\u5e74\u524d\u5c31\u4e70\u7684\u4e66\uff0c\u4e00\u76f4\u6ca1\u770b\uff0c\u8bfb\u8d77\u6765\u80fd\u61c2\u4e00\u534a\uff0c\u4f46\u611f\u89c9\u8fd8\u662f\u86ee\u6709\u610f\u601d\u7684\u3002\u5f88\u5c11\u6709\u8fd9\u79cd\u8fdb\u884c\u5b8f\u89c2\u601d\u8003\u7684\u8457\u4f5c\uff0c\u628a\u79d1\u5b66\u3001\u54f2\u5b66\u653e\u5728\u4e00\u8d77\u6765\u770b\u95ee\u9898\uff0c\u65e2\u79d1\u5b66\u53c8\u901a\u900f\uff0c\u4e5f\u4f1a\u5bf9\u5f53\u4e0b\u7684\u8bb8\u591a\u73b0\u5b9e\u601d\u8003\u6709\u5f88\u5927\u5e2e\u52a9\uff0c\u6bd5\u7adf\u8bf8\u591a\u7684\u4eba\u751f\u547d\u9898\u5176\u5b9e\u79bb\u4e0d\u5f00\u5b87\u5b99\u3001\u79d1\u5b66\u3001\u54f2\u5b66\u7684\u80cc\u666f\uff0c\u624d\u80fd\u7ed9\u51fa\u66f4\u52a0\u4ee4\u81ea\u5df1\u4fe1\u670d\u7684\u7ed3\u8bba\u3002\u3002<\/p>\n\n\n\n
\u7167\u4f8b\u505a\u4e9b\u6458\u8981\u3002<\/p>\n\n\n\n
\u81ea\u7136\u4e3b\u4e49\u53ef\u4ee5\u5f52\u7ed3\u4e3a\u4e09\u70b9\uff1a1\uff09\u53ea\u6709\u4e00\u4e2a\u4e16\u754c\uff0c\u90a3\u5c31\u662f\u81ea\u7136\u4e16\u754c\uff1b2\uff09\u4e16\u754c\u4f9d\u636e\u56fa\u5b9a\u7684\u6a21\u5f0f\u8fd0\u8f6c\uff0c\u5c31\u662f\u81ea\u7136\u89c4\u5f8b\uff1b3\uff09\u77e5\u6653\u4e16\u754c\u7684\u552f\u4e00\u53ef\u9760\u9014\u5f84\u5c31\u662f\u89c2\u5bdf\u3002<\/p><\/blockquote>\n\n\n\n
\u8fd9\u5176\u5b9e\u662f\u8fd9\u4e2a\u5b87\u5b99\u7684\u5e95\u8272\u3002<\/p>\n\n\n\n
\u4e9a\u91cc\u58eb\u591a\u5fb7\u5173\u4e8e\u7269\u7406\u5b66\u7684\u89c2\u70b9\u5c5e\u4e8e\u5178\u578b\u7684\u76ee\u7684\u8bba\uff1a\u4ed6\u8ba4\u4e3a\u4e8b\u7269\u62e5\u6709\u4e00\u79cd\u6700\u81ea\u7136\u7684\u5b58\u5728\u72b6\u6001\uff0c\u4ed6\u4eec\u7684\u53d8\u5316\u662f\u6709\u67d0\u79cd\u76ee\u7684\u6240\u6307\u5f15\u3002\u8fd9\u79cd\u76ee\u7684\u53ef\u4ee5\u5206\u4e3a\u56db\u79cd\uff0c\u8d28\u6599\u56e0\uff08\u7ec4\u6210\u4e8b\u7269\u7684\u6750\u6599\uff09\u3001\u5f62\u5f0f\u56e0\u3001\u52a8\u529b\u56e0\u3001\u76ee\u7684\u56e0\uff08\u4e8b\u7269\u5b58\u5728\u7684\u7406\u7531\uff09\u3002\u7406\u89e3\u4e8b\u7269\u4e3a\u4f55\u5982\u6b64\u6539\u53d8\u3001\u8fd0\u8f6c\uff0c\u5c31\u76f8\u5f53\u4e8e\u8ba8\u8bba\u8fd9\u4e9b\u539f\u56e0\u3002<\/p><\/blockquote>\n\n\n\n
\u770b\u4f3c\u8fc7\u65f6\u4e86\uff0c\u6bd5\u7adf\u5343\u5e74\u524d\u7684\u4eba\u7269\u4e86\u3002\u4f46\u4ece\u6750\u6599\u6784\u6210\u3001\u5f62\u5f0f\u3001\u52a8\u529b\u3001\u76ee\u7684\u53bb\u505a\u89e3\u91ca\u7684\u903b\u8f91\uff0c\u4eca\u5929\u7684\u65e5\u5e38\u751f\u6d3b\u4e2d\u4f9d\u7136\u88ab\u5927\u91cf\u4f7f\u7528\uff0c\u5e76\u4e14\u5f80\u5f80\u662f\u4e3a\u4e86\u5229\u76ca\u53ea\u8ba8\u8bba\u5176\u4e2d\u4e00\u79cd\u56e0\uff0c\u800c\u4e0d\u662f\u66f4\u5168\u9762\u53bb\u7406\u89e3\u3002<\/p>\n\n\n\n
\u5bfb\u627e\u4e8b\u7269\u53d1\u751f\u7684\u7406\u7531\u65e0\u8bba\u600e\u4e48\u8bf4\u90fd\u5e76\u975e\u6beb\u65e0\u9053\u7406\u3002\u5728\u8bb8\u591a\u719f\u6089\u7684\u573a\u666f\u4e2d\uff0c\u4e8b\u7269\u5e76\u4e0d\u4f1a\u65e0\u7f18\u65e0\u6545\u53d1\u751f\u3002\u5728\u6f14\u5316\u7684\u6f2b\u957f\u65f6\u95f4\u91cc\uff0c\u6211\u4eec\u53d1\u5c55\u51fa\u719f\u6089\u7684\u5173\u4e8e\u539f\u56e0\u548c\u7ed3\u679c\u7684\u76f4\u89c9\uff0c\u8fd9\u662f\u56e0\u4e3a\u8fd9\u4e9b\u76f4\u89c9\u5f88\u597d\u5730\u5f15\u5bfc\u4e86\u6211\u4eec\u53bb\u7406\u89e3\u4e16\u754c\u8fd0\u8f6c\u7684\u65b9\u5f0f\u3002\u800c\u8c2c\u8bef\u5728\u4e8e\u5c06\u8fd9\u79cd\u671f\u671b\u4e0a\u5347\u5230\u7262\u4e0d\u53ef\u7834\u7684\u539f\u5219\uff0c\u8fd9\u4e2a\u8c2c\u8bef\u5c31\u662f\u5145\u8db3\u7406\u7531\u5f8b\uff1a\u5bf9\u4e8e\u4efb\u4f55\u4e8b\u5b9e\uff0c\u5fc5\u5b9a\u6709\u4e00\u4e2a\u7406\u7531\uff0c\u4f7f\u5b83\u975e\u6b64\u5373\u5f7c\u3002<\/p><\/blockquote>\n\n\n\n
\u5b87\u5b99\u662f\u6ca1\u6709\u56e0\u679c\u8bba\u7684\uff0c\u8fd9\u79cd\u56e0\u679c\u76f4\u89c9\u662f\u6f14\u5316\u7684\u7ed3\u679c\u800c\u5df2\uff0c\u8981\u907f\u514d\u592a\u8f83\u771f\u3002<\/p>\n\n\n\n
\u5f53\u6211\u4eec\u8c08\u5230\u201c\u5927\u7206\u70b8\u6a21\u578b\u201d\u65f6\uff0c\u8981\u548c\u201c\u5927\u7206\u70b8\u201d\u672c\u8eab\u5c0f\u5fc3\u5730\u5206\u5f00\u3002\u524d\u8005\u662f\u6709\u5173\u53ef\u89c2\u6d4b\u5b87\u5b99\u5982\u4f55\u6f14\u5316\u7684\u4e00\u4e2a\u7406\u8bba\uff0c\u5df2\u7ecf\u53d6\u5f97\u5de8\u5927\u7684\u6210\u529f\uff1b\u540e\u8005\u662f\u4e00\u4e2a\u5047\u8c61\u7684\u77ac\u95f4\uff0c\u6211\u4eec\u5bf9\u5b83\u51e0\u4e4e\u4e00\u65e0\u6240\u77e5\u3002\u5927\u7206\u70b8\u672c\u8eab\u662f\u5e7f\u4e49\u76f8\u5bf9\u8bba\u7684\u9884\u8a00\uff0c\u4ed6\u662f\u65f6\u95f4\u4e2d\u7684\u4e00\u4e2a\u77ac\u95f4\uff0c\u800c\u4e0d\u662f\u7a7a\u95f4\u4e2d\u7684\u67d0\u4e00\u70b9\u3002\u5927\u7206\u70b8\u5e76\u4e0d\u6807\u5fd7\u7740\u6211\u4eec\u5b87\u5b99\u7684\u8d77\u70b9\uff0c\u5b83\u6807\u5fd7\u7740\u6211\u4eec\u5bf9\u7269\u7406\u7406\u8bba\u8ba4\u8bc6\u7684\u91cd\u70b9\uff0c\u57fa\u4e8e\u89c2\u5bdf\u6570\u636e\uff0c\u6211\u4eec\u6bd4\u8f83\u6e05\u695a\u5927\u7206\u70b8\u4e4b\u540e\u4e0d\u4e45\u53d1\u751f\u7684\u4e8b\u60c5\u3002\u4f46\u5927\u7206\u70b8\u672c\u8eab\u8c1c\u56e2\u91cd\u91cd\u3002\u6211\u4eec\u4e0d\u5e94\u8be5\u5c06\u5b83\u770b\u4f5c\u201c\u65f6\u95f4\u8d77\u59cb\u5904\u7684\u5947\u70b9\u201d\uff0c\u5b83\u53ea\u662f\u4e00\u4e2a\u6807\u7b7e\uff0c\u63cf\u8ff0\u5728\u65f6\u95f4\u4e2d\u6211\u4eec\u76ee\u524d\u4ecd\u4e0d\u7406\u89e3\u7684\u4e00\u4e2a\u77ac\u95f4\u3002<\/p><\/blockquote>\n\n\n\n
\u5927\u7206\u70b8\u6211\u4eec\u8fd8\u5c1a\u4e0d\u7406\u89e3\u3002<\/p>\n\n\n\n
\u8fc7\u53bb\u4e0e\u672a\u6765\u5e76\u6ca1\u6709\u6839\u672c\u6027\u7684\u5dee\u5f02\u3002\u5728\u7269\u7406\u5b9a\u5f8b\u4e2d\uff0c\u4e0d\u5b58\u5728\u6bcf\u4e2a\u77ac\u95f4\u4e0a\u6307\u793a\u7740\u4ed6\u201c\u5df2\u7ecf\u53d1\u751f\u201d\u6216\u8005\u201c\u8fd8\u6ca1\u53d1\u751f\u201d\u7684\u5c0f\u6807\u7b7e\uff0c\u8fd9\u4e9b\u5b9a\u5f8b\u5bf9\u6bcf\u4e2a\u77ac\u95f4\u90fd\u662f\u5e73\u7b49\u7684\uff0c\u5b83\u5c06\u8fd9\u4e9b\u6240\u6709\u7684\u77ac\u95f4\u8054\u7ed3\u6210\u552f\u4e00\u7684\u79e9\u5e8f\u3002<\/p><\/blockquote>\n\n\n\n
\u6ca1\u6709\u8fc7\u53bb\u3001\u6ca1\u6709\u672a\u6765\uff0c\u53ea\u6709\u5f53\u4e0b\u3002\u5b97\u6559\u7684\u5f88\u591a\u8bf4\u6cd5\u662f\u5177\u5907\u4e25\u8c28\u7684\u79d1\u5b66\u610f\u4e49\u7684\u3002<\/p>\n\n\n\n
\u5f88\u591a\u4e8b\u60c5\u51e0\u4e4e\u4e0d\u53ef\u80fd\u53d1\u751f\uff0c\u4f46\u4e0d\u80fd\u8bc1\u660e\u5b83\u4e00\u5b9a\u4e0d\u4f1a\u53d1\u751f\u3002\u89e3\u51b3\u65b9\u6cd5\u5c31\u662f\u627f\u8ba4\u6709\u4e9b\u53ef\u80fd\u6027\u7684\u7f6e\u4fe1\u5ea6\u975e\u5e38\u5fae\u5c0f\uff0c\u4ee5\u81f3\u4e8e\u4e0d\u503c\u5f97\u4e25\u8083\u5bf9\u5f85\u3002\u6211\u4eec\u5b8c\u5168\u6709\u7406\u7531\u5728\u884c\u52a8\u4e2d\u5c06\u8fd9\u4e9b\u53ef\u80fd\u6027\u5f53\u4f5c\u4e0d\u53ef\u80fd\u3002\u6240\u4ee5\u6211\u4eec\u4e0d\u8ba4\u4e3a\uff0c\u6211\u76f8\u4fe1X\u7684\u610f\u601d\u662f\u6211\u53ef\u4ee5\u8bc1\u660ex\u6b63\u786e\uff0c\u800c\u662f\u201c\u6211\u8ba4\u4e3a\u82b1\u8d39\u4efb\u4f55\u53ef\u89c2\u7684\u65f6\u95f4\u548c\u7cbe\u529b\u5728\u5bf9x\u7684\u6000\u7591\u4e0a\u5e76\u65e0\u76ca\u5904\u201d\u3002\u6211\u4eec\u4e0d\u5728\u6709\u5bf9\u4efb\u4f55\u4e8b\u7269\u7684\u7edd\u5bf9\u8bc1\u660e\uff0c\u53ea\u5269\u4e0b\u5bf9\u4e8e\u67d0\u4e9b\u4e8b\u7269\u66f4\u9ad8\u7684\u7f6e\u4fe1\u5ea6\uff0c\u8fd8\u6709\u5bf9\u4e8e\u5176\u4ed6\u4e8b\u7269\u66f4\u5927\u7684\u4e0d\u786e\u5b9a\u3002\u8fd9\u662f\u6211\u4eec\u5e0c\u671b\u5f97\u5230\u7684\u6700\u597d\u7ed3\u679c\uff0c\u4e8b\u5b9e\u4e0a\u4e5f\u662f\u4e16\u754c\u5bf9\u6211\u4eec\u7684\u9988\u8d60\u3002\u4eba\u751f\u82e6\u77ed\uff0c\u800c\u4e16\u4e8b\u672c\u65e0\u7edd\u5bf9\u3002<\/p><\/blockquote>\n\n\n\n
\u4e0d\u94bb\u725b\u89d2\u5c16\u5427\u3002\u5c0f\u6982\u7387\u3001\u4f4e\u7f6e\u4fe1\u5ea6\u6765\u505a\u9002\u5f53\u7684\u5ffd\u7565\uff0c\u66f4\u6709\u5229\u4e8e\u95ee\u9898\u7684\u89e3\u51b3\u3002<\/p>\n\n\n\n
\u73b0\u4ee3\u91cf\u5b50\u7269\u7406\u5b66\u5bb6\u53ef\u4ee5\u8bb2\u4e16\u754c\u770b\u6210\u4e00\u4e2a\u6ce2\u51fd\u6570\uff0c\u5b8c\u6bd5\u3002\u5b87\u5b99\u4e2d\u5982\u4f55\u4ea7\u751f\u4eba\u7c7b\u8fd9\u6837\u7ec4\u7ec7\u4e25\u5bc6\u7684\u4e8b\u7269\u7684\uff1f\u7b80\u77ed\u7684\u7b54\u6848\u5305\u542b\u4e24\u90e8\u5206\uff0c\u71b5\u548c\u6d8c\u73b0\u3002\u71b5\u63d0\u4f9b\u4e86\u4e00\u4e2a\u65f6\u95f4\u7bad\u5934\uff0c\u6d8c\u73b0\u7ed9\u51fa\u4e86\u4e00\u79cd\u8bf4\u660e\u65b9\u5f0f\uff0c\u80fd\u89e3\u91ca\u90a3\u4e9b\u53ef\u4ee5\u751f\u5b58\u548c\u6f14\u5316\uff0c\u5e76\u6709\u7740\u76ee\u6807\u548c\u6e34\u671b\u7684\u96c6\u4f53\u7ed3\u6784\u3002<\/p><\/blockquote>\n\n\n\n
\u6ce2\u51fd\u6570\u3001\u71b5\u3001\u6d8c\u73b0\uff0c\u63cf\u8ff0\u4e86\u5f53\u4e0b\u7684\u4e00\u5207\u3002<\/p>\n\n\n\n
\u6b63\u662f\u6709\u6548\u573a\u8bba\u7684\u529b\u91cf\uff0c\u8ba9\u6211\u4eec\u53ef\u4ee5\u5927\u80c6\u65ad\u8a00\uff1a\u6709\u5173\u65e5\u5e38\u751f\u6d3b\u7684\u7269\u7406\u6cd5\u5219\u5df2\u88ab\u5168\u90e8\u77e5\u6653\u4e86\u3002\u786e\u5b9e\u5982\u6b64\u3002\u672a\u6765\u8fdb\u6b65\u4e2d\u6700\u6709\u53ef\u80fd\u7684\u573a\u666f\uff0c\u5c31\u662f\u6838\u5fc3\u7406\u8bba\u5728\u4ed6\u7684\u9002\u7528\u8303\u56f4\u4e4b\u5185\u4ecd\u7136\u80fd\u505a\u4f5c\u4e3a\u4e00\u4e2a\u975e\u5e38\u4f18\u79c0\u7684\u6a21\u578b\uff0c\u540c\u4e8b\u6211\u4eec\u4f1a\u5728\u66f4\u9ad8\u548c\u66f4\u4f4e\u7684\u5c42\u9762\uff0c\u751a\u81f3\u5728\u522b\u7684\u4fa7\u9762\u4e0a\u63a8\u8fdb\uff0c\u66f4\u597d\u5730\u7406\u89e3\u8fd9\u4e2a\u4e16\u754c\u3002<\/p><\/blockquote>\n\n\n\n
\u5bf9\u6211\u4eec\u8fd8\u86ee\u5173\u952e\u7684\u8bba\u65ad\u3002\u57fa\u4e8e\u5f53\u4e0b\u7684\u79d1\u5b66\u5df2\u7ecf\u80fd\u505a\u5f88\u591a\u4e8b\u60c5\u4e86\uff0c\u672a\u5fc5\u8981\u7b49\u65b0\u7684\u79d1\u5b66\u7a81\u7834\u3002<\/p>\n\n\n\n
\u6211\u4eec\u4ece\u592a\u9633\u5f97\u5230\u7684\u771f\u6b63\u91cd\u8981\u7684\u4e1c\u897f\u5176\u5b9e\u662f\u71b5\u975e\u5e38\u4f4e\u7684\u80fd\u91cf\u2014\u2014\u81ea\u7531\u80fd(free energy).<\/p>
\u901a\u5e38\u53d1\u751f\u7684\u662f\uff0c\u9009\u62e9\u7684\u6570\u91cf\u592a\u591a\uff0c\u6211\u4eec\u53ea\u8981\u627e\u5230\u4e0d\u9519\u7684\u89e3\u5c31\u5f88\u9ad8\u5174\u4e86\uff0c\u800c\u4e0d\u4e00\u5b9a\u8981\u7edd\u5bf9\u5b8c\u7f8e\u3002\u6f14\u5316\u63d0\u4f9b\u4e86\u4e00\u4e2a\u5728\u65e0\u6bd4\u5de8\u5927\u7684\u53ef\u80fd\u6027\u7a7a\u95f4\u4e2d\u641c\u7d22\u9ad8\u9002\u5e94\u5ea6\u57fa\u56e0\u7ec4\u7684\u7b56\u7565\u3002\u8ba1\u7b97\u673a\u79d1\u5b66\u5bb6\u8fd1\u671f\u8bc1\u660e\u4e86\uff0c\u6f14\u5316\u7684\u4e00\u4e2a\u7b80\u5316\u6a21\u578b\u5728\u6570\u5b66\u4e0a\u7b49\u4ef7\u4e8e\u79ef\u6781\u6027\u6743\u91cd\u66f4\u65b0\u6a21\u578b\uff08multiplicative weight update\uff09\u3002\u6f14\u5316\u6ca1\u6709\u76ee\u6807\uff0c\u5c31\u8fd9\u6837\u53d1\u751f\u4e86\uff0c\u6bcf\u6b65\u90fd\u7531\u524d\u4e00\u6b65\u51b3\u5b9a\u3002<\/p><\/blockquote>\n\n\n\n
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