{"id":39517,"date":"2022-12-27T20:06:24","date_gmt":"2022-12-27T12:06:24","guid":{"rendered":"https:\/\/swarma.org\/?p=39517"},"modified":"2022-12-27T20:06:24","modified_gmt":"2022-12-27T12:06:24","slug":"%e9%bb%84%e6%b5%b7%e5%b9%b3%ef%bc%9a%e7%a5%9e%e7%bb%8f%e7%bd%91%e7%bb%9c%e7%9a%84%e7%bb%9f%e8%ae%a1%e5%8a%9b%e5%ad%a6%e7%b3%bb%e5%88%97%e8%af%be%e7%a8%8b%e4%b8%8a%e5%ad%a6%e6%9c%9f%e7%bb%93%e8%af%be","status":"publish","type":"post","link":"https:\/\/swarma.org\/?p=39517","title":{"rendered":"\u9ec4\u6d77\u5e73\uff1a\u795e\u7ecf\u7f51\u7edc\u7684\u7edf\u8ba1\u529b\u5b66\u7cfb\u5217\u8bfe\u7a0b\u4e0a\u5b66\u671f\u7ed3\u8bfe | \u53e6\u5f00\u653e20\u540d\u514d\u8d39\u540d\u989d"},"content":{"rendered":"<div class='wxsyncmain'>\n<section powered-by=\"xiumi.us\" style=\"margin-bottom: 0px;outline: 0px;letter-spacing: 0.544px;white-space: normal;color: rgb(63, 63, 63);font-family: PingFangSC-light;font-size: 15px;background-color: rgb(255, 255, 255);visibility: visible;\" data-mpa-powered-by=\"yiban.io\">\n<section style=\"outline: 0px;display: inline-block;width: 661px;vertical-align: top;background-color: rgb(246, 246, 246);visibility: visible;\">\n<section style=\"outline: 0px;visibility: visible;\">\n<p style=\"text-align: center;\"><img class=\"rich_pages wxw-img\" data-backh=\"376\" data-backw=\"578\" data-height=\"702\" data-ratio=\"0.65\"  data-type=\"png\" data-w=\"1080\" data-width=\"1080\" style=\"white-space: normal;width: 100%;height: auto;\" src=\"\/wp-content\/uploads\/2022\/12\/wxsync-2022-12-dfc7334bde00ca046e7ee91933137edb.png\"  \/><\/p>\n<\/section>\n<section powered-by=\"xiumi.us\" style=\"margin-top: 10px;outline: 0px;letter-spacing: 0.544px;visibility: visible;\">\n<section style=\"outline: 0px;width: 661px;visibility: visible;\">\n<section style=\"padding-right: 3px;outline: 0px;float: left;line-height: 1;visibility: visible;\">\n<section powered-by=\"xiumi.us\" style=\"outline: 0px;text-align: left;visibility: 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visible;\">\n<p style=\"outline: 0px;visibility: visible;\"><strong style=\"outline: 0px;visibility: visible;\">\u5bfc\u8bed<\/strong><\/p>\n<\/section>\n<\/section>\n<section powered-by=\"xiumi.us\" style=\"outline: 0px;transform: translate3d(-13px, 0px, 0px) rotateX(180deg);visibility: visible;\">\n<section style=\"outline: 0px;display: inline-block;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;border-color: rgb(33, 166, 210) rgb(33, 166, 210) rgb(15, 76, 129);visibility: visible;\"><br style=\"outline: 0px;visibility: visible;\"  \/><\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<section style=\"padding-right: 4px;padding-left: 4px;outline: 0px;clear: right;box-shadow: rgb(0, 0, 0) 0px 0px 0px;visibility: visible;min-height: 4.5em !important;\">\n<section powered-by=\"xiumi.us\" style=\"margin-top: 5px;margin-bottom: 5px;outline: 0px;visibility: visible;\">\n<section style=\"padding-right: 8px;padding-left: 8px;outline: 0px;font-size: 13px;line-height: 2;letter-spacing: 0.544px;visibility: visible;\">\n<p style=\"outline: 0px;clear: none;line-height: 2em;visibility: visible;\"><strong style=\"letter-spacing: 0.544px;text-indent: 0em;font-size: 15px;\"><span style=\"font-size: 13px;letter-spacing: 0.544px;text-decoration-style: solid;text-decoration-color: rgb(63, 63, 63);\">\u4e3a\u4e86\u5e2e\u52a9\u5b66\u751f\u5b66\u4e60\u7edf\u8ba1\u529b\u5b66\u7684\u57fa\u672c\u539f\u7406\u53ca\u5176\u5728\u7406\u89e3\u795e\u7ecf\u7f51\u7edc\u5185\u90e8\u5de5\u4f5c\u539f\u7406\u7684\u5e94\u7528\uff0c\u4e2d\u5c71\u5927\u5b66\u6559\u6388\u3001PMI Lab\u7684\u9ec4\u6d77\u5e73\u8001\u5e08\u7ec4\u7ec7\u4e86\u300a<strong style=\"letter-spacing: 0.544px;\"><span style=\"letter-spacing: 0.544px;\"><a target=\"_blank\" href=\"http:\/\/mp.weixin.qq.com\/s?__biz=MzIzMjQyNzQ5MA==&amp;mid=2247628086&amp;idx=2&amp;sn=32c39ccfc209a0ac02d8995e0a64f54b&amp;chksm=e899afbbdfee26ad74fe0809f477e061095857882da0dde32640c94906424e20818d3404dd6a&amp;scene=21#wechat_redirect\" textvalue=\"\u795e\u7ecf\u7f51\u7edc\u7684\u7edf\u8ba1\u529b\u5b66\" linktype=\"text\" imgurl=\"\" imgdata=\"null\" data-itemshowtype=\"0\" tab=\"innerlink\" data-linktype=\"2\" rel=\"noopener noreferrer\">\u795e\u7ecf\u7f51\u7edc\u7684\u7edf\u8ba1\u529b\u5b66<\/a><\/span><\/strong>\u300b\u5728\u7ebf\u8bfe\u7a0b\uff0c\u8bfe\u7a0b\u4ece2022\u5e749\u6708\u6301\u7eed\u52302023\u5e746\u6708\u3002\u76ee\u524d\u4e0a\u5b63\u8bfe\u7a0b\u4ece2022\u5e749\u6708-2022\u5e7412\u6708\uff0c\u5171\u8ba18\u7ae0\u5185\u5bb9\u300112\u8bb2\u8bfe\u7a0b\uff0c\u5df2\u5b8c\u6574\u4e0a\u7ebf\u3002\u6b22\u8fce\u626b\u63cf\u6587\u4e2d\u4e8c\u7ef4\u7801\u62a5\u540d\u52a0\u5165\u5b66\u4e60\u3002<\/span><\/strong><\/p>\n<p style=\"outline: 0px;clear: none;line-height: 2em;visibility: visible;\"><strong style=\"text-indent: 0em;letter-spacing: 0.544px;font-size: 15px;\"><span style=\"font-size: 13px;letter-spacing: 0.544px;text-decoration-style: solid;text-decoration-color: rgb(63, 63, 63);\"><br  \/><\/span><\/strong><\/p>\n<p style=\"outline: 0px;clear: none;line-height: 2em;visibility: visible;\"><strong style=\"text-indent: 0em;letter-spacing: 0.544px;font-size: 15px;\"><span style=\"font-size: 13px;letter-spacing: 0.544px;text-decoration-style: solid;text-decoration-color: rgb(63, 63, 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0.544px;text-align: right;font-size: 13px;color: rgb(0, 0, 0);visibility: visible;\"><\/strong><\/section>\n<\/section>\n<section powered-by=\"xiumi.us\" style=\"margin-top: 0pt;margin-bottom: 0pt;outline: 0px;letter-spacing: 0.544px;white-space: normal;color: rgb(73, 73, 73);line-height: 1.7;font-family: PingFangSC-light;background-color: rgb(255, 255, 255);text-align: right;visibility: visible;\">\n<p style=\"outline: 0px;visibility: visible;\"><br  \/><\/p>\n<\/section>\n<p style=\"margin-right: 8px;margin-left: 8px;white-space: normal;line-height: 1.75em;margin-bottom: 0px;\"><br  \/><\/p>\n<h3 style=\"margin-bottom: 0em;outline: 0px;white-space: normal;font-family: mp-quote, -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;letter-spacing: 0.544px;background-color: rgb(255, 255, 255);visibility: visible;\">\n<section powered-by=\"xiumi.us\" style=\"outline: 0px;letter-spacing: 0.544px;text-align: right;font-size: 13px;visibility: visible;\">\n<section powered-by=\"xiumi.us\" style=\"margin-top: 10px;margin-bottom: 10px;outline: 0px;letter-spacing: 0.544px;text-align: center;visibility: visible;\">\n<section style=\"outline: 0px;display: inline-block;vertical-align: middle;visibility: visible;\">\n<section style=\"margin-bottom: -2px;outline: 0px;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;visibility: visible;\">\n<section style=\"outline: 0px;float: left;width: 8px;height: 3px;background-color: rgb(33, 166, 210);line-height: 0;visibility: visible;\"><br style=\"outline: 0px;visibility: visible;\"  \/><\/section>\n<section style=\"outline: 0px;float: right;width: 8px;height: 3px;background-color: rgb(33, 166, 210);line-height: 0;visibility: visible;\"><br style=\"outline: 0px;visibility: visible;\"  \/><\/section>\n<section style=\"outline: 0px;clear: both;line-height: 0;visibility: visible;\">\n<section style=\"outline: 0px;line-height: 0;width: 0px;visibility: visible;\"><svg viewbox=\"0 0 1 1\" style=\"vertical-align: top;visibility: visible;\"><\/svg><\/section>\n<\/section>\n<\/section>\n<section style=\"padding-right: 10px;padding-left: 10px;outline: 0px;border-left: 3px solid rgb(33, 166, 210);border-right: 3px solid rgb(33, 166, 210);border-top-color: rgb(33, 166, 210);border-bottom-color: rgb(33, 166, 210);font-size: 16px;color: rgb(0, 0, 0);line-height: 1.4;visibility: visible;\">\n<p style=\"outline: 0px;visibility: visible;\"><strong style=\"outline: 0px;visibility: visible;\"><strong style=\"outline: 0px;text-align: left;color: rgb(33, 166, 210);letter-spacing: 0.544px;visibility: visible;\"><span style=\"outline: 0px;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;caret-color: rgb(89, 89, 89);visibility: visible;\">\u8d1f\u8d23\u4eba\u4ecb\u7ecd<\/span><\/strong><\/strong><\/p>\n<\/section>\n<section style=\"margin-top: -2px;outline: 0px;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;visibility: visible;\">\n<section style=\"outline: 0px;float: left;width: 8px;height: 3px;background-color: rgb(33, 166, 210);line-height: 0;visibility: visible;\"><br style=\"outline: 0px;visibility: visible;\"  \/><\/section>\n<section style=\"outline: 0px;float: right;width: 8px;height: 3px;background-color: rgb(33, 166, 210);line-height: 0;visibility: visible;\"><br style=\"outline: 0px;visibility: visible;\"  \/><\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/h3>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;outline: 0px;white-space: normal;line-height: 1.75em;\"><br  \/><\/section>\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-height=\"233\" data-ratio=\"1.2459893048128343\"  data-type=\"png\" data-w=\"187\" data-width=\"187\" src=\"\/wp-content\/uploads\/2022\/12\/wxsync-2022-12-944d5a44335dbfc6a258e62c79cb6b13.png\"  \/><\/section>\n<p style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;margin-bottom: 8px;\"><strong><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u9ec4\u6d77\u5e73<\/span><\/strong><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\uff0c\u4e2d\u5c71\u5927\u5b66\u7269\u7406\u5b66\u9662\u6559\u6388\u3002\u672c\u79d1\u6bd5\u4e1a\u4e8e\u4e2d\u5c71\u5927\u5b66\u7406\u5de5\u5b66\u9662\uff0c\u535a\u58eb\u6bd5\u4e1a\u4e8e\u4e2d\u56fd\u79d1\u5b66\u9662\u7406\u8bba\u7269\u7406\u7814\u7a76\u6240\uff0c\u968f\u540e\u5728\u9999\u6e2f\u79d1\u6280\u5927\u5b66\u7269\u7406\u7cfb\u3001\u4e1c\u4eac\u5de5\u4e1a\u5927\u5b66\u8ba1\u7b97\u667a\u80fd\u7cfb &nbsp;(2012\u5e74\u83b7\u65e5\u672c\u5b66\u672f\u632f\u5174\u4f1a\u8d44\u52a9) \u4ee5\u53ca\u65e5\u672c\u7406\u5316\u5b66\u7814\u7a76\u6240 (RIKEN) \u8111\u79d1\u5b66\u4e2d\u5fc3\u4ece\u4e8b\u7edf\u8ba1\u7269\u7406\u4e0e\u673a\u5668\u5b66\u4e60\u3001 &nbsp;\u795e\u7ecf\u8ba1\u7b97\u4ea4\u53c9\u7684\u57fa\u7840\u7406\u8bba\u7814\u7a76\uff0c2017\u5e74\u56e0\u5728\u65e0\u76d1\u7763\u5b66\u4e60\u65b9\u9762\u7684\u7814\u7a76\u83b7\u5f97 RIKEN &nbsp;\u6770\u51fa\u7814\u7a76\u5956\u3002\u4e8e2018\u5e74\u5165\u9009\u4e2d\u5c71\u5927\u5b66\u767e\u4eba\u8ba1\u5212\uff0c\u5728\u7269\u7406\u5b66\u9662\u7ec4\u5efa\u4e86\u201c\u7269\u7406\u3001\u673a\u5668\u4e0e\u667a\u80fd\u201d &nbsp;\uff08PMI\uff09\u7814\u7a76\u5c0f\u7ec4\uff0c\u4e13\u6ce8\u4e8e\u5404\u79cd\u795e\u7ecf\u8ba1\u7b97\u7684\u7406\u8bba\u57fa\u7840\uff0c\u957f\u671f\u76ee\u6807\u662f\u4f7f\u7528\u57fa\u4e8e\u7269\u7406\u7684\u8fd1\u4f3c\u6765\u63ed\u793a\u673a\u5668\u53ca\u5927\u8111\u667a\u80fd\u7684\u57fa\u672c\u539f\u7406\u3002\u66fe\u4e3b\u6301\u56fd\u5bb6\u81ea\u7136\u79d1\u5b66\u57fa\u91d1\u9752\u5e74\u57fa\u91d1\u3001\u4f18\u79c0\u9752\u5e74\u57fa\u91d1\u7b49\u56fd\u5bb6\u7ea7\u9879\u76ee\u3002<\/span><\/p>\n<section style=\"margin-left: 8px;margin-right: 8px;margin-bottom: 0px;line-height: 1.75em;text-align: left;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">PMI Lab\uff1ahttps:\/\/www.labxing.com\/hphuang2018<\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;margin-bottom: 0px;line-height: 1.75em;text-align: left;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\"><br  \/><\/span><\/section>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;white-space: normal;line-height: 1.75em;\"><br  \/><\/p>\n<h3 style=\"margin-bottom: 0em;outline: 0px;white-space: normal;font-family: mp-quote, -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;letter-spacing: 0.544px;background-color: rgb(255, 255, 255);visibility: visible;\">\n<section powered-by=\"xiumi.us\" style=\"outline: 0px;letter-spacing: 0.544px;text-align: right;font-size: 13px;visibility: visible;\">\n<section powered-by=\"xiumi.us\" style=\"margin-top: 10px;margin-bottom: 10px;outline: 0px;letter-spacing: 0.544px;text-align: center;visibility: visible;\">\n<section style=\"outline: 0px;display: inline-block;vertical-align: middle;visibility: visible;\">\n<section style=\"margin-bottom: -2px;outline: 0px;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;visibility: visible;\">\n<section style=\"outline: 0px;float: left;width: 8px;height: 3px;background-color: rgb(33, 166, 210);line-height: 0;visibility: visible;\"><br style=\"outline: 0px;visibility: visible;\"  \/><\/section>\n<section style=\"outline: 0px;float: right;width: 8px;height: 3px;background-color: rgb(33, 166, 210);line-height: 0;visibility: visible;\"><br style=\"outline: 0px;visibility: visible;\"  \/><\/section>\n<section style=\"outline: 0px;clear: both;line-height: 0;visibility: visible;\">\n<section style=\"outline: 0px;line-height: 0;width: 0px;visibility: visible;\"><svg viewbox=\"0 0 1 1\" style=\"vertical-align: top;visibility: visible;\"><\/svg><\/section>\n<\/section>\n<\/section>\n<section style=\"padding-right: 10px;padding-left: 10px;outline: 0px;border-left: 3px solid rgb(33, 166, 210);border-right: 3px solid rgb(33, 166, 210);border-top-color: rgb(33, 166, 210);border-bottom-color: rgb(33, 166, 210);font-size: 16px;color: rgb(0, 0, 0);line-height: 1.4;visibility: visible;\">\n<p style=\"outline: 0px;visibility: visible;\"><strong style=\"outline: 0px;visibility: visible;\"><strong style=\"outline: 0px;text-align: left;color: rgb(33, 166, 210);letter-spacing: 0.544px;visibility: visible;\"><span style=\"outline: 0px;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;caret-color: rgb(89, 89, 89);visibility: visible;\">\u672c\u5b63\u8bfe\u7a0b\u56de\u987e<\/span><\/strong><\/strong><\/p>\n<\/section>\n<section style=\"margin-top: -2px;outline: 0px;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;visibility: visible;\">\n<section style=\"outline: 0px;float: left;width: 8px;height: 3px;background-color: rgb(33, 166, 210);line-height: 0;visibility: visible;\"><br style=\"outline: 0px;visibility: visible;\"  \/><\/section>\n<section style=\"outline: 0px;float: right;width: 8px;height: 3px;background-color: rgb(33, 166, 210);line-height: 0;visibility: visible;\"><br style=\"outline: 0px;visibility: visible;\"  \/><\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/h3>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;outline: 0px;white-space: normal;line-height: 1.75em;\"><br  \/><\/section>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\"><strong>\u7b2c1\u8bfe\u7eea\u8bba<\/strong>\uff0c\u5bf9\u8bfe\u7a0b\u8fdb\u884c\u6982\u89c8\u6027\u4ecb\u7ecd\u3002\uff08\u5bf9\u5e94\u4e66\u7c4d\u7b2c\u4e00\u7ae0\uff09<\/span><\/p>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\"><br  \/><\/span><\/p>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\"><strong>\u7b2c2\u30013\u8bfe\u81ea\u65cb\u73bb\u7483\u6a21\u578b\u7b80\u4ecb\u548c\u7a7a\u8154\u6cd5<\/strong>\uff0c\u5305\u62ec\u4e24\u90e8\u5206\u5185\u5bb9\uff0c\u7b2c\u4e00\u90e8\u5206\u4f1a\u5bf9\u81ea\u65cb\u73bb\u7483\u7cfb\u7edf\u8fdb\u884c\u4e00\u4e2a\u7b80\u5355\u7684\u4ecb\u7ecd\uff0c\u5e2e\u52a9\u6ca1\u6709\u7edf\u8ba1\u7269\u7406\u80cc\u666f\u7684\u670b\u53cb\u5feb\u901f\u4e86\u89e3\u81ea\u65cb\u73bb\u7483\u6a21\u578b\u7684\u57fa\u672c\u5b9a\u4e49\u3001\u89e3\u51b3\u95ee\u9898\u7684\u57fa\u672c\u6846\u67b6\u3001\u548c\u4e0e\u73b0\u5b9e\u751f\u6d3b\u4e2d\u95ee\u9898\u7684\u5bf9\u5e94\u3002<strong>\u81ea\u65cb\u73bb\u7483\u6a21\u578b\u662f\u4ece\u7edf\u8ba1\u7269\u7406\u7684\u89d2\u5ea6\u7406\u89e3\u795e\u7ecf\u7f51\u7edc\u6700\u4e3a\u91cd\u8981\u7684\u6865\u6881\u4e4b\u4e00\uff0c\u540c\u65f6\u4e5f\u662f\u73b0\u4ee3\u795e\u7ecf\u7f51\u7edc\u7684\u8d77\u6e90<\/strong>\uff0c\u5728\u540e\u7eed\u7684\u8bfe\u7a0b\u4e2d\u4f1a\u5bf9\u81ea\u65cb\u73bb\u7483\u8fdb\u884c\u66f4\u8be6\u5c3d\u7684\u4ecb\u7ecd\u3002\u7b2c\u4e8c\u90e8\u5206\u4f1a\u4ee5\u4e00\u4e2a\u4fe1\u606f\u7f16\u7801\u4e2d\u7684\u4e00\u4e2a\u4f8b\u5b50\u8bb2\u89e3\u7a7a\u8154\u65b9\u6cd5\u7684\u57fa\u672c\u601d\u60f3\uff0c\u5177\u4f53\u8fc7\u7a0b\u548c\u7a7a\u8154\u65b9\u6cd5\u4e0e\u6d88\u606f\u4f20\u9012\u7b97\u6cd5\u7684\u5173\u7cfb\u53ca\u5176\u5728\u8ba1\u7b97\u795e\u7ecf\u79d1\u5b66\u4e2d\u7684\u5e94\u7528\u3002<strong>\u7a7a\u8154\u65b9\u6cd5\u662f\u590d\u6742\u7cfb\u7edf\u7814\u7a76\u4e2d\u4e00\u79cd\u5f88\u91cd\u8981\u7684\u65b9\u6cd5\uff0c\u80fd\u8ba9\u6211\u4eec\u80fd\u4ee5\u8f83\u4f4e\u7684\u8ba1\u7b97\u4ee3\u4ef7\u5f97\u5230\u7cfb\u7edf\u7684\u81ea\u7531\u80fd\uff0c\u4ece\u800c\u63a8\u65ad\u51fa\u7cfb\u7edf\u7684\u5404\u79cd\u6027\u8d28\uff0c\u5728\u4f18\u5316\u7ec4\u5408\uff0c\u4fe1\u606f\u7f16\u7801\u548c\u795e\u7ecf\u7f51\u7edc\u4e2d\u90fd\u6709\u5f88\u591a\u5e94\u7528<\/strong>\u3002\u8fd9\u8282\u8bfe\u4e3b\u8981\u4e86\u89e3\u5b83\u7684\u57fa\u672c\u601d\u60f3\uff0c\u5c06\u5728\u540e\u7eed\u7684\u8bfe\u7a0b\u91cc\u770b\u5230\u5b83\u5728\u795e\u7ecf\u7f51\u7edc\u4e2d\u7684\u5e94\u7528\u3002\uff08\u5bf9\u5e94\u4e66\u7c4d\u7b2c\u4e8c\u7ae0\uff09<\/span><\/p>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\"><br  \/><\/span><\/p>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\"><strong>\u7b2c4\u8bfe\u53d8\u5206\u5e73\u5747\u573a\u7406\u8bba\u4e0e\u4fe1\u5ff5\u4f20\u64ad<\/strong>\uff0c\u4ecb\u7ecd\u4e86\u53d8\u5206\u6cd5\u53ca\u6d88\u606f\u4f20\u9012\u7b97\u6cd5\u3002\u6784\u5efa\u53d8\u5206\u81ea\u7531\u80fd\u5e76\u5f15\u5165\u5e73\u5747\u573a\u8fd1\u4f3c\u6216Bethe\u8fd1\u4f3c\u6c42\u89e3\u4f53\u7cfb\u7684\u81ea\u7531\u80fd\u3002\u5728\u8003\u8651Bethe\u8fd1\u4f3c\u65f6\uff0c\u6211\u4eec\u4f1a\u5f97\u5230<strong>\u8ba1\u7b97\u673a\u79d1\u5b66\u4e2d\u7ecf\u5178\u7684\u6d88\u606f\u4f20\u9012\u7b97\u6cd5\uff0c\u901a\u8fc7\u8fdb\u4e00\u6b65\u7684\u6574\u7406\u53d1\u73b0\u5176\u6070\u597d\u7b49\u4ef7\u4e8e\u7edf\u8ba1\u7269\u7406\u4e2d\u7684\u7a7a\u8154\u65b9\u6cd5<\/strong>\u3002\u5728\u540e\u7eed\u7684\u8bfe\u7a0b\u4e2d\uff0c\u91c7\u7528\u7a7a\u8154\u6cd5\u6c42\u89e3\u81ea\u7531\u80fd\u65f6\u5f80\u5f80\u4f1a\u5148\u5199\u51fa\u6d88\u606f\u4f20\u9012\u65b9\u7a0b\u3002\u56e0\u6b64\uff0c\u6211\u4eec\u5c06\u901a\u8fc7\u7b80\u5355\u7684\u4f8b\u5b50\u4e86\u89e3\u6d88\u606f\u4f20\u9012\u7b97\u6cd5\u4e2d\u6bcf\u4e2a\u53d8\u91cf\u7684\u7269\u7406\u542b\u4e49\uff0c\u5e76\u603b\u7ed3<strong>\u5982\u4f55\u5feb\u901f\u4ece\u6ce2\u5c14\u5179\u66fc\u5206\u5e03\u5f97\u5230\u5176\u5bf9\u5e94\u7684\u6d88\u606f\u4f20\u9012\u65b9\u7a0b<\/strong>\u3002\u6700\u540e\uff0c\u4f1a\u7b80\u8981\u4ecb\u7ecd\u9006\u4f0a\u8f9b\u95ee\u9898\u53ca\u51e0\u79cd\u9006\u4f0a\u8f9b\u7b97\u6cd5\u3002\uff08\u5bf9\u5e94\u4e66\u7c4d\u7b2c\u4e09\u7ae0\uff09<\/span><\/p>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\"><br  \/><\/span><\/p>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\"><strong>\u7b2c5\u30016\u8bfe\u8499\u7279\u5361\u7f57\u65b9\u6cd5<\/strong>\uff0c\u57282-4\u8bfe\u4e2d\u4ecb\u7ecd\u4e86\u7a7a\u8154\u65b9\u6cd5\u548c\u53d8\u5206\u81ea\u7531\u80fd\u7684\u529e\u6cd5\u6765\u4f30\u8ba1\u591a\u4f53\u76f8\u4e92\u4f5c\u7528\u7684\u81ea\u7531\u80fd\uff0c\u8fdb\u800c\u5f97\u5230\u5176\u5b8f\u89c2\u6027\u8d28\uff0c\u7136\u800c\u5e73\u8861\u6001\u7269\u7406\u4e2d\u7684\u5927\u90e8\u5206\u7cfb\u7edf\u662f\u65e0\u6cd5\u89e3\u6790\u7684\uff0c\u56e0\u6b64\u6211\u4eec\u9700\u8981\u6570\u503c\u6280\u5de7\u6765\u4f30\u8ba1\u5b83\u4eec\u7684\u6027\u8d28\u3002<strong>\u4e00\u79cd\u5e38\u7528\u7684\u6570\u503c\u6280\u5de7\u662f\u8499\u7279\u5361\u7f57\u91c7\u6837\u65b9\u6cd5<\/strong>\uff0c\u5305\u62ec\u5b83\u7684\u51e0\u79cd\u53d8\u4f53\u3002\u4e8b\u5b9e\u4e0a\uff0c\u9664\u4e86\u5728\u7269\u7406\u9886\u57df\uff0c\u8499\u7279\u5361\u7f57\u91c7\u6837\u65b9\u6cd5\u5728\u673a\u5668\u5b66\u4e60\u9886\u57df\u4e2d\u4e5f\u88ab\u5e7f\u6cdb\u4f7f\u7528\u3002\u4f8b\u5982\uff0c\u73bb\u5c14\u5179\u66fc\u673a\u4e2d\u7684\u5409\u5e03\u65af\u62bd\u6837\u5c31\u662f\u5728\u7ecf\u5178\u7684\u8499\u7279\u5361\u7f57\u65b9\u6cd5\u7684\u5e2e\u52a9\u4e0b\u8fdb\u884c\u7684\u3002\u672c\u8bb2\u8be6\u7ec6\u4ecb\u7ecd<strong>\u91c7\u6837\u65b9\u6cd5\u7684\u57fa\u672c\u77e5\u8bc6\u53ca\u5176\u5728\u6807\u51c6\u7269\u7406\u6a21\u578b\u4e2d\u7684\u5e94\u7528<\/strong>\u3002\uff08\u5bf9\u5e94\u4e66\u7c4d\u7b2c\u56db\u7ae0\uff09<\/span><\/p>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\"><br  \/><\/span><\/p>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\"><strong>\u7b2c7\u8bfe\u9ad8\u6e29\u5c55\u5f00<\/strong>\uff0c\u4ecb\u7ecd\u4e86\u57fa\u4e8e\u53d8\u5206\u65b9\u6cd5\u7684\u9ad8\u6e29\u5c55\u5f00\u6280\u672f\uff0c\u5e76\u5b66\u4e60\u5982\u4f55\u901a\u8fc7\u9ad8\u6e29\u5c55\u5f00\u5f97\u5230TAP\u65b9\u7a0b\u3002<strong>TAP\u65b9\u7a0b\u662f\u81ea\u65cb\u73bb\u7483\u7406\u8bba\u4e2d\u6700\u4e3a\u91cd\u8981\u7684\u65b9\u7a0b\u4e4b\u4e00\uff0c\u5728\u63a8\u65ad\u548c\u5b66\u4e60\u95ee\u9898\u4e2d\u6709\u7740\u5e7f\u6cdb\u7684\u5e94\u7528<\/strong>\u3002\uff08\u5bf9\u5e94\u4e66\u7c4d\u7b2c\u4e94\u7ae0\uff09<\/span><\/p>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\"><br  \/><\/span><\/p>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\"><strong>\u7b2c8\u30019\u8bfe\u897f\u68ee\u7ebf\u3001\u8d1d\u53f6\u65af\u6700\u4f18\u4f30\u8ba1\u4e0e\u968f\u673a\u80fd\u91cf\u6a21\u578b<\/strong>\uff0c\u4ecb\u7ecd\u4e86\u81ea\u65cb\u73bb\u7483\u7406\u8bba\u7684\u4e24\u4e2a\u7cbe\u786e\u53ef\u89e3\u6a21\u578b\uff1a\u897f\u68ee\u6a21\u578b\u548c\u968f\u673a\u80fd\u91cf\u6a21\u578b\u3002<strong>\u8fd9\u4e24\u4e2a\u6a21\u578b\u5728\u7406\u89e3\u73bb\u7483\u6001\u626e\u6f14\u91cd\u8981\u7684\u89d2\u8272\uff0c\u800c\u4e14\u5bf9\u4e8e\u8d1d\u53f6\u65af\u63a8\u65ad\uff08\u5f53\u524d\u6df1\u5ea6\u5b66\u4e60\u7406\u8bba\u7684\u91cd\u8981\u5206\u652f\uff09\u548c\u6df1\u5ea6\u5b66\u4e60\u80fd\u91cf\u666f\u89c2\u7814\u7a76\u4ea6\u6709\u6df1\u523b\u7684\u542f\u53d1<\/strong>\u3002\uff08\u5bf9\u5e94\u4e66\u7c4d\u7b2c\u516d\u3001\u4e03\u7ae0\uff09<\/span><\/p>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\"><br  \/><\/span><\/p>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\"><strong>\u7b2c10\u300111\u300112\u8bfeHopfield\u6a21\u578b\u7684\u7edf\u8ba1\u7269\u7406\uff0cHopfield \u6a21\u578b\u53ef\u4ee5\u5efa\u6a21\u8054\u60f3\u8bb0\u5fc6\u8fc7\u7a0b\uff0c\u56e0\u6b64\u5bf9\u8ba1\u7b97\u795e\u7ecf\u79d1\u5b66\uff0c\u4e43\u81f3\u4e8e\u73b0\u4ee3\u673a\u5668\u5b66\u4e60\u90fd\u6709\u5f88\u91cd\u8981\u7684\u610f\u4e49\u3002<\/strong>\u4ecb\u7ecd\u4e86Hopfield\u6a21\u578b\u7684\u590d\u672c\u65b9\u6cd5\u8ba1\u7b97\uff0c\u978d\u70b9\u5206\u6790\uff0cHopfield \u6a21\u578b\u7684\u76f8\u56fe\uff0c\u4ee5\u53ca\u65b0\u6a21\u578b\u4e2d\u53d1\u73b0\u7684\u65b0\u7269\u7406\u3002\uff08\u5bf9\u5e94\u4e66\u7c4d\u7b2c\u516b\u7ae0\uff09<\/span><\/p>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\"><br  \/><\/span><\/p>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;text-align: center;\"><img class=\"rich_pages wxw-img\" data-height=\"1080\" data-ratio=\"1.1477151965993624\"  data-type=\"png\" data-w=\"941\" data-width=\"941\" src=\"\/wp-content\/uploads\/2022\/12\/wxsync-2022-12-1114812041cd2c3e00710c5394e770a2.png\"  \/><\/p>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"color: rgb(136, 136, 136);font-size: 13px;\">\u8bf4\u660e\uff1a\u8bfe\u7a0b\u987a\u5e8f\u6309\u7167\u5185\u5bb9\u8fdb\u884c\u4e86\u8c03\u6574\u3002\u201c\u897f\u68ee\u7ebf\u3001\u8d1d\u53f6\u65af\u6700\u4f18\u4f30\u8ba1\u4e0e\u968f\u673a\u80fd\u91cf\u6a21\u578b\u201d\u8bfe\u7a0b\u5185\u5bb9\u56e0\u75ab\u60c5\u8c03\u6574\u4e86\u5206\u4eab\u987a\u5e8f\uff0c\u73b0\u5728\u8c03\u6574\u4e3a\u5408\u7406\u7684\u5185\u5bb9\u987a\u5e8f\u3002<\/span><\/p>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><br  \/><\/p>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"color: rgb(33, 166, 210);\"><strong><span style=\"color: rgb(33, 166, 210);font-size: 15px;\">\u5f80\u671f\u56de\u987e<\/span><\/strong><\/span><\/p>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><a href=\"https:\/\/mp.weixin.qq.com\/s?__biz=MzI0MjY5NTM2MQ==&amp;mid=2247506134&amp;idx=1&amp;sn=54254605dab9320714a4b0d67c04ba23&amp;scene=21#wechat_redirect\" data-linktype=\"2\" style=\"font-size: 15px;color: rgb(0, 122, 170);text-decoration: underline;\"><span style=\"color: rgb(0, 122, 170);\">\u7b2c\u4e8c\u8bb2\uff1a\u81ea\u65cb\u73bb\u7483\u6a21\u578b\u7b80\u4ecb\u548c\u7a7a\u8154\u6cd5<\/span><\/a><\/p>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><a href=\"https:\/\/mp.weixin.qq.com\/s?__biz=MzI0MjY5NTM2MQ==&amp;mid=2247506173&amp;idx=1&amp;sn=950d650ead6c5485aef020a8d33b9679&amp;scene=21#wechat_redirect\" data-linktype=\"2\" style=\"font-size: 15px;color: rgb(0, 122, 170);text-decoration: underline;\"><span style=\"color: rgb(0, 122, 170);\">\u7b2c\u4e09\u8bb2\uff1a\u81ea\u65cb\u73bb\u7483\u6a21\u578b\u7b80\u4ecb\u548c\u7a7a\u8154\u6cd5\u4e0b<\/span><\/a><\/p>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><a href=\"https:\/\/mp.weixin.qq.com\/s?__biz=MzI0MjY5NTM2MQ==&amp;mid=2247506190&amp;idx=2&amp;sn=8154741a618b3b05b05d94d98af51a33&amp;scene=21#wechat_redirect\" data-linktype=\"2\" style=\"font-size: 15px;color: rgb(0, 122, 170);text-decoration: underline;\"><span style=\"color: rgb(0, 122, 170);\">\u7b2c\u56db\u8bb2\uff1a\u53d8\u5206\u5e73\u5747\u573a\u7406\u8bba\u4e0e\u4fe1\u5ff5\u4f20\u64ad<\/span><\/a><\/p>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><a href=\"https:\/\/mp.weixin.qq.com\/s?__biz=MzI0MjY5NTM2MQ==&amp;mid=2247506365&amp;idx=1&amp;sn=c4e8b01384a91aa0f6441fa45562a6b4&amp;scene=21#wechat_redirect\" data-linktype=\"2\" style=\"font-size: 15px;color: rgb(0, 122, 170);text-decoration: underline;\"><span style=\"color: rgb(0, 122, 170);\">\u7b2c\u4e94\u8bb2\uff1a\u8499\u7279\u5361\u7f57\u65b9\u6cd5\uff08\u4e00\uff09<\/span><\/a><\/p>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><a href=\"https:\/\/mp.weixin.qq.com\/s?__biz=MzI0MjY5NTM2MQ==&amp;mid=2247506598&amp;idx=1&amp;sn=4bf4024e467d89099836b32deef0d9cf&amp;scene=21#wechat_redirect\" data-linktype=\"2\" style=\"font-size: 15px;color: rgb(0, 122, 170);text-decoration: underline;\"><span style=\"color: rgb(0, 122, 170);\">\u7b2c\u516d\u8bb2\uff1a\u8499\u7279\u5361\u7f57\u65b9\u6cd5\uff08\u4e8c\uff09<\/span><\/a><\/p>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><a href=\"https:\/\/mp.weixin.qq.com\/s?__biz=MzI0MjY5NTM2MQ==&amp;mid=2247506614&amp;idx=1&amp;sn=6d7a7b8357eca6d40aacdd09ef51c420&amp;scene=21#wechat_redirect\" data-linktype=\"2\" style=\"font-size: 15px;color: rgb(0, 122, 170);text-decoration: underline;\"><span style=\"color: rgb(0, 122, 170);\">\u7b2c\u4e03\u8bb2\uff1a\u9ad8\u6e29\u5c55\u5f00<\/span><\/a><\/p>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><a href=\"https:\/\/mp.weixin.qq.com\/s?__biz=MzI0MjY5NTM2MQ==&amp;mid=2247506619&amp;idx=1&amp;sn=a28525b43c29d53aceb15d4f9c1d45dc&amp;scene=21#wechat_redirect\" data-linktype=\"2\" style=\"font-size: 15px;color: rgb(0, 122, 170);text-decoration: underline;\"><span style=\"color: rgb(0, 122, 170);\">\u7b2c\u516b\u8bb2\uff1aHopfield \u6a21\u578b\u7684\u7edf\u8ba1\u7269\u7406\uff08\u4e00\uff09<\/span><\/a><\/p>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><a href=\"https:\/\/mp.weixin.qq.com\/s?__biz=MzI0MjY5NTM2MQ==&amp;mid=2247506622&amp;idx=1&amp;sn=39d29a9e94b2d60ca97bbfd23677a2de&amp;scene=21#wechat_redirect\" data-linktype=\"2\" style=\"font-size: 15px;color: rgb(0, 122, 170);text-decoration: underline;\"><span style=\"color: rgb(0, 122, 170);\">\u7b2c\u4e5d\u8bb2\uff1aHopfield \u6a21\u578b\u7684\u7edf\u8ba1\u7269\u7406\uff08\u4e8c\uff09<\/span><\/a><\/p>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><a href=\"https:\/\/mp.weixin.qq.com\/s?__biz=MzI0MjY5NTM2MQ==&amp;mid=2247506635&amp;idx=1&amp;sn=c4183ac9b19c2ba8b68c7b483d1102e2&amp;scene=21#wechat_redirect\" data-linktype=\"2\" style=\"font-size: 15px;color: rgb(0, 122, 170);text-decoration: underline;\"><span style=\"color: rgb(0, 122, 170);\">\u7b2c\u5341\u8bb2\uff1aHopfield \u6a21\u578b\u7684\u7edf\u8ba1\u7269\u7406\uff08\u4e09\uff09<\/span><\/a><\/p>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><a href=\"https:\/\/mp.weixin.qq.com\/s?__biz=MzI0MjY5NTM2MQ==&amp;mid=2247506638&amp;idx=1&amp;sn=192472f457e653d31f9c8193c0c2ff2a&amp;scene=21#wechat_redirect\" data-linktype=\"2\" style=\"font-size: 15px;color: rgb(0, 122, 170);text-decoration: underline;\"><span style=\"color: rgb(0, 122, 170);\">\u7b2c\u5341\u4e00\u8bb2\uff1a\u897f\u68ee\u7ebf\u3001\u8d1d\u53f6\u65af\u6700\u4f18\u4f30\u8ba1\u4e0e\u968f\u673a\u80fd\u91cf\u6a21\u578b\uff08\u4e00\uff09<\/span><\/a><\/p>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><a href=\"https:\/\/mp.weixin.qq.com\/s?__biz=MzI0MjY5NTM2MQ==&amp;mid=2247506646&amp;idx=1&amp;sn=181a04ddec91c204b06923c98ebb1fad&amp;scene=21#wechat_redirect\" data-linktype=\"2\" style=\"font-size: 15px;text-decoration: underline;\"><span style=\"font-size: 15px;color: rgb(0, 122, 170);\">\u7b2c\u5341\u4e8c\u8bb2\uff1a\u897f\u68ee\u7ebf\u3001\u8d1d\u53f6\u65af\u6700\u4f18\u4f30\u8ba1\u4e0e\u968f\u673a\u80fd\u91cf\u6a21\u578b\uff08\u4e8c\uff09<\/span><\/a><\/p>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><br  \/><\/p>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\"><strong>\u4e66\u7c4d\u76ee\u5f55\uff08\u8be6\u7248\uff09\uff1a<\/strong><\/span><\/p>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;text-align: left;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">Chapter 1: &nbsp;Introduction<\/span><\/p>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;text-align: left;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">Chapter 2: &nbsp;Spin Glass Models and Cavity Method<\/span><\/p>\n<ul start=\"1\" class=\"list-paddingleft-1\" style=\"margin-right: 8px;margin-left: 8px;width: 577.422px;\">\n<li style=\"white-space: pre-wrap;text-align: left;font-size: 15px;color: rgb(63, 63, 63);\">\n<section style=\"line-height: 1.75em;text-align: left;\">2.1 Multi-spin Interaction Models<\/section>\n<\/li>\n<li style=\"white-space: pre-wrap;text-align: left;font-size: 15px;color: rgb(63, 63, 63);\">\n<section style=\"line-height: 1.75em;text-align: left;\">2.2 Cavity Method<\/section>\n<\/li>\n<li style=\"white-space: pre-wrap;text-align: left;font-size: 15px;color: rgb(63, 63, 63);\">\n<section style=\"line-height: 1.75em;text-align: left;\">2.3 From Cavity Method to Message Passing Algorithms<\/section>\n<\/li>\n<\/ul>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;text-align: left;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">Chapter 3: &nbsp;Variational Mean-Field Theory and Belief Propagation<\/span><\/p>\n<ul start=\"1\" class=\"list-paddingleft-1\" style=\"margin-right: 8px;margin-left: 8px;width: 577.422px;\">\n<li style=\"white-space: pre-wrap;text-align: left;font-size: 15px;color: rgb(63, 63, 63);\">\n<section style=\"line-height: 1.75em;text-align: left;\">3.1 Variational Method<\/section>\n<\/li>\n<li style=\"white-space: pre-wrap;text-align: left;font-size: 15px;color: rgb(63, 63, 63);\">\n<section style=\"line-height: 1.75em;text-align: left;\">3.2 Variational Free Energy<\/section>\n<\/li>\n<li style=\"white-space: pre-wrap;text-align: left;font-size: 15px;color: rgb(63, 63, 63);\">\n<section style=\"line-height: 1.75em;text-align: left;\">3.3 Mean-Field Inverse Ising Problem<\/section>\n<\/li>\n<\/ul>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;text-align: left;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">Chapter 4: &nbsp;Monte Carlo Simulation Methods<\/span><\/p>\n<ul start=\"1\" class=\"list-paddingleft-1\" style=\"margin-right: 8px;margin-left: 8px;width: 577.422px;\">\n<li style=\"white-space: pre-wrap;text-align: left;font-size: 15px;color: rgb(63, 63, 63);\">\n<section style=\"line-height: 1.75em;text-align: left;\">4.1 Monte Carlo Method<\/section>\n<\/li>\n<li style=\"white-space: pre-wrap;text-align: left;font-size: 15px;color: rgb(63, 63, 63);\">\n<section style=\"line-height: 1.75em;text-align: left;\">4.2 Importance Sampling<\/section>\n<\/li>\n<li style=\"white-space: pre-wrap;text-align: left;font-size: 15px;color: rgb(63, 63, 63);\">\n<section style=\"line-height: 1.75em;text-align: left;\">4.3 Markov Chain Sampling<\/section>\n<\/li>\n<li style=\"white-space: pre-wrap;text-align: left;font-size: 15px;color: rgb(63, 63, 63);\">\n<section style=\"line-height: 1.75em;text-align: left;\">4.4 Monte Carlo Simulations in Statistical Physics<\/section>\n<\/li>\n<\/ul>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;text-align: left;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">Chapter 5: &nbsp;High-Temperature Expansion<\/span><\/p>\n<ul start=\"1\" class=\"list-paddingleft-1\" style=\"margin-right: 8px;margin-left: 8px;width: 577.422px;\">\n<li style=\"white-space: pre-wrap;text-align: left;font-size: 15px;color: rgb(63, 63, 63);\">\n<section style=\"line-height: 1.75em;text-align: left;\">5.1 Statistical Physics Setting<\/section>\n<\/li>\n<li style=\"white-space: pre-wrap;text-align: left;font-size: 15px;color: rgb(63, 63, 63);\">\n<section style=\"line-height: 1.75em;text-align: left;\">5.2 High-Temperature Expansion<\/section>\n<\/li>\n<li style=\"white-space: pre-wrap;text-align: left;font-size: 15px;color: rgb(63, 63, 63);\">\n<section style=\"line-height: 1.75em;text-align: left;\">5.3 Properties of the TAP Equation<\/section>\n<\/li>\n<\/ul>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;text-align: left;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">Chapter 6: &nbsp;Nishimori Line<\/span><\/p>\n<ul start=\"1\" class=\"list-paddingleft-1\" style=\"margin-right: 8px;margin-left: 8px;width: 577.422px;\">\n<li style=\"white-space: pre-wrap;text-align: left;font-size: 15px;color: rgb(63, 63, 63);\">\n<section style=\"line-height: 1.75em;text-align: left;\">6.1 Model Setting<\/section>\n<\/li>\n<li style=\"white-space: pre-wrap;text-align: left;font-size: 15px;color: rgb(63, 63, 63);\">\n<section style=\"line-height: 1.75em;text-align: left;\">6.2 Exact Result for Internal Energy<\/section>\n<\/li>\n<li style=\"white-space: pre-wrap;text-align: left;font-size: 15px;color: rgb(63, 63, 63);\">\n<section style=\"line-height: 1.75em;text-align: left;\">6.3 Proof of No RSB Effects on the Nishimori Line<\/section>\n<\/li>\n<\/ul>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;text-align: left;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">Chapter 7: &nbsp;Random Energy Model<\/span><\/p>\n<ul start=\"1\" class=\"list-paddingleft-1\" style=\"margin-right: 8px;margin-left: 8px;width: 577.422px;\">\n<li style=\"white-space: pre-wrap;text-align: left;font-size: 15px;color: rgb(63, 63, 63);\">\n<section style=\"line-height: 1.75em;text-align: left;\">7.1 Model Setting<\/section>\n<\/li>\n<li style=\"white-space: pre-wrap;text-align: left;font-size: 15px;color: rgb(63, 63, 63);\">\n<section style=\"line-height: 1.75em;text-align: left;\">7.2 Phase Diagram<\/section>\n<\/li>\n<\/ul>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;text-align: left;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">Chapter 8: &nbsp;Statistical Mechanical Theory of Hopfifield Model<\/span><\/p>\n<ul start=\"1\" class=\"list-paddingleft-1\" style=\"margin-right: 8px;margin-left: 8px;width: 577.422px;\">\n<li style=\"white-space: pre-wrap;text-align: left;font-size: 15px;color: rgb(63, 63, 63);\">\n<section style=\"line-height: 1.75em;text-align: left;\">8.1 Hopfifield Model<\/section>\n<\/li>\n<li style=\"white-space: pre-wrap;text-align: left;font-size: 15px;color: rgb(63, 63, 63);\">\n<section style=\"line-height: 1.75em;text-align: left;\">8.2 Replica Method<\/section>\n<\/li>\n<li style=\"white-space: pre-wrap;text-align: left;font-size: 15px;color: rgb(63, 63, 63);\">\n<section style=\"line-height: 1.75em;text-align: left;\">8.3 Phase Diagram<\/section>\n<\/li>\n<li style=\"white-space: pre-wrap;text-align: left;font-size: 15px;color: rgb(63, 63, 63);\">\n<section style=\"line-height: 1.75em;text-align: left;\">8.4 Hopfifield Model with Arbitrary Hebbian Length<\/section>\n<\/li>\n<\/ul>\n<section style=\"margin-bottom: 0px;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\"><br  \/><\/span><\/section>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;white-space: normal;line-height: 1.75em;\"><br  \/><\/p>\n<h3 style=\"margin-bottom: 0em;outline: 0px;white-space: normal;font-family: mp-quote, -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;letter-spacing: 0.544px;background-color: rgb(255, 255, 255);visibility: visible;\">\n<section powered-by=\"xiumi.us\" style=\"outline: 0px;letter-spacing: 0.544px;text-align: right;font-size: 13px;visibility: visible;\">\n<section powered-by=\"xiumi.us\" style=\"margin-top: 10px;margin-bottom: 10px;outline: 0px;letter-spacing: 0.544px;text-align: center;visibility: visible;\">\n<section style=\"outline: 0px;display: inline-block;vertical-align: middle;visibility: visible;\">\n<section style=\"margin-bottom: -2px;outline: 0px;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;visibility: visible;\">\n<section style=\"outline: 0px;float: left;width: 8px;height: 3px;background-color: rgb(33, 166, 210);line-height: 0;visibility: visible;\"><br style=\"outline: 0px;visibility: visible;\"  \/><\/section>\n<section style=\"outline: 0px;float: right;width: 8px;height: 3px;background-color: rgb(33, 166, 210);line-height: 0;visibility: visible;\"><br style=\"outline: 0px;visibility: visible;\"  \/><\/section>\n<section style=\"outline: 0px;clear: both;line-height: 0;visibility: visible;\">\n<section style=\"outline: 0px;line-height: 0;width: 0px;visibility: visible;\"><svg viewbox=\"0 0 1 1\" style=\"vertical-align: top;visibility: visible;\"><\/svg><\/section>\n<\/section>\n<\/section>\n<section style=\"padding-right: 10px;padding-left: 10px;outline: 0px;border-left: 3px solid rgb(33, 166, 210);border-right: 3px solid rgb(33, 166, 210);border-top-color: rgb(33, 166, 210);border-bottom-color: rgb(33, 166, 210);font-size: 16px;color: rgb(0, 0, 0);line-height: 1.4;visibility: visible;\">\n<p style=\"outline: 0px;visibility: visible;\"><strong style=\"outline: 0px;visibility: visible;\"><strong style=\"outline: 0px;text-align: left;color: rgb(33, 166, 210);letter-spacing: 0.544px;visibility: visible;\"><span style=\"outline: 0px;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;caret-color: rgb(89, 89, 89);visibility: visible;\">\u4e0b\u5b63\u5185\u5bb9\u9884\u544a<\/span><\/strong><\/strong><\/p>\n<\/section>\n<section style=\"margin-top: -2px;outline: 0px;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;visibility: visible;\">\n<section style=\"outline: 0px;float: left;width: 8px;height: 3px;background-color: rgb(33, 166, 210);line-height: 0;visibility: visible;\"><br style=\"outline: 0px;visibility: visible;\"  \/><\/section>\n<section style=\"outline: 0px;float: right;width: 8px;height: 3px;background-color: rgb(33, 166, 210);line-height: 0;visibility: visible;\"><br style=\"outline: 0px;visibility: visible;\"  \/><\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/h3>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;outline: 0px;white-space: normal;line-height: 1.75em;\"><br  \/><\/section>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u4e0b\u5b63\u5185\u5bb9\u5c06\u56f4\u7ed5\u4e66\u7c4d\u7b2c9\u7ae0-17\u7ae0\u8fdb\u884c\u4ecb\u7ecd\uff0c\u5728\u4e0b\u534a\u5b66\u671f\uff0c\u6211\u4eec\u5c06\u8bb2\u6388\u73b0\u4ee3\u795e\u7ecf\u7f51\u7edc\u7684\u524d\u6cbf\u7406\u8bba\uff0c\u8986\u76d6\u76d1\u7763\u5b66\u4e60\uff0c\u65e0\u76d1\u7763\u5b66\u4e60\uff0c\u6df1\u5ea6\u7f51\u7edc\u964d\u7ef4\u7406\u8bba\uff0c\u5faa\u73af\u795e\u7ecf\u7f51\u7edc\u7684\u52a8\u529b\u5b66\u5e73\u5747\u573a\u7406\u8bba\uff0c\u968f\u673a\u77e9\u9635\u7406\u8bba\u7b49\u3002\u6211\u4eec\u5c06\u5728\u5b66\u4e60\u7406\u8bba\u7684\u540c\u65f6\u7a7f\u63d2\u5404\u79cd\u5c0f\u9879\u76ee\u548c\u6587\u732e\u9605\u8bfb\uff0c\u5e2e\u52a9\u5b66\u751f\u5168\u65b9\u4f4d\u7684\u9e1f\u77b0\u795e\u7ecf\u7f51\u7edc\u7406\u8bba\u7814\u7a76\u7684\u5168\u8c8c\u3002<\/span><\/p>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\"><br  \/><\/span><\/p>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;text-align: left;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">Chapter 9: &nbsp;Replica Symmetry and Replica Symmetry Breaking<\/span><\/p>\n<ul start=\"1\" class=\"list-paddingleft-1\" style=\"margin-right: 8px;margin-left: 8px;width: 577.422px;\">\n<li style=\"white-space: pre-wrap;text-align: left;font-size: 15px;color: rgb(63, 63, 63);\">\n<section style=\"line-height: 1.75em;text-align: left;\">9.1 Generalized Free Energy and Complexity of States<\/section>\n<\/li>\n<li style=\"white-space: pre-wrap;text-align: left;font-size: 15px;color: rgb(63, 63, 63);\">\n<section style=\"line-height: 1.75em;text-align: left;\">9.2 Applications to Constraint Satisfaction Problems<\/section>\n<\/li>\n<li style=\"white-space: pre-wrap;text-align: left;font-size: 15px;color: rgb(63, 63, 63);\">\n<section style=\"line-height: 1.75em;text-align: left;\">9.3 More Steps of Replica Symmetry Breaking<\/section>\n<\/li>\n<\/ul>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;text-align: left;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">Chapter 10: &nbsp;Statistical Mechanics of Restricted Boltzmann Machine<\/span><\/p>\n<ul start=\"1\" class=\"list-paddingleft-1\" style=\"margin-right: 8px;margin-left: 8px;width: 577.422px;\">\n<li style=\"white-space: pre-wrap;text-align: left;font-size: 15px;color: rgb(63, 63, 63);\">\n<section style=\"line-height: 1.75em;text-align: left;\">10.1 Boltzmann Machine<\/section>\n<\/li>\n<li style=\"white-space: pre-wrap;text-align: left;font-size: 15px;color: rgb(63, 63, 63);\">\n<section style=\"line-height: 1.75em;text-align: left;\">10.2 Restricted Boltzmann Machine<\/section>\n<\/li>\n<li style=\"white-space: pre-wrap;text-align: left;font-size: 15px;color: rgb(63, 63, 63);\">\n<section style=\"line-height: 1.75em;text-align: left;\">10.3 Free Energy Calculation<\/section>\n<\/li>\n<li style=\"white-space: pre-wrap;text-align: left;font-size: 15px;color: rgb(63, 63, 63);\">\n<section style=\"line-height: 1.75em;text-align: left;\">10.4 Thermodynamic Quantities Related to Learning<\/section>\n<\/li>\n<li style=\"white-space: pre-wrap;text-align: left;font-size: 15px;color: rgb(63, 63, 63);\">\n<section style=\"line-height: 1.75em;text-align: left;\">10.5 Stability Analysis<\/section>\n<\/li>\n<li style=\"white-space: pre-wrap;text-align: left;font-size: 15px;color: rgb(63, 63, 63);\">\n<section style=\"line-height: 1.75em;text-align: left;\">10.6 Variational Mean-Field Theory for Training Binary RBMs<\/section>\n<\/li>\n<\/ul>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;text-align: left;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">Chapter 11: &nbsp;Simplest Model of Unsupervised Learning with Binary<\/span><\/p>\n<ul start=\"1\" class=\"list-paddingleft-1\" style=\"margin-right: 8px;margin-left: 8px;width: 577.422px;\">\n<li style=\"white-space: pre-wrap;text-align: left;font-size: 15px;color: rgb(63, 63, 63);\">\n<section style=\"line-height: 1.75em;text-align: left;\">11.1 Model Setting<\/section>\n<\/li>\n<li style=\"white-space: pre-wrap;text-align: left;font-size: 15px;color: rgb(63, 63, 63);\">\n<section style=\"line-height: 1.75em;text-align: left;\">11.2 Derivation of sMP and AMP Equations<\/section>\n<\/li>\n<li style=\"white-space: pre-wrap;text-align: left;font-size: 15px;color: rgb(63, 63, 63);\">\n<section style=\"line-height: 1.75em;text-align: left;\">11.3 Replica Computation<\/section>\n<\/li>\n<li style=\"white-space: pre-wrap;text-align: left;font-size: 15px;color: rgb(63, 63, 63);\">\n<section style=\"line-height: 1.75em;text-align: left;\">11.4 Phase Transitions<\/section>\n<\/li>\n<li style=\"white-space: pre-wrap;text-align: left;font-size: 15px;color: rgb(63, 63, 63);\">\n<section style=\"line-height: 1.75em;text-align: left;\">11.5 Measuring the Temperature of Dataset<\/section>\n<\/li>\n<\/ul>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;text-align: left;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">Chapter 12: &nbsp;Inherent-Symmetry Breaking in Unsupervised Learning<\/span><\/p>\n<ul start=\"1\" class=\"list-paddingleft-1\" style=\"margin-right: 8px;margin-left: 8px;width: 577.422px;\">\n<li style=\"white-space: pre-wrap;text-align: left;font-size: 15px;color: rgb(63, 63, 63);\">\n<section style=\"line-height: 1.75em;text-align: left;\">12.1 Model Setting<\/section>\n<\/li>\n<li style=\"white-space: pre-wrap;text-align: left;font-size: 15px;color: rgb(63, 63, 63);\">\n<section style=\"line-height: 1.75em;text-align: left;\">12.2 Phase Diagram<\/section>\n<\/li>\n<li style=\"white-space: pre-wrap;text-align: left;font-size: 15px;color: rgb(63, 63, 63);\">\n<section style=\"line-height: 1.75em;text-align: left;\">12.3 Hyper-Parameters Inference<\/section>\n<\/li>\n<\/ul>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;text-align: left;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">Chapter 13: &nbsp;Mean-Field Theory of Ising Perceptron<\/span><\/p>\n<ul start=\"1\" class=\"list-paddingleft-1\" style=\"margin-right: 8px;margin-left: 8px;width: 577.422px;\">\n<li style=\"white-space: pre-wrap;text-align: left;font-size: 15px;color: rgb(63, 63, 63);\">\n<section style=\"line-height: 1.75em;text-align: left;\">13.1 Ising Perceptron model<\/section>\n<\/li>\n<li style=\"white-space: pre-wrap;text-align: left;font-size: 15px;color: rgb(63, 63, 63);\">\n<section style=\"line-height: 1.75em;text-align: left;\">13.2 Message-Passing-Based Learning<\/section>\n<\/li>\n<li style=\"white-space: pre-wrap;text-align: left;font-size: 15px;color: rgb(63, 63, 63);\">\n<section style=\"line-height: 1.75em;text-align: left;\">13.3 Replica Analysis<\/section>\n<\/li>\n<\/ul>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;text-align: left;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">Chapter 14: &nbsp;Mean-Field Model of Multi-layered Perceptron<\/span><\/p>\n<ul start=\"1\" class=\"list-paddingleft-1\" style=\"margin-right: 8px;margin-left: 8px;width: 577.422px;\">\n<li style=\"white-space: pre-wrap;text-align: left;font-size: 15px;color: rgb(63, 63, 63);\">\n<section style=\"line-height: 1.75em;text-align: left;\">14.1 Random Active Path Model<\/section>\n<\/li>\n<li style=\"white-space: pre-wrap;text-align: left;font-size: 15px;color: rgb(63, 63, 63);\">\n<section style=\"line-height: 1.75em;text-align: left;\">14.2 Mean-Field Training Algorithms<\/section>\n<\/li>\n<li style=\"white-space: pre-wrap;text-align: left;font-size: 15px;color: rgb(63, 63, 63);\">\n<section style=\"line-height: 1.75em;text-align: left;\">14.3 Spike and Slab Model<\/section>\n<\/li>\n<\/ul>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;text-align: left;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">Chapter 15: &nbsp;Mean-Field Theory of Dimension Reduction in Neural Networks<\/span><\/p>\n<ul start=\"1\" class=\"list-paddingleft-1\" style=\"margin-right: 8px;margin-left: 8px;width: 577.422px;\">\n<li style=\"white-space: pre-wrap;text-align: left;font-size: 15px;color: rgb(63, 63, 63);\">\n<section style=\"line-height: 1.75em;text-align: left;\">15.1 Mean-Field Model<\/section>\n<\/li>\n<li style=\"white-space: pre-wrap;text-align: left;font-size: 15px;color: rgb(63, 63, 63);\">\n<section style=\"line-height: 1.75em;text-align: left;\">15.2 Linear Dimensionality and Correlation Strength<\/section>\n<\/li>\n<li style=\"white-space: pre-wrap;text-align: left;font-size: 15px;color: rgb(63, 63, 63);\">\n<section style=\"line-height: 1.75em;text-align: left;\">15.3 Dimension Reduction with Correlated Synapses<\/section>\n<\/li>\n<\/ul>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;text-align: left;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">Chapter 16: &nbsp;Chaos Theory of Random Recurrent Neural Networks<\/span><\/p>\n<ul start=\"1\" class=\"list-paddingleft-1\" style=\"margin-right: 8px;margin-left: 8px;width: 577.422px;\">\n<li style=\"white-space: pre-wrap;text-align: left;font-size: 15px;color: rgb(63, 63, 63);\">\n<section style=\"line-height: 1.75em;text-align: left;\">16.1 Spiking and Rate Models<\/section>\n<\/li>\n<li style=\"white-space: pre-wrap;text-align: left;font-size: 15px;color: rgb(63, 63, 63);\">\n<section style=\"line-height: 1.75em;text-align: left;\">16.2 Dynamical Mean-Field Theory<\/section>\n<\/li>\n<li style=\"white-space: pre-wrap;text-align: left;font-size: 15px;color: rgb(63, 63, 63);\">\n<section style=\"line-height: 1.75em;text-align: left;\">16.3 Lyapunov Exponent and Chaos<\/section>\n<\/li>\n<li style=\"white-space: pre-wrap;text-align: left;font-size: 15px;color: rgb(63, 63, 63);\">\n<section style=\"line-height: 1.75em;text-align: left;\">16.4 Excitation-Inhibition Balance Theory<\/section>\n<\/li>\n<li style=\"white-space: pre-wrap;text-align: left;font-size: 15px;color: rgb(63, 63, 63);\">\n<section style=\"line-height: 1.75em;text-align: left;\">16.5 Training Recurrent Neural Networks<\/section>\n<\/li>\n<\/ul>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;text-align: left;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">Chapter 17: &nbsp;Statistical Mechanics of Random Matrices<\/span><\/p>\n<ul start=\"1\" class=\"list-paddingleft-1\" style=\"margin-right: 8px;margin-left: 8px;width: 577.422px;\">\n<li style=\"white-space: pre-wrap;text-align: left;font-size: 15px;color: rgb(63, 63, 63);\">\n<section style=\"line-height: 1.75em;text-align: left;\">17.1 Spectral Density<\/section>\n<\/li>\n<li style=\"white-space: pre-wrap;text-align: left;font-size: 15px;color: rgb(63, 63, 63);\">\n<section style=\"line-height: 1.75em;text-align: left;\">17.2 Replica Method and Semi-circle Law<\/section>\n<\/li>\n<li style=\"white-space: pre-wrap;text-align: left;font-size: 15px;color: rgb(63, 63, 63);\">\n<section style=\"line-height: 1.75em;text-align: left;\">17.3 Cavity Approach and Marchenko<\/section>\n<\/li>\n<li style=\"white-space: pre-wrap;text-align: left;font-size: 15px;color: rgb(63, 63, 63);\">\n<section style=\"line-height: 1.75em;text-align: left;\">17.4 Spectral Densities of Random Asymmetric Matrices<\/section>\n<\/li>\n<\/ul>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;text-align: left;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\"><\/span><\/p>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;white-space: normal;line-height: 1.75em;\"><br  \/><\/p>\n<h3 style=\"margin-bottom: 0em;outline: 0px;white-space: normal;font-family: mp-quote, -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;letter-spacing: 0.544px;background-color: rgb(255, 255, 255);visibility: visible;\">\n<section powered-by=\"xiumi.us\" style=\"outline: 0px;letter-spacing: 0.544px;text-align: right;font-size: 13px;visibility: visible;\">\n<section powered-by=\"xiumi.us\" style=\"margin-top: 10px;margin-bottom: 10px;outline: 0px;letter-spacing: 0.544px;text-align: center;visibility: visible;\">\n<section style=\"outline: 0px;display: inline-block;vertical-align: middle;visibility: visible;\">\n<section style=\"margin-bottom: -2px;outline: 0px;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;visibility: visible;\">\n<section style=\"outline: 0px;float: left;width: 8px;height: 3px;background-color: rgb(33, 166, 210);line-height: 0;visibility: visible;\"><br style=\"outline: 0px;visibility: visible;\"  \/><\/section>\n<section style=\"outline: 0px;float: right;width: 8px;height: 3px;background-color: rgb(33, 166, 210);line-height: 0;visibility: visible;\"><br style=\"outline: 0px;visibility: visible;\"  \/><\/section>\n<section style=\"outline: 0px;clear: both;line-height: 0;visibility: visible;\">\n<section style=\"outline: 0px;line-height: 0;width: 0px;visibility: visible;\"><svg viewbox=\"0 0 1 1\" style=\"vertical-align: top;visibility: visible;\"><\/svg><\/section>\n<\/section>\n<\/section>\n<section style=\"padding-right: 10px;padding-left: 10px;outline: 0px;border-left: 3px solid rgb(33, 166, 210);border-right: 3px solid rgb(33, 166, 210);border-top-color: rgb(33, 166, 210);border-bottom-color: rgb(33, 166, 210);font-size: 16px;color: rgb(0, 0, 0);line-height: 1.4;visibility: visible;\">\n<p style=\"outline: 0px;visibility: visible;\"><strong style=\"outline: 0px;visibility: visible;\"><strong style=\"outline: 0px;text-align: left;color: rgb(33, 166, 210);letter-spacing: 0.544px;visibility: visible;\"><span style=\"outline: 0px;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;caret-color: rgb(89, 89, 89);visibility: visible;\">\u6b63\u5f0f\u5b66\u5458\u7533\u8bf7\u8981\u6c42\u4e0e\u6d41\u7a0b<\/span><\/strong><\/strong><\/p>\n<\/section>\n<section style=\"margin-top: -2px;outline: 0px;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;visibility: visible;\">\n<section style=\"outline: 0px;float: left;width: 8px;height: 3px;background-color: rgb(33, 166, 210);line-height: 0;visibility: visible;\"><br style=\"outline: 0px;visibility: visible;\"  \/><\/section>\n<section style=\"outline: 0px;float: right;width: 8px;height: 3px;background-color: rgb(33, 166, 210);line-height: 0;visibility: visible;\"><br style=\"outline: 0px;visibility: visible;\"  \/><\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/h3>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;outline: 0px;white-space: normal;line-height: 1.75em;\"><br  \/><\/section>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u4ece2023\u5e742\u6708\u5e95\uff5e6\u6708\u5e95\uff0c\u672c\u8bfe\u7a0b\uff08\u4e0b\uff09\u5c06\u8bb2\u6388\u73b0\u4ee3\u795e\u7ecf\u7f51\u7edc\u7684\u524d\u6cbf\u7406\u8bba\uff0c\u8ba8\u8bba\u5bf9\u8c61\u5305\u62ec\u65e0\u76d1\u7763\u5b66\u4e60\uff0c\u76d1\u7763\u5b66\u4e60\uff0c\u52a8\u529b\u5b66\u5e73\u5747\u573a\u7406\u8bba\uff0c\u968f\u673a\u77e9\u9635\u7406\u8bba\u7b49\u7b49\uff08\u5bf9\u5e94\u4e66\u4e0a\u7b2c\u4e5d\u81f3\u5341\u4e03\u7ae0\uff09\u3002\u8bfe\u7a0b\u5c06\u7a7f\u63d2\u4e30\u5bcc\u7684\u5c0f\u9879\u76ee\u548c\u524d\u6cbf\u6587\u732e\u9605\u8bfb\u5206\u4eab\u3002<\/span><\/p>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\"><br  \/><\/span><\/p>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\"><strong>\u5b66\u4e60\u540d\u989d\uff1a<\/strong>\u672c\u5b63\u5c06\u6839\u636e\u540c\u5b66\u7684\u5b66\u4e60\u60c5\u51b5\u5728\u4e0b\u4e00\u5b63\u5f00\u59cb\u524d\u6dd8\u6c70\u90e8\u5206\u5b66\u5458\u3002\u4e0b\u4e00\u5b63\u8bfe\u7a0b\u5c06\u5f00\u653e\u62db\u653620\u540d\u65b0\u7684\u6b63\u5f0f\u5b66\u5458\uff0c\u5982\u679c\u4f60\u8eab\u8fb9\u6709\u540c\u5b66\u6216\u670b\u53cb\u6709\u611f\u5174\u8da3\u7684\u53ef\u4ee5\u63a8\u8350\u7533\u8bf7\u3002\u6b63\u5f0f\u5b66\u5458\u53d7\u8bfe\u7a0b\u8d1f\u8d23\u4eba\u9ec4\u6d77\u5e73\u8001\u5e08\u8fdb\u884c\u4e25\u683c\u7684\u8bfe\u7a0b\u5b66\u4e60\u7ba1\u7406\uff0c\u5b8c\u6210\u8bfe\u7a0b\u4f5c\u4e1a\u3001\u8bfe\u7a0b\u5c0f\u9879\u76ee\u8bba\u6587\u7b49\u3002<\/span><\/p>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\"><br  \/><\/span><\/p>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\"><strong>\u57f9\u517b\u76ee\u6807\uff1a<\/strong>\u57f9\u517b\u4e00\u6279\u6709\u671b\u5728\u795e\u7ecf\u7f51\u7edc\u7406\u8bba\u6df1\u8015\u7684\u9752\u5e74\u5b66\u8005\uff08\u4fa7\u91cd\u5b66\u751f\uff09<\/span><\/p>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\"><br  \/><\/span><\/p>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\"><strong>\u7533\u8bf7\u4eba<\/strong><strong>\u8981\u6c42\uff1a<\/strong>\u5bf9\u4e66\u7684\u4e0a\u534a\u90e8\u6709\u4e00\u5b9a\u7a0b\u5ea6\u4e86\u89e3\u5e76\u4e14\u5bf9\u5256\u6790\u795e\u7ecf\u7f51\u7edc\u5de5\u4f5c\u673a\u5236\uff08\u542b\u8ba1\u7b97\u795e\u7ecf\u79d1\u5b66\uff09\u6709\u5f3a\u70c8\u5174\u8da3\u3002<\/span><\/p>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\"><br  \/><\/span><\/p>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;text-align: left;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\"><strong>\u7533\u8bf7\u65b9\u6cd5\uff1a<\/strong>\u9644\u7b80\u5386\u81f3huanghp7@mail.sysu.edu.cn<\/span><\/p>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\"><br  \/><\/span><\/p>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\"><strong>\u622a\u6b62\u65e5\u671f\uff1a<\/strong>2023\u5e742\u67088\u65e5<\/span><\/p>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\"><br  \/><\/span><\/p>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\"><strong>\u7ed3\u679c\u901a\u77e5\uff1a<\/strong>2023\u5e742\u670813\u65e5\u524d<\/span><\/p>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\"><br  \/><\/span><\/p>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\"><strong>\u7533\u8bf7\u6210\u529f\u5b66\u5458\u798f\u5229\uff1a<\/strong>\u672c\u8bfe\u7a0b\u4f1a\u7531\u96c6\u667a\u5b66\u56ed\u8fdb\u884c\u514d\u8d39\u76f4\u64ad\uff0c\u6536\u8d39\u5f55\u64ad\u3002\u4f46\u662f\u7ecf\u9ec4\u6d77\u5e73\u8001\u5e08\u7b5b\u9009\uff0c\u88ab\u6210\u529f\u5f55\u53d6\u7684\u6b63\u5f0f\u5b66\u5458\u53ef\u514d\u8d39\u83b7\u53d6\u89c6\u9891\u5f55\u64ad\u6743\u9650\u3002\u5177\u4f53\u5728\u786e\u8ba4\u5b66\u5458\u540d\u5355\u540e\uff0c\u4f1a\u7edf\u4e00\u5f00\u901a\u3002<\/span><\/p>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\"><br  \/><\/span><\/p>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\"><br  \/><\/span><\/p>\n<h3 style=\"margin-bottom: 0em;outline: 0px;white-space: normal;font-family: mp-quote, -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;letter-spacing: 0.544px;background-color: rgb(255, 255, 255);visibility: visible;\">\n<section powered-by=\"xiumi.us\" style=\"outline: 0px;letter-spacing: 0.544px;text-align: right;font-size: 13px;visibility: visible;\">\n<section powered-by=\"xiumi.us\" style=\"margin-top: 10px;margin-bottom: 10px;outline: 0px;letter-spacing: 0.544px;text-align: center;visibility: visible;\">\n<section style=\"outline: 0px;display: inline-block;vertical-align: middle;visibility: visible;\">\n<section style=\"margin-bottom: -2px;outline: 0px;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;visibility: visible;\">\n<section style=\"outline: 0px;float: left;width: 8px;height: 3px;background-color: rgb(33, 166, 210);line-height: 0;visibility: visible;\"><br style=\"outline: 0px;visibility: visible;\"  \/><\/section>\n<section style=\"outline: 0px;float: right;width: 8px;height: 3px;background-color: rgb(33, 166, 210);line-height: 0;visibility: visible;\"><br style=\"outline: 0px;visibility: visible;\"  \/><\/section>\n<section style=\"outline: 0px;clear: both;line-height: 0;visibility: visible;\">\n<section style=\"outline: 0px;line-height: 0;width: 0px;visibility: visible;\"><svg viewbox=\"0 0 1 1\" style=\"vertical-align: top;visibility: visible;\"><\/svg><\/section>\n<\/section>\n<\/section>\n<section style=\"padding-right: 10px;padding-left: 10px;outline: 0px;border-left: 3px solid rgb(33, 166, 210);border-right: 3px solid rgb(33, 166, 210);border-top-color: rgb(33, 166, 210);border-bottom-color: rgb(33, 166, 210);font-size: 16px;color: rgb(0, 0, 0);line-height: 1.4;visibility: visible;\">\n<p style=\"outline: 0px;visibility: visible;\"><strong style=\"outline: 0px;visibility: visible;\"><strong style=\"outline: 0px;text-align: left;color: rgb(33, 166, 210);letter-spacing: 0.544px;visibility: visible;\"><span style=\"outline: 0px;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;caret-color: rgb(89, 89, 89);visibility: visible;\">\u8bfe\u7a0b\u4e66\u7c4d\u4ecb\u7ecd<\/span><\/strong><\/strong><\/p>\n<\/section>\n<section style=\"margin-top: -2px;outline: 0px;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;visibility: visible;\">\n<section style=\"outline: 0px;float: left;width: 8px;height: 3px;background-color: rgb(33, 166, 210);line-height: 0;visibility: visible;\"><br style=\"outline: 0px;visibility: visible;\"  \/><\/section>\n<section style=\"outline: 0px;float: right;width: 8px;height: 3px;background-color: rgb(33, 166, 210);line-height: 0;visibility: visible;\"><br style=\"outline: 0px;visibility: visible;\"  \/><\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/h3>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;outline: 0px;white-space: normal;line-height: 1.75em;\"><br  \/><\/section>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u672c\u4e66\u6db5\u76d6\u4e86\u7528\u4e8e\u7406\u89e3\u795e\u7ecf\u7f51\u7edc\u539f\u7406\u7684\u5fc5\u8981\u7edf\u8ba1\u529b\u5b66\u77e5\u8bc6\uff0c\u5305\u62ec\u590d\u672c\u65b9\u6cd5\u3001\u7a7a\u8154\u65b9\u6cd5\u3001\u5e73\u5747\u573a\u8fd1\u4f3c\u3001\u53d8\u5206\u6cd5\u3001\u968f\u673a\u80fd\u91cf\u6a21\u578b\u3001Nishimori\u6761\u4ef6\u3001\u52a8\u529b\u5b66\u5e73\u5747\u573a\u7406\u8bba\u3001\u5bf9\u79f0\u6027\u7834\u7f3a\u3001\u968f\u673a\u77e9\u9635\u7406\u8bba\u7b49\uff0c\u540c\u65f6\u8be6\u7ec6\u63cf\u8ff0\u4e86\u76d1\u7763\u5b66\u4e60\u3001\u65e0\u76d1\u7763\u5b66\u4e60\u3001\u8054\u60f3\u8bb0\u5fc6\u7f51\u7edc\u3001\u611f\u77e5\u5668\u7f51\u7edc\u3001\u968f\u673a\u5faa\u73af\u7f51\u7edc\u7b49\u795e\u7ecf\u7f51\u7edc\u53ca\u5176\u529f\u80fd\u7684\u7269\u7406\u6a21\u578b\u4ee5\u53ca\u89e3\u6790\u7406\u8bba\u3002\u672c\u4e66\u901a\u8fc7\u7b80\u6d01\u7684\u6a21\u578b\u5c55\u793a\u4e86\u795e\u7ecf\u7f51\u7edc\u539f\u7406\u7684\u6570\u5b66\u7f8e\u548c\u7269\u7406\u6df1\u5ea6\uff0c\u5e76\u4ecb\u7ecd\u4e86\u76f8\u5173\u5386\u53f2\u548c\u5c55\u671b\u672a\u6765\u7814\u7a76\u7684\u91cd\u8981\u8bfe\u9898\uff0c\u53ef\u4f9b\u5bf9\u795e\u7ecf\u7f51\u7edc\u539f\u7406\u611f\u5174\u8da3\u7684\u5b66\u751f\u3001\u7814\u7a76\u4eba\u5458\u4ee5\u53ca\u5de5\u7a0b\u5e08\u9605\u8bfb\u53c2\u8003\u3002<\/span><\/p>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\"><br  \/><\/span><\/p>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u8bfe\u7a0b\u6d89\u53ca\u9ec4\u6d77\u5e73\u8001\u5e08\u6700\u65b0\u51fa\u7248\u7684\u4e66\u7c4d\u300aStatistical Mechanics of Neural Networks\u300b\u7684\u5927\u90e8\u5206\u5185\u5bb9\uff0c\u76ee\u6807\u662f\u5b66\u4e60\u7edf\u8ba1\u529b\u5b66\u7684\u57fa\u672c\u539f\u7406\u53ca\u5176\u5728\u7406\u89e3\u795e\u7ecf\u7f51\u7edc\u5185\u90e8\u5de5\u4f5c\u539f\u7406\u7684\u5e94\u7528\u3002<\/span><\/p>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\"><br  \/><\/span><\/p>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u5173\u952e\u8bcd\uff1a\u7edf\u8ba1\u529b\u5b66\uff0c\u795e\u7ecf\u7f51\u7edc\uff0c\u673a\u5668\u5b66\u4e60\uff0c\u968f\u673a\u77e9\u9635\uff0c\u975e\u7ebf\u6027\u52a8\u529b\u5b66<\/span><\/p>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\"><br  \/><\/span><\/p>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;text-align: center;\"><img class=\"rich_pages wxw-img\" data-height=\"637\" data-ratio=\"0.6540041067761807\"  data-type=\"png\" data-w=\"974\" data-width=\"974\" style=\"width: 430px;height: 281px;\" src=\"\/wp-content\/uploads\/2022\/12\/wxsync-2022-12-2d2f74ddbd4bdc75539d3bd0ec62de21.png\"  \/><\/p>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;text-align: center;\"><span style=\"color: rgb(136, 136, 136);font-size: 13px;\">Statistical Mechanics of Neural Networks<\/span><\/p>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\"><br  \/><\/span><\/p>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u672c\u4e66\u6d77\u5916\u7248\u7531 Springer \u53d1\u884c\uff0c\u76ee\u524d\u53ef\u5728 Amazon \u5e73\u53f0\u8d2d\u4e70\u3002\u56fd\u5185\u7531\u9ad8\u6559\u51fa\u7248\u793e\u53d1\u884c\uff0c\u9884\u8ba18\u6708\u4e2d\u65ec\u4e66\u7c4d\u4e0a\u67b6\uff0c\u53ef\u5728\u56fd\u5185\u5404\u5927\u5e73\u53f0\u8d2d\u4e70\u3002<\/span><\/p>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\"><br  \/><\/span><\/p>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;white-space: normal;line-height: 1.75em;\"><br  \/><\/p>\n<h3 style=\"margin-bottom: 0em;outline: 0px;white-space: normal;font-family: mp-quote, -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;letter-spacing: 0.544px;background-color: rgb(255, 255, 255);visibility: visible;\">\n<section powered-by=\"xiumi.us\" style=\"outline: 0px;letter-spacing: 0.544px;text-align: right;font-size: 13px;visibility: visible;\">\n<section powered-by=\"xiumi.us\" style=\"margin-top: 10px;margin-bottom: 10px;outline: 0px;letter-spacing: 0.544px;text-align: center;visibility: visible;\">\n<section style=\"outline: 0px;display: inline-block;vertical-align: middle;visibility: visible;\">\n<section style=\"margin-bottom: -2px;outline: 0px;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;visibility: visible;\">\n<section style=\"outline: 0px;float: left;width: 8px;height: 3px;background-color: rgb(33, 166, 210);line-height: 0;visibility: visible;\"><br style=\"outline: 0px;visibility: visible;\"  \/><\/section>\n<section style=\"outline: 0px;float: right;width: 8px;height: 3px;background-color: rgb(33, 166, 210);line-height: 0;visibility: visible;\"><br style=\"outline: 0px;visibility: visible;\"  \/><\/section>\n<section style=\"outline: 0px;clear: both;line-height: 0;visibility: visible;\">\n<section style=\"outline: 0px;line-height: 0;width: 0px;visibility: visible;\"><svg viewbox=\"0 0 1 1\" style=\"vertical-align: top;visibility: visible;\"><\/svg><\/section>\n<\/section>\n<\/section>\n<section style=\"padding-right: 10px;padding-left: 10px;outline: 0px;border-left: 3px solid rgb(33, 166, 210);border-right: 3px solid rgb(33, 166, 210);border-top-color: rgb(33, 166, 210);border-bottom-color: rgb(33, 166, 210);font-size: 16px;color: rgb(0, 0, 0);line-height: 1.4;visibility: visible;\">\n<p style=\"outline: 0px;visibility: visible;\"><strong style=\"outline: 0px;visibility: visible;\"><strong style=\"outline: 0px;text-align: left;color: rgb(33, 166, 210);letter-spacing: 0.544px;visibility: visible;\"><span style=\"outline: 0px;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;caret-color: rgb(89, 89, 89);visibility: visible;\">\u62a5\u540d\u52a0\u5165\u8bfe\u7a0b<\/span><\/strong><\/strong><\/p>\n<\/section>\n<section style=\"margin-top: -2px;outline: 0px;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;visibility: visible;\">\n<section style=\"outline: 0px;float: left;width: 8px;height: 3px;background-color: rgb(33, 166, 210);line-height: 0;visibility: visible;\"><br style=\"outline: 0px;visibility: visible;\"  \/><\/section>\n<section style=\"outline: 0px;float: right;width: 8px;height: 3px;background-color: rgb(33, 166, 210);line-height: 0;visibility: visible;\"><br style=\"outline: 0px;visibility: visible;\"  \/><\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/h3>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;outline: 0px;white-space: normal;line-height: 1.75em;\"><br  \/><\/section>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u5982\u679c\u4f60\u5bf9\u8bfe\u7a0b\u300c\u7edf\u8ba1\u529b\u5b66\u7684\u57fa\u672c\u539f\u7406\u300d\u5185\u5bb9\u611f\u5174\u8da3\uff0c\u4f46\u672a\u6210\u529f\u7533\u8bf7\u6210\u4e3a\u6b63\u5f0f\u5b66\u5458\uff0c\u6b22\u8fce\u52a0\u5165\u3010<a target=\"_blank\" href=\"http:\/\/mp.weixin.qq.com\/s?__biz=MzIzMjQyNzQ5MA==&amp;mid=2247628086&amp;idx=2&amp;sn=32c39ccfc209a0ac02d8995e0a64f54b&amp;chksm=e899afbbdfee26ad74fe0809f477e061095857882da0dde32640c94906424e20818d3404dd6a&amp;scene=21#wechat_redirect\" textvalue=\"\u795e\u7ecf\u7f51\u7edc\u7684\u7edf\u8ba1\u529b\u5b66\" linktype=\"text\" imgurl=\"\" imgdata=\"null\" data-itemshowtype=\"0\" tab=\"innerlink\" data-linktype=\"2\" rel=\"noopener noreferrer\">\u795e\u7ecf\u7f51\u7edc\u7684\u7edf\u8ba1\u529b\u5b66<\/a>\u3011\u8bfe\u7a0b\uff01<\/span><\/p>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\"><br  \/><\/span><\/p>\n<section style=\"margin-right: 8px;margin-left: 8px;line-height: 1.75em;margin-bottom: 8px;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\"><strong>\u8bfe\u7a0b\u4ef7\u683c 499\u5143<\/strong><\/span><\/section>\n<section style=\"margin-right: 8px;margin-left: 8px;line-height: 1.75em;text-align: center;margin-bottom: 8px;\"><img class=\"rich_pages wxw-img\" data-height=\"260\" data-ratio=\"1\"  data-type=\"png\" data-w=\"260\" data-width=\"260\" style=\"width: 138px;height: 138px;\" src=\"\/wp-content\/uploads\/2022\/12\/wxsync-2022-12-137bc2368bf8b6913532f9a6f16aa498.png\"  \/><\/section>\n<section style=\"margin-right: 8px;margin-left: 8px;line-height: 1.75em;text-align: center;margin-bottom: 8px;\"><span style=\"color: rgb(136, 136, 136);font-size: 13px;\">\u626b\u7801\u4ed8\u8d39\u62a5\u540d\u8bfe\u7a0b<\/span><\/section>\n<section style=\"margin-right: 8px;margin-left: 8px;line-height: 1.75em;margin-bottom: 8px;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u7b2c\u4e00\u6b65\uff1a\u626b\u7801\u4ed8\u8d39<\/span><\/section>\n<section style=\"margin-right: 8px;margin-left: 8px;line-height: 1.75em;margin-bottom: 8px;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u7b2c\u4e8c\u6b65\uff1a\u5728\u8bfe\u7a0b\u8be6\u60c5\u9875\u9762\uff0c\u586b\u5199\u201c\u5b66\u5458\u4fe1\u606f\u767b\u8bb0\u8868\u201d<\/span><\/section>\n<section style=\"margin-right: 8px;margin-left: 8px;line-height: 1.75em;margin-bottom: 8px;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u7b2c\u4e09\u6b65\uff1a\u626b\u7801\u6dfb\u52a0\u52a9\u6559\u5fae\u4fe1\uff0c\u5165\u7fa4<\/span><\/section>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u672c\u8bfe\u7a0b\u53ef\u5f00\u53d1\u7968\u3002<\/span><\/p>\n<section style=\"margin-right: 8px;margin-left: 8px;outline: 0px;line-height: 1.75em;margin-bottom: 0px;\"><span style=\"outline: 0px;font-size: 15px;color: rgb(63, 63, 63);\"><br style=\"outline: 0px;\"  \/><\/span><\/section>\n<section style=\"margin-right: 8px;margin-left: 8px;outline: 0px;line-height: 1.75em;margin-bottom: 0px;\"><span style=\"outline: 0px;font-size: 15px;color: rgb(63, 63, 63);\">\u8bfe\u7a0b\u8d1f\u8d23\u4eba\u9ec4\u6d77\u5e73\u7684\u8bc4\u8bba\u6587\u7ae0\uff1a<\/span><\/section>\n<section style=\"margin-right: 8px;margin-left: 8px;outline: 0px;line-height: 1.75em;margin-bottom: 0px;\"><a target=\"_blank\" href=\"http:\/\/mp.weixin.qq.com\/s?__biz=MzIzMjQyNzQ5MA==&amp;mid=2247634468&amp;idx=1&amp;sn=3cba5dbd1ba494176182eaf6fc13ec00&amp;chksm=e89994a9dfee1dbf1cfa3d7a2fc35c66ef2980cdcdc14977e81fad5c52dd00c4af39266abd8f&amp;scene=21#wechat_redirect\" textvalue=\"\u7edf\u8ba1\u7269\u7406\u3001\u65e0\u5e8f\u7cfb\u7edf\u548c\u795e\u7ecf\u7f51\u7edc\" linktype=\"text\" imgurl=\"\" imgdata=\"null\" data-itemshowtype=\"11\" tab=\"innerlink\" data-linktype=\"2\" hasload=\"1\" style=\"outline: 0px;text-decoration: underline;-webkit-tap-highlight-color: rgba(0, 0, 0, 0);cursor: pointer;font-size: 15px;\" rel=\"noopener noreferrer\"><span style=\"outline: 0px;\">\u7edf\u8ba1\u7269\u7406\u3001\u65e0\u5e8f\u7cfb\u7edf\u548c\u795e\u7ecf\u7f51\u7edc<\/span><\/a><br style=\"outline: 0px;\"  \/><\/section>\n<section style=\"margin-right: 8px;margin-left: 8px;outline: 0px;line-height: 1.75em;margin-bottom: 0px;\"><span style=\"outline: 0px;color: rgb(63, 63, 63);font-size: 15px;\">\u70b9\u51fb\u4e86\u89e3\u7cfb\u5217\u8bfe\u7a0b\u8be6\u60c5\uff1a<\/span><\/section>\n<section style=\"margin-right: 8px;margin-left: 8px;outline: 0px;line-height: 1.75em;margin-bottom: 0px;\"><a target=\"_blank\" href=\"http:\/\/mp.weixin.qq.com\/s?__biz=MzIzMjQyNzQ5MA==&amp;mid=2247628086&amp;idx=2&amp;sn=32c39ccfc209a0ac02d8995e0a64f54b&amp;chksm=e899afbbdfee26ad74fe0809f477e061095857882da0dde32640c94906424e20818d3404dd6a&amp;scene=21#wechat_redirect\" textvalue=\"\u9ec4\u6d77\u5e73\uff1a\u795e\u7ecf\u7f51\u7edc\u7684\u7edf\u8ba1\u529b\u5b66\u8bfe\u7a0b | 50\u4eba\u514d\u8d39\u540d\u989d\" linktype=\"text\" imgurl=\"\" imgdata=\"null\" data-itemshowtype=\"0\" tab=\"innerlink\" data-linktype=\"2\" hasload=\"1\" style=\"outline: 0px;text-decoration: underline;-webkit-tap-highlight-color: rgba(0, 0, 0, 0);cursor: pointer;font-size: 15px;\" rel=\"noopener noreferrer\"><span style=\"outline: 0px;\">\u9ec4\u6d77\u5e73\uff1a\u795e\u7ecf\u7f51\u7edc\u7684\u7edf\u8ba1\u529b\u5b66\u8bfe\u7a0b | 50\u4eba\u514d\u8d39\u540d\u989d<\/span><\/a><br style=\"outline: 0px;\"  \/><\/section>\n<section style=\"margin-right: 8px;margin-left: 8px;outline: 0px;line-height: 1.75em;margin-bottom: 0px;\"><br  \/><\/section>\n<section style=\"margin-right: 8px;margin-left: 8px;white-space: normal;line-height: 1.75em;margin-bottom: 8px;\"><span style=\"color: rgb(33, 166, 210);\"><strong><span style=\"font-size: 15px;\">\u63a8\u8350\u9605\u8bfb\uff1a<\/span><\/strong><\/span><\/section>\n<ul class=\"list-paddingleft-1\" style=\"list-style-type: circle;\">\n<li style=\"font-size: 15px;\">\n<section style=\"margin-right: 8px;margin-left: 8px;white-space: normal;line-height: 1.75em;margin-bottom: 8px;\"><a target=\"_blank\" href=\"http:\/\/mp.weixin.qq.com\/s?__biz=MzIzMjQyNzQ5MA==&amp;mid=2247617062&amp;idx=1&amp;sn=e963acb6885ea3b26d32e91c12eae076&amp;chksm=e89650abdfe1d9bddf82c71e612a15bc4393d0a61cde39d325b01b3099247145c98b492c37b8&amp;scene=21#wechat_redirect\" textvalue=\"\u96c6\u667a\u5b66\u56ed2022\u5e74\u8d39VIP\u5f00\u542f\uff0c\u4e0e5000+\u96c6\u667a\u793e\u533a\u6210\u5458\u4e00\u8d77\u63a2\u7d22\u590d\u6742\u6027\uff01\" linktype=\"text\" imgurl=\"\" imgdata=\"null\" data-itemshowtype=\"0\" tab=\"innerlink\" style=\"font-size: 15px;text-decoration: underline;\" data-linktype=\"2\" rel=\"noopener noreferrer\"><span style=\"font-size: 15px;\">\u96c6\u667a\u5b66\u56ed2022\u5e74\u8d39VIP\u5f00\u542f\uff0c\u4e0e5000+\u96c6\u667a\u793e\u533a\u6210\u5458\u4e00\u8d77\u63a2\u7d22\u590d\u6742\u6027\uff01<\/span><\/a><br  \/><\/section>\n<\/li>\n<\/ul>\n<section style=\"margin-bottom: 0px;\"><br  \/><\/section>\n<section style=\"margin-bottom: 0px;\"><br  \/><\/section>\n<section style=\"outline: 0px;margin-bottom: 0px;\"><strong style=\"outline: 0px;letter-spacing: 0.544px;font-size: 15px;text-align: left;color: rgb(255, 255, 255);font-family: PingFangSC-light;\"><span style=\"outline: 0px;background-color: rgb(12, 130, 169);\">\u70b9\u51fb\u201c\u9605\u8bfb\u539f\u6587\u201d\uff0c\u62a5\u540d\u8bfe\u7a0b<\/span><\/strong><\/section>\n<p style=\"display: none;\"><mp-style-type data-value=\"3\"><\/mp-style-type><\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u5bfc\u8bed \u4e3a\u4e86\u5e2e\u52a9\u5b66\u751f\u5b66\u4e60\u7edf\u8ba1\u529b\u5b66\u7684\u57fa\u672c\u539f\u7406\u53ca\u5176\u5728\u7406\u89e3\u795e\u7ecf\u7f51\u7edc\u5185\u90e8\u5de5\u4f5c\u539f\u7406\u7684\u5e94\u7528\uff0c\u4e2d\u5c71\u5927\u5b66\u6559\u6388\u3001PMI Lab\u7684\u9ec4\u6d77\u5e73\u8001\u5e08\u7ec4\u7ec7\u4e86\u300a\u795e\u7ecf\u7f51\u7edc\u7684\u7edf\u8ba1\u529b\u5b66\u300b\u5728\u7ebf\u8bfe\u7a0b\uff0c\u8bfe\u7a0b\u4ece2022\u5e749\u6708\u6301\u7eed\u52302023\u5e746\u6708\u3002\u76ee\u524d\u4e0a\u5b63\u8bfe\u7a0b\u4ece2022\u5e749\u6708-2022\u5e7412\u6708\uff0c\u5171\u8ba18\u7ae0\u5185\u5bb9\u300112\u8bb2\u8bfe\u7a0b\uff0c\u5df2\u5b8c\u6574\u4e0a\u7ebf\u3002\u6b22\u8fce\u626b\u63cf\u6587\u4e2d\u4e8c\u7ef4&#8230;<\/p>\n","protected":false},"author":1,"featured_media":39501,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[1],"tags":[],"special":[],"_links":{"self":[{"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/posts\/39517"}],"collection":[{"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=39517"}],"version-history":[{"count":0,"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/posts\/39517\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/media\/39501"}],"wp:attachment":[{"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=39517"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=39517"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=39517"},{"taxonomy":"special","embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Fspecial&post=39517"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}