{"id":42260,"date":"2023-05-02T18:43:24","date_gmt":"2023-05-02T10:43:24","guid":{"rendered":"https:\/\/swarma.org\/?p=42260"},"modified":"2023-05-02T18:43:24","modified_gmt":"2023-05-02T10:43:24","slug":"nat-commun-%e5%89%8d%e6%b2%bf%ef%bc%9a%e6%b7%b1%e5%ba%a6%e5%bc%ba%e5%8c%96%e5%ad%a6%e4%b9%a0%e6%90%9c%e7%b4%a2%e8%87%aa%e6%97%8b%e7%8e%bb%e7%92%83%e5%9f%ba%e6%80%81","status":"publish","type":"post","link":"https:\/\/swarma.org\/?p=42260","title":{"rendered":"Nat. Commun. \u524d\u6cbf\uff1a\u6df1\u5ea6\u5f3a\u5316\u5b66\u4e60\u641c\u7d22\u81ea\u65cb\u73bb\u7483\u57fa\u6001"},"content":{"rendered":"
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\u4f0a\u8f9b\u81ea\u65cb\u73bb\u7483\u662f\u4e00\u79cd\u7ecf\u5178\u7684\u65e0\u5e8f\u7cfb\u7edf\uff0c\u5df2\u7ecf\u88ab\u7814\u7a76\u4e86\u51e0\u5341\u5e74\u3002\u5b83\u5947\u7279\u7684\u884c\u4e3a\u5f15\u8d77\u4e86\u6570\u5b66\u3001\u8ba1\u7b97\u673a\u79d1\u5b66\u548c\u751f\u7269\u5b66\u7684\u6781\u5927\u5174\u8da3\u3002\u81ea\u65cb\u73bb\u7483\u4e2d\u5185\u751f\u7684\u6dec\u81f4\u65e0\u5e8f<\/span>\uff08quenched disorder\uff0c\u6307\u51b3\u5b9a\u7cfb\u7edf\u884c\u4e3a\u7684\u53c2\u6570\u4e3a\u4e0d\u968f\u65f6\u95f4\u6f14\u53d8\u7684\u968f\u673a\u53d8\u91cf\uff09<\/span>\u4f7f\u5f97\u7cfb\u7edf\u7684\u57fa\u6001\u96be\u4ee5\u641c\u7d22\uff0c\u8fd9\u79cd\u73b0\u8c61\u4e5f\u88ab\u79f0\u4e3a\u963b\u632b<\/span>\uff08frustration\uff0c\u5373\u81ea\u65cb\u7684\u53d6\u5411\u96be\u4ee5\u6ee1\u8db3\u5c40\u90e8\u80fd\u91cf\u6700\u4f4e\u7684\u8981\u6c42\uff09<\/span>\u3002<\/span><\/section>\n

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\uff083\uff09\u8be5\u95ee\u9898\u6709\u52a9\u4e8e\u795e\u7ecf\u7f51\u7edc\u4f18\u5316\u5de5\u5177\u7684\u5f00\u53d1\uff0c\u6709\u5173\u81ea\u65cb\u73bb\u7483\u53ca\u5176\u57fa\u6001\u7684\u7814\u7a76\u63a8\u52a8\u4e86\u7a7a\u8154\u6cd5<\/span>\uff08cavity method\uff09<\/span>\u548c\u7f6e\u4fe1\u4f20\u64ad<\/span>\uff08Belief Propagation\uff09<\/span>\u7b49\u4f18\u5316\u5de5\u5177\u7684\u53d1\u5c55\uff0c\u5e76\u5c06\u8fdb\u4e00\u6b65\u63a8\u52a8\u8ba1\u7b97\u590d\u6742\u6027\u7406\u8bba\u3002<\/span><\/section>\n

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\u5728\u4e09\u7ef4\u6216\u66f4\u9ad8\u7ef4\u4e2d\u641c\u7d22\u81ea\u65cb\u73bb\u7483\u57fa\u6001\u662f NP \u96be\u9898<\/strong>\uff0c\u7cbe\u786e\u7684\u5206\u679d\u5b9a\u754c\u6cd5<\/span>\uff08branch-and-bound approach\uff0c\u5c06\u4f18\u5316\u95ee\u9898\u5206\u89e3\u6210\u66f4\u5c0f\u7684\u5b50\u95ee\u9898\u5e76\u4f7f\u7528\u8fb9\u754c\u51fd\u6570\u6765\u6d88\u9664\u4e0d\u80fd\u5305\u542b\u6700\u4f18\u89e3\u7684\u5b50\u95ee\u9898\uff09<\/span>\u53ea\u80fd\u7528\u4e8e\u975e\u5e38\u5c0f\u7684\u7cfb\u7edf\uff0c\u56e0\u6b64\u6211\u4eec\u5bf9\u4e8e\u8f83\u5927\u89c4\u6a21\u3001\u8f83\u4e00\u822c\u7684\u7cfb\u7edf\u7f3a\u4e4f\u4e00\u79cd\u65e2\u5177\u6709\u9ad8\u7cbe\u5ea6\u53c8\u5177\u6709\u9ad8\u6548\u7387\u7684\u65b9\u6cd5\u3002<\/span><\/section>\n

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\u8fc7\u53bb\u5e38\u5e38\u4f9d\u9760\u542f\u53d1\u5f0f\u65b9\u6cd5\uff0c\u7279\u522b\u662f\u57fa\u4e8e\u70ed\u9000\u706b\u7684\u8499\u7279\u5361\u7f57\u65b9\u6cd5\uff0c\u5982\u6a21\u62df\u9000\u706b<\/span>\uff08SA\uff0csimulated annealing\uff09<\/span>\u3001\u7fa4\u4f53\u9000\u706b\u548c\u5e76\u884c\u9000\u706b<\/span>\uff08PT\uff0cparallel tempering\uff09<\/span>\uff0c\u8fd9\u4e9b\u65b9\u6cd5\u5df2\u7ecf\u5728\u7edf\u8ba1\u7269\u7406\u5b66\u4e2d\u5f97\u5230\u4e86\u5f88\u597d\u7684\u7814\u7a76\u3002\u6700\u8fd1\uff0c\u8bb8\u591a\u7814\u7a76\u8bc1\u660e\u5f3a\u5316\u5b66\u4e60<\/span>\uff08RL\uff0creinforcement learning\uff09<\/span>\u662f\u89e3\u51b3\u8bb8\u591a\u7ec4\u5408\u4f18\u5316\u95ee\u9898\u7684\u6709\u6548\u5de5\u5177\u3002\u4e0e\u4f20\u7edf\u65b9\u6cd5\u76f8\u6bd4\uff0c\u57fa\u4e8e\u5f3a\u5316\u5b66\u4e60\u7684\u65b9\u6cd5\u5728\u7cbe\u5ea6\u548c\u6548\u7387\u95f4\u53d6\u5f97\u4e86\u66f4\u597d\u7684\u5e73\u8861<\/strong>\u3002\u5f53\u524d\u5df2\u6709\u7528\u4e8e\u641c\u7d22\u4e8c\u7ef4\u81ea\u65cb\u73bb\u7483\u7cfb\u7edf\u57fa\u6001\u7684\u5f3a\u5316\u5b66\u4e60\u7b97\u6cd5\uff0c\u4f46\u8be5\u7b97\u6cd5\u65e0\u6cd5\u627e\u5230\u4e09\u7ef4\u6216\u66f4\u9ad8\u7ef4\u5ea6\u81ea\u65cb\u73bb\u7483\u7cfb\u7edf\u7684\u57fa\u6001\u3002\u672c\u6587\u4ecb\u7ecd\u7684 DIRAC \u6846\u67b6\u53ef\u4ee5\u76f4\u63a5\u8ba1\u7b97\u81ea\u65cb\u73bb\u7483\u7684\u57fa\u6001\uff0c\u5177\u6709\u7cbe\u5ea6\u9ad8\u3001\u53ef\u6269\u5c55\u6027\u5f3a\uff0c\u9002\u7528\u4e8e\u4efb\u4f55\u70ed\u9000\u706b\u7b97\u6cd5\u7b49\u4f18\u70b9\u3002<\/span><\/section>\n

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\u4e0e\u8bb8\u591a\u89e3\u51b3\u7ec4\u5408\u4f18\u5316\u95ee\u9898\u7684\u5f3a\u5316\u5b66\u4e60\u6846\u67b6\u7c7b\u4f3c\uff0cDIRAC \u6846\u67b6\u5c06\u81ea\u65cb\u73bb\u7483\u57fa\u6001\u641c\u7d22\u89c6\u4e3a\u9a6c\u5c14\u53ef\u592b\u51b3\u7b56\u8fc7\u7a0b<\/span>\uff08Markov decision process\uff0cMDP\uff09<\/span>\uff0c\u5373\u4e3b\u4f53\u4e0e\u73af\u5883\u76f8\u4e92\u4f5c\u7528\u5e76\u5b66\u4e60\u80fd\u79ef\u7d2f\u6700\u5927\u6536\u76ca\u7684\u6700\u4f18\u7b56\u7565\uff0c\u6839\u636e\u8be5\u7b56\u7565\u4f9d\u6b21\u91c7\u53d6\u957f\u8fdc\u7684\u884c\u52a8\u3002\u4e3a\u4e86\u66f4\u597d\u5730\u63cf\u8ff0\u8fd9\u4e00\u8fc7\u7a0b\uff0c\u9996\u5148\u5728\u4f0a\u8f9b\u81ea\u65cb\u73bb\u7483\u57fa\u6001\u8ba1\u7b97\u7684\u80cc\u666f\u4e0b\u5b9a\u4e49\u4e86\u72b6\u6001\u3001\u884c\u52a8\u548c\u5956\u52b1\u3002<\/span><\/p>\n

\u72b6\u6001<\/strong>\uff1a\u72b6\u6001s\u4ee3\u8868\u89c2\u5bdf\u5230\u7684\u81ea\u65cb\u73bb\u7483\u5b9e\u4f8b\uff0c\u5305\u62ec\u81ea\u65cb\u6784\u578b\u03c3<\/span>i<\/sub><\/span><\/span>\u548c\u8026\u5408\u5f3a\u5ea6Jij<\/sub><\/span>\uff0c\u5728\u6b64\u57fa\u7840\u4e0a\u5c06\u9009\u62e9\u6700\u4f73\u884c\u52a8\u3002<\/span>\u5f53\u4e3b\u4f53\u5c06\u6bcf\u4e2a\u81ea\u65cb\u7ffb\u8f6c\u4e00\u6b21\u540e\uff0c\u8fbe\u6210\u7ec8\u6001ST<\/sub><\/span> \u3002<\/span><\/span><\/p>\n

\u884c\u52a8<\/strong>\uff1a\u884c\u52a8a(i)\u610f\u5473\u7740\u7ffb\u8f6c\u81ea\u65cbi \u3002<\/span><\/p>\n

\u5956\u52b1<\/strong>\uff1a\u5956\u52b1<\/sub><\/span>\u5b9a\u4e49\u4e3a\u5c06\u81ea\u65cbi\u4ece\u72b6\u6001s\u7ffb\u8f6c\u5230\u4e00\u4e2a\u65b0\u7684\u72b6\u6001s’\u4e4b\u540e\u7684\u80fd\u91cf\u53d8\u5316\u3002<\/span><\/section>\n

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\u8be5\u7814\u7a76\u8bd5\u56fe\u901a\u8fc7\u5f3a\u5316\u5b66\u4e60\u6846\u67b6\uff0c\u5b66\u4e60\u4e00\u4e2a\u6700\u4f18\u7b56\u7565\uff0c\u5b83\u63a5\u53d7\u4efb\u610f\u89c2\u6d4b\u72b6\u6001s\uff0c\u5e76\u4ea7\u751f\u6700\u5927\u5316\u672a\u6765\u7d2f\u8ba1\u6536\u76ca\u7684\u81ea\u65cb\u7ffb\u8f6c\u884c\u4e3aa(i)\u3002\u8be5\u6846\u67b6\u80fd\u5426\u6210\u529f\u4e3b\u8981\u53d6\u51b3\u4e8e\u4ee5\u4e0b\u4e24\u4e2a\u5173\u952e\u95ee\u9898\uff1a\uff081\uff09\u5982\u4f55\u6709\u6548\u5730\u8868\u5f81\u72b6\u6001\u548c\u884c\u52a8\uff1f\uff082\uff09\u5982\u4f55\u5229\u7528\u8fd9\u4e9b\u8868\u5f81\u6765\u8ba1\u7b97 Q \u503c<\/strong><\/span>\uff08Q-value\uff0c\u7528\u4e8e\u9884\u6d4b\u5728\u4e00\u79cd\u72b6\u6001\u4e0b\u67d0\u4e2a\u884c\u52a8\u7684\u957f\u671f\u6536\u76ca\uff09<\/span>\u3002\u4f5c\u8005\u4eec\u5c06\u8fd9\u4e24\u4e2a\u95ee\u9898\u5206\u522b\u79f0\u4e3a\u7f16\u7801\u95ee\u9898<\/strong><\/span>\uff08encoding problem\uff09<\/span>\u548c\u89e3\u7801\u95ee\u9898<\/strong><\/span>\uff08decoding problem\uff09<\/span>\u3002\u8be5\u6846\u67b6\u6240\u5b66\u4e60\u7684\u7b56\u7565\u4e5f\u5c31\u662f\u4e00\u7ec4\u7f16\u7801\u53c2\u6570\u548c\u89e3\u7801\u53c2\u6570<\/sub><\/span>\u3002<\/span><\/section>\n

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DIRAC \u5177\u4f53\u8fc7\u7a0b\u5982\u56fe 1 \u6240\u793a\uff0c\u5305\u62ec\u4e24\u4e2a\u9636\u6bb5\uff1a\u79bb\u7ebf\u8bad\u7ec3\u548c\u5728\u7ebf\u5e94\u7528\u3002\u79bb\u7ebf\u8bad\u7ec3\u4e2d\uff0cDIRAC \u4e3b\u4f53\u81ea\u5b66\u968f\u673a\u751f\u6210\u7684\u5c0f\u89c4\u6a21 EA \u81ea\u65cb\u73bb\u7483<\/span>\uff08Edwards-Anderson spin glass\uff09<\/span>\u5b9e\u4f8b\u3002\u5bf9\u4e8e\u6bcf\u4e2a\u5b9e\u4f8b\uff0c\u4e3b\u4f53\u901a\u8fc7\u4e00\u7cfb\u5217\u7684\u72b6\u6001\u3001\u884c\u52a8\u548c\u5956\u52b1\u4e0e\u73af\u5883\u8fdb\u884c\u4ea4\u4e92<\/span>\uff08\u56fe2-a\uff09<\/span>\u3002\u540c\u65f6\uff0c\u8be5\u4e3b\u4f53\u83b7\u5f97\u4e86\u66f4\u65b0\u5176\u53c2\u6570\u7684\u7ecf\u9a8c\uff0c\u4ece\u800c\u63d0\u9ad8\u4e86\u641c\u7d22  EA \u81ea\u65cb\u73bb\u7483\u57fa\u6001\u7684\u80fd\u529b<\/span>\uff08\u56fe2-b\uff0cc\uff09<\/span>\u3002\u5728\u7ebf\u5e94\u7528\u4e2d\uff0c\u8bad\u7ec3\u597d\u7684 DIRAC \u4e3b\u4f53\u53ef\u4ee5\u5e94\u7528\u4e8e\u6bd4\u8bad\u7ec3\u89c4\u6a21\u5927\u5f97\u591a\u7684 EA \u81ea\u65cb\u73bb\u7483\u5b9e\u4f8b\uff0c\u53ef\u4ee5\u76f4\u63a5\u5e94\u7528<\/span>\uff08DIRAC1\uff0c\u56fe2-d\uff09<\/span>\uff0c\u53ef\u4ee5\u8fed\u4ee3\u5e94\u7528<\/span>\uff08DIRACm\uff0c\u56fe2-e\uff09<\/span>\uff0c\u4e5f\u53ef\u4ee5\u5d4c\u5165\u70ed\u9000\u706b\u65b9\u6cd5\u4e2d\u5e94\u7528<\/span>\uff08DIRAC-SA \u548c  DIRAC-PT\uff09<\/span>\u3002<\/span><\/section>\n

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\u56fe2. DIRAC \u6846\u67b6\u6982\u8ff0\u3002\u8be5\u6846\u67b6\u7531\u4e24\u9636\u6bb5\u7ec4\u6210\uff1a\u79bb\u7ebf\u8bad\u7ec3\u548c\u5728\u7ebf\u5e94\u7528\u3002<\/span><\/section>\n

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\uff08\u5de6\u56fe\uff09<\/span>\u8bad\u7ec3\u8fc7\u7a0b\uff0c\u5148\u968f\u673a\u751f\u6210\u5c0f\u89c4\u6a21 EA \u81ea\u65cb\u73bb\u7483\u5b9e\u4f8b\u4f5c\u4e3a\u8bad\u7ec3\u6570\u636e\uff0c\u5176\u8026\u5408\u5f3a\u5ea6\u4ece\u9ad8\u65af\u5206\u5e03\u4e2d\u91c7\u6837\u3002\uff08a\uff09\u5bf9\u4e8e\u6bcf\u4e2aepisode\uff0c\u4e3b\u4f53\u7531\u81ea\u65cb\u5168\u90e8\u5411\u4e0a\u7684\u6784\u578b<\/span>\uff08configuration\uff09<\/span>\u5f00\u59cb\uff0c\u81f3\u81ea\u65cb\u5168\u90e8\u5411\u4e0b\u7684\u6784\u578b\u4e3a\u6b62\uff0c\u6bcf\u4e2a\u81ea\u65cb\u53ea\u7ffb\u8f6c\u4e00\u6b21\u3002\u5bf9\u4e0b\u4e00\u4e2aepisode\uff0c\u91cd\u65b0\u91c7\u6837\u8bad\u7ec3\u5b9e\u4f8b\u3002\u4e3a\u4e86\u786e\u5b9a\u5e94\u8be5\u91c7\u53d6\u7684\u6b63\u786e\u884c\u52a8\uff0cDIRAC \u9996\u5148\u5c06\u6bcf\u4e2a\u8282\u70b9\u7f16\u7801\u4e3a\u5d4c\u5165\u5411\u91cf<\/span>\uff08\u56fe\u4e2d\u8868\u793a\u4e3a\u989c\u8272\u6761\uff09<\/span>\uff0c\u7136\u540e\u4e3a\u6bcf\u4e2a\u9884\u6d4b\u957f\u671f\u6536\u76ca\u7684\u8282\u70b9\u89e3\u7801 Q \u503c<\/span>\uff08\u56fe\u4e2d\u8868\u793a\u4e3a\u9ad8\u5ea6\u4e0e\u503c\u6210\u6b63\u6bd4\u7684\u7eff\u8272\u6761\uff09<\/span>\u3002\uff08b\uff09\u5f53\u4e00\u4e2aepisode\u7ed3\u675f\u540e\uff0c\u6536\u96c6\u8fc7\u7a0b\u8f68\u8ff9\uff0c\u63d0\u53d6\u56db\u5143\u7ec4\u8f6c\u6362<\/span>\uff084-turple transitions\uff09<\/span>\uff0c\u5e76\u5c06\u5176\u63a8\u5165\u7f13\u51b2\u533a<\/span>\uff08experience replay buffer\uff0c\u4fdd\u7559Sbuffer\u6700\u8fd1N\u6b65\u8f6c\u6362\u7684\u961f\u5217\uff09<\/span>\u3002\uff08c\uff09\u4e3a\u66f4\u65b0\u53c2\u6570<\/sub><\/span>\uff0c\u4ece\u7f13\u51b2\u533a\u968f\u673a\u91c7\u6837\u5c0f\u6279\u91cf\u8f6c\u6362\uff0c\u5e76\u4f9d\u636e\u76f8\u5e94\u516c\u5f0f\u68af\u5ea6\u4e0b\u964d\uff0c\u91cd\u590d\u8be5\u8fc7\u7a0b\u76f4\u81f3\u03a9<\/span>=106<\/span><\/sup>\u3002\u9009\u53d6\u8868\u73b0\u6700\u597d\u7684\u6a21\u578b\u4f5c\u4e3a\u6700\u4f18\u6a21\u578b\u3002<\/span><\/section>\n

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\uff08\u53f3\u56fe\uff09<\/span>\u5e94\u7528\u65f6\u6709\u4e24\u79cd\u7b56\u7565\uff1aDIRAC1 \u548c DIRACm\u3002\uff08d\uff09\u5bf9\u4e8e\u4e00\u4e2a\u8f93\u5165\u5b9e\u4f8b\uff0cDIRAC1 \u521d\u59cb\u6784\u578b {\u03c3<\/span>i<\/sub><\/span>=+1}\uff0c\u8d2a\u5a6a\u53cd\u8f6c\u6700\u9ad8Q\u503c\u7684\u81ea\u65cb\u76f4\u5230{<\/span>\u03c3<\/span>i<\/sub><\/span>=-1}<\/span>\u3002\u5c06\u8be5\u8fc7\u7a0b\u51fa\u73b0\u7684\u6700\u4f4e\u80fd\u91cf\u7684\u6784\u578b\u8fd4\u56de\u4e3a\u9884\u6d4b\u57fa\u6001<\/strong>\u3002\uff08e\uff09DIRACm \u6307\u7531\u89c4\u8303\u53d8\u6362<\/span>\uff08gauge trnsformation\uff0cGT\uff09<\/span>\u8fde\u63a5\u7684 DIRAC1 \u7684m\u6b21\u8fed\u4ee3\u7684\u987a\u5e8f\u8fd0\u884c\u3002\u5bf9\u4e8e\u6bcf\u6b21\u8fed\u4ee3\uff0c\u89c4\u8303\u53d8\u6362\u5c06\u4e0a\u6b21\u8fed\u4ee3\u7684\u6700\u4f4e\u80fd\u91cf\u6784\u578b\u8f6c\u6362\u4e3a DIRAC1 \u7684{<\/span>\u03c3<\/span>i<\/sub><\/span>=+1}<\/span>\uff0c\u5e76\u5c06\u5176\u8f6c\u6362\u56de\u5f53\u524d\u8fed\u4ee3\u7684\u8f93\u51fa\u3002<\/span><\/section>\n

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\u4e3a\u6bd4\u8f83 DIRAC \u641c\u7d22\u81ea\u65cb\u73bb\u7483\u57fa\u6001\u7684\u80fd\u529b\uff0c\u8be5\u7814\u7a76\u8bc4\u4f30\u4e86\u4e0d\u540c\u65b9\u6cd5\u5728\u5c0f\u81ea\u65cb\u73bb\u7483\u7cfb\u7edf\u4e0a\u7684\u6548\u679c\uff0c\u7ed3\u679c\u8868\u660e DIRAC \u5728\u57fa\u6001\u641c\u7d22\u4e0a\u8868\u73b0\u4f18\u8d8a<\/span>\uff08\u89c1\u56fe3a-c\uff09<\/span>\uff0c\u5e76\u4e14\u5176\u4f18\u5f02\u8868\u73b0\u5728\u4e0d\u540c\u5927\u5c0f\u7684\u4e0d\u540c\u7cfb\u7edf\u4e2d\u5747\u6301\u7eed\u5b58\u5728<\/strong><\/span>\uff08\u89c1\u56fe3d-f\uff09<\/span>\u3002<\/span><\/section>\n

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\u5bf9\u4e8e\u8f83\u5927\u7684\u7cfb\u7edf\uff0c\u5f88\u96be\u8ba1\u7b97\u7b97\u6cd5\u627e\u5230\u57fa\u6001\u7684\u6982\u7387\uff0c\u56e0\u4e3a\u9700\u8981\u786e\u8ba4\u8ba1\u7b97\u7684\u201c\u57fa\u6001\u201d\u662f\u5426\u662f\u7cbe\u786e\u6c42\u89e3\u5668\u83b7\u5f97\u7684\u771f\u6b63\u7684\u57fa\u6001\uff0c\u7136\u800c\u5373\u4f7f\u662f\u6700\u597d\u7684\u5206\u679d\u5b9a\u754c\u6c42\u89e3\u5668\uff0c\u4e5f\u4e0d\u80fd\u5728\u53ef\u63a5\u53d7\u7684\u65f6\u95f4\u5185\u8ba1\u7b97\u975e\u5e38\u5927\u7684\u5b9e\u4f8b\u7684\u57fa\u6001\u3002\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u5bf9\u5404\u79cd\u7b97\u6cd5\u8fdb\u884c\u57fa\u51c6\u6d4b\u8bd5\u7684\u4e00\u4e2a\u66f4\u5b9e\u9645\u7684\u9009\u62e9\uff0c\u662f\u6bd4\u8f83\u5b83\u4eec\u9884\u6d4b\u7684\u201c\u57fa\u6001\u201d\u80fd\u91cf\uff0c\u8fd9\u4e0d\u4e00\u5b9a\u662f\u771f\u6b63\u7684\u57fa\u6001\u80fd\u91cf\uff0c\u800c\u662f\u6bcf\u4e2a\u7b97\u6cd5\u4e3a\u6bcf\u4e2a\u7279\u5b9a\u5b9e\u4f8b\u63d0\u4f9b\u7684\u6700\u4f4e\u80fd\u91cf\u3002\u7ed3\u679c\u8868\u660e<\/span>\uff08\u89c1\u56fe4\uff09<\/span>\uff0c\u5d4c\u5165DIRAC\u7684\u6a21\u62df\u9000\u706b\u8868\u73b0\u6700\u597d\uff0c\u800cDIRAC\u80fd\u4f5c\u4e3a\u901a\u7528\u63d2\u4ef6\u63d0\u5347\u4efb\u4f55\u70ed\u9000\u706b\u7b97\u6cd5<\/strong>\u3002<\/span><\/section>\n

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\u56fe4. \u4e0d\u540c\u65b9\u6cd5\u5728\u6700\u5c0f\u5316\u80fd\u91cf\u4e0a\u7684\u8868\u73b0\u3002e0<\/sub><\/span>\u6307\u6bcf\u4e2a\u81ea\u65cb\u7684\u65e0\u5e8f\u5e73\u5747\u201c\u57fa\u6001\u201d\u80fd\u91cf\uff0c\u5c06e<\/span>0<\/sub><\/span>\u7ed8\u5236\u4e3a\u521d\u59cb\u6784\u578b\u6570\u91cf\u7684\u51fd\u6570\u3002<\/span><\/p>\n


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\u9664\u4e86\u641c\u5bfb\u57fa\u6001\u7684\u6709\u6548\u6027\u4e4b\u5916\uff0cDIRAC \u8fd8\u5177\u6709\u8ba1\u7b97\u6548\u7387\u3002\u5e76\u4e14\u65f6\u95f4\u590d\u6742\u5ea6\u5206\u6790\u548c\u5bfb\u627e\u57fa\u6001\u7684\u6027\u80fd\u5206\u6790\u8868\u660e\uff0cDIRAC \u663e\u793a\u51fa\u6bd4\u5176\u4ed6\u65b9\u6cd5\u66f4\u597d\u7684\u53ef\u6269\u5c55\u6027\u3002\u968f\u540e\u5c06 DIRAC \u5e94\u7528\u4e8e\u4e00\u822c NP \u96be\u95ee\u9898\uff0c\u5177\u4f53\u6240\u9009\u95ee\u9898\u4e3a\u6700\u5927\u5272\u95ee\u9898<\/span>\uff08max-cut problem\uff09<\/span>\uff0c\u8be5\u95ee\u9898\u53ef\u4f5c\u4e3a\u4f0a\u8f9b\u81ea\u65cb\u73bb\u7483\u4e0e NP \u96be\u95ee\u9898\u4e4b\u95f4\u6620\u5c04\u7684\u5178\u578b\u4f8b\u5b50\u3002\u7ed3\u679c\u8868\u660e DIRAC \u59cb\u7ec8\u4f18\u4e8e\u5176\u4ed6\u7ade\u4e89\u5bf9\u624b\u3002<\/span><\/section>\n

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4. \u89e3\u91ca\u4e0e\u5c55\u671b<\/strong><\/strong><\/p>\n<\/section>\n

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\u7814\u7a76\u8005\u5c1d\u8bd5\u5bf9 DIRAC \u7684\u4f18\u8d8a\u6027\u80fd\u63d0\u4f9b\u4e86\u7cfb\u7edf\u7684\u89e3\u91ca\u3002\u5728\u56fe5\u4e2d\uff0c\u6bd4\u8f83\u4e86 DIRAC1 \u548c\u8d2a\u5a6a\u7b97\u6cd5\u5728\u6bcf\u4e2a\u8d2a\u5a6a\u6b65\u9aa4\u4e2d\u7684\u7cfb\u7edf\u80fd\u91cf\u5dee\u3002\u7ed3\u679c\u8868\u660e\uff0c\u5173\u6ce8\u80fd\u91cf\u53d8\u5316\u7684\u8d2a\u5a6a\u7b97\u6cd5\u4ee3\u8868\u4e86\u4e00\u79cd\u6781\u5176\u77ed\u89c6\u7684\u7b56\u7565\uff0c\u56e0\u4e3a\u5b83\u53ea\u5173\u6ce8\u6bcf\u4e00\u6b65\u7684\u6700\u5927\u80fd\u91cf\u635f\u5931\u3002\u56fe 5 \u6e05\u695a\u5730\u8868\u660e\uff0c\u4e0e\u8fd9\u79cd\u76ee\u5149\u77ed\u6d45\u7684\u7b56\u7565\u76f8\u6bd4\uff0cDIRAC1 \u5728\u65e9\u671f\u9636\u6bb5\u603b\u662f\u6682\u65f6\u7ecf\u5386\u4e00\u4e2a\u9ad8\u80fd\u72b6\u6001\uff0c\u4ee5\u4fbf\u5728\u957f\u671f\u8fbe\u5230\u4e00\u4e2a\u66f4\u4f4e\u7684\u80fd\u91cf\u72b6\u6001\u3002\u8fd9\u4e00\u7ed3\u679c\u610f\u5473\u7740 DIRAC \u5df2\u7ecf\u5b66\u4f1a\u4e3a\u957f\u671f\u6536\u76ca\u505a\u51fa\u77ed\u671f\u727a\u7272<\/strong>\u3002\u6362\u53e5\u8bdd\u8bf4\uff0cDIRAC \u5df2\u7ecf\u88ab\u8bad\u7ec3\u6210\u8981\u6ce8\u610f\u5b83\u7684\u957f\u671f\u76ee\u6807\u3002<\/span><\/section>\n

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\u56fe5. \u6bd4\u8f83 DIRAC1 \u548c\u8d2a\u5a6a\u7b97\u6cd5\uff08Greedy\uff09\u6bcf\u6b65\u7684\u80fd\u91cf\u5dee\uff0c\u5176\u4e2de<\/span>0<\/sub><\/span>\u8868\u793a\u6bcf\u4e2a\u81ea\u65cb\u7684\u65e0\u5e8f\u5e73\u5747\u201c\u57fa\u6001\u201d\u80fd\u91cf\uff0cf\u6307\u5df2\u88ab\u7ffb\u8f6c\u7684\u81ea\u65cb\u6bd4\u4f8b\u3002\u53ef\u4ee5\u770b\u5230\u5728\u5404\u7cfb\u7edf\u4e2d\uff0c\u4e0e\u8d2a\u5a6a\u7b97\u6cd5\u76f8\u6bd4\uff0cDIRAC\u5728\u65e9\u671f\u9636\u6bb5\u603b\u662f\u6682\u65f6\u7ecf\u5386\u9ad8\u80fd\u72b6\u6001\uff0c\u800c\u5728\u957f\u671f\u603b\u80fd\u8fbe\u5230\u66f4\u4f4e\u7684\u80fd\u91cf\u72b6\u6001\u3002<\/span><\/p>\n


<\/section>\n
\u6b64\u5916\uff0c\u5728\u4e00\u4e2a\u7b80\u5355\u7cfb\u7edf\u2014\u2014\u53cd\u94c1\u78c1\u7cfb\u7edf\u4e0a\uff0cDIRAC\u6709\u7740\u4f20\u7edf\u65b9\u6cd5\u65e0\u6cd5\u6bd4\u62df\u7684\u4f18\u8d8a\u8868\u73b0\u3002\u56fe6\u8868\u660e\uff0cDIRAC\u53ef\u4ee5\u5728\u4e0d\u505a\u4efb\u4f55\u9519\u8bef\u5c1d\u8bd5\u7684\u60c5\u51b5\u4e0b\u627e\u5230\u53cd\u94c1\u78c1\u7cfb\u7edf\u7684\u57fa\u6001\u3002\u8fd9\u5bf9\u4e8e\u4f20\u7edf\u7684\u57fa\u4e8e\u5c40\u57df\u63a2\u7d22\u7684\u65b9\u6cd5\u662f\u4e0d\u53ef\u80fd\u7684\uff1a\u5b83\u4eec\u603b\u662f\u9700\u8981\u591a\u6b21\u5c1d\u8bd5\u6765\u8df3\u51fa\u5c40\u90e8\u6781\u5c0f\u503c\uff1b\u4ece\u800c\u627e\u5230\u57fa\u6001\u6240\u9700\u7684\u6b65\u6570\u5f80\u5f80\u8fdc\u5927\u4e8e\u7cfb\u7edf\u8282\u70b9\u4e2a\u6570\u3002<\/span><\/section>\n

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<\/section>\n
\u5728\u672a\u6765\uff0c\u6df1\u5ea6\u56fe\u8868\u793a\u7684\u8fdb\u6b65\u53ef\u80fd\u4f7f\u6211\u4eec\u8bbe\u8ba1\u66f4\u597d\u7684\u7f16\u7801\u5668\uff0c\u5f3a\u5316\u5b66\u4e60\u6280\u672f\u7684\u53d1\u5c55\u53ef\u80fd\u6709\u52a9\u4e8e\u66f4\u6709\u6548\u7684\u8bad\u7ec3\u3002\u8fd9\u4e24\u9879\u6280\u672f\u90fd\u5c06\u8fdb\u4e00\u6b65\u63d0\u9ad8 DIRAC \u5728\u641c\u7d22\u4f0a\u8f9b\u81ea\u65cb\u73bb\u7483\u57fa\u6001\u65b9\u9762\u7684\u6027\u80fd\u3002\u89c4\u8303\u53d8\u6362\u6280\u672f\u5728 DIRAC \u4e2d\u7684\u5e94\u7528\u4ee5\u53ca DIRAC  \u4e0e\u57fa\u4e8e\u9000\u706b\u7b97\u6cd5\u76f8\u7ed3\u5408\u7684\u65b9\u6cd5\u4e5f\u53ef\u80fd\u5bf9\u5176\u4ed6\u8bb8\u591a\u57fa\u4e8e\u7269\u7406\u7684\u4eba\u5de5\u667a\u80fd\u7814\u7a76\u6709\u6240\u542f\u53d1\uff0c\u76ee\u524d\u7684\u6846\u67b6\u4ec5\u4ec5\u662f\u8fd9\u4e00\u5145\u6ee1\u5e0c\u671b\u7684\u5192\u9669\u7684\u5f00\u59cb\u3002<\/span><\/section>\n

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\u5b66\u8005\u7b80\u4ecb<\/span><\/strong><\/section>\n

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\u8303\u957f\u4fca<\/span><\/strong>\uff0c\u56fd\u9632\u79d1\u6280\u5927\u5b66\u7cfb\u7edf\u5de5\u7a0b\u5b66\u9662\u526f\u6559\u6388\uff0c\u7814\u7a76\u65b9\u5411\u662f\u4eba\u5de5\u667a\u80fd\u4e0e\u590d\u6742\u7cfb\u7edf\u3002\u4ee5\u7b2c\u4e00\u4f5c\u8005\u6216\u901a\u8baf\u4f5c\u8005\u5728Nature Machine Intelligence\u3001Nature Communications\u3001AAAI \u7b49\u9876\u7ea7\u671f\u520a\u548c\u4f1a\u8bae\u53d1\u8868\u8bba\u6587\u591a\u7bc7\u3002<\/span><\/h4>\n

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\u56fe\u795e\u7ecf\u7f51\u7edc\u4e0e\u7ec4\u5408\u4f18\u5316\u8bfb\u4e66\u4f1a\u542f\u52a8<\/strong><\/p>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n

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\u8be6\u60c5\u8bf7\u89c1\uff1a<\/span><\/span><\/p>\n

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

1. <\/strong>\u7edf\u8ba1\u7269\u7406\u3001\u65e0\u5e8f\u7cfb\u7edf\u548c\u795e\u7ecf\u7f51\u7edc<\/a><\/strong><\/span><\/section>\n
2.<\/strong> <\/strong>\u8bfa\u5956\u5f97\u4e3b Giorgio Parisi \u8bbf\u8c08\uff1a\u6bcf\u4e2a\u590d\u6742\u7cfb\u7edf\u90fd\u6709\u81ea\u5df1\u72ec\u7279\u7684\u590d\u6742\u6027<\/a><\/strong><\/span><\/strong><\/section>\n
3.<\/strong><\/strong> PRL\u901f\u9012\uff1a\u81ea\u65cb\u73bb\u7483\u6a21\u578b\u89e3\u91ca\u201c\u56de\u97f3\u5ba4\u6548\u5e94\u201d\u5982\u4f55\u5f62\u6210<\/a><\/strong><\/span><\/section>\n
4. \u300a\u5f20\u6c5f\u00b7\u590d\u6742\u79d1\u5b66\u524d\u6cbf27\u8bb2\u300b\u5b8c\u6574\u4e0a\u7ebf\uff01<\/strong><\/a><\/strong><\/strong><\/strong><\/section>\n
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5. \u6210\u4e3a\u96c6\u667aVIP\uff0c\u89e3\u9501\u5168\u7ad9\u8bfe\u7a0b\uff0f\u8bfb\u4e66\u4f1a<\/span><\/strong><\/a><\/strong><\/strong><\/strong><\/strong><\/section>\n
6. <\/strong><\/strong><\/strong>\u52a0\u5165\u96c6\u667a\uff0c\u4e00\u8d77\u590d\u6742\uff01<\/strong><\/a><\/strong><\/strong><\/strong><\/span><\/section>\n


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

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

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