{"id":53482,"date":"2024-11-12T22:16:40","date_gmt":"2024-11-12T14:16:40","guid":{"rendered":"https:\/\/swarma.org\/?p=53482"},"modified":"2024-11-12T22:16:40","modified_gmt":"2024-11-12T14:16:40","slug":"nat-commun-%e9%80%9f%e9%80%92%ef%bc%9a%e6%b7%b1%e5%ba%a6%e5%ad%a6%e4%b9%a0%e9%a2%84%e6%b5%8b%e5%a4%8d%e6%9d%82%e7%bd%91%e7%bb%9c%e7%b3%bb%e7%bb%9f%e9%9f%a7%e6%80%a7","status":"publish","type":"post","link":"https:\/\/swarma.org\/?p=53482","title":{"rendered":"Nat. Commun. \u901f\u9012\uff1a\u6df1\u5ea6\u5b66\u4e60\u9884\u6d4b\u590d\u6742\u7f51\u7edc\u7cfb\u7edf\u97e7\u6027"},"content":{"rendered":"
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\u8bba\u6587\u9898\u76ee\uff1aDeep learning resilience inference for complex networked systems<\/span><\/section>\n
\u8bba\u6587\u94fe\u63a5\uff1ahttps:\/\/www.nature.com\/articles\/s41467-024-53303-4<\/span><\/section>\n<\/section>\n<\/section>\n<\/blockquote>\n

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\u56fe1\uff1aGBB \u6846\u67b6\u5728\u9884\u6d4b\u7f51\u7edc\u97e7\u6027\u65f6\u7684\u5c40\u9650\u6027\u3002\uff08a-c\uff09\u63cf\u8ff0\u4e86\u5171\u751f\u52a8\u529b\u5b66\uff08mutualistic dynamics\uff09\u3001\u57fa\u56e0\u8c03\u63a7\u52a8\u529b\u5b66\uff08gene regulatory dynamics\uff09\u3001\u795e\u7ecf\u5143\u52a8\u529b\u5b66\uff08neuronal dynamics\uff09\u7f51\u7edc\uff0c\u5176\u4e2dr\u8868\u793a\u5ea6\u5173\u8054\u7cfb\u6570\uff08assortativity\uff0c\u540c\u914d\u6027\uff09\u3002\u4e2d\u6027\uff08neutral\uff09\u540c\u914d\u6027\u610f\u5473\u7740\u8282\u70b9\u8fde\u63a5\u662f\u968f\u673a\u7684\uff0c\u800c\u8d1f\u540c\u914d\u6027\u8868\u793a\u9ad8\u5ea6\u8fde\u63a5\u7684\u8282\u70b9\u503e\u5411\u4e8e\u4e0e\u4f4e\u5ea6\u8fde\u63a5\u7684\u8282\u70b9\u76f8\u8fde\uff0c\u6b63\u540c\u914d\u6027\u9ad8\u5ea6\u8282\u70b9\u66f4\u503e\u5411\u4e8e\u4e0e\u5176\u4ed6\u9ad8\u5ea6\u8282\u70b9\u8fde\u63a5\u3002\uff08d-f\uff09\u663e\u793a\u4e86 GBB \u6846\u67b6\u7684\u97e7\u6027\u9884\u6d4b\u7ed3\u679c\u3002\u7ea2\u8272\u548c\u84dd\u8272\u66f2\u7ebf\u5206\u522b\u8868\u793a\u6b63\u5e38\u529f\u80fd\u72b6\u6001\u548c\u7cfb\u7edf\u5d29\u6e83\u72b6\u6001\u4e0b\uff0c\u5e73\u5747\u90bb\u5c45\u6d3b\u52a8\u6c34\u5e73xeff<\/sub>\u4e0e\u03b2<\/span>eff<\/sub><\/span>\u7684\u5173\u7cfb\uff0c\u5e76\u7ed9\u51fa\u4e86\u4e34\u754c\u70b9<\/sub>\u3002\u5f53\u03b2<\/span>eff<\/sub>\u5c0f\u4e8e\u4e34\u754c\u70b9\u65f6\uff0c\u7cfb\u7edf\u88ab\u63a8\u65ad\u4e3a\u975e\u97e7\u6027\uff1b\u5426\u5219\uff0c\u88ab\u63a8\u65ad\u4e3a\u97e7\u6027\u3002\u7136\u800c\uff0cGBB \u6a21\u578b\u5bf9\u6709\u8d1f\u6216\u6b63\u5ea6\u76f8\u5173\u6027\u7684\u7f51\u7edc\u7ed9\u51fa\u4e0d\u51c6\u786e\u7684\u63a8\u65ad\u3002\uff08g-i\uff09\u6838\u5bc6\u5ea6\u4f30\u8ba1\u56fe\u5c55\u793a\u4e86\u8282\u70b9\u6d3b\u52a8\u7684\u7a33\u5b9a\u72b6\u6001\u5206\u5e03\uff0c\u5b9e\u9645\u6a21\u62df\u8868\u660e\uff0c\u6709\u4e9b\u7f51\u7edc\u7cfb\u7edf\u7684\u97e7\u6027\u63a8\u65ad\u4e0e GBB \u6846\u67b6\u76f8\u53cd\u3002\u4f8b\u5982\uff0c\u56fe (g) \u4e2d\u7684 Network (II) \u5c3d\u7ba1\u88ab GBB \u6846\u67b6\u8ba4\u4e3a\u975e\u97e7\u6027\uff0c\u4f46\u5b9e\u9645\u6709\u4e14\u53ea\u6709\u4e00\u4e2a\u975e\u5e73\u51e1\u7684\u6b63\u5e38\u529f\u80fd\u7a33\u5b9a\u72b6\u6001\uff0c\u663e\u793a\u5b83\u5b9e\u9645\u662f\u97e7\u6027\u7684\u3002\u975e\u5e73\u51e1\u7a33\u5b9a\u72b6\u6001\uff08non-trivial stable state\uff09\u63cf\u8ff0\u7684\u662f\u4e00\u4e2a\u590d\u6742\u7cfb\u7edf\u975e\u96f6\u7684\u7a33\u5b9a\u72b6\u6001\u3002\u8fd9\u4e0e\u5e73\u51e1\u7a33\u5b9a\u72b6\u6001\u5f62\u6210\u5bf9\u6bd4\uff0c\u540e\u8005\u901a\u5e38\u4ee3\u8868\u7cfb\u7edf\u6240\u6709\u8282\u70b9\u6d3b\u52a8\u4e3a\u96f6\uff0c\u5b8c\u5168\u5d29\u6e83\u3002<\/span><\/p>\n


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2. \u57fa\u4e8e\u6df1\u5ea6\u5b66\u4e60\u7684\u7f51\u7edc\u97e7\u6027\u9884\u6d4b\uff08ResInf\uff09<\/strong><\/span><\/strong><\/strong><\/p>\n<\/section>\n

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\u4e3a\u4e86\u89e3\u51b3 GBB \u6846\u67b6\u7684\u5c40\u9650\u6027\uff0c\u8fd9\u7bc7\u8bba\u6587\u7684\u7814\u7a76\u4eba\u5458\u5f00\u53d1\u4e86 ResInf \u6846\u67b6\u3002ResInf<\/strong> <\/strong>\u5229\u7528\u4e86<\/strong> <\/strong>Transformer<\/strong> <\/strong>\u548c\u56fe\u795e\u7ecf\u7f51\u7edc\u6a21\u578b\uff0c\u7528\u4ee5\u89e3\u6790\u590d\u6742\u7f51\u7edc\u7684\u62d3\u6251\u7ed3\u6784\u548c\u8282\u70b9<\/strong>\u72b6\u6001\u7684\u52a8\u6001\u6f14\u5316\u8fc7\u7a0b\uff0c\u5373\u7cfb\u7edf\u52a8\u529b\u5b66<\/strong>\uff0c\u5e76\u7cbe\u786e\u63a8\u65ad\u7f51\u7edc\u7684\u97e7\u6027<\/strong>\u3002\u5177\u4f53\u800c\u8a00\uff0cTransformer \u53ef\u4ee5\u6355\u6349\u4e0d\u540c\u8282\u70b9\u72b6\u6001\u590d\u6742\u7684\u65f6\u95f4\u5173\u8054\uff0c\u80fd\u591f\u5efa\u6a21\u5404\u79cd\u65f6\u95f4\u5c3a\u5ea6\u4e0a\u7684\u76f8\u4e92\u4f5c\u7528\u3002\u800c\u56fe\u795e\u7ecf\u7f51\u7edc\u901a\u8fc7\u6d88\u606f\u4f20\u9012\u673a\u5236\u7f16\u7801\u62d3\u6251\u4fe1\u606f\uff0c\u8003\u8651\u591a\u8df3\u4f9d\u8d56\u5173\u7cfb\u548c\u8282\u70b9\u4e4b\u95f4\u7684\u5173\u8054\u6548\u5e94\u3002ResInf \u901a\u8fc7\u5b66\u4e60\u4ece\u89c2\u5bdf\u6570\u636e\u4e2d\u63d0\u53d6\u7cfb\u7edf\u97e7\u6027\u4fe1\u606f\uff0c\u800c\u4e0d\u9700\u8981\u4efb\u4f55\u660e\u786e\u7684\u52a8\u529b\u5b66\u65b9\u7a0b\u5047\u8bbe\uff0c\u6781\u5927\u5730\u6269\u5c55\u4e86\u5176\u9002\u7528\u6027\u3002<\/span><\/section>\n

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\u56fe2. ResInf \u6846\u67b6\u7684\u5de5\u4f5c\u539f\u7406\u5206\u4e3a\u4e09\u4e2a\u4e3b\u8981\u6a21\u5757\uff1a\u7cfb\u7edf\u52a8\u529b\u5b66\u7f16\u7801\u5668\u3001\u62d3\u6251\u7f16\u7801\u5668\u548c k \u7a7a\u95f4\u6295\u5f71\u5668\u3002\u7cfb\u7edf\u52a8\u529b\u5b66\u7f16\u7801\u5668<\/strong>\uff1a\u4f7f\u7528\u5806\u53e0\u7684 Transformer \u7f16\u7801\u5668\u5c42\u4ece\u8f93\u5165\u7684\u8282\u70b9\u72b6\u6001\u8f68\u8ff9\u4e2d\u5b66\u4e60\u8282\u70b9\u72b6\u6001\u52a8\u529b\u5b66\u7684\u8868\u793a\u3002\u8fd9\u4e00\u6a21\u5757\u65e0\u9700\u4efb\u4f55\u5148\u9a8c\u77e5\u8bc6\uff0c\u901a\u8fc7\u5efa\u6a21\u8282\u70b9\u72b6\u6001\u4e4b\u95f4\u7684\u590d\u6742\u76f8\u5173\u6027\u751f\u6210\u5bc6\u96c6\u8868\u793a\u3002\u62d3\u6251\u7f16\u7801\u5668<\/strong>\uff1a\u4f7f\u7528\u56fe\u795e\u7ecf\u7f51\u7edc\uff08GNN\uff09\u5bf9\u8f93\u5165\u7684\u90bb\u63a5\u77e9\u9635\u8fdb\u884c\u5efa\u6a21\uff0c\u901a\u8fc7\u6d88\u606f\u4f20\u9012\u673a\u5236\u9012\u5f52\u805a\u5408\u6765\u81ea\u90bb\u5c45\u8282\u70b9\u7684\u7279\u5f81\uff0c\u751f\u6210\u6bcf\u4e2a\u8282\u70b9\u7684\u591a\u8df3\u90bb\u57df\u7684\u533a\u5206\u6027\u62d3\u6251\u8868\u793a\u3002k \u7a7a\u95f4\u6295\u5f71\u5668<\/strong>\uff1a\u5c06\u5b66\u4e60\u5230\u7684\u7cfb\u7edf\u52a8\u529b\u5b66\u548c\u7cfb\u7edf\u62d3\u6251\u7ed3\u6784\u7684\u8868\u793a\u805a\u5408\u5230\u4e00\u4e2a\u865a\u62df\u5168\u5c40\u8282\u70b9\u4e2d\uff0c\u63d0\u4f9b\u7cfb\u7edf\u7ea7\u7684\u7279\u5f81\u8868\u793a\u3002\u968f\u540e\uff0c\u901a\u8fc7\u591a\u5934\u81ea\u6ce8\u610f\u529b\u7f51\u7edc\u52a8\u6001\u878d\u5408\u8fd9\u4e9b\u8f68\u8ff9\u8868\u793a\uff0c\u5e76\u4f7f\u7528\u964d\u7ef4\u7f51\u7edc\u5c06\u5176\u6295\u5c04\u5230 1 \u7ef4 k \u7a7a\u95f4\uff0c\u4ee5\u5b9e\u73b0\u51c6\u786e\u7684\u97e7\u6027\u63a8\u65ad\u3002<\/span><\/p>\n


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\u7136\u800c\uff0c\u503c\u5f97\u6ce8\u610f\u7684\u662f\uff0cResInf \u4f9d\u8d56\u4e8e\u9700\u8981\u6807\u7b7e\u7684\u76d1\u7763\u5b66\u4e60\u67b6\u6784\uff0c\u800c\u8fd9\u4e9b\u6807\u7b7e<\/span>\uff08\u7cfb\u7edf\u662f\u5426\u5177\u6709\u97e7\u60270\uff0c1\u6807\u7b7e\uff09<\/span>\u5728\u73b0\u5b9e\u4e2d\u5f80\u5f80\u5f88\u96be\u83b7\u53d6\uff0c\u5c24\u5176\u662f\u5728\u590d\u6742\u6216\u52a8\u6001\u53d8\u5316\u7684\u7cfb\u7edf\u4e2d\u3002\u8fd9\u5728\u6ca1\u6709\u5145\u5206\u89c2\u6d4b\u6570\u636e\u7684\u573a\u666f\u4e0b\u53ef\u80fd\u5bfc\u81f4\u6a21\u578b\u8868\u73b0\u4e0b\u964d\u3002\u800cGBB\u4e0d\u4f9d\u8d56\u76d1\u7763\u4fe1\u53f7\uff0c\u56e0\u6b64\u6df1\u5ea6\u5b66\u4e60\u65b9\u6cd5\u548c\u4f20\u7edf\u7684\u590d\u6742\u7cfb\u7edf\u5efa\u6a21\u5206\u6790\u65b9\u6cd5<\/span>\uff08\u5982GBB\uff09<\/span>\u5728\u4e0d\u540c\u573a\u666f\u4e0b\u5404\u6709\u4f18\u52a3\u3002ResInf \u53ef\u80fd\u66f4\u9002\u5408\u5728\u771f\u5b9e\u4e16\u754c\u4e2d\u53ef\u4ee5\u83b7\u5f97\u5927\u91cf\u89c2\u5bdf\u6570\u636e\u7684\u590d\u6742\u7cfb\u7edf\uff0c\u6bd4\u5982\u5b9e\u9a8c\u5ba4\u7684\u5fae\u751f\u7269\u7cfb\u7edf\uff0c\u8fd9\u7c7b\u7cfb\u7edf\u7684\u8282\u70b9\u6d3b\u52a8\u52a8\u529b\u5b66\u65b9\u7a0b\u65e0\u6cd5\u660e\u786e\u63cf\u8ff0\uff0c\u56e0\u6b64\u4f20\u7edf\u7684\u5206\u6790\u65b9\u6cd5\u96be\u4ee5\u9002\u7528\u3002\u8fd9\u7bc7\u8bba\u6587\u5728\u5fae\u751f\u7269\u7cfb\u7edf\u97e7\u6027\u9884\u6d4b\u7684\u6570\u503c\u7ed3\u679c\u663e\u793a\uff0cResInf \u8fbe\u5230\u4e86\u663e\u8457\u7684\u51c6\u786e\u7387\uff0c\u5e73\u5747 F1 \u5206\u6570\u9ad8\u8fbe 0.829\u3002<\/span>\u7814\u7a76\u4eba\u5458\u8fdb\u4e00\u6b65\u7684\u5b9e\u9a8c\u663e\u793a\uff0c\u5229\u7528\u4e0e\u771f\u5b9e\u5fae\u751f\u7269\u751f\u6001\u7cfb\u7edf\u97e7\u6027\u4e27\u5931\u6a21\u5f0f\u76f8\u4f3c\u7684\u5408\u6210\u7cfb\u7edf\u6570\u636e\u9884\u8bad\u7ec3\u6a21\u578b\uff0c\u53ef\u6709\u6548\u8fc1\u79fb\u5230\u52a8\u529b\u5b66\u65b9\u7a0b\u672a\u77e5\u7684\u771f\u5b9e\u7cfb\u7edf\uff0c\u53d6\u5f97\u4e0e\u5728\u771f\u5b9e\u6570\u636e\u4e0a\u8bad\u7ec3\u76f8\u5f53\u7684\u9884\u6d4b\u6027\u80fd\uff0c\u5e73\u5747 F1 \u5206\u6570\u4e5f\u53ef\u8fbe\u5230 0.807\u3002\u5bf9 ResInf \u7684\u8fd9\u4e00\u5e94\u7528\u65b9\u5f0f\u4e3a\u89e3\u51b3\u5bf9\u771f\u5b9e\u6570\u636e\u91c7\u96c6\u548c\u6807\u6ce8\u7684\u4f9d\u8d56\u63d0\u4f9b\u4e86\u4e00\u79cd\u884c\u4e4b\u6709\u6548\u7684\u8def\u5f84\u3002<\/span><\/span><\/p>\n


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\u56fe3. \u771f\u5b9e\u4e16\u754c\u5fae\u751f\u7269\u7cfb\u7edf\u7684\u97e7\u6027\u9884\u6d4b\u3002\uff08a\uff09\u4e0d\u540c\u7269\u79cd\u7684\u76f8\u5bf9\u4e30\u5ea6\uff0c\u989c\u8272\u533a\u5206\u7269\u79cd\uff0c\u97e7\u6027\u7cfb\u7edf\u4e2d\u7684\u7269\u79cd\u4e30\u5ea6\u5b58\u5728\u7a33\u5b9a\u6001\uff0c\u975e\u97e7\u6027\u7cfb\u7edf\u4e2d\u7269\u79cd\u4e30\u5ea6\u6ce2\u52a8\u5267\u70c8\u3002\uff08b\uff09\u4e0d\u540c\u6a21\u578b\u7684 F1 \u5f97\u5206\u5bf9\u6bd4\u3002\uff08c\uff09\u4f7f\u7528 SIS \u7f51\u7edc\u52a8\u529b\u5b66\u751f\u6210\u7684\u5408\u6210\u7cfb\u7edf\u6570\u636e\u8fdb\u884c\u9884\u8bad\u7ec3\u540e\uff0c\u6a21\u578b\u5728\u63a8\u65ad\u8fd9\u4e9b\u771f\u5b9e\u5fae\u751f\u7269\u7cfb\u7edf\u97e7\u6027\u65b9\u9762\u7684\u6027\u80fd\u3002<\/span><\/p>\n


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\u6b64\u5916\uff0c\u5728\u4e09\u79cd\u4ee3\u8868\u6027\u7cfb\u7edf\u52a8\u529b\u5b66<\/span>\uff08\u5171\u751f\u52a8\u529b\u5b66\u3001\u57fa\u56e0\u8c03\u63a7\u52a8\u529b\u5b66\u548c\u795e\u7ecf\u5143\u52a8\u529b\u5b66\uff09<\/span>\u9a71\u52a8\u7684\u5408\u6210\u7f51\u7edc\u7cfb\u7edf\u4e2d\uff0cResInf \u660e\u663e\u4f18\u4e8e\u4f20\u7edf\u65b9\u6cd5\uff0c\u4e0e Gao-Barzel-Barab\u00e1si<\/span>\uff08GBB\uff09<\/span>\u6846\u67b6\u548c\u8c31\u7ef4\u5ea6\u964d\u7ef4<\/span>\uff08SDR\uff09<\/span>\u65b9\u6cd5\u76f8\u6bd4\uff0c\u6700\u5927 F1 \u5206\u6570\u5206\u522b\u63d0\u5347\u4e86 41.59% \u548c 14.32%\u3002\u6b64\u5916\uff0cResInf \u5728\u89c2\u6d4b\u6570\u636e\u542b\u6709\u566a\u58f0\u7684\u6761\u4ef6\u4e0b\uff0c\u4f8b\u5982\u7f51\u7edc\u62d3\u6251\u4e2d\u8fde\u8fb9\u7684\u5197\u4f59\u6216\u7f3a\u5931\uff0c\u8282\u70b9\u72b6\u6001\u7684\u89c2\u6d4b\u8f68\u8ff9\u542b\u6709\u968f\u673a\u566a\u58f0\u7b49\uff0c\u4f9d\u7136\u4fdd\u6301\u9c81\u68d2\u6027\uff0c\u8fd9\u4e9b\u7ed3\u679c\u8868\u660e\uff0c\u7cbe\u5fc3\u8bbe\u8ba1\u7684\u6df1\u5ea6\u5b66\u4e60\u6a21\u578b\u80fd\u6709\u6548\u5229\u7528\u89c2\u6d4b\u6570\u636e\u8fdb\u884c\u590d\u6742\u7cfb\u7edf\u5206\u6790\uff0c\u5e76\u4e14 ResInf \u6846\u67b6\u53ef\u4ee5\u5728\u4e0d\u4f9d\u8d56\u7b80\u5316\u5047\u8bbe\u7684\u60c5\u51b5\u4e0b\u9002\u5e94\u5404\u79cd\u5b9e\u9645\u590d\u6742\u7cfb\u7edf\u3002<\/span><\/section>\n

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\u56fe4. ResInf \u53ca\u5176\u4ed6\u57fa\u7ebf\u65b9\u6cd5\u7684\u97e7\u6027\u63a8\u65ad\u8868\u73b0\u3002\uff08a\uff09\u5171\u751f\u3001\uff08b\uff09\u57fa\u56e0\u8c03\u63a7\u548c\uff08c\uff09\u795e\u7ecf\u52a8\u529b\u5b66\u7f51\u7edc<\/span><\/p>\n


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\u5728\u56fe2\u4e2d\uff0cResInf \u901a\u8fc7\u8fd9\u79cd\u591a\u5c42\u6b21\u5b66\u4e60\u673a\u5236\u5c55\u793a\u4e86\u5176\u5728\u6355\u6349\u590d\u6742\u7f51\u7edc\u975e\u7ebf\u6027\u7cfb\u7edf\u52a8\u529b\u5b66\u673a\u5236\u548c\u62d3\u6251\u7ed3\u6784\u7279\u5f81\u65b9\u9762\u7684\u8f83\u5f3a\u6027\u80fd\uff0c\u663e\u8457\u63d0\u9ad8\u4e86\u97e7\u6027\u9884\u6d4b\u7684\u51c6\u786e\u6027\u3002<\/span><\/section>\n

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3. \u6a21\u578b\u7684\u6cdb\u5316\u80fd\u529b\u4e0e\u53ef\u89e3\u91ca\u6027<\/strong><\/span><\/strong><\/strong><\/p>\n<\/section>\n

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<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/h3>\n


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\u5728\u771f\u5b9e\u4e16\u754c\u4e2d\uff0c\u5177\u6709\u76f8\u4f3c\u529f\u80fd\u7684\u7f51\u7edc\u7cfb\u7edf\u901a\u5e38\u5177\u6709\u76f8\u540c\u5f62\u5f0f\u7684\u7cfb\u7edf\u52a8\u529b\u5b66\u673a\u5236\uff0c\u800c\u5b83\u4eec\u7684\u52a8\u529b\u5b66\u53c2\u6570\u901a\u5e38\u4e0d\u540c\u3002\u4f8b\u5982\uff0c\u7269\u79cd\u7684\u81ea\u6211\u7e41\u884d\u548c\u4e0d\u540c\u7269\u79cd\u4e4b\u95f4\u7684\u4e92\u5229\u5171\u751f\u6548\u5e94\u5bf9\u7269\u79cd\u4e30\u5ea6\u7684\u5f71\u54cd\u673a\u5236\u5728\u5927\u591a\u6570\u751f\u6001\u7cfb\u7edf\u4e2d\u53ef\u4ee5\u4f7f\u7528\u76f8\u540c\u7684\u5171\u751f\u52a8\u529b\u5b66\u5f62\u5f0f\u63cf\u8ff0\u3002\u7136\u800c\uff0c\u5171\u751f\u52a8\u529b\u5b66\u4e2d\u7684\u53c2\u6570\uff0c\u4f8b\u5982\u7269\u79cd\u7684\u6700\u5927\u73af\u5883\u5bb9\u7eb3\u91cf<\/span>\u5728\u4e0d\u540c\u7684\u751f\u6001\u7cfb\u7edf\u4e4b\u95f4\u5dee\u5f02\u5f88\u5927\u3002\u7814\u7a76\u4eba\u5458\u8bbe\u8ba1\u4e86\u4e00\u7cfb\u5217\u5b9e\u9a8c\uff0c\u9a8c\u8bc1 ResInf \u5728\u4e0d\u540c\u53c2\u6570\u7684\u52a8\u529b\u5b66\u65b9\u7a0b\u4e4b\u95f4\u7684\u6cdb\u5316\u8868\u73b0\u3002\u7ed3\u679c\u8868\u660e\uff0cResInf \u80fd\u6709\u6548\u6355\u6349\u7cfb\u7edf\u52a8\u529b\u5b66\u673a\u5236\u7684\u6838\u5fc3\u7279\u5f81\uff0c\u5728\u542b\u6709\u8bad\u7ec3\u96c6\u4e2d\u672a\u51fa\u73b0\u52a8\u529b\u5b66\u53c2\u6570\u7684\u6d4b\u8bd5\u7cfb\u7edf\u4e2d\u8868\u73b0\u4f18\u5f02\u3002\u4f8b\u5982\uff0c\u4f7f\u7528\u5171\u751f\u52a8\u529b\u5b66\u3001\u57fa\u56e0\u8c03\u63a7\u52a8\u529b\u5b66\u548c\u795e\u7ecf\u5143\u52a8\u529b\u5b66\u8fdb\u884c\u6d4b\u8bd5\u65f6\uff0cResInf \u5206\u522b\u53d6\u5f97\u4e86 0.921\u30010.892 \u548c 0.924\u7684F1\u5206\u6570\uff0c\u663e\u793a\u51fa\u5176\u8f83\u5f3a\u7684\u5b66\u4e60\u4e0e\u6cdb\u5316\u80fd\u529b\u3002<\/span><\/section>\n

<\/span><\/section>\n
\u7814\u7a76\u4eba\u5458\u8fdb\u4e00\u6b65\u63a2\u7d22\u4e86ResInf\u662f\u5426\u53ef\u4ee5\u4ece\u5177\u6709\u4e0e\u6240\u7814\u7a76\u7cfb\u7edf\u4e0d\u540c\u52a8\u529b\u5b66\u7684\u6570\u636e\u8bad\u7ec3\u4e2d\u53d7\u76ca\uff0c\u5e76\u76f4\u63a5\u63a8\u65ad\u6240\u7814\u7a76\u7cfb\u7edf\u7684\u97e7\u6027\uff0c\u5373 ResInf \u5728\u4e0d\u540c\u52a8\u529b\u5b66\u65b9\u7a0b\u5f62\u5f0f\u4e4b\u95f4\u7684\u6cdb\u5316\u80fd\u529b\u3002\u7ed3\u679c\u53d1\u73b0\uff0cResInf \u80fd\u5728\u8986\u76d6\u591a\u79cd\u97e7\u6027\u4e27\u5931\u6a21\u5f0f<\/span>\uff08\u76f8\u79fb\u548c\u591a\u7a33\u6001\u51fa\u73b0\uff09<\/span>\u7684\u6570\u636e\u4e0a\u8fdb\u884c\u8bad\u7ec3\uff0c\u5e76\u6355\u6349\u8fd9\u4e9b\u6f5c\u5728\u7684\u5171\u6027\u6a21\u5f0f\uff0c\u5c06\u8fd9\u4e9b\u901a\u7528\u77e5\u8bc6\u5e94\u7528\u4e8e\u4ee5\u524d\u672a\u89c1\u7684\u590d\u6742\u7cfb\u7edf\u3002\u4ed6\u4eec\u5f15\u5165\u4e86 SIS<\/span>\uff08\u6613\u611f\u67d3-\u611f\u67d3-\u6613\u611f\u67d3\uff09<\/span>\u52a8\u529b\u5b66<\/span>\uff08SIS dynamics\uff0c\u5bf9\u5e94\u76f8\u79fb\u7684\u97e7\u6027\u4e27\u5931\u6a21\u5f0f\uff09<\/span>\u548c\u6291\u5236\u52a8\u529b\u5b66<\/span>\uff08inhibitory dynamics\uff0c\u5bf9\u5e94\u591a\u7a33\u6001\u51fa\u73b0\u7684\u97e7\u6027\u4e27\u5931\u6a21\u5f0f\uff09<\/span>\u7528\u4e8e\u751f\u6210\u8bad\u7ec3\u6570\u636e\u8fdb\u884cResInf\u6a21\u578b\u8bad\u7ec3\uff0c\u7136\u540e\u5c06ResInf\u5e94\u7528\u4e8e\u8bad\u7ec3\u96c6\u4e2d\u672a\u89c1\u8fc7\u7684\u52a8\u529b\u5b66\u7cfb\u7edf\uff0c\u4f8b\u5982\u524d\u8ff0\u7684\u5171\u751f\u52a8\u529b\u5b66\u7f51\u7edc\u548c\u795e\u7ecf\u5143\u52a8\u529b\u5b66\u7f51\u7edc\u3002\u7ed3\u679c\u8868\u660e\uff0c\u5c3d\u7ba1\u4e0d\u540c\u52a8\u529b\u5b66\u65b9\u7a0b\u7684\u7279\u6027\u5dee\u5f02\u663e\u8457\uff0cResInf \u53ef\u4ee5\u6355\u6349\u4e0d\u540c\u52a8\u529b\u5b66\u7cfb\u7edf\u4e2d\u97e7\u6027\u4e27\u5931\u7684\u5171\u6027\u6a21\u5f0f\uff0c\u5e76\u4ee5\u9ad8\u7cbe\u5ea6\u8fdb\u884c\u9884\u6d4b\u3002<\/span><\/section>\n

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\u6b64\u5916\uff0cResInf \u63d0\u4f9b\u4e86\u4e00\u79cd\u53ef\u89c6\u5316\u5de5\u5177\uff0c\u5176\u5c06\u9ad8\u7ef4\u590d\u6742\u7cfb\u7edf\u6620\u5c04\u5230\u4e00\u7ef4\u7684 k \u7a7a\u95f4\u8fdb\u884c\u8868\u793a\u3002\u5728\u8fd9\u4e2a\u7a7a\u95f4\u4e2d\uff0c\u7cfb\u7edf\u4e0e\u97e7\u6027\u4e34\u754c\u70b9\u7684\u8ddd\u79bb\u76f4\u89c2\u5730\u5c55\u793a\u4e86\u5176\u97e7\u6027\uff0c\u4e3a\u79d1\u5b66\u5bb6\u63d0\u4f9b\u4e86\u5b9e\u7528\u4e14\u6613\u4e8e\u7406\u89e3\u7684\u89e3\u91ca\u65b9\u5f0f\u3002\u4e0e GBB \u548c SDR \u76f8\u6bd4\uff0ck \u7a7a\u95f4\u6295\u5f71\u5728\u533a\u5206\u97e7\u6027\u548c\u975e\u97e7\u6027\u7cfb\u7edf\u65f6\u8868\u73b0\u66f4\u4f73\uff0c\u8ba9\u79d1\u5b66\u5bb6\u66f4\u6e05\u6670\u5730\u770b\u5230\u590d\u6742\u7cfb\u7edf\u884c\u4e3a\u7684\u5168\u8c8c\u3002<\/span><\/section>\n
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\u56fe5\uff1aResInf \u7684 k \u7a7a\u95f4\u51b3\u7b56\u8868\u73b0\u53ca\u4e0e GBB \u548c SDR \u7684\u6bd4\u8f83\u3002ResInf \u5728k\u7a7a\u95f4\u4e2d\u5b9e\u73b0\u4e86\u97e7\u6027\u7cfb\u7edf\u4e0e\u975e\u97e7\u6027\u7cfb\u7edf\u7684\u66f4\u6e05\u6670\u7ebf\u6027\u5206\u79bb\uff0c\u8868\u73b0\u51fa\u66f4\u5f3a\u7684\u97e7\u6027\u9884\u6d4b\u80fd\u529b\u3002<\/span><\/p>\n


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4. \u4eba\u5de5\u667a\u80fd\u4e0e\u7edf\u8ba1\u7269\u7406\u7684\u5173\u7cfb<\/strong><\/span><\/strong><\/strong><\/p>\n<\/section>\n

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<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/h3>\n


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ResInf \u4f5c\u4e3a\u4e00\u79cd\u6570\u636e\u9a71\u52a8\u7684\u65b9\u6cd5\uff0c\u514b\u670d\u4e86\u4ee5\u5f80\u524d\u6cbf\u5206\u6790\u65b9\u6cd5\u4e2d\u5bf9\u7f51\u7edc\u62d3\u6251\u548c\u52a8\u529b\u5b66\u7684\u5047\u8bbe\uff0c\u4f8b\u5982\u5bf9\u4f4e\u5ea6\u76f8\u5173\u6027\u62d3\u6251\u7ed3\u6784\u7684\u8981\u6c42\u3001\u7ebf\u6027\u7cfb\u7edf\u52a8\u529b\u5b66\u7684\u9650\u5236\uff0c\u4ee5\u53ca\u5bf9\u7cfb\u7edf\u52a8\u529b\u5b66\u663e\u5f0f\u65b9\u7a0b\u7684\u5df2\u77e5\u9700\u6c42\u3002\u8fd9\u4e00\u8bbe\u8ba1\u663e\u8457\u6269\u5c55\u4e86 ResInf \u5728\u66f4\u5e7f\u6cdb\u7684\u590d\u6742\u7f51\u7edc\u7cfb\u7edf\u4e2d\u7684\u5e94\u7528\u573a\u666f\uff0c\u5305\u62ec\u793e\u4ea4\u7f51\u7edc\u4e2d\u7684\u590d\u6742\u4f20\u67d3\u3001\u7535\u7f51\u4e2d\u7684\u80fd\u91cf\u4f20\u8f93\uff0c\u4ee5\u53ca\u98df\u7269\u7f51\u4e2d\u7684\u6355\u98df\u884c\u4e3a\uff0c\u8fd9\u4e9b\u7cfb\u7edf\u901a\u5e38\u5177\u6709\u96be\u4ee5\u9884\u89c1\u6216\u660e\u786e\u5b9a\u4e49\u7684\u52a8\u529b\u5b66\u8fc7\u7a0b\u3002<\/span><\/section>\n

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\u5c3d\u7ba1\u590d\u6742\u7f51\u7edc\u7684\u89c2\u6d4b\u6570\u636e\u8d8a\u6765\u8d8a\u591a\uff0c\u83b7\u53d6\u9ad8\u8d28\u91cf\u7684\u8282\u70b9\u6d3b\u52a8\u8f68\u8ff9\u548c\u7f51\u7edc\u62d3\u6251\u4ecd\u7136\u662f\u4e00\u9879\u6311\u6218\uff0c\u7279\u522b\u662f\u5728\u9700\u8981\u5927\u89c4\u6a21\u5b9e\u9a8c\u5ba4\u73af\u5883\u7684\u771f\u5b9e\u7f51\u7edc\u4e2d\u4ee5\u53ca\u51c6\u786e\u7684\u97e7\u6027\u6807\u7b7e\u6570\u636e\u3002\u4f5c\u8005\u4e5f\u5f3a\u8c03 ResInf \u53ef\u4ee5\u5e94\u5bf9\u4e24\u7c7b\u4e3b\u8981\u97e7\u6027\u4e27\u5931\u6a21\u5f0f\uff0c\u4f46\u672a\u660e\u786e\u5982\u4f55\u5904\u7406\u672a\u6765\u53ef\u80fd\u53d1\u73b0\u7684\u65b0\u97e7\u6027\u4e27\u5931\u6a21\u5f0f\u3002\u5982\u679c\u8fd9\u4e9b\u65b0\u6a21\u5f0f\u4e0e\u5df2\u77e5\u6a21\u5f0f\u663e\u8457\u4e0d\u540c\uff0cResInf \u7684\u6cdb\u5316\u80fd\u529b\u53ef\u80fd\u4f1a\u53d7\u5230\u5f71\u54cd\uff0c\u8868\u73b0\u51fa\u6b21\u4f18\u6027\u80fd\u3002\u5728\u51fa\u73b0\u8fd9\u4e9b\u672a\u9884\u89c1\u7684\u65b0\u97e7\u6027\u4e27\u5931\u6a21\u5f0f\u65f6\uff0cResInf \u53ef\u80fd\u9700\u8981\u5927\u5e45\u5ea6\u8c03\u6574\u6216\u91cd\u65b0\u8bad\u7ec3\uff0c\u8fd9\u53ef\u80fd\u5bfc\u81f4\u65e0\u6cd5\u8fc5\u901f\u5e94\u5bf9\u7a81\u53d1\u7684\u7f51\u7edc\u7cfb\u7edf\u95ee\u9898\u3002\u5bf9\u6b64\uff0c\u8bba\u6587\u4f5c\u8005\u6307\u51fa\uff0c\u53ef\u4ee5\u5c06\u8fd9\u4e9b\u65b0\u578b\u6a21\u5f0f\u7eb3\u5165 ResInf \u7684\u9884\u8bad\u7ec3\u96c6\u4e2d\u4ee5\u5e2e\u52a9\u5e94\u5bf9\u8fd9\u4e00\u6311\u6218\u3002<\/span><\/p>\n


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\u540c\u65f6\uff0c\u5c3d\u7ba1 ResInf \u901a\u8fc7 k \u7a7a\u95f4\u6620\u5c04\u63d0\u4f9b\u4e86\u4e00\u5b9a\u7a0b\u5ea6\u7684\u89e3\u91ca\u6027\uff0c\u4f46\u76f8\u6bd4\u4e8e\u4f20\u7edf\u7684\u5206\u6790\u65b9\u6cd5\uff0c\u5982 GBB \u63d0\u4f9b\u7684\u660e\u786e\u6570\u5b66\u63a8\u5bfc\uff0c\u8fd9\u79cd\u89e3\u91ca\u6027\u4ecd\u663e\u5f97\u4e0d\u591f\u76f4\u89c2\u3002\u8fd9\u53ef\u80fd\u9650\u5236 ResInf \u5728\u5bf9\u53ef\u89e3\u91ca\u6027\u8981\u6c42\u9ad8\u7684\u5e94\u7528\u573a\u666f\u4e2d\u7684\u4f7f\u7528\uff0c\u4f8b\u5982\u5728\u7535\u7f51\u7ba1\u7406\u6216\u6d41\u884c\u75c5\u9632\u63a7\u4e2d\uff0c\u51b3\u7b56\u8005\u901a\u5e38\u9700\u8981\u660e\u786e\u7684\u56e0\u679c\u5173\u7cfb\u6216\u6570\u5b66\u903b\u8f91\u652f\u6301\uff0c\u7279\u522b\u662f\u9700\u8981\u5177\u4f53\u5230\u4e2d\u5c3a\u5ea6\u7684\u7f51\u7edc\u62d3\u6251\u6062\u590d\u7684\u7b56\u7565\u6307\u5bfc\u3002\u5f53\u5e94\u7528\u573a\u666f\u7684\u7cfb\u7edf\u52a8\u529b\u5b66\u8fc7\u7a0b\u53ef\u7528\u660e\u786e\u7684\u516c\u5f0f\u63cf\u8ff0\u65f6\uff0c\u4f20\u7edf\u7684\u5206\u6790\u65b9\u6cd5\uff0c\u5982 GBB \u7b49\u63d0\u4f9b\u7684\u660e\u786e\u56e0\u679c\u5173\u7cfb\u548c\u6570\u5b66\u63a8\u5bfc\u903b\u8f91\u53ef\u4ee5\u4e0e ResInf \u901a\u8fc7\u6570\u636e\u9a71\u52a8\u7684\u65b9\u5f0f\u5f97\u5230\u7684k\u7a7a\u95f4\u6620\u5c04\u5f62\u6210\u6709\u6548\u7684\u4e92\u8865\u548c\u9a8c\u8bc1\u3002\u57fa\u4e8e\u7edf\u8ba1\u7269\u7406\u7684\u7406\u8bba\u5206\u6790\u65b9\u6cd5\u548c\u57fa\u4e8e\u6df1\u5ea6\u5b66\u4e60\u7684\u6570\u636e\u9a71\u52a8\u65b9\u6cd5\u53ef\u4ee5\u76f8\u4e92\u534f\u540c\uff0c\u4e3a\u51b3\u7b56\u8005\u63d0\u4f9b\u66f4\u4e3a\u5168\u9762\u7684\u5206\u6790\u6846\u67b6\u3002<\/span><\/p>\n


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\u8bba\u6587\u4f5c\u8005\u8fdb\u4e00\u6b65\u9610\u8ff0\u4e86 ResInf \u5728\u7f51\u7edc\u62d3\u6251\u6062\u590d\u65b9\u9762\u7684\u5e94\u7528\u3002\u5177\u4f53\u6765\u8bf4\uff0c\u5728\u5b9e\u65bd\u62d3\u6251\u7ed3\u6784\u6062\u590d\u548c\u8282\u70b9\u91cd\u71c3[3]\u540e\uff0c\u53ef\u5c06\u91cd\u7ec4\u7684\u7cfb\u7edf\u62d3\u6251\u7ed3\u6784\u548c\u8282\u70b9\u7684\u72b6\u6001\u6f14\u5316\u8fc7\u7a0b\u8f93\u5165 ResInf\u3002\u6062\u590d\u540e\u7f51\u7edc\u5728 k \u7a7a\u95f4\u4e2d\u7684\u6620\u5c04 k \u503c\u53ef\u4f5c\u4e3a\u786e\u5b9a\u97e7\u6027\u6062\u590d\u7684\u6307\u6807\uff0c\u8fdb\u800c\u4f7f\u6211\u4eec\u80fd\u591f\u6539\u8fdb\u548c\u4f18\u5316\u8bbe\u8ba1\u7684\u6062\u590d\u7b56\u7565\u3002\u8fd9\u79cd\u89c2\u70b9\u5c06\u6062\u590d\u7684\u91cd\u70b9\u4ece\u5b64\u7acb\u7684\u5355\u8282\u70b9\u5e72\u9884\u63aa\u65bd\u8f6c\u79fb\u5230\u66f4\u7efc\u5408\u3001\u66f4\u7cfb\u7edf\u7684\u65b9\u6cd5\uff0c\u4f18\u5148\u8003\u8651\u7f51\u7edc\u7684\u7ed3\u6784\u5b8c\u6574\u6027\u53ca\u5176\u7ec4\u6210\u90e8\u5206\u4e4b\u95f4\u7684\u534f\u540c\u5173\u7cfb\uff0c\u8fd9\u5bf9\u4e8e\u5e94\u5bf9\u590d\u6742\u7684\u73b0\u5b9e\u6311\u6218\u81f3\u5173\u91cd\u8981\u3002<\/span><\/p>\n

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\u8fd9\u4e00\u7814\u7a76\u4e0d\u4ec5\u5c55\u73b0\u4e86\u4eba\u5de5\u667a\u80fd\u5728\u590d\u6742\u7f51\u7edc\u97e7\u6027\u9884\u6d4b\u4e2d\u7684\u5f3a\u5927\u6f5c\u529b\uff0c\u8fd8\u63ed\u793a\u4e86\u6df1\u5ea6\u5b66\u4e60\u4e0e\u7edf\u8ba1\u7269\u7406\u4e4b\u95f4\u65e5\u76ca\u5bc6\u5207\u7684\u8054\u7cfb\u3002\u4eba\u5de5\u667a\u80fd\u6280\u672f\uff0c\u5982\u6df1\u5ea6\u5b66\u4e60\uff0c\u901a\u8fc7\u4ece\u5927\u91cf\u89c2\u6d4b\u6570\u636e\u4e2d\u6355\u6349\u7f51\u7edc\u7cfb\u7edf\u7684\u9690\u542b\u89c4\u5f8b\uff0c\u6b63\u5728\u63a8\u52a8\u7edf\u8ba1\u7269\u7406\u7814\u7a76\u8fc8\u5411\u65b0\u7684\u7ef4\u5ea6\u3002\u8fd9\u4e00\u8de8\u5b66\u79d1\u878d\u5408\u4e3a\u7406\u89e3\u548c\u5e94\u5bf9\u590d\u6742\u7cfb\u7edf\u4e2d\u7684\u4e0d\u786e\u5b9a\u6027\u63d0\u4f9b\u4e86\u65b0\u7684\u601d\u8def\u4e0e\u5de5\u5177\u3002<\/span><\/section>\n

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\u53c2\u8003\u6587\u732e\uff1a<\/span><\/strong><\/section>\n
[1] Gao, J., Barzel, B. & Barab\u00e1si, AL. Universal resilience patterns in complex networks. Nature<\/em> 530, 307\u2013312 (2016). https:\/\/doi.org\/10.1038\/nature16948<\/span><\/section>\n
[2] Artime, O., Grassia, M., De Domenico, M. et al.<\/em> Robustness and resilience of complex networks. Nat Rev Phys<\/em> 6, 114\u2013131 (2024). https:\/\/doi.org\/10.1038\/s42254-023-00676-y<\/span><\/section>\n
[3] Sanhedrai, H., Gao, J., Bashan, A., Schwartz, M., Havlin, S., & Barzel, B. “Reviving a failed network through microscopic interventions.” Nat Phys<\/em> 18.3, 338-349 (2022). https:\/\/doi.org\/10.1038\/s41567-021-01474-y<\/span><\/section>\n

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\u76f8\u5173\u8bfb\u4e66\u4f1a<\/span><\/strong>
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\u611f\u5174\u8da3\u7684\u670b\u53cb\u53ef\u4ee5\u89c2\u770b\u8bba\u6587\u4f5c\u8005\u5218\u7545\u5728\u300c\u590d\u6742\u7cfb\u7edf\u81ea\u52a8\u5efa\u6a21\u300d\u8bfb\u4e66\u4f1a\u7b2c\u4e8c\u5b63\u5bf9\u76f8\u5173\u5de5\u4f5c\u7684\u4ecb\u7ecd\uff1a
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\u6570\u636e\u9a71\u52a8\u7684\u590d\u6742\u7cfb\u7edf\u97e7\u6027\u9884\u6d4b<\/a><\/h3>\n
https:\/\/pattern.swarma.org\/study_group_issue\/769<\/section>\n

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\u590d\u6742\u7cfb\u7edf\u81ea\u52a8\u5efa\u6a21\u8bfb\u4e66\u4f1a\u7b2c\u4e8c\u5b63<\/strong>
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\u201c\u590d\u6742\u4e16\u754c\uff0c\u7b80\u5355\u89c4\u5219\u201d\u3002<\/span><\/p>\n


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\u96c6\u667a\u4ff1\u4e50\u90e8\u8054\u5408\u590d\u65e6\u5927\u5b66\u667a\u80fd\u590d\u6742\u4f53\u7cfb\u5b9e\u9a8c\u5ba4\u9752\u5e74\u7814\u7a76\u5458\u6731\u7fa4\u559c\u3001\u6d59\u6c5f\u5927\u5b66\u767e\u4eba\u8ba1\u5212\u7814\u7a76\u5458\u674e\u6a35\u98ce\u3001\u6e05\u534e\u5927\u5b66\u7535\u5b50\u5de5\u7a0b\u7cfb\u6570\u636e\u79d1\u5b66\u4e0e\u667a\u80fd\u5b9e\u9a8c\u5ba4\u535a\u58eb\u540e\u7814\u7a76\u5458\u4e01\u749f\u97ec\u3001\u7f8e\u56fd\u4e1c\u5317\u5927\u5b66\u7269\u7406\u7cfbAlbert-L\u00e1szl\u00f3 Barab\u00e1si\u6307\u5bfc\u7684\u535a\u58eb\u540e\u9ad8\u5a77\u5a77\u3001\u5317\u4eac\u5927\u5b66\u535a\u96c5\u535a\u58eb\u540e\u66f9\u6587\u797a\u3001\u590d\u65e6\u5927\u5b66\u6570\u5b66\u79d1\u5b66\u5b66\u9662\u5e94\u7528\u6570\u5b66\u65b9\u5411\u535a\u58eb\u7814\u7a76\u751f\u8d75\u4f2f\u6797\u3001\u5317\u4eac\u5e08\u8303\u5927\u5b66\u7cfb\u7edf\u79d1\u5b66\u5b66\u9662\u535a\u58eb\u7814\u7a76\u751f\u725f\u7267\u4e91\uff0c\u5171\u540c\u53d1\u8d77\u300c\u590d\u6742\u7cfb\u7edf\u81ea\u52a8\u5efa\u6a21\u300d\u8bfb\u4e66\u4f1a\u7b2c\u4e8c\u5b63<\/a>\u3002<\/span><\/p>\n


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\u8bfb\u4e66\u4f1a\u5c06\u4e8e9\u67085\u65e5\u8d77\u6bcf\u5468\u56db\u665a\u4e0a20:00-22:00\u8fdb\u884c\uff0c\u63a2\u8ba8\u56db\u4e2a\u6838\u5fc3\u6a21\u5757\uff1a\u6570\u636e\u9a71\u52a8\u7684\u590d\u6742\u7cfb\u7edf\u5efa\u6a21\u3001\u590d\u6742\u7f51\u7edc\u7ed3\u6784\u63a8\u65ad\u3001\u5177\u6709\u53ef\u89e3\u91ca\u6027\u7684\u590d\u6742\u7cfb\u7edf\u63a8\u65ad\uff08\u52a8\u529b\u5b66+\u7f51\u7edc\u7ed3\u6784\uff09\u3001\u5e94\u7528-\u8d85\u6750\u6599\u8bbe\u8ba1\u548c\u57ce\u5e02\u7cfb\u7edf\uff0c\u901a\u8fc7\u91cd\u70b9\u8ba8\u8bba75\u7bc7\u7ecf\u5178\u3001\u524d\u6cbf\u7684\u91cd\u8981\u6587\u732e\uff0c\u4ece\u9ed1\u76d2\uff08\u6570\u636e\u9a71\u52a8\uff09\u5230\u767d\u76d2\uff08\u53ef\u89e3\u91ca\u6027\uff09\uff0c\u9010\u6b65\u6355\u6349\u7cfb\u7edf\u7684\u201c\u672c\u8d28\u201d\u89c4\u5f8b\uff0c\u5e2e\u52a9\u5927\u5bb6\u66f4\u597d\u7684\u8ba4\u8bc6\u3001\u7406\u89e3\u3001\u9884\u6d4b\u3001\u63a7\u5236\u3001\u8bbe\u8ba1\u590d\u6742\u7cfb\u7edf\uff0c\u4e3a\u76f8\u5173\u9886\u57df\u7684\u7814\u7a76\u548c\u5e94\u7528\u63d0\u4f9b\u6d1e\u89c1\u3002\u6b22\u8fce\u611f\u5174\u8da3\u7684\u670b\u53cb\u62a5\u540d\u53c2\u4e0e\uff01<\/span><\/p>\n


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\u8be6\u60c5\u8bf7\u89c1\uff1a<\/span><\/section>\n

\u590d\u6742\u7cfb\u7edf\u81ea\u52a8\u5efa\u6a21\u8bfb\u4e66\u4f1a\uff1a\u4ece\u6570\u636e\u9a71\u52a8\u5230\u53ef\u89e3\u91ca\u6027\uff0c\u63a2\u7d22\u7cfb\u7edf\u5185\u5728\u89c4\u5f8b\uff5c\u5185\u964475\u7bc7\u9886\u57df\u5fc5\u8bfb\u6587\u732e<\/strong><\/a><\/p>\n


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<\/section>\n
\u63a8\u8350\u9605\u8bfb<\/span><\/strong><\/strong><\/strong>
<\/section>\n
1. <\/strong>Nat. Rev. Phys.\u91cd\u78c5\u7efc\u8ff0\uff1a\u590d\u6742\u7f51\u7edc\u7684\u9c81\u68d2\u6027\u548c\u97e7\u6027<\/a><\/strong><\/span><\/strong><\/section>\n
2. <\/strong>\u524d\u6cbf\u901f\u9012\uff1a\u7f51\u7edc\u6f14\u5316\u7684\u5851\u9020\uff0c\u5148\u5929\u8fd8\u662f\u540e\u5929\u56e0\u7d20\u66f4\u91cd\u8981\uff1f<\/a><\/strong><\/span><\/section>\n
3. <\/strong>Physics Reports \u6700\u65b0\u7efc\u8ff0\uff1a\u9ad8\u9636\u4e92\u52a8\u7f51\u7edc\u7684\u7ed3\u6784\u548c\u52a8\u529b\u5b66<\/a><\/strong><\/span>
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4. <\/strong><\/span>\u5f20\u6c5f\uff1a\u7b2c\u4e09\u4ee3\u4eba\u5de5\u667a\u80fd\u6280\u672f\u57fa\u7840\u2014\u2014\u4ece\u53ef\u5fae\u5206\u7f16\u7a0b\u5230\u56e0\u679c\u63a8\u7406 | \u96c6\u667a\u5b66\u56ed\u5168\u65b0\u8bfe\u7a0b<\/a><\/strong><\/strong><\/span><\/section>\n
<\/strong>5.<\/strong> 11.11\u4e00\u5e74\u4e00\u6b21\u9650\u65f6\u7279\u60e0\uff01\u52a0\u5165\u96c6\u667a\u5b66\u56edVIP\uff0c\u4e00\u6b21\u6027\u89e3\u9501\u96c6\u667a\u5e73\u53f0\u6240\u6709\u5185\u5bb9\u8d44\u6e90<\/a><\/strong><\/strong><\/span><\/strong><\/strong><\/section>\n

6. <\/strong>\u52a0\u5165\u96c6\u667a\uff0c\u4e00\u8d77\u590d\u6742\uff01<\/strong><\/span><\/a><\/p>\n


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\u70b9\u51fb\u201c\u9605\u8bfb\u539f\u6587\u201d\uff0c\u62a5\u540d\u8bfb\u4e66\u4f1a<\/strong><\/span><\/strong><\/span><\/strong><\/p>\n

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