{"id":49271,"date":"2024-03-28T19:38:54","date_gmt":"2024-03-28T11:38:54","guid":{"rendered":"https:\/\/swarma.org\/?p=49271"},"modified":"2024-03-28T19:38:54","modified_gmt":"2024-03-28T11:38:54","slug":"%e4%b8%89%e7%a7%8d%e4%bf%a1%e6%81%af%e5%8a%a8%e5%8a%9b%e5%ad%a6%ef%bc%9a%e5%a6%82%e4%bd%95%e8%af%86%e5%88%ab%e5%85%83%e8%83%9e%e8%87%aa%e5%8a%a8%e6%9c%ba%e4%b8%ad%e7%9a%84%e6%b6%8c%e7%8e%b0%ef%bc%9f","status":"publish","type":"post","link":"https:\/\/swarma.org\/?p=49271","title":{"rendered":"\u4e09\u79cd\u4fe1\u606f\u52a8\u529b\u5b66\uff1a\u5982\u4f55\u8bc6\u522b\u5143\u80de\u81ea\u52a8\u673a\u4e2d\u7684\u6d8c\u73b0\uff1f"},"content":{"rendered":"
\n
\n
\n
\n

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

\n
\n
\n
\n
\n
\n

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

\u5bfc\u8bed<\/strong><\/p>\n<\/section>\n<\/section>\n

\n

<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n
\n
\n
\u4e0a\u4e16\u7eaa90\u5e74\u4ee3\u521d\uff0c\u6717\u987f\u521b\u9020\u4e86\u201c\u5728\u6df7\u6c8c\u8fb9\u7f18\u8ba1\u7b97\u201d\u8fd9\u4e2a\u672f\u8bed\uff0c\u5e76\u5f00\u59cb\u601d\u8003\u4e00\u4e2a\u96be\u9898\uff1a\u7cfb\u7edf\u7684\u590d\u6742\u6027\u6765\u6e90\u4e8e\u4f55\u5904\u3002\u4ed6\u7684\u6587\u5b57\u5df2\u7ecf\u6697\u793a\u8fd9\u4e00\u8ff7\u601d\u4e0e\u4fe1\u606f\u7406\u8bba\u7684\u7d27\u5bc6\u5173\u8054\u3002Joseph T. Lizier \u5728 2010 \u5e74\u4ece\u6089\u5c3c\u5927\u5b66\u83b7\u5f97\u8ba1\u7b97\u673a\u79d1\u5b66\u535a\u58eb\u5b66\u4f4d\uff0c\u5728\u4ed6\u7684\u535a\u58eb\u8bba\u6587\u300a\u590d\u6742\u7cfb\u7edf\u4e2d\u5206\u5e03\u5f0f\u8ba1\u7b97\u7684\u5c40\u90e8\u4fe1\u606f\u52a8\u529b\u5b66\u300b\uff08The Local Information Dynamics of Distributed Computation in Complex Systems\uff09\u4e2d\uff0c\u63a5\u8fc7\u6717\u987f\u63d0\u51fa\u7684\u6311\u6218\uff0c\u6df1\u5165\u4fe1\u606f\u7406\u8bba\u7684\u57fa\u7840\uff0c\u7ee7\u7eed\u63a2\u8ba8\u5206\u5e03\u5f0f\u8ba1\u7b97\u4e0e\u7cfb\u7edf\u590d\u6742\u6027\u7684\u5173\u7cfb\uff0c\u771f\u6b63\u7528\u5b9a\u91cf\u7684\u6307\u6807\u6765\u523b\u753b\u590d\u6742\u7cfb\u7edf\u7684\u6d8c\u73b0\u7279\u5f81\u3002\u5728\u8fd9\u82e5\u5e72\u5e74\u540e\uff0c\u4eba\u4eec\u53d1\u73b0\u4f20\u7edf\u4fe1\u606f\u6307\u6807\u5904\u7406\u591a\u5143\u53d8\u91cf\u5173\u7cfb\u7684\u529b\u4e0d\u4ece\u5fc3\uff0c\u4e8e\u662f\u6709\u4e86<\/span><\/strong>\u300c<\/span><\/strong>\u56e0\u679c\u6d8c\u73b0\u8bfb\u4e66\u4f1a\u7b2c\u56db\u5b63<\/span><\/strong>\u300d<\/span><\/strong><\/a>\u63d0\u5230\u7684\u6574\u5408\u4fe1\u606f\u5206\u89e3\u6846\u67b6\u3002\u5b83\u7ee7\u627f\u4e86 Lizier \u7684\u6982\u5ff5\u548c\u601d\u60f3\uff0c\u6240\u4ee5\u56de\u8fc7\u5934\u6765\u89e3\u8bfb\u8fd9\u7bc7\u535a\u58eb\u8bba\u6587\u4f1a\u5e2e\u52a9\u6211\u4eec\u5bf9\u6574\u5408\u4fe1\u606f\u5206\u89e3\u6709\u66f4\u52a0\u6df1\u523b\u5730\u7406\u89e3\u3002<\/span><\/strong><\/section>\n

<\/span><\/strong><\/section>\n
\u6211\u4eec\u8ba1\u5212\u7528\u4e00\u7cfb\u5217\u5171\u4e09\u7bc7\u6587\u7ae0\u89e3\u8bfb Lizier \u7684\u535a\u58eb\u8bba\u6587\uff0c\u7b2c\u4e00\u7bc7\u6587\u7ae0\u300a\u590d\u6742\u7cfb\u7edf\u7814\u7a76\u4e3a\u4ec0\u4e48\u5173\u6ce8\u4fe1\u606f\u8bba\uff1f<\/a>\u300b\u4e2d\uff0c\u6211\u4eec\u4ecb\u7ecd\u4e86\u590d\u6742\u7cfb\u7edf\u4e2d\u5b58\u5728\u7740\u5206\u5e03\u5f0f\u8ba1\u7b97\uff0c\u5305\u62ec\u4fe1\u606f\u5b58\u50a8\u3001\u4fe1\u606f\u8f6c\u79fb\u548c\u4fe1\u606f\u4fee\u6b63\u3002\u4eca\u5929\u8fd9\u7bc7\u6587\u7ae0\u6211\u4eec\u9010\u4e00\u4ecb\u7ecd\u8fd9\u4e09\u79cd\u4e0d\u540c\u7684\u4fe1\u606f\u52a8\u529b\u5b66\u548c\u5b83\u4eec\u5bf9\u5e94\u7684\u5c40\u90e8\u4fe1\u606f\u6307\u6807\uff0c\u8fd9\u5957\u6307\u6807\u80fd\u591f\u523b\u753b\u548c\u9610\u91ca\u5143\u80de\u81ea\u52a8\u673a\u91cc\u53d1\u751f\u7684\u6d8c\u73b0\u7ed3\u6784\u548c\u5206\u5e03\u5f0f\u8ba1\u7b97\uff1a\u5728\u5143\u80de\u81ea\u52a8\u673a\u91cc\uff0c\u9759\u6001\u7684\u7c92\u5b50\uff08\u95ea\u70c1\u4f53\uff09\u8fdb\u884c\u7740\u4fe1\u606f\u5b58\u50a8\uff0c\u52a8\u6001\u7684\u7c92\u5b50\uff08\u6ed1\u884c\u4f53\uff09\u8fdb\u884c\u7740\u4fe1\u606f\u8f6c\u79fb\uff0c\u800c\u7c92\u5b50\u7684\u78b0\u649e\u5219\u662f\u5728\u8fdb\u884c\u4fe1\u606f\u4fee\u6b63\u3002\u5728\u66f4\u4e3a\u590d\u6742\u7684\u5143\u80de\u81ea\u52a8\u673a\u6bd4\u5982\u751f\u547d\u6e38\u620f\u4e2d\uff0c\u8fd9\u79cd\u6d8c\u73b0\u51fa\u6765\u7684\u7c92\u5b50\u751a\u81f3\u53ef\u4ee5\u4f5c\u4e3a\u57fa\u672c\u7684\u8fd0\u7b97\u5355\u4f4d\uff0c\u7528\u6765\u6784\u5efa\u56fe\u7075\u673a\uff0c\u6a21\u62df\u4efb\u610f\u590d\u6742\u7684\u5176\u4ed6\u7684\u8ba1\u7b97\u8fc7\u7a0b\u3002<\/span><\/strong><\/section>\n<\/section>\n
\n
<\/strong><\/strong><\/section>\n

<\/span><\/strong><\/section>\n
\u5173\u952e\u8bcd\uff1a\u590d\u6742\u7cfb\u7edf\uff0c\u4fe1\u606f\u8bba\uff0c\u5206\u5e03\u5f0f\u8ba1\u7b97\uff0c\u4fe1\u606f\u52a8\u529b\u5b66\uff0c\u5143\u80de\u81ea\u52a8\u673a\uff0c\u6d8c\u73b0<\/span><\/strong><\/span><\/strong><\/section>\n<\/section>\n
\n
<\/strong><\/section>\n<\/section>\n
\n
<\/strong><\/strong><\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n
\n
\n
\n
<\/svg><\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n
\n
<\/section>\n<\/section>\n
\n
\u6768\u660e\u54f2<\/span> | \u4f5c\u8005<\/span><\/strong><\/section>\n
\u6881\u91d1<\/span> <\/span>| <\/span><\/strong><\/span><\/strong>\u7f16\u8f91<\/span><\/strong><\/section>\n<\/section>\n


<\/p>\n


<\/p>\n

\u81ea\u6717\u987f\u63d0\u51fa\u201c\u6df7\u6c8c\u8fb9\u7f18\u7684\u8ba1\u7b97\u201d\u4e4b\u540e\uff0c\u79d1\u5b66\u5bb6\u4eec\u5f00\u59cb\u5173\u6ce8\u4fe1\u606f\u8bba\u5bf9\u590d\u6742\u7cfb\u7edf\u7814\u7a76\u7684\u4ef7\u503c\u3002\u5728\u590d\u6742\u7cfb\u7edf\u5f53\u4e2d\uff0c\u6bcf\u4e00\u4e2a\u4e3b\u4f53\u90fd\u5728\u8fdb\u884c\u201c\u65e0\u610f\u8bc6\u201d\u5730\u8ba1\u7b97\uff0c\u6839\u636e\u67d0\u4e9b\u8f93\u5165\uff0c\u5f97\u5230\u4e00\u4e9b\u8f93\u51fa\u3002\u8fd9\u6837\u7684\u5206\u5e03\u5f0f\u8ba1\u7b97\u5728\u540c\u4e00\u65f6\u523b\u53d1\u751f\u5728\u7ec4\u6210\u4e00\u4e2a\u7cfb\u7edf\u7684\u6240\u6709\u4e2a\u4f53\u8eab\u4e0a\uff0c\u800c\u4e14\u5f80\u5f80\u4e0e\u4e3b\u4f53\u95f4\u76f8\u4e92\u4f5c\u7528\u6709\u5173\u3002\u8ba1\u7b97\u7684\u53d1\u751f\uff0c\u5e26\u6765\u4fe1\u606f\u7684\u53d8\u5316\uff0c\u53ef\u4ee5\u88ab\u4fe1\u606f\u8bba\u7684\u6027\u8d28\u6240\u6355\u83b7\u3002<\/span><\/p>\n


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

\u6b63\u5982\u4efb\u4f55\u79cd\u7c7b\u7cfb\u7edf\u90fd\u53d7\u80fd\u91cf\u5b88\u6052\u5b9a\u5f8b\u7684\u7ea6\u675f\u4e00\u6837\uff0c\u4fe1\u606f\u8bba\u4e2d\u4e5f\u6709\u4e25\u683c\u6210\u7acb\u7684\u6cd5\u5219\u9002\u7528\u4e8e\u6240\u6709\u7684\u7cfb\u7edf\uff0c\u65e0\u5173\u4e4e\u4f60\u662f\u632f\u5b50\u7f51\u7edc\u3001\u5143\u80de\u81ea\u52a8\u673a\uff0c\u8fd8\u662f\u8681\u7fa4\u3001\u5927\u8111\u3002\u65e2\u7136\u6211\u4eec\u8ba4\u4e3a\u590d\u6742\u7cfb\u7edf\u7684\u6d8c\u73b0\u4e0e\u5927\u91cf\u4e2a\u4f53\u95f4\u76f8\u4e92\u4f5c\u7528\u6709\u5173\uff0c\u800c\u4e2a\u4f53\u95f4\u76f8\u4e92\u4f5c\u7528\u80fd\u53cd\u6620\u5728\u4fe1\u606f\u8bba\u6307\u6807\u91cc\uff0c\u90a3\u4e48\u81ea\u7136\u4f1a\u60f3\u5230\u5229\u7528\u4fe1\u606f\u8bba\u6307\u6807\u5e2e\u52a9\u6211\u4eec\u8bc6\u522b\u548c\u9610\u91ca\u7cfb\u7edf\u7684\u6d8c\u73b0\u73b0\u8c61\u3002<\/span><\/p>\n


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

\u5143\u80de\u81ea\u52a8\u673a\u662f\u4e00\u4e2a\u4f53\u73b0\u5206\u5e03\u5f0f\u8ba1\u7b97\u7684\u7ecf\u5178\u6848\u4f8b\uff0c\u5c24\u5176\u662f\u521d\u7b49\u5143\u80de\u81ea\u52a8\u673a\uff0c\u4eba\u4eec\u5bf9\u5b83\u7684\u79cd\u7c7b\u548c\u6027\u8d28\u5df2\u7ecf\u6709\u4e86\u5145\u5206\u7684\u4e86\u89e3\u3002\u770b\u8d77\u6765\u5b83\u4f3c\u4e4e\u53ea\u662f\u4eba\u4e3a\u6784\u5efa\u7684\u6a21\u62df\u7cfb\u7edf\uff0c\u4f46\u5177\u6709\u590d\u6742\u7cfb\u7edf\u5171\u901a\u7684\u6027\u8d28\uff0c\u800c\u4e14\u975e\u5e38\u7b80\u6d01\uff0c\u6709\u5229\u4e8e\u7528\u6765\u9a8c\u8bc1\u5404\u4e2a\u4fe1\u606f\u8bba\u6307\u6807\u7684\u542b\u4e49\u548c\u4f5c\u7528\u3002\u5982\u679c\u6211\u4eec\u53ef\u4ee5\u5728\u521d\u7b49\u5143\u80de\u81ea\u52a8\u673a\u4e0a\u5206\u6790\u900f\u5f7b\u6d8c\u73b0\u76f8\u5173\u7684\u4fe1\u606f\u8bba\u6307\u6807\uff0c\u90a3\u4e48\u5c31\u6709\u5145\u8db3\u7684\u7406\u8bba\u4f9d\u636e\u5c06\u8fd9\u4e9b\u6307\u6807\u62d3\u5c55\u5e94\u7528\u5230\u66f4\u4e3a\u590d\u6742\u7684\u5b9e\u9645\u7cfb\u7edf\u5f53\u4e2d\u3002<\/span><\/p>\n


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

\u5728\u4e0a\u4e00\u7bc7\u6587\u7ae0\u300a\u590d\u6742\u7cfb\u7edf\u7814\u7a76\u4e3a\u4ec0\u4e48\u5173\u6ce8\u4fe1\u606f\u8bba\uff1f<\/a>\u300b\u4e2d\uff0c\u6211\u4eec\u4ecb\u7ecd\u4e86\u590d\u6742\u7cfb\u7edf\u4e2d\u5b58\u5728\u7740\u5206\u5e03\u5f0f\u8ba1\u7b97\uff0c\u5305\u62ec\u4fe1\u606f\u5b58\u50a8\u3001\u4fe1\u606f\u8f6c\u79fb\u548c\u4fe1\u606f\u4fee\u6b63\u3002\u63a5\u4e0b\u6765\u6211\u4eec\u9010\u4e00\u4ecb\u7ecd\u8fd9\u4e09\u79cd\u4e0d\u540c\u7684\u4fe1\u606f\u52a8\u529b\u5b66\u548c\u5b83\u4eec\u5bf9\u5e94\u7684\u5c40\u90e8\u4fe1\u606f\u6307\u6807\uff0c\u4e3b\u8981\u4ee5\u5143\u80de\u81ea\u52a8\u673a\u4e3a\u6848\u4f8b\uff0c\u5c55\u793a\u8fd9\u4e9b\u6307\u6807\u5728\u5b9e\u8df5\u4e2d\u5982\u4f55\u5e94\u7528\uff0c\u5e2e\u52a9\u6211\u4eec\u8bc6\u522b\u590d\u6742\u7cfb\u7edf\u6d8c\u73b0\u51fa\u7684\u6591\u56fe\u3002<\/span><\/p>\n


<\/p>\n


<\/p>\n

\n
\n
\n
\n
\n

<\/section>\n

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

1. \u4fe1\u606f\u5b58\u50a8<\/strong><\/span><\/strong><\/strong><\/p>\n<\/section>\n

\n

<\/section>\n

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


<\/p>\n

\u4fe1\u606f\u5b58\u50a8\u5728\u5404\u79cd\u81ea\u7136\u6216\u4eba\u5de5\u7684\u7cfb\u7edf\u4e2d\u5e7f\u6cdb\u7684\u5b58\u5728\u3002\u5b83\u6307\u7684\u662f\uff0c\u4e00\u4e2a\u53d8\u91cf\u6216\u4e3b\u4f53\u7684\u5386\u53f2\u5e8f\u5217\u4e2d\u53ef\u4ee5\u88ab\u7528\u6765\u9884\u6d4b\u5176\u672a\u6765\u7684\u4fe1\u606f\u91cf\u3002\u7814\u7a76\u4fe1\u606f\u5b58\u50a8\u6700\u5e38\u89c1\u7684\u6307\u6807\u4fbf\u662f\u8fc7\u5269\u71b5<\/strong><\/span>\uff08excess entropy\uff09<\/span>\uff0c\u5982\u4e0b\u5f0f\u6240\u793a\u3002<\/span><\/p>\n


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

<\/p>\n


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

\u5176\u4e2dX(k)<\/sup>\u8868\u793a\u7684\u662f\u6240\u6709\u53d8\u91cf\u7684k\u9636\u5386\u53f2\u53d8\u91cf\uff0c\u76f8\u5bf9\u5e94\u7684\uff0cX(k<\/span>+<\/span><\/sup>)<\/sup>\u8868\u793ak\u9636\u672a\u6765\u53d8\u91cf\u3002k\u8d8b\u5411\u4e8e\u65e0\u7a77\u5927\u5373\u610f\u5473\u7740\u8fc7\u5269\u71b5\u5ea6\u91cf\u7684\u662f\u6240\u6709\u5386\u53f2\u53d8\u91cf\u548c\u6240\u6709\u672a\u6765\u53d8\u91cf\u4e4b\u95f4\u7684\u4e92\u4fe1\u606f\u3002\u5728\u5e94\u7528\u4e2d\uff0c\u6211\u4eec\u771f\u6b63\u8ba1\u7b97\u7684\u662f\u5c40\u90e8\u8fc7\u5269\u71b5<\/strong><\/span>\uff08local excess entropy\uff09<\/span>\uff0c\u5982\u4e0b\u5f0f\u6240\u793a\u3002<\/span><\/p>\n


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

<\/p>\n


<\/p>\n

\u4e92\u4fe1\u606f\u5ea6\u91cf\u7684\u662f\u53d8\u91cf\u95f4\u7684\u5173\u7cfb\uff0c\u800c\u5c40\u90e8\u4e92\u4fe1\u606f\u5ea6\u91cf\u7684\u5219\u662f\u4e8b\u4ef6\u4e4b\u95f4\u7684\u5173\u7cfb\uff0c\u4e92\u4fe1\u606f\u662f\u5c40\u90e8\u4e92\u4fe1\u606f\u7684\u671f\u671b\u503c<\/strong>\u3002\u67d0\u4e00\u4e2a\u4fe1\u606f\u6307\u6807\u53bb\u9664\u6c42\u671f\u671b\u7684\u64cd\u4f5c\uff0c\u5f97\u5230\u7684\u5c31\u662f\u5b83\u7684\u5c40\u90e8\u7684\u6307\u6807\u3002\u5728\u4e0a\u5f0f\u4e2d\uff0c\u6211\u4eec\u4f1a\u5728\u63a5\u4e0b\u6765\u4f7f\u7528\u7684\u662fe(i,n+1,k)\uff0c\u5176\u4e2di\u8868\u793a\u4e3b\u4f53\u7684\u7f16\u53f7<\/span>\uff08\u6bd4\u5982\u5143\u80de\u81ea\u52a8\u673a\u4e2d\u7b2ci\u53f7\u5143\u80de\uff09<\/span>\uff0cn+1\u8868\u793a\u7b2cn+1\u4e2a\u65f6\u523b\uff0c\u800ck\u5219\u662f\u6211\u4eec\u8ffd\u6eaf\u7684\u5386\u53f2\u548c\u672a\u6765\u7684\u957f\u5ea6\u3002\u663e\u7136\u6211\u4eec\u65e0\u6cd5\u8ba1\u7b97\u65e0\u7a77\u591a\u7ef4\u53d8\u91cf\u4e8b\u4ef6\u7684\u4e92\u4fe1\u606f\uff0c\u8fd9\u91cc\u6709\u4e00\u4e2a\u6743\u8861\uff1a\u5982\u679ck\u592a\u5c0f\uff0c\u5219\u4f1a\u4e22\u5931\u8fc7\u591a\u7684\u4fe1\u606f\uff0c\u800c\u5982\u679ck\u592a\u5927\uff0c\u5bf9\u91c7\u6837\u6570\u91cf\u8981\u6c42\u4f1a\u6bd4\u8f83\u9ad8\uff0c\u8ba1\u7b97\u538b\u529b\u5927\uff0c\u6240\u4ee5\u5728\u5b9e\u8df5\u4e2d\u6211\u4eec\u9700\u8981\u9009\u5b9a\u4e00\u4e2a\u5408\u9002\u7684k\u3002\u6211\u4eec\u77e5\u9053\u4e92\u4fe1\u606f\u672c\u8eab\u662f\u975e\u8d1f\u7684\uff0c\u4f46\u5c40\u90e8\u4e92\u4fe1\u606f\u5374\u6709\u53ef\u80fd\u51fa\u73b0\u8d1f\u503c\u3002\u8d1f\u7684\u5c40\u90e8\u4e92\u4fe1\u606f\u610f\u5473\u7740\u89c2\u6d4b\u8005\u88ab\u8bef\u5bfc\uff0c\u5373\u5f53\u7ed9\u5b9a\u89c2\u6d4b\u5230\u7684\u5386\u53f2\u5e8f\u5217\u4e0b\uff0c\u672a\u6765\u4e8b\u4ef6\u53d1\u751f\u7684\u6982\u7387\u6bd4\u5728\u6ca1\u6709\u4efb\u4f55\u6761\u4ef6\u4e0b\u8be5\u4e8b\u4ef6\u53d1\u751f\u7684\u6982\u7387\u4f4e\u3002\u6362\u53e5\u8bdd\u8bf4\uff0c\u5386\u53f2\u7684\u4fe1\u606f\u4e0d\u4f46\u6ca1\u6709\u5e2e\u52a9\u89c2\u6d4b\u8005\uff0c\u53cd\u5012\u8ba9\u89c2\u6d4b\u8005\u66f4\u96be\u9884\u6d4b\u672a\u6765\u4e86<\/strong>\u3002<\/span><\/p>\n


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

\u5728\u590d\u6742\u7cfb\u7edf\u4e2d\uff0c\u6591\u56fe\u7684\u51fa\u73b0\u5f80\u5f80\u8ddf\u7279\u5b9a\u7684\u521d\u59cb\u6761\u4ef6\u6216\u73af\u5883\u6709\u5173\uff0c\u8fd9\u79cd\u7279\u5b9a\u7684\u4e8b\u4ef6\u4f1a\u88ab\u6c42\u5e73\u5747\u7684\u4e92\u4fe1\u606f\u6216\u5176\u4ed6\u8bf8\u5982\u6b64\u7c7b\u7684\u4fe1\u606f\u6307\u6807\u6240\u5ffd\u7565\u3002\u6240\u4ee5\u5173\u6ce8\u5c40\u90e8\u6307\u6807\u624d\u80fd\u6355\u6349\u5230\u8fd9\u4e9b\u6591\u56fe\uff0c\u53ea\u6709\u5c40\u90e8\u7684\u4fe1\u606f\u6307\u6807\u624d\u80fd\u63cf\u8ff0\u5728\u6bcf\u4e00\u4e2a\u65f6\u95f4\u6b65\u4e0a\u4fe1\u606f\u662f\u5982\u4f55\u8fd0\u4f5c\u7684\uff0c\u5373\u53cd\u6620\u51fa\u4fe1\u606f\u52a8\u529b\u5b66\u3002\u76ee\u524d\uff0c\u5c40\u90e8\u4fe1\u606f\u5ea6\u91cf\u6307\u6807\u5df2\u7ecf\u5e2e\u52a9\u6211\u4eec\u5bf9\u975e\u7ebf\u6027\u7cfb\u7edf\u7684\u52a8\u529b\u5b66\u63d0\u4f9b\u5f88\u591a\u6d1e\u5bdf[1]\u3002<\/span><\/p>\n


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

\u56de\u5230\u8fc7\u5269\u71b5\u4e0a\u6765\u3002\u5b83\u5ea6\u91cf\u7684\u662f\u67d0\u4e00\u4e3b\u4f53\u8fc7\u53bb\u82e5\u5e72\u65f6\u523b\u4e0e\u672a\u6765\u82e5\u5e72\u65f6\u523b\u6240\u6709\u7684\u4ea4\u4e92\u5173\u7cfb\uff0c\u5982\u4e0b\u56fe\uff08a\uff09\u6240\u793a\u3002\u56fe\u4e2d\u6a2a\u8f74\u8868\u793a\u7a7a\u95f4\uff0c\u5206\u5e03\u7740\u4e00\u4e2a\u4e2a\u7ec6\u80de\u5373\u4e00\u4e2a\u4e2a\u4e3b\u4f53\u3002\u7eb5\u8f74\u662f\u65f6\u95f4\uff0c\u4e00\u822c\u60c5\u51b5\u4e0b\u67d0\u4e00\u4e3b\u4f53\u7684\u8fc7\u53bb\u5bf9\u672a\u6765\u4f1a\u6709\u5f71\u54cd\uff0c\u53d1\u751f\u7740\u4fe1\u606f\u5b58\u50a8\u7684\u8fc7\u7a0b\u3002\u76f8\u6bd4\u4e8e\u6240\u6709\u7684\u672a\u6765\u65f6\u523b\uff0c\u5728\u5f53\u4e0b\u6211\u4eec\u5927\u591a\u771f\u6b63\u5173\u5fc3\u7684\u5176\u5b9e\u662f\uff0c\u53ea\u5bf9\u4e8e\u4e0b\u4e00\u65f6\u523b\u7684\u9884\u6d4b\uff0c\u6211\u4eec\u4f1a\u7528\u5230\u7684\u4fe1\u606f\uff0c\u4e5f\u5c31\u662f\u6d3b\u8dc3\u4fe1\u606f\u5b58\u50a8<\/strong><\/span>\uff08active information storage\uff09<\/span>\uff0c\u5982\u56fe\uff08b\uff09\u6240\u793a\u3002<\/span><\/p>\n


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

<\/p>\n


<\/p>\n

\u4e8e\u662f\uff0c\u80fd\u591f\u5ea6\u91cf\u4fe1\u606f\u5b58\u50a8\u7684\u7b2c\u4e8c\u4e2a\u6307\u6807\u51fa\u73b0\u4e86\u3002\u6d3b\u8dc3\u4fe1\u606f\u5b58\u50a8\u7684\u8868\u8fbe\u5f0f\u5982\u4e0b\u6240\u793a\uff0c\u5176\u4e2dX’\u8868\u793a\u4e0b\u4e00\u65f6\u523b\u7684\u53d8\u91cf\u3002\u5b83\u4e5f\u6709\u5bf9\u5e94\u7684\u5c40\u90e8\u7684\u8868\u8fbe\u65b9\u5f0f\uff0c\u8be6\u60c5\u89c1\u4e0b\u6587\u7684\u8868\u683c\u3002<\/span><\/p>\n


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

<\/p>\n


<\/p>\n

\u53ef\u4ee5\u60f3\u89c1\uff0c\u968f\u7740k\u7684\u53d6\u503c\u589e\u5927\uff0c\u6d3b\u8dc3<\/span>\u4fe1\u606f\u5b58\u50a8\u5e94\u5f53\u4f1a\u6536\u655b\u4e8e\u67d0\u4e00\u4e2a\u4e0a\u754c\uff0c\u56e0\u4e3a\u4ec5\u5c31\u4e0b\u4e00\u65f6\u523b\u800c\u8a00\uff0c\u4e0d\u9700\u8981\u7528\u5230\u65e0\u7a77\u591a\u7684\u4fe1\u606f\u3002\u5982\u4e0b\u56fe\u6240\u793a\uff0c\u8fd9\u662f\u5143\u80de\u81ea\u52a8\u673a110\u53f7\u4e2d\u968f\u7740k\u589e\u5927\u65f6\u6d3b\u8dc3<\/span>\u4fe1\u606f\u5b58\u50a8\u7684\u53d8\u5316\u66f2\u7ebf\u3002<\/span><\/p>\n


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

<\/p>\n


<\/p>\n

\u8fdb\u4e00\u6b65\u6211\u4eec\u53ef\u4ee5\u5f15\u51fa\u7b2c\u4e09\u4e2a\u5ea6\u91cf\u6307\u6807\uff0c\u71b5\u7387<\/strong><\/span>\uff08entropy rate\uff09<\/span>\u3002\u6d3b\u8dc3<\/span>\u4fe1\u606f\u5b58\u50a8\u672c\u8eab\u8fd8\u662f\u4e00\u4e2a\u4e92\u4fe1\u606f\uff0c\u5ea6\u91cf\u7684\u662f\u5386\u53f2\u5bf9\u4e0b\u4e00\u65f6\u523b\u53d8\u91cf\u6d88\u9664\u7684\u4e0d\u786e\u5b9a\u6027\uff0c\u800c\u71b5<\/span>\uff08\u5168\u90e8\u7684\u4e0d\u786e\u5b9a\u6027\uff09<\/span>\u51cf\u53bb\u4e92\u4fe1\u606f\u4fbf\u662f\u6761\u4ef6\u71b5\u3002\u5df2\u77e5\u5386\u53f2\u7684\u6761\u4ef6\u4e0b\uff0c\u4e0b\u4e00\u65f6\u523b\u5386\u53f2\u7684\u6761\u4ef6\u71b5\u4fbf\u662f\u71b5\u7387\uff0c\u63cf\u8ff0\u7684\u662f\u5e73\u5747\u6bcf\u4e2a\u65f6\u523b\u76f8\u6bd4\u4e8e\u8fc7\u53bb\u6240\u589e\u957f\u7684\u4e0d\u786e\u5b9a\u6027\u3002\u6570\u5b66\u8bed\u8a00\u63cf\u8ff0\u5982\u4e0b\uff0c\u5176\u4e2dH\u00b5<\/sub>\u8868\u793a\u7684\u5c31\u662f\u71b5\u7387\u3002<\/span><\/p>\n


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

<\/p>\n


<\/p>\n

\u600e\u6837\u7406\u89e3\u8fd9\u6837\u7684\u5f0f\u5b50\uff1f\u6b63\u5982James Crutchfield\u6240\u8ba4\u4e3a<\/span>\uff08\u300a\u8ba1\u7b97\u529b\u5b66\uff1a\u91cf\u5316\u6d8c\u73b0\u7684\u53c8\u4e00\u6761\u8def\u5f84<\/a>\u300b\uff09<\/span>\uff0c\u590d\u6742\u7cfb\u7edf\u751f\u6210\u7684\u65f6\u95f4\u5e8f\u5217\u5c31\u597d\u6bd4\u4e3b\u4f53\u5728\u4e16\u754c\u4e2d\u89c2\u5bdf\u5230\u7684\u6570\u636e\uff0c\u5176\u4e2d\u6709\u89c4\u5f8b\u7684\u3001\u53ef\u4ee5\u88ab\u4e3b\u4f53\u5229\u7528\u7684\u53d8\u5316\u5c31\u662f\u6d3b\u8dc3<\/span>\u4fe1\u606f\u5b58\u50a8\u6240\u5ea6\u91cf\u7684\uff1b\u800c\u5176\u4f59\u6ca1\u6709\u89c4\u5f8b\u7684\uff0c\u65e0\u6cd5\u4ece\u5386\u53f2\u5f53\u4e2d\u63a8\u65ad\u51fa\u6765\u7684\u968f\u673a\u6027\u7684\u53d8\u5316\u5c31\u662f\u71b5\u7387\u6240\u5ea6\u91cf\u7684\u3002\u628a\u5b83\u4eec\u5408\u5728\u4e00\u8d77\uff0c\u4fbf\u662f\u65f6\u95f4\u5e8f\u5217\u5728\u67d0\u4e00\u65f6\u523b\u8574\u542b\u7684\u5168\u90e8\u4e0d\u786e\u5b9a\u6027\u3002\u5f53\u7136\u71b5\u7387\u4e5f\u6709\u5b83\u5c40\u90e8\u7684\u8868\u8fbe\u65b9\u5f0f\uff0c\u8fd9\u91cc\u5c31\u4e0d\u8be6\u7ec6\u5c55\u5f00\u4e86\u3002\u81f3\u6b64\uff0c\u4e09\u79cd\u548c\u4fe1\u606f\u5b58\u50a8\u6709\u5173\u7684\u5177\u4f53\u5ea6\u91cf\u6307\u6807\u6089\u6570\u767b\u573a\uff0c\u7f57\u5217\u5728\u4e0b\u8868\u4e2d\u3002<\/span><\/p>\n


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

<\/p>\n


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

\u63a5\u4e0b\u6765\u6211\u4eec\u8fdb\u5165\u5143\u80de\u81ea\u52a8\u673a\u7684\u4e16\u754c\uff0c\u770b\u770b\u8fd9\u4e9b\u5c40\u90e8\u5ea6\u91cf\u6307\u6807\u5982\u4f55\u5e94\u7528\u5728\u5177\u4f53\u573a\u666f\u4e2d\u3002\u6211\u4eec\u9996\u5148\u6765\u4ecb\u7ecd\u4e00\u7ef4\u5143\u80de\u81ea\u52a8\u673a\u4e2d\u4f1a\u51fa\u73b0\u7684\u6591\u56fe\u3002\u6700\u666e\u904d\u7684\u662f\u57df<\/strong><\/span>\uff08domain\uff09<\/span>\uff0c\u5b83\u4eec\u5f80\u5f80\u4f5c\u4e3a\u80cc\u666f\u5728\u4e00\u4e2a\u5143\u80de\u81ea\u52a8\u673a\u7684\u4e8c\u7ef4\u65f6\u7a7a\u53d8\u5316\u56fe\u4e0a\u6210\u7247\u6210\u7247\u5730\u5e7f\u6cdb\u5b58\u5728<\/span>\uff08\u57df\u5728\u8bba\u6587[2]\u4e2d\u6709\u5f62\u5f0f\u5316\u7684\u5b9a\u4e49\uff09<\/span>\u3002\u4e24\u7247\u57df\u4e4b\u95f4\u4f1a\u5b58\u5728\u8fb9\u754c\uff0c\u88ab\u5b9a\u4e49\u4e3a\u7c92\u5b50<\/strong><\/span>\uff08particle\uff09<\/span>\uff0c\u5728\u6709\u7684\u6587\u732e\u4e2d\u4e5f\u79f0\u4f5c\u57df\u5899<\/strong><\/span>\uff08domain wall\uff09<\/span>\u3002\u7c92\u5b50\u6709\u9759\u6001\u548c\u52a8\u6001\u4e4b\u5206\u3002\u5982\u679c\u968f\u7740\u65f6\u95f4\u5c55\u5f00\uff0c\u67d0\u7c92\u5b50\u53ea\u5728\u7279\u5b9a\u7684\u51e0\u4e2a\u5143\u80de\u4e0a\u51fa\u73b0\uff0c\u90a3\u4e48\u5b83\u5c31\u662f\u9759\u6001\u7684\u7c92\u5b50\uff0c\u4e5f\u88ab\u79f0\u4f5c\u95ea\u70c1\u4f53<\/strong><\/span>\uff08blinker\uff09<\/span>\u3002\u5982\u679c\u8be5\u7c92\u5b50\u80fd\u591f\u5411\u5468\u56f4\u90bb\u5c45\u7ec6\u80de\u8f6c\u79fb\uff0c\u90a3\u4e48\u5b83\u5c31\u662f\u52a8\u6001\u7684\uff0c\u4e5f\u88ab\u79f0\u4f5c\u6ed1\u884c\u4f53<\/strong><\/span>\uff08glider\uff09<\/span>\u3002\u6240\u6709\u8fd9\u4e9b\u6591\u56fe\u90fd\u5177\u6709\u5468\u671f\u53d8\u5316\u7684\u7279\u5f81\u3002<\/span><\/p>\n


<\/p>\n

<\/p>\n


<\/p>\n

\u4e0a\u56fe\u4e2d\u7684(a)\u5c55\u793a\u4e86\u89c4\u521954\u7684\u4e00\u7ef4\u5143\u80de\u81ea\u52a8\u673a\u3002\u6a2a\u8f74\u4e3a\u7a7a\u95f4\uff0c\u5171\u670935\u4e2a\u7ec6\u80de\uff0c\u7eb5\u8f74\u4e3a\u65f6\u95f4\uff0c\u8fd0\u884c\u4e8635\u6b65\u3002\u6211\u4eec\u53ef\u4ee5\u770b\u5230\u8fd9\u5f20\u65f6\u7a7a\u4e8c\u7ef4\u56fe\u4e0a\u5c55\u793a\u51fa\u6765\u7684\u5404\u79cd\u56fe\u6848\u3002\u56fe(b)\u548c(c)\u5206\u522b\u8868\u793a\u5c40\u90e8\u8fc7\u5269\u71b5\u548c\u5c40\u90e8\u6d3b\u8dc3<\/span>\u4fe1\u606f\u5b58\u50a8\u7684\u5206\u5e03\u56fe\uff0c\u84dd\u8272\u4e3a\u6b63\u503c\uff0c\u7ea2\u8272\u4e3a\u8d1f\u503c\u3002\u03b1\u548c\u03b2\u4e24\u4e2a\u5b57\u6bcd\u6807\u8bb0\u4e86\u5c40\u90e8\u8fc7\u5269\u71b5\u503c\u6bd4\u8f83\u5927\u7684\u533a\u57df\uff0c\u8bc6\u522b\u51fa\u7684\u56fe\u6848\u662f\u95ea\u70c1\u4f53\u3002\u968f\u7740\u65f6\u95f4\u8f74\u4ece\u4e0a\u5f80\u4e0b\uff0c\u95ea\u70c1\u4f53\u5448\u73b0\u51fa0-0-0-1\u7684\u6a21\u5f0f\u4ea4\u66ff\u51fa\u73b0\uff0c\u800c\u65c1\u8fb9\u5448\u73b0\u5468\u671f\u53d8\u53160-0-1-1\u548c0-1\u7684\u5219\u662f\u57df\u3002\u76f8\u6bd4\u4e8e\u6d3b\u8dc3\u4fe1\u606f\u5b58\u50a8\u53ea\u80fd\u5173\u6ce8\u4e0e\u4e0b\u4e00\u65f6\u523b\u72b6\u6001\u76f8\u5173\u7684\u5468\u671f\u89c4\u5f8b\uff0c\u5c40\u90e8\u8fc7\u5269\u71b5\u53ef\u4ee5\u5ea6\u91cf\u6240\u6709k\u9636\u672a\u6765\u76f8\u5173\u7684\u5468\u671f\u89c4\u5f8b<\/span>\uff08\u5728\u8be5\u5b9e\u9a8c\u4e2dk=8\uff09<\/span>\uff0c\u6240\u4ee5\u5ea6\u91cf\u7c92\u5b50\u7684\u503c\u4f1a\u66f4\u5927\uff0c\u4e0e\u5176\u4ed6\u6ca1\u6709\u7c92\u5b50\u51fa\u73b0\u7684\u533a\u57df\u533a\u522b\u66f4\u660e\u663e\u3002<\/span><\/p>\n


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

<\/p>\n


<\/p>\n

\u6211\u4eec\u63a5\u7740\u6765\u770b\u53e6\u4e00\u4e2a\u5143\u80de\u81ea\u52a8\u673a\uff0c<\/span>\u03a6<\/span>par<\/span><\/sub><\/span>\u3002\u5b83\u5ea6\u91cf\u7684\u662f\u4e0a\u4e00\u65f6\u523b\u4e00\u5b9a\u8303\u56f4\u5185\u7ec6\u80de\u20180\u2019\u548c\u20181\u2019\u7684\u5360\u6bd4\uff0c\u5728\u672c\u6587\u5b9e\u9a8c\u4e2d\u4e3b\u4f53\u5173\u6ce8\u7684\u8303\u56f4\u5927\u5c0f\u4fbf\u662fr=3\uff0c\u5c55\u793a\u4e8686\u4e2a\u7ec6\u80de\u768486\u4e2a\u65f6\u95f4\u6b65\u3002\u5173\u4e8e\u8fd9\u79cd\u5143\u80de\u81ea\u52a8\u673a\u66f4\u8be6\u7ec6\u7684\u63cf\u8ff0\u53ef\u4ee5\u53c2\u89c1\u8bba\u6587[3]\u3002\u8be5\u5143\u80de\u81ea\u52a8\u673a\u6e05\u6670\u5c55\u793a\u4e86\u4e24\u79cd\u4e0d\u540c\u7684\u57df\uff0c\u4e24\u4e2a\u57df\u4e4b\u95f4\u6709\u6ed1\u884c\u4f53\u4f5c\u4e3a\u8fb9\u754c\u3002\u76f8\u6bd4\u4e8e\u95ea\u70c1\u4f53<\/span>\uff0854\u53f7\u5143\u80de\u81ea\u52a8\u673a\u7684\u03b1\u548c\u03b2<\/span>\uff09<\/span>\uff0c\u57df\u5305\u542b\u7684\u4fe1\u606f\u5b58\u50a8\u91cf\u66f4\u5c0f<\/span>\uff08\u54ea\u6015\u5468\u671f\u957f\u5ea6\u76f8\u540c\uff0c\u56e0\u4e3a\u57df\u53ea\u662f\u91cd\u590d\u81ea\u8eab\uff0c\u800c\u7c92\u5b50\u9664\u4e86\u91cd\u590d\u81ea\u8eab\uff0c\u5b58\u50a8\u7684\u4fe1\u606f\u8fd8\u5305\u542b\u4e86\u8fd0\u52a8\u65b9\u5411\u548c\u4e24\u4e2a\u57df\u7684\u8f6c\u5316\uff09<\/span>\uff0c\u6240\u4ee5\u5c40\u90e8\u8fc7\u5269\u71b5\u7684\u503c\u5c31\u6ca1\u6709\u5f88\u5927\u3002\u6211\u4eec\u53ef\u4ee5\u8bbe\u5b9a\u4e00\u4e2a\u9608\u503ciB<\/sub>\u6765\u533a\u5206\u8fd9\u4e24\u4e2a\u6591\u56fe\uff0c\u5982\u679c\u5c40\u90e8\u8fc7\u5269\u71b5\u5c0f\u4e8e\u8fd9\u4e2a\u9608\u503c\u90a3\u4e48\u8bc6\u522b\u51fa\u6765\u7684\u5c31\u662f\u57df\uff0c\u5927\u4e8e\u9608\u503c\u7684\u8bdd\u5219\u662f\u95ea\u70c1\u4f53\u3002<\/span><\/p>\n


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

\u8bfb\u8005\u4e0d\u96be\u53d1\u73b0\u56fe\u4e2d\u8fd8\u6709\u51fa\u73b0\u8d1f\u503c\u7684\u65f6\u5019\uff0c\u8fd9\u53c8\u610f\u5473\u7740\u4ec0\u4e48\u5462\uff1f\u5176\u5b9e\uff0c\u8d1f\u7684\u6d3b\u8dc3\u4fe1\u606f\u5b58\u50a8\u53ef\u4ee5\u7528\u6765\u6355\u6349\u6ed1\u884c\u4f53\uff0c\u6b63\u5982\u89c4\u521954\u5143\u80de\u81ea\u52a8\u673a\u56fe(c)\u4e2d\u6807\u6ce8\u7684\u03b3<\/span>\u533a\u57df\u3002\u6b63\u5982\u524d\u6587\u6240\u8ff0\uff0c\u5f53\u5c40\u90e8\u4e92\u4fe1\u606f\u51fa\u73b0\u8d1f\u503c\u65f6\uff0c\u8bf4\u660e\u5386\u53f2\u72b6\u6001\u5bf9\u672a\u6765\u7684\u9884\u6d4b\u8d77\u5230\u4e86\u8bef\u5bfc\u4f5c\u7528\u3002\u4e0d\u96be\u60f3\u8c61\uff0c\u67d0\u4e00\u4e2a\u5143\u80de\u539f\u672c\u6709\u81ea\u5df1\u56fa\u6709\u7684\u8fd0\u4f5c\u89c4\u5f8b\uff0c\u53ef\u5f53\u5b83\u906d\u9047\u53e6\u4e00\u4e2a\u4ece\u5176\u4ed6\u5730\u65b9\u8d70\u6765\u7684\u6ed1\u884c\u4f53\u65f6\uff0c\u539f\u672c\u7684\u89c4\u5f8b\u5c31\u88ab\u6253\u7834\u6216\u8005\u5e72\u6270\u4e86\u3002\u5982\u679c\u4ecd\u4f7f\u7528\u5386\u53f2\u7ecf\u9a8c\u6765\u9884\u6d4b\uff0c\u53cd\u5012\u9884\u6d4b\u4e0d\u51c6\u4e0b\u4e00\u65f6\u523b\u7684\u72b6\u6001\u4e86\uff0c\u4e8e\u662f\u51fa\u73b0\u8d1f\u7684\u6d3b\u8dc3<\/span>\u4fe1\u606f\u5b58\u50a8\u3002\u6211\u4eec\u8fd8\u4f1a\u53d1\u73b0\uff0c\u5c40\u90e8\u8fc7\u5269\u71b5\u4e5f\u4f1a\u51fa\u73b0\u8d1f\u503c\uff0c\u4f46\u4f3c\u4e4e\u6bd4\u5c40\u90e8\u6d3b\u8dc3<\/span>\u4fe1\u606f\u5b58\u50a8\u7684\u7ea2\u8272\u8981\u6d45\u5f88\u591a\u3002\u8fd9\u662f\u56e0\u4e3a\uff0c\u5982\u679c\u4e00\u4e2a\u6ed1\u884c\u4f53\u8d70\u8fc7\u6765\u53c8\u7acb\u9a6c\u79bb\u5f00\u4e86\uff0c\u90a3\u4e48\u5bf9\u4e8e\u5f53\u5730\u7684\u7ec6\u80de\u800c\u8a00\uff0c\u672a\u6765\u7684\u82e5\u5e72\u65f6\u523b\u4e2d\u53ea\u6709\u90e8\u5206\u65f6\u523b\u7684\u72b6\u6001\u4f1a\u88ab\u8bef\u5bfc\uff0c\u5176\u4f59\u72b6\u6001\u8fd8\u53ef\u4ee5\u4f7f\u7528\u81ea\u8eab\u7684\u5386\u53f2\u6765\u9884\u6d4b\u3002\u800c\u5c40\u90e8\u8fc7\u5269\u71b5\u5ea6\u91cf\u7684\u662f\u591a\u4e2a\u672a\u6765\u65f6\u523b\uff0c\u6240\u4ee5\u88ab\u8bef\u5bfc\u7684\u90a3\u4e00\u90e8\u5206\u5c31\u88ab\u7a00\u91ca\u6216\u62b5\u6d88\u6389\u4e86\u3002\u53ef\u89c1\uff0c\u5bf9\u4e8e\u8fd0\u52a8\u7684\u56fe\u6848\u6765\u8bf4\uff0c\u5c40\u90e8\u6d3b\u8dc3<\/span>\u4fe1\u606f\u5b58\u50a8\u662f\u4e00\u4e2a\u66f4\u4e3a\u6e05\u6670\u7684\u6307\u6807\u3002<\/span><\/p>\n


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

\u63a5\u4e0b\u6765\u6211\u4eec\u5bf9\u6bd4\u4e00\u4e0b\u4e0d\u540ck\u7684\u9009\u62e9\u4f1a\u5bf9\u5ea6\u91cf\u7ed3\u679c\u6709\u4ec0\u4e48\u5f71\u54cd\u3002\u4e0b\u56fe\u5c55\u793a\u4e86110\u53f7\u89c4\u5219\u5143\u80de\u81ea\u52a8\u673a\u3002\u76f8\u6bd4\u4e8ek=7\uff0ck=1\u7684\u60c5\u51b5\u4e0b\u4e22\u5931\u7684\u4fe1\u606f\u66f4\u591a\uff0c\u5df2\u7ecf\u51e0\u4e4e\u65e0\u6cd5\u8bc6\u522b\u51fa\u8fd0\u52a8\u7684\u7c92\u5b50\u3002\u6240\u4ee5\u5728\u7b97\u529b\u7684\u5141\u8bb8\u4e0b\uff0ck\u7684\u53d6\u503c\u8d8a\u5927\u8d8a\u597d\u3002<\/span><\/p>\n


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

<\/p>\n

 <\/span><\/p>\n

\u9664\u4e86\u5c40\u90e8\u8fc7\u5269\u71b5\u548c\u5c40\u90e8\u6d3b\u8dc3\u4fe1\u606f\u5b58\u50a8\uff0c\u6211\u4eec\u524d\u9762\u8fd8\u63d0\u5230\u4e86\u5c40\u90e8\u71b5\u7387\uff0c\u5b83\u80fd\u8d77\u5230\u4ec0\u4e48\u4f5c\u7528\u5462\uff1f\u6839\u636e\u524d\u6587\u4e2d\u7684\u8868\u8fbe\u5f0f\u6211\u4eec\u5df2\u77e5\uff0c\u67d0\u4e00\u65f6\u523b\u67d0\u4e00\u4e2a\u5143\u80de\u7684\u71b5\u7b49\u4e8e\u5c40\u90e8\u7684\u6d3b\u8dc3<\/span>\u4fe1\u606f\u5b58\u50a8\u548c\u71b5\u7387\u4e4b\u548c\u3002\u4e00\u822c\u60c5\u51b5\u4e0b\uff0c\u6bcf\u4e2a\u5143\u80de\u7684\u71b5\u8fd1\u4f3c\u4e3a1bit<\/span>\uff080\u548c1\u57fa\u672c\u5747\u5300\u5206\u5e03\uff09<\/span>\uff0c\u6240\u4ee5\u6d3b\u8dc3<\/span>\u4fe1\u606f\u5b58\u50a8\u548c\u71b5\u7387\u5b58\u5728\u53cd\u6bd4\u7684\u5173\u7cfb\u3002\u4e8e\u662f\uff0c\u6211\u4eec\u4e5f\u53ef\u4ee5\u7528\u5c40\u90e8\u71b5\u7387<\/span>\uff08\u51fa\u73b0\u6b63\u503c\uff09<\/span>\u6765\u8bc6\u522b\u8fd0\u52a8\u7c92\u5b50\u3002\u4e0b\u56fe\u4fbf\u662f\u89c4\u521954\u7684\u4e00\u7ef4\u5143\u80de\u81ea\u52a8\u673a\u7684\u5c40\u90e8\u71b5\u7387\u5206\u5e03\u56fe\u3002<\/span><\/p>\n

 <\/span><\/p>\n

<\/p>\n


<\/p>\n

\u770b\u5b8c\u4e86\u6b63\u4f8b\uff0c\u6211\u4eec\u4e5f\u6765\u770b\u4e00\u4e0b\u53cd\u4f8b\uff0c\u5373\u4ec0\u4e48\u65f6\u5019\u6ca1\u6709\u4fe1\u606f\u5b58\u50a8\u7684\u8fc7\u7a0b\u3002\u6bd4\u5982\u4e0b\u56fe\u6240\u793a\u768430\u53f7\u89c4\u5219\u5143\u80de\u81ea\u52a8\u673a\uff0c\u5c40\u90e8\u8fc7\u5269\u71b5\u548c\u5c40\u90e8\u6d3b\u8dc3<\/span>\u4fe1\u606f\u5b58\u50a8\u90fd\u6ca1\u6709\u5448\u73b0\u51fa\u6e05\u6670\u6709\u6307\u5411\u7684\u5206\u5e03\u3002\u4e8b\u5b9e\u4e0a\uff0c\u8fd9\u6837\u7684\u89c4\u5219\u5728\u5206\u7c7b\u4e2d\u6b63\u5c5e\u4e8e\u6df7\u6c8c\u7c7b\u578b\u89c4\u5219\u3002<\/span><\/p>\n


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

<\/p>\n


<\/p>\n

\u81f3\u6b64\uff0c\u6211\u4eec\u6765\u603b\u7ed3\u4e00\u4e0b\u4fe1\u606f\u5b58\u50a8\u76f8\u5173\u6307\u6807\u548c\u5bf9\u5e94\u7684\u6591\u56fe\u3002<\/span><\/p>\n


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

<\/p>\n


<\/p>\n


<\/p>\n

\n
\n
\n
\n
\n

<\/section>\n

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

2. \u4fe1\u606f\u8f6c\u79fb<\/strong><\/span><\/strong><\/strong><\/p>\n<\/section>\n

\n

<\/section>\n

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


<\/p>\n

\u4fe1\u606f\u8f6c\u79fb\u662f\u53e6\u4e00\u4e2a\u590d\u6742\u7cfb\u7edf\u975e\u7ebf\u6027\u884c\u4e3a\u7684\u91cd\u8981\u7ec4\u6210\u90e8\u5206\uff0c\u5e7f\u6cdb\u5b58\u5728\u4e8e\u5305\u62ec\u9c7c\u7fa4\u884c\u4e3a\u8f6c\u5411\u6ce2\u3001\u6676\u4f53\u4e2d\u56fa\u6001\u76f8\u53d8\u3001\u7a81\u89e6\u7ed3\u6784\u8bf1\u5bfc\u7b49\u7b49\u771f\u5b9e\u7cfb\u7edf\u884c\u4e3a\u5f53\u4e2d\u3002\u5728\u8fd9\u91cc\uff0c\u6211\u4eec\u91c7\u7528[4]\u4e2d\u5bf9\u4fe1\u606f\u8f6c\u79fb\u7684\u5f62\u5f0f\u5316\u5b9a\u4e49\uff1a\u4ece\u4e00\u4e2a\u6e90\u4e3b\u4f53\u5230\u4e00\u4e2a\u76ee\u6807\u4e3b\u4f53\u7684\u4fe1\u606f\u8f6c\u79fb\u6307\u7684\u662f\uff0c\u5173\u4e8e\u76ee\u6807\u4e3b\u4f53\u4e0b\u4e00\u65f6\u523b\u72b6\u6001\u7684\u4fe1\u606f\u5b58\u5728\u4e86\u6e90\u4e3b\u4f53\u90a3\u91cc\uff0c\u4f46\u6ca1\u6709\u5b58\u5728\u76ee\u6807\u4e3b\u4f53\u7684\u5386\u53f2\u5f53\u4e2d\u3002\u80fd\u591f\u5ea6\u91cf\u8fd9\u4e00\u7279\u6027\u7684\u6700\u4f73\u6307\u6807\u5c31\u662f\u8f6c\u79fb\u71b5<\/strong><\/span>\uff08transfer entropy\uff09<\/span>\u4e86\uff0c\u5982\u4e0b\u5f0f\u6240\u793a\u3002<\/span><\/p>\n


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

<\/p>\n


<\/p>\n

\u8be5\u5f0f\u5b50\u4e2d\uff0cY\u662f\u6e90\u4e3b\u4f53\uff0cX\u662f\u76ee\u6807\u4e3b\u4f53\uff0cp(wn<\/sub>)\u8868\u793a<\/sub><\/span>\u7684\u8054\u5408\u6982\u7387\u5206\u5e03\u3002\u5f53\u6211\u4eec\u53bb\u9664\u7528\u8054\u5408\u6982\u7387\u5206\u5e03\u6c42\u671f\u671b\u7684\u64cd\u4f5c\u540e\uff0c\u8ba1\u7b97\u7684\u4fbf\u662f\u5c40\u90e8\u8f6c\u79fb\u71b5\u4e86\u3002\u4e0b\u56fe\u5c55\u793a\u7684\u4fbf\u662f\u5c40\u90e8\u8f6c\u79fb\u71b5\u548c\u5c40\u90e8\u6d3b\u8dc3<\/span>\u4fe1\u606f\u5b58\u50a8\u7684\u533a\u522b\u3002\u8981\u6ce8\u610f\uff0c\u5c40\u90e8\u6d3b\u8dc3<\/span>\u4fe1\u606f\u5b58\u50a8\u4f5c\u4e3a\u4e00\u79cd\u4e92\u4fe1\u606f\u662f\u6ca1\u6709\u65b9\u5411\u7684\u6216\u8005\u8bf4\u662f\u53cc\u5411\u7684\uff0c\u800c\u5c40\u90e8\u8f6c\u79fb\u71b5\u662f\u6709\u65b9\u5411\u7684\u3002<\/span><\/p>\n


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

<\/p>\n


<\/p>\n

\u6b64\u65f6\u6211\u53ea\u8003\u8651\u4e86\u67d0\u4e00\u4e2a\u6e90\u5bf9\u76ee\u6807\u7684\u5f71\u54cd\uff0c\u4f46\u7cfb\u7edf\u672c\u8eab\u7684\u60c5\u51b5\u53ef\u80fd\u66f4\u4e3a\u590d\u6742\uff0c\u4e0d\u540c\u51e0\u4e2a\u6e90\u4e4b\u95f4\u4f1a\u5b58\u5728\u76f8\u4e92\u4f5c\u7528\u3002\u4e8e\u662f\u6211\u4eec\u8fdb\u4e00\u6b65\u53ef\u4ee5\u5bf9\u8f6c\u79fb\u71b5\u8fdb\u884c\u5206\u7c7b\uff0c\u5982\u4e0b\u56fe\u6240\u793a\uff0c\u5982\u679c\u6211\u4eec\u53ea\u8003\u8651\u67d0\u4e00\u4e2a\u6e90\u4e3b\u4f53\u8f6c\u79fb\u7684\u4fe1\u606f<\/span>\uff08\u5982\u4e0a\u9762\u516c\u5f0f\u6240\u63cf\u8ff0\u7684\u90a3\u6837\uff09<\/span>\uff0c\u90a3\u4e48\u5b83\u88ab\u79f0\u4e3a\u8868\u9762\u8f6c\u79fb\u71b5<\/strong><\/span>\uff08apparent transfer entropy\uff09<\/span>\u3002\u800c\u5982\u679c\u6211\u4eec\u60f3\u5ea6\u91cf\u53ea<\/strong>\u6765\u81ea\u4e8e\u67d0\u4e00\u4e2a\u6e90\uff0c\u540c\u65f6\u4e0d\u6765\u81ea\u4e8e\u76ee\u6807\u4e3b\u4f53\u81ea\u8eab\u7684\u5386\u53f2\uff0c\u4e5f\u4e0d\u6765\u81ea\u4e8e\u5176\u4ed6\u6f5c\u5728\u7684\u6e90\u4e3b\u4f53<\/strong>\u7684\u90a3\u90e8\u5206\u4fe1\u606f\u65f6\uff0c\u6211\u4eec\u8981\u8ba1\u7b97\u7684\u6307\u6807\u53eb\u505a\u5b8c\u5168\u8f6c\u79fb\u71b5<\/strong><\/span>\uff08complete transfer entropy\uff09<\/span>\uff0c\u5982\u4e0b\u56fe(b)\u6240\u793a\u3002<\/span><\/p>\n


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

<\/p>\n

 
<\/p>\n

\u56fe(b)\u4e2d<\/span><\/sub><\/span>\u8868\u793a\u7684\u4fbf\u662f\uff0c\u5728\u76ee\u6807\u4e3b\u4f53\u4e00\u5b9a\u8303\u56f4\u5927\u5c0f\uff08r\uff09\u7684\u9886\u57df\u5185\u9664\u4e86\u76ee\u6807\u4e3b\u4f53\u548c\u67d0\u4e00\u4e2a\u6e90\u4e3b\u4f53\u4ee5\u5916\u5176\u4ed6\u6f5c\u5728\u7684\u6e90\u4e3b\u4f53\u3002\u5728\u8ba1\u7b97\u4e2d\uff0c\u6211\u4eec\u4f1a\u628a\u5176\u4ed6\u6f5c\u5728\u6e90\u4e3b\u4f53\u653e\u5230\u6761\u4ef6\u4e92\u4fe1\u606f\u4e2d\u6761\u4ef6\u7684\u4f4d\u7f6e\u4e0a\u3002\u4e0b\u9762\u5c31\u662f\u5c40\u90e8\u5b8c\u5168\u8f6c\u79fb\u71b5\u7684\u8868\u8fbe\u5f0f\uff1a<\/span><\/p>\n


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

<\/p>\n


<\/p>\n

\u5982\u679c\u6211\u4eec\u628a\u6240\u6709\u53ef\u4ee5\u4f5c\u4e3a\u6e90\u7684\u4e3b\u4f53\u90fd\u8003\u8651\u8fdb\u6765\u8ba1\u7b97\u8f6c\u79fb\u71b5\u5462\uff1f\u8fd9\u4e2a\u6307\u6807\u5f53\u7136\u4e5f\u6709\u5bf9\u5e94\u7684\u610f\u4e49\uff0c\u53ef\u4ee5\u88ab\u79f0\u4e3a\u96c6\u4f53\u8f6c\u79fb\u71b5<\/strong><\/span>\uff08collective transfer entropy\uff09<\/span>\u3002\u6709\u610f\u601d\u7684\u662f\uff0c\u5982\u679c\u5728\u4e00\u4e2a\u5b8c\u5168\u786e\u5b9a\u7684\u7cfb\u7edf\u4e2d<\/span>\uff08\u6bd4\u5982\u521d\u7b49\u5143\u80de\u81ea\u52a8\u673a\uff09<\/span>\uff0c\u96c6\u4f53\u8f6c\u79fb\u71b5\u5c31\u7b49\u4ef7\u4e8e\u71b5\u7387\u3002\u8fd9\u4e2a\u7b49\u4ef7\u5173\u7cfb\u6240\u53cd\u6620\u7684\u4e8b\u5b9e\u662f\uff0c\u9664\u53bb\u4e00\u4e2a\u7ec6\u80de\u7684\u5386\u53f2\u4fe1\u606f\u4ee5\u5916\uff0c\u8be5\u7ec6\u80de\u4e0b\u4e00\u65f6\u523b\u72b6\u6001\u7684\u5269\u4f59\u4e0d\u786e\u5b9a\u6027\u5c31\u6765\u81ea\u4e8e\u5176\u4ed6\u7ec6\u80de\u5bf9\u5b83\u7684\u76f8\u4e92\u4f5c\u7528\u3002\u8981\u6ce8\u610f\uff0c\u96c6\u4f53\u8f6c\u79fb\u71b5\u5e76\u4e0d\u7b80\u5355\u7b49\u4e8e\u6240\u6709\u6e90\u7684\u8868\u9762\u6216\u5b8c\u5168\u8f6c\u79fb\u71b5\u4e4b\u548c\uff0c\u6b63\u5982\u8054\u5408\u4e92\u4fe1\u606f\u4e0d\u7b49\u4e8e\u4e92\u4fe1\u606f\u4e4b\u548c\u4e00\u6837\u3002\u8fd9\u6697\u793a\u4e86\u6211\u4eec\u9700\u8981\u4fe1\u606f\u5206\u89e3\u6846\u67b6\u6765\u89e3\u91ca\u5b83\u4eec\u4e4b\u95f4\u7684\u5173\u7cfb\uff0c\u8bfb\u8005\u53ef\u53c2\u9605\u300a\u4ece\u5206\u89e3\u5230\u6574\u5408\uff1a\u6574\u5408\u4fe1\u606f\u5206\u89e3\u6846\u67b6<\/a>\u300b\u3002<\/span><\/p>\n


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

\u63a5\u4e0b\u6765\u6211\u4eec\u56de\u5230\u5143\u80de\u81ea\u52a8\u673a\u7684\u6848\u4f8b\uff0c\u770b\u770b\u4fe1\u606f\u8f6c\u79fb\u5982\u4f55\u5728\u5143\u80de\u81ea\u52a8\u673a\u4e2d\u88ab\u5ea6\u91cf\u3002<\/span><\/p>\n


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

<\/p>\n


<\/p>\n

\u56fe\u4e2d\u6240\u5c55\u793a\u7684\u662f18\u53f7\u89c4\u5219\u5143\u80de\u81ea\u52a8\u673a\u548c\u5404\u79cd\u6307\u6807\u7684\u5206\u5e03\u56fe\uff0c67\u4e2a\u7ec6\u80de\u768467\u4e2a\u65f6\u95f4\u6b65\u3002\u56fe(d-h)\u5c55\u793a\u7684\u5c31\u662f\u5404\u79cd\u5c40\u90e8\u8f6c\u79fb\u71b5<\/span>\uff08\u5982\u524d\u6587\u6240\u8ff0\uff0c\u5c40\u90e8\u71b5\u7387\u5c31\u662f\u5c40\u90e8\u96c6\u4f53\u8f6c\u79fb\u71b5\uff0ctc<\/sup>\u8868\u793a\u5c40\u90e8\u5b8c\u5168\u8f6c\u79fb\u71b5\uff0c\u6ca1\u6709\u4e0a\u6807\u7684t\u8868\u793a\u5c40\u90e8\u8868\u9762\u8f6c\u79fb\u71b5\uff09<\/span>\uff0c\u5176\u4e2dj=1\u548c-1\u5206\u522b\u8868\u793a\u6e90\u4e3b\u4f53\u5728\u76ee\u6807\u4e3b\u4f53\u7684\u5de6\u4fa7\u548c\u53f3\u4fa7\uff1b\u56fe(i)\u4e0e\u4fe1\u606f\u4fee\u6b63\u6709\u5173\uff0c\u4f1a\u5728\u540e\u9762\u7684\u7ae0\u8282\u4e2d\u8ba8\u8bba\u3002\u53ef\u4ee5\u770b\u5230\uff0c\u76f8\u6bd4\u4e8e\u5c40\u90e8\u6d3b\u8dc3<\/span>\u4fe1\u606f\u5b58\u50a8\u7b49\u6307\u6807\uff0c\u5c40\u90e8\u8f6c\u79fb\u71b5\u80fd\u66f4\u6e05\u6670\u5730\u6355\u6349\u8fd0\u52a8\u7c92\u5b50\u3002\u4e8b\u5b9e\u4e0a\uff0c\u5bf9\u4e8e\u4e00\u4e2a\u8fd0\u52a8\u7c92\u5b50\u6765\u8bf4\uff0c\u5c40\u90e8\u8f6c\u79fb\u71b5\u66f4\u503e\u5411\u4e8e\u6807\u8bb0\u5b83\u5728\u65f6\u95f4\u8f74\u4e0a\u6700\u524d\u6cbf\u7684\u8fb9\u754c\uff0c\u56e0\u4e3a\u53ea\u6709\u5728\u8fd9\u91cc\u4e3b\u8981\u53d1\u751f\u4fe1\u606f\u8f6c\u79fb\uff0c\u800c\u5728\u7c92\u5b50\u7684\u5176\u4ed6\u533a\u57df\u5219\u4e3b\u8981\u53d1\u751f\u4fe1\u606f\u5b58\u50a8\u3002<\/span><\/p>\n


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

\u524d\u6587\u8ba8\u8bba\u8fc7\uff0c\u5386\u53f2\u957f\u5ea6k\u7684\u9009\u53d6\u5bf9\u7ed3\u679c\u975e\u5e38\u91cd\u8981\uff0c\u5728\u8f6c\u79fb\u71b5\u8fd9\u91cc\u4e5f\u662f\u5982\u6b64\uff0c\u5b83\u5173\u4e4e\u5230\u6709\u6ca1\u6709\u53bb\u9664\u4fe1\u606f\u5b58\u50a8\u7684\u90e8\u5206\u3002\u5f53k\u8f83\u5c0f\u65f6\uff0c\u8f6c\u79fb\u71b5\u4e2d\u6709\u4e00\u90e8\u5206\u4fe1\u606f\u662f\u76ee\u6807\u4e3b\u4f53\u7684\u5386\u53f2\u6240\u63d0\u4f9b\uff0c\u6240\u4ee5\u4e3a\u4e86\u6355\u6349\u5230\u7eaf\u7cb9\u7684\u4fe1\u606f\u8f6c\u79fb\uff0ck\u7684\u53d6\u503c\u8d8a\u5927\u8d8a\u597d\u3002\u4e0b\u56fe\u662f\u968f\u7740k\u7684\u589e\u5927\uff0c\u5404\u79cd\u8f6c\u79fb\u71b5\u7684\u53d8\u5316\u66f2\u7ebf\u3002<\/span><\/p>\n


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

<\/p>\n


<\/p>\n

\u53e6\u5916\u4ece18\u53f7\u89c4\u5219\u5143\u80de\u81ea\u52a8\u673a\u7684\u8f6c\u79fb\u71b5\u5206\u5e03\u56fe\u4e2d\u4e5f\u80fd\u53d1\u73b0\uff0c\u5bf9\u4e8e\u57df\uff0c\u4e5f\u6709\u5fae\u5f31\u7684\u4fe1\u606f\u8f6c\u79fb\u3002\u6709\u65f6\u5019\u4f1a\u56e0\u4e3ak\u4e0d\u591f\u5927\u800c\u51fa\u73b0\u865a\u5047\u7684\u4fe1\u606f\u8f6c\u79fb\uff0c\u4f46\u8fd9\u91cc\u4e0d\u662f\u8fd9\u79cd\u60c5\u51b5\u3002\u8fd9\u79cd\u5fae\u5f31\u7684\u4fe1\u606f\u8f6c\u79fb\u662f\u4e00\u79cd\u73af\u5883\u8f6c\u79fb<\/strong><\/span>\uff08ambient transfer\uff09<\/span>\uff0c\u6355\u6349\u7684\u662f\u6ed1\u884c\u4f53\u7684\u7f3a\u5e2d\u3002\u6ed1\u884c\u4f53\u4f5c\u4e3a\u4e00\u79cd\u7c92\u5b50\uff0c\u6807\u5fd7\u7740\u4e00\u4e2a\u57df\u7684\u8fb9\u754c\uff0c\u800c\u6ca1\u6709\u6ed1\u884c\u4f53\u51fa\u73b0\uff0c\u5176\u5b9e\u5c31\u662f\u5728\u544a\u8bc9\u7ec6\u80de\u8981\u7ee7\u7eed\u7ef4\u6301\u8fd9\u4e2a\u57df\uff0c\u800c\u8fd9\u4e5f\u662f\u4e00\u79cd\u4fe1\u606f\uff0c\u53ea\u4e0d\u8fc7\u76f8\u6bd4\u4e8e\u6ed1\u884c\u4f53\u7684\u51fa\u73b0\u800c\u8a00\u4fe1\u606f\u8f6c\u79fb\u7684\u503c\u4e0d\u9ad8\u3002\u4e3a\u4ec0\u4e48\u5c40\u90e8\u8868\u9762\u8f6c\u79fb\u71b5\u5206\u5e03\u56fe<\/span>\uff0818\u53f7\u5143\u80de\u81ea\u52a8\u673a\u56fe(e)(f)\uff09<\/span>\u91cc\u6ca1\u6709\u4f53\u73b0\u8fd9\u4e00\u70b9\u5462\uff1f\u572818\u53f7\u89c4\u5219\u5143\u80de\u81ea\u52a8\u673a\u91cc\uff0c\u57df\u91cc\u7684\u4fe1\u606f\u8f6c\u79fb\u5b9e\u5219\u662f\u4e00\u4e2a\u5f02\u6216\u95e8\u8fc7\u7a0b\uff1a\u4e00\u4e2a\u76ee\u6807\u4e3b\u4f53\u7684\u72b6\u6001\u662f\u7531\u591a\u4e2a\u6e90XOR\u8fd0\u7b97\u5f97\u5230\u7684\uff0c\u5f53\u6709\u67d0\u4e00\u4e2a\u6e90\u672a\u77e5\u65f6\uff0c\u5176\u4ed6\u6e90\u5bf9\u76ee\u6807\u7684\u4fe1\u606f\u8f6c\u79fb\u90fd\u662f0<\/span>\uff08\u5c40\u90e8\u8868\u9762\u8f6c\u79fb\u71b5\u4e3a0\uff09<\/span>\uff0c\u800c\u5f53\u5176\u4ed6\u6e90\u72b6\u6001\u5df2\u77e5\u65f6\uff0c\u5269\u4f59\u7684\u6e90\u53ef\u4ee5\u5b8c\u5168\u786e\u5b9a\u76ee\u6807\u4e3b\u4f53\u4e0b\u4e00\u65f6\u523b\u72b6\u6001<\/span>\uff08\u5c40\u90e8\u5b8c\u5168\u8f6c\u79fb\u71b5\u548c\u5c40\u90e8\u71b5\u7387\u90fd\u4e3a1bit\uff09<\/span>\u3002<\/span><\/p>\n


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

\u4f46\u8fd9\u4e5f\u4e0d\u610f\u5473\u7740\u5c40\u90e8\u8868\u9762\u8f6c\u79fb\u71b5\u5c31\u6ca1\u6709\u989d\u5916\u7684\u4f5c\u7528\u4e86\u3002\u5bf9\u6bd4\u8868\u9762\u8f6c\u79fb\u71b5\u548c\u5b8c\u5168\u8f6c\u79fb\u71b5\uff0c\u6211\u4eec\u4f1a\u53d1\u73b0\u5c40\u90e8\u8868\u9762\u8f6c\u79fb\u71b5\u4f1a\u51fa\u73b0\u8d1f\u503c\uff0c\u800c\u8fd9\u4e0e\u65b9\u5411\u6709\u5173\u3002\u5bf9\u6bd418\u53f7\u5143\u80de\u81ea\u52a8\u673a\u7684\u56fe(e)\u4e0e(f)\uff0c\u4e24\u4e2a\u65b9\u5411\u7684\u5c40\u90e8\u8868\u9762\u8f6c\u79fb\u71b5\u6709\u4e00\u79cd\u4e92\u8865\u7684\u5173\u7cfb\uff0c\u5176\u4e2d\u4e00\u4e2a\u4e3a\u6b63\u503c\u65f6\u53e6\u4e00\u4e2a\u4e3a\u8d1f\u503c\u3002\u56e0\u4e3a\u9009\u9519\u4e86\u6e90\u4e3b\u4f53\uff0c\u8f6c\u79fb\u7684\u4fe1\u606f\u53cd\u5012\u4f1a\u8d77\u8bef\u5bfc\u7684\u4f5c\u7528\u3002\u800c\u5c40\u90e8\u5b8c\u5168\u8f6c\u79fb\u71b5\u56e0\u4e3a\u8003\u8651\u4e86\u4e00\u5b9a\u8303\u56f4\u5185\u6240\u6709\u7684\u6e90\uff0c\u6240\u4ee5\u67d0\u4e00\u4e2a\u6e90\u6700\u5dee\u4e5f\u662f\u6ca1\u6709\u63d0\u4f9b\u4efb\u4f55\u4fe1\u606f\uff0c\u800c\u4e0d\u4f1a\u8bef\u5bfc\u89c2\u5bdf\u8005\u3002<\/span><\/p>\n


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

\u4fe1\u606f\u8f6c\u79fb\u591a\u5fae\u5f31\u624d\u7b97\u662f\u73af\u5883\u8f6c\u79fb\u5462\uff1f\u8fd9\u5176\u5b9e\u9700\u8981\u548c\u5c40\u90e8\u6d3b\u8dc3<\/span>\u4fe1\u606f\u5b58\u50a8a(i,n)\u505a\u5bf9\u6bd4\u3002\u56e0\u4e3a\u73af\u5883\u8f6c\u79fb\u53d1\u751f\u5728\u57df\u4e0a\uff0c\u6240\u4ee5\u6b64\u65f6a(i,n)\u4ecd\u662f\u6b63\u503c\uff0c\u5373\u5143\u80de\u6ca1\u6709\u88ab\u8f6c\u79fb\u6765\u7684\u4fe1\u606f\u6240\u8bef\u5bfc\u3002\u5982\u679c\u5c40\u90e8\u8868\u9762\u8f6c\u79fb\u71b5t(i,j,n)<a(i,n)\uff0c\u90a3\u4e48\u8fd9\u5c31\u662f\u5fae\u5f31\u7684\u73af\u5883\u8f6c\u79fb\uff0c\u800c\u5982\u679ct(i,j,n)>a(i,n), \u90a3\u4e48\u8fd9\u53ef\u4ee5\u88ab\u770b\u505a\u662f\u4e00\u4e2a\u5f31\u52a8\u6001\u7c92\u5b50<\/strong><\/span>\uff08\u539f\u6587\u79f0\u4f5c\u201c\u6ed1\u884c\u4f53\u7684\u5c3e\u8ff9\u201d\uff0cthe “wake” of a glider\uff09<\/span>\u3002\u5b83\u4e5f\u7b97\u662f\u4e00\u79cd\u6ed1\u884c\u4f53\uff0c \u53ea\u4e0d\u8fc7\u6bd4\u8f83\u5f31\u5c0f\uff0c\u4e0d\u8db3\u4ee5\u6253\u7834\u57df\u7684\u6301\u7eed\u3002<\/span><\/p>\n


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

\u5173\u4e8e\u8f6c\u79fb\u71b5\u7684\u5e94\u7528\u4e2d\uff0c\u6709\u4e00\u4e2a\u975e\u5e38\u8457\u540d\u7684\u6982\u5ff5\u2014\u2014\u683c\u5170\u6770\u56e0\u679c\u3002\u4f46\u662f\uff0c\u8f6c\u79fb\u71b5\u662f\u5426\u771f\u6b63\u523b\u753b\u4e86\u56e0\u679c\u5173\u7cfb\uff1f\u6211\u4eec\u90fd\u77e5\u9053\u76f8\u5173\u975e\u56e0\u679c\uff0c\u56e0\u679c\u5173\u7cfb\u7684\u523b\u753b\u5e94\u5f53\u4e0d\u53ea\u4f9d\u8d56\u4e8e\u65f6\u95f4\u5148\u540e\u7684\u533a\u522b\u3002Pearl \u4e3a\u4e86\u5b9a\u91cf\u5316\u56e0\u679c\u5173\u7cfb\uff0c\u63d0\u51fa\u4e86\u5e72\u9884<\/strong><\/span>\uff08intervention\uff09<\/span>\u8fd9\u4e00\u6982\u5ff5[5]\u3002\u5b83\u672c\u8d28\u4e0a\u662f\u5728\u95ee\u8fd9\u6837\u4e00\u4e2a\u95ee\u9898\uff1a\u5982\u679c\u6211\u6539\u53d8\u4e86\u6e90\u7684\u72b6\u6001\uff0c\u76ee\u6807\u7684\u72b6\u6001\u4f1a\u5728\u591a\u5927\u7a0b\u5ea6\u4e0a\u53d1\u751f\u6539\u53d8<\/strong>\uff1f\u6cbf\u7740Pearl\u7684\u6846\u67b6\u7ee7\u7eed\u53d1\u5c55\uff0cAy\u548cPolani\u63d0\u51fa\u4e86\u4fe1\u606f\u6d41<\/strong><\/span>\uff08information flow\uff09<\/span>\u8fd9\u4e00\u6307\u6807\uff0c\u65e8\u5728\u6355\u83b7\u8f6c\u79fb\u71b5\u6355\u83b7\u4e0d\u5230\u7684\u56e0\u679c\u6548\u5e94[6]\u3002\u6211\u4eec\u76f4\u63a5\u6765\u770b\u5c40\u90e8\u4fe1\u606f\u6d41\u7684\u8868\u8fbe\u5f0f\u3002<\/span><\/p>\n


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

<\/p>\n


<\/p>\n

\u516c\u5f0f\u91cc\u51fa\u73b0\u4e86\u4e00\u4e2a\u65b0\u7684\u6982\u5ff5\uff0c\u5728\u5e72\u9884\u53d1\u751f\u540e\u7684\u6761\u4ef6\u6982\u7387\uff08<\/sub><\/span>\u8868\u793a\u5bf9s\u8fdb\u884c\u4e86\u5e72\u9884\uff09\u3002\u901a\u8fc7\u4e0b\u9762\u7684\u5f0f\u5b50\u6211\u4eec\u6765\u770b\u8fd9\u6837\u7684\u5e72\u9884\u662f\u5982\u4f55\u8ba1\u7b97\u7684\u3002<\/span><\/p>\n


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

<\/p>\n


<\/p>\n

\u53ef\u4ee5\u770b\u5230\uff0c\u4e3a\u4e86\u8ba1\u7b97<\/sub><\/span>\uff0c\u6211\u4eec\u9700\u8981\u5f15\u5165\u53d8\u91cfu\u3002u\u6307\u7684\u662f\u6240\u6709\u4f1a\u5bf9x\u4ea7\u751f\u5f71\u54cd\u7684\u53d8\u91cf\uff0c\u800c\u901a\u8fc7\u6c42\u671f\u671b\u7684\u64cd\u4f5c\uff0c\u76f8\u5f53\u4e8e\u5728\u56e0\u679c\u56fe\u4e2d\u6d88\u9664\u4e86\u6240\u6709\u6307\u5411x\u7684\u56e0\u679c\u7bad\u5934\uff0c\u4ece\u800c\u5b8c\u6210\u5bf9x\u7684\u5e72\u9884\u3002\u8ddf\u56e0\u679c\u56fe\u76f8\u5173\u7684\u6982\u5ff5\uff0c\u8bfb\u8005\u53ef\u4ee5\u53c2\u8003\u6587\u7ae0\u300a\u56e0\u679c\u56fe\u7684\u6982\u5ff5\u53ca\u5176\u5e94\u7528<\/a>\u300b\u3002\u901a\u8fc7\u4e0b\u9762\u8fd9\u5f20\u56fe\uff0c\u6211\u4eec\u518d\u6765\u4f53\u4f1a\u4e00\u4e0b\u5143\u80de\u81ea\u52a8\u673a\u4e2d\u5982\u4f55\u8ba1\u7b97\u5e72\u9884\u540e\u7684\u6761\u4ef6\u6982\u7387\u3002<\/span><\/p>\n


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

<\/p>\n


<\/p>\n

\u5982\u56fe\u6240\u793a\uff0c\u6e90\u4e3b\u4f53\u662fXi-1<\/sub>\uff0c\u76ee\u6807\u4e3b\u4f53\u662fXi<\/sub>\uff0c\u6211\u4eec\u60f3\u8981\u8ba1\u7b97\u7684\u5c40\u90e8\u4fe1\u606f\u6d41\u662f\u4ecea\u5230b\u7684\u3002\u5f53\u201c\u73af\u5883\u201ds\u9700\u8981\u88ab\u5e72\u9884\u65f6<\/span>\uff08s\u6307\u7684\u662f\u9664\u4e86a\u4ee5\u5916\u80fd\u591f\u5f71\u54cdb\u7684\u53d8\u91cf\uff09<\/span>\uff0c\u6211\u4eec\u8981\u5f15\u5165\u7684\u53d8\u91cfu\uff0c\u5c31\u662fn-1\u65f6\u523b\u90a3\u56db\u4e2a\u80fd\u591f\u5f71\u54cds\u7684\u53d8\u91cf\u4e86\u3002\u5f53\u7136\uff0c\u5728\u5e72\u9884a\u65f6\uff0c\u6211\u4eec\u8fd8\u8981\u628a\u53d8\u91cfXi-2,n-1<\/sub>\u8003\u8651\u8fdb\u6765\uff0c\u56e0\u4e3a\u5b83\u80fd\u591f\u5f71\u54cda\u3002<\/span><\/p>\n


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

\u90a3\u5c40\u90e8\u4fe1\u606f\u6d41\u8fd9\u4e2a\u6307\u6807\u5728\u5143\u80de\u81ea\u52a8\u673a\u4e0a\u7684\u4f7f\u7528\u6548\u679c\u5982\u4f55\u5462\uff1f\u4e0b\u56fe\u662f45\u4e2a\u7ec6\u80de\u5927\u5c0f\u768454\u53f7\u5143\u80de\u81ea\u52a8\u673a\uff0c\u5bf9\u6bd4\u56fe(b)\u4e0e(c)\u4e0d\u96be\u770b\u51fa\uff0c\u5c40\u90e8\u4fe1\u606f\u6d41\u4e0ek=1\u65f6\u7684\u5c40\u90e8\u5b8c\u5168\u8f6c\u79fb\u71b5\u4f5c\u7528\u662f\u76f8\u5f53\u7684<\/span>\uff08\u5728\u56e0\u679c\u7ed3\u6784\u975e\u5e38\u6e05\u6670\u7684\u5143\u80de\u81ea\u52a8\u673a\u4e0a\u662f\u5982\u6b64\uff0c\u6362\u4e00\u4e2a\u7cfb\u7edf\u4e0d\u4e00\u5b9a\u6ee1\u8db3\u7b49\u4ef7\u5173\u7cfb\uff09<\/span>\uff0c\u6355\u6349\u7684\u662f\u6240\u6709\u7684\u76f4\u63a5\u56e0\u679c\u6548\u5e94\u3002\u5728\u57df\u4e0a\u56e0\u679c\u6548\u5e94\u666e\u904d\u5b58\u5728\uff0c\u800c\u8fd9\u4e00\u70b9\u5728\u8003\u8651\u76f8\u5f53\u957f\u5386\u53f2\u4fe1\u606f\u7684\u5c40\u90e8\u8f6c\u79fb\u71b5\u4e2d\u90fd\u4e22\u5931\u4e86\u3002\u4e0e\u6b64\u540c\u65f6\uff0c\u539f\u672c\u5c40\u90e8\u8f6c\u79fb\u71b5\u80fd\u591f\u8bc6\u522b\u7684\u6d8c\u73b0\u7684\u6591\u56fe\u5219\u6ca1\u6709\u88ab\u5c40\u90e8\u4fe1\u606f\u6d41\u8bc6\u522b\u51fa\u6765\uff0c\u56e0\u4e3a\u66f4\u957f\u5468\u671f\u7684\u53d8\u5316\u5f80\u5f80\u88ab\u50a8\u5b58\u8d77\u6765\uff0c\u76f4\u81f3\u82e5\u5e72\u6b65\u540e\u518d\u63d0\u53d6\u3002\u5c40\u90e8\u4fe1\u606f\u6d41\u6307\u6807\u6ca1\u6709\u8003\u8651\u66f4\u957f\u7684\u5386\u53f2\uff0c\u81ea\u7136\u65e0\u6cd5\u8bc6\u522b\u51fa\u66f4\u957f\u5468\u671f\u7684\u6591\u56fe\u3002<\/span><\/p>\n


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

<\/p>\n


<\/p>\n

\u81f3\u6b64\uff0c\u6211\u4eec\u5c55\u793a\u4e86\u6240\u6709\u548c\u4fe1\u606f\u8f6c\u79fb\u76f8\u5173\u7684\u8ba1\u7b97\u6307\u6807\uff0c\u5982\u4e0b\u8868\u6240\u793a\u3002<\/span><\/p>\n


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

<\/p>\n


<\/p>\n

\u5173\u4e8e\u5143\u80de\u81ea\u52a8\u673a\u6d8c\u73b0\u7ed3\u6784\u7684\u8bc6\u522b\uff0c\u6211\u4eec\u53ef\u4ee5\u4ece\u4fe1\u606f\u8f6c\u79fb\u7684\u89d2\u5ea6\u603b\u7ed3\u51fa\u4ee5\u4e0b\u5224\u65ad\u51c6\u5219\uff1a<\/span><\/p>\n

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

<\/section>\n


<\/p>\n

\n
\n
\n
\n
\n

<\/section>\n

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

3. \u4fe1\u606f\u4fee\u6b63<\/strong><\/span><\/strong><\/strong><\/p>\n<\/section>\n

\n

<\/section>\n

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


<\/p>\n

\u524d\u9762\u7684\u8ba8\u8bba\u5176\u5b9e\u4e00\u76f4\u6ca1\u6709\u6d89\u53ca\u4e00\u79cd\u60c5\u51b5\uff0c\u5982\u679c\u4e24\u4e2a\u7c92\u5b50\u76f8\u649e\u600e\u4e48\u529e\uff1f\u8fd9\u5b9e\u9645\u4e0a\u5173\u4e4e\u7b2c\u4e09\u79cd\u4fe1\u606f\u52a8\u529b\u5b66\uff0c\u4fe1\u606f\u4fee\u6b63<\/span>\uff08information modification\uff09<\/span>\u3002\u4fe1\u606f\u4fee\u6b63\u53ef\u4ee5\u88ab\u89e3\u91ca\u4e3a\u4ece\u4e0d\u540c\u6e90\u4f20\u9012\u6765\u7684\u4fe1\u606f\u7684\u4ea4\u4e92\uff0c\u65e0\u8bba\u4f20\u9012\u6765\u7684\u4fe1\u606f\u662f\u4e00\u79cd\u4fe1\u606f\u5b58\u50a8\u8fd8\u662f\u4fe1\u606f\u8f6c\u79fb\uff0c\u800c\u8fd9\u79cd\u4ea4\u4e92\u5bfc\u81f4\u4e86\u4fee\u6b63\u73b0\u8c61\u7684\u53d1\u751f\u3002\u6211\u4eec\u6765\u770b\u5143\u80de\u81ea\u52a8\u673a\u91cc\u4e24\u4e2a\u6ed1\u884c\u4f53\u76f8\u649e\u7684\u60c5\u5f62\u3002<\/span><\/p>\n


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

<\/p>\n


<\/p>\n

\u4e0a\u56fe(a)\u5c55\u793a\u4e86\u4e00\u4e2a\u6ed1\u884c\u4f53\u4ece\u5de6\u4e0a\u89d2\u800c\u6765\uff0c\u5c5e\u4e8e\u4e00\u79cd\u5178\u578b\u7684\u4fe1\u606f\u8f6c\u79fb\u884c\u4e3a\u3002\u5176\u4e2d\u552f\u6709\u6b63\u786e\u65b9\u5411\u7684\u8f6c\u79fb\u71b5\u8ba1\u7b97\u51fa\u6765\u7684\u6b63\u503c\uff0c\u800c\u5c40\u90e8\u6d3b\u8dc3<\/span>\u4fe1\u606f\u5b58\u50a8\u548c\u53e6\u4e00\u4e2a\u65b9\u5411\u7684\u5c40\u90e8\u8f6c\u79fb\u71b5\u90fd\u662f\u8d1f\u503c\u3002\u5f53\u7136\uff0c\u8fd9\u4f3c\u4e4e\u5c31\u5df2\u7ecf\u6ee1\u8db3\u4e86\u6211\u4eec\u5bf9\u4fe1\u606f\u4fee\u6b63\u7684\u5b9a\u4e49\uff0c\u800c\u56fe(a)\u4e2d\u7684\u60c5\u5f62\u786e\u5b9e\u53ef\u4ee5\u53d1\u751f\u4e00\u79cd\u8f6f\u78b0\u649e<\/strong><\/span>\uff08soft collision\uff09<\/span>\u3002\u800c\u4e0e\u8f6f\u78b0\u649e\u76f8\u5bf9\u5e94\u7684\uff0c\u5c31\u662f\u786c\u78b0\u649e<\/strong><\/span>\uff08hard collision\uff09<\/span>\uff0c\u5373\u56fe(b)\u4e2d\u7684\u60c5\u5f62\uff0c\u5728\u540e\u6587\u4e2d\u5c06\u66f4\u52a0\u7ec6\u81f4\u8ba8\u8bba\u8fd9\u4e24\u79cd\u78b0\u649e\u3002\u5f53\u4e24\u4e2a\u6ed1\u884c\u4f53\u76f8\u9047\u65f6\uff0c\u4efb\u4f55\u4e00\u4e2a\u6ed1\u884c\u4f53\u90fd\u6ca1\u529e\u6cd5\u6309\u7167\u81ea\u5df1\u56fa\u6709\u7684\u89c4\u5f8b\u6765\u51c6\u786e\u9884\u6d4b\u4e0b\u4e00\u65f6\u523b\u5143\u80de\u7684\u72b6\u6001\uff0c\u6240\u4ee5\u5c40\u90e8\u8f6c\u79fb\u71b5\u90fd\u662f\u8d1f\u503c\u3002\u5bf9\u4e8e\u6070\u597d\u5904\u4e8e\u78b0\u649e\u70b9\u7684\u5143\u80de\u6765\u8bf4\uff0c\u66f4\u662f\u65e0\u6cd5\u9884\u6599\u4e24\u4e2a\u6ed1\u884c\u4f53\u7684\u78b0\u649e\u4f1a\u7ed9\u81ea\u5df1\u7684\u201c\u547d\u8fd0\u201d\u5e26\u6765\u4f55\u79cd\u53d8\u5316\uff0c\u6240\u4ee5\u5c40\u90e8\u6d3b\u8dc3<\/span>\u4fe1\u606f\u5b58\u50a8\u4e5f\u662f\u8d1f\u503c\u3002<\/span><\/p>\n


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

\u90a3\u6211\u4eec\u53ef\u4ee5\u7528\u4ec0\u4e48\u6307\u6807\u6765\u8bc6\u522b\u8fd9\u79cd\u4e0d\u5e73\u51e1\u7684\u4fe1\u606f\u4fee\u6b63\u5462\uff1f\u672c\u6587\u4f5c\u8005Lizier\u63d0\u51fa\u53ef\u5206\u79bb\u4fe1\u606f<\/strong><\/span>\uff08separable information\uff09<\/span>\u6765\u89e3\u51b3\u8fd9\u4e00\u95ee\u9898[7]\u3002\u8001\u6837\u5b50\uff0c\u6211\u4eec\u76f4\u63a5\u6765\u770b\u5b83\u7684\u5c40\u90e8\u8868\u8fbe\u5f62\u5f0f\u3002<\/span><\/p>\n


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

<\/p>\n


<\/p>\n

\u5982\u679c\u4f60\u5df2\u7406\u89e3\u4e86\u4fe1\u606f\u5b58\u50a8\u548c\u4fe1\u606f\u8f6c\u79fb\u7684\u6570\u5b66\u8bed\u8a00\uff0c\u90a3\u4e0d\u96be\u770b\u51fa\u5c40\u90e8\u53ef\u5206\u79bb\u4fe1\u606f\u5c31\u662f\u628a\u5c40\u90e8\u6d3b\u8dc3<\/span>\u4fe1\u606f\u5b58\u50a8\u548c\u4e00\u5b9a\u9886\u57df\u5185\u6240\u6709\u6e90\u7684\u5404\u81ea\u7684\u5c40\u90e8\u8868\u9762\u8f6c\u79fb\u71b5\u52a0\u5728\u4e00\u8d77\uff0c\u4e0b\u56fe\u662f\u5bf9\u8be5\u6307\u6807\u7684\u4e00\u4e2a\u56fe\u89e3\u3002\u867d\u7136\u5b83\u6570\u5b66\u8868\u8fbe\u5f0f\u6bd4\u8f83\u7b80\u5355\uff0c\u4f46\u6211\u4eec\u9700\u8981\u8fdb\u4e00\u6b65\u60f3\u6e05\u695a\u5b83\u7684\u7269\u7406\u542b\u4e49\u3002\u53ef\u5206\u79bb\u4fe1\u606f\u5b9e\u9645\u4ee3\u8868\u7684\u662f\uff0c\u5728\u5bf9\u67d0\u4e00\u4e2a\u5143\u80de\u4e0b\u4e00\u65f6\u523b\u505a\u9884\u6d4b\u65f6\uff0c\u6211\u4eec\u80fd\u5426\u5bf9\u6240\u6709\u6e90\u8fdb\u884c\u5206\u522b\u5355\u72ec\u5730\u89c2\u6d4b\u3002\u5982\u679cs(i,n,k)\u662f\u8d1f\u503c\uff0c\u5c31\u610f\u5473\u7740\u6240\u6709\u6e90\u5355\u72ec\u5bf9\u76ee\u6807\u63d0\u4f9b\u7684\u4fe1\u606f\u52a0\u5728\u4e00\u8d77\u90fd\u4e0d\u8db3\u4ee5\u8ba9\u89c2\u5bdf\u8005\u5bf9\u76ee\u6807\u505a\u51fa\u6b63\u786e\u7684\u9884\u6d4b\uff0c\u8981\u60f3\u51c6\u786e\u9884\u6d4b\u76ee\u6807\u4e3b\u4f53\u4e0b\u4e00\u65f6\u523b\u72b6\u6001\uff0c\u6211\u4eec\u5fc5\u987b\u8981\u628a\u6240\u6709\u7684\u6e90\u4f5c\u4e3a\u4e00\u4e2a\u6574\u4f53<\/strong>\u6765\u89c2\u6d4b\uff0c\u5373\u8003\u8651\u5230\u6e90\u4e0e\u6e90\u4e4b\u95f4\u7684\u4ea4\u4e92\u4f5c\u7528\u3002<\/span><\/p>\n


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

<\/p>\n


<\/p>\n

\u6211\u4eec\u56de\u8fc7\u5934\u6765\u770b18\u53f7\u5143\u80de\u81ea\u52a8\u673a\u4e2d\u5e94\u7528\u53ef\u5206\u79bb\u4fe1\u606f\u6307\u6807\u7684\u6548\u679c\uff0c\u5982\u4e0b\u56fe\u6240\u793a\u3002\u5706\u5708\u6240\u6807\u8bb0\u7684\u4e09\u4e2a\u5927\u7ea2\u70b9\u4fbf\u662f\u53d1\u751f\u4e24\u4e2a\u6ed1\u884c\u4f53\u786c\u78b0\u649e\u7684\u5730\u65b9\uff0c\u53ef\u89c1\u5c40\u90e8\u53ef\u5206\u79bb\u4fe1\u606f\u53ef\u4ee5\u6e05\u6670\u5730\u5728\u53d1\u751f\u786c\u78b0\u649e\u7684\u5730\u65b9\u663e\u73b0\u51fa\u8d1f\u503c\u3002\u4e09\u4e2a\u7ea2\u70b9\u7684\u4e0a\u65b9\u5b58\u5728\u4e24\u4e2a\u6ed1\u884c\u4f53\u76f8\u5411\u800c\u884c\uff0c\u53ef\u7531\u5c40\u90e8\u8f6c\u79fb\u71b5\u8bc6\u522b\u51fa\u6765\u3002<\/span><\/p>\n


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

<\/p>\n


<\/p>\n

\u4e0a\u9762\u5c55\u793a\u7684\u4fbf\u662f\u5178\u578b\u7684\u786c\u78b0\u649e\uff0c\u800c\u524d\u6587\u5df2\u7ecf\u63d0\u53ca\u8fc7\uff0c\u5373\u4f7f\u662f\u53ea\u6709\u4e00\u4e2a\u6ed1\u884c\u4f53\uff0c\u4e5f\u53ef\u80fd\u51fa\u73b0\u5fae\u5f31\u7684\u4fe1\u606f\u4fee\u6b63\uff0c\u5373\u8f6f\u78b0\u649e\u3002\u6bd4\u5982\u5728110\u53f7\u5143\u80de\u81ea\u52a8\u673a\u4e2d\uff0c\u6211\u4eec\u53ef\u4ee5\u770b\u5230\u8fd9\u6837\u7684\u73b0\u8c61\u3002\u4e0b\u56fe(i)\u4e2dA\u70b9\u5904\u6709\u6df1\u7ea2\u8272\u70b9\uff0c\u4ee3\u8868\u7740\u4e24\u4e2a\u6ed1\u884c\u4f53\u7684\u786c\u78b0\u649e\uff0c\u800c\u5728A\u70b9\u7684\u5de6\u4e0a\u65b9\uff0c\u6709\u4e00\u5217\u6d45\u7ea2\u8272\u70b9\u3002\u8fd9\u4e9b\u70b9\u5728\u56fe(h)\u4e2d\u53ef\u4ee5\u7531\u5c40\u90e8\u5b8c\u5168\u8f6c\u79fb\u71b5\u8bc6\u522b\u51fa\u6765\uff0c\u662f\u6ed1\u884c\u4f53\u7684\u8f68\u8ff9\u3002\u4f5c\u8005\u8ba4\u4e3a\u8fd9\u662f\u4e00\u4e2a\u6ed1\u884c\u4f53\u4e0e\u57df\u4e2d\u7684\u73af\u5883\u8f6c\u79fb\u76f8\u9047\u65f6\u7684\u8f6f\u78b0\u649e\uff0c\u4e5f\u53ef\u4ee5\u88ab\u5c40\u90e8\u53ef\u5206\u79bb\u4fe1\u606f\u8bc6\u522b\u51fa\u6765\u3002<\/span><\/p>\n


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

<\/p>\n


<\/p>\n

\u6bcf\u6b21\u78b0\u649e\u53d1\u751f\uff0c\u90fd\u597d\u50cf\u662f\u5728\u8fd0\u884c\u4e00\u4e2a\u51fd\u6570\u3002\u8fd9\u4e2a\u51fd\u6570\u7684\u4e24\u4e2a\u8f93\u5165\u662f\u5c06\u8981\u53d1\u751f\u78b0\u649e\u7684\u4e24\u4e2a\u4fe1\u606f\u8f7d\u4f53\u3002\u90a3\u8f93\u51fa\u7ed3\u679c\uff0c\u663e\u7136\u4e0d\u53ea\u662f\u8ddf\u8f93\u5165\u6709\u5173\uff0c\u8fd8\u8ddf\u8fd9\u4e2a\u51fd\u6570\u672c\u8eab\u7684\u6027\u8d28\u6709\u5173\u3002\u6211\u4eec\u4e0d\u59a8\u8bbe\u60f3\u8fd9\u6837\u4e00\u4e2a\u51fd\u6570f\uff0c\u4e0d\u7ba1\u8f93\u5165\u662f\u4ec0\u4e48\uff0c\u8f93\u51fa\u90fd\u662ff(x)=0<\/span>\uff08\u8fd9\u4e2a\u51fd\u6570\u4e5f\u6709\u4e00\u4e2a\u540d\u5b57\u201creset to zero\u201d\uff0cRTZ\uff09<\/span>\u3002\u4ece\u4fe1\u606f\u7684\u89d2\u5ea6\u6765\u770b\uff0c\u8fd9\u91cc\u6709\u4e00\u4e2a\u663e\u7136\u7684\u4e8b\u60c5\u53d1\u751f\u4e86\u2014\u2014\u6709\u4fe1\u606f\u88ab\u635f\u6bc1\u4e86\u3002\u6211\u4eec\u65e0\u6cd5\u4ece\u5b83\u7684\u8f93\u51fa0\uff0c\u63a8\u65ad\u51fa\u539f\u672c\u7684\u8f93\u5165\u662f\u4ec0\u4e48\u6837\u5b50\u7684\u3002\u635f\u6bc1\uff0c\u6216\u8005\u8bf4\u64e6\u9664\uff0c\u610f\u5473\u7740\u8be5\u4fe1\u606f\u5c06\u65e0\u6cd5\u518d\u6062\u590d\u3002\u8457\u540d\u7684\u5170\u9053\u5c14\u539f\u7406\u5efa\u7acb\u8d77\u4e86\u4fe1\u606f\u548c\u7269\u7406\u5b66\u4e2d\u80fd\u91cf\u8fd9\u4e00\u6982\u5ff5\u7684\u8054\u7cfb\u3002\u5176\u4e2d\u63d0\u51fa\uff0c\u6bcf\u64e6\u9664 1bit \u4fe1\u606f\uff0c\u9700\u8981\u6d88\u8017 kTln2 \u7126\u8033\u7684\u80fd\u91cf\u3002\u90a3\u8fd9\u6837\u7684\u4fe1\u606f\u635f\u6bc1\uff0c\u5728\u5206\u5e03\u5f0f\u8ba1\u7b97\u4e2d\u626e\u6f14\u7740\u4ec0\u4e48\u89d2\u8272\u5462\uff1f\u5b83\u548c\u524d\u9762\u63d0\u5230\u8fc7\u7684\u4fe1\u606f\u4fee\u6b63\u53c8\u6709\u4ec0\u4e48\u5173\u8054\u5462\uff1f<\/span><\/p>\n


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

\u4e3a\u4e86\u523b\u753b\u8fd9\u79cd\u4e0d\u53ef\u9006\u7684\u4fe1\u606f\u635f\u6bc1\uff0c\u6211\u4eec\u5f15\u5165\u672c\u6587\u6700\u540e\u4e00\u4e2a\u5b9a\u91cf\u6307\u6807\uff0c\u5176\u540d\u79f0\u5c31\u53eb\u505a\u4fe1\u606f\u635f\u6bc1<\/strong><\/span>\uff08information destruction\uff09<\/span>\u3002\u8df3\u8fc7\u5197\u4f59\u7684\u6570\u5b66\u7ec6\u8282\uff0c\u6211\u4eec\u76f4\u63a5\u6765\u770b\u5b83\u5728\u5143\u80de\u81ea\u52a8\u673a\u91cc\u7684\u5c40\u90e8\u8868\u8fbe\u5f62\u5f0f\u3002<\/span><\/p>\n


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

<\/p>\n


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

\u8bfb\u8005\u53ef\u53c2\u8003\u4e0b\u9762\u5bf9\u8be5\u516c\u5f0f\u7684\u56fe\u89e3\u3002\u5c40\u90e8\u4fe1\u606f\u635f\u6bc1\u5b9e\u9645\u4e0a\u5c31\u662f\u5728\u7b97\u4e00\u79cd\u5c40\u90e8\u6761\u4ef6\u71b5\uff0c\u4f46\u548c\u524d\u9762\u63d0\u5230\u8fc7\u7684\u71b5\u7387\u5f88\u4e0d\u4e00\u6837\uff0c\u5b83\u662f\u5728\u5df2\u77e5n+1\u65f6\u523b\u67d0\u4e9b\u5143\u80de\u72b6\u6001\u7684\u6761\u4ef6\u4e0b\uff0c\u6c42\u5bf9n\u65f6\u523b\u67d0\u4e00\u4e2a\u5143\u80de\u72b6\u6001\u7684\u6761\u4ef6\u71b5\u3002\u4e5f\u5c31\u662f\u5728\u95ee\uff0c\u5f53\u6211\u4eec\u5df2\u77e5\u672a\u6765\u65f6\uff0c\u5bf9\u5f53\u4e0b\u72b6\u6001\u7684\u9884\u6d4b\u8fd8\u5269\u4f59\u591a\u5c11\u4e0d\u786e\u5b9a\u6027\u3002\u8fd9\u4e2a\u503c\u8d8a\u5927\uff0c\u8bf4\u660e\u4fe1\u606f\u635f\u6bc1\u7684\u7a0b\u5ea6\u8d8a\u9ad8\u3002\u5728RTZ\u7684\u4f8b\u5b50\u4e2d\uff0c\u56e0\u4e3a\u6211\u4eec\u65e0\u6cd5\u4ece\u8f93\u51fa\u53cd\u63a8\u51fa\u5173\u4e8e\u8f93\u5165\u7684\u4efb\u4f55\u4fe1\u606f\uff0c\u6240\u4ee5\u4fe1\u606f\u635f\u6bc1\u7684\u5927\u5c0f\u5c31\u662f\u8f93\u5165\u53d8\u91cf\u7684\u71b5<\/span>\uff08\u6216\u4e8b\u4ef6\u7684\u5c40\u90e8\u71b5\uff09<\/span>\uff0c\u5373\u5168\u90e8\u4fe1\u606f\u90fd\u88ab\u635f\u6bc1\u4e86\u3002<\/span><\/p>\n


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

<\/p>\n


<\/p>\n

\u56de\u5230\u5143\u80de\u81ea\u52a8\u673a\u7684\u4f8b\u5b50\uff0c\u5982\u4e0b\u56fe\u6240\u793a\u3002\u5bf9\u6bd4\u56fe(b)\u548c\u56fe(c)\uff0c\u6211\u4eec\u53d1\u73b0\u5c40\u90e8\u4fe1\u606f\u635f\u6bc1\u53d1\u751f\u5728\u4fe1\u606f\u4fee\u6b63\u7684\u82e5\u5e72\u6b65\u4e4b\u524d<\/span>\uff08\u56fe\u4e2d\u4e24\u4e2a\u9ed1\u8272\u692d\u5706\u7684\u6807\u8bb0\uff09<\/span>\u3002\u6240\u4ee5\u4fe1\u606f\u635f\u6bc1\u7684\u51fa\u73b0\u53ef\u4ee5\u4f5c\u4e3a\u7c92\u5b50\u78b0\u649e\u5c06\u8981\u53d1\u751f\u7684\u9884\u8b66\u3002\u6b64\u5916\uff0c\u6211\u4eec\u80fd\u770b\u5230\u57df\u4e2d\u6709\u5fae\u5f31\u7684\u4fe1\u606f\u635f\u6bc1\u5e7f\u6cdb\u5b58\u5728\u3002\u5982\u524d\u6587\u201c\u4fe1\u606f\u8f6c\u79fb\u201d\u7ae0\u8282\u4e2d\u6240\u8ff0\uff0c18\u53f7\u89c4\u5219\u5143\u80de\u81ea\u52a8\u673a\u5728\u57df\u91cc\u6709\u5f02\u6216\u8fd0\u7b97\u3002\u5f02\u6216\u8fd0\u7b97\u7684\u53cd\u63a8\u53ef\u4ee5\u8ba9\u6211\u4eec\u77e5\u9053\u4e24\u4e2a\u8f93\u5165\u4e4b\u95f4\u7684\u5173\u7cfb\uff0c\u4f46\u65e0\u6cd5\u83b7\u77e5\u5176\u4e2d\u4efb\u610f\u4e00\u4e2a\u8f93\u5165\u7684\u5177\u4f53\u72b6\u6001\uff0c\u6240\u4ee5\u6709\u4fe1\u606f\u635f\u6bc1\u3002<\/span><\/p>\n


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

<\/p>\n


<\/p>\n

\u4e0b\u9762\u6211\u4eec\u5217\u51fa\u8fd9\u4e00\u7ae0\u8282\u6240\u63d0\u53ca\u7684\u6307\u6807\u548c\u5b83\u4eec\u7684\u4f5c\u7528\u3002<\/span><\/p>\n


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

<\/p>\n


<\/p>\n\n\n\n<\/colgroup>\n\n\n\n\n
\n

d(i,n+1,m)<0<\/span><\/p>\n<\/td>\n

\n

\u53d1\u751f\u4fe1\u606f\u635f\u6bc1<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

s(n,k)<0<\/span><\/p>\n<\/td>\n

\n

\u7edd\u5bf9\u503c\u8f83\u5c0f\u65f6\uff0c\u8f6f\u78b0\u649e<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

\u7edd\u5bf9\u503c\u8f83\u5927\u65f6\uff0c\u786c\u78b0\u649e<\/span><\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n


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


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

\n
\n
\n
\n
\n

<\/section>\n

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

4. \u7ed3\u8bed<\/strong><\/span><\/strong><\/strong><\/p>\n<\/section>\n

\n

<\/section>\n

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


<\/p>\n

\u81f3\u6b64\uff0c\u6211\u4eec\u5df2\u7ecf\u4ecb\u7ecd\u4e86\u4e00\u6574\u5957\u7684\u5b9a\u91cf\u6846\u67b6\uff0c\u80fd\u591f\u523b\u753b\u548c\u9610\u91ca\u5143\u80de\u81ea\u52a8\u673a\u91cc\u53d1\u751f\u7684\u6d8c\u73b0\u7ed3\u6784\u548c\u5206\u5e03\u5f0f\u8ba1\u7b97\u3002\u5982\u679c\u4f60\u4e0d\u60f3\u7ec6\u7a76\u62bd\u8c61\u7684\u6570\u5b66\u7b26\u53f7\u548c\u7e41\u6742\u7684\u8fd0\u7b97\u7ec6\u8282\uff0c\u53ef\u4ee5\u7740\u91cd\u4f53\u4f1a\u4ee5\u4e0b\u66f4\u4e3a\u7c97\u7cd9\u7684\u603b\u7ed3\uff1a\u5728\u5143\u80de\u81ea\u52a8\u673a\u91cc\uff0c\u9759\u6001\u7684\u7c92\u5b50\uff08\u95ea\u70c1\u4f53\uff09\u8fdb\u884c\u7740\u4fe1\u606f\u5b58\u50a8\uff0c\u52a8\u6001\u7684\u7c92\u5b50\uff08\u6ed1\u884c\u4f53\uff09\u8fdb\u884c\u7740\u4fe1\u606f\u8f6c\u79fb\uff0c\u800c\u7c92\u5b50\u7684\u78b0\u649e\u5219\u662f\u5728\u8fdb\u884c\u4fe1\u606f\u4fee\u6b63\u3002<\/strong>\u5728\u66f4\u4e3a\u590d\u6742\u7684\u5143\u80de\u81ea\u52a8\u673a\u4e0a<\/span>\uff08\u6bd4\u5982\u751f\u547d\u6e38\u620f\uff09<\/span>\uff0c\u8fd9\u79cd\u6d8c\u73b0\u51fa\u6765\u7684\u7c92\u5b50\u751a\u81f3\u53ef\u4ee5\u4f5c\u4e3a\u57fa\u672c\u7684\u8fd0\u7b97\u5355\u4f4d\uff0c\u7528\u6765\u6784\u5efa\u56fe\u7075\u673a\uff0c\u6a21\u62df\u4efb\u610f\u590d\u6742\u7684\u5176\u4ed6\u7684\u8ba1\u7b97\u8fc7\u7a0b\u3002<\/span><\/p>\n


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

\u521d\u7b49\u5143\u80de\u81ea\u52a8\u673a\u662f\u975e\u5e38\u5408\u9002\u7684\u5b9e\u9a8c\u5bf9\u8c61\uff0c\u53ef\u4ee5\u5e2e\u52a9\u6211\u4eec\u7406\u89e3\u8fd9\u8bf8\u591a\u6307\u6807\u7684\u542b\u4e49\u548c\u533a\u522b\u3002\u5728\u5143\u80de\u81ea\u52a8\u673a\u4e4b\u540e\uff0c\u6211\u4eec\u5728\u4e0b\u4e00\u7bc7\u6587\u7ae0\u770b\u4e00\u770b\uff0c\u8fd9\u4e9b\u5b9a\u91cf\u6307\u6807\u5728\u66f4\u4e3a\u5e7f\u6cdb\u7684\u7269\u7406\u3001\u751f\u7269\u7b49\u7cfb\u7edf\u4e2d\u6709\u54ea\u4e9b\u5b9e\u9645\u5e94\u7528\u3002<\/span><\/p>\n


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


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

\n
\n
\n

\u53c2\u8003\u6587\u732e<\/strong><\/p>\n<\/section>\n<\/section>\n<\/section>\n

[1] J. Dasan, T.R. Ramamohan, A. Singh, P.R. Nott, Stress fluctuations in sheared Stokesian suspensions. Phys. Rev. E 66(2), 021409 (2002)<\/span><\/p>\n

[2] J.E. Hanson, J.P. Crutchfield, The attractor-basin portait of a cellular automaton. J. Stat. Phys. 66, 1415\u20131462 (1992)<\/span><\/p>\n

[3] M. Mitchell, J.P. Crutchfield, P.T. Hraber, Evolving cellular automata to perform computations: mechanisms and impediments. Physica D 75, 361\u2013391 (1994)<\/span><\/p>\n

[4] T. Schreiber, Measuring information transfer. Phys. Rev. Lett. 85(2), 461\u2013464 (2000)<\/span><\/p>\n

[5] J. Pearl, Causality: Models, Reasoning, and Inference (Cambridge University Press, Cambridge, 2000)<\/span><\/p>\n

[6] N. Ay, D. Polani, Information flows in causal networks. Adv. Complex Syst. 11(1), 17\u201341 (2008)<\/span><\/p>\n

[7] J.T. Lizier, M. Prokopenko, A.Y. Zomaya, Detecting non-trivial computation in complex dynamics, ed. by F. Almeida e Costa, L.M. Rocha, E. Costa, I. Harvey, A. Coutinho, in Proceedings of the 9th European Conference on Artificial Life (ECAL), Lisbon, Portugal, ser. Lecture Notes in Artificial Intelligence, vol. 4648. (Springer, Berlin\/Heidelberg, 2007), pp. 895\u2013904<\/span><\/p>\n


<\/p>\n

\n
\n
\n
\n
\n

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

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

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

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

Joseph T. Lizier \u7684\u5de5\u4f5c\u5728 CORE \u535a\u58eb\u8bba\u6587\u5956\u4e2d\u83b7\u5f97\u4e86\u8363\u8a89\u63d0\u540d\uff0c\u5e76\u88ab Springer Theses \u6536\u5f55\u3002\u8be5\u7cfb\u5217\u8bba\u6587\u7cbe\u9009\u4e16\u754c\u5404\u5730\u5728\u76f8\u5173\u9886\u57df\u5177\u6709\u91cd\u8981\u5f71\u54cd\u7684\u535a\u58eb\u8bba\u6587\uff0c\u5e76\u5305\u542b\u535a\u58eb\u751f\u5bfc\u5e08\u5bf9\u8be5\u7814\u7a76\u5728\u76f8\u5173\u9886\u57df\u5f71\u54cd\u7684\u4ecb\u7ecd\uff0c\u56e0\u800c\u5bf9\u975e\u4e13\u4e1a\u7684\u8de8\u9886\u57df\u8bfb\u8005\u4e5f\u5177\u6709\u8f83\u9ad8\u7684\u53ef\u8bfb\u6027\u3002\u8fd9\u7bc7\u8bba\u6587\u7684\u76ee\u5f55\u5982\u4e0b\uff1a<\/span><\/p>\n

1.\u5f15\u8a00<\/span><\/p>\n

2.\u590d\u6742\u7cfb\u7edf\u4e2d\u7684\u8ba1\u7b97<\/span><\/p>\n

3.\u4fe1\u606f\u5b58\u50a8<\/span><\/p>\n

4.\u4fe1\u606f\u8f6c\u79fb<\/span><\/p>\n

5.\u4fe1\u606f\u4fee\u6b63<\/span><\/p>\n

6.\u7f51\u7edc\u548c\u76f8\u53d8\u4e2d\u7684\u4fe1\u606f\u52a8\u529b\u5b66<\/span><\/p>\n

7.\u590d\u6742\u8ba1\u7b97\u4e2d\u7684\u8fde\u8d2f\u4fe1\u606f\u7ed3\u6784<\/span><\/p>\n

8.\u751f\u7269\u7cfb\u7edf\u4e2d\u7684\u4fe1\u606f\u8f6c\u79fb<\/span><\/p>\n

9.\u603b\u7ed3<\/span><\/p>\n

\u6211\u4eec\u8ba1\u5212\u5c06\u5176\u5206\u4e3a\u4e09\u5927\u90e8\u5206\u4ecb\u7ecd\uff0c\u7b2c\u4e00\u7bc7\u6587\u7ae0\u300a\u590d\u6742\u7cfb\u7edf\u7814\u7a76\u4e3a\u4ec0\u4e48\u5173\u6ce8\u4fe1\u606f\u8bba\uff1f<\/a>\u300b\u4e3b\u8981\u89e3\u8bfb\u524d\u4e24\u7ae0\uff0c\u805a\u7126\u95ee\u9898\u80cc\u666f\u4ee5\u53ca\u590d\u6742\u7cfb\u7edf\u548c\u4fe1\u606f\u8bba\u7684\u7ed3\u5408\uff1b\u7b2c\u4e8c\u7bc7\u6587\u7ae0\u89e3\u8bfb\u4e09\u5230\u4e94\u7ae0\uff0c\u8fd9\u662f\u8bba\u6587\u6700\u6838\u5fc3\u7684\u6982\u5ff5\u6846\u67b6\uff1b\u6700\u540e\u4e00\u7bc7\u89e3\u8bfb\u516d\u5230\u4e5d\u7ae0\uff0c\u8fdb\u4e00\u6b65\u63a2\u8ba8\u5177\u4f53\u7684\u5e94\u7528\u4ef7\u503c\u3002\u6b22\u8fce\u611f\u5174\u8da3\u7684\u8bfb\u8005\u6301\u7eed\u5173\u6ce8\uff0c\u6211\u4eec\u4e0b\u4e00\u7bc7\u89c1\uff01<\/span><\/section>\n<\/section>\n<\/section>\n
\n
\n

<\/section>\n
\n

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

<\/section>\n
\n

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

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

\u4f5c\u8005\u7b80\u4ecb<\/strong><\/p>\n<\/section>\n<\/section>\n<\/section>\n

<\/p>\n

\u6768\u660e\u54f2<\/strong>\uff0c\u5317\u4eac\u5e08\u8303\u5927\u5b66\u7cfb\u7edf\u79d1\u5b66\u5b66\u9662\u7855\u58eb\u751f\uff0c\u5f20\u6c5f\u8001\u5e08\u56e0\u679c\u6d8c\u73b0\u7814\u7a76\u5c0f\u7ec4\u6210\u5458\u3002\u7814\u7a76\u9886\u57df\u662f\u56e0\u679c\u6d8c\u73b0\u3001\u590d\u6742\u7cfb\u7edf\u81ea\u52a8\u5efa\u6a21\u3002<\/span><\/p>\n

\u5b66\u8005\u4e3b\u9875\uff1ahttps:\/\/pattern.swarma.org\/user\/76769<\/span><\/p>\n


<\/p>\n


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

\u65b0\u4fe1\u606f\u8bba\uff1a\u4ece\u5206\u89e3\u5230\u6574\u5408<\/strong><\/p>\n

\u56e0\u679c\u6d8c\u73b0\u8bfb\u4e66\u4f1a\u7b2c\u56db\u5b63<\/strong><\/p>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n


<\/section>\n

\u4ec0\u4e48\u662f\u610f\u8bc6\uff1f\u610f\u8bc6\u80fd\u5426\u5ea6\u91cf\uff1f\u673a\u5668\u80fd\u5426\u4ea7\u751f\u610f\u8bc6\uff1f\u5bf9\u4e8e\u610f\u8bc6\u95ee\u9898\uff0c\u4eba\u4eec\u53ef\u80fd\u5373\u5c06\u8fce\u6765\u4e00\u4e2a\u5927\u7684\u7a81\u7834\uff0c\u5404\u79cd\u6709\u5173\u610f\u8bc6\u7684\u7406\u8bba\u6b63\u5982\u96e8\u540e\u6625\u7b0b\u822c\u5c55\u73b0\u51fa\u52c3\u52c3\u751f\u673a\u3002\u5176\u4e2d\u795e\u7ecf\u79d1\u5b66\u5bb6 Giulio Tononi \u7684\u6574\u5408\u4fe1\u606f\u8bba\uff08IIT<\/span>\uff09\u88ab\u8ba4\u4e3a\u662f\u6700\u6709\u524d\u666f\u7684\u610f\u8bc6\u7406\u8bba\u4e4b\u4e00\u3002\u5982\u679c\u8bf4\u610f\u8bc6\u662f\u5927\u8111\u795e\u7ecf\u6d3b\u52a8\u7684\u4e00\u79cd\u6d8c\u73b0\u7ed3\u679c\uff0c\u90a3\u4e48\u523b\u753b\u6d8c\u73b0\u4fbf\u6210\u4e3a\u7406\u89e3\u610f\u8bc6\u8fc7\u7a0b\u4e2d\u4e00\u4e2a\u91cd\u8981\u73af\u8282\u3002\u56e0\u679c\u6d8c\u73b0\u7406\u8bba\u76ee\u524d\u53d1\u5c55\u51fa\u4e24\u4e2a\u6d3e\u522b\uff0c\u9664\u4e86 Erik Hoel \u7684\u6709\u6548\u4fe1\u606f\u56e0\u679c\u6d8c\u73b0\u6846\u67b6\uff0c\u8fd8\u6709\u4e00\u4e2a\u662f Rosas \u7684\u4fe1\u606f\u5206\u89e3\uff08PID\uff09\u6846\u67b6\uff0c\u6b64\u540e Rosas \u57fa\u4e8e\u6b64\u8fdb\u4e00\u6b65\u63d0\u51fa\u878d\u5408\u6574\u5408\u4fe1\u606f\u8bba\u7684\u4fe1\u606f\u5206\u89e3\u6846\u67b6 \u03a6ID\uff0c\u5c1d\u8bd5\u6784\u5efa\u65b0\u7684\u610f\u8bc6\u7406\u8bba\u3002<\/span><\/p>\n


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

\u4e00\u8fb9\u662f\u4fe1\u606f\u6574\u5408\uff08IIT\uff09\uff0c\u4e00\u8fb9\u662f\u4fe1\u606f\u5206\u89e3\uff08PID\uff09\uff0c\u770b\u4f3c\u5206\u88c2\uff0c\u5b9e\u9645\u4e0a\u90fd\u662f\u5bf9\u9999\u519c\u7ecf\u5178\u4fe1\u606f\u8bba\u7684\u8fdb\u4e00\u6b65\u53d1\u5c55\u3002\u56e0\u679c\u6d8c\u73b0\u8bfb\u4e66\u4f1a\u7b2c\u56db\u5b63\u300c\u65b0\u4fe1\u606f\u8bba\uff1a\u4ece\u5206\u89e3\u5230\u6574\u5408<\/a>\u300d\u7531\u5317\u4eac\u5e08\u8303\u5927\u5b66\u7cfb\u7edf\u79d1\u5b66\u5b66\u9662\u6559\u6388\u3001\u96c6\u667a\u4ff1\u4e50\u90e8\u521b\u59cb\u4eba\u5f20\u6c5f\u8001\u5e08\u9886\u8854\u53d1\u8d77\uff0c\u65e8\u5728\u68b3\u7406\u4fe1\u606f\u8bba\u9886\u57df\u7684\u53d1\u5c55\u8109\u7edc\uff0c\u4ece\u9999\u519c\u7684\u7ecf\u5178\u4fe1\u606f\u8bba\u5f00\u59cb\uff0c\u91cd\u70b9\u5173\u6ce8\u6574\u5408\u4fe1\u606f\u8bba\u548c\u4fe1\u606f\u5206\u89e3\u8fd9\u4e24\u4e2a\u524d\u6cbf\u8bdd\u9898\uff0c\u53ca\u5176\u5728\u4ea4\u53c9\u9886\u57df\u7684\u5e94\u7528\u3002\u5e0c\u671b\u901a\u8fc7\u5bf9\u8fd9\u4e9b\u201c\u65b0\u4fe1\u606f\u8bba\u201d\u5ea6\u91cf\u6307\u6807\u7684\u6df1\u5165\u63a2\u8ba8\uff0c\u5e2e\u52a9\u6211\u4eec\u7406\u89e3\u4ec0\u4e48\u662f\u610f\u8bc6\uff0c\u4ec0\u4e48\u662f\u6d8c\u73b0\uff0c\u5e76\u627e\u5230\u4e0d\u540c\u5b66\u79d1\uff0c\u4e0d\u540c\u95ee\u9898\u80cc\u540e\u7684\u7edf\u4e00\u6027\u539f\u7406\u3002<\/span><\/p>\n


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

<\/section>\n
\u8be6\u60c5\u8bf7\u89c1\uff1a<\/span><\/section>\n
\u65b0\u4fe1\u606f\u8bba\uff1a\u4ece\u5206\u89e3\u5230\u6574\u5408\uff5c\u56e0\u679c\u6d8c\u73b0\u8bfb\u4e66\u4f1a\u7b2c\u56db\u5b63\u542f\u52a8<\/a><\/span>
<\/span><\/section>\n

<\/section>\n

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

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

1. <\/strong>\u590d\u6742\u7cfb\u7edf\u7814\u7a76\u4e3a\u4ec0\u4e48\u5173\u6ce8\u4fe1\u606f\u8bba\uff1f<\/a><\/strong><\/strong><\/span><\/section>\n
2. <\/strong>\u8ba1\u7b97\u529b\u5b66\uff1a\u91cf\u5316\u6d8c\u73b0\u7684\u53c8\u4e00\u6761\u8def\u5f84<\/a> <\/strong><\/strong><\/span><\/strong><\/section>\n
3. <\/strong>\u4ece\u5206\u89e3\u5230\u6574\u5408\uff1a\u6574\u5408\u4fe1\u606f\u5206\u89e3\u6846\u67b6<\/a><\/strong><\/span><\/strong><\/section>\n
4. <\/strong><\/span>\u5f20\u6c5f\uff1a\u7b2c\u4e09\u4ee3\u4eba\u5de5\u667a\u80fd\u6280\u672f\u57fa\u7840\u2014\u2014\u4ece\u53ef\u5fae\u5206\u7f16\u7a0b\u5230\u56e0\u679c\u63a8\u7406 | \u96c6\u667a\u5b66\u56ed\u5168\u65b0\u8bfe\u7a0b<\/a><\/strong><\/strong><\/span><\/section>\n
<\/strong><\/strong>5.<\/strong> \u9f99\u5e74\u5927\u8fd0\u8d77\uff0c\u5b66\u4e60\u6b63\u5f53\u65f6\uff01\u89e3\u9501\u96c6\u667a\u5168\u7ad9\u5185\u5bb9\uff0c\u5f00\u542f\u65b0\u5e74\u5b66\u4e60\u8ba1\u5212<\/a><\/strong><\/strong><\/strong><\/strong><\/span><\/section>\n
6. <\/strong>\u52a0\u5165\u96c6\u667a\uff0c\u4e00\u8d77\u590d\u6742\uff01<\/strong><\/span><\/a><\/section>\n


<\/p>\n


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

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

<\/mp-style-type><\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

\u5bfc\u8bed \u4e0a\u4e16\u7eaa90\u5e74\u4ee3\u521d\uff0c\u6717\u987f\u521b\u9020\u4e86\u201c\u5728\u6df7\u6c8c\u8fb9\u7f18\u8ba1\u7b97\u201d\u8fd9\u4e2a\u672f\u8bed\uff0c\u5e76\u5f00\u59cb\u601d\u8003\u4e00\u4e2a\u96be\u9898\uff1a\u7cfb\u7edf\u7684\u590d\u6742\u6027\u6765\u6e90\u4e8e\u4f55\u5904\u3002\u4ed6\u7684\u6587\u5b57\u5df2\u7ecf\u6697\u793a\u8fd9\u4e00\u8ff7\u601d\u4e0e\u4fe1\u606f\u7406\u8bba\u7684\u7d27\u5bc6\u5173\u8054\u3002Joseph T. Lizier \u5728 2010 \u5e74\u4ece\u6089\u5c3c\u5927\u5b66\u83b7\u5f97\u8ba1\u7b97\u673a\u79d1\u5b66\u535a\u58eb\u5b66\u4f4d\uff0c\u5728\u4ed6\u7684\u535a\u58eb\u8bba\u6587\u300a\u590d\u6742\u7cfb\u7edf\u4e2d\u5206\u5e03\u5f0f\u8ba1\u7b97\u7684\u5c40\u90e8\u4fe1\u606f\u52a8\u529b\u5b66\u300b\uff08The …<\/p>\n","protected":false},"author":0,"featured_media":49230,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[1],"tags":[],"special":[],"_links":{"self":[{"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/posts\/49271"}],"collection":[{"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/types\/post"}],"replies":[{"embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=49271"}],"version-history":[{"count":0,"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/posts\/49271\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/media\/49230"}],"wp:attachment":[{"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=49271"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=49271"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=49271"},{"taxonomy":"special","embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Fspecial&post=49271"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}