{"id":26251,"date":"2021-05-14T22:08:08","date_gmt":"2021-05-14T14:08:08","guid":{"rendered":"https:\/\/swarma.org\/?p=26251"},"modified":"2021-05-14T22:08:08","modified_gmt":"2021-05-14T14:08:08","slug":"deepmind%e6%9c%80%e6%96%b0%e6%88%90%e6%9e%9c%ef%bc%9a%e5%8d%9a%e5%bc%88%e8%ae%ba%e8%a7%86%e8%a7%92%e4%b8%8b%e7%9a%84%e4%b8%bb%e6%88%90%e5%88%86%e5%88%86%e6%9e%90","status":"publish","type":"post","link":"https:\/\/swarma.org\/?p=26251","title":{"rendered":"Deepmind\u6700\u65b0\u6210\u679c\uff1a\u535a\u5f08\u8bba\u89c6\u89d2\u4e0b\u7684\u4e3b\u6210\u5206\u5206\u6790"},"content":{"rendered":"
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<\/strong>\u6765\u81eaDeepmind \u7684\u8bba\u6587\u201cEigenGame: PCA as a Nash Equilibrium\u201d\u83b7\u5f97\u4e86ICLR2021\u5e74\u7684\u6770\u51fa\u8bba\u6587\u5956\uff0c\u8be5\u6587\u901a\u8fc7\u591a\u4e3b\u4f53\u5efa\u6a21\uff0c\u7528\u4e00\u4e2a\u5168\u65b0\u7684\u89c6\u89d2\uff0c\u5ba1\u89c6\u4e86\u6570\u636e\u964d\u7ef4\u4e2d\u5e38\u7528\u7528\u7684\u4e3b\u6210\u5206\u5206\u6790\u6cd5\uff08PCA\uff09\u3002<\/strong><\/p>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n

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Brian McWilliams\u3001Ian Gemp\u3001Claire Vernade<\/span> | \u4f5c\u8005<\/strong><\/span><\/strong><\/p>\n

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1. \u4ece\u5355\u4e3b\u4f53\u667a\u80fd\u5230\u591a\u4e3b\u4f53\u5efa\u6a21<\/strong><\/strong><\/p>\n<\/section>\n

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\u73b0\u4ee3\u4eba\u5de5\u667a\u80fd\u7cfb\u7edf\u5904\u7406\u8bf8\u5982\u8bc6\u522b\u56fe\u50cf\u4e2d\u7684\u7269\u4f53\u3001\u9884\u6d4b\u86cb\u767d\u8d28\u76843D\u7ed3\u6784\u8fd9\u6837\u7684\u4efb\u52a1\uff0c\u5c31\u50cf\u4e00\u4e2a\u52e4\u594b\u7684\u5b66\u751f\u51c6\u5907\u8003\u8bd5\u4e00\u6837\u2014\u2014\u901a\u8fc7\u5bf9\u8bb8\u591a\u6b21\u7684\u8bad\u7ec3\uff0c\u5b83\u4eec\u53ef\u4ee5\u9010\u6e10\u51cf\u5c11\u81ea\u5df1\u7684\u9519\u8bef\u7387\uff0c\u76f4\u5230\u53d6\u5f97\u6210\u529f\u3002\u8fd9\u662f\u4e00\u9879\u5b64\u72ec\u7684\u52aa\u529b\uff0c\u4e5f\u662f\u673a\u5668\u5b66\u4e60\u4e2d\u901a\u7528\u7684\u5b66\u4e60\u65b9\u5f0f\u3002<\/span>
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\u4eba\u7c7b\u7684\u5b66\u4e60\u662f\u901a\u8fc7\u4e0e\u4ed6\u4eba\u4e92\u52a8\u4e0e\u73a9\u800d\u6765\u8fdb\u884c\u7684\u3002\u4e00\u4e2a\u4eba\u72ec\u81ea\u89e3\u51b3\u6781\u5176\u590d\u6742\u7684\u95ee\u9898\u662f\u5f88\u5c11\u89c1\u7684\u3002\u901a\u8fc7\u8ba9\u6c42\u89e3\u95ee\u9898\u5177\u5907\u7c7b\u4f3c\u6e38\u620f\u7684\u4e92\u52a8\u6027\uff0c DeepMind \u5df2\u7ecf\u6210\u529f\u8bad\u7ec3\u4e86\u4eba\u5de5\u667a\u80fd\u8fdb\u884c Capture the Flag \u6e38\u620f\uff0c\u5e76\u5728\u661f\u9645\u4e89\u9738\u4e2d\u8fbe\u5230\u4eba\u7c7b\u5927\u5e08\u7684\u6c34\u5e73\u3002\u8fd9\u4f7f\u7814\u7a76\u4eba\u5458\u60f3\u77e5\u9053\uff0c\u4ee5\u535a\u5f08\u8bba\u7684\u89c6\u89d2\u770b\u5f85\u6a21\u578b\uff0c\u53ef\u5426\u5e2e\u52a9\u89e3\u51b3\u5176\u4ed6\u57fa\u672c\u7684\u673a\u5668\u5b66\u4e60\u95ee\u9898\u3002<\/strong><\/span><\/p>\n


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\u4e3b\u6210\u5206\u5206\u6790<\/span>\uff08Principal Component Analysis\uff0cPCA\uff09<\/span>\u4e8e20\u4e16\u7eaa\u521d\u671f\u88ab\u63d0\u51fa\uff0c\u662f\u9ad8\u7ef4\u6570\u636e\u5904\u7406\u6d41\u7a0b\u4e2d\u7684\u7b2c\u4e00\u6b65\uff1a\u901a\u8fc7\u6570\u636e\u805a\u7c7b\uff0c\u8ba9\u6570\u636e\u964d\u7ef4\u548c\u53ef\u89c6\u5316\u53d8\u5f97\u5bb9\u6613\uff1b\u540c\u65f6\u4e5f\u4f7f\u5f97\u5728\u5206\u7c7b\u53ca\u56de\u5f52\u4efb\u52a1\u4e2d\uff0c\u5b66\u5230\u6570\u636e\u7684\u4f4e\u7ef4\u8868\u5f81\u6210\u4e3a\u53ef\u80fd\u3002<\/span>\u5728 Deepmind \u7684\u8bba\u6587\u4e2d\uff0c\u7814\u7a76\u4eba\u5458\u5c06\u4e3b\u6210\u5206\u5206\u6790\u91cd\u65b0\u8868\u8ff0\u4e3a\u4e00\u4e2a\u7ade\u4e89\u6027\u7684\u591a\u4e3b\u4f53\u535a\u5f08\uff0c\u5c06\u5176\u79f0\u4e3a\u7279\u5f81\u503c\u6e38\u620f\uff08EigenGame\uff09\u3002<\/span><\/strong><\/span><\/p>\n


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\u4e3b\u6210\u5206\u5206\u6790\u901a\u5e38\u88ab\u8868\u8ff0\u4e3a\u4e00\u4e2a\u6700\u4f18\u5316\u95ee\u9898<\/span>\uff08\u6216\u5355\u4e3b\u4f53\u95ee\u9898\uff09<\/span>\u3002\u7136\u800c\uff0c\u8be5\u6587\u63d0\u51fa\uff0c\u591a\u4e3b\u9898\u5efa\u6a21\u5e26\u6765\u4e86\u65b0\u7684\u6d1e\u5bdf\u529b\u548c\u7b97\u6cd5\uff1a\u5229\u7528\u6700\u65b0\u7684\u8ba1\u7b97\u8d44\u6e90\u3002\u8fd9\u4f7f\u4e3b\u6210\u5206\u5206\u6790\u80fd\u591f\u6269\u5c55\u5230\u4ee5\u524d\u9700\u8981\u592a\u591a\u8ba1\u7b97\u8d44\u6e90\u7684\u5927\u89c4\u6a21\u6570\u636e\u96c6\uff0c\u5e76\u4e3a\u672a\u6765\u7684\u63a2\u7d22\u63d0\u4f9b\u4e86\u4e00\u79cd\u66ff\u4ee3\u65b9\u6cd5\u3002<\/span><\/p>\n


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\u6700\u521d\u7684\u4e3b\u6210\u5206\u5206\u6790\uff0c\u662f\u7531\u7eb8\u548c\u7b14\u5b8c\u6210\u7684\uff0c\u4e4b\u540e\u8f6c\u79fb\u5230\u6570\u636e\u4ed3\u5e93\u7684\u8ba1\u7b97\u4e2d\u5fc3\u3002\u4f46\u968f\u7740\u6570\u636e\u96c6\u7684\u589e\u5927\uff0c\u8fd9\u79cd\u5e38\u89c1\u7684\u8ba1\u7b97\u65b9\u6cd5\u5df2\u6210\u4e3a\u8ba1\u7b97\u74f6\u9888\u3002\u7814\u7a76\u4eba\u5458\u5df2\u63a2\u7d22\u4f7f\u7528\u8bf8\u5982\u5f15\u5165\u968f\u673a\u5316\u7b49\u65b9\u5f0f\uff0c\u6765\u6539\u8fdb\u5927\u6570\u636e\u96c6\u4e0a PCA\u7b97\u6cd5\u7684\u6027\u80fd\u3002\u7136\u800c\uff0c\u8fd9\u4e9b\u65b9\u6cd5\uff0c\u7814\u7a76\u8005\u53d1\u73b0\u5176\u65e0\u6cd5\u5229\u7528\u4e3a\u6df1\u5ea6\u5b66\u4e60\u51c6\u5907\u7684\u786c\u4ef6\u8d44\u6e90\uff0c\u4f8b\u5982\u5927\u89c4\u6a21\u5e76\u884c\u7684GPU\u548cTPU\u3002<\/span><\/p>\n


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PCA \u4e0e\u8bb8\u591a\u91cd\u8981\u7684\u673a\u5668\u5b66\u4e60\u548c\u5de5\u7a0b\u95ee\u9898\uff0c\u90fd\u9700\u8981\u5171\u540c\u7684\u89e3\u51b3\u65b9\u6848\uff0c\u5373\u5947\u5f02\u503c\u5206\u89e3<\/span>\uff08singular value decomposition\uff09<\/span>\u3002\u901a\u8fc7\u4ee5\u6b63\u786e\u7684\u65b9\u5f0f\u89e3\u51b3 PCA \u95ee\u9898\uff0c\u8be5\u6587\u63d0\u51fa\u7684\u7b97\u6cd5\u53ef\u4ee5\u66f4\u5e7f\u6cdb\u5730\u5e94\u7528\u4e8e\u673a\u5668\u5b66\u4e60\u6811\u7684\u5404\u4e2a\u5206\u652f\u3002<\/strong><\/span><\/p>\n


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       <\/span><\/span>\u56fe1. <\/span>\u4e00\u7cfb\u5217\u7684\u673a\u5668\u5b66\u4e60\u4efb\u52a1\uff0c\u4f8b\u5982<\/span> <\/span>PCA\u3001\u6700\u5c0f\u4e8c\u4e58\u6cd5\u3001 \u8c31\u805a\u7c7b\uff08Spectral Clustering\uff09\u3001<\/span>\u6f5c\u5728\u8bed\u4e49\u7d22\u5f15\uff08<\/span>Latent Semantic Indexing LSI<\/span>\uff09<\/span>\u548c\u6392\u5e8f\u90fd\u9700\u8981<\/span> <\/span>SV<\/span>D<\/span>\u4e3a\u5176\u57fa\u7840\u3002<\/span><\/section>\n

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\u4f8b\u5982\uff0c\u901a\u8fc7\u63d0\u53d6\u7279\u5f81\u503c\uff0c\u53ef\u4ee5\u5728\u793e\u4ea4\u7f51\u7edc\u4e0a\u8fdb\u884c\u8c31\u805a\u7c7b\uff0c\u5982\u4e0b\u56fe\u6240\u793a\uff0c\u56fe\u50cf\u5c55\u793a\u4e86\u6839\u636e\u591a\u4e3b\u4f53\u5efa\u6a21\u627e\u5230\u7684\u7279\u5f81\u5411\u91cf\uff0c\u7ecf\u8fc7 K-means\u7b97\u6cd5\u5f97\u51fa\u7684\u5bf9\u8138\u4e66\u754c\u9762\u7684\u805a\u7c7b\u53ef\u89c6\u5316\uff0c\u5176\u4e2d\u4e0d\u540c\u989c\u8272\u4ee3\u8868\u771f\u5b9e\u7684\u5206\u7c7b\u6807\u7b7e\uff0c\u4e0d\u540c\u7684\u82b1\u74e3\u4ee3\u8868\u805a\u7c7b\u5f97\u51fa\u7684\u7ed3\u679c\u3002\u7ed3\u679c\u663e\u793a\u805a\u7c7b\u7ed3\u679c\u4e2d7\/8\u7684\u6807\u7b7e\u90fd\u80fd\u5bf9\u5e94\u5230\u771f\u5b9e\u6807\u7b7e\u3002<\/span><\/p>\n


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\u56fe2. \u8138\u4e66\u9875\u9762\u901a\u8fc7\u7279\u5f81\u503c\u6e38\u620f\u805a\u7c7b\u7684\u53ef\u89c6\u5316\uff0c\u6765\u6e90\uff1aEigenGame Unloaded When playing games is better than optimizing Fig 7<\/span><\/section>\n


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\u548c\u4efb\u4f55\u68cb\u7c7b\u6e38\u620f\u4e00\u6837\uff0c\u4e3a\u4e86\u5c06 PCA \u91cd\u65b0\u5b9a\u4e49\u4e3a\u4e00\u79cd\u6e38\u620f\uff0c\u7814\u7a76\u4eba\u5458\u9700\u8981\u4e00\u7cfb\u5217\u7684\u89c4\u5219\u548c\u76ee\u6807\u4f9b\u73a9\u5bb6\u9075\u5faa\u3002\u6709\u8bb8\u591a\u53ef\u80fd\u7684\u65b9\u6cd5\u6765\u8bbe\u8ba1\u8fd9\u6837\u4e00\u4e2a\u535a\u5f08\uff1b\u7136\u800c\uff0c\u5173\u952e\u7684\u601d\u8def\u6765\u81ea\u4e3b\u6210\u5206\u5206\u6790\u672c\u8eab\uff1a\u6700\u4f73\u89e3\u51b3\u65b9\u6848\u7531\u7279\u5f81\u5411\u91cf\u7ec4\u6210\uff0c\u8fd9\u4e9b\u7279\u5f81\u5411\u91cf\u6355\u6349\u6570\u636e\u4e2d\uff0c\u65b9\u5dee\u6700\u5927\u5e76\u4e14\u5f7c\u6b64\u6b63\u4ea4\u7684\u7ef4\u5ea6\u3002<\/strong><\/span>
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       <\/span>\u56fe3. \u8be5\u6e38\u620f\u4e2d\uff0c\u6bcf\u4e2a\u73a9\u5bb6\u90fd\u5e0c\u671b\u5bf9\u9f50\u65b9\u5411\u7684\u5dee\u5f02\u6700\u5927\uff08\u5373\u66f4\u5927\u7684\u6570\u636e\u4f20\u64ad\uff09\uff0c\u4f46\u4e5f\u9700\u8981\u4fdd\u6301\u4e0e\u76f8\u5bf9\u5176\u7f16\u53f7\u8f83\u4f4e\u7684\u73a9\u5bb6\u5448\u6b63\u4ea4\u5782\u76f4\u3002<\/span><\/section>\n


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\u5728\u7279\u5f81\u503c\u6e38\u620f\u4e2d\uff0c\u6bcf\u4e2a\u73a9\u5bb6\u63a7\u5236\u4e00\u4e2a\u7279\u5f81\u5411\u91cf\u3002\u73a9\u5bb6\u901a\u8fc7\u89e3\u91ca\u6570\u636e\u4e2d\u7684\u5dee\u5f02\u6765\u63d0\u9ad8\u4ed6\u4eec\u7684\u5f97\u5206\uff0c\u4f46\u662f\u5982\u679c\u4ed6\u4eec\u4e0e\u5176\u4ed6\u73a9\u5bb6\u592a\u63a5\u8fd1\uff0c\u5c31\u4f1a\u53d7\u5230\u5904\u7f5a\u3002\u8be5\u6e38\u620f\u8fd8\u5efa\u7acb\u4e86\u4e00\u4e2a\u5c42\u6b21\u7ed3\u6784\uff1a\u73a9\u5bb61\u53ea\u5173\u5fc3\u65b9\u5dee\u7684\u6700\u5927\u5316\uff0c\u800c\u5176\u4ed6\u73a9\u5bb6\u5219\u4e0d\u5f97\u4e0d\u540c\u65f6\u62c5\u5fc3\u6700\u5927\u5316\u4ed6\u4eec\u53ef\u89e3\u91ca\u7684\u65b9\u5dee\uff0c\u5e76\u6700\u5c0f\u5316\u4e0e\u7f16\u53f7\u6bd4\u81ea\u5df1\u4f4e\u7684\u73a9\u5bb6\u7684\u76f8\u4f3c\u5ea6\u3002\u8fd9\u79cd\u5956\u52b1\u548c\u60e9\u7f5a\u7684\u7ec4\u5408\u51b3\u5b9a\u4e86\u6bcf\u4e2a\u73a9\u5bb6\u83b7\u5f97\u7684\u6536\u76ca\u51fd\u6570\u3002<\/span><\/p>\n

       <\/span>\u56fe4. \u73a9\u5bb6\u53c2\u4e0e\u7279\u5f81\u503c\u6e38\u620f\u7684\u6536\u76ca\u8ba1\u7b97\u6cd5\u793a\u610f\u56fe<\/span><\/p>\n


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\u901a\u8fc7\u7ecf\u8fc7\u9002\u5f53\u8bbe\u8ba1\u7684\u65b9\u5dee<\/span>\uff08var\uff09<\/span>\u548c\u5bf9\u9f50<\/span>\uff08align\uff09<\/span>\u9879\uff0c\u8be5\u8bba\u6587\u8bc1\u660e\u4e86\uff1a<\/span><\/p>\n


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1\uff09\u5982\u679c\u6240\u6709\u7684\u73a9\u5bb6\u90fd\u8868\u73b0\u6700\u4f18\uff0c\u4ed6\u4eec\u7b49\u4ef7\u4e8e\u4e00\u8d77\u5b9e\u73b0\u4e86\u6e38\u620f\u7684\u7eb3\u4ec0\u5747\u8861\u70b9\uff0c\u800c\u8fd9\u5c31\u662f PCA \u7b97\u6cd5\u7684\u89e3\u51b3\u65b9\u6848\u3002<\/span><\/p>\n


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2\uff09\u5982\u679c\u6bcf\u4e2a\u73a9\u5bb6\u72ec\u7acb\u5730\u4f7f\u7528\u68af\u5ea6\u4e0a\u5347\u6cd5\uff0c\u6700\u5927\u5316\u4ed6\u4eec\u7684\u6548\u7528\uff0c\u90a3\u6700\u4f18\u70b9\u662f\u6709\u53ef\u80fd\u5b9e\u73b0\u7684\u3002<\/span><\/p>\n


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       <\/span>\u56fe5. \u7279\u5f81\u503c\u6e38\u620f\u5f15\u5bfc\u6bcf\u4e2a\u73a9\u5bb6\u6cbf\u7740\u5355\u4f4d\u7403\u9762\u4ece\u7a7a\u7684\u5706\u5708\u8d70\u5411\u5e73\u884c\u7684\u7bad\u5934\uff08\u4ee3\u8868\u627e\u5230\u7684\u7279\u5f81\u5411\u91cf\uff09\u3002\u84dd\u8272\u4ee3\u8868\u73a9\u5bb61\u3002\u7ea2\u8272\u4ee3\u8868\u73a9\u5bb62\u3002\u7eff\u8272\u4ee3\u8868\u73a9\u5bb63\u3002<\/span><\/section>\n


<\/p>\n

       <\/span><\/p>\n

\u56fe6. \u6bcf\u4e2a\u73a9\u5bb6 i \u7684\u6548\u7528\u51fd\u6570\u53d6\u51b3\u4e8e\u7f16\u53f7\u6bd4TA\u5c0f\u7684\u73a9\u5bb6\uff0c\u8fd9\u91cc\u7528\u6709\u5411\u65e0\u73af\u56fe\u6765\u8868\u793a\u3002\u6bcf\u4e2a\u7f16\u53f7\u66f4\u4f4e\u7684\u73a9\u5bb6\u5fc5\u987b\u4ee5\u56fa\u5b9a\u7684\u987a\u5e8f\u6bd4\u5bf9\u5176\u5b83\u73a9\u5bb6\u4f20\u64ad\u5b83\u7684\u5f53\u524d\u5411\u91cf\u3002\uff08\u6765\u6e90\uff1aEigenGame: PCA as a Nash Equilibrium\uff09<\/span><\/section>\n


<\/p>\n

\u7b97\u6cd5\u4e2d\uff0c\u73a9\u5bb6\u80fd\u591f\u540c\u65f6\u72ec\u7acb\u5730\u8fdb\u884c\u68af\u5ea6\u4e0a\u5347\uff0c\u8fd9\u4e00\u7279\u6027\u5c24\u5176\u91cd\u8981\uff0c\u56e0\u4e3a\u5b83\u5141\u8bb8\u8ba9\u8ba1\u7b97\u5206\u5e03\u5728\u51e0\u5341\u4e2a\u8c37\u6b4c\u4e91\u7684TPU\u4e0a\uff0c\u4ece\u800c\u5b9e\u73b0\u4e86\u6570\u636e\u548c\u6a21\u578b\u7684\u5e76\u884c\u8ba1\u7b97\u3002\u8fd9\u4f7f\u5f97\u8be5\u6587\u63d0\u51fa\u7684\u7b97\u6cd5\u80fd\u591f\u9002\u5e94\u771f\u6b63\u7684\u6d77\u91cf\u6570\u636e\u3002\u7279\u5f81\u503c\u6e38\u620f\u80fd\u5728\u6570\u5c0f\u65f6\u5185\u4e3a\u5305\u542b\u6570\u767e\u4e07\u7279\u6027\u6216\u6570\u5341\u4ebf\u884c\u7684\u6570\u636e\u96c6\u627e\u5230\u4e3b\u6210\u5206\u3002<\/strong><\/span><\/p>\n

      <\/span>\u56fe7. \u7279\u5f81\u503c\u6e38\u620f\u5e76\u884c\u8fd0\u7b97\u793a\u610f\u56fe\uff1a\u6bcf\u4e2a\u6709\u8272\u65b9\u5757\u90fd\u662f\u4e00\u4e2a\u72ec\u7acb\u7684\u4e3b\u4f53\u3002\u9996\u5148\uff0c\u6bcf\u4e2a\u4e3b\u4f53\u5728\u4e00\u4e2a\u8bbe\u5907\u4e0a\u8ba1\u7b97\u66f4\u65b0\uff1b\u4e4b\u540e\u6bcf\u4e2a\u4e3b\u4f53\u88ab\u590d\u5236\u5230\u591a\u4e2a\u8bbe\u5907\uff0c\u5e76\u4f7f\u7528\u72ec\u7acb\u7684\u6279\u6b21\u6570\u636e\u8ba1\u7b97\u66f4\u65b0\uff1b\u7136\u540e\u5bf9\u88ab\u590d\u5236\u540e\u7684\u4e0d\u540c\u4e3b\u4f53\u8fdb\u884c\u5e73\u5747\uff0c\u4ee5\u5f62\u6210\u4e00\u4e2a\u66f4\u5065\u58ee\u7684\u66f4\u65b0\u65b9\u5411\u3002<\/span><\/section>\n


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3. \u591a\u667a\u80fd\u4e3b\u4f53\uff0c\u4ece\u4f18\u5316\u5230\u8d6b\u5e03\u6cd5\u5219<\/strong><\/strong><\/p>\n<\/section>\n

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\u901a\u8fc7\u4ece\u591a\u667a\u80fd\u4e3b\u4f53\u7684\u89d2\u5ea6\u5ba1\u89c6 PCA\uff0c\u8be5\u6587\u5bf9\u53ef\u6269\u5c55\u5230\u5927\u6570\u636e\u96c6\u7684\u7b97\u6cd5\u8fdb\u884c\u4e86\u65b0\u9896\u7684\u5206\u6790\u3002\u8be5\u6587\u8fd8\u53d1\u73b0\u4e86\u4e00\u4e2a\u4e0e\u8d6b\u5e03\u6cd5\u5219<\/span>\uff08Hebbian Learning \uff0c\u795e\u7ecf\u5143\u5728\u5b66\u4e60\u65f6\u5982\u4f55\u8c03\u6574\u5176\u8fde\u63a5\u6743\u91cd\uff09<\/span>\u7684\u4ee4\u4eba\u60ca\u8bb6\u7684\u8054\u7cfb\u3002\u5728\u7279\u5f81\u503c\u6e38\u620f\u4e2d\uff0c\u6bcf\u4e2a\u73a9\u5bb6\u6700\u5927\u5316\u4ed6\u4eec\u7684\u6548\u7528\u8fc7\u7a0b\u4e2d\uff0c\u5982\u4f55\u66f4\u65b0\u5176\u7279\u5f81\uff0c\u7c7b\u4f3c\u4e8e\u8d6b\u5e03\u6cd5\u5219\u4e2d\uff0c\u5927\u8111\u5177\u6709\u53ef\u5851\u6027\u7684\u795e\u7ecf\u5143\u7684\u7a81\u89e6\uff0c\u5982\u4f55\u4ece\u5468\u56f4\u7684\u73af\u5883\u4e60\u5f97\u89c4\u5219\u3002\u6309\u7167\u8d6b\u5e03\u6cd5\u5219\uff0c\u66f4\u65b0\u5f97\u51fa\u7684\u8fde\u63a5\u4f1a\u6536\u655b\u5230\u5df2\u77e5\u7684 PCA \u89e3\u51b3\u65b9\u6848\uff0c\u4f46\u5176\u4e2d\u4e0d\u4f1a\u6d3e\u751f\u51fa\u4efb\u4f55\u6548\u7528\u51fd\u6570\u53ca\u5176\u68af\u5ea6<\/strong>\u3002\u535a\u5f08\u8bba\u4e3a\u7814\u7a76\u4eba\u5458\u63d0\u4f9b\u4e86\u4e00\u4e2a\u65b0\u7684\u89c6\u89d2\u6765\u770b\u5f85\u8d6b\u5e03\u6cd5\u5219\uff0c\u540c\u65f6\u4e5f\u4e3a\u4e00\u7cfb\u5217\u673a\u5668\u5b66\u4e60\u95ee\u9898\u63d0\u51fa\u4e86\u89e3\u6cd5\u3002<\/span>
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\u5982\u4f55\u770b\u5f85\u673a\u5668\u5b66\u4e60\uff0c\u5b58\u5728\u4e00\u4e2a\u8fde\u7eed\u7684\u66f2\u7ebf\uff0c\u5176\u4e00\u7aef\u662f\u63d0\u51fa\u4e00\u4e2a\u53ef\u4f18\u5316\u7684\u76ee\u6807\u51fd\u6570\uff1a\u5229\u7528\u51f8\u548c\u975e\u51f8\u4f18\u5316\u7406\u8bba\u6765\u89e3\u51b3\u95ee\u9898\uff0c\u8be5\u65b9\u5411\u53ef\u4ee5\u627e\u51fa\u89e3\u51b3\u65b9\u6848\u7684\u6574\u4f53\u6027\u8d28\u3002\u800c\u5728\u53e6\u4e00\u7aef\u4e0a\uff0c\u662f\u7531\u795e\u7ecf\u79d1\u5b66\u5f15\u53d1\u7684\u7eaf\u8054\u7ed3\u4e3b\u4e49\u65b9\u6cd5\u2014\u2014\u4f8b\u5982\u8d6b\u5e03\u5f0f\u7684\u8fde\u63a5\u66f4\u65b0\u6cd5\u5219\u3002\u4f46\u8be5\u65b9\u6cd5\u4f1a\u4f7f\u5f97\u5bf9\u6574\u4e2a\u7cfb\u7edf\u7684\u5206\u6790\u66f4\u52a0\u56f0\u96be\uff0c\u5e38\u5e38\u9700\u8981\u5bf9\u7cfb\u7edf\u7684\u590d\u6742\u52a8\u529b\u5b66\u8fdb\u884c\u7814\u7a76\u3002<\/span><\/p>\n


<\/p>\n

\u50cf\u7279\u5f81\u6e38\u620f\u8fd9\u6837\u7684\u57fa\u4e8e\u535a\u5f08\u8bba\u7684\u65b9\u6cd5\u4ecb\u4e8e\u4e24\u8005\u4e4b\u95f4<\/span><\/strong>\u3002\u73a9\u5bb6\u7684\u66f4\u65b0\u4e0d\u53d7\u9650\u4e8e\u67d0\u4e2a\u7279\u5b9a\u51fd\u6570\u7684\u68af\u5ea6\uff0c\u53ea\u662f\u5bf9\u5176\u4ed6\u73a9\u5bb6\u5f53\u524d\u7b56\u7565\u7684\u6700\u4f73\u53cd\u5e94\u3002\u6bcf\u4e2a\u4eba\u53ef\u4ee5\u81ea\u7531\u5730\u8bbe\u8ba1\u6548\u7528\u51fd\u6570\u7a0b\u5e8f\uff0c\u4ee5\u53ca\u66f4\u65b0\u4e2d\u6240\u9700\u7684\u7279\u5b9a\u5c5e\u6027<\/span>\uff08\u4f8b\u5982\uff0c\u6307\u5b9a\u7279\u5b9a\u65b9\u5411\u4e0a\u7684\u8fdb\u884c\u65e0\u504f\u7684\u66f4\u65b0\uff0c\u6216\u67d0\u65b9\u5411\u7684\u66f4\u65b0\u9700\u8981\u52a0\u901f\uff09<\/span>\uff1b\u540c\u65f6\uff0c \u591a\u4e3b\u4f53\u6e38\u620f\u7b26\u5408\u7eb3\u4ec0\u5747\u8861\u8fd9\u4e00\u7279\u6027\uff0c\u4ecd\u7136\u5141\u8bb8\u73a9\u5bb6\u5bf9\u7cfb\u7edf\u8fdb\u884c\u6574\u4f53\u7684\u5206\u6790\u3002<\/span><\/p>\n


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\u7279\u5f81\u503c\u6e38\u620f\u4ee3\u8868\u4e86\u4e00\u4e2a\u901a\u8fc7\u8bbe\u8ba1\u591a\u4e3b\u4f53\u6e38\u620f\uff0c\u6765\u89e3\u51b3\u673a\u5668\u5b66\u4e60\u95ee\u9898\u7684\u5177\u4f53\u4f8b\u5b50\uff0c\u5176\u89e3\u51b3\u65b9\u6848\uff0c\u662f\u4e00\u4e2a\u5927\u578b\u591a\u667a\u80fd\u4f53\u7cfb\u7edf\u7684\u8f93\u51fa\u3002\u4e00\u822c\u6765\u8bf4\uff0c\u5c06\u673a\u5668\u5b66\u4e60\u95ee\u9898\u8bbe\u8ba1\u4e3a\u591a\u667a\u80fd\u4f53\u535a\u5f08\u662f\u4e00\u4e2a\u5177\u6709\u6311\u6218\u6027\u7684\u673a\u5236\u8bbe\u8ba1\u95ee\u9898\uff0c\u7136\u800c\uff0c\u7814\u7a76\u4eba\u5458\u5df2\u7ecf\u5229\u7528\u4e24\u4eba\u95f4\u7684\u96f6\u548c\u535a\u5f08\uff0c\u6765\u89e3\u51b3\u673a\u5668\u5b66\u4e60\u95ee\u9898\u3002\u6700\u503c\u5f97\u6ce8\u610f\u6210\u679c\u5c31\u662f<\/span>\u751f\u6210\u6027\u5bf9\u6297\u6027\u7f51\u7edc\uff08GANs\uff09\u8fd9\u4e00\u5efa\u6a21\u65b9\u6cd5\u7684\u6210\u529f\u3002\u8fd9\u63a8\u52a8\u4e86\u4eba\u4eec\u5bf9\u535a\u5f08\u8bba\u4e0e\u673a\u5668\u5b66\u4e60\u4e4b\u95f4\u5173\u7cfb\u7684\u5174\u8da3\u3002<\/span><\/strong><\/span><\/p>\n


<\/p>\n

\u7279\u5f81\u503c\u6e38\u620f\u8d85\u8d8a\u4e86\u4e24\u4eba\u95f4\u7684\u96f6\u548c\u6e38\u620f\uff0c\u5176\u91c7\u7528\u4e86\u66f4\u590d\u6742\u7684\u591a\u73a9\u5bb6\uff0c\u6b63\u548c\u535a\u5f08\u7684\u8bbe\u7f6e\u3002\u8fd9\u4f7f\u5f97\u7b97\u6cd5\u5177\u6709\u4e86\u66f4\u597d\u7684\u5e76\u884c\u6027\uff0c\u4ece\u800c\u53ef\u5b9e\u73b0\u5728\u66f4\u5927\u6570\u636e\u96c6\u4e0a\u7684\u53ef\u6269\u5c55\u6027\u548c\u901f\u5ea6\u4f18\u52bf\u3002\u5b83\u8fd8\u4e3a\u673a\u5668\u5b66\u4e60\u7814\u7a76\u8005\u63d0\u4f9b\u4e86\u4e00\u4e2a\u53ef\u91cf\u5316\u7684\u57fa\u7ebf\uff0c\u4ee5\u6d4b\u8bd5\u65b0\u7684\u591a\u4e3b\u4f53\u5efa\u6a21\u5728\u66f4\u4e30\u5bcc\u7684\u9886\u57df\u2014\u2014\u5982\u5916\u4ea4\u548c\u8db3\u7403\u4e0a\u7684\u5e94\u7528\u3002<\/span><\/p>\n


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\u8be5\u6587\u4f5c\u8005\u5e0c\u671b\u80fd\u7ecf\u7531\u7279\u5f81\u503c\u6e38\u620f\uff0c\u9f13\u52b1\u5176\u4ed6\u4eba\u63a2\u7d22\u8bbe\u8ba1\u7b97\u6cd5\u3001\u667a\u80fd\u4e3b\u4f53\u548c\u667a\u80fd\u7cfb\u7edf\u7684\u65b0\u65b9\u5411\u3002\u671f\u5f85\u672a\u6765\u80fd\u627e\u51fa\u8fd8\u6709\u4ec0\u4e48\u5176\u4ed6\u95ee\u9898\uff0c\u53ef\u4ee5\u88ab\u5b9a\u4e49\u4e3a\u6e38\u620f\u3002\u540c\u65f6\u5e0c\u671b\u8be5\u7814\u7a76\u80fd\u8fdb\u4e00\u6b65\u63d0\u9ad8\u4eba\u4eec\u5bf9\u591a\u667a\u80fd\u4f53\u7684\u667a\u80fd\u672c\u8d28\u7684\u7406\u89e3\u3002<\/span><\/p>\n


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\u6765\u6e90\uff1a<\/span><\/p>\n

https:\/\/deepmind.com\/blog\/article\/EigenGame<\/span><\/p>\n


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\u590d\u6742\u79d1\u5b66\u6700\u65b0\u8bba\u6587<\/strong><\/p>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n

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\u96c6\u667a\u6591\u56fe\u9876\u520a\u8bba\u6587\u901f\u9012\u680f\u76ee\u4e0a\u7ebf\u4ee5\u6765\uff0c\u6301\u7eed\u6536\u5f55\u6765\u81eaNature\u3001Science<\/span>\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<\/span>
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\u63a8\u8350\u9605\u8bfb<\/span><\/strong><\/strong>
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