{"id":43318,"date":"2023-06-27T19:31:16","date_gmt":"2023-06-27T11:31:16","guid":{"rendered":"https:\/\/swarma.org\/?p=43318"},"modified":"2023-06-27T19:31:16","modified_gmt":"2023-06-27T11:31:16","slug":"%e8%ae%ba%e6%96%87%e8%a7%a3%e8%af%bb%e5%9c%86%e6%a1%8c%ef%bc%9a%e5%9b%be%e7%a5%9e%e7%bb%8f%e7%bd%91%e7%bb%9c%e5%af%b9%e7%ba%bf%e6%80%a7%e4%bc%98%e5%8c%96%e9%97%ae%e9%a2%98%e7%9a%84%e6%b1%82%e8%a7%a3","status":"publish","type":"post","link":"https:\/\/swarma.org\/?p=43318","title":{"rendered":"\u8bba\u6587\u89e3\u8bfb+\u5706\u684c\uff1a\u56fe\u795e\u7ecf\u7f51\u7edc\u5bf9\u7ebf\u6027\u4f18\u5316\u95ee\u9898\u7684\u6c42\u89e3\u80fd\u529b\u4e28\u56fe\u795e\u7ecf\u7f51\u7edc\u4e0e\u7ec4\u5408\u4f18\u5316\u8bfb\u4e66\u4f1a\u00b7\u5468\u4e09\u76f4\u64ad"},"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: 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visible;\">\u4e3a\u4e86\u63a2\u8ba8\u56fe\u795e\u7ecf\u7f51\u7edc\u5728\u7b97\u6cd5\u795e\u7ecf\u5316\u6c42\u89e3\u7684\u53d1\u5c55\u4e0e\u73b0\u5b9e\u5e94\u7528\uff0c\u96c6\u667a\u4ff1\u4e50\u90e8\u8054\u5408\u56fd\u9632\u79d1\u6280\u5927\u5b66\u7cfb\u7edf\u5de5\u7a0b\u5b66\u9662\u526f\u6559\u6388\u8303\u957f\u4fca\u3001\u4e2d\u56fd\u4eba\u6c11\u5927\u5b66\u9ad8\u74f4\u4eba\u5de5\u667a\u80fd\u5b66\u9662\u52a9\u7406\u6559\u6388\u9ec4\u6587\u70b3\uff0c\u5171\u540c\u53d1\u8d77\u300c<a target=\"_blank\" href=\"http:\/\/mp.weixin.qq.com\/s?__biz=MzIzMjQyNzQ5MA==&amp;mid=2247663464&amp;idx=1&amp;sn=073e3d7c6d0ac643a93d01a7fd4d624f&amp;chksm=e89925e5dfeeacf3b350427aaf66812d11f458381944a2ada8a4ed19921ccc29a88708504490&amp;scene=21#wechat_redirect\" textvalue=\"\u56fe\u795e\u7ecf\u7f51\u7edc\u4e0e\u7ec4\u5408\u4f18\u5316\" linktype=\"text\" imgurl=\"\" imgdata=\"null\" data-itemshowtype=\"0\" tab=\"innerlink\" data-linktype=\"2\" hasload=\"1\" style=\"outline: 0px;color: 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style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;outline: 0px;color: rgb(34, 34, 34);font-family: system-ui, -apple-system, &quot;system-ui&quot;, &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);line-height: 1.75em;visibility: visible;\"><br  \/><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;margin-bottom: 0px;line-height: 1.75em;\"><span style=\"font-family: mp-quote, -apple-system-font, BlinkMacSystemFont, &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;color: rgb(63, 63, 63);font-size: 15px;letter-spacing: 0.578px;\">\u4f18\u5316\u95ee\u9898\u5728\u5b9e\u9645\u751f\u4ea7\u751f\u6d3b\u4e2d\u65e0\u5904\u4e0d\u5728\uff0c\u4f8b\u5982\uff0c\u7535\u529b\u63a7\u5236\u4e2d\u7684\u6700\u4f18\u6f6e\u6d41\u95ee\u9898\uff0c\u5bf9\u7535\u7f51\u7684\u7a33\u5b9a\u5b89\u5168\u8fd0\u884c\u5177\u6709\u91cd\u8981\u610f\u4e49\uff0c\u6700\u7ec8\u4e5f\u9700\u8981\u8f6c\u6362\u4e3a\u89c4\u5212\u95ee\u9898\u8fdb\u884c\u6c42\u89e3\u3002\u5229\u7528\u56fe\u795e\u7ecf\u7f51\u7edc\uff08GNN\uff09\u6765\u6c42\u89e3\u7ebf\u6027\u89c4\u5212\u95ee\u9898\uff0c\u662f\u8fd1\u5e74\u6765\u65b0\u5174\u7684\u6c42\u89e3\u65b9\u5f0f\uff0c\u4eba\u4eec\u53ef\u4ee5\u501f\u52a9GNN\u5e2e\u52a9\u5f62\u6210\u5bf9\u7ebf\u6027\u89c4\u5212\u95ee\u9898\u7684\u6d1e\u89c1\uff0c\u6216\u662f\u4e3a\u7ecf\u5178\u6c42\u89e3\u5668\u63d0\u4f9b\u521d\u59cb\u503c\u4ee5\u4fbf\u66f4\u5feb\u6c42\u89e3\u3002<\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;margin-bottom: 0px;line-height: 1.75em;\"><span style=\"font-family: mp-quote, -apple-system-font, BlinkMacSystemFont, &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;color: rgb(63, 63, 63);font-size: 15px;letter-spacing: 0.578px;\"><br  \/><\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;margin-bottom: 0px;line-height: 1.75em;\"><span style=\"font-family: mp-quote, -apple-system-font, BlinkMacSystemFont, &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;color: rgb(63, 63, 63);font-size: 15px;letter-spacing: 0.578px;\">\u4f46\u4eba\u4eec\u5f88\u5feb\u4f1a\u9762\u4e34\u7ebf\u6027\u89c4\u5212\u95ee\u9898\u5bf9\u5e94\u7684\u795e\u7ecf\u7f51\u7edc\u7684\u53ef\u8bad\u7ec3\u6027\u95ee\u9898\uff0c\u4e5f\u5373\uff0c\u662f\u5426GNN\u7684\u8f93\u51fa\u7ed3\u679c\u80fd\u591f\u8f83\u597d\u7684\u8d34\u8fd1\u7ecf\u5178\u65b9\u6cd5\u7684\u6c42\u89e3\u7ed3\u679c\u3002\u8fdb\u4e00\u6b65\uff0c\u5982\u679c\u7ebf\u6027\u89c4\u5212\u95ee\u9898\u662f\u53ef\u8bad\u7ec3\u7684\u8bdd\uff0c\u90a3\u4e48GNN\u7684\u6c42\u89e3\u8bef\u5dee\u662f\u5426\u662f\u6709\u9650\u7684\u3002ICLR2023\u4e0a\u7684\u4e24\u7bc7\u6587\u7ae0\uff0c\u7b2c\u4e00\u6b21\u5bf9\u4e24\u7c7b\u7ebf\u6027\u89c4\u5212\u95ee\u9898\u7684\u53ef\u8bad\u7ec3\u6027\u4f5c\u51fa\u4e86\u56de\u7b54\u3002\u672c\u6b21\u5206\u4eab\u5c06\u4e0e\u5927\u5bb6\u5171\u540c\u5b66\u4e60\u8fd9\u4e24\u7bc7\u6587\u7ae0\u7684\u601d\u8def\u3001\u903b\u8f91\uff0c\u5e76\u5c06\u901a\u8fc7\u4e00\u4e2a\u5c0f\u5706\u684c\u8ba8\u8bba\uff0c\u5bf9GNN\u5728\u4f18\u5316\u9886\u57df\u7684\u5e94\u7528\u524d\u666f\u548c\u672a\u6765\u7684\u7814\u7a76\u65b9\u5411\u8fdb\u884c\u63a2\u8ba8\u3002<\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;margin-bottom: 0px;line-height: 1.75em;\"><br  \/><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;margin-bottom: 0px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\"><br  \/><\/span><\/section>\n<h3 style=\"outline: 0px;color: rgb(34, 34, 34);letter-spacing: 0.544px;font-family: -apple-system, 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);visibility: visible;\">\n<section powered-by=\"xiumi.us\" style=\"outline: 0px;letter-spacing: 0.544px;font-family: PingFangSC-light;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;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;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;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;font-family: mp-quote, -apple-system-font, BlinkMacSystemFont, &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;\"><strong style=\"outline: 0px;text-align: left;color: rgb(33, 166, 210);font-family: PingFangSC-light;letter-spacing: 0.544px;visibility: visible;\">\u5206\u4eab\u5185\u5bb9\u5927\u7eb2<\/strong><\/strong><\/p>\n<\/section>\n<section style=\"margin-top: -2px;outline: 0px;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;color: rgb(34, 34, 34);font-family: system-ui, -apple-system, &quot;system-ui&quot;, &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);line-height: 1.75em;visibility: visible;\"><br  \/><\/section>\n<h2 style=\"margin-right: 8px;margin-left: 8px;white-space: pre-wrap;line-height: 1.75em;\"><\/h2>\n<ul class=\"list-paddingleft-1\" style=\"list-style-type: disc;margin-left: 8px;margin-right: 8px;\">\n<li style=\"color: rgb(63, 63, 63);font-size: 15px;\">\n<p style=\"line-height: 1.75em;margin-bottom: 8px;\"><span style=\"color: rgb(63, 63, 63);font-size: 15px;\">\u4f18\u5316\u95ee\u9898\u7684\u4e8c\u90e8\u56fe\u8868\u793a<\/span><\/p>\n<\/li>\n<li style=\"color: rgb(63, 63, 63);font-size: 15px;\">\n<p style=\"line-height: 1.75em;margin-bottom: 8px;\"><span style=\"color: rgb(63, 63, 63);font-size: 15px;\">WL\u7b97\u6cd5\u4ecb\u7ecd<\/span><\/p>\n<\/li>\n<li style=\"color: rgb(63, 63, 63);font-size: 15px;\">\n<p style=\"line-height: 1.75em;margin-bottom: 8px;\"><span style=\"color: rgb(63, 63, 63);font-size: 15px;\">\u5229\u7528GNN\u6c42\u89e3\u4f18\u5316\u95ee\u9898\u7684\u53ef\u8bad\u7ec3\u6027\uff0c\u53ca\u95ee\u9898\u7684\u6570\u5b66\u63cf\u8ff0<\/span><\/p>\n<\/li>\n<li style=\"color: rgb(63, 63, 63);font-size: 15px;\">\n<p style=\"line-height: 1.75em;margin-bottom: 8px;\"><span style=\"color: rgb(63, 63, 63);font-size: 15px;\">LP\u95ee\u9898\u7684\u53ef\u8bad\u7ec3\u6027\uff0c\u53ca\u8bc1\u660e\u601d\u8def<\/span><\/p>\n<\/li>\n<li style=\"color: rgb(63, 63, 63);font-size: 15px;\">\n<p style=\"line-height: 1.75em;margin-bottom: 8px;\"><span style=\"color: rgb(63, 63, 63);font-size: 15px;\">MILP\u95ee\u9898\u7684Random Feature<\/span><\/p>\n<\/li>\n<li style=\"color: rgb(63, 63, 63);font-size: 15px;\">\n<section style=\"line-height: 1.75em;\"><span style=\"color: rgb(63, 63, 63);font-size: 15px;\">\u6570\u503c\u7ed3\u679c<\/span><\/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<section style=\"margin-bottom: 0px;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\"><br  \/><\/span><\/section>\n<h3 style=\"outline: 0px;color: rgb(34, 34, 34);letter-spacing: 0.544px;font-family: -apple-system, 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);visibility: visible;\">\n<section powered-by=\"xiumi.us\" style=\"outline: 0px;letter-spacing: 0.544px;font-family: PingFangSC-light;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;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;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;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;font-family: mp-quote, -apple-system-font, BlinkMacSystemFont, &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;\"><strong style=\"outline: 0px;text-align: left;color: rgb(33, 166, 210);font-family: PingFangSC-light;letter-spacing: 0.544px;visibility: visible;\">\u5706\u684c\u62df\u8ba8\u8bba\u95ee\u9898<\/strong><\/strong><\/p>\n<\/section>\n<section style=\"margin-top: -2px;outline: 0px;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;color: rgb(34, 34, 34);font-family: system-ui, -apple-system, &quot;system-ui&quot;, &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);line-height: 1.75em;visibility: visible;\"><br  \/><\/section>\n<h2 style=\"margin-right: 8px;margin-left: 8px;white-space: pre-wrap;line-height: 1.75em;margin-bottom: 16px;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">1.\u56fe\u7ed3\u6784\u662f\u5426\u5b58\u5728\u7c7b\u4f3c\u4e8e\u56fe\u5f62\u56fe\u50cf\u3001\u8bed\u8a00\u8bed\u4e49\u8fd9\u6837\u76f8\u5bf9\u7a33\u5b9a\u7684\u7edf\u8ba1\u5206\u5e03\uff0c\u8fd9\u53ef\u80fd\u66f4\u52a0\u672c\u8d28\u5730\u51b3\u5b9a\u4e86GNN\u7684\u5b66\u4e60\u80fd\u529b\u3002\u5bf9\u4e8eLP(MILP)\u95ee\u9898\uff0c\u73b0\u5728\u7684\u4e8c\u90e8\u56fe\u7684\u8868\u8fbe\u65b9\u5f0f\uff0c\u4f3c\u4e4e\u6ca1\u6709\u5229\u7528\u5230\u4f18\u5316\u95ee\u9898\u7684\u6027\u8d28\uff0c\u662f\u5426\u5408\u7406\uff1f\u6709\u6ca1\u6709\u80fd\u5229\u7528\u5230\u95ee\u9898\u80cc\u666f\u7684\u66f4\u76f4\u63a5\u3001\u51c6\u786e\u3001\u672c\u8d28\u5316\u7684\u56fe\u7ed3\u6784\u5316\u65b9\u6cd5\uff1f\u6362\u8a00\u4e4b\uff0c\u4e8c\u90e8\u56fe\u662f\u5426\u662f\u6700\u9002\u5408\u7528\u4e8e\u63cf\u8ff0LP(MILP)\u95ee\u9898\u7684\u56fe\u7ed3\u6784\uff1f<\/span><\/h2>\n<h2 style=\"margin-right: 8px;margin-left: 8px;white-space: pre-wrap;line-height: 1.75em;margin-bottom: 16px;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">2.\u53ef\u8bad\u7ec3\u6027\u662f\u4f7f\u7528GNN\u89e3\u51b3LP(MILP)\u95ee\u9898\u7684\u91cd\u8981\u7684\u7406\u8bba\u5173\u5207\u70b9\uff0c\u9664\u6b64\u4ee5\u5916\uff0c\u5224\u522b\u80fd\u529b\u3001\u8bad\u7ec3\u8bef\u5dee\u3001\u6536\u655b\u901f\u5ea6\u3001\u654f\u611f\u6027\u7b49\u6027\u8d28\u4e5f\u6709\u5f88\u91cd\u8981\u7684\u7406\u8bba\u4ef7\u503c\uff0c\u8fd9\u4e9b\u7406\u8bba\u6027\u8d28\uff0c\u5728\u4e8c\u90e8\u56fe\u7684\u8868\u8fbe\u4e0b\uff0c\u662f\u5426\u6709\u89e3\u51b3\u7684\u53ef\u80fd\u6027\uff1f\u4e8c\u90e8\u56fe\uff0c\u4ee5\u53ca\u8fd1\u5e74\u6765\u4ee5WL\u7b97\u6cd5\u4e3a\u4e3b\u8981\u5de5\u5177\u7684\u8bc1\u660e\u8303\u5f0f\uff0c\u662f\u5426\u4f1a\u5bf9\u7406\u8bba\u89e3\u91ca\u529b\u5f62\u6210\u9650\u5236\uff1f\u80fd\u5426\u5c55\u671bGNN\u7684\u7406\u8bba\u53d1\u5c55\u65b9\u5411\uff0c\u54ea\u4e9b\u65b9\u5411\u5c06\u5728\u672a\u6765\u6700\u53d7\u5173\u5207\u6700\u5177\u5907\u7814\u7a76\u4ef7\u503c\uff1f\u5bf9LP\u95ee\u9898\u7684\u53ef\u6d4b\u6027\uff0c\u6709\u6ca1\u6709\u66f4\u52a0\u76f4\u89c2\u7684\u89e3\u91ca\u3002\u6bd4\u5982\uff0c\u6240\u6709\u7684\u6700\u4f18\u6f6e\u6d41\u95ee\u9898\u5bf9\u5e94\u7684LP\u95ee\u9898\u7684\u96c6\u5408\uff0c\u662f\u53ef\u6d4b\u7684\u5417\uff1f<\/span><\/h2>\n<h2 style=\"margin-right: 8px;margin-left: 8px;white-space: pre-wrap;line-height: 1.75em;margin-bottom: 16px;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">3.\u5bf9LP\u95ee\u9898\u8fdb\u884c\u5206\u7c7b\uff0c\u7814\u7a76\u4e0d\u540c\u96c6\u5408\u7684LP\u95ee\u9898\u7684\u7406\u8bba\u6027\u8d28\uff0c\u5305\u62ecGNN\u7684\u53ef\u8bad\u7ec3\u6027\uff0c\u662f\u5426\u662f\u81ea\u7136\u7684\u7814\u7a76\u601d\u8def\uff1f\u6362\u8a00\u4e4b\uff0c\u4e0d\u540c\u7c7b\u7684LP\u95ee\u9898\u4e4b\u95f4\u7684\u5dee\u5f02\u662f\u5426\u8db3\u591f\u5927\uff0c\u4ee5\u81f3\u4e8e\u4e0d\u592a\u53ef\u80fd\u8bad\u7ec3\u51fa\u5bf9\u6240\u6709LP\u95ee\u9898\u666e\u9002\u7684GNN\uff1f\u5f53\u524d\u5bf9LP\u95ee\u9898\u7684\u5206\u7c7b\u548c\u6027\u8d28\u7684\u7814\u7a76\uff0c\u662f\u5426\u5f62\u6210\u4e86\u4e00\u81f4\u7684\u770b\u6cd5\uff1f<\/span><\/h2>\n<h2 style=\"margin-right: 8px;margin-left: 8px;white-space: pre-wrap;line-height: 1.75em;margin-bottom: 16px;\"><span style=\"font-size: 15px;color: 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63);\">5.\u5c55\u671b\u672a\u6765\uff0cGNN\u6709\u591a\u5927\u53ef\u80fd\u6027\u6765\u66ff\u4ee3\u4f20\u7edf\u7684\u4f18\u5316\u95ee\u9898\u6c42\u89e3\u5668\uff1f\u5982\u679cGNN\u7ed3\u679c\u505a\u4e0d\u5230100%\u53ef\u9760\uff0c\u90a3\u4e48\u7ed3\u5408\u4e86GNN\u7684\u6c42\u89e3\u5668\u6a21\u5f0f\u6709\u54ea\u4e9b\uff1f\u5982\u679c\u53ea\u662f\u5c06GNN\u7ed3\u679c\u4f5c\u4e3a\u4f20\u7edf\u6c42\u89e3\u5668\u7684\u521d\u59cb\u503c\uff0c\u662f\u5426\u6709\u53ef\u80fd\u53cd\u800c\u589e\u52a0\u4e86\u6c42\u89e3\u65f6\u95f4\u548c\u96be\u5ea6\uff1f<\/span><\/h2>\n<section 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><\/section>\n<h2 style=\"margin-right: 8px;margin-left: 8px;white-space: pre-wrap;line-height: 1.75em;\"><br  \/><\/h2>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 1.75em;\"><br  \/><\/section>\n<h3 style=\"outline: 0px;color: rgb(34, 34, 34);letter-spacing: 0.544px;font-family: -apple-system, 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);visibility: visible;\">\n<section powered-by=\"xiumi.us\" style=\"outline: 0px;letter-spacing: 0.544px;font-family: PingFangSC-light;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;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;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: 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1.4;visibility: visible;\">\n<p style=\"outline: 0px;visibility: visible;\"><strong style=\"outline: 0px;font-family: mp-quote, -apple-system-font, BlinkMacSystemFont, &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;\"><strong style=\"outline: 0px;text-align: left;color: rgb(33, 166, 210);font-family: PingFangSC-light;letter-spacing: 0.544px;visibility: visible;\">\u4e3b\u8bb2\u4eba\u4ecb\u7ecd<\/strong><\/strong><\/p>\n<\/section>\n<section style=\"margin-top: -2px;outline: 0px;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-left: 8px;margin-right: 8px;margin-bottom: 0px;line-height: 1.75em;text-align: center;\"><br  \/><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;letter-spacing: 0.578px;white-space: normal;line-height: 1.75em;text-align: center;\"><img class=\"rich_pages wxw-img\" data-croporisrc=\"https:\/\/mmbiz.qpic.cn\/mmbiz_png\/wibWV1DB7tWL5LoqwVzCmdk0mLnNCgBVs04NULuLyv3LBtJ2osCZVWsRLtlrwEVSkHnSOlka8zsstz8t6mJSyFg\/640?wx_fmt=png\" data-cropx1=\"18.742857142857144\" data-cropx2=\"641.0057142857142\" data-cropy1=\"0\" data-cropy2=\"652.2514285714286\" data-height=\"658\" data-ratio=\"1.043338683788122\" data-type=\"jpeg\" data-w=\"623\" data-width=\"656\" style=\"width: 158px;height: auto !important;\"  src=\"\/wp-content\/uploads\/2023\/06\/wxsync-2023-06-87d0462b356f7c380592ec3f1ab5ccf1.jpeg\"  \/><\/section>\n<h3 style=\"margin-right: 8px;margin-left: 8px;letter-spacing: 0.578px;white-space: pre-wrap;line-height: 1.75em;\"><strong><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u84b2\u5929\u4e50<\/span><\/strong><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\uff0c\u56fd\u9632\u79d1\u6280\u5927\u5b66\u7cfb\u7edf\u5de5\u7a0b\u5b66\u96622022\u7ea7\u7855\u58eb\u7814\u7a76\u751f\uff0c\u5e08\u4ece\u9648\u8d85\u6559\u6388\u548c\u8303\u957f\u4fca\u526f\u6559\u6388\uff0c\u7814\u7a76\u65b9\u5411\u4e3a\u673a\u5668\u5b66\u4e60\u4e0e\u7ec4\u5408\u4f18\u5316\uff0c\u91cd\u70b9\u5173\u6ce8\u4ee5\u56fe\u795e\u7ecf\u7f51\u7edc\u4e3a\u4ee3\u8868\u7684\u5404\u79cd\u56fe\u6280\u672f\u5728\u7ec4\u5408\u4f18\u5316\u9886\u57df\u4e2d\u7684\u5e94\u7528\uff0c\u7814\u7a76\u5174\u8da3\u5305\u62ec\u4f46\u4e0d\u9650\u4e8e\u56fe\u795e\u7ecf\u7f51\u7edc\u3001\u7ec4\u5408\u4f18\u5316\u3001\u795e\u7ecf\u7b97\u6cd5\u63a8\u7406\u3001\u590d\u6742\u7f51\u7edc\u7b49\u3002<\/span><\/h3>\n<h3 style=\"margin-right: 8px;margin-left: 8px;letter-spacing: 0.578px;white-space: pre-wrap;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\"><br  \/><\/span><\/h3>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;letter-spacing: 0.578px;white-space: normal;line-height: 1.75em;text-align: center;\"><img class=\"rich_pages wxw-img\" data-height=\"770\" data-ratio=\"0.9974093264248705\" data-type=\"png\" data-w=\"772\" data-width=\"772\" style=\"width: 158px;height: auto !important;\"  src=\"\/wp-content\/uploads\/2023\/06\/wxsync-2023-06-3a90909ddb5c20671d1f2d40c739d290.png\"  \/><\/section>\n<h3 style=\"margin-right: 8px;margin-left: 8px;letter-spacing: 0.578px;white-space: pre-wrap;line-height: 1.75em;\"><strong><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u9646\u6021\u821f<\/span><\/strong><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\uff0c\u5bf9\u5916\u7ecf\u8d38\u5927\u5b66\u7edf\u8ba1\u5b66\u9662\u6821\u5916\u5bfc\u5e08\u3002\u6bd5\u4e1a\u4e8e\u5317\u4eac\u5927\u5b66\u6570\u5b66\u5b66\u9662\uff0c\u66fe\u5728\u5fae\u8f6f\u4e9a\u6d32\u7814\u7a76\u9662\u4ece\u4e8b\u4e92\u8054\u7f51\u641c\u7d22\u7b97\u6cd5\u7814\u7a76\u5de5\u4f5c\uff0c\u5728WWW\u7b49\u56fd\u9645\u4f1a\u8bae\u53d1\u8868\u56fe\u53ca\u77e9\u9635\u8ba1\u7b97\u65b9\u5411\u8bba\u6587\u591a\u7bc7\u3002\u76ee\u524d\u4ece\u4e8b\u91d1\u878d\u98ce\u9669\u7ba1\u7406\u548c\u7814\u7a76<\/span><span style=\"color: rgb(63, 63, 63);font-size: 15px;letter-spacing: 0.578px;font-family: mp-quote, -apple-system-font, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, 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8px;margin-bottom: 0px;margin-left: 8px;letter-spacing: 0.578px;white-space: normal;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\"><br  \/><\/span><\/section>\n<h3 style=\"white-space: normal;outline: 0px;color: rgb(34, 34, 34);letter-spacing: 0.544px;font-family: -apple-system, 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);visibility: visible;\">\n<section powered-by=\"xiumi.us\" style=\"outline: 0px;letter-spacing: 0.544px;font-family: PingFangSC-light;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;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;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;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  \/><\/section>\n<section style=\"outline: 0px;float: right;width: 8px;height: 3px;background-color: rgb(33, 166, 210);line-height: 0;visibility: visible;\"><br  \/><\/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;font-family: mp-quote, -apple-system-font, BlinkMacSystemFont, &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;\"><strong style=\"outline: 0px;text-align: left;color: rgb(33, 166, 210);font-family: PingFangSC-light;letter-spacing: 0.544px;visibility: visible;\">\u5706\u684c\u5609\u5bbe<\/strong><\/strong><\/p>\n<\/section>\n<section style=\"margin-top: -2px;outline: 0px;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  \/><\/section>\n<section style=\"outline: 0px;float: right;width: 8px;height: 3px;background-color: rgb(33, 166, 210);line-height: 0;visibility: visible;\"><br  \/><\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/h3>\n<h3 style=\"margin-right: 8px;margin-left: 8px;letter-spacing: 0.578px;white-space: pre-wrap;line-height: 1.75em;\"><\/h3>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;letter-spacing: 0.578px;white-space: normal;line-height: 1.75em;text-align: center;\"><br  \/><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;letter-spacing: 0.578px;white-space: normal;line-height: 1.75em;text-align: center;\"><img class=\"rich_pages wxw-img\" data-height=\"830\" data-ratio=\"0.9787735849056604\" data-type=\"png\" data-w=\"848\" data-width=\"848\" style=\"width: 151px;height: auto !important;\"  src=\"\/wp-content\/uploads\/2023\/06\/wxsync-2023-06-73eb54819a2ed64a92a5a47809db2c03.png\"  \/><\/section>\n<h3 style=\"margin-right: 8px;margin-left: 8px;letter-spacing: 0.578px;white-space: pre-wrap;line-height: 1.75em;\"><strong><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u9648\u5b50\u6602<\/span><\/strong><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\uff0c\u675c\u514b\u5927\u5b66\u6570\u5b66\u7cfb\u535a\u58eb\uff0c\u5e08\u4ece\u9c81\u5251\u950b\u6559\u6388\u3002\u7814\u7a76\u65b9\u5411\u4e3a\u673a\u5668\u5b66\u4e60\u7406\u8bba\u3001\u4f18\u5316\u3001\u504f\u5fae\u5206\u65b9\u7a0b\u7b49\uff0c\u90e8\u5206\u7814\u7a76\u6210\u679c\u53d1\u8868\u4e8eSIAM J. Optim.\uff0cNeurIPS\uff0cICLR\u7b49\u671f\u520a<\/span><span style=\"letter-spacing: 0.578px;font-family: mp-quote, -apple-system-font, BlinkMacSystemFont, &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: 15px;color: rgb(63, 63, 63);\">\u6216\u4f1a\u8bae\u3002<\/span><\/h3>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;letter-spacing: 0.578px;white-space: normal;line-height: 1.75em;\"><br  \/><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;letter-spacing: 0.578px;white-space: normal;line-height: 1.75em;text-align: center;\"><img class=\"rich_pages wxw-img\" data-height=\"602\" data-ratio=\"1\" data-type=\"jpeg\" data-w=\"602\" data-width=\"602\" style=\"width: 145px;height: auto !important;\"  src=\"\/wp-content\/uploads\/2023\/06\/wxsync-2023-06-efd6de0b589ebf29fc39d8745fab39de.jpeg\"  \/><\/section>\n<h3 style=\"margin-right: 8px;margin-left: 8px;letter-spacing: 0.578px;white-space: pre-wrap;line-height: 1.75em;\"><strong><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u8303\u957f\u4fca<\/span><\/strong><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\uff0c<\/span><span style=\"color: rgb(63, 63, 63);font-size: 15px;font-family: mp-quote, -apple-system-font, BlinkMacSystemFont, &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: 0.034em;\">\u56fd\u9632\u79d1\u6280\u5927\u5b66\u7cfb\u7edf\u5de5\u7a0b\u5b66\u9662\u526f\u6559\u6388\u3002\u7814\u7a76\u65b9\u5411\u5305\u62ec\u56fe\u6df1\u5ea6\u5b66\u4e60\u3001\u7ec4\u5408\u4f18\u5316\u3001\u5f3a\u5316\u5b66\u4e60\u53ca\u5176\u5728\u667a\u80fd\u51b3\u7b56\u3001\u590d\u6742\u7cfb\u7edf\u548c\u6307\u6325\u63a7\u5236\u4e2d\u7684\u5e94\u7528\u3002\u4ee5\u7b2c\u4e00\u4f5c\u8005\u6216\u901a\u8baf\u4f5c\u8005\u5728Nature Machine Intelligence\u3001Nature Communications\u3001AAAI\u7b49\u9876\u7ea7\u671f\u520a\u548c\u4f1a\u8bae\u53d1\u8868\u8bba\u6587\u591a\u7bc7\u3002<\/span><\/h3>\n<section style=\"margin-left: 8px;margin-right: 8px;margin-bottom: 0px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\"><br  \/><\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;margin-bottom: 0px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\"><br  \/><\/span><\/section>\n<h3 style=\"outline: 0px;color: rgb(34, 34, 34);letter-spacing: 0.544px;font-family: -apple-system, 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);visibility: visible;\">\n<section powered-by=\"xiumi.us\" style=\"outline: 0px;letter-spacing: 0.544px;font-family: PingFangSC-light;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;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;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;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;font-family: mp-quote, -apple-system-font, BlinkMacSystemFont, &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;\"><strong style=\"outline: 0px;text-align: left;color: rgb(33, 166, 210);font-family: PingFangSC-light;letter-spacing: 0.544px;visibility: visible;\">\u4e3b\u8981\u6d89\u53ca\u5230\u7684\u53c2\u8003\u6587\u732e<\/strong><\/strong><\/p>\n<\/section>\n<section style=\"margin-top: -2px;outline: 0px;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;color: rgb(34, 34, 34);font-family: system-ui, -apple-system, &quot;system-ui&quot;, &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);line-height: 1.75em;visibility: visible;\"><br  \/><\/section>\n<section style=\"margin-right: 8px;margin-left: 8px;letter-spacing: 0.578px;white-space: normal;line-height: 1.75em;text-align: left;margin-bottom: 16px;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\"><strong>\uff08<\/strong><strong>\u91cd\u70b9\u89e3\u8bfb<\/strong><strong>\uff09Chen, Ziang, et al. &#8220;On Representing Mixed-Integer Linear Programs by Graph Neural Networks.&#8221;&nbsp;<\/strong><em><strong>arXiv preprint arXiv:2210.10759<\/strong><\/em><strong>&nbsp;(2022).<\/strong><\/span><\/section>\n<section style=\"margin-right: 8px;margin-left: 8px;letter-spacing: 0.578px;white-space: normal;line-height: 1.75em;margin-bottom: 16px;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u5bf9GNN\u6c42\u89e3MILP\u7684\u903c\u8fd1\u80fd\u529b\u8fdb\u884c\u4e86\u7406\u8bba\u63a8\u5bfc\uff0c\u5e76\u4ece\u7406\u8bba\u4e0a\u8bc1\u660e\u4e86\u6dfb\u52a0\u968f\u5373\u7279\u5f81\u7684\u65b9\u6cd5\u80fd\u591f\u63d0\u9ad8GNN\u7684\u6c42\u89e3\u80fd\u529b\uff0c\u4e3a\u5b9e\u8df5\u63d0\u4f9b\u4e86\u7406\u8bba\u4f9d\u636e\u3002<\/span><\/section>\n<section style=\"margin-right: 8px;margin-left: 8px;letter-spacing: 0.578px;white-space: normal;line-height: 1.75em;text-align: left;margin-bottom: 16px;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">OpenReview: https:\/\/openreview.net\/forum?id=4gc3MGZra1d<\/span><\/section>\n<section style=\"margin-right: 8px;margin-left: 8px;letter-spacing: 0.578px;white-space: normal;line-height: 1.75em;margin-bottom: 16px;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\"><strong>\uff08<\/strong><strong>\u91cd\u70b9\u89e3\u8bfb<\/strong><strong>\uff09Chen, Ziang, et al. &#8220;On representing linear programs by graph neural networks.&#8221;&nbsp;<\/strong><em><strong>arXiv preprint arXiv:2209.12288<\/strong><\/em><strong>&nbsp;(2022).<\/strong><\/span><\/section>\n<section style=\"margin-right: 8px;margin-left: 8px;letter-spacing: 0.578px;white-space: normal;line-height: 1.75em;margin-bottom: 16px;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u5bf9GNN\u6c42\u89e3LP\u95ee\u9898\u8fdb\u884c\u4e86\u7406\u8bba\u5206\u6790\u4e0e\u8bc1\u660e\u3002<\/span><\/section>\n<section style=\"margin-right: 8px;margin-left: 8px;letter-spacing: 0.578px;white-space: normal;line-height: 1.75em;text-align: left;margin-bottom: 16px;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">Youtube\u89e3\u8bfb\uff1ahttps:\/\/www.youtube.com\/watch?v=JGltmDUFA10<\/span><\/section>\n<section style=\"margin-right: 8px;margin-left: 8px;letter-spacing: 0.578px;white-space: normal;line-height: 1.75em;text-align: left;margin-bottom: 16px;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">Gasse M, Ch\u00e9telat D, Ferroni N, et al. Exact combinatorial optimization with graph convolutional neural networks[J]. Advances in neural information processing systems, 2019, 32.<\/span><\/section>\n<section style=\"margin-right: 8px;margin-left: 8px;letter-spacing: 0.578px;white-space: normal;line-height: 1.75em;margin-bottom: 16px;\"><span style=\"color: rgb(63, 63, 63);font-size: 15px;letter-spacing: 0.578px;font-family: mp-quote, -apple-system-font, BlinkMacSystemFont, &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;\">\u5c06MILP\u95ee\u9898\u5efa\u6a21\u6210\u56fe\uff0c\u91c7\u7528GNN\u6765\u8fdb\u884c\u8f85\u52a9\u6c42\u89e3<\/span><br  \/><\/section>\n<section style=\"margin-right: 8px;margin-left: 8px;letter-spacing: 0.578px;white-space: normal;line-height: 1.75em;text-align: left;margin-bottom: 16px;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">Zhang B, Luo S, Wang L, et al. Rethinking the expressive power of gnns via graph biconnectivity[J]. arXiv preprint arXiv:2301.09505, 2023.<\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;letter-spacing: 0.578px;white-space: normal;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u672c\u6587\u7814\u7a76\u4e86\u4f5c\u4e3aGNN\u8868\u8fbe\u80fd\u529b\u5ea6\u91cf\u7684\u53cc\u8fde\u901a\u6027\u3002\u4f5c\u8005\u63d0\u51fa\u4e86\u4e00\u79cd\u5229\u7528\u8282\u70b9\u95f4\u8ddd\u79bb\u7684\u65b0\u7b97\u6cd5\uff0c\u5e76\u5728\u5408\u6210\u548c\u73b0\u5b9e\u4e16\u754c\u6570\u636e\u4e2d\u8fdb\u884c\u4e86\u9a8c\u8bc1\u3002<\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;letter-spacing: 0.578px;white-space: normal;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\"><br  \/><\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;letter-spacing: 0.578px;white-space: normal;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\"><br  \/><\/span><\/section>\n<h3 style=\"white-space: normal;outline: 0px;color: rgb(34, 34, 34);letter-spacing: 0.544px;font-family: -apple-system, 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);visibility: visible;\">\n<section powered-by=\"xiumi.us\" style=\"outline: 0px;letter-spacing: 0.544px;font-family: PingFangSC-light;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;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;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;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;font-family: mp-quote, -apple-system-font, BlinkMacSystemFont, &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;\"><strong style=\"outline: 0px;text-align: left;color: rgb(33, 166, 210);font-family: PingFangSC-light;letter-spacing: 0.544px;visibility: visible;\">\u4e3b\u8981\u6d89\u53ca\u7684\u524d\u7f6e\u77e5\u8bc6<\/strong><\/strong><\/p>\n<\/section>\n<section style=\"margin-top: -2px;outline: 0px;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;white-space: normal;outline: 0px;color: rgb(34, 34, 34);font-family: system-ui, -apple-system, &quot;system-ui&quot;, &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);line-height: 1.75em;visibility: visible;\"><span style=\"color: rgba(0, 0, 0, 0.9);font-family: mp-quote, -apple-system-font, BlinkMacSystemFont, &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: 0.034em;\"><br  \/><\/span><\/section>\n<p style=\"margin-right: 8px;margin-bottom: 8px;margin-left: 8px;white-space: normal;outline: 0px;color: rgb(34, 34, 34);font-family: system-ui, -apple-system, &quot;system-ui&quot;, &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);line-height: 1.75em;visibility: visible;\"><span style=\"font-family: mp-quote, -apple-system-font, BlinkMacSystemFont, &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: 0.034em;color: rgb(63, 63, 63);font-size: 15px;\">&nbsp;\u2022&nbsp;\u56fe\u795e\u7ecf\u7f51\u7edc\uff08Graph Neural Network\uff09<\/span><\/p>\n<p style=\"margin-right: 8px;margin-bottom: 8px;margin-left: 8px;white-space: normal;outline: 0px;color: rgb(34, 34, 34);font-family: system-ui, -apple-system, &quot;system-ui&quot;, &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);line-height: 1.75em;visibility: visible;\"><span style=\"font-family: mp-quote, -apple-system-font, BlinkMacSystemFont, &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: 0.034em;color: rgb(63, 63, 63);font-size: 15px;\">&nbsp;\u2022&nbsp;\u79bb\u6563\/\u6574\u6570\/\u7ec4\u5408\/\u975e\u51f8\u4f18\u5316\u7684\u4ecb\u7ecd<\/span><\/p>\n<section style=\"margin-right: 8px;margin-bottom: 8px;margin-left: 8px;letter-spacing: 0.578px;white-space: normal;line-height: 1.75em;\"><span style=\"color: rgb(63, 63, 63);font-size: 15px;\">\u8fd0\u7b79\u5b66\u5728\u56fd\u5185\uff0c\u8fdc\u6ca1\u6709\u65b0\u5174\u7684\u4eba\u5de5\u667a\u80fd\u4ee5<\/span><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u53ca\u4f20\u7edf\u5b66\u79d1\u7edf\u8ba1\u6765\u7684\u666e\u53ca\u3002\u4eba\u5de5\u667a\u80fd\u3001\u7edf\u8ba1\u6700\u540e\u51e0\u4e4e\u90fd\u80fd\u5316\u7b80\u6210\u6c42\u89e3\u5173\u4e8e\u4e00\u4e2a\u80fd\u91cf\/\u635f\u5931\u51fd\u6570\u7684\u4f18\u5316\u95ee\u9898\u3002\u4f46\u76f8\u4fe1\u5f88\u591a\u4eba\u4e0d\u77e5\u9053\uff0c\u8fd0\u7b79\u5b66\u6b63\u662f\u7814\u7a76\u4f18\u5316\u7406\u8bba\u7684\u5b66\u79d1\u3002\u800c\u56e0\u6b64\uff0c\u6211\u628a\u8fd0\u7b79\u5b66\u79f0\u4e3a\u4eba\u5de5\u667a\u80fd\u3001\u5927\u6570\u636e\u7684\u201c\u5f15\u64ce\u201d\uff0c\u6b63\u672c\u6e05\u6e90\u5176\u5728\u4eba\u5de5\u667a\u80fd\u4e2d\u91cd\u8981\u6027\u3002\u8fd9\u7bc7\u6587\u7ae0\u5305\u62ec\u7684\u5185\u5bb9\u6709\u8fd0\u7b79\u5b66\u3001\u7ebf\u6027\u89c4\u5212\u56de\u987e \u3001\u6574\u6570\u89c4\u5212\u95ee\u9898 \u3001\u4ec0<\/span><span style=\"color: rgb(63, 63, 63);font-size: 15px;\">\u4e48\u662f\u7ec4\u5408\u4f18\u5316\u3001\u975e\u51f8\u4f18\u5316\u3001\u6574\u6570\u89c4\u5212\u4e0e\u975e\u51f8\u4f18\u5316\u7684\u5173\u7cfb\u3001\u6574\u6570\u89c4\u5212\u548c\u975e\u51f8\u4f18\u5316\u4e3a\u4f55\u91cd\u8981\u3001\u6574\u6570\u89c4\u5212\u5728\u5de5\u4e1a\u754c\u7684\u5e94\u7528\u3001\u6574\u6570\u89c4\u5212\u5728AI\u7684\u5e94\u7528\u548c\u5c55\u671b\u3002<\/span><\/section>\n<p style=\"margin-right: 8px;margin-bottom: 8px;margin-left: 8px;letter-spacing: 0.578px;white-space: normal;line-height: 1.75em;text-align: left;\"><span style=\"color: rgb(63, 63, 63);font-size: 15px;\">https:\/\/www.zhihu.com\/tardis\/zm\/art\/27429666?source_id=1005<\/span><\/p>\n<p style=\"margin-right: 8px;margin-bottom: 8px;margin-left: 8px;letter-spacing: 0.578px;white-space: normal;line-height: 1.75em;\"><br  \/><\/p>\n<p style=\"margin-right: 8px;margin-bottom: 8px;margin-left: 8px;letter-spacing: 0.578px;white-space: normal;line-height: 1.75em;\"><span style=\"font-family: mp-quote, -apple-system-font, BlinkMacSystemFont, &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: 0.034em;color: rgb(63, 63, 63);font-size: 15px;\">&nbsp;\u2022&nbsp;\u56fe\u540c\u6784\u6d4b\u8bd5\uff08Weisfeiler-Lehman Test\uff09<\/span><\/p>\n<p style=\"margin-right: 8px;margin-bottom: 8px;margin-left: 8px;letter-spacing: 0.578px;white-space: normal;line-height: 1.75em;\"><span style=\"color: rgb(63, 63, 63);font-size: 15px;\">Weisfeiler-Lehman\u7b97\u6cd5\u5728\u5927\u591a\u6570\u56fe\u4e0a\u4f1a\u5f97\u5230\u4e00\u4e2a\u72ec\u4e00\u65e0\u4e8c\u7684\u7279\u5f81\u96c6\u5408\uff0c\u8fd9\u610f\u5473\u7740\u56fe\u4e0a\u7684\u6bcf\u4e00\u4e2a\u8282\u70b9\u90fd\u6709\u7740\u72ec\u4e00\u65e0\u4e8c\u7684\u89d2\u8272\u5b9a\u4f4d\u3002\u56e0\u6b64\uff0c\u5bf9\u4e8e\u5927\u591a\u6570\u975e\u89c4\u5219\u7684\u56fe\u7ed3\u6784<\/span><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\uff0c\u7ecf\u7b97\u6cd5\u5904\u7406\u540e\u5f97\u5230\u7684\u7279\u5f81\u53ef\u4ee5\u4f5c\u4e3a\u56fe\u662f\u5426\u540c\u6784\u7684\u5224\u522b\u4f9d\u636e\uff0c\u4e5f\u5c31\u662fWL\u6d4b\u8bd5\u3002<\/span><\/p>\n<p style=\"margin-right: 8px;margin-bottom: 8px;margin-left: 8px;letter-spacing: 0.578px;white-space: normal;line-height: 1.75em;text-align: left;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">https:\/\/archwalker.github.io\/blog\/2019\/06\/22\/GNN-Theory-WL.html<\/span><\/p>\n<p style=\"margin-right: 8px;margin-bottom: 8px;margin-left: 8px;letter-spacing: 0.578px;white-space: normal;line-height: 1.75em;text-align: left;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">https:\/\/blog.csdn.net\/qq_27075943\/article\/details\/106652510<\/span><\/p>\n<p style=\"margin-right: 8px;margin-bottom: 8px;margin-left: 8px;letter-spacing: 0.578px;white-space: normal;line-height: 1.75em;text-align: left;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">https:\/\/blog.csdn.net\/Da<\/span><span style=\"color: rgb(63, 63, 63);font-size: 15px;\">tawhale\/article\/details\/111398979<\/span><\/p>\n<p style=\"margin-right: 8px;margin-bottom: 8px;margin-left: 8px;letter-spacing: 0.578px;white-space: normal;line-height: 1.75em;text-align: left;\"><span style=\"color: rgb(63, 63, 63);font-size: 15px;\">https:\/\/zhuanlan.zhihu.com\/p\/333398731<\/span><\/p>\n<p style=\"margin-right: 8px;margin-bottom: 8px;margin-left: 8px;letter-spacing: 0.578px;white-space: normal;line-height: 1.75em;\"><span style=\"color: rgb(63, 63, 63);font-size: 15px;\"><strong style=\"font-family: mp-quote, -apple-system-font, BlinkMacSystemFont, &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: 0.034em;\">&nbsp;<\/strong><\/span><\/p>\n<p style=\"margin-right: 8px;margin-bottom: 8px;margin-left: 8px;letter-spacing: 0.578px;white-space: normal;line-height: 1.75em;\"><span style=\"color: rgb(63, 63, 63);font-size: 15px;\"><strong style=\"font-family: mp-quote, -apple-system-font, BlinkMacSystemFont, &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: 0.034em;\">\u2022&nbsp;\u76f4\u6d41\u6700\u4f18\u6f6e\u6d41\uff08<\/strong><span style=\"font-family: mp-quote, -apple-system-font, BlinkMacSystemFont, &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: 0.034em;\">DC optimal power flow\uff09<\/span><\/span><\/p>\n<p style=\"margin-right: 8px;margin-bottom: 8px;margin-left: 8px;letter-spacing: 0.578px;white-space: normal;line-height: 1.75em;\"><span style=\"color: rgb(63, 63, 63);font-size: 15px;\">\u6700\u4f18\u6f6e\u6d41\u662f\u4ece\u7535\u529b\u7cfb\u7edf\u7a33\u5b9a\u8fd0\u884c\u7684\u89d2\u5ea6\u6765\u8c03\u6574\u7cfb\u7edf\u4e2d\u5404\u79cd\u63a7\u5236\u8bbe\u5907\u7684\u53c2\u6570\uff0c\u5728\u6ee1\u8db3\u8282\u70b9\u6b63\u5e38\u529f\u7387\u5e73\u8861\u53ca\u5404\u79cd\u5b89\u5168\u6307\u6807\u7684\u7ea6\u675f\u4e0b\uff0c\u5b9e\u73b0\u76ee\u6807\u51fd\u6570\u6700\u5c0f\u5316\u7684\u4f18\u5316\u8fc7\u7a0b\u3002<\/span><\/p>\n<p style=\"margin-right: 8px;margin-bottom: 8px;margin-left: 8px;letter-spacing: 0.578px;white-space: normal;line-height: 1.75em;text-align: left;\"><span style=\"color: rgb(63, 63, 63);font-size: 15px;\">https:\/\/ieeexplore.ieee.org\/document\/6486058<\/span><\/p>\n<p style=\"margin-right: 8px;margin-bottom: 8px;margin-left: 8px;letter-spacing: 0.578px;white-space: normal;line-height: 1.75em;text-align: left;\"><span style=\"color: rgb(63, 63, 63);font-size: 15px;\">https:\/\/mp.weixin.qq.com\/s\/u-i5psFQSMlV83RfoiO-9Q<\/span><\/p>\n<p style=\"margin-right: 8px;margin-bottom: 8px;margin-left: 8px;letter-spacing: 0.578px;white-space: normal;line-height: 1.75em;text-align: left;\"><span style=\"color: rgb(63, 63, 63);font-size: 15px;\">https:\/\/zhuanlan.zhihu.com\/p\/450276292<\/span><\/p>\n<p style=\"margin-right: 8px;margin-bottom: 8px;margin-left: 8px;letter-spacing: 0.578px;white-space: normal;line-height: 1.75em;\"><br  \/><\/p>\n<p style=\"margin-right: 8px;margin-bottom: 8px;margin-left: 8px;letter-spacing: 0.578px;white-space: normal;line-height: 1.75em;\"><span style=\"font-family: mp-quote, -apple-system-font, BlinkMacSystemFont, &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: 0.034em;color: rgb(63, 63, 63);font-size: 15px;\">&nbsp;\u2022&nbsp;\u901a\u7528\u903c\u8fd1\u5b9a\u7406\uff08Universal Approximation Property\uff09<\/span><\/p>\n<p style=\"margin-right: 8px;margin-bottom: 8px;margin-left: 8px;letter-spacing: 0.578px;white-space: normal;line-height: 1.75em;\"><span style=\"color: rgb(63, 63, 63);font-size: 15px;\">\u5728\u4eba\u5de5\u795e\u7ecf\u7f51\u7edc\u7684\u6570\u5b66\u7406\u8bba\u4e2d\uff0c<strong>\u901a\u7528\u903c\u8fd1\u5b9a\u7406<\/strong>\u662f\u5728\u7ed9\u5b9a\u7684\u51fd\u6570\u7a7a\u95f4\u5185\u5efa\u7acb\u7b97\u6cd5\u751f\u6210\u7684\u51fd\u6570\u7c7b\u5bc6\u5ea6\u7684\u7ed3\u679c\u3002\u901a\u5e38\uff0c\u8fd9\u4e9b\u7ed3\u679c\u6d89\u53ca\u524d\u9988\u67b6\u6784\u5728\u4e24\u4e2a\u6b27\u51e0\u91cc\u5f97\u7a7a\u95f4\u4e4b\u95f4\u7684\u8fde\u7eed\u51fd\u6570\u7a7a\u95f4\u4e0a\u7684\u903c\u8fd1\u80fd\u529b\uff0c\u5e76\u4e14\u8be5\u903c\u8fd1\u662f\u76f8\u5bf9\u4e8e\u7d27\u51d1\u6536\u655b\u62d3\u6251\u800c\u8a00\u7684\u3002<\/span><\/p>\n<p style=\"margin-right: 8px;margin-bottom: 8px;margin-left: 8px;letter-spacing: 0.578px;white-space: normal;line-height: 1.75em;text-align: left;\"><span style=\"color: rgb(63, 63, 63);font-size: 15px;\">https:\/\/blog.csdn.net\/qq_40206371\/article\/details\/127192727<\/span><\/p>\n<p style=\"margin-right: 8px;margin-bottom: 8px;margin-left: 8px;letter-spacing: 0.578px;white-space: normal;line-height: 1.75em;text-align: left;\"><span style=\"color: rgb(63, 63, 63);font-size: 15px;\">https:\/\/zhuanlan.zhihu.com\/p\/443284394<\/span><\/p>\n<p style=\"margin-right: 8px;margin-bottom: 8px;margin-left: 8px;letter-spacing: 0.578px;white-space: normal;line-height: 1.75em;\"><br  \/><\/p>\n<p style=\"margin-right: 8px;margin-bottom: 8px;margin-left: 8px;letter-spacing: 0.578px;white-space: normal;line-height: 1.75em;\"><span style=\"font-family: mp-quote, -apple-system-font, BlinkMacSystemFont, &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: 0.034em;color: rgb(63, 63, 63);font-size: 15px;\">&nbsp;\u2022&nbsp;\u5362\u8f9b\u5b9a\u7406\uff08Lusin\u2019s theorem\uff09<\/span><\/p>\n<p style=\"margin-right: 8px;margin-bottom: 8px;margin-left: 8px;letter-spacing: 0.578px;white-space: normal;line-height: 1.75em;\"><span style=\"color: rgb(63, 63, 63);font-size: 15px;\">\u5728\u5b9e\u5206\u6790\u7684\u6570\u5b66\u9886\u57df\uff0c\u5362\u8f9b\u5b9a\u7406\uff08\u4ee5\u5c3c\u53e4\u62c9\u00b7\u5362\u8f9b\u547d\u540d\uff09\u6216\u5362\u8f9b\u51c6\u5219\u6307\u51fa\uff0c\u6709\u9650\u51fd\u6570\u51e0\u4e4e\u5904\u5904\u662f\u53ef\u6d4b\u7684\uff0c\u5f53\u4e14\u4ec5\u5f53\u5b83\u5728\u51e0\u4e4e\u6240\u6709\u57df\u4e0a\u90fd\u662f\u8fde\u7eed\u51fd\u6570\u65f6\u3002<\/span><\/p>\n<p style=\"margin-right: 8px;margin-bottom: 8px;margin-left: 8px;letter-spacing: 0.578px;white-space: normal;line-height: 1.75em;text-align: left;\"><span style=\"color: rgb(63, 63, 63);font-size: 15px;\">https:\/\/en.wikipedia.org\/wiki\/Lusin%27s_theorem<\/span><\/p>\n<p style=\"margin-right: 8px;margin-bottom: 8px;margin-left: 8px;letter-spacing: 0.578px;white-space: normal;line-height: 1.75em;text-align: left;\"><span style=\"color: rgb(63, 63, 63);font-size: 15px;\">https:\/\/zhuanlan.zhihu.com\/p\/369876259<\/span><\/p>\n<p style=\"margin-right: 8px;margin-bottom: 8px;margin-left: 8px;letter-spacing: 0.578px;white-space: normal;line-height: 1.75em;text-align: left;\"><span style=\"color: rgb(63, 63, 63);font-size: 15px;\">https:\/\/www.zhihu.com\/question\/488109662<\/span><\/p>\n<p style=\"margin-right: 8px;margin-bottom: 8px;margin-left: 8px;letter-spacing: 0.578px;white-space: normal;line-height: 1.75em;\"><br  \/><\/p>\n<p style=\"margin-right: 8px;margin-bottom: 8px;margin-left: 8px;letter-spacing: 0.578px;white-space: normal;line-height: 1.75em;\"><span style=\"font-family: mp-quote, -apple-system-font, BlinkMacSystemFont, &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: 0.034em;color: rgb(63, 63, 63);font-size: 15px;\">&nbsp;\u2022&nbsp;\u65af\u901a-\u7ef4\u5c14\u65af\u7279\u62c9\u65af\u5b9a\u7406\uff08Stone-Weierstrass Theorem\uff09<\/span><\/p>\n<p style=\"margin-right: 8px;margin-bottom: 8px;margin-left: 8px;letter-spacing: 0.578px;white-space: normal;line-height: 1.75em;\"><span style=\"color: rgb(63, 63, 63);font-size: 15px;\">Weierstrass\u5728\u51761885\u5e74\u7684\u8bba\u6587\u4e2d\u63d0\u51fa\u4e86Weierstrass A<\/span><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">pproximation Theorem\uff0c\u6839\u636e\u8be5\u5b9a\u7406\uff0c\u5bf9\u4e8e\u4efb\u4f55\u5b9a\u4e49\u5728 [a,b] \u4e0a\u7684\u8fde\u7eed\u5b9e\u503c\u51fd\u6570 f \uff0c\u5b58\u5728\u4e00\u4e2a\u591a\u9879\u5f0f\u51fd\u6570\u5e8f\u5217\uff0c\u8be5\u5e8f\u5217\u4e00\u81f4\u6536\u655b\u4e8e f\u3002\u4e4b\u540e\uff0cStone\u5bf9\u8be5\u5b9a\u7406\u8fdb\u884c\u4e86\u6269\u5c55\uff0c\u6700\u540e\u5f97\u5230\u7684\u5b9a\u7406\u5373\u662fStone-Weierstrass Theorem\u3002<\/span><\/p>\n<p style=\"margin-right: 8px;margin-bottom: 8px;margin-left: 8px;letter-spacing: 0.578px;white-space: normal;line-height: 1.75em;text-align: left;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">https:\/\/en.wikipedia.org\/wiki\/Stone%E2%80%93Weierstrass_theorem<\/span><\/p>\n<p style=\"margin-right: 8px;margin-bottom: 8px;margin-left: 8px;letter-spacing: 0.578px;white-space: normal;line-height: 1.75em;text-align: left;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">https:\/\/zhuanlan.zhihu.com\/p\/47464597<\/span><\/p>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;letter-spacing: 0.578px;white-space: normal;line-height: 1.75em;text-align: left;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">https:\/\/math.fudan.edu.cn\/_upload\/article\/files\/aa\/15\/6c4809a740b286d876f9f514130f\/5f9939f2-2a08-46ed-9290-4ecda9c903b0.pdf<\/span><\/section>\n<section style=\"margin-bottom: 0px;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\"><br  \/><\/span><\/section>\n<section style=\"margin-bottom: 0px;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\"><br  \/><\/span><\/section>\n<h3 style=\"outline: 0px;color: rgb(34, 34, 34);letter-spacing: 0.544px;font-family: -apple-system, 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);visibility: visible;\">\n<section powered-by=\"xiumi.us\" style=\"outline: 0px;letter-spacing: 0.544px;font-family: PingFangSC-light;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;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;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;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, 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\/><\/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;color: rgb(34, 34, 34);font-family: system-ui, -apple-system, &quot;system-ui&quot;, &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);line-height: 1.75em;visibility: visible;\"><br style=\"outline: 0px;letter-spacing: 0.544px;white-space: normal;visibility: visible;\"  \/><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;margin-bottom: 0px;line-height: 1.75em;\"><strong><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u65f6\u95f4\uff1a<\/span><\/strong><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;margin-bottom: 0px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">2023\u5e746\u670828\u65e5\uff08\u672c\u5468\u4e09\uff09\u665a\u4e0a20:00-22:00<\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;margin-bottom: 0px;line-height: 1.75em;\"><br  \/><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;margin-bottom: 0px;line-height: 1.75em;\"><strong><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u53c2\u4e0e\u65b9\u5f0f\uff1a<\/span><\/strong><\/section>\n<section class=\"channels_iframe_wrp\"><mp-common-videosnap class=\"js_uneditable custom_select_card channels_live_iframe videosnap_live_iframe\" data-type=\"live\" data-headimgurl=\"https:\/\/wx.qlogo.cn\/finderhead\/PdibpV1sFDHdC5AR6SqCNbOfwAEdPtWSb2Y5v1iaq3YTCocFBPFM1xzQ\/0\" 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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;font-size: 14px;letter-spacing: 0.544px;white-space: normal;text-size-adjust: auto;background-color: rgb(255, 255, 255);color: rgb(34, 34, 34);text-align: center;justify-content: center;\">\n<section style=\"outline: 0px;display: inline-block;width: auto;vertical-align: top;min-width: 10%;height: auto;box-shadow: rgb(0, 0, 0) 0px 0px 0px;border-bottom: 9px solid rgb(169, 215, 227);border-bottom-right-radius: 0px;\">\n<section powered-by=\"xiumi.us\" style=\"margin-bottom: -15px;outline: 0px;\">\n<section style=\"padding-right: 10px;padding-left: 10px;outline: 0px;line-height: 2;letter-spacing: 3px;\">\n<p style=\"outline: 0px;color: rgb(12, 130, 169);font-size: 16px;\"><strong style=\"outline: 0px;\">\u96c6\u667a\u5b66\u56ed\u6700\u65b0AI\u8bfe\u7a0b\uff0c<\/strong><\/p>\n<p style=\"outline: 0px;color: rgb(12, 130, 169);font-size: 16px;\"><strong style=\"outline: 0px;\">\u5f20\u6c5f\u6559\u6388\u4eb2\u6388\uff1a<\/strong><strong style=\"outline: 0px;\">\u7b2c\u4e09\u4ee3\u4eba\u5de5\u667a\u80fd\u6280\u672f\u57fa\u7840<\/strong><\/p>\n<p style=\"outline: 0px;color: rgb(12, 130, 169);font-size: 16px;\"><strong style=\"outline: 0px;\">\u2014\u2014\u4ece\u53ef\u5fae\u5206\u7f16\u7a0b\u5230\u56e0\u679c\u63a8\u7406<\/strong><\/p>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<section powered-by=\"xiumi.us\" style=\"margin-bottom: 0px;outline: 0px;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;white-space: normal;text-size-adjust: auto;background-color: rgb(255, 255, 255);\">\n<section style=\"margin-right: 8px;margin-left: 8px;outline: 0px;color: rgb(34, 34, 34);font-family: system-ui, -apple-system, 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;line-height: 2em;\"><br  \/><\/section>\n<\/section>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;outline: 0px;color: rgb(136, 136, 136);font-size: 14px;letter-spacing: 0.544px;white-space: normal;text-size-adjust: auto;background-color: rgb(255, 255, 255);font-family: system-ui, -apple-system, 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;line-height: 2em;\"><span style=\"outline: 0px;font-size: 15px;\">\u81ea1956\u5e74\u201c\u4eba\u5de5\u667a\u80fd\u201d\u8bde\u751f\u4e8e\u8fbe\u7279\u8305\u65af\u4f1a\u8bae\u4ee5\u6765\uff0c\u5df2\u7ecf\u7ecf\u5386\u4e86\u4ece\u65e9\u671f\u7684\u4ee5\u7b26\u53f7\u63a8\u7406\u4e3a\u4e3b\u4f53\u7684\u7b2c\u4e00\u4ee3\u4eba\u5de5\u667a\u80fd\uff0c\u548c\u4ee5\u6df1\u5ea6\u795e\u7ecf\u7f51\u7edc\u3001\u673a\u5668\u5b66\u4e60\u4e3a\u4e3b\u4f53\u7684\u7b2c\u4e8c\u4ee3\u4eba\u5de5\u667a\u80fd\u3002ChatGPT\u7684\u6a2a\u7a7a\u51fa\u4e16\u3001\u751f\u6210\u5f0fAI\u7684\u666e\u53ca\u3001AI for 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auto;background-color: rgb(255, 255, 255);font-family: system-ui, -apple-system, 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;line-height: 2em;\"><br  \/><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;outline: 0px;color: rgb(136, 136, 136);font-size: 14px;letter-spacing: 0.544px;white-space: normal;text-size-adjust: auto;background-color: rgb(255, 255, 255);font-family: system-ui, -apple-system, 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;line-height: 2em;\"><span style=\"outline: 0px;font-size: 15px;\">\u672c\u8bfe\u7a0b\u8bd5\u56fe\u7cfb\u7edf\u68b3\u7406\u4ece\u673a\u5668\u5b66\u4e60\u5230\u5927\u8bed\u8a00\u6a21\u578b\uff0c\u4ece\u56fe\u795e\u7ecf\u7f51\u7edc\u5230\u56e0\u679c\u63a8\u7406\u7b49\u4e00\u7cfb\u5217\u53ef\u80fd\u6210\u4e3a\u7b2c\u4e09\u4ee3\u4eba\u5de5\u667a\u80fd\u57fa\u7840\u7684\u6280\u672f\u8981\u7d20\uff0c\u4e3a\u7814\u7a76\u8005\u6216\u5b66\u751f\u5728\u751f\u6210\u5f0fAI\u3001\u5927\u6a21\u578b\u3001AI for Science\u7b49\u76f8\u5173\u9886\u57df\u7684\u5b66\u4e60\u548c\u7814\u7a76\u5de5\u4f5c\u5960\u5b9a\u57fa\u7840\u3002<\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;outline: 0px;font-size: 14px;letter-spacing: 0.544px;white-space: normal;text-size-adjust: auto;background-color: rgb(255, 255, 255);font-family: system-ui, -apple-system, 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;color: rgb(34, 34, 34);line-height: 1.75em;\"><br  \/><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;outline: 0px;font-size: 14px;letter-spacing: 0.544px;white-space: normal;text-size-adjust: auto;background-color: rgb(255, 255, 255);font-family: system-ui, -apple-system, 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;color: rgb(34, 34, 34);line-height: 1.75em;\"><br  \/><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;outline: 0px;font-size: 14px;letter-spacing: 0.544px;white-space: normal;text-size-adjust: auto;background-color: rgb(255, 255, 255);font-family: system-ui, -apple-system, 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;color: rgb(34, 34, 34);line-height: 1.75em;text-align: center;\"><img class=\"rich_pages wxw-img\" data-height=\"500\" data-ratio=\"1\" data-type=\"png\" data-w=\"500\" data-width=\"500\" style=\"outline: 0px;visibility: visible !important;width: 136px !important;height: auto !important;\"  src=\"\/wp-content\/uploads\/2023\/06\/wxsync-2023-06-2e57625b25c9c6becec20e7958f28f43.png\"  \/><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;outline: 0px;font-size: 14px;letter-spacing: 0.544px;white-space: normal;text-size-adjust: auto;background-color: rgb(255, 255, 255);font-family: system-ui, -apple-system, 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;color: rgb(34, 34, 34);line-height: 1.75em;text-align: center;\"><span style=\"outline: 0px;color: rgb(136, 136, 136);font-size: 13px;\">https:\/\/campus.swarma.org\/course\/5084?from=wechat<\/span><\/section>\n<section style=\"margin-bottom: 0px;\"><br style=\"letter-spacing: 0.578px;white-space: normal;\"  \/><\/section>\n<section style=\"margin-bottom: 0px;\"><br  \/><\/section>\n<section powered-by=\"xiumi.us\" style=\"margin-top: 10px;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);text-align: center;justify-content: center;\">\n<section style=\"outline: 0px;display: inline-block;width: auto;vertical-align: top;min-width: 10%;height: auto;box-shadow: rgb(0, 0, 0) 0px 0px 0px;border-bottom: 9px solid rgb(169, 215, 227);border-bottom-right-radius: 0px;\">\n<section powered-by=\"xiumi.us\" style=\"margin-bottom: -15px;outline: 0px;\">\n<section style=\"padding-right: 10px;padding-left: 10px;outline: 0px;color: rgb(12, 130, 169);font-size: 16px;line-height: 2;letter-spacing: 3px;\">\n<p style=\"outline: 0px;\"><strong style=\"outline: 0px;\">AI+Science \u8bfb\u4e66\u4f1a<\/strong><\/p>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<section powered-by=\"xiumi.us\" style=\"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);\">\n<p style=\"outline: 0px;\"><br  \/><\/p>\n<\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;white-space: normal;outline: 0px;letter-spacing: 0.544px;clear: both;min-height: 1em;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);line-height: 2em;\"><span style=\"outline: 0px;font-size: 15px;letter-spacing: 0.544px;text-indent: 0em;font-family: mp-quote, -apple-system-font, BlinkMacSystemFont, &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;\">AI+Science \u662f\u8fd1\u5e74\u5174\u8d77\u7684\u5c06\u4eba\u5de5\u667a\u80fd\u548c\u79d1\u5b66\u76f8\u7ed3\u5408\u7684\u4e00\u79cd\u8d8b\u52bf\u3002\u4e00\u65b9\u9762\u662f AI for Science\uff0c\u673a\u5668\u5b66\u4e60\u548c\u5176\u4ed6 AI \u6280\u672f\u53ef\u4ee5\u7528\u6765\u89e3\u51b3\u79d1\u5b66\u7814\u7a76\u4e2d\u7684\u95ee\u9898\uff0c\u4ece\u9884\u6d4b\u5929\u6c14\u548c\u86cb\u767d\u8d28\u7ed3\u6784\uff0c\u5230\u6a21\u62df\u661f\u7cfb\u78b0\u649e\u3001\u8bbe\u8ba1\u4f18\u5316\u6838\u805a\u53d8\u53cd\u5e94\u5806\uff0c\u751a\u81f3\u50cf\u79d1\u5b66\u5bb6\u4e00\u6837\u8fdb\u884c\u79d1\u5b66\u53d1\u73b0\uff0c\u88ab\u79f0\u4e3a\u79d1\u5b66\u53d1\u73b0\u7684\u201c\u7b2c\u4e94\u8303\u5f0f\u201d\u3002\u53e6\u4e00\u65b9\u9762\u662f Science for AI\uff0c\u79d1\u5b66\u5c24\u5176\u662f\u7269\u7406\u5b66\u4e2d\u7684\u89c4\u5f8b\u548c\u601d\u60f3\u542f\u53d1\u673a\u5668\u5b66\u4e60\u7406\u8bba\uff0c\u4e3a\u4eba\u5de5\u667a\u80fd\u7684\u53d1\u5c55\u63d0\u4f9b\u5168\u65b0\u7684\u89c6\u89d2\u548c\u65b9\u6cd5\u3002<\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;white-space: normal;outline: 0px;letter-spacing: 0.544px;clear: both;min-height: 1em;color: rgb(136, 136, 136);font-size: 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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);line-height: 2em;\"><span style=\"font-size: 15px;letter-spacing: 0.544px;text-indent: 0em;font-family: mp-quote, -apple-system-font, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, 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style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;white-space: normal;outline: 0px;clear: both;min-height: 1em;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);line-height: 2em;\"><span style=\"font-family: mp-quote, -apple-system-font, BlinkMacSystemFont, &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: 15px;letter-spacing: 0.544px;text-indent: 0em;\"><br  \/><\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;white-space: normal;outline: 0px;clear: both;min-height: 1em;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);line-height: 2em;\"><span style=\"font-family: mp-quote, -apple-system-font, BlinkMacSystemFont, &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: 15px;letter-spacing: 0.544px;text-indent: 0em;\">\u4e3a\u4e86\u63a2\u8ba8\u56fe\u795e\u7ecf\u7f51\u7edc\u5728\u7b97\u6cd5\u795e\u7ecf\u5316\u6c42\u89e3\u7684\u53d1\u5c55\u4e0e\u73b0\u5b9e\u5e94\u7528\uff0c\u96c6\u667a\u4ff1\u4e50\u90e8\u8054\u5408\u56fd\u9632\u79d1\u6280\u5927\u5b66\u7cfb\u7edf\u5de5\u7a0b\u5b66\u9662\u526f\u6559\u6388\u8303\u957f\u4fca\u3001\u4e2d\u56fd\u4eba\u6c11\u5927\u5b66\u9ad8\u74f4\u4eba\u5de5\u667a\u80fd\u5b66\u9662\u52a9\u7406\u6559\u6388\u9ec4\u6587\u70b3\uff0c\u5171\u540c\u53d1\u8d77\u300c\u56fe\u795e\u7ecf\u7f51\u7edc\u4e0e\u7ec4\u5408\u4f18\u5316\u300d\u8bfb\u4e66\u4f1a\u3002\u8bfb\u4e66\u4f1a\u5c06\u805a\u7126\u4e8e\u56fe\u795e\u7ecf\u7f51\u7edc\u4e0e\u7b97\u6cd5\u795e\u7ecf\u5316\u6c42\u89e3\u7684\u76f8\u5173\u9886\u57df\uff0c\u5305\u62ec\u795e\u7ecf\u7b97\u6cd5\u63a8\u7406\u3001\u7ec4\u5408\u4f18\u5316\u95ee\u9898\u6c42\u89e3\u3001\u51e0\u4f55\u56fe\u795e\u7ecf\u7f51\u7edc\uff0c\u4ee5\u53ca\u7b97\u6cd5\u795e\u7ecf\u5316\u6c42\u89e3\u5728 AI for Science \u4e2d\u7684\u5e94\u7528\u7b49\u65b9\u9762\uff0c\u5e0c\u671b\u4e3a\u53c2\u4e0e\u8005\u63d0\u4f9b\u4e00\u4e2a\u5b66\u672f\u4ea4\u6d41\u5e73\u53f0\uff0c\u6fc0\u53d1\u53c2\u4e0e\u8005\u7684\u5b66\u672f\u5174\u8da3\uff0c\u8fdb\u4e00\u6b65\u63a8\u52a8\u76f8\u5173\u9886\u57df\u7684\u7814\u7a76\u548c\u5e94\u7528\u53d1\u5c55\u3002\u8bfb\u4e66\u4f1a\u4ece2023\u5e746\u670814\u65e5\u5f00\u59cb\uff0c\u6bcf\u5468\u4e09\u665a 19:00-21:00 \u4e3e\u884c\uff0c\u6301\u7eed\u65f6\u95f4\u9884\u8ba18\u5468\u3002\u6b22\u8fce\u611f\u5174\u8da3\u7684\u670b\u53cb\u62a5\u540d\u53c2\u4e0e\uff01<\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 2em;text-indent: 0em;\"><span style=\"color: rgb(136, 136, 136);font-size: 15px;letter-spacing: 0.544px;text-decoration-style: solid;text-decoration-color: rgb(136, 136, 136);\"><br  \/><\/span><\/section>\n<section style=\"margin-right: 8px;margin-left: 8px;text-align: center;\"><a target=\"_blank\" href=\"http:\/\/mp.weixin.qq.com\/s?__biz=MzIzMjQyNzQ5MA==&amp;mid=2247663464&amp;idx=1&amp;sn=073e3d7c6d0ac643a93d01a7fd4d624f&amp;chksm=e89925e5dfeeacf3b350427aaf66812d11f458381944a2ada8a4ed19921ccc29a88708504490&amp;scene=21#wechat_redirect\" textvalue=\"\u4f60\u5df2\u9009\u4e2d\u4e86\u6dfb\u52a0\u94fe\u63a5\u7684\u5185\u5bb9\" linktype=\"text\" imgurl=\"\" imgdata=\"null\" data-itemshowtype=\"0\" tab=\"innerlink\" data-linktype=\"1\" rel=\"noopener noreferrer\"><span class=\"js_jump_icon h5_image_link\"><img class=\"rich_pages wxw-img\" data-backh=\"239\" data-backw=\"562\" data-cropselx1=\"0\" data-cropselx2=\"562\" data-cropsely1=\"0\" data-cropsely2=\"224\" data-galleryid=\"\" data-ratio=\"0.4255555555555556\" data-s=\"300,640\" data-type=\"png\" data-w=\"900\" style=\"width: 562px;height: auto !important;\"  src=\"\/wp-content\/uploads\/2023\/06\/wxsync-2023-06-ef76ed97042640607fa28adb73e9fec7.png\"  \/><\/span><\/a><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 2em;text-indent: 0em;\"><span style=\"font-size: 15px;text-decoration-style: solid;text-decoration-color: rgb(136, 136, 136);color: rgb(63, 63, 63);font-family: system-ui, -apple-system, &quot;system-ui&quot;, &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);\">\u8be6\u60c5\u8bf7\u89c1\uff1a<\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 2em;text-indent: 0em;\"><span style=\"font-family: system-ui, -apple-system, &quot;system-ui&quot;, &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);color: rgb(136, 136, 136);font-size: 15px;letter-spacing: 0.544px;text-decoration: underline;\"><a target=\"_blank\" href=\"http:\/\/mp.weixin.qq.com\/s?__biz=MzIzMjQyNzQ5MA==&amp;mid=2247663464&amp;idx=1&amp;sn=073e3d7c6d0ac643a93d01a7fd4d624f&amp;chksm=e89925e5dfeeacf3b350427aaf66812d11f458381944a2ada8a4ed19921ccc29a88708504490&amp;scene=21#wechat_redirect\" textvalue=\"\u52a0\u901f\u7ecf\u5178\u7b97\u6cd5\u6548\u7387\uff0c\u7a81\u7834\u73b0\u5b9e\u6280\u672f\u74f6\u9888\uff1a\u56fe\u795e\u7ecf\u7f51\u7edc\u4e0e\u7ec4\u5408\u4f18\u5316\u8bfb\u4e66\u4f1a\u542f\u52a8\" linktype=\"text\" imgurl=\"\" imgdata=\"null\" data-itemshowtype=\"0\" tab=\"innerlink\" data-linktype=\"2\" rel=\"noopener noreferrer\">\u52a0\u901f\u7ecf\u5178\u7b97\u6cd5\u6548\u7387\uff0c\u7a81\u7834\u73b0\u5b9e\u6280\u672f\u74f6\u9888\uff1a\u56fe\u795e\u7ecf\u7f51\u7edc\u4e0e\u7ec4\u5408\u4f18\u5316\u8bfb\u4e66\u4f1a\u542f\u52a8<\/a><\/span><\/section>\n<p style=\"margin-right: 8px;margin-left: 8px;line-height: 2em;text-indent: 0em;margin-bottom: 0px;\"><span style=\"font-size: 15px;text-decoration-style: solid;text-decoration-color: rgb(136, 136, 136);color: rgb(63, 63, 63);font-family: system-ui, -apple-system, &quot;system-ui&quot;, &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);\"><br  \/><\/span><\/p>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;line-height: 2em;text-indent: 0em;\"><span style=\"font-size: 15px;text-decoration-style: solid;text-decoration-color: rgb(136, 136, 136);color: rgb(63, 63, 63);font-family: system-ui, -apple-system, &quot;system-ui&quot;, &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);\"><br  \/><\/span><\/section>\n<section style=\"margin-bottom: 0px;margin-left: 0px;margin-right: 0px;\"><span style=\"color: rgb(255, 255, 255);font-family: PingFangSC-light;font-size: 15px;font-weight: 700;letter-spacing: 0.544px;text-align: left;background-color: rgb(12, 130, 169);\">\u70b9\u51fb\u201c\u9605\u8bfb\u539f\u6587\u201d\uff0c\u62a5\u540d\u76f4\u64ad<\/span><\/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 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