

{"id":9070,"date":"2026-06-17T15:21:55","date_gmt":"2026-06-17T06:21:55","guid":{"rendered":"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/?p=9070"},"modified":"2026-06-17T15:27:45","modified_gmt":"2026-06-17T06:27:45","slug":"%e3%80%90%e5%ae%9f%e8%b7%b5%e7%b7%a8%e3%80%91d-wave%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%a9%e3%83%bc%e3%82%92%e7%94%a8%e3%81%84%e3%81%9f%e5%88%b6%e9%99%90%e3%83%9c%e3%83%ab%e3%83%84","status":"publish","type":"post","link":"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2026\/06\/17\/%e3%80%90%e5%ae%9f%e8%b7%b5%e7%b7%a8%e3%80%91d-wave%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%a9%e3%83%bc%e3%82%92%e7%94%a8%e3%81%84%e3%81%9f%e5%88%b6%e9%99%90%e3%83%9c%e3%83%ab%e3%83%84\/","title":{"rendered":"\u3010\u5b9f\u8df5\u7de8\u3011D-Wave\u91cf\u5b50\u30a2\u30cb\u30fc\u30e9\u30fc\u3092\u7528\u3044\u305f\u5236\u9650\u30dc\u30eb\u30c4\u30de\u30f3\u30de\u30b7\u30f3\u306e\u5b66\u7fd2"},"content":{"rendered":"<p><a href=\"https:\/\/colab.research.google.com\/github\/T-QARD\/t-wave\/blob\/main\/notebooks\/QA_RBM\/qa_rbm.ipynb\" target=\"_blank\" rel=\"noopener noreferrer\"><img decoding=\"async\" src=\"https:\/\/colab.research.google.com\/assets\/colab-badge.svg\" alt=\"Open in Colab\"><\/a><\/p>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_85 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\/2026\/06\/17\/%e3%80%90%e5%ae%9f%e8%b7%b5%e7%b7%a8%e3%80%91d-wave%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%a9%e3%83%bc%e3%82%92%e7%94%a8%e3%81%84%e3%81%9f%e5%88%b6%e9%99%90%e3%83%9c%e3%83%ab%e3%83%84\/#%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-2\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2026\/06\/17\/%e3%80%90%e5%ae%9f%e8%b7%b5%e7%b7%a8%e3%80%91d-wave%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%a9%e3%83%bc%e3%82%92%e7%94%a8%e3%81%84%e3%81%9f%e5%88%b6%e9%99%90%e3%83%9c%e3%83%ab%e3%83%84\/#%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-3\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2026\/06\/17\/%e3%80%90%e5%ae%9f%e8%b7%b5%e7%b7%a8%e3%80%91d-wave%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%a9%e3%83%bc%e3%82%92%e7%94%a8%e3%81%84%e3%81%9f%e5%88%b6%e9%99%90%e3%83%9c%e3%83%ab%e3%83%84\/#%E6%BA%96%E5%82%99\" >\u6e96\u5099<\/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\/2026\/06\/17\/%e3%80%90%e5%ae%9f%e8%b7%b5%e7%b7%a8%e3%80%91d-wave%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%a9%e3%83%bc%e3%82%92%e7%94%a8%e3%81%84%e3%81%9f%e5%88%b6%e9%99%90%e3%83%9c%e3%83%ab%e3%83%84\/#%E3%83%A9%E3%82%A4%E3%83%96%E3%83%A9%E3%83%AA%E3%81%AE%E3%82%A4%E3%83%B3%E3%82%B9%E3%83%88%E3%83%BC%E3%83%AB%E3%81%A8%E3%82%A4%E3%83%B3%E3%83%9D%E3%83%BC%E3%83%88\" >\u30e9\u30a4\u30d6\u30e9\u30ea\u306e\u30a4\u30f3\u30b9\u30c8\u30fc\u30eb\u3068\u30a4\u30f3\u30dd\u30fc\u30c8<\/a><\/li><li class='ez-toc-page-1 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href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2026\/06\/17\/%e3%80%90%e5%ae%9f%e8%b7%b5%e7%b7%a8%e3%80%91d-wave%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%a9%e3%83%bc%e3%82%92%e7%94%a8%e3%81%84%e3%81%9f%e5%88%b6%e9%99%90%e3%83%9c%e3%83%ab%e3%83%84\/#RBM%E3%81%AE%E5%9F%BA%E6%9C%AC%E3%81%AE%E5%AE%9F%E8%A3%85\" >RBM\u306e\u57fa\u672c\u306e\u5b9f\u88c5<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2026\/06\/17\/%e3%80%90%e5%ae%9f%e8%b7%b5%e7%b7%a8%e3%80%91d-wave%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%a9%e3%83%bc%e3%82%92%e7%94%a8%e3%81%84%e3%81%9f%e5%88%b6%e9%99%90%e3%83%9c%e3%83%ab%e3%83%84\/#CD-1%E3%81%AE%E3%82%B5%E3%83%B3%E3%83%97%E3%83%AA%E3%83%B3%E3%82%B0%E3%81%AB%E3%82%88%E3%82%8BRBM%E3%81%AE%E5%AD%A6%E7%BF%92%E9%96%A2%E6%95%B0%E3%81%AE%E5%AE%9F%E8%A3%85\" 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href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2026\/06\/17\/%e3%80%90%e5%ae%9f%e8%b7%b5%e7%b7%a8%e3%80%91d-wave%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%a9%e3%83%bc%e3%82%92%e7%94%a8%e3%81%84%e3%81%9f%e5%88%b6%e9%99%90%e3%83%9c%e3%83%ab%e3%83%84\/#%E7%94%BB%E5%83%8F%E5%88%86%E9%A1%9E%E3%81%AE%E6%AD%A3%E8%A7%A3%E7%8E%87%E3%82%92%E3%82%82%E3%81%A8%E3%82%81%E3%82%8B%E9%96%A2%E6%95%B0\" >\u753b\u50cf\u5206\u985e\u306e\u6b63\u89e3\u7387\u3092\u3082\u3068\u3081\u308b\u95a2\u6570<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-13\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2026\/06\/17\/%e3%80%90%e5%ae%9f%e8%b7%b5%e7%b7%a8%e3%80%91d-wave%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%a9%e3%83%bc%e3%82%92%e7%94%a8%e3%81%84%e3%81%9f%e5%88%b6%e9%99%90%e3%83%9c%e3%83%ab%e3%83%84\/#%E7%94%BB%E5%83%8F%E5%86%8D%E6%A7%8B%E6%88%90%E3%81%99%E3%82%8B%E9%96%A2%E6%95%B0\" 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href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2026\/06\/17\/%e3%80%90%e5%ae%9f%e8%b7%b5%e7%b7%a8%e3%80%91d-wave%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%a9%e3%83%bc%e3%82%92%e7%94%a8%e3%81%84%e3%81%9f%e5%88%b6%e9%99%90%e3%83%9c%e3%83%ab%e3%83%84\/#%E5%AF%BE%E6%95%B0%E5%B0%A4%E5%BA%A6%E3%82%92%E3%82%82%E3%81%A8%E3%82%81%E3%82%8B%E9%96%A2%E6%95%B0\" >\u5bfe\u6570\u5c24\u5ea6\u3092\u3082\u3068\u3081\u308b\u95a2\u6570<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-16\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2026\/06\/17\/%e3%80%90%e5%ae%9f%e8%b7%b5%e7%b7%a8%e3%80%91d-wave%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%a9%e3%83%bc%e3%82%92%e7%94%a8%e3%81%84%e3%81%9f%e5%88%b6%e9%99%90%e3%83%9c%e3%83%ab%e3%83%84\/#%E3%82%AF%E3%83%A9%E3%82%B9%E3%81%AB%E3%82%88%E3%82%8B%E7%B5%B1%E5%90%88\" >\u30af\u30e9\u30b9\u306b\u3088\u308b\u7d71\u5408<\/a><\/li><\/ul><\/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\/2026\/06\/17\/%e3%80%90%e5%ae%9f%e8%b7%b5%e7%b7%a8%e3%80%91d-wave%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%a9%e3%83%bc%e3%82%92%e7%94%a8%e3%81%84%e3%81%9f%e5%88%b6%e9%99%90%e3%83%9c%e3%83%ab%e3%83%84\/#%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-18\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2026\/06\/17\/%e3%80%90%e5%ae%9f%e8%b7%b5%e7%b7%a8%e3%80%91d-wave%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%a9%e3%83%bc%e3%82%92%e7%94%a8%e3%81%84%e3%81%9f%e5%88%b6%e9%99%90%e3%83%9c%e3%83%ab%e3%83%84\/#%E3%83%87%E3%83%BC%E3%82%BF%E8%A8%AD%E5%AE%9A\" >\u30c7\u30fc\u30bf\u8a2d\u5b9a<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-19\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2026\/06\/17\/%e3%80%90%e5%ae%9f%e8%b7%b5%e7%b7%a8%e3%80%91d-wave%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%a9%e3%83%bc%e3%82%92%e7%94%a8%e3%81%84%e3%81%9f%e5%88%b6%e9%99%90%e3%83%9c%e3%83%ab%e3%83%84\/#%E5%AE%9F%E9%A8%931_%E7%94%BB%E5%83%8F%E5%88%86%E9%A1%9E\" >\u5b9f\u9a131 : \u753b\u50cf\u5206\u985e<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-20\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2026\/06\/17\/%e3%80%90%e5%ae%9f%e8%b7%b5%e7%b7%a8%e3%80%91d-wave%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%a9%e3%83%bc%e3%82%92%e7%94%a8%e3%81%84%e3%81%9f%e5%88%b6%e9%99%90%e3%83%9c%e3%83%ab%e3%83%84\/#%E5%AE%9F%E9%A8%932_%E7%94%BB%E5%83%8F%E5%86%8D%E6%A7%8B%E6%88%90\" >\u5b9f\u9a132 \u753b\u50cf\u518d\u69cb\u6210<\/a><ul class='ez-toc-list-level-4' ><li class='ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-21\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2026\/06\/17\/%e3%80%90%e5%ae%9f%e8%b7%b5%e7%b7%a8%e3%80%91d-wave%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%a9%e3%83%bc%e3%82%92%e7%94%a8%e3%81%84%e3%81%9f%e5%88%b6%e9%99%90%e3%83%9c%e3%83%ab%e3%83%84\/#%E7%94%BB%E5%83%8F%E5%86%8D%E6%A7%8B%E6%88%90%E3%81%AE%E7%B5%90%E6%9E%9C\" >\u753b\u50cf\u518d\u69cb\u6210\u306e\u7d50\u679c<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-22\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2026\/06\/17\/%e3%80%90%e5%ae%9f%e8%b7%b5%e7%b7%a8%e3%80%91d-wave%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%a9%e3%83%bc%e3%82%92%e7%94%a8%e3%81%84%e3%81%9f%e5%88%b6%e9%99%90%e3%83%9c%e3%83%ab%e3%83%84\/#%E7%94%BB%E5%83%8F%E5%86%8D%E6%A7%8B%E6%88%90%E3%81%AE%E3%82%A8%E3%83%A9%E3%83%BC%E5%88%86%E5%B8%83\" >\u753b\u50cf\u518d\u69cb\u6210\u306e\u30a8\u30e9\u30fc\u5206\u5e03<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-23\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2026\/06\/17\/%e3%80%90%e5%ae%9f%e8%b7%b5%e7%b7%a8%e3%80%91d-wave%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%a9%e3%83%bc%e3%82%92%e7%94%a8%e3%81%84%e3%81%9f%e5%88%b6%e9%99%90%e3%83%9c%e3%83%ab%e3%83%84\/#%E5%AE%9F%E9%A8%933_%E5%AF%BE%E6%95%B0%E5%B0%A4%E5%BA%A6%E6%AF%94%E8%BC%83\" >\u5b9f\u9a133 \u5bfe\u6570\u5c24\u5ea6\u6bd4\u8f03<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-24\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2026\/06\/17\/%e3%80%90%e5%ae%9f%e8%b7%b5%e7%b7%a8%e3%80%91d-wave%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%a9%e3%83%bc%e3%82%92%e7%94%a8%e3%81%84%e3%81%9f%e5%88%b6%e9%99%90%e3%83%9c%e3%83%ab%e3%83%84\/#%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-25\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2026\/06\/17\/%e3%80%90%e5%ae%9f%e8%b7%b5%e7%b7%a8%e3%80%91d-wave%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%a9%e3%83%bc%e3%82%92%e7%94%a8%e3%81%84%e3%81%9f%e5%88%b6%e9%99%90%e3%83%9c%e3%83%ab%e3%83%84\/#%E3%81%82%E3%81%A8%E3%81%8C%E3%81%8D\" >\u3042\u3068\u304c\u304d<\/a><\/li><\/ul><\/nav><\/div>\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<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<p>\u89e3\u8aac\u8a18\u4e8b\u300c<a href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2026\/03\/25\/d-wave%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%a9%e3%83%bc%e3%82%92%e7%94%a8%e3%81%84%e3%81%9f%e5%88%b6%e9%99%90%e3%83%9c%e3%83%ab%e3%83%84%e3%83%9e%e3%83%b3%e3%83%9e%e3%82%b7%e3%83%b3\/\">D-Wave\u91cf\u5b50\u30a2\u30cb\u30fc\u30e9\u30fc\u3092\u7528\u3044\u305f\u5236\u9650\u30dc\u30eb\u30c4\u30de\u30f3\u30de\u30b7\u30f3\u306e\u5b66\u7fd2<\/a>\u300d\u3067\u306fCD-1\u3067\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u3057\u3066\u5b66\u7fd2\u3055\u308c\u305fRBM\u3068QA\u304b\u3089\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u3057\u3066\u5b66\u7fd2\u3055\u308c\u305fRBM\u3092\u4f7f\u3063\u3066\u3001BAS\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u306e\u753b\u50cf\u5206\u985e\u3068\u753b\u50cf\u518d\u69cb\u6210\u304a\u3088\u3073\u5bfe\u6570\u5c24\u5ea6\u306e\u6027\u80fd\u3092\u6bd4\u8f03\u3059\u308b\u3068\u3044\u3046\u8ad6\u6587\u3092\u7d39\u4ecb\u3057\u307e\u3057\u305f\u3002\u672c\u8a18\u4e8b\u3067\u306f\u3001\u5b9f\u969b\u306b\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u3092\u5b9f\u88c5\u3057\u3001\u5143\u8ad6\u6587\u306e\u518d\u73fe\u5b9f\u9a13\u3092\u884c\u3044\u307e\u3059\u3002\u4eca\u56de\u306fQA\u306e\u4ee3\u308f\u308a\u306b\u30b7\u30df\u30e5\u30ec\u30fc\u30c6\u30c3\u30c9\u30fb\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0(SA)\u3092\u7528\u3044\u307e\u3057\u305f\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\"><\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\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<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<ul>\n<li>\u30bf\u30a4\u30c8\u30eb : Training Restricted Boltzmann Machines With a D-Wave Quantum Annealer<\/li>\n<li>\u8457\u8005 : Vivek Dixit, Raja Selvarajan, Muhammad A. Alam, Travis S. Humble and Sabre Kais<\/li>\n<li>\u66f8\u8a8c\u60c5\u5831 : <a href=\"https:\/\/doi.org\/10.3389\/fphy.2021.589626\">https:\/\/doi.org\/10.3389\/fphy.2021.589626<\/a><\/li>\n<\/ul>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<h2><span class=\"ez-toc-section\" id=\"%E6%BA%96%E5%82%99\"><\/span>\u6e96\u5099<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<h3><span class=\"ez-toc-section\" id=\"%E3%83%A9%E3%82%A4%E3%83%96%E3%83%A9%E3%83%AA%E3%81%AE%E3%82%A4%E3%83%B3%E3%82%B9%E3%83%88%E3%83%BC%E3%83%AB%E3%81%A8%E3%82%A4%E3%83%B3%E3%83%9D%E3%83%BC%E3%83%88\"><\/span>\u30e9\u30a4\u30d6\u30e9\u30ea\u306e\u30a4\u30f3\u30b9\u30c8\u30fc\u30eb\u3068\u30a4\u30f3\u30dd\u30fc\u30c8<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\"highlight hl-python\">\n<pre><span><\/span><span class=\"err\">!<\/span><span class=\"n\">pip<\/span> <span class=\"n\">install<\/span> <span class=\"n\">openjij<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"output_wrapper\">\n<div class=\"output\">\n<div class=\"output_area\">\n<div class=\"prompt\"><\/div>\n<div class=\"output_subarea output_stream output_stdout output_text\">\n<pre>Collecting openjij\r\n  Downloading openjij-0.11.6-cp312-cp312-manylinux_2_27_x86_64.manylinux_2_28_x86_64.whl.metadata (8.3 kB)\r\nRequirement already satisfied: numpy&lt;2.4.0,&gt;=1.19.3 in \/usr\/local\/lib\/python3.12\/dist-packages (from openjij) (2.0.2)\r\nCollecting dimod&lt;0.13.0,&gt;=0.9.11 (from openjij)\r\n  Downloading dimod-0.12.21-cp312-cp312-manylinux2014_x86_64.manylinux_2_17_x86_64.whl.metadata (4.0 kB)\r\nCollecting jij-cimod&lt;1.8.0,&gt;=1.7.0 (from openjij)\r\n  Downloading jij_cimod-1.7.3-cp312-cp312-manylinux_2_27_x86_64.manylinux_2_28_x86_64.whl.metadata (10.0 kB)\r\nCollecting scipy&lt;1.16,&gt;=1.5.4 (from jij-cimod&lt;1.8.0,&gt;=1.7.0-&gt;openjij)\r\n  Downloading scipy-1.15.3-cp312-cp312-manylinux_2_17_x86_64.manylinux2014_x86_64.whl.metadata (61 kB)\r\n     <span class=\"ansi-black-intense-fg\">\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501<\/span> <span class=\"ansi-green-fg\">62.0\/62.0 kB<\/span> <span class=\"ansi-red-fg\">2.1 MB\/s<\/span> eta <span class=\"ansi-cyan-fg\">0:00:00<\/span>\r\nDownloading openjij-0.11.6-cp312-cp312-manylinux_2_27_x86_64.manylinux_2_28_x86_64.whl (11.9 MB)\r\n   <span class=\"ansi-black-intense-fg\">\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501<\/span> <span class=\"ansi-green-fg\">11.9\/11.9 MB<\/span> <span class=\"ansi-red-fg\">11.4 MB\/s<\/span> eta <span class=\"ansi-cyan-fg\">0:00:00<\/span>\r\nDownloading dimod-0.12.21-cp312-cp312-manylinux2014_x86_64.manylinux_2_17_x86_64.whl (8.9 MB)\r\n   <span class=\"ansi-black-intense-fg\">\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501<\/span> <span class=\"ansi-green-fg\">8.9\/8.9 MB<\/span> <span class=\"ansi-red-fg\">62.0 MB\/s<\/span> eta <span class=\"ansi-cyan-fg\">0:00:00<\/span>\r\nDownloading jij_cimod-1.7.3-cp312-cp312-manylinux_2_27_x86_64.manylinux_2_28_x86_64.whl (11.6 MB)\r\n   <span class=\"ansi-black-intense-fg\">\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501<\/span> <span class=\"ansi-green-fg\">11.6\/11.6 MB<\/span> <span class=\"ansi-red-fg\">12.3 MB\/s<\/span> eta <span class=\"ansi-cyan-fg\">0:00:00<\/span>\r\nDownloading scipy-1.15.3-cp312-cp312-manylinux_2_17_x86_64.manylinux2014_x86_64.whl (37.3 MB)\r\n   <span class=\"ansi-black-intense-fg\">\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501<\/span> <span class=\"ansi-green-fg\">37.3\/37.3 MB<\/span> <span class=\"ansi-red-fg\">13.7 MB\/s<\/span> eta <span class=\"ansi-cyan-fg\">0:00:00<\/span>\r\nInstalling collected packages: scipy, dimod, jij-cimod, openjij\r\n  Attempting uninstall: scipy\r\n    Found existing installation: scipy 1.16.3\r\n    Uninstalling scipy-1.16.3:\r\n      Successfully uninstalled scipy-1.16.3\r\nSuccessfully installed dimod-0.12.21 jij-cimod-1.7.3 openjij-0.11.6 scipy-1.15.3\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\"highlight hl-python\">\n<pre><span><\/span><span class=\"kn\">import<\/span><span class=\"w\"> <\/span><span class=\"nn\">numpy<\/span><span class=\"w\"> <\/span><span class=\"k\">as<\/span><span class=\"w\"> <\/span><span class=\"nn\">np<\/span>\r\n<span class=\"kn\">import<\/span><span class=\"w\"> <\/span><span class=\"nn\">matplotlib.pyplot<\/span><span class=\"w\"> <\/span><span class=\"k\">as<\/span><span class=\"w\"> <\/span><span class=\"nn\">plt<\/span>\r\n<span class=\"kn\">import<\/span><span class=\"w\"> <\/span><span class=\"nn\">openjij<\/span><span class=\"w\"> <\/span><span class=\"k\">as<\/span><span class=\"w\"> <\/span><span class=\"nn\">oj<\/span>\r\n<span class=\"kn\">import<\/span><span class=\"w\"> <\/span><span class=\"nn\">itertools<\/span>\r\n<span class=\"kn\">from<\/span><span class=\"w\"> <\/span><span class=\"nn\">scipy.special<\/span><span class=\"w\"> <\/span><span class=\"kn\">import<\/span> <span class=\"n\">logsumexp<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<h3><span class=\"ez-toc-section\" id=\"BAS%E3%83%87%E3%83%BC%E3%82%BF%E3%82%BB%E3%83%83%E3%83%88%E3%81%AE%E6%BA%96%E5%82%99\"><\/span>BAS\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u306e\u6e96\u5099<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<h4><span class=\"ez-toc-section\" id=\"BAS%E3%83%87%E3%83%BC%E3%82%BF%E3%81%AE%E4%BD%9C%E6%88%90\"><\/span>BAS\u30c7\u30fc\u30bf\u306e\u4f5c\u6210<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<p>\u6a2a\u7e1e\u306e\u30c7\u30fc\u30bf(Bars)\u3068\u7e26\u7e1e\u306e\u30c7\u30fc\u30bf(Stripes)\u304b\u3089\u6210\u308bBAS\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u3092\u4f5c\u6210\u3057\u307e\u3059\u3002\u753b\u50cf\u306e\u30b5\u30a4\u30ba\u306f64\u30d3\u30c3\u30c8\u306b\u3057\u3001\u6700\u5f8c\u306e2\u30d3\u30c3\u30c8\u3092\u753b\u50cf\u5206\u985e\u306e\u5224\u5b9a\u306b\u4f7f\u3046\u305f\u3081\u3001\u6a2a\u7e1e\u306e\u6642\u306f01\u3001\u7e26\u7e1e\u306e\u6642\u306f10\u306e\u30e9\u30d9\u30eb\u3092\u4ed8\u3051\u307e\u3059\u3002256\u679a\u306eBars\u3068256\u679a\u306eStripes\u306e\u8a08512\u679a\u306e\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u304c\u4f5c\u6210\u3055\u308c\u307e\u3059\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\"highlight hl-python\">\n<pre><span><\/span><span class=\"k\">def<\/span><span class=\"w\"> <\/span><span class=\"nf\">generate_bas_dataset<\/span><span class=\"p\">():<\/span>\r\n    <span class=\"c1\">#\u753b\u50cf\u306e\u30b5\u30a4\u30ba<\/span>\r\n    <span class=\"n\">size<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">8<\/span>\r\n\r\n    <span class=\"c1\"># \u5168\u3066\u306e 8\u30d3\u30c3\u30c8\u306e\u30d1\u30bf\u30fc\u30f3\u3092\u751f\u6210(256\u901a\u308a)<\/span>\r\n    <span class=\"n\">all_patterns<\/span> <span class=\"o\">=<\/span> <span class=\"nb\">list<\/span><span class=\"p\">(<\/span><span class=\"n\">itertools<\/span><span class=\"o\">.<\/span><span class=\"n\">product<\/span><span class=\"p\">([<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"mi\">1<\/span><span class=\"p\">],<\/span> <span class=\"n\">repeat<\/span><span class=\"o\">=<\/span><span class=\"n\">size<\/span><span class=\"p\">))<\/span>\r\n    <span class=\"n\">all_patterns<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">array<\/span><span class=\"p\">(<\/span><span class=\"n\">all_patterns<\/span><span class=\"p\">)<\/span>\r\n\r\n    <span class=\"n\">dataset<\/span> <span class=\"o\">=<\/span> <span class=\"p\">[]<\/span>\r\n\r\n    <span class=\"c1\"># Bars (\u6a2a\u7e1e) \u306e\u751f\u6210(\u5404\u884c\u304c\u540c\u3058\u5024\u3092\u6301\u3064\u30d1\u30bf\u30fc\u30f3)<\/span>\r\n    <span class=\"k\">for<\/span> <span class=\"n\">pat<\/span> <span class=\"ow\">in<\/span> <span class=\"n\">all_patterns<\/span><span class=\"p\">:<\/span>\r\n\r\n        <span class=\"c1\"># \u884c\u3054\u3068\u306bON\/OFF\u304c\u6c7a\u307e\u308b<\/span>\r\n        <span class=\"c1\">#pat\u306f\u4e00\u6b21\u5143\u914d\u5217\u3001pat.reshape(-1, 1)\u3067\u7e26\u30d9\u30af\u30c8\u30eb\u306e2\u6b21\u5143\u914d\u5217(8, 1)\u3092\u4f5c\u6210<\/span>\r\n        <span class=\"c1\">#np.tile\u3067\u540c\u3058\u30bf\u30a4\u30eb\u3092\u6577\u304d\u8a70\u3081\u308b\u3002(1, size=8)\u3088\u308a\u7e26\u65b9\u5411\u306b8\u56de\u540c\u3058\u3082\u306e\u3092\u30b3\u30d4\u30fc\u3057\u3066\u4e26\u3079\u308b\u3002<\/span>\r\n        <span class=\"n\">img<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">tile<\/span><span class=\"p\">(<\/span><span class=\"n\">pat<\/span><span class=\"o\">.<\/span><span class=\"n\">reshape<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"mi\">1<\/span><span class=\"p\">,<\/span> <span class=\"mi\">1<\/span><span class=\"p\">),<\/span> <span class=\"p\">(<\/span><span class=\"mi\">1<\/span><span class=\"p\">,<\/span> <span class=\"n\">size<\/span><span class=\"p\">))<\/span>\r\n\r\n        <span class=\"c1\"># \u30d5\u30e9\u30c3\u30c8\u5316\u3057\u30661\u6b21\u5143\u914d\u5217 (64\u30d3\u30c3\u30c8) \u306b\u3059\u308b<\/span>\r\n        <span class=\"n\">flat_img<\/span> <span class=\"o\">=<\/span> <span class=\"n\">img<\/span><span class=\"o\">.<\/span><span class=\"n\">flatten<\/span><span class=\"p\">()<\/span>\r\n\r\n        <span class=\"c1\"># 64\u30d3\u30c3\u30c8\u753b\u50cf\u304b\u3089\u5148\u982d62\u30d3\u30c3\u30c8\u3092\u53d6\u5f97\uff08\u5b9f\u8cea\u7684\u306b\u6700\u5f8c\u306e2\u30d4\u30af\u30bb\u30eb\u3092\u524a\u9664\uff09<\/span>\r\n        <span class=\"n\">input_bits<\/span> <span class=\"o\">=<\/span> <span class=\"n\">flat_img<\/span><span class=\"p\">[:<\/span><span class=\"mi\">62<\/span><span class=\"p\">]<\/span>\r\n\r\n        <span class=\"c1\"># \u30e9\u30d9\u30ebBars = 01<\/span>\r\n        <span class=\"n\">label<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">array<\/span><span class=\"p\">([<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"mi\">1<\/span><span class=\"p\">])<\/span>\r\n\r\n        <span class=\"c1\"># 62\u30d3\u30c3\u30c8\u306e\u30c7\u30fc\u30bf + 2\u30d3\u30c3\u30c8\u306e\u30e9\u30d9\u30eb<\/span>\r\n        <span class=\"n\">record<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">concatenate<\/span><span class=\"p\">([<\/span><span class=\"n\">input_bits<\/span><span class=\"p\">,<\/span> <span class=\"n\">label<\/span><span class=\"p\">])<\/span>\r\n        <span class=\"n\">dataset<\/span><span class=\"o\">.<\/span><span class=\"n\">append<\/span><span class=\"p\">(<\/span><span class=\"n\">record<\/span><span class=\"p\">)<\/span>\r\n\r\n    <span class=\"c1\"># Stripes (\u7e26\u7e1e) \u306e\u751f\u6210(\u5404\u5217\u304c\u540c\u3058\u5024\u3092\u6301\u3064\u30d1\u30bf\u30fc\u30f3)<\/span>\r\n    <span class=\"k\">for<\/span> <span class=\"n\">pat<\/span> <span class=\"ow\">in<\/span> <span class=\"n\">all_patterns<\/span><span class=\"p\">:<\/span>\r\n\r\n        <span class=\"n\">img<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">tile<\/span><span class=\"p\">(<\/span><span class=\"n\">pat<\/span><span class=\"o\">.<\/span><span class=\"n\">reshape<\/span><span class=\"p\">(<\/span><span class=\"mi\">1<\/span><span class=\"p\">,<\/span> <span class=\"o\">-<\/span><span class=\"mi\">1<\/span><span class=\"p\">),<\/span> <span class=\"p\">(<\/span><span class=\"n\">size<\/span><span class=\"p\">,<\/span> <span class=\"mi\">1<\/span><span class=\"p\">))<\/span>\r\n\r\n        <span class=\"n\">flat_img<\/span> <span class=\"o\">=<\/span> <span class=\"n\">img<\/span><span class=\"o\">.<\/span><span class=\"n\">flatten<\/span><span class=\"p\">()<\/span>\r\n\r\n        <span class=\"n\">input_bits<\/span> <span class=\"o\">=<\/span> <span class=\"n\">flat_img<\/span><span class=\"p\">[:<\/span><span class=\"mi\">62<\/span><span class=\"p\">]<\/span>\r\n\r\n        <span class=\"c1\"># \u30e9\u30d9\u30ebStripes = 10<\/span>\r\n        <span class=\"n\">label<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">array<\/span><span class=\"p\">([<\/span><span class=\"mi\">1<\/span><span class=\"p\">,<\/span> <span class=\"mi\">0<\/span><span class=\"p\">])<\/span>\r\n\r\n        <span class=\"n\">record<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">concatenate<\/span><span class=\"p\">([<\/span><span class=\"n\">input_bits<\/span><span class=\"p\">,<\/span> <span class=\"n\">label<\/span><span class=\"p\">])<\/span>\r\n        <span class=\"n\">dataset<\/span><span class=\"o\">.<\/span><span class=\"n\">append<\/span><span class=\"p\">(<\/span><span class=\"n\">record<\/span><span class=\"p\">)<\/span>\r\n\r\n    <span class=\"k\">return<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">array<\/span><span class=\"p\">(<\/span><span class=\"n\">dataset<\/span><span class=\"p\">)<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<h4><span class=\"ez-toc-section\" id=\"BAS%E3%83%87%E3%83%BC%E3%82%BF%E3%81%AE%E7%A2%BA%E8%AA%8D\"><\/span>BAS\u30c7\u30fc\u30bf\u306e\u78ba\u8a8d<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<p>\u6b63\u3057\u304fBAS\u30c7\u30fc\u30bf\u304c\u4f5c\u6210\u3055\u308c\u3066\u3044\u308b\u304b\u78ba\u8a8d\u3059\u308b\u305f\u3081\u306b\u3001\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u304b\u3089\u30e9\u30f3\u30c0\u30e0\u306b5\u679a\u3001\u753b\u50cf\u3068\u3057\u3066\u53ef\u8996\u5316\u3057\u307e\u3059\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\"highlight hl-python\">\n<pre><span><\/span><span class=\"k\">def<\/span><span class=\"w\"> <\/span><span class=\"nf\">visualize_samples<\/span><span class=\"p\">(<\/span><span class=\"n\">dataset<\/span><span class=\"p\">,<\/span> <span class=\"n\">num_samples<\/span><span class=\"o\">=<\/span><span class=\"mi\">5<\/span><span class=\"p\">):<\/span>\r\n\r\n    <span class=\"c1\"># \u30e9\u30f3\u30c0\u30e0\u306b\u30b5\u30f3\u30d7\u30eb\u62bd\u51fa<\/span>\r\n    <span class=\"n\">indices<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">random<\/span><span class=\"o\">.<\/span><span class=\"n\">choice<\/span><span class=\"p\">(<\/span><span class=\"nb\">len<\/span><span class=\"p\">(<\/span><span class=\"n\">dataset<\/span><span class=\"p\">),<\/span> <span class=\"n\">num_samples<\/span><span class=\"p\">,<\/span> <span class=\"n\">replace<\/span><span class=\"o\">=<\/span><span class=\"kc\">False<\/span><span class=\"p\">)<\/span>\r\n\r\n    <span class=\"n\">fig<\/span><span class=\"p\">,<\/span> <span class=\"n\">axes<\/span> <span class=\"o\">=<\/span> <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">subplots<\/span><span class=\"p\">(<\/span><span class=\"mi\">1<\/span><span class=\"p\">,<\/span> <span class=\"n\">num_samples<\/span><span class=\"p\">,<\/span> <span class=\"n\">figsize<\/span><span class=\"o\">=<\/span><span class=\"p\">(<\/span><span class=\"mi\">15<\/span><span class=\"p\">,<\/span> <span class=\"mi\">3<\/span><span class=\"p\">))<\/span>\r\n\r\n    <span class=\"k\">for<\/span> <span class=\"n\">i<\/span><span class=\"p\">,<\/span> <span class=\"n\">idx<\/span> <span class=\"ow\">in<\/span> <span class=\"nb\">enumerate<\/span><span class=\"p\">(<\/span><span class=\"n\">indices<\/span><span class=\"p\">):<\/span>\r\n        <span class=\"n\">record<\/span> <span class=\"o\">=<\/span> <span class=\"n\">dataset<\/span><span class=\"p\">[<\/span><span class=\"n\">idx<\/span><span class=\"p\">]<\/span>\r\n\r\n        <span class=\"c1\"># \u6700\u5f8c\u306e2\u30d3\u30c3\u30c8\u306f\u30e9\u30d9\u30eb<\/span>\r\n        <span class=\"n\">label_bits<\/span> <span class=\"o\">=<\/span> <span class=\"n\">record<\/span><span class=\"p\">[<\/span><span class=\"o\">-<\/span><span class=\"mi\">2<\/span><span class=\"p\">:]<\/span>\r\n        <span class=\"k\">if<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">array_equal<\/span><span class=\"p\">(<\/span><span class=\"n\">label_bits<\/span><span class=\"p\">,<\/span> <span class=\"p\">[<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"mi\">1<\/span><span class=\"p\">]):<\/span>\r\n            <span class=\"n\">label_name<\/span> <span class=\"o\">=<\/span> <span class=\"s2\">\"Bar (01)\"<\/span>\r\n        <span class=\"k\">elif<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">array_equal<\/span><span class=\"p\">(<\/span><span class=\"n\">label_bits<\/span><span class=\"p\">,<\/span> <span class=\"p\">[<\/span><span class=\"mi\">1<\/span><span class=\"p\">,<\/span> <span class=\"mi\">0<\/span><span class=\"p\">]):<\/span>\r\n            <span class=\"n\">label_name<\/span> <span class=\"o\">=<\/span> <span class=\"s2\">\"Stripe (10)\"<\/span>\r\n        <span class=\"k\">else<\/span><span class=\"p\">:<\/span>\r\n            <span class=\"n\">label_name<\/span> <span class=\"o\">=<\/span> <span class=\"s2\">\"Unknown\"<\/span>\r\n\r\n        <span class=\"c1\"># \u30e9\u30d9\u30eb\u4ed8\u304d\u306eBAS\u30c7\u30fc\u30bf\u306e\u753b\u50cf<\/span>\r\n        <span class=\"n\">img_reconstructed<\/span> <span class=\"o\">=<\/span> <span class=\"n\">record<\/span><span class=\"o\">.<\/span><span class=\"n\">reshape<\/span><span class=\"p\">(<\/span><span class=\"mi\">8<\/span><span class=\"p\">,<\/span> <span class=\"mi\">8<\/span><span class=\"p\">)<\/span>\r\n\r\n        <span class=\"n\">axes<\/span><span class=\"p\">[<\/span><span class=\"n\">i<\/span><span class=\"p\">]<\/span><span class=\"o\">.<\/span><span class=\"n\">imshow<\/span><span class=\"p\">(<\/span><span class=\"n\">img_reconstructed<\/span><span class=\"p\">,<\/span> <span class=\"n\">cmap<\/span><span class=\"o\">=<\/span><span class=\"s1\">'cividis'<\/span><span class=\"p\">)<\/span> <span class=\"c1\"># \u8ad6\u6587\u306e\u9ec4\u8272\u30fb\u9752\u306b\u8fd1\u3044\u8272\u5473<\/span>\r\n        <span class=\"n\">axes<\/span><span class=\"p\">[<\/span><span class=\"n\">i<\/span><span class=\"p\">]<\/span><span class=\"o\">.<\/span><span class=\"n\">set_title<\/span><span class=\"p\">(<\/span><span class=\"sa\">f<\/span><span class=\"s2\">\"Idx: <\/span><span class=\"si\">{<\/span><span class=\"n\">idx<\/span><span class=\"si\">}<\/span><span class=\"se\">\\n<\/span><span class=\"si\">{<\/span><span class=\"n\">label_name<\/span><span class=\"si\">}<\/span><span class=\"s2\">\"<\/span><span class=\"p\">)<\/span>\r\n        <span class=\"n\">axes<\/span><span class=\"p\">[<\/span><span class=\"n\">i<\/span><span class=\"p\">]<\/span><span class=\"o\">.<\/span><span class=\"n\">axis<\/span><span class=\"p\">(<\/span><span class=\"s1\">'off'<\/span><span class=\"p\">)<\/span>\r\n\r\n    <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">tight_layout<\/span><span class=\"p\">()<\/span>\r\n    <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">show<\/span><span class=\"p\">()<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<p>\u753b\u50cf\u3092\u53ef\u8996\u5316\u3057\u307e\u3059\u3002\u9ec4\u8272\u304c1\u306b\u3001\u9ed2\u304c0\u306b\u5bfe\u5fdc\u3057\u307e\u3059\u3002\u753b\u50cf\u306e\u53f3\u4e0b\u304c01\u306e\u6642\u306b\u6a2a\u7e1e\u3068\u306a\u308a\u300110\u306e\u6642\u306b\u7e26\u7e1e\u3068\u306a\u308b\u69d8\u5b50\u304c\u78ba\u8a8d\u3067\u304d\u307e\u3059\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\"highlight hl-python\">\n<pre><span><\/span><span class=\"n\">bas_dataset<\/span> <span class=\"o\">=<\/span> <span class=\"n\">generate_bas_dataset<\/span><span class=\"p\">()<\/span>\r\n\r\n<span class=\"nb\">print<\/span><span class=\"p\">(<\/span><span class=\"sa\">f<\/span><span class=\"s2\">\"\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u5f62\u72b6: <\/span><span class=\"si\">{<\/span><span class=\"n\">bas_dataset<\/span><span class=\"o\">.<\/span><span class=\"n\">shape<\/span><span class=\"si\">}<\/span><span class=\"s2\">\"<\/span><span class=\"p\">)<\/span> <span class=\"c1\"># \u671f\u5f85\u5024: (512, 64)<\/span>\r\n<span class=\"nb\">print<\/span><span class=\"p\">(<\/span><span class=\"sa\">f<\/span><span class=\"s2\">\"\u5185\u8a33: Bars 256\u500b + Stripes 256\u500b\"<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u30c7\u30fc\u30bf\u306e\u53ef\u8996\u5316<\/span>\r\n<span class=\"n\">visualize_samples<\/span><span class=\"p\">(<\/span><span class=\"n\">bas_dataset<\/span><span class=\"p\">)<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"output_wrapper\">\n<div class=\"output\">\n<div class=\"output_area\">\n<div class=\"prompt\"><\/div>\n<div class=\"output_subarea output_stream output_stdout output_text\">\n<pre>\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u5f62\u72b6: (512, 64)\r\n\u5185\u8a33: Bars 256\u500b + Stripes 256\u500b\r\n<\/pre>\n<\/div>\n<\/div>\n<div class=\"output_area\">\n<div class=\"prompt\"><\/div>\n<div class=\"output_png output_subarea\"><img decoding=\"async\" alt=\"No description has been provided for this image\" 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ApBTVAAAAAAAkpagGAAAAACApRTUAAAAAAEkpqgEAAAAASEpRDQAAAABAUopqAAAAAACSUlQDAAAAAJCUohoAAAAAgKQU1QAAAAAAJKWoBgAAAAAgKUU1AAAAAABJKaoBAAAAAEhKUQ0AAAAAQFKKagAAAAAAklJUAwAAAACQlKIaAAAAAICkFNUAAAAAACSlqAYAAAAAIClFNQAAAAAASSmqAQAAAABISlENAAAAAEBSimoAAAAAAJJSVAMAAAAAkJSiGgAAAACApBTVAAAAAAAkpagGAAAAACApRTUAAAAAAEm1SD0AwJ5Q+2h16hEAdkpGAXkmo4A8k1Hwj8MV1QAAAAAAJKWoBgAAAAAgKUU1AAAAAABJKaoBAAAAAEhKUQ0AAAAAQFKKagAAAAAAklJUAwAAAACQlKIaAAAAAICkFNUAAAAAACSlqAYAAAAAIClFNQAAAAAASSmqAQAAAABISlENAAAAAEBSimoAAAAAAJJSVAMAAAAAkJSiGgAAAACApBTVAAAAAAAkpagGAAAAACApRTUAAAAAAEkpqgEAAAAASEpRDQAAAABAUopqAAAAAACSUlQDAAAAAJCUohoAAAAAgKQU1QAAAAAAJKWoBgAAAAAgKUU1AAAAAABJKaoBAAAAAEhKUQ0AAAAAQFItGrqx+VfbNuYcwF6SvZJ6gsYho6BpaKoZBZBnvo6CpqGpfh0lo6BpaEhGuaIaAAAAAICkFNUAAAAAACSlqAYAAAAAIClFNQAAAAAASSmqAQAAAABISlENAAAAAEBSimoAAAAAAJJSVAMAAAAAkJSiGgAAAACApBTVAAAAAAAkpagGAAAAACApRTUAAAAAAEkpqgEAAAAASEpRDQAAAABAUopqAAAAAACSUlQDAAAAAJCUohoAAAAAgKQU1QAAAAAAJKWoBgAAAAAgKUU1AAAAAABJKaoBAAAAAEhKUQ0AAAAAQFKKagAAAAAAklJUAwAAAACQlKIaAAAAAICkFNUAAAAAACSlqAYAAAAAIClFNQAAAAAASSmqAQAAAABISlENAAAAAEBSLVIPAP+oah+tTj0CwE7JKGBXmn+1bbJjyyggz2TUnuXPk6bI11E75opqAAAAAACSUlQDAAAAAJCUohoAAAAAgKQU1QAAAAAAJKWoBgAAAAAgKUU1AAAAAABJKaoBAAAAAEhKUQ0AAAAAQFKKagAAAAAAklJUAwAAAACQlKIaAAAAAICkFNUAAAAAACSlqAYAAAAAIClFNQAAAAAASSmqAQAAAABISlENAAAAAEBSimoAAAAAAJJSVAMAAAAAkJSiGgAAAACApBTVAAAAAAAkpagGAAAAACApRTUAAAAAAEkpqgEAAAAASEpRDQAAAABAUopqAAAAAACSUlQDAAAAAJCUohoAAAAAgKQU1QAAAAAAJKWoBgAAAAAgqZIsy7LUQwAAAAAA8I\/LFdUAAAAAACSlqAYAAAAAIClFNQAAAAAASSmqAQAAAABISlENAAAAAEBSimoAAAAAAJJSVAMAAAAAkJSiGgAAAACApBTVAAAAAAAk9f9WTrQe5\/X8lAAAAABJRU5ErkJggg==\" \/><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<h3><span class=\"ez-toc-section\" id=\"RBM%E3%81%AE%E5%AE%9F%E8%A3%85\"><\/span>RBM\u306e\u5b9f\u88c5<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<h4><span class=\"ez-toc-section\" id=\"RBM%E3%81%AE%E5%9F%BA%E6%9C%AC%E3%81%AE%E5%AE%9F%E8%A3%85\"><\/span>RBM\u306e\u57fa\u672c\u306e\u5b9f\u88c5<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\"highlight hl-python\">\n<pre><span><\/span><span class=\"k\">def<\/span><span class=\"w\"> <\/span><span class=\"fm\">__init__<\/span><span class=\"p\">(<\/span><span class=\"bp\">self<\/span><span class=\"p\">,<\/span> <span class=\"n\">n_visible<\/span><span class=\"p\">,<\/span> <span class=\"n\">n_hidden<\/span><span class=\"p\">,<\/span> <span class=\"n\">learning_rate<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.05<\/span><span class=\"p\">):<\/span>\r\n<span class=\"w\">    <\/span><span class=\"sd\">\"\"\"<\/span>\r\n<span class=\"sd\">    n_visible: \u53ef\u8996\u5c64\u306e\u30e6\u30cb\u30c3\u30c8\u6570<\/span>\r\n<span class=\"sd\">    n_hidden: \u96a0\u308c\u5c64\u306e\u30e6\u30cb\u30c3\u30c8\u6570<\/span>\r\n<span class=\"sd\">    learning_rate: \u5b66\u7fd2\u7387<\/span>\r\n<span class=\"sd\">    W: \u91cd\u307f\u884c\u5217(0\u4ed8\u8fd1\u306e\u5024\u3067\u521d\u671f\u5316)<\/span>\r\n<span class=\"sd\">    b: \u53ef\u8996\u5c64\u306e\u30d0\u30a4\u30a2\u30b9(0\u3067\u521d\u671f\u5316)<\/span>\r\n<span class=\"sd\">    c: \u96a0\u308c\u5c64\u306e\u30d0\u30a4\u30a2\u30b9(0\u3067\u521d\u671f\u5316)<\/span>\r\n<span class=\"sd\">    \"\"\"<\/span>\r\n    <span class=\"bp\">self<\/span><span class=\"o\">.<\/span><span class=\"n\">n_visible<\/span> <span class=\"o\">=<\/span> <span class=\"n\">n_visible<\/span>\r\n    <span class=\"bp\">self<\/span><span class=\"o\">.<\/span><span class=\"n\">n_hidden<\/span> <span class=\"o\">=<\/span> <span class=\"n\">n_hidden<\/span>\r\n    <span class=\"bp\">self<\/span><span class=\"o\">.<\/span><span class=\"n\">lr<\/span> <span class=\"o\">=<\/span> <span class=\"n\">learning_rate<\/span>\r\n    <span class=\"bp\">self<\/span><span class=\"o\">.<\/span><span class=\"n\">W<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">random<\/span><span class=\"o\">.<\/span><span class=\"n\">normal<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"mf\">0.01<\/span><span class=\"p\">,<\/span> <span class=\"p\">(<\/span><span class=\"n\">n_visible<\/span><span class=\"p\">,<\/span> <span class=\"n\">n_hidden<\/span><span class=\"p\">))<\/span>\r\n    <span class=\"bp\">self<\/span><span class=\"o\">.<\/span><span class=\"n\">b<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">zeros<\/span><span class=\"p\">(<\/span><span class=\"n\">n_visible<\/span><span class=\"p\">)<\/span>\r\n    <span class=\"bp\">self<\/span><span class=\"o\">.<\/span><span class=\"n\">c<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">zeros<\/span><span class=\"p\">(<\/span><span class=\"n\">n_hidden<\/span><span class=\"p\">)<\/span>\r\n\r\n    <span class=\"c1\"># \u5b9f\u9a131\u3001\u5b9f\u9a133\u3067\u30a8\u30dd\u30c3\u30af\u6bce\u306e\u6b63\u89e3\u7387\u3068\u5bfe\u6570\u5c24\u5ea6\u3092\u3082\u3068\u3081\u308b\u305f\u3081\u306b\u4fdd\u5b58\u7528\u306e\u30ea\u30b9\u30c8\u3092\u4f5c\u308b<\/span>\r\n    <span class=\"bp\">self<\/span><span class=\"o\">.<\/span><span class=\"n\">history<\/span> <span class=\"o\">=<\/span> <span class=\"p\">{<\/span><span class=\"s1\">'bars_acc'<\/span><span class=\"p\">:<\/span> <span class=\"p\">[],<\/span> <span class=\"s1\">'stripes_acc'<\/span><span class=\"p\">:<\/span> <span class=\"p\">[],<\/span> <span class=\"s1\">'ll'<\/span><span class=\"p\">:<\/span> <span class=\"p\">[]}<\/span>\r\n\r\n<span class=\"c1\"># \u30b7\u30b0\u30e2\u30a4\u30c9\u95a2\u6570<\/span>\r\n<span class=\"k\">def<\/span><span class=\"w\"> <\/span><span class=\"nf\">sigmoid<\/span><span class=\"p\">(<\/span><span class=\"bp\">self<\/span><span class=\"p\">,<\/span> <span class=\"n\">x<\/span><span class=\"p\">):<\/span>\r\n    <span class=\"k\">return<\/span> <span class=\"mf\">1.0<\/span> <span class=\"o\">\/<\/span> <span class=\"p\">(<\/span><span class=\"mf\">1.0<\/span> <span class=\"o\">+<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">exp<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">clip<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">,<\/span> <span class=\"o\">-<\/span><span class=\"mi\">500<\/span><span class=\"p\">,<\/span> <span class=\"mi\">500<\/span><span class=\"p\">)))<\/span>\r\n\r\n<span class=\"c1\"># \u53ef\u8996\u5c64\u306e\u72b6\u614b\u304b\u3089\u96a0\u308c\u5c64\u306e\u5024\u3092\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u3059\u308b\u95a2\u6570<\/span>\r\n<span class=\"k\">def<\/span><span class=\"w\"> <\/span><span class=\"nf\">sample_h_given_v<\/span><span class=\"p\">(<\/span><span class=\"bp\">self<\/span><span class=\"p\">,<\/span> <span class=\"n\">v<\/span><span class=\"p\">):<\/span>\r\n    <span class=\"c1\"># \u96a0\u308c\u5c64\u306e\u30e6\u30cb\u30c3\u30c8\u304c1\u306b\u306a\u308b\u78ba\u7387\u3092\u53ef\u8996\u5c64\u306e\u5024\u3092\u57fa\u306b\u8a08\u7b97<\/span>\r\n    <span class=\"n\">prob_h<\/span> <span class=\"o\">=<\/span> <span class=\"bp\">self<\/span><span class=\"o\">.<\/span><span class=\"n\">sigmoid<\/span><span class=\"p\">(<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">dot<\/span><span class=\"p\">(<\/span><span class=\"n\">v<\/span><span class=\"p\">,<\/span> <span class=\"bp\">self<\/span><span class=\"o\">.<\/span><span class=\"n\">W<\/span><span class=\"p\">)<\/span> <span class=\"o\">+<\/span> <span class=\"bp\">self<\/span><span class=\"o\">.<\/span><span class=\"n\">c<\/span><span class=\"p\">)<\/span>\r\n    <span class=\"c1\"># 0\u4ee5\u4e0a1\u4ee5\u4e0b\u306e\u4e00\u69d8\u5206\u5e03\u306b\u5f93\u3046\u4e71\u6570\u3092\u751f\u6210\u3057\u3001prob_h\u306e\u30e6\u30cb\u30c3\u30c8\u6bce\u306e\u5024\u3068\u6bd4\u8f03\u3057\u30660\u304b1\u3092\u6c7a\u3081\u308b<\/span>\r\n    <span class=\"n\">h_sample<\/span> <span class=\"o\">=<\/span> <span class=\"p\">(<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">random<\/span><span class=\"o\">.<\/span><span class=\"n\">rand<\/span><span class=\"p\">(<\/span><span class=\"o\">*<\/span><span class=\"n\">prob_h<\/span><span class=\"o\">.<\/span><span class=\"n\">shape<\/span><span class=\"p\">)<\/span> <span class=\"o\">&lt;<\/span> <span class=\"n\">prob_h<\/span><span class=\"p\">)<\/span><span class=\"o\">.<\/span><span class=\"n\">astype<\/span><span class=\"p\">(<\/span><span class=\"nb\">float<\/span><span class=\"p\">)<\/span>\r\n    <span class=\"k\">return<\/span> <span class=\"n\">prob_h<\/span><span class=\"p\">,<\/span> <span class=\"n\">h_sample<\/span>\r\n\r\n<span class=\"c1\"># \u96a0\u308c\u5c64\u306e\u72b6\u614b\u304b\u3089\u53ef\u8996\u5c64\u306e\u5024\u3092\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u3059\u308b\u95a2\u6570<\/span>\r\n<span class=\"k\">def<\/span><span class=\"w\"> <\/span><span class=\"nf\">sample_v_given_h<\/span><span class=\"p\">(<\/span><span class=\"bp\">self<\/span><span class=\"p\">,<\/span> <span class=\"n\">h<\/span><span class=\"p\">):<\/span>\r\n    <span class=\"n\">prob_v<\/span> <span class=\"o\">=<\/span> <span class=\"bp\">self<\/span><span class=\"o\">.<\/span><span class=\"n\">sigmoid<\/span><span class=\"p\">(<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">dot<\/span><span class=\"p\">(<\/span><span class=\"n\">h<\/span><span class=\"p\">,<\/span> <span class=\"bp\">self<\/span><span class=\"o\">.<\/span><span class=\"n\">W<\/span><span class=\"o\">.<\/span><span class=\"n\">T<\/span><span class=\"p\">)<\/span> <span class=\"o\">+<\/span> <span class=\"bp\">self<\/span><span class=\"o\">.<\/span><span class=\"n\">b<\/span><span class=\"p\">)<\/span>\r\n    <span class=\"n\">v_sample<\/span> <span class=\"o\">=<\/span> <span class=\"p\">(<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">random<\/span><span class=\"o\">.<\/span><span class=\"n\">rand<\/span><span class=\"p\">(<\/span><span class=\"o\">*<\/span><span class=\"n\">prob_v<\/span><span class=\"o\">.<\/span><span class=\"n\">shape<\/span><span class=\"p\">)<\/span> <span class=\"o\">&lt;<\/span> <span class=\"n\">prob_v<\/span><span class=\"p\">)<\/span><span class=\"o\">.<\/span><span class=\"n\">astype<\/span><span class=\"p\">(<\/span><span class=\"nb\">float<\/span><span class=\"p\">)<\/span>\r\n    <span class=\"k\">return<\/span> <span class=\"n\">prob_v<\/span><span class=\"p\">,<\/span> <span class=\"n\">v_sample<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<p>RBM\u306e\u5b66\u7fd2\u3067\u306f\u91cd\u307f\u3068\u30d0\u30a4\u30a2\u30b9\u3092\u66f4\u65b0\u3059\u308b\u305f\u3081\u306b\u5f0f(1)\u3001(2)\u3001(3)\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002(\u8a73\u7d30\u306f<a href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2026\/03\/25\/d-wave%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%a9%e3%83%bc%e3%82%92%e7%94%a8%e3%81%84%e3%81%9f%e5%88%b6%e9%99%90%e3%83%9c%e3%83%ab%e3%83%84%e3%83%9e%e3%83%b3%e3%83%9e%e3%82%b7%e3%83%b3\/\">\u89e3\u8aac\u8a18\u4e8b<\/a>\u3068<a href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2026\/03\/25\/%e3%83%9c%e3%83%ab%e3%83%84%e3%83%9e%e3%83%b3%e3%83%9e%e3%82%b7%e3%83%b3%e3%81%a8%e5%88%b6%e9%99%90%e3%83%9c%e3%83%ab%e3%83%84%e3%83%9e%e3%83%b3%e3%83%9e%e3%82%b7%e3%83%b3\/\">\u7528\u8a9e\u96c6<\/a>\u3092\u3054\u89a7\u304f\u3060\u3055\u3044\u3002) \u671f\u5f85\u5024$\\mathbb{E}_{P_\\theta(\\vec{V},\\vec{H})}[\u22c5]$\u306e\u53b3\u5bc6\u8a08\u7b97\u306f\u56f0\u96e3\u3067\u3042\u308b\u305f\u3081\u3001\u30e2\u30c7\u30eb\u5206\u5e03\u304b\u3089\u30b5\u30f3\u30d7\u30eb\u3092\u751f\u6210\u3057\u3001\u30b5\u30f3\u30d7\u30eb\u5e73\u5747\u306b\u3088\u3063\u3066\u8fd1\u4f3c\u3057\u307e\u3059\u3002<\/p>\n<p>$$ W_{ij} \\leftarrow W_{ij} + \\eta \\left( \\mathbb{E}_{P_{\\text{data}}(\\vec{v})P_\\theta(\\vec{h}\\mid \\vec{v})}[v_i h_j] &#8211; \\mathbb{E}_{P_\\theta(\\vec{V},\\vec{H})}[v_i h_j] \\right) \\tag{1} $$<\/p>\n<p>$$ b_i \\leftarrow b_i + \\eta \\left( \\mathbb{E}_{P_{\\text{data}}(\\vec{v})P_\\theta(\\vec{h}\\mid \\vec{v})}[v_i] &#8211; \\mathbb{E}_{P_\\theta(\\vec{V},\\vec{H})}[v_i] \\right) \\tag{2}$$<\/p>\n<p>$$ c_j \\leftarrow c_j + \\eta \\left( \\mathbb{E}_{P_{\\text{data}}(\\vec{v})P_\\theta(\\vec{h}\\mid \\vec{v})}[h_j] &#8211; \\mathbb{E}_{P_\\theta(\\vec{V},\\vec{H})}[h_j] \\right) \\tag{3}$$<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<p>\u8ad6\u6587\u3067\u306f\u671f\u5f85\u5024$\\mathbb{E}_{P_\\theta(\\vec{V},\\vec{H})}[\u22c5]$\u306e\u8a08\u7b97\u306b2\u901a\u308a\u306e\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u65b9\u6cd5\u3092\u7528\u3044\u3066\u3044\u307e\u3059\u3002\u4e00\u3064\u306f\u3001\u30b3\u30f3\u30c8\u30e9\u30b9\u30c6\u30a3\u30d6\u30fb\u30c0\u30a4\u30d0\u30fc\u30b8\u30a7\u30f3\u30b9(CD)\u3068\u3044\u3046\u3088\u304f\u4f7f\u308f\u308c\u308b\u65b9\u6cd5\u3067\u3001\u3082\u3046\u4e00\u3064\u306f\u91cf\u5b50\u30a2\u30cb\u30fc\u30e9\u30fc\u304b\u3089\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u3059\u308b\u65b9\u6cd5\u3067\u3059\u3002(\u8a73\u7d30\u306f<a href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2026\/03\/25\/d-wave%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%a9%e3%83%bc%e3%82%92%e7%94%a8%e3%81%84%e3%81%9f%e5%88%b6%e9%99%90%e3%83%9c%e3%83%ab%e3%83%84%e3%83%9e%e3%83%b3%e3%83%9e%e3%82%b7%e3%83%b3\/\">\u89e3\u8aac\u8a18\u4e8b<\/a>\u3068<a href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2026\/03\/25\/%e3%83%9c%e3%83%ab%e3%83%84%e3%83%9e%e3%83%b3%e3%83%9e%e3%82%b7%e3%83%b3%e3%81%a8%e5%88%b6%e9%99%90%e3%83%9c%e3%83%ab%e3%83%84%e3%83%9e%e3%83%b3%e3%83%9e%e3%82%b7%e3%83%b3\/\">\u7528\u8a9e\u96c6<\/a>\u3092\u3054\u89a7\u304f\u3060\u3055\u3044\u3002)<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<h4><span class=\"ez-toc-section\" id=\"CD-1%E3%81%AE%E3%82%B5%E3%83%B3%E3%83%97%E3%83%AA%E3%83%B3%E3%82%B0%E3%81%AB%E3%82%88%E3%82%8BRBM%E3%81%AE%E5%AD%A6%E7%BF%92%E9%96%A2%E6%95%B0%E3%81%AE%E5%AE%9F%E8%A3%85\"><\/span>CD-1\u306e\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u306b\u3088\u308bRBM\u306e\u5b66\u7fd2\u95a2\u6570\u306e\u5b9f\u88c5<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<p>\u307e\u305a\u3001\u8a13\u7df4\u30c7\u30fc\u30bf\u306e\u4e00\u3064$\\vec{v}^{(0)}$\u3092\u53ef\u8996\u5c64\u306b\u5165\u529b\u3057\u307e\u3059\u3002\u6b21\u306b\u5f0f(4)\u3067\u8868\u3055\u308c\u308b\u78ba\u7387\u306b\u5f93\u3063\u3066\u3001\u96a0\u308c\u5c64\u306e\u5024$\\vec{h}^{(0)}$\u3092\u6c7a\u3081\u307e\u3059\u3002\u3053\u306e\u6642\u3001\u78ba\u7387\u3092\u57fa\u306b\u6c7a\u3081\u3066\u3044\u308b\u306e\u3067\u3001\u5024\u306f\u4e00\u610f\u306b\u306f\u6c7a\u307e\u308a\u307e\u305b\u3093\u3002<\/p>\n<p>$$P(H_j = 1 \\mid \\vec{v}^{(0)}) = \\sigma \\left(b_i+\\sum_i W_{ij} v_i^{(0)}\\right) \\tag{4}$$<\/p>\n<p>\u6b21\u306b\u3001\u5f97\u3089\u308c\u305f\u96a0\u308c\u30e6\u30cb\u30c3\u30c8\u304b\u3089\u5f0f(5)\u306b\u5f93\u3063\u3066\u3001\u53ef\u8996\u5c64\u306e\u5024$\\vec{v}^{(1)}$\u3092\u6c7a\u3081\u307e\u3059\u3002<\/p>\n<p>$$P(V_i = 1 \\mid \\vec{h}^{(0)}) = \\sigma \\left(c_i+\\sum_j W_{ij} h_j^{(0)}\\right) \\tag{5}$$<\/p>\n<p>\u3055\u3089\u306b\u3001\u3082\u3046\u4e00\u5ea6\u96a0\u308c\u5c64\u306e\u5024$\\vec{h}^{(1)}$\u3092\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u3057\u307e\u3059\u3002<\/p>\n<p>$$P(H_j = 1 \\mid \\vec{v}^{(1)}) = \\sigma \\left(b_i+\\sum_i W_{ij} v_i^{(1)}\\right) \\tag{6}$$<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\"highlight hl-python\">\n<pre><span><\/span><span class=\"k\">def<\/span><span class=\"w\"> <\/span><span class=\"nf\">train_step_cd<\/span><span class=\"p\">(<\/span><span class=\"bp\">self<\/span><span class=\"p\">,<\/span> <span class=\"n\">batch<\/span><span class=\"p\">):<\/span>\r\n    <span class=\"n\">n_batch<\/span> <span class=\"o\">=<\/span> <span class=\"n\">batch<\/span><span class=\"o\">.<\/span><span class=\"n\">shape<\/span><span class=\"p\">[<\/span><span class=\"mi\">0<\/span><span class=\"p\">]<\/span>\r\n    <span class=\"c1\"># \u53ef\u8996\u5c64\u306b\u306f\u8a13\u7df4\u30c7\u30fc\u30bf\u3092\u5165\u529b<\/span>\r\n    <span class=\"n\">pos_v<\/span> <span class=\"o\">=<\/span> <span class=\"n\">batch<\/span>\r\n    <span class=\"n\">prob_h0<\/span><span class=\"p\">,<\/span> <span class=\"n\">pos_h<\/span> <span class=\"o\">=<\/span> <span class=\"bp\">self<\/span><span class=\"o\">.<\/span><span class=\"n\">sample_h_given_v<\/span><span class=\"p\">(<\/span><span class=\"n\">pos_v<\/span><span class=\"p\">)<\/span> <span class=\"c1\"># \u5f0f(4)<\/span>\r\n    <span class=\"n\">_<\/span><span class=\"p\">,<\/span> <span class=\"n\">neg_v<\/span> <span class=\"o\">=<\/span> <span class=\"bp\">self<\/span><span class=\"o\">.<\/span><span class=\"n\">sample_v_given_h<\/span><span class=\"p\">(<\/span><span class=\"n\">pos_h<\/span><span class=\"p\">)<\/span> <span class=\"c1\"># \u5f0f(5)<\/span>\r\n    <span class=\"n\">prob_h1<\/span><span class=\"p\">,<\/span> <span class=\"n\">_<\/span> <span class=\"o\">=<\/span> <span class=\"bp\">self<\/span><span class=\"o\">.<\/span><span class=\"n\">sample_h_given_v<\/span><span class=\"p\">(<\/span><span class=\"n\">neg_v<\/span><span class=\"p\">)<\/span> <span class=\"c1\"># \u5f0f(6)<\/span>\r\n\r\n    <span class=\"bp\">self<\/span><span class=\"o\">.<\/span><span class=\"n\">W<\/span> <span class=\"o\">+=<\/span> <span class=\"bp\">self<\/span><span class=\"o\">.<\/span><span class=\"n\">lr<\/span> <span class=\"o\">*<\/span> <span class=\"p\">(<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">dot<\/span><span class=\"p\">(<\/span><span class=\"n\">pos_v<\/span><span class=\"o\">.<\/span><span class=\"n\">T<\/span><span class=\"p\">,<\/span> <span class=\"n\">prob_h0<\/span><span class=\"p\">)<\/span> <span class=\"o\">-<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">dot<\/span><span class=\"p\">(<\/span><span class=\"n\">neg_v<\/span><span class=\"o\">.<\/span><span class=\"n\">T<\/span><span class=\"p\">,<\/span> <span class=\"n\">prob_h1<\/span><span class=\"p\">))<\/span> <span class=\"o\">\/<\/span> <span class=\"n\">n_batch<\/span> <span class=\"c1\"># \u5f0f(1)<\/span>\r\n    <span class=\"bp\">self<\/span><span class=\"o\">.<\/span><span class=\"n\">b<\/span> <span class=\"o\">+=<\/span> <span class=\"bp\">self<\/span><span class=\"o\">.<\/span><span class=\"n\">lr<\/span> <span class=\"o\">*<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">mean<\/span><span class=\"p\">(<\/span><span class=\"n\">pos_v<\/span> <span class=\"o\">-<\/span> <span class=\"n\">neg_v<\/span><span class=\"p\">,<\/span> <span class=\"n\">axis<\/span><span class=\"o\">=<\/span><span class=\"mi\">0<\/span><span class=\"p\">)<\/span> <span class=\"c1\"># \u5f0f(2)<\/span>\r\n    <span class=\"bp\">self<\/span><span class=\"o\">.<\/span><span class=\"n\">c<\/span> <span class=\"o\">+=<\/span> <span class=\"bp\">self<\/span><span class=\"o\">.<\/span><span class=\"n\">lr<\/span> <span class=\"o\">*<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">mean<\/span><span class=\"p\">(<\/span><span class=\"n\">prob_h0<\/span> <span class=\"o\">-<\/span> <span class=\"n\">prob_h1<\/span><span class=\"p\">,<\/span> <span class=\"n\">axis<\/span><span class=\"o\">=<\/span><span class=\"mi\">0<\/span><span class=\"p\">)<\/span> <span class=\"c1\"># \u5f0f(3)<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<h4><span class=\"ez-toc-section\" id=\"SA%E3%81%AE%E3%82%B5%E3%83%B3%E3%83%97%E3%83%AA%E3%83%B3%E3%82%B0%E3%81%AB%E3%82%88%E3%82%8BRBM%E3%81%AE%E5%AD%A6%E7%BF%92%E9%96%A2%E6%95%B0%E3%81%AE%E5%AE%9F%E8%A3%85\"><\/span>SA\u306e\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u306b\u3088\u308bRBM\u306e\u5b66\u7fd2\u95a2\u6570\u306e\u5b9f\u88c5<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<p>QA\u306b\u3088\u308b\u8a08\u7b97\u3092\u6a21\u3057\u305f\u30b7\u30df\u30e5\u30ec\u30fc\u30c6\u30c3\u30c9\u30fb\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0(SA)\u3067\u5b9f\u88c5\u3057\u307e\u3059\u3002\u5177\u4f53\u7684\u306b\u306fOpenJij\u306eSAsampler\u3092\u4f7f\u3063\u3066\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u3057\u307e\u3059\u3002\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u306e\u65b9\u6cd5\u306fQA\u3068\u540c\u3058\u3067\u3059\u3002<\/p>\n<ol>\n<li>QUBO\u3092\u4f5c\u308b<\/li>\n<li>\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u3059\u308b<\/li>\n<li>\u52fe\u914d\u3092\u8a08\u7b97\u3059\u308b<\/li>\n<li>QUBO\u3092\u66f4\u65b0\u3059\u308b<\/li>\n<li>1.\uff5e4.\u3092\u5024\u304c\u53ce\u675f\u3059\u308b\u307e\u3067\u884c\u3046<\/li>\n<\/ol>\n<p>QA\u306f\u5f0f(7)\u3092\u57fa\u306b\u4f5c\u3089\u308c\u305fQUBO\u3092\u4f7f\u3063\u3066\u3001\u30a8\u30cd\u30eb\u30ae\u30fc$E_\\theta(\\vec{v},\\vec{h})$\u3092\u6700\u5c0f\u306b\u3057\u307e\u3059\u3002<\/p>\n<p>$$ E_\\theta(\\vec{v},\\vec{h}) = -\\sum_{i=1}^{n} b_i v_i -\\sum_{j=1}^{m} c_j h_j -\\sum_{i=1}^{n}\\sum_{j=1}^{m} v_i W_{ij} h_j \\tag{7} $$<\/p>\n<p>QUBO\u306f\u4e0a\u4e09\u89d2\u884c\u5217\u3067\u3059\u3002\u5bfe\u89d2\u6210\u5206\u306f\u53ef\u8996\u30d0\u30a4\u30a2\u30b9(\u30ce\u30fc\u30c9\u6570$n$)\u3068\u96a0\u308c\u30d0\u30a4\u30a2\u30b9(\u30ce\u30fc\u30c9\u6570$m$)\u3067\u3042\u308a\u3001\u305d\u306e\u4ed6\u306f\u91cd\u307f\u3092\u8868\u3057\u307e\u3059\u3002train_step_sa\u95a2\u6570\u3092\u547c\u3073\u51fa\u3059\u6bce\u306b\u66f4\u65b0\u3055\u308c\u305f\u30d1\u30e9\u30e1\u30fc\u30bf\u3092\u4f7f\u3063\u3066QUBO\u304c\u4f5c\u6210\u3057\u76f4\u3055\u308c\u307e\u3059\u3002<\/p>\n<p>SA\u3067\u306f\u3001\u9ad8\u3044\u6e29\u5ea6(beta_min)\u304b\u3089\u4f4e\u3044\u6e29\u5ea6(beta_max)\u306b\u5909\u5316\u3055\u305b\u306a\u304c\u3089\u3001\u30a8\u30cd\u30eb\u30ae\u30fc\u304c\u6700\u5c0f\u3068\u306a\u308b$v_i$\u3068$h_j$\u306e\u5024\u3092\u63a2\u7d22\u3057\u3066\u3044\u304d\u307e\u3059\u3002\u3053\u306e\u6642\u3001num_sweeps\u306f\u3069\u306e\u304f\u3089\u3044\u306e\u7a0b\u5ea6\u3067\u6e29\u5ea6\u3092\u4e0b\u3052\u3066\u3044\u304f\u304b\u3092\u793a\u3057\u3001num_reads\u306f\u4f55\u56deSA\u3092\u884c\u3046\u304b\u3092\u793a\u3057\u307e\u3059\u3002num_sweeps\u306e\u5024\u304c\u5927\u304d\u3044\u3068\u3001\u3086\u3063\u304f\u308a\u3068\u6e29\u5ea6\u304c\u4e0b\u304c\u308b\u305f\u3081\u3001\u6700\u9069\u89e3\u304c\u898b\u3064\u304b\u308a\u3084\u3059\u304f\u3001num_reads\u306e\u5024\u304c\u5927\u304d\u3044\u3068\u3001\u30b5\u30f3\u30d7\u30eb\u304c\u5897\u3048\u308b\u306e\u3067\u3001\u5e73\u5747\u3059\u308b\u3068\u771f\u306e\u78ba\u7387\u5206\u5e03\u306b\u8fd1\u3065\u304d\u307e\u3059\u3002<br \/>\n\u4eca\u56de\u306e\u5b9f\u9a13\u3067\u306f<\/p>\n<ul>\n<li>beta_min=0.2<\/li>\n<li>beta_max=1.0<\/li>\n<li>num_reads=16<\/li>\n<li>num_sweeps=100<\/li>\n<\/ul>\n<p>\u3068\u8a2d\u5b9a\u3057\u307e\u3057\u305f\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\"highlight hl-python\">\n<pre><span><\/span><span class=\"k\">def<\/span><span class=\"w\"> <\/span><span class=\"nf\">train_step_sa<\/span><span class=\"p\">(<\/span><span class=\"bp\">self<\/span><span class=\"p\">,<\/span> <span class=\"n\">batch<\/span><span class=\"p\">,<\/span> <span class=\"n\">num_reads<\/span><span class=\"p\">,<\/span> <span class=\"n\">num_sweeps<\/span><span class=\"o\">=<\/span><span class=\"mi\">100<\/span><span class=\"p\">):<\/span>\r\n    <span class=\"n\">n_batch<\/span> <span class=\"o\">=<\/span> <span class=\"n\">batch<\/span><span class=\"o\">.<\/span><span class=\"n\">shape<\/span><span class=\"p\">[<\/span><span class=\"mi\">0<\/span><span class=\"p\">]<\/span>\r\n    <span class=\"n\">pos_v<\/span> <span class=\"o\">=<\/span> <span class=\"n\">batch<\/span>\r\n    <span class=\"n\">prob_h0<\/span><span class=\"p\">,<\/span> <span class=\"n\">_<\/span> <span class=\"o\">=<\/span> <span class=\"bp\">self<\/span><span class=\"o\">.<\/span><span class=\"n\">sample_h_given_v<\/span><span class=\"p\">(<\/span><span class=\"n\">pos_v<\/span><span class=\"p\">)<\/span>\r\n\r\n    <span class=\"n\">sampler<\/span> <span class=\"o\">=<\/span> <span class=\"n\">oj<\/span><span class=\"o\">.<\/span><span class=\"n\">SASampler<\/span><span class=\"p\">()<\/span>\r\n    <span class=\"n\">qubo<\/span> <span class=\"o\">=<\/span> <span class=\"p\">{}<\/span>\r\n    <span class=\"k\">for<\/span> <span class=\"n\">i<\/span> <span class=\"ow\">in<\/span> <span class=\"nb\">range<\/span><span class=\"p\">(<\/span><span class=\"bp\">self<\/span><span class=\"o\">.<\/span><span class=\"n\">n_visible<\/span><span class=\"p\">):<\/span> <span class=\"n\">qubo<\/span><span class=\"p\">[(<\/span><span class=\"n\">i<\/span><span class=\"p\">,<\/span> <span class=\"n\">i<\/span><span class=\"p\">)]<\/span> <span class=\"o\">=<\/span> <span class=\"o\">-<\/span><span class=\"bp\">self<\/span><span class=\"o\">.<\/span><span class=\"n\">b<\/span><span class=\"p\">[<\/span><span class=\"n\">i<\/span><span class=\"p\">]<\/span> <span class=\"c1\"># \u5bfe\u89d2\u6210\u5206\u306b\u53ef\u8996\u30d0\u30a4\u30a2\u30b9\u3092\u4ee3\u5165<\/span>\r\n    <span class=\"k\">for<\/span> <span class=\"n\">j<\/span> <span class=\"ow\">in<\/span> <span class=\"nb\">range<\/span><span class=\"p\">(<\/span><span class=\"bp\">self<\/span><span class=\"o\">.<\/span><span class=\"n\">n_hidden<\/span><span class=\"p\">):<\/span> <span class=\"n\">qubo<\/span><span class=\"p\">[(<\/span><span class=\"bp\">self<\/span><span class=\"o\">.<\/span><span class=\"n\">n_visible<\/span><span class=\"o\">+<\/span><span class=\"n\">j<\/span><span class=\"p\">,<\/span> <span class=\"bp\">self<\/span><span class=\"o\">.<\/span><span class=\"n\">n_visible<\/span><span class=\"o\">+<\/span><span class=\"n\">j<\/span><span class=\"p\">)]<\/span> <span class=\"o\">=<\/span> <span class=\"o\">-<\/span><span class=\"bp\">self<\/span><span class=\"o\">.<\/span><span class=\"n\">c<\/span><span class=\"p\">[<\/span><span class=\"n\">j<\/span><span class=\"p\">]<\/span> <span class=\"c1\"># \u5bfe\u89d2\u6210\u5206\u306b\u96a0\u308c\u30d0\u30a4\u30a2\u30b9\u3092\u4ee3\u5165<\/span>\r\n    <span class=\"k\">for<\/span> <span class=\"n\">i<\/span> <span class=\"ow\">in<\/span> <span class=\"nb\">range<\/span><span class=\"p\">(<\/span><span class=\"bp\">self<\/span><span class=\"o\">.<\/span><span class=\"n\">n_visible<\/span><span class=\"p\">):<\/span>\r\n        <span class=\"k\">for<\/span> <span class=\"n\">j<\/span> <span class=\"ow\">in<\/span> <span class=\"nb\">range<\/span><span class=\"p\">(<\/span><span class=\"bp\">self<\/span><span class=\"o\">.<\/span><span class=\"n\">n_hidden<\/span><span class=\"p\">):<\/span> <span class=\"n\">qubo<\/span><span class=\"p\">[(<\/span><span class=\"n\">i<\/span><span class=\"p\">,<\/span> <span class=\"bp\">self<\/span><span class=\"o\">.<\/span><span class=\"n\">n_visible<\/span><span class=\"o\">+<\/span><span class=\"n\">j<\/span><span class=\"p\">)]<\/span> <span class=\"o\">=<\/span> <span class=\"o\">-<\/span><span class=\"bp\">self<\/span><span class=\"o\">.<\/span><span class=\"n\">W<\/span><span class=\"p\">[<\/span><span class=\"n\">i<\/span><span class=\"p\">,<\/span> <span class=\"n\">j<\/span><span class=\"p\">]<\/span> <span class=\"c1\"># \u5bfe\u89d2\u6210\u5206\u3088\u308a\u4e0a\u5074\u306b\u91cd\u307f\u3092\u4ee3\u5165<\/span>\r\n\r\n    <span class=\"n\">response<\/span> <span class=\"o\">=<\/span> <span class=\"n\">sampler<\/span><span class=\"o\">.<\/span><span class=\"n\">sample_qubo<\/span><span class=\"p\">(<\/span><span class=\"n\">qubo<\/span><span class=\"p\">,<\/span> <span class=\"n\">num_reads<\/span><span class=\"o\">=<\/span><span class=\"n\">num_reads<\/span><span class=\"p\">,<\/span> <span class=\"n\">num_sweeps<\/span><span class=\"o\">=<\/span><span class=\"n\">num_sweeps<\/span><span class=\"p\">,<\/span> <span class=\"n\">beta_min<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.2<\/span><span class=\"p\">,<\/span> <span class=\"n\">beta_max<\/span><span class=\"o\">=<\/span><span class=\"mf\">1.0<\/span><span class=\"p\">)<\/span>\r\n    <span class=\"n\">neg_v<\/span> <span class=\"o\">=<\/span> <span class=\"n\">response<\/span><span class=\"o\">.<\/span><span class=\"n\">record<\/span><span class=\"o\">.<\/span><span class=\"n\">sample<\/span><span class=\"p\">[:,<\/span> <span class=\"p\">:<\/span><span class=\"bp\">self<\/span><span class=\"o\">.<\/span><span class=\"n\">n_visible<\/span><span class=\"p\">]<\/span><span class=\"o\">.<\/span><span class=\"n\">astype<\/span><span class=\"p\">(<\/span><span class=\"nb\">float<\/span><span class=\"p\">)<\/span>\r\n    <span class=\"n\">prob_h_model<\/span><span class=\"p\">,<\/span> <span class=\"n\">_<\/span> <span class=\"o\">=<\/span> <span class=\"bp\">self<\/span><span class=\"o\">.<\/span><span class=\"n\">sample_h_given_v<\/span><span class=\"p\">(<\/span><span class=\"n\">neg_v<\/span><span class=\"p\">)<\/span>\r\n\r\n    <span class=\"c1\"># \u30d1\u30e9\u30e1\u30fc\u30bf\u3092\u30b5\u30f3\u30d7\u30eb\u6570\u3067\u5272\u3063\u3066\u5e73\u5747\u5316\u3059\u308b<\/span>\r\n    <span class=\"bp\">self<\/span><span class=\"o\">.<\/span><span class=\"n\">W<\/span> <span class=\"o\">+=<\/span> <span class=\"bp\">self<\/span><span class=\"o\">.<\/span><span class=\"n\">lr<\/span> <span class=\"o\">*<\/span> <span class=\"p\">(<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">dot<\/span><span class=\"p\">(<\/span><span class=\"n\">pos_v<\/span><span class=\"o\">.<\/span><span class=\"n\">T<\/span><span class=\"p\">,<\/span> <span class=\"n\">prob_h0<\/span><span class=\"p\">)<\/span> <span class=\"o\">-<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">dot<\/span><span class=\"p\">(<\/span><span class=\"n\">neg_v<\/span><span class=\"o\">.<\/span><span class=\"n\">T<\/span><span class=\"p\">,<\/span> <span class=\"n\">prob_h_model<\/span><span class=\"p\">))<\/span> <span class=\"o\">\/<\/span> <span class=\"n\">num_reads<\/span> <span class=\"c1\"># \u91cd\u307f\u3092\u5e73\u5747\u5316<\/span>\r\n    <span class=\"bp\">self<\/span><span class=\"o\">.<\/span><span class=\"n\">b<\/span> <span class=\"o\">+=<\/span> <span class=\"bp\">self<\/span><span class=\"o\">.<\/span><span class=\"n\">lr<\/span> <span class=\"o\">*<\/span> <span class=\"p\">(<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">mean<\/span><span class=\"p\">(<\/span><span class=\"n\">pos_v<\/span><span class=\"p\">,<\/span> <span class=\"n\">axis<\/span><span class=\"o\">=<\/span><span class=\"mi\">0<\/span><span class=\"p\">)<\/span> <span class=\"o\">-<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">mean<\/span><span class=\"p\">(<\/span><span class=\"n\">neg_v<\/span><span class=\"p\">,<\/span> <span class=\"n\">axis<\/span><span class=\"o\">=<\/span><span class=\"mi\">0<\/span><span class=\"p\">))<\/span> <span class=\"c1\"># \u53ef\u8996\u30d0\u30a4\u30a2\u30b9\u3092\u5e73\u5747\u5316<\/span>\r\n    <span class=\"bp\">self<\/span><span class=\"o\">.<\/span><span class=\"n\">c<\/span> <span class=\"o\">+=<\/span> <span class=\"bp\">self<\/span><span class=\"o\">.<\/span><span class=\"n\">lr<\/span> <span class=\"o\">*<\/span> <span class=\"p\">(<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">mean<\/span><span class=\"p\">(<\/span><span class=\"n\">prob_h0<\/span><span class=\"p\">,<\/span> <span class=\"n\">axis<\/span><span class=\"o\">=<\/span><span class=\"mi\">0<\/span><span class=\"p\">)<\/span> <span class=\"o\">-<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">mean<\/span><span class=\"p\">(<\/span><span class=\"n\">prob_h_model<\/span><span class=\"p\">,<\/span> <span class=\"n\">axis<\/span><span class=\"o\">=<\/span><span class=\"mi\">0<\/span><span class=\"p\">))<\/span> <span class=\"c1\"># \u96a0\u308c\u30d0\u30a4\u30a2\u30b9\u3092\u5e73\u5747\u5316<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<h4><span class=\"ez-toc-section\" id=\"%E7%94%BB%E5%83%8F%E5%88%86%E9%A1%9E%E3%81%AE%E6%AD%A3%E8%A7%A3%E7%8E%87%E3%82%92%E3%82%82%E3%81%A8%E3%82%81%E3%82%8B%E9%96%A2%E6%95%B0\"><\/span>\u753b\u50cf\u5206\u985e\u306e\u6b63\u89e3\u7387\u3092\u3082\u3068\u3081\u308b\u95a2\u6570<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<p>\u5b9f\u9a131\u3067\u4f7f\u7528\u3059\u308b\u305f\u3081\u306b\u3001RBM\u306b\u3088\u308b\u753b\u50cf\u5206\u985e\u306e\u6b63\u89e3\u7387\u3092\u3082\u3068\u3081\u308b\u95a2\u6570\u3092\u5b9f\u88c5\u3057\u307e\u3059\u3002\u3053\u3053\u3067\u306f\u30c6\u30b9\u30c8\u30c7\u30fc\u30bf\u306e\u30e9\u30d9\u30eb\u3092\u30e9\u30f3\u30c0\u30e0\u306b\u521d\u671f\u5316\u3057\u3001RBM\u3067\u30e9\u30d9\u30eb\u3092\u5224\u5b9a\u3055\u305b\u307e\u3059\u3002\u305d\u306e\u969b\u3001\u5b66\u7fd2\u3057\u305fRBM\u3067\u518d\u5ea6\u30ae\u30d6\u30b9\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u309250\u56de\u884c\u3063\u305f\u5f8c\u306b\u3001\u30e9\u30d9\u30eb\u3092\u8aad\u307f\u53d6\u308a\u307e\u3059\u3002\u305d\u306e\u5f8c\u3001\u6b63\u89e3\u30e9\u30d9\u30eb\u3068\u6bd4\u8f03\u3057\u3066\u6b63\u89e3\u7387\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\"highlight hl-python\">\n<pre><span><\/span><span class=\"k\">def<\/span><span class=\"w\"> <\/span><span class=\"nf\">get_accuracy<\/span><span class=\"p\">(<\/span><span class=\"bp\">self<\/span><span class=\"p\">,<\/span> <span class=\"n\">test_subset<\/span><span class=\"p\">,<\/span> <span class=\"n\">gibbs_steps<\/span><span class=\"o\">=<\/span><span class=\"mi\">50<\/span><span class=\"p\">):<\/span>\r\n    <span class=\"k\">if<\/span> <span class=\"nb\">len<\/span><span class=\"p\">(<\/span><span class=\"n\">test_subset<\/span><span class=\"p\">)<\/span> <span class=\"o\">==<\/span> <span class=\"mi\">0<\/span><span class=\"p\">:<\/span> <span class=\"k\">return<\/span> <span class=\"mf\">0.0<\/span>\r\n    <span class=\"n\">correct<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">0<\/span>\r\n    <span class=\"k\">for<\/span> <span class=\"n\">rec<\/span> <span class=\"ow\">in<\/span> <span class=\"n\">test_subset<\/span><span class=\"p\">:<\/span>\r\n        <span class=\"n\">true_label<\/span> <span class=\"o\">=<\/span> <span class=\"n\">rec<\/span><span class=\"p\">[<\/span><span class=\"mi\">62<\/span><span class=\"p\">:]<\/span>\r\n        <span class=\"n\">v_curr<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">concatenate<\/span><span class=\"p\">([<\/span><span class=\"n\">rec<\/span><span class=\"p\">[:<\/span><span class=\"mi\">62<\/span><span class=\"p\">],<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">random<\/span><span class=\"o\">.<\/span><span class=\"n\">randint<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"mi\">2<\/span><span class=\"p\">,<\/span> <span class=\"n\">size<\/span><span class=\"o\">=<\/span><span class=\"mi\">2<\/span><span class=\"p\">)])<\/span>\r\n        <span class=\"k\">for<\/span> <span class=\"n\">_<\/span> <span class=\"ow\">in<\/span> <span class=\"nb\">range<\/span><span class=\"p\">(<\/span><span class=\"n\">gibbs_steps<\/span><span class=\"p\">):<\/span>\r\n            <span class=\"n\">_<\/span><span class=\"p\">,<\/span> <span class=\"n\">h_s<\/span> <span class=\"o\">=<\/span> <span class=\"bp\">self<\/span><span class=\"o\">.<\/span><span class=\"n\">sample_h_given_v<\/span><span class=\"p\">(<\/span><span class=\"n\">v_curr<\/span><span class=\"p\">)<\/span>\r\n            <span class=\"n\">_<\/span><span class=\"p\">,<\/span> <span class=\"n\">v_s<\/span> <span class=\"o\">=<\/span> <span class=\"bp\">self<\/span><span class=\"o\">.<\/span><span class=\"n\">sample_v_given_h<\/span><span class=\"p\">(<\/span><span class=\"n\">h_s<\/span><span class=\"p\">)<\/span>\r\n            <span class=\"n\">v_curr<\/span><span class=\"p\">[<\/span><span class=\"mi\">62<\/span><span class=\"p\">:]<\/span> <span class=\"o\">=<\/span> <span class=\"n\">v_s<\/span><span class=\"p\">[<\/span><span class=\"mi\">62<\/span><span class=\"p\">:]<\/span> <span class=\"c1\"># Label\u90e8\u5206\u306e\u307f\u66f4\u65b0<\/span>\r\n        <span class=\"k\">if<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">array_equal<\/span><span class=\"p\">(<\/span><span class=\"n\">v_curr<\/span><span class=\"p\">[<\/span><span class=\"mi\">62<\/span><span class=\"p\">:],<\/span> <span class=\"n\">true_label<\/span><span class=\"p\">):<\/span> <span class=\"n\">correct<\/span> <span class=\"o\">+=<\/span> <span class=\"mi\">1<\/span>\r\n    <span class=\"k\">return<\/span> <span class=\"n\">correct<\/span> <span class=\"o\">\/<\/span> <span class=\"nb\">len<\/span><span class=\"p\">(<\/span><span class=\"n\">test_subset<\/span><span class=\"p\">)<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<h4><span class=\"ez-toc-section\" id=\"%E7%94%BB%E5%83%8F%E5%86%8D%E6%A7%8B%E6%88%90%E3%81%99%E3%82%8B%E9%96%A2%E6%95%B0\"><\/span>\u753b\u50cf\u518d\u69cb\u6210\u3059\u308b\u95a2\u6570<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<p>\u5b9f\u9a132\u306e\u6e96\u5099\u3068\u3057\u3066\u3001\u6307\u5b9a\u3057\u305f\u7bc4\u56f2\u306e\u30d3\u30c3\u30c8\u3092\u30e9\u30f3\u30c0\u30e0\u306a0\u30681\u306e\u914d\u5217\u306b\u3057\u3066\u7834\u640d\u3055\u305b\u305f\u753b\u50cf\u3092\u518d\u69cb\u6210\u3059\u308b\u95a2\u6570\u3092\u5b9f\u88c5\u3057\u307e\u3059\u3002\u3053\u306e\u95a2\u6570\u3067\u306f\u3001\u7834\u640d\u3055\u305b\u305f\u753b\u50cf(\u305f\u3060\u3057\u3001\u30e9\u30d9\u30eb\u306e2\u30d3\u30c3\u30c8\u306f\u9664\u304f)\u3092RBM\u5b66\u7fd2\u5668\u306b\u30bb\u30c3\u30c8\u3057\u306650\u56de\u30ae\u30d6\u30b9\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u3092\u884c\u3063\u305f\u5024\u3092\u8fd4\u3057\u307e\u3059\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\"highlight hl-python\">\n<pre><span><\/span><span class=\"k\">def<\/span><span class=\"w\"> <\/span><span class=\"nf\">reconstruct_image<\/span><span class=\"p\">(<\/span><span class=\"bp\">self<\/span><span class=\"p\">,<\/span> <span class=\"n\">original_vector<\/span><span class=\"p\">,<\/span> <span class=\"n\">mask_indices<\/span><span class=\"p\">,<\/span> <span class=\"n\">gibbs_steps<\/span><span class=\"o\">=<\/span><span class=\"mi\">50<\/span><span class=\"p\">):<\/span>\r\n<span class=\"w\">    <\/span><span class=\"sd\">\"\"\"<\/span>\r\n<span class=\"sd\">    \u6307\u5b9a\u3057\u305f\u30a4\u30f3\u30c7\u30c3\u30af\u30b9\u3092\u7834\u640d\u3055\u305b\u3001RBM\u5b66\u7fd2\u5668\u3067\u5fa9\u5143\u3059\u308b<\/span>\r\n<span class=\"sd\">    original_vector: \u5143\u306e\u753b\u50cf\u306e\u30d3\u30c3\u30c8\u914d\u5217<\/span>\r\n<span class=\"sd\">    mask_indices: \u7834\u640d\u3055\u305b\u308b\u30d3\u30c3\u30c8\u3092\u793a\u3059\u30a4\u30f3\u30c7\u30c3\u30af\u30b9\u306e\u914d\u5217<\/span>\r\n<span class=\"sd\">    gibbs_steps: \u30ae\u30d6\u30b9\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u306e\u30b9\u30c6\u30c3\u30d7\u6570<\/span>\r\n<span class=\"sd\">    \"\"\"<\/span>\r\n    <span class=\"n\">corrupted_vector<\/span> <span class=\"o\">=<\/span> <span class=\"n\">original_vector<\/span><span class=\"o\">.<\/span><span class=\"n\">copy<\/span><span class=\"p\">()<\/span>\r\n    <span class=\"c1\"># \u7834\u640d\u90e8\u5206\u30920\u30681\u3067\u30e9\u30f3\u30c0\u30e0\u306b\u57cb\u3081\u308b<\/span>\r\n    <span class=\"n\">noise<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">random<\/span><span class=\"o\">.<\/span><span class=\"n\">randint<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"mi\">2<\/span><span class=\"p\">,<\/span> <span class=\"n\">size<\/span><span class=\"o\">=<\/span><span class=\"nb\">len<\/span><span class=\"p\">(<\/span><span class=\"n\">mask_indices<\/span><span class=\"p\">))<\/span>\r\n    <span class=\"n\">corrupted_vector<\/span><span class=\"p\">[<\/span><span class=\"n\">mask_indices<\/span><span class=\"p\">]<\/span> <span class=\"o\">=<\/span> <span class=\"n\">noise<\/span>\r\n\r\n    <span class=\"n\">v_curr<\/span> <span class=\"o\">=<\/span> <span class=\"n\">corrupted_vector<\/span><span class=\"o\">.<\/span><span class=\"n\">copy<\/span><span class=\"p\">()<\/span>\r\n    <span class=\"n\">all_indices<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">arange<\/span><span class=\"p\">(<\/span><span class=\"nb\">len<\/span><span class=\"p\">(<\/span><span class=\"n\">original_vector<\/span><span class=\"p\">))<\/span>\r\n\r\n    <span class=\"c1\"># np.setdiff1d(\u914d\u5217A, \u914d\u5217B): \u914d\u5217A\u304b\u3089\u914d\u5217B\u306b\u542b\u307e\u308c\u308b\u8981\u7d20\u3092\u9664\u3044\u305f\u3082\u306e<\/span>\r\n    <span class=\"n\">fixed_indices<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">setdiff1d<\/span><span class=\"p\">(<\/span><span class=\"n\">all_indices<\/span><span class=\"p\">,<\/span> <span class=\"n\">mask_indices<\/span><span class=\"p\">)<\/span>\r\n\r\n    <span class=\"k\">for<\/span> <span class=\"n\">_<\/span> <span class=\"ow\">in<\/span> <span class=\"nb\">range<\/span><span class=\"p\">(<\/span><span class=\"n\">gibbs_steps<\/span><span class=\"p\">):<\/span>\r\n        <span class=\"n\">_<\/span><span class=\"p\">,<\/span> <span class=\"n\">h_s<\/span> <span class=\"o\">=<\/span> <span class=\"bp\">self<\/span><span class=\"o\">.<\/span><span class=\"n\">sample_h_given_v<\/span><span class=\"p\">(<\/span><span class=\"n\">v_curr<\/span><span class=\"p\">)<\/span>\r\n        <span class=\"n\">_<\/span><span class=\"p\">,<\/span> <span class=\"n\">v_s<\/span> <span class=\"o\">=<\/span> <span class=\"bp\">self<\/span><span class=\"o\">.<\/span><span class=\"n\">sample_v_given_h<\/span><span class=\"p\">(<\/span><span class=\"n\">h_s<\/span><span class=\"p\">)<\/span>\r\n\r\n        <span class=\"c1\"># \u56fa\u5b9a\u3059\u308b\u30d3\u30c3\u30c8<\/span>\r\n        <span class=\"n\">v_curr<\/span><span class=\"p\">[<\/span><span class=\"n\">fixed_indices<\/span><span class=\"p\">]<\/span> <span class=\"o\">=<\/span> <span class=\"n\">original_vector<\/span><span class=\"p\">[<\/span><span class=\"n\">fixed_indices<\/span><span class=\"p\">]<\/span>\r\n        <span class=\"n\">v_curr<\/span><span class=\"p\">[<\/span><span class=\"n\">mask_indices<\/span><span class=\"p\">]<\/span> <span class=\"o\">=<\/span> <span class=\"n\">v_s<\/span><span class=\"p\">[<\/span><span class=\"n\">mask_indices<\/span><span class=\"p\">]<\/span>\r\n\r\n    <span class=\"k\">return<\/span> <span class=\"n\">corrupted_vector<\/span><span class=\"p\">,<\/span> <span class=\"n\">v_curr<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<h4><span class=\"ez-toc-section\" id=\"%E7%94%BB%E5%83%8F%E5%86%8D%E6%A7%8B%E6%88%90%E3%81%AE%E3%82%A8%E3%83%A9%E3%83%BC%E6%95%B0%E3%82%92%E3%82%82%E3%81%A8%E3%82%81%E3%82%8B%E9%96%A2%E6%95%B0\"><\/span>\u753b\u50cf\u518d\u69cb\u6210\u306e\u30a8\u30e9\u30fc\u6570\u3092\u3082\u3068\u3081\u308b\u95a2\u6570<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<p>\u307e\u305f\u3001\u518d\u69cb\u6210\u3057\u305f\u753b\u50cf\u3068\u5143\u753b\u50cf\u3092\u6bd4\u8f03\u3057\u305f\u6642\u3001\u3069\u306e\u304f\u3089\u3044\u306e\u7570\u306a\u308b\u30d3\u30c3\u30c8\u304c\u3042\u308b\u304b\u8a08\u7b97\u3059\u308b\u95a2\u6570\u3092\u5b9f\u88c5\u3057\u307e\u3059\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\"highlight hl-python\">\n<pre><span><\/span><span class=\"k\">def<\/span><span class=\"w\"> <\/span><span class=\"nf\">get_incorrect_bits<\/span><span class=\"p\">(<\/span><span class=\"bp\">self<\/span><span class=\"p\">,<\/span> <span class=\"n\">dataset<\/span><span class=\"p\">,<\/span> <span class=\"n\">mask_indices<\/span><span class=\"p\">,<\/span> <span class=\"n\">gibbs_steps<\/span><span class=\"o\">=<\/span><span class=\"mi\">50<\/span><span class=\"p\">):<\/span>\r\n<span class=\"w\">    <\/span><span class=\"sd\">\"\"\"<\/span>\r\n<span class=\"sd\">    \u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u306b\u5bfe\u3057\u3001\u7834\u640d\u3055\u308c\u305f\u9818\u57df\u306e\u518d\u69cb\u6210\u30a8\u30e9\u30fc\uff08\u8aa4\u30d3\u30c3\u30c8\u6570\uff09\u3092\u8a08\u7b97\u3059\u308b<\/span>\r\n<span class=\"sd\">    \"\"\"<\/span>\r\n    <span class=\"n\">error_list<\/span> <span class=\"o\">=<\/span> <span class=\"p\">[]<\/span>\r\n    <span class=\"k\">for<\/span> <span class=\"n\">original_vector<\/span> <span class=\"ow\">in<\/span> <span class=\"n\">dataset<\/span><span class=\"p\">:<\/span>\r\n        <span class=\"c1\"># \u518d\u69cb\u6210\u3092\u5b9f\u884c<\/span>\r\n        <span class=\"n\">_<\/span><span class=\"p\">,<\/span> <span class=\"n\">restored_vector<\/span> <span class=\"o\">=<\/span> <span class=\"bp\">self<\/span><span class=\"o\">.<\/span><span class=\"n\">reconstruct_image<\/span><span class=\"p\">(<\/span><span class=\"n\">original_vector<\/span><span class=\"p\">,<\/span> <span class=\"n\">mask_indices<\/span><span class=\"p\">,<\/span> <span class=\"n\">gibbs_steps<\/span><span class=\"p\">)<\/span>\r\n\r\n        <span class=\"c1\"># \u7834\u640d\u3055\u308c\u305f\u7bc4\u56f2\u306e\u30d3\u30c3\u30c8\u5217\u306b\u304a\u3044\u3066\u3001\u6b63\u89e3\u5024\u3068\u518d\u69cb\u6210\u5f8c\u306e\u5024\u3092\u6bd4\u8f03<\/span>\r\n        <span class=\"n\">actual<\/span> <span class=\"o\">=<\/span> <span class=\"n\">original_vector<\/span><span class=\"p\">[<\/span><span class=\"n\">mask_indices<\/span><span class=\"p\">]<\/span> <span class=\"c1\"># \u6b63\u89e3\u5024<\/span>\r\n        <span class=\"n\">predicted<\/span> <span class=\"o\">=<\/span> <span class=\"n\">restored_vector<\/span><span class=\"p\">[<\/span><span class=\"n\">mask_indices<\/span><span class=\"p\">]<\/span> <span class=\"c1\"># \u518d\u69cb\u6210\u5f8c\u306e\u5024<\/span>\r\n\r\n        <span class=\"c1\"># \u7570\u306a\u308b\u30d3\u30c3\u30c8\u306e\u6570\u3092\u30ab\u30a6\u30f3\u30c8<\/span>\r\n        <span class=\"n\">incorrect_count<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">sum<\/span><span class=\"p\">(<\/span><span class=\"n\">actual<\/span> <span class=\"o\">!=<\/span> <span class=\"n\">predicted<\/span><span class=\"p\">)<\/span>\r\n        <span class=\"n\">error_list<\/span><span class=\"o\">.<\/span><span class=\"n\">append<\/span><span class=\"p\">(<\/span><span class=\"n\">incorrect_count<\/span><span class=\"p\">)<\/span>\r\n\r\n    <span class=\"k\">return<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">array<\/span><span class=\"p\">(<\/span><span class=\"n\">error_list<\/span><span class=\"p\">)<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<h4><span class=\"ez-toc-section\" id=\"%E5%AF%BE%E6%95%B0%E5%B0%A4%E5%BA%A6%E3%82%92%E3%82%82%E3%81%A8%E3%82%81%E3%82%8B%E9%96%A2%E6%95%B0\"><\/span>\u5bfe\u6570\u5c24\u5ea6\u3092\u3082\u3068\u3081\u308b\u95a2\u6570<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<p>\u5b9f\u9a133\u306e\u6e96\u5099\u3068\u3057\u3066\u3001RBM\u306e\u5bfe\u6570\u5c24\u5ea6\u3092\u8a08\u7b97\u3059\u308b\u95a2\u6570\u3092\u5b9f\u88c5\u3057\u307e\u3059\u3002\u53ef\u8996\u5c64$v$\u3092\u5468\u8fba\u5316\u3057\u3066\u3001\u96a0\u308c\u5c64$h$\u306e\u3059\u3079\u3066\u306e\u548c\u3092\u3068\u308b\u3068\u3044\u3046\u624b\u6bb5\u3067\u8a08\u7b97\u3057\u307e\u3059\u3002<\/p>\n<p>\u5177\u4f53\u7684\u306a\u8a08\u7b97\u65b9\u6cd5\u3092\u8aac\u660e\u3057\u307e\u3059\u3002<\/p>\n<p>$$\\begin{align}\\log P(v) &amp;= \\log \\frac{\\sum_h e^{-E(v, h)}}{Z}\\\\ &amp;= \\log (\\sum_h e^{-E(v, h)}) &#8211; \\log Z \\tag{8} \\end{align}$$<\/p>\n<p>\u5f0f(8)\u3067\u306f\u5bfe\u6570\u5c24\u5ea6\u306f2\u3064\u306e\u9805\u306e\u5dee\u3067\u8868\u3055\u308c\u307e\u3059\u3002\u307e\u305a\u3001\u5f0f(9)\u3067\u53ef\u8996\u5c64\u3068\u96a0\u308c\u5c64\u306e\u548c\u306e\u90e8\u5206\u306b\u5206\u3051\u307e\u3059\u3002$s = b^T + h^TW$\u3068\u3057\u307e\u3057\u305f\u3002<\/p>\n<p>$$\\begin{align} Z &amp;= \\sum_{v} \\sum_{h} e^{b^Tv + c^Th + h^TWv}\\\\ &amp;= \\sum_h e^{c^Th} \\sum_v e^{(b^T + h^TW)v}\\\\ &amp;= \\sum_{h \\in \\lbrace 0, 1 \\rbrace ^m} e^{c^T h} \\sum_{v \\in \\lbrace 0, 1 \\rbrace ^n} e^{s \\cdot v} \\tag{9} \\end{align}$$<\/p>\n<p>\u6b21\u306b\u53ef\u8996\u5c64\u306b\u95a2\u3059\u308b\u548c\u306b\u3064\u3044\u3066\u3001RBM\u3067\u306f\u540c\u3058\u5c64\u5185\u3067\u7d50\u5408\u304c\u306a\u3044\u3053\u3068\u3092\u5229\u7528\u3057\u3066\u3001\u6307\u6570\u306e\u7a4d\u3067\u8868\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002(\u5f0f(10))<\/p>\n<p>$$\\begin{align} \\sum_{v \\in \\lbrace 0, 1 \\rbrace ^n} e^{s \\cdot v} &amp;= \\sum_{v_1 \\in \\lbrace 0, 1 \\rbrace} e^{s_1 v_1} \\cdots \\sum_{v_n \\in \\lbrace 0, 1 \\rbrace} e^{s_n v_n}\\\\ &amp;= \\prod_{i=1}^n \\sum_{v_i \\in \\lbrace 0, 1 \\rbrace} e^{s_i v_i}\\\\ &amp;= \\prod_{i=1}^n (1 + e^{s_i}) \\tag{10} \\end{align}$$<\/p>\n<p>\u5f0f(10)\u3092\u5f0f(9)\u306b\u4ee3\u5165\u3057\u3066\u3001\u53ef\u8996\u5c64$v$\u3092\u5468\u8fba\u5316\u3057\u307e\u3059\u3002\u3053\u308c\u306b\u3088\u308a\u3001\u96a0\u308c\u5c64$h$\u306e\u3059\u3079\u3066\u306e\u72b6\u614b\u306e\u548c\u304c\u3082\u3068\u307e\u308c\u3070\u3001\u5f0f(11)\u3067\u8a08\u7b97\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3057\u305f\u3002<\/p>\n<p>$$\\begin{align}\\log Z &amp;= \\log (\\sum_{h \\in \\lbrace 0, 1 \\rbrace ^m} e^{c^T h} \\prod_{i=1}^n (1 + e^{s_i}))\\\\ &amp;= \\log (\\sum_{h \\in \\lbrace 0, 1 \\rbrace ^m} e^{c^T h + \\sum_{i = 1}^n \\log (1 + e^{s_i})}) \\tag{11} \\end{align}$$<\/p>\n<p>\u540c\u69d8\u306b\u3001\u524d\u534a\u306e\u9805\u306b\u3064\u3044\u3066\u3082RBM\u306e\u6027\u8cea\u3092\u5229\u7528\u3057\u3066\u5f0f(12)\u306e\u3088\u3046\u306b\u8868\u305b\u307e\u3059\u3002<\/p>\n<p>$$ \\log (\\sum_h e^{-E(v,h)})<br \/>\n= b^T v + \\sum_{j=1}^{m} \\log \\left(1 + e^{c_j + \\sum_{i=1}^{n} W_{ij}v_i} \\right) \\tag{12} $$<\/p>\n<p>\u3053\u306e\u3088\u3046\u306b\u3001\u5bfe\u6570\u5c24\u5ea6\u306f\u5f0f(11)\u3068\u5f0f(12)\u304b\u3089\u8a08\u7b97\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\"highlight hl-python\">\n<pre><span><\/span><span class=\"k\">def<\/span><span class=\"w\"> <\/span><span class=\"nf\">get_log_likelihood<\/span><span class=\"p\">(<\/span><span class=\"bp\">self<\/span><span class=\"p\">,<\/span> <span class=\"n\">data<\/span><span class=\"p\">,<\/span> <span class=\"n\">all_hidden_states<\/span><span class=\"p\">):<\/span>\r\n    <span class=\"c1\"># \u5206\u914d\u95a2\u6570 Z \u306e\u8a08\u7b97<\/span>\r\n    <span class=\"n\">term_h<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">dot<\/span><span class=\"p\">(<\/span><span class=\"n\">all_hidden_states<\/span><span class=\"p\">,<\/span> <span class=\"bp\">self<\/span><span class=\"o\">.<\/span><span class=\"n\">c<\/span><span class=\"p\">)<\/span>\r\n    <span class=\"n\">vis_act<\/span> <span class=\"o\">=<\/span> <span class=\"bp\">self<\/span><span class=\"o\">.<\/span><span class=\"n\">b<\/span> <span class=\"o\">+<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">dot<\/span><span class=\"p\">(<\/span><span class=\"n\">all_hidden_states<\/span><span class=\"p\">,<\/span> <span class=\"bp\">self<\/span><span class=\"o\">.<\/span><span class=\"n\">W<\/span><span class=\"o\">.<\/span><span class=\"n\">T<\/span><span class=\"p\">)<\/span>\r\n    <span class=\"c1\"># logaddexp(x, y) = log(e^x + e^y)<\/span>\r\n    <span class=\"n\">log_Z<\/span> <span class=\"o\">=<\/span> <span class=\"n\">logsumexp<\/span><span class=\"p\">(<\/span><span class=\"n\">term_h<\/span> <span class=\"o\">+<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">sum<\/span><span class=\"p\">(<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">logaddexp<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">vis_act<\/span><span class=\"p\">),<\/span> <span class=\"n\">axis<\/span><span class=\"o\">=<\/span><span class=\"mi\">1<\/span><span class=\"p\">))<\/span>\r\n\r\n    <span class=\"c1\"># \u975e\u6b63\u898f\u5316\u5c24\u5ea6\u306e\u8a08\u7b97<\/span>\r\n    <span class=\"n\">data_term<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">dot<\/span><span class=\"p\">(<\/span><span class=\"n\">data<\/span><span class=\"p\">,<\/span> <span class=\"bp\">self<\/span><span class=\"o\">.<\/span><span class=\"n\">b<\/span><span class=\"p\">)<\/span>\r\n    <span class=\"n\">hid_act<\/span> <span class=\"o\">=<\/span> <span class=\"bp\">self<\/span><span class=\"o\">.<\/span><span class=\"n\">c<\/span> <span class=\"o\">+<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">dot<\/span><span class=\"p\">(<\/span><span class=\"n\">data<\/span><span class=\"p\">,<\/span> <span class=\"bp\">self<\/span><span class=\"o\">.<\/span><span class=\"n\">W<\/span><span class=\"p\">)<\/span>\r\n    <span class=\"n\">log_unnorm<\/span> <span class=\"o\">=<\/span> <span class=\"n\">data_term<\/span> <span class=\"o\">+<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">sum<\/span><span class=\"p\">(<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">logaddexp<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">hid_act<\/span><span class=\"p\">),<\/span> <span class=\"n\">axis<\/span><span class=\"o\">=<\/span><span class=\"mi\">1<\/span><span class=\"p\">)<\/span>\r\n\r\n    <span class=\"k\">return<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">mean<\/span><span class=\"p\">(<\/span><span class=\"n\">log_unnorm<\/span> <span class=\"o\">-<\/span> <span class=\"n\">log_Z<\/span><span class=\"p\">)<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<h3><span class=\"ez-toc-section\" id=\"%E3%82%AF%E3%83%A9%E3%82%B9%E3%81%AB%E3%82%88%E3%82%8B%E7%B5%B1%E5%90%88\"><\/span>\u30af\u30e9\u30b9\u306b\u3088\u308b\u7d71\u5408<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<p>\u3053\u308c\u307e\u3067\u306e\u95a2\u6570\u3092\u4e00\u3064\u306e\u30af\u30e9\u30b9\u306b\u307e\u3068\u3081\u3066\u3001\u6271\u3044\u3084\u3059\u304f\u3057\u307e\u3059\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\"highlight hl-python\">\n<pre><span><\/span><span class=\"k\">class<\/span><span class=\"w\"> <\/span><span class=\"nc\">IntegratedRBM<\/span><span class=\"p\">:<\/span>\r\n    <span class=\"k\">def<\/span><span class=\"w\"> <\/span><span class=\"fm\">__init__<\/span><span class=\"p\">(<\/span><span class=\"bp\">self<\/span><span class=\"p\">,<\/span> <span class=\"n\">n_visible<\/span><span class=\"p\">,<\/span> <span class=\"n\">n_hidden<\/span><span class=\"p\">,<\/span> <span class=\"n\">learning_rate<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.05<\/span><span class=\"p\">):<\/span>\r\n        <span class=\"bp\">self<\/span><span class=\"o\">.<\/span><span class=\"n\">n_visible<\/span> <span class=\"o\">=<\/span> <span class=\"n\">n_visible<\/span>\r\n        <span class=\"bp\">self<\/span><span class=\"o\">.<\/span><span class=\"n\">n_hidden<\/span> <span class=\"o\">=<\/span> <span class=\"n\">n_hidden<\/span>\r\n        <span class=\"bp\">self<\/span><span class=\"o\">.<\/span><span class=\"n\">lr<\/span> <span class=\"o\">=<\/span> <span class=\"n\">learning_rate<\/span>\r\n        <span class=\"bp\">self<\/span><span class=\"o\">.<\/span><span class=\"n\">W<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">random<\/span><span class=\"o\">.<\/span><span class=\"n\">normal<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"mf\">0.01<\/span><span class=\"p\">,<\/span> <span class=\"p\">(<\/span><span class=\"n\">n_visible<\/span><span class=\"p\">,<\/span> <span class=\"n\">n_hidden<\/span><span class=\"p\">))<\/span>\r\n        <span class=\"bp\">self<\/span><span class=\"o\">.<\/span><span class=\"n\">b<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">zeros<\/span><span class=\"p\">(<\/span><span class=\"n\">n_visible<\/span><span class=\"p\">)<\/span>\r\n        <span class=\"bp\">self<\/span><span class=\"o\">.<\/span><span class=\"n\">c<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">zeros<\/span><span class=\"p\">(<\/span><span class=\"n\">n_hidden<\/span><span class=\"p\">)<\/span>\r\n\r\n        <span class=\"c1\"># \u5c65\u6b74\u4fdd\u5b58\u7528\uff1abars\u6b63\u89e3\u7387\u3001stripes\u6b63\u89e3\u7387\u3001\u5bfe\u6570\u5c24\u5ea6<\/span>\r\n        <span class=\"bp\">self<\/span><span class=\"o\">.<\/span><span class=\"n\">history<\/span> <span class=\"o\">=<\/span> <span class=\"p\">{<\/span><span class=\"s1\">'bars_acc'<\/span><span class=\"p\">:<\/span> <span class=\"p\">[],<\/span> <span class=\"s1\">'stripes_acc'<\/span><span class=\"p\">:<\/span> <span class=\"p\">[],<\/span> <span class=\"s1\">'ll'<\/span><span class=\"p\">:<\/span> <span class=\"p\">[]}<\/span>\r\n\r\n    <span class=\"k\">def<\/span><span class=\"w\"> <\/span><span class=\"nf\">sigmoid<\/span><span class=\"p\">(<\/span><span class=\"bp\">self<\/span><span class=\"p\">,<\/span> <span class=\"n\">x<\/span><span class=\"p\">):<\/span>\r\n        <span class=\"k\">return<\/span> <span class=\"mf\">1.0<\/span> <span class=\"o\">\/<\/span> <span class=\"p\">(<\/span><span class=\"mf\">1.0<\/span> <span class=\"o\">+<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">exp<\/span><span class=\"p\">(<\/span><span class=\"o\">-<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">clip<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">,<\/span> <span class=\"o\">-<\/span><span class=\"mi\">500<\/span><span class=\"p\">,<\/span> <span class=\"mi\">500<\/span><span class=\"p\">)))<\/span>\r\n\r\n    <span class=\"k\">def<\/span><span class=\"w\"> <\/span><span class=\"nf\">sample_h_given_v<\/span><span class=\"p\">(<\/span><span class=\"bp\">self<\/span><span class=\"p\">,<\/span> <span class=\"n\">v<\/span><span class=\"p\">):<\/span>\r\n        <span class=\"n\">prob_h<\/span> <span class=\"o\">=<\/span> <span class=\"bp\">self<\/span><span class=\"o\">.<\/span><span class=\"n\">sigmoid<\/span><span class=\"p\">(<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">dot<\/span><span class=\"p\">(<\/span><span class=\"n\">v<\/span><span class=\"p\">,<\/span> <span class=\"bp\">self<\/span><span class=\"o\">.<\/span><span class=\"n\">W<\/span><span class=\"p\">)<\/span> <span class=\"o\">+<\/span> <span class=\"bp\">self<\/span><span class=\"o\">.<\/span><span class=\"n\">c<\/span><span class=\"p\">)<\/span>\r\n        <span class=\"n\">h_sample<\/span> <span class=\"o\">=<\/span> <span class=\"p\">(<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">random<\/span><span class=\"o\">.<\/span><span class=\"n\">rand<\/span><span class=\"p\">(<\/span><span class=\"o\">*<\/span><span class=\"n\">prob_h<\/span><span class=\"o\">.<\/span><span class=\"n\">shape<\/span><span class=\"p\">)<\/span> <span class=\"o\">&lt;<\/span> <span class=\"n\">prob_h<\/span><span class=\"p\">)<\/span><span class=\"o\">.<\/span><span class=\"n\">astype<\/span><span class=\"p\">(<\/span><span class=\"nb\">float<\/span><span class=\"p\">)<\/span>\r\n        <span class=\"k\">return<\/span> <span class=\"n\">prob_h<\/span><span class=\"p\">,<\/span> <span class=\"n\">h_sample<\/span>\r\n\r\n    <span class=\"k\">def<\/span><span class=\"w\"> <\/span><span class=\"nf\">sample_v_given_h<\/span><span class=\"p\">(<\/span><span class=\"bp\">self<\/span><span class=\"p\">,<\/span> <span class=\"n\">h<\/span><span class=\"p\">):<\/span>\r\n        <span class=\"n\">prob_v<\/span> <span class=\"o\">=<\/span> <span class=\"bp\">self<\/span><span class=\"o\">.<\/span><span class=\"n\">sigmoid<\/span><span class=\"p\">(<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">dot<\/span><span class=\"p\">(<\/span><span class=\"n\">h<\/span><span class=\"p\">,<\/span> <span class=\"bp\">self<\/span><span class=\"o\">.<\/span><span class=\"n\">W<\/span><span class=\"o\">.<\/span><span class=\"n\">T<\/span><span class=\"p\">)<\/span> <span class=\"o\">+<\/span> <span class=\"bp\">self<\/span><span class=\"o\">.<\/span><span class=\"n\">b<\/span><span class=\"p\">)<\/span>\r\n        <span class=\"n\">v_sample<\/span> <span class=\"o\">=<\/span> <span class=\"p\">(<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">random<\/span><span class=\"o\">.<\/span><span class=\"n\">rand<\/span><span class=\"p\">(<\/span><span class=\"o\">*<\/span><span class=\"n\">prob_v<\/span><span class=\"o\">.<\/span><span class=\"n\">shape<\/span><span class=\"p\">)<\/span> <span class=\"o\">&lt;<\/span> <span class=\"n\">prob_v<\/span><span class=\"p\">)<\/span><span class=\"o\">.<\/span><span class=\"n\">astype<\/span><span class=\"p\">(<\/span><span class=\"nb\">float<\/span><span class=\"p\">)<\/span>\r\n        <span class=\"k\">return<\/span> <span class=\"n\">prob_v<\/span><span class=\"p\">,<\/span> <span class=\"n\">v_sample<\/span>\r\n\r\n    <span class=\"c1\"># CD-1\u306e\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u306b\u3088\u308b\u5b66\u7fd2<\/span>\r\n    <span class=\"k\">def<\/span><span class=\"w\"> <\/span><span class=\"nf\">train_step_cd<\/span><span class=\"p\">(<\/span><span class=\"bp\">self<\/span><span class=\"p\">,<\/span> <span class=\"n\">batch<\/span><span class=\"p\">):<\/span>\r\n        <span class=\"n\">n_batch<\/span> <span class=\"o\">=<\/span> <span class=\"n\">batch<\/span><span class=\"o\">.<\/span><span class=\"n\">shape<\/span><span class=\"p\">[<\/span><span class=\"mi\">0<\/span><span class=\"p\">]<\/span>\r\n        <span class=\"n\">pos_v<\/span> <span class=\"o\">=<\/span> <span class=\"n\">batch<\/span>\r\n        <span class=\"n\">prob_h0<\/span><span class=\"p\">,<\/span> <span class=\"n\">pos_h<\/span> <span class=\"o\">=<\/span> <span class=\"bp\">self<\/span><span class=\"o\">.<\/span><span class=\"n\">sample_h_given_v<\/span><span class=\"p\">(<\/span><span class=\"n\">pos_v<\/span><span class=\"p\">)<\/span>\r\n        <span class=\"n\">_<\/span><span class=\"p\">,<\/span> <span class=\"n\">neg_v<\/span> <span class=\"o\">=<\/span> <span class=\"bp\">self<\/span><span class=\"o\">.<\/span><span class=\"n\">sample_v_given_h<\/span><span class=\"p\">(<\/span><span class=\"n\">pos_h<\/span><span class=\"p\">)<\/span>\r\n        <span class=\"n\">prob_h1<\/span><span class=\"p\">,<\/span> <span class=\"n\">_<\/span> <span class=\"o\">=<\/span> <span class=\"bp\">self<\/span><span class=\"o\">.<\/span><span class=\"n\">sample_h_given_v<\/span><span class=\"p\">(<\/span><span class=\"n\">neg_v<\/span><span class=\"p\">)<\/span>\r\n\r\n        <span class=\"bp\">self<\/span><span class=\"o\">.<\/span><span class=\"n\">W<\/span> <span class=\"o\">+=<\/span> <span class=\"bp\">self<\/span><span class=\"o\">.<\/span><span class=\"n\">lr<\/span> <span class=\"o\">*<\/span> <span class=\"p\">(<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">dot<\/span><span class=\"p\">(<\/span><span class=\"n\">pos_v<\/span><span class=\"o\">.<\/span><span class=\"n\">T<\/span><span class=\"p\">,<\/span> <span class=\"n\">prob_h0<\/span><span class=\"p\">)<\/span> <span class=\"o\">-<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">dot<\/span><span class=\"p\">(<\/span><span class=\"n\">neg_v<\/span><span class=\"o\">.<\/span><span class=\"n\">T<\/span><span class=\"p\">,<\/span> <span class=\"n\">prob_h1<\/span><span class=\"p\">))<\/span> <span class=\"o\">\/<\/span> <span class=\"n\">n_batch<\/span>\r\n        <span class=\"bp\">self<\/span><span class=\"o\">.<\/span><span class=\"n\">b<\/span> <span class=\"o\">+=<\/span> <span class=\"bp\">self<\/span><span class=\"o\">.<\/span><span class=\"n\">lr<\/span> <span class=\"o\">*<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">mean<\/span><span class=\"p\">(<\/span><span class=\"n\">pos_v<\/span> <span class=\"o\">-<\/span> <span class=\"n\">neg_v<\/span><span class=\"p\">,<\/span> <span class=\"n\">axis<\/span><span class=\"o\">=<\/span><span class=\"mi\">0<\/span><span class=\"p\">)<\/span>\r\n        <span class=\"bp\">self<\/span><span class=\"o\">.<\/span><span class=\"n\">c<\/span> <span class=\"o\">+=<\/span> <span class=\"bp\">self<\/span><span class=\"o\">.<\/span><span class=\"n\">lr<\/span> <span class=\"o\">*<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">mean<\/span><span class=\"p\">(<\/span><span class=\"n\">prob_h0<\/span> <span class=\"o\">-<\/span> <span class=\"n\">prob_h1<\/span><span class=\"p\">,<\/span> <span class=\"n\">axis<\/span><span class=\"o\">=<\/span><span class=\"mi\">0<\/span><span class=\"p\">)<\/span>\r\n\r\n    <span class=\"c1\"># SA\u306e\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u306b\u3088\u308b\u5b66\u7fd2<\/span>\r\n    <span class=\"k\">def<\/span><span class=\"w\"> <\/span><span class=\"nf\">train_step_sa<\/span><span class=\"p\">(<\/span><span class=\"bp\">self<\/span><span class=\"p\">,<\/span> <span class=\"n\">batch<\/span><span class=\"p\">,<\/span> <span class=\"n\">num_reads<\/span><span class=\"p\">,<\/span> <span class=\"n\">num_sweeps<\/span><span class=\"o\">=<\/span><span class=\"mi\">100<\/span><span class=\"p\">):<\/span>\r\n        <span class=\"n\">n_batch<\/span> <span class=\"o\">=<\/span> <span class=\"n\">batch<\/span><span class=\"o\">.<\/span><span class=\"n\">shape<\/span><span class=\"p\">[<\/span><span class=\"mi\">0<\/span><span class=\"p\">]<\/span>\r\n        <span class=\"n\">pos_v<\/span> <span class=\"o\">=<\/span> <span class=\"n\">batch<\/span>\r\n        <span class=\"n\">prob_h0<\/span><span class=\"p\">,<\/span> <span class=\"n\">_<\/span> <span class=\"o\">=<\/span> <span class=\"bp\">self<\/span><span class=\"o\">.<\/span><span class=\"n\">sample_h_given_v<\/span><span class=\"p\">(<\/span><span class=\"n\">pos_v<\/span><span class=\"p\">)<\/span>\r\n\r\n        <span class=\"n\">sampler<\/span> <span class=\"o\">=<\/span> <span class=\"n\">oj<\/span><span class=\"o\">.<\/span><span class=\"n\">SASampler<\/span><span class=\"p\">()<\/span>\r\n        <span class=\"n\">qubo<\/span> <span class=\"o\">=<\/span> <span class=\"p\">{}<\/span>\r\n        <span class=\"k\">for<\/span> <span class=\"n\">i<\/span> <span class=\"ow\">in<\/span> <span class=\"nb\">range<\/span><span class=\"p\">(<\/span><span class=\"bp\">self<\/span><span class=\"o\">.<\/span><span class=\"n\">n_visible<\/span><span class=\"p\">):<\/span> <span class=\"n\">qubo<\/span><span class=\"p\">[(<\/span><span class=\"n\">i<\/span><span class=\"p\">,<\/span> <span class=\"n\">i<\/span><span class=\"p\">)]<\/span> <span class=\"o\">=<\/span> <span class=\"o\">-<\/span><span class=\"bp\">self<\/span><span class=\"o\">.<\/span><span class=\"n\">b<\/span><span class=\"p\">[<\/span><span class=\"n\">i<\/span><span class=\"p\">]<\/span>\r\n        <span class=\"k\">for<\/span> <span class=\"n\">j<\/span> <span class=\"ow\">in<\/span> <span class=\"nb\">range<\/span><span class=\"p\">(<\/span><span class=\"bp\">self<\/span><span class=\"o\">.<\/span><span class=\"n\">n_hidden<\/span><span class=\"p\">):<\/span> <span class=\"n\">qubo<\/span><span class=\"p\">[(<\/span><span class=\"bp\">self<\/span><span class=\"o\">.<\/span><span class=\"n\">n_visible<\/span><span class=\"o\">+<\/span><span class=\"n\">j<\/span><span class=\"p\">,<\/span> <span class=\"bp\">self<\/span><span class=\"o\">.<\/span><span class=\"n\">n_visible<\/span><span class=\"o\">+<\/span><span class=\"n\">j<\/span><span class=\"p\">)]<\/span> <span class=\"o\">=<\/span> <span class=\"o\">-<\/span><span class=\"bp\">self<\/span><span class=\"o\">.<\/span><span class=\"n\">c<\/span><span class=\"p\">[<\/span><span class=\"n\">j<\/span><span class=\"p\">]<\/span>\r\n        <span class=\"k\">for<\/span> <span class=\"n\">i<\/span> <span class=\"ow\">in<\/span> <span class=\"nb\">range<\/span><span class=\"p\">(<\/span><span class=\"bp\">self<\/span><span class=\"o\">.<\/span><span class=\"n\">n_visible<\/span><span class=\"p\">):<\/span>\r\n            <span class=\"k\">for<\/span> <span class=\"n\">j<\/span> <span class=\"ow\">in<\/span> <span class=\"nb\">range<\/span><span class=\"p\">(<\/span><span class=\"bp\">self<\/span><span class=\"o\">.<\/span><span class=\"n\">n_hidden<\/span><span class=\"p\">):<\/span> <span class=\"n\">qubo<\/span><span class=\"p\">[(<\/span><span class=\"n\">i<\/span><span class=\"p\">,<\/span> <span class=\"bp\">self<\/span><span class=\"o\">.<\/span><span class=\"n\">n_visible<\/span><span class=\"o\">+<\/span><span class=\"n\">j<\/span><span class=\"p\">)]<\/span> <span class=\"o\">=<\/span> <span class=\"o\">-<\/span><span class=\"bp\">self<\/span><span class=\"o\">.<\/span><span class=\"n\">W<\/span><span class=\"p\">[<\/span><span class=\"n\">i<\/span><span class=\"p\">,<\/span> <span class=\"n\">j<\/span><span class=\"p\">]<\/span>\r\n\r\n        <span class=\"n\">response<\/span> <span class=\"o\">=<\/span> <span class=\"n\">sampler<\/span><span class=\"o\">.<\/span><span class=\"n\">sample_qubo<\/span><span class=\"p\">(<\/span><span class=\"n\">qubo<\/span><span class=\"p\">,<\/span> <span class=\"n\">num_reads<\/span><span class=\"o\">=<\/span><span class=\"n\">num_reads<\/span><span class=\"p\">,<\/span> <span class=\"n\">num_sweeps<\/span><span class=\"o\">=<\/span><span class=\"n\">num_sweeps<\/span><span class=\"p\">,<\/span> <span class=\"n\">beta_min<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.2<\/span><span class=\"p\">,<\/span> <span class=\"n\">beta_max<\/span><span class=\"o\">=<\/span><span class=\"mf\">1.0<\/span><span class=\"p\">)<\/span>\r\n        <span class=\"n\">neg_v<\/span> <span class=\"o\">=<\/span> <span class=\"n\">response<\/span><span class=\"o\">.<\/span><span class=\"n\">record<\/span><span class=\"o\">.<\/span><span class=\"n\">sample<\/span><span class=\"p\">[:,<\/span> <span class=\"p\">:<\/span><span class=\"bp\">self<\/span><span class=\"o\">.<\/span><span class=\"n\">n_visible<\/span><span class=\"p\">]<\/span><span class=\"o\">.<\/span><span class=\"n\">astype<\/span><span class=\"p\">(<\/span><span class=\"nb\">float<\/span><span class=\"p\">)<\/span>\r\n        <span class=\"n\">prob_h_model<\/span><span class=\"p\">,<\/span> <span class=\"n\">_<\/span> <span class=\"o\">=<\/span> <span class=\"bp\">self<\/span><span class=\"o\">.<\/span><span class=\"n\">sample_h_given_v<\/span><span class=\"p\">(<\/span><span class=\"n\">neg_v<\/span><span class=\"p\">)<\/span>\r\n\r\n        <span class=\"bp\">self<\/span><span class=\"o\">.<\/span><span class=\"n\">W<\/span> <span class=\"o\">+=<\/span> <span class=\"bp\">self<\/span><span class=\"o\">.<\/span><span class=\"n\">lr<\/span> <span class=\"o\">*<\/span> <span class=\"p\">(<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">dot<\/span><span class=\"p\">(<\/span><span class=\"n\">pos_v<\/span><span class=\"o\">.<\/span><span class=\"n\">T<\/span><span class=\"p\">,<\/span> <span class=\"n\">prob_h0<\/span><span class=\"p\">)<\/span> <span class=\"o\">-<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">dot<\/span><span class=\"p\">(<\/span><span class=\"n\">neg_v<\/span><span class=\"o\">.<\/span><span class=\"n\">T<\/span><span class=\"p\">,<\/span> <span class=\"n\">prob_h_model<\/span><span class=\"p\">))<\/span> <span class=\"o\">\/<\/span> <span class=\"n\">num_reads<\/span>\r\n        <span class=\"bp\">self<\/span><span class=\"o\">.<\/span><span class=\"n\">b<\/span> <span class=\"o\">+=<\/span> <span class=\"bp\">self<\/span><span class=\"o\">.<\/span><span class=\"n\">lr<\/span> <span class=\"o\">*<\/span> <span class=\"p\">(<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">mean<\/span><span class=\"p\">(<\/span><span class=\"n\">pos_v<\/span><span class=\"p\">,<\/span> <span class=\"n\">axis<\/span><span class=\"o\">=<\/span><span class=\"mi\">0<\/span><span class=\"p\">)<\/span> <span class=\"o\">-<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">mean<\/span><span class=\"p\">(<\/span><span class=\"n\">neg_v<\/span><span class=\"p\">,<\/span> <span class=\"n\">axis<\/span><span class=\"o\">=<\/span><span class=\"mi\">0<\/span><span class=\"p\">))<\/span>\r\n        <span class=\"bp\">self<\/span><span class=\"o\">.<\/span><span class=\"n\">c<\/span> <span class=\"o\">+=<\/span> <span class=\"bp\">self<\/span><span class=\"o\">.<\/span><span class=\"n\">lr<\/span> <span class=\"o\">*<\/span> <span class=\"p\">(<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">mean<\/span><span class=\"p\">(<\/span><span class=\"n\">prob_h0<\/span><span class=\"p\">,<\/span> <span class=\"n\">axis<\/span><span class=\"o\">=<\/span><span class=\"mi\">0<\/span><span class=\"p\">)<\/span> <span class=\"o\">-<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">mean<\/span><span class=\"p\">(<\/span><span class=\"n\">prob_h_model<\/span><span class=\"p\">,<\/span> <span class=\"n\">axis<\/span><span class=\"o\">=<\/span><span class=\"mi\">0<\/span><span class=\"p\">))<\/span>\r\n\r\n    <span class=\"c1\"># \u753b\u50cf\u5206\u985e\u306e\u6b63\u89e3\u7387<\/span>\r\n    <span class=\"k\">def<\/span><span class=\"w\"> <\/span><span class=\"nf\">get_accuracy<\/span><span class=\"p\">(<\/span><span class=\"bp\">self<\/span><span class=\"p\">,<\/span> <span class=\"n\">test_subset<\/span><span class=\"p\">,<\/span> <span class=\"n\">gibbs_steps<\/span><span class=\"o\">=<\/span><span class=\"mi\">50<\/span><span class=\"p\">):<\/span>\r\n        <span class=\"k\">if<\/span> <span class=\"nb\">len<\/span><span class=\"p\">(<\/span><span class=\"n\">test_subset<\/span><span class=\"p\">)<\/span> <span class=\"o\">==<\/span> <span class=\"mi\">0<\/span><span class=\"p\">:<\/span> <span class=\"k\">return<\/span> <span class=\"mf\">0.0<\/span>\r\n        <span class=\"n\">correct<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">0<\/span>\r\n        <span class=\"k\">for<\/span> <span class=\"n\">rec<\/span> <span class=\"ow\">in<\/span> <span class=\"n\">test_subset<\/span><span class=\"p\">:<\/span>\r\n            <span class=\"n\">true_label<\/span> <span class=\"o\">=<\/span> <span class=\"n\">rec<\/span><span class=\"p\">[<\/span><span class=\"mi\">62<\/span><span class=\"p\">:]<\/span>\r\n            <span class=\"n\">v_curr<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">concatenate<\/span><span class=\"p\">([<\/span><span class=\"n\">rec<\/span><span class=\"p\">[:<\/span><span class=\"mi\">62<\/span><span class=\"p\">],<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">random<\/span><span class=\"o\">.<\/span><span class=\"n\">randint<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"mi\">2<\/span><span class=\"p\">,<\/span> <span class=\"n\">size<\/span><span class=\"o\">=<\/span><span class=\"mi\">2<\/span><span class=\"p\">)])<\/span>\r\n            <span class=\"k\">for<\/span> <span class=\"n\">_<\/span> <span class=\"ow\">in<\/span> <span class=\"nb\">range<\/span><span class=\"p\">(<\/span><span class=\"n\">gibbs_steps<\/span><span class=\"p\">):<\/span>\r\n                <span class=\"n\">_<\/span><span class=\"p\">,<\/span> <span class=\"n\">h_s<\/span> <span class=\"o\">=<\/span> <span class=\"bp\">self<\/span><span class=\"o\">.<\/span><span class=\"n\">sample_h_given_v<\/span><span class=\"p\">(<\/span><span class=\"n\">v_curr<\/span><span class=\"p\">)<\/span>\r\n                <span class=\"n\">_<\/span><span class=\"p\">,<\/span> <span class=\"n\">v_s<\/span> <span class=\"o\">=<\/span> <span class=\"bp\">self<\/span><span class=\"o\">.<\/span><span class=\"n\">sample_v_given_h<\/span><span class=\"p\">(<\/span><span class=\"n\">h_s<\/span><span class=\"p\">)<\/span>\r\n                <span class=\"n\">v_curr<\/span><span class=\"p\">[<\/span><span class=\"mi\">62<\/span><span class=\"p\">:]<\/span> <span class=\"o\">=<\/span> <span class=\"n\">v_s<\/span><span class=\"p\">[<\/span><span class=\"mi\">62<\/span><span class=\"p\">:]<\/span>\r\n            <span class=\"k\">if<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">array_equal<\/span><span class=\"p\">(<\/span><span class=\"n\">v_curr<\/span><span class=\"p\">[<\/span><span class=\"mi\">62<\/span><span class=\"p\">:],<\/span> <span class=\"n\">true_label<\/span><span class=\"p\">):<\/span> <span class=\"n\">correct<\/span> <span class=\"o\">+=<\/span> <span class=\"mi\">1<\/span>\r\n        <span class=\"k\">return<\/span> <span class=\"n\">correct<\/span> <span class=\"o\">\/<\/span> <span class=\"nb\">len<\/span><span class=\"p\">(<\/span><span class=\"n\">test_subset<\/span><span class=\"p\">)<\/span>\r\n\r\n    <span class=\"c1\"># \u753b\u50cf\u518d\u69cb\u6210<\/span>\r\n    <span class=\"k\">def<\/span><span class=\"w\"> <\/span><span class=\"nf\">reconstruct_image<\/span><span class=\"p\">(<\/span><span class=\"bp\">self<\/span><span class=\"p\">,<\/span> <span class=\"n\">original_vector<\/span><span class=\"p\">,<\/span> <span class=\"n\">mask_indices<\/span><span class=\"p\">,<\/span> <span class=\"n\">gibbs_steps<\/span><span class=\"o\">=<\/span><span class=\"mi\">50<\/span><span class=\"p\">):<\/span>\r\n\r\n        <span class=\"n\">corrupted_vector<\/span> <span class=\"o\">=<\/span> <span class=\"n\">original_vector<\/span><span class=\"o\">.<\/span><span class=\"n\">copy<\/span><span class=\"p\">()<\/span>\r\n\r\n        <span class=\"n\">noise<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">random<\/span><span class=\"o\">.<\/span><span class=\"n\">randint<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"mi\">2<\/span><span class=\"p\">,<\/span> <span class=\"n\">size<\/span><span class=\"o\">=<\/span><span class=\"nb\">len<\/span><span class=\"p\">(<\/span><span class=\"n\">mask_indices<\/span><span class=\"p\">))<\/span>\r\n        <span class=\"n\">corrupted_vector<\/span><span class=\"p\">[<\/span><span class=\"n\">mask_indices<\/span><span class=\"p\">]<\/span> <span class=\"o\">=<\/span> <span class=\"n\">noise<\/span>\r\n\r\n        <span class=\"n\">v_curr<\/span> <span class=\"o\">=<\/span> <span class=\"n\">corrupted_vector<\/span><span class=\"o\">.<\/span><span class=\"n\">copy<\/span><span class=\"p\">()<\/span>\r\n        <span class=\"n\">all_indices<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">arange<\/span><span class=\"p\">(<\/span><span class=\"nb\">len<\/span><span class=\"p\">(<\/span><span class=\"n\">original_vector<\/span><span class=\"p\">))<\/span>\r\n        <span class=\"n\">fixed_indices<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">setdiff1d<\/span><span class=\"p\">(<\/span><span class=\"n\">all_indices<\/span><span class=\"p\">,<\/span> <span class=\"n\">mask_indices<\/span><span class=\"p\">)<\/span>\r\n\r\n        <span class=\"k\">for<\/span> <span class=\"n\">_<\/span> <span class=\"ow\">in<\/span> <span class=\"nb\">range<\/span><span class=\"p\">(<\/span><span class=\"n\">gibbs_steps<\/span><span class=\"p\">):<\/span>\r\n            <span class=\"n\">_<\/span><span class=\"p\">,<\/span> <span class=\"n\">h_s<\/span> <span class=\"o\">=<\/span> <span class=\"bp\">self<\/span><span class=\"o\">.<\/span><span class=\"n\">sample_h_given_v<\/span><span class=\"p\">(<\/span><span class=\"n\">v_curr<\/span><span class=\"p\">)<\/span>\r\n            <span class=\"n\">_<\/span><span class=\"p\">,<\/span> <span class=\"n\">v_s<\/span> <span class=\"o\">=<\/span> <span class=\"bp\">self<\/span><span class=\"o\">.<\/span><span class=\"n\">sample_v_given_h<\/span><span class=\"p\">(<\/span><span class=\"n\">h_s<\/span><span class=\"p\">)<\/span>\r\n\r\n            <span class=\"n\">v_curr<\/span><span class=\"p\">[<\/span><span class=\"n\">fixed_indices<\/span><span class=\"p\">]<\/span> <span class=\"o\">=<\/span> <span class=\"n\">original_vector<\/span><span class=\"p\">[<\/span><span class=\"n\">fixed_indices<\/span><span class=\"p\">]<\/span>\r\n            <span class=\"n\">v_curr<\/span><span class=\"p\">[<\/span><span class=\"n\">mask_indices<\/span><span class=\"p\">]<\/span> <span class=\"o\">=<\/span> <span class=\"n\">v_s<\/span><span class=\"p\">[<\/span><span class=\"n\">mask_indices<\/span><span class=\"p\">]<\/span>\r\n\r\n        <span class=\"k\">return<\/span> <span class=\"n\">corrupted_vector<\/span><span class=\"p\">,<\/span> <span class=\"n\">v_curr<\/span>\r\n\r\n    <span class=\"c1\"># \u753b\u50cf\u518d\u69cb\u6210\u306e\u30a8\u30e9\u30fc\u6570<\/span>\r\n    <span class=\"k\">def<\/span><span class=\"w\"> <\/span><span class=\"nf\">get_incorrect_bits<\/span><span class=\"p\">(<\/span><span class=\"bp\">self<\/span><span class=\"p\">,<\/span> <span class=\"n\">dataset<\/span><span class=\"p\">,<\/span> <span class=\"n\">mask_indices<\/span><span class=\"p\">,<\/span> <span class=\"n\">gibbs_steps<\/span><span class=\"o\">=<\/span><span class=\"mi\">50<\/span><span class=\"p\">):<\/span>\r\n\r\n        <span class=\"n\">error_list<\/span> <span class=\"o\">=<\/span> <span class=\"p\">[]<\/span>\r\n        <span class=\"k\">for<\/span> <span class=\"n\">original_vector<\/span> <span class=\"ow\">in<\/span> <span class=\"n\">dataset<\/span><span class=\"p\">:<\/span>\r\n            <span class=\"n\">_<\/span><span class=\"p\">,<\/span> <span class=\"n\">restored_vector<\/span> <span class=\"o\">=<\/span> <span class=\"bp\">self<\/span><span class=\"o\">.<\/span><span class=\"n\">reconstruct_image<\/span><span class=\"p\">(<\/span><span class=\"n\">original_vector<\/span><span class=\"p\">,<\/span> <span class=\"n\">mask_indices<\/span><span class=\"p\">,<\/span> <span class=\"n\">gibbs_steps<\/span><span class=\"p\">)<\/span>\r\n\r\n            <span class=\"n\">actual<\/span> <span class=\"o\">=<\/span> <span class=\"n\">original_vector<\/span><span class=\"p\">[<\/span><span class=\"n\">mask_indices<\/span><span class=\"p\">]<\/span>\r\n            <span class=\"n\">predicted<\/span> <span class=\"o\">=<\/span> <span class=\"n\">restored_vector<\/span><span class=\"p\">[<\/span><span class=\"n\">mask_indices<\/span><span class=\"p\">]<\/span>\r\n\r\n            <span class=\"n\">incorrect_count<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">sum<\/span><span class=\"p\">(<\/span><span class=\"n\">actual<\/span> <span class=\"o\">!=<\/span> <span class=\"n\">predicted<\/span><span class=\"p\">)<\/span>\r\n            <span class=\"n\">error_list<\/span><span class=\"o\">.<\/span><span class=\"n\">append<\/span><span class=\"p\">(<\/span><span class=\"n\">incorrect_count<\/span><span class=\"p\">)<\/span>\r\n\r\n        <span class=\"k\">return<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">array<\/span><span class=\"p\">(<\/span><span class=\"n\">error_list<\/span><span class=\"p\">)<\/span>\r\n\r\n    <span class=\"c1\"># \u5bfe\u6570\u5c24\u5ea6<\/span>\r\n    <span class=\"k\">def<\/span><span class=\"w\"> <\/span><span class=\"nf\">get_log_likelihood<\/span><span class=\"p\">(<\/span><span class=\"bp\">self<\/span><span class=\"p\">,<\/span> <span class=\"n\">data<\/span><span class=\"p\">,<\/span> <span class=\"n\">all_hidden_states<\/span><span class=\"p\">):<\/span>\r\n\r\n        <span class=\"n\">term_h<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">dot<\/span><span class=\"p\">(<\/span><span class=\"n\">all_hidden_states<\/span><span class=\"p\">,<\/span> <span class=\"bp\">self<\/span><span class=\"o\">.<\/span><span class=\"n\">c<\/span><span class=\"p\">)<\/span>\r\n        <span class=\"n\">vis_act<\/span> <span class=\"o\">=<\/span> <span class=\"bp\">self<\/span><span class=\"o\">.<\/span><span class=\"n\">b<\/span> <span class=\"o\">+<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">dot<\/span><span class=\"p\">(<\/span><span class=\"n\">all_hidden_states<\/span><span class=\"p\">,<\/span> <span class=\"bp\">self<\/span><span class=\"o\">.<\/span><span class=\"n\">W<\/span><span class=\"o\">.<\/span><span class=\"n\">T<\/span><span class=\"p\">)<\/span>\r\n        <span class=\"n\">log_Z<\/span> <span class=\"o\">=<\/span> <span class=\"n\">logsumexp<\/span><span class=\"p\">(<\/span><span class=\"n\">term_h<\/span> <span class=\"o\">+<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">sum<\/span><span class=\"p\">(<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">logaddexp<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">vis_act<\/span><span class=\"p\">),<\/span> <span class=\"n\">axis<\/span><span class=\"o\">=<\/span><span class=\"mi\">1<\/span><span class=\"p\">))<\/span>\r\n\r\n        <span class=\"n\">data_term<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">dot<\/span><span class=\"p\">(<\/span><span class=\"n\">data<\/span><span class=\"p\">,<\/span> <span class=\"bp\">self<\/span><span class=\"o\">.<\/span><span class=\"n\">b<\/span><span class=\"p\">)<\/span>\r\n        <span class=\"n\">hid_act<\/span> <span class=\"o\">=<\/span> <span class=\"bp\">self<\/span><span class=\"o\">.<\/span><span class=\"n\">c<\/span> <span class=\"o\">+<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">dot<\/span><span class=\"p\">(<\/span><span class=\"n\">data<\/span><span class=\"p\">,<\/span> <span class=\"bp\">self<\/span><span class=\"o\">.<\/span><span class=\"n\">W<\/span><span class=\"p\">)<\/span>\r\n        <span class=\"n\">log_unnorm<\/span> <span class=\"o\">=<\/span> <span class=\"n\">data_term<\/span> <span class=\"o\">+<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">sum<\/span><span class=\"p\">(<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">logaddexp<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">hid_act<\/span><span class=\"p\">),<\/span> <span class=\"n\">axis<\/span><span class=\"o\">=<\/span><span class=\"mi\">1<\/span><span class=\"p\">)<\/span>\r\n\r\n        <span class=\"k\">return<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">mean<\/span><span class=\"p\">(<\/span><span class=\"n\">log_unnorm<\/span> <span class=\"o\">-<\/span> <span class=\"n\">log_Z<\/span><span class=\"p\">)<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\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<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<h3><span class=\"ez-toc-section\" id=\"%E3%83%87%E3%83%BC%E3%82%BF%E8%A8%AD%E5%AE%9A\"><\/span>\u30c7\u30fc\u30bf\u8a2d\u5b9a<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<p>2\u3064\u306eRBM\u5b66\u7fd2\u5668\u3092\u8a13\u7df4\u30c7\u30fc\u30bf\u3067\u5b66\u7fd2\u3055\u305b\u3066\u3001\u30c6\u30b9\u30c8\u30c7\u30fc\u30bf\u3067\u8a55\u4fa1\u3057\u307e\u3059\u3002\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8512\u679a\u306e\u5185\u3001400\u679a\u3092\u8a13\u7df4\u30c7\u30fc\u30bf\u3068\u3057\u3066\u3001112\u679a\u3092\u30c6\u30b9\u30c8\u30c7\u30fc\u30bf\u3068\u3057\u3066\u6271\u3044\u307e\u3059\u3002\u8a13\u7df4\u30c7\u30fc\u30bf\u3068\u30c6\u30b9\u30c8\u30c7\u30fc\u30bf\u306b\u542b\u307e\u308c\u308bBars\u3068Stripes\u306e\u5272\u5408\u306f\u7b49\u3057\u3044\u3088\u3046\u306b\u3057\u307e\u3059\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\"highlight hl-python\">\n<pre><span><\/span><span class=\"c1\"># \u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u306e\u751f\u6210<\/span>\r\n<span class=\"n\">dataset<\/span> <span class=\"o\">=<\/span> <span class=\"n\">generate_bas_dataset<\/span><span class=\"p\">()<\/span>\r\n\r\n<span class=\"c1\"># \u30e9\u30d9\u30eb\u3054\u3068\u306b\u30c7\u30fc\u30bf\u3092\u5206\u3051\u308b<\/span>\r\n<span class=\"c1\"># Label: Bars=[0,1], Stripes=[1,0]<\/span>\r\n<span class=\"n\">all_bars<\/span> <span class=\"o\">=<\/span> <span class=\"n\">dataset<\/span><span class=\"p\">[(<\/span><span class=\"n\">dataset<\/span><span class=\"p\">[:,<\/span> <span class=\"mi\">62<\/span><span class=\"p\">]<\/span> <span class=\"o\">==<\/span> <span class=\"mi\">0<\/span><span class=\"p\">)<\/span> <span class=\"o\">&amp;<\/span> <span class=\"p\">(<\/span><span class=\"n\">dataset<\/span><span class=\"p\">[:,<\/span> <span class=\"mi\">63<\/span><span class=\"p\">]<\/span> <span class=\"o\">==<\/span> <span class=\"mi\">1<\/span><span class=\"p\">)]<\/span>\r\n<span class=\"n\">all_stripes<\/span> <span class=\"o\">=<\/span> <span class=\"n\">dataset<\/span><span class=\"p\">[(<\/span><span class=\"n\">dataset<\/span><span class=\"p\">[:,<\/span> <span class=\"mi\">62<\/span><span class=\"p\">]<\/span> <span class=\"o\">==<\/span> <span class=\"mi\">1<\/span><span class=\"p\">)<\/span> <span class=\"o\">&amp;<\/span> <span class=\"p\">(<\/span><span class=\"n\">dataset<\/span><span class=\"p\">[:,<\/span> <span class=\"mi\">63<\/span><span class=\"p\">]<\/span> <span class=\"o\">==<\/span> <span class=\"mi\">0<\/span><span class=\"p\">)]<\/span>\r\n\r\n<span class=\"c1\"># \u305d\u308c\u305e\u308c\u306e\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u3092\u30b7\u30e3\u30c3\u30d5\u30eb<\/span>\r\n<span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">random<\/span><span class=\"o\">.<\/span><span class=\"n\">shuffle<\/span><span class=\"p\">(<\/span><span class=\"n\">all_bars<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">random<\/span><span class=\"o\">.<\/span><span class=\"n\">shuffle<\/span><span class=\"p\">(<\/span><span class=\"n\">all_stripes<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u8a13\u7df4\u30c7\u30fc\u30bf\u306b\u5272\u308a\u5f53\u3066\u308b\u6570\u3092\u6c7a\u3081\u308b<\/span>\r\n<span class=\"n\">n_train_per_class<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">200<\/span>\r\n\r\n<span class=\"c1\"># \u5404\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u304b\u3089200\u500b\u305a\u3064\u8a13\u7df4\u30c7\u30fc\u30bf\u3078\u3001\u6b8b\u308a\u3092\u30c6\u30b9\u30c8\u30c7\u30fc\u30bf\u3078<\/span>\r\n<span class=\"n\">train_bars<\/span> <span class=\"o\">=<\/span> <span class=\"n\">all_bars<\/span><span class=\"p\">[:<\/span><span class=\"n\">n_train_per_class<\/span><span class=\"p\">]<\/span>\r\n<span class=\"n\">test_bars<\/span> <span class=\"o\">=<\/span> <span class=\"n\">all_bars<\/span><span class=\"p\">[<\/span><span class=\"n\">n_train_per_class<\/span><span class=\"p\">:]<\/span>\r\n\r\n<span class=\"n\">train_stripes<\/span> <span class=\"o\">=<\/span> <span class=\"n\">all_stripes<\/span><span class=\"p\">[:<\/span><span class=\"n\">n_train_per_class<\/span><span class=\"p\">]<\/span>\r\n<span class=\"n\">test_stripes<\/span> <span class=\"o\">=<\/span> <span class=\"n\">all_stripes<\/span><span class=\"p\">[<\/span><span class=\"n\">n_train_per_class<\/span><span class=\"p\">:]<\/span>\r\n\r\n<span class=\"c1\"># \u8a13\u7df4\u30c7\u30fc\u30bf\u3068\u30c6\u30b9\u30c8\u30c7\u30fc\u30bf\u3092\u7d50\u5408\u3057\u3066\u3001\u3055\u3089\u306b\u5168\u4f53\u3092\u30b7\u30e3\u30c3\u30d5\u30eb<\/span>\r\n<span class=\"n\">train_data<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">concatenate<\/span><span class=\"p\">([<\/span><span class=\"n\">train_bars<\/span><span class=\"p\">,<\/span> <span class=\"n\">train_stripes<\/span><span class=\"p\">])<\/span>\r\n<span class=\"n\">test_data<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">concatenate<\/span><span class=\"p\">([<\/span><span class=\"n\">test_bars<\/span><span class=\"p\">,<\/span> <span class=\"n\">test_stripes<\/span><span class=\"p\">])<\/span>\r\n\r\n<span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">random<\/span><span class=\"o\">.<\/span><span class=\"n\">shuffle<\/span><span class=\"p\">(<\/span><span class=\"n\">train_data<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">random<\/span><span class=\"o\">.<\/span><span class=\"n\">shuffle<\/span><span class=\"p\">(<\/span><span class=\"n\">test_data<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u7d50\u679c\u306e\u78ba\u8a8d<\/span>\r\n<span class=\"nb\">print<\/span><span class=\"p\">(<\/span><span class=\"sa\">f<\/span><span class=\"s2\">\"Train Set: Bars=<\/span><span class=\"si\">{<\/span><span class=\"nb\">len<\/span><span class=\"p\">(<\/span><span class=\"n\">train_bars<\/span><span class=\"p\">)<\/span><span class=\"si\">}<\/span><span class=\"s2\">, Stripes=<\/span><span class=\"si\">{<\/span><span class=\"nb\">len<\/span><span class=\"p\">(<\/span><span class=\"n\">train_stripes<\/span><span class=\"p\">)<\/span><span class=\"si\">}<\/span><span class=\"s2\"> (Total: <\/span><span class=\"si\">{<\/span><span class=\"nb\">len<\/span><span class=\"p\">(<\/span><span class=\"n\">train_data<\/span><span class=\"p\">)<\/span><span class=\"si\">}<\/span><span class=\"s2\">)\"<\/span><span class=\"p\">)<\/span>\r\n<span class=\"nb\">print<\/span><span class=\"p\">(<\/span><span class=\"sa\">f<\/span><span class=\"s2\">\"Test Set: Bars=<\/span><span class=\"si\">{<\/span><span class=\"nb\">len<\/span><span class=\"p\">(<\/span><span class=\"n\">test_bars<\/span><span class=\"p\">)<\/span><span class=\"si\">}<\/span><span class=\"s2\">, Stripes=<\/span><span class=\"si\">{<\/span><span class=\"nb\">len<\/span><span class=\"p\">(<\/span><span class=\"n\">test_stripes<\/span><span class=\"p\">)<\/span><span class=\"si\">}<\/span><span class=\"s2\"> (Total: <\/span><span class=\"si\">{<\/span><span class=\"nb\">len<\/span><span class=\"p\">(<\/span><span class=\"n\">test_data<\/span><span class=\"p\">)<\/span><span class=\"si\">}<\/span><span class=\"s2\">)\"<\/span><span class=\"p\">)<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"output_wrapper\">\n<div class=\"output\">\n<div class=\"output_area\">\n<div class=\"prompt\"><\/div>\n<div class=\"output_subarea output_stream output_stdout output_text\">\n<pre>Train Set: Bars=200, Stripes=200 (Total: 400)\r\nTest Set: Bars=56, Stripes=56 (Total: 112)\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<h3><span class=\"ez-toc-section\" id=\"%E5%AE%9F%E9%A8%931_%E7%94%BB%E5%83%8F%E5%88%86%E9%A1%9E\"><\/span>\u5b9f\u9a131 : \u753b\u50cf\u5206\u985e<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<p>\u3067\u306f\u5b9f\u969b\u306bRBM\u3092\u5b66\u7fd2\u3057\u3066\u753b\u50cf\u5206\u985e\u3092\u884c\u3044\u307e\u3059\u3002\u53ef\u8996\u5c64\u306e\u30ce\u30fc\u30c9\u309264\u3001\u96a0\u308c\u5c64\u306e\u30ce\u30fc\u30c9\u309264\u306b\u8a2d\u5b9a\u3057\u307e\u3059\u3002\u5b66\u7fd2\u7387\u306f0.10\u3067\u30d0\u30c3\u30c1\u30b5\u30a4\u30ba\u306f64\u306b\u3057\u307e\u3059\u3002\u30a8\u30dd\u30c3\u30af\u6570\u3092400\u306b\u3057\u3066\u5b66\u7fd2\u3055\u305b\u307e\u3059\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\"highlight hl-python\">\n<pre><span><\/span><span class=\"sd\">\"\"\"<\/span>\r\n<span class=\"sd\">epochs: \u5b66\u7fd2\u56de\u6570<\/span>\r\n<span class=\"sd\">batch_size: \u30d0\u30c3\u30c1\u30b5\u30a4\u30ba<\/span>\r\n<span class=\"sd\">rbm_cd: CD-1\u306e\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u306b\u3088\u308b\u5b66\u7fd2\u5668<\/span>\r\n<span class=\"sd\">rbm_sa: SA\u306e\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u306b\u3088\u308b\u5b66\u7fd2\u5668<\/span>\r\n<span class=\"sd\">\"\"\"<\/span>\r\n\r\n<span class=\"c1\"># \u30e2\u30c7\u30eb\u306e\u521d\u671f\u5316<\/span>\r\n<span class=\"n\">epochs<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">400<\/span>\r\n<span class=\"n\">batch_size<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">64<\/span>\r\n<span class=\"n\">rbm_cd<\/span> <span class=\"o\">=<\/span> <span class=\"n\">IntegratedRBM<\/span><span class=\"p\">(<\/span><span class=\"mi\">64<\/span><span class=\"p\">,<\/span> <span class=\"mi\">64<\/span><span class=\"p\">,<\/span> <span class=\"n\">learning_rate<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.10<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">rbm_sa<\/span> <span class=\"o\">=<\/span> <span class=\"n\">IntegratedRBM<\/span><span class=\"p\">(<\/span><span class=\"mi\">64<\/span><span class=\"p\">,<\/span> <span class=\"mi\">64<\/span><span class=\"p\">,<\/span> <span class=\"n\">learning_rate<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.10<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"nb\">print<\/span><span class=\"p\">(<\/span><span class=\"s2\">\"Training starting...\"<\/span><span class=\"p\">)<\/span>\r\n<span class=\"k\">for<\/span> <span class=\"n\">epoch<\/span> <span class=\"ow\">in<\/span> <span class=\"nb\">range<\/span><span class=\"p\">(<\/span><span class=\"mi\">1<\/span><span class=\"p\">,<\/span> <span class=\"n\">epochs<\/span> <span class=\"o\">+<\/span> <span class=\"mi\">1<\/span><span class=\"p\">):<\/span>\r\n    <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">random<\/span><span class=\"o\">.<\/span><span class=\"n\">shuffle<\/span><span class=\"p\">(<\/span><span class=\"n\">train_data<\/span><span class=\"p\">)<\/span>\r\n    <span class=\"k\">for<\/span> <span class=\"n\">i<\/span> <span class=\"ow\">in<\/span> <span class=\"nb\">range<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"nb\">len<\/span><span class=\"p\">(<\/span><span class=\"n\">train_data<\/span><span class=\"p\">),<\/span> <span class=\"n\">batch_size<\/span><span class=\"p\">):<\/span>\r\n        <span class=\"n\">batch<\/span> <span class=\"o\">=<\/span> <span class=\"n\">train_data<\/span><span class=\"p\">[<\/span><span class=\"n\">i<\/span><span class=\"p\">:<\/span><span class=\"n\">i<\/span><span class=\"o\">+<\/span><span class=\"n\">batch_size<\/span><span class=\"p\">]<\/span>\r\n        <span class=\"n\">rbm_cd<\/span><span class=\"o\">.<\/span><span class=\"n\">train_step_cd<\/span><span class=\"p\">(<\/span><span class=\"n\">batch<\/span><span class=\"p\">)<\/span>\r\n        <span class=\"n\">rbm_sa<\/span><span class=\"o\">.<\/span><span class=\"n\">train_step_sa<\/span><span class=\"p\">(<\/span><span class=\"n\">batch<\/span><span class=\"p\">,<\/span> <span class=\"n\">num_reads<\/span><span class=\"o\">=<\/span><span class=\"n\">batch_size<\/span><span class=\"p\">)<\/span>\r\n\r\n    <span class=\"c1\"># \u30a8\u30dd\u30c3\u30af\u6bce\u306b\u6b63\u89e3\u7387\u3092\u8a18\u9332<\/span>\r\n    <span class=\"n\">rbm_cd<\/span><span class=\"o\">.<\/span><span class=\"n\">history<\/span><span class=\"p\">[<\/span><span class=\"s1\">'bars_acc'<\/span><span class=\"p\">]<\/span><span class=\"o\">.<\/span><span class=\"n\">append<\/span><span class=\"p\">(<\/span><span class=\"n\">rbm_cd<\/span><span class=\"o\">.<\/span><span class=\"n\">get_accuracy<\/span><span class=\"p\">(<\/span><span class=\"n\">test_bars<\/span><span class=\"p\">))<\/span>\r\n    <span class=\"n\">rbm_cd<\/span><span class=\"o\">.<\/span><span class=\"n\">history<\/span><span class=\"p\">[<\/span><span class=\"s1\">'stripes_acc'<\/span><span class=\"p\">]<\/span><span class=\"o\">.<\/span><span class=\"n\">append<\/span><span class=\"p\">(<\/span><span class=\"n\">rbm_cd<\/span><span class=\"o\">.<\/span><span class=\"n\">get_accuracy<\/span><span class=\"p\">(<\/span><span class=\"n\">test_stripes<\/span><span class=\"p\">))<\/span>\r\n    <span class=\"n\">rbm_sa<\/span><span class=\"o\">.<\/span><span class=\"n\">history<\/span><span class=\"p\">[<\/span><span class=\"s1\">'bars_acc'<\/span><span class=\"p\">]<\/span><span class=\"o\">.<\/span><span class=\"n\">append<\/span><span class=\"p\">(<\/span><span class=\"n\">rbm_sa<\/span><span class=\"o\">.<\/span><span class=\"n\">get_accuracy<\/span><span class=\"p\">(<\/span><span class=\"n\">test_bars<\/span><span class=\"p\">))<\/span>\r\n    <span class=\"n\">rbm_sa<\/span><span class=\"o\">.<\/span><span class=\"n\">history<\/span><span class=\"p\">[<\/span><span class=\"s1\">'stripes_acc'<\/span><span class=\"p\">]<\/span><span class=\"o\">.<\/span><span class=\"n\">append<\/span><span class=\"p\">(<\/span><span class=\"n\">rbm_sa<\/span><span class=\"o\">.<\/span><span class=\"n\">get_accuracy<\/span><span class=\"p\">(<\/span><span class=\"n\">test_stripes<\/span><span class=\"p\">))<\/span>\r\n\r\n    <span class=\"k\">if<\/span> <span class=\"n\">epoch<\/span> <span class=\"o\">%<\/span> <span class=\"mi\">50<\/span> <span class=\"o\">==<\/span> <span class=\"mi\">0<\/span><span class=\"p\">:<\/span>\r\n        <span class=\"nb\">print<\/span><span class=\"p\">(<\/span><span class=\"sa\">f<\/span><span class=\"s2\">\"Epoch <\/span><span class=\"si\">{<\/span><span class=\"n\">epoch<\/span><span class=\"si\">}<\/span><span class=\"s2\"> completed.\"<\/span><span class=\"p\">)<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"output_wrapper\">\n<div class=\"output\">\n<div class=\"output_area\">\n<div class=\"prompt\"><\/div>\n<div class=\"output_subarea output_stream output_stdout output_text\">\n<pre>Training starting...\r\nEpoch 50 completed.\r\nEpoch 100 completed.\r\nEpoch 150 completed.\r\nEpoch 200 completed.\r\nEpoch 250 completed.\r\nEpoch 300 completed.\r\nEpoch 350 completed.\r\nEpoch 400 completed.\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<p>CD-1\u5b66\u7fd2\u306eRBM\u3068SA\u5b66\u7fd2\u306eRBM\u306b\u3064\u3044\u3066\u3001Bars\u3068Stripes\u306e\u30a8\u30dd\u30c3\u30af\u6bce\u306e\u6b63\u89e3\u7387\u3092\u63cf\u5199\u3057\u307e\u3059\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\"highlight hl-python\">\n<pre><span><\/span><span class=\"n\">fig<\/span><span class=\"p\">,<\/span> <span class=\"n\">axes<\/span> <span class=\"o\">=<\/span> <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">subplots<\/span><span class=\"p\">(<\/span><span class=\"mi\">1<\/span><span class=\"p\">,<\/span> <span class=\"mi\">2<\/span><span class=\"p\">,<\/span> <span class=\"n\">figsize<\/span><span class=\"o\">=<\/span><span class=\"p\">(<\/span><span class=\"mi\">14<\/span><span class=\"p\">,<\/span> <span class=\"mi\">5<\/span><span class=\"p\">))<\/span>\r\n\r\n<span class=\"c1\"># Bars\u306e\u6b63\u89e3\u7387<\/span>\r\n<span class=\"n\">axes<\/span><span class=\"p\">[<\/span><span class=\"mi\">0<\/span><span class=\"p\">]<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">(<\/span><span class=\"nb\">range<\/span><span class=\"p\">(<\/span><span class=\"n\">epochs<\/span><span class=\"p\">),<\/span> <span class=\"n\">rbm_cd<\/span><span class=\"o\">.<\/span><span class=\"n\">history<\/span><span class=\"p\">[<\/span><span class=\"s1\">'bars_acc'<\/span><span class=\"p\">],<\/span> <span class=\"n\">label<\/span><span class=\"o\">=<\/span><span class=\"s1\">'CD-1'<\/span><span class=\"p\">,<\/span> <span class=\"n\">color<\/span><span class=\"o\">=<\/span><span class=\"s1\">'black'<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">axes<\/span><span class=\"p\">[<\/span><span class=\"mi\">0<\/span><span class=\"p\">]<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">(<\/span><span class=\"nb\">range<\/span><span class=\"p\">(<\/span><span class=\"n\">epochs<\/span><span class=\"p\">),<\/span> <span class=\"n\">rbm_sa<\/span><span class=\"o\">.<\/span><span class=\"n\">history<\/span><span class=\"p\">[<\/span><span class=\"s1\">'bars_acc'<\/span><span class=\"p\">],<\/span> <span class=\"n\">label<\/span><span class=\"o\">=<\/span><span class=\"s1\">'SA (OpenJij)'<\/span><span class=\"p\">,<\/span> <span class=\"n\">color<\/span><span class=\"o\">=<\/span><span class=\"s1\">'orange'<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">axes<\/span><span class=\"p\">[<\/span><span class=\"mi\">0<\/span><span class=\"p\">]<\/span><span class=\"o\">.<\/span><span class=\"n\">set_title<\/span><span class=\"p\">(<\/span><span class=\"s1\">'Classification Accuracy (Bars)'<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">axes<\/span><span class=\"p\">[<\/span><span class=\"mi\">0<\/span><span class=\"p\">]<\/span><span class=\"o\">.<\/span><span class=\"n\">set_xlabel<\/span><span class=\"p\">(<\/span><span class=\"s1\">'Epoch'<\/span><span class=\"p\">);<\/span> <span class=\"n\">axes<\/span><span class=\"p\">[<\/span><span class=\"mi\">0<\/span><span class=\"p\">]<\/span><span class=\"o\">.<\/span><span class=\"n\">set_ylabel<\/span><span class=\"p\">(<\/span><span class=\"s1\">'Accuracy'<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">axes<\/span><span class=\"p\">[<\/span><span class=\"mi\">0<\/span><span class=\"p\">]<\/span><span class=\"o\">.<\/span><span class=\"n\">set_ylim<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"mf\">1.05<\/span><span class=\"p\">);<\/span> <span class=\"n\">axes<\/span><span class=\"p\">[<\/span><span class=\"mi\">0<\/span><span class=\"p\">]<\/span><span class=\"o\">.<\/span><span class=\"n\">legend<\/span><span class=\"p\">();<\/span> <span class=\"n\">axes<\/span><span class=\"p\">[<\/span><span class=\"mi\">0<\/span><span class=\"p\">]<\/span><span class=\"o\">.<\/span><span class=\"n\">grid<\/span><span class=\"p\">(<\/span><span class=\"kc\">True<\/span><span class=\"p\">,<\/span> <span class=\"n\">linestyle<\/span><span class=\"o\">=<\/span><span class=\"s1\">'--'<\/span><span class=\"p\">,<\/span> <span class=\"n\">alpha<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.6<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># Stripes\u306e\u6b63\u89e3\u7387<\/span>\r\n<span class=\"n\">axes<\/span><span class=\"p\">[<\/span><span class=\"mi\">1<\/span><span class=\"p\">]<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">(<\/span><span class=\"nb\">range<\/span><span class=\"p\">(<\/span><span class=\"n\">epochs<\/span><span class=\"p\">),<\/span> <span class=\"n\">rbm_cd<\/span><span class=\"o\">.<\/span><span class=\"n\">history<\/span><span class=\"p\">[<\/span><span class=\"s1\">'stripes_acc'<\/span><span class=\"p\">],<\/span> <span class=\"n\">label<\/span><span class=\"o\">=<\/span><span class=\"s1\">'CD-1'<\/span><span class=\"p\">,<\/span> <span class=\"n\">color<\/span><span class=\"o\">=<\/span><span class=\"s1\">'black'<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">axes<\/span><span class=\"p\">[<\/span><span class=\"mi\">1<\/span><span class=\"p\">]<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">(<\/span><span class=\"nb\">range<\/span><span class=\"p\">(<\/span><span class=\"n\">epochs<\/span><span class=\"p\">),<\/span> <span class=\"n\">rbm_sa<\/span><span class=\"o\">.<\/span><span class=\"n\">history<\/span><span class=\"p\">[<\/span><span class=\"s1\">'stripes_acc'<\/span><span class=\"p\">],<\/span> <span class=\"n\">label<\/span><span class=\"o\">=<\/span><span class=\"s1\">'SA (OpenJij)'<\/span><span class=\"p\">,<\/span> <span class=\"n\">color<\/span><span class=\"o\">=<\/span><span class=\"s1\">'orange'<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">axes<\/span><span class=\"p\">[<\/span><span class=\"mi\">1<\/span><span class=\"p\">]<\/span><span class=\"o\">.<\/span><span class=\"n\">set_title<\/span><span class=\"p\">(<\/span><span class=\"s1\">'Classification Accuracy (Stripes)'<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">axes<\/span><span class=\"p\">[<\/span><span class=\"mi\">1<\/span><span class=\"p\">]<\/span><span class=\"o\">.<\/span><span class=\"n\">set_xlabel<\/span><span class=\"p\">(<\/span><span class=\"s1\">'Epoch'<\/span><span class=\"p\">);<\/span> <span class=\"n\">axes<\/span><span class=\"p\">[<\/span><span class=\"mi\">1<\/span><span class=\"p\">]<\/span><span class=\"o\">.<\/span><span class=\"n\">set_ylabel<\/span><span class=\"p\">(<\/span><span class=\"s1\">'Accuracy'<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">axes<\/span><span class=\"p\">[<\/span><span class=\"mi\">1<\/span><span class=\"p\">]<\/span><span class=\"o\">.<\/span><span class=\"n\">set_ylim<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"mf\">1.05<\/span><span class=\"p\">);<\/span> <span class=\"n\">axes<\/span><span class=\"p\">[<\/span><span class=\"mi\">1<\/span><span class=\"p\">]<\/span><span class=\"o\">.<\/span><span class=\"n\">legend<\/span><span class=\"p\">();<\/span> <span class=\"n\">axes<\/span><span class=\"p\">[<\/span><span class=\"mi\">1<\/span><span class=\"p\">]<\/span><span class=\"o\">.<\/span><span class=\"n\">grid<\/span><span class=\"p\">(<\/span><span class=\"kc\">True<\/span><span class=\"p\">,<\/span> <span class=\"n\">linestyle<\/span><span class=\"o\">=<\/span><span class=\"s1\">'--'<\/span><span class=\"p\">,<\/span> <span class=\"n\">alpha<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.6<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">tight_layout<\/span><span class=\"p\">()<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">show<\/span><span class=\"p\">()<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"output_wrapper\">\n<div class=\"output\">\n<div class=\"output_area\">\n<div class=\"prompt\"><\/div>\n<div class=\"output_png output_subarea\"><img decoding=\"async\" alt=\"No description has been provided for this image\" 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\/><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<h3><span class=\"ez-toc-section\" id=\"%E5%AE%9F%E9%A8%932_%E7%94%BB%E5%83%8F%E5%86%8D%E6%A7%8B%E6%88%90\"><\/span>\u5b9f\u9a132 \u753b\u50cf\u518d\u69cb\u6210<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<h4><span class=\"ez-toc-section\" id=\"%E7%94%BB%E5%83%8F%E5%86%8D%E6%A7%8B%E6%88%90%E3%81%AE%E7%B5%90%E6%9E%9C\"><\/span>\u753b\u50cf\u518d\u69cb\u6210\u306e\u7d50\u679c<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<p>\u6b21\u306e\u30b1\u30fc\u30b9A\u3001B\u3001C\u306b\u3064\u3044\u3066\u753b\u50cf\u518d\u69cb\u6210\u3092\u884c\u3063\u305f\u6642\u3001\u518d\u69cb\u6210\u3055\u308c\u305f\u753b\u50cf\u3092\u6bd4\u8f03\u3057\u307e\u3059\u3002<\/p>\n<p>\u30b1\u30fc\u30b9A: \u30e9\u30d9\u30eb(2\u30d3\u30c3\u30c8)\u3092\u7834\u640d\u3055\u305b\u305f\u5834\u5408<\/p>\n<p>\u30b1\u30fc\u30b9B: \u753b\u50cf\u306e\u53f3\u4e0b4\u00d74(16\u30d3\u30c3\u30c8)\u3092\u7834\u640d\u3055\u305b\u305f\u5834\u5408<\/p>\n<p>\u30b1\u30fc\u30b9C: \u3059\u3079\u3066\u306e\u753b\u50cf(64\u30d3\u30c3\u30c8)\u3092\u7834\u640d\u3055\u305b\u305f\u5834\u5408<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\"highlight hl-python\">\n<pre><span><\/span><span class=\"c1\"># \u30b5\u30f3\u30d7\u30eb\u753b\u50cf\u306e\u7528\u610f<\/span>\r\n<span class=\"n\">sample_bar<\/span> <span class=\"o\">=<\/span> <span class=\"n\">dataset<\/span><span class=\"p\">[<\/span><span class=\"mi\">10<\/span><span class=\"p\">]<\/span>      <span class=\"c1\"># Bar\u30d1\u30bf\u30fc\u30f3<\/span>\r\n<span class=\"n\">sample_stripe<\/span> <span class=\"o\">=<\/span> <span class=\"n\">dataset<\/span><span class=\"p\">[<\/span><span class=\"o\">-<\/span><span class=\"mi\">46<\/span><span class=\"p\">]<\/span>  <span class=\"c1\"># Stripe\u30d1\u30bf\u30fc\u30f3<\/span>\r\n\r\n<span class=\"c1\"># \u30b1\u30fc\u30b9A: \u30e9\u30d9\u30eb\u306e\u7834\u640d<\/span>\r\n<span class=\"n\">mask_A<\/span> <span class=\"o\">=<\/span> <span class=\"p\">[<\/span><span class=\"mi\">62<\/span><span class=\"p\">,<\/span> <span class=\"mi\">63<\/span><span class=\"p\">]<\/span>\r\n<span class=\"n\">target_A<\/span> <span class=\"o\">=<\/span> <span class=\"n\">sample_bar<\/span><span class=\"o\">.<\/span><span class=\"n\">copy<\/span><span class=\"p\">()<\/span>\r\n<span class=\"c1\"># target_A = sample_stripe.copy()<\/span>\r\n<span class=\"c1\"># \u30af\u30e9\u30b9\u30e1\u30bd\u30c3\u30c9\u3068\u3057\u3066\u547c\u3073\u51fa\u3057<\/span>\r\n<span class=\"n\">corp_A<\/span><span class=\"p\">,<\/span> <span class=\"n\">cd_res_A<\/span> <span class=\"o\">=<\/span> <span class=\"n\">rbm_cd<\/span><span class=\"o\">.<\/span><span class=\"n\">reconstruct_image<\/span><span class=\"p\">(<\/span><span class=\"n\">target_A<\/span><span class=\"p\">,<\/span> <span class=\"n\">mask_A<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">_<\/span><span class=\"p\">,<\/span> <span class=\"n\">sa_res_A<\/span>      <span class=\"o\">=<\/span> <span class=\"n\">rbm_sa<\/span><span class=\"o\">.<\/span><span class=\"n\">reconstruct_image<\/span><span class=\"p\">(<\/span><span class=\"n\">target_A<\/span><span class=\"p\">,<\/span> <span class=\"n\">mask_A<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u30b1\u30fc\u30b9B: \u53f3\u4e0b4\u00d74(16\u30d3\u30c3\u30c8)\u306e\u7834\u640d<\/span>\r\n<span class=\"n\">mask_B<\/span> <span class=\"o\">=<\/span> <span class=\"p\">[]<\/span>\r\n<span class=\"k\">for<\/span> <span class=\"n\">r<\/span> <span class=\"ow\">in<\/span> <span class=\"nb\">range<\/span><span class=\"p\">(<\/span><span class=\"mi\">4<\/span><span class=\"p\">,<\/span> <span class=\"mi\">8<\/span><span class=\"p\">):<\/span>\r\n    <span class=\"k\">for<\/span> <span class=\"n\">c<\/span> <span class=\"ow\">in<\/span> <span class=\"nb\">range<\/span><span class=\"p\">(<\/span><span class=\"mi\">4<\/span><span class=\"p\">,<\/span> <span class=\"mi\">8<\/span><span class=\"p\">):<\/span>\r\n        <span class=\"n\">mask_B<\/span><span class=\"o\">.<\/span><span class=\"n\">append<\/span><span class=\"p\">(<\/span><span class=\"n\">r<\/span> <span class=\"o\">*<\/span> <span class=\"mi\">8<\/span> <span class=\"o\">+<\/span> <span class=\"n\">c<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">mask_B<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">array<\/span><span class=\"p\">(<\/span><span class=\"n\">mask_B<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"n\">target_B<\/span> <span class=\"o\">=<\/span> <span class=\"n\">sample_bar<\/span><span class=\"o\">.<\/span><span class=\"n\">copy<\/span><span class=\"p\">()<\/span>\r\n<span class=\"c1\"># target_B = sample_stripe.copy()<\/span>\r\n<span class=\"n\">corp_B<\/span><span class=\"p\">,<\/span> <span class=\"n\">cd_res_B<\/span> <span class=\"o\">=<\/span> <span class=\"n\">rbm_cd<\/span><span class=\"o\">.<\/span><span class=\"n\">reconstruct_image<\/span><span class=\"p\">(<\/span><span class=\"n\">target_B<\/span><span class=\"p\">,<\/span> <span class=\"n\">mask_B<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">_<\/span><span class=\"p\">,<\/span> <span class=\"n\">sa_res_B<\/span>      <span class=\"o\">=<\/span> <span class=\"n\">rbm_sa<\/span><span class=\"o\">.<\/span><span class=\"n\">reconstruct_image<\/span><span class=\"p\">(<\/span><span class=\"n\">target_B<\/span><span class=\"p\">,<\/span> <span class=\"n\">mask_B<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u30b1\u30fc\u30b9C: \u3059\u3079\u3066\u306e\u30d3\u30c3\u30c8\u306e\u7834\u640d<\/span>\r\n<span class=\"n\">mask_C<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">arange<\/span><span class=\"p\">(<\/span><span class=\"mi\">64<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">target_C<\/span> <span class=\"o\">=<\/span> <span class=\"n\">sample_bar<\/span><span class=\"o\">.<\/span><span class=\"n\">copy<\/span><span class=\"p\">()<\/span>\r\n<span class=\"c1\"># target_C = sample_stripe.copy()<\/span>\r\n\r\n<span class=\"n\">corp_C<\/span><span class=\"p\">,<\/span> <span class=\"n\">cd_res_C<\/span> <span class=\"o\">=<\/span> <span class=\"n\">rbm_cd<\/span><span class=\"o\">.<\/span><span class=\"n\">reconstruct_image<\/span><span class=\"p\">(<\/span><span class=\"n\">target_C<\/span><span class=\"p\">,<\/span> <span class=\"n\">mask_C<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">_<\/span><span class=\"p\">,<\/span> <span class=\"n\">sa_res_C<\/span>      <span class=\"o\">=<\/span> <span class=\"n\">rbm_sa<\/span><span class=\"o\">.<\/span><span class=\"n\">reconstruct_image<\/span><span class=\"p\">(<\/span><span class=\"n\">target_C<\/span><span class=\"p\">,<\/span> <span class=\"n\">mask_C<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u63cf\u5199<\/span>\r\n<span class=\"n\">fig<\/span><span class=\"p\">,<\/span> <span class=\"n\">axes<\/span> <span class=\"o\">=<\/span> <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">subplots<\/span><span class=\"p\">(<\/span><span class=\"mi\">3<\/span><span class=\"p\">,<\/span> <span class=\"mi\">3<\/span><span class=\"p\">,<\/span> <span class=\"n\">figsize<\/span><span class=\"o\">=<\/span><span class=\"p\">(<\/span><span class=\"mi\">10<\/span><span class=\"p\">,<\/span> <span class=\"mi\">10<\/span><span class=\"p\">))<\/span>\r\n<span class=\"n\">cmap<\/span> <span class=\"o\">=<\/span> <span class=\"s1\">'viridis'<\/span>\r\n<span class=\"k\">def<\/span><span class=\"w\"> <\/span><span class=\"nf\">to_img<\/span><span class=\"p\">(<\/span><span class=\"n\">vec<\/span><span class=\"p\">):<\/span> <span class=\"k\">return<\/span> <span class=\"n\">vec<\/span><span class=\"o\">.<\/span><span class=\"n\">reshape<\/span><span class=\"p\">(<\/span><span class=\"mi\">8<\/span><span class=\"p\">,<\/span> <span class=\"mi\">8<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"n\">titles<\/span> <span class=\"o\">=<\/span> <span class=\"p\">[<\/span>\r\n    <span class=\"p\">(<\/span><span class=\"s2\">\"A: Label Masked(2 bits)\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">corp_A<\/span><span class=\"p\">,<\/span> <span class=\"n\">cd_res_A<\/span><span class=\"p\">,<\/span> <span class=\"n\">sa_res_A<\/span><span class=\"p\">),<\/span>\r\n    <span class=\"p\">(<\/span><span class=\"s2\">\"B: Bottom-Right Mask(16 bits)\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">corp_B<\/span><span class=\"p\">,<\/span> <span class=\"n\">cd_res_B<\/span><span class=\"p\">,<\/span> <span class=\"n\">sa_res_B<\/span><span class=\"p\">),<\/span>\r\n    <span class=\"p\">(<\/span><span class=\"s2\">\"C: Full Noise(64 bits)\"<\/span><span class=\"p\">,<\/span> <span class=\"n\">corp_C<\/span><span class=\"p\">,<\/span> <span class=\"n\">cd_res_C<\/span><span class=\"p\">,<\/span> <span class=\"n\">sa_res_C<\/span><span class=\"p\">)<\/span>\r\n<span class=\"p\">]<\/span>\r\n\r\n<span class=\"k\">for<\/span> <span class=\"n\">i<\/span><span class=\"p\">,<\/span> <span class=\"p\">(<\/span><span class=\"n\">title<\/span><span class=\"p\">,<\/span> <span class=\"n\">corp<\/span><span class=\"p\">,<\/span> <span class=\"n\">cd_out<\/span><span class=\"p\">,<\/span> <span class=\"n\">sa_out<\/span><span class=\"p\">)<\/span> <span class=\"ow\">in<\/span> <span class=\"nb\">enumerate<\/span><span class=\"p\">(<\/span><span class=\"n\">titles<\/span><span class=\"p\">):<\/span>\r\n    <span class=\"c1\"># \u7834\u640d\u3057\u305f\u753b\u50cf\u306e\u8868\u793a<\/span>\r\n    <span class=\"n\">axes<\/span><span class=\"p\">[<\/span><span class=\"n\">i<\/span><span class=\"p\">,<\/span> <span class=\"mi\">0<\/span><span class=\"p\">]<\/span><span class=\"o\">.<\/span><span class=\"n\">imshow<\/span><span class=\"p\">(<\/span><span class=\"n\">to_img<\/span><span class=\"p\">(<\/span><span class=\"n\">corp<\/span><span class=\"p\">),<\/span> <span class=\"n\">cmap<\/span><span class=\"o\">=<\/span><span class=\"n\">cmap<\/span><span class=\"p\">,<\/span> <span class=\"n\">vmin<\/span><span class=\"o\">=<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">vmax<\/span><span class=\"o\">=<\/span><span class=\"mi\">1<\/span><span class=\"p\">)<\/span>\r\n    <span class=\"n\">axes<\/span><span class=\"p\">[<\/span><span class=\"n\">i<\/span><span class=\"p\">,<\/span> <span class=\"mi\">0<\/span><span class=\"p\">]<\/span><span class=\"o\">.<\/span><span class=\"n\">set_title<\/span><span class=\"p\">(<\/span><span class=\"sa\">f<\/span><span class=\"s2\">\"<\/span><span class=\"si\">{<\/span><span class=\"n\">title<\/span><span class=\"si\">}<\/span><span class=\"se\">\\n<\/span><span class=\"s2\">Input\"<\/span><span class=\"p\">)<\/span>\r\n    <span class=\"n\">axes<\/span><span class=\"p\">[<\/span><span class=\"n\">i<\/span><span class=\"p\">,<\/span> <span class=\"mi\">0<\/span><span class=\"p\">]<\/span><span class=\"o\">.<\/span><span class=\"n\">axis<\/span><span class=\"p\">(<\/span><span class=\"s1\">'off'<\/span><span class=\"p\">)<\/span>\r\n\r\n    <span class=\"c1\"># rbm_cd\u3067\u518d\u69cb\u6210\u3057\u305f\u753b\u50cf\u306e\u8868\u793a<\/span>\r\n    <span class=\"n\">axes<\/span><span class=\"p\">[<\/span><span class=\"n\">i<\/span><span class=\"p\">,<\/span> <span class=\"mi\">1<\/span><span class=\"p\">]<\/span><span class=\"o\">.<\/span><span class=\"n\">imshow<\/span><span class=\"p\">(<\/span><span class=\"n\">to_img<\/span><span class=\"p\">(<\/span><span class=\"n\">cd_out<\/span><span class=\"p\">),<\/span> <span class=\"n\">cmap<\/span><span class=\"o\">=<\/span><span class=\"n\">cmap<\/span><span class=\"p\">,<\/span> <span class=\"n\">vmin<\/span><span class=\"o\">=<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">vmax<\/span><span class=\"o\">=<\/span><span class=\"mi\">1<\/span><span class=\"p\">)<\/span>\r\n    <span class=\"n\">axes<\/span><span class=\"p\">[<\/span><span class=\"n\">i<\/span><span class=\"p\">,<\/span> <span class=\"mi\">1<\/span><span class=\"p\">]<\/span><span class=\"o\">.<\/span><span class=\"n\">set_title<\/span><span class=\"p\">(<\/span><span class=\"s2\">\"CD-1 Output\"<\/span><span class=\"p\">)<\/span>\r\n    <span class=\"n\">axes<\/span><span class=\"p\">[<\/span><span class=\"n\">i<\/span><span class=\"p\">,<\/span> <span class=\"mi\">1<\/span><span class=\"p\">]<\/span><span class=\"o\">.<\/span><span class=\"n\">axis<\/span><span class=\"p\">(<\/span><span class=\"s1\">'off'<\/span><span class=\"p\">)<\/span>\r\n\r\n    <span class=\"c1\"># rbm_sa\u3067\u518d\u69cb\u6210\u3057\u305f\u753b\u50cf\u306e\u8868\u793a<\/span>\r\n    <span class=\"n\">axes<\/span><span class=\"p\">[<\/span><span class=\"n\">i<\/span><span class=\"p\">,<\/span> <span class=\"mi\">2<\/span><span class=\"p\">]<\/span><span class=\"o\">.<\/span><span class=\"n\">imshow<\/span><span class=\"p\">(<\/span><span class=\"n\">to_img<\/span><span class=\"p\">(<\/span><span class=\"n\">sa_out<\/span><span class=\"p\">),<\/span> <span class=\"n\">cmap<\/span><span class=\"o\">=<\/span><span class=\"n\">cmap<\/span><span class=\"p\">,<\/span> <span class=\"n\">vmin<\/span><span class=\"o\">=<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">vmax<\/span><span class=\"o\">=<\/span><span class=\"mi\">1<\/span><span class=\"p\">)<\/span>\r\n    <span class=\"n\">axes<\/span><span class=\"p\">[<\/span><span class=\"n\">i<\/span><span class=\"p\">,<\/span> <span class=\"mi\">2<\/span><span class=\"p\">]<\/span><span class=\"o\">.<\/span><span class=\"n\">set_title<\/span><span class=\"p\">(<\/span><span class=\"s2\">\"SA (OpenJij) Output\"<\/span><span class=\"p\">)<\/span>\r\n    <span class=\"n\">axes<\/span><span class=\"p\">[<\/span><span class=\"n\">i<\/span><span class=\"p\">,<\/span> <span class=\"mi\">2<\/span><span class=\"p\">]<\/span><span class=\"o\">.<\/span><span class=\"n\">axis<\/span><span class=\"p\">(<\/span><span class=\"s1\">'off'<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">tight_layout<\/span><span class=\"p\">()<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">show<\/span><span class=\"p\">()<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"output_wrapper\">\n<div class=\"output\">\n<div class=\"output_area\">\n<div class=\"prompt\"><\/div>\n<div class=\"output_png output_subarea\"><img decoding=\"async\" alt=\"No description has been provided for this image\" 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uLZcuWxbp162LRokWlda+99tpYvnx5zJw5M1atWhWjR4+OI0eOxMaNG2P58uXR0NBQ9nbcU+3VV1+NDRs2xI033viu637605+OH\/\/4x\/Gtb30rzjvvvJgyZUr069cvNm7cGIsXL46jR4\/GH\/\/4x7KLZZ2s\/deuXbvGo48+Gtddd11ceOGF8cgjj8Qf\/vCH+O53v1s6gvzRj340vvjFL8Zdd90VFRUVMWTIkHj44YdbnGccEaU\/KnzjG9+I+vr6qKysjC996UsntC3Ta6f709KOmt9kuummzM01v\/F0082X77jjjuInP\/lJMWDAgKJLly7FJZdcUqxfv77F4++7775i8ODBRVVVVTFixIiioaGh7GbRTZ588sli5MiRRVVVVdnNooHT26ZNm4oZM2YUgwYNKqqqqopevXoVo0ePLu66667i4MGDpfUGDhxYuvl7RUVFccYZZxTDhg0rZsyYUTz99NPv6TWPdVP5eMeN59\/N1q1bixkzZhQ1NTVF586diz59+hQTJ04sVq9e3er6a9euLS688MKiqqqqqKmpKe68887SPL1169bSert27SomTJhQ9OrVq4iI4tJLLy2K4n9z+l\/\/+tfiK1\/5SlFdXV307NmzmDx5cvHaa6+VvdaRI0eKb3\/720WfPn2K7t27F\/X19cWWLVuKgQMHFtddd13ZuosXLy4GDx5cVFZWFhFRrFq1qo1bEU4PjzzySHH99dcX55xzTtGzZ8+iqqqqqK2tLWbNmlW88sorRVEURWNjY9G7d+\/ikksuOe5znXXWWcX5559\/3HVeeeWVolOnTsVvfvObVr++cuXKYvz48UV1dXXRpUuXora2trj55puL3bt3t1j30ksvLYYNG1Y8++yzxUUXXVR07dq1GDhwYLFgwYIW6zY2Nhbz5s0rhg0bVnTp0qWorq4uRo4cWXz\/+98v3njjjdJ6EVHceOONLR7ffH5ZsmRJERHFc889V1rWfJ+ztccVRVEsXLiw6N69e7F3795Wt0FrHn\/88eLKK68s+vTpU3Tu3LmoqakpZsyYUWzbtq3V9U90\/7Vpv\/qll14qLr\/88qJ79+7Fxz\/+8WLu3LnFkSNHyp5j9+7dxaRJk4ru3bsX1dXVxQ033FD87W9\/a\/FvzuHDh4tZs2YVffv2LSoqKlpsq9NRRVGcxDOt+VDbtm1bnHXWWXHHHXfELbfc0t7DASAi7r333pg6dWqsWbPmAz0iAnzwpk2bFps2bYrVq1ef0POMGTMm\/v3vf5\/Ui+i11c9\/\/vP45je\/GVu2bCm7HU9zAwYMiPr6+vjlL39ZWnb++efHmDFj4qc\/\/ekHMdT3ZcqUKfHggw+etCvf0zpvJwYAgATmzp0bdXV18cQTT8To0aPbezjvy5o1a6JHjx6tXmypyVtvvRWvvfZa2akOjz76aGzevDkaGho+iGHSwYlYAABIoKamJg4ePNjew3hfHnroofjLX\/4SS5cujenTp0enTq1nSENDQzzwwANx4MCB0kWQIiI++9nPOrpJiYgFAABOqVtuuSXefPPNmDZt2nHfDvyjH\/0otmzZEj\/84Q9j\/PjxH+AIycQ5sQAAAKThPrEAAACkIWIBAABIQ8QCAACQhogFAAAgjTZfnfjorrNP5TjSqe8\/or2HEBERDTvXtfcQOoyO8j2h3GNHV7T3EE458yPwfnzk\/za39xBOuY4yP9pHKNcR9h87yvekI2wLWnq3+dGRWAAAANIQsQAAAKQhYgEAAEhDxAIAAJCGiAUAACANEQsAAEAaIhYAAIA0RCwAAABpiFgAAADSELEAAACkIWIBAABIQ8QCAACQhogFAAAgDRELAABAGiIWAACANEQsAAAAaYhYAAAA0hCxAAAApCFiAQAASEPEAgAAkIaIBQAAIA0RCwAAQBoiFgAAgDRELAAAAGmIWAAAANIQsQAAAKQhYgEAAEhDxAIAAJCGiAUAACANEQsAAEAaIhYAAIA0RCwAAABpdGrrivX9R5zCYbRdw8517T2EiOg44+gIOsrPRkfRUX42fF8AAPgwciQWAACANEQsAAAAaYhYAAAA0hCxAAAApCFiAQAASEPEAgAAkIaIBQAAIA0RCwAAQBoiFgAAgDRELAAAAGmIWAAAANIQsQAAAKQhYgEAAEhDxAIAAJCGiAUAACANEQsAAEAaIhYAAIA0RCwAAABpiFgAAADSELEAAACkIWIBAABIQ8QCAACQhogFAAAgDRELAABAGiIWAACANEQsAAAAaYhYAAAA0hCxAAAApCFiAQAASEPEAgAAkIaIBQAAIA0RCwAAQBoiFgAAgDQ6tXXFhp3rTuEw2q6+\/4j2HkKH0hG+Lx1hDBEd52ejo4wDAAA+jByJBQAAIA0RCwAAQBoiFgAAgDRELAAAAGmIWAAAANIQsQAAAKQhYgEAAEhDxAIAAJCGiAUAACANEQsAAEAaIhYAAIA0RCwAAABpiFgAAADSELEAAACkIWIBAABIQ8QCAACQhogFAAAgDRELAABAGiIWAACANEQsAAAAaYhYAAAA0hCxAAAApCFiAQAASEPEAgAAkIaIBQAAIA0RCwAAQBoiFgAAgDRELAAAAGmIWAAAANIQsQAAAKQhYgEAAEhDxAIAAJCGiAUAACCNTm1dsb7\/iFM4jLZr2LmuvYcQER1ne3QEHWVb+Nko11G2BwAAnEyOxAIAAJCGiAUAACANEQsAAEAaIhYAAIA0RCwAAABpiFgAAADSELEAAACkIWIBAABIQ8QCAACQhogFAAAgDRELAABAGiIWAACANEQsAAAAaYhYAAAA0hCxAAAApCFiAQAASEPEAgAAkIaIBQAAIA0RCwAAQBoiFgAAgDRELAAAAGmIWAAAANIQsQAAAKQhYgEAAEhDxAIAAJCGiAUAACANEQsAAEAaIhYAAIA0RCwAAABpiFgAAADSELEAAACkIWIBAABIo1N7D+C9qu8\/or2HEBERDTvXtfcQOgzbgtNdR5mXgFweO9reIwDIyZFYAAAA0hCxAAAApCFiAQAASEPEAgAAkIaIBQAAIA0RCwAAQBoiFgAAgDRELAAAAGmIWAAAANIQsQAAAKQhYgEAAEhDxAIAAJCGiAUAACANEQsAAEAaIhYAAIA0RCwAAABpiFgAAADSELEAAACkIWIBAABIQ8QCAACQhogFAAAgDRELAABAGiIWAACANEQsAAAAaYhYAAAA0hCxAAAApCFiAQAASEPEAgAAkIaIBQAAIA0RCwAAQBoiFgAAgDRELAAAAGmIWAAAANLo1NYVG3auO4XDaLv6\/iPaewgR0XHGAcfSUX5GHzva3iMAAKAtsuw\/OhILAABAGiIWAACANEQsAAAAaYhYAAAA0hCxAAAApCFiAQAASEPEAgAAkIaIBQAAIA0RCwAAQBoiFgAAgDRELAAAAGmIWAAAANIQsQAAAKQhYgEAAEhDxAIAAJCGiAUAACANEQsAAEAaIhYAAIA0RCwAAABpiFgAAADSELEAAACkIWIBAABIQ8QCAACQhogFAAAgDRELAABAGiIWAACANEQsAAAAaYhYAAAA0hCxAAAApCFiAQAASEPEAgAAkIaIBQAAIA0RCwAAQBqd2nsA5Newc117D6FDqe8\/or2HEBG+Lx8k2xoA+DDIsk\/jSCwAAABpiFgAAADSELEAAACkIWIBAABIQ8QCAACQhogFAAAgDRELAABAGiIWAACANEQsAAAAaYhYAAAA0hCxAAAApCFiAQAASEPEAgAAkIaIBQAAIA0RCwAAQBoiFgAAgDRELAAAAGmIWAAAANIQsQAAAKQhYgEAAEhDxAIAAJCGiAUAACANEQsAAEAaIhYAAIA0RCwAAABpiFgAAADSELEAAACkIWIBAABIQ8QCAACQhogFAAAgDRELAABAGiIWAACANEQsAAAAaXRq7wFk1bBzXXsPocOo7z+ivYcQER3ne9JRxsHpx+8iQMdmfqSj6yj7Eo8dPf7XHYkFAAAgDRELAABAGiIWAACANEQsAAAAaYhYAAAA0hCxAAAApCFiAQAASEPEAgAAkIaIBQAAIA0RCwAAQBoiFgAAgDRELAAAAGmIWAAAANIQsQAAAKQhYgEAAEhDxAIAAJCGiAUAACANEQsAAEAaIhYAAIA0RCwAAABpiFgAAADSELEAAACkIWIBAABIQ8QCAACQhogFAAAgDRELAABAGiIWAACANEQsAAAAaYhYAAAA0hCxAAAApCFiAQAASEPEAgAAkIaIBQAAII2KoiiK9h4EAAAAtIUjsQAAAKQhYgEAAEhDxAIAAJCGiAUAACANEQsAAEAaIhYAAIA0RCwAAABpiFgAAADSELEAAACk8f+cOsNbyoduXQAAAABJRU5ErkJggg==\" \/><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<p>10\u756a\u76ee\u306eBar\u3068Stripe\u306b\u3064\u3044\u3066\u753b\u50cf\u518d\u69cb\u6210\u3092\u884c\u3046\u3068\u3001\u30b1\u30fc\u30b9A\u3068\u30b1\u30fc\u30b9B\u306e\u5834\u5408\u306f\u3046\u307e\u304f\u518d\u69cb\u6210\u3067\u304d\u3066\u3044\u307e\u3059\u304c\u3001\u30b1\u30fc\u30b9C\u306e\u5834\u5408\u306f\u3069\u3061\u3089\u3082\u6570\u30d3\u30c3\u30c8\u9593\u9055\u3063\u3066\u3044\u308b\u69d8\u5b50\u304c\u898b\u3089\u308c\u307e\u3059\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<h4><span class=\"ez-toc-section\" id=\"%E7%94%BB%E5%83%8F%E5%86%8D%E6%A7%8B%E6%88%90%E3%81%AE%E3%82%A8%E3%83%A9%E3%83%BC%E5%88%86%E5%B8%83\"><\/span>\u753b\u50cf\u518d\u69cb\u6210\u306e\u30a8\u30e9\u30fc\u5206\u5e03<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<p>\u7d9a\u3044\u3066\u3001\u5177\u4f53\u7684\u306b\u3069\u306e\u304f\u3089\u3044\u30d3\u30c3\u30c8\u3092\u9593\u9055\u3063\u3066\u3044\u308b\u304b\u8a55\u4fa1\u3059\u308b\u305f\u3081\u306b\u3001\u30b1\u30fc\u30b9B\u306b\u3064\u3044\u3066\u518d\u69cb\u6210\u3057\u305f\u6642\u306b\u5143\u306e\u753b\u50cf\u3068\u306e\u8aa4\u308a\u30d3\u30c3\u30c8\u6570\u3092\u8a08\u7b97\u3057\u3001\u8a13\u7df4\u30c7\u30fc\u30bf\u3068\u30c6\u30b9\u30c8\u30c7\u30fc\u30bf\u306e\u5834\u5408\u3067CD\u5b66\u7fd2RBM\u3068SA\u5b66\u7fd2RBM\u306e\u6bd4\u8f03\u3092\u3057\u307e\u3059\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\"highlight hl-python\">\n<pre><span><\/span><span class=\"c1\"># \u753b\u50cf\u306e\u53f3\u4e0b4\u00d74(16\u30d3\u30c3\u30c8)\u306b\u5bfe\u5fdc\u3059\u308b\u30a4\u30f3\u30c7\u30c3\u30af\u30b9\u3092\u914d\u5217\u306b\u52a0\u3048\u308b<\/span>\r\n<span class=\"n\">mask_indices<\/span> <span class=\"o\">=<\/span> <span class=\"p\">[]<\/span>\r\n<span class=\"k\">for<\/span> <span class=\"n\">r<\/span> <span class=\"ow\">in<\/span> <span class=\"nb\">range<\/span><span class=\"p\">(<\/span><span class=\"mi\">4<\/span><span class=\"p\">,<\/span> <span class=\"mi\">8<\/span><span class=\"p\">):<\/span>\r\n    <span class=\"k\">for<\/span> <span class=\"n\">c<\/span> <span class=\"ow\">in<\/span> <span class=\"nb\">range<\/span><span class=\"p\">(<\/span><span class=\"mi\">4<\/span><span class=\"p\">,<\/span> <span class=\"mi\">8<\/span><span class=\"p\">):<\/span>\r\n        <span class=\"n\">mask_indices<\/span><span class=\"o\">.<\/span><span class=\"n\">append<\/span><span class=\"p\">(<\/span><span class=\"n\">r<\/span> <span class=\"o\">*<\/span> <span class=\"mi\">8<\/span> <span class=\"o\">+<\/span> <span class=\"n\">c<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"n\">mask_indices<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">array<\/span><span class=\"p\">(<\/span><span class=\"n\">mask_indices<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">mask_indices<\/span> <span class=\"o\">=<\/span> <span class=\"n\">mask_indices<\/span><span class=\"p\">[<\/span><span class=\"n\">mask_indices<\/span> <span class=\"o\">&lt;<\/span> <span class=\"mi\">62<\/span><span class=\"p\">]<\/span>\r\n\r\n<span class=\"c1\"># \u8aa4\u308a\u30d3\u30c3\u30c8\u6570\u306e\u8a08\u7b97<\/span>\r\n<span class=\"nb\">print<\/span><span class=\"p\">(<\/span><span class=\"s2\">\"Calculating reconstruction errors for CD and SA models...\"<\/span><span class=\"p\">)<\/span>\r\n<span class=\"c1\"># \u30af\u30e9\u30b9\u30e1\u30bd\u30c3\u30c9\u3068\u3057\u3066\u547c\u3073\u51fa\u3057<\/span>\r\n<span class=\"n\">cd_train_errors<\/span> <span class=\"o\">=<\/span> <span class=\"n\">rbm_cd<\/span><span class=\"o\">.<\/span><span class=\"n\">get_incorrect_bits<\/span><span class=\"p\">(<\/span><span class=\"n\">train_data<\/span><span class=\"p\">,<\/span> <span class=\"n\">mask_indices<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">cd_test_errors<\/span>  <span class=\"o\">=<\/span> <span class=\"n\">rbm_cd<\/span><span class=\"o\">.<\/span><span class=\"n\">get_incorrect_bits<\/span><span class=\"p\">(<\/span><span class=\"n\">test_data<\/span><span class=\"p\">,<\/span> <span class=\"n\">mask_indices<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">sa_train_errors<\/span> <span class=\"o\">=<\/span> <span class=\"n\">rbm_sa<\/span><span class=\"o\">.<\/span><span class=\"n\">get_incorrect_bits<\/span><span class=\"p\">(<\/span><span class=\"n\">train_data<\/span><span class=\"p\">,<\/span> <span class=\"n\">mask_indices<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">sa_test_errors<\/span>  <span class=\"o\">=<\/span> <span class=\"n\">rbm_sa<\/span><span class=\"o\">.<\/span><span class=\"n\">get_incorrect_bits<\/span><span class=\"p\">(<\/span><span class=\"n\">test_data<\/span><span class=\"p\">,<\/span> <span class=\"n\">mask_indices<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u63cf\u5199<\/span>\r\n<span class=\"n\">fig<\/span><span class=\"p\">,<\/span> <span class=\"n\">axes<\/span> <span class=\"o\">=<\/span> <span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">subplots<\/span><span class=\"p\">(<\/span><span class=\"mi\">2<\/span><span class=\"p\">,<\/span> <span class=\"mi\">2<\/span><span class=\"p\">,<\/span> <span class=\"n\">figsize<\/span><span class=\"o\">=<\/span><span class=\"p\">(<\/span><span class=\"mi\">12<\/span><span class=\"p\">,<\/span> <span class=\"mi\">10<\/span><span class=\"p\">))<\/span>\r\n\r\n<span class=\"n\">max_bits<\/span> <span class=\"o\">=<\/span> <span class=\"nb\">len<\/span><span class=\"p\">(<\/span><span class=\"n\">mask_indices<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">bins<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">arange<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">max_bits<\/span> <span class=\"o\">+<\/span> <span class=\"mi\">2<\/span><span class=\"p\">)<\/span> <span class=\"o\">-<\/span> <span class=\"mf\">0.5<\/span>\r\n\r\n<span class=\"k\">def<\/span><span class=\"w\"> <\/span><span class=\"nf\">plot_hist<\/span><span class=\"p\">(<\/span><span class=\"n\">ax<\/span><span class=\"p\">,<\/span> <span class=\"n\">data<\/span><span class=\"p\">,<\/span> <span class=\"n\">title<\/span><span class=\"p\">,<\/span> <span class=\"n\">color<\/span><span class=\"p\">):<\/span>\r\n    <span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">hist<\/span><span class=\"p\">(<\/span><span class=\"n\">data<\/span><span class=\"p\">,<\/span> <span class=\"n\">bins<\/span><span class=\"o\">=<\/span><span class=\"n\">bins<\/span><span class=\"p\">,<\/span> <span class=\"n\">rwidth<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.8<\/span><span class=\"p\">,<\/span> <span class=\"n\">color<\/span><span class=\"o\">=<\/span><span class=\"n\">color<\/span><span class=\"p\">,<\/span> <span class=\"n\">edgecolor<\/span><span class=\"o\">=<\/span><span class=\"s1\">'black'<\/span><span class=\"p\">,<\/span> <span class=\"n\">alpha<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.7<\/span><span class=\"p\">)<\/span>\r\n    <span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">set_title<\/span><span class=\"p\">(<\/span><span class=\"n\">title<\/span><span class=\"p\">,<\/span> <span class=\"n\">fontsize<\/span><span class=\"o\">=<\/span><span class=\"mi\">14<\/span><span class=\"p\">,<\/span> <span class=\"n\">fontweight<\/span><span class=\"o\">=<\/span><span class=\"s1\">'bold'<\/span><span class=\"p\">)<\/span>\r\n    <span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">set_xlabel<\/span><span class=\"p\">(<\/span><span class=\"s2\">\"No. of incorrectly predicted bits\"<\/span><span class=\"p\">)<\/span>\r\n    <span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">set_ylabel<\/span><span class=\"p\">(<\/span><span class=\"s2\">\"No. of instances\"<\/span><span class=\"p\">)<\/span>\r\n    <span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">set_xticks<\/span><span class=\"p\">(<\/span><span class=\"nb\">range<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">max_bits<\/span> <span class=\"o\">+<\/span> <span class=\"mi\">1<\/span><span class=\"p\">,<\/span> <span class=\"mi\">2<\/span><span class=\"p\">))<\/span>\r\n    <span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">set_ylim<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"mi\">150<\/span><span class=\"p\">)<\/span>\r\n    <span class=\"n\">ax<\/span><span class=\"o\">.<\/span><span class=\"n\">grid<\/span><span class=\"p\">(<\/span><span class=\"n\">axis<\/span><span class=\"o\">=<\/span><span class=\"s1\">'y'<\/span><span class=\"p\">,<\/span> <span class=\"n\">linestyle<\/span><span class=\"o\">=<\/span><span class=\"s1\">'--'<\/span><span class=\"p\">,<\/span> <span class=\"n\">alpha<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.5<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># CD\u5b66\u7fd2RBM\u306e\u8aa4\u308a\u30d3\u30c3\u30c8\u6570(\u8a13\u7df4\u30c7\u30fc\u30bf)<\/span>\r\n<span class=\"n\">plot_hist<\/span><span class=\"p\">(<\/span><span class=\"n\">axes<\/span><span class=\"p\">[<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"mi\">0<\/span><span class=\"p\">],<\/span> <span class=\"n\">cd_train_errors<\/span><span class=\"p\">,<\/span> <span class=\"s2\">\"D: CD; Training Data\"<\/span><span class=\"p\">,<\/span> <span class=\"s1\">'tab:blue'<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># CD\u5b66\u7fd2RBM\u306e\u8aa4\u308a\u30d3\u30c3\u30c8\u6570(\u30c6\u30b9\u30c8\u30c7\u30fc\u30bf)<\/span>\r\n<span class=\"n\">plot_hist<\/span><span class=\"p\">(<\/span><span class=\"n\">axes<\/span><span class=\"p\">[<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"mi\">1<\/span><span class=\"p\">],<\/span> <span class=\"n\">cd_test_errors<\/span><span class=\"p\">,<\/span> <span class=\"s2\">\"E: CD; Test Data\"<\/span><span class=\"p\">,<\/span> <span class=\"s1\">'tab:blue'<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># SA\u5b66\u7fd2RBM\u306e\u8aa4\u308a\u30d3\u30c3\u30c8\u6570(\u8a13\u7df4\u30c7\u30fc\u30bf)<\/span>\r\n<span class=\"n\">plot_hist<\/span><span class=\"p\">(<\/span><span class=\"n\">axes<\/span><span class=\"p\">[<\/span><span class=\"mi\">1<\/span><span class=\"p\">,<\/span> <span class=\"mi\">0<\/span><span class=\"p\">],<\/span> <span class=\"n\">sa_train_errors<\/span><span class=\"p\">,<\/span> <span class=\"s2\">\"F: SA; Training Data\"<\/span><span class=\"p\">,<\/span> <span class=\"s1\">'tab:orange'<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># SA\u5b66\u7fd2RBM\u306e\u8aa4\u308a\u30d3\u30c3\u30c8\u6570(\u30c6\u30b9\u30c8\u30c7\u30fc\u30bf)<\/span>\r\n<span class=\"n\">plot_hist<\/span><span class=\"p\">(<\/span><span class=\"n\">axes<\/span><span class=\"p\">[<\/span><span class=\"mi\">1<\/span><span class=\"p\">,<\/span> <span class=\"mi\">1<\/span><span class=\"p\">],<\/span> <span class=\"n\">sa_test_errors<\/span><span class=\"p\">,<\/span> <span class=\"s2\">\"G: SA; Test Data\"<\/span><span class=\"p\">,<\/span> <span class=\"s1\">'tab:orange'<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">tight_layout<\/span><span class=\"p\">()<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">show<\/span><span class=\"p\">()<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"output_wrapper\">\n<div class=\"output\">\n<div class=\"output_area\">\n<div class=\"prompt\"><\/div>\n<div class=\"output_subarea output_stream output_stdout output_text\">\n<pre>Calculating reconstruction errors for CD and SA models...\r\n<\/pre>\n<\/div>\n<\/div>\n<div class=\"output_area\">\n<div class=\"prompt\"><\/div>\n<div class=\"output_png output_subarea\"><img decoding=\"async\" alt=\"No description has been provided for this image\" 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\" \/><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<p>CD-1\u5b66\u7fd2\u306eRBM\u306f\u30c7\u30fc\u30bf\u306b\u3088\u3063\u3066\u306f16\u30d3\u30c3\u30c8\u9593\u9055\u3048\u308b\u3053\u3068\u304c\u3042\u308b\u4e00\u65b9\u3067\u3001SA\u5b66\u7fd2\u306eRBM\u306f\u8aa4\u308a\u30924\u30d3\u30c3\u30c8\u307e\u3067\u306b\u6291\u3048\u3089\u308c\u3066\u3044\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<h3><span class=\"ez-toc-section\" id=\"%E5%AE%9F%E9%A8%933_%E5%AF%BE%E6%95%B0%E5%B0%A4%E5%BA%A6%E6%AF%94%E8%BC%83\"><\/span>\u5b9f\u9a133 \u5bfe\u6570\u5c24\u5ea6\u6bd4\u8f03<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<p>\u6700\u5f8c\u306b\u5bfe\u6570\u5c24\u5ea6\u306e\u6bd4\u8f03\u3092\u884c\u3044\u307e\u3059\u3002\u8a08\u7b97\u91cf\u3092\u6e1b\u3089\u3059\u305f\u3081\u3001\u96a0\u308c\u5c64\u306e\u30ce\u30fc\u30c9\u6570\u309220\u306b\u8a2d\u5b9a\u3057\u76f4\u3057\u307e\u3059\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\"highlight hl-python\">\n<pre><span><\/span><span class=\"c1\"># \u30d1\u30e9\u30e1\u30fc\u30bf\u8a2d\u5b9a<\/span>\r\n<span class=\"n\">n_visible<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">64<\/span>\r\n<span class=\"n\">n_hidden<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">20<\/span> <span class=\"c1\"># \u96a0\u308c\u5c64\u306e\u30ce\u30fc\u30c9\u3092\u6e1b\u3089\u3059<\/span>\r\n<span class=\"n\">epochs<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">400<\/span>\r\n<span class=\"n\">batch_size<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">64<\/span>\r\n\r\n<span class=\"c1\"># \u5c24\u5ea6\u8a08\u7b97\u7528\u306e\u5168\u96a0\u308c\u72b6\u614b\u306e\u751f\u6210 (2^20\u901a\u308a)<\/span>\r\n<span class=\"nb\">print<\/span><span class=\"p\">(<\/span><span class=\"sa\">f<\/span><span class=\"s2\">\"Generating <\/span><span class=\"si\">{<\/span><span class=\"mi\">1<\/span><span class=\"w\"> <\/span><span class=\"o\">&lt;&lt;<\/span><span class=\"w\"> <\/span><span class=\"n\">n_hidden<\/span><span class=\"si\">}<\/span><span class=\"s2\"> hidden states...\"<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">indices<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">arange<\/span><span class=\"p\">(<\/span><span class=\"mi\">1<\/span> <span class=\"o\">&lt;&lt;<\/span> <span class=\"n\">n_hidden<\/span><span class=\"p\">,<\/span> <span class=\"n\">dtype<\/span><span class=\"o\">=<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">uint32<\/span><span class=\"p\">)[:,<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">newaxis<\/span><span class=\"p\">]<\/span>\r\n<span class=\"n\">bit_masks<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">1<\/span> <span class=\"o\">&lt;&lt;<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">arange<\/span><span class=\"p\">(<\/span><span class=\"n\">n_hidden<\/span><span class=\"p\">,<\/span> <span class=\"n\">dtype<\/span><span class=\"o\">=<\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">uint32<\/span><span class=\"p\">)[::<\/span><span class=\"o\">-<\/span><span class=\"mi\">1<\/span><span class=\"p\">]<\/span>\r\n<span class=\"n\">all_hidden_states<\/span> <span class=\"o\">=<\/span> <span class=\"p\">(<\/span><span class=\"n\">indices<\/span> <span class=\"o\">&amp;<\/span> <span class=\"n\">bit_masks<\/span> <span class=\"o\">&gt;<\/span> <span class=\"mi\">0<\/span><span class=\"p\">)<\/span><span class=\"o\">.<\/span><span class=\"n\">astype<\/span><span class=\"p\">(<\/span><span class=\"nb\">float<\/span><span class=\"p\">)<\/span>\r\n<span class=\"nb\">print<\/span><span class=\"p\">(<\/span><span class=\"s2\">\"Done.\"<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u6bd4\u8f03\u7528\u306e2\u3064\u306e\u30e2\u30c7\u30eb\u3092\u521d\u671f\u5316<\/span>\r\n<span class=\"n\">rbm_cd2<\/span> <span class=\"o\">=<\/span> <span class=\"n\">IntegratedRBM<\/span><span class=\"p\">(<\/span><span class=\"n\">n_visible<\/span><span class=\"p\">,<\/span> <span class=\"n\">n_hidden<\/span><span class=\"p\">,<\/span> <span class=\"n\">learning_rate<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.10<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">rbm_sa2<\/span> <span class=\"o\">=<\/span> <span class=\"n\">IntegratedRBM<\/span><span class=\"p\">(<\/span><span class=\"n\">n_visible<\/span><span class=\"p\">,<\/span> <span class=\"n\">n_hidden<\/span><span class=\"p\">,<\/span> <span class=\"n\">learning_rate<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.10<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"c1\"># \u5c65\u6b74\u4fdd\u5b58\u7528\u306e\u30ea\u30b9\u30c8\u3092\u8ffd\u52a0<\/span>\r\n<span class=\"n\">ll_history_cd<\/span> <span class=\"o\">=<\/span> <span class=\"p\">[]<\/span>\r\n<span class=\"n\">ll_history_sa<\/span> <span class=\"o\">=<\/span> <span class=\"p\">[]<\/span>\r\n<span class=\"n\">epoch_list<\/span> <span class=\"o\">=<\/span> <span class=\"p\">[]<\/span>\r\n\r\n<span class=\"nb\">print<\/span><span class=\"p\">(<\/span><span class=\"s2\">\"Starting Training Comparison...\"<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"k\">for<\/span> <span class=\"n\">epoch<\/span> <span class=\"ow\">in<\/span> <span class=\"nb\">range<\/span><span class=\"p\">(<\/span><span class=\"mi\">1<\/span><span class=\"p\">,<\/span> <span class=\"n\">epochs<\/span> <span class=\"o\">+<\/span> <span class=\"mi\">1<\/span><span class=\"p\">):<\/span>\r\n    <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">random<\/span><span class=\"o\">.<\/span><span class=\"n\">shuffle<\/span><span class=\"p\">(<\/span><span class=\"n\">train_data<\/span><span class=\"p\">)<\/span>\r\n\r\n    <span class=\"c1\"># \u30d0\u30c3\u30c1\u5b66\u7fd2<\/span>\r\n    <span class=\"k\">for<\/span> <span class=\"n\">i<\/span> <span class=\"ow\">in<\/span> <span class=\"nb\">range<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"nb\">len<\/span><span class=\"p\">(<\/span><span class=\"n\">train_data<\/span><span class=\"p\">),<\/span> <span class=\"n\">batch_size<\/span><span class=\"p\">):<\/span>\r\n        <span class=\"n\">batch<\/span> <span class=\"o\">=<\/span> <span class=\"n\">train_data<\/span><span class=\"p\">[<\/span><span class=\"n\">i<\/span><span class=\"p\">:<\/span><span class=\"n\">i<\/span><span class=\"o\">+<\/span><span class=\"n\">batch_size<\/span><span class=\"p\">]<\/span>\r\n\r\n        <span class=\"c1\"># \u305d\u308c\u305e\u308c\u72ec\u7acb\u3057\u305f\u30e2\u30c7\u30eb\u3068\u3057\u3066\u5b66\u7fd2<\/span>\r\n        <span class=\"n\">rbm_cd2<\/span><span class=\"o\">.<\/span><span class=\"n\">train_step_cd<\/span><span class=\"p\">(<\/span><span class=\"n\">batch<\/span><span class=\"p\">)<\/span>\r\n        <span class=\"n\">rbm_sa2<\/span><span class=\"o\">.<\/span><span class=\"n\">train_step_sa<\/span><span class=\"p\">(<\/span><span class=\"n\">batch<\/span><span class=\"p\">,<\/span> <span class=\"n\">num_reads<\/span><span class=\"o\">=<\/span><span class=\"n\">batch_size<\/span><span class=\"p\">)<\/span>\r\n\r\n    <span class=\"c1\"># 10\u30a8\u30dd\u30c3\u30af\u3054\u3068\u306b\u5c24\u5ea6\u3092\u8a08\u7b97\u3057\u3066\u6bd4\u8f03<\/span>\r\n    <span class=\"k\">if<\/span> <span class=\"n\">epoch<\/span> <span class=\"o\">%<\/span> <span class=\"mi\">10<\/span> <span class=\"o\">==<\/span> <span class=\"mi\">0<\/span> <span class=\"ow\">or<\/span> <span class=\"n\">epoch<\/span> <span class=\"o\">==<\/span> <span class=\"mi\">1<\/span><span class=\"p\">:<\/span>\r\n        <span class=\"c1\"># \u4e21\u30e2\u30c7\u30eb\u306e\u5bfe\u6570\u5c24\u5ea6\u3092\u7b97\u51fa<\/span>\r\n        <span class=\"n\">ll_cd<\/span> <span class=\"o\">=<\/span> <span class=\"n\">rbm_cd2<\/span><span class=\"o\">.<\/span><span class=\"n\">get_log_likelihood<\/span><span class=\"p\">(<\/span><span class=\"n\">train_data<\/span><span class=\"p\">,<\/span> <span class=\"n\">all_hidden_states<\/span><span class=\"p\">)<\/span>\r\n        <span class=\"n\">ll_sa<\/span> <span class=\"o\">=<\/span> <span class=\"n\">rbm_sa2<\/span><span class=\"o\">.<\/span><span class=\"n\">get_log_likelihood<\/span><span class=\"p\">(<\/span><span class=\"n\">train_data<\/span><span class=\"p\">,<\/span> <span class=\"n\">all_hidden_states<\/span><span class=\"p\">)<\/span>\r\n\r\n        <span class=\"c1\"># \u30c7\u30fc\u30bf\u306e\u4fdd\u5b58<\/span>\r\n        <span class=\"n\">epoch_list<\/span><span class=\"o\">.<\/span><span class=\"n\">append<\/span><span class=\"p\">(<\/span><span class=\"n\">epoch<\/span><span class=\"p\">)<\/span>\r\n        <span class=\"n\">ll_history_cd<\/span><span class=\"o\">.<\/span><span class=\"n\">append<\/span><span class=\"p\">(<\/span><span class=\"n\">ll_cd<\/span><span class=\"p\">)<\/span>\r\n        <span class=\"n\">ll_history_sa<\/span><span class=\"o\">.<\/span><span class=\"n\">append<\/span><span class=\"p\">(<\/span><span class=\"n\">ll_sa<\/span><span class=\"p\">)<\/span>\r\n\r\n        <span class=\"nb\">print<\/span><span class=\"p\">(<\/span><span class=\"sa\">f<\/span><span class=\"s2\">\"Epoch <\/span><span class=\"si\">{<\/span><span class=\"n\">epoch<\/span><span class=\"si\">:<\/span><span class=\"s2\">3d<\/span><span class=\"si\">}<\/span><span class=\"s2\">: CD LL=<\/span><span class=\"si\">{<\/span><span class=\"n\">ll_cd<\/span><span class=\"si\">:<\/span><span class=\"s2\">.2f<\/span><span class=\"si\">}<\/span><span class=\"s2\">, SA LL=<\/span><span class=\"si\">{<\/span><span class=\"n\">ll_sa<\/span><span class=\"si\">:<\/span><span class=\"s2\">.2f<\/span><span class=\"si\">}<\/span><span class=\"s2\">\"<\/span><span class=\"p\">)<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"output_wrapper\">\n<div class=\"output\">\n<div class=\"output_area\">\n<div class=\"prompt\"><\/div>\n<div class=\"output_subarea output_stream output_stdout output_text\">\n<pre>Generating 1048576 hidden states...\r\nDone.\r\nStarting Training Comparison...\r\nEpoch   1: CD LL=-44.46, SA LL=-44.46\r\nEpoch  10: CD LL=-44.29, SA LL=-43.84\r\nEpoch  20: CD LL=-43.86, SA LL=-43.75\r\nEpoch  30: CD LL=-43.08, SA LL=-43.61\r\nEpoch  40: CD LL=-40.78, SA LL=-43.41\r\nEpoch  50: CD LL=-38.06, SA LL=-43.15\r\nEpoch  60: CD LL=-35.56, SA LL=-42.87\r\nEpoch  70: CD LL=-33.28, SA LL=-42.65\r\nEpoch  80: CD LL=-31.34, SA LL=-42.23\r\nEpoch  90: CD LL=-29.88, SA LL=-41.25\r\nEpoch 100: CD LL=-28.43, SA LL=-39.59\r\nEpoch 110: CD LL=-27.32, SA LL=-37.56\r\nEpoch 120: CD LL=-26.05, SA LL=-35.62\r\nEpoch 130: CD LL=-25.18, SA LL=-33.88\r\nEpoch 140: CD LL=-24.65, SA LL=-32.13\r\nEpoch 150: CD LL=-24.12, SA LL=-30.50\r\nEpoch 160: CD LL=-23.09, SA LL=-28.87\r\nEpoch 170: CD LL=-22.83, SA LL=-27.31\r\nEpoch 180: CD LL=-22.27, SA LL=-25.93\r\nEpoch 190: CD LL=-22.00, SA LL=-24.63\r\nEpoch 200: CD LL=-21.69, SA LL=-23.33\r\nEpoch 210: CD LL=-21.57, SA LL=-22.15\r\nEpoch 220: CD LL=-21.88, SA LL=-21.04\r\nEpoch 230: CD LL=-21.23, SA LL=-20.12\r\nEpoch 240: CD LL=-21.53, SA LL=-19.23\r\nEpoch 250: CD LL=-21.25, SA LL=-18.52\r\nEpoch 260: CD LL=-20.87, SA LL=-17.85\r\nEpoch 270: CD LL=-21.16, SA LL=-17.30\r\nEpoch 280: CD LL=-20.88, SA LL=-16.87\r\nEpoch 290: CD LL=-21.28, SA LL=-16.51\r\nEpoch 300: CD LL=-20.76, SA LL=-16.32\r\nEpoch 310: CD LL=-20.92, SA LL=-15.78\r\nEpoch 320: CD LL=-21.03, SA LL=-15.74\r\nEpoch 330: CD LL=-20.78, SA LL=-15.52\r\nEpoch 340: CD LL=-21.53, SA LL=-15.46\r\nEpoch 350: CD LL=-21.60, SA LL=-15.13\r\nEpoch 360: CD LL=-21.34, SA LL=-15.36\r\nEpoch 370: CD LL=-21.06, SA LL=-14.94\r\nEpoch 380: CD LL=-21.93, SA LL=-14.94\r\nEpoch 390: CD LL=-22.89, SA LL=-15.29\r\nEpoch 400: CD LL=-24.01, SA LL=-14.98\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<p>\u6c42\u3081\u305f\u30a8\u30dd\u30c3\u30af\u6bce\u306e\u5bfe\u6570\u5c24\u5ea6\u3092\u30b0\u30e9\u30d5\u306b\u63cf\u5199\u3057\u307e\u3059\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\"highlight hl-python\">\n<pre><span><\/span><span class=\"c1\"># 5. \u5bfe\u6570\u5c24\u5ea6\u306e\u63a8\u79fb\u3092\u63cf\u5199<\/span>\r\n\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">figure<\/span><span class=\"p\">(<\/span><span class=\"n\">figsize<\/span><span class=\"o\">=<\/span><span class=\"p\">(<\/span><span class=\"mi\">8<\/span><span class=\"p\">,<\/span> <span class=\"mi\">6<\/span><span class=\"p\">))<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">(<\/span><span class=\"n\">epoch_list<\/span><span class=\"p\">,<\/span> <span class=\"n\">ll_history_cd<\/span><span class=\"p\">,<\/span> <span class=\"s1\">'o-'<\/span><span class=\"p\">,<\/span> <span class=\"n\">color<\/span><span class=\"o\">=<\/span><span class=\"s1\">'black'<\/span><span class=\"p\">,<\/span> <span class=\"n\">label<\/span><span class=\"o\">=<\/span><span class=\"s1\">'CD-1'<\/span><span class=\"p\">,<\/span> <span class=\"n\">markersize<\/span><span class=\"o\">=<\/span><span class=\"mi\">4<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">plot<\/span><span class=\"p\">(<\/span><span class=\"n\">epoch_list<\/span><span class=\"p\">,<\/span> <span class=\"n\">ll_history_sa<\/span><span class=\"p\">,<\/span> <span class=\"s1\">'s-'<\/span><span class=\"p\">,<\/span> <span class=\"n\">color<\/span><span class=\"o\">=<\/span><span class=\"s1\">'red'<\/span><span class=\"p\">,<\/span> <span class=\"n\">label<\/span><span class=\"o\">=<\/span><span class=\"s1\">'SA (OpenJij)'<\/span><span class=\"p\">,<\/span> <span class=\"n\">markersize<\/span><span class=\"o\">=<\/span><span class=\"mi\">4<\/span><span class=\"p\">)<\/span>\r\n\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">xlabel<\/span><span class=\"p\">(<\/span><span class=\"s2\">\"Epoch\"<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">ylabel<\/span><span class=\"p\">(<\/span><span class=\"s2\">\"Log-likelihood\"<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">title<\/span><span class=\"p\">(<\/span><span class=\"sa\">f<\/span><span class=\"s2\">\"Log-likelihood Comparison\"<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">legend<\/span><span class=\"p\">()<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">grid<\/span><span class=\"p\">(<\/span><span class=\"kc\">True<\/span><span class=\"p\">,<\/span> <span class=\"n\">linestyle<\/span><span class=\"o\">=<\/span><span class=\"s1\">'--'<\/span><span class=\"p\">,<\/span> <span class=\"n\">alpha<\/span><span class=\"o\">=<\/span><span class=\"mf\">0.5<\/span><span class=\"p\">)<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">tight_layout<\/span><span class=\"p\">()<\/span>\r\n<span class=\"n\">plt<\/span><span class=\"o\">.<\/span><span class=\"n\">show<\/span><span class=\"p\">()<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"output_wrapper\">\n<div class=\"output\">\n<div class=\"output_area\">\n<div class=\"prompt\"><\/div>\n<div class=\"output_png output_subarea\"><img decoding=\"async\" alt=\"No description has been provided for this image\" 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\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