{"id":64516,"date":"2025-09-16T22:46:09","date_gmt":"2025-09-16T14:46:09","guid":{"rendered":"https:\/\/swarma.org\/?p=64516"},"modified":"2025-09-16T22:46:09","modified_gmt":"2025-09-16T14:46:09","slug":"%e9%87%8d%e5%b0%be%e7%a5%9e%e7%bb%8f%e7%bd%91%e7%bb%9c%e7%9a%84%e5%8a%a8%e5%8a%9b%e5%ad%a6%e4%b8%8e%e5%82%a8%e5%a4%87%e6%b1%a0%e8%ae%a1%e7%ae%97%ef%bd%9c%e9%99%8417%e7%af%87%e9%a2%86%e5%9f%9f%e5%bf%85","status":"publish","type":"post","link":"https:\/\/swarma.org\/?p=64516","title":{"rendered":"\u91cd\u5c3e\u795e\u7ecf\u7f51\u7edc\u7684\u52a8\u529b\u5b66\u4e0e\u50a8\u5907\u6c60\u8ba1\u7b97\uff5c\u964417\u7bc7\u9886\u57df\u5fc5\u8bfb\u6587\u732e \u00b7 \u5468\u516d\u76f4\u64ad"},"content":{"rendered":"<div class='wxsyncmain'>\n<section data-mpa-powered-by=\"yiban.io\" data-pm-slice=\"0 0 []\" style=\"margin: 0px 0px 24px;padding: 0px;max-width: 100%;, Arial, sans-serif;font-size: 17px;font-style: normal;font-weight: 400;letter-spacing: 0.544px;text-align: justify;text-indent: 0px;text-transform: none\">\n<section style=\"margin: 0px;padding: 0px;max-width: 100%\">\n<section style=\"margin: 0px;padding: 0px;max-width: 100%\">\n<section style=\"margin: 0px;padding: 0px;max-width: 100%\">\n<section style=\"margin: 0px;padding: 0px;max-width: 100%\">\n<section data-mpa-powered-by=\"yiban.io\" data-pm-slice=\"0 0 []\" style=\"margin: 0px;padding: 0px;max-width: 100%;font-style: normal;font-weight: 400;letter-spacing: 0.544px;text-align: justify;text-indent: 0px;text-transform: none;font-family: PingFangSC-light;font-size: 15px\">\n<section style=\"margin: 0px;padding: 0px;max-width: 100%;width: 661px;vertical-align: top\">\n<section style=\"margin: 0px;padding: 0px;max-width: 100%\">\n<section style=\"margin: 0px;padding: 0px;max-width: 100%;clear: both;min-height: 1em;text-align: center\"><img class=\"rich_pages wxw-img\" data-ratio=\"0.5718954248366013\" data-type=\"jpeg\" data-w=\"612\" style=\"background-color: transparent;width: 100%;height: auto !important\" data-width=\"612\" data-height=\"350\" data-backw=\"578\" data-backh=\"331\" data-imgfileid=\"100236184\" src=\"\/wp-content\/uploads\/2025\/09\/wxsync-2025-09-e29dbc79db207c1ce74bea4543aa2e60.jpeg\" \/><\/section>\n<\/section>\n<section style=\"margin: 10px 0px 0px;padding: 0px;max-width: 100%;letter-spacing: 0.544px\">\n<section style=\"margin: 0px;padding: 0px;max-width: 100%;width: 661px\">\n<section style=\"margin: 0px;padding: 0px 3px 0px 0px;max-width: 100%;float: left;line-height: 1\">\n<section style=\"margin: 0px;padding: 0px;max-width: 100%;text-align: left\">\n<section style=\"margin: 0px;padding: 0px 0px 0px 10px;max-width: 100%;width: auto;vertical-align: top;min-width: 10%;height: auto;line-height: 0\">\n<section style=\"margin: 0px;padding: 0px;max-width: 100%\">\n<section style=\"margin: 0px;padding: 0px;max-width: 100%;width: 25px;height: 10px;vertical-align: top;overflow: hidden;line-height: 0;border-style: solid solid none;border-width: 3px 3px 2px;border-radius: 0px\"><span style=\"margin: 0px;padding: 0px;max-width: 100%\"><br \/><\/span><\/section>\n<\/section>\n<section style=\"margin: 0px;padding: 0px;max-width: 100%\">\n<section style=\"margin: 0px;padding: 0px;max-width: 100%;text-align: justify;font-size: 16px;line-height: 1.5\">\n<p style=\"margin: 0px;padding: 0px;max-width: 100%;clear: both;min-height: 1em\"><strong style=\"margin: 0px;padding: 0px;max-width: 100%\"><span style=\"margin: 0px;padding: 0px;max-width: 100%\">\u5bfc\u8bed<\/span><\/strong><\/p>\n<\/section>\n<\/section>\n<section style=\"margin: 0px;padding: 0px;max-width: 100%\">\n<section style=\"margin: 0px;padding: 0px;max-width: 100%;width: 24px;height: 10px;vertical-align: top;overflow: hidden;line-height: 0;border-style: solid solid none;border-width: 3px 3px 2px;border-radius: 0px\"><span style=\"margin: 0px;padding: 0px;max-width: 100%\"><br \/><\/span><\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<section style=\"margin: 0px;padding: 0px 4px;max-width: 100%;clear: right;min-height: 4.5em !important\">\n<section style=\"margin: 5px 0px;padding: 0px;max-width: 100%\">\n<section style=\"margin: 0px;padding: 0px 8px;max-width: 100%;font-size: 13px;line-height: 2;letter-spacing: 0.544px\">\n<p style=\"margin: 0px;padding: 0px;max-width: 100%;clear: none;min-height: 1em\"><strong style=\"margin: 0px;padding: 0px;max-width: 100%;letter-spacing: 0.544px\"><\/strong><strong style=\"margin: 0px;padding: 0px;max-width: 100%\"><span style=\"margin: 0px;padding: 0px;max-width: 100%;letter-spacing: 0.544px\"><span style=\"margin: 0px;padding: 0px;max-width: 100%\">\u7ee7\u300c\u795e\u7ecf\u52a8\u529b\u5b66\u6a21\u578b\u300d\u4e0e\u300c\u8ba1\u7b97\u795e\u7ecf\u79d1\u5b66\u300d\u8bfb\u4e66\u4f1a\u540e\uff0c\u96c6\u667a\u4ff1\u4e50\u90e8\u8054\u5408\u6765\u81ea\u6570\u5b66\u3001\u7269\u7406\u5b66\u3001\u751f\u7269\u5b66\u3001\u795e\u7ecf\u79d1\u5b66\u548c\u8ba1\u7b97\u673a\u7684\u4e00\u7ebf\u7814\u7a76\u8005\u5171\u540c\u53d1\u8d77<a class=\"normal_text_link\" target=\"_blank\" href=\"https:\/\/mp.weixin.qq.com\/s?__biz=MzIzMjQyNzQ5MA==&amp;mid=2247719202&amp;idx=1&amp;sn=f6a8c5d5428bdd12818f59d2796d464d&amp;scene=21#wechat_redirect\" data-itemshowtype=\"0\" data-linktype=\"2\" rel=\"noopener noreferrer\">\u300c\u4ece\u795e\u7ecf\u52a8\u529b\u5b66\u5230\u610f\u8bc6\uff1a\u8de8\u5c3a\u5ea6\u8ba1\u7b97\u3001\u6f14\u5316\u4e0e\u6d8c\u73b0\u300d\u8bfb\u4e66\u4f1a<\/a>\uff0c\u8de8\u8d8a\u5fae\u89c2\u3001\u4ecb\u89c2\u4e0e\u5b8f\u89c2\u7684\u89c6\u89d2\uff0c\u63a2\u7d22\u610f\u8bc6\u4e0e\u667a\u80fd\u7684\u8de8\u5c3a\u5ea6\u8ba1\u7b97\u3001\u6f14\u5316\u4e0e\u6d8c\u73b0\u3002\u91cd\u70b9\u63a2\u8ba8\u7269\u7406\u89c4\u5f8b\u4e0e\u4eba\u5de5\u667a\u80fd\u5982\u4f55\u5e2e\u52a9\u6211\u4eec\u8ba4\u8bc6\u795e\u7ecf\u52a8\u529b\u5b66\uff0c\u4ee5\u53ca\u795e\u7ecf\u6d3b\u52a8\u8de8\u5c3a\u5ea6\u7684\u8ba1\u7b97\u4e0e\u6f14\u5316\u5982\u4f55\u6784\u5efa\u5fae\u89c2\u4e0e\u5b8f\u89c2\u3001\u7ed3\u6784\u4e0e\u529f\u80fd\u4e4b\u95f4\u7684\u6865\u6881\u3002<\/span><\/span><\/strong><\/p>\n<p style=\"margin: 0px;padding: 0px;max-width: 100%;clear: none;min-height: 1em\"><strong style=\"margin: 0px;padding: 0px;max-width: 100%\"><span style=\"margin: 0px;padding: 0px;max-width: 100%;letter-spacing: 0.544px\"><span style=\"margin: 0px;padding: 0px;max-width: 100%\"><br \/><\/span><\/span><\/strong><\/p>\n<p style=\"margin: 0px;padding: 0px;max-width: 100%;clear: none;min-height: 1em\"><strong style=\"margin: 0px;padding: 0px;max-width: 100%\"><span style=\"margin: 0px;padding: 0px;max-width: 100%;letter-spacing: 0.544px\"><span style=\"margin: 0px;padding: 0px;max-width: 100%\">\u3010\u4ece\u7ecf\u5178\u5230\u524d\u6cbf\u3011\u91cd\u5c3e\u8fde\u63a5\u5982\u4f55\u91cd\u5851\u795e\u7ecf\u7f51\u7edc\u52a8\u529b\u5b66\uff1f\u662f\u5426\u66f4\u63a5\u8fd1\u771f\u5b9e\u5927\u8111\uff1f\u52a0\u5165\u6211\u4eec\u7684\u8bfb\u4e66\u4f1a\uff0c\u5171\u540c\u89e3\u6790\u91cd\u5c3eRNN\u7684\u72ec\u7279\u9b45\u529b\u4e0e\u672a\u89e3\u4e4b\u8c1c\uff01<\/span><\/span><\/strong><\/p>\n<section class=\"channels_iframe_wrp\"><\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<section style=\"margin: 10px 0px 0px;padding: 0px;max-width: 100%\">\n<section style=\"margin: 0px;padding: 0px;max-width: 100%;width: 661px\">\n<section style=\"margin: 0px;padding: 0px;max-width: 100%;clear: both;line-height: 0\">\n<section style=\"margin: 0px;padding: 0px;max-width: 100%;line-height: 0;width: 0px\"><\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<section style=\"margin: 10px 0px;padding: 0px;max-width: 100%;font-style: normal;font-weight: 400;letter-spacing: 0.544px;text-indent: 0px;text-transform: none;font-family: PingFangSC-light;font-size: 15px;text-align: center\">\n<section style=\"margin: 0px;padding: 0px;max-width: 100%;vertical-align: middle;line-height: 0\"><img alt=\"\u56fe\u7247\" class=\"rich_pages wxw-img\" data-ratio=\"0.07314814814814814\" data-type=\"png\" data-w=\"1080\" style=\"margin: 0px;padding: 0px;max-width: 100%;vertical-align: middle;width: 677px !important;height: auto !important\" src=\"\" \/><\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<p style=\"margin-left: 8px;margin-right: 8px;margin-bottom: 0px;line-height: 1.75em\"><span style=\"font-size: 15px\"><br \/><\/span><\/p>\n<section style=\"margin-left: 8px;margin-right: 8px;margin-bottom: 0px;line-height: 1.75em\"><img class=\"rich_pages wxw-img\" data-ratio=\"1.7777777777777777\" data-type=\"png\" data-w=\"1080\" style=\"background-color: transparent;height: auto !important\" data-width=\"1080\" data-height=\"1920\" data-imgfileid=\"100236186\" src=\"\/wp-content\/uploads\/2025\/09\/wxsync-2025-09-c1e13d7a29bfee8119f207d36fa79c59.png\" \/><\/section>\n<h2 style=\"margin-left: 8px;margin-right: 8px;margin-bottom: 0px;line-height: 1.75em\"><span style=\"font-size: 15px\"><br \/><\/span><\/h2>\n<h2 style=\"margin-left: 8px;margin-right: 8px;margin-bottom: 0px;line-height: 1.75em\"><span style=\"font-size: 15px\"><br \/><\/span><\/h2>\n<h3 style=\", Arial, sans-serif;letter-spacing: 0.544px\">\n<section style=\"letter-spacing: 0.544px;text-align: right;font-size: 13px\">\n<section style=\"margin-top: 10px;margin-bottom: 10px;letter-spacing: 0.544px;text-align: center\">\n<section style=\"vertical-align: middle\">\n<section style=\"margin-bottom: -2px;, Arial, sans-serif\">\n<section style=\"float: left;width: 8px;height: 3px;line-height: 0\"><span><br \/><\/span><\/section>\n<section style=\"float: right;width: 8px;height: 3px;line-height: 0\"><span><br \/><\/span><\/section>\n<section style=\"clear: both;line-height: 0\">\n<section style=\"line-height: 0;width: 0px\"><\/section>\n<\/section>\n<\/section>\n<section style=\"padding-right: 10px;padding-left: 10px;font-size: 16px;line-height: 1.4\">\n<p><strong><strong style=\"text-align: left;letter-spacing: 0.544px\"><span style=\", Arial, sans-serif\"><strong style=\"letter-spacing: 0.578px\"><span>\u5206\u4eab\u7b80\u4ecb<\/span><\/strong><\/span><\/strong><\/strong><\/p>\n<\/section>\n<section style=\"margin-top: -2px;, Arial, sans-serif\">\n<section style=\"float: left;width: 8px;height: 3px;line-height: 0\"><span><br \/><\/span><\/section>\n<section style=\"float: right;width: 8px;height: 3px;line-height: 0\"><span><br \/><\/span><\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/h3>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;, Arial, sans-serif;letter-spacing: 0.578px;line-height: 1.75em\"><span><br \/><\/span><\/p>\n<p style=\"margin-left: 8px;margin-right: 8px;margin-bottom: 0px;line-height: 1.75em\"><span style=\"font-size: 15px\"><span><span>\u4f20\u7edf\u7684RNN\u6a21\u578b\u901a\u5e38\u5047\u8bbe\u795e\u7ecf\u5143\u4e4b\u95f4\u5177\u6709\u5f3a\u5ea6\u670d\u4ece\u9ad8\u65af\u5206\u5e03\u7684\u5168\u8fde\u63a5\u6216\u8005\u5177\u6709\u76f8\u540c\u5f3a\u5ea6\u7684\u7a00\u758f\u8fde\u63a5\u3002\u7136\u800c\uff0c\u5b9e\u9a8c\u548c\u7406\u8bba\u8868\u660e\u795e\u7ecf\u5143\u4e4b\u95f4\u7684\u8fde\u63a5\u5f3a\u5ea6\u66f4\u63a5\u8fd1<\/span><\/span><strong><span><span>\u91cd\u5c3e<\/span><\/span><\/strong><span><span>\uff08heavy-tailed\uff09\u5206\u5e03\u3002\u7531\u4e8e\u91cd\u5c3e\u5206\u5e03\u7684\u4e8c\u9636\u77e9\u901a\u5e38\u53d1\u6563\uff0c\u5e38\u89c4\u7684\u5206\u6790\u7406\u8bba\u5982<\/span><\/span><strong><span><span>\u52a8\u529b\u5b66\u5e73\u5747\u573a<\/span><\/span><\/strong><span><span>\uff08dynamic mean-field\uff09\u548c\u6269\u6563\u8fd1\u4f3c\u4e0d\u518d\u9002\u7528\u3002\u6240\u4ee5\uff0c\u91cd\u5c3e\u795e\u7ecf\u7f51\u7edc\u7684\u52a8\u529b\u5b66\u4e0e\u7ecf\u5178\u7684\u9ad8\u65af\u6216\u7a00\u758f\u5747\u5300\u795e\u7ecf\u7f51\u7edc\u5b8c\u5168\u4e0d\u540c\uff0c\u5c06\u7ecf\u5178 RNN \u7406\u8bba\u63a8\u5e7f\u5230\u91cd\u5c3e RNN \u5bf9\u8fde\u63a5\u7406\u8bba\u4e0e\u5b9e\u9a8c\u7ed3\u679c\u5177\u6709\u91cd\u8981\u610f\u4e49\u3002\u5728\u8fd9\u4e00\u90e8\u5206\uff0c\u6211\u4eec\u5c06\u56de\u987e\u5173\u4e8e\u91cd\u5c3e RNN \u52a8\u529b\u5b66\u7684\u6587\u732e\uff0c\u5bf9\u6bd4\u9ad8\u65af\u7f51\u7edc\u548c\u91cd\u5c3e\u7f51\u7edc\u7684\u52a8\u529b\u5b66\uff0c\u5e76\u8ba8\u8bba\u8fd9\u4e9b\u7406\u8bba\u7ed3\u679c\u5728\u795e\u7ecf\u79d1\u5b66\u80cc\u666f\u4e0b\u7684\u610f\u4e49\u548c\u5176\u4ed6\u5f00\u653e\u95ee\u9898\u3002<\/span><\/span><\/span><\/p>\n<p style=\"margin-left: 8px;margin-right: 8px;margin-bottom: 0px;line-height: 1.75em\"><span style=\"font-size: 15px\"><span><br \/><\/span><\/span><\/p>\n<h2 style=\"margin-left: 8px;margin-right: 8px;margin-bottom: 0px;line-height: 1.75em\"><span><br \/><\/span><\/h2>\n<h3 style=\", Arial, sans-serif;letter-spacing: 0.544px\">\n<section style=\"letter-spacing: 0.544px;text-align: right;font-size: 13px\">\n<section style=\"margin-top: 10px;margin-bottom: 10px;letter-spacing: 0.544px;text-align: center\">\n<section style=\"vertical-align: middle\">\n<section style=\"margin-bottom: -2px;, Arial, sans-serif\">\n<section style=\"float: left;width: 8px;height: 3px;line-height: 0\"><span><br \/><\/span><\/section>\n<section style=\"float: right;width: 8px;height: 3px;line-height: 0\"><span><br \/><\/span><\/section>\n<section style=\"clear: both;line-height: 0\">\n<section style=\"line-height: 0;width: 0px\"><\/section>\n<\/section>\n<\/section>\n<section style=\"padding-right: 10px;padding-left: 10px;font-size: 16px;line-height: 1.4\">\n<p><strong><strong style=\"text-align: left;letter-spacing: 0.544px\"><span style=\", Arial, sans-serif\"><strong style=\"letter-spacing: 0.578px\"><span>\u6838\u5fc3\u5173\u6ce8\u95ee\u9898<\/span><\/strong><\/span><\/strong><\/strong><\/p>\n<\/section>\n<section style=\"margin-top: -2px;, Arial, sans-serif\">\n<section style=\"float: left;width: 8px;height: 3px;line-height: 0\"><span><br \/><\/span><\/section>\n<section style=\"float: right;width: 8px;height: 3px;line-height: 0\"><span><br \/><\/span><\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/h3>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;, Arial, sans-serif;letter-spacing: 0.578px;line-height: 1.75em\"><span><br \/><\/span><\/p>\n<ol style=\"margin-left: 8px;margin-right: 8px\" class=\"list-paddingleft-1\" start=\"1\">\n<li>\n<p style=\"margin-bottom: 8px;line-height: 1.75em\"><span style=\"font-size: 15px\"><span>\u91cd\u5c3e\u8fde\u63a5\u5206\u5e03\u5982\u4f55\u5851\u9020\u795e\u7ecf\u7f51\u7edc\u7684\u52a8\u529b\u5b66\u548c\u4fe1\u606f\u5904\u7406\uff1f<\/span><\/span><\/p>\n<\/li>\n<li>\n<p style=\"margin-bottom: 8px;line-height: 1.75em\"><span style=\"font-size: 15px\"><span>\u91cd\u5c3e\u7f51\u7edc\u52a8\u529b\u5b66\u662f\u5426\u4e0e\u771f\u5b9e\u8111\u7f51\u7edc\u7684\u52a8\u529b\u5b66\u66f4\u63a5\u8fd1\uff1f<\/span><\/span><\/p>\n<\/li>\n<li>\n<p style=\"margin-bottom: 0px;line-height: 1.75em\"><span style=\"font-size: 15px\"><span>\u91cd\u5c3e\u795e\u7ecf\u7f51\u7edc\u5728\u673a\u5668\u5b66\u4e60\u9886\u57df\u6709\u4ec0\u4e48\u6f5c\u5728\u7684\u5e94\u7528\uff1f<\/span><\/span><\/p>\n<\/li>\n<\/ol>\n<h2 style=\"margin-left: 8px;margin-right: 8px;margin-bottom: 0px;line-height: 1.75em\"><span style=\"font-size: 15px\"><br \/><\/span><\/h2>\n<h2 style=\"margin-left: 8px;margin-right: 8px;margin-bottom: 0px;line-height: 1.75em\"><span style=\"font-size: 15px\"><br \/><\/span><\/h2>\n<h3 style=\", Arial, sans-serif;letter-spacing: 0.544px\">\n<section style=\"letter-spacing: 0.544px;text-align: right;font-size: 13px\">\n<section style=\"margin-top: 10px;margin-bottom: 10px;letter-spacing: 0.544px;text-align: center\">\n<section style=\"vertical-align: middle\">\n<section style=\"margin-bottom: -2px;, Arial, sans-serif\">\n<section style=\"float: left;width: 8px;height: 3px;line-height: 0\"><span><br \/><\/span><\/section>\n<section style=\"float: right;width: 8px;height: 3px;line-height: 0\"><span><br \/><\/span><\/section>\n<section style=\"clear: both;line-height: 0\">\n<section style=\"line-height: 0;width: 0px\"><\/section>\n<\/section>\n<\/section>\n<section style=\"padding-right: 10px;padding-left: 10px;font-size: 16px;line-height: 1.4\">\n<p><strong><strong style=\"text-align: left;letter-spacing: 0.544px\"><span style=\", Arial, sans-serif\"><strong style=\"letter-spacing: 0.578px\"><span>\u5206\u4eab\u5927\u7eb2<\/span><\/strong><\/span><\/strong><\/strong><\/p>\n<\/section>\n<section style=\"margin-top: -2px;, Arial, sans-serif\">\n<section style=\"float: left;width: 8px;height: 3px;line-height: 0\"><span><br \/><\/span><\/section>\n<section style=\"float: right;width: 8px;height: 3px;line-height: 0\"><span><br \/><\/span><\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/h3>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;, Arial, sans-serif;letter-spacing: 0.578px;line-height: 1.75em\"><span>&nbsp;<\/span><\/p>\n<ol style=\"margin-left: 8px;margin-right: 8px\" class=\"list-paddingleft-1\" start=\"1\">\n<li>\n<p style=\"margin-bottom: 8px;line-height: 1.75em\"><span style=\"font-size: 15px\"><span>\u9ad8\u65af\u968f\u673a\u795e\u7ecf\u7f51\u7edc<\/span><\/span><\/p>\n<\/li>\n<ul style=\"list-style-type: circle\" class=\"list-paddingleft-1\">\n<li>\n<p style=\"margin-bottom: 8px;line-height: 1.75em\"><span style=\"font-size: 15px\"><strong><span><span>\u52a8\u529b\u5b66\u5e73\u5747\u573a\u7406\u8bba<\/span><\/span><\/strong><span><span>&nbsp;(Dynamic mean-field theory)<\/span><\/span><\/span><\/p>\n<\/li>\n<li>\n<p style=\"margin-bottom: 8px;line-height: 1.75em\"><span style=\"font-size: 15px\"><span>Lyapunov \u8c31<\/span><\/span><\/p>\n<\/li>\n<li>\n<p style=\"margin-bottom: 8px;line-height: 1.75em\"><span style=\"font-size: 15px\"><span>\u6df7\u6c8c\u52a8\u529b\u5b66\u7684\u5176\u4ed6\u5b9a\u91cf\u63cf\u8ff0<\/span><\/span><\/p>\n<\/li>\n<li>\n<p style=\"margin-bottom: 8px;line-height: 1.75em\"><span style=\"font-size: 15px\"><span>\u904d\u5386\u6027\u548c\u73bb\u7483\u76f8<\/span><\/span><\/p>\n<\/li>\n<\/ul>\n<li>\n<p style=\"margin-bottom: 8px;line-height: 1.75em\"><span style=\"font-size: 15px\"><span>\u5747\u5300\u8109\u51b2\u795e\u7ecf\u7f51\u7edc<\/span><\/span><\/p>\n<\/li>\n<ul style=\"list-style-type: circle\" class=\"list-paddingleft-1\">\n<li>\n<p style=\"margin-bottom: 8px;line-height: 1.75em\"><span style=\"font-size: 15px\"><span><span>\u6269\u6563\u8fd1\u4f3c\u548c<\/span><\/span><strong><span><span>\u7fa4\u4f53\u5bc6\u5ea6\u65b9\u6cd5<\/span><\/span><\/strong><span><span>\uff08population density method\uff09<\/span><\/span><\/span><\/p>\n<\/li>\n<li>\n<p style=\"margin-bottom: 8px;line-height: 1.75em\"><span style=\"font-size: 15px\"><span>\u5747\u5300 LIF \u7f51\u7edc\u7684\u76f8\u56fe<\/span><\/span><\/p>\n<\/li>\n<li>\n<p style=\"margin-bottom: 8px;line-height: 1.75em\"><span style=\"font-size: 15px\"><strong><span><span>\u975e\u540c\u6b65\u76f8<\/span><\/span><\/strong><span><span>\uff08asynchronous irregular state\uff09\u4e0e\u52a8\u6001\u5e73\u8861<\/span><\/span><\/span><\/p>\n<\/li>\n<\/ul>\n<li>\n<p style=\"margin-bottom: 8px;line-height: 1.75em\"><span style=\"font-size: 15px\"><span>\u91cd\u5c3e\u795e\u7ecf\u7f51\u7edc<\/span><\/span><\/p>\n<\/li>\n<ul style=\"list-style-type: circle\" class=\"list-paddingleft-1\">\n<li>\n<p style=\"margin-bottom: 8px;line-height: 1.75em\"><span style=\"font-size: 15px\"><span>\u91cd\u5c3e\u4e8c\u503c\u795e\u7ecf\u7f51\u7edc<\/span><\/span><\/p>\n<\/li>\n<li>\n<p style=\"margin-bottom: 8px;line-height: 1.75em\"><span style=\"font-size: 15px\"><span>\u91cd\u5c3e\u8109\u51b2\u795e\u7ecf\u7f51\u7edc<\/span><\/span><\/p>\n<\/li>\n<li>\n<p style=\"margin-bottom: 8px;line-height: 1.75em\"><span style=\"font-size: 15px\"><span>\u91cd\u5c3e\u9891\u7387\u795e\u7ecf\u7f51\u7edc<\/span><\/span><\/p>\n<\/li>\n<\/ul>\n<li>\n<p style=\"margin-bottom: 8px;line-height: 1.75em\"><span style=\"font-size: 15px\"><strong><span><span>\u50a8\u5907\u6c60\u8ba1\u7b97<\/span><\/span><\/strong><span><span>\uff08reservoir computing\uff09<\/span><\/span><\/span><\/p>\n<\/li>\n<ul style=\"list-style-type: circle\" class=\"list-paddingleft-1\">\n<li>\n<p style=\"margin-bottom: 8px;line-height: 1.75em\"><span style=\"font-size: 15px\"><strong><span><span>\u56de\u58f0\u72b6\u6001\u7f51\u7edc<\/span><\/span><\/strong><span><span>\uff08echo state network\uff09<\/span><\/span><\/span><\/p>\n<\/li>\n<li>\n<p style=\"margin-bottom: 8px;line-height: 1.75em\"><span style=\"font-size: 15px\"><span>\u6df7\u6c8c\u8fb9\u7f18<\/span><\/span><\/p>\n<\/li>\n<li>\n<p style=\"margin-bottom: 0px;line-height: 1.75em\"><span style=\"font-size: 15px\"><span>\u904d\u5386\u6027\u4e0e\u8bb0\u5fc6<\/span><\/span><\/p>\n<\/li>\n<\/ul>\n<\/ol>\n<h2 style=\"margin-left: 8px;margin-right: 8px;margin-bottom: 0px;line-height: 1.75em\"><span style=\"font-size: 15px\"><br \/><\/span><\/h2>\n<h2 style=\"margin-left: 8px;margin-right: 8px;margin-bottom: 0px;line-height: 1.75em\"><span style=\"font-size: 15px\"><br \/><\/span><\/h2>\n<h3 style=\", Arial, sans-serif;letter-spacing: 0.544px\">\n<section style=\"letter-spacing: 0.544px;text-align: right;font-size: 13px\">\n<section style=\"margin-top: 10px;margin-bottom: 10px;letter-spacing: 0.544px;text-align: center\">\n<section style=\"vertical-align: middle\">\n<section style=\"margin-bottom: -2px;, Arial, sans-serif\">\n<section style=\"float: left;width: 8px;height: 3px;line-height: 0\"><span><br \/><\/span><\/section>\n<section style=\"float: right;width: 8px;height: 3px;line-height: 0\"><span><br \/><\/span><\/section>\n<section style=\"clear: both;line-height: 0\">\n<section style=\"line-height: 0;width: 0px\"><\/section>\n<\/section>\n<\/section>\n<section style=\"padding-right: 10px;padding-left: 10px;font-size: 16px;line-height: 1.4\">\n<p><strong><strong style=\"text-align: left;letter-spacing: 0.544px\"><span style=\", Arial, sans-serif\"><strong style=\"letter-spacing: 0.578px\"><span>\u4e3b\u8bb2\u4eba\u4ecb\u7ecd<\/span><\/strong><\/span><\/strong><\/strong><\/p>\n<\/section>\n<section style=\"margin-top: -2px;, Arial, sans-serif\">\n<section style=\"float: left;width: 8px;height: 3px;line-height: 0\"><span><br \/><\/span><\/section>\n<section style=\"float: right;width: 8px;height: 3px;line-height: 0\"><span><br \/><\/span><\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/h3>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;, Arial, sans-serif;letter-spacing: 0.578px;line-height: 1.75em\"><span><br \/><\/span><\/p>\n<section style=\"margin-left: 8px;margin-right: 8px;margin-bottom: 0px;line-height: 1.75em\"><img class=\"rich_pages wxw-img\" data-ratio=\"0.562962962962963\" data-type=\"png\" data-w=\"1080\" style=\"background-color: transparent;width: 100%;height: auto !important\" data-width=\"1920\" data-height=\"1080\" data-backw=\"562\" data-backh=\"316\" data-imgfileid=\"100236185\" src=\"\/wp-content\/uploads\/2025\/09\/wxsync-2025-09-6f241dcd0bf33e0d784efc6c2c549d05.png\" \/><\/section>\n<p style=\"margin-left: 8px;margin-right: 8px;margin-bottom: 0px;line-height: 1.75em\"><span style=\"font-size: 15px\"><span>\u6768\u9a8f\uff0c\u4f50\u6cbb\u4e9a\u7406\u5de5\u5b66\u9662\uff08Georgia Tech\uff09\u5b9a\u91cf\u751f\u7269\u5b66\u5728\u8bfb\u535a\u58eb\uff0c\u672c\u79d1\u6bd5\u4e1a\u4e8e\u6e05\u534e\u5927\u5b66\uff0c\u83b7\u5f97\u4e86\u6570\u7406\u57fa\u7840\u79d1\u5b66 + \u7535\u6c14\u5de5\u7a0b\u53cc\u5b66\u58eb\u5b66\u4f4d\u3002\u672c\u79d1\u65f6\u66fe\u5e08\u4ece Sukbin Lim \u548c Mayank Mehta \u7814\u7a76\u795e\u7ecf\u79d1\u5b66\u3002\u5728Audrey Sederberg\u7684\u5b9e\u9a8c\u5ba4\u5b8c\u6210\u77ed\u6682\u8f6e\u8f6c\u540e\uff0c\u73b0\u5728\u6b63\u5728 Hannah Choi \u7684\u5b9e\u9a8c\u5ba4\u63a2\u7d22\u7f51\u7edc\u6a21\u4f53\uff08motif\uff09\u5bf9\u52a8\u529b\u5b66\u7684\u5f71\u54cd\u3002\u7814\u7a76\u5174\u8da3\uff1a\u795e\u7ecf\u7f16\u7801\u7406\u8bba\u4e0e\u795e\u7ecf\u52a8\u529b\u5b66\u3002<\/span><\/span><\/p>\n<h2 style=\"margin-left: 8px;margin-right: 8px;margin-bottom: 0px;line-height: 1.75em\"><span style=\"font-size: 15px\"><br \/><\/span><\/h2>\n<h2 style=\"margin-left: 8px;margin-right: 8px;margin-bottom: 0px;line-height: 1.75em\"><span style=\"font-size: 15px\"><br \/><\/span><\/h2>\n<h3 style=\", Arial, sans-serif;letter-spacing: 0.544px\">\n<section style=\"letter-spacing: 0.544px;text-align: right;font-size: 13px\">\n<section style=\"margin-top: 10px;margin-bottom: 10px;letter-spacing: 0.544px;text-align: center\">\n<section style=\"vertical-align: middle\">\n<section style=\"margin-bottom: -2px;, Arial, sans-serif\">\n<section style=\"float: left;width: 8px;height: 3px;line-height: 0\"><span><br \/><\/span><\/section>\n<section style=\"float: right;width: 8px;height: 3px;line-height: 0\"><span><br \/><\/span><\/section>\n<section style=\"clear: both;line-height: 0\">\n<section style=\"line-height: 0;width: 0px\"><\/section>\n<\/section>\n<\/section>\n<section style=\"padding-right: 10px;padding-left: 10px;font-size: 16px;line-height: 1.4\">\n<p><strong><strong style=\"text-align: left;letter-spacing: 0.544px\"><span style=\", Arial, sans-serif\"><strong style=\"letter-spacing: 0.578px\"><span>\u53c2\u4e0e\u65b9\u5f0f<\/span><\/strong><\/span><\/strong><\/strong><\/p>\n<\/section>\n<section style=\"margin-top: -2px;, Arial, sans-serif\">\n<section style=\"float: left;width: 8px;height: 3px;line-height: 0\"><span><br \/><\/span><\/section>\n<section style=\"float: right;width: 8px;height: 3px;line-height: 0\"><span><br \/><\/span><\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/h3>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;, Arial, sans-serif;letter-spacing: 0.578px;line-height: 1.75em\"><span><br \/><\/span><\/p>\n<p style=\"margin-left: 8px;margin-right: 8px;margin-bottom: 0px;line-height: 1.75em\"><strong style=\"font-size: 15px\"><span><span>\u53c2\u4e0e\u65f6\u95f4<\/span><\/span><\/strong><\/p>\n<p style=\"margin-left: 8px;margin-right: 8px;margin-bottom: 0px;line-height: 1.75em\"><span style=\"font-size: 15px\"><span>2025\u5e749\u670820\u65e5\uff08\u5468\u516d\uff09\u665a\u4e0a19:00-21:00\uff08\u56fa\u5b9a\u65f6\u95f4\uff0c\u8bb0\u5f97\u5173\u6ce8\u83b7\u53d6\u6bcf\u5468\u5206\u4eab\u4fe1\u606f\uff5e\uff09<\/span><\/span><\/p>\n<section class=\"channels_iframe_wrp\"><\/section>\n<p style=\"margin-left: 8px;margin-right: 8px;margin-bottom: 0px;line-height: 1.75em\"><span style=\"font-size: 15px\"><span style=\"font-weight: bold\">\u62a5\u540d\u52a0\u5165\u793e\u7fa4\u4ea4\u6d41<\/span><\/span><\/p>\n<section style=\"margin-left: 8px;margin-right: 8px;margin-bottom: 0px;line-height: 1.75em;text-align: center\"><img class=\"rich_pages wxw-img\" data-ratio=\"1\" data-type=\"png\" data-w=\"400\" style=\"background-color: transparent;width: 192px;height: auto !important\" data-width=\"400\" data-height=\"400\" data-imgfileid=\"100236183\" src=\"\/wp-content\/uploads\/2025\/09\/wxsync-2025-09-8297b28e6110b2555d80c5dc0d98f0d4.png\" \/><\/section>\n<p style=\"margin-left: 8px;margin-right: 8px;margin-bottom: 0px;line-height: 1.75em;text-align: center\"><span style=\"font-size: 13px\" data-mpa-action-id=\"mfm30sohkbv\" data-pm-slice=\"0 0 []\"><span>https:\/\/pattern.swarma.org\/study_group_issue\/973?from=wechat<\/span><\/span><\/p>\n<p style=\"margin-left: 8px;margin-right: 8px;margin-bottom: 0px;line-height: 1.75em\"><span style=\"font-size: 15px\"><br \/><\/span><\/p>\n<p style=\"margin-left: 8px;margin-right: 8px;margin-bottom: 0px;line-height: 1.75em\"><span style=\"font-size: 15px\"><span>\u626b\u7801\u53c2\u4e0e<\/span><a class=\"normal_text_link\" target=\"_blank\" href=\"https:\/\/mp.weixin.qq.com\/s?__biz=MzIzMjQyNzQ5MA==&amp;mid=2247719202&amp;idx=1&amp;sn=f6a8c5d5428bdd12818f59d2796d464d&amp;scene=21#wechat_redirect\" data-itemshowtype=\"0\" data-linktype=\"2\" rel=\"noopener noreferrer\"><span>\u300c\u4ece\u795e\u7ecf\u52a8\u529b\u5b66\u5230\u610f\u8bc6\uff1a\u8de8\u5c3a\u5ea6\u8ba1\u7b97\u3001\u6f14\u5316\u4e0e\u6d8c\u73b0\u300d\u8bfb\u4e66\u4f1a<\/span><\/a><span>\uff0c\u52a0\u5165\u793e\u7fa4\uff0c\u83b7\u53d6\u7cfb\u5217\u8bfb\u4e66\u4f1a\u6c38\u4e45\u56de\u770b\u6743\u9650\uff0c\u4e0e\u793e\u533a\u7684\u4e00\u7ebf\u79d1\u7814\u5de5\u4f5c\u8005\u6c9f\u901a\u4ea4\u6d41\uff0c\u5171\u540c\u6eaf\u6e90\u590d\u6742\u79d1\u5b66\u7684\u601d\u60f3\u8109\u7edc\u3002<\/span><\/span><\/p>\n<p style=\"margin-left: 8px;margin-right: 8px;margin-bottom: 0px;line-height: 1.75em\"><span style=\"font-size: 15px\"><br \/><\/span><\/p>\n<p style=\"margin-left: 8px;margin-right: 8px;margin-bottom: 0px;line-height: 1.75em\"><span style=\"font-size: 15px\"><br \/><\/span><\/p>\n<h3 style=\", Arial, sans-serif;letter-spacing: 0.544px\">\n<section style=\"letter-spacing: 0.544px;text-align: right;font-size: 13px\">\n<section style=\"margin-top: 10px;margin-bottom: 10px;letter-spacing: 0.544px;text-align: center\">\n<section style=\"vertical-align: middle\">\n<section style=\"margin-bottom: -2px;, Arial, sans-serif\">\n<section style=\"float: left;width: 8px;height: 3px;line-height: 0\"><span><br \/><\/span><\/section>\n<section style=\"float: right;width: 8px;height: 3px;line-height: 0\"><span><br \/><\/span><\/section>\n<section style=\"clear: both;line-height: 0\">\n<section style=\"line-height: 0;width: 0px\"><\/section>\n<\/section>\n<\/section>\n<section style=\"padding-right: 10px;padding-left: 10px;font-size: 16px;line-height: 1.4\">\n<p><strong><strong style=\"text-align: left;letter-spacing: 0.544px\"><span style=\", Arial, sans-serif\"><strong style=\"letter-spacing: 0.578px\"><span>\u9886\u57df\u5fc5\u8bfb\u6587\u732e17\u7bc7<\/span><\/strong><\/span><\/strong><\/strong><\/p>\n<\/section>\n<section style=\"margin-top: -2px;, Arial, sans-serif\">\n<section style=\"float: left;width: 8px;height: 3px;line-height: 0\"><span><br \/><\/span><\/section>\n<section style=\"float: right;width: 8px;height: 3px;line-height: 0\"><span><br \/><\/span><\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/h3>\n<h2 style=\"margin-left: 8px;margin-right: 8px;margin-bottom: 0px;line-height: 1.75em\"><span style=\"font-size: 15px\"><br \/><\/span><\/h2>\n<p style=\"margin-left: 8px;margin-right: 8px;margin-bottom: 8px;line-height: 1.75em\"><strong style=\"font-size: 15px\"><span style=\"font-size: 14px\"><span>\u6838\u5fc3\u89e3\u8bfb\uff1a<\/span><\/span><\/strong><\/p>\n<p style=\"margin-left: 8px;margin-right: 8px;margin-bottom: 8px;line-height: 1.75em\"><span style=\"font-size: 14px\"><span>\u8fd9\u662f\u7b2c\u4e00\u7bc7\u8ba8\u8bba\u91cd\u5c3e\u795e\u7ecf\u7f51\u7edc\u6027\u8d28\u7684\u6587\u732e\u3002\u8fd9\u7bc7\u6587\u7ae0\u53d1\u73b0 Cauchy \u8fde\u63a5 RNN \u6709\u7c7b\u4f3c\u795e\u7ecf\u5143\u96ea\u5d29\u7684\u4e34\u754c\u884c\u4e3a\u3002<\/span><\/span><\/p>\n<ol style=\"margin-left: 8px;margin-right: 8px\" class=\"list-paddingleft-1\" start=\"1\">\n<li>\n<p style=\"margin-bottom: 8px;line-height: 1.75em;text-align: left\"><span style=\"font-size: 14px\"><span>Ku\u015bmierz, \u0141., S. Ogawa and T. Toyoizumi (2020). &quot;Edge of Chaos and Avalanches in Neural Networks with Heavy-Tailed Synaptic Weight Distribution.&quot;&nbsp;<\/span><\/span><span style=\"font-size: 14px\"><span style=\"text-decoration: none\">Physical Review Letters<\/span><\/span><span style=\"font-size: 14px\"><strong><span><span>125<\/span><\/span><\/strong><span><span>(2): 028101.<\/span><\/span><\/span><\/p>\n<\/li>\n<\/ol>\n<p style=\"margin-left: 8px;margin-right: 8px;margin-bottom: 8px;line-height: 1.75em\"><span style=\"font-size: 14px\"><span>\u7b2c\u4e00\u7bc7\u8ba8\u8bba\u91cd\u5c3e SNN \u7684\u6587\u732e\u3002\u5c06\u7ecf\u5178\u795e\u7ecf\u7f51\u7edc\u7684 population density method \u4e2d\u7684\u6269\u6563\u8fd1\u4f3c\u63a8\u5e7f\u5230\u91cd\u5c3e\u795e\u7ecf\u7f51\u7edc\u7684\u5206\u6570\u9636\u6269\u6563\u8fd1\u4f3c\u3002<\/span><\/span><\/p>\n<ol style=\"margin-left: 8px;margin-right: 8px\" class=\"list-paddingleft-1\" start=\"2\">\n<li>\n<p style=\"margin-bottom: 8px;line-height: 1.75em;text-align: left\"><span style=\"font-size: 14px\"><span>Wardak, A. and P. Gong (2021). &quot;Fractional diffusion theory of balanced heterogeneous neural networks.&quot;&nbsp;<\/span><\/span><span style=\"font-size: 14px\"><span style=\"text-decoration: none\">Physical Review Research<\/span><\/span><span style=\"font-size: 14px\"><strong><span><span>3<\/span><\/span><\/strong><span><span>(1): 013083.<\/span><\/span><\/span><\/p>\n<\/li>\n<\/ol>\n<p style=\"margin-left: 8px;margin-right: 8px;margin-bottom: 8px;line-height: 1.75em\"><span style=\"font-size: 14px\"><span>\u7814\u7a76\u4e86\u4e00\u4e2a\u7eaf\u6291\u5236\u6027\u7684 lognormal \u7f51\u7edc\uff0c\u5e76\u8003\u8651\u4e86\u8fde\u63a5\u7684\u5bf9\u79f0\u6027\u5982\u4f55\u7834\u574f\u904d\u5386\u6027\uff08lognormal \u7684\u4e8c\u9636\u77e9\u6709\u9650\uff09\u3002<\/span><\/span><\/p>\n<ol style=\"margin-left: 8px;margin-right: 8px\" class=\"list-paddingleft-1\" start=\"3\">\n<li>\n<p style=\"margin-bottom: 8px;line-height: 1.75em;text-align: left\"><span style=\"font-size: 14px\"><span>Berlemont, K. and G. Mongillo (2022). &quot;Glassy phase in dynamically-balanced neuronal networks.&quot;&nbsp;<\/span><\/span><span style=\"font-size: 14px\"><span style=\"text-decoration: none\">bioRxiv<\/span><\/span><span style=\"font-size: 14px\"><span>: 2022.2003.2014.484348.<\/span><\/span><\/p>\n<\/li>\n<\/ol>\n<p style=\"margin-left: 8px;margin-right: 8px;margin-bottom: 8px;line-height: 1.75em\"><span style=\"font-size: 14px\"><span>\u552f\u4e00\u4e00\u7bc7\u8ba8\u8bba\u8fde\u7eed\u65f6\u95f4\u91cd\u5c3e\u795e\u7ecf\u7f51\u7edc\u52a8\u529b\u5b66\u7684\u6587\u7ae0\u3002\u7ed9\u51fa\u4e86\u91cd\u5c3e\u968f\u673a\u77e9\u9635\u7684\u8c31\u5bc6\u5ea6\u548c L\u00e9vy \u5e73\u5747\u573a\u7406\u8bba\uff0c\u53d1\u73b0\u4e86\u91cd\u5c3e\u795e\u7ecf\u7f51\u7edc\u52a8\u529b\u5b66\u7684\u591a\u91cd\u5206\u5f62\u7ed3\u6784\uff0c\u5e76\u8ba8\u8bba\u4e86\u5c40\u57df\u5316\u5bf9\u4e8e\u50a8\u5907\u6c60\u8ba1\u7b97\uff08reservoir computing\uff09\u7684\u610f\u4e49\u3002<\/span><\/span><\/p>\n<ol style=\"margin-left: 8px;margin-right: 8px\" class=\"list-paddingleft-1\" start=\"4\">\n<li>\n<p style=\"margin-bottom: 8px;line-height: 1.75em;text-align: left\"><span style=\"font-size: 14px\"><span>lWardak, A. and P. Gong (2022). &quot;Extended Anderson Criticality in Heavy-Tailed Neural Networks.&quot;&nbsp;<\/span><\/span><span style=\"font-size: 14px\"><span style=\"text-decoration: none\">Physical Review Letters<\/span><\/span><span style=\"font-size: 14px\"><strong><span><span>129<\/span><\/span><\/strong><span><span>(4): 048103.<\/span><\/span><\/span><\/p>\n<\/li>\n<\/ol>\n<p style=\"margin-left: 8px;margin-right: 8px;margin-bottom: 8px;line-height: 1.75em\"><span style=\"font-size: 14px\"><span>\u63a8\u5e7f\u5230\u6709\u9650\u5927\u7684 L\u00e9vy \u03b1-stable \u79bb\u6563\u65f6\u95f4 RNN\uff0c\u8be6\u7ec6\u8ba8\u8bba\u4e86\u52a8\u529b\u5b66\u7684\u7ef4\u6570\u95ee\u9898\u3002<\/span><\/span><\/p>\n<ol style=\"margin-left: 8px;margin-right: 8px\" class=\"list-paddingleft-1\" start=\"5\">\n<li>\n<p style=\"margin-bottom: 8px;line-height: 1.75em;text-align: left\"><span style=\"font-size: 14px\"><span>Xie, Y., S. Mihalas and \u0141. Ku\u015bmierz (2025). &quot;Slow Transition to Low-Dimensional Chaos in Heavy-Tailed Recurrent Neural Networks.&quot;&nbsp;<\/span><\/span><span style=\"font-size: 14px\"><span style=\"text-decoration: none\">arXiv<\/span><\/span><span style=\"font-size: 14px\"><span>. \u5c06 Ku\u015bmierz et al. (2020)<\/span><\/span><\/p>\n<\/li>\n<\/ol>\n<p style=\"margin-left: 8px;margin-right: 8px;margin-bottom: 8px;line-height: 1.75em\"><strong style=\"font-size: 15px\"><span><br \/><\/span><\/strong><\/p>\n<p style=\"margin-left: 8px;margin-right: 8px;margin-bottom: 8px;line-height: 1.75em\"><strong style=\"font-size: 14px\"><span><span>\u63a8\u8350\u9605\u8bfb\uff1a<\/span><\/span><\/strong><\/p>\n<p style=\"margin-left: 8px;margin-right: 8px;margin-bottom: 8px;line-height: 1.75em\"><span style=\"font-size: 14px\"><span>\u8fd9\u7bc7\u6587\u7ae0\u4f7f\u7528\u4e86\u5305\u542b\u4e00\u79cd\u5174\u594b\u6027\u795e\u7ecf\u5143\u548c PV, SST, VIP \u4e09\u79cd\u6291\u5236\u6027\u795e\u7ecf\u5143\u7684\u7a00\u758f lognormal SNN\uff0c\u4f46\u6ca1\u6709\u5bf9\u8be5\u7f51\u7edc\u7684\u8be6\u7ec6\u52a8\u529b\u5b66\u5206\u6790\u3002<\/span><\/span><\/p>\n<ol style=\"margin-left: 8px;margin-right: 8px\" class=\"list-paddingleft-1\" start=\"1\">\n<li>\n<p style=\"margin-bottom: 8px;line-height: 1.75em;text-align: left\"><span style=\"font-size: 14px\"><span><span>Guo, L. and A. Kumar (2023). &quot;Role of interneuron subtypes in controlling trial-by-trial output variability in the neocortex.&quot; Communications Biology&nbsp;<\/span><\/span><strong><span><span>6<\/span><\/span><\/strong><span><span>(1): 874.<\/span><\/span><\/span><\/p>\n<\/li>\n<\/ol>\n<p style=\"margin-left: 8px;margin-right: 8px;margin-bottom: 8px;line-height: 1.75em\"><span style=\"font-size: 14px\"><span>\u53d1\u73b0\u5728\u5177\u6709\u968f\u8ddd\u79bb lognormal \u5206\u5e03\u7684\u8fde\u63a5\u5f3a\u5ea6\u7684 SNN \u4e2d\u5b58\u5728\u4e00\u79cd\u6b21\u5e8f\u4f20\u64ad\u3002<\/span><\/span><\/p>\n<ol style=\"margin-left: 8px;margin-right: 8px\" class=\"list-paddingleft-1\" start=\"2\">\n<li>\n<p style=\"margin-bottom: 8px;line-height: 1.75em;text-align: left\"><span style=\"font-size: 14px\"><span><span>Riquelme, J. L., M. Hemberger, G. Laurent and J. Gjorgjieva (2023). &quot;Single spikes drive sequential propagation and routing of activity in a cortical network.&quot; eLife&nbsp;<\/span><\/span><strong><span><span>12<\/span><\/span><\/strong><span><span>: e79928.<\/span><\/span><\/span><\/p>\n<\/li>\n<\/ol>\n<p style=\"margin-left: 8px;margin-right: 8px;margin-bottom: 8px;line-height: 1.75em\"><span style=\"font-size: 14px\"><span>\u9ad8\u65af\u795e\u7ecf\u7f51\u7edc\u7684\u7ecf\u5178\u6587\u732e\u3002\u7ed9\u51fa\u4e86\u7ecf\u5178\u6df7\u6c8c RNN \u7684 Lyapunov \u8c31\u3002<\/span><\/span><\/p>\n<ol style=\"margin-left: 8px;margin-right: 8px\" class=\"list-paddingleft-1\" start=\"3\">\n<li>\n<p style=\"margin-bottom: 8px;line-height: 1.75em;text-align: left\"><span style=\"font-size: 14px\"><span><span>Engelken, R., F. Wolf and L. F. Abbott (2023). &quot;Lyapunov spectra of chaotic recurrent neural networks.&quot; Physical Review Research&nbsp;<\/span><\/span><strong><span><span>5<\/span><\/span><\/strong><span><span>(4).<\/span><\/span><\/span><\/p>\n<\/li>\n<\/ol>\n<p style=\"margin-left: 8px;margin-right: 8px;margin-bottom: 8px;line-height: 1.75em\"><span style=\"font-size: 14px\"><span>\u9ad8\u65af\u795e\u7ecf\u7f51\u7edc\u7684\u7ecf\u5178\u6587\u732e\u3002\u8ba8\u8bba\u4e86\u8fde\u63a5\u7684\u4e00\u9636\u548c\u4e8c\u9636\u7edf\u8ba1\u91cf\u5982\u4f55\u5f71\u54cd\u7ecf\u5178 RNN \u7684 participation ratio\uff08PR\uff09\u7ef4\u6570\u3002<\/span><\/span><\/p>\n<ol style=\"margin-left: 8px;margin-right: 8px\" class=\"list-paddingleft-1\" start=\"4\">\n<li>\n<p style=\"margin-bottom: 8px;line-height: 1.75em;text-align: left\"><span style=\"font-size: 14px\"><span><span>Clark, D. G., L. F. Abbott and A. Litwin-Kumar (2023). &quot;Dimension of Activity in Random Neural Networks.&quot; Physical Review Letters&nbsp;<\/span><\/span><strong><span><span>131<\/span><\/span><\/strong><span><span>(11): 118401.<\/span><\/span><\/span><\/p>\n<\/li>\n<\/ol>\n<p style=\"margin-left: 8px;margin-right: 8px;margin-bottom: 8px;line-height: 1.75em\"><span style=\"font-size: 14px\"><span>\u8054\u7cfb\u4e86\u9ad8\u65af RNN \u548c\u7a00\u758f\u5747\u5300 RNN \u7684\u6df7\u6c8c\u76f8\u53d8\uff0c\u5e76\u8ba8\u8bba\u4e86 SNN \u4e2d\u7684\u7c7b\u4f3c\u73b0\u8c61\u3002<\/span><\/span><\/p>\n<ol style=\"margin-left: 8px;margin-right: 8px\" class=\"list-paddingleft-1\" start=\"5\">\n<li>\n<p style=\"margin-bottom: 8px;line-height: 1.75em;text-align: left\"><span style=\"font-size: 14px\"><span><span>Kadmon, J. and H. Sompolinsky (2015). &quot;Transition to Chaos in Random Neuronal Networks.&quot; Physical Review X&nbsp;<\/span><\/span><strong><span><span>5<\/span><\/span><\/strong><span><span>(4).<\/span><\/span><\/span><\/p>\n<\/li>\n<\/ol>\n<p style=\"margin-left: 8px;margin-right: 8px;margin-bottom: 8px;line-height: 1.75em\"><span style=\"font-size: 14px\"><span>\u9ad8\u65af\u795e\u7ecf\u7f51\u7edc\u7ecf\u5178\u6587\u732e\u3002\u8ba8\u8bba\u4e86\u6df7\u6c8c\u76f8\u7684\u5e73\u8861\u70b9\u5206\u5e03\u3002<\/span><\/span><\/p>\n<ol style=\"margin-left: 8px;margin-right: 8px\" class=\"list-paddingleft-1\" start=\"6\">\n<li>\n<p style=\"margin-bottom: 8px;line-height: 1.75em;text-align: left\"><span style=\"font-size: 14px\"><span><span>Stubenrauch, J., C. Keup, A. C. Kurth, M. Helias and A. van Meegen (2025). &quot;Fixed point geometry in chaotic neural networks.&quot; Physical Review Research&nbsp;<\/span><\/span><strong><span><span>7<\/span><\/span><\/strong><span><span>(2): 023203.<\/span><\/span><\/span><\/p>\n<\/li>\n<\/ol>\n<p style=\"margin-left: 8px;margin-right: 8px;margin-bottom: 8px;line-height: 1.75em\"><span style=\"font-size: 14px\"><span>\u4ece\u7406\u8bba\u4e0a\u7ed9\u51fa\u4e86\u4ece\u534f\u65b9\u5dee\u5206\u5e03\u533a\u5206\u6df7\u6c8c\u8fb9\u7f18\u548c\u4e34\u754c\u96ea\u5d29\u4e24\u79cd\u4e34\u754c\u52a8\u529b\u5b66\u7684\u65b9\u6cd5\u3002<\/span><\/span><\/p>\n<ol style=\"margin-left: 8px;margin-right: 8px\" class=\"list-paddingleft-1\" start=\"7\">\n<li>\n<p style=\"margin-bottom: 8px;line-height: 1.75em;text-align: left\"><span style=\"font-size: 14px\"><span><span>Dahmen, D., S. Gr\u00fcn, M. Diesmann and M. Helias (2019). &quot;Second type of criticality in the brain uncovers rich multiple-neuron dynamics.&quot; Proceedings of the National Academy of Sciences&nbsp;<\/span><\/span><strong><span><span>116<\/span><\/span><\/strong><span><span>(26): 13051-13060.<\/span><\/span><\/span><\/p>\n<\/li>\n<\/ol>\n<p style=\"margin-left: 8px;margin-right: 8px;margin-bottom: 8px;line-height: 1.75em\"><span style=\"font-size: 14px\"><span>\u7b2c\u4e00\u7bc7\u8ba8\u8bba RNN \u52a8\u529b\u5b66\u5c40\u57df\u5316\u7684\u6587\u732e\u3002<\/span><\/span><\/p>\n<ol style=\"margin-left: 8px;margin-right: 8px\" class=\"list-paddingleft-1\" start=\"8\">\n<li>\n<p style=\"margin-bottom: 8px;line-height: 1.75em;text-align: left\"><span style=\"font-size: 14px\"><span><span>Monteforte, M. and F. Wolf (2010). &quot;Dynamical Entropy Production in Spiking Neuron Networks in the Balanced State.&quot; Physical Review Letters&nbsp;<\/span><\/span><strong><span><span>105<\/span><\/span><\/strong><span><span>(26): 268104.<\/span><\/span><\/span><\/p>\n<\/li>\n<\/ol>\n<p style=\"margin-left: 8px;margin-right: 8px;margin-bottom: 8px;line-height: 1.75em\"><span style=\"font-size: 14px\"><span>\u7b80\u5355\u7684\u53ef\u5851\u6027\u89c4\u5219\u5982\u4f55\u4ea7\u751f\u91cd\u5c3e\u5206\u5e03\u7684\u8fde\u63a5\u3002<\/span><\/span><\/p>\n<ol style=\"margin-left: 8px;margin-right: 8px\" class=\"list-paddingleft-1\" start=\"9\">\n<li>\n<p style=\"margin-bottom: 8px;line-height: 1.75em;text-align: left\"><span style=\"font-size: 14px\"><span><span>Lynn, C., C. Holmes and S. Palmer (2024). &quot;Heavy-tailed neuronal connectivity arises from Hebbian self-organization.&quot; Nature Physics&nbsp;<\/span><\/span><strong><span><span>20<\/span><\/span><\/strong><span><span>: 1-8.<\/span><\/span><\/span><\/p>\n<\/li>\n<\/ol>\n<p style=\"margin-left: 8px;margin-right: 8px;margin-bottom: 8px;line-height: 1.75em\"><span style=\"font-size: 14px\"><span>\u5904\u7406\u7a00\u758f\u5747\u5300 SNN \u7684\u7ecf\u5178\u65b9\u6cd5\u3002<\/span><\/span><\/p>\n<ol style=\"margin-left: 8px;margin-right: 8px\" class=\"list-paddingleft-1\" start=\"10\">\n<li>\n<p style=\"margin-bottom: 8px;line-height: 1.75em;text-align: left\"><span style=\"font-size: 14px\"><span><span>Brunel, N. and V. Hakim (2022). Population density model. Encyclopedia of Computational Neuroscience. D. Jaeger and R. Jung, Springer, New York, NY<\/span><\/span><strong><span><span>:&nbsp;<\/span><\/span><\/strong><span><span>2846-2865.<\/span><\/span><\/span><\/p>\n<\/li>\n<\/ol>\n<p style=\"margin-left: 8px;margin-right: 8px;margin-bottom: 8px;line-height: 1.75em\"><strong style=\"font-size: 15px\"><span><br \/><\/span><\/strong><\/p>\n<p style=\"margin-left: 8px;margin-right: 8px;margin-bottom: 8px;line-height: 1.75em\"><strong style=\"font-size: 14px\"><span><span>\u793e\u533a\u62db\u52df\uff1a<\/span><\/span><\/strong><\/p>\n<p style=\"margin-left: 8px;margin-right: 8px;margin-bottom: 8px;line-height: 1.75em\"><span style=\"font-size: 14px\"><span>Morrell \u6a21\u578b\u901a\u8fc7\u5f15\u5165\u82e5\u5e72\u4e2a\u7f13\u53d8\u9690\u53d8\u91cf\u53ef\u4ee5\u4ea7\u751f\u7c7b\u4f3c\u4e8e\u751f\u7269\u795e\u7ecf\u7f51\u7edc\u4e2d\u89c2\u5bdf\u5230\u7684\u4e34\u754c\u96ea\u5d29\u3002<\/span><\/span><\/p>\n<ol style=\"margin-left: 8px;margin-right: 8px\" class=\"list-paddingleft-1\" start=\"1\">\n<li>\n<p style=\"margin-bottom: 8px;line-height: 1.75em;text-align: left\"><span style=\"font-size: 14px\"><span><span>Morrell, M. C., I. Nemenman and A. Sederberg (2024). &quot;Neural criticality from effective latent variables.&quot; eLife&nbsp;<\/span><\/span><strong><span><span>12<\/span><\/span><\/strong><span><span>: RP89337.<\/span><\/span><\/span><\/p>\n<\/li>\n<li>\n<p style=\"margin-bottom: 8px;line-height: 1.75em;text-align: left\"><span style=\"font-size: 15px\"><span style=\"font-size: 14px\"><span><span>Morrell, M. C., A. J. Sederberg and I. Nemenman (2021). &quot;Latent Dynamical Variables Produce Signatures of Spatiotemporal Criticality in Large Biological Systems.&quot; Physical Review Letters&nbsp;<\/span><\/span><strong><span><span>126<\/span><\/span><\/strong><\/span><span style=\"font-size: 14px\"><span>(11): 118302.<\/span><\/span><\/span><\/p>\n<\/li>\n<\/ol>\n<section style=\"margin-left: 8px;margin-right: 8px;margin-bottom: 0px;line-height: 1.75em\"><span><br \/><\/span><\/p>\n<h1 style=\"margin: 0px 0px 14px;padding: 0px;font-weight: 500;font-size: 22px;line-height: 1.4;, Arial, sans-serif;font-style: normal;letter-spacing: 0.544px;text-align: start;text-indent: 0px;text-transform: none\" data-pm-slice=\"3 8 [&quot;para&quot;,{&quot;tagName&quot;:&quot;section&quot;,&quot;attributes&quot;:{&quot;powered-by&quot;:&quot;xiumi.us&quot;,&quot;style&quot;:&quot;margin-bottom: 0px;white-space: normal;outline: 0px;letter-spacing: 0.544px;color: rgb(136, 136, 136);font-size: 14px;font-family: -apple-system-font, system-ui, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;background-color: rgb(255, 255, 255);&quot;},&quot;namespaceURI&quot;:&quot;http:\/\/www.w3.org\/1999\/xhtml&quot;},&quot;para&quot;,{&quot;tagName&quot;:&quot;section&quot;,&quot;attributes&quot;:{},&quot;namespaceURI&quot;:&quot;http:\/\/www.w3.org\/1999\/xhtml&quot;},&quot;para&quot;,{&quot;tagName&quot;:&quot;section&quot;,&quot;attributes&quot;:{},&quot;namespaceURI&quot;:&quot;http:\/\/www.w3.org\/1999\/xhtml&quot;}]\">\n<section data-pm-slice=\"7 6 [&quot;para&quot;,{&quot;tagName&quot;:&quot;section&quot;,&quot;attributes&quot;:{&quot;powered-by&quot;:&quot;xiumi.us&quot;,&quot;style&quot;:&quot;margin-bottom: 0px;white-space: normal;outline: 0px;letter-spacing: 0.544px;color: rgb(136, 136, 136);font-size: 14px;font-family: -apple-system-font, system-ui, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;background-color: rgb(255, 255, 255);&quot;},&quot;namespaceURI&quot;:&quot;http:\/\/www.w3.org\/1999\/xhtml&quot;},&quot;para&quot;,{&quot;tagName&quot;:&quot;section&quot;,&quot;attributes&quot;:{},&quot;namespaceURI&quot;:&quot;http:\/\/www.w3.org\/1999\/xhtml&quot;},&quot;para&quot;,{&quot;tagName&quot;:&quot;section&quot;,&quot;attributes&quot;:{},&quot;namespaceURI&quot;:&quot;http:\/\/www.w3.org\/1999\/xhtml&quot;}]\">\n<section style=\"margin-bottom: 0px;letter-spacing: 0.544px;font-size: 14px;, Arial, sans-serif\" data-pm-slice=\"4 4 [&quot;para&quot;,{&quot;tagName&quot;:&quot;section&quot;,&quot;attributes&quot;:{&quot;powered-by&quot;:&quot;xiumi.us&quot;,&quot;style&quot;:&quot;margin-bottom: 0px;white-space: normal;outline: 0px;letter-spacing: 0.544px;color: rgb(136, 136, 136);font-size: 14px;font-family: -apple-system-font, system-ui, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;background-color: rgb(255, 255, 255);&quot;},&quot;namespaceURI&quot;:&quot;http:\/\/www.w3.org\/1999\/xhtml&quot;}]\">\n<section style=\"margin-bottom: 0px;letter-spacing: 0.544px;font-size: 14px;, Arial, sans-serif\">\n<section style=\"margin-bottom: 0px;letter-spacing: 0.544px;font-size: 14px;, Arial, sans-serif\">\n<section data-pm-slice=\"7 5 [&quot;para&quot;,{&quot;tagName&quot;:&quot;section&quot;,&quot;attributes&quot;:{&quot;powered-by&quot;:&quot;xiumi.us&quot;,&quot;style&quot;:&quot;margin-bottom: 0px;white-space: normal;outline: 0px;letter-spacing: 0.544px;color: rgb(136, 136, 136);font-size: 14px;font-family: -apple-system-font, system-ui, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;background-color: rgb(255, 255, 255);&quot;},&quot;namespaceURI&quot;:&quot;http:\/\/www.w3.org\/1999\/xhtml&quot;},&quot;para&quot;,{&quot;tagName&quot;:&quot;section&quot;,&quot;attributes&quot;:{},&quot;namespaceURI&quot;:&quot;http:\/\/www.w3.org\/1999\/xhtml&quot;},&quot;para&quot;,{&quot;tagName&quot;:&quot;section&quot;,&quot;attributes&quot;:{},&quot;namespaceURI&quot;:&quot;http:\/\/www.w3.org\/1999\/xhtml&quot;},&quot;para&quot;,{&quot;tagName&quot;:&quot;section&quot;,&quot;attributes&quot;:{&quot;powered-by&quot;:&quot;xiumi.us&quot;,&quot;style&quot;:&quot;margin-bottom: 0px;white-space: normal;outline: 0px;letter-spacing: 0.544px;color: rgb(136, 136, 136);font-size: 14px;font-family: -apple-system-font, system-ui, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;background-color: rgb(255, 255, 255);&quot;},&quot;namespaceURI&quot;:&quot;http:\/\/www.w3.org\/1999\/xhtml&quot;},&quot;para&quot;,{&quot;tagName&quot;:&quot;section&quot;,&quot;attributes&quot;:{},&quot;namespaceURI&quot;:&quot;http:\/\/www.w3.org\/1999\/xhtml&quot;},&quot;para&quot;,{&quot;tagName&quot;:&quot;section&quot;,&quot;attributes&quot;:{},&quot;namespaceURI&quot;:&quot;http:\/\/www.w3.org\/1999\/xhtml&quot;}]\">\n<section style=\"margin-bottom: 0px;letter-spacing: 0.544px;font-size: 14px;, Arial, sans-serif\" data-pm-slice=\"7 2 []\">\n<section><strong><span style=\"font-size: 15px\"><span style=\"letter-spacing: 0.544px;font-size: 15px\"><span data-pm-slice=\"1 1 [&quot;para&quot;,{&quot;tagName&quot;:&quot;p&quot;,&quot;attributes&quot;:{&quot;style&quot;:&quot;margin-right: 8px; margin-bottom: 0px; margin-left: 8px; color: rgb(136, 136, 136); font-family: -apple-system-font, system-ui, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif; font-size: 14px; letter-spacing: 0.544px; -webkit-tap-highlight-color: transparent; outline: 0px; line-height: 2em;&quot;},&quot;namespaceURI&quot;:&quot;http:\/\/www.w3.org\/1999\/xhtml&quot;},&quot;node&quot;,{&quot;tagName&quot;:&quot;span&quot;,&quot;attributes&quot;:{&quot;style&quot;:&quot;letter-spacing: 0.544px; font-size: 15px;&quot;},&quot;namespaceURI&quot;:&quot;http:\/\/www.w3.org\/1999\/xhtml&quot;}]\"><br \/><\/span><\/span><\/span><\/strong><\/section>\n<\/section>\n<section style=\"margin-top: 10px;margin-bottom: 0px;, Arial, sans-serif;font-size: 14px;letter-spacing: 0.544px;text-align: center;justify-content: center\">\n<section style=\"width: auto;vertical-align: top;min-width: 10%;height: auto\">\n<section style=\"margin-bottom: -15px\">\n<section style=\"padding-right: 10px;padding-left: 10px;font-size: 16px;line-height: 2;letter-spacing: 3px\">\n<p><strong><span>\u8ba1\u7b97\u795e\u7ecf\u79d1\u5b66\u7b2c\u4e09\u5b63\u8bfb\u4e66\u4f1a<\/span><\/strong><\/p>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<section style=\"margin-bottom: 0px;letter-spacing: 0.544px;font-size: 14px;, Arial, sans-serif\"><span><strong><span style=\"font-size: 15px\"><span style=\"letter-spacing: 0.544px;font-size: 15px\"><span data-pm-slice=\"1 1 [&quot;para&quot;,{&quot;tagName&quot;:&quot;p&quot;,&quot;attributes&quot;:{&quot;style&quot;:&quot;margin-right: 8px; margin-bottom: 0px; margin-left: 8px; color: rgb(136, 136, 136); font-family: -apple-system-font, system-ui, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif; font-size: 14px; letter-spacing: 0.544px; -webkit-tap-highlight-color: transparent; outline: 0px; line-height: 2em;&quot;},&quot;namespaceURI&quot;:&quot;http:\/\/www.w3.org\/1999\/xhtml&quot;},&quot;node&quot;,{&quot;tagName&quot;:&quot;span&quot;,&quot;attributes&quot;:{&quot;style&quot;:&quot;letter-spacing: 0.544px; font-size: 15px;&quot;},&quot;namespaceURI&quot;:&quot;http:\/\/www.w3.org\/1999\/xhtml&quot;}]\"><br \/><\/span><\/span><\/span><\/strong><\/span><\/section>\n<p style=\"margin-right: 8px;margin-bottom: 24px;margin-left: 8px;, Arial, sans-serif;font-size: 14px;letter-spacing: 0.544px;line-height: 2em\" data-pm-slice=\"0 0 []\"><span style=\"font-size: 15px\" data-mpa-action-id=\"mdqyjmwhnyi\" data-pm-slice=\"0 0 []\"><span style=\"font-weight: normal\">\u4ece\u5355\u4e2a\u795e\u7ecf\u5143\u7684\u653e\u7535\u5230\u5168\u8111\u8303\u56f4\u7684\u610f\u8bc6\u6d8c\u73b0\uff0c\u7406\u89e3\u667a\u80fd\u7684\u672c\u8d28\u4e0e\u6f14\u5316\u59cb\u7ec8\u662f\u4e00\u4e2a\u5173\u4e8e\u5c3a\u5ea6\u7684\u95ee\u9898\u3002\u66f4\u503c\u5f97\u6df1\u601d\u7684\u662f\uff0c\u65e0\u8bba\u662f\u5fae\u89c2\u7684\u7a81\u89e6\u53ef\u5851\u6027\u3001\u4ecb\u89c2\u7684\u76ae\u5c42\u6a21\u5757\u81ea\u7ec4\u7ec7\uff0c\u8fd8\u662f\u5b8f\u89c2\u7684\u5168\u5c40\u4fe1\u606f\u5e7f\u64ad\uff0c\u4e0d\u540c\u5c3a\u5ea6\u7684\u52a8\u529b\u5b66\u8fc7\u7a0b\u90fd\u5728\u5171\u540c\u5851\u9020\u7740\u8ba4\u77e5\u4e0e\u610f\u8bc6\u3002\u8fd9\u8bf4\u660e\uff0c\u5bf9\u5fc3\u667a\u7684\u7814\u7a76\u4ece\u6700\u521d\u5c31\u5fc5\u987b\u76f4\u9762\u4e00\u4e2a\u6838\u5fc3\u6311\u6218\uff1a\u5c40\u90e8\u7684\u795e\u7ecf\u6d3b\u52a8\u5982\u4f55\u6574\u5408\u4e3a\u7edf\u4e00\u7684\u4f53\u9a8c\uff1f\u5c40\u57df\u7684\u7f51\u7edc\u8fde\u63a5\u53c8\u5982\u4f55\u652f\u6491\u7075\u6d3b\u7684\u667a\u80fd\u884c\u4e3a\uff1f<\/span><\/span><\/p>\n<p style=\"margin-right: 8px;margin-bottom: 24px;margin-left: 8px;, Arial, sans-serif;font-size: 14px;letter-spacing: 0.544px;line-height: 2em\" data-pm-slice=\"0 0 []\"><span style=\"font-size: 15px\" data-mpa-action-id=\"mdqyjmwhnyi\" data-pm-slice=\"0 0 []\"><span style=\"font-weight: normal\">\u7ee7\u300c<\/span><a class=\"normal_text_link\" target=\"_blank\" style=\"margin: 0px;padding: 0px;text-decoration: none;cursor: default;max-width: 100%\" href=\"https:\/\/mp.weixin.qq.com\/s?__biz=MzIzMjQyNzQ5MA==&amp;mid=2247632732&amp;idx=1&amp;sn=4deb2051aeb31d1cbf3ad70732911a30&amp;scene=21#wechat_redirect\" data-itemshowtype=\"0\" data-linktype=\"2\" rel=\"noopener noreferrer\"><span style=\"font-weight: normal\">\u795e\u7ecf\u52a8\u529b\u5b66\u6a21\u578b<\/span><\/a><span style=\"font-weight: normal\">\u300d\u4e0e\u300c<\/span><a class=\"normal_text_link\" target=\"_blank\" style=\"margin: 0px;padding: 0px;text-decoration: none;cursor: default;max-width: 100%\" href=\"https:\/\/mp.weixin.qq.com\/s?__biz=MzIzMjQyNzQ5MA==&amp;mid=2247680541&amp;idx=1&amp;sn=3e8f6f04ff96462f44cf772c3b6c01f7&amp;scene=21#wechat_redirect\" data-itemshowtype=\"0\" data-linktype=\"2\" rel=\"noopener noreferrer\"><span style=\"font-weight: normal\">\u8ba1\u7b97\u795e\u7ecf\u79d1\u5b66<\/span><\/a><span style=\"font-weight: normal\">\u300d\u8bfb\u4e66\u4f1a\u540e\uff0c\u96c6\u667a\u4ff1\u4e50\u90e8\u8054\u5408\u6765\u81ea\u6570\u5b66\u3001\u7269\u7406\u5b66\u3001\u751f\u7269\u5b66\u3001\u795e\u7ecf\u79d1\u5b66\u548c\u8ba1\u7b97\u673a\u7684\u4e00\u7ebf\u7814\u7a76\u8005\u5171\u540c\u53d1\u8d77<\/span><a class=\"normal_text_link\" target=\"_blank\" href=\"https:\/\/mp.weixin.qq.com\/s?__biz=MzIzMjQyNzQ5MA==&amp;mid=2247719202&amp;idx=1&amp;sn=f6a8c5d5428bdd12818f59d2796d464d&amp;scene=21#wechat_redirect\" data-itemshowtype=\"0\" data-linktype=\"2\" rel=\"noopener noreferrer\"><span style=\"font-weight: normal\">\u300c\u4ece\u795e\u7ecf\u52a8\u529b\u5b66\u5230\u610f\u8bc6\uff1a\u8de8\u5c3a\u5ea6\u8ba1\u7b97\u3001\u6f14\u5316\u4e0e\u6d8c\u73b0\u300d\u8bfb\u4e66\u4f1a<\/span><\/a><span style=\"font-weight: normal\">\uff0c\u8de8\u8d8a\u5fae\u89c2\u3001\u4ecb\u89c2\u4e0e\u5b8f\u89c2\u7684\u89c6\u89d2\uff0c\u63a2\u7d22\u610f\u8bc6\u4e0e\u667a\u80fd\u7684\u8de8\u5c3a\u5ea6\u8ba1\u7b97\u3001\u6f14\u5316\u4e0e\u6d8c\u73b0\u3002\u91cd\u70b9\u63a2\u8ba8\u7269\u7406\u89c4\u5f8b\u4e0e\u4eba\u5de5\u667a\u80fd\u5982\u4f55\u5e2e\u52a9\u6211\u4eec\u8ba4\u8bc6\u795e\u7ecf\u52a8\u529b\u5b66\uff0c\u4ee5\u53ca\u795e\u7ecf\u6d3b\u52a8\u8de8\u5c3a\u5ea6\u7684\u8ba1\u7b97\u4e0e\u6f14\u5316\u5982\u4f55\u6784\u5efa\u5fae\u89c2\u4e0e\u5b8f\u89c2\u3001\u7ed3\u6784\u4e0e\u529f\u80fd\u4e4b\u95f4\u7684\u6865\u6881\u3002<\/span><\/span><\/p>\n<section style=\"margin-right: 8px;margin-bottom: 24px;margin-left: 8px;, Arial, sans-serif;font-size: 14px;letter-spacing: 0.544px;line-height: 2em\" data-pm-slice=\"0 0 []\"><img alt=\"\u56fe\u7247\" class=\"rich_pages wxw-img\" data-ratio=\"0.5722222222222222\" data-w=\"1080\" style=\"width: 100%;height: auto !important\" data-backw=\"562\" data-backh=\"322\" src=\"\" \/><\/section>\n<section style=\"margin-bottom: 0px;letter-spacing: 0.544px;font-size: 14px;, Arial, sans-serif\" data-pm-slice=\"4 4 [&quot;para&quot;,{&quot;tagName&quot;:&quot;section&quot;,&quot;attributes&quot;:{&quot;powered-by&quot;:&quot;xiumi.us&quot;,&quot;style&quot;:&quot;margin-bottom: 0px;white-space: normal;outline: 0px;letter-spacing: 0.544px;color: rgb(136, 136, 136);font-size: 14px;font-family: -apple-system-font, system-ui, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;background-color: rgb(255, 255, 255);&quot;},&quot;namespaceURI&quot;:&quot;http:\/\/www.w3.org\/1999\/xhtml&quot;},&quot;para&quot;,{&quot;tagName&quot;:&quot;section&quot;,&quot;attributes&quot;:{},&quot;namespaceURI&quot;:&quot;http:\/\/www.w3.org\/1999\/xhtml&quot;},&quot;para&quot;,{&quot;tagName&quot;:&quot;section&quot;,&quot;attributes&quot;:{},&quot;namespaceURI&quot;:&quot;http:\/\/www.w3.org\/1999\/xhtml&quot;},&quot;para&quot;,{&quot;tagName&quot;:&quot;section&quot;,&quot;attributes&quot;:{&quot;data-pm-slice&quot;:&quot;7 3 [&quot;para&quot;,{&quot;tagName&quot;:&quot;section&quot;,&quot;attributes&quot;:{&quot;powered-by&quot;:&quot;xiumi.us&quot;,&quot;style&quot;:&quot;margin-bottom: 0px;white-space: normal;outline: 0px;letter-spacing: 0.544px;color: rgb(136, 136, 136);font-size: 14px;font-family: -apple-system-font, system-ui, \\&quot;Helvetica Neue\\&quot;, \\&quot;PingFang SC\\&quot;, \\&quot;Hiragino Sans GB\\&quot;, \\&quot;Microsoft YaHei UI\\&quot;, \\&quot;Microsoft YaHei\\&quot;, Arial, sans-serif;background-color: rgb(255, 255, 255);&quot;},&quot;namespaceURI&quot;:&quot;http:\/\/www.w3.org\/1999\/xhtml&quot;}]&quot;},&quot;namespaceURI&quot;:&quot;http:\/\/www.w3.org\/1999\/xhtml&quot;},&quot;para&quot;,{&quot;tagName&quot;:&quot;section&quot;,&quot;attributes&quot;:{&quot;powered-by&quot;:&quot;xiumi.us&quot;,&quot;style&quot;:&quot;margin-bottom: 0px;white-space: normal;outline: 0px;letter-spacing: 0.544px;color: rgb(136, 136, 136);font-size: 14px;font-family: -apple-system-font, system-ui, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;background-color: rgb(255, 255, 255);&quot;},&quot;namespaceURI&quot;:&quot;http:\/\/www.w3.org\/1999\/xhtml&quot;}]\">\n<section style=\"margin-left: 8px;margin-right: 8px\" data-pm-slice=\"3 3 []\"><span style=\"margin-top: 0px;margin-bottom: 0px;padding: 0px;max-width: 100%;font-size: 15px\"><span style=\"margin-top: 0px;margin-bottom: 0px;padding: 0px;max-width: 100%\" data-pm-slice=\"1 1 [&quot;para&quot;,{&quot;tagName&quot;:&quot;p&quot;,&quot;attributes&quot;:{&quot;style&quot;:&quot;-webkit-tap-highlight-color: transparent;margin: 0px 8px 5px;padding: 0px;outline: 0px;max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;clear: both;min-height: 1em;font-style: normal;font-variant-ligatures: normal;font-variant-caps: normal;font-weight: 400;letter-spacing: 0.544px;orphans: 2;text-align: justify;text-indent: 0px;text-transform: none;widows: 2;word-spacing: 0px;-webkit-text-stroke-width: 0px;white-space: normal;text-decoration-thickness: initial;text-decoration-style: initial;text-decoration-color: initial;background-color: rgb(255, 255, 255);color: rgb(136, 136, 136);font-family: -apple-system-font, system-ui, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;font-size: 14px;&quot;},&quot;namespaceURI&quot;:&quot;http:\/\/www.w3.org\/1999\/xhtml&quot;},&quot;node&quot;,{&quot;tagName&quot;:&quot;span&quot;,&quot;attributes&quot;:{&quot;style&quot;:&quot;-webkit-tap-highlight-color: transparent;margin: 0px;padding: 0px;outline: 0px;max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;color: rgb(63, 63, 63);font-size: 15px;&quot;},&quot;namespaceURI&quot;:&quot;http:\/\/www.w3.org\/1999\/xhtml&quot;}]\"><br \/><\/span><\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px\" data-pm-slice=\"3 3 []\"><span style=\"margin-top: 0px;margin-bottom: 0px;padding: 0px;max-width: 100%;font-size: 15px\"><span style=\"margin-top: 0px;margin-bottom: 0px;padding: 0px;max-width: 100%\" data-pm-slice=\"1 1 [&quot;para&quot;,{&quot;tagName&quot;:&quot;p&quot;,&quot;attributes&quot;:{&quot;style&quot;:&quot;-webkit-tap-highlight-color: transparent;margin: 0px 8px 5px;padding: 0px;outline: 0px;max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;clear: both;min-height: 1em;font-style: normal;font-variant-ligatures: normal;font-variant-caps: normal;font-weight: 400;letter-spacing: 0.544px;orphans: 2;text-align: justify;text-indent: 0px;text-transform: none;widows: 2;word-spacing: 0px;-webkit-text-stroke-width: 0px;white-space: normal;text-decoration-thickness: initial;text-decoration-style: initial;text-decoration-color: initial;background-color: rgb(255, 255, 255);color: rgb(136, 136, 136);font-family: -apple-system-font, system-ui, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;font-size: 14px;&quot;},&quot;namespaceURI&quot;:&quot;http:\/\/www.w3.org\/1999\/xhtml&quot;},&quot;node&quot;,{&quot;tagName&quot;:&quot;span&quot;,&quot;attributes&quot;:{&quot;style&quot;:&quot;-webkit-tap-highlight-color: transparent;margin: 0px;padding: 0px;outline: 0px;max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;color: rgb(63, 63, 63);font-size: 15px;&quot;},&quot;namespaceURI&quot;:&quot;http:\/\/www.w3.org\/1999\/xhtml&quot;}]\"><span style=\"font-weight: normal\">\u8be6\u60c5\u8bf7\u89c1\uff1a<\/span><a class=\"normal_text_link\" target=\"_blank\" href=\"https:\/\/mp.weixin.qq.com\/s?__biz=MzIzMjQyNzQ5MA==&amp;mid=2247719202&amp;idx=1&amp;sn=f6a8c5d5428bdd12818f59d2796d464d&amp;scene=21#wechat_redirect\" data-itemshowtype=\"0\" data-linktype=\"2\" rel=\"noopener noreferrer\"><span style=\"font-weight: normal\">\u4ece\u795e\u7ecf\u52a8\u529b\u5b66\u5230\u610f\u8bc6\uff1a\u8de8\u5c3a\u5ea6\u8ba1\u7b97\u3001\u6f14\u5316\u4e0e\u6d8c\u73b0\u4e28\u8ba1\u7b97\u795e\u7ecf\u79d1\u5b66\u7b2c\u4e09\u5b63\u00b7\u8bfb\u4e66\u4f1a\u542f\u52a8<\/span><\/a><\/span><\/span><\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<section style=\"margin-left: 8px;margin-right: 8px\" data-pm-slice=\"3 3 []\"><span style=\"margin-top: 0px;margin-bottom: 0px;padding: 0px;max-width: 100%;font-size: 15px\"><span style=\"margin-top: 0px;margin-bottom: 0px;padding: 0px;max-width: 100%\" data-pm-slice=\"1 1 [&quot;para&quot;,{&quot;tagName&quot;:&quot;p&quot;,&quot;attributes&quot;:{&quot;style&quot;:&quot;-webkit-tap-highlight-color: transparent;margin: 0px 8px 5px;padding: 0px;outline: 0px;max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;clear: both;min-height: 1em;font-style: normal;font-variant-ligatures: normal;font-variant-caps: normal;font-weight: 400;letter-spacing: 0.544px;orphans: 2;text-align: justify;text-indent: 0px;text-transform: none;widows: 2;word-spacing: 0px;-webkit-text-stroke-width: 0px;white-space: normal;text-decoration-thickness: initial;text-decoration-style: initial;text-decoration-color: initial;background-color: rgb(255, 255, 255);color: rgb(136, 136, 136);font-family: -apple-system-font, system-ui, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;font-size: 14px;&quot;},&quot;namespaceURI&quot;:&quot;http:\/\/www.w3.org\/1999\/xhtml&quot;},&quot;node&quot;,{&quot;tagName&quot;:&quot;span&quot;,&quot;attributes&quot;:{&quot;style&quot;:&quot;-webkit-tap-highlight-color: transparent;margin: 0px;padding: 0px;outline: 0px;max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;color: rgb(63, 63, 63);font-size: 15px;&quot;},&quot;namespaceURI&quot;:&quot;http:\/\/www.w3.org\/1999\/xhtml&quot;}]\"><br \/><\/span><\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px\"><span style=\"margin-top: 0px;margin-bottom: 0px;padding: 0px;max-width: 100%;font-size: 15px\"><span style=\"margin-top: 0px;margin-bottom: 0px;padding: 0px;max-width: 100%\" data-pm-slice=\"1 1 [&quot;para&quot;,{&quot;tagName&quot;:&quot;p&quot;,&quot;attributes&quot;:{&quot;style&quot;:&quot;-webkit-tap-highlight-color: transparent;margin: 0px 8px 5px;padding: 0px;outline: 0px;max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;clear: both;min-height: 1em;font-style: normal;font-variant-ligatures: normal;font-variant-caps: normal;font-weight: 400;letter-spacing: 0.544px;orphans: 2;text-align: justify;text-indent: 0px;text-transform: none;widows: 2;word-spacing: 0px;-webkit-text-stroke-width: 0px;white-space: normal;text-decoration-thickness: initial;text-decoration-style: initial;text-decoration-color: initial;background-color: rgb(255, 255, 255);color: rgb(136, 136, 136);font-family: -apple-system-font, system-ui, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;font-size: 14px;&quot;},&quot;namespaceURI&quot;:&quot;http:\/\/www.w3.org\/1999\/xhtml&quot;},&quot;node&quot;,{&quot;tagName&quot;:&quot;span&quot;,&quot;attributes&quot;:{&quot;style&quot;:&quot;-webkit-tap-highlight-color: transparent;margin: 0px;padding: 0px;outline: 0px;max-width: 100%;box-sizing: border-box !important;overflow-wrap: break-word !important;color: rgb(63, 63, 63);font-size: 15px;&quot;},&quot;namespaceURI&quot;:&quot;http:\/\/www.w3.org\/1999\/xhtml&quot;}]\"><br \/><\/span><\/span><\/section>\n<\/section>\n<\/section>\n<\/h1>\n<\/section>\n<section style=\"margin-left: 0px;margin-right: 0px;margin-bottom: 0px;line-height: 1.75em\"><span style=\"font-family: PingFangSC-light;font-size: 15px;font-style: normal;font-weight: 700;letter-spacing: 0.544px;text-align: left;text-indent: 0px;text-transform: none;float: none\" data-pm-slice=\"0 0 []\"><span>\u70b9\u51fb\u201c\u9605\u8bfb\u539f\u6587\u201d\uff0c\u62a5\u540d\u8bfb\u4e66\u4f1a<\/span><\/span><\/section>\n<\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u5bfc\u8bed 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