{"id":328,"date":"2021-09-24T12:28:49","date_gmt":"2021-09-24T04:28:49","guid":{"rendered":"http:\/\/www.shuaiwang.cc\/?p=328"},"modified":"2021-09-24T12:50:20","modified_gmt":"2021-09-24T04:50:20","slug":"%e7%a7%91%e7%a0%94%e8%af%be%e5%a0%82%ef%bc%88%e4%b8%89%ef%bc%89-monte-carlo-%e7%ae%97%e6%b3%95","status":"publish","type":"post","link":"https:\/\/shuaiwang.cc\/?p=328","title":{"rendered":"\u79d1\u7814\u8bfe\u5802\uff08\u4e09\uff09\u2014\u2014Monte Carlo \u7b97\u6cd5"},"content":{"rendered":"\n\n\t\u79d1\u7814\u8bfe\u5802\u7b2c\u4e09\u8282slides<\/a>\n\n\n\n\n

\u968f\u7740\u8ba1\u7b97\u673a\u6280\u672f\u7684\u53d1\u5c55\uff0c\u4e00\u79cd\u53ef\u4ee5\u6a21\u62df\u968f\u673a\u53d8\u91cf\u4e0e\u968f\u673a\u8fc7\u7a0b\u7684\u65b9\u6cd5\u2014\u2014\u8499\u7279\u5361\u6d1b\u7b97\u6cd5\u5e94\u8fd0\u800c\u751f\u3002\u4e0e\u89e3\u6790\u89e3\u6216\u8005\u8fd1\u4f3c\u89e3\u76f8\u6bd4\uff0cMonte Carlo\uff08MC\uff09\u7b97\u6cd5\u65e0\u9700\u590d\u6742\u7684\u6570\u5b66\u63a8\u5bfc\uff0c\u5b9e\u73b0\u8d77\u6765\u4e5f\u8f83\u4e3a\u7b80\u5355\u3002<\/p>\n\n\n\n

\u8499\u7279\u5361\u6d1b\u6cd5\u5176\u5b9e\u662f\u6bd4\u8f83\u5bbd\u6cdb\u7684\u4e00\u7cfb\u5217\u7b97\u6cd5\u7684\u7edf\u79f0\uff0c\u5b83\u7684\u7279\u70b9\u662f\u5047\u8bbe\u6982\u7387\u5206\u5e03\u5df2\u77e5\uff0c\u901a\u8fc7\u91cd\u590d\u7684\u968f\u673a\u91c7\u6837\u6765\u83b7\u5f97\u6570\u503c\u7ed3\u679c\u3002\u6bd4\u5982\u6839\u636e\u5927\u6570\u5b9a\u7406\uff0c\u6211\u4eec\u53ef\u4ee5\u7528\u91c7\u6837\u5f97\u5230\u7684\u6837\u672c\u8ba1\u7b97\u5f97\u5230\u7684\u6837\u672c\u5747\u503c\u6765\u4f30\u8ba1\u603b\u4f53\u671f\u671b\u3002\u53c8\u6bd4\u5982\uff0c\u79ef\u5206\u7684\u8fd0\u7b97\u5f80\u5f80\u53ef\u4ee5\u8868\u793a\u4e3a\u968f\u673a\u53d8\u91cf\u5728\u4e00\u4e2a\u6982\u7387\u5bc6\u5ea6\u51fd\u6570\u5206\u5e03\u4e0a\u7684\u671f\u671b\u3002<\/p>\n\n\n\n

\u9488\u5bf9Ising\u6a21\u578b\uff0c\u5f80\u5f80\u91c7\u7528\u4e3a\u9a6c\u5c14\u53ef\u592b\u94fe\u8499\u7279\u5361\u6d1b\u7b97\u6cd5\uff08MCMC\uff09\u3002\u6b64\u79cd\u65b9\u6cd5\u5177\u4f53\u4e3a\u968f\u673a\u53d8\u91cf x \u7684\u72b6\u6001\u7a7a\u95f4 S \u4e0a\u5b9a\u4e49\u4e00\u4e2a\u6ee1\u8db3\u904d\u5386\u5b9a\u7406\u7684\u9a6c\u5c14\u79d1\u592b\u94fe X = X1, X2, X3… \uff0c\u4f7f\u5176\u5e73\u7a33\u5206\u5e03\u5c31\u662f\u62bd\u6837\u7684\u76ee\u6807\u5206\u5e03 p(x)\u3002\u7136\u540e\u5728\u8fd9\u4e2a\u9a6c\u5c14\u79d1\u592b\u94fe\u4e0a\u8fdb\u884c\u968f\u673a\u6e38\u8d70\uff0c\u6bcf\u4e2a\u65f6\u523b\u5f97\u5230\u4e00\u4e2a\u6837\u672c\u3002\u6839\u636e\u904d\u5386\u5b9a\u7406\uff0c\u5f53\u65f6\u95f4\u8d8b\u5411\u4e8e\u65e0\u7a77\u65f6\uff0c\u6837\u672c\u7684\u5206\u5e03\u8d8b\u8fd1\u4e8e\u5e73\u7a33\u5206\u5e03\uff0c\u6837\u672c\u7684\u51fd\u6570\u5747\u503c\u8d8b\u8fd1\u51fd\u6570\u7684\u6570\u5b66\u671f\u671b\u3002\u5173\u952e\u5c31\u662f\u8bbe\u8ba1\u8fd9\u6837\u4e00\u4e2a\u9a6c\u5c14\u79d1\u592b\u94fe\u3002<\/p>\n\n\n\n

\u5bf9\u4e8eIsing\u6a21\u578b\uff0c\u6211\u4eec\u6bcf\u4e00\u6b21\u968f\u673a\u9009\u53d6\u4e00\u4e2a\u683c\u70b9\uff0c\u8ba1\u7b97\u53d1\u751f\u53cd\u8f6c\u524d\u540e\u7684\u80fd\u91cf\u5dee\uff0c\u5982\u679c\u80fd\u91cf\u964d\u4f4e\uff0c\u5219\u4f7f\u5176\u7ffb\u8f6c\uff0c\u5982\u679c\u80fd\u91cf\u5347\u9ad8\uff0c\u5219\u4f9d\u6982\u7387\uff08\\(P = \\exp^(-\\beta \\Delta E)\\)\uff09\u7ffb\u8f6c\u3002\u6211\u4eec\u53ef\u4ee5\u8bc1\u660e\uff0c\u6309\u7167\u6b64\u6982\u7387\u8fdb\u884c\u6f14\u8fdb\uff0c\u7cfb\u7edf\u8fbe\u5230\u5e73\u8861\u540e\u7684\u72b6\u6001\u6309\u7167\u73bb\u5c14\u5179\u66fc\u51fd\u6570\u4f9d\u80fd\u91cf\u5206\u5e03\uff0c\u6b64\u8fc7\u7a0b\u4e5f\u7b26\u5408\u53ef\u9006\u8fc7\u7a0b\u7684\u65f6\u95f4\u53cd\u6f14\u5bf9\u79f0\uff0c\u5373\u7ec6\u81f4\u5e73\u8861\u539f\u7406\u3002<\/p>\n\n\n\n

\u6211\u4eec\u53ef\u4ee5\u901a\u8fc7\u7b80\u5355\u7684python\u4ee3\u7801\u5b9e\u73b0\u7528MCMC\u7b97\u6cd5\u6a21\u62dfIsing\u6a21\u578b\u4e2d\uff0c\u683c\u70b9\u968f\u6e29\u5ea6\u3001\u5916\u52a0\u78c1\u573a\u7684\u53d8\u5316\u3001\u5e76\u4e14\u505a\u51fa\u76f8\u56fe\u3002<\/p>\n\n\n\n

\u4ee5\u4e0a\u8499\u7279\u5361\u6d1b\u7b97\u6cd5\u662f\u4e00\u79cd\u5bf9\u79bb\u6563\u95ee\u9898\u7684\u6709\u6548\u89e3\u51b3\u65b9\u6848\u3002\u4f46\u662f\u7269\u7406\u4e0a\u8bb8\u591a\u5e38\u89c1\u7684\u76f8\u53d8\u95ee\u9898\uff0c\u9700\u91c7\u7528\u8fde\u7eed\u4ecb\u8d28\u5047\u8bbe\u3002\u5426\u5219\u76f8\u5bf9\u4e8e\u6a21\u62df\uff0c\u95ee\u9898\u672c\u8eab\u7684\u5c3a\u5ea6\u8fc7\u5927\uff0c\u8ba1\u7b97\u91cf\u8fc7\u4e8e\u5e9e\u5927\u3002\u76f8\u573a\u6a21\u578b\uff08\u6216\u8005time-dependent Ginzburg-Landau\u6a21\u578b\uff09\u662f\u89e3\u51b3\u8fde\u7eed\u4ecb\u8d28\u5047\u8bbe\u4e0b\u76f8\u53d8\u95ee\u9898\u7684\u6709\u6548\u9014\u5f84\u3002\u800c\u8be5\u65b9\u7a0b\u7684\u9636\u6570\u8f83\u9ad8\uff0c\u6570\u503c\u5b9e\u73b0\u8d77\u6765\u9700\u8981\u4e00\u5b9a\u7684\u6280\u5de7\u3002\u76ee\u524d\u5e38\u89c1\u7684\u65b9\u6cd5\u662fFFT-FDM\uff0c\u4ee5\u53caFEM\u3002\u8fd9\u5c06\u5728\u4e0b\u4e00\u8bb2\u4e2d\u8fdb\u884c\u7b80\u8981\u4ecb\u7ecd\u3002<\/p>\n\n\n\n

\u6269\u5c55\u9605\u8bfb<\/p>\n\n\n\n

python skilearn\u7684monte-carlo\u5b9e\u73b0\u6c42\u5b9a\u79ef\u5206\u7684\u5e93\uff1a<\/p>\n\n\n\n

<\/a>https:\/\/scikit-monaco.readthedocs.io\/en\/latest\/<\/p>\n\n\n\n

\u4e00\u79cd\u7b80\u5355\u7684\u9a6c\u5c14\u53ef\u592b\u94fe\u2014\u2014\u968f\u673a\u884c\u8d70<\/p>\n\n\n\n

https:\/\/en.wikipedia.org\/wiki\/Random_walk<\/a><\/p>\n\n\n\n

\u8499\u7279\u5361\u7f57\u65b9\u6cd5\u4e0e\u673a\u5668\u5b66\u4e60\u7684\u4e00\u4e2a\u4f8b\u5b50\uff1a<\/p>\n\n\n\n

https:\/\/www.deeplearningbook.org\/contents\/monte_carlo.html<\/a><\/p>\n\n\n\n

<\/p>\n\n\n\n

<\/p>\n\n\n\n

<\/p>\n\n\n\n

<\/p>\n","protected":false},"excerpt":{"rendered":"

\u968f\u7740\u8ba1\u7b97\u673a\u6280\u672f\u7684\u53d1\u5c55\uff0c\u4e00\u79cd\u53ef\u4ee5\u6a21\u62df\u968f\u673a\u53d8\u91cf\u4e0e\u968f\u673a\u8fc7\u7a0b\u7684\u65b9\u6cd5\u2014\u2014\u8499\u7279\u5361\u6d1b\u7b97\u6cd5\u5e94\u8fd0\u800c\u751f\u3002\u4e0e\u89e3\u6790\u89e3\u6216\u8005\u8fd1\u4f3c\u89e3\u76f8\u6bd4\uff0cM … <\/p>\n

\u7ee7\u7eed\u9605\u8bfb\u201c\u79d1\u7814\u8bfe\u5802\uff08\u4e09\uff09\u2014\u2014Monte Carlo \u7b97\u6cd5\u201d<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1,12],"tags":[],"class_list":["post-328","post","type-post","status-publish","format-standard","hentry","category-uncategorized","category-12","entry"],"_links":{"self":[{"href":"https:\/\/shuaiwang.cc\/index.php?rest_route=\/wp\/v2\/posts\/328","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/shuaiwang.cc\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/shuaiwang.cc\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/shuaiwang.cc\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/shuaiwang.cc\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=328"}],"version-history":[{"count":6,"href":"https:\/\/shuaiwang.cc\/index.php?rest_route=\/wp\/v2\/posts\/328\/revisions"}],"predecessor-version":[{"id":337,"href":"https:\/\/shuaiwang.cc\/index.php?rest_route=\/wp\/v2\/posts\/328\/revisions\/337"}],"wp:attachment":[{"href":"https:\/\/shuaiwang.cc\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=328"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/shuaiwang.cc\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=328"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/shuaiwang.cc\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=328"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}