{"id":52798,"date":"2024-09-23T22:57:51","date_gmt":"2024-09-23T14:57:51","guid":{"rendered":"https:\/\/swarma.org\/?p=52798"},"modified":"2024-09-23T22:57:51","modified_gmt":"2024-09-23T14:57:51","slug":"%e7%94%a8%e6%9c%ba%e5%99%a8%e8%af%86%e5%88%ab%e6%b6%8c%e7%8e%b0%e5%8f%91%e7%94%9f%ef%bc%9aneural-information-squeezer%ef%bd%9c%e9%9b%86%e6%99%ba%e7%99%be%e7%a7%91%e9%9b%86%e6%99%ba%e7%99%be%e7%a7%91","status":"publish","type":"post","link":"https:\/\/swarma.org\/?p=52798","title":{"rendered":"\u7528\u673a\u5668\u8bc6\u522b\u6d8c\u73b0\u53d1\u751f\uff1aNeural Information Squeezer\uff5c\u96c6\u667a\u767e\u79d1\u96c6\u667a\u767e\u79d1"},"content":{"rendered":"
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NIS\uff08\u795e\u7ecf\u4fe1\u606f\u538b\u7f29\u5668\uff0c\u82f1\u6587\u4e3a\uff1aNeural Information Squeezer\uff0c\u7b80\u79f0NIS\uff09\u662f\u4e00\u4e2a\u4ee5\u89e3\u51b3\u56e0\u679c\u6d8c\u73b0\u8fa8\u8bc6\u95ee\u9898\u4e3a\u76ee\u7684\u7684\u795e\u7ecf\u7f51\u7edc\u6846\u67b6[1]\u3002\u5b83\u7531\u7f16\u7801\u5668\u3001\u89e3\u7801\u5668\u3001\u52a8\u529b\u5b66\u5b66\u4e60\u5668\u4e09\u90e8\u5206\u7ec4\u6210\uff0c\u5176\u4e2d\u7f16\u7801\u5668\u3001\u89e3\u7801\u5668\u5171\u4eab\u540c\u4e00\u4e2a\u53ef\u9006\u795e\u7ecf\u7f51\u7edc\u3002NIS\u53ef\u4ee5\u901a\u8fc7\u5fae\u89c2\u72b6\u6001\u65f6\u95f4\u5e8f\u5217\u7684\u8f93\u5165\u3001\u8bad\u7ec3\u540e\u8f93\u51fa\u7c97\u7c92\u5316\u7b56\u7565\u3001\u5b8f\u89c2\u52a8\u529b\u5b66\u3001\u6700\u4f18\u5efa\u6a21\u5c3a\u5ea6\uff0c\u5e76\u5224\u65ad\u662f\u5426\u5b58\u5728\u56e0\u679c\u6d8c\u73b0\u3002NIS\u6846\u67b6\u53ef\u4ee5\u88ab\u89c6\u4e3a\u4e00\u4e2a\u538b\u7f29\u4fe1\u9053\uff0c\u901a\u8fc7\u6295\u5f71\u64cd\u4f5c\u5728\u4e2d\u95f4\u8fdb\u884c\u4fe1\u606f\u538b\u7f29\u3002\u8fd9\u79cd\u538b\u7f29\u4fe1\u606f\u901a\u9053\u901a\u8fc7\u7ea6\u675f\u7c97\u7c92\u5316\u7b56\u7565\uff0c\u5c06\u590d\u6742\u7684\u5fae\u89c2\u72b6\u6001\u6620\u5c04\u5230\u7b80\u5355\u7684\u5b8f\u89c2\u72b6\u6001\uff0c\u4ece\u800c\u5b9a\u4e49\u4e86\u6709\u6548\u7684\u7c97\u7c92\u5316\u7b56\u7565\u548c\u5b8f\u89c2\u6001\u3002\u901a\u8fc7\u7406\u8bba\u63a8\u5bfc\u53ef\u4ee5\u8bc1\u660e\u4e00\u7cfb\u5217\u6570\u5b66\u7ed3\u8bba\uff0c\u4f8b\u5982\uff1a\u901a\u8fc7\u795e\u7ecf\u7f51\u7edc\u7684\u8bad\u7ec3\u8fc7\u7a0b\uff0c\u5b8f\u89c2\u52a8\u529b\u5b66\u7684\u4e92\u4fe1\u606f\u53ef\u4ee5\u9010\u6e10\u903c\u8fd1\u771f\u5b9e\u6570\u636e\u4e2d\u5fae\u89c2\u6001\u5728\u4e00\u4e2a\u65f6\u95f4\u6b65\u5185\u7684\u4e92\u4fe1\u606fI(Xt+1<\/sub>; Xt<\/sub>)\uff0c\u5e76\u4e14\u8fd9\u79cd\u903c\u8fd1\u7a0b\u5ea6\u4f1a\u968f\u7740\u5b8f\u89c2\u6001\u7ef4\u5ea6\u7684\u589e\u52a0\u800c\u51cf\u5c11\u3002\u9a8c\u8bc1\u5176\u6027\u8d28\u7684\u5b9e\u9a8c\u5305\u62ec\u5e26\u6d4b\u91cf\u566a\u58f0\u7684\u5f39\u7c27\u632f\u5b50\u6a21\u578b\u3001\u7b80\u5355\u5e03\u5c14\u7f51\u7edc\u7b49\u3002NIS\u6574\u4f53\u76ee\u6807\u5728\u4e8e\u6700\u5927\u5316\u6709\u6548\u4fe1\u606f\uff0c\u4f46NIS\u53ea\u901a\u8fc7\u7ef4\u5ea6\u53c2\u6570\u5bfb\u4f18\u7684\u65b9\u5f0f\u90e8\u5206\u5b9e\u73b0\u4e86\u8fd9\u4e00\u4f18\u5316\u76ee\u6807\uff0c\u5173\u4e8e\u8fd9\u4e00\u95ee\u9898\u66f4\u5f7b\u5e95\u7684\u89e3\u51b3\u884d\u751f\u51fa\u4e86NIS+\u6846\u67b6\u3002NIS\u5c55\u793a\u4e86\u5728\u65f6\u95f4\u5e8f\u5217\u6570\u636e\u4e2d\u53d1\u73b0\u5b8f\u89c2\u52a8\u529b\u5b66\u3001\u7c97\u7c92\u5316\u7b56\u7565\u548c\u56e0\u679c\u6d8c\u73b0\u7684\u7406\u8bba\u6027\u8d28\u548c\u5e94\u7528\u6f5c\u529b\u3002<\/span><\/strong><\/section>\n<\/section>\n
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\u5218\u4f73\u777f<\/span> <\/span>| \u4f5c\u8005<\/span><\/strong><\/span><\/p>\n

\u5f20\u6c5f\u3001\u738b\u5fd7\u9e4f\u3001\u5218\u51ef\u5a01<\/span> <\/span>| \u6574\u7406&\u5ba1\u6821<\/span><\/strong><\/span><\/strong><\/span><\/p>\n


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1.<\/span><\/strong>\u5386\u53f2<\/span><\/strong>
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1.1\u56e0\u679c\u6d8c\u73b0\u7684\u8bc6\u522b<\/span><\/p>\n

1.2\u6807\u51c6\u5316\u6d41\u6280\u672f<\/span><\/p>\n

1.3\u53ef\u9006\u795e\u7ecf\u7f51\u7edc\u6280\u672f<\/span><\/p>\n

1.4\u6700\u5927\u5316EI<\/span><\/p>\n

2.<\/span><\/strong>\u7b80\u4ecb<\/span><\/strong><\/section>\n

2.1\u6570\u5b66\u5b9a\u4e49<\/span><\/p>\n

2.2\u795e\u7ecf\u7f51\u7edc\u6846\u67b6<\/span><\/p>\n

3.<\/span><\/strong>\u6570\u5b66\u63cf\u8ff0<\/span><\/strong><\/section>\n

3.1\u57fa\u672c\u6982\u5ff5<\/span><\/p>\n

3.1.1\u5fae\u89c2\u52a8\u529b\u5b66<\/span><\/p>\n

3.1.2\u5fae\u89c2\u6001<\/span><\/p>\n

3.1.3 \u7ef4\u7c97\u7c92\u5316\u7b56\u7565<\/span><\/p>\n

3.1.4\u5b8f\u89c2\u52a8\u529b\u5b66<\/span><\/p>\n

3.1.5\u6709\u6548\u7c97\u7c92\u5316\u7b56\u7565<\/span><\/p>\n

3.1.6\u6709\u6548\u5b8f\u89c2\u52a8\u529b\u5b66<\/span><\/p>\n

3.2\u6700\u5927\u5316\u6709\u6548\u4fe1\u606f<\/span><\/p>\n

4.<\/span><\/strong>NIS\u673a\u5668\u5b66\u4e60\u6846\u67b6<\/span><\/strong><\/section>\n

4.1\u7f16\u7801\u5668<\/span><\/p>\n

4.1.1\u03c8<\/span><\/span><\/p>\n

4.1.2\u6295\u5f71\u64cd\u4f5c<\/span><\/p>\n

4.1.3\u5408\u6210<\/span><\/p>\n

4.2\u52a8\u529b\u5b66\u5b66\u4e60\u5668<\/span><\/p>\n

4.3\u89e3\u7801\u5668<\/span><\/p>\n

4.4\u4f7f\u7528\u53ef\u9006\u795e\u7ecf\u7f51\u7edc\u7684\u539f\u56e0<\/span><\/p>\n

4.5\u4e24\u6b65\u4f18\u5316<\/span><\/p>\n

4.5.1\u8bad\u7ec3\u4e00\u4e2a\u9884\u6d4b\u5668<\/span><\/p>\n

4.5.2\u9009\u62e9\u4e00\u4e2a\u6700\u4f18\u7684\u5c3a\u5ea6<\/span><\/p>\n

5.<\/span><\/strong>NIS\u7684\u7406\u8bba\u6027\u8d28<\/span><\/strong><\/section>\n

5.1\u538b\u7f29\u4fe1\u9053\u7406\u8bba<\/span><\/p>\n

5.1.1\u4fe1\u606f\u538b\u7f29\u7684\u4fe1\u606f\u74f6\u9888<\/span><\/p>\n

5.2\u8bad\u7ec3\u8fc7\u7a0b\u7684\u53d8\u5316<\/span><\/p>\n

5.2.1\u6a21\u578b\u7684\u4e92\u4fe1\u606f\u4e0e\u6570\u636e\u7684\u4e92\u4fe1\u606f\u63a5\u8fd1<\/span><\/p>\n

5.2.2\u4fe1\u606f\u74f6\u9888\u662f\u7f16\u7801\u5668\u7684\u4e0b\u754c<\/span><\/p>\n

5.3\u6709\u6548\u4fe1\u606f\u4e3b\u8981\u7531\u7c97\u7c92\u5316\u51fd\u6570\u51b3\u5b9a<\/span><\/p>\n

5.3.1\u5b8f\u89c2\u52a8\u529b\u5b66\u6709\u6548\u4fe1\u606f\u7684\u6570\u5b66\u8868\u8fbe\u5f0f<\/span><\/p>\n

5.4\u4e92\u4fe1\u606f\u968f\u5c3a\u5ea6\u7684\u53d8\u5316<\/span><\/p>\n

5.4.1\u5982\u679c\u6a21\u578b\u8bad\u7ec3\u826f\u597d\uff0c\u5b8f\u89c2\u52a8\u529b\u5b66\u7684\u4e92\u4fe1\u606f\u4e0d\u4f1a\u53d1\u751f\u53d8\u5316<\/span><\/p>\n

5.4.2\u4fe1\u9053\u8d8a\u7a84\u4e92\u4fe1\u606f\u8d8a\u5c0f<\/span><\/p>\n

6.<\/span><\/strong>\u6570\u503c\u5b9e\u9a8c<\/span><\/strong><\/section>\n

6.1\u5e26\u6d4b\u91cf\u566a\u58f0\u7684\u5f39\u7c27\u632f\u8361\u5668<\/span><\/p>\n

6.2\u7b80\u5355\u9a6c\u5c14\u53ef\u592b\u94fe<\/span><\/p>\n

6.3\u7b80\u5355\u5e03\u5c14\u7f51\u7edc<\/span><\/p>\n

7.<\/span><\/strong>\u6709\u6548\u4fe1\u606f\u7684\u5ea6\u91cf<\/span><\/strong><\/section>\n
8.<\/span><\/strong>\u603b\u7ed3\u4e0e\u5c55\u671b<\/span><\/strong><\/section>\n

8.1NIS\u7684\u4f18\u70b9<\/span><\/p>\n

8.2NIS\u7684\u7f3a\u70b9<\/span><\/p>\n

8.3\u672a\u6765\u5c55\u671b\uff1aNIS+\u6846\u67b6<\/span><\/p>\n


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

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1.1 \u56e0\u679c\u6d8c\u73b0\u7684\u8bc6\u522b<\/span><\/strong><\/span><\/h2>\n

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\u5c3d\u7ba1\u5df2\u7ecf\u5b58\u5728\u8bb8\u591a\u8de8\u65f6\u95f4\u548c\u7a7a\u95f4\u5c3a\u5ea6\u7684\u56e0\u679c\u6d8c\u73b0\u7684\u5177\u4f53\u4f8b\u5b50[2]\uff0c\u4f46\u662f\u4f20\u7edf\u65b9\u6cd5\u9700\u8981\u9884\u5148\u6307\u5b9a\u7c97\u7c92\u5316\u65b9\u6848\u548c\u5fae\u89c2\u52a8\u529b\u5b66\u7684\u9a6c\u5c14\u79d1\u592b\u8f6c\u79fb\u77e9\u9635\u3002\u56e0\u6b64\uff0c\u6211\u4eec\u4ecd\u7136\u9700\u8981\u4e00\u79cd\u4ec5\u4ece\u6570\u636e\u4e2d\u8bc6\u522b\u56e0\u679c\u6d8c\u73b0\u7684\u65b9\u6cd5\uff0c\u540c\u65f6\u627e\u5230\u6700\u4f18\u7684\u7c97\u7c92\u5316\u7b56\u7565\u548c\u5b8f\u89c2\u52a8\u529b\u5b66\u3002\u89e3\u51b3\u8fd9\u4e00\u95ee\u9898\u7684\u56f0\u96be\u4e3b\u8981\u5728\u4e8e\uff0c\u9700\u8981\u4e00\u79cd\u65b9\u6cd5\u6765\u7cfb\u7edf\u5730\u3001\u81ea\u52a8\u5730\u641c\u7d22\u6240\u6709\u53ef\u80fd\u7684\u7c97\u7c92\u5316\u7b56\u7565<\/span>\uff08\u51fd\u6570\u3001\u6620\u5c04\uff09<\/span>\uff0c\u4ece\u800c\u5f97\u5230\u5b8f\u89c2\u52a8\u529b\u5b66\uff0c\u4ee5\u53ca\u5224\u65ad\u56e0\u679c\u6d8c\u73b0\u3002\u4f46\u641c\u7d22\u7a7a\u95f4\u662f\u5fae\u89c2\u548c\u5b8f\u89c2\u4e4b\u95f4\u6240\u6709\u53ef\u80fd\u7684\u6620\u5c04\u51fd\u6570\uff0c\u4f53\u91cf\u975e\u5e38\u5de8\u5927\u3002\u4e3a\u4e86\u89e3\u51b3\u8fd9\u4e2a\u95ee\u9898\uff0cKlein \u7b49\u4eba\u91cd\u70b9\u7814\u7a76\u4e86\u5177\u6709\u7f51\u7edc\u7ed3\u6784\u7684\u590d\u6742\u7cfb\u7edf\uff0c\u5c06\u7c97\u7c92\u5316\u95ee\u9898\u8f6c\u5316\u4e3a\u8282\u70b9\u805a\u7c7b\uff0c\u5373\u627e\u5230\u4e00\u79cd\u65b9\u6cd5\u5c06\u8282\u70b9\u5206\u7ec4\uff0c\u4f7f\u5f97\u7c07\u7ea7\u522b\u7684\u8fde\u63a5\u6bd4\u539f\u59cb\u7f51\u7edc\u5177\u6709\u66f4\u5927\u7684\u6709\u6548\u4fe1\u606f\u3002\u867d\u7136\u8be5\u65b9\u6cd5\u5047\u8bbe\u5e95\u5c42\u8282\u70b9\u52a8\u6001\u662f\u6269\u6563<\/span>\uff08\u968f\u673a\u6e38\u8d70\uff09<\/span>\u7684\uff0c\u5b83\u8fd8\u662f\u88ab\u5e7f\u6cdb\u5e94\u7528\u4e8e\u5404\u4e2a\u9886\u57df\u4e4b\u4e2d\u3002\u540c\u65f6\uff0c\u73b0\u5b9e\u4e16\u754c\u4e2d\u7684\u7684\u590d\u6742\u7cfb\u7edf\u5177\u6709\u66f4\u4e30\u5bcc\u7684\u8282\u70b9\u52a8\u529b\u5b66\u3002\u5bf9\u4e8e\u4e00\u822c\u7684\u52a8\u6001\u7cfb\u7edf\uff0c\u5373\u4f7f\u6211\u4eec\u7ed9\u5b9a\u8282\u70b9\u5206\u7ec4\uff0c\u7c97\u7c92\u5316\u7b56\u7565\u4ecd\u7136\u9700\u8981\u8003\u8651\u5982\u4f55\u5c06\u7c07\u4e2d\u6240\u6709\u8282\u70b9\u7684\u5fae\u89c2\u72b6\u6001\u6620\u5c04\u5230\u7c07\u7684\u5b8f\u89c2\u72b6\u6001\uff0c\u4e5f\u9700\u8981\u5728\u5de8\u5927\u7684\u7c97\u7c92\u5316\u7b56\u7565\u51fd\u6570\u7a7a\u95f4\u4e0a\u8fdb\u884c\u7e41\u7410\u7684\u641c\u7d22\u3002\u8be6\u7ec6\u65b9\u6cd5\u8bf7\u53c2\u770b\uff1a\u590d\u6742\u7f51\u7edc\u4e2d\u7684\u56e0\u679c\u6d8c\u73b0<\/span><\/section>\n

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\u5f53\u6211\u4eec\u8003\u8651\u6240\u6709\u53ef\u80fd\u7684\u7c97\u7c92\u5316\u7b56\u7565\u65f6\uff0c\u53e6\u4e00\u4e2a\u96be\u70b9\u662f\u5982\u4f55\u907f\u514d\u5e73\u51e1\u7c97\u7c92\u5316\u7b56\u7565\u7684\u51fa\u73b0\uff0c\u5373\u7c97\u7c92\u5316\u7b56\u7565\u8fc7\u4e8e\u538b\u7f29\uff0c\u5bfc\u81f4\u65e0\u6548\u7684\u5b8f\u89c2\u52a8\u529b\u5b66\u3002\u4f8b\u5982\u4e00\u79cd\u53ef\u80fd\u7684\u7c97\u7c92\u5316\u7b56\u7565\u662f\u5c06\u6240\u6709\u5fae\u89c2\u72b6\u6001\u7684\u503c\u6620\u5c04\u5230\u4e00\u4e2a\u5e38\u6570\u503c\u7684\u5b8f\u89c2\u72b6\u6001\u3002\u8fd9\u6837\uff0c\u7cfb\u7edf\u7684\u5b8f\u89c2\u52a8\u529b\u5b66\u5c31\u53ea\u662f\u4e00\u4e2a\u6052\u7b49\u6620\u5c04\uff0c\u5b83\u5c06\u5177\u6709\u8f83\u5927\u7684\u6709\u6548\u4fe1\u606f<\/span> (EI) <\/span>\u5ea6\u91cf\u3002\u4f46\u8fd9\u79cd\u65b9\u6cd5\u4e0d\u80fd\u79f0\u4e3a\u56e0\u679c\u6d8c\u73b0\uff0c\u56e0\u4e3a\u6240\u6709\u4fe1\u606f\u90fd\u88ab\u7c97\u7c92\u5316\u65b9\u6cd5\u672c\u8eab\u62b9\u53bb\u4e86\u3002\u56e0\u6b64\uff0c\u6211\u4eec\u5fc5\u987b\u627e\u5230\u4e00\u79cd\u65b9\u6cd5\u6765\u6392\u9664\u8fd9\u79cd\u5e73\u51e1\u89e3\u3002\u8fd9\u4e9b\u56f0\u96be\u963b\u788d\u4e86\u57fa\u4e8e\u6709\u6548\u4fe1\u606f\u7684\u56e0\u679c\u6d8c\u73b0\u7406\u8bba\u7684\u53d1\u5c55\u548c\u5e94\u7528\u3002<\/span><\/section>\n

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\u53e6\u4e00\u79cd\u56e0\u679c\u6d8c\u73b0\u662f\u57fa\u4e8e\u4fe1\u606f\u5206\u89e3\u7684\u56e0\u679c\u6d8c\u73b0\u7406\u8bba\uff0c\u8be5\u7406\u8bba\u4e5f\u63d0\u4f9b\u4e86\u4e00\u79cd\u4ece\u6570\u636e\u4e2d\u8bc6\u522b\u56e0\u679c\u6d8c\u73b0\u7684\u65b9\u6cd5[3]\u3002\u867d\u7136\u8fd9\u79cd\u65b9\u6cd5\u53ef\u4ee5\u907f\u514d\u5bf9\u7c97\u7c92\u5316\u7b56\u7565\u7684\u8ba8\u8bba\uff0c\u4f46\u662f\u5982\u679c\u6211\u4eec\u60f3\u83b7\u5f97\u7cbe\u786e\u7684\u7ed3\u679c\uff0c\u4e5f\u9700\u8981\u5728\u7cfb\u7edf\u72b6\u6001\u7a7a\u95f4\u7684\u5404\u79cd\u53ef\u80fd\u7684\u5b50\u96c6\u4e0a\u8fdb\u884c\u641c\u7d22\uff0c\u8fd9\u5c06\u4f1a\u5728\u5927\u89c4\u6a21\u7684\u7cfb\u7edf\u4e0a\u906d\u9047\u6307\u6570\u7206\u70b8\u96be\u9898\u3002\u6b64\u5916\uff0cRosas\u63d0\u51fa\u7684\u6570\u503c\u8fd1\u4f3c\u65b9\u6cd5\u53ea\u80fd\u63d0\u4f9b\u56e0\u679c\u6d8c\u73b0\u7684\u5145\u5206\u6761\u4ef6\uff0c\u800c\u4e0d\u662f\u5fc5\u8981\u6761\u4ef6\u3002\u540c\u65f6\uff0c\u8be5\u65b9\u6cd5\u4f9d\u8d56\u4e8e\u7814\u7a76\u8005\u7ed9\u51fa\u660e\u786e\u7684\u7c97\u7c92\u5316\u7b56\u7565\u548c\u76f8\u5e94\u7684\u5b8f\u89c2\u52a8\u529b\u5b66\uff0c\u8fd9\u5728\u5b9e\u9645\u4e2d\u5f80\u5f80\u662f\u975e\u5e38\u56f0\u96be\u7684\u3002\u4e0a\u8ff0\u4e24\u79cd\u65b9\u6cd5\u7684\u53e6\u4e00\u4e2a\u5171\u540c\u7f3a\u70b9\u662f\u9700\u8981\u4e00\u4e2a\u660e\u786e\u7684\u5b8f\u89c2\u548c\u5fae\u89c2\u52a8\u529b\u5b66\u7684\u9a6c\u5c14\u53ef\u592b\u8f6c\u79fb\u77e9\u9635\u624d\u53ef\u4ee5\u4ece\u6570\u636e\u4e2d\u4f30\u8ba1\u8f6c\u79fb\u6982\u7387\u3002\u56e0\u6b64\uff0c\u4e0a\u8ff0\u65b9\u6cd5\u5bf9\u7f55\u89c1\u4e8b\u4ef6\u6982\u7387\u7684\u9884\u6d4b\u5c06\u4ea7\u751f\u51e0\u4e4e\u65e0\u6cd5\u907f\u514d\u7684\u3001\u8f83\u5927\u7684\u504f\u5dee\uff0c\u5c24\u5176\u5bf9\u4e8e\u8fde\u7eed\u6570\u636e\u3002<\/span><\/section>\n

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\u8fd1\u5e74\u6765\uff0c\u57fa\u4e8e\u795e\u7ecf\u7f51\u7edc\u7684\u673a\u5668\u5b66\u4e60\u65b9\u6cd5\u53d6\u5f97\u4e86\u8fdb\u5c55\uff0c\u5e76\u50ac\u751f\u4e86\u8bb8\u591a\u8de8\u5b66\u79d1\u5e94\u7528[4][5][6][7]\u3002\u501f\u52a9\u6b64\u65b9\u6cd5\uff0c\u4ee5\u6570\u636e\u9a71\u52a8\u7684\u65b9\u5f0f\u81ea\u4e3b\u53d1\u73b0\u590d\u6742\u7cfb\u7edf\u7684\u56e0\u679c\u5173\u7cfb\u751a\u81f3\u52a8\u529b\u5b66\u6210\u4e3a\u53ef\u80fd\u3002\u673a\u5668\u5b66\u4e60\u548c\u795e\u7ecf\u7f51\u7edc\u8fd8\u53ef\u4ee5\u5e2e\u52a9\u6211\u4eec\u627e\u5230\u66f4\u597d\u7684\u7c97\u7c92\u5316\u7b56\u7565\u3002\u5982\u679c\u5c06\u7c97\u7c92\u5316\u6620\u5c04\u89c6\u4e3a\u4ece\u5fae\u89c2\u72b6\u6001\u5230\u5b8f\u89c2\u72b6\u6001\u7684\u51fd\u6570\uff0c\u90a3\u4e48\u4eba\u4eec\u663e\u7136\u53ef\u4ee5\u7528\u53c2\u6570\u5316\u7684\u795e\u7ecf\u7f51\u7edc\u6765\u8fd1\u4f3c\u8fd9\u4e2a\u51fd\u6570\u3002\u8fd9\u4e9b\u6280\u672f\u4e5f\u80fd\u5e2e\u52a9\u6211\u4eec\u4ece\u6570\u636e\u4e2d\u53d1\u73b0\u5b8f\u89c2\u5c42\u9762\u7684\u56e0\u679c\u673a\u5236\u3002<\/span><\/section>\n


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1.2 \u6807\u51c6\u5316\u6d41\u6280\u672f<\/span><\/strong><\/span><\/h2>\n

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\u6807\u51c6\u5316\u6d41<\/span>\uff08Normalizing Flows\uff0cNF\uff09<\/span>\u662f\u4e00\u7c7b\u901a\u7528\u7684\u65b9\u6cd5\uff0c\u5b83\u901a\u8fc7\u6784\u9020\u4e00\u79cd\u53ef\u9006\u7684\u53d8\u6362\uff0c\u5c06\u4efb\u610f\u7684\u6570\u636e\u5206\u5e03<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mo><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>p<\/span><\/mi>x<\/span><\/sub><\/span><\/mi><\/msub>(<\/span><\/mo>x<\/span><\/mi><\/mrow>)<\/span><\/mo><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u53d8\u6362\u5230\u4e00\u4e2a\u7b80\u5355\u7684\u57fa\u7840\u5206\u5e03<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mo><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>p<\/span><\/mi>z<\/span><\/sub><\/span><\/mi><\/msub>(<\/span><\/mo>z<\/span><\/mi><\/mrow>)<\/span><\/mo><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\uff0c\u56e0\u4e3a\u53d8\u6362\u662f\u53ef\u9006\u7684\uff0c\u6240\u4ee5<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>x<\/span><\/mi><\/mrow><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u548c<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>z<\/span><\/mi><\/mrow><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u662f\u53ef\u4ee5\u4efb\u610f\u7b49\u4ef7\u53d8\u6362\u7684\u3002\u4e4b\u6240\u4ee5\u53ebNormalizing Flows\uff0c\u662f\u56e0\u4e3a\u5b83\u5305\u542b\u4e24\u4e2a\u6982\u5ff5\uff1a<\/span><\/section>\n

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 \u2022 \u6807\u51c6\u5316<\/span>\uff08normalize\uff09<\/span>\uff1a\u5b83\u53ef\u4ee5\u5c06\u4efb\u610f\u7684\u590d\u6742\u6570\u636e\u5206\u5e03\u6807\u51c6\u5316\u4e3a\u4e00\u4e2a\u7279\u5b9a\u7684\u5206\u5e03<\/span>\uff08\u4f8b\u5982\u6b63\u6001\u5206\u5e03\uff09<\/span>\uff0c\u7c7b\u4f3c\u4e8e\u6570\u636e\u9884\u5904\u7406\u4e2d\u5e38\u7528\u7684\u5bf9\u6570\u636e\u8fdb\u884c0\u5747\u503c1\u65b9\u5dee\u7684\u6807\u51c6\u5316\uff0c\u4f46\u662f\u66f4\u4e00\u822c\u7684\u6807\u51c6\u5316\u8981\u7cbe\u7ec6\u5f88\u591a\uff1b<\/span><\/section>\n

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 \u2022 \u6d41<\/span>\uff08Flows\uff09<\/span>\uff1a\u6570\u636e\u7684\u5206\u5e03\u53ef\u4ee5\u975e\u5e38\u7684\u590d\u6742\uff0c\u9700\u8981\u591a\u4e2a\u540c\u6837\u7684\u64cd\u4f5c\u7ec4\u5408\u6765\u8fbe\u5230\u6807\u51c6\u5316\u7684\u6548\u679c\uff0c\u8fd9\u4e2a\u7ec4\u5408\u7684\u8fc7\u7a0b\u79f0\u4e3a\u6d41\u3002<\/span><\/section>\n

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\u9700\u8981\u8bf4\u660e\u7684\u662f\uff0c\u56e0\u4e3a\u5206\u5e03\u95f4\u662f\u53ef\u4ee5\u76f8\u4e92\u53d8\u6362\u7684\uff0c\u56e0\u6b64\u5bf9\u57fa\u7840\u5206\u5e03\u6ca1\u6709\u7279\u5b9a\u7684\u9650\u5236\uff0c\u4e0d\u5931\u4e00\u822c\u6027\uff0c\u53ef\u4ee5\u4f7f\u7528\u6807\u51c6\u5206\u5e03<\/span>\uff08\u5355\u9ad8\u65af\uff09<\/span>\u5206\u5e03\u4f5c\u4e3a\u57fa\u7840\u5206\u5e03\u3002\u53e6\u5916\uff0c\u5728\u672c\u6587\u4e2d\uff0c\u6211\u4eec\u56de\u907f\u4f7f\u7528\u5148\u9a8c\u5206\u5e03<\/span>\uff08prior distribution\uff09<\/span>\u6765\u79f0\u547c\u8fd9\u4e2a\u57fa\u7840\u5206\u5e03\uff0c\u662f\u56e0\u4e3a\u8fd9\u91cc\u7684\u53d8\u91cf<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>z<\/span><\/mi><\/mrow><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u548c\u5176\u4ed6\u573a\u5408\u4e0b\u7684\u9690\u53d8\u91cf\u4e0d\u540c\uff0c\u5728\u6807\u51c6\u5316\u6d41\u6a21\u578b\u4e2d\uff0c\u4e00\u65e6<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>x<\/span><\/mi><\/mrow><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u786e\u5b9a\u4e86\uff0c<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>z<\/span><\/mi><\/mrow><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u4e5f\u968f\u4e4b\u786e\u5b9a\u4e0b\u6765\uff0c\u4e0d\u5b58\u5728\u968f\u673a\u6027\uff0c\u4e5f\u6ca1\u6709\u540e\u9a8c\u6982\u7387\u8fd9\u4e00\u8bf4\u6cd5\uff0c\u6240\u4ee5\u4e0d\u80fd\u79f0\u5176\u4e3a\u9690\u53d8\u91cf\u3002<\/span><\/section>\n

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\u738b\u78ca\u3001\u5c24\u4ea6\u5e84\u7b49\u7531\u6807\u51c6\u5316\u6d41\u6280\u672f\u63d0\u51fa\u4e86\u4f7f\u7528\u795e\u7ecf\u7f51\u7edc\u6765\u5bf9\u6570\u636e\u8fdb\u884c\u91cd\u6574\u5316\u7684\u6280\u672f\uff0c\u5e76\u63d0\u51fa\u4e86\u795e\u7ecf\u91cd\u6574\u5316\u7fa4\u7684\u6280\u672f\u65b9\u6848\uff0c\u5e76\u5c06\u5176\u5e94\u7528\u5230\u56fe\u50cf\u751f\u6210\u3001\u91cf\u5b50\u573a\u8bba\u548c\u5b87\u5b99\u5b66\u4e4b\u4e2d\u3002\u7ed9\u5b9a\u4e00\u7ec4\u56fe\u50cf\uff0c\u6216\u4e00\u4e2a\u573a\u8bba\u7684\u6a21\u62df\u6570\u636e\uff0c\u8bad\u7ec3\u4e00\u4e2a\u57fa\u4e8e\u6d41\u7684\u5206\u5c42\u6df1\u5ea6\u751f\u6210\u795e\u7ecf\u7f51\u7edc\u6a21\u578b\uff0c\u8fd9\u6837\uff0c\u795e\u7ecf\u7f51\u7edc\u5c31\u80fd\u5f00\u53d1\u51fa\u6700\u4f18\u7684\u91cd\u6574\u5316\u7fa4\u53d8\u6362\u3002\u6807\u51c6\u5316\u6d41\u6a21\u578b\u548cNIS\u5728\u67d0\u4e9b\u65b9\u9762\u5177\u6709\u76f8\u4f3c\u6027\u3002\u5b83\u4eec\u90fd\u81f4\u529b\u4e8e\u4f7f\u7528\u53ef\u9006\u795e\u7ecf\u7f51\u7edc<\/span>\uff08INN\uff09<\/span>\u5c06\u590d\u6742\u7684\u5fae\u89c2\u72b6\u6001<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>s<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u6620\u5c04\u5230\u66f4\u7b80\u5355\u7684\u5b8f\u89c2\u72b6\u6001<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>S<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\uff0c\u5373\u7c97\u7c92\u5316\u8fc7\u7a0b\u3002\u5728\u8fd9\u79cd\u7c97\u7c92\u5316\u4e4b\u540e\uff0c\u4e8c\u8005\u90fd\u8bd5\u56fe\u901a\u8fc7\u4f18\u5316\u67d0\u635f\u5931\u51fd\u6570<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>L<\/span><\/mi>(<\/span><\/mo>s<\/span><\/mi>,<\/span><\/mo>S<\/span><\/mi>)<\/span><\/mo><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\uff0c\u4ece\u800c\u63d0\u53d6\u51fa\u7cfb\u7edf\u4e2d\u91cd\u8981\u7684\u5b8f\u89c2\u72b6\u6001\u7279\u5f81\u3002\u8fd9\u79cd\u65b9\u6cd5\u53ef\u4ee5\u5e2e\u52a9\u7406\u89e3\u590d\u6742\u7cfb\u7edf\u4e2d\u7684\u6d8c\u73b0\u73b0\u8c61\uff0c\u5728\u6570\u636e\u5efa\u6a21\u548c\u5206\u6790\u4e2d\u6709\u8f83\u5927\u5e94\u7528\u6f5c\u529b\u3002<\/span><\/section>\n

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\u4f46\u662f\u4e0e\u6807\u51c6\u5316\u6d41\u4e0d\u540c\u7684\u662f\uff0cNIS\u8fd8\u9700\u8981\u5728\u5b8f\u89c2\u62df\u5408\u5b8f\u89c2\u52a8\u529b\u5b66\uff0c\u56e0\u6b64NIS\u8003\u8651\u7684\u662f\u4e00\u79cd\u52a8\u529b\u5b66\u8fc7\u7a0b\uff0c\u800c\u6807\u51c6\u5316\u6d41\u662f\u4e00\u79cd\u4e0d\u5305\u542b\u52a8\u529b\u5b66\u7684\u751f\u6210\u5f0f\u6a21\u578b\u3002<\/span><\/section>\n


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

1.3 \u53ef\u9006\u795e\u7ecf\u7f51\u7edc\u6280\u672f<\/span><\/strong><\/span><\/h2>\n

<\/span><\/section>\n
\u53ef\u9006\u795e\u7ecf\u7f51\u7edc<\/span>\uff08INNs\uff09<\/span>\u662f\u4e00\u79cd\u7279\u6b8a\u7684\u795e\u7ecf\u7f51\u7edc\uff0c\u5b83\u7684\u8bbe\u8ba1\u5141\u8bb8\u7f51\u7edc\u4ece\u8f93\u51fa\u7cbe\u786e\u5730\u91cd\u5efa\u8f93\u5165\u3002\u8fd9\u79cd\u53ef\u9006\u6027\u4f7f\u5176\u5728\u4e00\u4e9b\u4efb\u52a1\u4e2d\u975e\u5e38\u6709\u7528\uff0c\u4f8b\u5982\u65e0\u635f\u6570\u636e\u538b\u7f29\u3001\u751f\u6210\u6a21\u578b\u548c\u6982\u7387\u5bc6\u5ea6\u4f30\u8ba1\u3002INNs \u7684\u5173\u952e\u7279\u6027\u662f\u7f51\u7edc\u7684\u6bcf\u4e2a\u8f6c\u6362\u90fd\u53ef\u4ee5\u7cbe\u786e\u53cd\u5411\uff0c\u56e0\u6b64\uff0c\u53ef\u4ee5\u901a\u8fc7\u8f93\u51fa\u63a8\u5bfc\u51fa\u5bf9\u5e94\u7684\u8f93\u5165\u3002<\/span><\/section>\n

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\u53ef\u9006\u795e\u7ecf\u7f51\u7edc\u4e0e\u4f20\u7edf\u7684\u795e\u7ecf\u7f51\u7edc\u4e0d\u540c\uff0c\u4f20\u7edf\u795e\u7ecf\u7f51\u7edc\u901a\u5e38\u662f\u4e0d\u53ef\u9006\u7684\uff0c\u5373\u8f93\u5165\u7ecf\u8fc7\u4e00\u7cfb\u5217\u590d\u6742\u7684\u975e\u7ebf\u6027\u53d8\u6362\u540e\uff0c\u65e0\u6cd5\u901a\u8fc7\u7b80\u5355\u7684\u53cd\u5411\u64cd\u4f5c\u6062\u590d\u521d\u59cb\u8f93\u5165\u3002\u800c\u53ef\u9006\u795e\u7ecf\u7f51\u7edc\u901a\u8fc7\u7279\u6b8a\u7684\u7ed3\u6784\u8bbe\u8ba1\uff0c\u4fdd\u8bc1\u4e86\u6bcf\u4e2a\u53d8\u6362\u90fd\u662f\u53cc\u5411\u7684\u3002\u4f8b\u5982\uff0cReal NVP<\/span>\uff08\u975e\u7ebf\u6027\u5377\u79ef\u5c42\u53e0\u7f51\u7edc\uff09<\/span>\u548c\u57fa\u4e8e\u8026\u5408\u5c42\u7684\u53ef\u9006\u6a21\u578b\u662f\u76ee\u524d\u5e94\u7528\u8f83\u4e3a\u5e7f\u6cdb\u7684\u53ef\u9006\u795e\u7ecf\u7f51\u7edc\u7ed3\u6784\u3002Real NVP \u901a\u8fc7\u5c06\u8f93\u5165\u5206\u4e3a\u4e24\u90e8\u5206\uff0c\u4f7f\u7528\u4e00\u90e8\u5206\u8f93\u5165\u6765\u8c03\u6574\u53e6\u4e00\u90e8\u5206\uff0c\u4ece\u800c\u4fdd\u8bc1\u7f51\u7edc\u6574\u4f53\u7684\u53ef\u9006\u6027\u3002<\/span><\/section>\n

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\u5728\u5b9e\u9645\u5e94\u7528\u4e2d\uff0c\u53ef\u9006\u795e\u7ecf\u7f51\u7edc\u88ab\u5e7f\u6cdb\u7528\u4e8e\u751f\u6210\u5bf9\u6297\u7f51\u7edc<\/span>\uff08GANs\uff09<\/span>\u3001\u56fe\u50cf\u751f\u6210\u4ee5\u53ca\u5f3a\u5316\u5b66\u4e60\u7b49\u9886\u57df\u3002\u5b83\u4eec\u7684\u53ef\u9006\u6027\u4e0d\u4ec5\u964d\u4f4e\u4e86\u8ba1\u7b97\u590d\u6742\u5ea6\uff0c\u8fd8\u63d0\u9ad8\u4e86\u6a21\u578b\u7684\u53ef\u89e3\u91ca\u6027\uff0c\u56e0\u4e3a\u5b83\u53ef\u4ee5\u7cbe\u786e\u5730\u8ffd\u8e2a\u8f93\u5165\u5982\u4f55\u5f71\u54cd\u8f93\u51fa\u3002<\/span><\/section>\n

<\/span><\/section>\n
\u5c3d\u7ba1\u53ef\u9006\u795e\u7ecf\u7f51\u7edc\u6709\u8bb8\u591a\u4f18\u52bf\uff0c\u5b83\u4eec\u7684\u8bbe\u8ba1\u548c\u8bad\u7ec3\u8fc7\u7a0b\u4ecd\u7136\u9762\u4e34\u6311\u6218\uff0c\u5982\u7f51\u7edc\u7ed3\u6784\u7684\u590d\u6742\u6027\u548c\u8bad\u7ec3\u7a33\u5b9a\u6027\u7b49\u95ee\u9898\u3002\u7136\u800c\uff0c\u968f\u7740\u7814\u7a76\u7684\u6df1\u5165\uff0c\u53ef\u9006\u795e\u7ecf\u7f51\u7edc\u6b63\u9010\u6b65\u6210\u4e3a\u89e3\u51b3\u9ad8\u7ef4\u6570\u636e\u5904\u7406\u548c\u6982\u7387\u5bc6\u5ea6\u4f30\u8ba1\u95ee\u9898\u7684\u5f3a\u5927\u5de5\u5177\u3002<\/span><\/section>\n

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1.4 \u6700\u5927\u5316EI<\/span><\/strong><\/span><\/h2>\n

<\/span><\/section>\n
2013\u5e74\uff0cErik Hoel\u548c\u4ed6\u7684\u56e2\u961f\u9996\u6b21\u63d0\u51fa\u4e86\u56e0\u679c\u6d8c\u73b0\u7406\u8bba[8]\uff0c\u4f7f\u7528\u6709\u6548\u4fe1\u606f<\/span>\uff08Effective Information, EI\uff09<\/span>\u6765\u91cf\u5316\u79bb\u6563\u9a6c\u5c14\u79d1\u592b\u52a8\u529b\u5b66\u7cfb\u7edf\u7684\u56e0\u679c\u6d8c\u73b0\u3002\u5728\u6587\u732e[8]\u4e2d\uff0c\u4f5c\u8005\u5728\u5e03\u5c14\u7f51\u7edc\u5b9e\u4f8b\u4e0a\uff0c\u901a\u8fc7\u5bf9\u5176\u8fdb\u884c\u7a7a\u95f4\u3001\u65f6\u95f4\u4ee5\u53ca\u65f6\u7a7a\u7c97\u7c92\u5316\u90fd\u9a8c\u8bc1\u4e86\u56e0\u679c\u6d8c\u73b0\u7684\u53d1\u751f\uff0c\u5373\u201c\u5b8f\u89c2\u6253\u8d25\u5fae\u89c2\u201d\u3002<\/span><\/section>\n

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\u8fd9\u91cc\u9700\u8981\u5f3a\u8c03\u7684\u662f\u8bba\u6587\u4e2d\u6307\u51fa\u627e\u5230\u7684\u5b8f\u89c2\u52a8\u529b\u5b66\u90fd\u662f\u5bf9\u5e94\u6709\u6548\u4fe1\u606f\u6700\u5927\u7684\u7c97\u7c92\u5316\u65b9\u6848\u3002\u7136\u800c\u8be5\u8bba\u6587\u6ca1\u6709\u7ed9\u51fa\u5982\u4f55\u627e\u5230\u6709\u6548\u4fe1\u606f\u6700\u5927\u5316\u7684\u7c97\u7c92\u5316\u65b9\u6cd5\u3002NIS\u6846\u67b6\u7684\u63d0\u51fa\u5c31\u662f\u4e3a\u4e86\u5c1d\u8bd5\u89e3\u51b3\u5982\u4f55\u6700\u5927\u5316\u6709\u6548\u4fe1\u606f\u8fd9\u4e00\u8fc7\u7a0b\uff0c\u4ece\u800c\u8bc6\u522b\u51fa\u7cfb\u7edf\u4e2d\u80fd\u5426\u53d1\u751f\u56e0\u679c\u6d8c\u73b0\u7684\u3002<\/span><\/section>\n

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2. \u7b80\u4ecb<\/strong><\/span><\/strong><\/strong><\/p>\n<\/section>\n

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


<\/p>\n

NIS\u662f\u4e00\u79cd\u5c06\u590d\u6742\u7cfb\u7edf\u6570\u636e\u9a71\u52a8\u5efa\u6a21\u548c\u56e0\u679c\u6d8c\u73b0\u4e24\u79cd\u4efb\u52a1\u96c6\u4e8e\u4e00\u4f53\u7684\u6570\u5b66\u4f18\u5316\u6846\u67b6\u4ee5\u53ca\u795e\u7ecf\u7f51\u7edc\u6846\u67b6[9]\u3002NIS\u9762\u5bf9\u7684\u95ee\u9898\u662f\uff0c\u7ed9\u5b9a\u4e00\u7ec4\u590d\u6742\u7cfb\u7edf\u8fd0\u884c\u8868\u73b0\u7684\u65f6\u95f4\u5e8f\u5217\u6570\u636e<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-math>x<\/span><\/mi><\/mrow>t<\/span><\/sub><\/mi><\/msub><\/mjx-assistive-mml><\/mjx-container>\uff0c\u4f8b\u5982\u4e00\u7ec4fMRI\u7684\u65f6\u95f4\u5e8f\u5217\u6570\u636e\uff0c\u6216\u8005\u4e00\u7ec4\u9e1f\u7fa4\u7684\u98de\u884c\u8f68\u8ff9\uff0c\u6216\u8005\u4e00\u7ec4\u7531\u751f\u547d\u6e38\u620f\u5143\u80de\u81ea\u52a8\u673a\u751f\u6210\u7684\u56fe\u7247\u5e8f\u5217\uff0c\u6211\u4eec\u9700\u8981\u627e\u5230\u5b83\u7684\u5fae\u89c2\u52a8\u529b\u5b66\u3001\u5b8f\u89c2\u52a8\u529b\u5b66\uff0c\u4ee5\u53ca\u5982\u4f55\u4ece\u5fae\u89c2\u52a8\u529b\u5b66\u6620\u5c04\u4e3a\u5b8f\u89c2\u52a8\u529b\u5b66\u7684\u7c97\u7c92\u5316\u7b56\u7565\uff0c\u5e76\u6700\u7ec8\u5224\u65ad\u51fa\u8be5\u7ec4\u6570\u636e\u6240\u53cd\u6620\u7684\u771f\u5b9e\u590d\u6742\u7cfb\u7edf\u662f\u5426\u53d1\u751f\u4e86\u56e0\u679c\u6d8c\u73b0\u3002<\/span><\/section>\n


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2.1 \u6570\u5b66\u5b9a\u4e49<\/span><\/strong><\/span><\/h2>\n

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NIS\u5b9a\u4e49\u4e86\u4e00\u4e2a\u6cdb\u51fd\u4f18\u5316\u95ee\u9898\uff0c\u5373\u901a\u8fc7\u5bfb\u627e\u4e00\u7ec4\u51fd\u6570\uff0c\u4f7f\u5f97\u5b8f\u89c2\u52a8\u529b\u5b66\u7684\u6709\u6548\u4fe1\u606f\u80fd\u591f\u88ab\u6700\u5927\u5316\uff0c\u4ece\u800c\u5b9e\u73b0\u4e0a\u8ff0\u95ee\u9898\u7684\u89e3\u51b3\u3002\u8fd9\u4e00\u95ee\u9898\u53ef\u4ee5\u8868\u8ff0\u4e3a\uff1a<\/span><\/section>\n

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

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

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\u5176\u4e2d<\/span><\/sub><\/span><\/mi><\/mrow><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u662f\u7ef4\u5ea6\u5e73\u5747\u6709\u6548\u4fe1\u606f\u7684\u5ea6\u91cf<\/span>\uff08\u53c2\u8003\u6709\u6548\u4fe1\u606f\uff09<\/span>\uff1b<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>\u03d5<\/span><\/mi>q<\/span><\/sub><\/mi><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u662f\u4e00\u79cd\u6709\u6548\u7684\u7c97\u7c92\u5316\u7b56\u7565\uff0c\u5b83\u53ef\u4ee5\u628a\u4efb\u610f\u7684\u5fae\u89c2\u6001<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-math>x<\/span><\/mi><\/mrow>t<\/span><\/sub><\/mi><\/msub><\/mjx-assistive-mml><\/mjx-container>\u6620\u5c04\u5230\u5b8f\u89c2\u6001<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-math>y<\/span><\/mi><\/mrow>t<\/span><\/sub><\/mi><\/msub><\/mjx-assistive-mml><\/mjx-container>\uff1b<\/span><\/sub><\/span><\/mi><\/msub><\/mrow><\/msub><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u662f\u4e00\u79cd\u6709\u6548\u7684\u5b8f\u89c2\u52a8\u529b\u5b66\uff0c\u5176\u4e2dq\u662f\u5b8f\u89c2\u6001\u7684\u7ef4\u5ea6\uff0c\u662f\u4e00\u4e2a\u8d85\u53c2\uff1b<\/span><\/sub><\/mo><\/mrow><\/msubsup><\/mjx-assistive-mml><\/mjx-container>\u662f\u53cd\u7c97\u7c92\u5316\u51fd\u6570\uff0c\u5b83\u7684\u4f5c\u7528\u548c<\/span><\/mjx-c><\/mjx-mi><\/mjx-math>\u03d5<\/span><\/mi><\/mjx-assistive-mml><\/mjx-container>\u76f8\u53cd\uff0c\u53ef\u4ee5\u628a\u5b8f\u89c2\u6001<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-math>y<\/span><\/mi><\/mrow>t<\/span><\/sub><\/mi><\/msub><\/mjx-assistive-mml><\/mjx-container>\u6620\u5c04\u5230\u5fae\u89c2\u6001<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-math>x<\/span><\/mi><\/mrow>t<\/span><\/sub><\/mi><\/msub><\/mjx-assistive-mml><\/mjx-container>\u3002<\/span><\/section>\n

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\u8fd9\u91cc\u6240\u8c13\u7684\u6709\u6548\u7684\u7c97\u7c92\u5316\u7b56\u7565\u3001\u5b8f\u89c2\u52a8\u529b\u5b66\u7684\u542b\u4e49\u662f\u6307\u80fd\u591f\u6ee1\u8db3\u5982\u4e0b\u7ea6\u675f\u6761\u4ef6\uff1a<\/span><\/section>\n

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\u5176\u4e2d\uff0c<\/span><\/mjx-c><\/mjx-mi><\/mjx-math>\u03f5<\/span><\/mi><\/mjx-assistive-mml><\/mjx-container>\u4e3a\u4e00\u4e2a\u5f88\u5c0f\u7684\u6570\u4f5c\u4e3a\u8d85\u53c2\u3002\u8fd9\u6837\uff0cNIS\u7684\u6570\u5b66\u6846\u67b6\u9700\u8981\u5728\u6240\u6709\u53ef\u80fd\u7684\u6709\u6548\u7c97\u7c92\u5316\u7b56\u7565\u548c\u5b8f\u89c2\u52a8\u529b\u5b66\u4e2d\u4f18\u5316\u6709\u6548\u4fe1\u606f\u3002<\/span><\/section>\n

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\u8be5\u5b9a\u4e49\u4e0e\u8fd1\u4f3c\u56e0\u679c\u6a21\u578b\u7684\u62bd\u8c61[8]\u5b58\u5728\u8bb8\u591a\u76f8\u4f3c\u4e4b\u5904\u3002<\/span><\/section>\n


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2.2 \u795e\u7ecf\u7f51\u7edc\u6846\u67b6<\/span><\/strong><\/span><\/h2>\n

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\u4e3a\u4e86\u89e3\u51b3\u4e0a\u8ff0\u4f18\u5316\u95ee\u9898\uff0cNIS\u63d0\u51fa\u4e86\u4e00\u79cd\u795e\u7ecf\u7f51\u7edc\u67b6\u6784\uff0c\u4ece\u800c\u53ef\u4ee5\u8fdb\u884c\u6570\u503c\u6c42\u89e3\uff0c\u8be5\u7f51\u7edc\u67b6\u6784\u7684\u793a\u610f\u56fe\u5982\u4e0b\u6240\u793a\uff1a<\/span><\/section>\n

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\u4f5c\u4e3a\u795e\u7ecf\u7f51\u7edc\u6846\u67b6\uff0cNIS\u672c\u8d28\u4e0a\u662f\u4e00\u4e2a\u9690\u7a7a\u95f4\u52a8\u529b\u5b66\u5b66\u4e60\u6846\u67b6\u3002\u5176\u4e2d\u5305\u62ec\u7f16\u7801\u5668\u3001\u52a8\u529b\u5b66\u5b66\u4e60\u5668\u4e0e\u89e3\u7801\u5668\uff0c\u53ef\u4ee5\u7531\u5fae\u89c2\u72b6\u6001\u7684\u65f6\u95f4\u5e8f\u5217\u8f93\u5165\u3001\u7ecf\u8bad\u7ec3\u540e\u8f93\u51fa\u5982\u4e0b\u56db\u4e2a\u90e8\u5206\uff1a<\/span><\/p>\n

 \u2022 \u5c3a\u5ea6M\u4e0b\u7684\u7c97\u7c92\u5316\u7b56\u7565<\/span>\uff08\u7531\u53ef\u9006\u795e\u7ecf\u7f51\u7edcINN\u8868\u793a\uff09<\/span>\uff1b<\/span><\/p>\n

 \u2022 \u5c3a\u5ea6M\u4e0b\u7684\u5b8f\u89c2\u52a8\u529b\u5b66<\/span>\uff08\u7531\u52a8\u529b\u5b66\u5b66\u4e60\u5668\u5f97\u51fa\uff09<\/span>\uff1b<\/span><\/p>\n

 \u2022 \u6700\u4f18\u5efa\u6a21\u5c3a\u5ea6q<\/span>\uff08\u7531\u904d\u5386\u5f97\u51fa\u6700\u4f18\u7ef4\u6570\uff09<\/span>\uff1b<\/span><\/p>\n

 \u2022 \u5224\u65ad\uff1a\u662f\u5426\u5b58\u5728\u56e0\u679c\u6d8c\u73b0<\/span>\uff08\u5f53\u6700\u4f18\u5c3a\u5ea6\u4e0b\u7684\u6709\u6548\u4fe1\u606f<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-texatom><\/mjx-script><\/mjx-msub><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>E<\/span><\/mi>I<\/span><\/mi>M<\/span><\/sub><\/mi>\u2217<\/span><\/sub><\/mo><\/mrow><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u5927\u4e8e\u6700\u5fae\u89c2\u5c3a\u5ea6\u4e0b\u7684\u6709\u6548\u4fe1\u606f<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>E<\/span><\/mi>I<\/span><\/mi>m<\/span><\/sub><\/mi><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u65f6\u5224\u65ad\u5b58\u5728\u56e0\u679c\u6d8c\u73b0\uff09<\/span>\u3002<\/span><\/section>\n

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\u5728NIS\u4e2d\uff0c\u89e3\u7801\u5668\u548c\u7f16\u7801\u5668\u90fd\u4f7f\u7528\u4e86\u53ef\u9006\u795e\u7ecf\u7f51\u7edc\uff0c\u8fd9\u6837\u505a\u7684\u597d\u5904\u662f\uff0c\u5176\u89e3\u7801\u5668\u53ef\u7531\u7f16\u7801\u5668\u9006\u8f6c\u5f97\u5230\uff0c\u4e14\u53ef\u4ee5\u81ea\u4e0a\u800c\u4e0b\u5730\u4ece\u89e3\u7801\u5668\u914d\u5408\u968f\u673a\u91c7\u6837\u7684\u6570\u636e\u751f\u6210\u5fae\u89c2\u6001\u7ec6\u8282\uff0c\u5c5e\u4e8e\u751f\u6210\u6a21\u578b\u7684\u4e00\u79cd\u3002<\/span><\/section>\n

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3. \u6570\u5b66\u63cf\u8ff0<\/strong><\/span><\/strong><\/strong><\/p>\n<\/section>\n

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


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\u63a5\u4e0b\u6765\uff0c\u6211\u4eec\u5c06\u901a\u8fc7\u6570\u5b66\u5b9a\u4e49\uff0c\u8be6\u7ec6\u63cf\u8ff0NIS\u6846\u67b6\u7684\u57fa\u672c\u6982\u5ff5\u548c\u4f18\u5316\u95ee\u9898\u3002<\/span><\/section>\n


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

3.1 \u57fa\u672c\u6982\u5ff5<\/span><\/strong><\/span><\/h2>\n

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3.1.1 \u5fae\u89c2\u52a8\u529b\u5b66<\/span><\/strong><\/h3>\n

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\u5047\u8bbe\u8ba8\u8bba\u7684\u590d\u6742\u7cfb\u7edf\u52a8\u529b\u5b66\u53ef\u7531\u5982\u4e0b\u5fae\u5206\u65b9\u7a0b\u7ec4\u63cf\u8ff0\uff1a<\/span><\/section>\n

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 \uff081\uff09<\/span><\/section>\n

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\u5176\u4e2d<\/span><\/sub><\/mi><\/msup><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u662f\u7cfb\u7edf\u7684\u5fae\u89c2\u72b6\u6001\uff0c<\/span><\/sub>\u662f\u4e00\u6b63\u6574\u6570\uff0c\u8868\u793a\u5fae\u89c2\u6001\u7684\u7ef4\u5ea6\uff0c<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>\u03be<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> \u662f\u4e00\u968f\u673a\u566a\u58f0\uff0c\u901a\u5e38\u6ee1\u8db3\u9ad8\u65af\u5206\u5e03\u3002<\/span><\/section>\n

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\u4e0d\u5931\u4e00\u822c\u6027\uff0c\u5fae\u89c2\u52a8\u529b\u5b66 <\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>g<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> \u603b\u662f\u9a6c\u5c14\u53ef\u592b\u7684\uff0c\u53ef\u4ee5\u7b49\u6548\u5730\u5efa\u6a21\u4e3a\u6761\u4ef6\u6982\u7387 <\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mo><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mo><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>P<\/span><\/mi>r<\/span><\/mi>(<\/span><\/mo>x<\/span><\/mi><\/mrow>(<\/span><\/mo>t<\/span><\/mi>+<\/span><\/mo>d<\/span><\/mi>t<\/span><\/mi>)<\/span><\/mo>|<\/span><\/mo><\/mrow>x<\/span><\/mi><\/mrow>(<\/span><\/mo>t<\/span><\/mi>)<\/span><\/mo>)<\/span><\/mo><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> \u3002<\/span><\/section>\n


<\/span><\/h3>\n

3.1.2 \u5fae\u89c2\u6001<\/span><\/strong><\/h3>\n

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\u52a8\u529b\u7cfb\u7edf\u72b6\u6001\uff08\u5f0f1\uff09<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>x<\/span><\/mi><\/mrow>t<\/span><\/sub><\/mi><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> \u7684\u6bcf\u4e00\u4e2a\u6837\u672c\u79f0\u4e3a\u65f6\u95f4\u6b65 <\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>t<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> \u7684\u4e00\u4e2a\u5fae\u89c2\u72b6\u6001\u3002\u4ee5\u76f8\u7b49\u95f4\u9694\u548c\u6709\u9650\u65f6\u95f4\u6b65\u957f T \u91c7\u6837\u7684\u591a\u53d8\u91cf\u65f6\u95f4\u5e8f\u5217<\/span>x<\/span><\/mi><\/mrow>1<\/span><\/sub><\/mn><\/msub>\uff0c<\/span><\/mi>x<\/span><\/mi><\/mrow>2<\/span><\/sub><\/mn><\/msub>\uff0c<\/span><\/mi>\u00b7<\/span><\/mo>\u00b7<\/span><\/mo>\u00b7<\/span><\/mo>\uff0c<\/span><\/mi>x<\/span><\/mi><\/mrow>T<\/span><\/sub><\/mi><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> \u53ef\u5f62\u6210\u5fae\u89c2\u72b6\u6001\u65f6\u95f4\u5e8f\u5217\u3002<\/span><\/section>\n

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\u5982\u679c\u6211\u4eec\u9700\u8981\u4ee5\u6570\u636e\u9a71\u52a8\u7684\u65b9\u5f0f\u91cd\u6784\u5fae\u89c2\u52a8\u529b\u5b66<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>g<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\uff0c\u5219\u9700\u8981\u5927\u91cf\u53ef\u89c2\u6d4b\u7684\u5fae\u89c2\u72b6\u6001\u65f6\u95f4\u5e8f\u5217<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-math>x<\/span><\/mi><\/mrow>t<\/span><\/sub><\/mi><\/msub><\/mjx-assistive-mml><\/mjx-container>\uff0c\u4f46\u5728\u566a\u58f0\u8f83\u5f3a\u65f6\uff0c\u6211\u4eec\u5f88\u96be\u4ece\u5fae\u89c2\u72b6\u6001\u4e2d\u91cd\u5efa\u5177\u6709\u5f3a\u56e0\u679c\u7279\u6027\u7684\u4fe1\u606f\u4e30\u5bcc\u7684\u52a8\u529b\u5b66\u3002\u56e0\u679c\u6d8c\u73b0\u7684\u57fa\u672c\u601d\u60f3\u662f\uff0c\u82e5\u5ffd\u7565\u5fae\u89c2\u72b6\u6001\u6570\u636e\u4e2d\u7684\u90e8\u5206\u4fe1\u606f\u5e76\u5c06\u5176\u8f6c\u6362\u4e3a\u5b8f\u89c2\u72b6\u6001\u65f6\u95f4\u5e8f\u5217\uff0c\u5219\u53ef\u4ee5\u91cd\u5efa\u4e00\u4e2a\u5177\u6709\u66f4\u5f3a\u56e0\u679c\u6548\u5e94\u7684\u80fd\u63cf\u8ff0\u7cfb\u7edf\u6f14\u5316\u7684\u5b8f\u89c2\u52a8\u529b\u5b66\u3002<\/span><\/section>\n

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<\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>3.1.3 q<\/span><\/strong><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> \u7ef4\u7c97\u7c92\u5316\u7b56\u7565<\/span><\/strong><\/h3>\n

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\u4ece\u5fae\u89c2\u6001\u5230\u5b8f\u89c2\u6001\u7684\u4fe1\u606f\u8f6c\u5316\u8fc7\u7a0b\u5373\u4e3a\u7c97\u7c92\u5316\u7b56\u7565<\/span>\uff08\u6216\u6620\u5c04\u65b9\u6cd5\uff09<\/span>\u3002\u5728\u5b8f\u89c2\u72b6\u6001\u7684\u7ef4\u6570\u4e3a <\/span><\/mjx-c><\/mjx-mn><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mo><\/mjx-script><\/mjx-msup><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>0<\/span><\/mn><<\/span><\/mo>q<\/span><\/mi><<\/span><\/mo>p<\/span><\/mi>\u2208<\/span><\/mo>Z<\/span><\/mi><\/mrow>+<\/span><\/sup><\/mo><\/msup><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> \u7684\u60c5\u51b5\u4e0b\uff0c<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>q<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> \u7ef4\u7c97\u7c92\u5316\u7b56\u7565\u662f\u4e00\u4e2a\u8fde\u7eed\u53ef\u5fae\u51fd\u6570\uff0c\u7528\u4e8e\u5c06\u5fae\u89c2\u72b6\u6001 <\/sub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> \u6620\u5c04\u5230\u5b8f\u89c2\u72b6\u6001<\/span><\/sub>\u3002\u8be5\u7c97\u7c92\u5316\u53ef\u4ee5\u8868\u793a\u4e3a <\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>\u03d5<\/span><\/mi>q<\/span><\/sub><\/mi><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u3002<\/span><\/section>\n

<\/span><\/section>\n
\u590d\u6742\u7cfb\u7edf\u7ecf\u8fc7\u7c97\u7c92\u5316\u5f97\u5230\u4e00\u4e2a\u65b0\u7684\u5b8f\u89c2\u72b6\u6001\u65f6\u95f4\u5e8f\u5217\u6570\u636e\uff0c\u8868\u793a\u4e3a <\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mn><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>y<\/span><\/mi><\/mrow>1<\/span><\/sub><\/mn><\/msub>=<\/span><\/mo>\u03d5<\/span><\/mi>q<\/span><\/sub><\/mi><\/msub>(<\/span><\/mo>x<\/span><\/mi><\/mrow>1<\/span><\/sub><\/mn><\/msub>)<\/span><\/mo>,<\/span><\/mo>y<\/span><\/mi><\/mrow>2<\/span><\/sub><\/mn><\/msub>=<\/span><\/mo>\u03d5<\/span><\/mi>q<\/span><\/sub><\/mi><\/msub>(<\/span><\/mo>x<\/span><\/mi><\/mrow>2<\/span><\/sub><\/mn><\/msub>)<\/span><\/mo>,<\/span><\/mo>\u00b7<\/span><\/mo>\u00b7<\/span><\/mo>\u00b7<\/span><\/mo>,<\/span><\/mo>y<\/span><\/mi><\/mrow>T<\/span><\/sub><\/mi><\/msub>=<\/span><\/mo>\u03d5<\/span><\/mi>q<\/span><\/sub><\/mi><\/msub>(<\/span><\/mo>x<\/span><\/mi><\/mrow>T<\/span><\/sub><\/mi><\/msub>)<\/span><\/mo><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> \u3002<\/span><\/section>\n


<\/span><\/h3>\n

3.1.4 \u5b8f\u89c2\u52a8\u529b\u5b66<\/span><\/strong><\/h3>\n

<\/span><\/section>\n
\u63a5\u7740\uff0c\u6211\u4eec\u9700\u8981\u5bfb\u627e\u53e6\u4e00\u4e2a\u52a8\u529b\u5b66\u6a21\u578b<\/span>\uff08\u6216\u9a6c\u5c14\u53ef\u592b\u94fe\uff09<\/span><\/sub>\u6765\u63cf\u8ff0\u5b8f\u89c2\u72b6\u6001 <\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>yt<\/sub><\/span><\/mi><\/mrow><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> \u7684\u6f14\u53d8\uff0c\u5373\u5b8f\u89c2\u52a8\u529b\u5b66\u3002\u5bf9\u4e8e\u7ed9\u5b9a\u7684\u5b8f\u89c2\u72b6\u6001\u65f6\u95f4\u5e8f\u5217 <\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mn><\/mjx-script><\/mjx-msub>\uff0c<\/span><\/mjx-utext><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mn><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>y1<\/sub><\/span><\/mi><\/mrow><\/msub>\uff0c<\/span><\/mi>y2<\/sub><\/span><\/mi><\/mrow><\/msub>,<\/span><\/mo>\u00b7<\/span><\/mo>\u00b7<\/span><\/mo>\u00b7<\/span><\/mo>,<\/span><\/mo>yT<\/sub><\/span><\/mi><\/mrow><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> \uff0c\u5b8f\u89c2\u72b6\u6001\u52a8\u529b\u5b66\u662f\u4e00\u7ec4\u5fae\u5206\u65b9\u7a0b\uff1a<\/span><\/section>\n

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

 \uff082\uff09<\/span><\/p>\n


<\/section>\n
\u5176\u4e2d<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msup><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>y<\/span><\/mi><\/mrow>\u2208<\/span><\/mo>R<\/span><\/mi><\/mrow>q<\/span><\/sup><\/mi><\/msup><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u4e3a\u5b8f\u89c2\u6001, <\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-script><\/mjx-msup><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msup><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>\u03be<\/span><\/mi>\u2032<\/span><\/mo><\/msup>\u2208<\/span><\/mo>R<\/span><\/mi><\/mrow>q<\/span><\/sup><\/mi><\/msup><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> \u662f\u5b8f\u89c2\u72b6\u6001\u52a8\u529b\u5b66\u4e2d\u7684\u566a\u58f0\uff0c<\/sub>\u662f\u8fde\u7eed\u53ef\u5fae\u51fd\u6570\uff0c\u53ef\u901a\u8fc7\u6700\u5c0f\u5316\u65b9\u7a0b2\u5728\u4efb\u4f55\u7ed9\u5b9a\u7684\u65f6\u95f4\u6b65\u957f <\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mn><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>t<\/span><\/mi>\u2208<\/span><\/mo>[<\/span><\/mo>1<\/span><\/mn>,<\/span><\/mo>T<\/span><\/mi>]<\/span><\/mo><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> \u548c\u7ed9\u5b9a\u7684\u5411\u91cf\u8303\u6570<\/span><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mo><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>\u2016<\/span><\/mo>\u22c5<\/span><\/mo>\u2016<\/span><\/mo><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> \u4e0b\u7684\u89e3\u6765\u5f97\u5230\uff1a<\/span><\/section>\n
       y(t):<\/span><\/section>\n
\uff083\uff09<\/span><\/section>\n

<\/span><\/section>\n
\u6b64\u6846\u67b6\u4e0d\u80fd\u6392\u9664\u4e00\u4e9b\u5e73\u51e1\u89e3\u3002\u4f8b\u5982\uff0c\u5047\u8bbe\u5bf9\u4e8e <\/span><\/mjx-c><\/mjx-mo><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msup><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>\u2200<\/span><\/mo><\/mrow>y<\/span><\/mi><\/mrow>t<\/span><\/sub><\/mi><\/msub>\u2208<\/span><\/mo>R<\/span><\/mi><\/mrow>p<\/span><\/sup><\/mi><\/msup><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> , <\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mn><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>q<\/span><\/mi>=<\/span><\/mo>1<\/span><\/mn><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> \u7ef4\u7684 <\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>\u03d5<\/span><\/mi>q<\/span><\/sub><\/mi><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> \u5b9a\u4e49\u4e3a <\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mn><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>\u03d5<\/span><\/mi>q<\/span><\/sub><\/mi><\/msub>(<\/span><\/mo>x<\/span><\/mi><\/mrow>t<\/span><\/sub><\/mi><\/msub>)<\/span><\/mo>=<\/span><\/mo>1<\/span><\/mn><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> \u3002\u56e0\u6b64\uff0c\u76f8\u5e94\u7684\u5b8f\u89c2\u52a8\u529b\u5b66\u53ea\u662f <\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mo><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mn><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>d<\/span><\/mi>y<\/span><\/mi><\/mrow>\/<\/span><\/mo><\/mrow>d<\/span><\/mi>t<\/span><\/mi>=<\/span><\/mo>0<\/span><\/mn><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> \u548c <\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mn><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mn><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>y<\/span><\/mi><\/mrow>(<\/span><\/mo>0<\/span><\/mn>)<\/span><\/mo>=<\/span><\/mo>1<\/span><\/mn><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u3002\u7531\u4e8e\u5b8f\u89c2\u72b6\u6001\u52a8\u529b\u5b66\u662f\u5e73\u51e1\u7684\uff0c\u7c97\u7c92\u5316\u6620\u5c04\u8fc7\u4e8e\u968f\u610f\uff0c\u6b64\u65b9\u7a0b\u65e0\u610f\u4e49\u3002\u56e0\u6b64\uff0c\u5fc5\u987b\u5bf9\u7c97\u7c92\u5316\u7b56\u7565\u548c\u5b8f\u89c2\u52a8\u529b\u5b66\u8bbe\u7f6e\u9650\u5236\u4ee5\u907f\u514d\u5e73\u51e1\u89e3\u548c\u52a8\u529b\u5b66\u3002<\/span><\/section>\n

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

3.1.5 \u6709\u6548\u7c97\u7c92\u5316\u7b56\u7565<\/span><\/strong><\/h3>\n

<\/span><\/section>\n
\u4e3a\u4e86\u89c4\u907f\u4e0a\u8ff0\u5e73\u51e1\u89e3\u7684\u95ee\u9898\uff0cNIS\u63d0\u51fa\u4e86\u6709\u6548\u7c97\u7c92\u5316\u7b56\u7565\u548c\u6709\u6548\u5b8f\u89c2\u52a8\u529b\u5b66\u7684\u6982\u5ff5\u3002<\/span><\/section>\n

<\/span><\/section>\n
\u5176\u4e2d\uff0c\u6240\u8c13\u7684\u6709\u6548\u7c97\u7c92\u5316\u7b56\u7565<\/strong>\u5e94\u662f\u4e00\u4e2a\u4ece\u5fae\u89c2\u6001\u5230\u5b8f\u89c2\u6001\u53ef\u4ee5\u5c3d\u91cf\u591a\u5730\u4fdd\u5b58\u5fae\u89c2\u6001\u4fe1\u606f<\/strong>\u7684\u538b\u7f29\u6620\u5c04\u3002<\/span><\/section>\n

<\/span><\/section>\n
\u5982\u679c\u5b58\u5728\u4e00\u4e2a\u51fd\u6570<\/span><\/sub><\/mi><\/msup><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\uff0c\u4f7f\u5f97\u5bf9\u4e8e\u7ed9\u5b9a\u7684\u5c0f\u5b9e\u6570<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>\u03b5<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u548c\u7ed9\u5b9a\u7684\u5411\u91cf\u8303\u6570<\/span><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mo><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>\u2016<\/span><\/mo>\u22c5<\/span><\/mo>\u2016<\/span><\/mo><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\uff0c\u4ee5\u4e0b\u4e0d\u7b49\u5f0f\u6210\u7acb\uff0c\u5219 <\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>q<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> \u7ef4\u7c97\u7c92\u5316\u7b56\u7565<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msup><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msup><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>\u03d5<\/span><\/mi>q<\/span><\/sub><\/mi><\/msub>:<\/span><\/mo>R<\/span><\/mi><\/mrow>p<\/span><\/sup><\/mi><\/msup>\u2192<\/span><\/mo>R<\/span><\/mi><\/mrow>q<\/span><\/sup><\/mi><\/msup><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u662f<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>\u03f5<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u6709\u6548\u7684\uff1a<\/span><\/section>\n

<\/span><\/section>\n
\uff084\uff09<\/span><\/section>\n

<\/span><\/section>\n
\u8fd9\u91cc\u7684<\/sub>\u5373\u4e3a\u4e0e<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-math>\u03d5<\/span><\/mi>q<\/span><\/sub><\/mi><\/msub><\/mjx-assistive-mml><\/mjx-container>\u76f8\u5e94\u7684\u53cd\u7c97\u7c92\u5316\u7b56\u7565\uff0c\u5982\u679c\u4f7f\u7528\u53ef\u9006\u795e\u7ecf\u7f51\u7edc\u6280\u672f\u5efa\u6a21<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-math>\u03d5<\/span><\/mi>q<\/span><\/sub><\/mi><\/msub><\/mjx-assistive-mml><\/mjx-container>\uff0c\u4e14\u5982\u679c<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-math>p<\/span><\/mi>=<\/span><\/mo>q<\/span><\/mi><\/mjx-assistive-mml><\/mjx-container>\uff0c\u5219<\/span><\/sub><\/mn><\/mrow><\/msubsup><\/mjx-assistive-mml><\/mjx-container>\u3002<\/span><\/section>\n


<\/span><\/h3>\n

3.1.6 \u6709\u6548\u5b8f\u89c2\u52a8\u529b\u5b66<\/span><\/strong><\/h3>\n

<\/span><\/section>\n
\u540c\u65f6\uff0c\u7531\u4e0a\u9762\u5bfc\u51fa\u7684\u5b8f\u89c2\u52a8\u529b\u5b66<\/span><\/sub><\/span><\/mi><\/msub><\/mrow><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u4e5f\u662f<\/span><\/mjx-c><\/mjx-mi><\/mjx-math>\u03f5<\/span><\/mi><\/mjx-assistive-mml><\/mjx-container>\u6709\u6548\u7684<\/span>\uff08\u5176\u4e2d<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>y<\/span><\/mi><\/mrow>(<\/span><\/mo>t<\/span><\/mi>)<\/span><\/mo><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> \u662f\u5f0f2\u7684\u89e3\uff09<\/span>\u3002\u5373\u5bf9\u4e8e\u6240\u6709<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mn><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mn><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>t<\/span><\/mi>=<\/span><\/mo>1<\/span><\/mn>,<\/span><\/mo>2<\/span><\/mn>,<\/span><\/mo>\u00b7<\/span><\/mo>\u00b7<\/span><\/mo>\u00b7<\/span><\/mo>,<\/span><\/mo>T<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\uff1a<\/span><\/section>\n

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

 (5)<\/span><\/p>\n


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\u53ef\u4ee5\u901a\u8fc7<\/sub><\/span><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u91cd\u6784\u5fae\u89c2\u72b6\u6001\u65f6\u95f4\u5e8f\u5217\uff0c\u4f7f\u5f97\u5b8f\u89c2\u72b6\u6001\u53d8\u91cf\u5c3d\u53ef\u80fd\u591a\u5730\u5305\u542b\u5fae\u89c2\u72b6\u6001\u7684\u4fe1\u606f\u3002<\/span><\/section>\n

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3.2 \u6700\u5927\u5316\u6709\u6548\u4fe1\u606f<\/span><\/strong><\/span><\/h2>\n

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\u4e3a\u4e86\u627e\u5230\u4e0a\u8ff0\u5404\u4e2a\u51fd\u6570\uff0c\u5373\u6709\u6548\u7c97\u7c92\u5316\u548c\u6709\u6548\u7684\u5b8f\u89c2\u52a8\u529b\u5b66\uff0cNIS\u63d0\u51fa\u901a\u8fc7\u6700\u5927\u5316\u6709\u6548\u4fe1\u606f<\/span>\uff08EI\uff09<\/span>\u6765\u8fdb\u884c\u6c42\u89e3\u3002<\/span><\/section>\n

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\u56e0\u6b64\uff0c\u6700\u4f18\u7684\u7c97\u7c92\u5316\u7b56\u7565\u548c\u5b8f\u89c2\u52a8\u529b\u5b66\u53ef\u4ee5\u8868\u8ff0\u4e3a\uff1a\u5728\u7ea6\u675f\u65b9\u7a0b4\u548c5\u4e0b\uff0c\u6700\u5927\u5316\u5b8f\u89c2\u52a8\u529b\u5b66\u7684\u6709\u6548\u4fe1\u606f\uff0c\u5373\uff1a<\/span><\/section>\n

<\/span><\/section>\n
 <\/span>(6)<\/span><\/section>\n

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\u5176\u4e2d<\/span><\/sub><\/span><\/mi><\/mrow><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u662f\u6709\u6548\u4fe1\u606f\u7684\u5ea6\u91cf<\/span>\uff08\u8fd9\u91cc\uff0c\u56e0\u4e3a\u6240\u6709\u53d8\u91cf\u90fd\u662f\u8fde\u7eed\u578b\u5b9e\u6570\u53d8\u91cf\uff0c\u6545\u800cNIS\u4f7f\u7528\u7684\u662f\u7ef4\u5ea6\u5e73\u5747\u7684\u6709\u6548\u4fe1\u606f\uff0c\u5373dEI\uff0c\u8be6\u60c5\u8bf7\u53c2\u8003\u6709\u6548\u4fe1\u606f\uff0c\u4ee5\u53ca\u6587\u732e[1]\uff09<\/span>\u3002<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>\u03d5<\/span><\/mi>q<\/span><\/sub><\/mi><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> \u662f\u4e00\u79cd\u6709\u6548\u7684\u7c97\u7c92\u5316\u7b56\u7565\uff0c<\/span><\/sub><\/span><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container><\/mi><\/msub><\/mrow><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u662f\u4e00\u79cd\u6709\u6548\u7684\u5b8f\u89c2\u52a8\u529b\u5b66\u3002<\/span><\/section>\n


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<\/svg><\/section>\n<\/section>\n<\/section>\n
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4. NIS\u673a\u5668\u5b66\u4e60\u6846\u67b6<\/strong><\/span><\/strong><\/strong><\/p>\n<\/section>\n

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


<\/p>\n

NIS\u662f\u4e00\u79cd\u65b0\u7684\u673a\u5668\u5b66\u4e60\u6846\u67b6\uff0c\u57fa\u4e8e\u53ef\u9006\u795e\u7ecf\u7f51\u7edc\u6765\u89e3\u51b3\u5f0f6\u4e2d\u63d0\u51fa\u7684\u95ee\u9898\u3002\u8be5\u6846\u67b6\u7531\u4e09\u4e2a\u7ec4\u4ef6\u7ec4\u6210\uff1a\u7f16\u7801\u5668\u3001\u52a8\u529b\u5b66\u5b66\u4e60\u5668\u548c\u89e3\u7801\u5668\u3002\u5b83\u4eec\u5206\u522b\u7528\u795e\u7ecf\u7f51\u7edc <\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>\u03c8<\/span><\/mi>\u03b1<\/span><\/sub><\/mi><\/msub>,<\/span><\/mo>f<\/span><\/mi>\u03b2<\/span><\/sub><\/mi><\/msub>,<\/span><\/mo><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> \u548c<\/sub>\u6765\u5b9e\u73b0\uff0c\u5176\u4e2d\u8fd9\u4e9b\u795e\u7ecf\u7f51\u7edc\u7684\u53c2\u6570\u5206\u522b\u4e3a<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>\u03b1<\/span><\/mi>,<\/span><\/mo>\u03b2<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> \u548c<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>\u03b1<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> \u3002\u6574\u4e2a\u6846\u67b6\u5982\u4e0b\u56fe\u6240\u793a\u3002\u63a5\u4e0b\u6765\u5c06\u5206\u522b\u63cf\u8ff0\u6bcf\u4e2a\u6a21\u5757\u3002<\/span><\/section>\n

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

4.1 \u7f16\u7801\u5668<\/span><\/strong><\/span><\/h2>\n

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\u9996\u5148\uff0c\u7f16\u7801\u5668\u53c8\u662f\u7531\u53ef\u9006\u51fd\u6570<\/span><\/mjx-c><\/mjx-mi><\/mjx-math>\u03c8<\/span><\/mi><\/mjx-assistive-mml><\/mjx-container>\u4e0e\u6295\u5f71\u64cd\u4f5c<\/span><\/mjx-c><\/mjx-mi><\/mjx-math>\u03c7<\/span><\/mi><\/mjx-assistive-mml><\/mjx-container>\u4e24\u90e8\u5206\u6784\u6210\u3002<\/span><\/section>\n


<\/span><\/mi><\/mjx-assistive-mml><\/mjx-container><\/h3>\n

<\/mjx-c><\/mjx-mi><\/mjx-math>4.1.1 \u03c8<\/span><\/strong><\/mi><\/mjx-assistive-mml><\/mjx-container><\/h3>\n

<\/span><\/section>\n
\u8fd9\u91cc<\/span><\/mjx-c><\/mjx-mi><\/mjx-math>\u03c8<\/span><\/mi><\/mjx-assistive-mml><\/mjx-container>\u662f\u4e00\u4e2a\u4ece<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msup><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>R<\/span><\/mi><\/mrow>p<\/span><\/sup><\/mi><\/msup><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> \u5230 <\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msup><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>R<\/span><\/mi><\/mrow>p<\/span><\/sup><\/mi><\/msup><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u7684\u53ef\u9006\u51fd\u6570\uff0c\u5b83\u5efa\u6a21\u4e86\u7c97\u7c92\u5316\u8fc7\u7a0b\u4e2d\uff0c\u4fe1\u606f\u8f6c\u6362\u7684\u64cd\u4f5c\u3002\u7531\u4e8e\u51fd\u6570\u662f\u53ef\u9006\u7684\uff0c\u56e0\u6b64\uff0c\u8fd9\u4e00\u6b65\u4ec5\u4ec5\u505a\u4fe1\u606f\u8f6c\u6362\uff0c\u800c\u4e0d\u635f\u5931\u4efb\u4f55\u4fe1\u606f\u3002<\/span><\/section>\n

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4.1.2 \u6295\u5f71\u64cd\u4f5c<\/span><\/strong><\/h3>\n

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\u6295\u5f71\u7b97\u5b50<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-script><\/mjx-msub><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>\u03c7<\/span><\/mi>p<\/span><\/sub><\/mi>,<\/span><\/sub><\/mo>q<\/span><\/sub><\/mi><\/mrow><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> \u662f\u4e00\u4e2a\u4ece<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msup><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>R<\/span><\/mi><\/mrow>p<\/span><\/sub><\/mi><\/msup><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> \u5230 <\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msup><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>R<\/span><\/mi><\/mrow>q<\/span><\/sub><\/mi><\/msup><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u7684\u51fd\u6570\uff0c\u8868\u8fbe\u4e3a<\/span><\/section>\n

<\/span><\/section>\n
<\/mi><\/msub><\/span>\u03c7<\/span><\/mi>p<\/span><\/sub><\/mi>,<\/span><\/sub><\/mo>q<\/span><\/sub><\/mi><\/mrow><\/msub>(<\/span><\/mo>x<\/span><\/mi><\/mrow>q<\/span><\/sub><\/mi><\/msub>\u2a01<\/span><\/mo>x<\/span><\/mi><\/mrow>p<\/span><\/sub><\/mi>\u2212<\/span><\/sub><\/mo>q<\/span><\/sub><\/mi><\/mrow><\/msub>)<\/span><\/mo>=<\/span><\/mo>x<\/span><\/mi><\/mrow>q<\/span><\/sub>  (7)<\/span><\/mi><\/msub><\/mi><\/msub><\/span><\/section>\n

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\u5176\u4e2d<\/span><\/mjx-c><\/mjx-mo><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>\u2a01<\/span><\/mo><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u662f\u5411\u91cf\u62fc\u63a5<\/span>\uff08concatenate\uff09<\/span>\u7b97\u7b26\uff0c<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msup><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-script><\/mjx-msup><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>\u03c7<\/span><\/mi>q<\/span><\/sub><\/mi><\/msub>\u2208<\/span><\/mo>R<\/span><\/mi><\/mrow>q<\/span><\/sup><\/mi><\/msup>,<\/span><\/mo>\u03c7<\/span><\/mi>p<\/span><\/sub><\/mi>\u2212<\/span><\/sub><\/mo>q<\/span><\/sub><\/mi><\/mrow><\/msub>\u2208<\/span><\/mo>R<\/span><\/mi><\/mrow>p<\/span><\/sup><\/mi>\u2212<\/span><\/sup><\/mo>q<\/span><\/sup><\/mi><\/mrow><\/msup><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u3002 <\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>\u03c7<\/span><\/mi>p<\/span><\/sub><\/mi><\/msub>,<\/span><\/mo>q<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u53ef\u7b80\u5199\u4e3a<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>\u03c7<\/span><\/mi>q<\/span><\/sub><\/mi><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u3002<\/span><\/section>\n

<\/span><\/section>\n
\u6295\u5f71\u7b97\u5b50\u5219\u5efa\u6a21\u4e86\u7c97\u7c92\u5316\u8fc7\u7a0b\u4e2d\u7684\u4fe1\u606f\u4e22\u5931\u7684\u8fd0\u7b97\u3002<\/span><\/section>\n


<\/span><\/h3>\n

4.1.3 \u5408\u6210<\/span><\/strong><\/h3>\n

<\/span><\/section>\n
\u8fd9\u6837\uff0c\u7f16\u7801\u5668<\/span><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>(<\/span><\/mo>\u03d5<\/span><\/mi>)<\/span><\/mo><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u5c06\u5fae\u89c2\u72b6\u6001<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>x<\/span><\/mi><\/mrow><\/mi><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>t<\/span><\/sub><\/span><\/mi><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container><\/mi><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u6620\u5c04\u5230\u5b8f\u89c2\u72b6\u6001<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>y<\/span><\/mi><\/mrow><\/mi><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>t<\/span><\/sub><\/span><\/mi><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container><\/mi><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\uff0c\u5206\u4e3a\u4e24\u4e2a\u6b65\u9aa4\uff1a<\/span><\/section>\n

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   (8)<\/span><\/p>\n


<\/span><\/section>\n
\u5176\u4e2d<\/sub>\u8868\u793a\u51fd\u6570\u590d\u5408\u8fd0\u7b97\u3002<\/span><\/section>\n

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\u7b2c\u4e00\u6b65\u662f\u4ece <\/span><\/sub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u5230<\/span><\/sub><\/mi><\/msup><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u7684\u53cc\u5c04<\/span>\uff08\u53ef\u9006\uff09<\/span>\u6620\u5c04<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msup><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msup><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>\u03c8<\/span><\/mi>:<\/span><\/mo>R<\/span><\/mi><\/mrow>p<\/span><\/sup><\/mi><\/msup>\u2192<\/span><\/mo>R<\/span><\/mi><\/mrow>p<\/span><\/sup><\/mi><\/msup><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\uff0c\u7b49\u4ef7\u4e8e\u5411\u91cf\u5728\u9ad8\u7ef4\u7a7a\u95f4\u4e2d\u7684\u65cb\u8f6c\uff0c\u53ea\u6539\u53d8\u5411\u91cf\u4e0e\u5750\u6807\u8f74\u7684\u89d2\u5ea6\uff0c\u4e0d\u6539\u53d8\u6a21\u957f\uff0c\u65e0\u4fe1\u606f\u4e22\u5931\uff0c\u8be5\u8fc7\u7a0b\u53ef\u4ee5\u7531\u53ef\u9006\u795e\u7ecf\u7f51\u7edc\u5b9e\u73b0\uff1b\u7b2c\u4e8c\u6b65\u662f\u901a\u8fc7\u5c06<\/span> <\/span> <\/sub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container><\/mi><\/msup><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u6620\u5c04\u5230<\/span><\/sub><\/mi><\/msup><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\uff0c\u4e22\u5f03<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>p<\/span><\/mi>\u2212<\/span><\/mo>q<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u7ef4\u4e0a\u7684\u4fe1\u606f\uff0c\u5c06\u5f97\u5230\u7684\u5411\u91cf\u6295\u5f71\u5230<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>q<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u7ef4\u3002<\/span><\/section>\n

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4.2 \u52a8\u529b\u5b66\u5b66\u4e60\u5668<\/span><\/strong><\/span><\/h2>\n

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\u52a8\u529b\u5b66\u5b66\u4e60\u5668 <\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>f<\/span><\/mi>\u03b2<\/span><\/sub><\/mi><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> \u662f\u4e00\u4e2a\u5e26\u6709\u53c2\u6570\u7684\u5e38\u89c1\u524d\u9988\u795e\u7ecf\u7f51\u7edc\uff0c\u5b83\u5728\u5b8f\u89c2\u5c42\u9762\u4e0a\u5b66\u4e60\u6709\u6548\u7684\u9a6c\u5c14\u53ef\u592b\u52a8\u529b\u5b66\u3002\u7528 <\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>f<\/span><\/mi>\u03b2<\/span><\/sub><\/mi><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> \u66ff\u6362\u65b9\u7a0b2\u4e2d\u7684<\/span><\/sub><\/span><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container><\/msub><\/mrow><\/mstyle><\/mjx-container><\/mi><\/msub><\/mrow><\/msub><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\uff0c\u5e76\u4f7f\u7528 <\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mn><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>d<\/span><\/mi>t<\/span><\/mi>=<\/span><\/mo>1<\/span><\/mn><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> \u7684\u6b27\u62c9\u65b9\u6cd5\u6c42\u89e3\u65b9\u7a0b (2)\u3002\u5047\u8bbe\u566a\u58f0\u662f\u9ad8\u65af\u5206\u5e03<\/span>\uff08\u6216\u62c9\u666e\u62c9\u65af\u5206\u5e03\uff09<\/span>\uff0c\u5219\u53ef\u4ee5\u5c06\u65b9\u7a0b5\u7b80\u5316\u4e3a\uff1a<\/span><\/section>\n

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 (9)<\/span><\/p>\n


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\u5176\u4e2d\uff0c<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-script><\/mjx-msup><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mn><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>\u03be<\/span><\/mi>\u2032<\/span><\/mo><\/msup>\u223c<\/span><\/mo>N<\/span><\/mi><\/mrow>(<\/span><\/mo>0<\/span><\/mn>,<\/span><\/mo>\u03a3<\/span><\/mi>)<\/span><\/mo><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> \u6216 <\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mn><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mo><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>L<\/span><\/mi>a<\/span><\/mi>p<\/span><\/mi>l<\/span><\/mi>a<\/span><\/mi>c<\/span><\/mi>i<\/span><\/mi>a<\/span><\/mi>n<\/span><\/mi>(<\/span><\/mo>0<\/span><\/mn>,<\/span><\/mo>\u03a3<\/span><\/mi>)<\/span><\/mo>,<\/span><\/mo><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> <\/sub>\u662f\u534f\u65b9\u5dee\u77e9\u9635\uff0c<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>\u03c3<\/span><\/mi>i<\/span><\/sub><\/mi><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> \u662f\u7b2c <\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>i<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> \u7ef4\u5ea6\u7684\u6807\u51c6\u5dee<\/span>\uff08\u53ef\u4ee5\u5b66\u4e60\u6216\u56fa\u5b9a\uff09<\/span>\u3002\u56e0\u6b64\uff0c\u8be5\u52a8\u529b\u5b66\u7684\u8f6c\u79fb\u6982\u7387\u53ef\u88ab\u5199\u4f5c\uff1a<\/span><\/section>\n

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\u5176\u4e2d\uff0c<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>D<\/span><\/mi><\/mrow><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> \u6307\u8868\u793a\u9ad8\u65af\u5206\u5e03\u6216\u62c9\u666e\u62c9\u65af\u5206\u5e03\u7684\u6982\u7387\u5bc6\u5ea6\u51fd\u6570\uff0c<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>\u03bc<\/span><\/mi>(<\/span><\/mo>y<\/span><\/mi><\/mrow>t<\/span><\/sub><\/mi><\/msub>)<\/span><\/mo>\u2261<\/span><\/mo>y<\/span><\/mi><\/mrow>t<\/span><\/mi><\/msub>+<\/span><\/mo>f<\/span><\/mi>\u03b2<\/span><\/sub><\/mi><\/msub>(<\/span><\/mo>y<\/span><\/mi><\/mrow>t<\/span><\/sub><\/mi><\/msub>)<\/span><\/mo><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> \u662f\u5206\u5e03\u7684\u5747\u503c\u5411\u91cf\u3002<\/span><\/section>\n

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\u901a\u8fc7\u7aef\u5230\u7aef\u7684\u65b9\u5f0f\u8bad\u7ec3\u52a8\u529b\u5b66\u5b66\u4e60\u5668\uff0c\u53ef\u4ee5\u907f\u514d\u4ece\u6570\u636e\u4e2d\u4f30\u8ba1\u9a6c\u5c14\u53ef\u592b\u8f6c\u79fb\u6982\u7387\u4ee5\u51cf\u5c11\u504f\u5dee\u3002<\/span><\/section>\n


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4.3 \u89e3\u7801\u5668<\/span><\/strong><\/span><\/h2>\n

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\u89e3\u7801\u5668\u5c06\u5b8f\u89c2\u72b6\u6001 <\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mn><\/mjx-c><\/mjx-mo><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>y<\/span><\/mi><\/mrow>(<\/span><\/mo>t<\/span><\/mi>+<\/span><\/mo>1<\/span><\/mn>)<\/span><\/mo><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> \u7684\u9884\u6d4b\u8f6c\u6362\u4e3a\u5fae\u89c2\u72b6\u6001<\/span><\/sub>\u7684\u9884\u6d4b\u3002\u5728\u8fd9\u4e2a\u6846\u67b6\u4e2d\uff0c\u7c97\u7c92\u5316\u7b56\u7565 <\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>\u03d5<\/span><\/mi>q<\/span><\/sub><\/mi><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> \u53ef\u4ee5\u5206\u89e3\u4e3a\u53ef\u9006\u51fd\u6570 <\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>\u03c8<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> \u548c\u6295\u5f71\u5668 <\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>\u03c7<\/span><\/mi>q<\/span><\/sub><\/mi><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\uff0c\u56e0\u6b64\u89e3\u7801\u5668\u53ef\u4ee5\u76f4\u63a5\u901a\u8fc7\u53cd\u8f6c <\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>\u03c8<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> \u5f97\u5230\u3002\u7136\u800c\uff0c\u7531\u4e8e\u5b8f\u89c2\u72b6\u6001\u7684\u7ef4\u5ea6\u662f <\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>q<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\uff0c\u800c <\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>\u03c8<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> \u7684\u8f93\u5165\u7ef4\u5ea6\u662f <\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>p<\/span><\/mi>><\/span><\/mo>q<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\uff0c\u56e0\u6b64\u9700\u8981\u7528 <\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>p<\/span><\/mi>\u2212<\/span><\/mo>q<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> \u7ef4\u9ad8\u65af\u968f\u673a\u5411\u91cf\u586b\u5145\u5269\u4f59\u7684 <\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>p<\/span><\/mi>\u2212<\/span><\/mo>q<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> \u7ef4\u3002\u5bf9\u4e8e\u4efb\u4f55 <\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>\u03d5<\/span><\/mi><\/mi><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>q<\/span><\/sub><\/span><\/mi><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container><\/mi><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\uff0c\u89e3\u7801\u6620\u5c04\u53ef\u4ee5\u5b9a\u4e49\u4e3a\uff1a<\/span><\/section>\n

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\u5176\u4e2d\uff0c<\/span><\/sub>\u662f <\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>\u03c8<\/span><\/mi>\u03b1<\/span><\/sub><\/mi><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> <\/span><\/sub>\u7684\u9006\u51fd\u6570\uff0c<\/span><\/sub>\u5b9a\u4e49\u4e3a\uff1a\u5bf9\u4e8e\u4efb\u610f <\/span><\/sub><\/mi><\/msup><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\uff0c\u6709<\/span><\/section>\n


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\u5176\u4e2d\uff0c<\/span><\/sub>\u662f <\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>p<\/span><\/mi>\u2212<\/span><\/mo>q<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> \u7ef4\u7684\u9ad8\u65af\u968f\u673a\u566a\u58f0<\/sub>\u662f\u540c\u7ef4\u5ea6\u7684\u5355\u4f4d\u77e9\u9635\u3002\u8fd9\u6837\u53ef\u4ee5\u7ed3\u5408 <\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>x<\/span><\/mi><\/mrow><\/mi><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>q<\/span><\/sub><\/span><\/mi><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container><\/mi><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> \u548c\u4e00\u4e2a\u6765\u81ea <\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>p<\/span><\/mi>\u2212<\/span><\/mo>q<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> \u7ef4\u6807\u51c6\u6b63\u6001\u5206\u5e03\u7684\u968f\u673a\u6837\u672c <\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-script><\/mjx-msub><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>z<\/span><\/mi><\/mrow><\/mi><\/mrow><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>p<\/span><\/sub><\/span><\/mi>\u2212<\/span><\/sub><\/span><\/mo>q<\/span><\/sub><\/span><\/mi><\/mrow><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> <\/span><\/sub><\/span>\u751f\u6210\u5fae\u89c2\u72b6\u6001\u3002<\/span><\/section>\n

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\u89e3\u7801\u5668\u53ef\u4ee5\u88ab\u89c6\u4e3a\u6761\u4ef6\u6982\u7387<\/span><\/sub>\u7684\u751f\u6210\u6a21\u578b[10][11]\uff0c\u800c\u7f16\u7801\u5668\u6267\u884c\u7c97\u7c92\u5316\u8fc7\u7a0b<\/span>\uff08\u4e5f\u53ef\u4ee5\u79f0\u4e3a\u91cd\u6574\u5316Renormalization\uff09<\/span>\u3002<\/span><\/section>\n

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4.4 \u4f7f\u7528\u53ef\u9006\u795e\u7ecf\u7f51\u7edc\u7684\u539f\u56e0<\/span><\/strong><\/span><\/h2>\n

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\u6709\u591a\u79cd\u65b9\u6cd5\u53ef\u4ee5\u5b9e\u73b0\u53ef\u9006\u795e\u7ecf\u7f51\u7edc[12][13]\u3002\u8fd9\u91cc\u9009\u62e9\u5982\u4e0a\u56fe\u6240\u793a\u7684RealNVP\u6a21\u5757[14]\u6765\u5177\u4f53\u5b9e\u73b0\u53ef\u9006\u8ba1\u7b97\u3002<\/span><\/section>\n

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\u5728\u8be5\u6a21\u5757\u4e2d\uff0c\u8f93\u5165\u5411\u91cf<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>x<\/span><\/mi><\/mrow><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u88ab\u62c6\u5206\u6210\u4e24\u90e8\u5206\u5e76\u7f29\u653e\u3001\u5e73\u79fb\u3001\u518d\u6b21\u5408\u5e76\uff0c\u7f29\u653e\u548c\u5e73\u79fb\u64cd\u4f5c\u7684\u5e45\u5ea6\u7531\u76f8\u5e94\u7684\u524d\u9988\u795e\u7ecf\u7f51\u7edc\u8c03\u6574\u3002<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mn><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mn><\/mjx-script><\/mjx-msub><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>s<\/span><\/mi>1<\/span><\/sub><\/mn><\/msub>,<\/span><\/mo>s<\/span><\/mi>2<\/span><\/sub><\/mn><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u662f\u7528\u6765\u7f29\u653e\u7684\u5171\u4eab\u53c2\u6570\u7684\u795e\u7ecf\u7f51\u7edc\uff0c<\/span><\/mjx-c><\/mjx-mo><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>\u2a02<\/span><\/mo><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> \u8868\u793a\u5143\u7d20\u4e58\u79ef\u3002<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mn><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mn><\/mjx-script><\/mjx-msub><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>t<\/span><\/mi>1<\/span><\/sub><\/mn><\/msub>,<\/span><\/mo>t<\/span><\/mi>2<\/span><\/sub><\/mn><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u662f\u7528\u6765\u5e73\u79fb\u7684\u5171\u4eab\u53c2\u6570\u7684\u795e\u7ecf\u7f51\u7edc\u3002\u8fd9\u6837\uff0c\u6211\u4eec\u5c31\u53ef\u4ee5\u5b9e\u73b0\u4ecex\u5230y\u7684\u53ef\u9006\u8ba1\u7b97\u3002\u540c\u4e00\u6a21\u5757\u53ef\u4ee5\u91cd\u590d\u591a\u6b21\u4ee5\u5b9e\u73b0\u590d\u6742\u7684\u53ef\u9006\u8ba1\u7b97\u3002<\/span><\/section>\n

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4.5 \u4e24\u6b65\u4f18\u5316<\/span><\/strong><\/span><\/h2>\n

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\u5c3d\u7ba1\u51fd\u6570\u5df2\u88ab\u795e\u7ecf\u7f51\u7edc\u53c2\u6570\u5316\uff0c\u4f46\u7531\u4e8e\u5fc5\u987b\u7efc\u5408\u8003\u8651\u76ee\u6807\u51fd\u6570\u548c\u7ea6\u675f\u6761\u4ef6\uff0c\u5e76\u4e14\u8d85\u53c2\u6570 <\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>q<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> \u4f1a\u5f71\u54cd\u795e\u7ecf\u7f51\u7edc\u7684\u7ed3\u6784\uff0c\u56e0\u6b64\u76f4\u63a5\u4f18\u5316\u5f0f6\u4ecd\u7136\u5177\u6709\u6311\u6218\u6027\u3002\u56e0\u6b64\uff0c\u8bba\u6587[1]\u63d0\u51fa\u4e86\u4e00\u79cd\u4e24\u9636\u6bb5\u4f18\u5316\u65b9\u6cd5\u3002\u5728\u7b2c\u4e00\u9636\u6bb5\uff0c\u8bba\u6587\u56fa\u5b9a\u8d85\u53c2\u6570 <\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>q<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\uff0c\u5e76\u4f18\u5316\u9884\u6d4b\u7684\u5fae\u89c2\u72b6\u6001\u548c\u89c2\u6d4b\u6570\u636e\u7684\u5dee\u5f02<\/span><\/sub><\/mo><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\uff08\u5373\u5f0f4\uff09<\/span>\uff0c\u4ee5\u786e\u4fdd\u7c97\u7c92\u5316\u7b56\u7565 <\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>\u03d5<\/span><\/mi>q<\/span><\/sub><\/mi><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> \u548c\u5b8f\u89c2\u52a8\u529b\u5b66<\/span><\/sub>\u7684\u6709\u6548\u6027\u3002\u6b64\u5916\uff0cNIS\u901a\u8fc7\u641c\u7d22\u6240\u6709\u53ef\u80fd\u7684 <\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>q<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> \u503c\uff0c\u4ee5\u627e\u5230\u6709\u6548\u4fe1\u606f\u7684\u6700\u5927\u503c\uff0c\u4e5f\u5c31\u662f\u6700\u5927\u5316<\/sub>\u3002<\/span><\/section>\n

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4.5.1 \u8bad\u7ec3\u4e00\u4e2a\u9884\u6d4b\u5668<\/span><\/strong><\/h3>\n

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\u5728\u7b2c\u4e00\u9636\u6bb5\uff0cNIS\u4f7f\u7528\u4f3c\u7136\u6700\u5927\u5316\u548c\u968f\u673a\u68af\u5ea6\u4e0b\u964d\u6280\u672f\u6765\u83b7\u5f97\u6709\u6548\u7684 <\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>q<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> \u7c97\u7c92\u5316\u7b56\u7565\u548c\u5b8f\u89c2\u72b6\u6001\u52a8\u529b\u5b66\u7684\u6709\u6548\u9884\u6d4b\u5668\u3002\u76ee\u6807\u51fd\u6570\u7531\u5fae\u89c2\u72b6\u6001\u9884\u6d4b\u7684\u6982\u7387\u5b9a\u4e49\u3002<\/span><\/section>\n

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\u524d\u9988\u795e\u7ecf\u7f51\u7edc\u53ef\u4ee5\u7406\u89e3\u4e3a\u4e00\u79cd\u7528\u9ad8\u65af\u6216\u62c9\u666e\u62c9\u65af\u5206\u5e03\u5efa\u6a21\u6761\u4ef6\u6982\u7387[15]\u7684\u673a\u5668\u3002\u56e0\u6b64\uff0c\u6574\u4e2a NIS \u6846\u67b6\u53ef\u4ee5\u7406\u89e3\u4e3a\u4e00\u4e2a\u5bf9\u6761\u4ef6\u6982\u7387<\/span><\/sub>\u5efa\u6a21\u7684\u6a21\u578b\uff0c\u795e\u7ecf\u7f51\u7edc\u7684\u8f93\u51fa<\/sub>\u4e3a\u6b64\u5206\u5e03\u7684\u5e73\u5747\u503c\u3002\u6b64\u5916\uff0c\u76ee\u6807\u51fd\u6570\u65b9\u7a0b 14 \u53ea\u662f\u7ed9\u5b9a\u5206\u5e03\u5f62\u5f0f\u4e0b\u89c2\u6d4b\u6570\u636e\u7684\u5bf9\u6570\u4f3c\u7136\u6216\u4ea4\u53c9\u71b5\u3002<\/span><\/section>\n

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\u5176\u4e2d\u5f53 <\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mn><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>l<\/span><\/mi>=<\/span><\/mo>2<\/span><\/mn><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> \u65f6\uff0c<\/sub><\/span>\uff0c\u800c\u5f53 <\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mn><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>l<\/span><\/mi>=<\/span><\/mo>1<\/span><\/mn><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> \u65f6\u6982\u7387\u5206\u5e03\u4e3a<\/span><\/sub><\/mo><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u3002<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>\u03a3<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> \u662f\u534f\u65b9\u5dee\u77e9\u9635\u3002<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>\u03a3<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> \u59cb\u7ec8\u662f\u5bf9\u89d2\u77e9\u9635\uff0c\u5176\u5e45\u5ea6\u4e3a <\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mn><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>l<\/span><\/mi>=<\/span><\/mo>2<\/span><\/mn><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> \u65f6\u7684\u5747\u65b9\u8bef\u5dee\u6216 <\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mn><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>l<\/span><\/mi>=<\/span><\/mo>1<\/span><\/mn><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> \u65f6\u7684\u7edd\u5bf9\u503c\u5e73\u5747\u503c\u3002<\/span><\/section>\n

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\u5982\u679c\u5c06\u9ad8\u65af\u6216\u62c9\u666e\u62c9\u65af\u5206\u5e03\u7684\u5177\u4f53\u5f62\u5f0f\u5e26\u5165\u6761\u4ef6\u6982\u7387\uff0c\u5c06\u770b\u5230\u6700\u5927\u5316\u5bf9\u6570\u4f3c\u7136\u7b49\u540c\u4e8e\u6700\u5c0f\u5316 <\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>l<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> \u8303\u6570\u76ee\u6807\u51fd\u6570\uff1a<\/span><\/section>\n

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\u5176\u4e2d <\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mn><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>l<\/span><\/mi>=<\/span><\/mo>1<\/span><\/mn><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> \u6216 <\/span><\/mjx-c><\/mjx-mn><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>2<\/span><\/mn><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u3002\u63a5\u4e0b\u6765\u4f7f\u7528\u968f\u673a\u68af\u5ea6\u4e0b\u964d\u6280\u672f\u6765\u4f18\u5316\u65b9\u7a0b14\u3002<\/span><\/section>\n


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4.5.2 \u9009\u62e9\u4e00\u4e2a\u6700\u4f18\u7684\u5c3a\u5ea6<\/span><\/strong><\/h3>\n

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\u5728\u4e0a\u4e00\u6b65\u4e2d\uff0c\u7ecf\u8fc7\u5927\u91cf\u7684\u8bad\u7ec3\u5468\u671f\u53ef\u4ee5\u5f97\u5230\u6709\u6548\u7684 <\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>q<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> \u7c97\u7c92\u5316\u7b56\u7565\u548c\u5b8f\u89c2\u72b6\u6001\u52a8\u529b\u5b66\uff0c\u4f46\u8bad\u7ec3\u7ed3\u679c\u4f9d\u8d56\u4e8e <\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>q<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u3002<\/span><\/section>\n

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\u4e3a\u4e86\u9009\u62e9\u6700\u4f18\u7684 <\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>q<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\uff0c\u53ef\u4ee5\u6bd4\u8f83\u4e0d\u540c <\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>q<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> \u7ef4\u7c97\u7c92\u5316\u7684\u6709\u6548\u4fe1\u606f\u5ea6\u91cf<\/span>\u5316<\/span><\/sub><\/mi><\/mrow><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u3002\u7531\u4e8e\u53c2\u6570 <\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>q<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> \u662f\u4e00\u7ef4\u7684\uff0c\u5176\u503c\u8303\u56f4\u4e5f\u6709\u9650 <\/span><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mn><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>(<\/span><\/mo>0<\/span><\/mn><<\/span><\/mo>q<\/span><\/mi><<\/span><\/mo>p<\/span><\/mi>)<\/span><\/mo><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\uff0c\u53ef\u4ee5\u7b80\u5355\u5730\u8fed\u4ee3\u6240\u6709 <\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>q<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> \u4ee5\u627e\u51fa\u6700\u4f18\u7684 <\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>q<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> \u548c\u6700\u4f18\u7684\u6709\u6548\u7b56\u7565\u3002<\/span><\/section>\n


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5. NIS\u7684\u7406\u8bba\u6027\u8d28<\/strong><\/span><\/strong><\/strong><\/p>\n<\/section>\n

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


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\u4f7f\u7528\u4e86\u53ef\u9006\u795e\u7ecf\u7f51\u7edc\u4f5c\u4e3a\u7f16\u7801\u5668\u7684\u57fa\u7840\u4ee5\u540e\uff0cNIS\u6846\u67b6\u5177\u5907\u5f88\u597d\u5730\u6570\u5b66\u5206\u6790\u6027\u8d28\u3002\u63a5\u4e0b\u6765\uff0c\u8fd9\u91cc\u5c06\u5c55\u793a\u8bba\u6587[1]\u7684\u82e5\u5e72\u91cd\u8981\u5b9a\u7406\u3002<\/span><\/section>\n

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5.1 \u538b\u7f29\u4fe1\u9053\u7406\u8bba<\/span><\/strong><\/span><\/h2>\n

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NIS\u6846\u67b6\u53ef\u4ee5\u770b\u4f5c\u4e0a\u56fe\u6240\u793a\u7684\u4fe1\u9053\uff0c\u7531\u4e8e\u6295\u5f71\u64cd\u4f5c\u7684\u5b58\u5728\uff0c\u901a\u9053\u5728\u4e2d\u95f4\u88ab\u538b\u7f29\u3002\u6b64\u4e3a\u538b\u7f29\u4fe1\u606f\u901a\u9053\u3002\u8fd9\u91cc\uff0c<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-math>x<\/span><\/mi><\/mrow><\/mi><\/msub><\/mjx-assistive-mml><\/mjx-container>t<\/span><\/sub><\/span><\/mi><\/msub><\/mjx-assistive-mml><\/mjx-container><\/mi><\/msub><\/mjx-assistive-mml><\/mjx-container>\u4e3a\u8f93\u5165\u6570\u636e\uff0c<\/span><\/sub><\/mi><\/mrow><\/msubsup><\/mjx-assistive-mml><\/mjx-container>\u4e3a\u4e22\u5f03\u7684\u6570\u636e\uff0c<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-math>y<\/span><\/mi><\/mrow><\/mi><\/msub><\/mjx-assistive-mml><\/mjx-container>t<\/span><\/sub><\/span><\/mi><\/msub><\/mjx-assistive-mml><\/mjx-container><\/mi><\/msub><\/mjx-assistive-mml><\/mjx-container>\u4e3a\u5b8f\u89c2\u6001\uff0c<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-script><\/mjx-msub><\/mjx-math>z<\/span><\/mi><\/mrow><\/mi><\/mrow><\/msub><\/mjx-assistive-mml><\/mjx-container>p<\/span><\/sub><\/span><\/mi>\u2212<\/span><\/sub><\/span><\/mo>q<\/span><\/sub><\/span><\/mi><\/mrow><\/msub><\/mjx-assistive-mml><\/mjx-container><\/mi><\/mrow><\/msub><\/mjx-assistive-mml><\/mjx-container>\u4e3ap-q\u7ef4\u7684\u6b63\u6001\u5206\u5e03\u968f\u673a\u6570\uff0c<\/span><\/sub><\/mn><\/mrow><\/msub><\/mjx-assistive-mml><\/mjx-container>\u4e3a\u6a21\u578b\u5bf9t+1\u65f6\u523b\u5fae\u89c2\u6001\u7684\u9884\u6d4b\u8f93\u51fa\u3002<\/span><\/section>\n

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5.1.1 \u4fe1\u606f\u538b\u7f29\u7684\u4fe1\u606f\u74f6\u9888<\/span><\/strong><\/h3>\n

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\u5bf9\u4e8e\u4e0a\u56fe\u6240\u793a\u7684\u538b\u7f29\u4fe1\u9053\u4ee5\u53ca\u4efb\u610f\u53ef\u9006\u51fd\u6570<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>\u03c8<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u3001\u6295\u5f71\u51fd\u6570 <\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>\u03c7<\/span><\/mi><\/mi><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>q<\/span><\/sub><\/span><\/mi><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container><\/mi><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u3001\u5b8f\u89c2\u52a8\u529b\u5b66 <\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>f<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> \u548c\u968f\u673a\u566a\u58f0<\/sub>\uff0c\u6709\uff1a<\/span><\/section>\n

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\u5176\u4e2d<\/span><\/sub><\/msub><\/mjx-assistive-mml><\/mjx-container>\u662fNIS\u7684\u9884\u6d4b\u503c\uff0c<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mn><\/mjx-c><\/mjx-mo><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>y<\/span><\/mi><\/mrow>(<\/span><\/mo>t<\/span><\/mi>+<\/span><\/mo>1<\/span><\/mn>)<\/span><\/mo><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u7b26\u5408\u5f0f2\u3002<\/span><\/section>\n

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\u5bf9\u4e8e\u4efb\u4f55\u5b9e\u73b0\u538b\u7f29\u4fe1\u9053\u793a\u610f\u56fe\u4e2d\u4e00\u822c\u6846\u67b6\u7684\u795e\u7ecf\u7f51\u7edc\uff0c\u5b8f\u89c2\u52a8\u529b\u5b66 <\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-texatom><\/mjx-script><\/mjx-msub><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>f\u03d5<\/mi>q<\/sub> <\/mi><\/sub><\/span><\/mi><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u7684\u4e92\u4fe1\u606f\u4e0e\u6574\u4e2a\u52a8\u529b\u5b66\u6a21\u578b\u76f8\u540c\uff0c\u5373\u5bf9\u4e8e\u4efb\u610f\u65f6\u95f4\u4ece <\/span><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>(<\/span><\/mo>x<\/span><\/mi><\/mrow>t<\/span><\/sub><\/mi><\/msub>)<\/span><\/mo><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> \u5230 <\/span><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mo><\/mjx-over><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-base><\/mjx-mover><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mn><\/mjx-texatom><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>(<\/span><\/mo><\/sub><\/msub><\/mjx-assistive-mml><\/mjx-container><\/mn><\/mrow><\/msub>)<\/span><\/mo><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> \u7684\u6620\u5c04\u3002\u6b64\u5b9a\u7406\u662f NIS \u4e2d\u6700\u91cd\u8981\u7684\u5b9a\u7406\u3002\u4ece\u8fd9\u4e2a\u5b9a\u7406\u53ef\u4ee5\u770b\u51fa\uff0c\u5b9e\u9645\u4e0a\uff0c\u5b8f\u89c2\u52a8\u529b\u5b66 <\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>f<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> \u662f\u6574\u4e2a\u901a\u9053\u7684\u4fe1\u606f\u74f6\u9888[16]\u3002<\/span><\/section>\n

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5.2 \u8bad\u7ec3\u8fc7\u7a0b\u7684\u53d8\u5316<\/span><\/strong><\/span><\/h2>\n

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\u901a\u8fc7\u4fe1\u606f\u74f6\u9888\u7406\u8bba\uff0c\u53ef\u4ee5\u76f4\u89c2\u5730\u7406\u89e3\u5f53\u795e\u7ecf\u538b\u7f29\u5668\u6846\u67b6\u901a\u8fc7\u6570\u636e\u8fdb\u884c\u8bad\u7ec3\u65f6\u4f1a\u53d1\u751f\u4ec0\u4e48\u3002\u9996\u5148\uff0c\u5728\u795e\u7ecf\u7f51\u7edc\u8bad\u7ec3\u8fc7\u7a0b\u4e2d\uff0c\u6574\u4e2a\u6846\u67b6\u7684\u8f93\u51fa<\/span><\/sub><\/mjx-container><\/mjx-container><\/span><\/mn><\/mrow><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u5bf9\u4efb\u610f\u7ed9\u5b9a<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>x<\/span><\/mi><\/mrow>t<\/span><\/sub><\/mi><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u90fd\u63a5\u8fd1\u4e8e\u771f\u5b9e\u6570\u636e<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mn><\/mjx-texatom><\/mjx-script><\/mjx-msub><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>x<\/span><\/mi><\/mrow>t<\/span><\/sub><\/mi>+<\/span><\/sub><\/mo>1<\/span><\/sub><\/mn><\/mrow><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\uff0c\u5bf9\u4e92\u4fe1\u606f\u540c\u7406\u3002\u5373\u5982\u4e0b\u5b9a\u7406\uff1a<\/span><\/section>\n

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5.2.1 \u6a21\u578b\u7684\u4e92\u4fe1\u606f\u4e0e\u6570\u636e\u7684\u4e92\u4fe1\u606f\u63a5\u8fd1<\/span><\/strong><\/h3>\n

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\u5982\u679c NIS \u6846\u67b6\u4e2d\u7684\u795e\u7ecf\u7f51\u7edc\u662f\u8bad\u7ec3\u5145\u5206\u7684\uff08\u5373\u5bf9\u4e8e\u4efb\u4f55<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mn><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>t<\/span><\/mi>\u2208<\/span><\/mo>[<\/span><\/mo>1<\/span><\/mn>,<\/span><\/mo>T<\/span><\/mi>]<\/span><\/mo><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u8bad\u7ec3\u5468\u671f\u7ed3\u675f\u65f6\u6709<\/span><\/sub>\u548c <\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mn><\/mjx-texatom><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>P<\/span><\/mi>r<\/span><\/mi>\u03c4<\/span><\/sub><\/mi><\/msub>(<\/span><\/mo>x<\/span><\/mi><\/mrow>t<\/span><\/sub><\/mi>+<\/span><\/sub><\/mo>1<\/span><\/sub><\/mn><\/mrow><\/msub>|<\/span><\/mo><\/mrow>x<\/span><\/mi><\/mrow>t<\/span><\/sub><\/mi><\/msub>)<\/span><\/mo><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> \u4e4b\u95f4\u7684 Kullback- Leibler \u6563\u5ea6\u8d8b\u8fd1\u4e8e 0\uff09\uff0c\u90a3\u4e48\u5bf9\u4e8e\u4efb\u4f55<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mn><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>t<\/span><\/mi>\u2208<\/span><\/mo>[<\/span><\/mo>1<\/span><\/mn>,<\/span><\/mo>T<\/span><\/mi>]<\/span><\/mo><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\uff1a<\/span><\/section>\n

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  (22)<\/span><\/section>\n

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\u5176\u4e2d <\/span><\/mjx-c><\/mjx-mo><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>\u2243<\/span><\/mo><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> \u8868\u793a<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>t<\/span><\/mi>\u2192<\/span><\/mo>\u221e<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> \u65f6\u7684\u6e10\u8fd1\u7b49\u4ef7\u3002<\/span><\/section>\n

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\u7531\u4e8e\u5fae\u89c2\u72b6\u6001<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>x<\/span><\/mi><\/mrow>t<\/span><\/sub><\/mi><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u7684\u65f6\u95f4\u5e8f\u5217\u5305\u542b\u4fe1\u606f\uff0c\u5047\u8bbe\u4e92\u4fe1\u606f<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mn><\/mjx-texatom><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>I<\/span><\/mi>(<\/span><\/mo>x<\/span><\/mi><\/mrow>t<\/span><\/sub><\/mi><\/msub>,<\/span><\/mo>x<\/span><\/mi><\/mrow>t<\/span><\/sub><\/mi>+<\/span><\/sub><\/mo>1<\/span><\/sub><\/mn><\/mrow><\/msub>)<\/span><\/mo><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> \u8f83\u5927\uff0c\u5426\u5219\u4e0d\u5173\u6ce8<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>x<\/span><\/mi><\/mrow>t<\/span><\/sub><\/mi><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u3002\u56e0\u6b64\uff0c\u968f\u7740\u795e\u7ecf\u7f51\u7edc\u7684\u8bad\u7ec3\uff0c<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mo><\/mjx-over><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-base><\/mjx-mover><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mn><\/mjx-texatom><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>I<\/span><\/mi>(<\/span><\/mo><\/sub><\/mn><\/mrow><\/msub>; <\/span><\/mo>x<\/span><\/mi><\/mrow>t<\/span><\/sub><\/mi><\/msub>)<\/span><\/mo><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u5c06\u589e\u52a0\uff0c\u76f4\u5230\u63a5\u8fd1<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mn><\/mjx-texatom><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>I<\/span><\/mi>(<\/span><\/mo>x<\/span><\/mi><\/mrow>t<\/span><\/sub><\/mi>+<\/span><\/sub><\/mo>1<\/span><\/sub><\/mn><\/mrow><\/msub>; <\/span><\/mo>x<\/span><\/mi><\/mrow>t<\/span><\/sub><\/mi><\/msub>)<\/span><\/mo><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u3002\u6839\u636e\u4fe1\u606f\u74f6\u9888\u7406\u8bba\uff0c<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mn><\/mjx-texatom><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mo><\/mjx-over><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-base><\/mjx-mover><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mn><\/mjx-texatom><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>I<\/span><\/mi>(<\/span><\/mo>y<\/span><\/mi><\/mrow>t<\/span><\/sub><\/mi><\/mrow><\/msub>;<\/span><\/mo>y<\/span><\/mi><\/mrow>t<\/span><\/sub><\/mi>+<\/span><\/sub><\/mo>1<\/span><\/sub><\/mn><\/mrow><\/msub>)<\/span><\/mo>=<\/span><\/mo>I<\/span><\/mi>(<\/span><\/mo>x<\/span><\/mi><\/mrow>t<\/span><\/sub><\/mi><\/mrow><\/msub>;<\/span> <\/span><\/mo><\/sub><\/mn><\/mrow><\/msub>)<\/span><\/mo><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u4e5f\u5c06\u589e\u52a0\uff0c\u76f4\u5230\u63a5\u8fd1<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mn><\/mjx-texatom><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>I<\/span><\/mi>(<\/span><\/mo>xt<\/sub><\/span><\/mi><\/mrow>+<\/span><\/sub><\/mo>1<\/span><\/sub><\/mn><\/mrow><\/msub>; <\/span><\/mo>x<\/span><\/mi><\/mrow>t<\/span><\/sub><\/mi><\/msub>)<\/span><\/mo><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u3002<\/span><\/section>\n

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\u56e0\u4e3a\u5b8f\u89c2\u52a8\u529b\u5b66\u662f\u6574\u4e2a\u901a\u9053\u7684\u4fe1\u606f\u74f6\u9888\uff0c\u5176\u4fe1\u606f\u5fc5\u7136\u968f\u7740\u8bad\u7ec3\u800c\u589e\u52a0\u3002\u540c\u65f6\uff0c<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>\u03c8<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u7684\u96c5\u53ef\u6bd4\u77e9\u9635\u7684\u884c\u5217\u5f0f\u548c<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>y<\/span><\/mi><\/mrow>t<\/span><\/sub><\/mi><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u7684\u71b5\u4e00\u822c\u4e5f\u4f1a\u589e\u52a0\u3002<\/span><\/section>\n

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5.2.2 \u4fe1\u606f\u74f6\u9888\u662f\u7f16\u7801\u5668\u7684\u4e0b\u754c<\/span><\/strong><\/h3>\n

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\u5bf9\u4e8e\u4e0a\u56fe\u4e2d\u7684\u538b\u7f29\u4fe1\u606f\u4fe1\u9053\uff0c<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>\u03c8<\/span><\/mi>\u03b1<\/span><\/sub><\/mi><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u7684\u96c5\u53ef\u6bd4\u77e9\u9635\u7684\u884c\u5217\u5f0f\u548c<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>y<\/span><\/mi><\/mrow>t<\/span><\/sub><\/mi><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u7684\u9999\u519c\u71b5\u7684\u4e0b\u754c\u662f\u6574\u4e2a\u4fe1\u9053\u7684\u4fe1\u606f\uff1a<\/span><\/section>\n

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 (23)<\/span><\/p>\n


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\u5176\u4e2dH\u4e3a\u9999\u519c\u71b5\u6d4b\u5ea6\uff0c<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-texatom><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>J<\/span><\/mi>\u03c8<\/span><\/sub><\/mi>\u03b1<\/span><\/sub><\/mi><\/msub><\/mrow><\/msub>(<\/span><\/mo>x<\/span><\/mi><\/mrow>t<\/span><\/sub><\/mi><\/msub>)<\/span><\/mo><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u4e3a\u53cc\u5c04<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>\u03c8<\/span><\/mi>\u03b1<\/span><\/sub><\/mi><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u8f93\u5165<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>x<\/span><\/mi><\/mrow>t<\/span><\/sub><\/mi><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> \u65f6\u7684\u96c5\u53ef\u6bd4\u77e9\u9635\uff0c<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-texatom><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>J<\/span><\/mi>\u03c8<\/span><\/sub><\/mi>\u03b1<\/span><\/sub><\/mi><\/msub>,<\/span><\/mo>y<\/span><\/mi><\/mrow>t<\/span><\/sub><\/mi><\/msub><\/mrow><\/msub>(<\/span><\/mo>x<\/span><\/mi><\/mrow>t<\/span><\/sub><\/mi><\/msub>)<\/span><\/mo><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> \u4e3a<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-texatom><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>J<\/span><\/mi>\u03c8<\/span><\/sub><\/mi>\u03b1<\/span><\/sub><\/mi><\/msub><\/mrow><\/msub>(<\/span><\/mo>x<\/span><\/mi><\/mrow>t<\/span><\/sub><\/mi><\/msub>)<\/span><\/mo><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u5728<\/sub><\/span>\u6295\u5f71<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>y<\/span><\/mi><\/mrow>t<\/span><\/sub><\/mi><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u4e0a\u7684\u5b50\u77e9\u9635\u3002<\/span><\/section>\n

<\/span><\/section>\n
\u7531\u4e8e<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>x<\/span><\/mi><\/mrow><\/mrow>t<\/span><\/sub><\/mi><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u7684\u71b5\u662f\u7531\u6570\u636e\u800c\u5b9a\u7684\uff0cNIS\u7684\u4e92\u4fe1\u606f\u6027\u8d28\u5b9a\u7406\u6307\u51fa <\/span><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-c><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-texatom><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mo><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>|<\/span><\/mo>det<\/span><\/mo>(<\/span><\/mo>J<\/span><\/mi>\u03c8<\/span><\/sub><\/mi>\u03b1<\/span><\/sub><\/mi><\/msub><\/mrow><\/msub>(<\/span><\/mo>x<\/span><\/mi><\/mrow>t<\/span><\/sub><\/mi><\/msub>)<\/span><\/mo>)<\/span><\/mo>|<\/span><\/mo><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u7684\u5bf9\u6570\u7684\u671f\u671b\u4ee5\u53ca<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>y<\/span><\/mi><\/mrow>t<\/span><\/sub><\/mi><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u5fc5\u7136\u5927\u4e8e\u6574\u4e2a\u4fe1\u9053\u7684\u4e92\u4fe1\u606f\u3002<\/span><\/section>\n

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\u56e0\u6b64\uff0c\u82e5<\/sub><\/span>|<\/span><\/mo><\/mrow>det<\/span><\/mo>(<\/span><\/mo>J<\/span><\/mi>\u03c8<\/span><\/sub><\/mi>\u03b1<\/span><\/sub><\/mi><\/msub><\/mrow><\/msub>(<\/span><\/mo>x<\/span><\/mi><\/mrow>t<\/span><\/sub><\/mi><\/msub>)<\/span><\/mo>)<\/span><\/mo>|<\/span><\/mo><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u7684\u521d\u59cb\u503c\u548c<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>y<\/span><\/mi><\/mrow>t<\/span><\/sub><\/mi><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u5f88\u5c0f\uff0c\u968f\u7740\u6a21\u578b\u7684\u8bad\u7ec3\uff0c\u6574\u4e2a\u4fe1\u9053\u7684\u4e92\u4fe1\u606f\u4f1a\u589e\u52a0\uff0c\u6b64\u65f6\u96c5\u53ef\u6bd4\u77e9\u9635\u7684\u884c\u5217\u5f0f\u5fc5\u7136\u589e\u5927\uff0c\u5b8f\u89c2\u6001<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>y<\/span><\/mi><\/mrow>t<\/span><\/sub><\/mi><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u4e5f\u5fc5\u7136\u66f4\u5206\u6563\u3002\u4f46\u82e5\u4fe1\u606f<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mo><\/mjx-over><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-base><\/mjx-mover><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mn><\/mjx-texatom><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>I<\/span><\/mi>(<\/span><\/mo>x<\/span><\/mi><\/mrow>t<\/span><\/sub><\/mi><\/msub>, <\/span><\/mo><\/sub><\/msub><\/mn><\/mrow><\/msub>)<\/span><\/mo><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u5df2\u903c\u8fd1<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mn><\/mjx-texatom><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>I<\/span><\/mi>(<\/span><\/mo>x<\/span><\/mi><\/mrow>t<\/span><\/sub><\/mi><\/msub>; <\/span><\/mo>x<\/span><\/mi><\/mrow>t<\/span><\/sub><\/mi>+<\/span><\/sub><\/mo>1<\/span><\/sub><\/mn><\/mrow><\/msub>)<\/span><\/mo><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\uff0c\u6216<\/sub><\/span>|<\/span><\/mo><\/mrow>det<\/span><\/mo>(<\/span><\/mo>J<\/span><\/mi>\u03c8<\/span><\/sub><\/mi>\u03b1<\/span><\/sub><\/mi><\/msub><\/mrow><\/msub>(<\/span><\/mo>x<\/span><\/mi><\/mrow>t<\/span><\/sub><\/mi><\/msub>)<\/span><\/mo>)<\/span><\/mo>|<\/span><\/mo><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u548c<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>H<\/span><\/mi>(<\/span><\/mo>y<\/span><\/mi><\/mrow>t<\/span><\/sub><\/mi><\/msub>)<\/span><\/mo><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u5df2\u8db3\u591f\u5927\uff0c\u5219\u8fd9\u4e9b\u73b0\u8c61\u53ef\u80fd\u4e0d\u4f1a\u53d1\u751f\u3002<\/span><\/section>\n

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

5.3 \u6709\u6548\u4fe1\u606f\u4e3b\u8981\u7531\u7c97\u7c92\u5316\u51fd\u6570\u51b3\u5b9a<\/span><\/strong><\/span><\/h2>\n

<\/span><\/section>\n
\u6b64\u524d\u5206\u6790\u7684\u662f\u4e92\u4fe1\u606f\u800c\u975e\u5b8f\u89c2\u52a8\u529b\u5b66\u7684\u6709\u6548\u4fe1\u606f<\/span>\uff08\u56e0\u679c\u6d8c\u73b0\u7684\u5173\u952e\u8981\u7d20\uff09<\/span>\u3002\u5b9e\u9645\u4e0a\u53ef\u4ee5\u501f\u52a9\u538b\u7f29\u4fe1\u9053\u7684\u826f\u597d\u5c5e\u6027\u5199\u51faEI\u7684\u5b8f\u89c2\u52a8\u529b\u5b66\u8868\u8fbe\u5f0f\uff0c\u4f46\u8fd9\u4e00\u8868\u8fbe\u5f0f\u6ca1\u6709\u89e3\u6790\u7684\u5f62\u5f0f\u3002\u7531\u6b64\uff0c\u4f5c\u8005\u5f97\u51fa\u786e\u5b9a\u56e0\u679c\u6d8c\u73b0\u7684\u4e3b\u8981\u6210\u5206\u662f\u4f9d\u8d56\u4e8e\u53ef\u9006\u51fd\u6570<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>\u03c8<\/span><\/mi>\u03b1<\/span><\/sub><\/mi><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u7684\u3002<\/span><\/section>\n


<\/span><\/h3>\n

5.3.1 \u5b8f\u89c2\u52a8\u529b\u5b66\u6709\u6548\u4fe1\u606f\u7684\u6570\u5b66\u8868\u8fbe\u5f0f<\/span><\/strong><\/h3>\n

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\u5047\u8bbe\u7ed9\u5b9a<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>x<\/span><\/mi><\/mrow>t<\/span><\/sub><\/mi><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u4e0b<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mn><\/mjx-texatom><\/mjx-script><\/mjx-msub><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>x<\/span><\/mi><\/mrow>t<\/span><\/sub><\/mi>+<\/span><\/sub><\/mo>1<\/span><\/sub><\/mn><\/mrow><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u7684\u6982\u7387\u5bc6\u5ea6\u53ef\u4ee5\u901a\u8fc7\u51fd\u6570<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mn><\/mjx-texatom><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mn><\/mjx-texatom><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>P<\/span><\/mi>r<\/span><\/mi>(<\/span><\/mo>x<\/span><\/mi><\/mrow>t<\/span><\/sub><\/mi>+<\/span><\/sub><\/mo>1<\/span><\/sub><\/mn><\/mrow><\/msub>|<\/span><\/mo><\/mrow>x<\/span><\/mi><\/mrow>t<\/span><\/sub><\/mi><\/msub>)<\/span><\/mo>\u2261<\/span><\/mo>G<\/span><\/mi>(<\/span><\/mo>x<\/span><\/mi><\/mrow>t<\/span><\/sub><\/mi>+<\/span><\/sub><\/mo>1<\/span><\/sub><\/mn><\/mrow><\/msub>,<\/span><\/mo>x<\/span><\/mi><\/mrow>t<\/span><\/sub><\/mi><\/msub>)<\/span><\/mo><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u63cf\u8ff0\uff0c\u4e14\u795e\u7ecf\u4fe1\u606f\u6324\u538b\u6846\u67b6\u8bad\u7ec3\u5145\u5206\uff0c\u5373\u53ef\u901a\u8fc7\u4ee5\u4e0b\u65b9\u5f0f\u8ba1\u7b97<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>f<\/span><\/mi>\u03b2<\/span><\/sub><\/mi><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u7684\u5b8f\u89c2\u52a8\u529b\u5b66\u4fe1\u606f\uff1a<\/span><\/section>\n

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

 (24)<\/span><\/p>\n


<\/span><\/section>\n
\u5176\u4e2d <\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msup><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>\u03c3<\/span><\/mi>\u2261<\/span><\/mo>[<\/span><\/mo>\u2212<\/span><\/mo>L<\/span><\/mi>,<\/span><\/mo>L<\/span><\/mi>]<\/span><\/mo>p<\/span><\/sup><\/mi><\/msup><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> \u662f<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>x<\/span><\/mi><\/mrow><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u4e0e<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mo><\/mjx-script><\/mjx-msup><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>x<\/span><\/mi><\/mrow>\u2032<\/span><\/mo><\/msup><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u7684\u79ef\u5206\u533a\u95f4\uff1b<\/span><\/mjx-c><\/mjx-mi><\/mjx-math>L<\/span><\/mi><\/mjx-assistive-mml><\/mjx-container>\u662fdo\u6210\u5747\u5300\u5206\u5e03\u65f6\uff0c\u5b8f\u89c2\u6001\u533a\u95f4\u7684\u7ebf\u6027\u5c3a\u5ea6\u5927\u5c0f\uff0c\u5b83\u662f\u4e00\u4e2a\u5145\u5206\u5927\u7684\u7ed9\u5b9a\u5e38\u6570\u3002<\/span><\/section>\n


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

5.4 \u4e92\u4fe1\u606f\u968f\u5c3a\u5ea6\u7684\u53d8\u5316<\/span><\/strong><\/span><\/h2>\n

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\u7531\u4fe1\u606f\u74f6\u9888\u7406\u8bba\u4e0e\u4e92\u4fe1\u606f\u7406\u8bba\uff0c\u8bba\u6587[1]\u53ef\u4ee5\u63a8\u51fa\u5982\u4e0b\u63a8\u8bba\uff1a<\/span><\/section>\n

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5.4.1 \u5982\u679c\u6a21\u578b\u8bad\u7ec3\u826f\u597d\uff0c\u5b8f\u89c2\u52a8\u529b\u5b66\u7684\u4e92\u4fe1\u606f\u4e0d\u4f1a\u53d1\u751f\u53d8\u5316<\/span><\/strong><\/h3>\n

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\u5bf9\u4e8e\u8bad\u7ec3\u5145\u5206\u7684NIS\u6a21\u578b\uff0c\u5b8f\u89c2\u52a8\u529b\u5b66<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>f<\/span><\/mi>\u03b2<\/span><\/sub><\/mi><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u7684\u4e92\u4fe1\u606f\u5c06\u4e0e\u6240\u6709\u53c2\u6570<\/span>\uff08\u5305\u62ec\u523b\u5ea6<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>q<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\uff09<\/span>\u65e0\u5173\u3002\u5982\u679c\u795e\u7ecf\u7f51\u7edc\u8bad\u7ec3\u5145\u5206\uff0c\u5219\u6709\u5173\u5b8f\u89c2\u52a8\u529b\u5b66\u7684\u4e92\u4fe1\u606f\u5c06\u63a5\u8fd1\u6570\u636e<\/span><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>{<\/span><\/mo>x<\/span><\/mi><\/mrow>t<\/span><\/sub><\/mi><\/msub>}<\/span><\/mo><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u4e2d\u7684\u4e92\u4fe1\u606f\u3002\u56e0\u6b64\uff0c\u65e0\u8bba<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>q<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u6709\u591a\u5c0f<\/span>\uff08\u6216\u5c3a\u5ea6\u6709\u591a\u5927\uff09<\/span>\uff0c\u5b8f\u89c2\u52a8\u529b\u5b66<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>f<\/span><\/mi>\u03b2<\/span><\/sub><\/mi><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u7684\u4e92\u4fe1\u606f\u90fd\u4f1a\u4fdd\u6301\u6052\u5b9a\u3002<\/span><\/section>\n

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\u7531\u6b64\u53ef\u5f97\uff0c<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>q<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u662f\u56e0\u679c\u6d8c\u73b0\u7684\u65e0\u5173\u53c2\u6570\u3002\u4f46\u6839\u636eEI\u7684\u5b9a\u4e49\uff0c\u8f83\u5c0f\u7684<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>q<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u610f\u5473\u7740\u7f16\u7801\u5668\u5c06\u643a\u5e26\u66f4\u591a\u6709\u6548\u4fe1\u606f\u3002<\/span><\/section>\n


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5.4.2 \u4fe1\u9053\u8d8a\u7a84\u4e92\u4fe1\u606f\u8d8a\u5c0f<\/span><\/strong><\/h3>\n

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\u82e5<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>x<\/span><\/mi><\/mrow>t<\/span><\/sub><\/mi><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u662f<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>p<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u7ef4\u7684\uff0c\u90a3\u4e48\u5bf9\u4e8e <\/span><\/mjx-c><\/mjx-mn><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mn><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mn><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>0<\/span><\/mn><<\/span><\/mo>q<\/span><\/mi><\/mn><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>1<\/span><\/sub><\/mn><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container><\/mn><\/msub><<\/span><\/mo>q<\/span><\/mi><\/mn><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>2<\/span><\/sub><\/mn><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container><\/mn><\/msub><<\/span><\/mo>p<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> \u6709<\/span><\/section>\n

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\u5176\u4e2d<\/span> <\/sub>\u8868\u793a <\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>y<\/span><\/mi><\/mrow>t<\/span><\/sub><\/mi><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> \u7684<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>q<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> \u7ef4\u5411\u91cf\u3002<\/span><\/section>\n

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\u4e92\u4fe1\u606f\u63cf\u8ff0\u4e86\u7f16\u7801\u5668<\/span>\uff08\u5373\u5728\u4e0d\u540c\u7ef4\u5ea6<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>q<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u4e2d\u7684\u5fae\u578b\u72b6\u6001<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>x<\/span><\/mi><\/mrow>t<\/span><\/sub><\/mi><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u548c\u5b8f\u89c2\u72b6\u6001<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>y<\/span><\/mi><\/mrow>t<\/span><\/sub><\/mi><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\uff09<\/span>\u3002\u8be5\u5b9a\u7406\u6307\u51fa\uff0c\u968f\u7740<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>q<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u51cf\u5c0f\uff0c\u7f16\u7801\u5668\u90e8\u5206\u7684\u4e92\u4fe1\u606f\u5fc5\u7136\u51cf\u5c0f\uff0c\u4e14\u5bf9\u4fe1\u606f\u9650\u5236<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mo><\/mjx-over><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-base><\/mjx-mover><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mn><\/mjx-texatom><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mn><\/mjx-texatom><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>I<\/span><\/mi>(<\/span><\/mo>x<\/span><\/mi><\/mrow>t<\/span><\/sub><\/mi><\/msub>; <\/span><\/mo><\/sub><\/msub><\/mn><\/mrow><\/msub>)<\/span><\/mo>\u2243<\/span><\/mo>I<\/span><\/mi>(<\/span><\/mo>x<\/span><\/mi><\/mrow>t<\/span><\/sub><\/mi><\/msub>; <\/span><\/mo>x<\/span><\/mi><\/mrow>t<\/span><\/sub><\/mi>+<\/span><\/sub><\/mo>1<\/span><\/sub><\/mn><\/mrow><\/msub>)<\/span><\/mo><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u66f4\u63a5\u8fd1\u3002\u56e0\u6b64\uff0c\u6574\u4e2a\u4fe1\u9053\u5c06\u66f4\u52a0\u72ed\u7a84\uff0c\u7f16\u7801\u5668\u5fc5\u987b\u643a\u5e26\u66f4\u6709\u7528\u548c\u6709\u6548\u7684\u4fe1\u606f\u624d\u80fd\u8f6c\u79fb\u5230\u5b8f\u89c2\u52a8\u529b\u5b66\uff0c\u9884\u6d4b\u53d8\u5f97\u66f4\u52a0\u56f0\u96be\u3002<\/span><\/section>\n

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6. \u6570\u503c\u5b9e\u9a8c<\/strong><\/span><\/strong><\/strong><\/p>\n<\/section>\n

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


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\u5728\u51e0\u4e2a\u6570\u636e\u96c6\u4e0a\u6d4b\u8bd5NIS<\/span>\uff08\u6240\u6709\u6570\u636e\u5747\u7531\u6a21\u62df\u52a8\u529b\u5b66\u6a21\u578b\u751f\u6210\uff09<\/span>\u3002\u6b64\u6d4b\u8bd5\u8fd8\u5305\u62ec\u8fde\u7eed\u52a8\u529b\u5b66\u548c\u79bb\u6563\u9a6c\u5c14\u53ef\u592b\u52a8\u529b\u5b66\u3002<\/span><\/section>\n


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6.1 \u5e26\u6d4b\u91cf\u566a\u58f0\u7684\u5f39\u7c27\u632f\u8361\u5668<\/span><\/strong><\/span><\/h2>\n


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\u632f\u8361\u5668\u7b26\u5408\u5982\u4e0b\u52a8\u529b\u5b66\u65b9\u7a0b\u7ec4\uff1a<\/span><\/section>\n

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\u5176\u4e2d<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>z<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u548c<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>v<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u5206\u522b\u662f\u632f\u8361\u5668\u7684\u4e00\u7ef4\u4f4d\u7f6e\u4e0e\u901f\u5ea6\u3002\u5b9a\u4e49\u7cfb\u7edf\u72b6\u6001<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>x<\/span><\/mi><\/mrow>=<\/span><\/mo>(<\/span><\/mo>z<\/span><\/mi>,<\/span><\/mo>v<\/span><\/mi>)<\/span><\/mo><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u3002<\/span><\/section>\n

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\u5b9e\u9a8c\u6570\u636e\u4ec5\u7531\u4e24\u4e2a\u5e26\u8bef\u5dee\u7684\u4f20\u611f\u5668\u83b7\u5f97\u3002\u5047\u8bbe\u89c2\u6d4b\u6a21\u578b\u4e3a<\/span><\/section>\n

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\u5176\u4e2d<\/span><\/sub>\u662f\u7b26\u5408\u4e8c\u7ef4\u9ad8\u65af\u5206\u5e03\u7684\u968f\u673a\u6570\u503c\uff0c<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>\u03c3<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> \u662f\u4f4d\u7f6e\u4e0e\u901f\u5ea6\u6807\u51c6\u5dee\u7684\u5411\u91cf\u3002\u5c06\u72b6\u6001<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>x<\/span><\/mi><\/mrow><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u7406\u89e3\u4e3a\u6f5c\u5728\u5b8f\u89c2\u72b6\u6001\uff0c\u6d4b\u91cf\u5fae\u89c2\u72b6\u6001<\/span><\/sub><\/mn><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u3002NIS\u4ece\u6d4b\u91cf\u503c\u4e2d\u6062\u590d\u6f5c\u5728\u7684\u5b8f\u89c2\u6001<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-math>x<\/span><\/mi><\/mrow>t<\/span><\/sub><\/mi><\/msub><\/mjx-assistive-mml><\/mjx-container>\u3002<\/span><\/section>\n

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\u6839\u636e\u5f0f27\uff0c\u5f71\u54cd\u72b6\u6001\u6d4b\u91cf\u7684\u566a\u97f3\u53ef\u4ee5\u901a\u8fc7\u53e0\u52a0\u4e24\u901a\u9053\u7684\u6570\u636e\u6d88\u9664\u3002\u56e0\u6b64\uff0c\u5982\u679c\u5728NIS\u4e2d\u8f93\u5165\u4e24\u4e2a\u6d4b\u91cf\u503c\u7684\u5b8f\u89c2\u72b6\u6001\uff0c\u5219\u53ef\u7b80\u5355\u5730\u83b7\u5f97\u6b63\u786e\u7684\u52a8\u529b\u5b66\u3002\u4f7f\u7528Euler\u65b9\u6cd5\uff08<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mn><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>d<\/span><\/mi>t<\/span><\/mi>=<\/span><\/mo>1<\/span><\/mn><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\uff09\u91c7\u6837<\/span><\/mjx-c><\/mjx-c><\/mjx-mn><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-c><\/mjx-c><\/mjx-mn><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>10<\/span><\/mn>,<\/span><\/mo>000<\/span><\/mn><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u6279\u6279\u6b21\u7684\u6570\u636e\uff0c\u5e76\u5728\u6bcf\u4e2a\u6279\u6b21\u4e2d\u751f\u6210100\u4e2a\u968f\u673a\u521d\u59cb\u72b6\u6001\u5e76\u6267\u884c\u4e00\u4e2a\u6b65\u9aa4\u52a8\u529b\u5b66\uff0c\u6c42\u5f97\u4e0b\u4e00\u4e2a\u65f6\u95f4\u6b65\u957f\u4e2d\u7684\u72b6\u6001\u3002\u4f7f\u7528\u8fd9\u4e9b\u6570\u636e\u6765\u8bad\u7ec3\u795e\u7ecf\u7f51\u7edc\uff0c\u540c\u65f6\u4f7f\u7528\u76f8\u540c\u7684\u6570\u636e\u96c6\u6765\u8bad\u7ec3\u5177\u6709\u76f8\u540c\u6570\u91cf\u53c2\u6570\u7684\u666e\u901a\u524d\u9988\u795e\u7ecf\u7f51\u7edc\u4ee5\u4f5c\u6bd4\u8f83\u3002\u7ed3\u679c\u5982\u4e0b\u56fe\u6240\u793a\u3002<\/span><\/section>\n

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\u4e0b\u4e00\u7ec4\u5b9e\u9a8c\u7ed3\u679c\u9a8c\u8bc1NIS\u57fa\u672c\u6027\u8d28\u7684\u5b9a\u7406\u548c\u4fe1\u606f\u74f6\u9888\u7406\u8bba\u3002\u5f53 q \u53d6\u4e0d\u540c\u503c\u65f6\uff0c<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mn><\/mjx-texatom><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>I<\/span><\/mi>(<\/span><\/mo>x<\/span><\/mi><\/mrow>t<\/span><\/sub><\/mi><\/msub>, <\/span><\/mo>x<\/span><\/mi><\/mrow>t<\/span><\/sub><\/mi>+<\/span><\/sub><\/mo>1<\/span><\/sub><\/mn><\/mrow><\/msub>)<\/span><\/mo><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u3001<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mn><\/mjx-texatom><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>I<\/span><\/mi>(<\/span><\/mo>y<\/span><\/mi><\/mrow>t<\/span><\/sub><\/mi><\/msub>, <\/span><\/mo>y<\/span><\/mi><\/mrow>t<\/span><\/sub><\/mi>+<\/span><\/sub><\/mo>1<\/span><\/sub><\/mn><\/mrow><\/msub>)<\/span><\/mo><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u548c<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mo><\/mjx-over><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-base><\/mjx-mover><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mo><\/mjx-over><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-base><\/mjx-mover><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mn><\/mjx-texatom><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>I<\/span><\/mi>(<\/span><\/mo> <\/mo><\/sub><\/msub><\/msub>,<\/span><\/mi><\/msub> <\/span><\/mo><\/sub><\/msub><\/msub><\/mn><\/mrow><\/msub>)<\/span><\/mo><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u7684\u4e92\u4fe1\u606f\u968f\u8fed\u4ee3\u6b21\u6570\u7684\u53d8\u5316\u60c5\u51b5\uff0c\u5982\u4e0a\u56fe(c)(d)\u6240\u793a\uff0c\u5176\u4e2d\u6240\u6709\u7684\u4e92\u4fe1\u606f\u7684\u6536\u655b\u5747\u7b26\u5408NIS\u8bad\u7ec3\u8fc7\u7a0b\u4e2d\u6709\u6548\u4fe1\u606f\u7684\u53d8\u5316\u5b9a\u7406\u3002\u540c\u65f6\u7ed8\u5236\u4e0d\u540c <\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>q<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> \u4e0b\u7684 <\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>x<\/span><\/mi><\/mrow>t<\/span><\/sub><\/mi><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> \u548c <\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>y<\/span><\/mi><\/mrow>t<\/span><\/sub><\/mi><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> \u4e4b\u95f4\u7684\u4e92\u4fe1\u606f\u6765\u68c0\u9a8c\u4fe1\u9053\u4e0e\u4e92\u4fe1\u606f\u7684\u5173\u7cfb\u3002\u5982\u4e0a\u56fea\u90e8\u5206\u6240\u793a\uff0c\u5f53 <\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>q<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> \u589e\u52a0\u65f6\uff0c\u4e92\u4fe1\u606f\u589e\u52a0\u3002<\/span><\/section>\n

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\u6839\u636e\u4fe1\u606f\u74f6\u9888\u7406\u8bba[17]\uff0c\u5728\u8bad\u7ec3\u521d\u671f\u5b8f\u89c2\u53d8\u91cf\u548c\u8f93\u51fa\u4e4b\u95f4\u7684\u4e92\u4fe1\u606f\u53ef\u80fd\u4f1a\u589e\u52a0\uff0c\u4e14\u8f93\u5165\u548c\u5b8f\u89c2\u53d8\u91cf\u4e4b\u95f4\u7684\u4fe1\u606f\u5fc5\u7136\u5728\u589e\u52a0\u540e\u968f\u7740\u8bad\u7ec3\u8fc7\u7a0b\u7684\u8fdb\u884c\u800c\u51cf\u5c11\u3002NIS \u6a21\u578b\u8bc1\u5b9e\u4e86\u8fd9\u4e00\u7ed3\u8bba<\/span>\uff08\u4e0a\u56feb\u90e8\u5206\uff09<\/span>\uff0c\u5176\u4e2d\u5b8f\u89c2\u72b6\u6001 <\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>y<\/span><\/mi><\/mrow>t<\/span><\/sub><\/mi><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> \u548c\u9884\u6d4b <\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mn><\/mjx-texatom><\/mjx-script><\/mjx-msub><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>y<\/span><\/mi><\/mrow>t<\/span><\/sub><\/mi>+<\/span><\/sub><\/mo>1<\/span><\/sub><\/mn><\/mrow><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> \u90fd\u662f\u5b8f\u89c2\u53d8\u91cf\u3002\u7531\u4e8e <\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>y<\/span><\/mi><\/mrow>t<\/span><\/sub><\/mi><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> \u548c <\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mn><\/mjx-c><\/mjx-mo><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>y<\/span><\/mi><\/mrow>(<\/span><\/mo>t<\/span><\/mi>+<\/span><\/mo>1<\/span><\/mn>)<\/span><\/mo><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> \u662f\u74f6\u9888\uff0c\u800c\u6240\u6709\u5176\u4ed6\u65e0\u5173\u4fe1\u606f\u90fd\u88ab\u53d8\u91cf <\/span><\/sub><\/mo><\/msubsup><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> \u5f03\u7528\uff0c\u5728\u5f97\u5230\u76f8\u540c\u7ed3\u8bba\u7684\u60c5\u51b5\u4e0b\uff0cNIS\u6a21\u578b\u7684\u67b6\u6784\u53ef\u4ee5\u6bd4\u4e00\u822c\u7684\u795e\u7ecf\u7f51\u7edc\u66f4\u6e05\u695a\u5730\u53cd\u6620\u4fe1\u606f\u74f6\u9888\u3002<\/span><\/section>\n

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6.2 \u7b80\u5355\u9a6c\u5c14\u53ef\u592b\u94fe<\/span><\/strong><\/span><\/h2>\n

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\u672c\u6848\u4f8b\u5c55\u793aNIS\u4f5c\u7528\u4e8e\u79bb\u6563\u9a6c\u5c14\u53ef\u592b\u94fe\u3001\u7c97\u7c92\u5316\u7b56\u7565\u53ef\u4ee5\u4f5c\u7528\u4e8e\u72b6\u6001\u7a7a\u95f4\u7684\u8fc7\u7a0b\u3002\u751f\u6210\u6570\u636e\u7684\u9a6c\u5c14\u53ef\u592b\u94fe\u662f\u4ee5\u4e0b\u6982\u7387\u8f6c\u79fb\u77e9\u9635\uff1a<\/span><\/section>\n

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\u8be5\u7cfb\u7edf\u6709 8 \u4e2a\u72b6\u6001\uff0c\u5176\u4e2d\u524d7\u4e2a\u72b6\u6001\u4e4b\u95f4\u53ef\u4ee5\u76f8\u4e92\u8f6c\u79fb\uff0c\u6700\u540e\u4e00\u4e2a\u72b6\u6001\u662f\u72ec\u7acb\u7684\u3002NIS\u6a21\u578b\u4f7f\u7528\u4e00\u4e2a one-hot \u5411\u91cf\u7f16\u7801\u72b6\u6001<\/span>\uff08\u4f8b\u5982\u72b6\u60012\u5c06\u8868\u793a\u4e3a (0,1,0,0,0,0,0,0)\uff09<\/span>\u3002\u5bf9\u521d\u59cb\u72b6\u6001\u8fdb\u884c50,000\u4e2a\u6279\u6b21\u7684\u91c7\u6837\u4ee5\u751f\u6210\u6570\u636e\uff0c\u7136\u540e\u5c06 one-hot \u5411\u91cf\u8f93\u5165 NIS \u6846\u67b6\uff0c\u7ecf\u8fc750,000\u4e2a\u8fed\u4ee3\u8f6e\u6b21\u7684\u8bad\u7ec3\u540e\u53ef\u4ee5\u5f97\u5230\u4e00\u4e2a\u6709\u6548\u7684\u6a21\u578b\u3002\u7ed3\u679c\u5982\u4e0a\u56fe\u6240\u793a\u3002<\/span><\/section>\n

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\u901a\u8fc7\u7cfb\u7edf\u5730\u641c\u7d22\u4e0d\u540c\u7684 <\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>q<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> \u53ef\u4ee5\u53d1\u73b0\u7ef4\u5ea6\u5e73\u5747\u56e0\u679c\u6d8c\u73b0<\/span>\uff08dCE\uff09<\/span>\u5728 <\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mn><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>q<\/span><\/mi>=<\/span><\/mo>1<\/span><\/mn><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> \u5904\u8fbe\u5230\u5cf0\u503c<\/span>\uff08\u4e0a\u56fea\u90e8\u5206\uff09<\/span>\u3002\u53ef\u4ee5\u901a\u8fc7\u4e0a\u56feb\u90e8\u5206\u53ef\u89c6\u5316\u5728\u6700\u4f73\u5c3a\u5ea6\u4e0a\u7684\u7c97\u7c92\u5316\u7b56\u7565\uff0c\u5176\u4e2d <\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>x<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> \u5750\u6807\u662f\u4e0d\u540c\u72b6\u6001\u7684\u5341\u8fdb\u5236\u7f16\u7801\uff0c<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>y<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> \u5750\u6807\u8868\u793a\u5b8f\u89c2\u72b6\u6001\u7684\u7f16\u7801\u3002\u7c97\u7c92\u5316\u6620\u5c04\u6210\u529f\u5730\u5c06\u524d\u4e03\u4e2a\u72b6\u6001\u5206\u7c7b\u4e3a\u4e00\u4e2a\u5b8f\u89c2\u72b6\u6001\uff0c\u540c\u65f6\u4fdd\u6301\u6700\u540e\u4e00\u4e2a\u72b6\u6001\u4e0d\u53d8\u3002\u8fd9\u79cd\u5b66\u4e60\u5230\u7684\u7c97\u7c92\u5316\u7b56\u7565\u4e0e\u6587\u732e[14]\u4e2d\u7684\u793a\u4f8b\u76f8\u540c\u3002<\/span><\/section>\n

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\u5c06\u5b66\u4e60\u5230\u7684\u5b8f\u89c2\u52a8\u529b\u5b66\u53ef\u89c6\u5316<\/span>\uff08\u4e0a\u56fec\u90e8\u5206\uff09<\/span>\u3002 <\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mn><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>y<\/span><\/mi>t<\/span><\/sub><\/mi><\/msub><<\/span><\/mo>0<\/span><\/mn><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> \u65f6\u5b8f\u89c2\u52a8\u529b\u5b66\u662f\u4e00\u4e2a\u7ebf\u6027\u6620\u5c04\uff0c<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mn><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>y<\/span><\/mi>t<\/span><\/sub><\/mi><\/msub>><\/span><\/mo>0<\/span><\/mn><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> \u65f6\u5b83\u53ef\u88ab\u89c6\u4e3a\u4e00\u4e2a\u5e38\u6570\u3002\u56e0\u6b64\uff0c\u8be5\u52a8\u529b\u5b66\u53ef\u4ee5\u4fdd\u8bc1\u6240\u6709\u524d\u4e03\u4e2a\u5fae\u89c2\u72b6\u6001\u90fd\u53ef\u4ee5\u4e0e\u6700\u540e\u4e00\u4e2a\u72b6\u6001\u5206\u79bb\u3002\u4e0a\u56fed\u90e8\u5206\u9a8c\u8bc1\u4e86\u4fe1\u606f\u538b\u7f29\u7684\u4fe1\u606f\u74f6\u9888\u5b9a\u7406\uff0c\u5373\u5b8f\u89c2\u52a8\u529b\u5b66 <\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-texatom><\/mjx-script><\/mjx-msub><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>f<\/span><\/mi>\u03d5<\/span><\/sub><\/mi>q<\/span><\/sub><\/mi><\/msub><\/mrow><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> \u7684\u4e92\u4fe1\u606f\u4e0e\u6574\u4e2a\u52a8\u529b\u5b66\u6a21\u578b\u76f8\u540c\u3002<\/span><\/section>\n

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6.3 \u7b80\u5355\u5e03\u5c14\u7f51\u7edc<\/span><\/strong><\/span><\/h2>\n

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\u5e03\u5c14\u7f51\u7edc\u662f\u79bb\u6563\u52a8\u529b\u7cfb\u7edf\u7684\u5178\u578b\u4f8b\u5b50\uff0c\u5176\u4e2d\u6bcf\u4e2a\u8282\u70b9\u6709\u4e24\u79cd\u53ef\u80fd\u7684\u72b6\u6001<\/span>\uff080 \u6216 1\uff09<\/span>\uff0c\u4e14\u8282\u70b9\u72b6\u6001\u53d7\u5176\u76f8\u90bb\u8282\u70b9\u72b6\u6001\u7684\u5f71\u54cd\u3002\u8be5\u7f51\u7edc\u7684\u5fae\u89c2\u673a\u5236\u5982\u4e0b\uff1a\u4e0a\u56fe\u662f\u4e00\u4e2a\u5305\u542b\u56db\u4e2a\u8282\u70b9\u7684\u5e03\u5c14\u7f51\u7edc\u7684\u793a\u4f8b\uff0c\u6bcf\u4e2a\u8282\u70b9\u7684\u72b6\u6001\u53d7\u5230\u5176\u76f8\u90bb\u8282\u70b9\u72b6\u6001\u7ec4\u5408\u7684\u6982\u7387\u5f71\u54cd\uff0c\u5177\u4f53\u6982\u7387\u89c1\u4e0a\u56fe\u4e2d\u7684\u8868\u683c\u3002\u5c06\u6240\u6709\u8282\u70b9\u7684\u673a\u5236\u7ed3\u5408\u540e\uff0c\u53ef\u4ee5\u5f97\u5230\u4e00\u4e2a\u5177\u6709 <\/span><\/mjx-c><\/mjx-mn><\/mjx-c><\/mjx-mn><\/mjx-script><\/mjx-msup><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-c><\/mjx-mn><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>2<\/span><\/mn>4<\/span><\/sup><\/mn><\/msup>=<\/span><\/mo>16<\/span><\/mn><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> \u4e2a\u72b6\u6001\u7684\u9a6c\u5c14\u53ef\u592b\u8f6c\u79fb\u77e9\u9635\u3002 <\/span><\/section>\n

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\u901a\u8fc7\u5bf9\u6574\u4e2a\u7f51\u7edc\u8fdb\u884c 50,000 \u6b21\u72b6\u6001\u8f6c\u6362\u7684\u91c7\u6837\uff0c\u5c06\u8fd9\u4e9b\u6570\u636e\u8f93\u5165 NIS \u6a21\u578b\u3002\u901a\u8fc7\u7cfb\u7edf\u641c\u7d22\u4e0d\u540c\u7684 <\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>q<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> \u503c\uff0c\u53d1\u73b0\u7ef4\u5ea6\u5e73\u5747\u56e0\u679c\u6d8c\u73b0\u5cf0\u503c\u51fa\u73b0\u5728 q = 1 \u5904<\/span>\uff08\u4e0a\u56fea\u90e8\u5206\uff09<\/span>\u3002\u53ef\u89c6\u5316\u7ed3\u679c\u663e\u793a\u51fa\u7c97\u7c92\u5316\u7b56\u7565<\/span>\uff08\u4e0a\u56feb\u90e8\u5206\uff09<\/span>\uff0c\u5176\u4e2d <\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>x<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> \u5750\u6807\u662f\u5fae\u89c2\u72b6\u6001\u7684\u5341\u8fdb\u5236\u7f16\u7801\uff0c<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>y<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> \u5750\u6807\u8868\u793a\u5b8f\u89c2\u72b6\u6001\u7684\u7f16\u7801\u3002\u6570\u636e\u70b9\u6839\u636e\u5176 <\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>y<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> \u503c\u53ef\u4ee5\u6e05\u6670\u5730\u5206\u4e3a\u56db\u4e2a\u7c07\uff0c\u8fd9\u8868\u660e NIS \u7f51\u7edc\u53d1\u73b0\u4e86\u56db\u4e2a\u79bb\u6563\u7684\u5b8f\u89c2\u72b6\u6001\u300216 \u4e2a\u5fae\u89c2\u72b6\u6001\u4e0e\u56db\u4e2a\u5b8f\u89c2\u72b6\u6001\u4e4b\u95f4\u5b58\u5728\u4e00\u4e00\u5bf9\u5e94\u5173\u7cfb\u3002\u7136\u800c\uff0cNIS \u7b97\u6cd5\u5728\u5904\u7406\u6b64\u95ee\u9898\u65f6\u5e76\u4e0d\u77e5\u9053\u4efb\u4f55\u5148\u9a8c\u4fe1\u606f\uff0c\u5305\u62ec\u8282\u70b9\u5206\u7ec4\u65b9\u6cd5\u3001\u7c97\u7c92\u5316\u7b56\u7565\u548c\u52a8\u529b\u5b66\u4fe1\u606f\u3002\u8fd9\u4e2a\u793a\u4f8b\u9a8c\u8bc1\u4e86\u4fe1\u606f\u74f6\u9888\u7406\u8bba<\/span>\uff08NIS\u4e2d\u5b8f\u89c2\u52a8\u529b\u5b66 <\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mi><\/mjx-script><\/mjx-msub><\/mjx-texatom><\/mjx-script><\/mjx-msub><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>f<\/span><\/mi>\u03d5<\/span><\/sub><\/mi>q<\/span><\/sub><\/mi><\/msub><\/mrow><\/msub><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container> \u7684\u4e92\u4fe1\u606f\u4e0e\u6574\u4e2a\u52a8\u529b\u5b66\u6a21\u578b\u76f8\u540c\uff09<\/span>\u4e0e\u4fe1\u9053\u4e92\u4fe1\u606f\u4e4b\u95f4\u7684\u5173\u7cfb<\/span>\uff08\u4e0a\u56fec, d\u90e8\u5206\uff09<\/span>\u3002<\/span><\/section>\n

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7. \u6709\u6548\u4fe1\u606f\u7684\u5ea6\u91cf<\/strong><\/span><\/strong><\/strong><\/p>\n<\/section>\n

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\u672c\u90e8\u5206\u5728\u6709\u6548\u4fe1\u606f\u8bcd\u6761\u4e2d\u6709\u8be6\u7ec6\u63cf\u8ff0\uff0c\u4e3aNIS\u6846\u67b6\u89e3\u51b3\u7684\u95ee\u9898\u4e4b\u4e00\u3002<\/span><\/section>\n

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\u5bf9\u4e8e\u524d\u9988\u795e\u7ecf\u7f51\u7edc, \u5176EI\u7684\u8ba1\u7b97\u6709\u4e00\u4e9b\u4e0d\u5408\u7406\u4e4b\u5904\uff1a\u9996\u5148EI\u7684\u8ba1\u7b97\u7ed3\u679c\u5c06\u4f1a\u53d7\u5230L\u7684\u4e25\u91cd\u5f71\u54cd\uff1b\u5176\u6b21\uff0c\u5982\u679c\u8ba1\u7b97\u5f52\u4e00\u5316\u7684EI\uff0c\u5373Eff\uff0c\u90a3\u4e48\u4f1a\u9047\u5230\u4e00\u4e2a\u95ee\u9898\uff1a\u5bf9\u4e8e\u8fde\u7eed\u53d8\u91cf\u6765\u8bf4\uff0c\u5176\u72b6\u6001\u7a7a\u95f4\u7684\u5143\u7d20\u4e2a\u6570\u4e3a\u65e0\u7a77\u591a\u4e2a\uff0c\u5982\u679c\u76f4\u63a5\u4f7f\u7528\uff0c\u52bf\u5fc5\u4f1a\u5f15\u5165\u65e0\u7a77\u5927\u91cf\u3002<\/span><\/section>\n

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\u6b64\u95ee\u9898\u7684\u89e3\u51b3\u65b9\u6848\u662f\uff0c\u7528\u72b6\u6001\u7a7a\u95f4\u7ef4\u6570\u6765\u5f52\u4e00\u5316EI\uff0c\u4ece\u800c\u89e3\u51b3\u8fde\u7eed\u72b6\u6001\u53d8\u91cf\u4e0a\u7684EI\u6bd4\u8f83\u95ee\u9898\uff0c\u8fd9\u4e00\u6307\u6807\u88ab\u79f0\u4e3a\u7ef4\u5ea6\u5e73\u5747\u7684\u6709\u6548\u4fe1\u606f<\/strong><\/span>\uff08Dimension Averaged Effective Information\uff0c\u7b80\u79f0dEI\uff09<\/span>\u3002\u5728\u79bb\u6563\u7684\u72b6\u6001\u7a7a\u95f4\u4e2d\uff0c\u7ef4\u5ea6\u5e73\u5747<\/strong>\u7684EI<\/strong>\u548c\u6709\u6548\u6027\u6307\u6807<\/strong><\/span>\uff08Eff\uff09<\/span>\u5b9e\u9645\u4e0a\u662f\u7b49\u4ef7\u7684\u3002\u5728\u8fd9\u4e00\u5b9a\u4e49\u4e2dL\u5e76\u672a\u6d88\u5931\uff0c\u4f46\u5728\u8ba1\u7b97\u7ef4\u5ea6\u5e73\u5747\u7684\u56e0\u679c\u6d8c\u73b0<\/strong>\u65f6\uff0c\u5c3d\u7ba1\u5728\u671f\u671b\u4e2d\u4ecd\u7136\u9690\u542b\u5730\u5305\u542bL\uff0c\u4f46\u6240\u6709\u663e\u542bL\u7684\u9879\u5c31\u90fd\u88ab\u6d88\u5931\u4e86\u3002\u8fd9\u5c31\u5c55\u793a\u51fa\u6765\u5f15\u5165\u7ef4\u5ea6\u5e73\u5747EI\u7684\u4e00\u5b9a\u7684\u5408\u7406\u6027\u3002<\/span><\/section>\n

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

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8.1 NIS\u7684\u4f18\u70b9<\/span><\/strong><\/span><\/h3>\n

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NIS<\/span>\uff08\u795e\u7ecf\u4fe1\u606f\u538b\u7f29\u5668\uff09<\/span>\u662f\u4e00\u79cd\u65b0\u7684\u795e\u7ecf\u7f51\u7edc\u6846\u67b6\uff0c\u53ef\u88ab\u7528\u4e8e\u53d1\u73b0\u65f6\u95f4\u5e8f\u5217\u6570\u636e\u4e2d\u7684\u7c97\u7c92\u5316\u7b56\u7565\u3001\u5b8f\u89c2\u52a8\u529b\u5b66\u548c\u6d8c\u73b0\u7684\u56e0\u679c\u5173\u7cfb\u3002NIS\u4e2d\u53ef\u9006\u795e\u7ecf\u7f51\u7edc\u7684\u4f7f\u7528\u901a\u8fc7\u5728\u7f16\u7801\u5668\u548c\u89e3\u7801\u5668\u4e4b\u95f4\u5171\u4eab\u53c2\u6570\u6765\u51cf\u5c11\u53c2\u6570\u6570\u91cf\uff0c\u4e14\u4f7f\u5f97\u5206\u6790 NIS \u67b6\u6784\u7684\u6570\u5b66\u7279\u6027\u66f4\u52a0\u65b9\u4fbf\u3002\u901a\u8fc7\u7ea6\u675f\u7c97\u7c92\u5316\u7b56\u7565\u6765\u9884\u6d4b\u672a\u6765\u5fae\u89c2\u72b6\u6001\u4ece\u800c\u8ba9\u8bef\u5dee\u5c0f\u4e8e\u4e00\u5b9a\u7cbe\u5ea6\u9608\u503c\uff0c\u4ece\u800c\u5b9a\u4e49\u6709\u6548\u7684\u7c97\u7c92\u5316\u7b56\u7565\u548c\u5b8f\u89c2\u52a8\u529b\u5b66\uff0c\u5e76\u63a8\u51fa\u56e0\u679c\u6d8c\u73b0\u8bc6\u522b\u95ee\u9898\u53ef\u4ee5\u7406\u89e3\u4e3a\u5728\u7ea6\u675f\u6761\u4ef6\u4e0b\u6700\u5927\u5316\u6709\u6548\u4fe1\u606f\u7684\u95ee\u9898\u3002<\/span><\/section>\n

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8.2 NIS\u7684\u7f3a\u70b9<\/strong><\/span><\/h3>\n

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NIS\u6846\u67b6\u7684\u5f31\u70b9\u5982\u4e0b\u3002<\/span><\/p>\n

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    \u7531\u4e8e\u53ef\u9006\u795e\u7ecf\u7f51\u7edc\u5f88\u96be\u5728\u5927\u6570\u636e\u96c6\u4e0a\u8bad\u7ec3\uff0c\u5b83\u53ea\u80fd\u5728\u5c0f\u6570\u636e\u96c6\u4e0a\u5de5\u4f5c\uff0c\u76ee\u524d\u7684\u6570\u503c\u5b9e\u9a8c\u4e5f\u96c6\u4e2d\u5728\u5f39\u7c27\u632f\u5b50\u548c\u7b80\u5355\u5e03\u5c14\u7f51\u7edc\u7b49\u73af\u5883\u4e0b\uff1b<\/span><\/p>\n<\/li>\n

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    \u8be5\u6846\u67b6\u4ecd\u7136\u7f3a\u4e4f\u53ef\u89e3\u91ca\u6027[18]\uff1b<\/span><\/p>\n<\/li>\n

  • \n

    NIS\u5e76\u672a\u771f\u6b63\u5730\u6700\u5927\u5316\u6709\u6548\u4fe1\u606f\uff1b<\/span><\/p>\n<\/li>\n

  • \n
    \u8be5\u6a21\u578b\u53ef\u9884\u6d4b\u7684\u6761\u4ef6\u5206\u5e03\u4ec5\u9650\u4e8e\u9ad8\u65af\u6216\u62c9\u666e\u62c9\u65af\u5206\u5e03\u3002<\/span><\/section>\n<\/li>\n<\/ul>\n


    <\/span><\/h3>\n

    8.3 \u672a\u6765\u5c55\u671b\uff1aNIS+\u6846\u67b6<\/span><\/strong><\/span><\/h3>\n

    <\/span><\/section>\n
    \u4e3a\u89e3\u51b3\u8fd9\u4e9b\u95ee\u9898\uff0c\u4eceNIS\u6846\u67b6\u51fa\u53d1\u63d0\u51faNIS+\u6846\u67b6\u3002\u5728NIS\u7684\u57fa\u7840\u4e0a\uff0cNIS+\u6846\u67b6\u8fd0\u7528\u4e86\u91cd\u52a0\u6743\u6280\u672f\uff0c\u6dfb\u52a0\u4e86\u53cd\u5411\u52a8\u529b\u5b66\u3001\u7531\u6b64\u4ea7\u751f\u4e00\u4e2a\u65b0\u7684\u635f\u5931\u51fd\u6570\uff0c\u5e76\u5bf9\u4e24\u4e2a\u635f\u5931\u51fd\u6570\u8fdb\u884c\u52a0\u6743\u3002\u5176\u4e2d\uff0c\u65b0\u7684\u635f\u5931\u51fd\u6570\u4ea7\u751f\u4e8e\u795e\u7ecf\u7f51\u6846\u67b6\u4e2d\u6dfb\u52a0\u7684\u90e8\u5206\uff1a\u901a\u8fc7\u5bf9<\/span><\/mjx-c><\/mjx-mi><\/mjx-c><\/mjx-mo><\/mjx-c><\/mjx-mn><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>t<\/span><\/mi>+<\/span><\/mo>1<\/span><\/mn><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u65f6\u523b\u518d\u6b21\u7f16\u7801\uff0c\u5728\u5b8f\u89c2\u4e0a\u6765\u8bad\u7ec3\u4e00\u4e2a\u53cd\u5411\u52a8\u529b\u5b66\u6765\u53bb\u9884\u6d4b<\/span><\/mjx-c><\/mjx-mi><\/mjx-texatom><\/mjx-mstyle><\/mjx-math>t<\/span><\/mi><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u65f6\u523b\u7684\u4e00\u4e2a<\/span><\/sub><\/span><\/mo><\/mrow><\/mstyle><\/mjx-assistive-mml><\/mjx-container>\u3002\u5c06\u65b0\u7684\u635f\u5931\u51fd\u6570\u4e0eNIS\u6846\u67b6\u4e2d\u539f\u6709\u7684\u635f\u5931\u51fd\u6570\u52a0\u6743\uff0c\u53ef\u4ee5\u6700\u5927\u5316\u6709\u6548\u4fe1\u606f\u7684\u53d8\u5206\u4e0b\u754c\uff0c\u89e3\u51b3\u4e86NIS\u6846\u67b6\u65e0\u6cd5\u76f4\u63a5\u6700\u5927\u5316EI\u7684\u95ee\u9898\u3002<\/span><\/section>\n

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

    <\/span><\/section>\n
    \u53c2\u8003\u6587\u732e<\/strong><\/span><\/section>\n
    1. Zhang, J.; Liu, K. Neural Information Squeezer for Causal Emergence. Entropy 2023, 25, 26.<\/span><\/section>\n
    2. Hoel, E.P.; Albantakis, L.; Tononi, G. Quantifying causal emergence shows that macro can beat micro. Proc. Natl. Acad. Sci. USA 2013, 110, 19790\u201319795.<\/span><\/section>\n
    3. Rosas, F.E.; Mediano, P.A.M.; Jensen, H.J.; Seth, A.K.; Barrett, A.B.; Carhart-Harris, R.L.; Bor, D. Reconciling emergences: An information-theoretic approach to identify causal emergence in multivariate data. PLoS Comput. Biol. 2020, 16, e1008289.<\/span><\/section>\n
    4. Silver, D.; Schrittwieser, J.; Simonyan, K.; Antonoglou, I.; Huang, A.; Guez, A.; Hubert, T.; Baker, L.; Lai, M.; Bolton, A.; et al. Mastering the game of Go without human knowledge. Nature 2017, 550, 354\u2013359.<\/span><\/section>\n
    5. LeCun,Y.; Bengio, Y.; Hinton, G. Deep learning. Nature 2015, 521, 436\u2013444.<\/span><\/section>\n
    6. Reichstein, M.; Camps-Valls, G.; Stevens, B.; Jung, M.; Denzler, J.; Carvalhais, N. Deep learning and process understanding for data-driven Earth system science. Nature 2019, 566, 195\u2013204.<\/span><\/section>\n
    7. Senior, A.W.; Evans, R.; Jumper, J.; Kirkpatrick, J.; Sifre, L.; Green, T.; Qin, C.; \u017d\u00eddek, A.; Nelson, A.W.R.; Bridgland, A.; et al. Improved protein structure prediction using potentials from deep learning. Nature 2020, 577, 706\u2013710.<\/span><\/section>\n
    8. Beckers, S.; Eberhardt, F.; Halpern, J.Y. Approximate Causal Abstraction. arXiv 2019, arXiv:1906.11583v2.<\/span><\/section>\n
    9. Zhang, Jiang. \u201cNeural Information Squeezer for Causal Emergence.\u201d ArXiv (Cornell University), 1 Jan. 2022, https:\/\/doi.org\/10.48550\/arxiv.2201.10154.<\/span><\/section>\n
    10. Li, S.H.; Wang, L. Neural Network Renormalization Group. Phys. Rev. Lett. 2018, 121, 260601.<\/span><\/section>\n
    11. Hu,H.; Wu,D.; You, Y.Z.; Olshausen, B.; Chen, Y. RG-Flow: A hierarchical and explainable flow model based on renormalization group and sparse prior. Mach. Learn. Sci. Technol. 2022, 3, 035009.<\/span><\/section>\n
    12. Teshima, T.; Ishikawa, I.; Tojo, K.; Oono, K.; Ikeda, M.; Sugiyama, M. Coupling-based invertible neural networks are universal diffeomorphism approximators. Adv. Neural Inf. Process. Syst. 2020, 33, 3362\u20133373.<\/span><\/section>\n
    13. Teshima, T.; Tojo, K.; Ikeda, M.; Ishikawa, I.; Oono, K. Universal approximation property of neural ordinary differential equations. arXiv 2017, arXiv:2012.02414.<\/span><\/section>\n
    14. Dinh, L.; Sohl-Dickstein, J.; Bengio, S. Density estimation using real nvp. arXiv 2016, arXiv:1605.08803.<\/span><\/section>\n
    15. Kingma, D.P.; Welling, M. Auto-encoding variational bayes. arXiv 2013, arXiv:1312.6114.<\/span><\/section>\n
    16. Shwartz-Ziv, R.; Tishby, N. Opening the black box of deep neural networks via information. arXiv 2017, arXiv:1703.00810.<\/span><\/section>\n
    17. Shwartz-Ziv, R.; Tishby, N. Opening the black box of deep neural networks via information. arXiv 2017, arXiv:1703.00810.<\/span><\/section>\n
    18. Williams, P.L.; Beer., R.D. Nonnegative decomposition of multivariate information. arXiv 2017, arXiv:1004.2515.<\/span><\/section>\n


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    \u521b\u4f5c\u540e\u8bb0<\/strong><\/section>\n<\/section>\n<\/section>\n<\/section>\n
    \u4eca\u5e74\u4e09\u6708\uff0c\u65e0\u610f\u4e2d\u53d1\u73b0\u9910\u684c\u4e0a\u7236\u4eb2\u6b63\u5728\u9605\u8bfb\u7684\u4e00\u672c\u540d\u4e3a\u300a\u590d\u6742\u300b\u7684\u4e66\uff0c\u4e00\u4e0b\u5c31\u88ab\u4e66\u540d\u4e2d\u201cchaos\u201d\u4e00\u8bcd\u5438\u5f15\u3002<\/span><\/section>\n

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    \u4f5c\u4e3a\u4e00\u540d\u5bf9\u7269\u7406\u6709\u6781\u5927\u5174\u8da3\u7684\u5b66\u751f\uff0c\u70ed\u529b\u5b66\u548c\u7c92\u5b50\u7269\u7406\u4e2d\u7684\u590d\u6742\u4e0e\u968f\u673a\u6027\u4e00\u76f4\u4ee4\u6211\u7740\u8ff7\uff1a\u5904\u4e8e\u5e03\u6717\u8fd0\u52a8\u4e2d\u7684\u5206\u5b50\u7ec4\u6210\u7684\u7406\u60f3\u6c14\u4f53\uff0c\u53ef\u4ee5\u88abPV=nRT\u7b80\u5355\u5730\u63cf\u8ff0\uff1b\u5b8f\u89c2\u7269\u4f53\u7684\u8fd0\u52a8\u53ef\u4ee5\u5728\u4e00\u5b9a\u7a0b\u5ea6\u4e0a\u88ab\u725b\u987f\u5b9a\u5f8b\u7cbe\u51c6\u9884\u6d4b\uff0c\u4f46\u7ec4\u6210\u8fd9\u4e9b\u7269\u4f53\u7684\u57fa\u672c\u7c92\u5b50\uff0c\u5374\u88ab\u91cf\u5b50\u7269\u7406\u7684\u4e0d\u786e\u5b9a\u6027\u4e3b\u5bb0\u3002<\/span><\/section>\n

    <\/span><\/section>\n
    \u6df1\u5165\u9605\u8bfb\u540e\uff0c\u6211\u4e86\u89e3\u5230Santa Fe\u7814\u7a76\u6240\u3001\u590d\u6742\u79d1\u5b66\u7684\u521b\u7acb\u8fc7\u7a0b\uff0c\u8d8a\u53d1\u89c9\u5f97\u590d\u6742\u79d1\u5b66\u662f\u4e00\u95e8\u5f88\u795e\u5947\u7684\u524d\u6cbf\u5b66\u79d1\uff1b\u53c8\u53d1\u73b0\u6211\u5f88\u656c\u4f69\u7684\u7269\u7406\u5b66\u5bb6Gell-Mann\u5c45\u7136\u662fSanta Fe\u7814\u7a76\u6240\u7684\u6838\u5fc3\u521b\u59cb\u4eba\u4e4b\u4e00\uff0c\u4e5f\u500d\u611f\u60ca\u559c\uff0c\u9887\u6709\u7231\u5c4b\u53ca\u4e4c\u7684\u611f\u89c9\u3002<\/span><\/section>\n

    <\/span><\/section>\n
    \u800c\u5c01\u9762\u53f3\u4e0b\u89d2\u8bd1\u8005\u4e00\u680f\u7684\u7f72\u540d\u5f15\u8d77\u4e86\u6211\u7684\u6ce8\u610f\uff1a\u96c6\u667a\u4ff1\u4e50\u90e8\u3002\u521b\u59cb\u4eba\u5f20\u6c5f\u8001\u5e08\u7684\u63a8\u8350\u5e8f\uff0c\u4e5f\u8ba9\u6211\u611f\u53d7\u5230\u96c6\u667a\u548c\u4f20\u7edf\u7814\u7a76\u673a\u6784\u7684\u4e0d\u540c\uff1a\u70ed\u7231\u3001\u7eaf\u7cb9\u3001\u5f00\u653e\u3002<\/span><\/section>\n

    <\/span><\/section>\n
    \u5728\u66f4\u6df1\u5165\u641c\u7d22\u96c6\u667a\u7684\u4fe1\u606f\u540e\uff0c\u6211\u53d1\u73b0\u4e86\u5176\u5fd7\u613f\u8005\u9879\u76ee\uff0c\u88ab\u96c6\u667a\u201c\u4e0d\u770b\u5b66\u5386\uff0c\u53ea\u770b\u5b9e\u529b\u201d\u7684\u7406\u5ff5\u6240\u5438\u5f15\u3002\u6070\u597d\u6b64\u65f6\u56e0\u679c\u6d8c\u73b0\u7b2c\u4e94\u5b63\u8bfb\u4e66\u4f1a\u5f00\u653e\uff0c\u9042\u62b1\u7740\u4e86\u89e3\u4e0e\u4f53\u9a8c\u7684\u60f3\u6cd5\uff0c\u51b3\u5b9a\u5148\u62a5\u540d\u53c2\u52a0\uff0c\u611f\u53d7\u96c6\u667a\u5171\u521b\u793e\u533a\u7684\u6c1b\u56f4\u3002\u542c\u4e86\u51e0\u6b21\u8bfb\u4e66\u4f1a\u5206\u4eab\u4e4b\u540e\uff0c\u6211\u4e0d\u4ec5\u9707\u64bc\u4e8e\u8ba8\u8bba\u5185\u5bb9\u7684\u6df1\u5ea6\uff0c\u4e5f\u840c\u751f\u4e86\u66f4\u52a0\u6df1\u5165\u63a2\u7d22\u590d\u6742\u79d1\u5b66\u7684\u60f3\u6cd5\u3002<\/span><\/section>\n

    <\/span><\/section>\n
    \u7531\u6b64\u4ea7\u751f\u7684\u3001\u5bf9\u590d\u6742\u79d1\u5b66\u6781\u5927\u7684\u5174\u8da3\uff0c\u4fc3\u4f7f\u6211\u8ba4\u9886\u4e86\u7ffb\u8bd1\u4e0e\u6574\u7406NIS\u8bcd\u6761\u7684\u5171\u521b\u4efb\u52a1\u3002\u5bf9NIS\u672c\u8eab\u7684\u9009\u62e9\u5219\u66f4\u4e3a\u7b80\u5355\uff1a\u7ffb\u8bd1\u4e00\u7bc7\u5b8c\u6574\u7684\u8bba\u6587\u5e76\u6574\u7406\u6210\u8bcd\u6761\u7684\u5f62\u5f0f\uff0c\u770b\u8d77\u6765\u9887\u5177\u6311\u6218\u6027\uff0c\u4e5f\u662f\u6211\u5165\u95e8\u590d\u6742\u79d1\u5b66\uff08\u66f4\u7cbe\u786e\u5730\u8bf4\u662f\u56e0\u679c\u6d8c\u73b0\uff09\u7684\u6781\u4f73\u5f62\u5f0f\u3002<\/span><\/section>\n

    <\/span><\/section>\n
    \u7ecf\u8fc7\u4e09\u5929\u9ad8\u5f3a\u5ea6\u7684\u5de5\u4f5c\uff0c\u4e00\u4e07\u591a\u5b57\u7684\u7ffb\u8bd1\u7a3f\u5df2\u7ecf\u5f62\u6210\uff0c\u800c\u6b64\u65f6\u771f\u6b63\u7684\u5de5\u4f5c\u521a\u521a\u5f00\u59cb\u3002\u4ec5\u4ec5\u5c06\u8bba\u6587\u6309\u987a\u5e8f\u7ffb\u8bd1\u3001\u7c98\u8d34\u5230\u8bcd\u6761\u4e0a\u5e76\u4e0d\u8db3\u4ee5\u5b8c\u6210\u521b\u4f5c\uff1a\u7ffb\u8bd1\u662f\u7b2c\u4e00\u6b65\uff0c\u5c06\u5176\u6574\u7406\u6210\u201c\u767e\u79d1\u201d\u7684\u903b\u8f91\u624d\u662f\u6700\u91cd\u8981\u7684\u3002<\/span><\/section>\n

    <\/span><\/section>\n
    \u8fd9\u6837\u7684\u89c6\u89d2\u8f6c\u6362\u8ba9\u6211\u5bf9\u8bcd\u6761\u521b\u4f5c\u7684\u7406\u89e3\u66f4\u52a0\u6e05\u6670\u2014\u2014\u4f5c\u4e3a\u4e00\u4f4d\u590d\u6742\u79d1\u5b66\u7684\u201c\u95e8\u5916\u6c49\u201d\uff0c\u4ee5\u8bba\u6587\u7684\u987a\u5e8f\u9605\u8bfbNIS\u7684\u4ecb\u7ecd\uff0c\u9700\u8981\u8017\u8d39\u5927\u91cf\u7684\u7cbe\u529b\u7406\u89e3\uff1b\u4f46\u5982\u679c\u5c06\u5185\u5bb9\u6362\u4e2a\u987a\u5e8f\uff0c\u4ece\u5b9a\u6027\u7684\u5386\u53f2\u548c\u7814\u7a76\u65b9\u6cd5\u51fa\u53d1\uff0c\u9605\u8bfb\u8d77\u6765\u4fbf\u8f7b\u677e\u8bb8\u591a\u3002<\/span><\/section>\n

    <\/span><\/section>\n
    \u5728\u5b66\u4e60\u4e86\u96c6\u667a\u767e\u79d1\u4e2d\u5df2\u7ecf\u6210\u719f\u7684\u201c\u56e0\u679c\u6d8c\u73b0\u201d\u8bcd\u6761\u7ed3\u6784\u4e4b\u540e\uff0c\u6211\u5f00\u59cb\u4e86\u5bf9NIS\u8bcd\u6761\u6846\u67b6\u7684\u4fee\u6539\uff1a\u5728\u8bcd\u6761\u6700\u4e0a\u65b9\u6dfb\u52a0\u7b80\u4ecb\u3001\u4ece\u5386\u53f2\u548c\u6982\u5ff5\u94fa\u57ab\u8bb2\u8d77\uff0c\u518d\u5207\u6362\u5230NIS\u7684\u6280\u672f\u57fa\u7840\uff1b\u6700\u540e\u9010\u6b65\u5f15\u5165NIS\u6846\u67b6\u672c\u8eab\u7684\u7ed3\u6784\u4e0e\u6027\u8d28\uff0c\u5b8c\u6574\u4ecb\u7ecd\u540e\u518d\u8ba8\u8bba\u6570\u503c\u5b9e\u9a8c\u3001\u4f18\u7f3a\u70b9\u5206\u6790\u4e0e\u5c55\u671b\u3002\u8f6c\u6362\u601d\u8def\u4e0e\u6846\u67b6\u4e4b\u540e\uff0c\u6211\u5f00\u59cb\u5bf9\u7ffb\u8bd1\u7a3f\u8fdb\u884c\u4e0d\u65ad\u7684\u4fee\u6539\uff1a\u7701\u7565\u8fc7\u4e8e\u590d\u6742\u7684\u4e00\u90e8\u5206\u5b9a\u91cf\u63a8\u5bfc\uff1b\u66f4\u52a0\u7740\u91cd\u80cc\u666f\u548c\u6280\u672f\u7b80\u4ecb\uff1b\u628a\u7406\u8bba\u6027\u8d28\u6a21\u5757\u5316\u2026\u2026\u5728\u4e0d\u65ad\u7684\u4fee\u6539\u8fc7\u7a0b\u4e2d\uff0c\u5f20\u6c5f\u8001\u5e08\u548c\u738b\u5fd7\u9e4f\u5b66\u957f\u4e00\u6b21\u6b21\u7684\u6253\u78e8\u4e0e\u6089\u5fc3\u6307\u5bfc\uff0c\u4f7f\u6211\u5f00\u59cb\u5bf9NIS\u7684\u8bba\u6587\u548c\u5176\u6846\u67b6\u672c\u8eab\u6709\u66f4\u52a0\u6e05\u6670\u3001\u6df1\u5165\u7684\u4e86\u89e3\u3002<\/span><\/section>\n

    <\/span><\/section>\n
    \u6700\u7ec8\uff0cNIS\u8bcd\u6761\u5b8c\u6210\u4e86\u4ece\u4e00\u7bc7\u7b80\u5355\u7ffb\u8bd1\u7a3f\u5230\u767e\u79d1\u9875\u9762\u7684\u8715\u53d8\uff0c\u800c\u6211\u5728\u8fd9\u4e00\u8fc7\u7a0b\u4e2d\uff0c\u4ece\u4e00\u5f00\u59cb\u5bf9\u8bba\u6587\u7684\u7b80\u5355\u9010\u53e5\u7ffb\u8bd1\uff0c\u5230\u6574\u7406\u548c\u5199\u4f5c\u6807\u51c6\u5316\u6d41\u3001\u53ef\u9006\u795e\u7ecf\u7f51\u7edc\u7b49\u8bba\u6587\u4e2d\u5e76\u672a\u63d0\u53ca\u7684\u6280\u672f\u4ecb\u7ecd\uff0c\u4e0d\u65ad\u6269\u5145\u4e86\u5bf9\u590d\u6742\u79d1\u5b66\u7684\u57fa\u672c\u6982\u5ff5\u7684\u8ba4\u77e5\uff0c\u8fdb\u800c\u5bf9\u56e0\u679c\u6d8c\u73b0\u3001NIS\u7684\u6570\u5b66\u5b9a\u4e49\u3001\u795e\u7ecf\u7f51\u7edc\u6846\u67b6\u4e0e\u6027\u8d28\u7b49\u6709\u4e86\u8d8a\u53d1\u6e05\u6670\u7684\u7406\u89e3\u3002<\/span><\/section>\n

    <\/span><\/section>\n
    \u5b8c\u6210\u8bcd\u6761\u7684\u57fa\u672c\u5199\u4f5c\u540e\uff0c\u6211\u5bf9NIS\u6846\u67b6\u672c\u8eab\u7684\u5174\u8da3\u4e5f\u5728\u4e0e\u65e5\u4ff1\u589e\u3002\u6691\u5047\u91cc\u53bb\u5317\u4eac\u96c6\u667a\u516c\u5bd3\u5b9e\u4e60\u7684\u8fc7\u7a0b\u4e2d\uff0c\u6709\u5e78\u5728\u8881\u51b0\u8001\u5e08\u548c\u6768\u660e\u54f2\u5b66\u957f\u7684\u9762\u5bf9\u9762\u6559\u5b66\u4e0b\uff0c\u6210\u529f\u590d\u73b0\u4e86NIS\u7684\u5b9e\u9a8c\u3002\u4eca\u540e\uff0c\u6211\u4e5f\u8ba1\u5212\u7ee7\u7eed\u6df1\u5165\u5bf9\u56e0\u679c\u6d8c\u73b0\u548cNIS\u6846\u67b6\u7684\u5b66\u4e60\u548c\u7814\u7a76\uff0c\u5c1d\u8bd5\u6784\u9020\u4e00\u4e2a\u91cf\u5316\u56e0\u679c\u6d8c\u73b0\u7684\u6d4b\u91cf\u6807\u51c6\uff1b\u5e76\u4e0e\u5176\u4ed6\u5fd7\u613f\u8005\u5408\u4f5c\uff0c\u7ee7\u7eed\u53c2\u4e0e\u8bcd\u6761\u7684\u5171\u521b\u4efb\u52a1\u3002<\/span><\/section>\n

    <\/span><\/section>\n
    \u5728\u521b\u4f5cNIS\u8bcd\u6761\u7684\u8fc7\u7a0b\u4e2d\uff0c\u6211\u7684\u89c6\u89d2\u4ece\u7eaf\u7cb9\u7684\u7ffb\u8bd1\u8005\uff0c\u8f6c\u53d8\u4e3a\u8bfb\u8005\u89d2\u5ea6\uff0c\u4e0d\u65ad\u5206\u6790\u4ec0\u4e48\u6837\u7684\u7ed3\u6784\u5bf9\u7406\u89e3NIS\u6700\u6709\u5e2e\u52a9\u3002\u5f20\u8001\u5e08\u6709\u4e00\u4e2a\u975e\u5e38\u5f62\u8c61\u7684\u6bd4\u55bb\uff1a\u8bcd\u6761\u5199\u4f5c\u5982\u540c\u505a\u83dc\uff0c\u7ffb\u8bd1\u662f\u201c\u5207\u83dc\u201d\u7684\u8fc7\u7a0b\uff0c\u800c\u51c6\u5907\u597d\u6750\u6599\u540e\u7684\u201c\u70f9\u996a\u201d\u65b9\u5f0f\uff0c\u624d\u662f\u6700\u7ec8\u5f62\u6210\u8bcd\u6761\u7684\u5173\u952e\u6b65\u9aa4\u3002<\/span><\/section>\n

    <\/span><\/section>\n
    \u5bf9\u590d\u6742\u7cfb\u7edf\u7684\u7814\u7a76\u4ea6\u662f\u5982\u6b64\uff1a\u5c06\u590d\u6742\u7684\u4e2a\u4f53\u884c\u4e3a\u4e0e\u7ec6\u8282\u7b80\u5316\uff0c\u4ece\u6574\u4f53\u3001\u5b8f\u89c2\u7684\u89c6\u89d2\uff0c\u5206\u6790\u4e00\u4e2a\u590d\u6742\u7cfb\u7edf\u7684\u8d70\u5411\u4e0e\u8d8b\u52bf\u3002\u6b63\u5982\u6211\u7684\u5076\u50cf\u4e54\u5e03\u65af\u6240\u8a00\uff0c\u201c\u5c06\u4e00\u4e2a\u4ea7\u54c1\u505a\u5230\u65e0\u4e0e\u4f26\u6bd4\u7684\u590d\u6742\u5176\u5b9e\u4e0d\u96be\uff0c\u4f46\u5c06\u5b83\u5316\u5230\u6700\u7b80\uff0c\u5219\u9700\u8981\u8bbe\u8ba1\u8005\u5bf9\u4ea7\u54c1\u6709\u7740\u6700\u672c\u8d28\u3001\u6700\u6df1\u523b\u7684\u7406\u89e3\u3002\u201d<\/span><\/section>\n

    <\/section>\n

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

    <\/p>\n


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


    <\/strong><\/p>\n

    \u201c\u590d\u6742 AI \u6b21\u65b9\u201d\u5f00\u653e\u5b9e\u9a8c\u5ba4\u62db\u52df<\/strong>
    <\/p>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n


    <\/section>\n

    \u4f5c\u4e3a\u5317\u5e08\u5927\u7cfb\u7edf\u79d1\u5b66\u5b66\u9662\u7684\u6559\u6388\uff0c\u4ee5\u53ca\u96c6\u667a\u4ff1\u4e50\u90e8\u3001\u96c6\u667a\u5b66\u56ed\u7684\u521b\u59cb\u4eba\uff0c\u96c6\u667a\u79d1\u5b66\u7814\u7a76\u4e2d\u5fc3\u9662\u957f\uff0c\u5f20\u6c5f\u4ece2003\u5e74\u5f00\u59cb\uff0c\u5c31\u957f\u671f\u4ece\u4e8b\u6709\u5173\u590d\u6742\u7cfb\u7edf\u5efa\u6a21\u7684\u5de5\u4f5c\u3002\u8fd1\u5e74\u6765\uff0c\u5f20\u6c5f\u5e26\u9886\u7740\u5317\u5e08\u5927\u7684\u7814\u7a76\u7ec4\u5f00\u59cb\u805a\u7126\u5728\u57fa\u4e8e\u65b0\u5174AI\u6280\u672f\u8fdb\u884c\u57fa\u4e8e\u6570\u636e\u9a71\u52a8\u7684\u81ea\u52a8\u5efa\u6a21\u7814\u7a76\uff0c\u5e76\u7acb\u5fd7\u7834\u89e3\u590d\u6742\u7cfb\u7edf\u7684\u6d8c\u73b0\u4e4b\u8c1c\u3002\u6211\u4eec\u5e0c\u671b\u53ef\u4ee5\u6709\u5bf9\u590d\u6742\u7cfb\u7edf\u81ea\u52a8\u5efa\u6a21\u9886\u57df\u6709\u70ed\u60c5\uff0c\u4e14\u8ba4\u53ef\u8fd9\u4e2a\u9886\u57df\u53d1\u5c55\u524d\u666f\u7684\u670b\u53cb\u4e00\u8d77\u6765\u5408\u4f5c\uff0c\u4fc3\u8fdb\u8fd9\u4e00\u9886\u57df\u7684\u5feb\u901f\u53d1\u5c55\u3002<\/span>\u6211\u4eec\u5e0c\u671b\u8fd9\u4e2a\u53eb\u505a\u201c Complexity <\/span>AI<\/sup> \u201d\uff0c\u4e2d\u6587\u53eb\u505a\u201c\u590d\u6742AI\u6b21\u65b9\u201d\u7684\u5f00\u653e\u5b9e\u9a8c\u5ba4\uff0c\u80fd\u591f\u771f\u6b63\u5b9e\u73b0\u601d\u60f3\u5171\u4eab\u3001\u8d44\u6e90\u5171\u4eab\u3001\u8de8\u5b66\u79d1\u4ea4\u53c9\uff0c\u5171\u540c\u4e3a\u590d\u6742\u7cfb\u7edf\u81ea\u52a8\u5efa\u6a21\u800c\u594b\u8fdb\u3002<\/span><\/p>\n


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

    <\/section>\n

    \u8be6\u60c5\u8bf7\u89c1\uff1a<\/span>\u201c\u590d\u6742 AI \u6b21\u65b9\u201d\u5f00\u653e\u5b9e\u9a8c\u5ba4\u62db\u52df\uff0c\u6311\u6218\u201c\u6d8c\u73b0\u201d\u96be\u9898<\/a><\/span><\/p>\n


    <\/section>\n

    <\/section>\n
    \u63a8\u8350\u9605\u8bfb<\/span><\/strong><\/strong><\/strong>
    <\/section>\n
    1. <\/strong>\u673a\u5668\u5b66\u4e60\u6846\u67b6NIS+\uff1a\u901a\u8fc7\u6700\u5927\u5316\u6709\u6548\u4fe1\u606f\u8bc6\u522b\u201c\u56e0\u679c\u6d8c\u73b0\u201d | NSR<\/a><\/strong><\/span><\/section>\n
    2. <\/strong>\u5168\u7f51\u6700\u5168\u603b\u7ed3\uff01\u56e0\u679c\u6d8c\u73b0\u6838\u5fc3\u6307\u6807\u201c\u6709\u6548\u4fe1\u606f\u201d\uff5c\u96c6\u667a\u767e\u79d1<\/a><\/strong><\/span><\/section>\n
    3. <\/strong>\u96c6\u667a\u79d1\u5b66\u7814\u7a76\u4e2d\u5fc3\u91cd\u78c5\u7efc\u8ff0\uff1a\u590d\u6742\u7cfb\u7edf\u4e2d\u7684\u56e0\u679c\u548c\u6d8c\u73b0<\/a><\/strong><\/span><\/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>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><\/strong><\/strong><\/section>\n

    6. <\/strong>\u52a0\u5165\u96c6\u667a\uff0c\u4e00\u8d77\u590d\u6742\uff01<\/strong><\/span><\/a><\/p>\n


    <\/p>\n


    <\/p>\n

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

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

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