{"id":34997,"date":"2022-06-06T20:59:59","date_gmt":"2022-06-06T12:59:59","guid":{"rendered":"https:\/\/swarma.org\/?p=34997"},"modified":"2022-06-06T20:59:59","modified_gmt":"2022-06-06T12:59:59","slug":"%e9%ab%98%e9%98%b6%e7%bd%91%e7%bb%9c%e5%8a%a8%e5%8a%9b%e5%ad%a6%e7%bb%bc%e8%bf%b0%ef%bc%9a%e5%90%8c%e6%ad%a5%e3%80%81%e4%bc%a0%e6%9f%93%e3%80%81%e5%90%88%e4%bd%9c%e6%bc%94%e5%8c%96%e4%b8%8e%e5%85%b1","status":"publish","type":"post","link":"https:\/\/swarma.org\/?p=34997","title":{"rendered":"\u9ad8\u9636\u7f51\u7edc\u52a8\u529b\u5b66\u7efc\u8ff0\uff1a\u540c\u6b65\u3001\u4f20\u67d3\u3001\u5408\u4f5c\u6f14\u5316\u4e0e\u5171\u8bc6\u5f62\u6210"},"content":{"rendered":"
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\u4e3a\u4e86\u63a2\u7d22\u9ad8\u9636\u4ea4\u4e92\u7ed3\u6784\uff0c\u805a\u7126\u7f51\u7edc\u79d1\u5b66\u524d\u6cbf\uff0c\u96c6\u667a\u4ff1\u4e50\u90e8\u53d1\u8d77\u4e86<\/span><\/strong>\u300c\u9ad8\u9636\u7f51\u7edc\u8bfb\u4e66\u4f1a<\/a>\u300d\uff0c\u7814\u8bfb\u5206\u4eab\u76f8\u5173\u7814\u7a76\u3002\u8bfb\u4e66\u4f1a\u81ea6\u670828\u65e5\u8d77\uff0c\u6301\u7eed10-12\u5468\uff0c\u5e76\u7279\u9080Ginestra Bianconi\u7b49\u4e00\u7ebf\u5b66\u8005\u505a\u62a5\u544a\u3002\u6b22\u8fce\u4ece\u4e8b\u590d\u6742\u7f51\u7edc\u7814\u7a76\u4e0e\u5e94\u7528\u7684\u670b\u53cb\u52a0\u5165\u3002\u8be6\u60c5\u89c1\u6587\u672b\u3002<\/span><\/strong><\/span><\/strong><\/p>\n


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\u8bba\u6587\u9898\u76ee\uff1a<\/span>Dynamics on higher-order networks: a review<\/span><\/p>\n

\u8bba\u6587\u94fe\u63a5\uff1a<\/span><\/span>https:\/\/royalsocietypublishing.org\/doi\/10.1098\/rsif.2022.0043#RSIF20220043C10<\/span><\/p>\n

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\u76f8\u6bd4\u4f20\u7edf\u7f51\u7edc\uff0c\u4ee5\u5355\u7eaf\u590d\u5f62<\/span>\uff08Simplicial Complex\uff09<\/span>\u548c\u8d85\u56fe<\/span>\uff08hypergraph\uff09<\/span>\u4e3a\u4ee3\u8868\u7684\u9ad8\u9636\u7f51\u7edc\uff0c\u53ef\u4ee5\u66f4\u597d\u5730\u63cf\u8ff0\u590d\u6742\u7cfb\u7edf\u7684\u52a8\u529b\u5b66\u3002<\/span><\/p>\n


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1. \u4ec0\u4e48\u662f\u9ad8\u9636\u7f51\u7edc\uff1f<\/span><\/strong><\/strong><\/p>\n<\/section>\n

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\u4f20\u7edf\u7684\u7f51\u7edc\u4e2d\uff0c\u4e00\u6761\u8fb9\u8fde\u63a5\u4e24\u4e2a\u8282\u70b9\uff0c\u4f46\u9ad8\u9636\u7f51\u7edc\u4e2d\u7684\u8fb9\u5374\u4e0d\u6b62\u4e24\u4e2a\u8282\u70b9\u3002\u9ad8\u9636\u7f51\u7edc\u7684\u4e00\u79cd\u8868\u8fbe\u5f62\u5f0f\u662f\u8d85\u7f51\u7edc<\/strong><\/span>\uff08Hypernetwork\uff09<\/span>\uff0c\u8d85\u7f51\u7edc\u662f\u7f51\u7edc\u7684\u6269\u5c55\uff0c\u5176\u8fde\u8fb9\u53ef\u4ee5\u8fde\u63a5\u591a\u4e2a\u8282\u70b9\u800c\u975e\u4ec5\u4ec5\u4e24\u4e2a\uff0c\u88ab\u79f0\u4e3a\u8d85\u8fb9<\/span>\uff08hyperlink\uff09<\/span>\uff0c\u8d85\u7f51\u7edc\u7531\u8d85\u8fb9\u7ec4\u6210\u3002\u53e6\u4e00\u79cd\u5bf9\u9ad8\u9636\u76f8\u4e92\u4f5c\u7528\u5efa\u6a21\u7684\u65b9\u5f0f\u662f\u5355\u7eaf\u590d\u5f62<\/strong><\/span>\uff08Simplicial complex\uff09<\/span>\uff0c\u4f8b\u5982\uff0c\u5c06 k+1 \u4e2a\u8282\u70b9\u4e4b\u95f4\u7684\u6240\u6709\u8fde\u63a5\u70b9\u4eae\uff0c\u5c31\u5f62\u6210 k \u9636\u5355\u5f62<\/span>\uff08k-simplex\uff09<\/span>\uff0c\u5355\u5f62\u8fdb\u4e00\u6b65\u8fde\u63a5\u7ec4\u6210\u5355\u7eaf\u590d\u5f62\u3002<\/span><\/p>\n

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\u56fe1. \u9ad8\u9636\u7f51\u7edc\u7684\u6784\u6210\u5355\u5143\u3002(a\uff091\u9636\u52303\u9636\u7684\u5355\u5f62\uff08simplex\uff09\u793a\u610f\u56fe\uff0c\uff08b\uff091\u9636\u52303\u9636\u7684\u8d85\u8fb9\u793a\u610f\u56fe<\/span><\/p>\n

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\u9664\u4e86\u4f7f\u7528\u4f20\u7edf\u7684\u590d\u6742\u7f51\u7edc\u5bf9\u591a\u4e2a\u8282\u70b9\u4e4b\u95f4\u7684\u4e92\u4f5c\u5efa\u6a21\uff0c\u8fd8\u53ef\u4ee5\u4f7f\u7528\u591a\u5c42\u7f51\u7edc<\/span>\uff08multilayer networks\uff09<\/span>\u4ee5\u53ca\u65f6\u53d8\u7f51\u7edc<\/span>\uff08time-varying networks\uff09<\/span>\u3002\u4e0e\u8fd9\u4e9b\u65b9\u6cd5\u76f8\u6bd4\uff0c\u9ad8\u9636\u7f51\u7edc\u6709\u4ee5\u4e0b\u51e0\u70b9\u4f18\u52bf\uff1a<\/span><\/p>\n


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\u9996\u5148\uff0c\u9ad8\u9636\u7f51\u7edc\u5bf9\u7f51\u7edc\u7ed3\u6784\u6709\u66f4\u6e05\u6670\u7684\u63cf\u8ff0\u3002\u795e\u7ecf\u5143\u6d3b\u52a8[1,2]\u3001\u793e\u4ea4\u7f51\u7edc[3,4]\u4ee5\u53ca\u751f\u6001\u7f51\u7edc\u4e2d\uff0c\u7531\u4e8e\u53c2\u4e0e\u8005\u59cb\u7ec8\u5728\u8fdb\u884c\u4e09\u5143\u6216\u66f4\u591a\u5143\u7684\u4e92\u4f5c\uff0c\u76f8\u6bd4\u4f7f\u7528\u968f\u65f6\u95f4\u53d8\u5316\u7684\u4e24\u4e24\u4e92\u4f5c\u6216\u5c06\u7f51\u7edc\u5206\u4e3a\u591a\u5c42\uff0c\u9ad8\u9636\u7f51\u7edc\u80fd\u591f\u4ee5\u5185\u751f\u7684\u65b9\u5f0f\uff0c\u4ee5\u66f4\u7b80\u6d01\u7684\u6a21\u578b\u63cf\u8ff0\u591a\u4e3b\u4f53\u4e92\u4f5c\u3002<\/span><\/p>\n


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\u5176\u6b21\uff0c\u9ad8\u9636\u7f51\u7edc\u7684\u5efa\u6a21\u8ba9\u7814\u7a76\u8005\u53ef\u4ee5\u8fdb\u884c\u9ad8\u9636\u7f51\u7edc\u4e0a\u7684\u94fe\u8def\u9884\u6d4b[7]\uff0c\u6216\u8005\u53cd\u8fc7\u6765\u7531\u52a8\u6001\u7684\u65f6\u5e8f\u6570\u636e\u63a8\u6d4b\u7f51\u7edc\u7ed3\u6784[8]\uff0c\u8fd8\u53ef\u4ee5\u5bf9\u591a\u5143\u4e92\u4f5c\u7684\u5f3a\u5f31\u6309\u7167\u7c7b\u4f3cPageRank\u7684\u65b9\u5f0f\u6392\u5e8f[9]\uff0c\u5bf9\u4e8e\u6700\u6709\u5f71\u54cd\u529b\u8282\u70b9\u7684\u8bc4\u4f30\uff0c\u4e5f\u53ef\u4ee5\u4f7f\u7528\u5411\u91cf\u4e2d\u5fc3\u6027<\/span>\uff08vector centrality\uff09<\/span>\u7684\u65b9\u5f0f\u5ea6\u91cf[10]\u3002<\/span><\/p>\n

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\u5173\u4e8e\u540c\u6b65\u7684\u4e00\u4e9b\u91cd\u8981\u53d1\u73b0\uff1a<\/span><\/p>\n

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1. \u5bf9\u4e8e\u5305\u542b\u4e09\u4e3b\u4f53\u7684\u4e92\u4f5c\uff0c\u5df2\u8bc1\u660e\u5728\u4e92\u4f5c\u5f3a\u5ea6\u8d85\u8fc7\u4e34\u754c\u5f3a\u5ea6\u540e\uff0c\u5728\u4e00\u4e2a\u76f8\u4f4d\u632f\u8361\u5668\u7f51\u7edc\u4e2d\uff0c\u53ef\u4ee5\u4ea7\u751f\u65e0\u9650\u591a\u4e2a\u7a33\u5b9a\u540c\u6b65\u5438\u5f15\u5b50[11]\u3002<\/span><\/p>\n

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2. \u7531\u4e8e\u5b58\u5728\u65e0\u6570\u4e2a\u7a33\u5b9a\u7684\u90e8\u5206\u5747\u8861\u6001<\/span>\uff08partial stable point\uff09<\/span>\uff0c\u5728\u4e09\u4e3b\u4f53\u7cfb\u7edf\u80fd\u591f\u89c2\u5bdf\u5230\u8fde\u7eed\u7a81\u53d8\u7684\u53bb\u540c\u6b65\u73b0\u8c61\u3002<\/span><\/p>\n

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3. \u9ad8\u9636\u7f51\u7edc\u4e2d\u7b80\u5355\u590d\u5f62\u7684\u4e92\u4f5c\uff0c\u80fd\u591f\u5e26\u6765\u7a81\u53d1\u7684\u540c\u6b65\u548c\u53bb\u540c\u6b65\u73b0\u8c61\uff0c\u80fd\u591f\u5728\u5b58\u5728\u4e24\u4e24\u4e92\u65a5\u7684\u76f8\u4e92\u4f5c\u7528\u4e0b\uff0c\u4f7f\u5f3a\u540c\u6b65\u7684\u7cfb\u7edf\u7a33\u5b9a\uff0c\u8be5\u73b0\u8c61\u5df2\u5728\u82f1\u56fd\u7535\u7f51\u548c\u6052\u6cb3\u7334\u5927\u8111\u7f51\u7edc\u4e2d\u88ab\u8bc1\u5b9e[12]\u3002<\/span><\/p>\n

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4. \u901a\u8fc7\u4e00\u4e2a\u9002\u5408\u4efb\u610f\u9636\u7684\u9ad8\u9636\u7f51\u7edc\uff0c\u5b58\u5728\u4e00\u4e2a\u4e00\u822c\u7684\u6846\u67b6\uff0c\u53ef\u4f7f\u7f51\u7edc\u4e2d\u7684\u540c\u6b65\u73b0\u8c61\u7a33\u5b9a\u4e0b\u6765[13]\uff0c\u8be5\u7814\u7a76\u8bba\u8bc1\u4e86\u5b8c\u5168\u7684\u540c\u6b65\u53ef\u4ee5\u662f\u4e00\u4e2a\u4e0d\u53d8\u89e3\uff0c\u5e76\u63d0\u4f9b\u4e86\u540c\u6b65\u89e3\u5b58\u5728\u7684\u5fc5\u8981\u6761\u4ef6\u3002<\/span><\/p>\n

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\u9664\u6b64\u4e4b\u5916\uff0c\u57fa\u4e8e\u85cf\u672c\u6a21\u578b<\/span>\uff08Kuramoto model\uff09<\/span>\u7684\u8026\u5408\u632f\u5b50\u5728\u9ad8\u9636\u7f51\u7edc\u4e0a\u7684\u540c\u6b65\u884c\u4e3a\uff0c\u8be5\u7814\u7a76\u4e5f\u6709\u6d89\u53ca\uff0c\u611f\u5174\u8da3\u7684\u8bfb\u8005\u53ef\u9605\u8bfb\u539f\u6587\u3002<\/span><\/p>\n


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


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\u5404\u7c7b\u793e\u4f1a\u8fc7\u7a0b\u4e00\u76f4\u662f\u590d\u6742\u79d1\u5b66\u7814\u7a76\u7684\u4e00\u4e2a\u4e3b\u8981\u9886\u57df\uff0c\u5305\u62ec\u89c2\u70b9\u3001\u6587\u5316\u548c\u8bed\u8a00\u52a8\u6001\u5230\u7fa4\u4f53\u884c\u4e3a\u3001\u5c42\u7ea7\u5236\u7684\u5f62\u6210\u3001\u4eba\u7c7b\u52a8\u6001\u3001\u5408\u4f5c\u6f14\u53d8\u548c\u793e\u4f1a\u4f20\u64ad\u7b49\u4e00\u7cfb\u5217\u60c5\u666f\uff0c\u90fd\u5728\u76f8\u5f53\u5927\u7684\u7a0b\u5ea6\u4e0a\u53d7\u5230\u793e\u4f1a\u7f51\u7edc\u4e2d\u4eba\u9645\u4e92\u52a8\u7684\u5f71\u54cd\uff0c\u7531\u6b64\u5f15\u5bfc\u7814\u7a76\u8005\u4eec\u4ece\u6570\u5b66\u7684\u89d2\u5ea6\u6765\u63a2\u7d22\u7f51\u7edc\u52a8\u529b\u5b66\u3002\u4e3a\u6b64\uff0c\u7f51\u7edc\u79d1\u5b66\u5e94\u8fd0\u800c\u751f\uff0c\u53d1\u6325\u4e86\u6700\u91cd\u8981\u7684\u4f5c\u7528\u3002<\/span><\/p>\n

 <\/span><\/p>\n

\u5728\u8fc7\u53bb\u5341\u5e74\u4e2d\uff0c\u5df2\u6709\u5f88\u591a\u7814\u7a76\u8005\u4ece\u4e0d\u540c\u89d2\u5ea6\u7814\u7a76\u793e\u4ea4\u7f51\u7edc\u4e2d\u7684\u52a8\u529b\u5b66\u3002\u957f\u671f\u4ee5\u6765\uff0c\u7814\u7a76\u56e2\u4f53\u4e00\u76f4\u5bf9\u4e2a\u4f53\u4e4b\u95f4\u7684\u76f8\u4e92\u4f5c\u7528\u611f\u5174\u8da3\uff0c\u8fd9\u79cd\u76f8\u4e92\u4f5c\u7528\u5bfc\u81f4\u4e86\u4e0d\u540c\u7684\u6d8c\u73b0\u884c\u4e3a\u3002\u7136\u800c\uff0c\u6b63\u5982 Castellano \u7b49\u4eba[14]\u548c Malmgren \u7b49\u4eba[15]\u7684\u8bc4\u8bba\u6240\u6307\u51fa\u7684\uff0c\u4ece\u7f51\u7edc\u52a8\u529b\u5b66\u7684\u89d2\u5ea6\u6765\u770b\uff0c\u9700\u8981\u7528\u6bd4\u4ee5\u524d\u66f4\u590d\u6742\u7684\u65b9\u6cd5\u6765\u6355\u6349\u771f\u5b9e\u793e\u4f1a\u4f20\u67d3\u73b0\u8c61\u7684\u91cd\u8981\u65b9\u9762\u3002<\/span><\/p>\n

 <\/span><\/p>\n

\n

3.1 \u9ad8\u9636\u7f51\u7edc\u4e2d\u7684\u4f20\u67d3\u8fc7\u7a0b<\/span><\/strong><\/span><\/p>\n<\/h2>\n

 <\/span><\/p>\n

\n
\n
\u53c2\u8003\u76f8\u5173\u767e\u79d1\uff1a\u590d\u6742\u4f20\u67d3\uff1a\u4fe1\u606f\u548c\u75be\u75c5\u5982\u4f55\u5728\u590d\u6742\u7f51\u7edc\u4e2d\u4f20\u64ad\uff1f| \u96c6\u667a\u767e\u79d1<\/a><\/span><\/section>\n<\/section>\n<\/blockquote>\n


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

\u5173\u952e\u53d1\u73b0\uff1a<\/span><\/p>\n

1. \u5728SIS<\/span>\uff08\u6613\u611f-\u611f\u67d3-\u6613\u611f\uff09<\/span>\u548cSIR<\/span>\uff08\u6613\u611f-\u611f\u67d3-\u6062\u590d\uff09<\/span>\u6a21\u578b\u4e2d\uff0c\u5f53\u5b58\u5728\u9ad8\u9636\u4e92\u4f5c\u65f6\uff0c\u6d41\u884c\u75c5\u7684\u4f20\u64ad\u9608\u503c\u548c\u6d41\u884c\u7a0b\u5ea6\u4e0e\u4e0d\u5b58\u5728\u9ad8\u9636\u4e92\u4f5c\u65f6\u4e0d\u540c\u3002[16]<\/span><\/p>\n

2. \u57fa\u4e8e\u5355\u7eaf\u590d\u5f62\u6a21\u578b\uff0c\u53ef\u8bc1\u660e\u5e76\u901a\u8fc7\u6570\u503c\u6a21\u62df\u8bf4\u660e\uff0c\u5b58\u5728\u8fde\u7eed\u548c\u975e\u8fde\u7eed\u7684\u7a81\u53d8\uff0c\u53ef\u4ee5\u5728\u53cc\u7a33\u5b9a\u70b9\u4e4b\u95f4\u5207\u6362\uff0c\u4e14\u5b58\u5728\u8fdf\u6ede\u6548\u5e94<\/span>\uff08hysteresis\uff09<\/span>[17]\u3002<\/span><\/p>\n

3. \u5728\u8d85\u56fe\u4e0a\u7684SIS\u6a21\u578b\u4e2d\uff0c\u5f53\u5ea6\u6570\u76f8\u5173\u6027\u6ee1\u8db3\u7279\u5b9a\u6761\u4ef6\u65f6\uff0c\u4e09\u5143\u7ec4\u4e92\u4f5c\u7684\u8282\u70b9\u5ea6\u6570\u975e\u5747\u4e00\u5206\u5e03\uff0c\u53ef\u4ee5\u6291\u5236\u4e00\u9636\u7a81\u53d8\u7684\u53d1\u751f[18]\u3002<\/span><\/p>\n

4. \u5bf9\u4e8e\u53d1\u751f\u5728\u529e\u516c\u5ba4\u548c\u5bb6\u5ead\u8fd9\u6837\u6d89\u53ca\u591a\u4eba\u3001\u5177\u6709\u5f02\u8d28\u6027\u7684\u65f6\u5e8f\u4f20\u64ad\u52a8\u529b\u5b66\uff0c\u53ef\u91c7\u7528\u9ad8\u9636\u7f51\u7edc\u5efa\u6a21\uff0c\u80fd\u6355\u6349\u4e4b\u524d\u88ab\u5ffd\u7565\u7684\u95ee\u9898[19]\u3002<\/span><\/p>\n

 <\/span><\/p>\n

\n

3.2 \u9ad8\u9636\u7f51\u7edc\u4e2d\u7684\u5171\u8bc6\u5f62\u6210<\/span><\/strong><\/span><\/p>\n


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

\u5173\u952e\u53d1\u73b0\uff1a<\/span><\/p>\n

1. \u5728\u9ad8\u9636\u7f51\u7edc<\/span>\uff08\u4e09\u4f53\u7cfb\u7edf\uff09<\/span>\u4e2d\uff0c\u53ea\u6709\u5f53\u5b58\u5728\u975e\u7ebf\u6027\u76f8\u4e92\u4f5c\u7528\u7684\u65f6\u5019\uff0c\u591a\u4f53\u7cfb\u7edf\u624d\u80fd\u6709\u6548\u5730\u5f62\u6210\u5171\u8bc6\u3002\u7531\u4e8e\u5f15\u5165\u4e86\u975e\u7ebf\u6027\u51fd\u6570\uff0c\u6d8c\u73b0\u7684\u52a8\u529b\u5b66\u5bfc\u81f4\u4e86\u7cfb\u7edf\u72b6\u6001\u53d1\u751f\u8fdc\u79bb\u5e73\u5747\u6001\u5ea6\u7684\u504f\u79fb\u3002[20]<\/span><\/p>\n

2. \u5728\u8d85\u56fe\u4e0a\u7684\u6709\u9650\u4fe1\u5fc3\u6a21\u578b\u4e2d\uff0c\u4f1a\u51fa\u73b0\u4e2a\u4f53\u7684\u610f\u89c1\u7531\u4e00\u4e2a\u805a\u7c07\u7a81\u7136\u8df3\u8dc3\u5230\u53e6\u4e00\u4e2a\u805a\u7c07\u7684\u89c2\u5ff5\u8df3\u8dc3\uff0c\u8fd9\u5728\u53ea\u8003\u8651\u4e09\u5143\u4e92\u4f5c\u65f6\u662f\u4e0d\u4f1a\u51fa\u73b0\u7684\u3002[21]<\/span><\/p>\n

3. \u5bf9\u4e8e\u5b58\u5728\u793e\u533a\u7ed3\u6784<\/span>\uff08community structure\uff09<\/span>\u7684\u8d85\u56fe\uff0c\u7f51\u7edc\u6f14\u5316\u4f1a\u5bfc\u81f4\u56de\u97f3\u5ba4\u7684\u51fa\u73b0\u3002\u76f8\u6bd4\u8fde\u63a5\u6570\u8f83\u5c11\u7684\u8d85\u8fb9\uff0c\u8fde\u63a5\u6570\u66f4\u591a\u7684\u8d85\u8fb9\u5bf9\u5171\u8bc6\u5f62\u6210\u6709\u51b3\u5b9a\u6027\u610f\u4e49[22]\u3002<\/span><\/p>\n

4. \u5728\u4e00\u4e2a\u901a\u8fc7\u5355\u7eaf\u590d\u5f62\u5efa\u6a21\u9ad8\u9636\u4e92\u4f5c\u7684\u81ea\u9002\u5e94\u7684\u9009\u4e3e\u8005\u6a21\u578b\u4e2d\uff0c\u540c\u4f34\u538b\u529b\u4f1a\u52a0\u901f\u5355\u4e00\u89c2\u70b9\u72b6\u6001\u548c\u4e24\u79cd\u89c2\u70b9\u72b6\u6001\u95f4\u7684\u8f6c\u6362\uff0c\u8fd9\u79cd\u52a0\u901f\u662f\u53cc\u5411\u7684\u3002[23]<\/span><\/p>\n

 <\/span><\/p>\n

\n

3.3 \u9ad8\u9636\u7f51\u7edc\u4e0a\u7684\u6f14\u5316\u535a\u5f08<\/span><\/strong><\/span><\/p>\n


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

\u5728\u5305\u62ec\u5fae\u751f\u7269\u548c\u4eba\u7c7b\u793e\u4f1a\u5728\u5185\u7684\u5404\u79cd\u5b9e\u9645\u7cfb\u7edf\u4e2d\u90fd\u53ef\u4ee5\u89c2\u5bdf\u5230\u5408\u4f5c\u884c\u4e3a\uff0c\u4e2a\u4f53\u4e3a\u4e86\u76f8\u4e92\u5229\u76ca\u5728\u7fa4\u4f53\u4e2d\u5171\u540c\u53d1\u6325\u4f5c\u7528\u3002\u5728\u63a2\u7d22\u53d7\u7fa4\u4f53\u76f8\u4e92\u4f5c\u7528\u5f71\u54cd\u7684\u79cd\u7fa4\u4e2d\u7684\u6f14\u5316\u535a\u5f08\u52a8\u529b\u5b66\u4e2d\uff0c\u9ad8\u9636\u76f8\u4e92\u4f5c\u7528\u4e0d\u540c\u4e8e\u6210\u5bf9\u76f8\u4e92\u4f5c\u7528\u5bfc\u81f4\u7684\u6536\u76ca\u4e4b\u548c\uff0c\u5373\u4e00\u4e2a\u4eba\u5728\u9ad8\u9636\u76f8\u4e92\u4f5c\u7528\u4e2d\u7684\u6536\u76ca\uff0c\u4f1a\u7531\u4e8e\u975e\u7ebf\u6027\u5bfc\u81f4\u4e0d\u540c\u7684\u52a8\u529b\u5b66\u8fc7\u7a0b[24]\u3002<\/span><\/p>\n

 <\/span><\/p>\n

\u5173\u952e\u53d1\u73b0\uff1a<\/span><\/p>\n

1. \u66f4\u5927\u7684\u7fa4\u4f53\u89c4\u6a21\uff0c\u6709\u52a9\u4e8e\u4fdd\u6301\u4e8c\u5143\u4e92\u52a8\u7f51\u7edc\u4e2d\u7684\u5408\u4f5c\uff0c\u800c\u8fd9\u662f\u5728\u53ea\u8003\u8651\u4e09\u5143\u76f8\u4e92\u4f5c\u7528\u65f6\u65e0\u6cd5\u7ef4\u6301\u7684\u3002[24]<\/span> <\/span><\/p>\n

2. \u53d7\u9ad8\u9636\u7ed3\u6784\u5f71\u54cd\u7684\u4eba\u7fa4\u4e2d\u7684\u4fe1\u53f7\u4f20\u9012\u6e38\u620f\uff0c\u5728\u53d1\u9001\u8005-\u63a5\u6536\u8005\u6e38\u620f\u4e2d\u8bda\u5b9e\u5ea6\u7684\u52a8\u6001\u6f14\u5316\uff0c\u4f1a\u5448\u73b0\u4e00\u79cd\u4e0d\u540c\u5f62\u5f0f\u7684\u6218\u7565\u4e92\u52a8\uff0c\u5373\u4f7f\u5b58\u5728\u8bf4\u8c0e\u7684\u8bf1\u60d1\uff0c\u8bda\u5b9e\u7684\u7b56\u7565\u4f9d\u7136\u53ef\u4ee5\u7ef4\u6301\uff0c\u8fd9\u4e0d\u540c\u4e8e\u4e8c\u5143\u4e92\u4f5c\u5355\u72ec\u5b58\u5728\u7684\u573a\u666f\u3002\u6b64\u5916\uff0c\u9ad8\u9636\u4e92\u4f5c\u7684\u5b58\u5728\uff0c\u4f7f\u5f97\u5373\u4f7f\u5f53\u8c0e\u8a00\u5bf9\u63a5\u53d7\u8005\u6709\u5229\u65f6\uff0c\u7531\u4e8e\u53d1\u9001\u8005\u8981\u4ed8\u51fa\u4ee3\u4ef7\uff0c\u4f7f\u5f97\u9053\u5fb7\u7b56\u7565\u4f9d\u7136\u53ef\u4ee5\u7ef4\u6301[25]\u3002<\/span><\/p>\n

3. \u5728\u8bf8\u5982\u56da\u5f92\u56f0\u5883\u8fd9\u6837\u7684\u535a\u5f08\u4e2d\uff0c1\u9636\u548c2\u9636\u5355\u7eaf\u590d\u5f62\u7ec4\u6210\u7684\u7f51\u7edc\uff0c\u4f1a\u5448\u73b0\u4e0d\u540c\u7684\u7eb3\u4ec0\u5747\u8861\u70b9\uff0c\u8fd9\u610f\u5473\u7740\u591a\u4eba\u535a\u5f08\u4f1a\u5bfc\u81f4\u975e\u4f18\u52bf\u7b56\u7565\u7684\u51fa\u73b0\u53ca\u5176\u4e0e\u4f18\u52bf\u7b56\u7565\u7684\u5171\u5b58\uff0c\u6b64\u5916\uff0c\u8be5\u7814\u7a76\u8fd8\u5173\u6ce8\u9ad8\u9636\u4e92\u4f5c\u5b58\u5728\u65f6\uff0c\u4ece\u6b3a\u9a97\u5360\u4e3b\u5bfc\u7684\u7b56\u7565\u5230\u5408\u4f5c\u5360\u4e3b\u5bfc\u7684\u7b56\u7565\u4e4b\u95f4\u7684\u8f6c\u53d8[26]\u3002<\/span> <\/span><\/p>\n

4. \u5728\u5ea6\u6570\u5747\u5300\u7684\u9ad8\u9636\u7f51\u7edc\u4e2d\u7684\u6f14\u5316\u535a\u5f08\uff0c\u5f53\u8d85\u8fb9\u95f4\u7684\u5173\u8054\u662f\u56fa\u5b9a\u7684\u65f6\u5019\uff0c\u7b49\u4ef7\u4e8e\u5728\u4e00\u4e2a\u5b8c\u5168\u6df7\u5408\u7684\u7fa4\u4f53\u4e2d\u7684\u535a\u5f08\u3002\u4e0d\u540c\u9636\u6570\u548c\u5ea6\u6570\u5206\u5e03\u5f02\u8d28\u6027\u5bf9\u6f14\u5316\u535a\u5f08\u7ed3\u679c\u7279\u5f81\u7684\u5f71\u54cd\u4e5f\u5f97\u5230\u4e86\u8fdb\u4e00\u6b65\u7814\u7a76[27]\u3002<\/span><\/p>\n


<\/p>\n


<\/section>\n

\n
\n
\n
\n
\n

<\/section>\n

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

4. \u603b\u7ed3\u4e0e\u5c55\u671b<\/span><\/strong><\/strong><\/p>\n<\/section>\n

\n

<\/section>\n

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


<\/p>\n

\u8be5\u7efc\u8ff0\u9664\u4e86\u63a2\u8ba8\u9ad8\u9636\u4e92\u4f5c\u5b58\u5728\u65f6\u7684\u540c\u6b65\uff0c\u793e\u4ea4\u7f51\u7edc\u4e2d\u7684\u52a8\u529b\u5b66\uff0c\u8fd8\u63a2\u8ba8\u4e86\u9ad8\u9636\u4e92\u4f5c\u5b58\u5728\u65f6\u7684\u968f\u673a\u6e38\u8d70\u548c\u6269\u6563<\/span>\uff08\u53ef\u9605\u8bfb\u539f\u6587\u7b2c\u4e94\u90e8\u5206\uff09<\/span>\u3002\u603b\u7ed3\u6765\u770b\uff0c\u5c3d\u7ba1\u5f53\u524d\u5728\u5206\u6790\u9ad8\u9636\u76f8\u4e92\u4f5c\u7528\u5bf9\u52a8\u529b\u5b66\u8fc7\u7a0b\u7684\u5f71\u54cd\u65b9\u9762\u53d6\u5f97\u4e86\u4e00\u4e9b\u91cd\u5927\u8fdb\u5c55\uff0c\u4ee5\u4e0b\u7814\u7a76\u8def\u7ebf\u4ecd\u7136\u503c\u5f97\u5173\u6ce8\uff1a<\/span><\/p>\n

 <\/span><\/p>\n

\u4e00\u662f\u65f6\u5e8f\u9ad8\u9636\u7f51\u7edc<\/span>\uff08temporal higher-order networks\uff09<\/span>\uff0c\u7814\u7a76\u65b9\u5411\u5305\u62ec\u7ed3\u6784\u53d8\u5316\uff0c\u65f6\u53d8\u9ad8\u9636\u7f51\u7edc\u52a8\u529b\u5b66\uff0c\u8fd9\u540c\u6837\u9002\u7528\u4e8e\u76f8\u4e92\u4f9d\u5b58\u7684\u7f51\u7edc\u6846\u67b6\uff0c\u7279\u522b\u662f\u591a\u5c42\/\u591a\u8def\u7ed3\u6784\u4ee5\u53ca\u9ad8\u9636\u76f8\u4e92\u4f5c\u7528\uff0c\u5bf9\u8fd9\u4e9b\u7ed3\u6784\u9020\u6210\u7684\u5f71\u54cd\uff0c\u662f\u4e00\u4e2a\u6709\u524d\u666f\u7684\u7814\u7a76\u65b9\u5411\u3002<\/span><\/p>\n

 <\/span><\/p>\n

\u53e6\u4e00\u4e2a\u65b9\u5411\u662f\u5305\u542b\u5d4c\u5408\u4f53<\/span>\uff08chimera\uff09<\/span>\u7684\u9ad8\u9636\u7f51\u7edc\uff0c\u76ee\u524d\u5bf9\u6b64\u7f3a\u4e4f\u7814\u7a76\uff0c\u800c\u6709\u7814\u7a76\u8868\u660e\u5176\u4e0e\u591a\u795e\u7ecf\u5143\u7684\u53d1\u80b2\u662f\u76f8\u4f3c\u7684[28]\u3002<\/span><\/p>\n

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\u7b2c\u4e09\u4e2a\u53ef\u80fd\u7684\u7814\u7a76\u65b9\u5411\uff0c\u662f\u9ad8\u9636\u7f51\u7edc\u4e2d\u7531\u4e8e\u8282\u70b9\u81ea\u9002\u5e94\u6027\u5bfc\u81f4\u7684\u590d\u6742\u6027\u589e\u52a0\u6240\u5f15\u8d77\u7684\u52a8\u529b\u5b66\u5206\u6790\u3002<\/span><\/p>\n

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