{"id":23445,"date":"2021-01-21T13:18:10","date_gmt":"2021-01-21T05:18:10","guid":{"rendered":"https:\/\/swarma.org\/?p=23445"},"modified":"2021-01-21T13:18:10","modified_gmt":"2021-01-21T05:18:10","slug":"%e4%ba%ba%e8%84%b8%e5%92%8c%e5%ae%87%e5%ae%99%e6%98%af%e5%95%a5%e5%85%b3%e7%b3%bb%ef%bc%9f%e7%9c%8b%e7%89%a9%e7%90%86%e5%ad%a6%e5%ae%b6%e6%80%8e%e6%a0%b7%e7%94%a8%e9%87%8d%e6%95%b4%e5%8c%96%e7%be%a4","status":"publish","type":"post","link":"https:\/\/swarma.org\/?p=23445","title":{"rendered":"\u4eba\u8138\u548c\u5b87\u5b99\u662f\u5565\u5173\u7cfb\uff1f\u770b\u7269\u7406\u5b66\u5bb6\u600e\u6837\u7528\u91cd\u6574\u5316\u7fa4\u6d41\u6a21\u578b\u91cd\u65b0\u7406\u89e3\u89c6\u89c9"},"content":{"rendered":"
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\u5bfc\u8bed<\/p>\n

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\u6248\u9e3f\u4e1a | \u4f5c\u8005
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\u7b2c\u96f6\u90e8\u5206 \u5e8f<\/p>\n

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\u7b2c\u4e00\u90e8\u5206 \u57fa\u4e8e\u6d41\u6a21\u578b\u7684\u751f\u6210\u6a21\u578b<\/p>\n

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\u56fe1<\/p>\n

\u56fe2<\/p>\n

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\u56fe3<\/p>\n

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\u56fe4<\/p>\n

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<\/div>\n

\u73b0\u5728\u6211\u4eec\u60f3\u53bb\u5bf9\u53d8\u5206\u53c2\u6570\u03b8\u8fdb\u884c\u4f18\u5316\uff0c\u4f7f\u5f97\u5c3d\u53ef\u80fd\u7684\u903c\u8fd1\u76ee\u6807\u6982\u7387\u5bc6\u5ea6\u5206\u5e03\u3002\u5bf9\u4e8e\u4e24\u4e2a\u6982\u7387\u5bc6\u5ea6\u5206\u5e03\u7684\u201c\u8ddd\u79bb\u201d\uff0c\u5176\u4e2d\u4e00\u4e2a\u5e38\u7528\u7684\u6307\u6807\u662fKL\u6563\u5ea6\uff08Kullback-Leibler divergence\uff09\uff0c\u5b83\u7684\u5b9a\u4e49\u662f<\/p>\n

<\/div>\n

KL\u6563\u5ea6\u53ef\u4ee5\u8bc1\u660e\u662f\u4e00\u4e2a\u5927\u4e8e\u7b49\u4e8e0\u7684\u91cf\uff0c\u5f53\u4e24\u4e2a\u6982\u7387\u5bc6\u5ea6\u5b8c\u5168\u4e00\u81f4\u7684\u65f6\u5019\uff0cKL\u6563\u5ea6\u4e3a0\u3002\u6240\u4ee5\u901a\u5e38\u6211\u4eec\u53ef\u4ee5\u53bb\u4f18\u5316\u51cf\u5c0f\u53d8\u5206\u5206\u5e03\u548c\u76ee\u6807\u5206\u5e03\u7684KL\u6563\u5ea6\uff0c\u4f7f\u5f97\u4ed6\u4eec\u66f4\u52a0\u76f8\u8fd1\u3002\uff08\u6ce8\uff1a\u4f46\u662fKL\u6563\u5ea6\u4e0d\u662f\u4e25\u683c\u610f\u4e49\u4e0a\u7684\u8ddd\u79bb\uff0c\u56e0\u4e3ap\u548cq\u4e0d\u5177\u5907\u4ea4\u6362\u5bf9\u79f0\u6027\uff09<\/p>\n


\u56fe5<\/p>\n

\u90a3\u4e48\u6211\u4eec\u8981\u5982\u4f55\u53bb\u6784\u9020\u4e00\u4e2a\u8db3\u591f\u4e00\u822c\u7684\u53cc\u5c04\u53d8\u6362\u4f5c\u4e3a\u53d8\u5206\u5047\u8bbe\u4f7f\u5f97\u5b83\u53ef\u4ee5\u5c3d\u53ef\u80fd\u53bb\u62df\u5408\u4efb\u610f\u7684\u53ef\u9006\u53d8\u6362\uff08\u53cc\u5c04\uff09\u5462\uff1f\u6839\u636e\u6df1\u5ea6\u5b66\u4e60\u7684\u601d\u60f3\uff0c\u6211\u4eec\u53ef\u4ee5\u6784\u9020\u4e00\u4e9b\u76f8\u5bf9\u7b80\u5355\u7684\u53cc\u5c04 Gi \uff0c\u7136\u540e\u628a\u4ed6\u4eec\u5982\u56fe5\u6240\u793a\u4e00\u6837\u7684\u4e32\u8054\u8d77\u6765\uff0c\u4ece\u800c\u5f62\u6210\u4e00\u4e2a\u76f8\u5bf9\u590d\u6742\u7684\u53d8\u5206\u5047\u8bbe\u3002\u8fd9\u6837\u7684\u60f3\u6cd5\u5c31\u548c\u642d\u5efa\u4e50\u9ad8\u79ef\u6728\u4e00\u6837\uff0c\u6211\u4eec\u5e0c\u671b\u6784\u9020\u4e00\u4e9b\u4e50\u9ad8\u79ef\u6728\u7684\u57fa\u672c\u5355\u5143\uff0c\u7136\u540e\u901a\u8fc7\u8fed\u4ee3\u8ba9\u4ed6\u4eec\u6d8c\u73b0\u51fa\u590d\u6742\u7684\u884c\u4e3a\u3002\u8fd9\u70b9\u548c\u51dd\u805a\u6001\u7269\u7406\u4e2d\u7b80\u5355\u7684\u7c92\u5b50\u901a\u8fc7\u76f8\u4e92\u4f5c\u7528\u6765\u6d8c\u73b0\u590d\u6742\u7684\u884c\u4e3a\u4e5f\u6709\u5f02\u66f2\u540c\u5de5\u4e4b\u5999\u3002\u5728\u673a\u5668\u5b66\u4e60\u7684\u7814\u7a76\u4e2d\uff0c\u4eba\u4eec\u63d0\u51fa\u4e86\u4e00\u4e9b\u57fa\u672c\u7684\u53ef\u9006\u53d8\u6362\uff0c\u88ab\u5927\u5bb6\u5e7f\u6cdb\u4f7f\u7528\uff0c\u6bd4\u5982Real NVP\u3001invertible convolution\u3001invertible resnet\u7b49\u7b49\u3002\u5982\u4f55\u6784\u9020\u8868\u8fbe\u80fd\u529b\u5f3a\u4e14\u7b80\u5355\u7684\u53ef\u9006\u53d8\u6362\uff0c\u4e5f\u662f\u751f\u6210\u578b\u6a21\u578b\u7814\u7a76\u7684\u4e00\u4e2a\u91cd\u70b9\u3002\u800c\u6211\u4eec\u672c\u6587\u60f3\u8981\u8ba8\u8bba\u7684\u662f\u5047\u8bbe\u6211\u4eec\u5df2\u7ecf\u62e5\u6709\u4e86\u57fa\u672c\u7684\u53ef\u9006\u53d8\u6362\u4f5c\u4e3a\u4e50\u9ad8\u79ef\u6728\u7684\u8bdd\uff0c\u6211\u4eec\u5e94\u8be5\u6309\u7167\u4ec0\u4e48\u6837\u5b50\u7684\u84dd\u56fe\u6765\u642d\u5efa\u5b83\u4eec\uff0c\u4f7f\u5f97\u4ed6\u4eec\u7ec4\u6210\u4e00\u4e2a\u201d\u667a\u80fd\u201c\u7684\u7f51\u7edc\u80fd\u5904\u7406\u5177\u6709\u591a\u5c42\u6b21\u7279\u70b9\u7684\u81ea\u7136\u4fe1\u53f7\u5462\uff1f<\/p>\n


\u7b2c\u4e8c\u90e8\u5206 \u91cd\u6574\u5316\u7fa4\u6d41\u6a21\u578b\u4e0e\u5168\u606f\u539f\u7406<\/p>\n



\u4e3a\u4e86\u66f4\u597d\u5730\u7406\u89e3\u751f\u6210\u578b\u6a21\u578b\u548c\u7269\u7406\u5b66\u7684\u5173\u7cfb\uff0c\u5148\u8ba9\u6211\u4eec\u6765\u770b\u4e00\u770b\uff08\u91cf\u5b50\uff09\u573a\u8bba\u662f\u5982\u4f55\u4e0e\u8ba1\u7b97\u673a\u79d1\u5b66\u4e2d\u7684\u56fe\u7247\u96c6\u6784\u5efa\u8054\u7cfb\u7684\u3002\u7269\u7406\u5b66\u4e2d\u7684\u573a\uff08field\uff09\u662f\u5bf9\u65f6\u7a7a\u7684\u8fde\u7eed\u6027\u63cf\u8ff0\uff0c\u53ef\u4ee5\u628a\u5b83\u770b\u505a\u662f\u65f6\u7a7a\u5230\u67d0\u4e00\u4e2a\u6d41\u5f62\uff08manifold\uff09\u7684\u6620\u5c04\u3002\u901a\u4fd7\u4e00\u70b9\u8bb2\uff0c\u6211\u4eec\u53ef\u4ee5\u4e3e\u4e00\u4e2a\u4f8b\u5b50\u3002\u5982\u56fe6\u6240\u793a\uff0c\u6211\u4eec\u53ef\u4ee5\u628a\u4e00\u4e2a\u4e8c\u7ef4\u65f6\u7a7a\u7684\u6807\u91cf\u573a\uff08scalar field\uff09\u770b\u505a\u662f\u4e00\u5f20\u7070\u5ea6\u56fe\uff0c\u5373\u6bcf\u4e00\u4e2a\u50cf\u7d20\u70b9\u88ab\u6620\u5c04\u5230\u4e00\u4e2a\u6807\u91cf\u4e0a\uff1b\u800c\u4e8c\u7ef4\u65f6\u7a7a\u7684\u77e2\u91cf\u573a\u53ef\u4ee5\u88ab\u7c7b\u6bd4\u4e3a\u4e00\u5f20RGB\u5f69\u8272\u56fe\u7247\uff0c\u6bcf\u4e2a\u50cf\u7d20\u6709\u4e00\u4e2aRGB\u77e2\u91cf\u6765\u8868\u793a\u989c\u8272\u3002\u8fd9\u6837\u6211\u4eec\u5c31\u53ef\u4ee5\u628a\u7269\u7406\u4e2d\u573a\u8bba\u4e2d\u573a\u7684\u5404\u79cd\u6784\u578b\u770b\u6210\u4e00\u5f20\u5f20\u4e0d\u540c\u7684\u56fe\u7247\u3002\u90a3\u4e48\u6211\u4eec\u600e\u4e48\u901a\u4fd7\u5730\u7406\u89e3\u573a\u8bba\u5462\uff1f<\/p>\n


\u56fe6<\/p>\n

\u573a\u8bba\u7ed9\u6bcf\u4e00\u4e2a\u573a\u7684\u6784\u578b\u8bbe\u5b9a\u4e86\u4e00\u4e2a\u6982\u7387\u6216\u8005negative log-likelihood\uff0c\u5c31\u5982\u56fe7\u6240\u793a\u3002\u90a3\u4e48\u6709\u7684\u573a\u7684\u6784\u578b\u51fa\u73b0\u7684\u6982\u7387\u8f83\u5927\uff0c\u6709\u7684\u573a\u6784\u578b\u51fa\u73b0\u7684\u6982\u7387\u8f83\u5c0f\u3002\u8fd9\u5c31\u7c7b\u4f3c\u4e8e\u4eba\u8138\u56fe\u7247\u96c6\u4e2d\u4eba\u8138\u51fa\u73b0\u7684\u6982\u7387\u5c31\u6bd4\u767d\u566a\u58f0\u51fa\u73b0\u7684\u6b21\u6570\u8981\u591a\u5f97\u591a\u3002\u5982\u6b64\u770b\u6765\uff0c\u5927\u81ea\u7136\u672c\u8eab\u5c31\u662f\u4e00\u4e2a\u751f\u6210\u6a21\u578b\uff0c\u5b83\u65e0\u65f6\u65e0\u523b\u4e0d\u5728\u4e3a\u6211\u4eec\u751f\u6210\u548c\u5c55\u73b0\u5b83\u81ea\u5df1\u7f8e\u4e3d\u7684\u56fe\u7247\u3002\u800c\u4ece\u8fd9\u4e2a\u89d2\u5ea6\u6765\u770b\uff0c\u4eba\u5de5\u667a\u80fd\u4e2d\u7684\u751f\u6210\u578b\u6a21\u578b\u4e5f\u662f\u5bf9\u573a\u8bba\u7684\u4e00\u4e2a\u5f88\u81ea\u7136\u7684\u63cf\u8ff0\u3002\u6240\u4ee5\u6211\u4eec\u81ea\u7136\u4f1a\u60f3\u77e5\u9053\u5982\u4f55\u53ef\u4ee5\u6784\u5efa\u4e00\u4e2a\u4eba\u5de5\u667a\u80fd\u7684\u751f\u6210\u6a21\u578b\u6765\u63cf\u8ff0\u573a\u8bba\uff0c\u63cf\u8ff0\u81ea\u7136\u3002\u5f53\u6211\u4eec\u7ed9\u8fd9\u4e2aAI\u4e00\u4e2a\u573a\u8bba\u7684\u63cf\u8ff0\uff08action\uff09\u4e4b\u540e\uff0c\u5b83\u662f\u4e0d\u662f\u80fd\u5b66\u4e60\u51fa\u7269\u7406\uff0c\u7136\u540e\u50cf\u5927\u81ea\u7136\u4e00\u6837\u4e3a\u6211\u4eec\u751f\u6210\u7b26\u5408\u8fd9\u4e2a\u573a\u8bba\u63cf\u8ff0\u7684\u573a\u6784\u578b\u5462\uff1f<\/p>\n


\u56fe7<\/p>\n

\u5927\u81ea\u7136\u4e2d\u7684\u4fe1\u53f7\u662f\u5206\u5c3a\u5ea6\u7684\u3002\u5728\u6bcf\u4e2a\u5c3a\u5ea6\u90fd\u6d8c\u73b0\u51fa\u4e86\u4e0d\u540c\u7684\u6709\u6548\u7406\u8bba\uff0c\u5c31\u5982\u56fe8\u4e2d\u8fd9\u4e2a\u86c7\u5f62\u56fe\u6848\u7ed9\u6211\u4eec\u5c55\u73b0\u4e00\u6837\u3002\u5728\u5fae\u89c2\u5c3a\u5ea6\u6211\u4eec\u5177\u6709\u91cf\u5b50\u529b\u5b66\u3001\u7c92\u5b50\u7269\u7406\u5b66\u3002\u5982\u679c\u6211\u4eec\u628a\u89c2\u5bdf\u7684\u5c3a\u5ea6\u518d\u653e\u5927\u4e00\u4e9b\uff0c\u6211\u4eec\u5c31\u4f1a\u6709\u5316\u5b66\u3001\u751f\u7269\u5b66\u7b49\u7b49\u3002\u51dd\u805a\u6001\u7269\u7406\u5b66\u5927\u5e08 P. W. Anderson \u5148\u751f\u572870\u5e74\u4ee3\u64b0\u5199\u8fc7\u4e00\u7bc7\u540d\u4e3a\u201cmore is different\u201d\u7684\u6587\u7ae0\u3002\u6587\u4e2d\u5411\u5927\u5bb6\u9610\u8ff0\u4e86\u968f\u7740\u4f53\u7cfb\u4e2d\u5ba2\u4f53\u6570\u91cf\u7684\u589e\u52a0\uff0c\u7531\u4e8e\u591a\u4e2a\u5ba2\u4f53\u95f4\u7684\u76f8\u4e92\u4f5c\u7528\uff0c\u6574\u4f53\u53ef\u80fd\u6d8c\u73b0\u51fa\u590d\u6742\u7684\u884c\u4e3a\uff0c\u5e76\u4e14\u8fd9\u4e9b\u884c\u4e3a\u662f\u5355\u4e2a\u5ba2\u4f53\u6240\u4e0d\u5177\u5907\u7684\u3002\u8fd9\u4e5f\u662f\u4e3a\u4ec0\u4e48\u4e0d\u540c\u5c3a\u5ea6\u4f1a\u6d8c\u73b0\u51fa\u4e0d\u540c\u7684\u7406\u8bba\u7684\u4e00\u4e2a\u539f\u56e0\u3002\u90a3\u4e48\u6709\u6ca1\u6709\u4e00\u4e2a\u7406\u8bba\u53ef\u4ee5\u4f5c\u4e3a\u6865\u6881\u6765\u94fe\u63a5\u4e0d\u540c\u5c3a\u5ea6\u7684\u7406\u8bba\u5462\uff1f\u5728\u7269\u7406\u5b66\u4e2d\uff0c\u8fd9\u6837\u7684\u7406\u8bba\u53eb\u505a\u91cd\u6574\u5316\u7fa4\uff08renormalization group\uff09\u3002<\/p>\n


\u56fe8<\/p>\n


\u56fe9<\/p>\n

\u7b80\u5355\u6765\u8bf4\uff0c\u6211\u4eec\u53ef\u4ee5\u628a\u91cd\u6574\u5316\u7fa4\u7684\u64cd\u4f5c\u60f3\u8c61\u6210\u5bf9\u56fe\u7247\u4e0d\u65ad\u8fdb\u884c\u5c40\u90e8\u7c97\u7c92\u5316\u7684\u64cd\u4f5c\uff0c\u4ece\u800c\u6211\u4eec\u5bf9\u4e8e\u4f53\u7cfb\u7684\u63cf\u8ff0\u4e5f\u4ece\u5fae\u89c2\uff08UV\uff09\u53d8\u5f97\u8d8a\u6765\u8d8a\u5b8f\u89c2\uff08IR\uff09\uff0c\u901a\u8fc7\u4e0d\u65ad\u7684\u62b9\u53bb\u7ec6\u8282\u4e0d\u91cd\u8981\u7684\u4fe1\u606f\uff0c\u6211\u4eec\u5f97\u5230\u7684\u662f\u5bf9\u4f53\u7cfb\u66f4\u52a0\u91cd\u8981\u7684\u5b8f\u89c2\u4fe1\u606f\u3002\u8fd9\u4e2a\u8fc7\u7a0b\u4e5f\u53ef\u4ee5\u7528\u56fe9\u7684\u5361\u901a\u6765\u8fdb\u884c\u5c55\u793a\u3002\u5f53\u7136\uff0c\u5bf9\u4e8e\u4f20\u7edf\u7684\u7269\u7406\u4f53\u7cfb\uff0c\u5c40\u90e8\u7c97\u7c92\u5316\u7684\u89c4\u5219\u662f\u7269\u7406\u5b66\u5bb6\u901a\u8fc7\u5bf9\u7269\u7406\u4f53\u7cfb\u7684\u5206\u6790\u548c\u4eba\u7c7b\u7684\u667a\u6167\u6765\u5b9a\u4e49\u7684\u3002\u81ea\u7136\u6211\u4eec\u4e5f\u4f1a\u60f3\u5230\uff0c\u5982\u679c\u751f\u6210\u578b\u6a21\u578bAI\u662f\u5927\u81ea\u7136\u7684\u4e00\u4e2a\u5047\u8bbe\uff08ansatz)\uff0c\u90a3\u4e48\u5b83\u80fd\u4e0d\u80fd\u4e5f\u81ea\u5df1\u5b9a\u4e49\u5c40\u90e8\u7c97\u7c92\u5316\u7684\u89c4\u5219\uff0c\u6765\u5206\u6790\u51fa\u4f53\u7cfb\u4e2d\u54ea\u4e9b\u4fe1\u53f7\u662f\u5c40\u90e8\u7684\uff0c\u800c\u54ea\u4e9b\u4fe1\u53f7\u662f\u5b8f\u89c2\u7684\u5462\uff1f\u901a\u8fc7\u5bf9\u8fd9\u4e9b\u95ee\u9898\u7684\u601d\u8003\uff0c\u6211\u4eec\u4e00\u540c\u63d0\u51fa\u4e86\u91cd\u6574\u5316\u7fa4\u7684\u6d41\u6a21\u578b\u548c\u91cd\u6574\u5316\u7fa4\u7684\u4fe1\u606f\u5b66\u7406\u8bba\u3002<\/p>\n

\u9996\u5148\uff0c\u6211\u4eec\u770b\u5230\u4e86\u5728\u4f20\u7edf\u610f\u4e49\u91cd\u6574\u5316\u7fa4\u7c97\u7c92\u5316\u7684\u8fc7\u7a0b\u4e0b\uff0c\u5c40\u90e8\u4fe1\u606f\u662f\u88ab\u4e22\u5f03\u6389\u4e86\u3002\u8fd9\u6837\u5177\u6709\u5c40\u90e8\u4fe1\u606f\u635f\u5931\u800c\u9020\u6210\u4e86\u4f20\u7edf\u610f\u4e49\u4e0b\u7684\u91cd\u6574\u5316\u7fa4\u64cd\u4f5c\u662f\u4e0d\u53ef\u9006\u7684\u3002\u6240\u4ee5\u6211\u4eec\u6269\u5c55\u4e86\u91cd\u6574\u5316\u7fa4\u7684\u64cd\u4f5c\uff0c\u4e0e\u5176\u5728\u5c40\u90e8\u7c97\u7c92\u5316\u7684\u8fc7\u7a0b\u4e2d\u62b9\u53bb\u4e0d\u91cd\u8981\u7684\u7ec6\u8282\u4fe1\u606f\uff0c\u6211\u4eec\u53ef\u4ee5\u4e0d\u53bb\u4e22\u6389\u5b83\uff0c\u800c\u662f\u628a\u5b83\u7559\u4e0b\u6765\u653e\u5230\u4e00\u4e2a\u201c\u5bb9\u5668\u201d\u4e2d\u5b58\u7740\u5b83\u3002\u8fd9\u6837\u5982\u679c\u6211\u4eec\u60f3\u4ece\u5927\u5c3a\u5ea6\u7684\u56fe\u7247\u51fa\u53d1\uff0c\u53cd\u5411\u8fd8\u539f\u7ec6\u8282\u56fe\u7247\u7684\u8bdd\u6211\u4eec\u5c31\u53ef\u4ee5\u518d\u4e00\u6b21\u628a\u201c\u5bb9\u5668\u201d\u4e2d\u7559\u4e0b\u7684\u8fd9\u4e9b\u4fe1\u606f\u7247\u6bb5\u8865\u56de\u53bb\uff0c\u5c31\u5982\u56fe10\u6240\u793a\u3002\uff08\u5173\u4e8e\u7f51\u7edc\u66f4\u591a\u7684\u7ec6\u8282\u6b22\u8fce\u9605\u8bfb\u6211\u4eec\u7684\u6587\u7ae0\uff0c\u6216\u8054\u7cfb\u4f5c\u8005\uff09<\/p>\n


\u56fe10<\/p>\n


\u56fe11<\/p>\n

\u6211\u4eec\u8bbe\u8ba1\u4e86\u5177\u6709\u591a\u5c42\u7ea7\u5c40\u90e8\u64cd\u4f5c\u7684\u795e\u7ecf\u7f51\u7edc\uff08\u56fe11\uff09\u3002\u4f46\u662f\u5982\u4f55\u4fdd\u8bc1\u8fd9\u4e9b\u5c40\u90e8\u64cd\u4f5c\u5b8c\u6210\u7684\u662f\u91cd\u6574\u5316\u7fa4\u64cd\u4f5c\u5462\uff1f\u4e3a\u6b64\u6211\u4eec\u5728\u6587\u7ae0\u4e2d\u4e5f\u8ba8\u8bba\u4e86\u91cd\u6574\u5316\u7fa4\u7684\u4fe1\u606f\u5b66\u7406\u8bba\uff0c\u53ef\u4ee5\u7b80\u5355\u5730\u7406\u89e3\u4e3a\u673a\u5668\u9700\u8981\u628a\u5c40\u90e8\u64cd\u4f5c\u4e2d\u4e22\u5230\u201c\u5bb9\u5668\u201d\u4e2d\u4fdd\u5b58\u4e0b\u6765\u4e0d\u91cd\u8981\u7684\u4e1c\u897f\u5c3d\u53ef\u80fd\u50cf\u767d\u566a\u58f0\u3002\u901a\u8fc7\u8fd9\u6837\u7684\u4fe1\u606f\u5b66\u6307\u5bfc\u548c\u5177\u6709\u591a\u5c42\u7ea7\u5c40\u90e8\u64cd\u4f5c\u7684\u795e\u7ecf\u7f51\u7edc\u7ed3\u6784\uff0c\u6211\u4eec\u7684\u201c\u4eba\u5de5\u7269\u7406\u5b66\u5bb6\u201d\u5df2\u7ecf\u642d\u5efa\u5b8c\u5907\u4e86\uff01\u4e3a\u4e86\u68c0\u6d4b\u5b83\u662f\u4e0d\u662f\u5177\u6709\u5206\u6790\u7269\u7406\u4f53\u7cfb\u6027\u8d28\uff0c\u548c\u751f\u6210\u7269\u7406\u4f53\u7cfb\u6784\u578b\u7684\u80fd\u529b\uff0c\u6211\u4eec\u62ff\u7269\u7406\u4e2dcomplex phi-4\u573a\u8bba\u6765\u5bf9\u5b83\u8fdb\u884c\u4e86\u6d4b\u8bd5\u3002<\/p>\n


\u56fe12<\/p>\n

\u5b83\u5728\u4e00\u5b9a\u6781\u9650\u4e0b\u7684\u7b80\u6613\u6a21\u578b\u53ef\u4ee5\u7406\u89e3\u4e3a\u5728\u4e00\u4e2a\u4e8c\u7ef4\u7f51\u683c\u4e0a\u6bcf\u4e2a\u8282\u70b9\u653e\u7f6e\u4e00\u4e2a\u5c0f\u78c1\u9488\u3002\u5c0f\u78c1\u9488\u5728\u4e00\u5b9a\u6e29\u5ea6\u4e0b\u7531\u4e8e\u70ed\u6da8\u843d\u5e0c\u671b\u5728\u683c\u70b9\u4e0a\u968f\u610f\u8f6c\u5708\u3002\u800c\u5c0f\u78c1\u9488\u4e4b\u95f4\u4e5f\u4f1a\u6709\u76f8\u4e92\u4f5c\u7528\u529b\uff0c\u5b83\u4eec\u559c\u6b22\u4e00\u81f4\uff0c\u800c\u4e0d\u559c\u6b22\u201c\u5f02\u7c7b\u201d\u3002\u4e5f\u5c31\u662f\u8bf4\u5b83\u4eec\u90fd\u6307\u5411\u540c\u4e00\u4e2a\u65b9\u5411\u4f1a\u8ba9\u4ed6\u4eec\u80fd\u91cf\u66f4\u4f4e\uff0c\u66f4\u8212\u670d\u3002\u8fd9\u6837\u4e00\u4e2a\u7b80\u5355\u7684\u4f53\u7cfb\u5177\u6709\u4e30\u5bcc\u7684\u7269\u7406\u5185\u5bb9\uff0c\u4eba\u4eec\u53d1\u73b0\u5728\u4e00\u5b9a\u6e29\u5ea6\u7684\u65f6\u5019\u4f53\u7cfb\u4f1a\u53d1\u751f\u4e00\u4e2a\u76f8\u53d8\u3002\u5728\u4f4e\u6e29\u7684\u65f6\u5019\u5c0f\u78c1\u9488\u90fd\u4f1a\u5f7c\u6b64\u987a\u7740\u5bf9\u65b9\u8fdb\u884c\u6574\u4f53\u7684\u65cb\u8f6c\uff0c\u800c\u5728\u9ad8\u6e29\u7684\u65f6\u5019\u4ed6\u4eec\u5c31\u4f1a\u5b8c\u5168\u65e0\u5e8f\u7684\u5404\u81ea\u968f\u610f\u65cb\u8f6c\u3002\u8fd9\u4e2a\u76f8\u53d8\u4e5f\u662f2016\u5e74\u8bfa\u8d1d\u5c14\u7269\u7406\u5b66\u5956\u7684\u91cd\u8981\u5de5\u4f5c\u4e4b\u4e00\u3002\u56fe13\u5361\u901a\u5c55\u793a\u4e86\u5c0f\u78c1\u9488\u6a21\u578b\u7684\u4e00\u4e2a\u573a\u6784\u578b\u3002<\/p>\n

\u56fe13<\/p>\n

\u73b0\u5728\u6211\u4eec\u7ed9\u4e86\u673a\u5668\u5bf9\u4e8e\u8fd9\u4e2a\u4f53\u7cfb\u6700\u4e3a\u7cbe\u7b80\u7684\u63cf\u8ff0\uff0c\u5373\u80fd\u91cf\u51fd\u6570\uff0c\u5b83\u662f\u4e0d\u662f\u80fd\u53d1\u73b0\u8fd9\u4e9b\u6709\u8da3\u7684\u7269\u7406\u5462\uff1f\u6211\u4eec\u53d1\u73b0\u5bf9\u4e8e\u4e0d\u540c\u7684\u6e29\u5ea6\uff0c\u8fd9\u4e2aAI\u786e\u5b9e\u53ef\u4ee5\u53d1\u73b0\u8fd9\u4e2a\u4f53\u7cfb\u5177\u6709\u4e24\u4e2a\u884c\u4e3a\u4e0d\u540c\u7684\u533a\u95f4\uff0c\u66f4\u4e3a\u51c6\u786e\u5730\u8bf4\u662f\u4e24\u4e2a\u4e0d\u540c\u7684\u76f8\uff08phase\uff09\u3002<\/p>\n

\u56fe14<\/p>\n

\u5982\u56fe14\u6240\u793a\uff0c\u673a\u5668\u53ef\u4ee5\u901a\u8fc7\u8ba1\u7b97\u53d1\u73b0\u5728\u4f4e\u6e29\u7684\u65f6\u5019\u4f53\u7cfb\u662f\u5728\u62c9\u5ef7\u683c\u6db2\u4f53\u76f8\uff0c\u800c\u5728\u9ad8\u6e29\u7684\u65f6\u5019\u4f53\u7cfb\u5728\u65e0\u5e8f\u76f8\uff0c\u66f4\u51c6\u786e\u7684\u673a\u5668\u53ef\u4ee5\u8ba1\u7b97\u51fa\u5728\u4e0d\u540c\u533a\u95f4\u5173\u8054\u51fd\u6570\u884c\u4e3a\u7684\u4e0d\u540c\u3002\u8fd9\u8bf4\u660e\u6211\u4eec\u7684\u6784\u67b6\u7684AI\u53ef\u4ee5\u901a\u8fc7\u80fd\u91cf\u51fd\u6570\u6765\u5b66\u4e60\u5230\u4e00\u4e9b\u6709\u8da3\u7684\u7269\u7406\u3002\u5e76\u4e14\u6211\u4eec\u7684AI\u5728\u8bbe\u8ba1\u7684\u65f6\u5019\u5c31\u5e0c\u671b\u5b83\u80fd\u591f\u81ea\u53d1\u5730\u5206\u6790\u548c\u533a\u5206\u5927\u5c3a\u5ea6\u4f4e\u80fd\u7684\u7269\u7406\u81ea\u7531\u5ea6\u548c\u5c0f\u5c3a\u5ea6\u9ad8\u80fd\u7684\u7269\u7406\u81ea\u7531\u5ea6\uff0c\u6211\u4eec\u4e5f\u5728\u5b9e\u9a8c\u4e2d\u60ca\u559c\u5730\u53d1\u73b0\u5728\u7f51\u7edc\u4e0a\u7aef\u63cf\u8ff0\u5927\u5c3a\u5ea6\u7684\u5730\u65b9\uff0c\u5b83\u627e\u5230\u4e86\u5bf9\u4e8e\u8fd9\u4e2a\u4f53\u7cfb\u4f4e\u80fd\u7684goldstone mode\u3002 \uff08\u6ce8\uff1a\u7406\u8bba\u4e0a\u6b64\u4e8c\u7ef4\u4f53\u7cfb\u6ca1\u6709\u5bf9\u79f0\u6027\u81ea\u53d1\u7834\u7f3a\uff0c\u6240\u4ee5\u4e0d\u5e94\u8be5\u6709goldstone mode\uff0c\u4f46\u662f\u5bf9\u4e8e\u6709\u9650\u5c3a\u5ea6\u4f53\u7cfb\uff0c\u4f53\u7cfb\u5927\u5c0f\u4f1a\u9020\u6210\u5bf9\u79f0\u6027\u7834\u7f3a\uff0c\u6240\u4ee5\u6709\u5bf9\u5e94\u7684goldstone mode\uff09<\/p>\n

\u90a3\u4e48\u6784\u5efa\u4e00\u4e2a\u8fd9\u6837\u7684AI\u201c\u7269\u7406\u5b66\u5bb6\u201d\u6709\u4ec0\u4e48\u7528\u5462\uff1f\u9996\u5148\uff0c\u6211\u4eec\u770b\u5230\u4e86\u5b83\u53ef\u4ee5\u6839\u636e\u4f53\u7cfb\u7684\u6700\u7cbe\u7b80\u63cf\u8ff0\u6765\u53d1\u73b0\u4f53\u7cfb\u4e0d\u540c\u7684\u76f8\uff0c\u5e76\u4e14\u5b83\u80fd\u591f\u533a\u5206\u51fa\u4ec0\u4e48\u662f\u5c40\u90e8\u7ec6\u8282\u4fe1\u606f\u548c\u5b8f\u89c2\u7684\u5927\u5c3a\u5ea6\u4fe1\u606f\u3002\u800c\u4e14\u4f5c\u4e3a\u4e00\u4e2a\u751f\u6210\u578b\u6a21\u578b\uff0c\u5b83\u4e00\u65e6\u5b66\u4e60\u5b8c\u5907\uff0c\u5c31\u53ef\u4ee5\u50cf\u5927\u81ea\u7136\u4e00\u6837\u5f88\u5feb\u5730\u5e2e\u6211\u4eec\u4ea7\u751f\u5bf9\u4e8e\u8fd9\u4e2a\u4f53\u7cfb\u5927\u91cf\u7684\u56fe\u7247\uff08snapshot\uff09\uff0c\u5e2e\u52a9\u6211\u4eec\u5feb\u901f\u6709\u6548\u5730\u6570\u503c\u6a21\u62df\u8fd9\u4e2a\u7269\u7406\u4f53\u7cfb\u3002\u770b\u5230\u8fd9\u91cc\uff0c\u4e0d\u77e5\u9053\u4f60\u662f\u4e0d\u662f\u89c9\u5f97\u8fd9\u4e2a\u5f88\u795e\u5947\u5462\uff1f\u4e0b\u9762\u6211\u4eec\u4ecb\u7ecd\u4e00\u4e9b\u66f4\u52a0\u795e\u5947\u800c\u6709\u8da3\u7684\u7269\u7406\u3002<\/p>\n

\u6211\u4eec\u90fd\u77e5\u9053\u5927\u81ea\u7136\u6709\u56db\u79cd\u57fa\u672c\u7684\u76f8\u4e92\u4f5c\u7528\uff1a1. \u4e07\u7269\u90fd\u6709\u7684\u4e07\u6709\u5f15\u529b\uff1b2. \u638c\u63a7\u7535\u78c1\u7684\u7535\u78c1\u529b\uff1b3. \u5c0f\u5c3a\u5ea6\u4e0a\u7684\u5f31\u76f8\u4e92\u4f5c\u7528\uff1b4. \u6700\u5f3a\u738b\u8005\u5f3a\u76f8\u4e92\u4f5c\u7528\u3002\u90a3\u4e48\u9664\u4e86\u7b2c\u4e00\u79cd\u529b\u4e4b\u5916\u6211\u4eec\u5bf9\u5269\u4e0b\u4e09\u4e2a\u529b\u90fd\u6709\u4e86\u91cf\u5b50\u7406\u8bba\u7684\u63cf\u8ff0\uff0c\u7edf\u4e00\u88ab\u79f0\u4e3a\u6807\u51c6\u6a21\u578b\uff08standard model\uff09\u3002\u5bf9\u4e8e\u5f15\u529b\uff0c\u6211\u4eec\u5bf9\u5b83\u53ea\u6709\u7ecf\u5178\u63cf\u8ff0\uff0c\u6ca1\u6709\u91cf\u5b50\u63cf\u8ff0\u3002\u90a3\u4e48\uff0c\u5f15\u529b\u7a76\u7adf\u662f\u4ec0\u4e48\uff1f\u5728\u8fc7\u53bb\u7684\u5f88\u957f\u65f6\u95f4\u91cc\u5438\u5f15\u4e86\u5927\u91cf\u7684\u7269\u7406\u5b66\u5bb6\u5bf9\u5176\u8fdb\u884c\u7814\u7a76\u3002\u4ece\u7231\u56e0\u65af\u5766\u7684\u7406\u8bba\u4e2d\uff0c\u6211\u4eec\u5b66\u4e60\u5230\u4e86\u5f15\u529b\u53ef\u4ee5\u88ab\u7406\u89e3\u6210\u4e00\u79cd\u65f6\u7a7a\u7684\u626d\u66f2\uff0c\u4e00\u79cd\u65f6\u7a7a\u7684\u51e0\u4f55\u6027\u8d28\u3002\u572821\u4e16\u7eaa\u521d\uff0c\u7269\u7406\u5b66\u5bb6\u80e1\u5b89\uff08Juan Maldacena\uff09\u505a\u51fa\u4e86\u53e6\u4e00\u4e2a\u4ee4\u5927\u5bb6\u5174\u594b\u7684\u53d1\u73b0\uff0c\u5c31\u662f\u67d0\u4e00\u4e9b\u7279\u5b9a\u7684\u91cf\u5b50\u7406\u8bba\u53ef\u4ee5\u770b\u505a\u662f\u4e00\u4e2a\u7ecf\u5178\u5f15\u529b\u7406\u8bba\u7684\u8fb9\u754c\uff0c\u5b83\u4eec\u4e25\u683c\u5bf9\u5e94\uff0c\u662f\u5bf9\u540c\u4e00\u79cd\u7269\u4f53\u7684\u4e24\u79cd\u4e0d\u540c\u63cf\u8ff0\u3002\u8fd9\u6837\u7684\u7406\u8bba\u6211\u4eec\u53ef\u4ee5\u79d1\u5e7b\u5730\u60f3\u8c61\u6210\u201c\u74f6\u4e2d\u5b87\u5b99\u201d\uff08\u5982\u56fe15\u6240\u793a\uff09\u3002\u5728\u74f6\u5b50\u7684\u8fb9\u7f18\u4e0a\u751f\u6d3b\u7740\u91cf\u5b50\u7406\u8bba\uff0c\u5b83\u53ef\u80fd\u662f\u4e8c\u7ef4\u7684\uff0c\u90a3\u4e48\u5b83\u5bf9\u5e94\u4e8e\u74f6\u5b50\u91cc\u9762\u5c31\u5b58\u5728\u7740\u4e00\u4e2a\u4e09\u7ef4\u7684\u5b87\u5b99\uff0c\u5177\u6709\u7ecf\u5178\u7684\u5f15\u529b\u3002\u8fd9\u6837\u7684\u4e8b\u60c5\u5c31\u50cf\u770b3D\u7535\u5f71\u4e00\u6837\uff0c\u94f6\u5e55\u4e0a\u662f\u4e00\u4e2a\u4e8c\u7ef4\u7684\u5e73\u9762\uff0c\u4f46\u662f\u4e00\u65e6\u4f60\u5e26\u4e0a\u4e863D\u773c\u955c\uff0c\u5c31\u89c2\u5bdf\u5230\u4e863D\u7684\u201c\u65b0\u4e16\u754c\u201d\u3002\u800c\u8fd9\u4e2a3D\u4e16\u754c\u4e0a\u6240\u6709\u7684\u4fe1\u606f\u5176\u5b9e\u90fd\u5305\u542b\u5728\u8fd9\u4e2a\u4e8c\u7ef4\u94f6\u5e55\u4e0a\u3002<\/p>\n


\u56fe15<\/p>\n

\u90a3\u4e48\u6211\u4eec\u7ed9\u673a\u5668\u751f\u6d3b\u5728\u4e8c\u7ef4\u201c\u94f6\u5e55\u201d\u4e0a\u7684\u91cf\u5b50\u4f53\u7cfb\uff0c\u5b83\u80fd\u4e0d\u80fd\u53d1\u73b0\u8fd9\u4e2a\u94f6\u5e55\u80cc\u540e\u63cf\u8ff0\u76843D\u4e16\u754c\u53d1\u751f\u7684\u4e94\u5f69\u7f24\u7eb7\u7684\u6545\u4e8b\u5462\uff1f\u6211\u4eec\u7528\u91cd\u6574\u5316\u7fa4\u6d41\u6a21\u578b\u8fd9\u4e2a\u4eba\u5de5\u667a\u80fd\u5bf9\u6b64\u8fdb\u884c\u4e86\u6d4b\u8bd5\uff0c\u63d0\u4f9b\u7ed9\u5b83\u201d\u74f6\u5b50\u201c\u8fb9\u754c\u4e0a\u7684\u91cf\u5b50\u4f53\u7cfb\uff0c\u7ecf\u8fc7\u5b66\u4e60\u4e8c\u7ef4\u7684\u91cf\u5b50\u4f53\u7cfb\uff0c\u6211\u4eec\u53d1\u73b0\u5b83\u7684\u4e09\u7ef4\u4f53\u7a7a\u95f4\u786e\u5b9e\u5b58\u5728\u4e00\u4e2a\u6709\u5e8f\u7684\u51e0\u4f55\u7ed3\u6784\uff0c\u4e5f\u5c31\u662f\u5f15\u529b\u4f53\u7cfb\uff0c\u5c31\u5982\u56fe16(b)\u4e2d\u5c55\u793a\u7684\u4e00\u6837\uff0c\u975e\u5e38\u6f02\u4eae\u3002\uff08\u6ce8\uff1a\u66f4\u591a\u4e25\u8c28\u63cf\u8ff0\u89c1\u8bba\u6587\uff09<\/p>\n


\u56fe16<\/p>\n

\u6700\u540e\u501f\u7528\u738b\u78ca\u8001\u5e08\u7684\u4e00\u53e5\u8bdd\u8fdb\u884c\u672c\u7ae0\u7684\u7ed3\u5c3e\uff1a
\u201c\u5982\u679c\u7269\u7406\u5b66\u5bb6\u662f\u628a\u5496\u5561\u53d8\u6210\u516c\u5f0f\u7684\u2019\u673a\u5668\u2019\uff0c\u90a3\u4e48\u751f\u6210\u6a21\u578b\u5c31\u662f\u628a\u516c\u5f0f\u518d\u53d8\u6210\u6211\u4eec\u770b\u5230\u7684\u4e94\u5f69\u7f24\u7eb7\u5927\u81ea\u7136\u7684\u667a\u80fd\u3002\u201d<\/p>\n


\u7b2c\u4e09\u90e8\u5206 \u91cd\u6574\u5316\u7fa4\u6d41\u6a21\u578b\u4e0e\u8ba1\u7b97\u673a\u89c6\u89c9<\/p>\n



<\/p>\n

\u4e0a\u9762\u6211\u4eec\u4ecb\u7ecd\u4e86\u91cd\u6574\u5316\u7fa4\u6d41\u6a21\u578b\u5728\u7269\u7406\u5b66\u4e2d\u7684\u4e00\u4e9b\u5e94\u7528\uff0c\u901a\u8fc7\u5b83\u6765\u6a21\u62df\u7269\u7406\u4f53\u7cfb\u3001\u533a\u5206\u5c0f\u5c3a\u5ea6\u548c\u5927\u5c3a\u5ea6\u7684\u4fe1\u53f7\u3001\u89e3\u7801\u5168\u606f\u5b87\u5b99\u7b49\u7b49\u3002\u4e0b\u9762\u6211\u4eec\u6765\u770b\u4e00\u770b\u8fd9\u4e2a\u7269\u7406\u5b66\u5bb6\u4eec\u7814\u53d1\u7684AI\u5728\u5176\u4ed6\u4efb\u52a1\u4e0a\u6709\u6ca1\u6709\u4ec0\u4e48\u5e94\u7528\u4ef7\u503c\u5462\uff1f<\/p>\n


\u56fe17<\/p>\n

\u5927\u81ea\u7136\u4e2d\u7684\u4f17\u591a\u7684\u4fe1\u53f7\u90fd\u662f\u5177\u6709\u591a\u5c42\u7ea7\u7ed3\u6784\u7684\uff0c\u8fd9\u5c31\u542f\u53d1\u6211\u4eec\u53bb\u63a2\u7d22\u5e94\u7528\u540c\u6837\u7684\u601d\u60f3\u662f\u4e0d\u662f\u80fd\u591f\u6784\u5efa\u4e00\u4e2a\u795e\u7ecf\u7f51\u7edc\u6765\u5904\u7406\u81ea\u7136\u56fe\u7247\u3002\u5c31\u62ff\u56fe17\u7684\u4eba\u8138\u56fe\u7247\u4e3e\u4e2a\u4f8b\u5b50\uff0c\u4e00\u5f20\u4eba\u8138\u7684\u56fe\u7247\uff0c\u5728\u5927\u5c3a\u5ea6\u4e0b\u80fd\u63d0\u4f9b\u7ed9\u6211\u4eec\u7684\u4fe1\u606f\u662f\u8fd9\u4e2a\u4eba\u7684\u6027\u522b\u3001\u5e74\u9f84\u3001\u60c5\u611f\uff08\u6bd4\u5982\u662f\u4e0d\u662f\u5f00\u5fc3\uff09\u7b49\u7b49\uff0c\u5728\u4e2d\u7b49\u5c3a\u5ea6\u4e0a\u7684\u4fe1\u606f\u53ef\u80fd\u662f\u773c\u775b\u5927\u5c0f\u3001\u9f3b\u6881\u9ad8\u4f4e\u3001\u6709\u6ca1\u6709\u53d1\u5e18\u7b49\u7b49\uff0c\u5728\u66f4\u7ec6\u5c0f\u7684\u5c3a\u5ea6\u4e0a\u63d0\u4f9b\u7ed9\u6211\u4eec\u7684\u53ef\u80fd\u662f\u8138\u4e0a\u76b1\u7eb9\u7684\u7eb9\u7406\u3001\u80e1\u987b\u7b49\u7b49\u3002\u8fd9\u4e9b\u90fd\u662f\u8574\u542b\u5728\u4e00\u5f20\u4eba\u8138\u56fe\u7247\u4e2d\u4e0d\u540c\u5c3a\u5ea6\u4e0a\u7684\u4fe1\u606f\u3002\u4eba\u5de5\u667a\u80fd\u5728\u751f\u6210\u201c\u865a\u62df\u201d\u4eba\u8138\u3001\u201c\u865a\u62df\u201d\u89c6\u9891\u4e0a\u5df2\u7ecf\u505a\u5230\u4e86\u7089\u706b\u7eaf\u9752\u7684\u5730\u6b65\uff0c\u503c\u5f97\u4e00\u63d0\u7684\u662f\uff0c\u4e0a\u9762\u4e94\u5f20\u4eba\u8138\u90fd\u662f\u7531\u673a\u5668\u81ea\u4e3b\u751f\u6210\u7684\uff0c\u6211\u4eec\u5f88\u96be\u770b\u51fa\u6765\u5b83\u548c\u4e00\u4e2a\u771f\u6b63\u7684\u4eba\u7684\u7167\u7247\u7684\u533a\u522b\uff08\u6240\u4ee5\u53ef\u80fd\u4e5f\u6ca1\u6709\u7248\u6743\u7684\u95ee\u9898\uff09\u3002\u4f46\u662f\u4ec5\u4ec5\u662f\u751f\u6210\u5f88\u6f02\u4eae\u7684\u56fe\u7247\u8fd8\u6ca1\u6709\u5230\u8fbe\u771f\u6b63\u7684\u667a\u80fd\u3002\u4e3a\u4e86\u66f4\u8fd1\u4e00\u6b65\uff0c\u6211\u4eec\u5e0c\u671b\u8fd9\u4e2a\u673a\u5668\u5728\u751f\u6210\u4e00\u5f20\u4eba\u8138\u56fe\u7247\u7684\u65f6\u5019\uff0c\u4e0d\u4ec5\u53ef\u4ee5\u505a\u5230\u6bd4\u8f83\u6f02\u4eae\uff0c\u800c\u4e14\u5b83\u4e5f\u662f\u77e5\u9053\u81ea\u5df1\u751f\u6210\u7684\u65f6\u5019\u54ea\u90e8\u5206\u662f\u5927\u5c3a\u5ea6\u4fe1\u606f\uff0c\u54ea\u90e8\u5206\u662f\u7ec6\u8282\u4fe1\u606f\u3002\u5c31\u50cf\u4e00\u4e2a\u753b\u5bb6\u5728\u4f5c\u753b\u7684\u65f6\u5019\uff0c\u4f1a\u81ea\u7136\u5730\u5148\u53bb\u52fe\u52d2\u51fa\u4ed6\u60f3\u753b\u7684\u5185\u5bb9\u7684\u8f6e\u5ed3\uff0c\u7136\u540e\u4e0d\u65ad\u5730\u5f80\u91cc\u9762\u5b8c\u5584\u7ec6\u8282\uff0c\u5e76\u4e14\u5f53\u6211\u4eec\u60f3\u5bf9\u67d0\u4e9b\u7ec6\u8282\u505a\u4fee\u6539\u7684\u65f6\u5019\u53ef\u4ee5\u5f88\u81ea\u7136\u5730\u53bb\u4fee\u6539\u3002\u800c\u4e0d\u662f\u5148\u753b\u5de6\u4e0a\u89d2\uff0c\u5b8c\u6210\u4e86\u518d\u753b\u5de6\u4e0b\u89d2\u3002<\/p>\n

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\u56fe18<\/p>\n

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\u56fe19<\/p>\n

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\u56fe20<\/p>\n

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\u6709\u4e86\u66f4\u591a\u7684\u7406\u8bba\u652f\u6491\uff0c\u57fa\u4e8e\u91cd\u6574\u5316\u7fa4\u7684\u89c6\u89c9\u751f\u6210\u6a21\u578b\u4e5f\u7ed9\u4e86\u6211\u4eec\u66f4\u591a\u7406\u8bba\u53ef\u63a7\u7684\u5206\u6790\u3002\u6bd4\u5982\u5f53\u6211\u4eec\u7684\u4eba\u50cf\u56fe\u7247\u4ea7\u751f\u5c40\u90e8\u7684\u7f3a\u5931\u9700\u8981\u590d\u539f\u7684\u65f6\u5019\uff0c\u6211\u4eec\u7684\u7b97\u6cd5\u7406\u8bba\u4e0a\u53ef\u4ee5\u5728\u66f4\u77ed\u7684\u65f6\u95f4\uff08O(Log N)\u7684\u590d\u6742\u5ea6\uff09\u5bf9\u56fe\u7247\u8fdb\u884c\u4fee\u590d\u3002\u5982\u56fe21\u6240\u793a\uff0c\u7b2c\u4e00\u884c\u4e3a\u4eba\u50cf\u539f\u56fe\uff0c\u800c\u7b2c\u4e8c\u884c\u6211\u4eec\u7528\u7ea2\u8272\u7684\u8272\u5757\u6765\u8868\u793a\u6709\u635f\u5931\u7684\u4eba\u50cf\u3002\u7b2c\u4e09\u884c\u662f\u6211\u4eec\u7684\u673a\u5668\u5bf9\u7f3a\u5931\u4fe1\u606f\u586b\u8865\u4e4b\u540e\u7684\u7ed3\u679c\u3002<\/p>\n


\u56fe21<\/p>\n

\u76f8\u4fe1\u5728\u4e0d\u4e45\u7684\u5c06\u6765\uff0c\u6211\u4eec\u4f1a\u770b\u5230\u66f4\u591a\u4eba\u5de5\u667a\u80fd\u4e0e\u7269\u7406\u5b66\uff0c\u79d1\u5b66\u78b0\u649e\u800c\u4ea7\u751f\u7684\u706b\u82b1\u3002\u6700\u540e\uff0c\u5bf9\u4e8e\u66f4\u591a\u52a8\u6001\u56fe\u7247\u7684\u5c55\u793a\u4e0e\u5f00\u6e90\u4ee3\u7801\uff0c\u6211\u4eec\u90fd\u5c06\u63d0\u4f9b\u5728GitHub\u4e0a\uff1a
https:\/\/hongyehu.github.io\/RG-Flow\/<\/p>\n


\u81f4 \u8c22<\/p>\n

\u672c\u6587\u6d89\u53ca\u5230\u7684\u6240\u6709\u5de5\u4f5c\u7531\u4f5c\u8005\u548c\u5176\u5bfc\u5e08\u5c24\u4ea6\u5e84\u3001\u4e2d\u79d1\u9662\u7269\u7406\u6240\u738b\u78ca\u8001\u5e08\u3001\u674e\u70c1\u8f89\u535a\u58eb\u3001\u5434\u5178\u535a\u58eb\u751f\u3001\u4f2f\u514b\u5229\u4eba\u5de5\u667a\u80fd\u5b9e\u9a8c\u5ba4\u9648\u7fbd\u5317\u535a\u58eb\u3001Bruno Olsausen\u6559\u6388\u5408\u4f5c\u5b8c\u6210\u3002\u4f5c\u8005\u8fd8\u5341\u5206\u611f\u8c22\u5728\u4fee\u6539\u6587\u7ae0\u65f6Max Welling\u6559\u6388\u63d0\u51fa\u7684\u5b9d\u8d35\u610f\u89c1\uff0c\u548c\u4e0eKoji Hashimoto\u6559\u6388\u5728\u5168\u606f\u5bf9\u5076\u4e0a\u7684\u4ea4\u6d41\uff0c\u4e0e\u5434\u4ece\u519b\u6559\u6388\u5728\u91cd\u6574\u5316\u7fa4\u4e0a\u7684\u4ea4\u6d41\u3002\u540c\u65f6\u4e5f\u611f\u8c22\u96c6\u667a\u548c\u51ef\u98ce\u57fa\u91d1\u4f1a\u5bf9\u6211\u4eec\u7684\u5927\u529b\u652f\u6301\u3002<\/p>\n

\u5f15\u7528\uff1a[1] Shuo-Hui Li, Lei Wang. Phys. Rev. Lett. 121, 260601
[2] Hong-Ye Hu, Shuo-Hui Li, Lei Wang, Yi-Zhuang You. Phys. Rev. Research 2, 023369
[3] Hong-Ye Hu, Dian Wu, Yi-Zhuang You, Bruno Olsausen, Yubei Chen. ArXiv:2010.00029<\/p>\n

\u8bfe\u7a0b\u63a8\u8350\uff1a\u672c\u89c6\u9891\u662f\u4f5c\u8005\u5bf9\u76f8\u5173\u7814\u7a76\u7684\u8bb2\u89e3
\u8bfe\u7a0b\u5730\u5740\uff1a
https:\/\/campus.swarma.org\/course\/2318\/study<\/p>\n

\u590d\u6742\u79d1\u5b66\u6700\u65b0\u8bba\u6587


\u96c6\u667a\u6591\u56fe\u9876\u520a\u8bba\u6587\u901f\u9012\u680f\u76ee\u4e0a\u7ebf\u4ee5\u6765\uff0c\u6301\u7eed\u6536\u5f55\u6765\u81eaNature\u3001Science\u7b49\u9876\u520a\u7684\u6700\u65b0\u8bba\u6587\uff0c\u8ffd\u8e2a\u590d\u6742\u7cfb\u7edf\u3001\u7f51\u7edc\u79d1\u5b66\u3001\u8ba1\u7b97\u793e\u4f1a\u79d1\u5b66\u7b49\u9886\u57df\u7684\u524d\u6cbf\u8fdb\u5c55\u3002\u73b0\u5728\u6b63\u5f0f\u63a8\u51fa\u8ba2\u9605\u529f\u80fd\uff0c\u6bcf\u5468\u901a\u8fc7\u5fae\u4fe1\u670d\u52a1\u53f7\u300c\u96c6\u667a\u6591\u56fe\u300d\u63a8\u9001\u8bba\u6587\u4fe1\u606f\u3002\u626b\u63cf\u4e0b\u65b9\u4e8c\u7ef4\u7801\u5373\u53ef\u4e00\u952e\u8ba2\u9605\uff1a<\/p>\n

<\/div>\n

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

  \u7269\u7406\u5b66\u5bb6\u8981\u5931\u4e1a\uff1f\u673a\u5668\u5b66\u4e60\u80fd\u81ea\u5b66\u91cf\u5b50\u529b\u5b66\uff01<\/a><\/p>\n

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