\u5f85\u5024\u306e\u5fae\u5206\u304c\u542b\u307e\u308c\u3066\u3044\u308b\u3053\u3068\u304c\u5206\u304b\u308a\u307e\u3059\u3002\u3053\u306e\u671f\u5f85\u5024\u306f\u3001MCMC \u306e\u5fae\u5206\u4e0d\u53ef\u80fd\u306a\u51e6\u7406\uff08\u30e1\u30c8\u30ed\u30dd\u30ea\u30b9\u6cd5\u306e\u63a1\u629e\u30fb\u68c4\u5374\u8a08\u7b97\uff09\u3092\u7d4c\u3066\u8a08\u7b97\u3055\u308c\u308b\u3053\u3068\u304b\u3089\u3001\u8aa4\u5dee\u9006\u4f1d\u64ad\u6cd5\u306b\u901a\u5e38\u7528\u3044\u3089\u308c\u308b\u81ea\u52d5\u5fae\u5206\uff08\u640d\u5931\u95a2\u6570\u5024\u304b\u3089\u3001\u305d\u306e\u52fe\u914d\u3092\u6a5f\u68b0\u7684\u306b\u6c42\u3081\u308b\u65b9\u6cd5\u3002PyTorch \u3067\u306f loss.backward() \u3068\u8a18\u8ff0\u3059\u308b\u3053\u3068\u3067\u81ea\u52d5\u7684\u306b\u5fae\u5206\u51e6\u7406\u304c\u884c\u308f\u308c\u3001\u8aa4\u5dee\u9006\u4f1d\u64ad\u6cd5\u304c\u5b9f\u884c\u3055\u308c\u308b\uff09\u3092\u9069\u7528\u3059\u308b\u3068\u5b66\u7fd2\u306b\u5931\u6557\u3057\u3066\u3057\u307e\u3044\u307e\u3059\u3002\u3057\u304b\u3057\u3001\u3053\u308c\u3089\u306e\u671f\u5f85\u5024\u306e\u5fae\u5206\u306f\u3055\u3089\u306b\u8a08\u7b97\u3092\u9032\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u3001\u305d\u306e\u7d50\u679c\u3068\u3057\u3066\u81ea\u52d5\u5fae\u5206\u306e\u554f\u984c\u3092\u56de\u907f\u3067\u304d\u308b\u3053\u3068\u304c\u5206\u304b\u308a\u307e\u3059\u3002<\/p>\n<p>\u307e\u305a\u3001\u640d\u5931\u95a2\u6570 $L$ \u306e\u671f\u5f85\u5024\u306e\u5fae\u5206\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u8a08\u7b97\u3055\u308c\u307e\u3059\uff08\u8a08\u7b97\u904e\u7a0b\u306f\u4ed8\u9332\u306b\u8a18\u8f09\u3057\u3066\u3044\u307e\u3059\uff09\u3002<\/p>\n<p>$$<br \/>\n\\tag{13}<br \/>\n\\begin{aligned}<br \/>\n\\frac{\\partial}{\\partial \\nu_k}\\langle L({\\bm x}, \\lambda)\\rangle=\\beta\\left(\\left\\langle L({\\bm x}, \\lambda)\\right\\rangle \\left\\langle\\frac{\\partial H}{\\partial \\nu_k}\\right\\rangle &#8211; \\left\\langle L({\\bm\u00a0 x}, \\lambda)\\frac{\\partial H}{\\partial \\nu_k}\\right\\rangle\\right)=\\beta\\left(\\left\\langle f_k({\\bm x})L({\\bm x}, \\lambda)\\right\\rangle &#8211; \\left\\langle L({\\bm x}, \\lambda)\\right\\rangle \\left\\langle f_k({\\bm x})\\right\\rangle\\right)<br \/>\n\\end{aligned}<br \/>\n$$<\/p>\n<p>\u6b21\u306b\u3001\u5236\u7d04\u9805 $f_k({\\bm x})$ \u306e\u671f\u5f85\u5024\u306e\u5fae\u5206\u306b\u3064\u3044\u3066\u3082\u540c\u69d8\u306b\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u8a08\u7b97\u3055\u308c\u307e\u3059\u3002<\/p>\n<p>$$<br \/>\n\\tag{14}<br \/>\n\\begin{aligned}<br \/>\n\\frac{\\partial \\langle f_k({\\bm x})\\rangle}{\\partial \\nu_k}=\\beta\\left(\\left\\langle f_k({\\bm x})\\right\\rangle \\left\\langle\\frac{\\partial H}{\\partial \\nu_k}\\right\\rangle &#8211; \\left\\langle f_k({\\bm x})\\frac{\\partial H}{\\partial \\nu_k}\\right\\rangle\\right)=\\beta\\left(\\left\\langle f_{k}^2 ({\\bm x}) \\right\\rangle &#8211; \\left\\langle f_k({\\bm x}) \\right\\rangle^2 \\right)<br \/>\n\\end{aligned}<br \/>\n$$<\/p>\n<p>\u3059\u306a\u308f\u3061\u3001\u671f\u5f85\u5024\u306e\u5fae\u5206\u306f $\\langle a \\rangle \\langle b \\rangle &#8211; \\langle a b \\rangle$ \u3068\u3044\u3046\u5206\u6563\u306e\u5f62\u3067\u8a18\u8ff0\u3067\u304d\u308b\u3053\u3068\u304c\u5206\u304b\u308a\u307e\u3059\u3002\u305d\u3057\u3066\u3053\u306e\u5206\u6563\u306f\u3001\u5927\u95a2\u6cd5\u3092 $T$ \u53cd\u5fa9\u5b9f\u884c\u3059\u308b\u904e\u7a0b\uff08\u9806\u65b9\u5411\u8a08\u7b97\uff09\u306e\u7d50\u679c\u304b\u3089\u6c42\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001DUOM \u306b\u304a\u3051\u308b\u8aa4\u5dee\u9006\u4f1d\u64ad\u6cd5\u3067\u306f\u3001\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u7d50\u679c\u304b\u3089\u5206\u6563\u3092\u63a8\u5b9a\u3059\u308b\u3053\u3068\u3067\u3001\u81ea\u52d5\u5fae\u5206\u3092\u56de\u907f\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u30d1\u30e9\u30e1\u30fc\u30bf\u306e\u5b66\u7fd2\u30d7\u30ed\u30bb\u30b9\uff08\u9006\u65b9\u5411\u8a08\u7b97\uff09\u306e\u305f\u3081\u306b\u8ffd\u52a0\u306e\u8a08\u7b97\u304c\u5fc5\u8981\u306a\u3044\u70b9\u306f\u3001\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u3092\u5fdc\u7528\u3057\u305f DUOM \u306e\u7279\u5fb4\u3067\u3059\u3002<\/p>\n<p>\u4ee5\u4e0b\u306e\u56f3 4 \u306b\u3001DUOM \u306e\u5168\u4f53\u50cf\u3092\u793a\u3057\u307e\u3059\u3002<\/p>\n<div id=\"attachment_7444\" style=\"width: 1034px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-7444\" src=\"\/T-Wave\/wp-content\/uploads\/2024\/11\/5e880b90982082412ba6e21390a0c4d9-1024x510.png\" alt=\"\" width=\"1024\" height=\"510\" class=\"wp-image-7444 size-large\" \/><p id=\"caption-attachment-7444\" class=\"wp-caption-text\">\u56f3 4\uff1aDUOM \u306e\u5168\u4f53\u50cf\uff08DOI\uff1a<a href=\"https:\/\/doi.org\/10.7566\/JPSJ.93.063801\">https:\/\/doi.org\/10.7566\/JPSJ.93.063801<\/a>\uff09\u3002<\/p><\/div>\n<p>\u4e0a\u56f3\u3067\u306f\u3001\u53f3\u306b\u5411\u304b\u3046\u77e2\u5370\u3067\u9806\u65b9\u5411\u8a08\u7b97\u304c\u8868\u3055\u308c\u3001\u5de6\u306b\u5411\u304b\u3046\u77e2\u5370\u3067\u9006\u65b9\u5411\u8a08\u7b97\u304c\u8868\u3055\u308c\u3066\u3044\u307e\u3059\u3002 $t$ \u53cd\u5fa9\u76ee\u306b\u7740\u76ee\u3059\u308b\u3068\u3001MCMC \u306b\u3088\u3063\u3066\u5f97\u3089\u308c\u305f\u5206\u6563 $V$ \u304c\u3001\u9006\u4f1d\u64ad\u306b\u304a\u3051\u308b\u9023\u9396\u7387\u306e\u8a08\u7b97\u306b\u5229\u7528\u3055\u308c\u308b\u3053\u3068\u304b\u3089\u4e0b\u306b\u77e2\u5370\u304c\u4f38\u3073\u3066\u3044\u308b\u3053\u3068\u304c\u5206\u304b\u308a\u307e\u3059\u3002\u307e\u305f\u3001\u52fe\u914d\u6cd5\uff08GD\uff1aGradient Descent\uff09\u306b\u304a\u3051\u308b\u30b9\u30c6\u30c3\u30d7\u30b5\u30a4\u30ba $\\eta_{t-1}$ \u306f\u3001\u640d\u5931\u95a2\u6570\u306e\u52fe\u914d $\\frac{\\partial L}{\\partial \\eta_{t-1}}$ \u3092\u7528\u3044\u3066\u6700\u9069\u5316\u3055\u308c\u308b\u3053\u3068\u304b\u3089\u4e0a\u306b\u77e2\u5370\u304c\u4f38\u3073\u3066\u3044\u308b\u3053\u3068\u304c\u5206\u304b\u308a\u307e\u3059\u3002<\/p>\n<h2><span class=\"ez-toc-section\" id=\"%E5%AE%9F%E9%A8%93\"><\/span>\u5b9f\u9a13<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u3053\u3053\u3067\u306f\u3001\u63d0\u6848\u624b\u6cd5\u3067\u3042\u308b DUOM \u306e\u53ce\u675f\u6027\u3092\uff12\u3064\u306e\u6700\u9069\u5316\u554f\u984c\u3067\u691c\u8a3c\u3057\u305f\u7d50\u679c\u3092\u793a\u3057\u307e\u3059\u3002<\/p>\n<h3><span class=\"ez-toc-section\" id=\"K-minimum_set_%E5%95%8F%E9%A1%8C%E3%81%AB%E3%81%8A%E3%81%91%E3%82%8B%E6%A4%9C%E8%A8%BC\"><\/span>K-minimum set \u554f\u984c\u306b\u304a\u3051\u308b\u691c\u8a3c<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u6700\u521d\u306e\u4f8b\u984c\u306f K-minimum set \u3068\u547c\u3070\u308c\u308b\u554f\u984c\u3067\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u5b9a\u7fa9\u3055\u308c\u307e\u3059\u3002<\/p>\n<p>$$<br \/>\n\\tag{15}<br \/>\n\\begin{aligned}<br \/>\n\\min_{{\\bm x}\\in\\{0,1\\}^N} \\quad &amp; \\sum_{i=1}^{N}h_i x_i \\\\<br \/>\n{\\rm s.t.} \\quad &amp; \\sum_{i=1}^{N}x_i =K,<br \/>\n\\end{aligned}<br \/>\n$$<\/p>\n<p>\u3053\u306e\u554f\u984c\u306f$N$ \u500b\u306e\u6570\u5b57\u306e\u4e2d\u304b\u3089 $K$ \u500b\u3092\u9078\u3073\uff0c\u305d\u306e\u548c\u304c\u6700\u5c0f\u306b\u306a\u308b\u6570\u5b57\u306e\u7d44\u5408\u305b\u3092\u63a2\u3059\u554f\u984c\u3067\u3059\u3002${\\bm h}=(h_1 , \\dots, h_N)$ \u304c $N$ \u500b\u306e\u6570\u5b57\u306e\u30ea\u30b9\u30c8\u3092\u8868\u3057\u3001\u5404 $h_i$ \u306f\u6a19\u6e96\u6b63\u898f\u5206\u5e03\u304b\u3089\u30e9\u30f3\u30c0\u30e0\u306b\u751f\u6210\u3055\u308c\u307e\u3059\u3002\u5f0f (1) \u306b\u5408\u308f\u305b\u308b\u3068 $f_0 ({\\bm x})=\\sum_i h_i x_i$\u3001$f_1 ({\\bm x}) = \\sum_i x_i , C_1 = K$ \u3068\u306a\u308a\u307e\u3059\u3002K-minimum set \u306b\u304a\u3044\u3066\u306f $\\bm h$ \u306e\u5c0f\u3055\u3044\u65b9\u304b\u3089 $K$ \u500b\u307e\u3067\u306e\u6570\u5b57\u3092\u8db3\u3057\u5408\u308f\u305b\u305f\u3082\u306e\u304c $f_0 ({\\bm x})$ \u306e\u6700\u9069\u5024\u3067\u3059\u3002<\/p>\n<p>K-minimum set \u554f\u984c\u306b\u304a\u3051\u308b\u5b9f\u9a13\u8a2d\u5b9a\u306f\u4ee5\u4e0b\u306e\u901a\u308a\u3067\u3059\uff1a<\/p>\n<ul>\n<li>\u554f\u984c\u30d1\u30e9\u30e1\u30fc\u30bf\uff1a$N=2000, K=50, \\beta=1000$<\/li>\n<li>\u8a13\u7df4\u30c7\u30fc\u30bf\uff1a\u30e9\u30f3\u30c0\u30e0\u30d9\u30af\u30c8\u30eb ${\\bm h}$<\/li>\n<li>\u5b66\u7fd2\u30d1\u30c3\u30b1\u30fc\u30b8\uff1apytorch 2.0.0<\/li>\n<li>\u5b66\u7fd2\u65b9\u6cd5\uff1a\u30df\u30cb\u30d0\u30c3\u30c1\u5b66\u7fd2\n<ul>\n<li>\u30df\u30cb\u30d0\u30c3\u30c1\u306e\u6570\u306f 50 \u500b\uff0c\u5404\u30d0\u30c3\u30c1\u306e\u30b5\u30a4\u30ba\u306f 5<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<ul>\n<li>\u5b66\u7fd2\u30d1\u30e9\u30e1\u30fc\u30bf\u306e\u6700\u9069\u5316\u624b\u6cd5\uff1aAdam Optimizer\n<ul>\n<li>Adam \u306e\u5b66\u7fd2\u7387\u306f $ 5.0\\times 10^{-6}$ \u304b\u3089\u59cb\u3081\u3066\u66f4\u65b0\u3054\u3068\u306b $0.5$ \u500d\u3059\u308b<\/li>\n<\/ul>\n<\/li>\n<li>DUOM \u306e\u53cd\u5fa9\u56de\u6570 $T=20$<\/li>\n<li>$\\{\\eta_t\\}_{t=0}^{T-1}$ \u306e\u5b66\u7fd2\u524d\u306e\u521d\u671f\u5024\uff1a\u5168\u3066 $1.0\u00d710^{-4}$<\/li>\n<li>MCMC \u304b\u3089\u306e\u30b5\u30f3\u30d7\u30eb\u6570\uff1a100 \u500b<\/li>\n<\/ul>\n<p>\u4ee5\u4e0b\u306e\u56f3 5 \u306b\u3001\u30b9\u30c6\u30c3\u30d7\u30b5\u30a4\u30ba\u3092\u56fa\u5b9a\u3057\u305f\u5834\u5408\u306e\u5927\u95a2\u6cd5\u3068 DUOM \u3068\u3067\u3001\u53cd\u5fa9\u306b\u5bfe\u3059\u308b\u6b8b\u7559\u640d\uff08residual loss\uff09\u3092\u6bd4\u8f03\u3057\u305f\u7d50\u679c\u3092\u793a\u3057\u307e\u3059\u3002<\/p>\n<p>&nbsp;<\/p>\n<div id=\"attachment_7492\" style=\"width: 1034px\" class=\"wp-caption alignnone\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-7492\" src=\"\/T-Wave\/wp-content\/uploads\/2024\/11\/cfa648c4f4310a1d18d4e0fb06ce7c5c-1024x762.png\" alt=\"\" width=\"1024\" height=\"762\" class=\"wp-image-7492 size-large\" \/><p id=\"caption-attachment-7492\" class=\"wp-caption-text\">\u56f3 5\uff1aK-minimum set \u554f\u984c\u306b\u304a\u3051\u308b DUOM \u3068 $\\eta$ \u3092\u56fa\u5b9a\u3057\u305f\u5927\u95a2\u6cd5\u306e\u6bd4\u8f03\u7d50\u679c\u3002\u6a2a\u8ef8\u306f\u53cd\u5fa9\u56de\u6570\u3001\u7e26\u8ef8\u306f\u6b8b\u7559\u640d\u3092\u8868\u3059\uff08DOI\uff1a<a href=\"https:\/\/doi.org\/10.7566\/JPSJ.93.063801\">https:\/\/doi.org\/10.7566\/JPSJ.93.063801<\/a>\uff09\u3002<\/p><\/div>\n<p>\u56f3 5 \u306b\u304a\u3044\u3066\u3001\u7e26\u8ef8\u306e\u6b8b\u7559\u640d\u306f\u3001\u5404\u53cd\u5fa9\u306b\u304a\u3051\u308b MCMC \u304b\u3089\u306e\u30b5\u30f3\u30d7\u30eb 100 \u500b\u306e\u3046\u3061\u6700\u5c0f\u306e $L({\\bm x};\\lambda)$ \u3068\u6700\u9069\u5024 $L({\\bm x}^{\\ast};\\lambda)$ \u3068\u306e\u9593\u306e\u5dee\u3092\u53d6\u3063\u305f\u3082\u306e\u3067\u3059\u3002\u5236\u7d04\u5145\u8db3\u89e3\u306e\u5834\u5408\u3001$L({\\bm x};\\lambda)$ \u306f\u30da\u30ca\u30eb\u30c6\u30a3\u9805\u304c\u30bc\u30ed\u306b\u306a\u308b\u305f\u3081\u3001\u6700\u9069\u5024 $L({\\bm x}^{\\ast};\\lambda)$ \u306f\u76ee\u7684\u95a2\u6570\u5024 $f_0({\\bm x})=\\sum_i h_i x_i$ \u306e\u6700\u9069\u5024\u3068\u7b49\u3057\u304f\u306a\u308a\u307e\u3059\u3002\u3053\u306e\u5b9f\u9a13\u3067\u306f\u3001\u56fa\u5b9a\u3059\u308b $\\eta$ \u306e\u5024\u3068\u3057\u3066 4 \u30d1\u30bf\u30fc\u30f3\u3092\u8a66\u3057\u3066\u3044\u307e\u3059\u304c\u3001DUOM \u306f\u305d\u306e\u3069\u308c\u3088\u308a\u3082\u5c11\u306a\u3044\u53cd\u5fa9\u6570\u3067\u6b8b\u7559\u640d\u304c\u30bc\u30ed\u306b\u306a\u3063\u3066\u3044\u308b\u3053\u3068\u304c\u5206\u304b\u308a\u307e\u3059\u3002\u3088\u3063\u3066\u3001DUOM \u306f K-minimum set \u554f\u984c\u306b\u304a\u3044\u3066\u3001$\\eta$ \u3092\u56fa\u5b9a\u3057\u305f\u5927\u95a2\u6cd5\u306b\u6bd4\u3079\u3066\u901f\u304f\u53ce\u675f\u3059\u308b\u3053\u3068\u304c\u78ba\u8a8d\u3055\u308c\u307e\u3057\u305f\u3002<\/p>\n<p>&nbsp;<\/p>\n<h3><span class=\"ez-toc-section\" id=\"%E7%94%BB%E5%83%8F%E5%BE%A9%E5%85%83%E5%95%8F%E9%A1%8C%E3%81%AB%E3%81%8A%E3%81%91%E3%82%8B%E6%A4%9C%E8%A8%BC\"><\/span>\u753b\u50cf\u5fa9\u5143\u554f\u984c\u306b\u304a\u3051\u308b\u691c\u8a3c<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u6b21\u306b\u8a66\u3059\u4f8b\u984c\u306f\u753b\u50cf\u5fa9\u5143\u306e\u554f\u984c\u3067\u3042\u308a\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u5b9a\u7fa9\u3055\u308c\u307e\u3059\u3002<\/p>\n<p>$$<br \/>\n\\tag{16}<br \/>\n\\begin{aligned}<br \/>\n\\min_{{\\bm x}\\in\\{0,1\\}^N} \\quad &amp; -\\sum_{\\langle i, j \\rangle}x_i x_j \\\\<br \/>\n{\\rm s.t.} \\quad &amp; y_k=\\sum_{l=1}^{N}a_{k l}x_l \\ (k=1,\\dots , M) ,<br \/>\n\\end{aligned}<br \/>\n$$<\/p>\n<p>\u3053\u306e\u554f\u984c\u306f\u3001\u89b3\u6e2c\u884c\u5217 $A\\in \\mathbb{R}^{M\\times N}$ \u3068\u89b3\u6e2c\u30d9\u30af\u30c8\u30eb $\\bm y \\in \\mathbb{R}^{M}$ \u304b\u3089\u30b5\u30a4\u30ba $\\sqrt{N}\\times \\sqrt{N}$ \u306e\u5143\u753b\u50cf ${\\bm x}^{\\ast}$ \u3092\u5fa9\u5143\u3059\u308b\u554f\u984c\u3067\u3059\u3002\u5909\u6570 $x_i\\in\\{0,1\\}$ \u306f $i$ \u756a\u76ee\u306e\u30d4\u30af\u30bb\u30eb\u306e\u8272\uff08\u767d or \u9ed2\uff09\u3092\u8868\u3057\u3001${\\langle i, j \\rangle}$ \u306f\u3001\u753b\u50cf\u3067\u96a3\u63a5\u3059\u308b\u30d4\u30af\u30bb\u30eb\u306e\u7d44\u3092\u8868\u3057\u307e\u3059\u3002\u5f0f (1) \u306b\u5408\u308f\u305b\u308b\u3068 $f_0 ({\\bm x})=-\\sum_{\\langle i, j \\rangle}x_i x_j $\u3001$f_k ({\\bm x}) = \\sum_{l=1}^{N}a_{k l}x_l , C_k = y_k$ \u3068\u306a\u308a\u307e\u3059\u3002\u5236\u7d04\u6570 $M$ \u306f\u89b3\u6e2c\u884c\u5217\u306e\u884c\u6570\uff08=\u89b3\u6e2c\u6570\uff09\u306b\u5bfe\u5fdc\u3057\u307e\u3059\u3002<\/p>\n<p>\u672c\u5b9f\u9a13\u3067\u5fa9\u5143\u3057\u305f\u3044\u5143\u753b\u50cf ${\\bm x}^{\\ast}$ \u3092\u4ee5\u4e0b\u306e\u56f3 6 \u306b\u793a\u3057\u307e\u3059\u3002<\/p>\n<p>&nbsp;<\/p>\n<div id=\"attachment_7494\" style=\"width: 566px\" class=\"wp-caption alignnone\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-7494\" src=\"\/T-Wave\/wp-content\/uploads\/2025\/01\/1e848d4b97d533d5ef9357488275e8ff.png\" alt=\"\" width=\"556\" height=\"550\" class=\"wp-image-7494 size-full\" \/><p id=\"caption-attachment-7494\" class=\"wp-caption-text\">\u56f3 6\uff1a\u753b\u50cf\u5fa9\u5143\u554f\u984c\u306b\u304a\u3051\u308b\u5fa9\u5143\u5bfe\u8c61\u306e\u5143\u753b\u50cf\uff08DOI\uff1a<a href=\"https:\/\/doi.org\/10.7566\/JPSJ.93.063801\">https:\/\/doi.org\/10.7566\/JPSJ.93.063801<\/a>\uff09\u3002<\/p><\/div>\n<p>&nbsp;<\/p>\n<p>$A=(a_{k l})$ \u306e\u5404\u8981\u7d20 $a_{k l}$ \u306f\u72ec\u7acb\u306a\u6a19\u6e96\u6b63\u898f\u5206\u5e03\u304b\u3089\u30e9\u30f3\u30c0\u30e0\u306b\u751f\u6210\u3057\u3001\u89b3\u6e2c\u30d9\u30af\u30c8\u30eb $\\bm y$ \u306f $\\bm y = A {\\bm x}^{\\ast}$ \u306b\u3088\u308a\u6c42\u3081\u307e\u3059\u3002\u753b\u50cf\u5fa9\u5143\u554f\u984c\u306b\u304a\u3051\u308b\u5b9f\u9a13\u8a2d\u5b9a\u306f\u4ee5\u4e0b\u306e\u901a\u308a\u3067\u3059\uff1a<\/p>\n<ul>\n<li>\u554f\u984c\u30d1\u30e9\u30e1\u30fc\u30bf\uff1a$N = 15^2 = 225,\u00a0 M=135,\u00a0 \\beta=10$<\/li>\n<li>\u8a13\u7df4\u30c7\u30fc\u30bf\uff1a\u30e9\u30f3\u30c0\u30e0\u884c\u5217 $A$ \u304a\u3088\u3073\u89b3\u6e2c\u30d9\u30af\u30c8\u30eb $\\bm y$<\/li>\n<li>\u5b66\u7fd2\u30d1\u30c3\u30b1\u30fc\u30b8\uff1apytorch 2.0.0<\/li>\n<li>\u5b66\u7fd2\u65b9\u6cd5\uff1a\u30df\u30cb\u30d0\u30c3\u30c1\u5b66\u7fd2\n<ul>\n<li>\u30df\u30cb\u30d0\u30c3\u30c1\u306e\u6570\u306f 20 \u500b\uff0c\u5404\u30d0\u30c3\u30c1\u306e\u30b5\u30a4\u30ba\u306f 8<\/li>\n<\/ul>\n<\/li>\n<li>\u5b66\u7fd2\u30d1\u30e9\u30e1\u30fc\u30bf\u306e\u6700\u9069\u5316\u624b\u6cd5\uff1aAdam Optimizer\n<ul>\n<li>Adam \u306e\u5b66\u7fd2\u7387\u306f $5.0\\times 10^{-3}$ \u304b\u3089\u59cb\u3081\u3066\u66f4\u65b0\u3054\u3068\u306b $0.8$ \u500d\u3059\u308b<\/li>\n<\/ul>\n<\/li>\n<li>DUOM \u306e\u53cd\u5fa9\u56de\u6570\uff1a$T=40$<\/li>\n<li>$\\{\\eta_t\\}_{t=0}^{T-1}$ \u306e\u5b66\u7fd2\u524d\u306e\u521d\u671f\u5024\uff1a\u5168\u3066 $1.0\u00d710^{-2}$<\/li>\n<li>MCMC \u304b\u3089\u306e\u30b5\u30f3\u30d7\u30eb\u6570\uff1a100 \u500b<\/li>\n<\/ul>\n<ul><\/ul>\n<p>\u4ee5\u4e0b\u306e\u56f3 7 \u306b\u3001\u30b9\u30c6\u30c3\u30d7\u30b5\u30a4\u30ba\u3092\u56fa\u5b9a\u3057\u305f\u5834\u5408\u306e\u5927\u95a2\u6cd5\u3068 DUOM \u3068\u3067\u3001\u53cd\u5fa9\u306b\u5bfe\u3059\u308b\u5e73\u5747\u4e8c\u4e57\u8aa4\u5dee\uff08MSE\uff1aMean Squared Error\uff09\u3092\u6bd4\u8f03\u3057\u305f\u7d50\u679c\u3092\u793a\u3057\u307e\u3059\u3002<\/p>\n<p>&nbsp;<\/p>\n<div id=\"attachment_7493\" style=\"width: 1034px\" class=\"wp-caption alignnone\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-7493\" src=\"\/T-Wave\/wp-content\/uploads\/2025\/01\/ff5ed6e274c85f20a62744d026805117-1024x773.png\" alt=\"\" width=\"1024\" height=\"773\" class=\"wp-image-7493 size-large\" \/><p id=\"caption-attachment-7493\" class=\"wp-caption-text\">\u56f3 7\uff1a\u753b\u50cf\u5fa9\u5143\u554f\u984c\u306b\u304a\u3051\u308b DUOM \u3068 $\\eta$ \u3092\u56fa\u5b9a\u3057\u305f\u5927\u95a2\u6cd5\u306e\u6bd4\u8f03\u7d50\u679c\u3002\u6a2a\u8ef8\u306f\u53cd\u5fa9\u56de\u6570\u3001\u7e26\u8ef8\u306f\u5e73\u5747\u4e8c\u4e57\u8aa4\u5dee\u3092\u793a\u3059\uff08DOI\uff1a<a href=\"https:\/\/doi.org\/10.7566\/JPSJ.93.063801\">https:\/\/doi.org\/10.7566\/JPSJ.93.063801<\/a>\uff09\u3002<\/p><\/div>\n<p>&nbsp;<\/p>\n<p>\u56f3 7 \u306b\u304a\u3044\u3066\u3001\u7e26\u8ef8\u306e MSE \u306f\u53b3\u5bc6\u89e3 ${\\bm x}^{\\ast}$ \u306b\u5bfe\u3059\u308b\u8aa4\u5dee\u306e\u6307\u6a19\u3067\u3042\u308a\u3001$\\sum_i (x_i &#8211; x_i^{\\ast})^2 \/ N$ \u3068\u3044\u3046\u5f0f\u3067\u8868\u3055\u308c\u307e\u3059\u3002\u89e3 $\\bm x$ \u306f\u3001\u5404\u53cd\u5fa9\u306b\u304a\u3051\u308b MCMC \u304b\u3089\u306e\u30b5\u30f3\u30d7\u30eb 100 \u500b\u306e\u3046\u3061 $L({\\bm x};\\lambda)$ \u3092\u6700\u5c0f\u306b\u3059\u308b\u3082\u306e\u3067\u3059\u3002\u3053\u306e\u5b9f\u9a13\u3067\u306f\u3001\u56fa\u5b9a\u3059\u308b $\\eta$ \u306e\u5024\u306f\u9069\u5207\u306b\u8abf\u6574\u3057\u305f\u4e0a\u3067\u3001\u6700\u3082\u53ce\u675f\u304c\u901f\u304b\u3063\u305f\u5024 $\\eta=1.0\\times 10^{-2}$ \u3092\u5229\u7528\u3057\u3066\u3044\u307e\u3059\u3002\u3053\u306e\u7d50\u679c\u304b\u3089\u3001DUOM \u306f $\\eta$ \u3092\u56fa\u5b9a\u3057\u305f\u5927\u95a2\u6cd5\u306b\u6bd4\u3079\u3066\u901f\u304fMSE \u304c\u307b\u307c\u30bc\u30ed\u306b\u306a\u3063\u3066\u3044\u308b\u3053\u3068\u304c\u5206\u304b\u308a\u307e\u3059\u3002\u307e\u305f\u3001$\\eta$ \u3092\u56fa\u5b9a\u3057\u305f\u5927\u95a2\u6cd5\u3067\u306f\u3001\u56f3 6 \u306e\u5143\u753b\u50cf\u306e\u5fa9\u5143\u306b $32$ \u53cd\u5fa9\u3092\u8981\u3057\u305f\u4e00\u65b9\u3001DUOM \u306f $11$ \u53cd\u5fa9\u3067\u5143\u753b\u50cf\u304c\u5fa9\u5143\u3067\u304d\u307e\u3057\u305f\u3002\u3088\u3063\u3066\u3001\u753b\u50cf\u5fa9\u5143\u306e\u554f\u984c\u306b\u304a\u3044\u3066\u3082\u3001DUOM \u306f $\\eta$ \u3092\u56fa\u5b9a\u3057\u305f\u5927\u95a2\u6cd5\u306b\u6bd4\u3079\u3066\u901f\u304f\u53ce\u675f\u3059\u308b\u3053\u3068\u304c\u5206\u304b\u308a\u307e\u3057\u305f\u3002<\/p>\n<p>&nbsp;<\/p>\n<h2><span class=\"ez-toc-section\" id=\"%E3%81%BE%E3%81%A8%E3%82%81\"><\/span>\u307e\u3068\u3081<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u672c\u8ad6\u6587\u3067\u306f\u3001\u6df1\u5c64\u5c55\u958b\u306b\u3088\u3063\u3066\u5927\u95a2\u6cd5\u306e\u30b9\u30c6\u30c3\u30d7\u30b5\u30a4\u30ba\u3092\u6700\u9069\u5316\u3059\u308b\u624b\u6cd5 DUOM \u3092\u63d0\u6848\u3057\u307e\u3057\u305f\u3002K-minimum Set \u554f\u984c\u3068\u753b\u50cf\u5fa9\u5143\u554f\u984c\u306e\uff12\u3064\u306e\u4f8b\u984c\u3092\u7528\u3044\u305f\u6570\u5024\u5b9f\u9a13\u306e\u7d50\u679c\u304b\u3089\u3001\u30b9\u30c6\u30c3\u30d7\u30b5\u30a4\u30ba\u304c\u56fa\u5b9a\u306e\u5927\u95a2\u6cd5\u306b\u6bd4\u3079\u3066 DUOM \u306f\u53ce\u675f\u901f\u5ea6\u304c\u5411\u4e0a\u3059\u308b\u3053\u3068\u304c\u78ba\u8a8d\u3055\u308c\u307e\u3057\u305f\u3002\u3053\u306e\u7d50\u679c\u306f\u3001\u5236\u7d04\u4ed8\u304d\u7d44\u5408\u305b\u6700\u9069\u5316\u30bd\u30eb\u30d0\u30fc\u306b\u5bfe\u3059\u308b\u6df1\u5c64\u5c55\u958b\u306e\u9069\u7528\u53ef\u80fd\u6027\u3092\u793a\u3057\u3066\u3044\u307e\u3059\u3002<\/p>\n<p>\u4eca\u5f8c\u306e\u5c55\u671b\u3068\u3057\u3066\u4ee5\u4e0b\u306e 2 \u70b9\u304c\u6319\u3052\u3089\u308c\u307e\u3059\u3002\uff11\u3064\u76ee\u306b\u3001DUOM \u306e\u30b5\u30f3\u30d7\u30e9\u30fc\u3092 QA \u306b\u5909\u66f4\u3059\u308b\u3053\u3068\u304c\u8003\u3048\u3089\u308c\u307e\u3059\u3002\u672c\u8ad6\u6587\u3067\u306f\u30dc\u30eb\u30c4\u30de\u30f3\u5206\u5e03 $Q({\\bm \\nu})$ \u304b\u3089\u306e\u30b5\u30f3\u30d7\u30e9\u30fc\u3068\u3057\u3066 MCMC \u3092\u9069\u7528\u3057\u3066\u3044\u307e\u3059\u304c\u3001\u5143\u3005\u5927\u95a2\u6cd5\u306f\u3001QA \u30de\u30b7\u30f3\u4e0a\u3067\u91cf\u5b50\u30d3\u30c3\u30c8\u3092\u5229\u6d3b\u7528\u3059\u308b\u3053\u3068\u3092\u76ee\u7684\u3068\u3057\u3066\u63d0\u6848\u3055\u308c\u305f\u3082\u306e\u3067\u3042\u308b\u305f\u3081\u3001DUOM \u306b\u5bfe\u3059\u308b QA \u306e\u9069\u7528\u306f\u8208\u5473\u6df1\u3044\u5c55\u671b\u3067\u3059\uff08\u203b\uff09\u3002\uff12\u3064\u76ee\u306b\u3001\u4ed6\u306e\u7b49\u5f0f\u5236\u7d04\u4ed8\u304d\u6700\u9069\u5316\u554f\u984c\u3078\u306e DUOM \u306e\u9069\u7528\u304c\u8003\u3048\u3089\u308c\u307e\u3059\u3002\u672c\u8ad6\u6587\u3067\u6271\u3063\u305f\u554f\u984c\u4ee5\u5916\u306b\u3082\u3001\u5de1\u56de\u30bb\u30fc\u30eb\u30b9\u30de\u30f3\u554f\u984c\u3084\u30b0\u30e9\u30d5\u5206\u5272\u554f\u984c\u306a\u3069\u3001\u7b49\u5f0f\u5236\u7d04\u4ed8\u304d\u6700\u9069\u5316\u554f\u984c\u306f\u591a\u304f\u5b58\u5728\u3059\u308b\u305f\u3081\u3001\u305d\u308c\u3089\u306b DUOM \u3092\u9069\u7528\u3059\u308b\u3053\u3068\u3067\u3001\u63d0\u6848\u624b\u6cd5\u306e\u5fdc\u7528\u7bc4\u56f2\u3092\u62e1\u5927\u3059\u308b\u3053\u3068\u3082\u91cd\u8981\u306a\u5c55\u671b\u3068\u3057\u3066\u6319\u3052\u3089\u308c\u307e\u3059\u3002<\/p>\n<p>&nbsp;<\/p>\n<p>\uff08\u203b\uff09\u672c\u8ad6\u6587\u306e\u8457\u8005\u3089\u304c\u3001<a href=\"https:\/\/doi.org\/10.48550\/arXiv.2501.03518\">DUOM \u306b\u5bfe\u3059\u308b QA \u306e\u9069\u7528\u3092\u691c\u8a0e\u3057\u305f\u8ad6\u6587\u3092 2025 \u5e74\u306b\u516c\u958b\u3057\u3066\u3044\u307e\u3059 [4]<\/a>\u3002\u3053\u306e\u8ad6\u6587\u3067\u306f\u3001DUOM \u306e\u5b66\u7fd2\u30d7\u30ed\u30bb\u30b9\u306b\u306f MCMC \u3084 Simulated Quantum Annealing\uff08QA \u306e\u53e4\u5178\u7684\u306a\u30b7\u30df\u30e5\u30ec\u30fc\u30b7\u30e7\u30f3\u624b\u6cd5\uff09\u3092\u4f7f\u7528\u3057\u3001\u5b66\u7fd2\u3055\u308c\u305f\u30b9\u30c6\u30c3\u30d7\u30b5\u30a4\u30ba\u3092\u7528\u3044\u3066\u5927\u95a2\u6cd5\u3092\u5b9f\u884c\u3059\u308b\u969b\u306b\u306f QA \u3092\u7528\u3044\u308b\u3001\u3068\u3044\u3046\u8ee2\u79fb\u5b66\u7fd2\u3092\u5fdc\u7528\u3057\u305f\u624b\u6cd5\u3092\u63d0\u6848\u3057\u3066\u3044\u307e\u3059\u3002\u8ee2\u79fb\u5b66\u7fd2<span>\u3068\u306f\u3001\u3042\u308b\u30bf\u30b9\u30af\u5411\u3051\u306b\u5b66\u7fd2\u3057\u305f\u30e2\u30c7\u30eb\u3092\u3001\u985e\u4f3c\u3057\u305f\u30bf\u30b9\u30af\u3092\u5b9f\u884c\u3059\u308b\u30e2\u30c7\u30eb\u306b\u8ee2\u7528\u3059\u308b\u5b66\u7fd2\u65b9\u6cd5\u3092\u6307\u3057\u307e\u3059\u3002\u3088\u3063\u3066\u3001\u3053\u306e\u8ad6\u6587\u3067\u306f<\/span>\u53e4\u5178\u7684\u306a\u30b5\u30f3\u30d7\u30e9\u30fc\u306b\u3088\u308a\u5b66\u7fd2\u3057\u305f\u7d50\u679c\u3092 QA \uff08\u91cf\u5b50\u8a08\u7b97\uff09\u306b\u8ee2\u7528\u3057\u3066\u3044\u308b\u70b9\u3067\u3001\u53e4\u5178\u30fb\u91cf\u5b50\u8ee2\u79fb\u5b66\u7fd2\u3092\u63d0\u6848\u3057\u305f\u8ad6\u6587\u3068\u3057\u3066\u6349\u3048\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<h2><span class=\"ez-toc-section\" id=\"%E3%81%82%E3%81%A8%E3%81%8C%E3%81%8D\"><\/span>\u3042\u3068\u304c\u304d<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u5f0f (13), (14) \u306b\u3042\u308b\u3088\u3046\u306b\u3001\u8aa4\u5dee\u9006\u4f1d\u64ad\u6cd5\u306b\u304a\u3044\u3066\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u306b\u3088\u308b\u7d4c\u9a13\u5206\u6563\u304c\u6d3b\u304b\u305b\u308b\u70b9\u304c\u8208\u5473\u6df1\u3044\u3068\u611f\u3058\u307e\u3057\u305f\u3002\u307e\u305f\u3001\u4eca\u56de\u306f\u63d0\u6848\u624b\u6cd5\u3092\u30b9\u30c6\u30c3\u30d7\u30b5\u30a4\u30ba\u56fa\u5b9a\u306e\u5927\u95a2\u6cd5\u3068\u6bd4\u8f03\u3057\u3066\u3044\u307e\u3057\u305f\u304c\u3001\u30b9\u30c6\u30c3\u30d7\u30b5\u30a4\u30ba\u3092\u8abf\u6574\u3059\u308b\u305d\u306e\u4ed6\u306e\u624b\u6cd5\uff08Optuna \u306b\u3088\u308b\u30d1\u30e9\u30e1\u30fc\u30bf\u63a8\u5b9a\u3084\u3001\u52d5\u7684\u306b\u30b9\u30c6\u30c3\u30d7\u30b5\u30a4\u30ba\u3092\u6c7a\u5b9a\u3059\u308b\u52fe\u914d\u6cd5\u306e\u9069\u7528\u306a\u3069\uff09\u306b\u6bd4\u3079\u3066\u3001\u6df1\u5c64\u5c55\u958b\u306e\u5b66\u7fd2\u30b3\u30b9\u30c8\u3092\u52a0\u5473\u3057\u3066\u3082\u5229\u70b9\u304c\u3042\u308b\u306e\u304b\u3069\u3046\u304b\u306f\u6c17\u306b\u306a\u308a\u307e\u3057\u305f\u3002\u307e\u305f\u3001\u672c\u8ad6\u6587\u306b\u3088\u308a\u7d44\u5408\u305b\u6700\u9069\u5316\u554f\u984c\u306e\u30bd\u30eb\u30d0\u30fc\u306b\u5bfe\u3059\u308b\u6df1\u5c64\u5c55\u958b\u306e\u9069\u7528\u53ef\u80fd\u6027\u304c\u793a\u3055\u308c\u307e\u3057\u305f\u304c\u3001\u305d\u306e\u4ed6\u306e\u7d44\u5408\u305b\u6700\u9069\u5316\u30bd\u30eb\u30d0\u30fc\u306b\u3082\u6df1\u5c64\u5c55\u958b\u304c\u9069\u7528\u3067\u304d\u306a\u3044\u304b\u3092\u63a2\u3063\u3066\u3044\u304d\u305f\u3044\u3068\u601d\u3044\u307e\u3057\u305f\u3002<\/p>\n<h2><span class=\"ez-toc-section\" id=\"%E8%A3%9C%E8%B6%B3\"><\/span>\u88dc\u8db3<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u5f0f (13) \u306e\u5c0e\u51fa\u904e\u7a0b\u3092\u4ee5\u4e0b\u306b\u793a\u3057\u307e\u3059\u3002\u5f0f (14) \u306b\u3064\u3044\u3066\u3082\u307b\u3068\u3093\u3069\u540c\u69d8\u306e\u8a08\u7b97\u3067\u5c0e\u51fa\u304c\u53ef\u80fd\u3067\u3059\u3002<\/p>\n<p>$$<br \/>\n\\begin{aligned}<br \/>\n\\frac{\\partial}{\\partial \\nu_k} \\langle L({\\bm x}, \\lambda)\\rangle<br \/>\n&amp; =\\frac{\\partial}{\\partial \\nu_k}\\sum_{\\{{\\bm x}\\}}L({\\bm x}, \\lambda)Q({\\bm \\nu}^{(u)}) \\\\<br \/>\n&amp;=\\frac{\\partial}{\\partial \\nu_k}\\sum_{\\{{\\bm x}\\}}L({\\bm x}, \\lambda) \\frac{1}{Z}\\exp (-\\beta H) \\\\<br \/>\n&amp;=\\sum_{\\{{\\bm x}\\}}L({\\bm x}, \\lambda)\\left( \\exp (\\beta H) \\frac{\\partial}{\\partial \\nu_k} \\left(\\frac{1}{Z}\\right)+\\frac{1}{Z}\\frac{\\partial}{\\partial \\nu_k}\\left( \\exp (-\\beta H)\\right) \\right) \\\\<br \/>\n&amp;=\\sum_{\\{{\\bm x}\\}}L({\\bm x}, \\lambda)\\left( &#8211; \\exp (\\beta H) \\frac{1}{Z^2}\\ \\frac{\\partial Z}{\\partial \\nu_k} +\\frac{1}{Z} \\left(-\\beta \\frac{\\partial H}{\\partial \\nu_k}\\right)\\exp (-\\beta H)\\right) \\\\<br \/>\n&amp;=\\sum_{\\{{\\bm x}\\}}L({\\bm x}, \\lambda)\\left(\\beta \\frac{\\exp (-\\beta H)}{Z}\\sum_{\\{{\\bm x}\\}}\\left( \\frac{\\partial H}{\\partial \\nu_k}\\frac{\\exp(-\\beta H)}{Z} \\right)-\\beta \\frac{\\partial H}{\\partial \\nu_k}\\frac{\\exp (-\\beta H)}{Z} \\right)\\\\<br \/>\n&amp;=\\sum_{\\{{\\bm x}\\}}L({\\bm x}, \\lambda)\\left(\\beta Q({\\bm \\nu}^{(u)}) \\sum_{\\{{\\bm x}\\}}\\left( \\frac{\\partial H}{\\partial \\nu_k}Q({\\bm \\nu}^{(u)}) \\right)-\\beta \\frac{\\partial H}{\\partial \\nu_k}Q({\\bm \\nu}^{(u)}) \\right)\\\\<br \/>\n&amp;= \\beta\\left( \\sum_{\\{{\\bm x}\\}}\\left(L({\\bm x}, \\lambda)Q({\\bm \\nu}^{(u)})\\right) \\sum_{\\{ {\\bm x}\\}}\\left(\\frac{\\partial H}{\\partial \\nu_k}Q({\\bm \\nu}^{(u)})\\right) &#8211; \\sum_{\\{{\\bm x}\\}}\\left(L({\\bm x}, \\lambda)\\frac{\\partial H}{\\partial \\nu_k}\\right)Q({\\bm \\nu}^{(u)}) \\right)\\\\<br \/>\n&amp;=\\beta\\left(\\left\\langle L({\\bm x}, \\lambda)\\right\\rangle \\left\\langle\\frac{\\partial H}{\\partial \\nu_k}\\right\\rangle &#8211; \\left\\langle L({\\bm x}, \\lambda)\\frac{\\partial H}{\\partial \\nu_k}\\right\\rangle\\right)<br \/>\n\\end{aligned}<br \/>\n$$<\/p>\n<h2><span class=\"ez-toc-section\" id=\"%E5%8F%82%E8%80%83%E6%96%87%E7%8C%AE\"><\/span>\u53c2\u8003\u6587\u732e<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<ol>\n<li>\n<p class=\"post-title\"><span style=\"font-size: 16px;\">D-Wave \u30de\u30b7\u30f3\u306e\u9650\u754c\u3092\u8d85\u3048\u308b&#8221;\u5927\u95a2\u6cd5&#8221;, <a href=\"\/T-Wave\/?p=6571\">\/T-Wave\/?p=6571<\/a><\/span><\/p>\n<\/li>\n<li><a href=\"https:\/\/doi.org\/10.1038\/s41598-020-60022-5\">M. Ohzeki, Sci. Rep. 10, 3126 (2020).<\/a><\/li>\n<li>\u548c\u7530\u5c71\u6b63, \u30e2\u30c7\u30eb\u30d9\u30fc\u30b9\u6df1\u5c64\u5c55\u958b\u3068\u6df1\u5c64\u5c55\u958b, \u68ee\u5317\u51fa\u7248 (2023).<\/li>\n<li><a href=\"https:\/\/doi.org\/10.48550\/arXiv.2501.03518\">R. Hagiwara, S. Arai, S. Takabe, arXiv.2501.03518 (2025).<\/a><\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"<p>\u7d44\u5408\u305b\u6700\u9069\u5316\u554f\u984c\u306e\u4e2d\u306b\u306f\u5236\u7d04\u3092\u6301\u3064\u7d44\u5408\u305b\u6700\u9069\u5316\u554f\u984c\u304c\u591a\u304f\u5b58\u5728\u3057\u307e\u3059\u3002\u305d\u306e\u3088\u3046\u306a\u5236\u7d04\u4ed8\u304d\u6700\u9069\u5316\u554f\u984c\u306e\u89e3\u6cd5\u3068\u3057\u3066\u5927\u95a2\u6cd5\u3068\u547c\u3070\u308c\u308b\u624b\u6cd5\u304c\u77e5\u3089\u308c\u3066\u3044\u307e\u3059\u3002\u5927\u95a2\u6cd5\u306f\u3001\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u3084\u30de\u30eb\u30b3\u30d5\u9023\u9396\u30e2\u30f3\u30c6\u30ab\u30eb\u30ed\u6cd5\u306e\u3088\u3046\u306a\u30dc\u30eb\u30c4\u30de\u30f3\u5206\u5e03\u304b\u3089\u306e\u30b5\u30f3\u30d7\u30e9\u30fc\u3068\u52fe\u914d\u6cd5\u3092\u7d44\u307f\u5408\u308f\u305b\u305f\u624b\u6cd5\u3067\u3042\u308a\u3001\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u3068\u52fe\u914d\u6cd5\u306b\u3088\u308b\u30dc\u30eb\u30c4\u30de\u30f3\u5206\u5e03\u306e\u66f4\u65b0\u3092\u53cd\u5fa9\u7684\u306b\u7e70\u308a\u8fd4\u3059\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u3067\u3059\u3002\u5927\u95a2\u6cd5\u306b\u3088\u3063\u3066\u5f97\u3089\u308c\u308b\u89e3\u306e\u7cbe\u5ea6\u306f\u3001\u5206\u5e03\u306e\u66f4\u65b0\u306e\u969b\u306b\u7528\u3044\u3089\u308c\u308b\u30b9\u30c6\u30c3\u30d7\u30b5\u30a4\u30ba\u3068\u547c\u3070\u308c\u308b\u30d1\u30e9\u30e1\u30fc\u30bf\u306b\u5927\u304d\u304f\u4f9d\u5b58\u3059\u308b\u4e00\u65b9\u3001\u53cd\u5fa9\u3054\u3068\u306e\u30b9\u30c6\u30c3\u30d7\u30b5\u30a4\u30ba\u306e\u9069\u5207\u306a\u8abf\u6574\u306f\u56f0\u96e3\u3067\u3059\u3002\u305d\u306e\u554f\u984c\u306b\u5bfe\u51e6\u3059\u308b\u305f\u3081\u306b\u3001\u672c\u8ad6\u6587\u3067\u306f\u6df1\u5c64\u5c55\u958b\u3068\u547c\u3070\u308c\u308b\u6df1\u5c64\u5b66\u7fd2\u6280\u8853\u3092\u5927\u95a2\u6cd5\u306b\u9069\u7528\u3057\u3066\u3044\u307e\u3059\u3002<\/p>\n","protected":false},"author":12,"featured_media":8197,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[23,84,87,92,105],"class_list":["post-7396","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-review","tag-mcmc","tag-84","tag-87","tag-92","tag-105"],"yoast_head":"<!-- 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