{"id":29785,"date":"2021-11-05T15:43:32","date_gmt":"2021-11-05T07:43:32","guid":{"rendered":"https:\/\/swarma.org\/?p=29785"},"modified":"2021-11-05T15:43:32","modified_gmt":"2021-11-05T07:43:32","slug":"%e9%87%8f%e5%ad%90%e3%80%81%e5%9b%a0%e6%9e%9c%e4%b8%8e%e6%b6%8c%e7%8e%b0-%e9%9b%86%e6%99%ba-%e5%87%af%e9%a3%8e%e7%a0%94%e8%af%bb%e8%90%a5%e5%91%a8%e5%85%ad%e5%91%a8%e6%97%a5%e7%9b%b4%e6%92%ad","status":"publish","type":"post","link":"https:\/\/swarma.org\/?p=29785","title":{"rendered":"\u91cf\u5b50\u3001\u56e0\u679c\u4e0e\u6d8c\u73b0 | \u96c6\u667a-\u51ef\u98ce\u7814\u8bfb\u8425\u5468\u516d\u5468\u65e5\u76f4\u64ad"},"content":{"rendered":"<div class='wxsyncmain'>\n<p style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\" data-mpa-powered-by=\"yiban.io\"><img class=\"rich_pages wxw-img js_insertlocalimg custom_select_img\" data-backh=\"385\" data-backw=\"578\" data-fileid=\"100100681\" data-ratio=\"0.6666666666666666\" data-s=\"300,640\"  data-type=\"jpeg\" data-w=\"612\" 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0.544px;\">\u53c2\u4e0e\u65b9\u5f0f<\/strong><\/strong><\/p>\n<\/section>\n<section style=\"margin-top: -2px;outline: 0px;\">\n<section style=\"outline: 0px;float: left;width: 8px;height: 3px;background-color: rgb(33, 166, 210);line-height: 0;\"><br style=\"outline: 0px;\"  \/><\/section>\n<section style=\"outline: 0px;float: right;width: 8px;height: 3px;background-color: rgb(33, 166, 210);line-height: 0;\"><br style=\"outline: 0px;\"  \/><\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/h3>\n<p style=\"margin-right: 8px;margin-left: 8px;outline: 0px;font-family: -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;white-space: normal;background-color: rgb(255, 255, 255);line-height: 1.75em;\"><br  \/><\/p>\n<ul class=\"list-paddingleft-2\" style=\"margin-left: 8px;margin-right: 8px;\">\n<li 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0px;\"><svg viewbox=\"0 0 1 1\" style=\"vertical-align:top;\"><\/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;\">\n<p style=\"outline: 0px;\"><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;\"><strong style=\"outline: 0px;text-align: left;color: rgb(33, 166, 210);font-family: PingFangSC-light;letter-spacing: 0.544px;\">\u5177\u4f53\u5185\u5bb9<\/strong><\/strong><\/p>\n<\/section>\n<section style=\"margin-top: -2px;outline: 0px;\">\n<section style=\"outline: 0px;float: left;width: 8px;height: 3px;background-color: rgb(33, 166, 210);line-height: 0;\"><br style=\"outline: 0px;\"  \/><\/section>\n<section style=\"outline: 0px;float: right;width: 8px;height: 3px;background-color: rgb(33, 166, 210);line-height: 0;\"><br  \/><\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/h3>\n<h4 style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><br  \/><\/h4>\n<h4 style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"color: rgb(33, 166, 210);\"><strong><span style=\"font-size: 15px;\">\u5218\u91d1\u56fd\uff1a\u56fe\u4e0e\u5f20\u91cf\u7f51\u7edc<\/span><\/strong><\/span><\/h4>\n<p><strong><span style=\"font-size: 15px;color: rgb(63, 63, 63);\"><br  \/><\/span><\/strong><\/p>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u5f20\u91cf\u7f51\u7edc\u662f\u79d1\u5b66\u8ba1\u7b97\uff0c\u5c24\u5176\u662f\u7269\u7406\u4e2d\u5e38\u7528\u7684\u6280\u672f\u3002\u5728\u8fc7\u53bb\u7684\u51e0\u5e74\uff0c\u91cf\u5b50\u8ba1\u7b97\u6a21\u62df\u63a8\u52a8\u4e86\u5927\u89c4\u6a21\u5f20\u91cf\u7f51\u7edc\u6536\u7f29\u6280\u672f\u7684\u53d1\u5c55\u3002\u4e4b\u524d\u5927\u5bb6\u5173\u6ce8\u7684\u5f20\u91cf\u7f51\u7edc\u4e2d\uff0c\u6570\u5b57\u662f\u5e38\u89c1\u7684\u6d6e\u70b9\u6570\u6216\u8005\u6574\u6570\u3002\u5728\u8fd9\u4e2a\u62a5\u544a\u4e2d\uff0c\u6211\u5c06\u4f1a\u7528\u8fd9\u4e9b\u5148\u8fdb\u7684\u5f20\u91cf\u7f51\u7edc\u6280\u672f\u4ece\u56fe\u591a\u9879\u5f0f\u7684\u89d2\u5ea6\u89e3\u51b3\u56fe\u8bba\u4e2d\u7684\u4e00\u4e9b\u91cd\u8981\u95ee\u9898\u3002\u800c\u8fd9\u4e9b\u8fdb\u5c55\u6765\u81ea\u5bf9\u5f20\u91cf\u7f51\u7edc\u5143\u7d20\u7684\u4ee3\u6570\u7684\u7ed3\u6784\u7684\u8bbe\u8ba1\uff0c\u6211\u5c06\u4f1a\u5e26\u5927\u5bb6\u4ece\u62bd\u8c61\u4ee3\u6570\u7684\u89d2\u5ea6\u53bb\u7406\u89e3\u4ec0\u4e48\u6837\u7684\u4ee3\u6570\u53ef\u4ee5\u4f5c\u4e3a\u88ab\u64cd\u4f5c\u7684\u5bf9\u8c61\u3002<\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;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;line-height: 1.75em;\"><strong><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u8bb2\u8005\u4ecb\u7ecd\uff1a<\/span><\/strong><span style=\"font-size: 15px;color: rgb(63, 63, 63);\"><\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><strong><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u5218\u91d1\u56fd<\/span><\/strong><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\uff0c\u54c8\u4f5b\u5927\u5b66\u535a\u58eb\u540e\uff0c\u4e2d\u56fd\u79d1\u5b66\u9662\u7269\u7406\u7814\u7a76\u6240\u535a\u58eb\u540e\uff0c\u5357\u4eac\u5927\u5b66\u7269\u7406\u5b66\u535a\u58eb\uff0c\u7814\u7a76\u5174\u8da3\u4e3a\u91cf\u5b50\u8ba1\u7b97\u3001\u5f20\u91cf\u7f51\u7edc\u3001\u673a\u5668\u5b66\u4e60\u3002<\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;text-align: left;line-height: normal;margin-bottom: 10px;\"><span style=\"color: rgb(63, 63, 63);font-size: 13px;\">Tropical Tensor Network for Ground States of Spin Glasses.Jin-Guo Liu, Lei Wang, and Pan Zhang<\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;text-align: left;line-height: normal;margin-bottom: 10px;\"><span style=\"color: rgb(63, 63, 63);font-size: 13px;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;\">Phys. Rev. Lett. 126, 090506 \u2013 Published 5 March 2021<\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;text-align: left;line-height: normal;margin-bottom: 10px;\"><span style=\"color: rgb(63, 63, 63);font-size: 13px;\">Computing Properties of Independent Sets by Generic Programming Tensor Networks.Jin-Guo Liu, Shengtao Wang, et al. and Xun Gao*unpublished<\/span><\/section>\n<h4 style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><br  \/><\/h4>\n<h4 style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"color: rgb(33, 166, 210);\"><strong><span style=\"font-size: 15px;\">\u738b\u78ca\uff1a\u79d1\u5b66\u8ba1\u7b97\u4e2d\u7684\u5fae\u5206\u7f16\u7a0b<\/span><\/strong><\/span><\/h4>\n<p><span style=\"color: rgb(33, 166, 210);\"><strong><span style=\"font-size: 15px;\"><br  \/><\/span><\/strong><\/span><\/p>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u5fae\u5206\u7f16\u7a0b\u662f\u4e00\u79cd\u65b0\u7684\u7f16\u7a0b\u8303\u5f0f\uff0c\u6765\u6e90\u4e8e\u6df1\u5ea6\u5b66\u4e60\u4f46\u662f\u5374\u4e0d\u4ec5\u4ec5\u53ea\u662f\u8bad\u7ec3\u795e\u7ecf\u7f51\u7edc\u3002\u5728\u5fae\u5206\u7f16\u7a0b\u4e2d\uff0c\u901a\u8fc7\u5c06\u4e00\u4e9b\u53ef\u5fae\u5206\u7684\u8ba1\u7b97\u5355\u5143\u7ec4\u5408\u81ea\u9002\u5e94\u7a0b\u5e8f\uff0c\u518d\u901a\u8fc7\u68af\u5ea6\u4f18\u5316\u7684\u65b9\u6cd5\u5b66\u4e60\u7a0b\u5e8f\uff0c\u4f7f\u5176\u8fbe\u5230\u671f\u671b\u7684\u76ee\u6807\u3002\u4e00\u4e9b\u673a\u5668\u5b66\u4e60\u4e13\u5bb6\u8ba4\u4e3a\u5fae\u5206\u7f16\u7a0b\u662f\u6df1\u5ea6\u5b66\u4e60\u7684\u672a\u6765\uff0c\u8ba4\u4e3a\u5b83\u662f\u8054\u7cfb\u6df1\u5ea6\u5b66\u4e60\u4e0e\u79d1\u5b66\u8ba1\u7b97\u7684\u4e00\u6761\u7ebd\u5e26\uff0c\u5fae\u5206\u7f16\u7a0b\u53ef\u4ee5\u76f4\u63a5\u57fa\u4e8e\u6df1\u5ea6\u5b66\u4e60\u5f15\u64ce\u5e94\u7528\u4e8e\u79d1\u5b66\u548c\u5de5\u7a0b\u9886\u57df\u7684\u5efa\u6a21\u3001\u4f18\u5316\u3001\u63a7\u5236\u548c\u9006\u95ee\u9898\u3002\u672c\u6b21\u6211\u5c06\u91cd\u70b9\u4ecb\u7ecd\u4e00\u4e9b\u5728\u91cf\u5b50\u7269\u7406\u7814\u7a76\u4e2d\u7684\u4f8b\u5b50\uff0c\u5e76\u8ba8\u8bba\u53ef\u5fae\u79d1\u5b66\u8ba1\u7b97\u7684\u672a\u6765\u524d\u666f\u3002<\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><br  \/><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><strong><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u8bb2\u8005\u4ecb\u7ecd\uff1a<\/span><\/strong><span style=\"font-size: 15px;color: rgb(63, 63, 63);\"><\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><strong><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u738b\u78ca<\/span><\/strong><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\uff0c\u4e2d\u56fd\u79d1\u5b66\u9662\u7269\u7406\u7814\u7a76\u6240\u7814\u7a76\u5458\uff0c\u4e3b\u8981\u7814\u7a76\u5174\u8da3\u662f\u6df1\u5ea6\u5b66\u4e60\u548c\u91cf\u5b50\u591a\u4f53\u8ba1\u7b97\u3002<\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><br  \/><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\"><strong>\u53c2\u8003\u6587\u732e\uff1a<\/strong><\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;text-align: left;line-height: normal;margin-bottom: 10px;\"><span style=\"color: rgb(63, 63, 63);font-size: 13px;\">1. Nolan J F. Analytical differentiation on a digital computer. Massachusetts Institute of Technology\uff0c1953<\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;text-align: left;line-height: normal;margin-bottom: 10px;\"><span style=\"color: rgb(63, 63, 63);font-size: 13px;\">2. Wengert R E. Communications of the ACM\uff0c1964\uff0c7\uff1a463<\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;text-align: left;line-height: normal;margin-bottom: 10px;\"><span style=\"color: rgb(63, 63, 63);font-size: 13px;\">3. Jensen D S\uff0cWasserman A. International Journal of Quantum Chemistry\uff0c2018\uff0c118(1)\uff1ae25425<\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;text-align: left;line-height: normal;margin-bottom: 10px;\"><span style=\"color: rgb(63, 63, 63);font-size: 13px;\">4. https:\/\/github.com\/QuantumBFS\/SSSS\/blob\/master\/1_deep_learning\/schrodinger.py<\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;text-align: left;line-height: normal;margin-bottom: 10px;\"><span style=\"color: rgb(63, 63, 63);font-size: 13px;\">5. Chen R T Q\uff0cRubanova Y\uff0cBettencourt J et al. 2018\uff0carXiv:1806.07366<\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;text-align: left;line-height: normal;margin-bottom: 10px;\"><span style=\"color: rgb(63, 63, 63);font-size: 13px;\">6. Rackauckas C et al. 2020\uff0carXiv:2001.04385<\/span><\/section>\n<h4 style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><br  \/><\/h4>\n<h4 style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"color: rgb(33, 166, 210);\"><strong><span style=\"font-size: 15px;\">\u5f20\u6f58\uff1a\u91cf\u5b50\u8ba1\u7b97\u673a\u7684\u7ecf\u5178\u6a21\u62df<\/span><\/strong><\/span><\/h4>\n<p><span style=\"font-size: 15px;color: rgb(63, 63, 63);\"><br  \/><\/span><\/p>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u5f20\u6f58\u8001\u5e08\u4f1a\u4ecb\u7ecd\u4ed6\u4eec\u56e2\u961f\u7684\u4e00\u4e9b\u6700\u65b0\u5de5\u4f5c\u548c\u5373\u5c06\u5f00\u5c55\u7684\u4e00\u4e9b\u7814\u7a76\uff0c\u5728\u4ed6\u4eec\u6700\u53d1\u8868\u7684\u6587\u7ae0\u4e2d\u63d0\u51fa\u4e86\u4e00\u4e2a\u901a\u7528\u7684\u7528\u5f20\u91cf\u7f51\u7edc\u6a21\u62df\u91cf\u5b50\u7ebf\u8def\u7684\u65b9\u6848\uff0c\u8fd9\u79cd\u65b9\u6848\u53ef\u4ee5\u6bd4\u73b0\u6709\u65b9\u6848\u66f4\u52a0\u9ad8\u6548\u7684\u8ba1\u7b97\u5927\u91cf\u7684\u76f8\u5173\u8054\u7684\u6bd4\u7279\u4e32\u7684\u6982\u7387\u5e45\u3002\u4f5c\u4e3a\u5e94\u7528\uff0c\u4ed6\u4eec\u7814\u7a76\u4e86\u8c37\u6b4c\u7528\u4e8e\u5c55\u793a\u91cf\u5b50\u4f18\u8d8a\u6027\uff08\u4eba\u4eec\u76f8\u4fe1\u65e0\u6cd5\u7528\u4efb\u4f55\u7ecf\u5178\u6280\u672f\u6a21\u62df\uff09\u7684Sycamore\u7ebf\u8def\u3002\u7528\u4ed6\u4eec\u7684\u65b9\u6cd5\u53ef\u4ee5\u9488\u5bf953\u91cf\u5b50\u6bd4\u7279\u7684Sycamore\u7ebf\u8def\u8fdb\u884c20\u4e2a\u5468\u671f\u7684\u6a21\u62df\u3002\u4ec5\u752860\u4e2aGPU\u7684\u5c0f\u578b\u96c6\u7fa4\u5c31\u53ef\u4ee5\u751f\u6210100\u4e07\u4e2a\u76f8\u5173\u8054\u7684\u7684\u6bd4\u7279\u4e32\u5e76\u5f97\u5230\u8fdc\u9ad8\u4e8e\u5b9e\u9a8c\u4e2d\u76840.739\u7684XEB\u4fdd\u8bc1\u5ea6\u3002\u76f8\u5173\u7684\u62a5\u9053\u53ef\u4ee5\u89c1\uff1a<a target=\"_blank\" href=\"http:\/\/mp.weixin.qq.com\/s?__biz=MzIzMjQyNzQ5MA==&amp;mid=2247543145&amp;idx=2&amp;sn=f0c6343ceda8dfb6f20bbd601576c18b&amp;chksm=e89773e4dfe0faf2967fb7b1203982f0f91a026c635942a59b8759b67d5be27bf14699679567&amp;scene=21#wechat_redirect\" textvalue=\"\u6253\u7834\u8c37\u6b4c\u91cf\u5b50\u9738\u6743\uff01\u7ecf\u5178\u8ba1\u7b97\u673a\u6273\u56de\u4e00\u57ce\" linktype=\"text\" imgurl=\"\" imgdata=\"null\" data-itemshowtype=\"11\" tab=\"innerlink\" data-linktype=\"2\" rel=\"noopener noreferrer\">\u6253\u7834\u8c37\u6b4c\u91cf\u5b50\u9738\u6743\uff01\u7ecf\u5178\u8ba1\u7b97\u673a\u6273\u56de\u4e00\u57ce<\/a><\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;text-align: left;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">Simulating the Sycamore quantum supremacy circuits.Feng Pan, Pan Zhang.arXiv: 2103.03074<\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><br  \/><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><strong><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u8bb2\u8005\u4ecb\u7ecd\uff1a<\/span><\/strong><span style=\"font-size: 15px;color: rgb(63, 63, 63);\"><\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><strong><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u5f20\u6f58<\/span><\/strong><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\uff0c\u4e2d\u56fd\u79d1\u5b66\u9662\u7406\u8bba\u7269\u7406\u7814\u7a76\u6240\u7814\u7a76\u5458\uff0c\u5165\u9009\u4e2d\u56fd\u79d1\u5b66\u9662\u201c\u767e\u4eba\u8ba1\u5212\u201d\u3002\u7814\u7a76\u65b9\u5411\uff1a\u7edf\u8ba1\u7269\u7406\u4e0e\u673a\u5668\u5b66\u4e60\u7684\u4ea4\u53c9\u9886\u57df\u3002\u8fd1\u5e74\u7684\u7814\u7a76\u5174\u8da3\uff1a\u96c6\u4e2d\u5728\u7edf\u8ba1\u63a8\u65ad\u95ee\u9898\u4e2d\u7684\u7edf\u8ba1\u7269\u7406\u7406\u8bba\uff0c\u4ee5\u53ca\u57fa\u4e8e\u91cf\u5b50\u548c\u7edf\u8ba1\u7269\u7406\u7684\u975e\u76d1\u7763\u673a\u5668\u5b66\u4e60\u65b0\u65b9\u6cd5\u3002<\/span><\/section>\n<h4 style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><br  \/><\/h4>\n<h4 style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"color: rgb(33, 166, 210);\"><strong><span style=\"font-size: 15px;\">\u9646\u8d85\u8d85\uff1a\u673a\u5668\u5b66\u4e60\u4e2d\u7684\u8ffd\u56e0\u95ee\u9898<\/span><\/strong><\/span><\/h4>\n<p><span style=\"font-size: 15px;color: rgb(63, 63, 63);\"><br  \/><\/span><\/p>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u673a\u5668\u5b66\u4e60\u7684\u6838\u5fc3\u4efb\u52a1\u662f\u4ece\u6570\u636e\u4e2d\u81ea\u52a8\u5730\u53d1\u73b0\u76f8\u5173\u6027\u4fe1\u606f\u4ee5\u4fbf\u9884\u6d4b\u672a\u6765\u3002\u4f46\u6570\u636e\u7684\u771f\u76f8\u5e76\u975e\u6765\u81ea\u76f8\u5173\u6027\uff0c\u800c\u662f\u6765\u81ea\u56e0\u679c\u6027\u3002\u56e0\u6b64\uff0c\u6211\u4eec\u9700\u8981\u8fdb\u4e00\u6b65\u5bf9\u6570\u636e\u8ffd\u56e0\u6eaf\u6e90\uff0c\u8003\u8651\u6570\u636e\u80cc\u540e\u66f4\u672c\u8d28\u7684\u56e0\u679c\u7ed3\u6784\u3002\u56e0\u4e3a\u56e0\u679c\u6a21\u578b\u5bf9\u73b0\u5b9e\u4e16\u754c\u4e2d\u6570\u636e\u7684\u53d8\u5316\u66f4\u52a0\u9c81\u68d2\uff0c\u6240\u4ee5\u62e5\u6709\u4e86\u56e0\u679c\u63a8\u65ad\u80fd\u529b\u7684\u673a\u5668\u5b66\u4e60\u7b97\u6cd5\u53ef\u4ee5\u66f4\u597d\u5730\u9884\u6d4b\u672a\u6765\u3002<span style=\"color: rgb(63, 63, 63);font-size: 15px;\">\u6211\u4eec\u5c06\u8ba8\u8bba\u56e0\u679c\u63a8\u65ad\u5728\u673a\u5668\u5b66\u4e60\u5404\u4e2a\u65b9\u9762\u7684\u524d\u6cbf\u8fdb\u5c55\u4ee5\u53ca\u5b83\u4eec\u5728\u5404\u4e2a\u5b9e\u9645\u573a\u666f\u4e2d\u7684\u5177\u4f53\u5e94\u7528\u3002<\/span><\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"color:#3f3f3f;\"><span style=\"font-size: 15px;\"><br  \/><\/span><\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><strong><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u8bb2\u8005\u4ecb\u7ecd\uff1a<\/span><\/strong><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><strong><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u9646\u8d85\u8d85<\/span><\/strong><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\uff0c\u5251\u6865\u5927\u5b66\u673a\u5668\u5b66\u4e60\u7ec4\u535a\u58eb\u751f\uff0c \u7531Zoubin Ghahramani\u6559\u6388\u548cJos\u00e9 Miguel Hern\u00e1ndez-Lobato\u6559\u6388\u8054\u5408\u57f9\u517b\uff0cCarl Edward Rasmussen\u6559\u6388\u6307\u5bfc\uff1b\u540c\u65f6\u4ed6\u4e5f\u662fCambridge-T\u00fcbingen \u535a\u58eb\u5956\u5b66\u91d1\u7684\u83b7\u5f97\u8005\uff0c\u7531\u9a6c\u514b\u65af\u00b7\u666e\u6717\u514b\u667a\u80fd\u7cfb\u7edf\u7814\u7a76\u6240\u7684Bernhard Sch\u00f6lkopf \u6559\u6388\u8054\u5408\u57f9\u517b\u3002\u4ed6\u7684\u4e3b\u8981\u7814\u7a76\u5174\u8da3\u662f\u673a\u5668\u5b66\u4e60\uff0c\u7279\u522b\u662f\u6d89\u53ca\u5230\u5982\u4f55\u7ed3\u5408\u56e0\u679c\u63a8\u7406\u3001\u8d1d\u53f6\u65af\u63a8\u7406\u3001\u5f3a\u5316\u5b66\u4e60\u548c\u6df1\u5ea6\u5b66\u4e60\u5404\u81ea\u7684\u4f18\u52bf\uff0c\u5e76\u5c06\u5b83\u4eec\u5e94\u7528\u5728\u73b0\u5b9e\u9886\u57df\u4e2d\u89e3\u51b3\u5b9e\u9645\u95ee\u9898\uff0c\u5982\u8ba1\u7b97\u673a\u89c6\u89c9\u548c\u533b\u7597\u7b49\u9886\u57df\u3002<\/span><\/section>\n<h4 style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><br  \/><\/h4>\n<h4 style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"color: rgb(33, 166, 210);\"><strong><span style=\"font-size: 15px;\">\u59da\u8fea\uff1a\u65f6\u5e8f\u6570\u636e\u5f52\u56e0\u4e0e\u56e0\u679c\u53d1\u73b0<\/span><\/strong><\/span><\/h4>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><br  \/><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u65f6\u95f4\u5e8f\u5217\u6570\u636e\u5728\u5b9e\u9645\u5e94\u7528\u4e2d\u666e\u904d\u5b58\u5728\uff0c\u5176\u4e2d\u65f6\u5e8f\u6570\u636e\u7684\u56e0\u679c\u63a8\u7406\u548c\u56e0\u679c\u53d1\u73b0\uff0c\u5bf9\u8bb8\u591a\u65f6\u5e8f\u5206\u6790\u4efb\u52a1\u90fd\u5177\u6709\u975e\u5e38\u91cd\u8981\u610f\u4e49\u3002\u5176\u7ed3\u679c\u4e0d\u4ec5\u53ef\u4ee5\u63d0\u5347\u6a21\u578b\u89e3\u91ca\u6027\uff0c\u4e14\u53ef\u4ee5\u652f\u6491\u66f4\u591a\u4e0b\u6e38\u4efb\u52a1\u3002\u672c\u62a5\u544a\u4ee5\u5e7f\u544a-\u8f6c\u5316\u5e8f\u5217\u4e3a\u4f8b\uff0c\u7814\u7a76\u5176\u4e2d\u5e7f\u544a\u591a\u89e6\u70b9\u5f52\u56e0\u4efb\u52a1\uff0c\u4ecb\u7ecd\u5982\u4f55\u901a\u8fc7\u56e0\u679c\u8868\u793a\u5b66\u4e60\u7f13\u89e3\u7528\u6237\u504f\u597d\u9020\u6210\u89c2\u6d4b\u5e7f\u544a\u5e8f\u5217\u4e2d\u5b58\u5728\u7684\u6df7\u6dc6\u504f\u5dee\uff0c\u671f\u671b\u5b9e\u73b0\u65e0\u504f\u53cd\u4e8b\u5b9e\u9884\u6d4b\uff0c\u5e76\u5229\u7528\u53cd\u4e8b\u5b9e\u9884\u6d4b\u7ed3\u679c\u4e3a\u5e7f\u544a\u5e8f\u5217\u4e2d\u6bcf\u4e2a\u5e7f\u544a\u89e6\u70b9\u5f52\u56e0\u3002<\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><br  \/><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><strong><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u8bb2\u8005\u4ecb\u7ecd\uff1a<\/span><\/strong><span style=\"font-size: 15px;color: rgb(63, 63, 63);\"><\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><strong><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u59da\u8fea<\/span><\/strong><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\uff0c\u4e2d\u79d1\u9662\u8ba1\u7b97\u6240\u52a9\u7406\u7814\u7a76\u5458\uff0c\u535a\u58eb\u6bd5\u4e1a\u4e8e\u4e2d\u79d1\u9662\u8ba1\u7b97\u6240\uff0c\u671f\u95f4\u66fe\u5728\u65b0\u52a0\u5761\u5357\u6d0b\u7406\u5de5\u5927\u5b66\u8bbf\u95ee\uff0c\u7814\u7a76\u65b9\u5411\u662f\u65f6\u7a7a\u6570\u636e\u6316\u6398\u3001\u65f6\u5e8f\u6570\u636e\u56e0\u679c\u5206\u6790<\/span><\/section>\n<h4 style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><br  \/><\/h4>\n<h4 style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"color: rgb(33, 166, 210);\"><strong><span style=\"font-size: 15px;\">\u674e\u5ae3\u7136\uff1a\u5e38\u8bc6\u56e0\u679c\u5728 AI \u8ba4\u77e5\u7684\u8fdb\u5c55<\/span><\/strong><\/span><\/h4>\n<section style=\"margin-left: 8px;margin-right: 8px;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;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u81ea\u7136\u8bed\u8a00\u4f5c\u4e3a\u4eba\u7c7b\u6587\u660e\u7684\u8f7d\u4f53\u4e4b\u4e00\uff0c\u5176\u4e2d\u8574\u542b\u4e86\u5927\u91cf\u7ecf\u8fc7\u793e\u4f1a\u534f\u4f5c\u53ca\u6f14\u53d8\u540e\u9ad8\u5ea6\u62bd\u8c61\u51fa\u6765\u7684\u5e38\u8bc6\u56e0\u679c\u77e5\u8bc6\u53ca\u8ba4\u77e5\u884c\u4e3a\u77e5\u8bc6\u3002\u8fd1\u5e74\u6765\uff0c\u7814\u7a76\u8005\u4eec\u6784\u9020\u4e86\u4f7f\u7528\u6587\u672c\u63cf\u8ff0\u7684\u3001\u5305\u542b\u7ed3\u6784\u5316\u5e38\u8bc6\u56e0\u679c\u77e5\u8bc6\u7684\u6570\u636e\u96c6\uff0c\u5e76\u5f00\u59cb\u63a2\u7d22\u5982\u4f55\u66f4\u597d\u5730\u4f7f\u7528\u8fd9\u7c7b\u7ed3\u6784\u5316\u77e5\u8bc6\u8f85\u52a9\u6a21\u578b\u9884\u6d4b\u3001\u63a8\u7406\u53ca\u751f\u6210\u3002\u6211\u4eec\u5c06\u4ecb\u7ecd\u5e76\u8ba8\u8bba\uff1a\uff081\uff09\u6709\u54ea\u4e9b\u5e38\u8bc6\u56e0\u679c\u77e5\u8bc6\u5e93\u53ca\u5176\u4e2d\u5b9a\u4e49\u7684\u56e0\u679c\u63a8\u7406\u7ef4\u5ea6\uff1b\uff082\uff09\u5982\u4f55\u4ece\u8d85\u5927\u89c4\u6a21\u9884\u8bad\u7ec3\u6a21\u578b\u4e2d\u63d0\u53d6\u5e38\u8bc6\u56e0\u679c\u77e5\u8bc6\uff1b\uff083\uff09\u5982\u4f55\u7ed3\u5408\u7b26\u53f7\u8868\u793a\u7684\u903b\u8f91\u77e5\u8bc6\u548c\u795e\u7ecf\u7f51\u7edc\u8868\u793a\u7684\u56e0\u679c\u77e5\u8bc6\uff1b\uff084\uff09\u6709\u54ea\u4e9b\u5e38\u8bc6\u56e0\u679c\u77e5\u8bc6\u5728 AI \u8ba4\u77e5\u65b9\u9762\u7684\u5e94\u7528\u8fdb\u5c55\u3002<\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><br  \/><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><strong><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u8bb2\u8005\u4ecb\u7ecd\uff1a<\/span><\/strong><span style=\"font-size: 15px;color: rgb(63, 63, 63);\"><\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><strong><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u674e\u5ae3\u7136<\/span><\/strong><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\uff0c\u5c0f\u7c73\u4eba\u5de5\u667a\u80fd\u5b9e\u9a8c\u5ba4\u7684\u9ad8\u7ea7\u7b97\u6cd5\u5de5\u7a0b\u5e08\uff0c\u5728\u5317\u4eac\u5927\u5b66\u83b7\u5f97\u667a\u80fd\u79d1\u5b66\u672c\u79d1\u5b66\u4f4d\u540e\uff0c\u524d\u5f80\u9999\u6e2f\u7406\u5de5\u5927\u5b66\u653b\u8bfb\u535a\u58eb\u5b66\u4f4d\u3002\u5979\u7684\u7814\u7a76\u5174\u8da3\u4e3b\u8981\u5305\u62ec\u81ea\u7136\u8bed\u8a00\u5904\u7406\u3001\u4eba\u673a\u5bf9\u8bdd\u7cfb\u7edf\u3001\u5e38\u8bc6\u63a8\u7406\u3001\u6587\u672c\u751f\u6210\u3001\u60c5\u611f\u8ba1\u7b97\u7b49\u3002<\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"color: rgb(33, 166, 210);\"><strong><span style=\"font-size: 15px;\"><br  \/><\/span><\/strong><\/span><\/section>\n<h4 style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"color: rgb(33, 166, 210);\"><strong><span style=\"font-size: 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style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><br  \/><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><strong><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u8bb2\u8005\u4ecb\u7ecd\uff1a<\/span><\/strong><span style=\"font-size: 15px;color: rgb(63, 63, 63);\"><\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><strong><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u90ed\u82e5\u57ce<\/span><\/strong><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\uff0c\u4e9a\u5229\u6851\u90a3\u5dde\u7acb\u5927\u5b66\u535a\u58eb\uff0c\u9999\u6e2f\u57ce\u5e02\u5927\u5b66\uff08the City University of Hong Kong\uff09\u6570\u636e\u79d1\u5b66\u5b66\u9662\u4efb\u52a9\u7406\u6559\u6388\u3002\u7814\u7a76\u65b9\u5411\u4e3a\u56e0\u679c\u63a8\u7406\u3001\u673a\u5668\u5b66\u4e60\u3001\u6570\u636e\u6316\u6398\u3002<\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><br  \/><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><strong><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u53c2\u8003\u6587\u732e<\/span><\/strong><strong><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\uff1a<\/span><\/strong><span style=\"font-size: 15px;color: rgb(63, 63, 63);\"><\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;text-align: left;line-height: normal;margin-bottom: 10px;\"><span style=\"color: rgb(63, 63, 63);font-size: 13px;\">[1] Vig, Jesse, et al. &#8220;Investigating Gender Bias in Language Models Using Causal Mediation Analysis.&#8221; NeurIPS. 2020.<\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;text-align: left;line-height: normal;margin-bottom: 10px;\"><span style=\"color: rgb(63, 63, 63);font-size: 13px;\">[2] Kusner, Matt, et al. &#8220;Counterfactual fairness.&#8221; Proceedings of the 31st International Conference on Neural Information Processing Systems. 2017.https:\/\/arxiv.org\/abs\/1703.06856<\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;text-align: left;line-height: normal;margin-bottom: 10px;\"><span style=\"color: rgb(63, 63, 63);font-size: 13px;\">[3] Kilbertus, Niki, et al. &#8220;The sensitivity of counterfactual fairness to unmeasured confounding.&#8221; Uncertainty in Artificial Intelligence. PMLR, 2020.http:\/\/proceedings.mlr.press\/v115\/kilbertus20a.html<\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;text-align: left;line-height: normal;margin-bottom: 10px;\"><span style=\"color: rgb(63, 63, 63);font-size: 13px;\">[4] Chiappa, Silvia. &#8220;Path-specific counterfactual fairness.&#8221; Proceedings of the AAAI Conference on Artificial Intelligence. Vol. 33. No. 01. 2019.https:\/\/ojs.aaai.org\/\/index.php\/AAAI\/article\/view\/4777<\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;text-align: left;line-height: normal;margin-bottom: 10px;\"><span style=\"color: rgb(63, 63, 63);font-size: 13px;\">[5] Feder, Amir, et al. &#8220;Causalm: Causal model explanation through counterfactual language models.&#8221; Computational Linguistics 47.2 (2021): 333-386.https:\/\/arxiv.org\/abs\/2005.13407<\/span><\/section>\n<h4 style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><br  \/><\/h4>\n<h4 style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"color: rgb(33, 166, 210);\"><strong><span style=\"font-size: 15px;\">\u82d1\u660e\u7406\uff1a\u4ece\u8bcd\u5411\u91cf\u5230\u7b97\u672f\u8868\u8fbe\u5f0f\u7684\u51e0\u4f55<\/span><\/strong><\/span><\/h4>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><br  \/><\/section>\n<section style=\"margin-left: 8px;margin-right: 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15px;color: rgb(63, 63, 63);\"><br  \/><\/span><\/p>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u4ee5\u968f\u673a\u68af\u5ea6\u4e0b\u964d\u4e3a\u4ee3\u8868\u7684\u968f\u673a\u4f18\u5316\u65b9\u6cd5\u662f\u8bad\u7ec3\u6df1\u5ea6\u795e\u7ecf\u7f51\u7edc\u7684\u4e3b\u6d41\u65b9\u6cd5\uff0c\u4e5f\u662f\u6df1\u5ea6\u5b66\u4e60\u53d6\u5f97\u6210\u529f\u7684\u91cd\u8981\u539f\u56e0\u3002\u4f46\u662f\uff0c\u4e3a\u4ec0\u4e48\u968f\u673a\u4f18\u5316\u5bf9\u4e8e\u6df1\u5ea6\u5b66\u4e60\u5982\u6b64\u91cd\u8981\uff1f\u5176\u80cc\u540e\u7684\u7406\u8bba\u673a\u5236\u8fd8\u6709\u5f85\u66f4\u591a\u63a2\u7d22\u3002\u9996\u5148\uff0c\u6211\u4eec\u63d0\u51fa\u4e86\u4e00\u79cd\u6269\u6563\u7406\u8bba\u6846\u67b6\u7528\u4e8e\u5206\u6790\u6df1\u5ea6\u5b66\u4e60\u52a8\u529b\u5b66\u7684\u7406\u8bba\u4f18\u52bf\u3002\u5728\u8fd9\u4e2a\u6269\u6563\u7406\u8bba\u7684\u542f\u53d1\u4e0b\uff0c\u6211\u4eec\u8bbe\u8ba1\u65b0\u7684\u4f18\u5316\u65b9\u6cd5\u8fd8\u8fdb\u4e00\u6b65\u63d0\u5347\u4e86\u6df1\u5ea6\u5b66\u4e60\u7684\u8bad\u7ec3\u6548\u679c\u3002\u5176\u6b21\uff0c\u6211\u4eec\u4ecb\u7ecd\u4e86\u4e00\u4e2a\u795e\u7ecf\u79d1\u5b66\u542f\u53d1\u7684\u795e\u7ecf\u7f51\u7edc\u8bad\u7ec3\u7b97\u6cd5NVRM\u3002\u5e76\u4e14\u6211\u4eec\u4ece\u6269\u6563\u7406\u8bba\u3001\u4fe1\u606f\u8bba\u89d2\u5ea6\u8bc1\u660e\u4e86NVRM\u6709\u52a9\u4e8e\u63d0\u9ad8\u6df1\u5ea6\u795e\u7ecf\u7f51\u7edc\u7684\u6cdb\u5316\u6027\u80fd\u3001\u5bf9\u6297\u6570\u636e\u566a\u97f3\u3001\u548c\u5bf9\u6297\u707e\u96be\u6027\u9057\u5fd8\u3002<\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><br  \/><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><strong><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u8bb2\u8005\u4ecb\u7ecd\uff1a<\/span><\/strong><span style=\"font-size: 15px;color: rgb(63, 63, 63);\"><\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><strong><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u8c22\u6cfd\u67ef<\/span><\/strong><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\uff0c\u5728\u4e1c\u4eac\u5927\u5b66\u83b7\u5f97\u673a\u5668\u5b66\u4e60\u535a\u58eb\u5b66\u4f4d\u7531Masashi Sugiyama\u6559\u6388\u548cIssei Sato\u6559\u6388\u7684\u6307\u5bfc\u3002\u7855\u58eb\u6bd5\u4e1a\u4e8e\u4e1c\u4eac\u5927\u5b66\uff0c\u672c\u79d1\u6bd5\u4e1a\u4e8e\u4e2d\u56fd\u79d1\u5b66\u6280\u672f\u5927\u5b66\u3002\u7814\u7a76\u5174\u8da3\u4e3b\u8981\u5305\u62ec\u6df1\u5ea6\u5b66\u4e60\u7406\u8bba\u548cAI+\u79d1\u5b66\uff0c\u5728\u6df1\u5ea6\u5b66\u4e60\u7406\u8bba\u7814\u7a76\u4e0a\u5bf9\u4f18\u5316\u3001\u6cdb\u5316\u3001\u9c81\u68d2\u6027\u548c\u4e0d\u786e\u5b9a\u6027\u611f\u5174\u8da3\uff0c\u5728AI+\u79d1\u5b66\u7684\u7814\u7a76\u4e0a\u5bf9\u5982\u4f55\u5c06AI\u8fde\u63a5\u5230\u7269\u7406\u5b66\u3001\u795e\u7ecf\u79d1\u5b66\u548c\u751f\u7269\u5b66\u611f\u5174\u8da3\u3002<\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><br  \/><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><strong><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u53c2\u8003\u6587\u732e:<\/span><\/strong><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;text-align: left;line-height: normal;margin-bottom: 10px;\"><span style=\"color: rgb(63, 63, 63);font-size: 13px;\">[1] Zeke Xie, Issei Sato, and Masashi Sugiyama. (2021). A Diffusion Theory For Deep Learning Dynamics: Stochastic Gradient Descent Exponentially Favors Flat Minima. &nbsp;In International Conference on Learning Representations. (ICLR 2021)<\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;text-align: left;line-height: normal;margin-bottom: 10px;\"><span style=\"color: rgb(63, 63, 63);font-size: 13px;\">[2] Zeke Xie, Xinrui Wang, Huishuai Zhang, Issei Sato, and Masashi Sugiyama (2020). Adai: Separating the Effects of Adaptive Learning Rate and Momentum Inertia. arXiv preprint arXiv:2006.15815. (under review)<\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;text-align: left;line-height: normal;margin-bottom: 10px;\"><span style=\"color: rgb(63, 63, 63);font-size: 13px;\">[3] Zeke Xie, Fengxiang He, Shaopeng Fu, Issei Sato, Dacheng Tao, and Masashi Sugiyama. (2021). Artificial Neural Variability for Deep Learning: On Overfitting, Noise Memorization, and Catastrophic Forgetting. Neural Computation.<\/span><\/section>\n<h4 style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><br  \/><\/h4>\n<h4 style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"color: rgb(33, 166, 210);\"><strong><span style=\"font-size: 15px;\">\u675c\u4f1f\u97ec\uff1a\u6df1\u5ea6\u5b66\u4e60\u4f5c\u4e3a\u4e00\u79cd\u6709\u6548\u7406\u8bba<\/span><\/strong><\/span><\/h4>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><br  \/><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u6458<strong>\u8981\uff1a<\/strong>\u672c\u6b21\u5206\u4eab\u6211\u5c06\u4ece\u6211\u4eec\u6700\u8fd1\u7684\u4e00\u7bc7\u5229\u7528score-model\u505a\u5206\u5b50\u751f\u6210\u7684\u6587\u7ae0\u8bb2\u8d77\uff0c\u7531\u6b64\u5f15\u51fa\u4e00\u79cd\u5c06\u6df1\u5ea6\u5b66\u4e60\u770b\u6210\u5b66\u4e60\u5982\u4f55\u53bb\u566a\u7684\u65b0\u7684\u5b66\u4e60\u8303\u5f0f\u3002\u5c06\u771f\u5b9e\u6570\u636e\u5206\u5e03\u8f6c\u5316\u4e3a\u566a\u97f3\u7684\u8fc7\u7a0b\u53ef\u4ee5\u770b\u505a\u4e00\u79cd\u4e0d\u65ad\u5c06\u7ec6\u7c92\u5ea6\u4fe1\u606f\u505a\u91cd\u6574\u5316\u7684\u8fc7\u7a0b\uff0c\u5728\u6570\u5b66\u4e0a\u53ef\u4ee5\u5199\u4f5c\u4e00\u4e2astochastic diffusion equation\u3002\u800c\u6df1\u5ea6\u5b66\u4e60\u5219\u8bd5\u56fe\u5c06\u4ed6\u7684reverse process\u53bb\u62df\u5408\u51fa\u6765\u3002\u6211\u4eec\u53ef\u4ee5\u663e\u793a\u5730\u5229\u7528\u795e\u7ecf\u7f51\u7edc\u53bb\u5efa\u6a21reverse process\uff0c\u4e5f\u5c31\u662f\u62df\u5408reverse process\u7684\u68af\u5ea6\u573a\uff0c\u6216\u8005\u6df1\u5ea6\u7f51\u7edc\u7684\u5c42\u6b21\u7ed3\u6784\u672c\u8eab\u53ef\u770b\u505a\u662fimplicit\u5728\u505a\u91cd\u6574\u5316\u3002\u6211\u4eec\u5c06\u63a2\u8ba8\u76f8\u5173\u7684\u4e00\u4e9b\u672a\u6210\u719f\u7684\u7406\u8bba\u4ee5\u53ca\u4ed6\u4eec\u4e4b\u95f4\u53ef\u80fd\u7684\u8054\u7cfb\u3002<\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><br  \/><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><strong><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u53c2\u8003\u6587\u732e\uff1a<\/span><\/strong><span style=\"font-size: 15px;color: rgb(63, 63, 63);\"><\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;text-align: left;line-height: normal;margin-bottom: 10px;\"><span style=\"color: rgb(63, 63, 63);font-size: 13px;\">1. Equivariant vector field network for many-body system modeling\uff0c arxiv: 3996549<\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;text-align: left;line-height: normal;margin-bottom: 10px;\"><span style=\"color: rgb(63, 63, 63);font-size: 13px;\">2. On the Neural Tangent Kernel of Deep Networks with Orthogonal Initialization, IJCAI 2021<\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;text-align: left;line-height: normal;margin-bottom: 10px;\"><span style=\"color: rgb(63, 63, 63);font-size: 13px;\">3.&nbsp;Scaling Properties of Deep Residual Networks, &nbsp;2105.12245<\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;text-align: left;line-height: normal;margin-bottom: 10px;\"><span style=\"color: rgb(63, 63, 63);font-size: 13px;\">4. The Principles of Deep Learning Theory, &nbsp; 2106.10165<\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><br  \/><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><strong><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u8bb2\u8005\u4ecb\u7ecd\uff1a<\/span><\/strong><span style=\"font-size: 15px;color: rgb(63, 63, 63);\"><\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><strong><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u675c\u4f1f\u97ec<\/span><\/strong><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\uff1a\u672c\u79d1\u5728\u4e2d\u79d1\u5927\u5b66\u4e60\u7406\u8bba\u7269\u7406\uff0c\u535a\u58eb\u5728northwestern\u548c\u4e2d\u79d1\u5927\u8fdb\u4fee\u57fa\u7840\u6570\u5b66\u535a\u58eb\u5b66\u4f4d\uff0c\u7814\u7a76\u65b9\u5411\u4e3a\u6d41\u5f62\u4e0a\u7684\u968f\u673a\u5206\u6790\uff0c\u5e76\u5728\u534e\u4e3a\u8bfa\u4e9a\u5b9e\u9a8c\u5ba4\u548c\u5fae\u8f6fdeep learning theory\u7ec4\u5b9e\u4e60\uff0c\u5373\u5c06\u52a0\u5165\u4e2d\u79d1\u9662\u9a6c\u5fd7\u660e\u9662\u58eb\u7814\u7a76\u7ec4\u505a\u535a\u58eb\u540e\u3002<\/span><\/section>\n<h4 style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><br  \/><\/h4>\n<h4 style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"color: rgb(33, 166, 210);\"><strong><span style=\"font-size: 15px;\">\u5085\u6e25\u6210\uff1a\u86cb\u767d\u8d28\u52a8\u529b\u5b66\u8ddf\u8fdb\u5316\u4e4b\u95f4\u7684\u5bf9\u5e94\u5173\u7cfb<\/span><\/strong><\/span><\/h4>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><br  \/><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u86cb\u767d\u8d28\u7684\u52a8\u529b\u5b66\u548c\u8fdb\u5316\u662f\u751f\u547d\u79d1\u5b66\u7814\u7a76\u4e2d\u4e24\u4e2a\u91cd\u8981\u7684\u7814\u7a76\u4e3b\u9898\u3002\u52a8\u529b\u5b66\u548c\u8fdb\u5316\u5206\u522b\u6d89\u53ca\u5230\u4e86\u751f\u547d\u73b0\u8c61\u4e2d\u4e24\u4e2a\u76f8\u5dee\u5de8\u5927\u7684\u65f6\u95f4\u5c3a\u5ea6\uff0c\u7136\u800c\uff0c\u8bb8\u591a\u7814\u7a76\u8868\u660e\uff0c\u86cb\u767d\u8d28\u77ed\u65f6\u95f4\u5c3a\u5ea6\u7684\u52a8\u529b\u5b66\u548c\u957f\u65f6\u95f4\u5c3a\u5ea6\u7684\u9057\u4f20\u8fdb\u5316\u4e4b\u95f4\u5b58\u5728\u5f88\u9ad8\u7684\u76f8\u4f3c\u6027\u3002\u6211\u4eec\u57fa\u4e8e\u4e00\u4e2a\u7b80\u5316\u7684\u7406\u8bba\u6a21\u578b\u6846\u67b6\uff0c\u5efa\u7acb\u8d77\u4e86\u86cb\u767d\u8d28\u52a8\u529b\u5b66\u4e0e\u8fdb\u5316\u4e4b\u95f4\u7684\u5bf9\u5e94\u5173\u7cfb\uff0c\u5e76\u7528\u771f\u5b9e\u7684\u86cb\u767d\u8d28\u7ed3\u6784\u6570\u636e\u8fdb\u884c\u4e86\u9a8c\u8bc1\u3002\u5728\u8fd9\u4e2a\u6a21\u578b\u7684\u57fa\u7840\u4e0a\uff0c\u6211\u4eec\u8fd8\u8fdb\u4e00\u6b65\u5206\u6790\u4e86\u751f\u7269\u7cfb\u7edf\u7684\u201c\u529f\u80fd\u654f\u611f\u6027\u201d\u548c\u201c\u7a81\u53d8\u7a33\u5b9a\u6027\u201d\u4e8c\u8005\u4e4b\u95f4\u7684\u5173\u7cfb\u3002\u7814\u7a76\u8868\u660e\uff0c\u5c3d\u7ba1\u86cb\u767d\u8d28\u7684\u529f\u80fd\u8fd0\u52a8\u6d89\u53ca\u5230\u5927\u91cf\u7684\u81ea\u7531\u5ea6\uff0c\u4f46\u6784\u6210\u86cb\u767d\u8d28\u7684\u5404\u4e2a\u6c28\u57fa\u9178\u5374\u4f1a\u5f62\u6210\u67d0\u79cd\u96c6\u4f53\u79e9\u5e8f\uff0c\u503e\u5411\u4e8e\u6cbf\u7740\u5c11\u6570\u51e0\u4e2a\u7279\u5b9a\u7684\u65b9\u5411\u534f\u540c\u8fd0\u52a8\uff0c\u4ee5\u4fbf\u5176\u53d1\u6325\u529f\u80fd\uff0c\u800c\u8fd9\u51e0\u4e2a\u7279\u5b9a\u7684\u65b9\u5411\u662f\u8fdb\u5316\u7a33\u5b9a\u7684\uff0c\u7a81\u53d8\u6240\u5f71\u54cd\u7684\u4e3b\u8981\u662f\u5176\u5b83\u975e\u4e3b\u5bfc\u7684\u65b9\u5411\u3002\u8fd9\u79cd\u5bf9\u5e94\u5173\u7cfb\u4e5f\u5bf9\u6211\u4eec\u7814\u7a76\u5176\u5b83\u751f\u547d\u7cfb\u7edf\uff08\u4f8b\u5982\u5927\u8111\u3001\u751f\u7269\u7f51\u7edc\uff09\u4e43\u81f3\u66f4\u4e00\u822c\u7684\u590d\u6742\u7cfb\u7edf\u4e5f\u5177\u6709\u91cd\u5927\u7684\u542f\u53d1\u6027\u3002<\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><br  \/><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><strong><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u8bb2\u8005\u4ecb\u7ecd\uff1a<\/span><\/strong><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><strong><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u5085\u6e25\u6210<\/span><\/strong><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\uff08\u771f\u540d\uff1a\u5510\u4e7e\u5143\uff09\uff0c\u73b0\u4e3a\u65e5\u672c\u7406\u5316\u5b66\u7814\u7a76\u6240\uff08RIKEN\uff09\u8111\u79d1\u5b66\u7814\u7a76\u4e2d\u5fc3\u7814\u7a76\u5458\uff0c\u5357\u4eac\u5927\u5b66\u7269\u7406\u5b66\u535a\u58eb\u3002\u4e3b\u8981\u7814\u7a76\u65b9\u5411\u4e3a\u7edf\u8ba1\u7269\u7406\u5728\u751f\u7269\u5206\u5b50\u3001\u5927\u8111\u548c\u4eba\u5de5\u667a\u80fd\u7cfb\u7edf\u4e2d\u7684\u5e94\u7528\uff0c\u5728Phys. Rev. Lett.\uff0cPhys. Rev. Research\uff0cPloS. Comp. Biol. \u7b49\u6742\u5fd7\u53d1\u8868\u8fc7\u591a\u7bc7\u8bba\u6587\u3002\u79d1\u666e\u4f5c\u8005\uff0c\u77e5\u4e4e\u7269\u7406\u5b66\u3001\u751f\u7269\u5b66\u9886\u57df\u4f18\u79c0\u56de\u7b54\u8005\uff0c\u66fe\u51fa\u7248\u79d1\u666e\u4e66\u300a\u5b87\u5b99\u4ece\u4f55\u800c\u6765\u300b\u3002<\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;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;line-height: 1.75em;\"><span style=\"color: rgb(63, 63, 63);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: 13px;text-align: left;\"><strong style=\"white-space: normal;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u53c2\u8003\u6587\u732e\uff1a<\/span><\/strong><\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: normal;margin-bottom: 10px;text-align: left;\"><span style=\"color: rgb(63, 63, 63);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: 13px;text-align: left;\">1. Qian-Yuan Tang, Testsuhiro S. Hatakeyama, Kunihiko Kaneko, Functional Sensitivity and Mutational Robustness of Proteins, Physical Review Research 2(3), 033452 (2020).https:\/\/journals.aps.org\/prresearch\/abstract\/10.1103\/PhysRevResearch.2.033452<\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: normal;margin-bottom: 10px;text-align: left;\"><span style=\"color: rgb(63, 63, 63);font-size: 13px;text-align: left;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;\">2. Qian-Yuan Tang, Kunihiko Kaneko. Dynamics-Evolution Correspondence of Protein Structures. Physical Review Letters, 127, 098103 (2021). https:\/\/journals.aps.org\/prl\/abstract\/10.1103\/PhysRevLett.127.098103<\/span><\/section>\n<h4 style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><br  \/><\/h4>\n<h4 style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"color: rgb(33, 166, 210);\"><strong><span style=\"color: rgb(33, 166, 210);font-size: 15px;\">\u5f20\u6c5f\uff1a\u56e0\u679c\u6d8c\u73b0\u4e0e\u591a\u5c3a\u5ea6\u81ea\u52a8\u5efa\u6a21<\/span><\/strong><\/span><\/h4>\n<p><span style=\"font-size: 15px;color: rgb(63, 63, 63);\"><br  \/><\/span><\/p>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u590d\u6742\u7cfb\u7edf\u4e2d\u5e7f\u6cdb\u5b58\u5728\u7740\u6d8c\u73b0\u73b0\u8c61\uff0c\u5373\u5728\u5b8f\u89c2\u5c55\u73b0\u51fa\u4e0e\u5fae\u89c2\u5b8c\u5168\u4e0d\u540c\u7684\u73b0\u8c61\u548c\u89c4\u5f8b\uff0c\u5176\u4e2d\u5c31\u5305\u62ec\u4e00\u4e2a\u52a8\u529b\u5b66\u8fc7\u7a0b\u4e4b\u4e2d\u7684\u56e0\u679c\u8054\u7cfb\u3002Erik P. Hoel\u63d0\u51fa\u7684\u56e0\u679c\u6d8c\u73b0\u7406\u8bba\u901a\u8fc7\u5c06\u4e0d\u540c\u5c3a\u5ea6\u7684\u52a8\u529b\u5b66\u653e\u7f6e\u5728\u4e00\u4e2a\u6846\u67b6\u4e0b\uff0c\u4ece\u800c\u6210\u529f\u793a\u4f8b\u4e86\u5b8f\u89c2\u5c3a\u5ea6\u52a8\u529b\u5b66\u4f1a\u5177\u6709\u6bd4\u5fae\u89c2\u52a8\u529b\u5b66\u66f4\u5f3a\u7684\u56e0\u679c\u7279\u6027\u3002\u7136\u800c\uff0cErik\u7684\u6846\u67b6\u662f\u52a8\u529b\u5b66\u5df2\u77e5\u7684\uff0c\u6211\u4eec\u5229\u7528\u673a\u5668\u5b66\u4e60\u6280\u672f\uff0c\u63d0\u51fa\u4e86\u591a\u5c3a\u5ea6\u81ea\u52a8\u5efa\u6a21\u7684\u6784\u60f3\uff0c\u5e0c\u671b\u80fd\u591f\u901a\u8fc7\u6570\u636e\u9a71\u52a8\u7684\u65b9\u5f0f\uff0c\u81ea\u52a8\u6784\u5efa\u591a\u5c3a\u5ea6\u7684\u6a21\u578b\uff0c\u5e76\u627e\u5230\u56e0\u679c\u6d8c\u73b0\u73b0\u8c61\u7684\u6700\u4f18\u5c3a\u5ea6\u3002<\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><br  \/><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><strong><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u8bb2\u8005\u4ecb\u7ecd\uff1a<\/span><\/strong><span style=\"font-size: 15px;color: rgb(63, 63, 63);\"><\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><strong><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u5f20\u6c5f<\/span><\/strong><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\uff0c\u5317\u4eac\u5e08\u8303\u5927\u5b66\u7cfb\u7edf\u79d1\u5b66\u5b66\u9662\u6559\u6388\u3001\u96c6\u667a\u4ff1\u4e50\u90e8\u521b\u59cb\u4eba\u3001\u96c6\u667a\u5b66\u56ed\u521b\u59cb\u4eba\u3002\u4e3b\u8981\u7814\u7a76\u9886\u57df\u5305\u62ec\u590d\u6742\u7f51\u7edc\u4e0e\u673a\u5668\u5b66\u4e60\u3001\u590d\u6742\u7cfb\u7edf\u5206\u6790\u4e0e\u5efa\u6a21\u3001\u8ba1\u7b97\u793e\u4f1a\u79d1\u5b66\u7b49\u3002\u5176\u5f00\u521b\u7684\u96c6\u667a\u4ff1\u4e50\u90e8\u662f\u56fd\u5185\u5916\u77e5\u540d\u7684\u5b66\u672f\u793e\u533a\uff0c\u81f4\u529b\u4e8e\u590d\u6742\u7cfb\u7edf\u3001\u4eba\u5de5\u667a\u80fd\u7b49\u591a\u9886\u57df\u7684\u8de8\u5b66\u79d1\u4ea4\u6d41\u4e0e\u5408\u4f5c\u3002<\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;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;line-height: 1.75em;\"><strong><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u53c2\u8003\u6587\u732e\uff1a<\/span><\/strong><span style=\"font-size: 15px;color: rgb(63, 63, 63);\"><\/span><\/section>\n<section style=\"text-align: left;margin-left: 8px;margin-right: 8px;line-height: normal;margin-bottom: 10px;\"><span style=\"color: rgb(63, 63, 63);font-size: 13px;\">1. E. P. Hoel, L. Albantakis, and G. Tononi. \u201cQuantifying Causal Emergence Shows That Macro Can Beat Micro.\u201d Proceedings of the National Academy of Sciences 110, no. 49 (December 3, 2013): 19790\u201395. https:\/\/doi.org\/10.1073\/pnas.1314922110.<\/span><\/section>\n<section style=\"text-align: left;margin-left: 8px;margin-right: 8px;line-height: normal;margin-bottom: 10px;\"><span style=\"color: rgb(63, 63, 63);font-size: 13px;\">2. Li, Shuo-Hui, and Lei Wang. \u201cNeural Network Renormalization Group.\u201d Physical Review Letters 121, no. 26 (December 26, 2018). https:\/\/doi.org\/10.1103\/PhysRevLett.121.260601.<\/span><\/section>\n<p style=\"text-align: left;margin-left: 8px;margin-right: 8px;line-height: normal;margin-bottom: 25px;\"><span style=\"color: rgb(63, 63, 63);font-size: 13px;\">3. Yan Zhang, Yu Guo, Zhang Zhang, Mengyuan Chen, Shuo Wang, Jiang Zhang: Automated Discovery of Interactions and Dynamics for Large Networked Dynamical Systems, https:\/\/arxiv.org\/abs\/2101.00179, 2021<\/span><\/p>\n<h4 style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"color: rgb(33, 166, 210);\"><strong><span style=\"color: rgb(33, 166, 210);font-size: 15px;\">\u5c24\u4ea6\u5e84\uff1a\u4eba\u5de5\u667a\u80fd\u662f\u5982\u4f55\u7406\u89e3\u859b\u5b9a\u8c14\u732b\u7684\uff1f&nbsp;\u2014\u2014&nbsp;\u91cf\u5b50\u6d4b\u91cf\u4e2d\u7684\u56e0\u679c\u6d8c\u73b0<\/span><\/strong><\/span><\/h4>\n<p><span style=\"font-size: 15px;color: rgb(63, 63, 63);\"><br  \/><\/span><\/p>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u201c\u91cf\u5b50\u6d4b\u91cf\u4e2d\u7ecf\u5178\u73b0\u5b9e\u7684\u6d8c\u73b0\u201d\uff1a\u795e\u5947\u7684\u91cf\u5b50\u4e16\u754c\u548c\u7ecf\u5178\u4e16\u754c\u62e5\u6709\u5de8\u5927\u7684\u5dee\u5f02\uff0c\u901a\u5e38\u88ab\u6211\u4eec\u79f0\u4e3a\u53cd\u76f4\u89c9\u7684\u3002\u91cf\u5b50\u4e16\u754c\u4e2d\u7269\u4f53\u53ef\u4ee5\u5b58\u5728\u91cf\u5b50\u7ea0\u7f20\u548c\u7269\u6001\u53e0\u52a0\uff0c\u7136\u800c\u4f5c\u4e3a\u751f\u6d3b\u5728\u7ecf\u5178\u4e16\u754c\u4e2d\u5b8f\u89c2\u7269\u4f53\u7684\u6211\u4eec\u5374\u96be\u4ee5\u76f4\u63a5\u89c2\u5bdf\u5230\u8fd9\u4e9b\u795e\u5947\u7684\u73b0\u8c61\u3002\u6bcf\u4e00\u6b21\u6211\u4eec\u5bf9\u91cf\u5b50\u7269\u4f53\u7684\u6d4b\u91cf\uff0c\u5f97\u5230\u7684\u90fd\u4f1a\u662f\u7ecf\u5178\u7684\u6570\u636e\u3002\u90a3\u4e48\u5b8f\u89c2\u7684\u7ecf\u5178\u4e16\u754c\u548c\u5fae\u89c2\u7684\u91cf\u5b50\u4e16\u754c\u7a76\u7adf\u6709\u6ca1\u6709\u660e\u786e\u7684\u5206\u754c\u7ebf\u5462\uff1f\u5b8f\u89c2\u7684\u7ecf\u5178\u73b0\u5b9e(reality)\u662f\u4e0d\u662f\u53ef\u4ee5\u4ece\u5bf9\u91cf\u5b50\u4f53\u7cfb\u89c2\u6d4b\u7684\u7ecf\u5178\u6570\u636e\u4e2d\u6d8c\u73b0\u51fa\u6765\u5462\uff1f\u672c\u6b21\u8ba8\u8bba\uff0c\u5c24\u4ea6\u5e84\u6559\u6388\u5c06\u4ece\u91cf\u5b50\u6d4b\u91cf\u548c\u4eba\u5de5\u667a\u80fd\u7684\u89d2\u5ea6\u6765\u8bd5\u56fe\u56de\u7b54\u8fd9\u4e9b\u7269\u7406\u5b66\u4e2d\u7684\u91cd\u8981\u95ee\u9898\u3002<\/span><\/section>\n<p><br  \/><\/p>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><strong><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u8bb2\u8005\u4ecb\u7ecd\uff1a<\/span><\/strong><span style=\"font-size: 15px;color: rgb(63, 63, 63);\"><\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><strong><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u5c24\u4ea6\u5e84<\/span><\/strong><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\uff0c\u52a0\u5dde\u5927\u5b66\u5723\u5730\u4e9a\u54e5\u5206\u6821\u52a9\u7406\u6559\u6388\u3002\u7814\u7a76\u9886\u57df\u4e3a\u7406\u8bba\u51dd\u805a\u6001\u7269\u7406\uff0c\u5f3a\u5173\u8054\u7cfb\u7edf\uff0c\u91cf\u5b50\u62d3\u6251\u7269\u6001\uff0c\u591a\u4f53\u5c40\u57df\u5316\u4e0e\u70ed\u5316\uff0c\u7ea0\u7f20\uff0c\u5f20\u91cf\u7f51\u7edc\uff0c\u4ee5\u53ca\u5168\u606f\u539f\u7406\u4e0e\u673a\u5668\u5b66\u4e60\u3002<\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\"><br  \/><\/span><\/section>\n<h4 style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"color: rgb(33, 166, 210);\"><strong><span style=\"color: rgb(33, 166, 210);font-size: 15px;\">\u5434\u4ee4\u98de\uff1aAging Scientists and Slowed Advance<\/span><\/strong><\/span><\/h4>\n<p><span style=\"color: rgb(33, 166, 210);\"><strong><span style=\"color: rgb(33, 166, 210);font-size: 15px;\"><br  \/><\/span><\/strong><\/span><\/p>\n<p style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u79d1\u5b66\u793e\u533a\u7684\u5e74\u9f84\u7ed3\u6784\u4e0e\u79d1\u5b66\u8fdb\u6b65\u7684\u7279\u5f81\u4e4b\u95f4\u6709\u4ec0\u4e48\u5173\u7cfb\uff1f\u65e9\u671f\u7684\u4e00\u4e9b\u7814\u7a76\u4fa7\u91cd\u4e8e\u8ba8\u8bba\u660e\u661f\u79d1\u5b66\u5bb6\u3001\u4ed6\u4eec\u7684\u804c\u4e1a\u751f\u6daf\u548c\u6210\u529f\u7684\u6982\u7387\u3002\u901a\u8fc7\u5206\u6790\u8fc7\u53bb40\u5e74\u67654600\u4e07\u8bba\u6587\u4e2d\u7684200\u4e07\u5b66\u8005\uff0c\u6211\u4eec\u53d1\u73b0\uff0c\u5bf9\u4e8e\u6240\u6709\u9886\u57df\u3001\u4e0d\u540c\u65f6\u671f\u548c\u4e0d\u540c\u5f71\u54cd\u529b\u7684\u7814\u7a76\u8005\u6765\u8bf4\uff0c\u4ed6\u4eec\u7684\u7814\u7a76\u60f3\u6cd5\u548c\u6d89\u53ca\u7684\u53c2\u8003\u6587\u732e\u5747\u968f\u7740\u804c\u4e1a\u5e74\u9f84\u7684\u589e\u957f\u800c\u8001\u5316\u3002\u8001\u5e74\u79d1\u5b66\u5bb6\u53d8\u5f97\u66f4\u6709\u53ef\u80fd\u6279\u5224\u6216\u5ffd\u89c6\u524d\u6cbf\u5de5\u4f5c\u3002\u540c\u65f6\uff0c\u6211\u4eec\u4e5f\u53d1\u73b0\uff0c\u8d8a\u65e9\u7684\u6210\u529f\u4f1a\u52a0\u901f\u79d1\u5b66\u5bb6\u7684\u77e5\u8bc6\u8001\u5316\uff0c\u4f46\u901a\u8fc7\u6269\u5145\u6216\u8005\u6539\u53d8\u7814\u7a76\u673a\u6784\u548c\u7814\u7a76\u9886\u57df\u4ee5\u53ca\u4e0e\u66f4\u5e74\u8f7b\u7684\u79d1\u5b66\u5bb6\u5408\u4f5c\u4f1a\u51cf\u7f13\u79d1\u5b66\u5bb6\u5728\u79d1\u7814\u4e0a\u8001\u5316\u3002\u6211\u4eec\u5206\u6790\u4e86\u4e0d\u540c\u9886\u57df\u7684\u7814\u7a76\u6a21\u5f0f\uff0c\u53d1\u73b0\u5e74\u9f84\u7ed3\u6784\u8001\u5316\u7684\u79d1\u5b66\u793e\u533a\u7ecf\u5386\u4e86\u66f4\u663e\u8457\u7684\u60f3\u6cd5\u6d41\u5931\u548c\u66f4\u5bb9\u6613\u88ab\u65e7\u53c2\u8003\u6587\u732e\u7684\u5438\u5f15\uff0c\u8fd9\u8868\u660e\u79d1\u5b66\u8001\u5316\u3001\u79d1\u5b66\u7814\u7a76\u548c\u79d1\u5b66\u8fdb\u6b65\u4e4b\u95f4\u53ef\u80fd\u5b58\u5728\u666e\u904d\u8054\u7cfb\u3002<\/span><\/p>\n<p style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><br  \/><\/p>\n<p style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><strong><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u8bb2\u8005\u4ecb\u7ecd\uff1a<\/span><\/strong><span style=\"font-size: 15px;color: rgb(63, 63, 63);\"><\/span><\/p>\n<h4 style=\"margin-right: 8px;margin-left: 8px;white-space: normal;line-height: 1.75em;\"><strong><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u5434\u4ee4\u98de<\/span><\/strong><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\uff0c<\/span>\u5339\u5179\u5821\u5927\u5b66\u52a9\u7406\u6559\u6388\uff0c\u7814\u7a76\u65b9\u5411\u4e3a\u8ba1\u7b97\u793e\u4f1a\u79d1\u5b66\u3001\u5927\u6570\u636e\u5206\u6790\u3001\u590d\u6742\u7cfb\u7edf\u5efa\u6a21\u4e0e\u5206\u6790\uff0c\u5bf9\u53d1\u73b0\u79d1\u6280\u521b\u65b0\u4ee5\u53ca\u52a0\u901f\u79d1\u6280\u521b\u65b0\u4e2d\u7684\u56e2\u961f\u673a\u5236\u611f\u5174\u8da3\u3002<\/h4>\n<p style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\"><br  \/><\/span><\/p>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\"><br  \/><\/span><\/section>\n<h3 style=\"outline: 0px;letter-spacing: 0.544px;white-space: normal;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);\">\n<section powered-by=\"xiumi.us\" style=\"outline: 0px;letter-spacing: 0.544px;font-family: PingFangSC-light;text-align: right;font-size: 13px;\">\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;\">\n<section style=\"outline: 0px;display: inline-block;vertical-align: middle;\">\n<section style=\"margin-bottom: -2px;outline: 0px;\">\n<section style=\"outline: 0px;float: left;width: 8px;height: 3px;background-color: rgb(33, 166, 210);line-height: 0;\"><br style=\"outline: 0px;\"  \/><\/section>\n<section style=\"outline: 0px;float: right;width: 8px;height: 3px;background-color: rgb(33, 166, 210);line-height: 0;\"><br style=\"outline: 0px;\"  \/><\/section>\n<section style=\"outline: 0px;clear: both;line-height: 0;\">\n<section style=\"outline: 0px;line-height: 0;width: 0px;\"><svg viewbox=\"0 0 1 1\" style=\"vertical-align:top;\"><\/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;\">\n<p style=\"outline: 0px;\"><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;\"><strong style=\"outline: 0px;text-align: left;color: rgb(33, 166, 210);font-family: PingFangSC-light;letter-spacing: 0.544px;\">\u5173\u4e8e\u201c\u96c6\u667a-\u51ef\u98ce\u7814\u8bfb\u8425\u201d<\/strong><\/strong><\/p>\n<\/section>\n<section style=\"margin-top: -2px;outline: 0px;\">\n<section style=\"outline: 0px;float: left;width: 8px;height: 3px;background-color: rgb(33, 166, 210);line-height: 0;\"><br style=\"outline: 0px;\"  \/><\/section>\n<section style=\"outline: 0px;float: right;width: 8px;height: 3px;background-color: rgb(33, 166, 210);line-height: 0;\"><br style=\"outline: 0px;\"  \/><\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/h3>\n<p style=\"margin-right: 8px;margin-left: 8px;outline: 0px;font-family: -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;white-space: normal;background-color: rgb(255, 255, 255);line-height: 1.75em;\"><br  \/><\/p>\n<section style=\"margin-left: 8px;margin-right: 8px;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u201c\u96c6\u667a-\u51ef\u98ce\u7814\u8bfb\u8425\u201d \u9879\u76ee\u662f\u7531\u51ef\u98ce\u57fa\u91d1\u4f1a\u8d44\u52a9\u3001\u96c6\u667a\u4ff1\u4e50\u90e8\u53d1\u8d77\u7684\uff0c\u9488\u5bf9\u91cf\u5b50\u4fe1\u606f\u3001\u4eba\u5de5\u667a\u80fd\u3001\u590d\u6742\u7cfb\u7edf\u3001\u8ba1\u7b97\u793e\u4f1a\u79d1\u5b66\u7b49\u7279\u5b9a\u4e3b\u9898\u7684\u5c01\u95ed\u5f0f\u4ea4\u6d41\u6d3b\u52a8\u3002<\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;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;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u6211\u4eec\u7684\u76ee\u6807\u662f\uff1a\u6c47\u805a\u672f\u4e1a\u6709\u4e13\u653b\u4f46\u53c8\u89c6\u91ce\u5e7f\u9614\u7684\u9752\u5e74\u5b66\u8005\uff0c\u8fdb\u884c\u8de8\u5b66\u79d1\u4ea4\u6d41\uff0c\u5bfb\u627e\u4e0d\u540c\u590d\u6742\u73b0\u8c61\u80cc\u540e\u7684\u7edf\u4e00\u89c4\u5f8b\u3002<\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px;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;line-height: 1.75em;\"><span style=\"font-size: 15px;color: rgb(63, 63, 63);\">\u6211\u4eec\u7684\u613f\u666f\u662f\uff1a\u901a\u8fc7\u6df1\u5ea6\u7814\u8bfb\u8ba8\u8bba\u524d\u6cbf\u79d1\u5b66\u7814\u7a76\uff0c\u5171\u540c\u754c\u5b9a\u548c\u5ba1\u89c6\u65b0\u7684\u95ee\u9898\uff0c\u5b9e\u73b0\u8de8\u6587\u5316\u3001\u8de8\u5b66\u79d1\u3001\u8de8\u9886\u57df\u7684\u5b66\u672f\u521b\u65b0\uff0c\u5f62\u6210\u771f\u6b63\u5177\u6709\u539f\u521b\u80fd\u529b\u7684\u5b66\u672f\u5c0f\u751f\u5883\u3002<\/span><\/section>\n<p style=\"margin-right: 8px;margin-left: 8px;outline: 0px;font-family: -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;white-space: normal;background-color: rgb(255, 255, 255);line-height: 1.75em;\"><br  \/><span style=\"outline: 0px;font-family: -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);font-size: 15px;color: rgb(63, 63, 63);\"><\/span><\/p>\n<p style=\"margin-right: 8px;margin-left: 8px;outline: 0px;font-family: -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;white-space: normal;background-color: rgb(255, 255, 255);line-height: 1.75em;\"><span style=\"color: rgb(63, 63, 63);font-size: 15px;\">\u8be6\u60c5\u8bf7\u89c1\uff1a<\/span><\/p>\n<p style=\"margin-right: 8px;margin-left: 8px;outline: 0px;font-family: -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;white-space: normal;background-color: rgb(255, 255, 255);line-height: 1.75em;\"><span style=\"font-size: 14px;\"><strong><span style=\"font-size: 14px;color: rgb(63, 63, 63);text-decoration: underline;\"><a target=\"_blank\" href=\"http:\/\/mp.weixin.qq.com\/s?__biz=MzIzMjQyNzQ5MA==&amp;mid=2247583228&amp;idx=1&amp;sn=561828d5092d15501c1c06eb0b33491a&amp;chksm=e896df71dfe1566792496c5240c9a3c1e78ddffc16546e1609f51c3ef6320652c38bb2f9f7fa&amp;scene=21#wechat_redirect\" textvalue=\"\u96c6\u667a-\u51ef\u98ce\u5956\u5b66\u91d1\u8ba1\u5212\u542f\u52a8\uff1a\u8d44\u52a9\u9752\u5e74\u5b66\u8005\u63a2\u7d22\u8de8\u5b66\u79d1\u7814\u7a76\" linktype=\"text\" imgurl=\"\" imgdata=\"null\" data-itemshowtype=\"0\" tab=\"innerlink\" data-linktype=\"2\" rel=\"noopener noreferrer\">\u96c6\u667a-\u51ef\u98ce\u5956\u5b66\u91d1\u8ba1\u5212\u542f\u52a8\uff1a\u8d44\u52a9\u9752\u5e74\u5b66\u8005\u63a2\u7d22\u8de8\u5b66\u79d1\u7814\u7a76<\/a><\/span><\/strong><\/span><\/p>\n<p style=\"margin-right: 8px;margin-left: 8px;outline: 0px;font-family: -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;white-space: normal;background-color: rgb(255, 255, 255);line-height: 1.75em;\"><br  \/><\/p>\n<p style=\"margin-right: 8px;margin-left: 8px;outline: 0px;font-family: -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;white-space: normal;background-color: rgb(255, 255, 255);line-height: 1.75em;\"><br  \/><\/p>\n<p style=\"margin-right: 8px;margin-bottom: 5px;margin-left: 8px;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;\"><strong style=\"outline: 0px;letter-spacing: 0.544px;color: rgb(0, 0, 0);font-size: 16px;text-align: center;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;\"><strong style=\"outline: 0px;text-align: left;color: rgb(33, 166, 210);font-family: PingFangSC-light;letter-spacing: 0.544px;\"><span style=\"outline: 0px;font-size: 15px;letter-spacing: 0.544px;\">\u63a8\u8350\u9605\u8bfb<\/span><\/strong><\/strong><\/p>\n<ul class=\"list-paddingleft-2\" style=\"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;width: 577.417px;\">\n<li style=\"outline: 0px;font-weight: bold;\">\n<section style=\"margin-right: 8px;margin-bottom: 10px;margin-left: 8px;outline: 0px;\"><a target=\"_blank\" href=\"http:\/\/mp.weixin.qq.com\/s?__biz=MzIzMjQyNzQ5MA==&amp;mid=2247570983&amp;idx=1&amp;sn=8ad08765b6f4ec3f5038663539de803b&amp;chksm=e8968caadfe105bc6416681f6f24eb76bcd75a1f222f9f8669e3666dc575e9b1df037c070754&amp;scene=21#wechat_redirect\" textvalue=\"\u56e0\u679c\u6d8c\u73b0\u8bfb\u4e66\u4f1a\u542f\u52a8\uff1a\u8fde\u63a5\u56e0\u679c\u3001\u6d8c\u73b0\u4e0e\u81ea\u6307\u2014\u2014\u8de8\u5c3a\u5ea6\u52a8\u529b\u5b66\u4e0e\u56e0\u679c\u89c4\u5f8b\u7684\u63a2\u7d22\" linktype=\"text\" imgurl=\"\" imgdata=\"null\" data-itemshowtype=\"0\" tab=\"innerlink\" style=\"text-decoration: underline;\" data-linktype=\"2\" rel=\"noopener noreferrer\">\u56e0\u679c\u6d8c\u73b0\u8bfb\u4e66\u4f1a\u542f\u52a8\uff1a\u8fde\u63a5\u56e0\u679c\u3001\u6d8c\u73b0\u4e0e\u81ea\u6307\u2014\u2014\u8de8\u5c3a\u5ea6\u52a8\u529b\u5b66\u4e0e\u56e0\u679c\u89c4\u5f8b\u7684\u63a2\u7d22<\/a><\/section>\n<\/li>\n<li style=\"outline: 0px;font-weight: bold;\">\n<section style=\"margin-right: 8px;margin-bottom: 10px;margin-left: 8px;outline: 0px;\"><a target=\"_blank\" href=\"http:\/\/mp.weixin.qq.com\/s?__biz=MzIzMjQyNzQ5MA==&amp;mid=2247580041&amp;idx=1&amp;sn=ac9c1f715efa58ca79fc416c6e41190c&amp;chksm=e896e304dfe16a12a7cb349d945f3fc400533c5b89f6df9a407c1654ccb248f1a65d1e89fb9e&amp;scene=21#wechat_redirect\" textvalue=\"\u56e0\u679c+X\uff1a\u89e3\u51b3\u591a\u5b66\u79d1\u9886\u57df\u7684\u56e0\u679c\u95ee\u9898 | \u56e0\u679c\u79d1\u5b66\u8bfb\u4e66\u4f1a\u7b2c\u4e09\u5b63\u542f\u52a8\" linktype=\"text\" imgurl=\"\" imgdata=\"null\" data-itemshowtype=\"0\" tab=\"innerlink\" style=\"text-decoration: underline;\" data-linktype=\"2\" rel=\"noopener noreferrer\">\u56e0\u679c+X\uff1a\u89e3\u51b3\u591a\u5b66\u79d1\u9886\u57df\u7684\u56e0\u679c\u95ee\u9898 | \u56e0\u679c\u79d1\u5b66\u8bfb\u4e66\u4f1a\u7b2c\u4e09\u5b63\u542f\u52a8<\/a><\/section>\n<\/li>\n<li style=\"outline: 0px;font-weight: bold;\">\n<section style=\"margin-right: 8px;margin-bottom: 10px;margin-left: 8px;outline: 0px;\"><a target=\"_blank\" href=\"http:\/\/mp.weixin.qq.com\/s?__biz=MzIzMjQyNzQ5MA==&amp;mid=2247580690&amp;idx=1&amp;sn=28837f702fcc5582966aa50e73215b67&amp;chksm=e896e69fdfe16f8922ca67d38ace36055533f54b1c19803d89c79c4451c66249eb93933a71a2&amp;scene=21#wechat_redirect\" textvalue=\"\u81ea\u4e0a\u800c\u4e0b\u56e0\u679c\u5173\u7cfb\u7279\u520a\uff1a\u7269\u7406\u3001\u751f\u7269\u3001\u793e\u4f1a\u4e2d\u7684\u56e0\u679c\u6d8c\u73b0\" linktype=\"text\" imgurl=\"\" imgdata=\"null\" data-itemshowtype=\"0\" tab=\"innerlink\" style=\"text-decoration: underline;\" data-linktype=\"2\" rel=\"noopener noreferrer\">\u81ea\u4e0a\u800c\u4e0b\u56e0\u679c\u5173\u7cfb\u7279\u520a\uff1a\u7269\u7406\u3001\u751f\u7269\u3001\u793e\u4f1a\u4e2d\u7684\u56e0\u679c\u6d8c\u73b0<\/a><\/section>\n<\/li>\n<li style=\"outline: 0px;font-weight: bold;\">\n<section style=\"margin-right: 8px;margin-bottom: 10px;margin-left: 8px;outline: 0px;\"><a target=\"_blank\" href=\"http:\/\/mp.weixin.qq.com\/s?__biz=MzIzMjQyNzQ5MA==&amp;mid=2247579503&amp;idx=1&amp;sn=3abbdcab02909b629b63e02fa36c9f22&amp;chksm=e896ede2dfe164f4ec834b57ad34e26048c6ce69482f30b5da47294a2181171ce9c40dd90840&amp;scene=21#wechat_redirect\" textvalue=\"Nature\uff1a\u5fae\u89c2\u91cf\u5b50\u81ea\u65cb\u7cfb\u7edf\u4e2d\u6d8c\u73b0\u51fa\u5b8f\u89c2\u7ecf\u5178\u73b0\u8c61\" linktype=\"text\" imgurl=\"\" imgdata=\"null\" data-itemshowtype=\"0\" tab=\"innerlink\" style=\"text-decoration: underline;\" data-linktype=\"2\" rel=\"noopener noreferrer\">Nature\uff1a\u5fae\u89c2\u91cf\u5b50\u81ea\u65cb\u7cfb\u7edf\u4e2d\u6d8c\u73b0\u51fa\u5b8f\u89c2\u7ecf\u5178\u73b0\u8c61<\/a><br  \/><\/section>\n<\/li>\n<li style=\"outline: 0px;\">\n<section style=\"margin-right: 8px;margin-bottom: 10px;margin-left: 8px;outline: 0px;\"><a target=\"_blank\" href=\"http:\/\/mp.weixin.qq.com\/s?__biz=MzIzMjQyNzQ5MA==&amp;mid=2247571346&amp;idx=2&amp;sn=bbaa3da959582bf7575e7c32089e155e&amp;chksm=e8968d1fdfe1040999b2716ea642129064c032a3b84227f51cdc055b82be97682be43d490dd8&amp;scene=21#wechat_redirect\" textvalue=\"\u52a0\u5165\u96c6\u667a\uff0c\u4e00\u8d77\u590d\u6742\uff01\" data-itemshowtype=\"0\" tab=\"innerlink\" data-linktype=\"2\" 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