{"id":35403,"date":"2022-06-26T22:38:35","date_gmt":"2022-06-26T14:38:35","guid":{"rendered":"https:\/\/swarma.org\/?p=35403"},"modified":"2022-06-26T22:38:35","modified_gmt":"2022-06-26T14:38:35","slug":"%e4%bb%8e%e5%be%ae%e8%a7%82%e5%88%b0%e5%ae%8f%e8%a7%82%ef%bc%9a%e6%b6%8c%e7%8e%b0%e7%9a%84%e5%ae%9e%e8%b4%a8%e6%98%af%e4%bf%a1%e6%81%af%e8%bd%ac%e6%8d%a2%ef%bc%9f","status":"publish","type":"post","link":"https:\/\/swarma.org\/?p=35403","title":{"rendered":"\u4ece\u5fae\u89c2\u5230\u5b8f\u89c2\uff1a\u6d8c\u73b0\u7684\u5b9e\u8d28\u662f\u4fe1\u606f\u8f6c\u6362\uff1f"},"content":{"rendered":"
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\u89e3\u51b3\u8fd9\u4e00\u77db\u76fe\u7684\u4e00\u4e2a\u529e\u6cd5\u662f\u8fd8\u539f\u8bba\u7684\u201c\u96f6\u5047\u8bbe\u201d\uff1a\u6240\u6709\u5b8f\u89c2\u63cf\u8ff0\u662f\u67d0\u79cd\u5f62\u5f0f\u7684\u964d\u7ef4<\/span>\uff08\u5982\u7c97\u7c92\u5316\uff09<\/span>\uff0c\u4ec5\u5728\u8ba1\u7b97\u7ea6\u675f\u4e0b\u6709\u7528\u3002\u6839\u636e\u8fd9\u4e2a\u5047\u8bbe\uff0c\u8fd9\u662f\u56e0\u4e3a\u5e95\u5c42\u7684\u5fae\u89c2\u5c3a\u5ea6\u5305\u542b\u6240\u6709\u4fe1\u606f\uff0c\u4fe1\u606f\u538b\u7f29\u53ea\u662f\u4e3a\u4e86\u5728\u5b8f\u89c2\u5c42\u9762\u4e0a\u5206\u6790\u548c\u7406\u89e3\u7cfb\u7edf\u3002\u5bf9\u4e8e\u7ed9\u5b9a\u4fe1\u606f\u6e90\uff0c\u4fe1\u606f\u538b\u7f29\u53ef\u80fd\u662f\u65e0\u635f\u7684\u6216\u6709\u635f\u7684\uff0c\u4f46\u6c38\u8fdc\u4e0d\u53ef\u80fd\u5bfc\u81f4\u603b\u4f53\u7684\u4fe1\u606f\u589e\u52a0\u3002\u65e2\u7136\u5728\u5b8f\u89c2\u5c3a\u5ea6\u4e0a\u603b\u4f53\u4fe1\u606f\u4e0d\u53ef\u80fd\u589e\u52a0\uff0c\u90a3\u662f\u5426\u610f\u5473\u7740\u5b8f\u89c2\u5c3a\u5ea6\u4e0d\u80fd\u5728\u5fae\u89c2\u5c3a\u5ea6\u4e4b\u5916\u63d0\u4f9b\u66f4\u591a\u4e1c\u897f\u5462\uff1f<\/span><\/section>\n

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\u56e0\u679c\u6d8c\u73b0\u7406\u8bba<\/span><\/strong>\u4ece\u4fe1\u606f\u8bba\u89c6\u89d2\u5bf9\u7cfb\u7edf\u7684\u4e0d\u540c\u5c3a\u5ea6\u8fdb\u884c\u4e86\u660e\u786e\u6bd4\u8f83\uff0c\u8be5\u7406\u8bba\u8ba4\u4e3a\uff0c\u5b8f\u89c2\u5c3a\u5ea6\u7684\u56e0\u679c\u5173\u7cfb\u53ef\u80fd\u6bd4\u5fae\u89c2\u5c3a\u5ea6\u66f4\u5f3a<\/strong><\/span>\uff08\u6bd4\u5982\u505a\u66f4\u591a\u529f\u3001\u66f4\u6709\u9884\u6d4b\u6027\u3001\u4fe1\u606f\u91cf\u66f4\u5927\uff09<\/span>\u3002\u603b\u7684\u6765\u8bf4\uff0c\u56e0\u679c\u6d8c\u73b0\u7406\u8bba\u7684\u89c2\u70b9\u662f\uff0c\u7531\u4e8e\u5b8f\u89c2\u72b6\u6001\u66f4\u5177\u6709\u786e\u5b9a\u6027\u3001\u66f4\u4e0d\u7b80\u5e76\uff0c\u5b83\u4eec\u505a\u4e86\u6700\u591a\u529f\u6765\u9009\u62e9\u8f93\u51fa\uff0c\u6709\u6548\u4fe1\u606f\u53ef\u4ee5\u8bc6\u522b\u529f\u5728\u54ea\u4e2a\u65f6\u7a7a\u5c3a\u5ea6\u6700\u5927\u5316\uff0c\u4f7f\u5f97\u529f\u6700\u5927\u5316\u7684\u5c3a\u5ea6\u5c31\u662f\u6700\u5177\u56e0\u679c\u5173\u7cfb\u7684\u5c3a\u5ea6\uff0c\u65e0\u8bba\u662f\u5b8f\u89c2\u8fd8\u662f\u5fae\u89c2\u3002<\/span>\uff08\u53c2\u770b\u300a\u91cf\u5316\u56e0\u679c\u6d8c\u73b0\u8868\u660e\uff1a\u5b8f\u89c2\u53ef\u4ee5\u6218\u80dc\u5fae\u89c2<\/a>\u300b\uff09<\/span><\/section>\n

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\u4fe1\u606f\u4e0d\u53ef\u80fd\u51ed\u7a7a\u4ea7\u751f\u3002\u7cfb\u7edf\u6574\u4f53\u7684\u4fe1\u606f\uff0c\u65e0\u8bba\u662f\u7528\u7cfb\u7edf\u72b6\u6001\u7684\u71b5\u3001\u63cf\u8ff0\u603b\u4f53\u76f8\u5173\u6027\u7684\u4e92\u4fe1\u606f\u6765\u5ea6\u91cf\uff0c\u5728\u5b8f\u89c2\u5c3a\u5ea6\u4e0a\u6c38\u8fdc\u4e0d\u53ef\u80fd\u589e\u52a0\u3002\u7136\u800c\uff0c\u4fe1\u606f\u53ef\u4ee5\u4ece\u4e00\u79cd\u7c7b\u578b\u8f6c\u6362\u4e3a\u53e6\u4e00\u79cd\u7c7b\u578b<\/strong>\uff0c\u9664\u4e86\u5c3a\u5ea6\u4e0d\u540c\u5916\u6ca1\u6709\u5176\u4ed6\u53d8\u5316\uff0c\u8fd9\u610f\u5473\u7740\u5728\u5b8f\u89c2\u5c3a\u5ea6\u7279\u5b9a\u7c7b\u578b\u7684\u4fe1\u606f\u53ef\u80fd\u589e\u52a0\u3002\u4ece\u8fd9\u4e2a\u89d2\u5ea6\u800c\u8a00\uff0c\u53ef\u4ee5\u8ba4\u4e3a\u56e0\u679c\u6d8c\u73b0\u662f\u4e00\u79cd\u66f4\u9ad8\u5c3a\u5ea6\u7684\u4fe1\u606f\u8f6c\u6362<\/strong><\/span>\uff08information conversion\uff09<\/span>\uff0c\u5728\u5b8f\u89c2\u5c3a\u5ea6\uff0c\u56e0\u679c\u76f8\u5173\u7684\u4fe1\u606f\u589e\u52a0\u3002<\/strong><\/span><\/section>\n

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\u672c\u6587\u8bd5\u56fe\u7528\u4e92\u4fe1\u606f\u8bc1\u660e\u8de8\u5c3a\u5ea6\u7684\u4fe1\u606f\u8f6c\u6362\u3002\u4ee5\u5e03\u5c14\u7f51\u7edc\u4e3a\u4f8b\uff0c\u5176\u8fc7\u53bb\u548c\u672a\u6765\u72b6\u6001\u4e4b\u95f4\u7684\u4e92\u4fe1\u606f\u5728\u5b8f\u89c2\u5c3a\u5ea6\u4e0a\u53ea\u4f1a\u51cf\u5c11\u6216\u4fdd\u6301\u4e0d\u53d8\uff0c\u901a\u8fc7\u5c06\u4fe1\u606f\u5206\u89e3\u4e3a\u90e8\u5206\u4fe1\u606f\u539f\u5b50<\/span>\uff08PI atoms\uff09<\/span>\uff0c\u53ef\u4ee5\u770b\u5230\u6574\u4f53\u4fe1\u606f\u5728\u7cfb\u7edf\u7684\u6240\u6709\u5143\u7d20\u4e0a\u5982\u4f55\u5206\u5e03\u3002\u7814\u7a76\u8868\u660e\uff0c\u7ecf\u8fc7\u7c97\u7c92\u5316\uff0c\u5fae\u89c2\u5c3a\u5ea6\u7684\u5197\u4f59\u4fe1\u606f\u53ef\u4ee5\u8f6c\u6362\u4e3a\u5b8f\u89c2\u5c3a\u5ea6\u7684\u534f\u540c\u4fe1\u606f<\/strong>\uff0c\u5373\u4f7f\u5728\u6ca1\u6709\u4e92\u4fe1\u606f\u4e22\u5931\u7684\u60c5\u51b5\u4e0b\uff0c\u8fd9\u79cd\u6548\u5e94\u4e5f\u5b58\u5728\u3002<\/span><\/section>\n

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\u5e03\u5c14\u7f51\u7edc<\/span>\uff08Boolean network\uff09<\/span>\u662f\u590d\u6742\u7cfb\u7edf\u79d1\u5b66\u4e2d\u7684\u4e00\u4e2a\u5178\u578b\u6a21\u578b\u3002\u5728\u5e03\u5c14\u7f51\u7edc\u4e2d\uff0c\u968f\u7740\u65f6\u95f4\u63a8\u79fb\uff0c\u6bcf\u4e2a\u8282\u70b9\u7684\u72b6\u6001\u53ef\u4ee5\u6839\u636e\u5176\u6240\u6709\u7236\u8282\u70b9\u72b6\u6001\u7684\u903b\u8f91\u51fd\u6570\u800c\u53d8\u5316\u3002\u7cfb\u7edf\u53ef\u4ee5\u770b\u4f5c\u662f\u4fe1\u606f\u4ece\u8fc7\u53bb\u901a\u8fc7\u73b0\u5728\u7684\u901a\u9053\u4f20\u9012\u5230\u672a\u6765\u3002\u6211\u4eec\u53ef\u4ee5\u901a\u8fc7\u8ba1\u7b97\u7f51\u7edc\u7684\u8fc7\u53bb\u548c\u672a\u6765\u72b6\u6001\u4e4b\u95f4\u7684\u4e92\u4fe1\u606f\u6765\u91cf\u5316\u8fd9\u79cd\u4fe1\u606f\u6d41\u3002\u5177\u4f53\u800c\u8a00\uff0c\u5982\u679cX\u8868\u793a\u7f51\u7edc\u7684\u8fc7\u53bb\u72b6\u6001\uff0cY\u8868\u793a\u672a\u6765\u72b6\u6001\uff0c\u5b83\u4eec\u7684\u4e92\u4fe1\u606f<\/strong> I(X,Y) \u91cf\u5316\u4e86\u5173\u4e8e\u7cfb\u7edf\u8fc7\u53bb\u72b6\u6001\u7684\u77e5\u8bc6\u5728\u591a\u5927\u7a0b\u5ea6\u4e0a\u51cf\u5c11\u4e86\u5bf9\u672a\u6765\u72b6\u6001\u7684\u4e0d\u786e\u5b9a\u6027\u3002<\/span><\/section>\n

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\u8ba1\u7b97\u4e92\u4fe1\u606f\u53ef\u4ee5\u83b7\u5f97\u7cfb\u7edf\u52a8\u529b\u5b66\u4e2d\u7684\u603b\u4fe1\u606f\u91cf\uff0c\u4f46\u5982\u679c\u7cfb\u7edf\u4e2d\u5305\u542b\u4e24\u4e2a\u4ee5\u4e0a\u53d8\u91cf\uff0c\u4e92\u4fe1\u606f\u65e0\u6cd5\u76f4\u63a5\u6d1e\u5bdf\uff0c\u4fe1\u606f\u5728\u591a\u4e2a\u76f8\u4e92\u4f5c\u7528\u53d8\u91cf\u7684\u96c6\u5408\u4e0a\u5982\u4f55\u5206\u5e03<\/strong>\u3002\u4f8b\u5982\uff0c\u8003\u8651\u4e24\u4e2a\u6e90\u53d8\u91cfX1<\/span>\u548cX2<\/span>\u8c03\u8282\u5355\u4e2a\u76ee\u6807\u53d8\u91cfY\u7684\u60c5\u51b5\uff1a\u6211\u4eec\u5f88\u5bb9\u6613\u786e\u5b9aX1<\/span>\u548cY\u4e4b\u95f4\u5171\u4eab\u7684\u4fe1\u606f\uff0c\u5373\u4e92\u4fe1\u606f I(X1<\/span>;Y)\uff08X2<\/span>\u4e0e\u4e4b\u7c7b\u4f3c\uff09\uff1b\u4e5f\u53ef\u4ee5\u8ba1\u7b97\u51fa\u8054\u5408\u4e92\u4fe1\u606f I(X1<\/span>, X2<\/span>; Y)\uff1b\u4f46\u65e0\u6cd5\u786e\u5b9a\u54ea\u4e9b\u4fe1\u606f\u4e0e\u54ea\u4e9b\u53d8\u91cf\u7ec4\u5408\u76f8\u4e92\u5173\u8054\u3002\u6bd4\u5982\uff0c\u4e00\u4e9b\u5173\u4e8eY\u7684\u4fe1\u606f\u53ef\u80fd\u662fX1\u5355\u72ec\u63d0\u4f9b\u800c\u4e0d\u5305\u542b\u5728X<\/span>2<\/span>\u4e2d\u7684\uff1b\u4e00\u4e9b\u53ef\u80fd\u662fX1<\/span>\u548cX2<\/span>\u4e4b\u95f4\u5197\u4f59\u5171\u4eab\u7684\uff1b\u4e00\u4e9b\u4fe1\u606f\u5219\u53ef\u80fd\u53ea\u6709X1<\/span>\u548cX2<\/span>\u7684\u8054\u5408\u72b6\u6001\u624d\u80fd\u5171\u540c\u63ed\u793a\uff0c\u800c\u4e0d\u80fd\u4ece\u5176\u4e2d\u4efb\u4f55\u4e00\u4e2a\u53d8\u91cf\u5355\u72ec\u83b7\u5f97\u3002<\/span><\/section>\n

<\/section>\n
\u90e8\u5206\u4fe1\u606f\u5206\u89e3<\/span><\/strong>\uff08Partial Information Decomposition, PID\uff09<\/span>\u63d0\u4f9b\u4e86\u4e00\u4e2a\u65b9\u6cd5\uff0c\u53ef\u4ee5\u5c06\u4e92\u4fe1\u606f\u8fdb\u884c\u539f\u5b50\u5316\u62c6\u5206\u3002\u5bf9\u4e8e\u4e0a\u9762\u7684\u4f8b\u5b50\uff0c\u4e24\u4e2a\u6e90\u53d8\u91cf\uff08X1<\/span>\u548cX2<\/span>\uff09\u7684\u8054\u5408\u72b6\u6001\u548c\u5355\u4e2a\u76ee\u6807\u53d8\u91cf\uff08Y\uff09\u4e4b\u95f4\u7684\u4e92\u4fe1\u606f  I(X1<\/span>, X2<\/span>; Y) \u53ef\u4ee5\u5206\u89e3\u4e3a\u5982\u4e0b\u7684\u201c\u90e8\u5206\u4fe1\u606f\u539f\u5b50\u201d\u4e4b\u548c\uff1a<\/span><\/section>\n

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

<\/p>\n


<\/section>\n
\u5176\u4e2d Red(X1<\/span>, X2<\/span>; Y) \u5bf9\u5e94\u524d\u9762\u63d0\u5230\u7684X1<\/span>\u548cX2<\/span>\u4e4b\u95f4\u5197\u4f59\u5171\u4eab\u7684\u5173\u4e8eY\u7684\u4fe1\u606f\uff0c\u6211\u4eec\u79f0\u4e4b\u4e3a\u5197\u4f59\u4fe1\u606f<\/strong>\uff1bUniq(X1<\/span>; Y|X2<\/span>) \u8868\u793aX1\u5355\u72ec\u63d0\u4f9b\u800c\u4e0d\u5305\u542b\u5728X2<\/span>\u4e2d\u7684\u5173\u4e8eY\u7684\u4fe1\u606f\uff0c\u79f0\u4e3aX1\u7684\u5355\u72ec\u4fe1\u606f<\/strong>\uff1bSyn(X1<\/span>, X2<\/span>; Y) \u8868\u793a\u53ea\u6709X1\u548cX2\u7684\u8054\u5408\u72b6\u6001\u624d\u80fd\u5171\u540c\u63ed\u793a\u7684\u5173\u4e8eY\u7684\u4fe1\u606f\uff0c\u79f0\u4e3a\u534f\u540c\u4fe1\u606f<\/strong>\u3002<\/span><\/section>\n

<\/section>\n
\u4e00\u4e2a\u5f62\u8c61\u7684\u4f8b\u5b50\u662f\uff0c\u6211\u4eec\u7684\u4e24\u53ea\u773c\u775b\u4f1a\u5171\u540c\u63a5\u6536\u89c6\u91ce\u4e2d\u7684\u4fe1\u606f\u4f20\u8f93\u7ed9\u5927\u8111\uff0c\u5982\u679c\u95ed\u4e0a\u4e00\u53ea\u773c\u775b\uff0c\u6211\u4eec\u4f1a\u53d1\u73b0\uff0c\u6bcf\u4e00\u53ea\u773c\u775b\u90fd\u63d0\u4f9b\u4e86\u89c6\u91ce\u8fb9\u7f18\u7684\u4e00\u4e9b\u201c\u5355\u72ec\u4fe1\u606f\u201d\uff1b\u4e0e\u6b64\u540c\u65f6\uff0c\u4e00\u4e9b\u4fe1\u606f\u662f\u4e24\u53ea\u773c\u775b\u90fd\u80fd\u6355\u6349\u5230\u7684\u201c\u5197\u4f59\u4fe1\u606f\u201d\uff0c\u6bd4\u5982\u4e0e\u989c\u8272\u6709\u5173\u7684\u4fe1\u606f\u5f80\u5f80\u662f\u5197\u4f59\u7684\uff0c\u56e0\u4e3a\u5b83\u5bf9\u4e8e\u8bc6\u522b\u7269\u4f53\u975e\u5e38\u91cd\u8981\uff0c\u773c\u775b\u901a\u8fc7\u8fd9\u79cd\u5197\u4f59\u673a\u5236\u786e\u4fdd\u4e86\u89c6\u89c9\u7684\u7a33\u5065\u6027\u4e0e\u53ef\u9760\u6027\u3002\u53e6\u5916\uff0c\u5173\u4e8e\u7a7a\u95f4\u6df1\u5ea6\u7684\u7acb\u4f53\u4fe1\u606f\u662f\u9700\u8981\u4e24\u53ea\u773c\u775b\u76f8\u4e92\u534f\u4f5c\u624d\u80fd\u63d0\u4f9b\u7684\u201c\u534f\u540c\u4fe1\u606f\u201d\uff0c\u5b83\u5e2e\u52a9\u6211\u4eec\u7684\u5927\u8111\u611f\u77e5\u5230\u7b2c\u4e09\u7ef4\u5ea6\u3002\u7b80\u800c\u8a00\u4e4b\uff0c\u4e92\u4fe1\u606f\u5206\u89e3\u516c\u5f0f\u53ef\u4ee5\u7c97\u7565\u8868\u793a\u4e3a\uff1a<\/span><\/section>\n

<\/span><\/section>\n
\u4e92\u4fe1\u606f = \u5355\u72ec\u4fe1\u606f + \u5197\u4f59\u4fe1\u606f + \u534f\u540c\u4fe1\u606f<\/span><\/section>\n

<\/section>\n
\u968f\u7740\u6e90\u53d8\u91cf\u7684\u6570\u91cf\u589e\u52a0\uff0c\u9700\u8981\u8003\u8651\u7684\u6e90\u53d8\u91cf\u7ec4\u5408\u7684\u6570\u91cf\u4ee5\u8d85\u6307\u6570\u589e\u957f\uff0c\u90e8\u5206\u4fe1\u606f\u5206\u89e3\u4e5f\u53d8\u5f97\u975e<\/span>\u5e38\u590d\u6742\u3002\u4e0d\u8fc7\u6709\u8da3\u7684\u662f\uff0c\u8fd9\u4e9b\u6e90\u53d8\u91cf\u7684\u7ec4\u5408\u4f1a\u81ea\u7136\u5730\u7ec4\u7ec7\u6210\u4e00\u4e2a\u90e8\u5206\u6709\u5e8f\u7684\u683c\u70b9\uff0c\u8d8a\u662f\u5197\u4f59\u7684\u4fe1\u606f\u539f\u5b50\u8d8a\u9760\u8fd1\u683c\u70b9\u5e95\u90e8\uff0c\u534f\u540c\u4fe1\u606f\u5219\u9760\u8fd1\u683c\u70b9\u9876\u90e8\uff0c\u6211\u4eec\u79f0\u4e4b\u4e3a\u90e8\u5206\u4fe1\u606f\u683c\u70b9<\/strong><\/span>\uff08PI lattice\uff09<\/span>\u3002\u4f8b\u5982\u5bf9\u4e8e\u4e09\u4e2a\u6e90\u53d8\u91cf\u7684\u60c5\u51b5<\/span>\uff08\u56fe1\uff09<\/span>\uff0cPI \u683c\u70b9\u7684\u5e95\u90e8\u662f {0}{1}{2}\uff0c\u8868\u793a\u4e09\u4e2a\u6e90\u53d8\u91cf\u4e2d\u5197\u4f59\u5b58\u5728\u7684\u5173\u4e8e\u76ee\u6807\u53d8\u91cf\u7684\u4fe1\u606f\uff1b\u9876\u90e8\u662f{012}\uff0c\u8868\u793a\u53ea\u6709\u8054\u5408\u8003\u8651\u4e09\u4e2a\u6e90\u53d8\u91cf\u65f6\u624d\u80fd\u63ed\u793a\u7684\u5173\u4e8e\u76ee\u6807\u53d8\u91cf\u7684\u4fe1\u606f\uff0c\u4e0d\u80fd\u901a\u8fc7\u4efb\u4f55\u201c\u66f4\u7b80\u5355\u201d\u7684\u6e90\u53d8\u91cf\u7ec4\u5408\u6765\u83b7\u5f97\u3002<\/span><\/section>\n

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

\u56fe1. \u5728\u4e24\u5e45\u56fe\u4e2d\uff0c\u5de6\u4fa7\u8868\u793a\u4e09\u4e2a\u6e90\u53d8\u91cf\u7684\u90e8\u5206\u4fe1\u606f\u683c\u70b9\uff0c\u53f3\u4fa7\u8868\u793a\u90e8\u5206\u4fe1\u606f\u8c31\u3002\u6839\u636e\u7cfb\u7edf\u7684PI\u683c\u70b9\u53ef\u4ee5\u6784\u5efaPI\u8c31\uff0c\u8ba1\u7b97\u4fe1\u606f\u539f\u5b50\u5728\u683c\u70b9\u4e2d\u7684\u76f8\u5bf9\u4f4d\u7f6e\uff0c\u4ee5\u6b64\u8861\u91cf\u4fe1\u606f\u7684\u534f\u540c\u7a0b\u5ea6\u3002\u5de6\u8fb9\u7684\u7cfb\u7edf\u534f\u540c\u504f\u5dee\u8f83\u4f4e\uff0c\u5173\u4e8e\u672a\u6765\u72b6\u6001\u7684\u5927\u90e8\u5206\u4e92\u4fe1\u606f\u5197\u4f59\u5730\u5305\u542b\u5728\u6240\u6709\u5143\u7d20\uff08{0}{1}{2}\uff09\u6216\u5176\u4ed6\u9ad8\u5ea6\u5197\u4f59\u7684PI\u539f\u5b50\uff08\u5982{0}{1}\uff09\u4e2d\u3002\u53f3\u8fb9\u7684\u7cfb\u7edf\u4e2d\uff0c\u4e09\u4e2a\u5143\u7d20\u5177\u6709\u9ad8\u5ea6\u7684\u534f\u540c\u504f\u5dee\uff0c\u5173\u4e8e\u672a\u6765\u72b6\u6001\u7684\u4fe1\u606f\u5927\u90e8\u5206\u53ea\u5b58\u5728\u4e8e\u4e09\u4e2a\u5143\u7d20\u7684\u8054\u5408\u72b6\u6001\uff08{012}\uff09\u4e2d\u3002<\/span><\/p>\n


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

\u8861\u91cf\u7cfb\u7edf\u4e2d\u7684\u534f\u540c\u4fe1\u606f\u6bd4\u4f8b<\/span><\/strong><\/strong><\/p>\n<\/section>\n<\/section>\n<\/section>\n

\n


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

\u5bf9\u4e8e\u5305\u542b\u8d85\u8fc7\u4e24\u4e2a\u5143\u7d20\u7684\u7cfb\u7edf\uff0c\u6211\u4eec\u4e0d\u518d\u80fd\u5c06\u4e92\u4fe1\u606f\u7b80\u5355\u5730\u62c6\u5206\u4e3a\u5197\u4f59\u4fe1\u606f\u3001\u534f\u540c\u4fe1\u606f\u3001\u5355\u72ec\u4fe1\u606f\uff0c\u800c\u662f\u9700\u8981\u6784\u5efa\u4e00\u4e2a\u90e8\u5206\u4fe1\u606f\u8c31<\/strong><\/span>\uff08Partial Information Spectrum\uff09<\/span>\uff0c\u8ba1\u7b97\u4fe1\u606f\u539f\u5b50\u5728 PI \u683c\u70b9\u4e2d\u7684\u76f8\u5bf9\u4f4d\u7f6e\u662f\u9760\u8fd1\u5e95\u90e8\u8fd8\u662f\u9876\u90e8\uff0c\u4ee5\u6b64\u8861\u91cf\u4fe1\u606f\u7684\u5197\u4f59\u548c\u534f\u540c\u7a0b\u5ea6\u3002<\/span><\/section>\n

<\/section>\n
PI \u683c\u70b9\u4e2d\u8d8a\u662f\u9760\u8fd1\u9876\u90e8\u7684\u539f\u5b50\u5305\u542b\u66f4\u591a\u534f\u540c\u4fe1\u606f\uff0c\u540c\u4e00\u5c42\u7684\u4fe1\u606f\u539f\u5b50\u5177\u6709\u76f8\u540c\u7684\u5197\u4f59-\u534f\u540c\u6bd4\u7387\uff0c\u56e0\u6b64\u53ef\u4ee5\u5c06\u90e8\u5206\u4fe1\u606f\u8c31 S \u770b\u4f5c\u4e00\u4e2a\u6709\u5e8f\u5e8f\u5217\u3002\u6211\u4eec\u8fdb\u4e00\u6b65\u5b9a\u4e49\u534f\u540c\u504f\u5dee<\/strong><\/span>\uff08synergy bias\uff09<\/span>\uff0c\u5b9a\u91cf\u6bd4\u8f83\u4e0d\u540c PI \u683c\u70b9\u9876\u90e8\u6240\u5305\u542b\u7684\u534f\u540c\u4fe1\u606f\u6bd4\u4f8b\u3002\u7cfb\u7edf\u7684\u534f\u540c\u504f\u5dee\u5b9a\u4e49\u4e3a\uff0c\u6bcf\u4e00\u5c42\u7684\u5f52\u4e00\u5316\u90e8\u5206\u4fe1\u606f<\/span>\uff08Si<\/sub><\/span> \u662f\u7b2c i \u5c42\u7684\u6240\u6709\u4fe1\u606f\u539f\u5b50\u5360\u603b\u4e92\u4fe1\u606f\u7684\u6bd4\u4f8b\uff09<\/span>\u4e58\u4ee5\u8be5\u5c42\u76f8\u5bf9\u4e8e\u683c\u70b9\u5e95\u90e8\u7684\u8ddd\u79bb<\/span>\uff08\u5c42\u6570 i \u9664\u4ee5\u683c\u70b9\u603b\u5c42\u6570 |S|\uff09<\/span>\uff1a<\/span><\/section>\n

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

<\/section>\n
\u534f\u540c\u504f\u5dee\u8d8a\u5927\uff0c\u8868\u660e\u5927\u90e8\u5206\u90e8\u5206\u4fe1\u606f\u5b58\u5728\u4e8e\u5143\u7d20\u7684\u534f\u540c\u5173\u7cfb\u4e2d<\/span><\/strong>\uff1b\u534f\u540c\u504f\u5dee\u8d8a\u5c0f\uff0c\u8868\u660e\u5927\u90e8\u5206\u90e8\u5206\u4fe1\u606f\u5197\u4f59\u5b58\u5728\u4e8e\u591a\u4e2a\u5143\u7d20\u4e2d\u3002<\/span><\/section>\n

<\/section>\n

\n
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<\/p>\n

\n
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<\/section>\n

<\/section>\n
\n
<\/svg><\/section>\n<\/section>\n<\/section>\n
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\u4e09\u3001\u8de8\u5c3a\u5ea6\u4fe1\u606f\u8f6c\u6362\u7684\u8bc1\u636e<\/span><\/strong><\/strong><\/p>\n<\/section>\n

\n

<\/section>\n

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


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

\n
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1. \u5b8f\u89c2\u5c3a\u5ea6\uff0c\u4fe1\u606f\u7684\u534f\u540c\u4f5c\u7528\u589e\u52a0<\/span><\/strong><\/strong><\/p>\n<\/section>\n<\/section>\n<\/section>\n

\n


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

\u8bba\u6587\u9996\u5148\u4ee5\u903b\u8f91\u95e8\u4e3a\u4f8b\uff0c\u5c55\u793a\u8de8\u5c3a\u5ea6\u4fe1\u606f\u8f6c\u6362\u3002\u901a\u8fc7\u5c063\u4e2a\u57fa\u672c\u903b\u8f91\u95e8<\/span>\uff08\u4e0e\u3001\u6216\u3001\u5f02\u6216\uff09<\/span>\u5206\u89e3\u4e3a\u5177\u6709\u66f4\u7b80\u5355\u673a\u5236\u7684\u5fae\u89c2\u5c3a\u5ea6\u903b\u8f91\u95e8\uff0c\u53ef\u4ee5\u76f4\u63a5\u6bd4\u8f83\u5fae\u89c2\u5c3a\u5ea6\u548c\u5b8f\u89c2\u5c3a\u5ea6\u5404\u81ea\u7684\u90e8\u5206\u4fe1\u606f\u5206\u5e03\u3002<\/span><\/section>\n

<\/section>\n
\u4ee5\u300c\u5f02\u6216\u95e8\u300d<\/span>\uff08XOR\uff09<\/span>\u4e3a\u4f8b\uff0c\u5982\u56fe2\u6240\u793a\uff0c\u5b83\u5728\u5b8f\u89c2\u5c3a\u5ea6\u5305\u542b3\u4e2a\u5143\u7d20<\/span>\uff08XOR\uff0c\u8f93\u5165A\u548cB\uff09<\/span>\uff0c\u5728\u5fae\u89c2\u5c3a\u5ea6\u53ef\u4ee5\u5206\u89e3\u4e3a\u4e00\u4e2a\u300c\u975e\u95e8\u300d\u3001\u4e00\u4e2a\u300c\u4e0e\u95e8\u300d\u548c\u4e00\u4e2a\u300c\u6216\u95e8\u300d\u7ec4\u6210\u7684\u7f51\u7edc\uff0c\u5171\u5305\u542b5\u4e2a\u5143\u7d20<\/span>\uff08NAND\u3001AND\u3001OR\uff0c\u8f93\u5165A\u548cB\uff09<\/span>\u3002\u8ba1\u7b97\u76f8\u540c\u8f93\u5165\u4e0b\u5b8f\u89c2\u5c3a\u5ea6\u548c\u5fae\u89c2\u5c3a\u5ea6\u7684\u4e92\u4fe1\u606f\u53ef\u4ee5\u53d1\u73b0\uff0c\u5728\u5fae\u89c2\u5c3a\u5ea6\uff0c\u7cfb\u7edf\u7684\u4e92\u4fe1\u606f\u4e3a2.5\u6bd4\u7279\uff0c\u5728\u5b8f\u89c2\u5c3a\u5ea6\u5219\u662f1\u6bd4\u7279\u3002\u4f7f\u7528PID\u5bf9\u7ed3\u679c\u8fdb\u884c\u5206\u89e3\uff0c\u7cfb\u7edf\u7684\u534f\u540c\u504f\u5dee\u4ece\u5fae\u89c2\u5c3a\u5ea6\u76840.52\u589e\u52a0\u5230\u5b8f\u89c2\u5c3a\u5ea6\u76840.83<\/span>\uff08\u88681\uff09<\/span>\u3002\u4e5f\u5c31\u662f\u8bf4\uff0c\u867d\u7136\u5b8f\u89c2\u5c3a\u5ea6\u7684\u6574\u4f53\u4e92\u4fe1\u606f\u51cf\u5c11\uff0c\u4f46\u4fe1\u606f\u7684\u534f\u540c\u4f5c\u7528\u589e\u52a0<\/strong>\u3002\u5bf9\u4e8e\u300c\u6216\u95e8\u300d\u548c\u300c\u4e0e\u95e8\u300d\u4e5f\u662f\u5982\u6b64\uff0c\u5c3d\u7ba1\u7a0b\u5ea6\u8f83\u8f7b\u3002<\/span><\/section>\n

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

\u56fe2. \u4e09\u79cd\u903b\u8f91\u95e8\uff08\u53f3\u4fa7\uff09\u53ca\u5176\u5e95\u5c42\u5fae\u89c2\u5c3a\u5ea6\u903b\u8f91\u95e8\u7f51\u7edc\uff08\u5de6\u4fa7\uff09\u7684\u90e8\u5206\u4fe1\u606f\u8c31\u3002\u4ece\u4e0a\u5230\u4e0b\u5206\u522b\u4e3a\uff1a\u4e0e\uff08AND\uff09\u3001\u6216\uff08OR\uff09\u3001\u5f02\u6216\uff08XOR \uff09\u3002\u534f\u540c\u504f\u5dee\u548c\u4e92\u4fe1\u606f\u5982\u88681\u6240\u793a\u3002<\/span><\/p>\n


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

\u88681. \u4e09\u79cd\u903b\u8f91\u95e8\u7684\u4e92\u4fe1\u606f\u548c\u534f\u540c\u504f\u5dee\u3002\u4ece\u5fae\u89c2\u5230\u5b8f\u89c2\uff0c\u968f\u7740\u7c97\u7c92\u5316\u7a0b\u5ea6\u63d0\u9ad8\uff0c\u4e92\u4fe1\u606f\u964d\u4f4e\uff0c\u534f\u540c\u504f\u5dee\u589e\u52a0\u3002<\/span><\/p>\n


<\/section>\n
\u8fd9\u8868\u660e\uff0c\u4ece\u5fae\u89c2\u5230\u5b8f\u89c2\u5c3a\u5ea6\uff0c\u867d\u7136\u964d\u7ef4\u51cf\u5c11\u4e86\u7cfb\u7edf\u7684\u603b\u4fe1\u606f\u91cf\uff0c\u4f46\u201c\u5269\u4f59\u201d\u4fe1\u606f\u53ef\u4ee5\u5728\u5b8f\u89c2PI\u683c\u70b9\u4e0a\u79fb\u52a8\u5230\u66f4\u9ad8\u5c42\u7ea7\u3002\u4e5f\u5c31\u662f\u8bf4\uff0c\u50cf\u7c97\u7c92\u5316\u8fd9\u6837\u7684\u964d\u7ef4\u53ef\u4ee5\u6539\u53d8\u7cfb\u7edfPI\u683c\u70b9\u7684\u4fe1\u606f\u5206\u5e03\uff0c\u5373\u4f7f\u8fd9\u4e24\u79cd\u5c3a\u5ea6\u53ea\u662f\u5bf9\u540c\u4e00\u7cfb\u7edf\u7684\u4e0d\u540c\u63cf\u8ff0\u3002<\/span><\/section>\n

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

2. \u968f\u7740\u7c97\u7c92\u5316\uff0c\u5197\u4f59\u4fe1\u606f\u8f6c\u6362\u4e3a\u534f\u540c\u4fe1\u606f<\/span><\/strong><\/strong><\/p>\n<\/section>\n<\/section>\n<\/section>\n

\n


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

\u5bf9\u4e8e\u4e0a\u9762\u7684\u4f8b\u5b50\uff0c\u6709\u4eba\u53ef\u80fd\u8d28\u7591\uff0c\u4ece\u5fae\u89c2\u5230\u5b8f\u89c2\u5c3a\u5ea6\u534f\u540c\u4fe1\u606f\u7684\u6bd4\u4f8b\u589e\u52a0\uff0c\u6216\u8bb8\u53ea\u662f\u56e0\u4e3aPI\u683c\u70b9\u5e95\u5c42\u7684\u5197\u4f59\u4fe1\u606f\u5728\u964d\u7ef4\u8fc7\u7a0b\u4e2d\u4e22\u6389\u4e86\u3002\u8bba\u6587\u63d0\u4f9b\u4e86\u53e6\u4e00\u4e2a\u66f4\u76f4\u63a5\u7684\u4f8b\u5b50\u6765\u8bf4\u660e\uff0c\u4fe1\u606f\u786e\u5b9e\u662f\u4ece\u4e00\u79cd\u7c7b\u578b\u8f6c\u6362\u4e3a\u53e6\u4e00\u79cd\u7c7b\u578b\uff0c\u5373\u4ece\u5197\u4f59\u4fe1\u606f\u8f6c\u6362\u4e3a\u534f\u540c\u4fe1\u606f\u3002<\/span><\/section>\n

<\/section>\n
\u9996\u5148\u751f\u6210\u4e00\u4e2a\u5e03\u5c14\u7f51\u7edc<\/span>\uff08\u7528\u8f6c\u79fb\u6982\u7387\u77e9\u9635TPM\u8868\u793a\uff09<\/span>\u4f5c\u4e3a\u8d77\u59cb\u7684\u5b8f\u89c2\u5c3a\u5ea6\uff0c\u7136\u540e\u5982\u56fe3\u6240\u793a\uff0c\u5c06\u8fd9\u4e2a\u7f51\u7edc\u4e0a\u7684\u5176\u4e2d\u4e00\u4e2a\u8282\u70b9\u5206\u88c2\u6210\u4e24\u4e2a\u8282\u70b9\uff0c\u7136\u540e\u7ee7\u7eed\u5206\u88c2\uff0c\u5c31\u4ece\u5b8f\u89c2\u7cfb\u7edf\u9010\u6b65\u53d8\u6210\u66f4\u5c0f\u5c3a\u5ea6\u7684\u4e2d\u89c2\u7cfb\u7edf\u3001\u5fae\u89c2\u7cfb\u7edf\u3002\u901a\u8fc7\u5728\u65b0\u7684\u6269\u5c55\u72b6\u6001\u7a7a\u95f4\u4e2d\u91cd\u65b0\u5206\u914d\u8f6c\u79fb\u6982\u7387\uff0c\u53ef\u4ee5\u786e\u4fdd\u968f\u7740\u7ef4\u5ea6\u589e\u52a0\uff0c\u7cfb\u7edf\u7684\u6574\u4f53\u4e92\u4fe1\u606f\u4fdd\u6301\u4e0d\u53d8\u3002\u7531\u4e8e\u7cfb\u7edf\u4e92\u4fe1\u606f\u5728\u4e0d\u540c\u5c3a\u5ea6\u4fdd\u6301\u4e0d\u53d8\uff0c\u534f\u540c\u504f\u5dee\u7684\u4efb\u4f55\u53d8\u5316\u5fc5\u7136\u6765\u81ea\u4fe1\u606f\u8f6c\u6362\uff0c\u800c\u975e\u4fe1\u606f\u4e22\u5931\u3002<\/span><\/section>\n

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

\u56fe3. \u5728\u4e92\u4fe1\u606f\u56fa\u5b9a\u7684\u60c5\u51b5\u4e0b\uff0c\u4ece\u7ed9\u5b9a\u7684\u5b8f\u89c2\u5c3a\u5ea6\u6784\u5efa\u5fae\u89c2\u5c3a\u5ea6\u3002\u5de6\u4fa7\u4e3a\u4e00\u4e2a\u4e09\u5143\u7d20\u7cfb\u7edf\uff0c\u9009\u62e9\u5355\u4e2a\u8282\u70b9 (A) \u6269\u5c55\u4e3a\u4e24\u4e2a\u8282\u70b9 \u03b1 \u548c \u03b2\uff0c\u5f62\u6210\u4e00\u4e2a\u56db\u5143\u7d20\u7cfb\u7edf\uff08\u4e2d\uff09\uff1b\u9009\u62e9\u53e6\u4e00\u4e2a\u8282\u70b9 (\u03b1) \u518d\u6b21\u6269\u5c55\uff0c\u5f97\u5230\u6700\u7ec8\u7684\u5fae\u89c2\u7cfb\u7edf\uff08\u53f3\uff09\u3002\u5728\u8282\u70b9\u6269\u5c55\u8fc7\u7a0b\u4e2d\uff0c\u4ece\u8fc7\u53bb\u5230\u672a\u6765\u72b6\u6001\u7684\u6574\u4f53\u4e92\u4fe1\u606f\u4fdd\u6301\u4e0d\u53d8\u3002\u4e0b\u9762\u4e00\u884c\u662f\u5bf9\u5e94\u7684\u8f6c\u79fb\u6982\u7387\u77e9\u9635\uff08Transition Probability Matrix, TPM\uff09\u3002<\/span><\/p>\n


<\/section>\n
\u53cd\u8fc7\u6765\u5bf9\u5fae\u89c2\u5c3a\u5ea6\u4e0d\u65ad\u8fdb\u884c\u7c97\u7c92\u5316\uff0c\u53ef\u4ee5\u53d1\u73b0\uff0c\u4ece\u5fae\u89c2\u5230\u5b8f\u89c2\u8f6c\u6362\u8fc7\u7a0b\u4e2d\u534f\u540c\u504f\u5dee\u7684\u589e\u52a0\uff0c\u4e0e\u5b8f\u89c2\u534f\u540c\u504f\u5dee\u4e4b\u95f4\u5177\u6709\u660e\u663e\u7684\u6b63\u76f8\u5173\u5173\u7cfb<\/span>\uff08\u56fe4\uff09<\/span>\u3002\u8fd9\u8868\u660e\u5373\u4f7f\u7cfb\u7edf\u7684\u603b\u4e92\u4fe1\u606f\u5728\u8de8\u5c3a\u5ea6\u60c5\u51b5\u4e0b\u4fdd\u6301\u4e0d\u53d8\uff0c\u5b8f\u89c2\u5c3a\u5ea6\u4e0a\u534f\u540c\u504f\u5dee\u589e\u52a0\uff0c\u5fae\u89c2\u5c3a\u5ea6\u4e0a\u5197\u4f59\u4fe1\u606f\u589e\u52a0\u3002\u56e0\u4e3a\u603b\u4e92\u4fe1\u606f\u4fdd\u6301\u4e0d\u53d8\uff0c\u5b8f\u89c2\u5c3a\u5ea6\u4e0a\u534f\u540c\u4fe1\u606f\u7684\u589e\u52a0\u53ea\u53ef\u80fd\u6765\u81ea\u5fae\u89c2\u5c3a\u5ea6\u4e0a\u5197\u4f59\u4fe1\u606f\u7684\u51cf\u5c11<\/strong>\u3002\u8fd9\u4e5f\u8bc1\u660e\uff0c\u964d\u7ef4\u53ef\u4ee5\u901a\u8fc7\u5c06\u4fe1\u606f\u66f4\u591a\u5730\u8f6c\u6362\u4e3a\u534f\u540c\u4fe1\u606f\uff0c\u6765\u589e\u52a0\u7cfb\u7edf\u7684\u6574\u4f53\u534f\u540c\u6027\u3002<\/span><\/section>\n

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

\u56fe4. \u534f\u540c\u504f\u5dee\u7684\u8de8\u5c3a\u5ea6\u53d8\u5316\u3002\u4ece\u5fae\u89c2\u5c3a\u5ea6\u5230\u5b8f\u89c2\u5c3a\u5ea6\u534f\u540c\u504f\u5dee\u7684\u53d8\u5316\u4e0e\u5b8f\u89c2\u534f\u540c\u504f\u5dee\u4e24\u8005\u4e4b\u95f4\u5b58\u5728\u660e\u663e\u7684\u6b63\u76f8\u5173\u5173\u7cfb\u3002<\/span><\/p>\n


<\/section>\n

\n
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<\/p>\n

\n
\n

<\/section>\n

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

\u56db\u3001\u56e0\u679c\u6d8c\u73b0\u4f5c\u4e3a\u4fe1\u606f\u8f6c\u6362<\/span><\/strong><\/strong><\/p>\n<\/section>\n

\n

<\/section>\n

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


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

\u6211\u4eec\u770b\u5230\u4ece\u5fae\u89c2\u5c3a\u5ea6\u5230\u5b8f\u89c2\u5c3a\u5ea6\u4fe1\u606f\u8f6c\u6362\u7684\u8bc1\u636e\uff0c\u90a3\u5b83\u548c\u5173\u4e8e\u6d8c\u73b0\u7684\u5176\u4ed6\u4fe1\u606f\u8bba\u65b9\u6cd5\u6709\u4f55\u5173\u7cfb\uff1f\u5982\u4f55\u5728\u6355\u6349\u56e0\u679c\u6548\u5e94\u7684\u6709\u6548\u4fe1\u606f<\/span>\uff08Effective information, EI\uff09<\/span>\u6d4b\u91cf\u4e2d\u53d1\u6325\u4f5c\u7528\uff1f<\/span><\/section>\n

<\/section>\n
\u7814\u7a76\u5df2\u7ecf\u8bc1\u660e\uff0c\u6709\u6548\u4fe1\u606f\u7684\u8de8\u5c3a\u5ea6\u53d8\u5316\u6e90\u81ea\u786e\u5b9a\u6027<\/span>\uff08determinism\uff09<\/span>\u548c\u7b80\u5e76\u6027<\/span>\uff08degeneracy\uff09<\/span>\u7684\u53d8\u5316\uff1a<\/span><\/section>\n

<\/span><\/section>\n
\u6709\u6548\u4fe1\u606f = \u786e\u5b9a\u6027 – \u7b80\u5e76\u6027<\/span><\/section>\n

<\/span><\/section>\n
\u5176\u4e2d\u786e\u5b9a\u6027\u8861\u91cf\u4ece\u67d0\u4e2a\u72b6\u6001\u51fa\u53d1\uff0c\u53ef\u4ee5\u5728\u591a\u5927\u7a0b\u5ea6\u4e0a\u786e\u5b9a\u6027\u5730\u51b3\u5b9a\u7cfb\u7edf\u7684\u672a\u6765\u72b6\u6001\uff1b\u4e00\u4e2a\u5b8c\u5168\u786e\u5b9a\u6027\u7684\u7cfb\u7edf\uff0c\u5176\u5f53\u524d\u72b6\u6001\u4ee5\u6982\u73871\u51b3\u5b9a\u7cfb\u7edf\u4e0b\u4e00\u65f6\u523b\u7684\u72b6\u6001\u3002\u7b80\u5e76\u6027\u8861\u91cf\u5f53\u7cfb\u7edf\u5904\u4e8e\u67d0\u4e2a\u72b6\u6001\u65f6\uff0c\u53ef\u4ee5\u5728\u591a\u5927\u7a0b\u5ea6\u4e0a\u786e\u5b9a\u7cfb\u7edf\u7684\u8fc7\u53bb\u72b6\u6001\uff1b\u4e00\u4e2a\u6781\u7aef\u7b80\u5e76\u7684\u7cfb\u7edf\uff0c\u5176\u6240\u6709\u8fc7\u53bb\u72b6\u6001\u6700\u7ec8\u90fd\u6536\u655b\u5230\u76f8\u540c\u7684\u6700\u7ec8\u72b6\u6001\uff0c\u53cd\u4e4b\uff0c\u4e00\u4e2a\u5b8c\u5168\u4e0d\u7b80\u5e76\u7684\u7cfb\u7edf\uff0c\u5176\u8fc7\u53bb\u72b6\u6001\u4f1a\u786e\u5b9a\u4e00\u4e2a\u552f\u4e00\u7684\u6700\u7ec8\u72b6\u6001\u3002<\/span>
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\u672a\u6765\u7684\u8fdb\u4e00\u6b65\u5de5\u4f5c\u53ef\u4ee5\u7814\u7a76\uff0c\u534f\u540c\u4fe1\u606f\u5728\u4ec0\u4e48\u5c3a\u5ea6\u8fbe\u5230\u5cf0\u503c\uff0c\u6216\u8005\u627e\u5230\u5728\u4ec0\u4e48\u5c3a\u5ea6\u53ef\u4ee5\u6700\u5927\u9650\u5ea6\u8f6c\u6362\u4fe1\u606f\uff0c\u540c\u65f6\u6700\u5c0f\u5316\u4e22\u5931\u4fe1\u606f\u3002\u5c3d\u7ba1\u8fd9\u9879\u7814\u7a76\u8bc1\u660e\u4e86\u4e00\u4e9b\u5197\u4f59\u4fe1\u606f\u8f6c\u6362\u4e3a\u534f\u540c\u4fe1\u606f\uff0c\u7a76\u7adf\u662f\u54ea\u4e9b\u4fe1\u606f\u6539\u53d8\u4e86\u5f62\u5f0f\u8fd8\u6709\u5f85\u7406\u89e3\u3002<\/span><\/section>\n

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\u8fd9\u7bc7\u8bba\u6587\u7684\u5047\u8bbe\u662f\uff0c\u7269\u7406\u4e4b\u4e0a\u7684\u5176\u4ed6\u79d1\u5b66\u5b66\u79d1\u4ee5\u53ca\u4e00\u822c\u7684\u5b8f\u89c2\u6a21\u578b\uff0c\u6d89\u53ca\u5230\u5197\u4f59\u4fe1\u606f\u5230\u534f\u540c\u4fe1\u606f\u548c\u5355\u72ec\u4fe1\u606f\u7684\u8f6c\u6362\uff0c\u4f7f\u5f97\u8fd9\u79cd\u5b8f\u89c2\u5c3a\u5ea6\u5bf9\u5b9e\u9a8c\u8005\u975e\u5e38\u6709\u7528\u3002\u5c06\u8fd9\u4e00\u70b9\u4e0e\u4e4b\u524d\u7684\u7814\u7a76\u8054\u7cfb\u8d77\u6765\uff0c\u5b8f\u89c2\u6a21\u578b\u53ef\u4ee5\u901a\u8fc7\u4f7f\u6a21\u578b\u4e2d\u53d8\u91cf\u4e4b\u95f4\u7684\u56e0\u679c\u5173\u7cfb\u66f4\u52a0\u4f9d\u8d56<\/strong><\/span>\uff08\u901a\u8fc7\u589e\u52a0\u786e\u5b9a\u6027\u6216\u51cf\u5c11\u7b80\u5e76\u6027\uff09<\/span>\uff0c\u5c06\u56e0\u679c\u65e0\u5173\u7684\u4fe1\u606f\u8f6c\u6362\u4e3a\u56e0\u679c\u76f8\u5173\u7684\u4fe1\u606f\uff0c\u5b9e\u73b0\u56e0\u679c\u6d8c\u73b0\u3002<\/strong><\/span><\/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\u548c\u52a0\u5dde\u5927\u5b66\u5723\u5730\u4e9a\u54e5\u5206\u6821\u52a9\u7406\u6559\u6388\u5c24\u4ea6\u5e84\u7b49\u4eba\u53d1\u8d77\u7684\u300c\u56e0\u679c\u6d8c\u73b0\u300d\u7cfb\u5217\u8bfb\u4e66\u4f1a\u7b2c\u4e8c\u5b63<\/a>\uff0c\u5c06\u7ec4\u7ec7\u5bf9\u672c\u8bdd\u9898\u611f\u5174\u8da3\u7684\u670b\u53cb\uff0c\u6df1\u5165\u7814\u8bfb\u76f8\u5173\u6587\u732e\uff0c\u6fc0\u53d1\u79d1\u7814\u7075\u611f\u3002\u672c\u8bfb\u4e66\u4f1a\u81ea2022\u5e745\u670822\u65e5\u5f00\u59cb\uff0c\u6bcf\u5468\u65e5\u665a19:00\u4e3e\u529e\uff0c\u9884\u8ba1\u6301\u7eed7-8\u5468\u3002\u6b22\u8fce\u611f\u5174\u8da3\u7684\u670b\u53cb\u62a5\u540d\u53c2\u4e0e\u3002<\/span><\/section>\n

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