{"id":64409,"date":"2025-09-11T11:31:10","date_gmt":"2025-09-11T03:31:10","guid":{"rendered":"https:\/\/swarma.org\/?p=64409"},"modified":"2025-09-11T11:31:10","modified_gmt":"2025-09-11T03:31:10","slug":"%e5%a4%8d%e6%9d%82%e7%bd%91%e7%bb%9c%e7%93%a6%e8%a7%a3%e8%af%bb%e4%b9%a6%e4%bc%9a%e5%90%af%e5%8a%a8%ef%bc%9a%e4%bb%8e%e7%bb%93%e6%9e%84%e8%84%86%e5%bc%b1%e6%80%a7%e5%88%b0%e6%99%ba%e8%83%bd%e4%bc%98","status":"publish","type":"post","link":"https:\/\/swarma.org\/?p=64409","title":{"rendered":"\u590d\u6742\u7f51\u7edc\u74e6\u89e3\u8bfb\u4e66\u4f1a\u542f\u52a8\uff1a\u4ece\u7ed3\u6784\u8106\u5f31\u6027\u5230\u667a\u80fd\u4f18\u5316\u524d\u6cbf"},"content":{"rendered":"
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<\/span><\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/h3>\n


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\u8bfb\u4e66\u4f1a\u7b80\u4ecb<\/span><\/strong><\/span><\/strong><\/strong><\/p>\n<\/section>\n

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


<\/span><\/p>\n

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\u7f51\u7edc\u6027\u8d28<\/span><\/span><\/strong>
<\/span><\/span><\/p>\n

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\u74e6\u89e3\u7b97\u6cd5<\/span><\/span><\/strong>
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\u74e6\u89e3\u6a21\u578b<\/span><\/span><\/strong>
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\u6211\u4eec\u5c06\u63a2\u8ba8\u5982\u4e0b<\/span><\/span>\u6838\u5fc3\u95ee\u9898\uff1a<\/span><\/span><\/strong><\/span><\/p>\n

    \n
  1. \n

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  2. \n

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  3. \n

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      \n
    1. \n

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    2. \n

      \u7406\u8bba\u5de5\u5177<\/span><\/span><\/strong>\uff1a\u7406\u89e3\u4ece\u56fe\u8bba\u3001\u7edf\u8ba1\u7269\u7406\u5230\u673a\u5668\u5b66\u4e60\u7684\u591a\u79cd\u74e6\u89e3\u65b9\u6cd5\uff1b<\/span><\/span><\/span><\/p>\n<\/li>\n

    3. \n

      \u5e94\u7528\u542f\u53d1<\/span><\/span><\/strong>\uff1a\u601d\u8003\u5982\u4f55\u5728\u4e0d\u540c\u7c7b\u578b\u7684\u590d\u6742\u7f51\u7edc\u573a\u666f\u4e2d\uff0c\u5728\u52a8\u6001\u4e0e\u4e0d\u786e\u5b9a\u73af\u5883\u4e0b\u5b9e\u73b0\u74e6\u89e3\u7b56\u7565\u7684\u4f18\u5316\uff0c\u5e76\u63a8\u52a8\u7406\u8bba\u65b9\u6cd5\u5411\u66f4\u5e7f\u6cdb\u7684\u5b9e\u9645\u95ee\u9898\u8fc1\u79fb\u3002<\/span><\/span><\/span><\/p>\n<\/li>\n

    4. \n

      \u5b66\u672f\u5bf9\u8bdd<\/span><\/span><\/strong>\uff1a\u4e0e\u6765\u81ea\u4e0d\u540c\u5b66\u79d1\u80cc\u666f\u7684\u7814\u7a76\u8005\u5171\u540c\u63a2\u8ba8\u5173\u952e\u79d1\u5b66\u95ee\u9898\u4e0e\u672a\u6765\u65b9\u5411\u3002<\/span><\/span><\/span><\/p>\n<\/li>\n<\/ol>\n<\/section>\n<\/section>\n

      \n
      \n

      <\/span><\/section>\n

      <\/span><\/section>\n

      <\/span><\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n


      <\/span><\/p>\n


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      \n
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      <\/span><\/section>\n

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      <\/section>\n<\/section>\n<\/section>\n
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      \u8bfb\u4e66\u4f1a\u6846\u67b6<\/span><\/strong><\/span><\/strong><\/strong><\/p>\n<\/section>\n

      \n

      <\/span><\/section>\n

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


      <\/span><\/p>\n

      <\/section>\n


      <\/span><\/h2>\n

      \n
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      \u53d1\u8d77\u4eba\u56e2\u961f<\/span><\/strong><\/span><\/strong><\/strong><\/p>\n<\/section>\n

      \n

      <\/span><\/section>\n

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


      <\/span><\/p>\n

      <\/section>\n

      \u5434\u4fca\uff0c\u5317\u4eac\u5e08\u8303\u2f24\u5b66\u6587\u7406\u5b66\u9662\u7cfb\u7edf\u79d1\u5b66\u7cfb\u2f83\u7136\u79d1\u5b66\u2fbc\u7b49\u7814\u7a76\u9662\u590d\u6742\u7cfb\u7edf\u56fd\u9645\u79d1\u5b66\u4e2d\u2f3c\u6559\u6388\u3001\u535a\u2f20\u2f63\u5bfc\u5e08\uff0c\u56fd\u9632\u79d1\u6280\u2f24\u5b66\u3001\u4f26\u6566\u5e1d\u56fd\u7406\u2f2f\u5b66\u9662\u8054\u5408\u57f9\u517b\u535a\u2f20\uff0c\u52a0\u5dde\u2f24\u5b66\u6234\u7ef4\u65af\u5206\u6821\u8bbf\u95ee\u5b66\u8005\u3002\u201c\u590d\u6742\u7cfb\u7edf\u4e0e\u7fa4\u4f53\u51b3\u7b56\u201d\u2f34\u4e1c\u7701\u666e\u901a\u2fbc\u6821\u521b\u65b0\u56e2\u961f\u8d1f\u8d23\u2f08\uff0c\u2f0a\u9009\u6559\u80b2\u90e8\u201c\u65b0\u4e16\u7eaa\u4f18\u79c0\u2f08\u624d\u2f40\u6301\u8ba1\u5212\u201d\u3001\u2f34\u4e1c\u7701\u201c\u73e0\u6c5f\u2f08\u624d\u8ba1\u5212\u201d\uff08\u79d1\u6280\u521b\u65b0\u9886\u519b\u2f08\u624d\uff09\uff0c\u4e2d\u56fd\u7cfb\u7edf\u2f2f\u7a0b\u5b66\u4f1a\u2ed8\u5e74\u79d1\u6280\u5956\u83b7\u5f97\u8005\u3002<\/span><\/span><\/p>\n

      \u7814\u7a76\u65b9\u5411\uff1a\u590d\u6742\u7f51\u7edc\u4e0e\u590d\u6742\u7cfb\u7edf\u3001\u5927\u6570\u636e\u4e0e\u7fa4\u4f53\u51b3\u7b56\u3001\u4f53\u7cfb\u5de5\u7a0b\u4e0e\u653b\u9632\u535a\u5f08<\/span><\/span><\/p>\n


      <\/span><\/p>\n

      <\/section>\n

      \u8c2d\u7d22\u6021\uff0c\u535a\u58eb\uff0c\u56fd\u9632\u79d1\u6280\u5927\u5b66\u7cfb\u7edf\u5de5\u7a0b\u5b66\u9662\u526f\u7814\u7a76\u5458\uff0c\u56fd\u9632\u79d1\u6280\u5927\u5b66\u3001\u6ce2\u58eb\u987f\u5927\u5b66\u7684\u8054\u5408\u57f9\u517b\u535a\u58eb\u3002\u5165\u9009\u6e56\u5357\u7701\u8299\u84c9\u8ba1\u5212\u9752\u5e74\u4eba\u624d\u3001\u4e2d\u56fdCAAI\u793e\u4f1a\u8ba1\u7b97\u9752\u5e74\u5b66\u8005\u65b0\u661f\u3002<\/span><\/span><\/p>\n

      \u7814\u7a76\u65b9\u5411\uff1a\u590d\u6742\u7cfb\u7edf\u4e0e\u590d\u6742\u7f51\u7edc\u3001\u4eba\u7c7b\u884c\u4e3a\u52a8\u529b\u5b66\u3001\u79fb\u52a8\u8ba1\u7b97\u548c\u5e94\u6025\u7ba1\u7406<\/span><\/p>\n


      <\/span><\/p>\n

      <\/section>\n

      \u8c37\u4f1f\u4f1f\uff0c\u535a\u58eb\uff0c\u5317\u4eac\u5316\u5de5\u5927\u5b66\u4fe1\u606f\u79d1\u5b66\u4e0e\u6280\u672f\u5b66\u9662\u526f\u6559\u6388\uff0c\u5317\u4eac\u5e08\u8303\u5927\u5b66\u7cfb\u7edf\u5206\u6790\u4e0e\u96c6\u6210\u4e13\u4e1a\u535a\u58eb\uff0c\u5370\u7b2c\u5b89\u7eb3\u5927\u5b66\u3001\u829d\u52a0\u54e5\u5927\u5b66\u8054\u5408\u57f9\u517b\u535a\u58eb\u3002\u66fe\u4ee5\u7b2c\u4e00\u4f5c\u8005\u5728Nature Machine Intelligence, Nature Communications, Neural Networks, Social Networks\u7b49\u671f\u520a\u53d1\u8868\u5b66\u672f\u6587\u7ae0\u4e8c\u5341\u4f59\u7bc7\u3002<\/span><\/span><\/p>\n

      \u7814\u7a76\u65b9\u5411\uff1a\u56fe\u795e\u7ecf\u7f51\u7edc\u3001\u56fe\u7ec4\u5408\u4f18\u5316\u3001\u5f3a\u5316\u5b66\u4e60\u3001\u6570\u636e\u6316\u6398<\/span><\/span><\/p>\n


      <\/span><\/p>\n

      <\/section>\n

      \u8303\u5929\u9f99\uff0c\u535a\u58eb\uff0c\u4e2d\u56fd\u79d1\u5b66\u6280\u672f\u5927\u5b66\u7f51\u7edc\u7a7a\u95f4\u5b89\u5168\u5b66\u9662\u535a\u58eb\u540e\uff0c\u745e\u58eb\u5f17\u91cc\u5821\u5927\u5b66\uff08University of Fribourg\uff09\u7269\u7406\u5b66\u535a\u58eb\u6bd5\u4e1a\u3002\u4e3b\u6301\u53ca\u53c2\u4e0e\u5404\u7c7b\u7814\u7a76\u9879\u76ee\u5341\u4f59\u9879\uff0c\u5728Communications Physics\u3001Reliability Engineering & System Safety\u3001Chaos, Solitons & Fractals\u3001New Journal of Physics\u3001SCIENCE CHINA Information Sciences\u7b49\u9886\u57df\u5185\u77e5\u540d\u671f\u520a\u4e0a\u53d1\u8868\u5b66\u672f\u8bba\u658720\u4f59\u7bc7\u3002<\/span><\/span><\/p>\n

      \u7814\u7a76\u65b9\u5411\uff1a\u590d\u6742\u7f51\u7edc\u4fe1\u606f\u6316\u6398\u3001\u7f51\u7edc\u4f20\u64ad\u52a8\u529b\u5b66\u5efa\u6a21\u3001\u7f51\u7edc\u641c\u7d22\u4e0e\u4f18\u5316\u3001\u7f51\u7edc\u63a7\u5236<\/span><\/span><\/p>\n


      <\/span><\/p>\n

      <\/section>\n

      \u537f\u67ab\uff0c\u56fd\u9632\u79d1\u6280\u5927\u5b66\u7cfb\u7edf\u5de5\u7a0b\u5b66\u9662\u5728\u8bfb\u535a\u58eb\uff0c\u76ee\u524d\u5e08\u4ece\u8303\u957f\u4fca\u8001\u5e08\u3002\u672c\u7855\u5747\u6bd5\u4e1a\u4e8e\u4e2d\u56fd\u4f20\u5a92\u5927\u5b66\u5e94\u7528\u6570\u5b66\u4e13\u4e1a\u3002<\/span><\/span><\/p>\n

      \u7814\u7a76\u65b9\u5411\uff1a\u5173\u952e\u8282\u70b9\u8bc6\u522b\u3001\u7f51\u7edc\u74e6\u89e3<\/span><\/span><\/p>\n


      <\/span><\/h2>\n

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      <\/span><\/section>\n

      <\/span><\/section>\n
      \n
      <\/section>\n<\/section>\n<\/section>\n
      \n

      \u62a5\u540d\u53c2\u4e0e\u8bfb\u4e66\u4f1a<\/span><\/strong><\/span><\/strong><\/strong><\/p>\n<\/section>\n

      \n

      <\/span><\/section>\n

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


      <\/span><\/p>\n

      \u8fd0\u884c\u6a21\u5f0f<\/span><\/span><\/strong><\/span><\/p>\n

      \u4ece2025\u5e7410\u670814\u65e5\u5f00\u59cb\uff0c\u6bcf\u5468\u4e8c\u665a\u4e0a19:30-21:30<\/span><\/span><\/strong><\/span>\uff0c\u6301\u7eed\u65f6\u95f4\u9884\u8ba18\u5468\u5de6\u53f3\uff0c\u6309\u8bfb\u4e66\u4f1a\u6846\u67b6\u8bbe\u8ba1\uff0c\u6bcf\u5468\u8fdb\u884c\u7ebf\u4e0a\u4f1a\u8bae\uff0c\u4e0e\u4e3b\u8bb2\u4eba\u7b49\u793e\u533a\u6210\u5458\u5f53\u9762\u4ea4\u6d41\uff0c\u4f1a\u540e\u53ef\u4ee5\u83b7\u5f97\u89c6\u9891\u56de\u653e\u6301\u7eed\u5b66\u4e60\u3002<\/span><\/span><\/span><\/p>\n


      <\/span><\/strong><\/span><\/p>\n

      \u62a5\u540d\u65b9\u5f0f<\/span><\/span><\/strong><\/span><\/p>\n

      \u7b2c\u4e00\u6b65\uff1a\u5fae\u4fe1\u626b\u7801\u586b\u5199\u62a5\u540d\u4fe1\u606f\u3002<\/span><\/span><\/p>\n

      <\/section>\n

      \u626b\u7801\u62a5\u540d\uff08\u53ef\u5f00\u53d1\u7968\uff09<\/span><\/span><\/p>\n

      \u7b2c\u4e8c\u6b65\uff1a\u586b\u5199\u4fe1\u606f\u540e\uff0c\u4ed8\u8d39\u62a5\u540d\u3002\u5982\u9700\u7528\u652f\u4ed8\u5b9d\u652f\u4ed8\uff0c\u8bf7\u5728PC\u7aef\u8fdb\u5165\u8bfb\u4e66\u4f1a\u9875\u9762\u62a5\u540d\u652f\u4ed8\uff1a<\/span><\/span><\/p>\n

      https:\/\/pattern.swarma.org\/study_group\/70?from=wechat<\/span><\/span><\/p>\n

      \u7b2c\u4e09\u6b65\uff1a\u6dfb\u52a0\u8fd0\u8425\u8d1f\u8d23\u4eba\u5fae\u4fe1\uff0c\u62c9\u5165\u5bf9\u5e94\u4e3b\u9898\u7684\u8bfb\u4e66\u4f1a\u793e\u533a\uff08\u5fae\u4fe1\u7fa4\uff09\u3002<\/span><\/span><\/p>\n

      PS\uff1a\u4e3a\u786e\u4fdd\u4e13\u4e1a\u6027\u548c\u8ba8\u8bba\u7684\u805a\u7126\uff0c\u672c\u8bfb\u4e66\u4f1a\u8c22\u7edd\u8131\u79bb\u8bfb\u4e66\u4f1a\u4e3b\u9898\u548c\u590d\u6742\u79d1\u5b66\u95ee\u9898\u672c\u8eab\u7684\u7a7a\u6cdb\u7684\u54f2\u5b66\u548c\u601d\u8fa8\u5f0f\u8ba8\u8bba\uff1b\u5982\u679c\u51fa\u73b0\u8ba8\u8bba\u5185\u5bb9\u4e0d\u7b26\u5408\u8981\u6c42\u3001\u7ecf\u63d0\u9192\u65e0\u6548\u8005\uff0c\u4f1a\u88ab\u79fb\u9664\u7fa4\u804a\u5e76\u5bf9\u672a\u53c2\u4e0e\u90e8\u5206\u9000\u8d39\u3002<\/span><\/span><\/em><\/p>\n


      <\/span><\/strong><\/p>\n

      \u8bfb\u4e66\u4f1a\u8fd0\u8425\u8d1f\u8d23\u4eba<\/span><\/span><\/strong><\/p>\n

      <\/section>\n


      <\/span><\/strong><\/span><\/p>\n

      \u52a0\u5165\u793e\u533a\u540e\u53ef\u4ee5\u83b7\u5f97\u7684\u8d44\u6e90\uff1a<\/span><\/span><\/strong><\/span><\/p>\n

      \u5b8c\u6574\u6743\u9650\uff0c\u5305\u62ec<\/span><\/span>\u7ebf\u4e0a\u95ee\u7b54\u3001\u5f55\u64ad\u56de\u770b\u3001\u8d44\u6599\u5171\u4eab\u3001\u793e\u7fa4\u4ea4\u6d41\u3001\u4fe1\u606f\u540c\u6b65\u3001\u5171\u521b\u4efb\u52a1\u83b7\u53d6\u79ef\u5206\u7b49<\/span><\/span><\/strong>\u3002<\/span><\/span><\/span><\/p>\n

      <\/section>\n


      <\/span><\/strong><\/span><\/p>\n

      \u53c2\u4e0e\u5171\u521b\u4efb\u52a1\u83b7\u53d6\u79ef\u5206\uff0c\u5171\u5efa\u5b66\u672f\u793e\u533a\uff1a<\/span><\/span><\/strong><\/span><\/p>\n

      \u8bfb\u4e66\u4f1a\u91c7\u7528\u5171\u5b66\u5171\u7814\u673a\u5236\uff0c\u6210\u5458\u901a\u8fc7\u5185\u5bb9\u5171\u521b\u83b7\u79ef\u5206\uff08<\/span><\/span>\u5b57\u5e55\u4fee\u6539\u3001\u8bfb\u4e66\u4f1a\u7b14\u8bb0\u3001\u8bba\u6587\u901f\u9012\u3001\u516c\u4f17\u53f7\u6587\u7ae0\u3001\u96c6\u667a\u767e\u79d1\u3001\u8bba\u6587\u89e3\u8bfb\u7b49\u5171\u521b\u4efb\u52a1<\/span><\/span><\/strong>\uff09\uff0c\u79ef\u5206\u7b26\u5408\u6761\u4ef6\u5373\u53ef\u9000\u8d39\u3002<\/span><\/span><\/span><\/p>\n

      <\/section>\n

      PS\uff1a\u5177\u4f53\u53c2\u4e0e\u65b9\u5f0f\u53ef\u4ee5\u52a0\u5165\u8bfb\u4e66\u4f1a\u540e\u67e5\u770b\u5bf9\u5e94\u7684\u5171\u521b\u4efb\u52a1\u5217\u8868\uff0c\u9886\u53d6\u4efb\u52a1\uff0c\u4e0e\u8fd0\u8425\u8d1f\u8d23\u4eba\u6c9f\u901a\u8be6\u60c5\uff0c\u4e0a\u8ff0\u89c4\u5219\u7684\u6700\u7ec8\u89e3\u91ca\u6743\u5f52\u96c6\u667a\u4ff1\u4e50\u90e8\u6240\u6709\u3002<\/span><\/span><\/p>\n


      <\/span><\/h2>\n

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

      \u8bfb\u4e66\u4f1a\u9605\u8bfb\u6750\u6599<\/span><\/strong><\/span><\/strong><\/strong><\/p>\n<\/section>\n

      \n

      <\/span><\/section>\n

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


      <\/span><\/p>\n

      \u9605\u8bfb\u6750\u6599\u8f83\u957f\uff0c\u4e3a\u4e86\u66f4\u597d\u7684\u9605\u8bfb\u4f53\u9a8c\uff0c\u5efa\u8bae\u60a8\u524d\u5f80\u96c6\u667a\u6591\u56fe\u6c89\u6d78\u5f0f\u9605\u8bfb\uff0c\u5e76\u53ef\u6536\u85cf\u611f\u5174\u8da3\u7684\u8bba\u6587\u3002<\/span><\/span><\/p>\n

      <\/section>\n

      https:\/\/pattern.swarma.org\/article\/371<\/span><\/span><\/p>\n

      \u8bfb\u4e66\u4f1a\u9605\u8bfb\u6e05\u5355<\/span><\/span><\/section>\n


      <\/span><\/p>\n

      \u4e3b\u9898<\/span><\/span><\/strong>\u4e00<\/span><\/span><\/strong>\uff1a\u542f\u53d1\u5f0f\u7b97\u6cd5\u5728\u74e6\u89e3\u95ee\u9898\u4e2d\u7684\u6548\u7387<\/span><\/span><\/strong><\/span><\/h3>\n

      \u53d1\u8d77\u4eba\uff1a\u8c2d\u7d22\u6021<\/span><\/span><\/strong><\/p>\n

      <\/section>\n

      \u4e3b\u9898\u4ecb\u7ecd\uff1a<\/span><\/span><\/strong><\/strong><\/p>\n

      \u7f51\u7edc\u74e6\u89e3\u65e8\u5728\u5c06\u5927\u89c4\u6a21\u7f51\u7edc\u5206\u89e3\u4e3a\u4e92\u4e0d\u8fde\u901a\u7684\u788e\u7247\uff0c\u4ece\u800c\u6700\u5927\u5316\u7834\u574f\u7f51\u7edc\u7684\u8fde\u901a\u6027\u3002\u5927\u91cf\u7814\u7a76\u7ed3\u5408\u56fe\u8bba\u3001\u7edf\u8ba1\u7269\u7406\u4e0e\u7ec4\u5408\u4f18\u5316\uff0c\u5229\u7528\u542f\u53d1\u5f0f\u7b97\u6cd5\uff08\u5982\u8d2a\u5fc3\u7b56\u7565\u3001\u4fe1\u5ff5\u4f20\u64ad\u3001\u96c6\u4f53\u5f71\u54cd\u529b\u7b49\uff09\u9ad8\u6548\u903c\u8fd1\u6700\u4f18\u89e3\uff0c\u5728\u8d44\u6e90\u6709\u9650\u6761\u4ef6\u4e0b\u5b9e\u73b0\u5bf9\u7f51\u7edc\u7ed3\u6784\u7684\u7cbe\u51c6\u74e6\u89e3\u3002\u76f8\u5173\u7814\u7a76\u6210\u679c\u5728\u7f51\u7edc\u5b89\u5168\u9632\u5fa1\u3001\u6d41\u884c\u75c5\u63a7\u5236\u3001\u793e\u4ea4\u7f51\u7edc\u8c23\u8a00\u904f\u5236\u3001\u57fa\u7840\u8bbe\u65bd\u4fdd\u62a4\u7b49\u9886\u57df\u5177\u6709\u91cd\u8981\u5e94\u7528\u4ef7\u503c\uff0c\u4e3a\u7406\u89e3\u7f51\u7edc\u9c81\u68d2\u6027\u4e0e\u8106\u5f31\u6027\u63d0\u4f9b\u4e86\u4e00\u79cd\u666e\u9002\u6027\u7684\u7814\u7a76\u8303\u5f0f\u3002<\/span><\/span><\/p>\n

      \u6838\u5fc3\u5173\u6ce8\u95ee\u9898\uff1a<\/span><\/span><\/strong><\/p>\n

      \uff081\uff09 \u5728\u6709\u9650\u4fe1\u606f\u4e0e\u4e0d\u5b8c\u5168\u89c2\u6d4b\u6761\u4ef6\u4e0b\uff0c\u5982\u4f55\u901a\u8fc7\u7edf\u8ba1\u63a8\u65ad\u673a\u5236\u8bbe\u8ba1\u51fa\u9ad8\u6548\u3001\u53ef\u6269\u5c55\u4e14\u63a5\u8fd1\u6700\u4f18\u6027\u80fd\u7684\u74e6\u89e3\u7b56\u7565\uff1f<\/span><\/span><\/section>\n
      \uff082\uff09 \u201c\u6700\u4f18\u74e6\u89e3\u201d\u95ee\u9898\u662f\u5426\u53ef\u903c\u8fd1\uff0c\u903c\u8fd1\u8bef\u5dee\u7684\u7406\u8bba\u754c\u9650\u4e0e\u5b9e\u9645\u8868\u73b0\u5982\u4f55\uff1f<\/span><\/span><\/section>\n
      \uff083\uff09 \u5173\u952e\u8282\u70b9\u6216\u8fb9\u7684\u7ed3\u6784\u6027\u7279\u5f81\u5982\u4f55\u88ab\u6709\u6548\u8bc6\u522b\uff0c\u5e76\u5728\u4e0d\u540c\u7f51\u7edc\u7c7b\u578b\u4e2d\u4fdd\u6301\u7a33\u5b9a\u6027\uff1f<\/span><\/span><\/section>\n
      \uff084\uff09 \u74e6\u89e3\u8fc7\u7a0b\u4e0e\u7f51\u7edc\u9c81\u68d2\u6027\u3001\u4f20\u64ad\u52a8\u529b\u5b66\u4e4b\u95f4\u5b58\u5728\u54ea\u4e9b\u5185\u5728\u5173\u8054\uff0c\u80fd\u5426\u5f62\u6210\u7edf\u4e00\u7684\u5206\u6790\u6846\u67b6\uff1f<\/span><\/span><\/section>\n

      \u6838\u5fc3\u6587\u732e\uff1a<\/span><\/span><\/strong><\/p>\n

      \uff081\uff09Braunstein A, Dall\u2019Asta L, Semerjian G, et al. Network dismantling[J]. Proceedings of the National Academy of Sciences, 2016, 113(44): 12368-12373.<\/span><\/span><\/p>\n

      \u63d0\u51faMin-sum\u7b97\u6cd5\u89e3\u51b3\u7f51\u7edc\u74e6\u89e3\u95ee\u9898\uff0c\u7531\u4e09\u4e2a\u9636\u6bb5\u7ec4\u6210\uff0c\u9996\u5148\u5229\u7528\u6d88\u606f\u4f20\u9012\u7b97\u6cd5\u7684\u53d8\u4f53\u6765\u6253\u7834\u7f51\u7edc\u6240\u6709\u5faa\u73af\uff1b\u7136\u540e\u5220\u9664\u5c11\u91cf\u5bf9\u7f51\u7edc\u8fde\u901a\u6027\u5f71\u54cd\u6700\u5927\u7684\u8282\u70b9\uff0c\u4f7f\u5269\u4f59\u7f51\u7edc\u5206\u89e3\u4e3a\u5c0f\u7ec4\u4ef6\uff1b\u6700\u540e\u5728\u4e0d\u6539\u53d8\u74e6\u89e3\u9608\u503c\u7684\u524d\u63d0\u4e0b\uff0c\u4ee5\u8d2a\u5fc3\u7b56\u7565\u91cd\u65b0\u63d2\u5165\u90e8\u5206\u88ab\u79fb\u9664\u7684\u8282\u70b9\uff0c\u4f18\u5316\u6574\u4f53\u74e6\u89e3\u6548\u7387\u3002<\/span><\/span><\/p>\n

      \uff082\uff09Mugisha S, Zhou H J. Identifying optimal targets of network attack by belief propagation[J]. Physical Review E, 2016, 94(1): 012305.<\/span><\/span><\/p>\n

      \u63d0\u51faBPD\u7b97\u6cd5\uff0c\u4e0eMinSum\u7b97\u6cd5\u975e\u5e38\u76f8\u4f3c\uff0c\u5305\u542b\u76f8\u540c\u7684\u4e09\u4e2a\u9636\u6bb5\u3002\u533a\u522b\u5728\u4e8eBPD\u5c06\u53bb\u5468\u671f\u95ee\u9898\u89c6\u4e3a\u6700\u5c0fFVS\u7ed3\u6784\uff0c\u4e3a\u6b64\uff0cBPD\u63d0\u51fa\u4e86\u4e00\u79cd\u4fe1\u5ff5\u4f20\u64ad\u5f15\u5bfc\u7684\u62bd\u53d6\u7b97\u6cd5\u3002<\/span><\/span><\/p>\n

      \uff083\uff09Zdeborov\u00e1 L, Zhang P, Zhou H J. Fast and simple decycling and dismantling of networks[J]. Scientific reports, 2016, 6(1): 37954.<\/span><\/span><\/p>\n

      \u63d0\u51fa\u201c\u53bb\u73af+\u788e\u7247\u5316\u201d\u4e24\u9636\u6bb5\u74e6\u89e3\u6846\u67b6CoreHD\uff0c\u5bf9\u4e8e\u7a00\u758f\u7f51\u7edc\u5176\u590d\u6742\u5ea6\u4e3aO(N)\uff0c\u5176\u601d\u60f3\u662f\u901a\u8fc7\u8fed\u4ee3\u4ece2-\u6838\u4e2d\u79fb\u9664\u5ea6\u503c\u6700\u9ad8\u7684\u8282\u70b9\u6765\u5b9e\u73b0\u53bb\u73af\uff0c\u7136\u540e\u91c7\u7528\u4e0eMin-Sum\u7b97\u6cd5\u76f8\u540c\u7684\u6811\u7834\u574f\u548c\u91cd\u63d2\u7b97\u6cd5\u3002<\/span><\/span><\/p>\n

      \uff084\uff09Morone F, Min B, Bo L, et al. Collective influence algorithm to find influencers via optimal percolation in massively large social media[J]. Scientific reports, 2016, 6(1): 30062.<\/span><\/span><\/p>\n

      \u63d0\u51faCI\u7b97\u6cd5\uff0c\u901a\u8fc7\u6700\u4f18\u6e17\u900f\u7406\u8bba\u8bc6\u522b\u793e\u4ea4\u7f51\u7edc\u4e2d\u7684\u5173\u952e\u8282\u70b9\uff0c\u4ee5\u8fd1\u7ebf\u6027\u65f6\u95f4\u9ad8\u6548\u8fd1\u4f3c\u6700\u4f18\u89e3\uff0c\u9002\u7528\u4e8e\u5927\u89c4\u6a21\u7f51\u7edc\u5f71\u54cd\u529b\u5206\u6790\u3002<\/span><\/span><\/p>\n

      \uff085\uff09Ren X L, Gleinig N, Helbing D, et al. Generalized network dismantling[J]. Proceedings of the national academy of sciences, 2019, 116(14): 6554-6559.<\/span><\/span><\/p>\n

      \u63d0\u51fa\u4e86\u4e00\u79cd\u57fa\u4e8e\u8c31\u65b9\u6cd5\u7684GND\u7b97\u6cd5\uff0c\u7ed3\u5408\u8282\u70b9\u52a0\u6743\u62c9\u666e\u62c9\u65af\u7b97\u5b50\u548c\u8fd1\u4f3c\u7b97\u6cd5\uff0c\u89e3\u51b3\u975e\u5355\u4f4d\u6210\u672c\u4e0b\u7684\u7f51\u7edc\u74e6\u89e3\u95ee\u9898\u3002<\/span><\/span><\/p>\n

      \uff086\uff09Engsig M, Tejedor A, Moreno Y, et al. DomiRank Centrality reveals structural fragility of complex networks via node dominance[J]. Nature communications, 2024, 15(1): 56.<\/span><\/span><\/p>\n

      \u63d0\u51fa\u4e00\u79cd\u65b0\u7684\u4e2d\u5fc3\u6027\u5ea6\u91cf\u65b9\u6cd5DomiRank\uff0c\u7528\u4e8e\u91cf\u5316\u7f51\u7edc\u4e2d\u8282\u70b9\u7684\u652f\u914d\u6027\uff0c\u63ed\u793a\u590d\u6742\u7f51\u7edc\u7684\u7ed3\u6784\u8106\u5f31\u6027\u3002DomiRank\u901a\u8fc7\u6574\u5408\u5c40\u90e8\u548c\u5168\u5c40\u62d3\u6251\u4fe1\u606f\uff0c\u8bc4\u4f30\u8282\u70b9\u5728\u90bb\u57df\u4e2d\u7684\u91cd\u8981\u6027\uff0c\u5e76\u901a\u8fc7\u53ef\u8c03\u53c2\u6570\u03c3\u4f18\u5316\u653b\u51fb\u7b56\u7565\uff0c\u4ee5\u66f4\u6709\u6548\u5730\u7834\u574f\u7f51\u7edc\u7ed3\u6784\u3002<\/span><\/span><\/p>\n


      <\/span><\/strong><\/h3>\n

      \u4e3b\u9898\u4e8c\uff1a\u7279\u5b9a\u7ea6\u675f\u4e0b\u7684\u7f51\u7edc\u74e6\u89e3\u95ee\u9898<\/span><\/span><\/strong><\/h3>\n

      \u53d1\u8d77\u4eba\uff1a\u537f\u67ab<\/span><\/span><\/strong><\/h3>\n
      <\/section>\n

      \u4e3b\u9898\u4ecb\u7ecd\uff1a<\/span><\/span><\/strong><\/p>\n

      \u7f51\u7edc\u74e6\u89e3\u95ee\u9898\u957f\u671f\u4ee5\u6765\u88ab\u5b9a\u4e49\u4e3a\u5982\u4e0b\u7684\u4e00\u4e2a\u6570\u5b66\u95ee\u9898\uff0c\u5373\u79fb\u9664\u5c3d\u53ef\u80fd\u5c11\u7684\u8282\u70b9\u6216\u8fb9\u6765\u964d\u4f4e\u7f51\u7edc\u6700\u5927\u8fde\u901a\u7247\u5927\u5c0f\u5230\u4e00\u5b9a\u7684\u9608\u503c\u3002\u5b9e\u9645\u4e0a\uff0c\u6211\u4eec\u5728\u5236\u5b9a\u7f51\u7edc\u74e6\u89e3\u65b9\u6848\u65f6\u8981\u8003\u8651\u6210\u672c\u3001\u653b\u9632\u535a\u5f08\u6216\u8005\u5176\u4ed6\u7279\u5b9a\u7684\u7ea6\u675f\u6761\u4ef6\u3002\u4f8b\u5982\uff1a\u5b66\u8005\u4eec\u5728\u539f\u6709\u7684\u74e6\u89e3\u95ee\u9898\u4e2d\u8003\u8651\u4e86\u8282\u70b9\u4ee3\u4ef7\u7684\u5f02\u8d28\u6027\uff0c\u76ee\u6807\u8f6c\u4e3a\u5c3d\u53ef\u80fd\u5c11\u7684\u79fb\u9664\u8282\u70b9\u4ee3\u4ef7\uff1b\u5f15\u5165\u65f6\u95f4\u56e0\u7d20\u4e4b\u540e\uff0c\u4e00\u4e2a\u8282\u70b9\u5728\u4e0d\u540c\u7684\u65f6\u95f4\u5185\uff0c\u8282\u70b9\u7684\u91cd\u8981\u6027\u4e5f\u4f1a\u968f\u4e4b\u6539\u53d8\u3002\u8fd9\u4e9b\u73b0\u5b9e\u56e0\u7d20\u4f1a\u5bfc\u81f4\u7406\u8bba\u89e3\u4e0e\u5b9e\u9645\u5e94\u7528\u4e4b\u95f4\u5b58\u5728\u8f83\u5927\u7684\u5dee\u8ddd\u3002<\/span><\/span><\/p>\n

      \u6838\u5fc3\u5173\u6ce8\u95ee\u9898\uff1a<\/span><\/span><\/strong><\/p>\n

      \uff081\uff09 \u5728\u8282\u70b9\u4ee3\u4ef7\u5f02\u8d28\u6027\u6761\u4ef6\u4e0b\uff0c\u5982\u4f55\u8bbe\u8ba1\u6700\u5c0f\u5316\u603b\u6210\u672c\u7684\u9ad8\u6548\u74e6\u89e3\u7b97\u6cd5\uff1f<\/span><\/span><\/p>\n

      \uff082\uff09 \u653b\u9632\u535a\u5f08\u60c5\u5883\u4e2d\uff0c\u653b\u51fb\u8005\u4e0e\u9632\u5fa1\u8005\u7684\u6700\u4f18\u7b56\u7565\u5982\u4f55\u6f14\u5316\uff0c\u662f\u5426\u5b58\u5728\u5747\u8861\u89e3\uff1f<\/span><\/span><\/p>\n

      \uff083\uff09 \u5982\u4f55\u5728\u7279\u5b9a\u7684\u7ea6\u675f\u6761\u4ef6\u4e0b\u5efa\u7acb\u74e6\u89e3\u7684\u6570\u5b66\u6a21\u578b\uff1f<\/span><\/span><\/p>\n

      \u6838\u5fc3\u6587\u732e\uff1a<\/span><\/span><\/strong><\/p>\n

      \uff081\uff09Ren X L, Gleinig N, Helbing D, et al. Generalized network dismantling[J]. Proceedings of the national academy of sciences, 2019, 116(14): 6554-6559.<\/span><\/span><\/p>\n

      \u91cd\u65b0\u5efa\u6a21\u5e26\u6709\u8282\u70b9\u79fb\u9664\u4ee3\u4ef7\u7684\u7f51\u7edc\u74e6\u89e3\u95ee\u9898\uff0c\u5e76\u901a\u8fc7\u7406\u8bba\u63a8\u5bfc\u5c06\u539f\u59cb\u95ee\u9898\u7684\u89e3\u8f6c\u5316\u4e3a\u4e00\u4e2a\u8c31\u5206\u89e3\u7b97\u6cd5\uff0c\u6838\u5fc3\u601d\u60f3\u5229\u7528\u7f51\u7edc\u8282\u70b9\u7684\u7279\u5f81\u5411\u91cf\u8fdb\u884c\u805a\u7c7b\uff0c\u4e4b\u540e\u65ad\u5f00\u7c7b\u4e4b\u95f4\u7684\u8fde\u8fb9\u3002<\/span><\/span><\/p>\n

      \uff082\uff09Fan, C.; Zeng, L.; Sun, Y.; Liu, Y.-Y. Finding Key Players in Complex Networks through Deep Reinforcement Learning. Nat Mach Intell 2020, 2 (6), 317\u2013324.<\/span><\/span><\/p>\n

      \u63d0\u51fa\u4e86\u4e00\u4e2a\u5f3a\u5316\u5b66\u4e60\u6846\u67b6\uff0c\u5e76\u5728\u65e0\u6210\u672c\u3001\u5ea6\u4ee3\u4ef7\u548c\u968f\u673a\u4ee3\u4ef7\u4e0b\u5747\u53d6\u5f97\u975e\u5e38\u4f18\u5f02\u7684\u6548\u679c\u3002<\/span><\/span><\/p>\n

      \uff083\uff09Ya-Peng Li, Suo-Yi Tan, Ye Deng, Jun Wu; Attacker-defender game from a network science perspective. Chaos 1 May 2018; 28 (5): 051102.<\/span><\/span><\/p>\n

      \u5f15\u5165\u535a\u5f08\u8bba\u6846\u67b6\uff0c\u63d0\u51fa\u4e86\u4e00\u4e2a\u5177\u6709\u5b8c\u5168\u4fe1\u606f\u7684\u96f6\u548c\u9759\u6001\u535a\u5f08\uff0c\u5c40\u4e2d\u4eba\u88ab\u8003\u8651\u4f7f\u7528\u76ee\u6807\u653b\u51fb\u548c\u968f\u673a\u653b\u51fb\uff0c\u5e76\u5728\u4e0d\u540c\u6761\u4ef6\u4e0b\u7684\u8ba8\u8bba\u4e86\u7eb3\u4ec0\u5747\u8861\u3002<\/span><\/span><\/p>\n

      \uff084\uff09Wen Hu, Ye Deng, Yu Xiao, Jun Wu; Identifying influential nodes in social networks from the perspective of attack\u2013defense game. Chaos 1 November 2024; 34 (11): 111101.<\/span><\/span><\/p>\n

      \u8003\u8651\u8d44\u6e90\u7ea6\u675f\u7684\u96f6\u548c\u535a\u5f08\u6a21\u578b\uff0c\u6839\u636e\u535a\u5f08\u7684\u5747\u8861\u7ed3\u679c\uff0c\u91cd\u65b0\u5b9a\u4e49\u4e86\u8282\u70b9\u91cd\u8981\u6027\u7684\u6982\u5ff5\uff0c\u5e76\u63a2\u8ba8\u4e86\u8d44\u6e90\u5bf9\u535a\u5f08\u5747\u8861\u7684\u5f71\u54cd\u3002<\/span><\/span><\/p>\n


      <\/span><\/strong><\/span><\/h3>\n

      \u4e3b\u9898\u4e09\uff1a<\/span><\/span><\/strong>\u7a7a\u95f4\u7f51\u7edc\u7684\u74e6\u89e3<\/span><\/span><\/strong><\/span><\/h3>\n

      \u53d1\u8d77\u4eba\uff1a\u5434\u4fca<\/span><\/span><\/strong><\/p>\n

      <\/section>\n

      \u4e3b\u9898\u4ecb\u7ecd\uff1a<\/span><\/span><\/strong><\/p>\n

      \u7a7a\u95f4\u7f51\u7edc\u74e6\u89e3\u662f\u7f51\u7edc\u79d1\u5b66\u4e2d\u4e00\u4e2a\u65b0\u5174\u4e14\u5177\u6709\u91cd\u8981\u7406\u8bba\u4ef7\u503c\u4e0e\u5e94\u7528\u524d\u666f\u7684\u7814\u7a76\u65b9\u5411\uff0c\u81f4\u529b\u4e8e\u901a\u8fc7\u533a\u57df\u5316\u653b\u51fb\u7b56\u7565\uff0c\u9ad8\u6548\u7834\u574f\u5177\u6709\u5730\u7406\u7a7a\u95f4\u5d4c\u5165\u7279\u6027\u7684\u6709\u5bb3\u7f51\u7edc\uff08\u5982\u6050\u6016\u7ec4\u7ec7\u7f51\u7edc\u3001\u75ab\u60c5\u4f20\u64ad\u7f51\u7edc\u3001\u654c\u5bf9\u519b\u4e8b\u7f51\u7edc\u7b49\uff09\u3002\u4e0e\u4f20\u7edf\u7684\u57fa\u4e8e\u79bb\u6563\u8282\u70b9\u6216\u8fb9\u79fb\u9664\u7684\u74e6\u89e3\u65b9\u5f0f\u4e0d\u540c\uff0c\u7a7a\u95f4\u7f51\u7edc\u74e6\u89e3\u5f3a\u8c03\u5bf9\u5730\u7406\u533a\u57df\u5185\u6240\u6709\u8282\u70b9\u4e0e\u8fb9\u7684\u6574\u4f53\u79fb\u9664\uff08\u5373\u201c\u533a\u57df\u7834\u51fb\u201d\uff09\uff0c\u5176\u6838\u5fc3\u79d1\u5b66\u95ee\u9898\u5728\u4e8e\u5982\u4f55\u6df1\u5ea6\u878d\u5408\u7f51\u7edc\u62d3\u6251\u7ed3\u6784\u4e0e\u5730\u7406\u7a7a\u95f4\u4fe1\u606f\uff0c\u8bc6\u522b\u51fa\u6700\u5177\u7834\u574f\u529b\u7684\u5173\u952e\u533a\u57df\u3002\u672c\u671f\u8bfb\u4e66\u5c06\u7cfb\u7edf\u4ecb\u7ecd\u7a7a\u95f4\u7f51\u7edc\u74e6\u89e3\u7684\u57fa\u672c\u6982\u5ff5\u3001\u6570\u5b66\u6a21\u578b\u4e0e\u7b97\u6cd5\u6846\u67b6\u3002\u91cd\u70b9\u5185\u5bb9\u5305\u62ec\uff1a\u7a7a\u95f4\u7f51\u7edc\u533a\u57df\u4e2d\u5fc3\u6027\u3001\u9776\u5411\u679a\u4e3e\u7b56\u7565\u3001\u865a\u62df\u8282\u70b9\u6a21\u578b\u3001\u5f02\u8d28\u6210\u672c\u74e6\u89e3\u4ee5\u53ca\u57fa\u4e8e\u56fe\u795e\u7ecf\u7f51\u7edc\u7684\u7a7a\u95f4\u7f51\u7edc\u74e6\u89e3\u3002\u6211\u4eec\u5c06\u7ed3\u5408\u7f8e\u56fd\u822a\u7a7a\u7f51\u3001\u829d\u52a0\u54e5\u8def\u7f51\u7b49\u5b9e\u8bc1\u7f51\u7edc\uff0c\u5206\u6790\u4e0d\u540c\u533a\u57df\u7834\u51fb\u7b56\u7565\u5728\u4ea4\u901a\u7f51\u7edc\u3001\u901a\u4fe1\u7f51\u7edc\u3001\u793e\u4ea4\u7f51\u7edc\u7b49\u591a\u79cd\u7a7a\u95f4\u7f51\u7edc\u4e2d\u7684\u74e6\u89e3\u6548\u679c\u4e0e\u8ba1\u7b97\u6548\u7387\uff0c\u5e76\u6df1\u5165\u63a2\u8ba8\u8be5\u7406\u8bba\u5728\u53cd\u6050\u7ef4\u7a33\u3001\u4f20\u67d3\u75c5\u9632\u63a7\u3001\u519b\u4e8b\u5bf9\u6297\u7b49\u73b0\u5b9e\u573a\u666f\u4e2d\u7684\u5e94\u7528\u6f5c\u529b\u4e0e\u5c1a\u672a\u89e3\u51b3\u7684\u5173\u952e\u95ee\u9898\u3002<\/span><\/span><\/p>\n

      \u6838\u5fc3\u5173\u6ce8\u95ee\u9898\uff1a<\/span><\/span><\/strong><\/p>\n

      \uff081\uff09 \u5982\u4f55\u5728\u7edf\u4e00\u6846\u67b6\u4e0b\u540c\u65f6\u5efa\u6a21\u7f51\u7edc\u62d3\u6251\u4e0e\u5730\u7406\u7a7a\u95f4\u5c5e\u6027\uff0c\u4ee5\u6709\u6548\u8bc6\u522b\u6700\u4f18\u653b\u51fb\u533a\u57df\uff1f<\/span><\/span><\/p>\n

      \uff082\uff09 \u533a\u57df\u4e2d\u5fc3\u6027\u5e94\u5982\u4f55\u5b9a\u4e49\u4e0e\u8ba1\u7b97\uff0c\u624d\u80fd\u51c6\u786e\u8861\u91cf\u67d0\u4e00\u533a\u57df\u5728\u7f51\u7edc\u4e2d\u7684\u6218\u7565\u4ef7\u503c\uff1f<\/span><\/span><\/p>\n

      \uff083\uff09 \u9762\u5bf9\u9ad8\u7ef4\u5ea6\u7684\u533a\u57df\u7ec4\u5408\u89e3\u7a7a\u95f4\uff0c\u5982\u4f55\u901a\u8fc7\u964d\u7ef4\u6216\u542f\u53d1\u5f0f\u65b9\u6cd5\u63d0\u5347\u8ba1\u7b97\u6548\u7387\uff1f<\/span><\/span><\/p>\n

      \uff084\uff09 \u533a\u57df\u7834\u51fb\u7684\u74e6\u89e3\u6548\u679c\u4e0e\u5b9e\u65bd\u6210\u672c\u4e4b\u95f4\u5982\u4f55\u6743\u8861\uff0c\u662f\u5426\u5b58\u5728\u53ef\u63a8\u5e7f\u7684\u6700\u4f18\u6027\u51c6\u5219\uff1f<\/span><\/span><\/p>\n

      \u6838\u5fc3\u6587\u732e\uff1a<\/span><\/span><\/strong><\/p>\n

      \uff081\uff09Barth\u00e9lemy, M. (2011). Spatial networks. Physics reports, 499(1-3), 1-101.<\/span><\/span><\/p>\n

      \u6587\u7ae0\u7efc\u8ff0\u4e86\u7a7a\u95f4\u7f51\u7edc\u4e0a\u53d1\u751f\u7684\u5404\u79cd\u8fc7\u7a0b\uff0c\u4f8b\u5982\u76f8\u53d8\u3001\u968f\u673a\u6e38\u8d70\u3001\u540c\u6b65\u3001\u5bfc\u822a\u3001\u5f39\u6027\u548c\u75be\u75c5\u4f20\u64ad\u3002<\/span><\/span><\/p>\n

      \uff082\uff09Zhigang Wang, Ye Deng, Ze Wang, and Jun Wu. Disintegrating spatial networks based on region centrality[J]. Chaos, 2021, 31(6): 061101.<\/span><\/span><\/p>\n

      \u805a\u7126\u7a7a\u95f4\u7f51\u7edc\u74e6\u89e3\uff0c\u5b9a\u4e49\u4e86\u533a\u57df\u4e2d\u5fc3\u6027\uff0c\u901a\u8fc7\u591a\u74e6\u89e3\u5706\u6a21\u578b\u5b9e\u73b0\u9ad8\u6548\u7f51\u7edc\u788e\u7247\u5316\u3002<\/span><\/span><\/p>\n

      \uff083\uff09Zhigang Wang, Zhen Su, Ye Deng, J\u00fcrgen Kurths, and Jun Wu. Spatial network disintegration based on kernel density estimation[J]. Reliability Engineering & System Safety, 2024, 245: 110005.<\/span><\/span><\/p>\n

      \u9488\u5bf9\u7a7a\u95f4\u7f51\u7edc\u74e6\u89e3\uff0c\u6784\u5efa\u865a\u62df\u8282\u70b9\u6a21\u578b\u5e76\u7ed3\u5408\u6838\u5bc6\u5ea6\u4f30\u8ba1\u5b9a\u4f4d\u5173\u952e\u533a\u57df\u3002<\/span><\/span><\/p>\n

      \uff084\uff09Xiaoda Shen, Zhigang Wang, Ye Deng, and Jun Wu. Spatial network disintegration with heterogeneous cost[J]. Chaos, Solitons & Fractals, 2024, 187: 115414.<\/span><\/span><\/p>\n

      \u9488\u5bf9\u7a7a\u95f4\u7f51\u7edc\u5f02\u8d28\u6210\u672c\u74e6\u89e3\u95ee\u9898\uff0c\u6784\u5efa\u6210\u672c\u7ea6\u675f\u6a21\u578b\u5e76\u63d0\u51fa\u56db\u79cd\u7b56\u7565\uff0c\u9a8c\u8bc1\u4e86\u5e73\u5747\u5ea6\u548c\u53f6\u8282\u70b9\u7b56\u7565\u53ef\u63d0\u5347\u74e6\u89e3\u6548\u679c\u3002<\/span><\/span><\/p>\n

      \uff085\uff09Zijian Yan, Yongxiang Xia, Lijun Guo, Lingzhe Zhu, Yuanyuan Liang and Haicheng Tu. Identification of key recovering node for spatial networks[J]. Chinese Physics B, 2023, 32(6): 068901.<\/span><\/span><\/p>\n

      \u9488\u5bf9\u7a7a\u95f4\u7f51\u7edc\u53d7\u653b\u51fb\u8282\u70b9\u5931\u6548\u95ee\u9898\uff0c\u63d0\u51fa\u4e24\u79cd\u5173\u952e\u8282\u70b9\u6062\u590d\u65b9\u6cd5\u5e76\u9a8c\u8bc1\u5176\u6709\u6548\u6027\u3002<\/span><\/span><\/p>\n

      \uff086\uff09Chen Zhong, Stefan M\u00fcller Arisona, Xianfeng Huang, Michael Batty and Gerhard Schmitt. Detecting the dynamics of urban structure through spatial network analysis[J]. International Journal of Geographical Information Science, 2014, 28(11): 2178-2199.<\/span><\/span><\/p>\n

      \u4ee5\u65b0\u52a0\u5761\u4ea4\u901a\u5361\u6570\u636e\u4e3a\u57fa\u7840\uff0c\u7528\u7f51\u7edc\u79d1\u5b66\u65b9\u6cd5\u5206\u6790\u57ce\u5e02\u67a2\u7ebd\u3001\u4e2d\u5fc3\u4e0e\u8fb9\u754c\uff0c\u63ed\u793a\u5176\u5411\u591a\u4e2d\u5fc3\u5f62\u6001\u53d1\u5c55\u7684\u7a7a\u95f4\u7ed3\u6784\u53d8\u5316\u3002<\/span><\/span><\/p>\n

      \uff087\uff09Neumayer S J, Modiano E H. Network Reliability with Geographically Correlated Failures[C] INFOCOM, IEEE, 2010.<\/span><\/span><\/p>\n

      \u9488\u5bf9\u5149\u7ea4\u901a\u4fe1\u7f51\u7edc\u5728\u81ea\u7136\u707e\u5bb3\uff08\u5982\u5730\u9707\u3001\u98d3\u98ce\uff09\u6216\u7269\u7406\u653b\u51fb\uff08\u5982\u951a\u62d6\u65ad\u7f06\uff09\u4e0b\u7684\u8106\u5f31\u6027\uff0c\u63d0\u51fa\u4e86\u4e00\u79cd\u65b0\u7684\u5efa\u6a21\u65b9\u6cd5\u3002<\/span><\/span><\/p>\n


      <\/span><\/strong><\/span><\/h3>\n

      \u4e3b\u9898\u56db\uff1a\u9ad8\u9636\u7f51\u7edc\u7684\u74e6\u89e3<\/span><\/span><\/strong><\/h3>\n

      \u53d1\u8d77\u4eba\uff1a\u8303\u5929\u9f99<\/span><\/span><\/strong><\/p>\n

      <\/section>\n

      \u4e3b\u9898\u4ecb\u7ecd\uff1a<\/span><\/span><\/strong><\/p>\n

      \u9ad8\u9636\u7f51\u7edc\u74e6\u89e3\uff08Higher-order Network Dismantling, HON-Dismantling\uff09\u662f\u8fd1\u5e74\u6765\u590d\u6742\u7f51\u7edc\u7814\u7a76\u4e2d\u7684\u524d\u6cbf\u4e3b\u9898\u4e4b\u4e00\u3002\u4e0e\u4f20\u7edf\u7684\u7f51\u7edc\u74e6\u89e3\u4ec5\u5173\u6ce8\u70b9\u6216\u8fb9\u7684\u5220\u9664\u4e0d\u540c\uff0c\u9ad8\u9636\u74e6\u89e3\u5f3a\u8c03\u4ece\u7fa4\u4f53\u7ed3\u6784\u4e0e\u9ad8\u9636\u76f8\u4e92\u4f5c\u7528\u7684\u89d2\u5ea6\u7814\u7a76\u7f51\u7edc\u7684\u8106\u5f31\u6027\u4e0e\u5931\u6548\u673a\u5236\u3002\u5176\u6838\u5fc3\u89c2\u70b9\u662f\uff1a\u8bb8\u591a\u771f\u5b9e\u7cfb\u7edf\u4e2d\u7684\u529f\u80fd\u5e76\u975e\u4ec5\u4f9d\u8d56\u4e8e\u5355\u4e2a\u8282\u70b9\u6216\u8fb9\uff0c\u800c\u662f\u7531\u56e2\uff08cliques\uff09\u3001\u5708\uff08cycles\uff09\u3001k-core \u4ee5\u53ca\u5176\u4ed6\u9ad8\u9636\u7ed3\u6784\u7ef4\u7cfb\u3002\u9ad8\u9636\u74e6\u89e3\u56e0\u6b64\u5173\u6ce8\u5982\u4f55\u5728\u6700\u5c0f\u5316\u4ee3\u4ef7\u7684\u524d\u63d0\u4e0b\uff0c\u4f18\u5148\u7834\u574f\u8fd9\u4e9b\u5173\u952e\u9ad8\u9636\u5b50\u7ed3\u6784\uff0c\u4ece\u800c\u9ad8\u6548\u5730\u524a\u5f31\u7f51\u7edc\u7684\u529f\u80fd\u6216\u9ad8\u9636\u8fde\u901a\u6027\uff08\u5f53\u7136\u4e5f\u5305\u62ec\u6700\u5927\u8fde\u901a\u5206\u652fGCC\uff09\u3002\u76f8\u5173\u7814\u7a76\u63d0\u51fa\u4e86\u591a\u79cd\u5f62\u5f0f\u5316\u6846\u67b6\uff0c\u5982\u5c06\u95ee\u9898\u5efa\u6a21\u4e3a\u6700\u4f18\u5316\u95ee\u9898\uff08\u6700\u5c0f\u4ee3\u4ef7\u2013\u6700\u5927\u5931\u6548\uff09\uff0c\u4ee5\u53ca\u901a\u8fc7\u9ad8\u9636\u7ed3\u6784\u4e0ek-core\u3001\u96c6\u4f53\u6e17\u6d41\u7b49\u7406\u8bba\u4e4b\u95f4\u7684\u7cbe\u786e\u6620\u5c04\uff0c\u53d1\u5c55\u51fa\u53ef\u8ba1\u7b97\u548c\u53ef\u9a8c\u8bc1\u7684\u6570\u5b66\u5de5\u5177\u3002\u672c\u4e13\u9898\u5c06\u805a\u7126\u9ad8\u9636\u74e6\u89e3\u7684\u57fa\u672c\u6982\u5ff5\u3001\u6838\u5fc3\u65b9\u6cd5\u4e0e\u5178\u578b\u6210\u679c\uff0c\u5e76\u63a2\u8ba8\u5176\u5728\u7f51\u7edc\u653b\u51fb\u3001\u9632\u5fa1\u3001\u4f20\u64ad\u63a7\u5236\u4e0e\u5173\u952e\u57fa\u7840\u8bbe\u65bd\u5b89\u5168\u4e2d\u7684\u6f5c\u5728\u5e94\u7528\u3002<\/span><\/span><\/p>\n

      \u6838\u5fc3\u5173\u6ce8\u95ee\u9898\uff1a<\/span><\/span><\/strong><\/p>\n

      \uff081\uff09 \u5982\u4f55\u5728\u6709\u9650\u4ee3\u4ef7\uff08\u5982\u5220\u9664\u7684\u8fb9\u6570\/\u8282\u70b9\u6570\/\u6210\u672c\u7ea6\u675f\uff09\u4e0b\uff0c\u5b9e\u73b0\u5bf9\u9ad8\u9636\u7ed3\u6784\u7684\u4f18\u5148\u74e6\u89e3\uff1f<\/span><\/span><\/p>\n

      \uff082\uff09 \u9ad8\u9636\u7ed3\u6784\uff08\u5982\u56e2\u3001\u5708\u3001k-core\uff09\u4e0e\u7f51\u7edc\u8fde\u901a\u6027\u3001\u6e17\u6d41\u4e34\u754c\u70b9\u4e4b\u95f4\u7684\u5173\u7cfb\u662f\u4ec0\u4e48\uff1f<\/span><\/span><\/p>\n

      \uff083\uff09 \u4e0d\u540c\u9ad8\u9636\u7ed3\u6784\u7684\u4f18\u5148\u7ea7\u5982\u4f55\u786e\u5b9a\uff1f\u662f\u5426\u5b58\u5728\u7edf\u4e00\u7684\u4f18\u5316\u76ee\u6807\u51fd\u6570\uff1f<\/span><\/span><\/p>\n

      \uff084\uff09 \u9ad8\u9636\u74e6\u89e3\u4e0e\u4f20\u7edf\u70b9\/\u8fb9\u74e6\u89e3\u76f8\u6bd4\uff0c\u5728\u6548\u7387\u3001\u9002\u7528\u6027\u548c\u9c81\u68d2\u6027\u4e0a\u6709\u4f55\u5dee\u5f02\uff1f<\/span><\/span><\/p>\n

      \u6838\u5fc3\u6587\u732e\uff1a<\/span><\/span><\/strong><\/p>\n

      \uff081\uff09Peng, P., Fan, T., Ren, X. L., & L\u00fc,  L. (2023). Unveiling explosive vulnerability of networks through edge      collective behavior. arXiv preprint arXiv:2310.06407.<\/span><\/span><\/p>\n

      \u8be5\u6587\u63d0\u51fa\u8fb9\u96c6\u4f53\u5f71\u54cd\u529b\uff08ECI\uff09\u65b9\u6cd5\uff0c\u5e76\u7ed3\u5408\u6539\u8fdb\u7b97\u6cd5\uff08IECI\/IECR\uff09\u4e0e\u53cc\u91cd\u7ade\u4e89\u6e17\u6d41\u6a21\u578b\uff08DCP\/IDCP\uff09\uff0c\u7edf\u4e00\u4e86\u6700\u4f18\u4e0e\u7206\u70b8\u6e17\u6d41\u89c6\u89d2\uff0c\u7cfb\u7edf\u63ed\u793a\u4e86\u7f51\u7edc\u5728\u8fb9\u5c42\u9762\u4ea7\u751f\u7206\u70b8\u8106\u5f31\u6027\u7684\u673a\u5236\u3002<\/span><\/span><\/p>\n

      \uff082\uff09Zhou, H. J. (2022). Cycle-tree guided attack of random K-core: Spin glass model and efficient message-passing algorithm. Science China Physics, Mechanics & Astronomy, 65(3), 230511.<\/span><\/span><\/p>\n

      \u8be5\u6587\u63d0\u51fa\u5faa\u73af\u6811\u5f15\u5bfc\u653b\u51fb\uff08CTGA\uff09\u6a21\u578b\u4e0e\u7b97\u6cd5\uff0c\u5c06K-core\u74e6\u89e3\u8f6c\u5316\u4e3a\u9759\u6001\u7ed3\u6784\u5206\u6790\uff0c\u663e\u8457\u4f18\u4e8e\u8d2a\u5fc3\u7b97\u6cd5\uff0c\u5e76\u4e3a\u4e0d\u53ef\u9006\u52a8\u529b\u5b66\u4f18\u5316\u95ee\u9898\u63d0\u4f9b\u4e86\u666e\u9002\u601d\u8def\u3002<\/span><\/span><\/p>\n

      \uff083\uff09Zdeborov\u00e1, L., Zhang, P., & Zhou, H. J. (2016). Fast and simple decycling and dismantling of networks. Scientific reports, 6(1), 37954.<\/span><\/span><\/p>\n

      \u8be5\u6587\u63d0\u51fa CoreHD \u7b97\u6cd5\uff0c\u5728\u7f51\u7edc 2-core \u4e2d\u8fed\u4ee3\u5220\u9664\u6700\u9ad8\u5ea6\u8282\u70b9\u5373\u53ef\u9ad8\u6548\u5b9e\u73b0\u89e3\u73af\u4e0e\u62c6\u89e3\uff0c\u6027\u80fd\u63a5\u8fd1\u6d88\u606f\u4f20\u9012\u65b9\u6cd5\u4f46\u8ba1\u7b97\u4ee3\u4ef7\u6781\u4f4e\uff0c\u6210\u4e3a\u5927\u89c4\u6a21\u7f51\u7edc\u74e6\u89e3\u7684\u5b9e\u7528\u57fa\u51c6\u3002<\/span><\/span><\/p>\n

      \uff084\uff09Zhou, J., & Zhou, H. J. (2023). Hierarchical cycle-tree packing model for optimal k-core attack. Journal of Statistical Physics, 190(12), 200.<\/span><\/span><\/p>\n

      \u8be5\u6587\u63d0\u51fa\u5206\u5c42\u5faa\u73af\u6811\u6253\u5305\u6a21\u578b\uff08hCTP\uff09\u53ca\u7b97\u6cd5\uff08hCTGA\uff09\uff0c\u5c06K-core\u4fee\u526a\u52a8\u529b\u5b66\u8f6c\u5316\u4e3a\u9759\u6001\u7ed3\u6784\u5206\u6790\uff0c\u663e\u8457\u4f18\u4e8e\u73b0\u6709\u65b9\u6cd5\uff0c\u5e76\u4e3a\u4e0d\u53ef\u9006\u52a8\u529b\u5b66\u7684\u6700\u4f18\u653b\u51fb\u95ee\u9898\u63d0\u4f9b\u4e86\u666e\u9002\u6c42\u89e3\u6846\u67b6\u3002<\/span><\/span><\/p>\n

      \uff085\uff09Peng, P., Fan, T., & L\u00fc, L. (2024). Network higher-order structure dismantling. Entropy, 26(3), 248.<\/span><\/span><\/p>\n

      \u8be5\u6587\u63d0\u51fa\u7f51\u7edc\u9ad8\u9636\u7ed3\u6784\u74e6\u89e3\uff08NHSD\uff09\u6846\u67b6\u4e0e\u76f8\u5e94\u7684\u57fa\u4e8e\u4fe1\u5ff5\u4f20\u64ad\u7b97\u6cd5\uff08BPHD\u7684\u9ad8\u9636\u74e6\u89e3\u65b9\u6cd5\uff09\uff0c\u7edf\u4e00\u591a\u7c7b\u9ad8\u9636\u7ed3\u6784\u81f3k-core \u8868\u5f81\uff0c\u5e76\u63ed\u793a\u9ad8\u9636\u7ed3\u6784\u5148\u4e8e\u4f4e\u9636\u7ed3\u6784\u5d29\u6e83\u7684\u7206\u70b8\u8106\u5f31\u6027\uff0c\u4e3a\u590d\u6742\u7cfb\u7edf\u5b89\u5168\u4e0e\u653b\u9632\u63d0\u4f9b\u65b0\u5de5\u5177\u3002<\/span><\/span><\/p>\n

      \uff086\uff09Morone, F., & Makse, H. A. (2015). Influence maximization in complex networks through optimal percolation. <\/span><\/span>Nature<\/span><\/span><\/em>, 524(7563), 65\u201368.<\/span><\/span><\/span><\/p>\n

      \u63d0\u51fa\u96c6\u4f53\u5f71\u54cd\u529b\uff08Collective Influence, CI\uff09\u65b9\u6cd5\uff0c\u5f00\u542f\u4e86\u6700\u4f18\u7f51\u7edc\u74e6\u89e3\u7814\u7a76\u7684\u5148\u6cb3\u3002<\/span><\/span><\/p>\n

      \uff087\uff09Braunstein, A., Dall\u2019Asta, L., Semerjian, G., & Zdeborov\u00e1, L. (2016). Network dismantling. Proceedings of the National Academy of Sciences, 113(44), 12368-12373.<\/span><\/span><\/p>\n

      \u7cfb\u7edf\u63d0\u51fa\u7f51\u7edc\u74e6\u89e3\u95ee\u9898\u7684\u5f62\u5f0f\u5316\u5b9a\u4e49\u4e0e\u57fa\u51c6\u65b9\u6cd5\u3002<\/span><\/span><\/p>\n

      \uff088\uff09Wang, W., Li, W., Lin, T., Wu, T., Pan, L., & Liu, Y.      (2022). Generalized k-core percolation on higher-order dependent networks.      Applied Mathematics and Computation, 420, 126793.<\/span><\/span><\/p>\n

      \u8be5\u6587\u63d0\u51fa\u5e7f\u4e49 k-core \u6e17\u6d41\u6a21\u578b\uff0c\u5c06\u5c42\u5185\u4e0e\u5c42\u95f4\u9ad8\u9636\u4f9d\u8d56\u7eb3\u5165\u7edf\u4e00\u6846\u67b6\uff0c\u63ed\u793a\u5e73\u5747\u5ea6\u3001\u4f9d\u8d56\u7ed3\u6784\u4e0e\u5ea6\u5f02\u8d28\u6027\u5bf9\u7cfb\u7edf\u9c81\u68d2\u6027\u548c\u76f8\u53d8\u7c7b\u578b\u7684\u51b3\u5b9a\u4f5c\u7528\u3002<\/span><\/span><\/p>\n

      \uff089\uff09Yuan, X., Dai, Y., Stanley, H. E., & Havlin, S. (2016). k-core percolation on complex networks: Comparing random, localized, and targeted attacks. Physical Review E, 93(6), 062302.<\/span><\/span><\/p>\n

      \u8be5\u6587\u7cfb\u7edf\u6bd4\u8f83\u968f\u673a\u3001\u5c40\u90e8\u4e0e\u9488\u5bf9\u6027\u653b\u51fb\u4e0b\u7684 k-core \u6e17\u6d41\uff0c\u63ed\u793a\u4e0d\u540c\u653b\u51fb\u6a21\u5f0f\u5bf9 ER \u4e0e SF \u7f51\u7edc\u9c81\u68d2\u6027\u7684\u5dee\u5f02\uff0c\u4e3a\u540e\u7eed\u6700\u4f18\u548c\u9ad8\u9636\u74e6\u89e3\u7814\u7a76\u63d0\u4f9b\u4e86\u57fa\u51c6\u53c2\u7167\u3002<\/span><\/span><\/p>\n

      \uff0810\uff09Peng, H., Zhao, Y., Zhao, D., Zhong, M., Hu, Z., Han, J., … & Wang, W. (2023). Robustness of higher-order interdependent networks. Chaos, Solitons & Fractals, 171, 113485.<\/span><\/span><\/p>\n

      \u8be5\u6587\u5efa\u7acb\u542b\u5355\u7eaf\u590d\u5f62\u7684\u53cc\u5c42\u90e8\u5206\u4f9d\u8d56\u7f51\u7edc\u6a21\u578b\uff0c\u63ed\u793a\u9ad8\u9636\u7ed3\u6784\u5bc6\u5ea6\u4e0e\u5c42\u95f4\u4f9d\u8d56\u5f3a\u5ea6\u5bf9\u9c81\u68d2\u6027\u548c\u53cc\u91cd\u76f8\u53d8\u7684\u51b3\u5b9a\u4f5c\u7528\u3002<\/span><\/span><\/p>\n

      \uff0811\uff09Angulo, M. T., Liu, Y. Y., & Slotine, J. J. (2015). Network motifs emerge from interconnections that favour stability. Nature Physics, 11(10), 848-852.<\/span><\/span><\/p>\n

      \u867d\u7136\u8be5\u6587\u4e0d\u76f4\u63a5\u7814\u7a76\u74e6\u89e3\u7b97\u6cd5\u6216\u9ad8\u9636\u74e6\u89e3\uff0c\u4f46\u5b83\u57fa\u4e8e\u6536\u7f29\u7406\u8bba\u4ece\u7ed3\u6784\u7a33\u5b9a\u6027\u4e0e\u529f\u80fd\u6f14\u5316\u89d2\u5ea6\u63ed\u793a\u4e86\u7f51\u7edc motif \u7684\u4ea7\u751f\u673a\u5236\uff0c\u4e3a\u7406\u89e3\u201c\u4e3a\u4ec0\u4e48\u9ad8\u9636\u7ed3\u6784\u91cd\u8981\u3001\u4ee5\u53ca\u4e3a\u4f55\u5e94\u4f18\u5148\u62c6\u89e3\u8fd9\u4e9b\u7ed3\u6784\u201d\u63d0\u4f9b\u4e86\u91cd\u8981\u7684\u7406\u8bba\u80cc\u666f<\/span><\/span><\/p>\n

      \uff0812\uff09Chen, Q., Zhao, Y., Li, C., & Li, X. (2023). Robustness of higher-order networks with synergistic protection. New Journal of Physics, 25(11), 113045.<\/span><\/span><\/p>\n

      \u8be5\u6587\u63d0\u51fa\u201c\u534f\u540c\u9632\u62a4\u201d\u6982\u5ff5\uff0c\u5efa\u7acb\u5355\u7eaf\u590d\u5f62\u4e0a\u7684\u6269\u5c55\u6e17\u6d41\u6a21\u578b\uff0c\u63ed\u793a\u9ad8\u9636\u7ed3\u6784\u53ef\u663e\u8457\u63d0\u5347\u9c81\u68d2\u6027\u5e76\u6539\u53d8\u805a\u7c7b\u4e0e\u9c81\u68d2\u6027\u7684\u5173\u7cfb\u3002<\/span><\/span><\/p>\n

      \uff0813\uff09Cohen, R., & Havlin, S. (2010). Complex networks: structure, robustness and function. Cambridge university press.<\/span><\/span><\/p>\n

      \u53c2\u8003\u4e66\uff0c\u4e13\u7ae0\u8ba8\u8bba\u7f51\u7edc\u7a33\u5065\u6027\u4e0e\u74e6\u89e3\u95ee\u9898\u3002<\/span><\/span><\/p>\n


      <\/span><\/strong><\/h3>\n

      \u4e3b\u9898\u4e94\uff1a\u65f6\u5e8f\u7f51\u7edc\u7684\u74e6\u89e3<\/span><\/span><\/strong><\/h3>\n

      \u53d1\u8d77\u4eba\uff1a\u8c2d\u7d22\u6021<\/span><\/span><\/strong><\/p>\n

      <\/section>\n

      \u4e3b\u9898\u4ecb\u7ecd\uff1a<\/span><\/span><\/strong><\/p>\n

      \u6211\u4eec\u5e38\u5728\u201c\u9759\u6001\u7f51\u7edc\u201d\u4e2d\u8c08\u74e6\u89e3\uff1a\u901a\u8fc7\u79fb\u9664\u5173\u952e\u8282\u70b9\u6216\u8fb9\uff0c\u4ece\u800c\u8ba9\u8c23\u8a00\u4f20\u64ad\u3001\u75be\u75c5\u6269\u6563\u7b49\u6f5c\u5728\u6709\u5bb3\u7cfb\u7edf\u5931\u53bb\u529f\u80fd\u3002\u7136\u800c\uff0c\u5728\u8bb8\u591a\u73b0\u5b9e\u573a\u666f\u4e2d\uff0c\u7f51\u7edc\u7ed3\u6784\u5e76\u975e\u4e00\u6210\u4e0d\u53d8\uff1a\u4eba\u4eec\u4e0d\u4f1a\u4e00\u751f\u53ea\u4e0e\u56fa\u5b9a\u7684\u5c11\u6570\u670b\u53cb\u4e92\u52a8\uff0c\u800c\u662f\u5728\u4e0d\u540c\u65f6\u523b\u4e0e\u4e0d\u540c\u4e2a\u4f53\u53d1\u751f\u8054\u7cfb\uff1b\u60a3\u8005\u4e5f\u4e0d\u4f1a\u59cb\u7ec8\u5904\u4e8e\u60a3\u75c5\u72b6\u6001\uff0c\u800c\u662f\u5728\u4e0d\u540c\u9636\u6bb5\u5eb7\u590d\u6216\u518d\u6b21\u611f\u67d3\u3002\u6b63\u56e0\u5982\u6b64\uff0c\u65f6\u5e8f\u7f51\u7edc\u7684\u74e6\u89e3\u4e0d\u4ec5\u8981\u8003\u8651\u6700\u5927\u8fde\u901a\u5206\u91cf\uff0c\u66f4\u9700\u5173\u6ce8\u65f6\u95f4\u53ef\u8fbe\u6027\uff08Temporal reachability\uff0c\u5373\u5728\u9650\u5b9a\u65f6\u95f4\u5185\u8282\u70b9\u95f4\u662f\u5426\u53ef\u8fbe\uff09\u548c\u65f6\u5e8f\u5de8\u5206\u91cf\uff08Temporal giant component\uff0c\u6307\u5728\u9075\u5faa\u65f6\u95f4\u987a\u5e8f\u6761\u4ef6\u4e0b\u4ecd\u4fdd\u6301\u4e92\u76f8\u8fde\u901a\u7684\u6700\u5927\u8282\u70b9\u96c6\u5408\uff09\u7b49\u80fd\u591f\u53cd\u6620\u7f51\u7edc\u529f\u80fd\u7684\u6307\u6807\u3002\u7531\u6b64\uff0c\u65f6\u5e8f\u7f51\u7edc\u7684\u74e6\u89e3\u95ee\u9898\u4e5f\u4ece\u201c\u79fb\u9664\u4ec0\u4e48\u201d\u8f6c\u5411\u4e3a\u201c\u4e3a\u4ec0\u4e48\u79fb\u9664\u3001\u4f55\u65f6\u79fb\u9664\u3001\u79fb\u9664\u8c01\u201d\u3002\u672c\u671f\u8bfb\u4e66\u4f1a\u5c06\u4ece\u65f6\u5e8f\u7f51\u7edc\u7684\u529f\u80fd\u6027\u51fa\u53d1\uff0c\u4ecb\u7ecd\u6709\u9650\u7b49\u5f85\u65f6\u95f4\u53ef\u8fbe\u6027\u4e0e\u5b9a\u5411\u6e17\u6d41\u76f8\u53d8\u4e4b\u95f4\u7684\u5bf9\u5e94\u5173\u7cfb\uff0c\u4ee5\u53ca\u5728\u6d3b\u52a8\u9a71\u52a8\u65f6\u5e8f\u7f51\u7edc\u4e2d\u968f\u673a\u653b\u51fb\u4e0e\u5b9a\u5411\u653b\u51fb\u7684\u5bf9\u6bd4\u7814\u7a76\uff0c\u5e76\u8fdb\u4e00\u6b65\u8ba8\u8bba\u5728\u8282\u70b9\u548c\u8fb9\u5747\u4e0d\u56fa\u5b9a\u7684\u201c\u65c5\u884c\u7f51\u7edc\u201d\u74e6\u89e3\u6240\u9762\u4e34\u7684\u65b0\u6311\u6218\u3002<\/span><\/span><\/p>\n

      \u6838\u5fc3\u5173\u6ce8\u95ee\u9898\uff1a<\/span><\/span><\/strong><\/p>\n

      \uff081\uff09 \u65f6\u5e8f\u7f51\u7edc\u4e2d\u7684\u201c\u65f6\u95f4\u53ef\u8fbe\u6027\u201d\u4e0e\u201c\u65f6\u5e8f\u5de8\u5206\u91cf\u201d\u5982\u4f55\u5b9a\u4e49\uff0c\u5b83\u4eec\u5728\u74e6\u89e3\u7814\u7a76\u4e2d\u8d77\u5230\u4ec0\u4e48\u6838\u5fc3\u4f5c\u7528\uff1f<\/span><\/span><\/p>\n

      \uff082\uff09 \u5728\u6709\u9650\u7b49\u5f85\u65f6\u95f4\u7ea6\u675f\u4e0b\uff0c\u65f6\u5e8f\u7f51\u7edc\u7684\u6e17\u6d41\u4e34\u754c\u70b9\u5982\u4f55\u53d8\u5316\uff0c\u4e0e\u4f20\u7edf\u9759\u6001\u7f51\u7edc\u6709\u4f55\u5dee\u5f02\uff1f<\/span><\/span><\/p>\n

      \uff083\uff09 \u5728\u6d3b\u52a8\u9a71\u52a8\u6a21\u578b\u6216\u65c5\u884c\u7f51\u7edc\u4e2d\uff0c\u8282\u70b9\u548c\u8fb9\u7684\u52a8\u6001\u6027\u5982\u4f55\u5f71\u54cd\u74e6\u89e3\u7b56\u7565\u7684\u8bbe\u8ba1\u4e0e\u8bc4\u4f30\uff1f<\/span><\/span><\/p>\n

      \uff084\uff09 \u65f6\u5e8f\u7f51\u7edc\u7684\u74e6\u89e3\u80fd\u5426\u5f62\u6210\u7edf\u4e00\u7684\u7406\u8bba\u6846\u67b6\uff0c\u4ee5\u540c\u65f6\u89e3\u91ca\u201c\u79fb\u9664\u4ec0\u4e48\u3001\u4f55\u65f6\u79fb\u9664\u3001\u4e3a\u4ec0\u4e48\u79fb\u9664\u201d\u7684\u95ee\u9898\uff1f<\/span><\/span><\/p>\n

      <\/span><\/section>\n

      \u6838\u5fc3\u6587\u732e\uff1a<\/span><\/span><\/strong><\/p>\n

      \uff081\uff09Badie-Modiri, Arash, et al. “Directed percolation in temporal networks.” <\/span><\/span>Physical Review Research<\/span><\/span><\/em> 4.2 (2022): L022047.<\/span><\/span><\/span><\/p>\n

      \u8be5\u8bba\u6587\u5c06\u65f6\u5e8f\u7f51\u7edc\u4e2d\u57fa\u4e8e\u65f6\u95f4\u5c0a\u91cd\u8def\u5f84\u7684\u53ef\u8fbe\u6027\u5f62\u5f0f\u5316\u6620\u5c04\u4e3a\u5b9a\u5411\u6e17\u6d41\u95ee\u9898\uff0c\u5e76\u8bc1\u660e\u5728\u6709\u9650\u7b49\u5f85\u65f6\u95f4\u7ea6\u675f\u4e0b\uff0c\u65f6\u5e8f\u7f51\u7edc\u4f1a\u51fa\u73b0\u5b9a\u5411\u6e17\u6d41\u76f8\u53d8\u3002<\/span><\/span><\/p>\n

      \uff082\uff09Zhao, Dandan, et al. “Targeting attack activity-driven networks.” <\/span><\/span>Chaos: An Interdisciplinary Journal of Nonlinear Science<\/span><\/span><\/em> 34.10 (2024).<\/span><\/span><\/span><\/p>\n

      \u8be5\u8bba\u6587\u5728\u6d3b\u52a8\u9a71\u52a8\u65f6\u5e8f\u7f51\u7edc\u6a21\u578b\u4e0a\uff0c\u89e3\u6790\u4e86\u6700\u5927\u8fde\u901a\u7247\u548c\u65f6\u5e8f\u6e17\u6d41\u9608\u503c\u5728\u968f\u673a\u653b\u51fb\u4e0e\u5b9a\u5411\u653b\u51fb\u4e0b\u7684\u5dee\u5f02\uff0c\u63ed\u793a\u4e86\u9009\u62e9\u6027\u5220\u9664\u9ad8\u6d3b\u8dc3\u8282\u70b9\u5bf9\u7f51\u7edc\u9c81\u68d2\u6027\u7684\u663e\u8457\u5f71\u54cd\u3002<\/span><\/span><\/p>\n

      \uff083\uff09Cira, Nate J., et al. “Structure, motion, and multiscale search of traveling networks.” <\/span><\/span>Nature Communications<\/span><\/span><\/em> 16.1 (2025): 1922.<\/span><\/span><\/span><\/p>\n

      \u8be5\u8bba\u6587\u63d0\u51fa\u4e86\u201c\u65c5\u884c\u7f51\u7edc\u201d\u6982\u5ff5\uff0c\u4ee5\u53f6\u7aef\u7684\u968f\u673a\u751f\u957f\u2013\u5206\u53c9\u2013\u56de\u7f29\u6811\u72b6\u6a21\u578b\u4e3a\u6838\u5fc3\uff0c\u63ed\u793a\u5176\u7ed3\u6784\u4e0e\u8fd0\u52a8\u7279\u5f81\u5982\u4f55\u652f\u6301\u8de8\u5c3a\u5ea6\u7684\u9ad8\u6548\u641c\u7d22\u4e0e\u73af\u5883\u54cd\u5e94\u3002<\/span><\/span><\/p>\n

      \u63a8\u8350\u9605\u8bfb\uff1a<\/span><\/span><\/p>\n

      \uff081\uff09Trajanovski, Stojan, S. Scellato, and I. Leontiadis. “Error and attack vulnerability of temporal networks.” <\/span><\/span>Physical Review E\u2014Statistical, Nonlinear, and Soft Matter Physics<\/span><\/span><\/em> 85.6 (2012): 066105.<\/span><\/span><\/span><\/p>\n

      \uff082\uff09Kivel\u00e4, Mikko, et al. “Mapping temporal-network percolation to weighted, static event graphs.” <\/span><\/span>Scientific reports<\/span><\/span><\/em> 8.1 (2018): 12357.<\/span><\/span><\/span><\/p>\n

      \uff083\uff09Badie-Modiri, Arash, et al. “Directed percolation in random temporal network models with heterogeneities.” <\/span><\/span>Physical Review E<\/span><\/span><\/em> 105.5 (2022): 054313.<\/span><\/span><\/span><\/p>\n


      <\/span><\/span><\/p>\n

      \u4e3b\u9898\u516d<\/span><\/span><\/strong>\uff1a<\/span><\/span><\/strong>\u591a\u5c42\u5f02\u8d28\u7f51\u7edc\u7684\u74e6\u89e3<\/span><\/span><\/strong><\/span><\/h3>\n

      \u53d1\u8d77<\/span><\/span><\/strong>\u4eba\uff1a<\/span><\/span><\/strong>\u8c37\u4f1f\u4f1f<\/span><\/span><\/strong><\/span><\/p>\n

      <\/section>\n

      \u4e3b\u9898\u4ecb\u7ecd\uff1a<\/span><\/span><\/strong><\/p>\n

      \u8fd1\u5e74\u6765\uff0c\u4eba\u5de5\u667a\u80fd\u80cc\u666f\u4e0b\u7684\u56fe\u7ec4\u5408\u4f18\u5316\uff0c\u5c24\u5176\u662f\u7f51\u7edc\u74e6\u89e3\uff08network dismantling\uff09\u9886\u57df\uff0c\u53d6\u5f97\u4e86\u7a81\u7834\u6027\u8fdb\u5c55\u3002\u5176\u6838\u5fc3\u601d\u60f3\u662f\u901a\u8fc7\u4f18\u5316\u7b97\u6cd5\u8bc6\u522b\u5e76\u79fb\u9664\u5173\u952e\u8282\u70b9\u6216\u8fb9\uff0c\u4ee5\u5b9e\u73b0\u7f51\u7edc\u529f\u80fd\u7684\u5feb\u901f\u5d29\u6e83\u3002\u5728\u5177\u4f53\u65b9\u6cd5\u4e0a\uff0c\u4e00\u65b9\u9762\u6d8c\u73b0\u51fa\u7cbe\u5ea6\u66f4\u9ad8\u7684\u74e6\u89e3\u7b97\u6cd5\uff0c\u5982\u9488\u5bf9\u5355\u5c42\u7f51\u7edc\u7684 <\/span><\/span>FINDER<\/span><\/span><\/strong> \u4e0e\u9002\u7528\u4e8e\u591a\u5c42\u7f51\u7edc\u7684 <\/span><\/span>MultiDismantler<\/span><\/span><\/strong>\uff1b\u53e6\u4e00\u65b9\u9762\u4e5f\u53d1\u5c55\u51fa\u7f51\u7edc\u62d3\u6251\u589e\u5f3a\u7b56\u7565\uff0c\u5373\u901a\u8fc7\u4e3b\u52a8\u4fee\u6539\u7f51\u7edc\u7ed3\u6784\u63d0\u5347\u5176\u6297\u6bc1\u6027\u3002\u5728\u7814\u7a76\u89c6\u89d2\u4e0a\uff0c\u591a\u5c42\u7f51\u7edc\u74e6\u89e3\u4e0e\u7ea7\u8054\u5931\u6548\u88ab\u89c6\u4e3a\u7f51\u7edc\u97e7\u6027\u7814\u7a76\u7684\u6838\u5fc3\u8bae\u9898\u3002\u9664\u7b97\u6cd5\u672c\u8eab\u5916\uff0c\u7edf\u8ba1\u7269\u7406\u5b66\u5bb6\u8fd8\u57fa\u4e8e\u74e6\u89e3\u8fc7\u7a0b\u63a2\u7d22\u4e86\u97e7\u6027\u7f51\u7edc\u7684\u5173\u952e\u7279\u5f81\uff0c\u4f8b\u5982\u591a\u5c42\u7f51\u7edc\u5c42\u95f4\u76f8\u4f3c\u6027\u5bf9\u97e7\u6027\u7684\u5f71\u54cd\u4ee5\u53ca\u57fa\u4e8e\u8868\u5f81\u5b66\u4e60\u7684\u5c42\u95f4\u76f8\u4f3c\u6027\u5ea6\u91cf\u7b97\u6cd5\uff0c\u5e76\u636e\u6b64\u63d0\u51fa\u4e86\u5bf9\u7f51\u7edc\u97e7\u6027\u66f4\u7cbe\u786e\u7684\u9884\u6d4b\u6846\u67b6\u3002<\/span><\/span><\/span><\/p>\n

      \u6838\u5fc3\u5173\u6ce8\u95ee\u9898\uff1a<\/span><\/span><\/strong><\/p>\n

      \uff081\uff09 \u5982\u4f55\u5c06\u8868\u5f81\u5b66\u4e60\u4e0e\u5f3a\u5316\u5b66\u4e60\u6709\u6548\u7ed3\u5408\uff0c\u7528\u4e8e\u6307\u5bfc\u7f51\u7edc\u74e6\u89e3\u7684\u51b3\u7b56\u8fc7\u7a0b\uff1f<\/span><\/span><\/section>\n
      \uff082\uff09 \u57fa\u4e8e\u673a\u5668\u5b66\u4e60\uff08\u4e3b\u8981\u662f\u5f3a\u5316\u5b66\u4e60\uff09\u8fd9\u7c7b\u7684\u74e6\u89e3\u7b97\u6cd5\uff0c\u76f8\u6bd4\u8f83\u4f20\u7edf\u7684\u7b97\u6cd5\u5728\u7cbe\u5ea6\u7b49\u65b9\u9762\u6709\u54ea\u4e9b\u4f18\u52bf\u548c\u52a3\u52bf\uff1f<\/span><\/span><\/section>\n
      \uff083\uff09 \u5728\u591a\u5c42\u7f51\u7edc\u73af\u5883\u4e0b\uff0c\u5c42\u95f4\u76f8\u4f3c\u6027\u5982\u4f55\u5ea6\u91cf\uff0c\u5e76\u5982\u4f55\u5f71\u54cd\u7f51\u7edc\u7684\u74e6\u89e3\u4e0e\u97e7\u6027\uff1f<\/span><\/span><\/section>\n
      \uff084\uff09 \u4eba\u5de5\u667a\u80fd\u65b9\u6cd5\u80fd\u5426\u4e3a\u7f51\u7edc\u97e7\u6027\u7684\u9884\u6d4b\u548c\u589e\u5f3a\u63d0\u4f9b\u7edf\u4e00\u7684\u7406\u8bba\u4e0e\u5b9e\u8df5\u6846\u67b6\uff1f<\/span><\/span><\/section>\n
      \u6838\u5fc3\u6587\u732e\uff1a<\/span><\/span><\/section>\n
        \n
      1. \n

        \u7f51\u7edc\u74e6\u89e3\u7b97\u6cd5\u6a21\u5757\uff1a<\/span><\/span><\/p>\n<\/li>\n<\/ol>\n

        \u5355\u5c42\u7f51\u7edc\u74e6\u89e3\u7b97\u6cd5\uff1a<\/span><\/span><\/p>\n

        \uff081\uff09Fan, C.; Zeng, L.; Sun, Y.; Liu, Y.-Y. Finding Key Players in Complex Networks through Deep Reinforcement Learning. <\/span><\/span>Nat Mach Intell<\/span><\/span><\/em>2020<\/span><\/span><\/strong>, <\/span><\/span>2<\/span><\/span><\/em> (6), 317\u2013324. https:\/\/doi.org\/10.1038\/s42256-020-0177-2.<\/span><\/span><\/span><\/p>\n

        \u56fd\u9632\u79d1\u6280\u5927\u5b66\u8303\u957f\u4fca\u8001\u5e0820\u5e74\u53d1\u8868\u5728Nature Machine Intelligence\u4e0a\u91c7\u7528\u5f3a\u5316\u5b66\u4e60\u52a0\u8868\u5f81\u5b66\u4e60\u89e3\u51b3\u7f51\u7edc\u74e6\u89e3\u7684\u8bba\u6587\uff0c\u5f00\u5c71\u9f3b\u7956\u3002\u8fd9\u7bc7\u8bba\u6587\u63d0\u51fa\u4e86\u4e00\u79cd\u540d\u4e3a <\/span><\/span>FINDER<\/span><\/span><\/strong> \u7684\u6df1\u5ea6\u5f3a\u5316\u5b66\u4e60\u6846\u67b6\uff0c\u8be5\u6a21\u578b\u5728\u5c0f\u89c4\u6a21 synthetic \u7f51\u7edc\u4e0a\u8bad\u7ec3\u540e\uff0c\u80fd\u591f\u9ad8\u6548\u8bc6\u522b\u590d\u6742\u7f51\u7edc\u4e2d\u7684\u5173\u952e\u8282\u70b9\u4ee5\u5b9e\u73b0\u7f51\u7edc\u74e6\u89e3\u3002\u5b9e\u9a8c\u8bc1\u660e\uff0cFINDER \u5728\u8bc6\u522b\u6548\u679c\u548c\u8ba1\u7b97\u901f\u5ea6\u4e0a\u5747\u663e\u8457\u4f18\u4e8e\u73b0\u6709\u542f\u53d1\u5f0f\u65b9\u6cd5\uff0c\u4e14\u63a8\u5e7f\u6027\u5f3a\u3001\u6cdb\u5316\u6027\u80fd\u4f18\u79c0\u3002<\/span><\/span><\/span><\/p>\n

        \uff082\uff09Zhang, J.; Wang, B. Dismantling Complex Networks by a Neural Model Trained from Tiny Networks. In <\/span><\/span>Proceedings of the 31st ACM International Conference on Information & Knowledge Management<\/span><\/span><\/em>; ACM: Atlanta GA USA, 2022; pp 2559\u20132568. https:\/\/doi.org\/10.1145\/3511808.3557290.<\/span><\/span><\/span><\/p>\n

        \u63d0\u51fa\u4e86\u4e00\u79cd\u540d\u4e3a NIRM\uff08Neural Influence Ranking Model\uff09\u7684\u795e\u7ecf\u7f51\u7edc\u6a21\u578b\uff0c\u8be5\u6a21\u578b\u4ec5\u5728\u5c0f\u578b\u5408\u6210\u7f51\u7edc\u4e0a\u8bad\u7ec3\uff0c\u5373\u53ef\u6210\u529f\u63a8\u5e7f\u81f3\u771f\u5b9e\u590d\u6742\u7f51\u7edc\uff0c\u8bc6\u522b\u51fa\u5173\u952e\u8282\u70b9\uff0c\u4ece\u800c\u4ee5\u66f4\u5c11\u8282\u70b9\u5f15\u53d1\u7f51\u7edc\u5d29\u6e83\uff0c\u76f8\u8f83\u4e8e\u6700\u5148\u8fdb\u542f\u53d1\u5f0f\u65b9\u6cd5\u66f4\u9ad8\u6548\u3002NIRM \u64c5\u4e8e\u7ed3\u5408\u5c40\u90e8\u7ed3\u6784\u548c\u5168\u5c40\u62d3\u6251\u4fe1\u606f\uff0c\u5e76\u521b\u65b0\u6027\u5730\u901a\u8fc7\u8bad\u7ec3\u96c6\u4e2d\u201c\u6807\u7b7e\u4f20\u64ad\u201d\u673a\u5236\u8bbe\u8ba1\u8bad\u7ec3\u6807\u7b7e\uff0c\u4ece\u800c\u5b9e\u73b0\u5f3a\u5927\u7684\u6cdb\u5316\u4e0e\u6027\u80fd\u3002<\/span><\/span><\/p>\n

        \uff083\uff09Grassia, M.; De Domenico, M.; Mangioni, G. Machine Learning Dismantling and Early-Warning Signals of Disintegration in Complex Systems. <\/span><\/span>Nat Commun<\/span><\/span><\/em>2021<\/span><\/span><\/strong>, <\/span><\/span>12<\/span><\/span><\/em> (1), 5190. https:\/\/doi.org\/10.1038\/s41467-021-25485-8.<\/span><\/span><\/span><\/p>\n

        \u63d0\u51fa\u4e86\u4e00\u79cd\u57fa\u4e8e\u56fe\u795e\u7ecf\u7f51\u7edc\uff08GDM\uff09\u7684\u673a\u5668\u5b66\u4e60\u65b9\u6cd5\uff0c\u80fd\u591f\u9ad8\u6548\u8bc6\u522b\u590d\u6742\u7f51\u7edc\u4e2d\u7684\u5173\u952e\u8282\u70b9\uff0c\u5b9e\u73b0\u5feb\u901f\u62c6\u89e3\u7f51\u7edc\u3002\u540c\u65f6\u5f15\u5165\u65e9\u671f\u9884\u8b66\u4fe1\u53f7\uff0c\u53ef\u63d0\u524d\u9884\u8b66\u7cfb\u7edf\u5d29\u6e83\u98ce\u9669\uff0c\u4e3a\u653f\u7b56\u5236\u5b9a\u548c\u5e94\u6025\u7ba1\u7406\u63d0\u4f9b\u91cf\u5316\u5de5\u5177\u3002<\/span><\/span><\/p>\n

        \uff084\uff09Osat, S.; Papadopoulos, F.; Teixeira, A. S.; Radicchi, F. Embedding-Aided Network Dismantling. <\/span><\/span>Phys. Rev. Research<\/span><\/span><\/em>2023<\/span><\/span><\/strong>, <\/span><\/span>5<\/span><\/span><\/em> (1), 013076. https:\/\/doi.org\/10.1103\/PhysRevResearch.5.013076.<\/span><\/span><\/span><\/p>\n

        \u63d0\u51fa\u4e00\u79cd\u57fa\u4e8e\u7f51\u7edc\u51e0\u4f55\u5d4c\u5165\u7684\u9ad8\u6548\u62c6\u89e3\u65b9\u6cd5\uff0c\u901a\u8fc7\u5728\u6b27\u51e0\u91cc\u5f97\u6216\u53cc\u66f2\u7a7a\u95f4\u4e2d\u5bf9\u7f51\u7edc\u8fdb\u884c\u6620\u5c04\uff0c\u5229\u7528\u76f4\u89c2\u7684\u51e0\u4f55\u5206\u5272\u7b56\u7565\u6765\u8bc6\u522b\u6700\u5c0f\u4ee3\u4ef7\u7684\u8282\u70b9\u6216\u8fb9\u79fb\u9664\u65b9\u6848\uff0c\u4ece\u800c\u5b9e\u73b0\u5bf9\u7f51\u7edc\u8fde\u901a\u6027\u7684\u6700\u4f18\u7834\u574f\u3002\u5728\u771f\u5b9e\u4e0e\u5408\u6210\u7f51\u7edc\u4e0a\u7684\u7cfb\u7edf\u5b9e\u9a8c\u8868\u660e\uff0c\u8be5\u5d4c\u5165\u8f85\u52a9\u7684\u62c6\u89e3\u7b97\u6cd5\u5728\u6027\u80fd\u4e0a\u4e0e\u73b0\u6709\u6700\u4f73\u65b9\u6cd5\u76f8\u5f53\u751a\u81f3\u66f4\u4f18\uff0c\u5c24\u5176\u5728\u7f51\u7edc\u7ed3\u6784\u4e0e\u5176\u51e0\u4f55\u5d4c\u5165\u9ad8\u5ea6\u76f8\u5173\u65f6\u4f18\u52bf\u663e\u8457\u3002<\/span><\/span><\/p>\n

        \u591a\u5c42\u7f51\u7edc\u74e6\u89e3\u7b97\u6cd5\uff1a<\/span><\/span><\/p>\n

        \uff081\uff09Buldyrev, S. V.; Parshani, R.; Paul, G.; Stanley, H. E.; Havlin, S. Catastrophic Cascade of Failures in Interdependent Networks. <\/span><\/span>Nature<\/span><\/span><\/em>2010<\/span><\/span><\/strong>, <\/span><\/span>464<\/span><\/span><\/em> (7291), 1025\u20131028. https:\/\/doi.org\/10.1038\/nature08932.<\/span><\/span><\/span><\/p>\n

        \u9996\u6b21\u63d0\u51fa\u5e76\u89e3\u6790\u6c42\u89e3\u4e86\u76f8\u4e92\u4f9d\u8d56\u7f51\u7edc\u5728\u7ea7\u8054\u6545\u969c\u4e0b\u7684\u9c81\u68d2\u6027\u6846\u67b6\uff0c\u53d1\u73b0\u201c\u66f4\u5bbd\u7684\u5ea6\u5206\u5e03\u53cd\u800c\u4f7f\u7cfb\u7edf\u66f4\u8106\u5f31\u201d\uff0c\u4e0e\u5355\u7f51\u7edc\u884c\u4e3a\u76f8\u53cd\u3002\u5229\u75282003\u5e74\u610f\u5927\u5229\u5927\u505c\u7535\u771f\u5b9e\u6570\u636e\u9a8c\u8bc1\uff0c\u4ec5\u79fb\u9664\u6781\u5c0f\u90e8\u5206\u8282\u70b9\u5373\u53ef\u5f15\u53d1\u8de8\u7cfb\u7edf\u96ea\u5d29\u5f0f\u5d29\u6e83\uff0c\u51f8\u663e\u5728\u8bbe\u8ba1\u5173\u952e\u57fa\u7840\u8bbe\u65bd\u65f6\u5fc5\u987b\u8003\u8651\u7f51\u7edc\u95f4\u8026\u5408\u6548\u5e94\u3002<\/span><\/span><\/p>\n

        \uff082\uff09Gu, W.; Yang, C.; Li, L.; Hou, J.; Radicchi, F. Deep-Learning-Aided Dismantling of Interdependent Networks. <\/span><\/span>Nat Mach Intell<\/span><\/span><\/em>2025<\/span><\/span><\/strong>. https:\/\/doi.org\/10.1038\/s42256-025-01070-2.<\/span><\/span><\/span><\/p>\n

        \u63d0\u51fa\u4e86\u4e00\u79cd\u540d\u4e3aMultiDismantler\u7684\u6df1\u5ea6\u5b66\u4e60\u8f85\u52a9\u7b97\u6cd5\uff0c\u7528\u4e8e\u89e3\u51b3\u591a\u5c42\u4e92\u4f9d\u7f51\u7edc\u7684\u62c6\u89e3\u95ee\u9898\u3002\u8be5\u7b97\u6cd5\u7ed3\u5408\u4e86\u591a\u5c42\u7f51\u7edc\u8868\u793a\u5b66\u4e60\u548c\u6df1\u5ea6\u5f3a\u5316\u5b66\u4e60\uff0c\u901a\u8fc7\u5728\u5c0f\u89c4\u6a21\u5408\u6210\u56fe\u4e0a\u8bad\u7ec3\uff0c\u80fd\u591f\u5728\u5927\u89c4\u6a21\u771f\u5b9e\u6216\u5408\u6210\u7f51\u7edc\u4e0a\u5b9e\u73b0\u5353\u8d8a\u7684\u62c6\u89e3\u6027\u80fd\uff0c\u663e\u8457\u4f18\u4e8e\u73b0\u6709\u57fa\u51c6\u7b97\u6cd5\uff0c\u5e76\u5728\u75be\u75c5\u4f20\u64ad\u63a7\u5236\u548c\u7ea7\u8054\u6545\u969c\u5ef6\u8fdf\u7b49\u5b9e\u9645\u5e94\u7528\u4e2d\u5c55\u73b0\u51fa\u5de8\u5927\u6f5c\u529b\u3002\u91cc\u9762\u5305\u542b\u76ee\u524d\u5df2\u77e5\u7684\u6240\u6709\u591a\u5c42\u7f51\u7edc\u5bf9\u6bd4\u7b97\u6cd5\u3002<\/span><\/span><\/p>\n

        Deep-learning-aided dismantling of interdependent networks<\/span><\/span><\/p>\n

          \n
        1. \n

          \u7f51\u7edc\u74e6\u89e3\u5e94\u7528\u6a21\u5757\uff1a<\/span><\/span><\/p>\n<\/li>\n<\/ol>\n

          \uff081\uff09Kleineberg, K.-K.; Buzna, L.; Papadopoulos, F.; Bogu\u00f1\u00e1, M.; Serrano, M. \u00c1. Geometric Correlations Mitigate the Extreme Vulnerability of Multiplex Networks against Targeted Attacks. arXiv February 8, 2017. https:\/\/doi.org\/10.48550\/arXiv.1702.02246.<\/span><\/span><\/p>\n

          \u672c\u5de5\u4f5c\u63ed\u793a\u4e86\u590d\u6742\u7f51\u7edc\u6781\u7aef\u8106\u5f31\u6027\u7684\u51e0\u4f55\u8d77\u6e90\uff0c\u5e76\u901a\u8fc7\u7406\u8bba\u4e0e\u6570\u503c\u9a8c\u8bc1\u8868\u660e\u51e0\u4f55\u76f8\u5173\u6027\u80fd\u591f\u5728\u4fdd\u6301\u9ad8\u6548\u7387\u7684\u540c\u65f6\u663e\u8457\u63d0\u5347\u7f51\u7edc\u7684\u9c81\u68d2\u6027\u3002<\/span><\/span><\/p>\n

          \uff082\uff09Nan, H.; Wang, S.; Ouyang, C.; Zhou, Y.; Gu, W. Assessing the Robustness and Reducibility of Multiplex Networks with Embedding-Aided Interlayer Similarities. <\/span><\/span>Phys. Rev. E<\/span><\/span><\/em>2025<\/span><\/span><\/strong>, <\/span><\/span>111<\/span><\/span><\/em> (5), 054315. https:\/\/doi.org\/10.1103\/PhysRevE.111.054315.<\/span><\/span><\/span><\/p>\n

          \u63d0\u51fa\u4e86\u4e00\u79cd\u540d\u4e3a <\/span><\/span>EATSim<\/span><\/span><\/strong> \u7684\u65b0\u578b\u8de8\u5c42\u76f8\u4f3c\u6027\u5ea6\u91cf\u65b9\u6cd5\uff0c\u878d\u5408\u4e86\u5c42\u5185\u7ed3\u6784\u76f8\u4f3c\u6027\u4e0e\u8de8\u5c42\u951a\u70b9\u8282\u70b9\u5bf9\u9f50\u4e00\u81f4\u6027\uff0c\u4ece\u800c\u66f4\u5168\u9762\u5730\u6355\u6349\u5230\u591a\u5c42\u7f51\u7edc\u4e2d\u9690\u542b\u7684\u51e0\u4f55\u76f8\u4f3c\u6027\u3002\u8be5\u65b9\u6cd5\u5728\u5408\u6210\u548c\u771f\u5b9e\u7f51\u7edc\u4e0a\u5e7f\u6cdb\u5b9e\u9a8c\u8bc1\u660e\uff0c\u4e0d\u4ec5\u663e\u8457\u63d0\u5347\u4e86\u8de8\u5c42\u76f8\u4f3c\u6027\u6d4b\u5ea6\u7684\u51c6\u786e\u6027\uff0c\u4e5f\u5728\u7f51\u7edc\u9c81\u68d2\u6027\u4e0e\u7f51\u7edc\u53ef\u7b80\u5316\u6027\u9884\u6d4b\u4e24\u4e2a\u4e0b\u6e38\u4efb\u52a1\u4e0a\u8fbe\u5230\u4e86\u5f53\u524d\u6700\u4f18\u8868\u73b0\u3002<\/span><\/span><\/span><\/p>\n

          \uff083\uff09Hu, Q.; Li, R.; Deng, Q.; Zhao, Y.; Li, R. Enhancing Network by Reinforcement Learning and Neural Confined Local Search. In <\/span><\/span>Proceedings of the Thirty-Second International Joint Conference on Artificial Intelligence<\/span><\/span><\/em>; International Joint Conferences on Artificial Intelligence Organization: Macau, SAR China, 2023; pp 2122\u20132132. https:\/\/doi.org\/10.24963\/ijcai.2023\/236.<\/span><\/span><\/span><\/p>\n

          \u63d0\u51fa\u4e86\u4e00\u79cd\u901a\u8fc7\u5f3a\u5316\u5b66\u4e60\u548c\u795e\u7ecf\u5c40\u90e8\u641c\u7d22\u76f8\u7ed3\u5408\u7684\u65b9\u6cd5\u6765\u589e\u5f3a\u7f51\u7edc\u9c81\u68d2\u6027\u7684\u6a21\u578b\u3002\u8be5\u6a21\u578b\u901a\u8fc7\u5f15\u5165\u9886\u57df\u77e5\u8bc6\u548c\u5c42\u6b21\u5316\u6ce8\u610f\u529b\u673a\u5236\uff0c\u6709\u6548\u63d0\u9ad8\u4e86\u7f51\u7edc\u5728\u9762\u5bf9\u653b\u51fb\u65f6\u7684\u9c81\u68d2\u6027\uff0c\u5e76\u5728\u5408\u6210\u548c\u771f\u5b9e\u7f51\u7edc\u4e0a\u9a8c\u8bc1\u4e86\u5176\u4f18\u8d8a\u6027\u80fd\u3002<\/span><\/span><\/p>\n

          <\/section>\n


          <\/span><\/p>\n

          <\/span><\/section>\n
          \u63a8\u8350\u9605\u8bfb<\/span><\/span><\/section>\n
          \u63a2\u7d22\u590d\u6742\u7cfb\u7edf\u9ad8\u9636\u4ea4\u4e92\u7684\u5965\u79d8 | \u9ad8\u9636\u7f51\u7edc\u8bfb\u4e66\u4f1a\u542f\u52a8<\/a><\/span><\/section>\n
          \u4e0e\u7f51\u7edc\u79d1\u5b66\u5bb6\u4e00\u8d77\uff0c\u201c\u96c6\u667a\u201d\u5b66\u4e60\u300a\u5df4\u62c9\u5df4\u897f\u7f51\u7edc\u79d1\u5b66\u300b<\/a><\/span><\/section>\n
          2021\u91cd\u78c5\u65b0\u8bfe\uff1a\u63a2\u7d22\u7f51\u7edc\u52a8\u529b\u5b66\u2014\u2014\u7f51\u7edc\u79d1\u5b66\u7b2c\u4e8c\u671f<\/a><\/span><\/section>\n
          \u4ece\u6570\u5b66\u5efa\u6a21\u5230\u591a\u5b66\u79d1\u5e94\u7528\u2014\u2014\u7f51\u7edc\u79d1\u5b66\u00b7\u96c6\u667a\u8bfe\u5802\u5168\u65b0\u5347\u7ea7<\/a><\/span><\/section>\n
          \u7cfb\u7edf\u79d1\u5b66\u524d\u6cbf\u5341\u8bb2\uff1a\u7406\u89e3\u81ea\u7136\u3001\u751f\u547d\u4e0e\u793e\u4f1a\u7684\u590d\u6742\u6027<\/a><\/span><\/section>\n

          <\/span><\/section>\n
          \u70b9\u51fb\u201c\u9605\u8bfb\u539f\u6587\u201d\uff0c\u62a5\u540d\u8bfb\u4e66\u4f1a<\/span><\/span><\/section>\n<\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

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