{"id":44276,"date":"2023-08-02T16:53:07","date_gmt":"2023-08-02T08:53:07","guid":{"rendered":"https:\/\/swarma.org\/?p=44276"},"modified":"2023-08-02T16:53:07","modified_gmt":"2023-08-02T08:53:07","slug":"%e5%9b%a0%e6%9e%9c%e6%b6%8c%e7%8e%b0%ef%bc%9a%e6%a6%82%e5%bf%b5%e3%80%81%e7%90%86%e8%ae%ba%e5%88%b0%e5%ba%94%e7%94%a8%ef%bd%9c%e9%9b%86%e6%99%ba%e7%99%be%e7%a7%91","status":"publish","type":"post","link":"https:\/\/swarma.org\/?p=44276","title":{"rendered":"\u56e0\u679c\u6d8c\u73b0\uff1a\u6982\u5ff5\u3001\u7406\u8bba\u5230\u5e94\u7528\uff5c\u96c6\u667a\u767e\u79d1"},"content":{"rendered":"
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\u6d8c\u73b0\uff0c\u662f\u6307\u590d\u6742\u7cfb\u7edf\u5728\u5b8f\u89c2\u6240\u5c55\u73b0\u51fa\u6765\u7684\uff0c\u65e0\u6cd5\u5f52\u7ea6\u5230\u5fae\u89c2\u7684\u7279\u6027\u6216\u89c4\u5f8b\u30022013\u5e74\u7f8e\u56fd\u7406\u8bba\u795e\u7ecf\u751f\u7269\u5b66\u5bb6 Erik Hoel \u5c1d\u8bd5\u5c06\u4eba\u5de5\u667a\u80fd\u4e2d\u7684\u56e0\u679c\u548c\u590d\u6742\u7cfb\u7edf\u4e2d\u7684\u6d8c\u73b0\u8fd9\u4e24\u4e2a\u6838\u5fc3\u6982\u5ff5\u7ed3\u5408\u8d77\u6765\uff0c\u63d0\u51fa\u56e0\u679c\u6d8c\u73b0\uff08causal emergence\uff09<\/span><\/strong>\u8fd9\u4e00\u6982\u5ff5\uff0c\u6765\u91cf\u5316\u7cfb\u7edf\u52a8\u529b\u5b66\u7684\u56e0\u679c\u6027\u5f3a\u5f31\u3002\u672c\u6587\u5168\u9762\u4ecb\u7ecd\u4e86\u56e0\u679c\u6d8c\u73b0\u7684\u6982\u5ff5\u3001\u91cf\u5316\u65b9\u6cd5\u3001\u5b9e\u4f8b\u3001\u5e94\u7528\u4ee5\u53ca\u4e0e\u4eba\u5de5\u667a\u80fd\u7684\u8054\u7cfb\uff0c\u5e76\u9644\u6709\u56e0\u679c\u6d8c\u73b0\u8bfb\u4e66\u4f1a\u5bf9\u76f8\u5173\u8bba\u6587\u7684\u89e3\u8bfb\uff0c\u4e3a\u4e86\u89e3\u548c\u5b66\u4e60\u56e0\u679c\u6d8c\u73b0\u7406\u8bba\u63d0\u4f9b\u4e86\u4e00\u4efd\u7b80\u660e\u7684\u5165\u95e8\u6307\u5357\u3002<\/span><\/strong><\/span><\/strong><\/section>\n

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\u7531\u5317\u4eac\u5e08\u8303\u5927\u5b66\u6559\u6388\u3001\u96c6\u667a\u4ff1\u4e50\u90e8\u521b\u59cb\u4eba\u5f20\u6c5f\u7b49\u4eba\u53d1\u8d77\u7684\u300c\u56e0\u679c\u6d8c\u73b0<\/a>\u300d\u7cfb\u5217\u8bfb\u4e66\u4f1a\u7b2c\u4e09\u5b63\uff0c\u5c06\u7ec4\u7ec7\u5bf9\u672c\u8bdd\u9898\u611f\u5174\u8da3\u7684\u670b\u53cb\uff0c\u6df1\u5165\u63a2\u8ba8\u56e0\u679c\u6d8c\u73b0\u7684\u6838\u5fc3\u7406\u8bba\uff0c\u8be6\u7ec6\u68b3\u7406\u9886\u57df\u53d1\u5c55\u8109\u7edc\uff0c\u5e76\u53d1\u6398\u56e0\u679c\u6d8c\u73b0\u5728\u751f\u7269\u7f51\u7edc\u548c\u8111\u7f51\u7edc\u3001\u6d8c\u73b0\u63a2\u6d4b\u7b49\u65b9\u9762\u7684\u5e94\u7528\u3002\u8bfb\u4e66\u4f1a\u81ea7\u670811\u65e5\u5f00\u59cb\uff0c\u6bcf\u5468\u4e8c\u665a19:00-21:00\uff0c\u9884\u8ba1\u6301\u7eed10\u5468\u3002<\/span><\/strong><\/span><\/strong><\/span><\/strong>\u6b22\u8fce\u611f\u5174\u8da3\u7684\u670b\u53cb\u62a5\u540d\u53c2\u4e0e\u3002<\/span><\/strong><\/span><\/strong><\/span><\/strong><\/section>\n
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\u7814\u7a76\u9886\u57df\uff1a\u56e0\u679c\u6d8c\u73b0\uff0c\u56e0\u679c\u79d1\u5b66\uff0c\u56e0\u679c\u6d8c\u73b0\u91cf\u5316\uff0c\u590d\u6742\u7f51\u7edc\uff0c\u4eba\u5de5\u667a\u80fd<\/strong><\/strong><\/span><\/strong><\/span><\/strong><\/span><\/strong><\/strong><\/span><\/strong><\/span><\/strong><\/span><\/strong><\/strong><\/section>\n
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\u76ee\u5f55<\/span><\/strong><\/strong><\/p>\n<\/section>\n<\/section>\n<\/section>\n

1 \u5386\u53f2<\/span><\/strong><\/p>\n

2 \u57fa\u672c\u6982\u5ff5<\/span><\/strong><\/p>\n

2.1 \u9a6c\u5c14\u53ef\u592b\u52a8\u529b\u5b66<\/span><\/section>\n
2.2 \u7c97\u7c92\u5316<\/span><\/section>\n

3 \u56e0\u679c\u6d8c\u73b0\u7684\u91cf\u5316<\/span><\/strong><\/p>\n

3.1 \u65e9\u671f\u76f8\u5173\u5de5\u4f5c<\/span><\/section>\n
    3.1.1 \u8ba1\u7b97\u529b\u5b66<\/span><\/section>\n
    3.1.2 G-emergence\u7406\u8bba<\/span><\/section>\n
3.2 \u56e0\u679c\u6d8c\u73b0\u7684\u5b9a\u4e49<\/span><\/section>\n
    3.2.1 Hoel\u7684\u7c97\u7c92\u5316\u65b9\u6cd5<\/span><\/section>\n
    3.2.2 \u4fe1\u606f\u5206\u89e3\u65b9\u6cd5<\/span><\/section>\n
3.3 \u56e0\u679c\u6d8c\u73b0\u7684\u8bc6\u522b<\/span><\/section>\n
    3.3.1 \u4fe1\u606f\u5206\u89e3\u65b9\u6cd5<\/span>
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    3.3.2 \u795e\u7ecf\u4fe1\u606f\u538b\u7f29\u65b9\u6cd5<\/span><\/section>\n

4 \u5b9e\u4f8b<\/span><\/strong><\/p>\n

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4.2 \u79bb\u6563\u5e03\u5c14\u7f51\u7edc\u4e0a\u7684\u56e0\u679c\u6d8c\u73b0<\/span><\/section>\n
4.3 \u65f6\u57df\u7a7a\u95f4\u4e0a\u7684\u56e0\u679c\u6d8c\u73b0<\/span><\/section>\n
4.4 \u8fde\u7eed\u7a7a\u95f4\u4e0a\u7684\u56e0\u679c\u6d8c\u73b0<\/span><\/section>\n

5 \u5e94\u7528<\/span><\/strong><\/p>\n

5.1 \u5728\u590d\u6742\u7f51\u7edc\u4e0a\u7684\u5e94\u7528<\/span><\/section>\n
5.2 \u5728\u751f\u7269\u7cfb\u7edf\u4e0a\u7684\u5e94\u7528<\/span><\/section>\n
5.3 \u5728\u4eba\u5de5\u795e\u7ecf\u7f51\u7edc\u4e0a\u7684\u5e94\u7528<\/span><\/section>\n

6 \u56e0\u679c\u6d8c\u73b0\u4e0e\u4eba\u5de5\u667a\u80fd<\/span><\/strong><\/p>\n

6.1 \u56e0\u679c\u6d8c\u73b0\u4e0e\u56e0\u679c\u8868\u793a\u5b66\u4e60<\/span><\/section>\n
6.2 \u56e0\u679c\u6d8c\u73b0\u4e0e\u56e0\u679c\u6a21\u578b\u62bd\u8c61<\/span><\/section>\n
6.3 \u56e0\u679c\u6d8c\u73b0\u4e0e\u57fa\u4e8e\u4e16\u754c\u6a21\u578b\u7684\u5f3a\u5316\u5b66\u4e60<\/span><\/section>\n

7 \u53c2\u8003\u6587\u732e<\/span><\/strong><\/p>\n


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\u56e0\u679c\u6d8c\u73b0\uff08causal emergence\uff09\u662f\u6307\u52a8\u529b\u7cfb\u7edf\u4e2d\u4e00\u7c7b\u7279\u6b8a\u7684\u6d8c\u73b0\u73b0\u8c61\uff0c\u5373\u7cfb\u7edf\u5728\u5b8f\u89c2\u5c3a\u5ea6\u4f1a\u5c55\u73b0\u51fa\u66f4\u5f3a\u7684\u56e0\u679c\u7279\u6027\u3002\u7279\u522b\u5730\uff0c\u5bf9\u4e8e\u4e00\u7c7b\u9a6c\u5c14\u53ef\u592b\u52a8\u529b\u7cfb\u7edf\uff0c\u5728\u5bf9\u5176\u72b6\u6001\u7a7a\u95f4\u8fdb\u884c\u9002\u5f53\u7684\u7c97\u7c92\u5316\u4ee5\u540e\uff0c\u6240\u5f62\u6210\u7684\u5b8f\u89c2\u52a8\u529b\u5b66\u4f1a\u5c55\u73b0\u51fa\u6bd4\u5fae\u89c2\u66f4\u5f3a\u7684\u56e0\u679c\u7279\u6027\uff0c\u90a3\u4e48\u79f0\u8be5\u7cfb\u7edf\u53d1\u751f\u4e86\u56e0\u679c\u6d8c\u73b0[1][2]\u3002\u9a6c\u5c14\u53ef\u592b\u52a8\u529b\u7cfb\u7edf\u662f\u6307\u7cfb\u7edf\u5728\u67d0\u4e00\u65f6\u523b\u7684\u72b6\u6001\u4ec5\u4ec5\u4f9d\u8d56\u4e8e\u7cfb\u7edf\u4e0a\u4e00\u65f6\u523b\u6240\u5904\u7684\u72b6\u6001\uff0c\u800c\u4e0e\u66f4\u65e9\u7684\u72b6\u6001\u65e0\u5173\u3002\u8fd9\u91cc\u7684\u7c97\u7c92\u5316\u662f\u6307\u5bf9\u7cfb\u7edf\u7684\u72b6\u6001\u7a7a\u95f4\u8fdb\u884c\u7ea6\u7b80\u7684\u4e00\u79cd\u65b9\u6cd5\uff0c\u5b83\u5f80\u5f80\u53ef\u4ee5\u8868\u793a\u4e3a\u4e00\u4e2a\u5177\u6709\u964d\u7ef4\u7279\u5f81\u7684\u51fd\u6570\u6620\u5c04\u3002\u6240\u8c13\u7684\u5b8f\u89c2\u52a8\u529b\u5b66\u662f\u6307\u5728\u88ab\u7c97\u7c92\u5316\u540e\u7684\u65b0\u72b6\u6001\u7a7a\u95f4\u4e0a\u7684\u968f\u9644\u7684\uff08superveniance\uff09\u52a8\u529b\u5b66\uff0c\u5b83\u5b8c\u5168\u53d6\u51b3\u4e8e\u5fae\u89c2\u7684\u52a8\u529b\u5b66\u548c\u7c97\u7c92\u5316\u65b9\u5f0f\u3002
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\u540c\u65f6\u6d8c\u73b0\u548c\u56e0\u679c\u4e5f\u662f\u76f8\u4e92\u8054\u7cfb\u7684<\/strong>\uff1a\u4e00\u65b9\u9762\uff0c\u6d8c\u73b0\u662f\u590d\u6742\u7cfb\u7edf\u4e2d\u5404\u7ec4\u6210\u90e8\u5206\u4e4b\u95f4\u590d\u6742\u7684\u975e\u7ebf\u6027\u76f8\u4e92\u4f5c\u7528\u7684\u56e0\u679c\u6548\u5e94<\/strong>\uff1b\u53e6\u4e00\u65b9\u9762\uff0c\u6d8c\u73b0\u7279\u6027\u4e5f\u4f1a\u5bf9\u590d\u6742\u7cfb\u7edf\u4e2d\u7684\u4e2a\u4f53\u4ea7\u751f\u56e0\u679c\u5173\u7cfb<\/strong>\u3002\u56e0\u6b64\uff0c\u53ef\u4ee5\u501f\u52a9\u56e0\u679c\u6765\u5b9a\u91cf\u523b\u753b\u6d8c\u73b0\u7684\u53d1\u751f\u30022013\u5e74\u7f8e\u56fd\u7406\u8bba\u795e\u7ecf\u751f\u7269\u5b66\u5bb6 Erik Hoel \u5c1d\u8bd5\u5c06\u56e0\u679c\u5f15\u5165\u6d8c\u73b0\u7684\u8861\u91cf\uff0c\u63d0\u51fa\u4e86\u56e0\u679c\u6d8c\u73b0\u8fd9\u4e00\u6982\u5ff5\uff0c\u5e76\u4e14\u4f7f\u7528\u6709\u6548\u4fe1\u606f<\/span>\uff08Effective Information\uff0c\u7b80\u79f0EI\uff09<\/span>\u6765\u91cf\u5316\u7cfb\u7edf\u52a8\u529b\u5b66\u7684\u56e0\u679c\u6027\u5f3a\u5f31[1][2]\u3002<\/span><\/section>\n

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\u56e0\u679c\u6d8c\u73b0\u5f88\u597d\u5730\u523b\u753b\u4e86\u7cfb\u7edf\u5b8f\u89c2\u548c\u5fae\u89c2\u72b6\u6001\u4e4b\u95f4\u7684\u533a\u522b\u4e0e\u8054\u7cfb\uff0c\u540c\u65f6\u628a\u4eba\u5de5\u667a\u80fd\u4e2d\u7684<\/span>\u56e0\u679c<\/strong>\u548c\u590d\u6742\u7cfb\u7edf\u4e2d\u7684<\/span>\u6d8c\u73b0<\/strong>\u8fd9\u4e24\u4e2a\u6838\u5fc3\u6982\u5ff5\u7ed3\u5408\u8d77\u6765\uff0c\u56e0\u679c\u6d8c\u73b0\u4e5f\u4e3a\u5b66\u8005\u56de\u7b54\u4e00\u7cfb\u5217\u7684\u54f2\u5b66\u95ee\u9898\u63d0\u4f9b\u4e00\u4e2a\u5b9a\u91cf\u5316\u7684\u89c6\u89d2\u3002\u6bd4\u5982\uff0c\u53ef\u4ee5\u501f\u52a9\u56e0\u679c\u6d8c\u73b0\u6846\u67b6\u8ba8\u8bba\u751f\u547d\u7cfb\u7edf\u6216\u8005\u793e\u4f1a\u7cfb\u7edf\u4e2d\u7684\u81ea\u4e0a\u800c\u4e0b\u7684\u56e0\u679c\u7b49\u7279\u6027\u3002\u8fd9\u91cc\u7684\u81ea\u4e0a\u800c\u4e0b\u56e0\u679c\u6307\u7684\u662f\u5411\u4e0b\u56e0\u679c[6]\uff0c\u8868\u793a\u5b58\u5728\u5b8f\u89c2\u5230\u5fae\u89c2\u7684\u56e0\u679c\u6548\u5e94\u3002\u4f8b\u5982\uff0c\u58c1\u864e\u65ad\u5c3e\u73b0\u8c61\uff0c\u5f53\u9047\u5230\u5371\u9669\u65f6\u58c1\u864e\u4e0d\u5f81\u6c42\u5c3e\u5df4\u7684\u5efa\u8bae\u76f4\u63a5\u5c06\u81ea\u5df1\u7684\u5c3e\u5df4\u65ad\u6389\uff0c\u8fd9\u91cc\u6574\u4f53\u662f\u56e0\uff0c\u5c3e\u5df4\u662f\u679c\uff0c\u90a3\u4e48\u5c31\u5b58\u5728\u4e00\u4e2a\u6574\u4f53\u6307\u5411\u4e2a\u4f53\u7684\u56e0\u679c\u529b\u3002<\/span><\/section>\n

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2. \u56e0\u679c\u6d8c\u73b0\u7684\u57fa\u672c\u6982\u5ff5<\/strong><\/strong><\/span><\/p>\n<\/section>\n

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


<\/p>\n

\u5982\u679c\u901a\u8fc7\u5408\u9002\u7684\u7c97\u7c92\u5316\u7b56\u7565\uff0c\u4f7f\u5f97\u7cfb\u7edf\u5728\u5b8f\u89c2\u5c3a\u5ea6\u80fd\u591f\u5c55\u73b0\u51fa\u6bd4\u5b83\u5728\u5fae\u89c2\u5c3a\u5ea6\u4e0a\u5177\u6709\u66f4\u5f3a\u7684\u56e0\u679c\u7279\u6027\u7684\u65f6\u5019\uff0c\u8fd9\u5c31\u53d1\u751f\u4e86\u56e0\u679c\u6d8c\u73b0\u3002\u5176\u4e2d\u7cfb\u7edf\u56e0\u679c\u5173\u7cfb\u7684\u5f3a\u5ea6\u63ed\u793a\u5176\u672a\u6765\u72b6\u6001\u53d7\u5f53\u524d\u72b6\u6001\u5f71\u54cd\u7684\u7a0b\u5ea6\u3002\u503c\u5f97\u6ce8\u610f\u7684\u662f\uff0c\u76ee\u524d\u7814\u7a76\u56e0\u679c\u6d8c\u73b0\u90fd\u662f\u5efa\u7acb\u5728\u9a6c\u5c14\u53ef\u592b\u52a8\u529b\u5b66\u7cfb\u7edf\u4e0a\uff0c\u540c\u65f6\u4e5f\u9700\u8981\u4f7f\u7528\u7c97\u7c92\u5316\u51fd\u6570\u3002<\/span><\/section>\n

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2.1 \u9a6c\u5c14\u53ef\u592b\u52a8\u529b\u5b66<\/strong><\/span><\/h3>\n

<\/section>\n
\u9a6c\u5c14\u53ef\u592b\u52a8\u529b\u5b66\u662f\u6307\u7cfb\u7edf\u7684\u4e0b\u4e00\u65f6\u523b\u72b6\u6001\u53ea\u4f9d\u8d56\u4e8e\u7cfb\u7edf\u4e0a\u4e00\u65f6\u523b\u7684\u72b6\u6001\uff0c\u5e76\u4e14\u4e0e\u518d\u4e4b\u524d\u7684\u72b6\u6001\u65e0\u5173\u3002\u9a6c\u5c14\u53ef\u592b\u52a8\u529b\u5b66\u53ef\u4ee5\u5177\u4f53\u5206\u4e3a\u79bb\u6563\u65f6\u95f4\u3001\u8fde\u7eed\u65f6\u95f4\uff0c\u79bb\u6563\u72b6\u6001\u3001\u8fde\u7eed\u72b6\u6001\uff0c\u4ee5\u53ca\u5b83\u4eec\u7684\u7ec4\u5408\u7b49\u591a\u79cd\u5f62\u5f0f\u3002\u4f8b\u5982\uff0c\u8868\u4e2d\u6982\u7387\u8f6c\u79fb\u77e9\u9635\u5c31\u5b9a\u4e49\u4e86\u4e00\u4e2a\u79bb\u6563\u65f6\u95f4\u3001\u79bb\u6563\u72b6\u6001\u4e0a\u7684\u9a6c\u5c14\u53ef\u592b\u52a8\u529b\u5b66<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mn><\/mjx-texatom><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>P<\/span><\/mi>(<\/span><\/mo>S<\/span><\/mi>t+1<\/sub><\/span><\/mn><\/mrow><\/msub>|<\/span><\/mo><\/mrow>S<\/span><\/mi>t<\/sub><\/span><\/mi><\/mrow><\/msub>)<\/span><\/mo><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\uff0c<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>S<\/span><\/mi>t<\/sub><\/span><\/mi><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u548c<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mn><\/mjx-texatom><\/mjx-script><\/mjx-msub><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>S<\/span><\/mi>t+1<\/sub><\/span><\/mn><\/mrow><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u5206\u522b\u8868\u793a<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>t<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u65f6\u523b\u548c<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mn><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>t<\/span><\/mi>+<\/span><\/mo>1<\/span><\/mn><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u65f6\u523b\u7684\u72b6\u6001\uff1a<\/span><\/section>\n

<\/span><\/section>\n
\u79bb\u6563\u9a6c\u5c14\u53ef\u592b\u52a8\u529b\u5b66<\/span><\/span><\/strong><\/section>\n

<\/p>\n

\u8fd9\u662f\u4e00\u4e2a\u79bb\u6563\u65f6\u95f4\u79bb\u6563\u72b6\u6001(<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>S<\/span><\/mi>=<\/span><\/mo>{<\/span><\/mo>a<\/span><\/mi>,<\/span><\/mo>b<\/span><\/mi>,<\/span><\/mo>c<\/span><\/mi>}<\/span><\/mo><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>)\u7684\u9a6c\u5c14\u53ef\u592b\u52a8\u529b\u5b66\u4e2d\u7684\u72b6\u6001\u6982\u7387\u8f6c\u79fb\u77e9\u9635\uff0c\u5176\u4e2d\u6bcf\u4e00\u884c\u3001\u5217\u90fd\u5bf9\u5e94\u4e00\u4e2a\u72b6\u6001\uff0c\u7b2ci\u884c\u7b2cj\u5217\u8868\u793a\u72b6<\/span>\u6001\u4ece\u7b2ci\u4e2a\u72b6\u6001\u8f6c\u79fb\u5230\u7b2cj\u4e2a\u72b6\u6001\u7684\u6982\u7387\u3002\u6211\u4eec\u4e5f\u53ef\u4ee5\u7b49\u4ef7\u5730\u7528\u72b6\u6001\u8f6c\u79fb\u56fe\u6765\u8868\u793a\u3002<\/span><\/section>\n

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\u9a6c\u5c14\u53ef\u592b\u72b6\u6001\u8f6c\u79fb\u56fe<\/span><\/section>\n

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\u76ee\u524d\u5bf9\u56e0\u679c\u6d8c\u73b0\u7684\u8ba8\u8bba\u5927\u591a\u96c6\u4e2d\u4e8e\u8fd9\u79cd\u79bb\u6563\u65f6\u95f4\u3001\u79bb\u6563\u72b6\u6001\u7684\u9a6c\u5c14\u53ef\u592b\u52a8\u529b\u5b66\u3002<\/span><\/section>\n

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\u5f53\u7136\uff0c\u8fd8\u5b58\u5728\u7740\u8fde\u7eed\u65f6\u95f4\u3001\u8fde\u7eed\u72b6\u6001\u7684\u9a6c\u5c14\u53ef\u592b\u52a8\u529b\u5b66\uff0c\u4f8b\u5982\u6717\u4e4b\u4e07\u65b9\u7a0b\uff1a<\/span><\/section>\n

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<\/p>\n

<\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container><\/section>\n
\u5176\u4e2d<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>X<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u4e3a\u4e00\u968f\u673a\u53d8\u91cf\uff0c\u53ef\u4ee5\u4ece\u6240\u6709\u5b9e\u6570\u4e2d\u53d6\u503c\uff0ca\u4e3a\u5e38\u6570\uff0c<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>\u03be<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u4e3a\u4e00\u9ad8\u65af\u566a\u58f0\u3002<\/span><\/section>\n


<\/h3>\n


<\/h3>\n

2.2 \u7c97\u7c92\u5316<\/span><\/span><\/strong><\/span><\/h3>\n

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\u7c97\u7c92\u5316\u662f\u4e00\u79cd\u901a\u8fc7\u5c06\u7cfb\u7edf\u7ec4\u4ef6\u5206\u7ec4\u4e3a\u66f4\u5927\u3001\u53d8\u5316\u66f4\u6162\u7684\u5355\u5143\u6765\u7b80\u5316\u7cfb\u7edf\u63cf\u8ff0\u7684\u8fc7\u7a0b\uff0c\u5b83\u901a\u5e38\u7528\u4e8e\u786e\u5b9a\u7cfb\u7edf\u7684\u57fa\u672c\u7279\u5f81\uff0c\u8fd9\u4e9b\u7279\u5f81\u51b3\u5b9a\u4e86\u7cfb\u7edf\u7684\u5b8f\u89c2\u884c\u4e3a\uff0c\u800c\u4e0d\u53d7\u5fae\u89c2\u5c3a\u5ea6\u76f8\u4e92\u4f5c\u7528\u7b49\u7ec6\u8282\u7684\u5f71\u54cd\u3002<\/span><\/section>\n

<\/span><\/section>\n
\u5bf9\u4e8e\u590d\u6742\u7cfb\u7edf\u6765\u8bf4\uff0c\u7c97\u7c92\u5316\u4e00\u822c\u5305\u542b\u4e86\u8282\u70b9<\/span>\uff08\u5355\u5143\uff09<\/span>\u7684\u5408\u5e76\uff0c\u4ee5\u53ca\u5b8f\u89c2\u72b6\u6001\u7684\u8ba1\u7b97\u4e24\u4e2a\u6b65\u9aa4\u3002\u7c97\u7c92\u5316\u7b56\u7565\u53ef\u4ee5\u5c06\u4e00\u7ec4\u5fae\u89c2\u72b6\u6001\u6620\u5c04\u5230\u4e00\u4e2a\u7279\u5b9a\u7684\u5b8f\u89c2\u72b6\u6001\u3002<\/span>\u6b64\u5916\uff0c\u4eba\u4eec\u5f80\u5f80\u4f1a\u6df7\u7528\u7c97\u7c92\u5316\u4e0e\u91cd\u6574\u5316[10][11]\uff0c\u786e\u5b9e\u4e24\u8005\u5b58\u5728\u5f88\u591a\u5171\u540c\u4e4b\u5904\uff0c\u5982\u4e24\u8005\u90fd\u662f\u5bf9\u7cfb\u7edf\u8fdb\u884c\u66f4\u52a0\u5b8f\u89c2\u5c3a\u5ea6\u7684\u63cf\u8ff0\u3002\u4f46\u662f\u4e24\u8005\u4e5f\u5b58\u5728\u533a\u522b\uff0c\u7c97\u7c92\u5316\u4e00\u822c\u90fd\u662f\u5bf9\u7cfb\u7edf\u7684\u72b6\u6001\u8fdb\u884c\u64cd\u4f5c\uff0c\u800c\u91cd\u6574\u5316\u4e00\u822c\u9488\u5bf9\u7684\u662f\u7cfb\u7edf\u52a8\u529b\u5b66\u3001\u914d\u5206\u51fd\u6570\u6216\u8005\u89c4\u5219\u3002\u7c97\u7c92\u5316\u5728\u4e0d\u540c\u9886\u57df\u6709\u7740\u4e0d\u540c\u7684\u8868\u8ff0\uff1a\u4e0b\u91c7\u6837\u3001\u6c60\u5316\u7b49\u3002<\/span><\/section>\n

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3. \u56e0\u679c\u6d8c\u73b0\u7684\u91cf\u5316<\/strong><\/strong><\/span><\/p>\n<\/section>\n

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


<\/p>\n

3.1 \u65e9\u671f\u76f8\u5173\u5de5\u4f5c<\/strong><\/span><\/h3>\n

<\/section>\n
Hoel\u7b49\u4eba[1]\u63d0\u51fa\u7684\u56e0\u679c\u6d8c\u73b0\u7406\u8bba\u4e4b\u524d\uff0c\u5df2\u7ecf\u6709\u4e00\u4e9b\u76f8\u5173\u7684\u5de5\u4f5c\u5f15\u5165\u4e0e\u56e0\u679c\u6d8c\u73b0\u7406\u8bba\u975e\u5e38\u76f8\u4f3c\u7684\u601d\u60f3\u3002\u4f8b\u5982\uff0cCrutchfield\u7b49[12]\u63d0\u51fa\u7684\u8ba1\u7b97\u529b\u5b66\u7406\u8bba\u8003\u8651\u4e86\u56e0\u679c\u72b6\u6001\uff0c\u8be5\u65b9\u6cd5\u662f\u5bf9\u72b6\u6001\u7a7a\u95f4\u7684\u5212\u5206\u3002\u800cSeth\u7b49\u4eba\u5219\u63d0\u51fa\u4e86G-emergence\u7406\u8bba[13]\u5229\u7528\u683c\u5170\u6770\u56e0\u679c\u5173\u7cfb\u6765\u91cf\u5316\u6d8c\u73b0\u3002<\/span><\/section>\n


<\/h4>\n

3.1.1 \u8ba1\u7b97\u529b\u5b66<\/span><\/strong><\/h4>\n

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\u8ba1\u7b97\u529b\u5b66\u7406\u8bba\u8bd5\u56fe\u7528\u5b9a\u91cf\u7684\u6846\u67b6\u6765\u8868\u8ff0\u6d8c\u73b0\u7684\u56e0\u679c\u5173\u7cfb\uff0c\u5e0c\u671b\u4ece\u4e00\u4e2a\u968f\u673a\u8fc7\u7a0b\u7684\u89c2\u6d4b\u4e2d\u6784\u9020\u4e00\u4e2a\u6700\u5c0f\u7684\u56e0\u679c\u6a21\u578b\uff0c\u4ece\u800c\u6765\u4ea7\u751f\u89c2\u6d4b\u7684\u65f6\u95f4\u5e8f\u5217[12]\u3002\u5176\u4e2d\u968f\u673a\u8fc7\u7a0b\u53ef\u4ee5\u7528<\/sub><\/span>\u8868\u793a\uff0c\u57fa\u4e8e\u65f6\u95f4<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>t<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u53ef\u4ee5\u5c06\u968f\u673a\u8fc7\u7a0b\u5206\u4e3a\u4e24\u4e2a\u90e8\u5206\uff0c\u65f6\u95f4\u524d\u548c\u65f6\u95f4\u540e\u7684\u8fc7\u7a0b\uff0c<\/span><\/sub><\/span><\/mo><\/mover><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u548c<\/sub><\/span>\uff0c\u5f53\u8fd9\u4e2a\u8fc7\u7a0b\u662f\u5e73\u7a33\u8fc7\u7a0b\u65f6\uff0c\u53ef\u4ee5\u53bb\u6389\u65f6\u95f4\u3002\u56e0\u6b64\uff0c\u53ef\u4ee5\u5c06\u6240\u6709\u53ef\u80fd\u7684\u5386\u53f2\u8fc7\u7a0b<\/sub><\/span>\u5f62\u6210\u7684\u96c6\u5408\u8bb0\u4f5c<\/sub><\/span>\uff0c\u6240\u6709\u672a\u6765\u7684\u8fc7\u7a0b\u5f62\u6210\u7684\u96c6\u5408\u8bb0\u4f5c<\/span><\/sub><\/span><\/mo><\/mover><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> \u53ef\u4ee5\u5c06<\/span><\/sub><\/span><\/mo><\/mover><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u5206\u89e3\u4e3a\u76f8\u4e92\u6392\u65a5\u53c8\u8054\u5408\u5168\u9762\u7684\u5b50\u96c6\uff0c\u5f62\u6210\u7684\u96c6\u5408\u8bb0\u4e3a<\/span><\/sub><\/span><\/span>\u4e2d\u7684\u4efb\u610f\u5b50\u96c6\u53ef\u4ee5\u770b\u4f5c\u662f\u4e00\u4e2a\u72b6\u6001\uff0c\u5b9a\u4e49\u4e00\u4e2a\u5206\u89e3\u51fd\u6570<\/span><\/sub><\/span><\/span>\u3002<\/span><\/section>\n

<\/section>\n
\u6b64\u5916\uff0c\u5b9a\u4e49\u4e86\u56e0\u679c\u7b49\u4ef7\u7684\u6982\u5ff5\uff0c\u5982\u679c<\/span><\/sub><\/span><\/mo><\/mrow><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\uff0c\u5219<\/sub><\/span>\u548c<\/sub><\/span>\uff08\u8868\u793a<\/sub><\/span>\u7684\u5b50\u96c6\uff09\u662f\u56e0\u679c\u7b49\u4ef7\u7684\u3002\u5c06\u5386\u53f2<\/span><\/sub><\/span><\/mo><\/mover><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container><\/span><\/mo><\/mover><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u7684\u6240\u6709\u56e0\u679c\u72b6\u6001\u5b9a\u4e49\u4e3a<\/span><\/sub><\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\uff0c\u5c06\u4e24\u4e2a\u56e0\u679c\u72b6\u6001<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>S<\/span><\/mi>i<\/sub><\/span><\/mi><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u548c<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>S<\/span><\/mi>j<\/sub><\/span><\/mi><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u4e4b\u95f4\u7684\u56e0\u679c\u8f6c\u79fb\u6982\u7387\u8bb0\u4e3a<\/span><\/sub><\/span><\/mo><\/mrow><\/mrow><\/msubsup><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\uff0c\u4e00\u4e2a\u968f\u673a\u8fc7\u7a0b\u7684<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>\u03f5<\/span><\/mi>\u2212<\/span><\/mo>m<\/span><\/mi>a<\/span><\/mi>c<\/span><\/mi>h<\/span><\/mi>i<\/span><\/mi>n<\/span><\/mi>e<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u88ab\u5b9a\u4e49\u4e3a\u6709\u5e8f\u5bf9<\/span><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-mrow><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>{<\/span><\/mo>\u03f5<\/span><\/mi>,<\/span><\/mo>T<\/span><\/mi>}<\/span><\/mo><\/mrow><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\uff0c\u662f\u4e00\u79cd\u6a21\u5f0f\u53d1\u73b0\u673a\u5668\uff0c\u5176\u4e2d<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>\u03f5<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u662f\u56e0\u679c\u72b6\u6001\u51fd\u6570\uff0c<\/span>T<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u662f\u901a\u8fc7<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>\u03f5<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u5b9a\u4e49\u7684\u72b6\u6001\u8f6c\u79fb\u77e9\u9635\u7684\u96c6\u5408\u3002\u901a\u8fc7\u8bc1\u660e<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>\u03f5<\/span><\/mi>\u2212<\/span><\/mo>m<\/span><\/mi>a<\/span><\/mi>c<\/span><\/mi>h<\/span><\/mi>i<\/span><\/mi>n<\/span><\/mi>e<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u5177\u6709\u6700\u5927\u7a0b\u5ea6\u7684\u9884\u6d4b\u6027\u548c\u6700\u5c0f\u7a0b\u5ea6\u7684\u968f\u673a\u6027\u8fd9\u4e24\u4e2a\u91cd\u8981\u7279\u6027\uff0c\u9a8c\u8bc1\u4e86\u5b83\u5728\u67d0\u79cd\u610f\u4e49\u4e0a\u662f\u6700\u4f18\u7684\u3002<\/span><\/section>\n

<\/section>\n
\u8be5\u65b9\u6cd5\u6ca1\u6709\u7ed9\u51fa\u6d8c\u73b0\u7684\u660e\u786e\u5b9a\u4e49\u548c\u5b9a\u91cf\u7406\u8bba\uff0c\u968f\u540e\u4e00\u4e9b\u7814\u7a76\u4eba\u5458\u8fdb\u4e00\u6b65\u63a8\u8fdb\u4e86\u8ba1\u7b97\u529b\u5b66\u7684\u53d1\u5c55\uff0cShalizi\u7b49[14]\u5728\u81ea\u5df1\u7684\u5de5\u4f5c\u4e2d\u8ba8\u8bba\u8ba1\u7b97\u529b\u5b66\u4e0e\u6d8c\u73b0\u7684\u5173\u7cfb\uff0c\u540c\u65f6\u5728\u53e6\u4e00\u4e2a\u5de5\u4f5c\u4e2d\uff0cShalizi\u7b49[15]\u8fd8\u5c06\u8ba1\u7b97\u529b\u5b66\u5e94\u7528\u4e8e\u5143\u80de\u81ea\u52a8\u673a\uff0c\u5e76\u4e14\u5728\u66f4\u9ad8\u7684\u63cf\u8ff0\u6c34\u5e73\u4e0a\u53d1\u73b0\u6d8c\u73b0\u7684\u201c\u7c92\u5b50\u201d\u3002<\/span><\/section>\n

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\u5173\u4e8e\u8ba1\u7b97\u529b\u5b66\uff0c\u53ef\u4ee5\u89c2\u770b\u56e0\u679c\u6d8c\u73b0\u8bfb\u4e66\u4f1a\u7684\u5206\u4eab\uff1a<\/p>\n

\u859b\u91d1\u946b\uff1a\u8ba1\u7b97\u529b\u5b66\uff1a\u6a21\u5f0f\u3001\u9884\u6d4b\u3001\u7ed3\u6784\u4e0e\u7b80\u6d01\u6027<\/p>\n

https:\/\/pattern.swarma.org\/study_group_issue\/259<\/p>\n<\/section>\n<\/blockquote>\n


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


<\/h4>\n

3.1.2 G-emergence\u7406\u8bba<\/span><\/strong><\/h4>\n

<\/span><\/section>\n
G-emergence\u7406\u8bba\u662fSeth\u4e8e2008\u5e74\u63d0\u51fa\u7684\u6700\u65e9\u5bf9\u6d8c\u73b0\u8fdb\u884c\u5b9a\u91cf\u91cf\u5316\u7684\u7814\u7a76\u4e4b\u4e00[13]\uff0c\u57fa\u672c\u601d\u60f3\u662f\u7528\u975e\u7ebf\u6027\u683c\u5170\u6770\u56e0\u679c\u6765\u91cf\u5316\u590d\u6742\u7cfb\u7edf\u4e2d\u7684\u5f31\u6d8c\u73b0\u3002\u5177\u4f53\u6765\u8bf4\uff0c\u4f7f\u7528\u4e8c\u5143\u81ea\u56de\u5f52\u6a21\u578b\u8fdb\u884c\u9884\u6d4b\uff0c\u5f53\u53ea\u5b58\u5728\u4e24\u4e2a\u53d8\u91cfA\u548cB\u65f6\uff0c\u81ea\u56de\u5f52\u6a21\u578b\u5b58\u5728\u4e24\u4e2a\u7b49\u5f0f\uff0c\u6bcf\u4e2a\u7b49\u5f0f\u5bf9\u5e94\u5176\u4e2d\u4e00\u4e2a\u53d8\u91cf\u6bcf\u4e2a\u65f6\u523b\u503c\u7684\u6784\u6210\uff0c\u6bcf\u4e2a\u53d8\u91cf\u7684\u5f53\u524d\u65f6\u523b\u503c\u90fd\u662f\u7531\u81ea\u8eab\u53d8\u91cf\u548c\u53e6\u5916\u4e00\u4e2a\u53d8\u91cf\u5728\u6ede\u540e\u65f6\u95f4\u8303\u56f4\u5185\u7684\u53d8\u91cf\u4ee5\u53ca\u6b8b\u5dee\u9879\u6784\u6210\uff0c\u6b8b\u5dee\u53ef\u4ee5\u7406\u89e3\u4e3a\u9884\u6d4b\u8bef\u5dee\uff0c\u6b8b\u5dee\u53ef\u4ee5\u7528\u6765\u8861\u91cf\u683c\u5170\u6770\u56e0\u679c<\/span>\uff08G-causality\uff09<\/span>\u7684\u56e0\u679c\u6548\u5e94\u7a0b\u5ea6\u3002B\u4f5c\u4e3aA\u7684\u683c\u5170\u6770\u56e0<\/span>\uff08G-cause\uff09<\/span>\u7684\u7a0b\u5ea6\u901a\u8fc7\u4e24\u4e2a\u6b8b\u5dee\u65b9\u5dee\u4e4b\u6bd4\u7684\u5bf9\u6570\u6765\u8ba1\u7b97\uff0c\u5176\u4e2d\u4e00\u4e2a\u662f\u5728\u7701\u7565B\u7684\u6240\u6709\u9879\u65f6A\u7684\u81ea\u56de\u5f52\u6a21\u578b\u7684\u6b8b\u5dee\uff0c\u53e6\u4e00\u4e2a\u662f\u5168\u9884\u6d4b\u6a21\u578b\u7684\u6b8b\u5dee\u3002\u6b64\u5916\uff0c\u4f5c\u8005\u8fd8\u5b9a\u4e49\u4e86G-autonomous\uff0c\u8868\u793a\u4e00\u4e2a\u65f6\u95f4\u5e8f\u5217\u7684\u8fc7\u53bb\u503c\u53ef\u4ee5\u5e2e\u52a9\u9884\u6d4b\u81ea\u8eab\u7684\u672a\u6765\u503c\u3002G-autonomous\u7684\u7a0b\u5ea6\u53ef\u4ee5\u7528\u7c7b\u4f3c\u91cf\u5316\u683c\u5170\u56e0\u679c\u7684\u65b9\u6cd5\u6765\u6d4b\u91cf\u3002<\/span><\/section>\n

<\/span><\/section>\n
<\/section>\n
G-emergence \u7406\u8bba\u56fe<\/span><\/section>\n

<\/span><\/section>\n
\u57fa\u4e8e\u4e0a\u8ff0G-causality\u4e2d\u7684\u4e24\u4e2a\u57fa\u672c\u6982\u5ff5\uff0c\u53ef\u4ee5\u6765\u5224\u65ad\u6d8c\u73b0\u7684\u53d1\u751f <\/span>(\u8fd9\u91cc\u662f\u57fa\u4e8e\u683c\u5170\u6770\u56e0\u679c\u7684\u6d8c\u73b0\u7684\u8861\u91cf\uff0c\u8bb0\u4f5cG-emergence)<\/span>\u3002\u5982\u679c\u628aA\u7406\u89e3\u4e3a\u5b8f\u89c2\u53d8\u91cf\uff0cB\u7406\u89e3\u4e3a\u5fae\u89c2\u53d8\u91cf\u3002\u53d1\u751f\u6d8c\u73b0\u7684\u6761\u4ef6\u5305\u542b\u4e24\u4e2a\uff1a1\uff09A\u662f\u5173\u4e8eB\u7684G-autonomous\uff1b2\uff09B\u662fA\u7684G-cause\u3002\u5176\u4e2dG-emergence\u7684\u7a0b\u5ea6\u662f\u901a\u8fc7A\u7684G-autonomous\u7684\u7a0b\u5ea6\u4e0eB\u7684\u5e73\u5747G-cause\u7684\u7a0b\u5ea6\u7684\u4e58\u79ef\u6765\u8ba1\u7b97\u3002<\/span><\/section>\n

<\/span><\/section>\n
Seth\u63d0\u51fa\u7684G-emergence\u7406\u8bba\u9996\u6b21\u5c1d\u8bd5\u4f7f\u7528\u56e0\u679c\u5173\u7cfb\u6765\u91cf\u5316\u6d8c\u73b0\u73b0\u8c61<\/strong>\uff0c\u7136\u800c\uff0c\u4f5c\u8005\u4f7f\u7528\u7684\u56e0\u679c\u5173\u7cfb\u662f\u683c\u5170\u6770\u56e0\u679c\uff0c\u8fd9\u4e0d\u662f\u4e00\u4e2a\u4e25\u683c\u7684\u56e0\u679c\u5173\u7cfb<\/strong>\uff0c\u540c\u65f6\u7ed3\u679c\u4e5f\u53d6\u51b3\u4e8e\u6240\u4f7f\u7528\u7684\u56de\u5f52\u65b9\u6cd5\u3002\u6b64\u5916\uff0c\u65b9\u6cd5\u7684\u5ea6\u91cf\u6307\u6807\u662f\u6839\u636e\u53d8\u91cf\u800c\u4e0d\u662f\u52a8\u529b\u5b66\u5b9a\u4e49\u7684\uff0c\u8fd9\u610f\u5473\u7740\u7ed3\u679c\u4f1a\u4f9d\u8d56\u4e8e\u53d8\u91cf\u7684\u9009\u62e9\u3002\u56e0\u6b64\uff0c\u8be5\u65b9\u6cd5\u8fd8\u5b58\u5728\u5f88\u591a\u4e0d\u8db3\uff0cErik\u7b49\u4eba\u63d0\u51fa\u7684\u56e0\u679c\u6d8c\u73b0\u6846\u67b6\u80fd\u6709\u6548\u89e3\u51b3\u8fd9\u4e9b\u95ee\u9898\u3002<\/span><\/section>\n

<\/section>\n
\n
\n
\n
\u5173\u4e8eG-emergence\u7406\u8bba\u3001\u6d8c\u73b0\u7684\u5206\u7c7b\u3001\u56e0\u679c\u6d8c\u73b0\u7684\u8fa8\u8bc6\u7b49\u66f4\u591a\u8bdd\u9898\uff0c\u53ef\u4ee5\u89c2\u770b\u56e0\u679c\u6d8c\u73b0\u8bfb\u4e66\u4f1a\u7684\u5206\u4eab\uff1a<\/span><\/span><\/section>\n
\u5f20\u6c5f\u3001\u8881\u51b0\uff1a\u6d8c\u73b0\u3001\u56e0\u679c\u4e0e\u4eba\u5de5\u667a\u80fd<\/span><\/section>\n
https:\/\/pattern.swarma.org\/study_group_issue\/490<\/span><\/section>\n<\/section>\n<\/section>\n<\/blockquote>\n

<\/section>\n

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

3.2 \u56e0\u679c\u6d8c\u73b0\u7684\u5b9a\u4e49<\/strong><\/span><\/h3>\n

<\/section>\n
\u8fd1\u5e74\u6765\u4e00\u4e9b\u7814\u7a76\u4eba\u5458\u4e5f\u63d0\u51fa\u4e00\u4e9b\u5b9a\u91cf\u523b\u753b\u56e0\u679c\u6d8c\u73b0\u7684\u65b9\u6cd5\u3002\u5bf9\u4e8e\u5982\u4f55\u5b9a\u4e49\u56e0\u679c\u6d8c\u73b0\u662f\u4e00\u4e2a\u5173\u952e\u95ee\u9898\uff0c\u6709\u4e24\u4e2a\u4ee3\u8868\u6027\u5de5\u4f5c\uff0c\u5206\u522b\u662fHoel\u7b49[1][2]\u63d0\u51fa\u7684\u57fa\u4e8e\u7c97\u7c92\u5316\u7684\u65b9\u6cd5\u4ee5\u53caRosas\u7b49[16]\u63d0\u51fa\u7684\u57fa\u4e8e\u4fe1\u606f\u5206\u89e3\u7684\u65b9\u6cd5\u3002<\/span><\/section>\n


<\/h4>\n

3.2.1 Hoel \u7684\u7c97\u7c92\u5316\u65b9\u6cd5<\/span><\/strong><\/h4>\n

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Hoel\u7b49[1][2]\u6700\u65e9\u63d0\u51fa\u56e0\u679c\u6d8c\u73b0\u7406\u8bba\uff0c\u53f3\u56fe\u662f\u5bf9\u8be5\u7406\u8bba\u6846\u67b6\u7684\u4e00\u4e2a\u62bd\u8c61\uff0c\u5176\u4e2d\uff0c\u6a2a\u5750\u6807\u8868\u793a\u65f6\u95f4\u5c3a\u5ea6\uff0c\u7eb5\u5750\u6807\u8868\u793a\u7a7a\u95f4\u5c3a\u5ea6\u3002\u8be5\u6846\u67b6\u53ef\u4ee5\u770b\u6210\u662f\u4e00\u4e2a\u591a\u5c42\u7ea7\u7684\u7cfb\u7edf\uff0c\u5b58\u5728\u5fae\u89c2\u548c\u5b8f\u89c2\u4e24\u79cd\u72b6\u6001\u3002\u7531\u4e8e\u5fae\u89c2\u6001\u5f80\u5f80\u5177\u6709\u5f88\u5927\u7684\u566a\u97f3\uff0c\u5bfc\u81f4\u5fae\u89c2\u52a8\u529b\u5b66\u7684\u56e0\u679c\u6027\u6bd4\u8f83\u5f31\uff0c\u6240\u4ee5\u5982\u679c\u80fd\u5bf9\u5fae\u89c2\u6001\u8fdb\u884c\u5408\u9002\u7684\u7c97\u7c92\u5316\u5f97\u5230\u566a\u97f3\u66f4\u5c0f\u7684\u5b8f\u89c2\u6001\uff0c\u4ece\u800c\u80fd\u4f7f\u5f97\u5b8f\u89c2\u52a8\u529b\u5b66\u7684\u56e0\u679c\u6027\u66f4\u5f3a\u3002\u6b64\u5916\uff0c\u56e0\u679c\u6d8c\u73b0\u73b0\u8c61\u7684\u53d1\u751f\u610f\u5473\u7740\uff0c\u5f53\u7c97\u7c92\u5316\u5fae\u89c2\u72b6\u6001\u65f6\uff0c\u4ece\u5f53\u524d\u72b6\u6001\u4f20\u9012\u5230\u4e0b\u4e00\u72b6\u6001\u7684\u6709\u6548\u4fe1\u606f\u91cf\u4f1a\u589e\u52a0\u3002<\/span><\/section>\n

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\u56e0\u679c\u6d8c\u73b0\u7406\u8bba\u6846\u67b6<\/span><\/section>\n

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\u4f5c\u8005\u501f\u9274\u4e86\u6574\u5408\u4fe1\u606f\u7684\u91cf\u5316\u65b9\u6cd5[17]\uff0c\u63d0\u51fa\u4e00\u79cd\u56e0\u679c\u6548\u5e94\u5ea6\u91cf\u6307\u6807\u6709\u6548\u4fe1\u606f(<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>E<\/span><\/mi>I<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>)\u6765\u91cf\u5316\u4e00\u4e2a\u9a6c\u5c14\u53ef\u592b\u52a8\u529b\u5b66\u7684\u56e0\u679c\u6027\u5f3a\u5f31\uff0c\u8be5\u6307\u6807\u53cd\u5e94\u4e00\u4e2a\u7279\u5b9a\u7684\u72b6\u6001\u5982\u4f55\u6709\u6548\u5730\u5f71\u54cd\u7cfb\u7edf\u7684\u672a\u6765\u72b6\u6001\uff0c\u662f\u7cfb\u7edf\u52a8\u529b\u5b66\u7684\u5185\u7980\u5c5e\u6027\u3002\u5177\u4f53\u6765\u8bf4\uff0c\u4f7f\u7528\u5e72\u9884\u64cd\u4f5c\u5bf9\u4e0a\u4e00\u65f6\u523b\u7684\u72b6\u6001\u505a\u5e72\u9884\uff0c\u7136\u540e\u8ba1\u7b97\u5e72\u9884\u5206\u5e03\u4e0e\u5728\u5e72\u9884\u7684\u60c5\u51b5\u4e0b\u7ecf\u8fc7\u52a8\u529b\u5b66\u7684\u4e0b\u4e00\u65f6\u523b\u5206\u5e03\u4e24\u8005\u4e4b\u95f4\u7684\u4e92\u4fe1\u606f\u4f5c\u4e3a\u56e0\u679c\u6548\u5e94\u7684\u5ea6\u91cf\u6307\u6807\uff0c <\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>E<\/span><\/mi>I<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u7684\u8ba1\u7b97\u516c\u5f0f\u5982\u4e0b\u6240\u793a\uff1a<\/span><\/section>\n

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\u5176\u4e2d<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mn><\/mjx-texatom><\/mjx-script><\/mjx-msub><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>s<\/span><\/mi>t-1<\/sub><\/span><\/mn><\/mrow><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u548c<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>s<\/span><\/mi>t<\/sub><\/span><\/mi><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u5206\u522b\u8868\u793a<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mn><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>t<\/span><\/mi>\u2212<\/span><\/mo>1<\/span><\/mn><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u548c<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>t<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u65f6\u523b\u7684\u7cfb\u7edf\u72b6\u6001\uff0c<\/sub><\/span>\uff0c\u8fd9\u91cc<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>d<\/span><\/mi>o<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u64cd\u4f5c\u8868\u793a\u5bf9\u72b6\u6001\u8fdb\u884c\u5e72\u9884\u5e76\u4e14\u5f3a\u884c\u8bbe\u5b9a\u4e0a\u4e00\u65f6\u523b\u7684\u72b6\u6001<\/span>s<\/mi>t-1<\/sub><\/span><\/mn><\/mrow><\/span><\/mn><\/mrow><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u4e3a\u5747\u5300\u5206\u5e03\uff0c\u8fd9\u91cc<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>I<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u8868\u793a\u7cfb\u7edf\u7684\u72b6\u6001\u7a7a\u95f4\uff0c<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-mrow><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>U<\/span><\/mi>(<\/span><\/mo>I<\/span><\/mi>)<\/span><\/mo><\/mrow><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u8868\u793a\u7a7a\u95f4\u4e0a\u7684\u5747\u5300\u5206\u5e03\u3002\u8fdb\u884c\u5e72\u9884\u64cd\u4f5c\u662f\u4e3a\u4e86\u4f7f\u5f97\u6709\u6548\u4fe1\u606f\u80fd\u5ba2\u89c2\u8861\u91cf\u52a8\u529b\u5b66\u7684\u56e0\u679c\u7279\u6027\u800c\u4e0d\u53d7\u539f\u59cb\u8f93\u5165\u6570\u636e\u7684\u5206\u5e03\u5f71\u54cd\u3002\u4e3a\u4e86\u6d88\u9664\u72b6\u6001\u7a7a\u95f4\u5927\u5c0f\u5bf9\u6709\u6548\u4fe1\u606f\u7684\u5f71\u54cd\uff0c\u4f7f\u5f97\u6bd4\u8f83\u4e0d\u540c\u7684\u5c3a\u5ea6\u4e0b\u7684\u6709\u6548\u4fe1\u606f\u662f\u6709\u610f\u4e49\u7684\uff0c\u4f5c\u8005\u5b9a\u4e49\u4e86\u4e00\u4e2a\u5f52\u4e00\u5316\u6307\u6807\u6709\u6548\u7cfb\u6570\u6765\u8861\u91cf\u52a8\u529b\u5b66\u7684\u56e0\u679c\u6027\u5f3a\u5f31\uff0c\u6709\u6548\u7cfb\u6570\u548c\u6709\u6548\u4fe1\u606f\u6709\u5982\u4e0b\u5173\u7cfb\uff1a<\/span><\/section>\n

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<\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mo><\/mjx-nstrut><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-mrow><\/mjx-num><\/mjx-line><\/mjx-dstrut><\/mjx-c><\/mjx-c><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mn><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-mrow><\/mjx-den><\/mjx-row><\/mjx-dtable><\/mjx-dbox><\/mjx-frac><\/mjx-mfrac><\/mjx-texatom><\/mjx-mstyle><\/mjx-math><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container><\/section>\n
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<\/mi><\/mrow><\/mfrac><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container><\/section>\n

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\u5176\u4e2d<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>n<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u8868\u793a\u7cfb\u7edf\u7684\u72b6\u6001\u4e2a\u6570\uff0c<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mn><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mn><\/mjx-c><\/mjx-mo><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>E<\/span><\/mi>f<\/span><\/mi>f<\/span><\/mi>(<\/span><\/mo>S<\/span><\/mi>)<\/span><\/mo>\u2208<\/span><\/mo>[<\/span><\/mo>0<\/span><\/mn>,<\/span><\/mo>1<\/span><\/mn>]<\/span><\/mo><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u3002\u6b64\u5916\uff0c\u6709\u6548\u7cfb\u6570\u53ef\u4ee5\u8fdb\u4e00\u6b65\u5206\u89e3\u4e3a\u786e\u5b9a\u6027\u548c\u7b80\u5e76\u6027\uff0c<\/span>E<\/span><\/mi>f<\/span><\/mi>f<\/span><\/mi>(<\/span><\/mo>S<\/span><\/mi>)<\/span><\/mo><\/mrow>=<\/span><\/mo>\u27e8<\/span><\/mo> \u786e\u5b9a\u6027 <\/span><\/mtext>(<\/span><\/mo>s<\/span><\/mi>0<\/span><\/mn><\/msub>)<\/span><\/mo><\/mrow>\u27e9<\/span><\/mo><\/mrow>\u2212<\/span><\/mo>\u27e8<\/span><\/mo> \u7b80\u5e76\u6027 <\/span><\/mtext>(<\/span><\/mo>s<\/span><\/mi>0<\/span><\/mn><\/msub>)<\/span><\/mo><\/mrow>\u27e9<\/span><\/mo><\/mrow><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\uff0c\u786e\u5b9a\u6027\u548c\u7b80\u5e76\u6027\u7684\u8ba1\u7b97\u516c\u5f0f\u5206\u522b\u5982\u4e0b\u6240\u793a\uff1a<\/span><\/section>\n

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\u53ef\u4ee5\u901a\u8fc7\u6bd4\u8f83\u7cfb\u7edf\u4e2d\u5b8f\u5fae\u89c2\u52a8\u529b\u5b66\u7684\u6709\u6548\u4fe1\u606f\u5927\u5c0f\u6765\u5224\u65ad\u56e0\u679c\u6d8c\u73b0\u7684\u53d1\u751f\u3002\u5982\u679c\u901a\u8fc7\u6709\u6548\u7684\u7c97\u7c92\u5316\u4f7f\u5f97\u5b8f\u89c2\u52a8\u529b\u5b66\u7684\u6709\u6548\u4fe1\u606f\u5927\u4e8e\u5fae\u89c2\u52a8\u529b\u5b66\u7684\u6709\u6548\u4fe1\u606f\uff08<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-mrow><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-mrow><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>E<\/span><\/mi>I<\/span><\/mi>(<\/span><\/mo>S<\/span><\/mi>M<\/sub><\/span><\/mi><\/msub>)<\/span><\/mo><\/mrow>><\/span><\/mo>E<\/span><\/mi>I<\/span><\/mi>(<\/span><\/mo>S<\/span><\/mi>m<\/sub><\/span><\/mi><\/msub>)<\/span><\/mo><\/mrow><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\uff09\uff0c\u90a3\u4e48\u8ba4\u4e3a\u5728\u8be5\u7c97\u7c92\u5316\u57fa\u7840\u4e0a\u5b8f\u89c2\u52a8\u529b\u5b66\u5177\u6709\u56e0\u679c\u6d8c\u73b0\u7279\u6027\u3002<\/span><\/section>\n

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\u5173\u4e8e Erik Hoel \u7b49\u4eba\u7684\u7ecf\u5178\u8bba\u6587\uff0c\u8bf7\u53c2\u770b\u5168\u6587\u7ffb\u8bd1\u300a\u91cf\u5316\u56e0\u679c\u6d8c\u73b0\u8868\u660e\uff1a\u5b8f\u89c2\u53ef\u4ee5\u6218\u80dc\u5fae\u89c2<\/a>\u300b<\/span><\/section>\n

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\u5173\u4e8e\u56e0\u679c\u6d8c\u73b0\u7684\u57fa\u7840\u7406\u8bba\uff0c\u53ef\u4ee5\u89c2\u770b\u56e0\u679c\u6d8c\u73b0\u8bfb\u4e66\u4f1a\u7684\u5206\u4eab\uff1a<\/span><\/section>\n

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\u56e0\u679c\u6d8c\u73b0\u7406\u8bba\u63d0\u51fa\u8005\uff1aErik Hoel \u4e3b\u9898\u62a5\u544a<\/span><\/strong><\/section>\n
https:\/\/pattern.swarma.org\/study_group_issue\/193<\/span><\/section>\n


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\u7ae0\u5f66\u535a\uff1a\u56e0\u679c\u6d8c\u73b0\u7684\u7406\u8bba<\/p>\n

https:\/\/pattern.swarma.org\/study_group_issue\/3<\/p>\n

\u5cb3\u7389\u6d9b\uff1a\u91cf\u5316\u56e0\u679c\u6d8c\u73b0\uff1a\u5f53\u5730\u56fe\u4f18\u4e8e\u7586\u57df<\/p>\n

https:\/\/pattern.swarma.org\/study_group_issue\/79<\/p>\n<\/section>\n<\/blockquote>\n


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3.2.2 \u4fe1\u606f\u5206\u89e3\u65b9\u6cd5<\/span><\/strong><\/h4>\n

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Hoel \u63d0\u51fa\u7684\u57fa\u4e8e\u7c97\u7c92\u5316\u7684\u65b9\u6cd5\u6765\u91cf\u5316\u7cfb\u7edf\u4e2d\u7684\u56e0\u679c\u6d8c\u73b0\u9700\u8981\u9884\u5148\u63d0\u4f9b\u7cfb\u7edf\u7684\u72b6\u6001\u8f6c\u79fb\u77e9\u9635\u4ee5\u53ca\u7c97\u7c92\u5316\u7b56\u7565\uff0c\u7136\u800c\u73b0\u5b9e\u60c5\u51b5\u662f\uff0c\u5f80\u5f80\u53ea\u80fd\u83b7\u5f97\u7cfb\u7edf\u7684\u89c2\u6d4b\u6570\u636e\u3002\u4e3a\u4e86\u514b\u670d\u8fd9\u4e24\u4e2a\u56f0\u96be\uff0cRosas\u7b49[16]\u4ece\u4fe1\u606f\u7406\u8bba\u89c6\u89d2\u51fa\u53d1\uff0c\u63d0\u51fa\u4e00\u79cd\u57fa\u4e8e\u4fe1\u606f\u5206\u89e3\u7684\u65b9\u6cd5\u6765\u5b9a\u4e49\u7cfb\u7edf\u4e2d\u7684\u56e0\u679c\u6d8c\u73b0\uff0c\u8fd9\u91cc\u53d1\u751f\u56e0\u679c\u6d8c\u73b0\u6709\u4e24\u79cd\u53ef\u80fd\u6027\uff1a\u56e0\u679c\u89e3\u8026<\/span>\uff08Causal Decoupling\uff09<\/span>\u548c\u5411\u4e0b\u56e0\u679c<\/span>\uff08Downward Causation\uff09<\/span>\uff0c\u5176\u4e2d\u56e0\u679c\u89e3\u8026<\/strong>\u8868\u793a\u5b8f\u89c2\u6001\u5bf9\u5176\u4ed6\u5b8f\u89c2\u6001\u7684\u56e0\u679c\u6548\u5e94\uff0c\u5411\u4e0b\u56e0\u679c<\/strong>\u8868\u793a\u5b8f\u89c2\u6001\u5bf9\u4e8e\u5fae\u89c2\u5143\u7d20\u7684\u56e0\u679c\u6548\u5e94\u3002<\/span><\/section>\n

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\u5177\u4f53\u5730\uff0c\u5b9a\u4e49\u5fae\u89c2\u72b6\u6001\u8f93\u5165\u4e3a<\/sub><\/span>\uff0c<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>V<\/span><\/mi>t<\/sub><\/span><\/mi><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u8868\u793a\u5b8f\u89c2\u72b6\u6001\u662f<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>X<\/span><\/mi>t<\/sub><\/span><\/mi><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u7684\u968f\u9644\u7279\u5f81\uff0c<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mn><\/mjx-texatom><\/mjx-script><\/mjx-msub><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>X<\/span><\/mi>t+1<\/sub><\/span><\/mn><\/mrow><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u548c<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mn><\/mjx-texatom><\/mjx-script><\/mjx-msub><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>V<\/span><\/mi>t+1<\/sub><\/span><\/mn><\/mrow><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u5206\u522b\u8868\u793a\u4e0b\u4e00\u65f6\u523b\u7684\u5fae\u89c2\u548c\u5b8f\u89c2\u72b6\u6001\u3002\u8be5\u65b9\u6cd5\u5efa\u7acb\u5728Willian\u548cBeer\u7b49[18]\u63d0\u51fa\u7684\u591a\u5143\u4fe1\u606f\u975e\u8d1f\u5206\u89e3\u7684\u57fa\u7840\u4e0a\uff0cBeer\u4f7f\u7528\u90e8\u5206\u4fe1\u606f\u5206\u89e3<\/span>\uff08PID\uff09<\/span>\u5c06\u5fae\u89c2\u6001<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mn><\/mjx-script><\/mjx-msup><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mn><\/mjx-script><\/mjx-msup><\/mjx-c><\/mjx-mo><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>X<\/span><\/mi>(<\/span><\/mo>X<\/span><\/mi>1<\/span><\/sup><\/span><\/mn><\/msup>,<\/span><\/mo>X<\/span><\/mi>2<\/span><\/sup><\/span><\/mn><\/msup>)<\/span><\/mo><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u4e0e\u5b8f\u89c2\u6001<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>V<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u4e4b\u95f4\u7684\u4e92\u4fe1\u606f\u5206\u89e3\u4e3a\u56db\u4e2a\u90e8\u5206\uff0c\u8ba1\u7b97\u516c\u5f0f\u5982\u4e0b\u6240\u793a\uff1a<\/span><\/section>\n

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\u5176\u4e2d<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mn><\/mjx-script><\/mjx-msup><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mn><\/mjx-script><\/mjx-msup><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>R<\/span><\/mi>e<\/span><\/mi>d<\/span><\/mi>(<\/span><\/mo>X<\/mi>1<\/span><\/sup><\/span><\/mn><\/span><\/mn><\/msup>,<\/span><\/mo>X<\/span><\/mi>2<\/span><\/sup><\/span><\/mn><\/span><\/mn><\/msup>;<\/span><\/mo>V<\/span><\/mi>)<\/span><\/mo><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u8868\u793a\u5197\u4f59\u4fe1\u606f\uff0c\u662f\u6307\u4e24\u4e2a\u5fae\u89c2\u6001<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mn><\/mjx-script><\/mjx-msup><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>X<\/span><\/mi>1<\/span><\/sup><\/span><\/mn><\/span><\/mn><\/msup><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u548c<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mn><\/mjx-script><\/mjx-msup><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>X<\/span><\/mi>2<\/span><\/sup><\/span><\/mn><\/span><\/mn><\/msup><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u540c\u65f6\u7ed9\u5b8f\u89c2\u6001<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>V<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u63d0\u4f9b\u7684\u4fe1\u606f\uff1b<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mn><\/mjx-script><\/mjx-msup><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi>\u2502<\/span><\/mjx-utext><\/mjx-mo><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mn><\/mjx-script><\/mjx-msup><\/mjx-c><\/mjx-mo><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>U<\/span><\/mi>n<\/span><\/mi>(<\/span><\/mo>X<\/span><\/mi>1<\/span><\/sup><\/span><\/mn><\/span><\/mn><\/msup>;<\/span><\/mo>V<\/span><\/mi>\u2502<\/span><\/mo><\/mrow>X<\/span><\/mi>2<\/span><\/sup><\/span><\/mn><\/span><\/mn><\/msup>)<\/span><\/mo><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u548c<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mn><\/mjx-script><\/mjx-msup><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi>\u2502<\/span><\/mjx-utext><\/mjx-mo><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mn><\/mjx-script><\/mjx-msup><\/mjx-c><\/mjx-mo><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>U<\/span><\/mi>n<\/span><\/mi>(<\/span><\/mo>X<\/span><\/mi>2<\/span><\/sup><\/span><\/mn><\/span><\/mn><\/msup>;<\/span><\/mo>V<\/span><\/mi>\u2502<\/span><\/mo><\/mrow>X<\/span><\/mi>1<\/span><\/sup><\/span><\/mn><\/span><\/mn><\/msup>)<\/span><\/mo><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u8868\u793a\u7279\u6709\u4fe1\u606f\uff0c\u662f\u6307\u6bcf\u4e00\u4e2a\u5fae\u89c2\u6001\u5355\u72ec\u7ed9\u5b8f\u89c2\u6001\u63d0\u4f9b\u7684\u4fe1\u606f\uff1b<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mn><\/mjx-script><\/mjx-msup><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mn><\/mjx-script><\/mjx-msup><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>S<\/span><\/mi>y<\/span><\/mi>n<\/span><\/mi>(<\/span><\/mo>X<\/span><\/mi>1<\/span><\/sup><\/span><\/mn><\/span><\/mn><\/msup>,<\/span><\/mo>X<\/span><\/mi>2<\/span><\/sup><\/span><\/mn><\/span><\/mn><\/msup>;<\/span><\/mo>V<\/span><\/mi>)<\/span><\/mo><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u8868\u793a\u534f\u540c\u4fe1\u606f\uff0c\u662f\u6307\u6240\u6709\u5fae\u89c2\u6001<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>X<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u8054\u5408\u7ed9\u5b8f\u89c2\u6001<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>V<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u63d0\u4f9b\u7684\u8d85\u8fc7\u5404\u81ea\u7ed9\u5b8f\u89c2\u6001\u63d0\u4f9b\u7684\u4fe1\u606f\u3002<\/span><\/section>\n

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\u7136\u800c\uff0cPID\u6846\u67b6\u53ea\u80fd\u5206\u89e3\u5173\u4e8e\u591a\u4e2a\u539f\u53d8\u91cf\u548c\u4e00\u4e2a\u76ee\u6807\u53d8\u91cf\u4e4b\u95f4\u7684\u4e92\u4fe1\u606f\uff0cRosas\u6269\u5c55\u4e86\u8be5\u6846\u67b6\uff0c\u63d0\u51fa\u6574\u5408\u4fe1\u606f\u5206\u89e3\u65b9\u6cd5<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>\u03c6<\/span><\/mi>I<\/span><\/mi>D<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>[19]\u6765\u5904\u7406\u591a\u4e2a\u539f\u53d8\u91cf\u548c\u591a\u4e2a\u76ee\u6807\u53d8\u91cf\u4e4b\u95f4\u7684\u4e92\u4fe1\u606f\uff0c\u53ef\u4ee5\u7528\u6765\u5206\u89e3\u4e0d\u540c\u65f6\u523b\u95f4\u7684\u4e92\u4fe1\u606f\uff0c\u4f5c\u8005\u57fa\u4e8e\u5206\u89e3\u540e\u7684\u4fe1\u606f\u63d0\u51fa\u4e86\u4e24\u79cd\u56e0\u679c\u6d8c\u73b0\u7684\u5b9a\u4e49\u65b9\u6cd5\uff1a<\/span><\/section>\n

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1\uff09\u5f53\u7279\u6709\u4fe1\u606f<\/sub><\/span>\uff0c\u8868\u793a\u5f53\u524d\u65f6\u523b\u7684\u5b8f\u89c2\u6001<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>V<\/span><\/mi>t<\/sub><\/span><\/mi><\/span><\/mi><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u80fd\u8d85\u8fc7\u5f53\u524d\u65f6\u523b\u7684\u5fae\u89c2\u6001<\/span>X<\/mi>t<\/sub><\/span><\/mn><\/mrow><\/span><\/mi><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u7ed9\u4e0b\u4e00\u65f6\u523b\u7684\u6574\u4f53\u7cfb\u7edf<\/span>X<\/mi>t+1<\/sub><\/span><\/mn><\/mrow><\/span><\/mn><\/mrow><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u518d\u591a\u63d0\u4f9b\u4e00\u4e9b\u4fe1\u606f\uff0c\u5b58\u5728\u56e0\u679c\u6d8c\u73b0\uff1b<\/span><\/section>\n

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2\uff09\u7ed5\u5f00\u4e86\u9009\u62e9\u7279\u5b9a\u7684\u5b8f\u89c2\u6001<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>V<\/span><\/mi>t<\/sub><\/span><\/mi><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\uff0c\u4ec5\u4ec5\u57fa\u4e8e\u7cfb\u7edf\u5f53\u524d\u65f6\u523b\u7684\u5fae\u89c2\u6001<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>X<\/span><\/mi>t<\/sub><\/span><\/mi><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u548c\u4e0b\u4e00\u65f6\u523b\u7684\u5fae\u89c2\u6001<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mn><\/mjx-texatom><\/mjx-script><\/mjx-msub><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>X<\/span><\/mi>t+1<\/sub><\/span><\/mn><\/mrow><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u4e4b\u95f4\u7684\u534f\u540c\u4fe1\u606f\u5b9a\u4e49\u56e0\u679c\u6d8c\u73b0\uff0c\u5f53\u534f\u540c\u4fe1\u606f<\/sub><\/span>\uff0c\u7cfb\u7edf\u53d1\u751f\u4e86\u56e0\u679c\u6d8c\u73b0\u3002\u5176\u4e2d<\/span><\/sub><\/span><\/mo><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u8861\u6210\u7acb\u3002<\/span><\/section>\n

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\u503c\u5f97\u6ce8\u610f\u7684\u662f\uff0c\u5bf9\u4e8e\u65b9\u6cd5\u4e00\u5224\u65ad\u56e0\u679c\u6d8c\u73b0\u7684\u53d1\u751f\u9700\u8981\u4f9d\u8d56\u5b8f\u89c2\u6001<\/span>V<\/span><\/mi>t<\/sub><\/span><\/mi><\/span><\/mi><\/span><\/mi><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u7684\u9009\u62e9\uff0c\u7136\u800cV<\/span><\/mi>t<\/sub><\/span><\/mi><\/span><\/mi><\/span>\u7684\u9009\u62e9\u53c8\u662f\u5f88\u56f0\u96be\u7684\uff0c\u56e0\u6b64\u8be5\u65b9\u6cd5\u4e0d\u53ef\u884c\u3002\u4e00\u79cd\u81ea\u7136\u7684\u60f3\u6cd5\u5c31\u662f\u4f7f\u7528\u7b2c\u4e8c\u79cd\u65b9\u6cd5\u501f\u52a9\u534f\u540c\u4fe1\u606f\u6765\u5224\u65ad\u56e0\u679c\u6d8c\u73b0\u7684\u53d1\u751f\uff0c\u4f46\u662f\u7531\u4e8e\u5197\u4f59\u4fe1\u606f\u5b58\u5728\u8ba1\u7b97\u7684\u95ee\u9898\uff0c\u800c\u534f\u540c\u4fe1\u606f\u7684\u8ba1\u7b97\u53c8\u4f9d\u8d56\u5197\u4f59\u4fe1\u606f\u3002\u56e0\u6b64\uff0c\u7b2c\u4e8c\u79cd\u65b9\u6cd5\u57fa\u4e8e\u534f\u540c\u4fe1\u606f\u7684\u8ba1\u7b97\u5f80\u5f80\u4e5f\u662f\u4e0d\u53ef\u884c\u7684\u3002\u603b\u4e4b\uff0c\u8fd9\u4e24\u79cd\u56e0\u679c\u6d8c\u73b0\u7684\u5b9a\u91cf\u523b\u753b\u65b9\u6cd5\u90fd\u5b58\u5728\u4e00\u4e9b\u7f3a\u70b9\uff0c\u56e0\u6b64\uff0c\u66f4\u52a0\u5408\u7406\u7684\u91cf\u5316\u65b9\u6cd5\u6709\u5f85\u63d0\u51fa\u3002<\/span><\/section>\n

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\u5bf9Willian\u548cBeer<\/span><\/span><\/a>\u7684\u8bba\u6587\u201cNonnegative Decomposition of Multivariate Information\u201d\u7684\u89e3\u8bfb\uff0c\u53c2\u770b\u300a<\/span>\u4e92\u4fe1\u606f\u7684\u201c\u5fae\u79ef\u5206\u201d<\/span><\/a>\u300b\uff1b<\/span><\/section>\n

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\u4e5f\u53ef\u4ee5\u8fdb\u4e00\u6b65\u89c2\u770b\u5f20\u7ae0\u5728\u8bfb\u4e66\u4f1a\u7684\u89e3\u8bfb\uff1a<\/span><\/section>\n
\u4fe1\u606f\u5206\u89e3\u65b9\u6cd5\u53ca\u5176\u5728\u590d\u6742\u7cfb\u7edf\u4e2d\u7684\u5e94\u7528<\/span><\/section>\n
https:\/\/pattern.swarma.org\/study_group_issue\/227<\/span><\/section>\n

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\u5bf9 Rosas \u7b49\u4eba\u7684\u8bba\u6587\u7684\u5168\u6587\u7ffb\u8bd1\uff0c\u53c2\u770b\u300a<\/span>\u91cf\u5316\u6d8c\u73b0\uff1a\u4fe1\u606f\u8bba\u65b9\u6cd5\u8bc6\u522b\u591a\u53d8\u91cf\u6570\u636e\u4e2d\u7684\u56e0\u679c\u6d8c\u73b0<\/a>\u300b\uff1b<\/span><\/section>\n
\u4e5f\u53ef\u4ee5\u8fdb\u4e00\u6b65\u89c2\u770b\u5415\u5965\u535a\u548c\u9093\u6b27\u5728\u8bfb\u4e66\u4f1a\u7684\u89e3\u8bfb\uff1a<\/span><\/section>\n
https:\/\/pattern.swarma.org\/study_group_issue\/239<\/span><\/section>\n<\/section>\n<\/section>\n<\/blockquote>\n

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3.3 \u56e0\u679c\u6d8c\u73b0\u7684\u8bc6\u522b<\/strong><\/span><\/h3>\n

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\u524d\u9762\u5df2\u7ecf\u4ecb\u7ecd\u4e86\u4e00\u4e9b\u901a\u8fc7\u56e0\u679c\u5173\u7cfb\u548c\u5176\u4ed6\u4fe1\u606f\u7406\u8bba\u6982\u5ff5\u6765\u91cf\u5316\u6d8c\u73b0\u7684\u5de5\u4f5c\u3002\u7136\u800c\uff0c\u5728\u5b9e\u9645\u5e94\u7528\u4e2d\uff0c\u5f80\u5f80\u53ea\u80fd\u6536\u96c6\u5230\u89c2\u6d4b\u6570\u636e\uff0c\u65e0\u6cd5\u5f97\u5230\u7cfb\u7edf\u7684\u771f\u5b9e\u52a8\u529b\u5b66\u3002\u56e0\u6b64\uff0c\u4ece\u53ef\u89c2\u6d4b\u6570\u636e\u4e2d\u8fa8\u522b\u7cfb\u7edf\u4e2d\u56e0\u679c\u6d8c\u73b0\u7684\u53d1\u751f\u662f\u4e00\u4e2a\u66f4\u4e3a\u91cd\u8981\u7684\u95ee\u9898\u3002\u6b64\u5916\uff0c\u5728\u56e0\u679c\u6d8c\u73b0\u7684\u8bc6\u522b\u95ee\u9898\u4e2d\u5f80\u5f80\u5e0c\u671b\u5bfb\u627e\u4e00\u4e2a\u6700\u4f18\u7684\u5b8f\u89c2\u5c3a\u5ea6\uff0c\u4f7f\u5176\u6709\u6548\u4fe1\u606f\u8fbe\u5230\u6700\u5927\u503c\uff0c\u6b64\u65f6\u7684\u7cfb\u7edf\u5177\u6709\u6700\u5927\u56e0\u679c\u529b\uff0c\u5e76\u4e14\u80fd\u4ee5\u6700\u53ef\u9760\u3001\u6700\u6709\u6548\u7684\u65b9\u5f0f\u9884\u6d4b\u672a\u6765\u7684\u72b6\u6001\u3002\u4e0b\u9762\u4ecb\u7ecd\u4e24\u79cd\u56e0\u679c\u6d8c\u73b0\u7684\u8bc6\u522b\u65b9\u6cd5\uff0c\u5305\u62ec\u57fa\u4e8e\u4fe1\u606f\u5206\u89e3\u548c\u795e\u7ecf\u4fe1\u606f\u538b\u7f29\u65b9\u6cd5\u3002<\/span><\/section>\n

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3.3.1 \u4fe1\u606f\u5206\u89e3\u65b9\u6cd5<\/span><\/strong><\/h4>\n

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Rosas\u867d\u7136\u7ed9\u51fa\u56e0\u679c\u6d8c\u73b0\u7684\u4e25\u683c\u5b9a\u4e49\uff0c\u4f46\u5728<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>\u03c6<\/span><\/mi>I<\/span><\/mi>D<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u4e2d\u4f7f\u7528\u7684\u6570\u5b66\u516c\u5f0f\u5f88\u590d\u6742\uff0c\u540c\u65f6\u8ba1\u7b97\u8981\u6c42\u5f88\u9ad8\uff0c\u96be\u4ee5\u5c06\u8be5\u65b9\u6cd5\u5e94\u7528\u4e8e\u5b9e\u9645\u7cfb\u7edf\u3002\u56e0\u6b64\uff0cRosas\u7b49\u7ed5\u5f00\u7279\u6709\u4fe1\u606f\u548c\u534f\u540c\u4fe1\u606f\u7684\u8ba1\u7b97[16]\uff0c\u63d0\u51fa\u4e00\u4e2a\u5224\u5b9a\u56e0\u679c\u6d8c\u73b0\u53d1\u751f\u7684\u5145\u5206\u6761\u4ef6\uff0c\u57fa\u4e8e\u4e92\u4fe1\u606f\u63d0\u51fa\u4e09\u4e2a\u65b0\u6307\u6807\uff0c<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>\u03a8<\/span><\/mi><\/mrow><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> ,<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>\u0394<\/span><\/mi><\/mrow><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> \u548c<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>\u0393<\/span><\/mi><\/mrow><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u7528\u4e8e\u8bc6\u522b\u7cfb\u7edf\u4e2d\u7684\u56e0\u679c\u6d8c\u73b0\uff0c\u4e09\u79cd\u6307\u6807\u7684\u5177\u4f53\u8ba1\u7b97\u516c\u5f0f\u5982\u4e0b\u6240\u793a\uff1a<\/span><\/section>\n

<\/span><\/section>\n
<\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mn><\/mjx-texatom><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mn><\/mjx-texatom><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-mrow><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mo><\/mjx-base><\/mjx-row><\/mjx-c><\/mjx-mi><\/mjx-under><\/mjx-row><\/mjx-munder><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-spacer><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msubsup><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mn><\/mjx-texatom><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-mrow><\/mjx-texatom><\/mjx-mstyle><\/mjx-math><\/mi><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container><\/section>\n
<\/section>\n
<\/mo><\/mrow><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container><\/section>\n
\u5f53<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mn><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>\u03a8<\/span><\/mi><\/mrow>><\/span><\/mo>0<\/span><\/mn><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u65f6\uff0c\u5b8f\u89c2\u72b6\u6001\u4f1a\u53d1\u751f\u6d8c\u73b0\uff0c\u4f46\u662f\u5f53<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mn><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>\u03a8<\/span><\/mi><\/mrow><<\/span><\/mo>0<\/span><\/mn><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\uff0c\u6211\u4eec\u4e0d\u80fd\u786e\u5b9a<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>V<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u662f\u5426\u53d1\u751f\u6d8c\u73b0\u3002<\/span><\/section>\n

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\u5f53<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mn><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>\u0394<\/span><\/mi><\/mrow>><\/span><\/mo>0<\/span><\/mn><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u65f6\uff0c\u5b8f\u89c2\u72b6\u6001<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>V<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u53d1\u751f\u5411\u4e0b\u56e0\u679c\u3002<\/span><\/section>\n

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<\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mn><\/mjx-texatom><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-c><\/mjx-c><\/mjx-mo><\/mjx-base><\/mjx-row><\/mjx-c><\/mjx-mi><\/mjx-under><\/mjx-row><\/mjx-munder><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-spacer><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mn><\/mjx-texatom><\/mjx-script><\/mjx-msubsup><\/mjx-c><\/mjx-mo><\/mjx-mrow><\/mjx-texatom><\/mjx-mstyle><\/mjx-math><\/mi><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container><\/section>\n

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<\/mo><\/mrow><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container><\/section>\n
\u5f53<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mn><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>\u0394<\/span><\/mi><\/mrow>><\/span><\/mo>0<\/span><\/mn><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u4e14<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mn><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>\u0393<\/span><\/mi><\/mrow>=<\/span><\/mo>0<\/span><\/mn><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u65f6\uff0c\u5b8f\u89c2\u72b6\u6001<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>V<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u53d1\u751f\u56e0\u679c\u6d8c\u73b0\u4e14\u53d1\u751f\u56e0\u679c\u89e3\u8026\u3002<\/span><\/section>\n

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\u8be5\u65b9\u6cd5\u907f\u5f00\u8ba8\u8bba\u7c97\u7c92\u5316\u7b56\u7565\u3002\u4f46\u662f\u4e5f\u5b58\u5728\u5f88\u591a\u7f3a\u70b9\uff1a1\uff09\u8be5\u65b9\u6cd5\u63d0\u51fa\u7684\u4e09\u4e2a\u6307\u6807 \uff0c<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>\u03a8<\/span><\/mi><\/mrow><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> ,<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>\u0394<\/span><\/mi><\/mrow><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> \u548c<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>\u0393<\/span><\/mi><\/mrow><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u53ea\u662f\u57fa\u4e8e\u4e92\u4fe1\u606f\u8ba1\u7b97\u6ca1\u6709\u8003\u8651\u56e0\u679c\uff0c\u540c\u65f6\u8be5\u65b9\u6cd5\u5f97\u5230\u7684\u4ec5\u4ec5\u662f\u53d1\u751f\u56e0\u679c\u6d8c\u73b0\u7684\u5145\u5206\u6761\u4ef6\uff1b2\uff09\u8be5\u65b9\u6cd5\u65e0\u6cd5\u5f97\u5230\u663e\u5f0f\u7684\u5b8f\u89c2\u52a8\u529b\u5b66\u4ee5\u53ca\u7c97\u7c92\u5316\u7b56\u7565\uff0c\u7136\u800c\u8fd9\u4e24\u9879\u5bf9\u4e8e\u4e0b\u6e38\u7684\u4efb\u52a1\u5f80\u5f80\u5341\u5206\u91cd\u8981\uff1b3\uff09\u5f53\u7cfb\u7edf\u5177\u6709\u5927\u91cf\u5197\u4f59\u4fe1\u606f\u6216\u5177\u6709\u8bb8\u591a\u53d8\u91cf\u65f6\uff0c\u8be5\u65b9\u6cd5\u7684\u8ba1\u7b97\u590d\u6742\u5ea6\u4ecd\u7136\u5f88\u9ad8\u3002\u56e0\u6b64\uff0c\u8be5\u65b9\u6cd5\u4e0d\u662f\u4e00\u79cd\u6700\u4f18\u7684\u65b9\u6cd5\uff0c\u57fa\u4e8e\u6570\u636e\u9a71\u52a8\u7684\u795e\u7ecf\u4fe1\u606f\u538b\u7f29\u65b9\u6cd5\u5e94\u8fd0\u800c\u751f\u3002<\/span><\/section>\n


<\/h4>\n

3.3.2 \u795e\u7ecf\u4fe1\u606f\u538b\u7f29\u65b9\u6cd5<\/span><\/strong><\/h4>\n

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\u5728\u8be5\u5de5\u4f5c\u4e2d\uff0c\u8f93\u5165\u7684\u662f\u65f6\u95f4\u5e8f\u5217\u6570\u636e<\/span><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mn><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mn><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>(<\/span><\/mo>X<\/span><\/mi>1<\/sub><\/span><\/mn><\/msub>,<\/span><\/mo>X<\/span><\/mi>2<\/sub><\/span><\/mn><\/msub>,<\/span><\/mo>.<\/span><\/mo>.<\/span><\/mo>.<\/span><\/mo>,<\/span><\/mo>X<\/span><\/mi>T<\/sub><\/span><\/mi><\/msub>)<\/span><\/mo><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\uff0c\u53ef\u4ee5\u4f7f\u7528\u5982\u4e0b\u7684\u5fae\u65b9\u65b9\u7a0b\u8868\u793a\uff1a<\/span><\/section>\n

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<\/mo><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container><\/section>\n

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\u5176\u4e2d<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>\u03be<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u8868\u793a\u7cfb\u7edf\u4e2d\u7684\u566a\u97f3\u3002<\/span><\/section>\n

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\u4e3a\u4e86\u8bc6\u522b\u7cfb\u7edf\u4e2d\u7684\u56e0\u679c\u6d8c\u73b0\uff0c\u4f5c\u8005\u63d0\u51fa\u4e00\u79cd\u795e\u7ecf\u4fe1\u606f\u538b\u7f29\u65b9\u6cd5\uff0c\u6784\u5efaEncoder-Dynamic Learning-Decoder\u6846\u67b6\uff0c\u8be5\u6a21\u578b\u7531\u7f16\u7801\u5668\u3001\u52a8\u529b\u5b66\u5b66\u4e60\u5668\u4ee5\u53ca\u89e3\u7801\u5668\u4e09\u4e2a\u90e8\u5206\u6784\u6210\uff0c\u7528\u795e\u7ecf\u7f51\u7edc\u6784\u5efa\u52a8\u529b\u5b66\u5b66\u4e60\u5668\uff08<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>f<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\uff09\uff0c\u7528\u53ef\u9006\u795e\u7ecf\u7f51\u7edc<\/span>\uff08INN\uff09<\/span>\u6784\u5efa\u7f16\u7801\u5668<\/span>\uff08Encoder\uff09<\/span>\u548c\u89e3\u7801\u5668<\/span>\uff08Decoder\uff09<\/span>\u3002\u8be5\u6a21\u578b\u6846\u67b6\u53ef\u4ee5\u770b\u6210\u662f\u4e00\u4e2a\u795e\u7ecf\u4fe1\u606f\u538b\u7f29\u5668<\/strong>\uff08Neural Information Squeezer\uff0cNIS\uff09<\/span>\uff0c\u5c06\u5305\u542b\u566a\u97f3\u7684\u5fae\u89c2\u6001\u538b\u7f29\u6210\u5b8f\u89c2\u6001\uff0c\u4e22\u5f03\u65e0\u7528\u7684\u4fe1\u606f\uff0c\u4ece\u800c\u4f7f\u5f97\u5b8f\u89c2\u52a8\u529b\u5b66\u7684\u56e0\u679c\u6027\u66f4\u5f3a<\/strong>\u3002NIS\u65b9\u6cd5\u7684\u6a21\u578b\u6846\u67b6\u5982\u56fe\u6240\u793a\u3002<\/span><\/section>\n

<\/span><\/section>\n
<\/section>\n
NIS \u6a21\u578b\u6846\u67b6\u56fe<\/span><\/section>\n

<\/section>\n
\u5177\u4f53\u6765\u8bf4\uff0c\u6a21\u578b\u8f93\u5165\u662f\u5fae\u89c2\u72b6\u6001<\/sub><\/span>\uff0c<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>p<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u8868\u793a\u8f93\u5165\u6570\u636e\u7684\u7ef4\u6570\uff0c\u8f93\u51fa\u9884\u6d4b\u4e0b\u4e00\u4e2a\u65f6\u523b\u7684\u5fae\u89c2\u72b6\u6001<\/sub><\/span>\uff0c\u8be5\u65b9\u6cd5\u7684\u76ee\u6807\u51fd\u6570\u662f\u5e0c\u671b\u4fdd\u8bc1\u5fae\u89c2\u72b6\u6001\u9884\u6d4b\u8bef\u5dee\u5f88\u5c0f\u7684\u6761\u4ef6\u4e0b\u6700\u5927\u5316\u6709\u6548\u4fe1\u606f\uff0c\u5728\u4fdd\u8bc1\u9884\u6d4b\u8bef\u5dee\u7ea6\u675f\u8db3\u591f\u5c0f\u7684\u60c5\u51b5\u4e0b\uff0cNIS\u65b9\u6cd5\u53ef\u4ee5\u907f\u514dtrivial\u89e3\u7684\u51fa\u73b0\u3002\u5177\u4f53\u8ba1\u7b97\u516c\u5f0f\u5982\u4e0b\u6240\u793a\uff1a<\/span><\/section>\n

<\/section>\n

<\/p>\n


<\/section>\n
\u6700\u7ec8\u5e0c\u671b\u5f97\u5230\u6709\u6548\u7684\u7c97\u7c92\u5316\u7ef4\u5ea6<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>q<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u3001\u7c97\u7c92\u5316\u7b56\u7565<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>\u03a6<\/span><\/mi><\/mrow>q<\/span><\/mi><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u548c\u5b8f\u89c2\u52a8\u529b\u5b66<\/span><\/sub><\/span><\/mi><\/msub><\/mrow><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\uff0c\u7136\u800c\u7531\u4e8e\u8be5\u76ee\u6807\u51fd\u6570\u662f\u4e00\u4e2a\u6cdb\u51fd\u4f18\u5316\u95ee\u9898\uff0c\u5f80\u5f80\u5f88\u96be\u4f18\u5316\u3002\u4e3a\u4e86\u89e3\u51b3\u8fd9\u4e2a\u95ee\u9898\uff0c\u4f5c\u8005\u5c06\u4f18\u5316\u8fc7\u7a0b\u5206\u4e3a\u4e24\u4e2a\u9636\u6bb5\uff0c\u7b2c\u4e00\u4e2a\u9636\u6bb5\u8868\u793a\u5728\u7ed9\u5b9a\u5b8f\u89c2\u5c3a\u5ea6<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>q<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u7684\u60c5\u51b5\u4e0b<\/sub><\/span>\uff0c\u7b2c\u4e8c\u9636\u6bb5\u5c06\u590d\u6742\u7684\u51fd\u6570\u4f18\u5316\u95ee\u9898\u8f6c\u6362\u6210\u7ebf\u6027\u641c\u7d22\u4e0d\u540c\u7684<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>q<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\uff0c\u4f7f\u5f97\u627e\u5230\u6709\u6548\u4fe1\u606f\u6700\u5927\u7684\u5b8f\u89c2\u5c3a\u5ea6<\/span><\/sub><\/span><\/mo><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u3002<\/span><\/section>\n

<\/span><\/section>\n
\u9664\u4e86\u80fd\u57fa\u4e8e\u65f6\u5e8f\u6570\u636e\u81ea\u52a8\u8bc6\u522b\u56e0\u679c\u6d8c\u73b0\uff0c\u8be5\u6846\u67b6\u8fd8\u6709\u5f88\u597d\u7684\u7406\u8bba\u8bc1\u660e\uff0c\u5176\u4e2d\u6709\u4e24\u4e2a\u91cd\u8981\u5b9a\u7406\uff0c\u5b9a\u7406\u4e00\uff1a\u795e\u7ecf\u4fe1\u606f\u538b\u7f29\u5668\u7684\u4fe1\u606f\u74f6\u9888\uff0c\u5373\u5bf9\u4e8e\u4efb\u610f\u7684\u53cc\u5c04<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>\u03a8<\/span><\/mi><\/mrow><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u03b1<\/span><\/sub><\/span><\/mi><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u3001\u6295\u5f71<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>\u03c7<\/span><\/mi>q<\/sub><\/span><\/mi><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u3001\u5b8f\u89c2\u52a8\u529b\u5b66<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>f<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u4ee5\u53ca\u9ad8\u65af\u566a\u97f3<\/sub><\/span>\u6052\u6210\u7acb\uff0c\u8fd9\u610f\u5473\u7740\uff0c\u7f16\u7801\u5668\u4e22\u5f03\u7684\u6240\u6709\u4fe1\u606f\u5b9e\u9645\u4e0a\u90fd\u662f\u4e0e\u9884\u6d4b\u65e0\u5173\u7684\u7eaf\u7cb9\u566a\u58f0\uff1b\u5b9a\u7406\u4e8c\uff1a\u5bf9\u4e8e\u4e00\u4e2a\u8bad\u7ec3\u597d\u7684\u6a21\u578b\uff0c<\/sub><\/span>\u3002\u56e0\u6b64\uff0c\u7efc\u5408\u5b9a\u7406\u4e00\u548c\u5b9a\u7406\u4e8c\uff0c\u53ef\u4ee5\u5f97\u5230\u5bf9\u4e8e\u4e00\u4e2a\u8bad\u7ec3\u597d\u7684\u6a21\u578b<\/span><\/sub><\/span><\/mo><\/mrow><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u3002<\/span><\/section>\n

<\/section>\n
\u8be5\u5de5\u4f5c\u7684\u4e00\u4e2a\u91cd\u8981\u4f18\u70b9\u662f\uff0c\u8be5\u6846\u67b6\u80fd\u540c\u65f6\u5904\u7406\u79bb\u6563\u548c\u8fde\u7eed\u52a8\u529b\u5b66\u7cfb\u7edf<\/strong>\uff0c\u901a\u8fc7\u5c06\u795e\u7ecf\u7f51\u7edc\u770b\u4f5c\u662f\u7ed9\u5b9a\u8f93\u5165\u6761\u4ef6\u4e0b\u7684\u9ad8\u65af\u5206\u5e03<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-mrow><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>p<\/span><\/mi>(<\/span><\/mo>Y<\/span><\/mi>|<\/span><\/mo><\/mrow>X<\/span><\/mi>)<\/span><\/mo><\/mrow><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\uff0c\u53ef\u4ee5\u5b9a\u4e49\u65b0\u7684\u6709\u6548\u4fe1\u606f\u8ba1\u7b97\u516c\u5f0f\uff0c\u516c\u5f0f\u5982\u4e0b\u6240\u793a\uff1a<\/span><\/section>\n

<\/section>\n

<\/p>\n


<\/section>\n
\u5176\u4e2d<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-mrow><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msup><\/mjx-c><\/mjx-mo><\/mjx-mrow><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>U<\/span><\/mi>(<\/span><\/mo>[<\/span><\/mo>\u2212<\/span><\/mo>L<\/span><\/mi>,<\/span><\/mo>L<\/span><\/mi>]<\/span><\/mo><\/mrow>n<\/span><\/sup><\/span><\/mi><\/msup>)<\/span><\/mo><\/mrow><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u8868\u793a\u8303\u56f4\u5728<\/span><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-mrow><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>[<\/span><\/mo>\u2212<\/span><\/mo>L<\/span><\/mi>,<\/span><\/mo>L<\/span><\/mi>]<\/span><\/mo><\/mrow><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u4e0a\u7684<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>n<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u7ef4\u5747\u5300\u5206\u5e03\uff0c<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>\u03c3<\/span><\/mi>i<\/sub><\/span><\/mi><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u662f\u8f93\u51fa<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>Y<\/span><\/mi>i<\/sub><\/span><\/mi><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u7684\u6807\u51c6\u5dee\uff0c\u53ef\u4ee5\u901a\u8fc7<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>Y<\/span><\/mi>i<\/sub><\/span><\/mi><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u7684\u5747\u65b9\u8bef\u5dee\u6765\u4f30\u8ba1\uff0c<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>d<\/span><\/mi>e<\/span><\/mi>t<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u8868\u793a\u51fd\u6570<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>f<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u7684\u96c5\u53ef\u6bd4\u884c\u5217\u5f0f\u3002\u4e3a\u4e86\u6d88\u9664\u6709\u6548\u4fe1\u606f\u8ba1\u7b97\u516c\u5f0f\u4f1a\u53d7\u5230\u8f93\u5165\u7ef4\u5ea6\u7684\u5f71\u54cd\uff0c\u4f5c\u8005\u5b9a\u4e49\u4e86\u65b0\u7684\u6709\u6548\u4fe1\u606f\u8ba1\u7b97\u516c\u5f0f<\/span><\/sub><\/span><\/span>\uff0c\u5177\u4f53\u516c\u5f0f\u5982\u4e0b\u6240\u793a\uff1a<\/span><\/section>\n

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

<\/section>\n
NIS \u6846\u67b6\u4e0e\u524d\u9762\u7ae0\u8282\u4e2d\u63d0\u5230\u7684\u8ba1\u7b97\u529b\u5b66\u5b58\u5728\u5f88\u591a\u76f8\u4f3c\u4e4b\u5904\uff0cNIS\u53ef\u4ee5\u88ab\u89c6\u4e3a\u4e00\u79cd<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>\u03f5<\/span><\/mi>\u2212<\/span><\/mo>m<\/span><\/mi>a<\/span><\/mi>c<\/span><\/mi>h<\/span><\/mi>i<\/span><\/mi>n<\/span><\/mi>e<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\uff0c\u6240\u6709\u5386\u53f2\u8fc7\u7a0b\u6784\u6210\u7684\u96c6\u5408<\/span><\/sub><\/span><\/mo><\/mover><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container><\/span><\/mo><\/mover><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u53ef\u4ee5\u770b\u4f5c\u662f\u5fae\u89c2\u72b6\u6001\uff0c\u6240\u6709 <\/sub><\/span><\/span>\u8868\u793a\u5b8f\u89c2\u72b6\u6001\uff0c\u51fd\u6570<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>\u03b7<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u53ef\u4ee5\u7406\u89e3\u4e3a\u4e00\u79cd\u7c97\u7c92\u5316\u51fd\u6570\uff0c<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>\u03f5<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u53ef\u4ee5\u7406\u89e3\u4e3a\u4e00\u79cd\u6709\u6548\u7684\u7c97\u7c92\u5316\u7b56\u7565\uff0c<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>T<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> \u5bf9\u5e94\u4e8e\u6709\u6548\u7684\u5b8f\u89c2\u52a8\u529b\u5b66\u3002\u6700\u5c0f\u968f\u673a\u6027\u7279\u5f81\u8868\u5f81\u4e86\u5b8f\u89c2\u52a8\u529b\u5b66\u7684\u786e\u5b9a\u6027\uff0c\u5728\u56e0\u679c\u6d8c\u73b0\u4e2d\u53ef\u4ee5\u7528\u6709\u6548\u4fe1\u606f\u8861\u91cf\u3002\u5f53\u6574\u4e2a\u6846\u67b6\u8bad\u7ec3\u8db3\u591f\u5145\u5206\u7684\u65f6\u5019\uff0c\u53ef\u4ee5\u7cbe\u786e\u5730\u9884\u6d4b\u672a\u6765\u7684\u5fae\u89c2\u72b6\u6001\u65f6\uff0c\u7f16\u7801\u7684\u5b8f\u89c2\u72b6\u6001\u6536\u655b\u5230\u6709\u6548\u72b6\u6001\uff0c\u800c\u6709\u6548\u72b6\u6001\u53ef\u4ee5\u88ab\u89c6\u4e3a\u8ba1\u7b97\u529b\u5b66\u4e2d\u7684\u56e0\u679c\u72b6\u6001\u3002<\/span><\/section>\n

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\u540c\u65f6NIS\u65b9\u6cd5\u4e0e\u524d\u9762\u63d0\u5230\u7684G-emergence\u4e5f\u6709\u76f8\u4f3c\u4e4b\u5904\uff0c\u4f8b\u5982\uff0cNIS\u540c\u6837\u91c7\u7528\u4e86\u683c\u5170\u6770\u56e0\u679c\u7684\u601d\u60f3:\u901a\u8fc7\u9884\u6d4b\u4e0b\u4e00\u4e2a\u65f6\u95f4\u6b65\u7684\u5fae\u89c2\u72b6\u6001\u6765\u4f18\u5316\u6709\u6548\u7684\u5b8f\u89c2\u72b6\u6001\u3002\u7136\u800c\uff0c\u8fd9\u4e24\u4e2a\u6846\u67b6\u4e4b\u95f4\u6709\u51e0\u4e2a\u660e\u663e\u7684\u533a\u522b\uff1aa\uff09\u5728G-emergence\u7406\u8bba\u4e2d\uff0c\u5b8f\u89c2\u72b6\u6001\u9700\u8981\u4eba\u5de5\u9009\u62e9\uff0c\u7136\u540eNIS\u4e2d\u662f\u901a\u8fc7\u81ea\u52a8\u4f18\u5316\u7c97\u7c92\u5316\u7b56\u7565\u6765\u5f97\u5230\u5b8f\u89c2\u72b6\u6001\uff1bb\uff09NIS\u4f7f\u7528\u795e\u7ecf\u7f51\u7edc\u6765\u9884\u6d4b\u672a\u6765\u72b6\u6001\uff0c\u800cG-emergence\u4f7f\u7528\u81ea\u56de\u5f52\u6280\u672f\u6765\u62df\u5408\u6570\u636e\u3002<\/span><\/section>\n

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\u5173\u4e8e\u56e0\u679c\u6d8c\u73b0\u7684\u8fa8\u8bc6\uff0c\u5c24\u5176\u662fNIS\u65b9\u6cd5\u7684\u8ba8\u8bba\uff0c\u53ef\u4ee5\u89c2\u770b\u56e0\u679c\u6d8c\u73b0\u8bfb\u4e66\u4f1a\u7684\u5206\u4eab\uff1a<\/span><\/span><\/section>\n
\u5f20\u6c5f\u3001\u8881\u51b0\uff1a\u6d8c\u73b0\u3001\u56e0\u679c\u4e0e\u4eba\u5de5\u667a\u80fd<\/span><\/section>\n
https:\/\/pattern.swarma.org\/study_group_issue\/490<\/span><\/section>\n

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\u5f20\u6c5f\uff1a<\/span>\u590d\u6742\u7cfb\u7edf\u7684\u56e0\u679c\u6d8c\u73b0\u8fa9\u8bc6<\/span><\/section>\n
https:\/\/pattern.swarma.org\/study_group_issue\/437<\/span><\/section>\n
\u5982\u4f55\u4ece\u6570\u636e\u4e2d\u53d1\u73b0\u56e0\u679c\u6d8c\u73b0\u2014\u2014\u795e\u7ecf\u4fe1\u606f\u538b\u7f29\u5668<\/span><\/section>\n
https:\/\/pattern.swarma.org\/study_group_issue\/373<\/span><\/section>\n<\/section>\n<\/section>\n<\/blockquote>\n

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4. \u56e0\u679c\u6d8c\u73b0\u7684\u5b9e\u4f8b<\/strong><\/strong><\/span><\/p>\n<\/section>\n

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4.1 \u72b6\u6001\u7a7a\u95f4\u4e0a\u7684\u56e0\u679c\u6d8c\u73b0<\/strong><\/span><\/h3>\n

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\u4e0b\u56fe\u7ed9\u51fa\u4e00\u4e2a\u542b\u6709\u56db\u4e2a\u72b6\u6001\u7684\u9a6c\u5c14\u53ef\u592b\u94fe\u7684\u72b6\u6001\u8f6c\u79fb\u77e9\u9635\uff0c\u5176\u4e2d\u524d\u4e09\u4e2a\u72b6\u6001\u4e4b\u95f4\u7b49\u6982\u7387\u8f6c\u79fb\uff0c\u6700\u540e\u4e00\u4e2a\u72b6\u6001\u662f\u72ec\u7acb\u7684\uff0c\u901a\u8fc7\u5c06\u524d\u4e09\u4e2a\u72b6\u6001\u7c97\u7c92\u5316\u6210\u4e00\u4e2a\u72b6\u6001\uff0c\u53ef\u4ee5\u5f97\u5230\u53f3\u56fe\u786e\u5b9a\u7684\u5b8f\u89c2\u7cfb\u7edf\uff0c\u5373\u7cfb\u7edf\u7684\u672a\u6765\u72b6\u6001\u5b8c\u5168\u53ef\u4ee5\u7531\u5f53\u524d\u72b6\u6001\u51b3\u5b9a\u3002\u6b64\u65f6<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mtext><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mtext><\/mjx-c><\/mjx-mo><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>E<\/span><\/mi>I<\/span><\/mi>(<\/span><\/mo>S<\/span><\/mi>M<\/sub><\/span><\/mi><\/msub>)<\/span><\/mo>><\/span><\/mo>E<\/span><\/mi>I<\/span><\/mi>(<\/span><\/mo>S<\/span><\/mi>m<\/sub><\/span><\/mi><\/msub>)<\/span><\/mo><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\uff0c\u7cfb\u7edf\u53d1\u751f\u4e86\u56e0\u679c\u6d8c\u73b0\u3002<\/span><\/section>\n

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4.2 \u79bb\u6563\u5e03\u5c14\u7f51\u7edc\u4e0a\u7684\u56e0\u679c\u6d8c\u73b0<\/strong><\/span><\/h3>\n

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\u4e0b\u56fe\u5c55\u793a1\u4e2a\u542b\u67094\u4e2a\u8282\u70b9\u7684\u5e03\u5c14\u7f51\u7edc\u4f8b\u5b50\uff0c\u6bcf\u4e2a\u8282\u70b9\u67090\u548c1\u4e24\u79cd\u72b6\u6001\uff0c\u6bcf\u4e2a\u8282\u70b9\u4e0e\u5176\u4e2d\u4e24\u4e2a\u8282\u70b9\u76f8\u8fde\uff0c\u9075\u5faa\u76f8\u540c\u7684\u5fae\u89c2\u52a8\u529b\u5b66\u673a\u5236<\/span>\uff08a\u56fe\uff09<\/span>\uff0c\u56e0\u6b64\uff0c\u4e00\u5171\u542b\u6709\u5341\u516d\u4e2a\u5fae\u89c2\u72b6\u6001\uff0c\u53ef\u4ee5\u5f97\u5230\u4e00\u4e2a<\/span><\/mjx-c><\/mjx-c><\/mjx-mn><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-c><\/mjx-mn><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>16<\/span><\/mn>\u00d7<\/span><\/mo>16<\/span><\/mn><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u7684\u72b6\u6001\u8f6c\u79fb\u77e9\u9635<\/span>\uff08c\u56fe\uff09<\/span>\uff0c\u7136\u540e\u7ed9\u5b9a\u5206\u7ec4\u65b9\u5f0f\uff0c\u5982\u5c06A\u548cB\u8fdb\u884c\u5408\u5e76\uff0cC\u548cD\u8fdb\u884c\u5408\u5e76<\/span>\uff08b\u56fe\uff09<\/span>\uff0c\u540c\u65f6\u7ed9\u5b9a\u5fae\u89c2\u72b6\u6001\u5230\u5b8f\u89c2\u72b6\u6001\u7684\u6620\u5c04\u51fd\u6570<\/span>\uff08d\u56fe\uff09<\/span>\uff0c\u5c31\u53ef\u4ee5\u5f97\u5230\u65b0\u7684\u5b8f\u89c2\u52a8\u529b\u5b66\u673a\u5236\uff0c\u6839\u636e\u8fd9\u4e2a\u673a\u5236\u5c31\u53ef\u4ee5\u5f97\u5230\u5b8f\u89c2\u7f51\u7edc\u7684\u72b6\u6001\u8f6c\u79fb\u77e9\u9635<\/span>\uff08e\u56fe\uff09<\/span>\uff0c\u901a\u8fc7\u5bf9\u6bd4\u53d1\u73b0\u5b8f\u89c2\u52a8\u529b\u5b66\u7684\u6709\u6548\u4fe1\u606f\u5927\u4e8e\u5fae\u89c2\u52a8\u529b\u5b66\u7684\u6709\u6548\u4fe1\u606f\uff08<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mtext><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mtext><\/mjx-c><\/mjx-mo><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>E<\/span><\/mi>I<\/span><\/mi>(<\/span><\/mo>S<\/span><\/mi>M<\/sub><\/span><\/mi><\/msub>)<\/span><\/mo>><\/span><\/mo>E<\/span><\/mi>I<\/span><\/mi>(<\/span><\/mo>S<\/span><\/mi>m<\/sub><\/span><\/mi><\/msub>)<\/span><\/mo><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\uff09\uff0c\u7cfb\u7edf\u53d1\u751f\u4e86\u56e0\u679c\u6d8c\u73b0\u3002<\/span><\/section>\n

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\u79bb\u6563\u5e03\u5c14\u7f51\u7edc\u4e0a\u7684\u56e0\u679c\u6d8c\u73b0<\/span><\/section>\n

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4.3 \u65f6\u57df\u7a7a\u95f4\u4e0a\u7684\u56e0\u679c\u6d8c\u73b0<\/strong><\/span><\/h3>\n

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\u9664\u4e86\u5bf9\u7a7a\u95f4\u8fdb\u884c\u7c97\u7c92\u5316\uff0c\u8fd8\u53ef\u4ee5\u5bf9\u65f6\u95f4\u8fdb\u884c\u7c97\u7c92\u5316\u5982\u4e0b\u56fe\u6240\u793a\uff0c\u8003\u8651\u4e24\u9636\u9a6c\u5c14\u53ef\u592b\u52a8\u529b\u5b66\uff0c\u8f93\u5165\u4e3a\u4e24\u4e2a\u65f6\u523b<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mn><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>t<\/span><\/mi>\u2212<\/span><\/mo>2<\/span><\/mn><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u548c<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mn><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>t<\/span><\/mi>\u2212<\/span><\/mo>1<\/span><\/mn><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u7684\u72b6\u6001\uff0c\u8f93\u51fa\u4e3a<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>t<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u548c<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mn><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>t<\/span><\/mi>+<\/span><\/mo>1<\/span><\/mn><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u7684\u72b6\u6001\uff0c\u53ef\u4ee5\u901a\u8fc7<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>E<\/span><\/mi>I<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u8ba1\u7b97\u4e8c\u9636\u5fae\u89c2\u52a8\u529b\u5b66\u7684\u6709\u6548\u4fe1\u606f\u4e3a<\/span><\/mjx-c><\/mjx-c><\/mjx-c><\/mjx-c><\/mjx-mn><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>1.38<\/span><\/mn>b<\/span><\/mi>i<\/span><\/mi>t<\/span><\/mi>s<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\uff0c\u7136\u540e\u901a\u8fc7\u5bf9\u65f6\u95f4\u72b6\u6001\u5206\u7ec4\uff0c\u4ee4<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mn><\/mjx-texatom><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-mrow><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>\u03b1<\/span><\/mi>=<\/span><\/mo>{<\/span><\/mo>A<\/span><\/mi>t<\/sub><\/span><\/mi><\/msub>,<\/span><\/mo>A<\/span><\/mi>t+1<\/sub><\/span><\/mn><\/mrow><\/msub>}<\/span><\/mo><\/mrow><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\uff0c<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mn><\/mjx-texatom><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-mrow><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>\u03b2<\/span><\/mi>=<\/span><\/mo>{<\/span><\/mo>B<\/span><\/mi>t<\/sub><\/span><\/mi><\/msub>,<\/span><\/mo>B<\/span><\/mi>t+1<\/sub><\/span><\/mn><\/mrow><\/msub>}<\/span><\/mo><\/mrow><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\uff0c \u540c\u65f6\u91c7\u7528\u4e0e\u79bb\u6563\u5e03\u5c14\u7f51\u7edc\u76f8\u540c\u7684\u6620\u5c04\u51fd\u6570\uff0c\u53ef\u4ee5\u5f97\u5230\u5b8c\u5168\u786e\u5b9a\u4e14\u975e\u7b80\u5e76\u7684\u5b8f\u89c2\u52a8\u529b\u5b66\u7cfb\u7edf\uff0c\u5176\u6709\u6548\u4fe1\u606f\u4e3a<\/span><\/mjx-c><\/mjx-mn><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>2 <\/span><\/mn>b<\/span><\/mi>i<\/span><\/mi>t<\/span><\/mi>s<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\uff0c\u540c\u6837\u5b9e\u73b0\u201c\u5b8f\u89c2\u6253\u8d25\u5fae\u89c2\u201d\u7684\u6548\u679c\u3002<\/span><\/section>\n

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4.4 \u8fde\u7eed\u7a7a\u95f4\u4e0a\u7684\u56e0\u679c\u6d8c\u73b0<\/strong><\/span><\/h3>\n

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\u4e0a\u8ff0\u7684\u4e09\u4e2a\u4f8b\u5b50\u90fd\u662f\u9488\u5bf9\u79bb\u6563\u7684\u72b6\u6001\u7cfb\u7edf\u7684\u56e0\u679c\u6d8c\u73b0\u8861\u91cf\uff0cVarley\u5c1d\u8bd5\u5c06\u8fde\u7eed\u7cfb\u7edf\u8f6c\u6362\u6210\u79bb\u6563\u7684\u72b6\u6001\u8f6c\u79fb\u56fe\u8fdb\u884c\u6bd4\u8f83[21]\u3002\u4f5c\u8005\u4f7f\u7528OPN<\/span>\uff08\u6709\u5e8f\u5212\u5206\u7f51\u7edc\uff09<\/span>\u65b9\u6cd5\u6765\u79bb\u6563\u5316Rossler\u5438\u5f15\u5b50\u6765\u521b\u5efa\u6709\u9650\u6570\u91cf\u7684\u72b6\u6001\u4ee5\u53ca\u5b9a\u4e49\u4e00\u4e2a\u72b6\u6001\u5230\u53e6\u4e00\u4e2a\u72b6\u6001\u7684\u8f6c\u79fb\u6982\u7387\u3002Rossler\u5438\u5f15\u5b50\u7684\u52a8\u529b\u5b66\u5982\u4e0b\u6240\u793a\uff1a<\/span><\/section>\n

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<\/mjx-nstrut><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-mrow><\/mjx-num><\/mjx-line><\/mjx-dstrut><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-mrow><\/mjx-den><\/mjx-row><\/mjx-dtable><\/mjx-dbox><\/mjx-frac><\/mjx-mfrac><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math><\/mi><\/mrow><\/mfrac><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container><\/section>\n
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<\/mo><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container><\/section>\n

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\u8bbe\u5b9a<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mn><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>b<\/span><\/mi>=<\/span><\/mo>2<\/span><\/mn><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\uff0c<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mn><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>c<\/span><\/mi>=<\/span><\/mo>4<\/span><\/mn><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\uff0c<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-c><\/mjx-c><\/mjx-c><\/mjx-mn><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-c><\/mjx-c><\/mjx-c><\/mjx-mn><\/mjx-c><\/mjx-mo><\/mjx-mrow><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>a<\/span><\/mi>\u2208<\/span><\/mo>{<\/span><\/mo>0.37<\/span><\/mn>,<\/span><\/mo>0.43<\/span><\/mn>}<\/span><\/mo><\/mrow><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u95f4\u9694\u4e3a0.001\uff0c\u8fd9\u91cc\u53ea\u662f\u57fa\u4e8e<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>x<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u7684\u65f6\u95f4\u5e8f\u5217\u5efa\u7acb\u72b6\u6001\u7f51\u7edc\u3002OPN\u65b9\u6cd5\u5177\u4f53\u64cd\u4f5c\u5982\u4e0b\uff1a\u8f93\u5165\u65f6\u95f4\u5e8f\u5217<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mn><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mn><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-mrow><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>x<\/span><\/mi>=<\/span><\/mo>{<\/span><\/mo>x<\/span><\/mi>1<\/sub><\/span><\/mi><\/span><\/mn><\/msub>,<\/span><\/mo>x<\/span><\/mi>2<\/sub><\/span><\/mi><\/span><\/mn><\/msub>,<\/span><\/mo>\u2026<\/span><\/mo>,<\/span><\/mo>x<\/span><\/mi>n<\/sub><\/span><\/mi><\/span><\/mi><\/msub>}<\/span><\/mo><\/mrow><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\uff0c\u9700\u8981\u5c06\u8f93\u5165\u5d4c\u5165\u5230\u4e00\u4e2a\u6ede\u540e\u65f6\u95f4\u4e3a<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>\u03c4<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u7684<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>D<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u7ef4\u7a7a\u95f4\u4e2d\uff0c \u5176\u4e2d<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mn><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-mrow><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>v<\/span><\/mi>i<\/sub><\/span><\/mi><\/span><\/mi><\/msub>=<\/span><\/mo>{<\/span><\/mo>x<\/span><\/mi>i<\/sub><\/span><\/mi><\/span><\/mi><\/span><\/mi><\/msub>,<\/span><\/mo>xv<\/mi>i<\/span><\/mi>+<\/span><\/mo>\u03c4<\/span><\/mi><\/sub><\/span><\/mi><\/span><\/mi><\/span><\/mi><\/msub><\/mrow><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>,<\/span><\/mo>\u2026<\/span><\/mo>xi<\/mi>+<\/mo>(<\/mo>D<\/mi>\u2212<\/mo>1<\/mn>)<\/mo>\u03c4<\/mi><\/sub><\/span><\/mi><\/span><\/mi><\/msub><\/mrow><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>}<\/span><\/mo><\/mrow><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\uff0c\u9700\u8981\u6839\u636e<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>v<\/span><\/mi>i<\/span><\/mi><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u4e2d\u7684\u6570\u503c\u8fdb\u884c\u964d\u5e8f\u6392\u5e8f\u91cd\u65b0\u7f16\u53f7\u4e3a<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mn><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mn><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-mrow><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>s<\/span><\/mi>i<\/sub><\/span><\/mi><\/span><\/mi><\/msub>=<\/span><\/mo>{<\/span><\/mo>\u03c0<\/span><\/mi>1<\/sub><\/span><\/mi><\/span><\/mn><\/msub>,<\/span><\/mo>\u03c0<\/span><\/mi>2<\/sub><\/span><\/mi><\/span><\/mn><\/msub>,<\/span><\/mo>\u22ef<\/span><\/mo>\u03c0<\/span><\/mi>D<\/sub><\/span><\/mi><\/span><\/mi><\/msub>}<\/span><\/mo><\/mrow><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\uff0c \u5176\u4e2d\uff0c<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mn><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mn><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>\u03c0<\/span><\/mi>j<\/sub><\/span><\/mi><\/span><\/mi><\/msub>\u2208<\/span><\/mo>{<\/span><\/mo>1<\/span><\/mn>,<\/span><\/mo>2<\/span><\/mn>,<\/span><\/mo>\u2026<\/span><\/mo>,<\/span><\/mo>D<\/span><\/mi>}<\/span><\/mo><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\uff0c\u8282\u70b9\u5e8f\u5217<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>s<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u8868\u793a\u4e3a<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mn><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mn><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mn><\/mjx-texatom><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-mrow><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>s<\/span><\/mi>=<\/span><\/mo>{<\/span><\/mo>s<\/span><\/mi>1<\/sub><\/span><\/mi><\/span><\/mn><\/msub>,<\/span><\/mo>s<\/span><\/mi>2<\/sub><\/span><\/mi><\/span><\/mn><\/msub>,<\/span><\/mo>\u2026<\/span><\/mo>,<\/span><\/mo>s<\/span><\/mi>n-D+1<\/sub><\/span><\/mi><\/span><\/mn><\/mrow><\/msub>}<\/span><\/mo><\/mrow><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\uff0c\u5e8f\u5217<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>s<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u4e2d\u4e0d\u91cd\u590d\u7684\u5411\u91cf\u6784\u6210\u6700\u7ec8\u7684\u72b6\u6001\u56fe\u4e2d\u7684\u8282\u70b9\uff0c\u8282\u70b9<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>i<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u6307\u5411\u8282\u70b9<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>j<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u7684\u6743\u91cd\u8868\u793a\u4e3a<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>s<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u5e8f\u5217\u4e2d\u72b6\u6001<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>si<\/sub><\/span><\/mi><\/span><\/mi><\/span><\/mi><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u540e\u9762\u4e3a\u72b6\u6001<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>s<\/span><\/mi>j<\/sub><\/span><\/mi><\/span><\/mi><\/span><\/mi><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u7684\u6b21\u6570\u3002\u5bf9\u8fb9\u6743\u8fdb\u884c\u5f52\u4e00\u5316\u5c31\u53ef\u4ee5\u5f97\u5230\u8282\u70b9\u95f4\u7684\u72b6\u6001\u8f6c\u79fb\u6982\u7387\uff0c\u7136\u540e\u57fa\u4e8eHoel\u7b49\u4eba\u63d0\u51fa\u7f51\u7edc\u7684\u6709\u6548\u4fe1\u606f\u5ea6\u91cf\u65b9\u6cd5\u8fdb\u884c\u5b9e\u9a8c\uff0c\u6bd4\u8f83\u7cfb\u7edf\u7684\u786e\u5b9a\u6027\u3001\u7b80\u5e76\u6027\u3001\u6709\u6548\u6027\u7b49\u6307\u6807\u968f\u7740\u53c2\u6570<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>a<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u7684\u53d8\u5316\uff0c\u5982\u4e0b\u56fe\u6240\u793a\u3002<\/span><\/section>\n

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\u7cfb\u7edf\u7684\u786e\u5b9a\u6027\u3001\u7b80\u5e76\u6027\u4ee5\u53ca\u6709\u6548\u7cfb\u6570\u968f\u53c2\u6570\u7684\u53d8\u5316<\/span><\/section>\n

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\u901a\u8fc7\u5b9e\u9a8c\u6bd4\u8f83\u53d1\u73b0\uff0c\u968f\u7740\u53c2\u6570<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>a<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u7684\u589e\u5927\uff0c\u786e\u5b9a\u6027\u9996\u5148\u7ecf\u5386\u4e86\u77ed\u6682\u7684\u4e0a\u5347\uff0c\u968f\u540e\u5728\u7b2c\u4e00\u6b21\u5206\u53c9\u540e\u7acb\u5373\u5927\u5e45\u4e0b\u964d\uff0c\u7136\u540e\u9010\u6e10\u4e0a\u5347\u5728\u5468\u671f\u52a0\u500d\u7ea7\u8054\u5f00\u59cb\u524d\u8fbe\u5230\u5c40\u90e8\u5cf0\u503c\uff0c\u8fc7\u4e86\u8be5\u70b9\uff0c\u786e\u5b9a\u6027\u6025\u5267\u5d29\u6e83\u3002\u4e00\u822c\u6765\u8bf4\uff0c\u6df7\u6c8c\u52a8\u529b\u5b66\u4e0e\u8f83\u4f4e\u6c34\u5e73\u7684\u786e\u5b9a\u6027\u5448\u76f8\u5173\u5173\u7cfb\u3002\u6b64\u5916\uff0c\u7b80\u5e76\u6027\u548c\u6709\u6548\u4fe1\u606f\u7684\u66f2\u7ebf\u53d8\u5316\u548c\u786e\u5b9a\u6027\u66f2\u7ebf\u53d8\u5316\u4fdd\u6301\u4e00\u81f4\u3002\u7136\u800c\uff0c\u5bf9\u4e8e\u56e0\u679c\u6d8c\u73b0\u66f2\u7ebf\u7684\u53d8\u5316\u6ca1\u6709\u4ec0\u4e48\u6709\u8da3\u73b0\u8c61\uff0c\u5b83\u5728\u4e00\u4e2a\u76f8\u5bf9\u6052\u5b9a\u7684\u503c\u9644\u8fd1\u5f80\u590d\u632f\u8361\uff0c\u5176\u4e2d\u5b58\u5728\u4e00\u4e2a\u660e\u663e\u7684\u4f8b\u5916\uff0c\u5b83\u5728\u5468\u671f\u52a0\u500d\u7ea7\u8054\u5f00\u59cb\u65f6\u66b4\u8dcc\uff0c\u5982\u4e0b\u56fe\u6240\u793a\u3002<\/span><\/section>\n

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\u56e0\u679c\u6d8c\u73b0\u968f\u53c2\u6570\u7684\u53d8\u5316<\/span><\/section>\n

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Pavel Chvykov\u548cErik Hoel\u7b49[22]\u4e5f\u5c06\u56e0\u679c\u6d8c\u73b0\u6846\u67b6\u6269\u5c55\u5230\u8fde\u7eed\u7cfb\u7edf\uff0c\u5e76\u4e14\u5047\u8bbe\u4e0d\u786e\u5b9a\u6027\u662f\u6dfb\u52a0\u5230\u786e\u5b9a\u6027\u51fd\u6570\u4e2d\u7684\u5e72\u6270\uff0c\u7814\u7a76\u4eba\u5458\u63a8\u5bfc\u51fa\u8fde\u7eed\u7cfb\u7edf\u6709\u6548\u4fe1\u606f\u7684\u8fd1\u4f3c\u5f62\u5f0f\u6765\u8861\u91cf\u56e0\u679c\u6d8c\u73b0\u7684\u53d1\u751f\u3002<\/span><\/section>\n

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5. \u56e0\u679c\u6d8c\u73b0\u7684\u5e94\u7528<\/strong><\/strong><\/span><\/p>\n<\/section>\n

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\u8fd9\u4e9b\u5b9a\u91cf\u7684\u91cf\u5316\u56e0\u679c\u6d8c\u73b0\u7684\u65b9\u6cd5\u5df2\u7ecf\u5e7f\u6cdb\u5e94\u7528\u5230\u5f88\u591a\u590d\u6742\u7cfb\u7edf\u4e2d\uff0c\u5305\u62ec\u5177\u6709\u6210\u767e\u4e0a\u5343\u8282\u70b9\u7684\u590d\u6742\u7f51\u7edc\u4ee5\u53ca\u795e\u7ecf\u7f51\u7edc\uff0c\u5230\u5177\u6709\u660e\u663e\u6d8c\u73b0\u73b0\u8c61\u7684\u751f\u547d\u6e38\u620f\u3001\u9e1f\u7fa4\u6a21\u578b\u3001\u86cb\u767d\u8d28\u4ea4\u4e92\u3001\u751f\u7269\u4ee5\u53ca\u771f\u5b9e\u7684\u5927\u8111\u7f51\u7edc\u7b49\u3002<\/span><\/section>\n

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5.1 \u5728\u590d\u6742\u7f51\u7edc\u4e0a\u7684\u5e94\u7528<\/strong><\/span><\/h3>\n

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\u5728\u968f\u673a\u7f51\u7edc<\/span>\uff08ER\uff09<\/span>\u3001\u504f\u597d\u4f9d\u8d56\u7f51\u7edc<\/span>\uff08PA\uff09<\/span>\u7b49\u4eba\u5de5\u7f51\u7edc\u4ee5\u53ca\u56db\u7c7b\u771f\u5b9e\u7f51\u7edc\u4e2d\u8fdb\u884c\u5b9e\u9a8c\u6bd4\u8f83\u3002<\/span><\/section>\n

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