{"id":58577,"date":"2025-04-15T20:11:59","date_gmt":"2025-04-15T12:11:59","guid":{"rendered":"https:\/\/swarma.org\/?p=58577"},"modified":"2025-04-15T20:11:59","modified_gmt":"2025-04-15T12:11:59","slug":"%e5%8a%a8%e5%8a%9b%e7%b3%bb%e7%bb%9f%e4%b8%b4%e7%95%8c%e8%bd%ac%e5%8f%98%e7%9a%84%e6%97%a9%e6%9c%9f%e9%a2%84%e8%ad%a6%e4%b8%8e%e8%b0%83%e6%8e%a7%e6%96%b9%e6%b3%95%e4%b8%a8%e5%91%a8%e5%85%ad%e7%9b%b4","status":"publish","type":"post","link":"https:\/\/swarma.org\/?p=58577","title":{"rendered":"\u52a8\u529b\u7cfb\u7edf\u4e34\u754c\u8f6c\u53d8\u7684\u65e9\u671f\u9884\u8b66\u4e0e\u8c03\u63a7\u65b9\u6cd5\u4e28\u5468\u516d\u76f4\u64ad\u00b7\u590d\u6742\u7f51\u7edc\u52a8\u529b\u5b66\u8bfb\u4e66\u4f1a\u7b2c\u4e94\u671f"},"content":{"rendered":"
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2025\u5e74\u4e16\u754c\u6c14\u8c61\u65e5\u4e3b\u9898\u201c\u643a\u624b\u7f29\u5c0f\u65e9\u671f\u9884\u8b66\u5dee\u8ddd\u201d\u76f4\u51fb\u5168\u7403\u6c14\u5019\u6cbb\u7406\u7684\u6838\u5fc3\u6311\u6218\u2014\u2014\u4ece\u6781\u7aef\u5929\u6c14\u5230\u751f\u6001\u7a81\u53d8\uff0c\u6211\u4eec\u6b63\u5728\u76f4\u89c6\u590d\u6742\u7cfb\u7edf\u7684\u4e34\u754c\u8f6c\u53d8\u5bf9\u4eba\u7c7b\u751f\u5b58\u7684\u5a01\u80c1\u3002\u4f20\u7edf\u9884\u8b66\u65b9\u6cd5\u4f9d\u8d56\u4e8e\u4e34\u754c\u6162\u5316\u7b49\u7269\u7406\u6307\u6807\uff0c\u4f46\u5728\u9ad8\u7ef4\u5f02\u8d28\u7f51\u7edc\u4e2d\u5e38\u56e0\u7075\u654f\u5ea6\u4e0d\u8db3\u6216\u666e\u9002\u6027\u53d7\u9650\u800c\u5931\u6548\uff1b\u800c\u7cfb\u7edf\u5d29\u6e83\u540e\u7684\u6062\u590d\u66f4\u56e0\u6ede\u540e\u6548\u5e94\u9677\u5165\u201c\u4e0d\u53ef\u9006\u9677\u9631\u201d\uff0c\u4f20\u7edf\u8c03\u63a7\u7b56\u7565\u96be\u4ee5\u7a81\u7834\u7a33\u6001\u5207\u6362\u7684\u80fd\u5792\u3002\u672c\u6b21\u5206\u4eab\u805a\u7126\u4e24\u5927\u6838\u5fc3\u547d\u9898\uff1a\u5982\u4f55\u5229\u7528\u6570\u636e\u9a71\u52a8\u65b9\u6cd5\u7a81\u7834\u4e34\u754c\u70b9\u9884\u6d4b\u7684\u74f6\u9888\uff1f\u5982\u4f55\u8bbe\u8ba1\u667a\u80fd\u8c03\u63a7\u7b56\u7565\u5f15\u5bfc\u7cfb\u7edf\u56de\u5f52\u7406\u60f3\u7a33\u6001\uff1f<\/span><\/span><\/span><\/span><\/strong><\/p>\n


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\u300c\u590d\u6742\u7f51\u7edc\u52a8\u529b\u5b66\u300d\u8bfb\u4e66\u4f1a<\/a><\/span><\/strong>\u7b2c\u516d\u671f\u7531\u540c\u6d4e\u5927\u5b66\u7269\u7406\u7cfb\u535a\u58eb\u751f\u5218\u5b50\u5609\u3001\u4e0a\u6d77\u81ea\u4e3b\u667a\u80fd\u65e0\u4eba\u7cfb\u7edf\u79d1\u5b66\u4e2d\u5fc3\u535a\u58eb\u751f\u79e6\u4f73\u6770\u5206\u522b\u5206\u4eab\u7b2c\u4e00\u90e8\u5206\u201c\u57fa\u4e8e\u8282\u70b9\u72b6\u6001\u65f6\u95f4\u5e8f\u5217\u7684\u65e9\u671f\u4e34\u754c\u70b9\u8bc6\u522b\u4e0e\u9884\u8b66\u201d\uff0c\u9610\u91ca\u4e34\u754c\u70b9\u9884\u6d4b\u7684\u65b9\u6cd5\u8bba\uff0c\u7279\u522b\u662f\u6570\u636e\u9a71\u52a8\u7684\u524d\u6cbf\u7a81\u7834\u65b9\u6cd5\uff1b\u4e0e\u7b2c\u4e8c\u90e8\u5206\u201c\u8c03\u63a7\u7cfb\u7edf\u4f7f\u5176\u5728\u671f\u671b\u7684\u7a33\u6001\u201d\uff0c\u4ecb\u7ecd\u4e24\u6b65\u6062\u590d\u65b9\u6848\u5982\u4f55\u5e72\u9884\u7cfb\u7edf\u4f7f\u5176\u6062\u590d\u529f\u80fd\u3002\u672c\u6b21\u5206\u4eab\u5c06\u5171\u540c\u63a2\u7d22\u9884\u6d4b\u4e0e\u5e72\u9884\u590d\u6742\u7cfb\u7edf\u7a81\u53d8\u7684\u5168\u65b0\u65b9\u6cd5\u8bba\u4f53\u7cfb\u3002\u8bfb\u4e66\u4f1a\u5c06\u4e8e4\u670819\u65e5\uff08\u672c\u5468\u516d\uff099:30-11:30\u8fdb\u884c\uff0c\u6b22\u8fce\u611f\u5174\u8da3\u7684\u670b\u53cb\u53c2\u4e0e\u8ba8\u8bba\u4ea4\u6d41\uff01<\/span><\/span><\/span><\/strong><\/span><\/strong><\/span><\/span><\/strong><\/p>\n

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Part 1 \u57fa\u4e8e\u8282\u70b9\u72b6\u6001\u65f6\u95f4\u5e8f\u5217\u7684\u65e9\u671f\u4e34\u754c\u70b9\u8bc6\u522b\u4e0e\u9884\u8b66<\/span><\/span><\/h3>\n

\u8bb8\u591a\u81ea\u7136\u548c\u4eba\u4e3a\u7684\u590d\u6742\u7cfb\u7edf\u90fd\u4f1a\u51fa\u73b0\u4e34\u754c\u8f6c\u53d8\uff0c\u5373\u73af\u5883\u6761\u4ef6\u7684\u7f13\u6162\u53d8\u5316\u5f15\u53d1\u7cfb\u7edf\u7684\u7a81\u53d8\u3002\u8fd9\u79cd\u7a81\u53d8\u53ef\u80fd\u5e26\u6765\u707e\u96be\u6027\u540e\u679c\uff0c\u4f8b\u5982\u7cfb\u7edf\u6027\u91d1\u878d\u98ce\u9669\u3001\u5927\u9762\u79ef\u505c\u7535\u3001\u751f\u6001\u7cfb\u7edf\u5d29\u6e83\u7b49\u3002\u56e0\u6b64\uff0c\u5728\u7cfb\u7edf\u53d1\u751f\u7a81\u53d8\u4e4b\u524d\u5bf9\u4e34\u754c\u70b9\u8fdb\u884c\u5b9a\u91cf\u9884\u6d4b\u81f3\u5173\u91cd\u8981\u3002<\/span><\/span><\/p>\n

\u672c\u6b21\u5206\u4eab\u5c06\u9996\u5148\u4ecb\u7ecd\u4e34\u754c\u70b9\u9644\u8fd1\u8282\u70b9\u72b6\u6001\u6f14\u5316\u7684\u7279\u5f81\u4ee5\u53ca\u5229\u7528\u8fd9\u4e9b\u7279\u5f81\u548c\u6307\u6807\u8fdb\u884c\u5206\u6790\u7684\u4f20\u7edf\u65b9\u6cd5\uff0c\u63a5\u7740\u5c06\u91cd\u70b9\u4ecb\u7ecd\u9002\u7528\u6027\u66f4\u5e7f\u4e14\u9884\u6d4b\u6548\u679c\u66f4\u597d\u7684\u73b0\u4ee3\u673a\u5668\u5b66\u4e60\u65b9\u6cd5\uff1a\u5305\u62ec\u5229\u7528CNN\u3001LSTM\u7684\u5206\u7c7b\u6a21\u578b\uff0c\u5bf9\u7cfb\u7edf\u8fdb\u884c\u5b9a\u91cf\u6a21\u62df\u7684\u50a8\u85cf\u6c60\u6a21\u578b\u4ee5\u53caGRU\u3001GNN\u795e\u7ecf\u7f51\u7edc\u76f8\u7ed3\u5408\u7684\u65e9\u671f\u9884\u8b66\u6a21\u578b\u7b49\u7b49\u3002<\/span><\/span><\/p>\n


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Part 2 \u8c03\u63a7\u7cfb\u7edf\u4f7f\u5176\u5728\u671f\u671b\u7684\u7a33\u6001<\/span><\/span><\/h3>\n

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Part 1 \u57fa\u4e8e\u8282\u70b9\u72b6\u6001\u65f6\u95f4\u5e8f\u5217\u7684\u65e9\u671f\u4e34\u754c\u70b9\u8bc6\u522b\u4e0e\u9884\u8b66<\/span><\/span><\/h3>\n

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\u5229\u7528\u4e34\u754c\u6162\u5316\u7b49\u6307\u6807\u7684\u4f20\u7edf\u65b9\u6cd5<\/span><\/span><\/p>\n

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Part 2 \u8c03\u63a7\u7cfb\u7edf\u4f7f\u5176\u5728\u671f\u671b\u7684\u7a33\u6001<\/span><\/span><\/h3>\n

\u4e24\u6b65\u6062\u590d\u65b9\u6848\uff08two-step recovery scheme\uff09<\/span><\/span><\/p>\n

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Part 1 \u57fa\u4e8e\u8282\u70b9\u72b6\u6001\u65f6\u95f4\u5e8f\u5217\u7684\u65e9\u671f\u4e34\u754c\u70b9\u8bc6\u522b\u4e0e\u9884\u8b66<\/span><\/span><\/h3>\n

\u52a8\u529b\u7cfb\u7edf\u4e0e\u4e34\u754c\u70b9\uff0cDynamical Systems and Critical Points<\/span><\/span><\/p>\n

\u4e34\u754c\u6162\u5316\u73b0\u8c61\uff0cCritical Slowing Down Phenomenon<\/span><\/span><\/p>\n

\u795e\u7ecf\u7f51\u7edc\uff0cNeural Networks<\/span><\/span><\/p>\n


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Part 2 \u8c03\u63a7\u7cfb\u7edf\u4f7f\u5176\u5728\u671f\u671b\u7684\u7a33\u6001<\/span><\/span><\/h3>\n

\u7f51\u7edc\u8c03\u63a7\uff0cNetwork Regulation<\/span><\/span><\/p>\n

\u5438\u5f15\u57df\uff0cBasin of Attraction<\/span><\/span><\/p>\n

\u5e73\u5747\u573a\u8fd1\u4f3c\uff0cMean Field Approximation<\/span><\/span><\/p>\n


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\u79e6\u4f73\u6770\uff0c<\/span><\/span><\/strong>\u540c\u6d4e\u5927\u5b66\u4e0a\u6d77\u81ea\u4e3b\u667a\u80fd\u65e0\u4eba\u7cfb\u7edf\u79d1\u5b66\u4e2d\u5fc3\u535a\u58eb\u751f\uff0c\u5bfc\u5e08\u4e3a\u4e25\u94a2\u6559\u6388\u3002\u535a\u58eb\u671f\u95f4\u4e3b\u8981\u4ece\u4e8b\u57fa\u4e8e\u590d\u6742\u7f51\u7edc\u7cfb\u7edf\u6a21\u578b\u7684\u77e5\u8bc6\u53d1\u73b0\uff0c\u7406\u8bba\u8bc1\u660e\u4e86\u5ea6\u5f02\u8d28\u6027\u8f83\u5f3a\u7684\u7f51\u7edc\u66f4\u6613\u91cd\u6784\uff0c\u76f8\u5173\u7814\u7a76\u6210\u679c\u53d1\u8868\u5728Physical Review Letters\u4e0a\uff0c\u5e76\u83b7\u7f16\u8f91\u63a8\u8350\uff08Editors’ Suggestion\uff09\u548c\u4eae\u70b9\u62a5\u9053\uff08Featured in Physics\uff09\u3002\u76ee\u524d\u7684\u7814\u7a76\u5174\u8da3\u5728\u590d\u6742\u7cfb\u7edf\u4e34\u754c\u70b9\u7684\u63a8\u65ad\u4e0e\u8c03\u63a7\u3002<\/span><\/span><\/p>\n


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Part 1 \u57fa\u4e8e\u8282\u70b9\u72b6\u6001\u65f6\u95f4\u5e8f\u5217\u7684\u65e9\u671f\u4e34\u754c\u70b9\u8bc6\u522b\u4e0e\u9884\u8b66<\/span><\/span><\/h3>\n

1. Z. Liu, X. Zhang, X. Ru, T. T. Gao, J. M. Moore, and G. Yan, Early predictor for the onset of critical transitions in networked dynamical systems, Phys. Rev. X 14, 031009 (2024).<\/span><\/span><\/h3>\n

2. M. Scheffer, S. Carpenter, J. A. Foley, C. Folke, and B. Walker, Catastrophic shifts in ecosystems, Nature (London) 413, 591 (2001).<\/span><\/span><\/h3>\n

3. T. M. Bury, R. Sujith, I. Pavithran, M. Scheffer, T. M. Lenton, M. Anand, and C.T. Bauch, Deep learning for early warning signals of tipping points, Proc. Natl. Acad. Sci. U.S.A. 118, e2106140118 (2021).<\/span><\/span><\/h3>\n

4. M. He\u00dfler and O. Kamps, Bayesian on-line anticipation of critical transitions, New J. Phys. 24, 063021 (2022).<\/span><\/span><\/h3>\n

5. H. Fan, L.-W. Kong, Y.-C. Lai, and X. Wang, Anticipating synchronization with machine learning, Phys. Rev. Res. 3, 023237 (2021).<\/span><\/span><\/h3>\n

6. M. Schr\u00f6der, M. Timme, and D. Witthaut, A universal order parameter for synchrony in networks of limit cycle oscillators, Chaos 27, 073119 (2017).<\/span><\/span><\/h3>\n


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Part 2 \u8c03\u63a7\u7cfb\u7edf\u4f7f\u5176\u5728\u671f\u671b\u7684\u7a33\u6001<\/span><\/span><\/h3>\n

1. Sanhedrai, H., Gao, J., Bashan, A. et al. Reviving a failed network through microscopic interventions. Nat. Phys. 18, 338\u2013349 (2022).<\/span><\/span><\/h3>\n

2. Meena, C., Hens, C., Acharyya, S. et al. Emergent stability in complex network dynamics. Nat. Phys. 19, 1033\u20131042 (2023).<\/span><\/span><\/h3>\n

3. Jiang Junjie, Hastings Alan and Lai Ying-Cheng. Harnessing tipping points in complex ecological networks. J. R. Soc. Interface. 16, 20190345 (2019).<\/span><\/span><\/h3>\n


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\u6591\u56fe\u94fe\u63a5\uff1ahttps:\/\/pattern.swarma.org\/study_group_issue\/887?from=wechat<\/span><\/span><\/p>\n


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