{"id":39182,"date":"2025-03-04T05:01:37","date_gmt":"2025-03-03T21:01:37","guid":{"rendered":"https:\/\/17aitech.com\/?p=39182"},"modified":"2025-03-04T05:01:37","modified_gmt":"2025-03-03T21:01:37","slug":"%e4%b8%87%e5%ad%97%e6%a2%b3%e7%90%86%ef%bc%9a%e6%8f%ad%e7%a7%98-deepseek-%e4%b8%ad%e7%9a%84-rl-%e4%b8%8e-agi-%e4%b8%8b%e4%b8%80%e6%ad%a5%e4%b8%a8air-2025","status":"publish","type":"post","link":"https:\/\/17aitech.com\/?p=39182","title":{"rendered":"\u4e07\u5b57\u68b3\u7406\uff1a\u63ed\u79d8 DeepSeek \u4e2d\u7684 RL \u4e0e AGI \u4e0b\u4e00\u6b65\u4e28AIR 2025"},"content":{"rendered":"

\u5728 DeepSeek \u80fd\u591f\u7834\u5708\u800c\u51fa\u7684\u4e00\u4f17\u539f\u56e0\u4e2d\uff0c\u5b8c\u5168\u6452\u5f03\u4f20\u7edf\u7684\u76d1\u7763\u5fae\u8c03\uff08SFT\uff09\u3001\u8f6c\u800c\u91c7\u7528\u5927\u89c4\u6a21\u5f3a\u5316\u5b66\u4e60\uff08RL\uff09\u7684\u521b\u65b0\u4e4b\u5904\u662f\u5173\u952e\u6240\u5728\uff0c\u8fd9\u4f7f\u5f97\u6a21\u578b\u63a8\u7406\u80fd\u529b\u5728\u8d28\u4e0a\u53d6\u5f97\u663e\u8457\u7a81\u7834\uff0c\u66f4\u8bc1\u660e\u4e86\u5f3a\u5316\u5b66\u4e60\u5728\u63d0\u5347\u5927\u8bed\u8a00\u6a21\u578b\u63a8\u7406\u80fd\u529b\u65b9\u9762\u7684\u5de8\u5927\u6f5c\u529b\u3002<\/p>\n

\u8fd1\u51e0\u5e74\uff0c\u5b66\u754c\u548c\u4e1a\u754c\u5173\u4e8e RL \u548c LLM \u4e5f\u6d8c\u73b0\u51fa\u4e86\u9887\u591a\u5177\u5907\u5f00\u521b\u6027\u610f\u4e49\u7684\u7814\u7a76\u6210\u679c\u3002\u5728 AI \u667a\u80fd\u4f53\u63a8\u7406\u4e0e\u51b3\u7b56\u7814\u8ba8\u4f1a\uff08AIR 2025\uff09\u4e0a\uff0c\u6765\u81ea\u4f26\u6566\u5927\u5b66\u5b66\u9662\u3001\u52a0\u5dde\u5927\u5b66\u4f2f\u514b\u5229\u5206\u6821\u3001\u666e\u6797\u65af\u987f\u5927\u5b66\u3001\u534e\u76db\u987f\u5927\u5b66\u3001\u5361\u5185\u57fa\u6885\u9686\u5927\u5b66\u3001Meta\u3001\u534e\u4e3a\u7b49\u591a\u4f4d\u5b66\u672f\u754c\u548c\u5de5\u4e1a\u754c\u7684\u7814\u7a76\u4eba\u5458\u56f4\u7ed5\u5f3a\u5316\u5b66\u4e60\u3001\u63a8\u7406\u51b3\u7b56\u3001AI \u667a\u80fd\u4f53\u5c55\u5f00\u8ba8\u8bba\uff0c\u56de\u7b54\u4e86\u8bf8\u591a\u95ee\u9898\uff0c\u4f8b\u5982\uff1a<\/p>\n

AI \u7cfb\u7edf\u5982\u4f55\u6a21\u62df\u7c7b\u4eba\u63a8\u7406\u548c\u51b3\u7b56\u8fc7\u7a0b\uff1f<\/p>\n

\u6700\u65b0\u7684\u7b97\u6cd5\u3001\u6846\u67b6\u548c\u5de5\u5177\u5982\u4f55\u652f\u6301\u5728\u4e0d\u786e\u5b9a\u6027\u4e0b\u8fdb\u884c\u7a33\u5065\u7684\u51b3\u7b56\uff1f<\/p>\n

\u5982\u4f55\u786e\u4fdd AI \u7684\u51b3\u7b56\u8fc7\u7a0b\u662f\u9053\u5fb7\u7684\u3001\u900f\u660e\u7684\u4e14\u516c\u6b63\u7684?<\/p>\n

\u2026\u2026<\/p>\n

\u4ece\u4e00\u7cfb\u5217\u524d\u6cbf\u7684\u63a8\u7406\u51b3\u7b56\u7814\u7a76\u4e2d\uff0c\u53ef\u4ee5\u770b\u5230 DeepSeek \u7684\u5f71\u5b50\u30022023 \u5e74\uff0c\u6765\u81ea\u534e\u76db\u987f\u5927\u5b66\u7684 Hanna Hajishirai \u6559\u6388\u56e2\u961f\u53d1\u5e03\u4e86\u4e00\u9879\u5173\u4e8e\u5927\u8bed\u8a00\u6a21\u578b\u63a8\u7406\u7684\u5f00\u653e\u8bad\u7ec3\u65b9\u6cd5\u7684\u5de5\u4f5c\uff0c\u7814\u7a76\u5f3a\u8c03\uff0c\u4e3a\u4e86\u4ece\u9884\u8bad\u7ec3\u6a21\u578b\u53d1\u5c55\u5230\u6700\u7ec8\u6a21\u578b\uff0c\u9700\u8981\u7ecf\u5386\u4e86\u4e09\u4e2a\u9636\u6bb5\uff1a\u6307\u4ee4\u5fae\u8c03\u3001\u504f\u597d\u5fae\u8c03\u4ee5\u53ca\u5177\u6709\u53ef\u9a8c\u8bc1\u5956\u52b1\u7684\u5f3a\u5316\u5b66\u4e60\u3002\u800c\u8fd9\u4e00\u65b9\u6cd5\u4e5f\u662f DeepSeek \u6240\u91c7\u7528\u7684\u63a8\u7406\u5f00\u653e\u8bad\u7ec3\u65b9\u6cd5\u3002<\/p>\n

Meta GenAI \u7684\u7530\u6e0a\u680b\u6559\u6388\u7cfb\u7edf\u603b\u7ed3\u4e86\u5f53\u4e0b\u5e94\u5bf9\u5927\u8bed\u8a00\u6a21\u578b\u5c40\u9650\u7684\u89e3\u51b3\u65b9\u5f0f\uff0c\u9664\u4e86 Scaling Law \u4e4b\u5916\u8fd8\u6709Test-time Scaling\uff08\u6d4b\u8bd5\u65f6\u6269\u5c55\uff09\uff0c\u5373\u4f7f\u7528\u66f4\u5927\u7684\u6a21\u578b\u52a0\u5de5\u5177\u6216\u601d\u7ef4\u94fe\uff0c\u4f7f\u7528\u4e0d\u540c\u7684\u7b56\u7565\uff0c\u6700\u7ec8\u53ef\u80fd\u4f1a\u627e\u5230\u4e00\u4e2a\u6bd4\u5355\u7eaf\u7684\u5927\u578b\u6a21\u578b\u66f4\u597d\u7684\u89e3\u51b3\u65b9\u6848\u3002\u7530\u6e0a\u680b\u6559\u6388\u4e5f\u5206\u4eab\u4e86\u901a\u8fc7\u4f7f\u7528\u68af\u5ea6\u4e0a\u5347\uff08gradient ascent\uff09\u5bf9\u795e\u7ecf\u7f51\u7edc\u8fdb\u884c\u8bad\u7ec3\u7684\u65b9\u5f0f\uff0c\u4ece\u800c\u8bd5\u56fe\u5c06\u7b26\u53f7\u7ed3\u6784\u4e0e\u795e\u7ecf\u7f51\u7edc\u8868\u793a\u7edf\u4e00\u8d77\u6765\uff0c\u4f46\u8fd9\u4e00\u65b9\u6cd5\u8fd8\u5904\u4e8e\u975e\u5e38\u521d\u7ea7\u7684\u9636\u6bb5\uff0c\u5e76\u4e0d\u786e\u5b9a\u672a\u6765\u662f\u5426\u80fd\u6210\u4e3a\u4e3b\u6d41\u3002<\/p>\n

\u4fc4\u4ea5\u4fc4\u5dde\u7acb\u5927\u5b66\u7684 Huan Sun \u6559\u6388\u4ece\u9690\u5f0f\u63a8\u7406\u51fa\u53d1\uff0c\u63a2\u8ba8\u4e86\u6570\u636e\u96c6\u4e2d\u7684\u4e24\u79cd\u4e8b\u5b9e\uff1a\u539f\u5b50\u4e8b\u5b9e\u4e0e\u63a8\u65ad\u4e8b\u5b9e\uff0c\u5e76\u63d0\u51fa\u4e86\u4e00\u4e2a\u4e0e\u4e3b\u6d41\u4e0d\u76f8\u540c\u7684\u7814\u7a76\u53d1\u73b0\uff1a\u6cdb\u5316\u901f\u5ea6\u4e0e\u7edd\u5bf9\u6570\u636e\u91cf\u5e76\u6ca1\u6709\u5173\u7cfb\uff0c\u800c\u662f\u4e0e\u5173\u952e\u6570\u636e\u5206\u5e03\u3001\u7279\u522b\u662f\u63a8\u65ad\u4e8b\u5b9e\u4e0e\u539f\u5b50\u4e8b\u5b9e\u7684\u6bd4\u4f8b\u5bc6\u5207\u76f8\u5173\uff0c\u4e14\u6bd4\u4f8b\u8d8a\u9ad8\uff0c\u6cdb\u5316\u901f\u5ea6\u5c31\u8d8a\u5feb\u3002<\/p>\n

\u540c\u65f6\uff0c\u4e5f\u6709\u7814\u7a76\u56f4\u7ed5 AI for Math \u8fd9\u4e00\u4e3b\u6d41\u7684\u63a8\u7406\u80fd\u529b\u5e94\u7528\u9886\u57df\u3002\u666e\u6797\u65af\u987f\u5927\u5b66\u7684\u91d1\u9a70\u6559\u6388\u56e2\u961f\u5f00\u53d1\u4e86Goedel-Prover \u8fd9\u4e00\u5f00\u6e90\u7684\u5927\u6a21\u578b\uff0c\u901a\u8fc7\u5c06\u81ea\u7136\u8bed\u8a00\u6570\u5b66\u95ee\u9898\u7ffb\u8bd1\u6210\u5f62\u5f0f\u8bed\u8a00\uff08\u5982Lean 4\uff09\uff0c\u5e76\u751f\u6210\u5f62\u5f0f\u5316\u8bc1\u660e\uff0c\u4ece\u800c\u89e3\u51b3\u5f62\u5f0f\u5316\u6570\u5b66\u9648\u8ff0\u548c\u8bc1\u660e\u7a00\u7f3a\u7684\u95ee\u9898\uff0c\u8fd9\u4e00\u6a21\u578b\u5728\u81ea\u52a8\u5b9a\u7406\u8bc1\u660e\u65b9\u9762\u8fbe\u5230\u4e86\u5f53\u524d\u4e16\u754c\u8303\u56f4\u5185\u7684\u6700\u4f73\u6027\u80fd\u6c34\u5e73\u3002<\/p>\n

\u66f4\u6709\u5b9e\u7528\u6027\u8f83\u5f3a\u7684 AI \u667a\u80fd\u4f53\u7814\u7a76\u3002\u5361\u5185\u57fa\u6885\u9686\u5927\u5b66\u7684 Graham Neubig \u6559\u6388\u56e2\u961f\u63d0\u51fa\u4e86\u4e00\u4e2a\u6df7\u5408 Agents \u65b9\u6848\uff0c\u8fd9\u79cd Agents \u80fd\u591f\u4ea4\u66ff\u6267\u884c\u6d4f\u89c8\u548c API \u8c03\u7528\u64cd\u4f5c\uff0c\u5e76\u4e14\u5728\u6bcf\u4e00\u6b65\u4e2d\uff0c\u5b83\u4f1a\u9009\u62e9\u4e0e\u4eba\u7c7b\u6c9f\u901a\u3001\u751f\u6210\u81ea\u7136\u8bed\u8a00\u3001\u6267\u884cPython\u4ee3\u7801\uff08\u5305\u62ecAPI\u8c03\u7528\uff09\u4ee5\u53ca\u6267\u884c\u7f51\u9875\u6d4f\u89c8\u64cd\u4f5c\u3002<\/p>\n

AIR2025 \u7531\u4f26\u6566\u5927\u5b66\u5b66\u9662\u6c6a\u519b\u3001Meta GenAI \u7530\u6e0a\u680b\u7b49\u6559\u6388\u8054\u5408\u4e3b\u529e\uff0c\u81f4\u529b\u4e8e\u63a8\u52a8\u667a\u80fd\u7cfb\u7edf\u7684\u53d1\u5c55\uff0c\u4f7f\u5176\u80fd\u591f\u81ea\u4e3b\u3001\u9002\u5e94\u6027\u5f3a\u4e14\u8d1f\u8d23\u4efb\u5730\u8fd0\u884c\uff08\u4f1a\u8bae\u8be6\u60c5\u53ca\u6ce8\u518c\u53ef\u8bbf\u95ee\u5b98\u7f51\uff1ahttps:\/\/ai-agent-reasoning.com\uff09\u3002\u672c\u6b21\u4f1a\u8bae\u7279\u522b\u9e23\u8c22\u6765\u81ea\u52a0\u5dde\u5927\u5b66\u4f2f\u514b\u5229\u5206\u6821\u7684\u535a\u58eb\u540e\u7814\u7a76\u5458\u987e\u5c1a\u5b9a\u3002<\/p>\n

\u8fd9\u662f\u4e00\u7bc7\u56f4\u7ed5 DeepSeek \u7684\u8fc7\u53bb\u3001\u5f53\u4e0b\u4e0e\u672a\u6765\u6240\u5c55\u5f00\u7684\u5bf9\u4eba\u5de5\u667a\u80fd\u7684\u7cbe\u5f69\u8ba8\u8bba\u3002AI \u79d1\u6280\u8bc4\u8bba\u622a\u53d6\u4f1a\u8bae\u90e8\u5206\u7cbe\u5f69\u5185\u8fdb\u884c\u7f16\u8bd1\uff0c\u4ee5\u4e0b\u4e3a\u6838\u5fc3\u5185\u5bb9\u7684\u6f14\u8bb2\u5b9e\u5f55\uff1a<\/p>\n

\u4e00\u3001DeepSeek \u7684\u8bed\u8a00\u6a21\u578b\u63a8\u7406\u5f00\u653e\u8bad\u7ec3\u65b9\u6cd5<\/span><\/strong><\/p>\n

\u534e\u76db\u987f\u5927\u5b66\u7684 Hanna Hajishirai \u6559\u6388\u505a\u4e86\u4e3b\u9898\u4e3a\u201cOpen Training Recipes for Reasoning in Language Models\u201d\u7684\u6f14\u8bb2\uff0c\u63a2\u8ba8\u4e86\u8bed\u8a00\u6a21\u578b\u63a8\u7406\u7684\u5f00\u653e\u8bad\u7ec3\u65b9\u6cd5\u3002<\/p>\n

\u4e3a\u4e86\u4ece\u9884\u8bad\u7ec3\u6a21\u578b\u53d1\u5c55\u5230\u6700\u7ec8\u6a21\u578b\uff0c\u6211\u4eec\u7ecf\u5386\u4e86\u4e09\u4e2a\u9636\u6bb5\uff1a\u6307\u4ee4\u5fae\u8c03\u3001\u504f\u597d\u5fae\u8c03\u4ee5\u53ca\u5177\u6709\u53ef\u9a8c\u8bc1\u5956\u52b1\u7684\u5f3a\u5316\u5b66\u4e60\u3002\u8fd9\u662f\u6211\u4eec 2023 \u5e74\u8bba\u6587\u4e2d\u5f15\u5165\u7684\u65b0\u5185\u5bb9\u3002\u8fd9\u57fa\u672c\u4e0a\u4e5f\u662f DeepSeek \u6240\u91c7\u7528\u7684\u65b9\u6cd5\uff0c\u540e\u6765\u6211\u4eec\u53d1\u73b0 DeepSeek \u4e5f\u5f15\u5165\u4e86\u540c\u6837\u7684\u65b9\u6cd5\u3002<\/p>\n

\u6211\u4eec\u5148\u6765\u8c08\u8c08\u6307\u4ee4\u5fae\u8c03\u3002\u6307\u4ee4\u5fae\u8c03\u4e2d\uff0c\u4eba\u4eec\u4e5f\u628a\u5b83\u79f0\u4e3a SFT\uff0c\u5373\u76d1\u7763\u5f0f\u5fae\u8c03\u3002\u5176\u6838\u5fc3\u601d\u60f3\u662f\uff0c\u4f60\u62ff\u4e00\u4e2a\u9884\u8bad\u7ec3\u7684\u8bed\u8a00\u6a21\u578b\uff0c\u7136\u540e\u5411\u6a21\u578b\u8f93\u5165\u5404\u79cd\u4e0d\u540c\u7c7b\u578b\u7684\u4efb\u52a1\u6307\u4ee4\uff0c\u63a5\u7740\u5bf9\u6a21\u578b\u8fdb\u884c\u5fae\u8c03\uff0c\u6559\u4f1a\u5b83\u5982\u4f55\u9075\u5faa\u8fd9\u4e9b\u6307\u4ee4\u3002<\/p>\n

\u6211\u4eec\u56e2\u961f\u5728\u8fd9\u4e2a\u65b9\u5411\u4e0a\u5df2\u7ecf\u6295\u5165\u4e86\u5f88\u957f\u65f6\u95f4\u3002\u6211\u4eec\u5728 2022 \u5e74\u5f00\u59cb\u4e13\u6ce8\u4e8e\u8bed\u8a00\u6a21\u578b\u7684\u6307\u4ee4\u5fae\u8c03\uff0c\u5f53\u65f6\u4e3b\u8981\u5173\u6ce8\u7684\u662f\u81ea\u7136\u8bed\u8a00\u5904\u7406\uff08NLP\uff09\u6807\u7b7e\u7b49\u8bed\u8a00\u6d4b\u8bd5\u3002<\/p>\n

2023 \u5e74\uff0c\u6211\u4eec\u5f15\u5165\u4e86\u4e00\u4e2a\u81ea\u6211\u6307\u5bfc\u6846\u67b6\uff08self-instruct framework\uff09\uff0c\u5728\u8fd9\u4e2a\u6846\u67b6\u4e0b\uff0c\u6211\u4eec\u6559\u4f1a\u6a21\u578b\u5408\u6210\u751f\u6210\u8d8a\u6765\u8d8a\u591a\u7684\u6570\u636e\uff0c\u4ee5\u4fbf\u6211\u4eec\u80fd\u591f\u83b7\u5f97\u66f4\u597d\u7684\u3001\u66f4\u591a\u7684\u6570\u636e\u7528\u4e8e\u76d1\u7763\u5f0f\u5fae\u8c03\u3002<\/p>\n

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\u8bba\u6587\u94fe\u63a5\uff1ahttps:\/\/arxiv.org\/abs\/2406.20094<\/p>\n

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\u8bba\u6587\u94fe\u63a5\uff1ahttps:\/\/arxiv.org\/abs\/2406.09279<\/p>\n

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\u6211\u4eec\u6536\u96c6\u8fd9\u4e9b\u63d0\u793a\u8bcd\uff0c\u5e76\u4ece\u4e00\u4e2a\u975e\u5e38\u5927\u7684\u6a21\u578b\u96c6\u5408\u4e2d\u67e5\u770b\u504f\u597d\u54cd\u5e94\uff0c\u6bd4\u5982\u4ece 70 \u4ebf\u53c2\u6570\u7684\u6a21\u578b\u5230\u50cf GPT-4o \u8fd9\u6837\u975e\u5e38\u5f3a\u5927\u7684\u6a21\u578b\u3002\u6211\u4eec\u5f00\u59cb\u6bd4\u8f83\u5b83\u4eec\u4e4b\u95f4\u7684\u504f\u597d\uff0c\u770b\u770b\u54ea\u4e00\u4e2a\u66f4\u597d\uff0c\u8fd9\u6837\u4f60\u7684\u6a21\u578b\u5c31\u4f1a\u9010\u6e10\u5f97\u5230\u6539\u8fdb\u3002\u6211\u4eec\u8fd8\u786e\u4fdd\u5305\u542b\u672a\u8bf7\u6c42\u7684\u6570\u636e\uff0c\u786e\u4fdd\u5c06 Tulu 38B \u548c 70B \u6570\u636e\u7eb3\u5165\u5176\u4e2d\uff0c\u56e0\u4e3a\u8fd9\u662f\u7b26\u5408\u7b56\u7565\u7684\u3002<\/p>\n

\u7136\u540e\uff0c\u6211\u4eec\u4f7f\u7528 GPT-4o\u3001LLaMa \u8fd9\u6837\u7684\u6a21\u578b\u4f5c\u4e3a\u8bc4\u5224\uff0c\u6765\u4e3a\u6211\u4eec\u5bf9\u8fd9\u4e9b\u56db\u4e2a\u7ef4\u5ea6\uff08\u5e2e\u52a9\u6027\u3001\u6307\u4ee4\u9075\u5faa\u6027\u3001\u771f\u5b9e\u6027\u3001\u8bda\u5b9e\u6027\uff09\u7684\u504f\u597d\u8fdb\u884c\u6392\u5e8f\u3002\u6211\u4eec\u4e5f\u5c1d\u8bd5\u4e86\u4e0d\u540c\u7684 LLM \u4f5c\u4e3a\u8bc4\u5224\uff0c\u4f46\u7ed3\u679c\u5dee\u5f02\u4e0d\u5927\u3002\u5b83\u4eec\u7684\u7ed3\u679c\u51e0\u4e4e\u90fd\u5dee\u4e0d\u591a\u3002<\/p>\n

\u7814\u7a76\u53d1\u73b0\uff0c\u6211\u4eec\u5728\u4f7f\u7528\u6240\u6709\u6a21\u578b\u65f6\u770b\u5230\u4e86\u5f88\u5927\u7684\u63d0\u5347\u3002\u6211\u4eec\u5c55\u793a\u51fa\uff0c\u4e0e\u4e4b\u524d\u7684\u504f\u597d\u6570\u636e\u6df7\u5408\u96c6\u76f8\u6bd4\uff0c\u6211\u4eec\u770b\u5230\u4e86\u4e00\u4e2a\u5de8\u5927\u7684\u8fdb\u6b65\u3002\u540c\u6837\uff0c\u6211\u4eec\u8fdb\u884c\u4e86\u5927\u91cf\u7684\u6570\u636e\u6df7\u5408\u5206\u6790\uff0c\u7814\u7a76\u5e94\u8be5\u4ece\u76d1\u7763\u5fae\u8c03\uff08SFT\uff09\u4e2d\u5f15\u5165\u591a\u5c11\u521d\u59cb\u63d0\u793a\uff0c\u4ee5\u53ca\u5e94\u8be5\u5f15\u5165\u591a\u5c11\u65b0\u7684\u63d0\u793a\u3002\u8fd9\u7ecf\u8fc7\u4e86\u5927\u91cf\u7684\u5b9e\u9a8c\uff0c\u4ee5\u786e\u5b9a\u6700\u4f73\u7684\u6df7\u5408\u6bd4\u4f8b\u3002<\/p>\n

\u6211\u60f3\u5728\u8fd9\u91cc\u5f3a\u8c03\u4e00\u70b9\uff0c\u5bf9\u4e8e 2.3 \u7248\u672c\uff0c\u6211\u4eec\u51b3\u5b9a\u5728\u8fd9\u4e2a\u9636\u6bb5\u518d\u6b21\u4f7f\u7528 DPO\uff08\u76f4\u63a5\u8fd1\u7aef\u504f\u597d\u4f18\u5316\uff09\uff0c\u56e0\u4e3a\u6211\u4eec\u8fd8\u60f3\u8bad\u7ec3\u66f4\u5927\u7684\u6a21\u578b\uff0c\u6211\u4eec\u8ba4\u4e3a\u5b83\u7684\u5b9e\u9a8c\u901f\u5ea6\u66f4\u5feb\uff0c\u800c\u4e14\u5f88\u6709\u5e2e\u52a9\u3002\u56e0\u6b64\uff0c\u6211\u4eec\u5bf9 DPO \u505a\u4e86\u5f88\u591a\u6539\u8fdb\uff0c\u6bd4\u5982\u6211\u4eec\u8ba9\u5b83\u8fdb\u884c\u4e86\u957f\u5ea6\u5f52\u4e00\u5316\u7b49\u3002\u6211\u4eec\u8fdb\u884c\u4e86\u5927\u91cf\u7684\u8d85\u53c2\u6570\u8c03\u6574\uff0c\u6700\u7ec8\u53d1\u73b0\uff0c\u8fd9\u771f\u7684\u6548\u679c\u5f88\u597d\uff0c\u5c24\u5176\u662f\u5728\u8fd9\u91cc\u4f7f\u7528 DPO\u3002<\/p>\n

\u4f46\u5bf9\u4e8e\u6211\u4eec\u7684 2.3 \u7248\u672c\uff0c\u6211\u4eec\u5b9e\u9645\u4e0a\u5f15\u5165\u4e86\u4e00\u79cd\u65b0\u7b97\u6cd5\u3002\u6211\u4eec\u5c06\u5176\u79f0\u4e3a\u201c\u53ef\u9a8c\u8bc1\u5956\u52b1\u7684\u5f3a\u5316\u5b66\u4e60\u201d\u3002\u5f53\u6211\u4eec\u89c2\u5bdf\u504f\u597d\u5fae\u8c03\u65f6\uff0c\u6211\u4eec\u5b9e\u9645\u4e0a\u662f\u5728\u8bad\u7ec3\u4e00\u4e2a\u5956\u52b1\u6a21\u578b\uff0c\u8fd9\u662f\u4e00\u4e2a\u4e3a\u6a21\u578b\u7684\u67d0\u79cd\u8f93\u51fa\u5206\u914d\u5206\u6570\u7684\u795e\u7ecf\u7f51\u7edc\u3002<\/p>\n

\u6211\u4eec\u7684\u60f3\u6cd5\u662f\uff0c\u5982\u679c\u6211\u4eec\u4f7f\u7528\u4e00\u4e2a\u66f4\u7b80\u5355\u7684\u8bbe\u7f6e\uff0c\u4ec5\u4ec5\u4f7f\u7528\u4e00\u4e2a\u9a8c\u8bc1\u673a\u5236\uff0c\u4f1a\u600e\u4e48\u6837\u5462\uff1f\u4e5f\u5c31\u662f\u8bf4\uff0c\u5982\u679c\u6211\u4eec\u751f\u6210\u7684\u5185\u5bb9\u4e0e\u6807\u51c6\u7b54\u6848\u7b49\u4ef7\uff0c\u5c31\u8fd4\u56de 1\uff0c\u5426\u5219\u8fd4\u56de 0\u3002\u6240\u4ee5\u5b83\u53ea\u662f\u4e00\u4e2a\u57fa\u4e8e\u89c4\u5219\u7684\u3001\u975e\u5e38\u7b80\u5355\u7684\u5956\u52b1\u6a21\u578b\u3002<\/p>\n

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\u6211\u4eec\u751a\u81f3\u53ef\u4ee5\u5c06\u5176\u7528\u4e8e\u7cbe\u786e\u6307\u4ee4\u7684\u9075\u5faa\uff0c\u5982\u679c\u7ed9\u51fa\u4e00\u4e2a\u975e\u5e38\u590d\u6742\u7684\u6307\u4ee4\uff0c\u8ba9\u6a21\u578b\u751f\u6210\u4e00\u4e9b\u5185\u5bb9\u3002\u7136\u540e\uff0c\u6211\u60f3\u4e86\u89e3\u6ee1\u8db3\u7684\u7ea6\u675f\u6761\u4ef6\u7684\u767e\u5206\u6bd4\u662f\u591a\u5c11\uff0c\u6240\u4ee5\u6211\u4eec\u53ef\u4ee5\u5c06\u8fd9\u79cd\u9a8c\u8bc1\u6269\u5c55\u5230\u4e0d\u540c\u7684\u9636\u6bb5\u3002<\/p>\n

\u8fd9\u5e76\u4e0d\u662f\u4e00\u4e2a\u5168\u65b0\u7684\u60f3\u6cd5\u3002\u4f46\u53d8\u5316\u5728\u4e8e\uff0c\u73b0\u5728\u7684\u57fa\u7840\u6a21\u578b\uff0c\u6216\u8005\u662f\u5728\u76d1\u7763\u5fae\u8c03\u9636\u6bb5\u7ed3\u675f\u65f6\u7684\u6a21\u578b\uff0c\u5df2\u7ecf\u5f97\u5230\u4e86\u5f88\u5927\u7684\u6539\u8fdb\u3002\u5982\u4eca\uff0c\u6211\u4eec\u80fd\u591f\u751f\u6210\u76f8\u5bf9\u8f83\u597d\u7684\u601d\u7ef4\u94fe\u6761\uff0c\u5e76\u5c06\u5176\u4e0e\u771f\u5b9e\u60c5\u51b5\u76f8\u5bf9\u6bd4\uff0c\u4ece\u800c\u5224\u65ad\u5b83\u662f\u5426\u8db3\u591f\u597d\uff0c\u662f\u5426\u4e0d\u597d\uff0c\u7b49\u7b49\u3002<\/p>\n

\u8fd9\u5c31\u662f\u6211\u4eec\u7684\u6700\u7ec8\u65b9\u6848\u3002\u6211\u4eec\u4f7f\u7528\u6700\u7ec8\u7b54\u6848\u6216\u53ef\u9a8c\u8bc1\u7684\u7ea6\u675f\u6765\u8fdb\u884c\u9a8c\u8bc1\u3002\u6211\u4eec\u5e76\u4e0d\u662f\u5728\u8bad\u7ec3\u4e2d\u95f4\u7684\u601d\u7ef4\u94fe\u6761\uff0c\u800c\u662f\u8ba9\u6a21\u578b\u81ea\u5df1\u751f\u6210\u601d\u7ef4\u94fe\u6761\u3002\u6211\u4eec\u91c7\u7528\u4e86\u7ecf\u5178\u7684\u5f3a\u5316\u5b66\u4e60\u5b9e\u73b0\uff0c\u7279\u522b\u662f\u8fd9\u91cc\u6211\u4eec\u4f7f\u7528\u4e86 PPO \u7b97\u6cd5\uff0c\u5e76\u4e14\u6211\u4eec\u5c1d\u8bd5\u4e86\u4e09\u4e2a\u6570\u636e\u96c6\u3002<\/p>\n

\u7ed3\u679c\u662f\u597d\u7684\u3002\u4ee5\u4e0b\u5c55\u793a\u662f\u4e0e\u8fd9\u4e9b\u6570\u636e\u96c6\u7684\u57fa\u51c6\u5bf9\u6bd4\uff0c\u5305\u62ec\u4e00\u4e9b\u6a21\u578b\uff0c\u6bd4\u5982DeepSeek V3\u3001GPT-4o\u4ee5\u53ca\u6211\u4eec\u6a21\u578b\u7684\u4e0d\u540c\u7248\u672c\uff0c\u8fd9\u4e9b\u7248\u672c\u5206\u522b\u6765\u81ea\u76d1\u7763\u5fae\u8c03\uff08SFT\uff09\u3001\u76f4\u63a5\u8fd1\u7aef\u504f\u597d\u4f18\u5316\uff08DPO\uff09\u548c\u53ef\u9a8c\u8bc1\u5956\u52b1\u7684\u5f3a\u5316\u5b66\u4e60\uff08RLV\uff09\u3002<\/p>\n

\u8fd9\u91cc\u6709\u4e00\u4e2a\u975e\u5e38\u6709\u8da3\u7684\u89c2\u5bdf\uff1a\u5f53\u6211\u4eec\u5904\u7406\u4e00\u4e2a\u66f4\u5927\u7684\u6a21\u578b\uff0c\u6bd4\u5982 405B \u6a21\u578b\u65f6\uff0c\u6211\u4eec\u5728\u5f3a\u5316\u5b66\u4e60\u9a71\u52a8\u7684\u63a8\u7406\uff08RLDR\uff09\u9636\u6bb5\u770b\u5230\u4e86\u66f4\u5927\u7684\u63d0\u5347\u3002\u6240\u4ee5\uff0c\u8fd9\u6761\u7eff\u8272\u7684\u7ebf\u663e\u793a\u4e86\u5728\u81ea\u52a8\u9a8c\u8bc1\u5f3a\u5316\uff08Auto VR\uff09\u9636\u6bb5\u7684\u4e0d\u540c\u8f6e\u6b21\u4e2d\uff0c\u6211\u4eec\u7684\u6570\u5b66\u63a8\u7406\u80fd\u529b\u63d0\u5347\u4e86\u591a\u5c11\uff0c\u800c\u7c89\u8272\u7684\u7ebf\u5219\u663e\u793a\u4e86\u6211\u4eec\u5728\u5904\u7406 70B \u53c2\u6570\u6a21\u578b\u65f6\u63d0\u5347\u4e86\u591a\u5c11\u3002<\/p>\n

\u8fd9\u4e5f\u4e0e DeepSeek V3 \u7684\u53d1\u73b0\u975e\u5e38\u4e00\u81f4\uff0c\u4ed6\u4eec\u53d1\u73b0\u5728\u5904\u7406\u66f4\u5927\u6a21\u578b\u65f6\uff0c\u5f3a\u5316\u5b66\u4e60\u5e26\u6765\u7684\u6539\u8fdb\u66f4\u4e3a\u663e\u8457\u3002\u8fd9\u5b9e\u9645\u4e0a\u662f\u4e00\u4e2a\u975e\u5e38\u6709\u8da3\u7684\u89c2\u5bdf\u3002\u8fd9\u4e5f\u5f15\u51fa\u4e86\u6211\u4eec\u5728\u672c\u6b21\u8ba8\u8bba\u5f00\u59cb\u65f6\u63d0\u5230\u7684\u89c2\u70b9\uff0c\u5373\u5982\u679c\u57fa\u7840\u6a21\u578b\u53d8\u5f97\u66f4\u597d\uff0c\u90a3\u4e48\u6211\u4eec\u5bf9\u5f3a\u5316\u5b66\u4e60\u5fae\u8c03\uff08RFM\uff09\u7684\u671f\u671b\u4e5f\u4f1a\u66f4\u9ad8\u3002<\/p>\n

\u6211\u4eec\u6700\u8fd1\u505a\u4e86\u4e00\u4e2a\u5f88\u5c0f\u7684\u6539\u52a8\uff0c\u5c31\u662f\u628a PPO \u6362\u6210\u4e86 GRPO\u3002\u6211\u4eec\u501f\u9274\u4e86 DeepSeel \u7684\u60f3\u6cd5\uff0c\u5c1d\u8bd5\u5c06\u5f3a\u5316\u5b66\u4e60\u7684\u5b9e\u73b0\u4ece PPO \u8fc1\u79fb\u5230 GRPO\uff0c\u5e76\u5c06\u5176\u5e94\u7528\u4e8e\u4e00\u4e2a\u66f4\u597d\u7684\u57fa\u7840\u6a21\u578b\u2014\u2014QwenMath\u3002\u6211\u4eec\u5728\u6570\u5b66\u63a8\u7406\u65b9\u9762\u770b\u5230\u4e86\u663e\u8457\u7684\u63d0\u5347\u3002<\/p>\n

\u6211\u4eec\u5728\u4e00\u4e2a\u975e\u5e38\u5927\u7684\u4efb\u52a1\u96c6\u5408\u4e0a\u8fdb\u884c\u4e86\u8bc4\u4f30\uff0c\u8fd9\u4e9b\u4efb\u52a1\u6db5\u76d6\u4e86\u63a8\u7406\u3001\u77e5\u8bc6\u56de\u5fc6\u3001\u5b89\u5168\u6027\u7b49\u65b9\u9762\uff0c\u4e14\u5728\u6240\u6709\u8fd9\u4e9b\u65b9\u9762\u90fd\u4fdd\u6301\u4e86\u826f\u597d\u7684\u5e73\u8861\uff0c\u7ed3\u679c\u5982\u4e0b\uff1a<\/p>\n

\u6700\u540e\uff0c\u6211\u5728\u8fd9\u91cc\u63d0\u5230\u7684\u6240\u6709\u5185\u5bb9\u90fd\u4e0e\u8bad\u7ec3\u6709\u5173\uff0c\u5373\u5982\u4f55\u4ece\u57fa\u7840\u6a21\u578b\u53d1\u5c55\u5230\u80fd\u591f\u8fdb\u884c\u63a8\u7406\u7684\u771f\u5b9e\u4e14\u826f\u597d\u7684\u6a21\u578b\u3002\u6211\u4eec\u5728\u6700\u8fd1\u7684\u4e00\u7bc7\u8bba\u6587\u4e2d\uff0c\u8fd8\u6ca1\u6709\u5c06\u5176\u6574\u5408\u5230 Tulu \u914d\u65b9\u4e2d\uff0c\u4f46\u6211\u4eec\u76ee\u524d\u6b63\u5728\u505a\u8fd9\u9879\u5de5\u4f5c\uff0c\u6211\u4eec\u5f00\u59cb\u4e13\u6ce8\u4e8e\u6570\u5b66\u7c7b\u4efb\u52a1\uff0c\u5373\u6570\u5b66\u63a8\u7406\u4efb\u52a1\u3002<\/p>\n

\u7136\u540e\u6211\u4eec\u5f00\u59cb\u6536\u96c6\u975e\u5e38\u9ad8\u8d28\u91cf\u7684\u63a8\u7406\u6570\u636e\u548c\u66f4\u590d\u6742\u7684\u6570\u5b66\u95ee\u9898\u3002\u6211\u4eec\u6700\u521d\u6536\u96c6\u4e86 6 \u4e07\u4e2a\u6837\u672c\uff0c\u7136\u540e\u8fdb\u884c\u4e86\u5927\u91cf\u7684\u8d28\u91cf\u7b5b\u9009\uff0c\u6700\u7ec8\u5f97\u5230\u4e86 1000 \u4e2a\u591a\u6837\u5316\u7684\u6837\u672c\u3002\u7136\u540e\u6211\u4eec\u751f\u6210\u4e86\u8fd9\u79cd\u6df1\u5ea6\u601d\u8003\u7684\u63a8\u7406\u94fe\u6761\uff0c\u901a\u8fc7\u4ece Gemini \u601d\u8003\u6a21\u578b\u4e2d\u63d0\u70bc\u51fa\u6df1\u5ea6\u601d\u8003\u7684\u6807\u8bb0\u3002\u4e0d\u4e45\u524d\uff0c\u6211\u4eec\u5c06\u5176\u66ff\u6362\u4e3aDeepSeek R1\u63a8\u7406\u6a21\u578b\u3002\u5230\u76ee\u524d\u4e3a\u6b62\uff0c\u6211\u4eec\u53ea\u8fdb\u884c\u4e86\u7b80\u5355\u7684\u76d1\u7763\u5fae\u8c03\uff08SFT\uff09\uff0c\u7ed3\u679c\u975e\u5e38\u597d\u3002<\/p>\n

\u7136\u540e\u6211\u4eec\u91c7\u7528\u4e86\u4e00\u79cd\u975e\u5e38\u7b80\u5355\u4f46\u4ee4\u4eba\u60ca\u8bb6\u7684\u63a8\u7406\u65f6\u6269\u5c55\u65b9\u6cd5\uff0c\u5f97\u5230\u4e86\u4e00\u4e2a\u975e\u5e38\u6709\u8da3\u7684\u7ed3\u679c\u3002\u6211\u4eec\u5141\u8bb8\u6a21\u578b\u5728\u751f\u6210\u7ed3\u679c\u65f6\u6709\u4e00\u5b9a\u6570\u91cf\u7684\u6807\u8bb0\u9884\u7b97\uff0c\u7136\u540e\u6211\u4eec\u5c06\u8fd9\u4e2a\u6807\u8bb0\u9884\u7b97\u4ece 512 \u8c03\u6574\u5230 2048\uff0c\u6216\u8005\u5bf9\u4e8e GPQA \u6765\u8bf4\uff0c\u8c03\u6574\u5230 496 \u7b49\u7b49\u3002<\/p>\n

\u5982\u679c\u6a21\u578b\u6ca1\u6709\u7528\u5b8c\u5b83\u7684\u6807\u8bb0\u9884\u7b97\uff0c\u6211\u4eec\u5c31\u6dfb\u52a0\u4e00\u79cd\u5ef6\u7eed\u6807\u8bb0\uff0c\u540e\u8ba9\u6a21\u578b\u518d\u601d\u8003\u4e00\u4f1a\u513f\u3002\u901a\u8fc7\u8fd9\u79cd\u65b9\u5f0f\uff0c\u6211\u4eec\u53d1\u73b0\u6a21\u578b\u73b0\u5728\u80fd\u591f\u751f\u6210\u66f4\u597d\u3001\u66f4\u6df1\u5165\u7684\u63a8\u7406\u8def\u5f84\uff0c\u8fd9\u975e\u5e38\u6709\u8da3\u3002\u8fd8\u6709\u4e00\u4e2a\u66f4\u6709\u8da3\u7684\u4e8b\u5b9e\uff1a\u5f53\u6211\u4eec\u6ca1\u6709\u6dfb\u52a0\u4efb\u4f55\u6807\u8bb0\uff0c\u53ea\u662f\u7b80\u5355\u5730\u8ba9\u6a21\u578b\u751f\u6210\u66f4\u591a\u5185\u5bb9\u65f6\uff0c\u6211\u4eec\u5e76\u6ca1\u6709\u770b\u5230\u8fd9\u79cd\u6548\u679c\u3002<\/p>\n

\u4e8c\u3001\u9886\u609f\u7684 Transformer \u662f\u9690\u5f0f\u63a8\u7406\u5668<\/strong><\/span><\/p>\n<\/p>\n

\u4fc4\u4ea5\u4fc4\u5dde\u7acb\u5927\u5b66\u7684 Huan Sun \u6559\u6388\u505a\u4e86\u4e3b\u9898\u4e3a\u201cUnderstanding Reasoning in LLMs and Agents:From Grokking of lmplicit Reasoning to Test-Time Scaling with Verifiers\u201d\u7684\u6f14\u8bb2\uff0c\u63a2\u8ba8\u4e86\u4ece\u9690\u5f0f\u63a8\u7406\u7684\u9886\u609f\u5230\u6d4b\u8bd5\u65f6\u901a\u8fc7\u9a8c\u8bc1\u5668\u8fdb\u884c\u7684\u6269\u5c55\u3002<\/p>\n

\u9996\u5148\u6765\u8c08\u8c08\u4ec0\u4e48\u662f\u9690\u5f0f\u63a8\u7406\u3002<\/p>\n

\u8bba\u6587\u94fe\u63a5\uff1ahttps:\/\/arxiv.org\/abs\/2405.15071<\/p>\n

\u5f53\u6a21\u578b\u5df2\u7ecf\u638c\u63e1\u4e86\u539f\u5b50\u6548\u5e94\uff0c\u6211\u4eec\u5e0c\u671b\u6a21\u578b\u80fd\u591f\u63a8\u7406\u51fa\u591a\u8df3\u67e5\u8be2\uff0c\u6bd4\u5982\u201c\u5965\u5df4\u9a6c\u59bb\u5b50\u7684\u751f\u65e5\u201d\u6216\u8005\u201c\u6bd4\u8f83\u5e74\u9f84\u5c5e\u6027\u503c\u540e\uff0c\u9884\u6d4b\u8c01\u66f4\u5e74\u8f7b\u201d\u7b49\u95ee\u9898\u3002\u6211\u4eec\u5e0c\u671b\u6a21\u578b\u80fd\u591f\u76f4\u63a5\u9884\u6d4b\u7b54\u6848\uff0c\u800c\u4e0d\u662f\u5728\u6a21\u578b\u5185\u90e8\u8fdb\u884c\u8bed\u8a00\u5316\u7684\u601d\u8003\uff0c\u4e5f\u4e0d\u9700\u8981\u8bed\u8a00\u5316\u5730\u8868\u8fbe\u4e2d\u95f4\u6b65\u9aa4\u3002<\/p>\n

CoT\uff08\u601d\u7ef4\u94fe\uff09\u73b0\u5728\u975e\u5e38\u6d41\u884c\u3002\u90a3\u4e48\uff0c\u4e3a\u4ec0\u4e48\u201c\u9690\u6027\u201d\u7684\u63a8\u7406\u5f88\u91cd\u8981\u5462\uff1f<\/p>\n

\u9996\u5148\uff0c\u5927\u89c4\u6a21\u8bad\u7ec3\u6216\u9884\u8bad\u7ec3\u7684\u9ed8\u8ba4\u6a21\u5f0f\u5927\u591a\u6570\u60c5\u51b5\u4e0b\u662f\u4e0d\u9700\u8981 CoT \u7684\uff0c\u6240\u6709\u6570\u636e\u90fd\u662f\u53ef\u7528\u7684\u3002\u5b9e\u9645\u4e0a\uff0c\u4e3a\u8bad\u7ec3\u63d0\u4f9b\u63a8\u7406\u5668\u53ef\u80fd\u4f1a\u975e\u5e38\u6602\u8d35\u3002\u800c\u4e14\uff0c\u4ece\u6839\u672c\u4e0a\u6765\u8bf4\uff0c\u6211\u8ba4\u4e3a\u8fd9\u51b3\u5b9a\u4e86\u8bed\u8a00\u6a21\u578b\u4ece\u6570\u636e\u4e2d\u5b66\u4e60\u4e8b\u5b9e\u548c\u89c4\u5219\u7ed3\u6784\u7684\u80fd\u529b\u3002\u5982\u679c\u4e00\u4e2a\u6a21\u578b\u80fd\u591f\u5728\u5185\u90e8\u8fdb\u884c\u601d\u8003\uff0c\u90a3\u4e48\u5b83\u5728\u538b\u7f29\u548c\u6574\u5408\u4fe1\u606f\u65b9\u9762\u53ef\u80fd\u4f1a\u66f4\u5f3a\u5927\u3002<\/p>\n

\u6211\u4eec\u5bf9\u8fd9\u6837\u7684\u7ed3\u679c\u611f\u5230\u597d\u5947\uff0c\u60f3\u8981\u4e86\u89e3\u5176\u4e2d\u7684\u539f\u56e0\uff0c\u4e8e\u662f\u6211\u4eec\u5f00\u59cb\u4e86\u63a2\u7d22\u4e4b\u65c5\uff0c\u8bd5\u56fe\u56de\u7b54\u4ee5\u4e0b\u95ee\u9898\uff1a<\/p>\n

Transformer \u662f\u5426\u80fd\u591f\u5b66\u4f1a\u9690\u5f0f\u63a8\u7406\u5462\uff1f\u53c8\u6216\u8005\uff0c\u662f\u5426\u5b58\u5728\u4e00\u4e9b\u6839\u672c\u6027\u7684\u9650\u5236\uff0c\u963b\u788d\u4e86\u6a21\u578b\u83b7\u5f97\u8fd9\u79cd\u80fd\u529b\uff1f<\/p>\n

\u54ea\u4e9b\u56e0\u7d20\u4f1a\u5f71\u54cd\u8fd9\u79cd\u80fd\u529b\u7684\u83b7\u53d6\uff1f\u662f\u6570\u636e\u3001\u6280\u80fd\u3001\u5206\u5e03\uff0c\u8fd8\u662f\u6a21\u578b\u67b6\u6784\uff1f<\/p>\n

\u8fd9\u4e2a\u6570\u636e\u96c6\u975e\u5e38\u6709\u8da3\u3002\u6211\u4eec\u4f7f\u7528\u5408\u6210\u6570\u636e\u8bbe\u7f6e\u6765\u63a7\u5236\u7814\u7a76\uff0c\u4ee5\u4fbf\u5f97\u51fa\u4e25\u8c28\u7684\u7ed3\u8bba\u3002<\/p>\n

\u5728\u6211\u4eec\u7684\u6570\u636e\u96c6\u4e2d\u6709\u4e24\u79cd\u4e8b\u5b9e\uff1a\u4e00\u79cd\u88ab\u79f0\u4e3a\u539f\u5b50\u4e8b\u5b9e\uff08atomic facts\uff09\uff0c\u53e6\u4e00\u79cd\u88ab\u79f0\u4e3a\u63a8\u65ad\u4e8b\u5b9e\uff08infer factor\uff09\u3002<\/p>\n

\u539f\u5b50\u4e8b\u5b9e\u5c31\u50cf\u662f\u77e5\u8bc6\u56fe\u8c31\u4e2d\u7684\u6bcf\u4e2a\u8fb9\uff0c\u662f\u5355\u4e00\u5173\u7cfb\uff0c\u5355\u4e00\u5173\u7cfb\u4e0d\u80fd\u518d\u8fdb\u4e00\u6b65\u62c6\u5206\uff0c\u8fd9\u5c31\u662f\u539f\u5b50\u4e8b\u5b9e\u3002<\/p>\n

\u800c\u5bf9\u4e8e\u63a8\u65ad\u4e8b\u5b9e\uff0c\u4f60\u53ef\u4ee5\u5c06\u5b83\u4eec\u89c6\u4e3a\u7531\u539f\u5b50\u4e8b\u5b9e\u7ec4\u5408\u800c\u6210\u7684\u591a\u8df3\u5173\u7cfb\u3002\u5728\u8fd9\u91cc\uff0c\u6211\u4eec\u4e13\u6ce8\u4e8e\u4e24\u79cd\u7ec4\u5408\u3002\u4f8b\u5982\uff0c\u5c06\u201c\u6bcd\u4eb2\u201d\u8fd9\u4e00\u5173\u7cfb\u548c\u201c\u51fa\u751f\u5730\u201d\u7ed3\u5408\u8d77\u6765\uff0c\u6a21\u578b\u5e94\u8be5\u80fd\u591f\u56de\u7b54\u8fd9\u6837\u7684\u95ee\u9898\uff1a\u5f53\u63d0\u5230\u6bcd\u4eb2\u7684\u51fa\u751f\u5730\u662f\u963f\u62c9\u5df4\u9a6c\u5dde\u65f6\uff0c\u6a21\u578b\u80fd\u591f\u63a8\u65ad\u51fa\u7b54\u6848\u3002\u8fd9\u5c31\u662f\u6211\u4eec\u6240\u8bf4\u7684\u63a8\u65ad\u4e8b\u5b9e\u3002<\/p>\n

\u6a21\u578b\u7684\u76ee\u6807\u662f\u80fd\u591f\u5f52\u7eb3\u5e76\u5e94\u7528\u6f5c\u5728\u7684\u89c4\u5219\u3002\u4e3a\u4e86\u4f7f\u6a21\u578b\u80fd\u591f\u5f52\u7eb3\u51fa\u6f5c\u5728\u89c4\u5219\uff0c\u6211\u4eec\u5728\u8bad\u7ec3\u8fc7\u7a0b\u4e2d\u63d0\u4f9b\u4e86\u4e00\u79cd\u6df7\u5408\u7684\u539f\u5b50\u6548\u5e94\u548c\u63a8\u65ad\u4e8b\u5b9e\u3002\u6211\u4eec\u5e0c\u671b\u6a21\u578b\u5728\u8bad\u7ec3\u4e2d\u80fd\u591f\u5b66\u4f1a\u8fd9\u4e9b\u6f5c\u5728\u89c4\u5219\uff0c\u6bd4\u5982\u5982\u4f55\u5e94\u7528\u8fd9\u4e9b\u539f\u5b50\u6548\u5e94\u6765\u63a8\u5bfc\u51fa\u591a\u8df3\u4e8b\u5b9e\u3002<\/p>\n

\u4f8b\u5982\uff0c\u73b0\u5728\u7ed9\u5b9a\u4e00\u4e2a\u65b0\u7684\u67e5\u8be2\uff0c\u6bd4\u5982\u5173\u4e8e\u54c8\u52c3\u671b\u8fdc\u955c\u7684\u67e5\u8be2\uff0c\u6211\u4eec\u5e0c\u671b\u6a21\u578b\u5728\u6d4b\u8bd5\u65f6\u80fd\u591f\u5e94\u7528\u8fd9\u4e9b\u5f52\u7eb3\u51fa\u7684\u89c4\u5219\uff0c\u5e76\u6b63\u786e\u56de\u7b54\u8fd9\u4e2a\u65b0\u7684\u591a\u8df3\u67e5\u8be2\u3002<\/p>\n

\u4f46\u66f4\u6709\u8da3\u7684\u662f\uff0c\u6211\u4eec\u6709 ID \u548c OOD \u4e24\u79cd\u8bbe\u7f6e\uff0c\u57fa\u672c\u4e0a\u6db5\u76d6\u4e86\u5206\u5e03\u5185\u548c\u5206\u5e03\u5916\u7684\u6240\u6709\u60c5\u51b5\u3002\u8fd9\u610f\u5473\u7740\u6211\u4eec\u5c06\u6240\u6709\u7684\u539f\u5b50\u6548\u5e94\u5206\u6210\u4e24\u7ec4\uff1a\u4e00\u7ec4\u7528\u4e8e ID \u8bbe\u7f6e\uff0c\u53e6\u4e00\u7ec4\u7528\u4e8e OOD \u8bbe\u7f6e\u3002<\/p>\n

\u5bf9\u4e8e\u7528\u4e8e ID \u8bbe\u7f6e\u7684\u539f\u5b50\u6548\u5e94\uff0c\u6211\u4eec\u4f1a\u5c06\u8fd9\u4e2a\u96c6\u5408\u4e2d\u7684\u6240\u6709\u539f\u5b50\u4e8b\u5b9e\u8fdb\u884c\u7ec4\u5408\uff0c\u5e76\u5c06\u63a8\u65ad\u51fa\u7684\u4e8b\u5b9e\u5212\u5206\u4e3a\u8bad\u7ec3\u96c6\u548c\u6d4b\u8bd5\u96c6\u3002\u5728\u8fd9\u4e2a\u6d4b\u8bd5\u8bbe\u7f6e\u4e2d\uff0c\u6211\u4eec\u79f0\u4e4b\u4e3a ID \u6d4b\u8bd5\u96c6\u3002\u5bf9\u4e8e\u53e6\u4e00\u7ec4\u539f\u5b50\u6548\u5e94\uff0c\u6211\u4eec\u4f1a\u5bf9\u8fd9\u4e2a\u96c6\u5408\u4e2d\u7684\u539f\u5b50\u4e8b\u5b9e\u8fdb\u884c\u7ec4\u5408\uff0c\u800c\u8fd9\u4e9b\u63a8\u65ad\u51fa\u7684\u4e8b\u5b9e\u5c06\u88ab\u7528\u4f5c\u6d4b\u8bd5\u3002<\/p>\n

\u6240\u4ee5\uff0c\u4f60\u53ef\u4ee5\u8fd9\u6837\u7406\u89e3\uff1a\u5982\u679c\u4e00\u4e2a\u591a\u8df3\u67e5\u8be2\uff0c\u6bd4\u5982\uff08h\uff0cr1\uff09\u3001\uff08h\uff0cr2\uff09\u5c5e\u4e8e ID \u8bbe\u7f6e\uff0c\u8fd9\u610f\u5473\u7740\u5b83\u4eec\u6d89\u53ca\u7684\u539f\u5b50\u4e8b\u5b9e\u5df2\u7ecf\u5728\u8bad\u7ec3\u4e2d\u4e0e\u5176\u4ed6\u539f\u5b50\u6548\u5e94\u7ec4\u5408\u8fc7\u3002\u4f46\u5982\u679c\u8fd9\u4e2a\u591a\u8df3\u67e5\u8be2\u5c5e\u4e8e OOD \u8bbe\u7f6e\uff0c\u90a3\u4e48\u8fd9\u4e9b\u539f\u5b50\u6548\u5e94\u867d\u7136\u5728\u8bad\u7ec3\u4e2d\u51fa\u73b0\u8fc7\uff0c\u4f46\u5b83\u4eec\u4e0e\u5176\u4ed6\u4efb\u4f55\u56e0\u7d20\u7684\u7ec4\u5408\u5728\u8bad\u7ec3\u4e2d\u90fd\u6ca1\u6709\u51fa\u73b0\u8fc7\u3002<\/p>\n

\u6211\u4eec\u5728\u8bad\u7ec3\u96c6\u4e0a\u8bad\u7ec3\u8fd9\u4e2a\u6a21\u578b\uff0c\u5e76\u6d4b\u8bd5\u5176\u5728 ID \u7684\u8868\u73b0\u3002\u73b0\u5728\uff0c\u6211\u4eec\u5148\u6765\u770b\u4e00\u4e0b\u8fd9\u4e24\u4e2a\u4efb\u52a1\u7684\u5b66\u4e60\u66f2\u7ebf\uff0c\u53ef\u4ee5\u89c2\u5bdf\u5230\uff0c\u6a21\u578b\u80fd\u591f\u8fbe\u5230\u5b8c\u7f8e\u7684\u5206\u5e03\u5185\u6cdb\u5316\u6027\u80fd\uff0c\u4f46\u662f\uff0c\u8fd9\u9700\u8981\u5728\u8fc7\u62df\u5408\u4e4b\u540e\u8fdb\u884c\u66f4\u957f\u65f6\u95f4\u7684\u8bad\u7ec3\u3002<\/p>\n

\u5bf9\u4e8e\u8fd9\u4e24\u4e2a\u4efb\u52a1\uff0c\u6b63\u5982\u4f60\u6240\u770b\u5230\u7684\uff0c\u8fc7\u62df\u5408\u5927\u81f4\u53d1\u751f\u5728\u8fd9\u91cc\uff0c\u8fd9\u610f\u5473\u7740\u6a21\u578b\u5728\u8fd9\u4e00\u70b9\u4e0a\u503e\u5411\u4e8e\u5b8c\u7f8e\u5730\u62df\u5408\u8bad\u7ec3\u6027\u80fd\uff0c\u4f46\u5b83\u9700\u8981\u7ecf\u8fc7\u66f4\u591a\u6b65\u9aa4\u7684\u4f18\u5316\uff0c\u624d\u80fd\u4f7f\u5206\u5e03\u5185\u6cdb\u5316\u6027\u80fd\u8d76\u4e0a\u5e76\u8fbe\u5230\u5b8c\u7f8e\u7684\u8868\u73b0\u3002\u8fd9\u79cd\u5ef6\u957f\u7684\u8bad\u7ec3\u5468\u671f\u5c31\u662f\u6211\u4eec\u6240\u8bf4\u7684\u201c\u963b\u585e\u671f\u201d\u3002<\/p>\n

\u7b2c\u4e8c\u4e2a\u53d1\u73b0\u662f\uff0c\u6211\u4eec\u6765\u770b\u4e00\u4e0b\u84dd\u8272\u66f2\u7ebf\u3002\u53ef\u4ee5\u89c2\u5bdf\u5230\uff0c\u5728\u7ec4\u5408\u6027\u4efb\u52a1\u4e2d\uff0cTransformer \u5e76\u6ca1\u6709\u5b9e\u73b0\u5b8c\u5168\u7684\u6cdb\u5316\u3002\u6240\u4ee5\uff0c\u5206\u5e03\u5185\u6cdb\u5316\u6027\u80fd\u4ece\u672a\u63d0\u5347\uff0c\u4f46\u76f8\u6bd4\u4e4b\u4e0b\uff0c\u5b83\u6700\u7ec8\u8d76\u4e0a\u5e76\u8fbe\u5230\u4e86\u5b8c\u7f8e\u7684\u8868\u73b0\u3002<\/p>\n

\u6211\u4eec\u8fd8\u53d1\u73b0\uff0c\u6cdb\u5316\u901f\u5ea6\u4e0e\u7edd\u5bf9\u6570\u636e\u91cf\u5e76\u6ca1\u6709\u5173\u7cfb\uff0c\u800c\u662f\u4e0e\u5173\u952e\u6570\u636e\u5206\u5e03\u3001\u7279\u522b\u662f\u63a8\u65ad\u4e8b\u5b9e\u4e0e\u539f\u5b50\u4e8b\u5b9e\u7684\u6bd4\u4f8b\u5bc6\u5207\u76f8\u5173\u3002\u4e5f\u5c31\u662f\u8bf4\uff0c\u6bd4\u4f8b\u8d8a\u9ad8\uff0c\u6cdb\u5316\u901f\u5ea6\u5c31\u8d8a\u5feb\u3002<\/p>\n

\u8fd9\u4f3c\u4e4e\u4e0e\u4e4b\u524d\u7684\u7814\u7a76\u7ed3\u679c\u76f8\u77db\u76fe\uff0c\u4ed6\u4eec\u8ba4\u4e3a\u5b58\u5728\u4e00\u4e2a\u4e34\u754c\u6570\u636e\u91cf\u7684\u6982\u5ff5\uff0c\u5373\u6240\u8c13\u7684\u201c\u7a81\u7834\u73b0\u8c61\u201d\u3002\u4f46\u6211\u4eec\u8ba4\u4e3a\u5b9e\u9645\u4e0a\u8d77\u51b3\u5b9a\u4f5c\u7528\u7684\u662f\u63a8\u65ad\u4e8b\u5b9e\u4e0e\u539f\u5b50\u4e8b\u5b9e\u4e4b\u95f4\u7684\u6bd4\u4f8b\u3002<\/p>\n

\u7136\u800c\uff0c\u4ecd\u6709\u4e00\u4e9b\u66f4\u91cd\u8981\u7684\u95ee\u9898\u6709\u5f85\u8fdb\u4e00\u6b65\u63a2\u8ba8\u3002\u4f8b\u5982\uff0c\u6cdb\u5316\u8fc7\u7a0b\u4e2d\u53d1\u751f\u4e86\u4ec0\u4e48\uff1f\u4e3a\u4ec0\u4e48\u4f1a\u51fa\u73b0\u6cdb\u5316\uff1f\u4e3a\u4ec0\u4e48\u4e0d\u540c\u4efb\u52a1\u4e4b\u95f4\u7684\u6cdb\u5316\u6c34\u5e73\u4f1a\u6709\u6240\u4e0d\u540c\uff1f<\/p>\n

\u8fd9\u5c31\u9700\u8981\u6211\u4eec\u8fdb\u884c\u66f4\u591a\u7684\u5206\u6790\uff0c\u4ee5\u5256\u6790\u5728\u6cdb\u5316\u8fc7\u7a0b\u4e2d\u6a21\u578b\u5185\u90e8\u7684\u5de5\u4f5c\u673a\u5236\u3002\u5728\u8fd9\u90e8\u5206\uff0c\u6211\u4eec\u4f7f\u7528\u4e86\u6765\u81ea\u673a\u5236\u53ef\u89e3\u91ca\u6027\u6587\u732e\u4e2d\u7684\u4e00\u4e9b\u6807\u51c6\u6280\u672f\uff0c\u79f0\u4e3a Logit lens\u3002<\/p>\n

\u6211\u4eec\u53ef\u4ee5\u5229\u7528 logit \u955c\u5934\u5c06\u6a21\u578b\u7684\u5185\u90e8\u72b6\u6001\u6295\u5f71\u56de\u8f93\u5165\u7a7a\u95f4\u3002\u4f8b\u5982\uff0c\u4f60\u53ef\u4ee5\u770b\u5230\u8fd9\u91cc\u7684\u6807\u8bb0 r1 \u662f\u6700\u5927\u7684\u6210\u5206\u4e4b\u4e00\uff0c\u6211\u4eec\u5c06\u5176\u89c6\u4e3a\u4ee3\u8868 r1 \u5173\u7cfb\u7684\u9690\u85cf\u72b6\u6001\u3002\u8fd9\u662f\u4e00\u4e2a\u9ad8\u5c42\u6b21\u7684\u60f3\u6cd5\u3002\u56e0\u679c\u5f52\u56e0\uff08Causal Attribution\uff09\u7684\u76ee\u7684\u662f\u8861\u91cf\u4e00\u4e2a\u9690\u85cf\u72b6\u6001\u4e0e\u53e6\u4e00\u4e2a\u72b6\u6001\u4e4b\u95f4\u7684\u56e0\u679c\u5173\u7cfb\u3002\u5728\u8fd9\u91cc\uff0c\u6211\u4eec\u5173\u6ce8\u7684\u662f r1 \u5728\u7b2c\u56db\u5c42\u7684\u9690\u85cf\u72b6\u6001\u4e0e\u76ee\u6807\u9884\u6d4b\u4e4b\u95f4\u7684\u5dee\u5f02\u3002<\/p>\n

\u5177\u4f53\u64cd\u4f5c\u5982\u4e0b\uff1a\u5728\u6b63\u5e38\u7684\u8fd0\u884c\u8fc7\u7a0b\u4e2d\uff0c\u6211\u4eec\u8f93\u5165\u4e00\u4e2a\u5e38\u89c4\u7684\u67e5\u8be2\uff0c\u7136\u540e\u751f\u6210\u6700\u7ec8\u7684\u9884\u6d4b\u7ed3\u679c\u3002\u8fd9\u4e2a\u8fc7\u7a0b\u662f\u5728\u6a21\u578b\u5df2\u7ecf\u8fc7\u62df\u5408\u4e4b\u540e\u8fdb\u884c\u7684\uff0c\u56e0\u6b64\u6a21\u578b\u603b\u662f\u80fd\u591f\u9884\u6d4b\u51fa\u76ee\u6807\u3002\u5173\u952e\u5728\u4e8e\uff0c\u6211\u4eec\u8fd8\u4f1a\u8fdb\u884c\u4e00\u79cd\u5e72\u6270\u5b9e\u9a8c\uff0c\u5373\u7528\u968f\u673a\u91c7\u6837\u7684 r1′ \u66ff\u6362 r1\uff0c\u7136\u540e\u901a\u8fc7\u7f51\u7edc\u83b7\u53d6 r1′ \u7684\u9690\u85cf\u8868\u793a\uff0c\u5e76\u7528\u5b83\u66ff\u6362\u6b63\u5e38\u8fd0\u884c\u4e2d r1 \u7684\u9690\u85cf\u8868\u793a\uff0c\u89c2\u5bdf\u8fd9\u4e00\u53d8\u5316\u5982\u4f55\u5f71\u54cd\u6700\u7ec8\u7684\u9884\u6d4b\u7ed3\u679c\u3002\u6211\u4eec\u4f1a\u591a\u6b21\u91cd\u590d\u8fd9\u4e2a\u8fc7\u7a0b\uff0c\u901a\u8fc7\u91c7\u6837\u8bb8\u591a\u4e0d\u540c\u7684\u968f\u673a\u5b9e\u4f53\uff0c\u89c2\u5bdf\u6700\u7ec8\u9884\u6d4b\u7ed3\u679c\u7684\u6539\u53d8\u9891\u7387\u3002<\/p>\n

\u5728\u90a3\u4e4b\u540e\uff0c\u4f60\u53ef\u4ee5\u5c06\u6574\u4e2a\u795e\u7ecf\u7f51\u7edc\u89c6\u4e3a\u4e00\u4e2a\u4ece\u8f93\u5165\u5230\u8f93\u51fa\u4f20\u64ad\u4fe1\u606f\u7684\u8ba1\u7b97\u56fe\u3002\u57fa\u4e8e\u8fde\u63a5\u7684\u5f3a\u5ea6\uff0c\u6211\u4eec\u53ef\u4ee5\u5728\u90a3\u4e9b\u8fde\u63a5\u975e\u5e38\u5f31\u7684\u8fb9\u4e0a\u8fdb\u884c\u526a\u679d\u3002\u5728\u7ecf\u8fc7\u963b\u585e\u6216\u8005\u5728\u963b\u585e\u7684\u6700\u540e\u9636\u6bb5\uff0c\u6211\u4eec\u5728\u6a21\u578b\u68c0\u67e5\u70b9\uff08checkpoint\uff09\u4e0a\u8fdb\u884c\u673a\u5236\u5206\u6790\u3002\u6211\u4eec\u53d1\u73b0\u4e86\u6211\u4eec\u6240\u8bf4\u7684\u201c\u6cdb\u5316\u7535\u8def\u201d\uff0c\u7528\u4e8e\u8fd9\u4e24\u4e2a\u4efb\u52a1\u3002\u8ba9\u6211\u5e26\u4f60\u770b\u770b\u8fd9\u4e2a\uff0c\u8fd9\u5bf9\u6211\u4eec\u6765\u8bf4\u975e\u5e38\u6709\u8da3\u3002<\/p>\n

\u5bf9\u4e8e\u7ec4\u5408\u4efb\u52a1\uff0c\u8fd9\u4e2a\u6cdb\u5316\u7535\u8def\u662f\u8fd9\u6837\u7684\uff1a\u5b83\u770b\u8d77\u6765\u50cf\u4e00\u4e2a\u987a\u5e8f\u7684\u6216\u5206\u9636\u6bb5\u7684\u7535\u8def\u3002\u4f60\u53ef\u4ee5\u770b\u5230\uff0c\u5728\u524d\u56db\u5c42\uff0c\u6a21\u578b\u8bd5\u56fe\u68c0\u7d22\u7b2c\u4e00\u4e2a\u4e8b\u5b9e\u3002\u7136\u540e\u5728\u6700\u540e\u56db\u5c42\uff0c\u6a21\u578b\u8bd5\u56fe\u68c0\u7d22\u7b2c\u4e8c\u4e2a\u4e8b\u5b9e\u3002\u5728\u524d\u56db\u5c42\uff0c\u4e5f\u5c31\u662f\u5e95\u5c42\uff0c\u6a21\u578b\u8bd5\u56fe\u540c\u65f6\u5e76\u884c\u5730\u68c0\u7d22\u8fd9\u4e24\u4e2a\u5b9e\u4f53\u7684\u5c5e\u6027\u7ea7\u522b\uff0c\u8fd9\u5c31\u662f\u4e3a\u4ec0\u4e48\u6211\u4eec\u79f0\u5176\u4e3a\u5e76\u884c\u7684\u3002\u7136\u540e\u5728\u4e0a\u5c42\uff0c\u6a21\u578b\u8bd5\u56fe\u8fdb\u884c\u6bd4\u8f83\u64cd\u4f5c\uff0c\u5e76\u5f97\u51fa\u7ed3\u8bba\uff0c\u6bd4\u5982 a \u662f\u5426\u5927\u4e8e\u6216\u5c0f\u4e8e b\u3002<\/p>\n

\u6211\u4eec\u8fd8\u901a\u8fc7 Logit lens \u68c0\u67e5\u6bcf\u4e2a\u9690\u85cf\u72b6\u6001\u4ee3\u8868\u7684\u8f93\u5165 token\u3002\u6211\u4eec\u53d1\u73b0\uff0c\u8fd9\u4e2a\u9690\u85cf\u8868\u793a\u5b9e\u9645\u4e0a\u4ee3\u8868\u6807\u8bb0 B\uff0c\u5b83\u662f\u6865\u63a5\u5b9e\u4f53\uff08bridge entity\uff09\uff0c\u4e5f\u662f r1 \u7684\u76ee\u6807\uff0c\u5e76\u4e14\u8fd9\u4e2a\u9690\u85cf\u8868\u793a\u8fd8\u4ee3\u8868\u5173\u7cfb r2\u3002\u57fa\u672c\u4e0a\uff0c\u4e24\u4e2a\u5173\u7cfb\u786e\u5b9e\u88ab\u4fdd\u7559\u4e86\uff0c\u4e0a\u5c42\u786e\u5b9e\u6b63\u5728\u6267\u884c\u7b2c\u4e8c\u9636\u6bb5\u7684\u77e5\u8bc6\u68c0\u7d22\u3002<\/p>\n

\u6211\u4eec\u60f3\u8981\u6df1\u5165\u4e86\u89e3\u5728 grokking\uff08\u9886\u609f\uff09\u8fc7\u7a0b\u4e2d\u53d1\u751f\u4e86\u4ec0\u4e48\u3002\u56e0\u6b64\uff0c\u6211\u4eec\u5728 grokking \u671f\u95f4\u5bf9\u8bb8\u591a\u68c0\u67e5\u70b9\u8fdb\u884c\u4e86\u7c7b\u4f3c\u7684\u5206\u6790\uff0c\u5e76\u8ddf\u8e2a\u9690\u85cf\u72b6\u6001\u4e0e\u76ee\u6807\u9884\u6d4b\u4e4b\u95f4\u7684\u56e0\u679c\u8054\u7cfb\u3002\u8fd9\u4e9b\u7279\u5f81\u5b9e\u9645\u4e0a\u5c55\u793a\u4e86\u9690\u85cf\u72b6\u6001\u4e0e\u6700\u7ec8\u9884\u6d4b\u4e4b\u95f4\u7684\u56e0\u679c\u5173\u7cfb\u3002\u4e24\u8005\u4e4b\u95f4\u7684\u5dee\u5f02\u88ab\u79f0\u4e3a\u5728\u963b\u585e\u671f\u95f4\u7684\u53d8\u5316\u3002<\/p>\n

\u540c\u65f6\uff0c\u6211\u4eec\u8fd8\u8ddf\u8e2a\u4e86 r1 \u5728\u7b2c\u4e94\u5c42\u7684\u9690\u85cf\u8868\u793a\uff0c\u4ee5\u53ca r2 \u5728\u7b2c\u4e94\u5c42\u7684\u9690\u85cf\u8868\u793a\u3002\u6211\u4eec\u901a\u8fc7\u5927\u91cf\u6837\u672c\u68c0\u67e5\u6865\u63a5\u5b9e\u4f53\uff08bridge entity\uff09\u7684\u6392\u540d\uff0c\u4ee5\u53ca r2 \u5728\u8fd9\u4e9b\u6210\u5206\u4e2d\u7684\u5173\u7cfb\u3002\u8fd9\u4e9b\u7279\u5f81\u975e\u5e38\u5bc6\u96c6\u3002<\/p>\n

\u603b\u7ed3\u4e00\u4e0b\u8fd9\u91cc\u7684\u5173\u952e\u53d1\u73b0\uff1a\u9996\u5148\uff0c\u6211\u4eec\u89c2\u5bdf\u5230 r1 \u5728\u7b2c\u4e94\u5c42\u7684\u9690\u85cf\u72b6\u6001\u4e0e\u6700\u7ec8\u9884\u6d4b\u4e4b\u95f4\u7684\u56e0\u679c\u8054\u7cfb\u663e\u8457\u589e\u5f3a\uff0c\u8fd9\u79cd\u53d8\u5316\u5728\u963b\u585e\u671f\u95f4\u975e\u5e38\u660e\u663e\u3002\u53e6\u4e00\u4e2a\u6709\u8da3\u7684\u73b0\u8c61\u662f\uff0cr2 \u5728\u7b2c\u4e94\u5c42\u7684\u9690\u85cf\u8868\u793a\u9010\u6e10\u51fa\u73b0\uff0c\u8fd9\u610f\u5473\u7740 r2 \u5173\u7cfb\u5728\u963b\u585e\u671f\u95f4\u5f97\u5230\u4e86\u4fdd\u7559\u3002\u6b64\u5916\uff0cr1 \u5728\u7b2c\u4e94\u5c42\u7684\u9690\u85cf\u72b6\u6001\u59cb\u7ec8\u662f\u6865\u63a5\u5b9e\u4f53\uff0c\u8fd9\u8868\u660e\u539f\u5b50\u6548\u5e94\u5728\u8fc7\u62df\u5408\u4e4b\u524d\u5df2\u7ecf\u88ab\u8bb0\u5fc6\u3002\u56e0\u6b64\uff0c\u6865\u63a5\u5b9e\u4f53\u59cb\u7ec8\u5b58\u5728\uff0c\u53ea\u662f\u5b83\u4e0e\u6700\u7ec8\u9884\u6d4b\u4e4b\u95f4\u7684\u56e0\u679c\u5f3a\u5ea6\u5728\u4e0d\u65ad\u589e\u5f3a\u3002<\/p>\n

\u57fa\u4e8e\u8fd9\u4e9b\u8bc1\u636e\uff0c\u6211\u4eec\u8ba4\u4e3a\u8fd9\u8868\u660e\u6a21\u578b\u5728\u963b\u585e\u671f\u95f4\u9010\u6e10\u5f62\u6210\u4e86\u64cd\u4f5c\u3002\u5728 grokking \u4e4b\u524d\uff0c\u6a21\u578b\u5f88\u53ef\u80fd\u53ea\u662f\u5728\u8fdb\u884c\u8bb0\u5fc6\u5316\u64cd\u4f5c\uff0c\u5373\u5c06\u67e5\u8be2\u76f4\u63a5\u4e0e\u76ee\u6807\u5173\u8054\u3002<\/p>\n

\u90a3\u4e48\uff0c\u4e3a\u4ec0\u4e48\u4f1a\u51fa\u73b0\u201cgrokking\u201d\u73b0\u8c61\uff1f\u6211\u4eec\u8ba4\u4e3a\uff0c\u5728\u6211\u4eec\u7684\u6a21\u578b\u8bad\u7ec3\u521d\u671f\uff0c\u4f1a\u5f62\u6210\u4e00\u4e2a\u8bb0\u5fc6\u5316\u7535\u8def\uff0c\u5b83\u76f4\u63a5\u5c06\u8f93\u5165\u4e0e\u76ee\u6807\u9884\u6d4b\u5173\u8054\u8d77\u6765\uff0c\u800c\u65e0\u9700\u7ecf\u8fc7\u4e2d\u95f4\u6b65\u9aa4\u3002\u7136\u800c\uff0c\u5728\u8bad\u7ec3\u7684\u540e\u671f\uff0c\u968f\u7740\u6a21\u578b\u9010\u6e10\u6cdb\u5316\uff0c\u4f1a\u5f62\u6210\u4e00\u4e2a\u6cdb\u5316\u8def\u7ebf\uff0c\u8fd9\u4e2a\u6cdb\u5316\u8def\u7ebf\u662f\u4ece\u8bb0\u5fc6\u5316\u8def\u7ebf\u4e2d\u5206\u5316\u51fa\u6765\u7684\u3002<\/p>\n

\u90a3\u4e48\uff0c\u4e3a\u4ec0\u4e48\u4f1a\u51fa\u73b0\u8fd9\u79cd\u5206\u5316\u5462\uff1f\u6216\u8005\uff0c\u4e3a\u4ec0\u4e48\u8bb0\u5fc6\u5316\u8def\u7ebf\u4f1a\u5728\u8bad\u7ec3\u540e\u671f\u88ab\u6cdb\u5316\u8def\u7ebf\u53d6\u4ee3\uff1f<\/p>\n

\u8fd9\u662f\u56e0\u4e3a\u5728\u4f18\u5316\u8fc7\u7a0b\u4e2d\uff0c\u6a21\u578b\u88ab\u6fc0\u52b1\u53bb\u53d8\u5f97\u66f4\u9ad8\u6548\u3002\u4ece\u8bb0\u5fc6\u5316\u5230\u6cdb\u5316\u7684\u8f6c\u53d8\uff0c\u6211\u4eec\u53ef\u4ee5\u4ece\u6548\u7387\u7684\u89d2\u5ea6\u6765\u7406\u89e3\uff1a\u8bb0\u5fc6\u5316\u8def\u7ebf\u9700\u8981\u5b58\u50a8\u5927\u91cf\u7684\u4e8b\u5b9e\uff0c\u800c\u6cdb\u5316\u8def\u7ebf\u9700\u8981\u652f\u6301\u7684\u4e8b\u5b9e\u6570\u91cf\u8981\u5c11\u5f97\u591a\u3002<\/p>\n

\u6b64\u5916\uff0c\u6211\u4eec\u8fd8\u53ef\u4ee5\u4ece\u4f18\u5316\u8fc7\u7a0b\u4e2d\u7684\u6743\u91cd\u8c03\u6574\u6765\u7406\u89e3\u8fd9\u4e00\u70b9\u3002\u5728 grokking \u9636\u6bb5\uff0c\u5f53\u6a21\u578b\u8fbe\u5230\u5b8c\u7f8e\u7684\u8bad\u7ec3\u6027\u80fd\u540e\uff0c\u6a21\u578b\u5f00\u59cb\u4f18\u5316\u6743\u91cd\uff0c\u5176\u4e2d\u6743\u91cd\u9879\u4f1a\u663e\u8457\u51cf\u5c0f\u3002\u8fd9\u8868\u660e\u6a21\u578b\u8bd5\u56fe\u627e\u5230\u4e00\u79cd\u66f4\u7b80\u6d01\u7684\u65b9\u5f0f\u6765\u4fdd\u6301\u76f8\u540c\u7684\u8bad\u7ec3\u7cbe\u5ea6\u3002<\/p>\n

\u90a3\u4e48\uff0c\u4e3a\u4ec0\u4e48\u8fd9\u4e24\u4e2a\u4efb\u52a1\u5e76\u6ca1\u6709\u603b\u662f\u5b9e\u73b0 OOD \u6cdb\u5316\u5462\uff1f\u66f4\u6839\u672c\u7684\u539f\u56e0\u662f\uff0cTransformer \u67b6\u6784\u7684\u975e\u9012\u5f52\u8bbe\u8ba1\u963b\u788d\u4e86\u8de8\u5c42\u7684\u8bb0\u5fc6\u5171\u4eab\uff0c\u4ece\u800c\u9650\u5236\u4e86\u6a21\u578b\u5728 OOD \u4efb\u52a1\u4e2d\u7684\u6cdb\u5316\u80fd\u529b\u3002<\/p>\n

\u6211\u4eec\u8fd8\u5c1d\u8bd5\u4e86\u4e00\u4e2a\u5c0f\u89c4\u6a21\u7684\u5b9e\u9a8c\u73af\u5883\uff1a\u6211\u4eec\u5728\u6a21\u578b\u7684\u4e0d\u540c\u90e8\u5206\u5171\u4eab\u53c2\u6570\uff0c\u6bd4\u5982\u524d\u56db\u5c42\u548c\u540e\u56db\u5c42\u4f7f\u7528\u76f8\u540c\u7684\u53c2\u6570\uff0c\u7136\u540e\u6211\u4eec\u91cd\u65b0\u8fdb\u884c\u8bad\u7ec3\uff0c\u7ed3\u679c\u53d1\u73b0\u6cdb\u5316\u6027\u80fd\u6709\u4e86\u663e\u8457\u63d0\u5347\u3002\u4f46\u6211\u4eec\u6ca1\u6709\u7b49\u5230\u5b83\u5b8c\u5168\u6536\u655b\uff0c\u5c31\u50cf\u4e00\u4e2a\u751f\u6210\u5668\u8fbe\u5230\u5b8c\u7f8e\u6027\u80fd\u90a3\u6837\u3002\u6211\u4eec\u8ba4\u4e3a\u8fd9\u79cd\u53c2\u6570\u5171\u4eab\u7684\u65b9\u5f0f\u80fd\u591f\u89e3\u9501\u66f4\u597d\u7684\u6cdb\u5316\u6027\u80fd\uff0c\u4f46\u8fd9\u53ea\u662f\u6f5c\u5728\u7684\u4e00\u79cd\u65b9\u6cd5\uff0c\u8fd8\u6709\u5176\u4ed6\u65b9\u5f0f\u53ef\u4ee5\u6539\u8fdb\u67b6\u6784\u3002<\/p>\n

\u4e09\u3001\u7edf\u4e00\u7b26\u53f7\u7ed3\u6784\u4e0e\u795e\u7ecf\u7f51\u7edc\u8868\u793a<\/strong><\/span><\/p>\n<\/p>\n

Meta GenAI \u7684\u7530\u6e0a\u680b\u6559\u6388\u505a\u4e86\u4e3b\u9898\u4e3a\u201cTowards a unified framework of Neural and Symbolic Decision Making\u201d\u7684\u6f14\u8bb2\uff0c\u63a2\u8ba8\u4e86\u8fc8\u5411\u795e\u7ecf\u4e0e\u7b26\u53f7\u51b3\u7b56\u7684\u7edf\u4e00\u6846\u67b6\u3002<\/p>\n

\u4eca\u5929\uff0c\u6211\u4eec\u4ecd\u7136\u80fd\u770b\u5230\u5927\u8bed\u8a00\u6a21\u578b\uff08LLM\uff09\u5b58\u5728\u4e00\u7cfb\u5217\u95ee\u9898\uff0c\u5173\u4e8e\u8fd9\u4e00\u95ee\u9898\u6709\u51e0\u79cd\u4e0d\u540c\u7684\u65b9\u6cd5\u53ef\u4ee5\u89e3\u51b3\uff1a<\/p>\n

\u9996\u5148\uff0c\u5f53\u7136\u4f60\u53ef\u4ee5\u5c06\u8d8a\u6765\u8d8a\u591a\u7684\u6570\u636e\u8f93\u5165\u5230\u6a21\u578b\u4e2d\uff0c\u5e0c\u671b\u80fd\u591f\u901a\u8fc7\u6570\u636e\u91cf\u7684\u589e\u52a0\u6765\u5e2e\u52a9\u6a21\u578b\u66f4\u597d\u5730\u5b66\u4e60\uff1b<\/p>\n

\u7b2c\u4e8c\uff0c\u6211\u4eec\u5e0c\u671b\u5229\u7528\u6d4b\u8bd5\u65f6\u6269\u5c55\uff08test time scaling\uff09\u3002\u4e5f\u5c31\u662f\u8bf4\uff0c\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528\u66f4\u5927\u7684\u6a21\u578b\u52a0\u4e0a\u5de5\u5177\uff0c\u6216\u8005\u66f4\u5927\u7684\u6a21\u578b\u52a0\u4e0a\u601d\u7ef4\u94fe\u3002\u901a\u8fc7\u8fd9\u79cd\u6d4b\u8bd5\u65f6\u6269\u5c55\uff0c\u4f7f\u7528\u4e0d\u540c\u7684\u7b56\u7565\uff0c\u6211\u4eec\u6700\u7ec8\u53ef\u80fd\u4f1a\u627e\u5230\u4e00\u4e2a\u6bd4\u5355\u7eaf\u7684\u5927\u6a21\u578b\u66f4\u597d\u7684\u89e3\u51b3\u65b9\u6848\u3002<\/p>\n

\u6700\u540e\uff0c\u6211\u4f1a\u7b80\u8981\u4ecb\u7ecd\u6211\u4eec\u6700\u8fd1\u7684\u4e00\u4e9b\u7406\u8bba\u7814\u7a76\uff0c\u8fd9\u4e9b\u7814\u7a76\u8bd5\u56fe\u5c06\u7b26\u53f7\u7ed3\u6784\u4e0e\u795e\u7ecf\u7f51\u7edc\u8868\u793a\u7edf\u4e00\u8d77\u6765\u3002\u5b9e\u9645\u4e0a\uff0c\u901a\u8fc7\u4f7f\u7528\u68af\u5ea6\u4e0a\u5347\uff08gradient ascent\uff09\u5bf9\u795e\u7ecf\u7f51\u7edc\u8fdb\u884c\u8bad\u7ec3\uff0c\u6211\u4eec\u53ef\u4ee5\u53d1\u73b0\u7b26\u53f7\u7ed3\u6784\u9010\u6e10\u51fa\u73b0\u3002\u901a\u8fc7\u8fd9\u79cd\u65b9\u5f0f\uff0c\u6211\u4eec\u5b9e\u9645\u4e0a\u770b\u5230\u4e86\u7b26\u53f7\u8868\u793a\u548c\u795e\u7ecf\u8868\u793a\u5728\u540c\u4e00\u6846\u67b6\u5185\u7684\u7edf\u4e00\u3002\u4f46\u76ee\u524d\u8fd9\u8fd8\u5904\u4e8e\u975e\u5e38\u521d\u7ea7\u7684\u9636\u6bb5\uff0c\u5e0c\u671b\u672a\u6765\u5b83\u80fd\u6210\u4e3a\u4e3b\u6d41\uff0c\u4f46\u6211\u4eec\u8fd8\u4e0d\u786e\u5b9a\u3002<\/p>\n

\u5c31\u50cf\u5728\u7b2c\u4e00\u79cd\u9009\u62e9\u4e2d\uff0c\u6211\u4eec\u9700\u8981\u5927\u91cf\u7684\u8ba1\u7b97\u8d44\u6e90\u3001\u5927\u91cf\u7684\u6570\u636e\uff0c\u800c\u4e14\u8fd9\u975e\u5e38\u6602\u8d35\u3002\u6240\u4ee5\uff0c\u6211\u4eec\u4e0d\u786e\u5b9a\u8fd9\u79cd\u65b9\u6cd5\u662f\u5426\u9002\u7528\u3002<\/p>\n

\u7b2c\u4e8c\u79cd\u9009\u62e9\u662f\u6d4b\u8bd5\u65f6\u6269\u5c55\u3002\u63a5\u4e0b\u6765\uff0c\u6211\u4f1a\u7a0d\u5fae\u8bb2\u4e00\u4e0b\u8fd9\u4e24\u4e2a\u90e8\u5206\uff1a\u7b2c\u4e00\u90e8\u5206\u662f\u5de5\u5177\u7684\u4f7f\u7528\uff0c\u7b2c\u4e8c\u90e8\u5206\u662f\u4f7f\u7528\u67d0\u79cd\u601d\u7ef4\u94fe\u3002<\/p>\n

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\u6211\u4eec\u53d1\u73b0\uff0c\u4f7f\u7528\u8fd9\u79cd\u5e26\u6709\u8f68\u8ff9\u589e\u5f3a\u7684\u641c\u7d22\u589e\u5f3a\u6a21\u578b\u65f6\uff0c\u60c5\u51b5\u4f1a\u6709\u6240\u4e0d\u540c\u3002\u6211\u4eec\u770b\u5230\uff0c\u5982\u679c\u4f60\u53ea\u4f7f\u7528\u4ec5\u8f93\u51fa\u89e3\u51b3\u65b9\u6848\u7684\u6a21\u578b\uff0c\u90a3\u4e48\u4f60\u9700\u8981 100 \u4e07\u6837\u672c\u624d\u80fd\u8fbe\u5230\u63a5\u8fd1 100% \u7684\u51c6\u786e\u7387\u3002\u4f46\u5982\u679c\u4f60\u4f7f\u7528\u641c\u7d22\u589e\u5f3a\u6a21\u578b\uff0c\u4f60\u5b9e\u9645\u4e0a\u53ea\u9700\u8981\u5341\u5206\u4e4b\u4e00\u7684\u6570\u636e\u91cf\uff0c\u540c\u65f6\uff0c\u4f60\u4e5f\u53ea\u9700\u8981\u5341\u5206\u4e4b\u4e00\u7684\u53c2\u6570\u91cf\uff0c\u5c31\u80fd\u8fbe\u5230\u7c7b\u4f3c\u7684\u6027\u80fd\u3002\u6240\u4ee5\uff0c\u641c\u7d22\u589e\u5f3a\u6a21\u578b\u4e0d\u4ec5\u66f4\u7b80\u5355\u9ad8\u6548\uff0c\u800c\u4e14\u5728\u53c2\u6570\u4f7f\u7528\u4e0a\u4e5f\u66f4\u52a0\u9ad8\u6548\u3002<\/p>\n

\u8fd9\u79cd\u60c5\u51b5\u4e5f\u9002\u7528\u4e8e\u5176\u4ed6\u7c7b\u578b\u7684\u89c4\u5212\u4efb\u52a1\uff0c\u6bd4\u5982\u8ba9 Agents \u5c06\u7bb1\u5b50\u63a8\u5230\u76ee\u7684\u5730\uff0c\u8fd9\u9700\u8981\u975e\u5e38\u8c28\u614e\u7684\u89c4\u5212\u3002\u56e0\u4e3a\u5982\u679c\u7bb1\u5b50\u88ab\u63a8\u5230\u89d2\u843d\uff0c\u5c31\u6ca1\u6709\u56de\u5934\u8def\u4e86\u3002<\/p>\n

\u4e00\u65e6\u6211\u4eec\u6709\u4e86\u8fd9\u4e9b\u64cd\u4f5c\u6a21\u578b\u2014\u2014\u8fd9\u4e9b\u6a21\u578b\u57fa\u672c\u4e0a\u662f\u901a\u8fc7\u6a21\u4eff\u5b66\u4e60\u5b9e\u73b0\u7684\u2014\u2014\u6211\u4eec\u53ef\u4ee5\u901a\u8fc7\u5728\u8fd9\u4e9b\u641c\u7d22\u589e\u5f3a\u6a21\u578b\u7684\u57fa\u7840\u4e0a\u8fdb\u884c\u5fae\u8c03\u6765\u505a\u5f97\u66f4\u597d\u3002\u5177\u4f53\u6765\u8bf4\uff0c\u6211\u4eec\u53ef\u4ee5\u901a\u8fc7\u5fae\u8c03\u8fd9\u4e9b\u539f\u59cb\u6a21\u578b\uff0c\u4f7f\u5176\u751f\u6210\u66f4\u77ed\u7684\u8f68\u8ff9\uff0c\u4f46\u4ecd\u7136\u4fdd\u6301\u6700\u4f18\u7684\u8ba1\u5212\u3002\u8fd9\u5176\u5b9e\u662f\u4e00\u4e2a\u975e\u5e38\u5178\u578b\u7684\u5f3a\u5316\u5b66\u4e60\u4efb\u52a1\uff0c\u56e0\u4e3a\u76ee\u6807\u662f\u660e\u786e\u7684\uff0c\u4f46\u6211\u4eec\u4e0d\u77e5\u9053\u5982\u4f55\u5b9e\u73b0\u8fd9\u4e2a\u76ee\u6807\u3002\u6240\u4ee5\uff0c\u6211\u4eec\u8ba9\u5f3a\u5316\u5b66\u4e60 Agents \u53bb\u63a2\u7d22\u5e76\u627e\u5230\u89e3\u51b3\u65b9\u6848\u3002<\/p>\n

\u901a\u8fc7\u201cSearchformer\u201d\uff0c\u6211\u4eec\u53d1\u73b0\u6700\u7ec8\u5f97\u5230\u7684\u6a21\u578b\u6bd4\u539f\u59cb\u7684 A* \u641c\u7d22\u6a21\u578b\u66f4\u597d\uff0c\u56e0\u4e3a\u5b83\u5177\u6709\u66f4\u77ed\u7684\u641c\u7d22\u8f68\u8ff9\u3002\u8fd9\u662f\u7531\u4e8e\u91c7\u7528\u4e86\u201c\u76f4\u89c2\u5730\u5740\u91c7\u6837\u201d\uff08Intuitive Address Sampling\uff09\uff0c\u8fd9\u662f\u4e00\u79cd\u7b80\u5316\u7684\u5f3a\u5316\u5b66\u4e60\u7248\u672c\u3002<\/p>\n

\u4ece\u6570\u636e\u4e0a\u770b\uff0c\u6211\u4eec\u53d1\u73b0\u51cf\u5c11\u540e\u7684\u8f68\u8ff9\u4e0e\u539f\u59cbA*\u8f68\u8ff9\u4e4b\u95f4\u7684\u6bd4\u4f8b\u8d8a\u6765\u8d8a\u9ad8\uff0c\u8fd9\u610f\u5473\u7740\u4ece\u6570\u503c\u4e0a\u6765\u770b\uff0c\u8fd9\u79cd\u60c5\u51b5\u786e\u5b9e\u5b58\u5728\u3002<\/p>\n

\u4e0d\u4ec5\u5982\u6b64\uff0c\u6211\u4eec\u8fd8\u53d1\u73b0\uff0c\u4e0d\u4ec5\u8f68\u8ff9\u53d8\u5f97\u66f4\u77ed\uff0c\u800c\u4e14\u7ecf\u8fc7\u5fae\u8c03\u540e\u7684\u6027\u80fd\u4e5f\u5728\u4e0d\u65ad\u63d0\u9ad8\u3002\u6bcf\u6b21\u8fed\u4ee3\u540e\uff0c\u89e3\u51b3\u65b9\u6848\u8fbe\u5230\u6700\u4f18\u7684\u6bd4\u4f8b\u8d8a\u6765\u8d8a\u9ad8\u3002\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u4f60\u5df2\u7ecf\u53ef\u4ee5\u770b\u5230\uff0c\u62e5\u6709 45M \u4e2a\u53c2\u6570\u7684\u6a21\u578b\u2014\u2014\u8fd9\u91cc\u7684\u53c2\u6570\u6307\u7684\u662f\u6a21\u578b\u7684\u53c2\u6570\u6570\u91cf\u2014\u2014\u5b9e\u9645\u4e0a\u53ef\u4ee5\u4e0e\u7528 700M \u4e2a\u53c2\u6570\u8bad\u7ec3\u7684\u6a21\u578b\u76f8\u5ab2\u7f8e\uff0c\u800c\u540e\u8005\u662f\u7528\u4e00\u4e2a\u66f4\u5927\u7684\u6570\u636e\u96c6\u8fdb\u884c\u8bad\u7ec3\u7684\u3002<\/p>\n

\u8fd9\u975e\u5e38\u6709\u8da3\uff0c\u6211\u76f8\u4fe1\u8fd9\u662f\u6700\u65e9\u5c55\u793a\u5728\u6d4b\u8bd5\u65f6\u95f4\u548c\u8bad\u7ec3\u63a8\u7406\u6570\u636e\u4e0a\u5b58\u5728\u67d0\u79cd\u201c\u76ae\u80a4\u6cd5\u5219\u201d\uff08\u53ef\u80fd\u662f\u6307\u67d0\u79cd\u4f18\u5316\u6216\u63d0\u5347\u6027\u80fd\u7684\u89c4\u5f8b\uff09\u7684\u5c11\u6570\u8bba\u6587\u4e4b\u4e00\uff0c\u8fd9\u79cd\u6cd5\u5219\u6709\u53ef\u80fd\u63d0\u9ad8\u9605\u8bfb\u4efb\u52a1\u7684\u6027\u80fd\u3002<\/p>\n

\u6211\u4eec\u8fd8\u6709\u4e00\u7bc7\u8bba\u6587\u53eb\u4f5c\u201cDualFormer\u201d\u3002\u5728\u8fd9\u7bc7\u8bba\u6587\u4e2d\uff0c\u6211\u4eec\u5c1d\u8bd5\u51cf\u5c11\u7528\u4e8e\u8bad\u7ec3\u7684\u8f68\u8ff9\u7684\u5927\u5c0f\u548c\u957f\u5ea6\u3002\u4f60\u53ef\u4ee5\u968f\u673a\u5730\u4e22\u5f03\u4e00\u4e9b\u641c\u7d22\u8f68\u8ff9\u4e2d\u7684token\u3002<\/p>\n

\u8bba\u6587\u94fe\u63a5\uff1ahttps:\/\/arxiv.org\/abs\/2410.09918<\/p>\n

\u8fd9\u79cd\u4e22\u5f03 token \u7684\u65b9\u5f0f\u53ef\u4ee5\u6709\u5f88\u591a\u79cd\u3002\u4f8b\u5982\uff0c\u4f60\u53ef\u4ee5\u4e22\u5f03\u6240\u6709\u5e26\u6709\u6210\u672c\u7684\u5b50\u53e5\uff0c\u751a\u81f3\u4f60\u8fd8\u53ef\u4ee5\u76f4\u63a5\u4e22\u5f03\u6574\u4e2a\u8f68\u8ff9\u3002\u8fd9\u610f\u5473\u7740\u6211\u4eec\u5b9e\u9645\u4e0a\u662f\u5728\u89e3\u51b3\u65b9\u6848\u6570\u636e\u548c\u641c\u7d22\u589e\u5f3a\u6570\u636e\u7684\u6df7\u5408\u4f53\u4e0a\u8fdb\u884c\u8bad\u7ec3\u3002<\/p>\n

\u8fd9\u79cd\u8bad\u7ec3\u65b9\u5f0f\u975e\u5e38\u6709\u8da3\uff0c\u6700\u7ec8\u5f97\u5230\u7684\u6a21\u578b\u4e5f\u975e\u5e38\u5f3a\u5927\u3002\u56e0\u6b64\uff0c\u6211\u4eec\u6700\u7ec8\u5f97\u5230\u4e86\u8fd9\u79cd\u53cc\u6a21\u5f0f\u6a21\u578b\uff0c\u5b83\u53ef\u4ee5\u81ea\u52a8\u5728\u5feb\u901f\u6a21\u5f0f\uff08\u5373\u76f4\u63a5\u7ed9\u51fa\u7b54\u6848\uff09\u548c\u6162\u901f\u6a21\u5f0f\uff08\u5373\u901a\u8fc7\u601d\u7ef4\u94fe\u7ed9\u51fa\u7b54\u6848\uff09\u4e4b\u95f4\u5207\u6362\u3002\u4e5f\u5c31\u662f\u8bf4\uff0c\u4f60\u53ef\u4ee5\u62e5\u6709\u4e00\u4e2a\u540c\u65f6\u5177\u5907\u8fd9\u4e24\u79cd\u80fd\u529b\u7684\u6a21\u578b\uff0c\u5e76\u4e14\u5b83\u5728\u4e24\u79cd\u6a21\u5f0f\u4e0b\u90fd\u6bd4\u5355\u4e00\u6a21\u5f0f\u7684\u4e13\u7528\u6a21\u578b\u8868\u73b0\u66f4\u597d\u3002<\/p>\n

\u6211\u4eec\u5728\u4e24\u79cd\u6a21\u5f0f\u4e4b\u95f4\u5207\u6362\u65b9\u5f0f\u975e\u5e38\u7b80\u5355\u2014\u2014\u4f60\u53ea\u9700\u8981\u8ba9\u53cc\u6a21\u5f0f\u6a21\u578b\u7684\u7b2c\u4e00\u4e2a\u751f\u6210\u6807\u8bb0\u8981\u4e48\u662f\u641c\u7d22\u5f00\u59cb\u6807\u8bb0\uff0c\u8981\u4e48\u662f\u8ba1\u5212\u6807\u8bb0\uff0c\u8fd9\u6837\u6a21\u578b\u5c31\u4f1a\u76f4\u63a5\u7ed9\u51fa\u6700\u4f18\u7b54\u6848\u3002\u4e5f\u5c31\u662f\u8bf4\uff0c\u4f60\u53ea\u9700\u8981\u56fa\u5b9a\u7b2c\u4e00\u4e2a\u6807\u8bb0\uff0c\u6a21\u578b\u7684\u884c\u4e3a\u5c31\u4f1a\u5927\u4e0d\u76f8\u540c\uff0c\u5b83\u4f1a\u8868\u73b0\u51fa\u5feb\u901f\u6a21\u5f0f\u6216\u6162\u901f\u6a21\u5f0f\u7684\u6027\u80fd\u3002<\/p>\n

\u7ecf\u8fc7\u8bad\u7ec3\uff0c\u6211\u4eec\u53d1\u73b0\u8fd9\u79cd\u6a21\u5f0f\u6bd4\u5355\u72ec\u7684\u5feb\u901f\u6a21\u5f0f\u66f4\u597d\uff0c\u4e5f\u6bd4\u5355\u72ec\u7684\u6162\u901f\u6a21\u5f0f\u66f4\u597d\u3002\u8fd9\u662f\u4e00\u4e2a\u975e\u5e38\u6709\u8da3\u7684\u53d1\u73b0\u3002<\/p>\n

\u6211\u4eec\u8fd8\u6ce8\u610f\u5230\uff0cDeepSeek \u4e5f\u8868\u73b0\u51fa\u7c7b\u4f3c\u7684\u884c\u4e3a\u3002\u5728 DeepSeek \u7684\u540c\u6b65\u6a21\u5f0f\u4e2d\uff0c\u6709\u4e00\u4e9b\u6280\u5de7\u3002\u5982\u679c\u4f60\u6709\u4e24\u4e2a\u7a7a\u683c\uff0c\u5728\u540c\u6b65 token \u4e4b\u540e\uff0c\u6a21\u578b\u751f\u6210\u7684\u540c\u6b65\u5e8f\u5217\u5f80\u5f80\u4f1a\u66f4\u957f\u4e00\u4e9b\u3002\u5982\u679c\u4f60\u5728\u540c\u6b65 token \u4e4b\u540e\u53ea\u6709\u4e00\u4e2a\u8fd4\u56de\uff0c\u90a3\u4e48\u6a21\u578b\u751f\u6210\u7684\u5185\u5bb9\u5f80\u5f80\u4f1a\u66f4\u77ed\u4e00\u4e9b\u3002<\/p>\n

\u6211\u8ba4\u4e3a\u8fd9\u53ef\u80fd\u662f\u56e0\u4e3a\u4ed6\u4eec\u7528\u6765\u8bad\u7ec3\u6a21\u578b\u7684\u6570\u636e\u5177\u6709\u8fd9\u79cd\u7279\u5b9a\u7684\u7ed3\u6784\uff0c\u800c\u6a21\u578b\u5728\u5b66\u4e60\u8fc7\u7a0b\u4e2d\u4f1a\u6355\u6349\u5230\u8fd9\u4e9b\u7ed3\u6784\uff0c\u4ece\u800c\u4f5c\u4e3a\u4e00\u79cd\u526f\u4f5c\u7528\u6765\u63a7\u5236\u6a21\u578b\u7684\u884c\u4e3a\u3002\u6211\u4eec\u5f88\u9ad8\u5174\u770b\u5230\u8fd9\u79cd\u884c\u4e3a\u4e5f\u51fa\u73b0\u5728\u6700\u5148\u8fdb\u7684\u5927\u578b\u6a21\u578b\u4e2d\u3002<\/p>\n

\u6211\u4eec\u4e5f\u5c06\u53cc\u6a21\u5f0f\u6a21\u578b\u5e94\u7528\u4e8e\u6570\u5b66\u95ee\u9898\uff0c\u57fa\u7ebf\u6a21\u578b\u4f1a\u6709\u4e00\u4e2a\u975e\u5e38\u957f\u7684\u601d\u7ef4\u94fe\u3002\u4f46\u4e00\u65e6\u4f60\u968f\u673a\u4e22\u5f03\u4e00\u4e9b\u53e5\u5b50\uff0c\u5e76\u7528\u8fd9\u4e9b\u6570\u636e\u8fdb\u884c\u5fae\u8c03\uff0c\u4f1a\u975e\u5e38\u60ca\u8bb6\u5730\u53d1\u73b0\uff0c\u5e8f\u5217\u7684\u957f\u5ea6\u4f1a\u57fa\u672c\u4fdd\u6301\u4e0d\u53d8\uff0c\u540c\u6b65\u6807\u8bb0\u4f1a\u53d8\u5f97\u975e\u5e38\u77ed\uff0c\u800c\u4e14\u77ed\u5f97\u591a\u3002\u540c\u65f6\uff0c\u751f\u6210\u7684\u5185\u5bb9\u4ecd\u7136\u662f\u5408\u7406\u7684\uff0c\u5e76\u4e14\u80fd\u7ed9\u51fa\u6b63\u786e\u7684\u7b54\u6848\u3002<\/p>\n

\u8fd9\u79cd\u884c\u4e3a\u633a\u6709\u610f\u601d\u7684\u3002\u6211\u4eec\u662f\u5728\u57fa\u7840\u6a21\u578b\u4e0a\u8fdb\u884c\u8fd9\u79cd\u5927\u89c4\u6a21\u5fae\u8c03\u3002\u8fd9\u4e9b\u662f\u57fa\u7840\u6a21\u578b\uff0c\u5b83\u4eec\u5e76\u4e0d\u662f\u9488\u5bf9\u7279\u5b9a\u4efb\u52a1\u4f18\u5316\u7684\uff0c\u6240\u4ee5\u6027\u80fd\u5e76\u4e0d\u7b97\u51fa\u8272\u3002\u4f46\u5373\u4fbf\u5982\u6b64\uff0c\u4f60\u4ecd\u7136\u4f1a\u770b\u5230\u6027\u80fd\u6709\u6240\u63d0\u5347\u3002<\/p>\n

\u56db\u3001\u57fa\u4e8e API \u7684\u7f51\u7edc\u667a\u80fd\u4f53<\/strong><\/span><\/p>\n<\/p>\n

\u5361\u5185\u57fa\u6885\u9686\u5927\u5b66\u7684 Graham Neubig \u6559\u6388\u505a\u4e86\u4e3b\u9898\u4e3a\u201cLLM Agents that Learn from Experience\u201d\u7684\u6f14\u8bb2\uff0c\u5c55\u793a\u4e86\u5176\u8fd1\u671f\u4e00\u9879\u540d\u4e3a\u201cBeyond Browsing: API-based Web Agents\u201d\u7684\u7814\u7a76\u5de5\u4f5c\u3002<\/p>\n

\u8bba\u6587\u94fe\u63a5\uff1ahttps:\/\/openreview.net\/forum?id=TPiJKs7ccR<\/p>\n

\u6211\u4eec\u5b9e\u73b0\u4e86\u4e00\u4e2a\u57fa\u7840\u7684\u6d4f\u89c8 Agent\u3002\u5b83\u57fa\u4e8e\u65e0\u969c\u788d\u529f\u80fd\u6811\u8fd0\u884c\uff0c\u80fd\u591f\u5728\u7b80\u5355\u5e03\u5c40\u7684\u7f51\u9875\u4e0a\u5408\u7406\u5730\u5bfc\u822a\u5e76\u586b\u5199\u8868\u5355\u3002\u8fd9\u5c31\u662f\u6211\u4eec\u7684\u57fa\u7ebf\u6a21\u578b\uff0c\u4e5f\u662f\u6211\u4eec\u5728\u201cAgents\u5de5\u4f5c\u6d41\u8bb0\u5fc6\u201d\u8bba\u6587\u4e2d\u6240\u4f7f\u7528\u7684\u57fa\u7ebf\u6a21\u578b\u3002<\/p>\n

\u4f46\u6311\u6218\u5728\u4e8e\u65e0\u969c\u788d\u529f\u80fd\u6811\u7ed3\u6784\u7684\u590d\u6742\u6027\uff0c\u8bb8\u591a\u8bed\u8a00\u6a21\u578b\u5bf9\u6b64\u5e76\u4e0d\u719f\u6089\u3002\u5f53\u5185\u5bb9\u5e76\u975e\u7acb\u5373\u53ef\u89c1\u65f6\uff0c\u5bfc\u822a\u4e5f\u4f1a\u53d8\u5f97\u68d8\u624b\uff0c\u56e0\u4e3a\u4f60\u9700\u8981\u6eda\u52a8\u9875\u9762\u3001\u5207\u6362\u9875\u9762\uff0c\u4ee5\u53ca\u5176\u4ed6\u7c7b\u4f3c\u7684\u64cd\u4f5c\u3002<\/p>\n

\u4e00\u4e2a\u5931\u8d25\u7684\u4f8b\u5b50\u662f\u8be2\u95ee\uff1a\u201cSaptaks \u5bf9 Allyproject \u505a\u4e86\u591a\u5c11\u6b21\u63d0\u4ea4\uff1f\u201d\u4e8e\u662f\uff0c Agents\u5c1d\u8bd5\u8fdb\u884c\u6d4f\u89c8\uff0c\u5b83\u8bd5\u56fe\u8bbf\u95ee GitLab.com\uff0c\u4f7f\u7528\u51ed\u636e\u767b\u5f55\uff0c\u70b9\u51fb\u9879\u76ee\uff0c\u70b9\u51fb\u63d0\u4ea4\u8bb0\u5f55\uff0c\u7136\u540e\u4e0d\u65ad\u5411\u4e0b\u6eda\u52a8\u3001\u5411\u4e0b\u6eda\u52a8\u2026\u2026\u6700\u7ec8\uff0c\u5b83\u8017\u5c3d\u4e86\u65f6\u95f4\uff0c\u5e76\u5f97\u51fa\u7ed3\u8bba\u8bf4\u6ca1\u6709\u627e\u5230\u4efb\u4f55\u63d0\u4ea4\u8bb0\u5f55\uff0c\u56e0\u6b64\u5b83\u8ba4\u4e3a\u6ca1\u6709\u63d0\u4ea4\u53d1\u751f\uff0c\u63d0\u4ea4\u6b21\u6570\u4e3a\u96f6\u3002<\/p>\n

\u53e6\u4e00\u65b9\u9762\uff0c\u6211\u4eec\u8fd8\u6709\u53e6\u4e00\u79cd\u4e0e\u73af\u5883\u4ea4\u4e92\u7684\u754c\u9762\u3002\u8fd9\u53ef\u4ee5\u662f\u50cf\u8c03\u7528API\u8fd9\u6837\u7684\u65b9\u5f0f\u3002\u5b83\u4e3a\u673a\u5668\u4e0e\u7f51\u7edc\u670d\u52a1\u4e4b\u95f4\u7684\u901a\u4fe1\u63d0\u4f9b\u4e86\u4e00\u4e2a\u76f4\u63a5\u7684\u63a5\u53e3\uff0c\u51cf\u5c11\u4e86\u64cd\u4f5c\u590d\u6742\u6027\uff0c\u5e76\u4e14\u7406\u60f3\u60c5\u51b5\u4e0b\uff0c\u6211\u4eec\u4f1a\u5f97\u5230\u66f4\u597d\u7684\u7ed3\u679c\u3002<\/p>\n

\u5982\u679c\u6211\u4eec\u770b\u770b API\uff0c\u5b83\u4eec\u662f\u9884\u5b9a\u4e49\u7684\u7aef\u70b9\uff0c\u5141\u8bb8\u8ba1\u7b97\u673a\u9ad8\u6548\u5730\u6267\u884c\u4efb\u52a1\uff0c\u5e76\u901a\u8fc7 GET\u3001POST\u3001PUT \u7b49\u8bf7\u6c42\u5b9e\u73b0\u4ea4\u4e92\uff0c\u8fd4\u56de\u7ed3\u6784\u5316\u6570\u636e\uff0c\u6bd4\u5982 JSON\u3002\u6709\u8da3\u7684\u662f\uff0c\u6211\u4eec\u5728\u6807\u51c6\u57fa\u51c6\u6d4b\u8bd5\uff08\u6bd4\u5982 Web\uff09\u4e2d\u4f7f\u7528\u7684\u8bb8\u591a\u7f51\u7ad9\u5df2\u7ecf\u63d0\u4f9b\u4e86 API\uff0c\u6240\u4ee5\u5728\u8bb8\u591a\u60c5\u51b5\u4e0b\uff0c\u8fd9\u4e9b API \u5df2\u7ecf\u5b58\u5728\u3002\u5982\u679c\u6211\u4eec\u80fd\u591f\u6070\u5f53\u5730\u4f7f\u7528\u5b83\u4eec\uff0c\u6211\u4eec\u5c31\u53ef\u4ee5\u901a\u8fc7 API \u4e0e\u8fd9\u4e9b\u7f51\u7ad9\u8fdb\u884c\u4ea4\u4e92\u3002<\/p>\n

\u5728\u8bb8\u591a\u60c5\u51b5\u4e0b\uff0c\u6211\u4eec\u5df2\u7ecf\u8fd9\u6837\u505a\u4e86\u3002\u4f46\u6709\u65f6\uff0c\u867d\u7136\u6709API\uff0c\u4f46\u6587\u6863\u5e76\u4e0d\u5b8c\u5584\u3002\u4e0d\u8fc7\u5e78\u8fd0\u7684\u662f\uff0c\u8fd9\u4e5f\u662f\u8bed\u8a00\u6a21\u578b\u64c5\u957f\u7684\u4e8b\u60c5\u3002\u4f60\u53ef\u4ee5\u76f4\u63a5\u8ba9\u8bed\u8a00\u6a21\u578b\u4e3a API \u751f\u6210\u6587\u6863\u3002<\/p>\n

\u8fd9\u662f\u4e00\u4e2a\u4f8b\u5b50\uff0c\u5728\u4e00\u4e2a API \u6587\u6863\u4e2d\uff0c\u5b83\u4f1a\u544a\u8bc9\u4f60\u5c5e\u6027\u7684\u7c7b\u578b\u3001\u5c5e\u6027\u7684\u63cf\u8ff0\uff0c\u4ee5\u53ca API \u7684\u8f93\u51fa\u4f1a\u662f\u4ec0\u4e48\uff0c\u4ee5\u53ca\u4f60\u53ef\u4ee5\u5982\u4f55\u6267\u884c\u8c03\u7528\u3002API\u8c03\u7528\u672c\u8d28\u4e0a\u662f\u901a\u8fc7\u8c03\u7528\u4ee3\u7801\u5b9e\u73b0\u7684\u3002\u4f60\u53ef\u4ee5\u4f7f\u7528requests.get\u8fd9\u6837\u7684\u8bf7\u6c42\uff0c\u800c\u8fd9\u5c31\u662f\u4e00\u4e2a\u54cd\u5e94\u7684\u4f8b\u5b50\u3002<\/p>\n

\u6211\u4eec\u8003\u5bdf\u7684\u662f\uff0c\u5982\u679c\u6211\u4eec\u628a\u4f20\u7edf\u4e0a\u7531\u6d4f\u89c8 Agent \u89e3\u51b3\u7684\u4efb\u52a1\uff0c\u8ba9 AI Agents \u901a\u8fc7 API \u6765\u5b8c\u6210\uff0c\u4f1a\u600e\u4e48\u6837\u5462\uff1f<\/p>\n

\u8fd9\u662f\u6211\u4eec\u57fa\u4e8e API \u7684 Agents\u3002\u6211\u4eec\u7684\u5b9e\u73b0\u65b9\u5f0f\u662f\u4f7f\u7528\u6211\u4eec Agents \u6846\u67b6\u4e2d\u7684\u6807\u51c6\u7f16\u7801 Agents\uff08OpenHands\uff09\uff0c\u5e76\u4ee5\u6211\u63a5\u4e0b\u6765\u4f1a\u8bb2\u7684\u65b9\u5f0f\uff0c\u4e3a\u5b83\u63d0\u4f9b\u5bf9 API \u7684\u8bbf\u95ee\u3002<\/p>\n

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\u90a3\u4e48\uff0c\u95ee\u9898\u6765\u4e86\uff0c\u4f60\u77e5\u9053\u7684\u9274\u4e8e API \u8c03\u7528\u7684\u597d\u5904\uff0c\u6211\u4eec\u5e94\u8be5\u5b8c\u5168\u629b\u5f03\u7f51\u9875\u6d4f\u89c8\u5417\uff1f\u5f53\u7136\uff0c\u7b54\u6848\u662f\u5426\u5b9a\u7684\u3002\u5982\u679c\u6211\u4eec\u67e5\u770b\u4e00\u767e\u4e2a\u968f\u673a\u62bd\u6837\u7684\u4efb\u52a1\u7684\u9519\u8bef\u5206\u5e03\uff0c\u5f53\u6211\u4eec\u5c06 API \u63d0\u4f9b\u7ed9\u6a21\u578b\u65f6\uff0c\u4f1a\u53d1\u73b0\u5176\u4e2d\u5927\u7ea6\u4e09\u5206\u4e4b\u4e00\u7684\u4efb\u52a1\u5b9e\u9645\u4e0a\u662f\u6b63\u786e\u7684\uff0c\u4f46 WebArena \u7684\u9a8c\u8bc1\u5668\u5374\u5224\u5b9a\u5b83\u4eec\u662f\u9519\u8bef\u7684\uff0c\u800c\u53e6\u5916 50% \u7684\u4efb\u52a1\u6839\u672c\u65e0\u6cd5\u901a\u8fc7 API \u89e3\u51b3\u3002<\/p>\n

\u539f\u56e0\u5728\u4e8e\uff0c\u5e76\u975e\u6240\u6709\u7f51\u7ad9\u90fd\u63d0\u4f9b\u5168\u9762\u7684 API \u652f\u6301\u3002\u5b83\u4eec\u5e76\u975e\u90fd\u6709\u5b8c\u5584\u7684 API \u6587\u6863\uff0c\u800c\u4e14\u7f51\u7ad9\u7684\u6df1\u5ea6\u590d\u6742\u6027\u4e5f\u662f\u4e00\u4e2a\u95ee\u9898\u3002<\/p>\n

\u56e0\u6b64\uff0c\u6211\u4eec\u63d0\u51fa\u7684\u4e00\u4e2a\u89e3\u51b3\u65b9\u6848\u662f\u521b\u5efa\u4e00\u4e2a\u6df7\u5408 Agent\u3002\u8fd9\u79cd Agent \u80fd\u591f\u4ea4\u66ff\u6267\u884c\u6d4f\u89c8\u548c API \u8c03\u7528\u64cd\u4f5c\uff0c\u5e76\u4e14\u5728\u6bcf\u4e00\u6b65\u4e2d\uff0c\u5b83\u4f1a\u9009\u62e9\u4e0e\u4eba\u7c7b\u6c9f\u901a\u3001\u751f\u6210\u81ea\u7136\u8bed\u8a00\u3001\u6267\u884c Python \u4ee3\u7801\uff08\u5305\u62ecAPI\u8c03\u7528\uff09\u4ee5\u53ca\u6267\u884c\u7f51\u9875\u6d4f\u89c8\u64cd\u4f5c\u3002<\/p>\n

\u6211\u4eec\u6839\u636e\u5f53\u524d\u53ef\u7528\u7684 API \u7684\u8d28\u91cf\u6765\u9009\u62e9\u64cd\u4f5c\uff1a<\/p>\n

\u6211\u4eec\u63d0\u793a Agent\uff0c\u5982\u679c\u5b58\u5728\u8db3\u591f\u7684 API\uff0c\u5c31\u5e94\u8be5\u5c1d\u8bd5\u4f7f\u7528 API\u3002\u4f46\u5982\u679c\u8db3\u591f\u7684 API \u4e0d\u5b58\u5728\uff0c\u5b83\u5c31\u53ef\u4ee5\u56de\u5230\u6d4f\u89c8\u6a21\u5f0f\u3002\u5728\u5176\u6267\u884c\u8f68\u8ff9\u7684\u6700\u540e\uff0c\u5f53\u5b83\u5b8c\u6210\u4e86\u6240\u6709\u9700\u8981\u505a\u7684\u4e8b\u60c5\u540e\uff0c\u6211\u4eec\u8981\u6c42 Agent \u8bbf\u95ee\u4e00\u4e2a\u80fd\u591f\u4e3a\u7528\u6237\u63d0\u4f9b\u7b54\u6848\u7684\u7f51\u9875\u3002\u8fd9\u6837\u505a\u7684\u60f3\u6cd5\u662f\uff0c\u5b83\u53ef\u80fd\u4f1a\u4f7f\u7528 API \u8c03\u7528\uff0c\u4f46\u6700\u7ec8\u4f1a\u5c06\u7ed3\u679c\u5c55\u793a\u5728\u7f51\u9875\u4e0a\u3002\u8fd9\u4e5f\u7b26\u5408 WebArena \u8bc4\u4f30\u7684\u8981\u6c42\uff0c\u5373\u9700\u8981\u8bbf\u95ee\u7279\u5b9a\u7684 URL\u3002<\/p>\n

\u6211\u4eec\u5728 WebArena \u4e0a\u8bc4\u4f30\u4e86\u6211\u4eec\u7684 Agents\u6846\u67b6\u3002\u6211\u4eec\u4f7f\u7528\u4e86 OpenHands\uff0c\u8fd9\u662f\u6211\u4eec\u6b63\u5728\u5f00\u53d1\u7684\u4e00\u79cd\u517c\u5177\u7f16\u7801\u548c\u6d4f\u89c8\u529f\u80fd\u7684 Agent\u3002<\/p>\n

\u5982\u679c\u4f60\u67e5\u770b Agent \u7684\u6027\u80fd\uff0c\u6211\u4eec\u5728\u591a\u4e2a\u7f51\u7ad9\u7c7b\u522b\u4e0a\u5bf9\u5176\u8fdb\u884c\u4e86\u8bc4\u4f30\uff0c\u53d1\u73b0\u5728\u67d0\u4e9b\u7279\u5b9a\u7c7b\u522b\u4e0a\u8f6c\u5411\u4f7f\u7528 API \u540e\uff0c\u6027\u80fd\u6709\u4e86\u663e\u8457\u63d0\u5347\u3002\u4f8b\u5982\uff0c\u5728 GitLab \u548c\u5730\u56fe\u4e0a\uff0c\u8f6c\u5411\u4f7f\u7528 API \u540e\u6027\u80fd\u5927\u5e45\u63d0\u5347\uff1b\u800c\u5728 Reddit \u548c\u7ba1\u7406\u7c7b\u7f51\u7ad9\u4e0a\uff0c\u8f6c\u5411\u4f7f\u7528 API \u540e\u6027\u80fd\u63d0\u5347\u8f83\u5c0f\uff0c\u4f46\u5f53\u6211\u4eec\u5207\u6362\u5230\u4f7f\u7528\u6df7\u5408 Agent \u65f6\uff0c\u6027\u80fd\u6709\u4e86\u66f4\u5927\u7684\u63d0\u5347\u3002<\/p>\n

\u90a3\u4e48\uff0c\u95ee\u9898\u53ef\u80fd\u5c31\u6765\u4e86\uff0c\u4e3a\u4ec0\u4e48\u4f1a\u8fd9\u6837\u5462\uff1f\u5176\u4e2d\u4e00\u4e2a\u539f\u56e0\u662f\u00a0API \u7684\u8d28\u91cf\u5f88\u91cd\u8981\u3002GitLab \u548c\u5730\u56fe\u7684 API \u975e\u5e38\u597d\uff0c\u5b83\u4eec\u5141\u8bb8\u4f60\u5b8c\u6210\u5728\u8fd9\u4e9b\u7f51\u7ad9\u4e0a\u9700\u8981\u505a\u7684\u5927\u591a\u6570\u4e8b\u60c5\u3002\u800c\u8d2d\u7269\u548c\u7ba1\u7406\u7c7b\u7f51\u7ad9\u7684 API \u8fd8\u7b97\u53ef\u4ee5\uff0c\u4f46\u5728 Reddit \u98ce\u683c\u7684\u4efb\u52a1\u4e2d\uff0cAPI \u7684\u8986\u76d6\u8303\u56f4\u975e\u5e38\u5dee\uff0c\u8fd9\u5bfc\u81f4\u4e86\u5728 Reddit \u4e0a\u4f7f\u7528 API \u7684\u6548\u679c\u4e0d\u4f73\u3002<\/p>\n

\u6211\u4eec\u6240\u505a\u7684\u5c31\u662f\u67e5\u770b\u4e86\u6240\u6709\u7684 API\uff0c\u5e76\u4e14\u7f16\u5199\u4e86\u4e00\u4e9b\u65b0\u7684 API\u3002\u867d\u7136\u6570\u91cf\u5e76\u4e0d\u591a\uff0c\u4f46\u6211\u4eec\u624b\u52a8\u7f16\u5199\u4e86\u51e0\u4e2a\uff0c\u8fd9\u4f7f\u5f97\u5728 Reddit \u4e0a\u4f7f\u7528 API \u7684 Agent \u7684\u51c6\u786e\u7387\u7ffb\u4e86\u4e00\u756a\u3002\u6240\u4ee5\uff0c\u62e5\u6709\u9ad8\u8d28\u91cf\u7684 API \u5bf9\u4e8e\u7f51\u7ad9\u6765\u8bf4\u662f\u5f88\u91cd\u8981\u7684\u3002<\/p>\n

\u4f46\u5c31\u8fd9\u9879\u5de5\u4f5c\u7684\u672a\u6765\u65b9\u5411\u800c\u8a00\uff0c\u5176\u4e2d\u4e4b\u4e00\u662f\u83b7\u53d6\u6216\u751f\u6210\u5408\u9002\u7684 API\u3002\u90a3\u4e48\uff0c\u6211\u4eec\u5982\u4f55\u80fd\u591f\u81ea\u52a8\u751f\u6210\u7f51\u7ad9\u7684 API\uff0c\u4ee5\u4fbf\u6211\u4eec\u80fd\u591f\u8c03\u7528\u4e00\u4e2a\u51fd\u6570\uff0c\u800c\u65e0\u9700 Agent \u4e8b\u5148\u5177\u5907\u8be5\u51fd\u6570\u3001\u4ee5\u53ca\u6539\u8fdb\u7aef\u70b9\u7684\u68c0\u7d22\u548c\u5229\u7528\uff1f\u6211\u4eec\u53ef\u80fd\u4f1a\u6709\u975e\u5e38\u4e30\u5bcc\u7684 API\uff0c\u5982\u4f55\u4ece\u4e2d\u7b5b\u9009\u51fa\u6211\u4eec\u9700\u8981\u7684\u90e8\u5206\u5462\uff1f<\/p>\n

\u672a\u6765\u9700\u8981\u6211\u4eec\u7ee7\u7eed\u63a2\u7d22\uff0c\u63a2\u7d22\u7684\u65b9\u5411\u5982\u4e0b\uff1a<\/p>\n

\u4e94\u3001AI \u65b0\u524d\u6cbf\uff1a\u5f62\u5f0f\u5316\u6570\u5b66\u63a8\u7406<\/strong><\/span><\/p>\n<\/p>\n

\u52a0\u5dde\u5927\u5b66\u4f2f\u514b\u5229\u5206\u6821\u7684 Dawn Song\uff08\u5b8b\u6653\u51ac\uff09\u6559\u6388\u505a\u4e86\u4e3b\u9898\u4e3a\u201cFormal Mathematical Reasoning: A New Frontierin Al\u201d\u7684\u6f14\u8bb2\uff0c\u63a2\u8ba8\u4e86 AI \u7684\u65b0\u524d\u6cbf\u2014\u2014\u5f62\u5f0f\u5316\u6570\u5b66\u63a8\u7406\u3002<\/p>\n

\u8bba\u6587\u94fe\u63a5\uff1ahttps:\/\/arxiv.org\/abs\/2412.16075<\/p>\n

AI \u5728\u5f62\u5f0f\u5316\u6570\u5b66\u4e2d\u6709\u5e7f\u6cdb\u5e94\u7528\u3002\u4e8b\u5b9e\u4e0a\uff0c\u6211\u4eec\u53ef\u4ee5\u5229\u7528\u5404\u79cd\u7ecf\u8fc7\u5f62\u5f0f\u5316\u9a8c\u8bc1\u7684\u5de5\u5177\uff0c\u6bd4\u5982\u5b9a\u7406\u8bc1\u660e\u5668\u7b49\u3002\u800c\u4e14\uff0c\u5b9e\u9645\u4e0a\u5b58\u5728\u8bb8\u591a\u4e0d\u540c\u7c7b\u578b\u7684\u5b9a\u7406\u8bc1\u660e\u7cfb\u7edf\u3002<\/p>\n

\u4f8b\u5982\uff0c\u5728 Lean \u4e2d\uff0c\u5f53\u6211\u4eec\u4f7f\u7528 AI \u8fdb\u884c\u5f62\u5f0f\u5316\u65f6\uff0c\u672c\u8d28\u4e0a\u6709\u4e00\u4e2a\u5de5\u4f5c\u6d41\u7a0b\u3002\u4e00\u65e6\u6211\u4eec\u6709\u4e86\u5f62\u5f0f\u5316\u7684\u5b9a\u7406\u9648\u8ff0\uff0c\u6211\u4eec\u5c31\u5e0c\u671b\u4f7f\u7528\u5b9a\u7406\u8bc1\u660e\u5668\u6765\u751f\u6210\u5f62\u5f0f\u5316\u8bc1\u660e\u3002<\/p>\n

\u5728\u8fd9\u4e00\u8fc7\u7a0b\u4e2d\uff0c\u8fd9\u4e00\u6b65\u662f AI \u53ef\u4ee5\u81ea\u52a8\u5316\u7684\u6b65\u9aa4\u4e4b\u4e00\u3002\u7136\u540e\uff0c\u751f\u6210\u7684\u5f62\u5f0f\u5316\u8bc1\u660e\u548c\u7ecf\u8fc7\u9a8c\u8bc1\u7684\u5b9a\u7406\u53ef\u4ee5\u88ab\u7eb3\u5165\u5f62\u5f0f\u5316\u6570\u5b66\u5e93\u3002<\/p>\n

\u6b64\u5916\uff0c\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528\u81ea\u52a8\u5f62\u5f0f\u5316\uff08auto formalization\uff09\u5c06\u975e\u5f62\u5f0f\u5316\u7684\u6570\u5b66\u5185\u5bb9\u8f6c\u6362\u4e3a\u5f62\u5f0f\u5316\u7684\u6570\u5b66\u9648\u8ff0\u3002<\/p>\n

\u5728\u8fd9\u4e2a\u5de5\u4f5c\u6d41\u7a0b\u4e2d\uff0c AI \u53ef\u4ee5\u5728\u591a\u4e2a\u6b65\u9aa4\u4e2d\u63d0\u4f9b\u5e2e\u52a9\u3002\u5176\u4e2d\u4e00\u4e2a\u5173\u952e\u6b65\u9aa4\u662f\uff0c\u7ed9\u5b9a\u4e00\u4e2a\u5b9a\u7406\u9648\u8ff0\uff0c\u6211\u4eec\u9700\u8981\u8fdb\u884c\u8bc1\u660e\u641c\u7d22\uff0c\u4ee5\u904d\u5386\u8bc1\u660e\u6811\uff0c\u6700\u7ec8\u627e\u5230\u4e00\u4e2a\u6709\u6548\u7684\u8bc1\u660e\u3002\u6211\u4eec\u5e0c\u671b\u5229\u7528 AI \uff0c\u7279\u522b\u662f\u5229\u7528\u8fd9\u4e9b\u5927\u8bed\u8a00\u6a21\u578b\uff0c\u80fd\u591f\u6784\u5efa\u51fa Proof Agents\uff0c\u4ece\u800c\u4f7f\u8fd9\u4e00\u8bc1\u660e\u641c\u7d22\u6b65\u9aa4\u81ea\u52a8\u5316\u3002<\/p>\n

\u6b64\u5916\uff0c AI \u8fd8\u53ef\u4ee5\u5e2e\u52a9\u81ea\u52a8\u5f62\u5f0f\u5316\uff0c\u5373\u5c06\u81ea\u7136\u8bed\u8a00\u4e2d\u7684\u975e\u5f62\u5f0f\u5316\u6570\u5b66\u9648\u8ff0\u8f6c\u6362\u4e3a\u5f62\u5f0f\u5316\u7684\u6570\u5b66\u5b9a\u7406\u9648\u8ff0\u3002\u4f8b\u5982\uff0c\u6700\u65b0\u7684\u7814\u7a76\u548c\u6a21\u578b\u5df2\u7ecf\u5c55\u793a\u4e86\u5982\u4f55\u5229\u7528\u5927\u578b\u8bed\u8a00\u6a21\u578b\uff08\u5982 Goedel-Prover\uff09\u5c06\u81ea\u7136\u8bed\u8a00\u6570\u5b66\u95ee\u9898\u7ffb\u8bd1\u6210\u5f62\u5f0f\u8bed\u8a00\uff08\u5982 Lean 4\uff09\uff0c\u5e76\u81ea\u52a8\u751f\u6210\u5b8c\u6574\u7684\u8bc1\u660e\u3002\u8fd9\u79cd\u81ea\u52a8\u5f62\u5f0f\u5316\u6280\u672f\u4e3a\u6570\u5b66\u5f62\u5f0f\u5316\u63a8\u7406\u63d0\u4f9b\u4e86\u65b0\u7684\u53ef\u80fd\u6027\uff0c\u663e\u8457\u63d0\u5347\u4e86\u6570\u5b66\u95ee\u9898\u7684\u5f62\u5f0f\u5316\u548c\u8bc1\u660e\u6548\u7387\u3002<\/p>\n

\u8fd1\u671f AI \u5728\u5f62\u5f0f\u5316\u6570\u5b66\u9886\u57df\u4e5f\u53d6\u5f97\u4e86\u8bb8\u591a\u8fdb\u5c55\u3002\u4f8b\u5982\uff0c\u8c37\u6b4c DeepMind \u7684 AlphaGeometry 2 \u5728\u89e3\u51b3\u56fd\u9645\u6570\u5b66\u5965\u6797\u5339\u514b\u7ade\u8d5b\uff08IMO\uff09\u51e0\u4f55\u95ee\u9898\u4e0a\u53d6\u5f97\u4e86\u63a5\u8fd1\u91d1\u724c\u6c34\u5e73\u7684\u6210\u7ee9\u3002\u6b64\u5916\uff0cGoedel-Prover \u4f5c\u4e3a\u5f00\u6e90\u7684\u5f62\u5f0f\u5316\u63a8\u7406\u6a21\u578b\uff0c\u901a\u8fc7\u5c06\u81ea\u7136\u8bed\u8a00\u6570\u5b66\u95ee\u9898\u7ffb\u8bd1\u6210\u5f62\u5f0f\u8bed\u8a00\uff08\u5982 Lean 4\uff09\uff0c\u5e76\u81ea\u52a8\u751f\u6210\u5b8c\u6574\u7684\u8bc1\u660e\uff0c\u663e\u8457\u63d0\u5347\u4e86\u5f62\u5f0f\u5316\u6570\u5b66\u95ee\u9898\u7684\u89e3\u51b3\u6548\u7387\u3002<\/p>\n

\u5c3d\u7ba1\u6574\u4e2a\u793e\u533a\u5df2\u7ecf\u53d6\u5f97\u4e86\u975e\u5e38\u663e\u8457\u7684\u8fdb\u5c55\uff0c\u4f46\u6211\u73b0\u5728\u60f3\u7b80\u8981\u4ecb\u7ecd\u4e00\u4e0b\u4e00\u4e9b\u5f00\u653e\u6027\u6311\u6218\u548c\u672a\u6765\u53d1\u5c55\u65b9\u5411\u3002<\/p>\n

\u9996\u5148\u5c31\u662f\u6570\u636e\u95ee\u9898\u3002<\/p>\n

\u4e00\u822c\u6765\u8bf4\uff0c\u5728\u6570\u5b66\u9886\u57df\uff0c\u5c24\u5176\u662f\u5f62\u5f0f\u5316\u6570\u5b66\u4e2d\uff0c\u6211\u4eec\u9762\u4e34\u6570\u636e\u7a00\u7f3a\u7684\u95ee\u9898\u3002\u4f8b\u5982\uff0c\u5bf9\u4e8e\u8bad\u7ec3Code Llama\uff0c\u5176\u8bad\u7ec3\u6570\u636e\u96c6\u5927\u7ea6\u6709 5000 \u4ebf\u4e2a token\uff0c\u4f46\u5f53\u6211\u4eec\u770b\u8fd9\u4e9b\u8bc1\u660e\u65f6\uff0c\u53ef\u7528\u7684\u8bc1\u660e\u6570\u636e\u91cf\u5374\u8fdc\u8fdc\u5c11\u4e8e\u8fd9\u4e2a\u89c4\u6a21\uff0c\u751a\u81f3\u76f8\u5dee\u51e0\u4e2a\u6570\u91cf\u7ea7\u3002\u56e0\u6b64\uff0c\u5bf9\u4e8e\u8fd9\u4e9b\u9886\u57df\uff0c\u5f00\u53d1\u5404\u79cd\u65b9\u6cd5\u6765\u89e3\u51b3\u6570\u636e\u7a00\u7f3a\u95ee\u9898\u663e\u5f97\u5c24\u4e3a\u91cd\u8981\u3002<\/p>\n

\u4e3a\u4e86\u89e3\u51b3\u5f62\u5f0f\u5316\u6570\u636e\u7684\u7a00\u7f3a\u95ee\u9898\uff0c\u5e78\u8fd0\u7684\u662f\uff0c\u6211\u4eec\u786e\u5b9e\u6709\u4e00\u4e9b\u5f88\u6709\u524d\u666f\u7684\u65b9\u5411\uff0c\u53ef\u4ee5\u63d0\u5347\u8fd9\u4e9b\u5f62\u5f0f\u5316\u6570\u636e\u7684\u53ef\u7528\u6027\u3002<\/p>\n

\u9996\u5148\u662f\u901a\u8fc7\u81ea\u52a8\u5f62\u5f0f\u5316\u6765\u521b\u5efa\u6570\u636e\u3002\u8fd9\u79cd\u81ea\u52a8\u5f62\u5f0f\u5316\u672c\u8d28\u4e0a\u662f\u8bad\u7ec3\u5927\u578b\u8bed\u8a00\u6a21\u578b\uff0c\u4f7f\u5176\u80fd\u591f\u5c06\u975e\u5f62\u5f0f\u5316\u7684\u6570\u5b66\u5185\u5bb9\u81ea\u52a8\u8f6c\u6362\u4e3a\u5f62\u5f0f\u5316\u7684\u6570\u5b66\u9648\u8ff0\u3002<\/p>\n

\u9274\u4e8e\u6211\u4eec\u6709\u5927\u91cf\u7684\u975e\u5f62\u5f0f\u5316\u6570\u5b66\u5185\u5bb9\uff0c\u6bd4\u5982\u6559\u79d1\u4e66\u548c\u5176\u4ed6\u5404\u79cd\u6750\u6599\uff0c\u901a\u8fc7\u6210\u529f\u7684\u81ea\u52a8\u5f62\u5f0f\u5316\uff0c\u6211\u4eec\u53ef\u4ee5\u81ea\u52a8\u5730\u751f\u6210\u8fd9\u4e9b\u5f62\u5f0f\u5316\u7684\u6570\u5b66\u9648\u8ff0\u3002\u6211\u4eec\u6700\u8fd1\u5728\u5229\u7528\u53cd\u9988\u5faa\u73af\u6765\u6539\u8fdb\u5927\u578b\u8bed\u8a00\u6a21\u578b\u7684\u81ea\u52a8\u5f62\u5f0f\u5316\u65b9\u9762\uff0c\u5df2\u7ecf\u770b\u5230\u4e86\u4ee4\u4eba\u5174\u594b\u7684\u8fdb\u5c55\u3002<\/p>\n

\u53e6\u5916\uff0c\u6700\u8fd1\u6211\u4e5f\u4e86\u89e3\u5230\uff0cAlphaGeometry \u80fd\u591f\u652f\u6301\u5f62\u5f0f\u5316\u6b65\u9aa4\uff0c\u751f\u6210\u5927\u7ea6 1 \u4ebf\u4e2a\u5f62\u5f0f\u5316\u95ee\u9898\u9648\u8ff0\u3002\u8fd9\u4e5f\u663e\u8457\u4fc3\u8fdb\u4e86\u5b83\u5728\u6700\u8fd1\u7684\u56fd\u9645\u6570\u5b66\u5965\u6797\u5339\u514b\u7ade\u8d5b\uff08IMO\uff09\u4e2d\u53d6\u5f97\u7684\u6210\u529f\u3002<\/p>\n

\u6b64\u5916\uff0cAlphaGeometry \u5728 IMO \u4e2d\u7684\u6210\u529f\u8fd8\u5f52\u529f\u4e8e\u5b83\u751f\u6210\u5408\u6210\u6570\u636e\u7684\u53e6\u4e00\u79cd\u65b9\u5f0f\u3002\u5b83\u901a\u8fc7\u51e0\u4f55\u89c4\u5219\u751f\u6210\u4e86\u00a01\u4ebf\u4e2a\u5408\u6210\u5b9a\u7406\u548c\u8bc1\u660e\uff0c\u4ece\u800c\u5e2e\u52a9\u5b83\u6210\u529f\u89e3\u51b3\u4e86\u00a0IMO\u00a0\u4e2d\u5177\u6709\u6311\u6218\u6027\u7684\u51e0\u4f55\u95ee\u9898\u3002\u8fd9\u4e5f\u4e3a\u89e3\u51b3\u6570\u636e\u7a00\u7f3a\u95ee\u9898\u63d0\u4f9b\u4e86\u4e00\u4e2a\u5f88\u597d\u7684\u4f8b\u5b50\u3002<\/p>\n

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\u76ee\u524d\u5728\u5f62\u5f0f\u5316\u6570\u5b66\u4e2d\u4f7f\u7528 AI \u7684\u65b9\u6cd5\uff0c\u4f8b\u5982 DeepSeek Prover \u7b49\u5de5\u5177\uff0c\u901a\u5e38\u662f\u76f4\u63a5\u751f\u6210\u5b8c\u6574\u7684\u8bc1\u660e\uff0c\u800c\u6ca1\u6709\u5145\u5206\u5229\u7528\u8bc1\u660e\u641c\u7d22\u3002\u8fd9\u79cd\u65b9\u6cd5\u867d\u7136\u5728\u67d0\u4e9b\u60c5\u51b5\u4e0b\u6709\u6548\uff0c\u4f46\u7f3a\u4e4f\u5bf9\u4e0d\u540c\u641c\u7d22\u7b97\u6cd5\uff08\u5982\u8499\u7279\u5361\u6d1b\u6811\u641c\u7d22\u3001\u6700\u4f73\u4f18\u5148\u641c\u7d22\u7b49\uff09\u7684\u6574\u5408\u3002\u56e0\u6b64\uff0c\u6211\u4eec\u5e0c\u671b\u5bf9\u8fd9\u4e9b\u4e0d\u540c\u7684\u7b97\u6cd5\u8fdb\u884c\u7cfb\u7edf\u6027\u8bc4\u4f30\uff0c\u4ee5\u5f00\u53d1\u51fa\u66f4\u597d\u7684\u89e3\u51b3\u65b9\u6848\u3002<\/p>\n

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\u6211\u4eec\u5e0c\u671b\u5229\u7528 AI \u5f00\u53d1\u51fa\u66f4\u597d\u7684\u5de5\u5177\uff0c\u878d\u5165\u6570\u5b66\u7814\u7a76\u7684\u5de5\u4f5c\u6d41\u7a0b\u4e2d\uff0c\u4e3a\u4eba\u7c7b\u6570\u5b66\u5bb6\u63d0\u4f9b\u8bc1\u660e\u8f85\u52a9\uff0c\u4e0e\u4eba\u7c7b\u6570\u5b66\u5bb6\u643a\u624b\u5408\u4f5c\uff0c\u5171\u540c\u653b\u514b\u5177\u6709\u6311\u6218\u6027\u548c\u524d\u6cbf\u6027\u7684\u6570\u5b66\u95ee\u9898\uff0c\u751f\u6210\u76f8\u5173\u8bc1\u660e\u7b49\u3002<\/p>\n

\u4e3a\u4e86\u4f7f\u8fd9\u4e9b\u5de5\u5177\u771f\u6b63\u53d1\u6325\u4f5c\u7528\uff0c\u672c\u8d28\u4e0a\u6211\u4eec\u9700\u8981\u5f00\u53d1\u66f4\u597d\u7684\u5de5\u5177\uff0c\u8fd9\u4e9b\u5de5\u5177\u4e0d\u4ec5\u7528\u4e8e\u81ea\u52a8\u5316\u5199\u4f5c\uff0c\u751f\u6210\u81ea\u52a8\u5316\u7684\u8bc1\u660e\u6b65\u9aa4\uff0c\u8fd8\u9700\u8981\u66f4\u597d\u5730\u7406\u89e3\u6570\u5b66\u5bb6\u5982\u4f55\u4f7f\u7528 AI \uff0c\u6bd4\u5982\u5f00\u5c55\u884c\u4e3a\u7814\u7a76\u6765\u89c2\u5bdf\u6570\u5b66\u5bb6\u4e0e AI \u7684\u4e92\u52a8\u3002\u6700\u7ec8\u76ee\u6807\u662f\u4e3a\u6570\u5b66\u5bb6\u5f00\u53d1\u51fa\u66f4\u597d\u3001\u66f4\u6709\u7528\u7684\u5de5\u5177\u3002<\/p>\n

\u6211\u4eec\u5e0c\u671b\u501f\u52a9\u8fd9\u4e9b\u5de5\u5177\uff0c\u80fd\u591f\u771f\u6b63\u5b9e\u73b0\u5927\u89c4\u6a21\u7684\u5206\u5e03\u5f0f\u534f\u4f5c\uff0c\u8ba9\u5206\u5e03\u5728\u5168\u7403\u7684\u6570\u5b66\u5bb6\u4e0e AI \u5de5\u5177\u643a\u624b\u5408\u4f5c\uff0c\u5c06\u5927\u578b\u9879\u76ee\u5206\u89e3\u4e3a\u4e0d\u540c\u7684\u7ec4\u4ef6\uff0c\u6574\u4e2a\u793e\u533a\u5171\u540c\u653b\u514b\u5177\u6709\u6311\u6218\u6027\u548c\u590d\u6742\u6027\u7684\u6570\u5b66\u95ee\u9898\u3002<\/p>\n

\u53e6\u4e00\u4e2a\u975e\u5e38\u91cd\u8981\u7684\u5e94\u7528\u9886\u57df\u662f\u4ee3\u7801\u751f\u6210\u548c\u7a0b\u5e8f\u9a8c\u8bc1\u3002<\/p>\n

\u5b83\u7684\u76ee\u6807\u4e0d\u4ec5\u4ec5\u662f\u5229\u7528 AI \u6765\u89e3\u51b3\u6570\u5b66\u95ee\u9898\uff0c\u66f4\u91cd\u8981\u7684\u662f\uff0c\u5b83\u53ef\u4ee5\u5e2e\u52a9\u4ece\u7a0b\u5e8f\u9a8c\u8bc1\u7684\u89d2\u5ea6\u6765\u6784\u5efa\u6b63\u786e\u4e14\u5b89\u5168\u7684\u7a0b\u5e8f\u3002<\/p>\n

\u5982\u4eca\uff0c\u4e0e LLaMA \u76f8\u5173\u7684\u4ee3\u7801\u751f\u6210\u5df2\u7ecf\u5f97\u5230\u4e86\u5e7f\u6cdb\u7684\u5e94\u7528\u3002\u6709\u4f30\u8ba1\u8868\u660e\uff0c\u5728\u4e00\u4e9b\u516c\u53f8\u548c\u9879\u76ee\u4e2d\uff0c\u8d85\u8fc7 50% \u7684\u4ee3\u7801\u73b0\u5728\u662f\u7531LLaMA\u751f\u6210\u7684\u3002\u4f46\u4e0e\u6b64\u540c\u65f6\uff0c\u786e\u4fdd\u751f\u6210\u4ee3\u7801\u7684\u6b63\u786e\u6027\u548c\u5b89\u5168\u6027\u9762\u4e34\u7740\u5de8\u5927\u7684\u6311\u6218\u3002\u4f8b\u5982\uff0c\u901a\u8fc7\u51e0\u4e2a\u6d4b\u8bd5\u7528\u4f8b\u53ef\u4ee5\u770b\u5230 AI \u751f\u6210\u7684\u4ee3\u7801\u4e0d\u4e00\u5b9a\u662f\u6b63\u786e\u7684\u3002<\/p>\n

\u6240\u4ee5\uff0c\u6211\u4eec\u4e0d\u5e94\u8be5\u4ec5\u4ec5\u751f\u6210\u4ee3\u7801\uff0c\u800c\u5e94\u8be5\u8fdb\u884c\u53ef\u9a8c\u8bc1\u7684\u4ee3\u7801\u751f\u6210\u2014\u2014\u5373\u5728\u751f\u6210\u4ee3\u7801\u7684\u540c\u65f6\uff0c\u8fd8\u8981\u751f\u6210\u4ee3\u7801\u7684\u5f62\u5f0f\u5316\u89c4\u8303\u3001\u4ee5\u53ca\u8bc1\u660e\u751f\u6210\u7684\u4ee3\u7801\u7b26\u5408\u8fd9\u4e9b\u5f62\u5f0f\u5316\u89c4\u8303\u7684\u5f62\u5f0f\u5316\u8bc1\u660e\u3002<\/p>\n

\u6bd4\u5982\u6211\u60f3\u4e3a\u8fd9\u4e2a\u95ee\u9898\u751f\u6210\u4ee3\u7801\uff0c\u8ba1\u7b97\u53d8\u91cf\u7684\u7edd\u5bf9\u503c\u51fd\u6570\uff0c\u90a3\u4e48\u6211\u4eec\u5b9e\u9645\u4e0a\u53ef\u4ee5\u751f\u6210\u4ee3\u7801\u7684\u89c4\u8303\uff0c\u540c\u65f6\u4e5f\u80fd\u751f\u6210\u8bc1\u660e\u3002\u901a\u8fc7\u8fd9\u79cd\u65b9\u5f0f\uff0c\u5c31\u53ef\u4ee5\u786e\u4fdd\u751f\u6210\u4ee3\u7801\u7684\u6b63\u786e\u6027\u3002<\/p>\n

\u7efc\u4e0a\uff0c\u6211\u5df2\u7ecf\u8ba8\u8bba\u4e86 AI \u5728\u5f62\u5f0f\u5316\u6570\u5b66\u9886\u57df\u7684\u591a\u4e2a\u4e0d\u540c\u65b9\u5411\u548c\u5e94\u7528\u9886\u57df\u4e2d\u7684\u5f00\u653e\u6027\u6311\u6218\u548c\u672a\u6765\u53d1\u5c55\u65b9\u5411\u3002<\/p>\n

\u6211\u8ba4\u4e3a\uff0c\u5728\u8fd9\u4e2a\u9886\u57df\uff0c\u63a5\u4e0b\u6765\u7684\u4e94\u5e74\u5c06\u4f1a\u975e\u5e38\u4ee4\u4eba\u6fc0\u52a8\u3002\u6211\u4eec\u5e0c\u671b\u5c06\u6574\u4e2a\u793e\u533a\u51dd\u805a\u5728\u4e00\u8d77\uff0c\u5171\u540c\u63a8\u52a8 AI \u5728\u5f62\u5f0f\u5316\u6570\u5b66\u548c\u5b9a\u7406\u8bc1\u660e\u9886\u57df\u7684\u53d1\u5c55\u3002<\/p>\n

\u516d\u3001Goedel-Prover\uff1a\u81ea\u52a8\u5b9a\u7406\u8bc1\u660e\u9886\u57df\u7684\u5f00\u6e90\u6a21\u578b<\/strong><\/span><\/p>\n<\/p>\n

\u666e\u6797\u65af\u987f\u5927\u5b66\u7684\u91d1\u9a70\u6559\u6388\u505a\u4e86\u4e3b\u9898\u4e3a\u201cGoedel-Prover: A Frontier Model for Open-Source Automated Theorem Proving\u201d\u7684\u6f14\u8bb2\uff0c\u63a2\u8ba8\u4e86Goedel-Prover\u8fd9\u4e00\u5f00\u6e90\u7684\u5927\u6a21\u578b\uff0c\u901a\u8fc7\u5c06\u81ea\u7136\u8bed\u8a00\u6570\u5b66\u95ee\u9898\u7ffb\u8bd1\u6210\u5f62\u5f0f\u8bed\u8a00\uff08\u5982 Lean 4\uff09\uff0c\u5e76\u751f\u6210\u5f62\u5f0f\u5316\u8bc1\u660e\uff0c\u4ece\u800c\u89e3\u51b3\u5f62\u5f0f\u5316\u6570\u5b66\u9648\u8ff0\u548c\u8bc1\u660e\u7a00\u7f3a\u7684\u95ee\u9898\u3002<\/p>\n

\u5728\u8fd9\u6b21\u6f14\u8bb2\u4e2d\uff0c\u6211\u4f1a\u4ecb\u7ecd\u6211\u4eec\u5f00\u53d1\u7684\u7cfb\u7edf\uff1aGoedel-Prover\u3002\u8fd9\u4e2a\u540d\u5b57\u6765\u6e90\u4e8e G\u00f6del\uff08\u54e5\u5fb7\u5c14\uff09\uff0c\u4e00\u4f4d\u5728\u5f62\u5f0f\u5316\u7cfb\u7edf\u9886\u57df\u975e\u5e38\u8457\u540d\u7684\u6570\u5b66\u5bb6\u3002Goedel-Prover \u662f\u4e00\u4e2a\u5f00\u6e90\u6a21\u578b\uff0c\u5728\u81ea\u52a8\u5b9a\u7406\u8bc1\u660e\u65b9\u9762\u8fbe\u5230\u4e86\u5f53\u524d\u7684\u6700\u4f73\u6027\u80fd\u6c34\u5e73\u3002<\/p>\n

\u8bba\u6587\u94fe\u63a5\uff1ahttps:\/\/arxiv.org\/abs\/2502.07640<\/p>\n

\u6211\u9996\u5148\u4f1a\u7a0d\u5fae\u8c08\u8c08\u8bc4\u4f30\uff0c\u56e0\u4e3a\u6211\u4e4b\u524d\u63d0\u51fa\u4e86\u4e00\u4e2a\u6bd4\u8f83\u5927\u80c6\u7684\u4e3b\u5f20\uff0c\u8bf4\u6211\u4eec\u8fbe\u5230\u4e86\u6700\u4f73\u6027\u80fd\u6c34\u5e73\u3002\u6240\u4ee5\uff0c\u8fd9\u5c31\u5f15\u51fa\u4e86\u4e00\u4e2a\u95ee\u9898\uff1a\u6211\u4eec\u5982\u4f55\u8bc4\u4f30\u6a21\u578b\uff0c\u4ee5\u53ca\u6211\u4eec\u5982\u4f55\u5224\u65ad\u4e00\u4e2a\u6a21\u578b\u662f\u597d\u7684\uff0c\u53e6\u4e00\u4e2a\u6a21\u578b\u662f\u4e0d\u597d\u7684\u3002<\/p>\n

\u6b63\u5982\u524d\u8ff0\uff0c\u5f62\u5f0f\u5316\u6570\u5b66\u7684\u4e00\u4e2a\u91cd\u5927\u6311\u6218\u662f\u6570\u636e\u7a00\u7f3a\u3002\u73b0\u6709\u7684\u8bad\u7ec3\u6570\u636e\u548c\u8bc4\u4f30\u65b9\u5f0f\u5728\u67d0\u79cd\u7a0b\u5ea6\u4e0a\u662f\u6709\u9650\u7684\uff0c\u8fd9\u662f\u5f00\u6e90\u793e\u533a\u4e2d\u4e3b\u8981\u7684\u6570\u636e\u96c6\u548c\u57fa\u51c6\u6d4b\u8bd5\u3002\u8bad\u7ec3\u6570\u636e\u672c\u8d28\u4e0a\u662f\u65e2\u5305\u542b Lean \u4e2d\u7684\u95ee\u9898\u9648\u8ff0\uff0c\u4e5f\u5305\u542b Lean \u4e2d\u7684\u8bc1\u660e\u3002<\/p>\n

\u4e5f\u5c31\u662f\u8bf4\uff0c\u6211\u4eec\u4e3a\u4f60\u63d0\u4f9b\u4e86\u8fd9\u4e9b\u95ee\u9898\u9648\u8ff0\u7684\u5f62\u5f0f\u5316\u8bc1\u660e\uff0c\u8fd8\u6709\u8bc4\u4f30\u6570\u636e\u96c6\uff0c\u5176\u4e2d\u5f88\u591a\u6570\u636e\u96c6\u53ea\u5305\u542b\u95ee\u9898\u9648\u8ff0\uff0c\u6ca1\u6709\u8bc1\u660e\u3002\u4e5f\u5c31\u662f\u8bf4\uff0c\u6211\u4eec\u9700\u8981\u8ba9\u6a21\u578b\u81ea\u5df1\u751f\u6210\u8bc1\u660e\uff0c\u5e76\u8ba9 Lean \u7f16\u8bd1\u5668\u68c0\u67e5\u8fd9\u4e9b\u8bc1\u660e\u662f\u5426\u6b63\u786e\u3002<\/p>\n

\u5176\u4e2d\u975e\u5e38\u8457\u540d\u7684\u4e00\u4e2a\u662f\u6570\u636e\u96c6 MiniF2F\u3002\u5f88\u591a\u6a21\u578b\u90fd\u5728\u8fd9\u4e2a\u6570\u636e\u96c6\u4e0a\u8fdb\u884c\u4e86\u8bc4\u4f30\u3002\u5b83\u5305\u542b\u4e86\u4e0d\u540c\u96be\u5ea6\u7ea7\u522b\u7684\u6570\u5b66\u95ee\u9898\uff0c\u6709\u4e9b\u975e\u5e38\u96be\uff0c\u6709\u4e9b\u5219\u76f8\u5bf9\u7b80\u5355\u3002<\/p>\n

\u6240\u4ee5\uff0c\u5f88\u591a\u4e8b\u60c5\u90fd\u4f1a\u96c6\u4e2d\u5728 MiniF2F \u57fa\u51c6\u6d4b\u8bd5\u4e0a\uff0c\u6211\u4eec\u4f1a\u8bf4\u5b83\u5305\u542b 244 \u4e2a\u9a8c\u8bc1\u95ee\u9898\u548c 244 \u4e2a\u6d4b\u8bd5\u95ee\u9898\u3002\u8fd9\u4e9b\u95ee\u9898\u6db5\u76d6\u4e86\u6781\u5177\u6311\u6218\u6027\u7684\u6570\u5b66\u95ee\u9898\uff0c\u6bd4\u5982\u56fd\u9645\u6570\u5b66\u5965\u6797\u5339\u514b\u7ade\u8d5b\uff08IMO\uff09\u3001AIME\uff08\u7f8e\u56fd\u6570\u5b66\u9080\u8bf7\u8d5b\uff09\u3001ACM\uff08\u7f8e\u56fd\u8ba1\u7b97\u673a\u534f\u4f1a\uff09\u76f8\u5173\u95ee\u9898\uff0c\u4ee5\u53ca\u4e0d\u540c\u96be\u5ea6\u7ea7\u522b\u7684\u4ee3\u6570\u95ee\u9898\uff08\u4ece5\u7ea7\u52301\u7ea7\uff09\u548c\u6570\u8bba\u95ee\u9898\uff08\u4ece5\u7ea7\u52301\u7ea7\uff09\uff0c\u8fd8\u6709\u8bb8\u591a\u5176\u4ed6\u7c7b\u578b\u7684\u95ee\u9898\u3002<\/p>\n

\u5728\u6211\u4eec\u8ba8\u8bba\u5b8c\u8bc4\u4f30\u6570\u636e\u96c6\u4e4b\u540e\uff0c\u6211\u4eec\u8fd8\u4f1a\u8bc4\u4f30\u6027\u80fd\u3002\u6211\u4eec\u8fd8\u5e0c\u671b\u8ba8\u8bba\u4e00\u4e0b\u5728\u6211\u4eec\u4e4b\u524d\uff0c\u4ec0\u4e48\u662f\u6700\u4f73\u6a21\u578b\uff08SOTA\uff0cState of the Art\uff09\u3002\u4e3a\u4e86\u80fd\u591f\u8fdb\u884c\u975e\u5e38\u516c\u5e73\u7684\u6bd4\u8f83\uff0c\u751f\u6210\u8fd9\u79cd\u5f62\u5f0f\u5316\u6570\u5b66\u7684\u7cfb\u7edf\u4e3b\u8981\u6709\u4e24\u79cd\u7c7b\u578b\uff1a<\/p>\n

\u4e00\u79cd\u662f\u6574\u4f53\u8bc1\u660e\u751f\u6210\u7684\u98ce\u683c\u3002\u672c\u8d28\u4e0a\uff0c\u4f60\u6709\u4e00\u4e2a\u8bed\u8a00\u6a21\u578b\uff0c\u5b83\u4f1a\u5728\u7ed9\u5b9a\u95ee\u9898\u7684\u60c5\u51b5\u4e0b\u4e00\u6b21\u6027\u751f\u6210\u6574\u4e2a\u8bc1\u660e\u3002\u4e00\u4e2a\u5177\u6709\u4ee3\u8868\u6027\u7684\u6a21\u578b\u662f DeepSeek Prover\uff0c\u6bd4\u5982 DeepSeek v1 \u6216 DeepSeek v1.5\u3002\u8bc4\u4f30\u8fd9\u7c7b\u6a21\u578b\u7684\u4e00\u4e2a\u975e\u5e38\u91cd\u8981\u7684\u6307\u6807\u662f\uff0c\u4f60\u9700\u8981\u751f\u6210\u591a\u5c11\u4e2a\u8bc1\u660e\uff08\u6bd4\u5982\u4f60\u91c7\u6837\u4e86\u591a\u5c11\u4e2a\u8bc1\u660e\uff09\uff0c\u624d\u80fd\u5f97\u5230\u4e00\u4e2a\u6b63\u786e\u7684\u8bc1\u660e\u3002<\/p>\n

\u6362\u53e5\u8bdd\u8bf4\uff0c\u6211\u4eec\u53ef\u80fd\u4f1a\u8bf4\u201c\u901a\u8fc7\u7387\u8fbe\u523032\u6b21\/6400\u201d\uff0c\u8fd9\u610f\u5473\u7740\u4f60\u5b9e\u9645\u4e0a\u751f\u6210\u4e86\u5927\u7ea620\u4e07\u4e2a\u8bc1\u660e\uff0c\u53ea\u8981\u5176\u4e2d\u6709\u4e00\u4e2a\u8bc1\u660e\u662f\u6b63\u786e\u7684\uff0c\u6709\u4e00\u4e2a\u8bc1\u660e\u901a\u8fc7\u4e86Lean\u7f16\u8bd1\u5668\u7684\u9a8c\u8bc1\uff0c\u6211\u4eec\u5c31\u53ef\u4ee5\u8bf4\u6211\u4eec\u89e3\u51b3\u4e86\u8fd9\u4e2a\u95ee\u9898\u3002\u56e0\u6b64\uff0c\u201c\u901a\u8fc7\u7387\u201d\u662f\u4e00\u4e2a\u5728\u8bc4\u4f30\u6574\u4f53\u8bc1\u660e\u751f\u6210\u4e2d\u975e\u5e38\u91cd\u8981\u7684\u6307\u6807\u3002<\/p>\n

\u53e6\u4e00\u79cd\u7c7b\u578b\u662f\u6811\u641c\u7d22\u65b9\u6cd5\u3002\u4e0e\u4e00\u6b21\u6027\u751f\u6210\u6574\u4e2a\u8bc1\u660e\u4e0d\u540c\uff0c\u8fd9\u79cd\u65b9\u6cd5\u662f\u9010\u6b65\u751f\u6210\u7684\u3002\u5728\u751f\u6210\u4e00\u6b65\u4e4b\u540e\uff0c\u6211\u4eec\u4f1a\u4f7f\u7528\u67d0\u79cd\u6811\u641c\u7d22\u7b97\u6cd5\uff0c\u6bd4\u5982\u5e7f\u5ea6\u4f18\u5148\u641c\u7d22\u6216\u6700\u4f73\u4f18\u5148\u641c\u7d22\u7b49\uff0c\u6765\u641c\u7d22\u53ef\u80fd\u7684\u6700\u4f73\u4e0b\u4e00\u6b65\u3002\u4e00\u4e9b\u4ee3\u8868\u6027\u6a21\u578b\uff0c\u6bd4\u5982InternLMs \u548c AlphaProof \u7cfb\u7edf\uff08\u6211\u8ba4\u4e3a\u5b83\u65e2\u7528\u4e8e\u51e0\u4f55\u95ee\u9898\uff0c\u4e5f\u7528\u4e8e\u4ee3\u6570\u95ee\u9898\uff09\uff0c\u90fd\u91c7\u7528\u4e86\u8fd9\u79cd\u57fa\u4e8e\u6811\u7684\u65b9\u6cd5\u3002<\/p>\n

\u6211\u4eec\u53ea\u4e0e\u6574\u4f53\u8bc1\u660e\u751f\u6210\u7cfb\u7edf\u8fdb\u884c\u6bd4\u8f83\uff0c\u56e0\u4e3a\u6211\u4eec\u7684\u6a21\u578b Goedel-Prover\u662f\u4e00\u4e2a\u6574\u4f53\u8bc1\u660e\u751f\u6210\u7cfb\u7edf\u3002\u4e0d\u8fc7\uff0c\u6211\u4eec\u4e5f\u6709\u5176\u4ed6\u65b9\u6cd5\u53ef\u4ee5\u4e0e\u5f00\u6e90\u7684\u6811\u641c\u7d22\u65b9\u6cd5\u548c\u5185\u90e8\u65b9\u6cd5\u8fdb\u884c\u6bd4\u8f83\u3002\u6211\u4eec\u6ca1\u6709\u4e0e AlphaProof \u8fdb\u884c\u6bd4\u8f83\uff0c\u56e0\u4e3a\u5b83\u662f\u4e00\u4e2a\u95ed\u6e90\u7cfb\u7edf\uff0c\u5c3d\u7ba1\u5b83\u7684\u6027\u80fd\u975e\u5e38\u597d\uff0c\u4f46\u5230\u76ee\u524d\u4e3a\u6b62\uff0c\u8be5\u6a21\u578b\u5e76\u672a\u5f00\u6e90\u3002<\/p>\n

\u9996\u5148\uff0c\u6211\u4f1a\u5173\u6ce8\u5c0f\u578b\u5316\u6570\u636e\u96c6\u3002\u6211\u4eec\u5728\u8def\u5f84\u96c632\u4e0a\u8fdb\u884c\u4e86\u8bc4\u4f30\uff0c\u6b64\u524d\u7684\u6700\u4f73\u6c34\u5e73\u662fDeepSeek Prover\uff0c\u4ed6\u4eec\u5728\u7ecf\u8fc7\u76d1\u7763\u5fae\u8c03\u6216\u5f3a\u5316\u5b66\u4e60\u540e\u6709\u4e00\u4e9b\u53d8\u4f53\u3002\u5728\u8def\u5f8432\u4e0a\uff0c\u8fd9\u662f\u4e00\u4e2a\u76f8\u5bf9\u8f83\u5c0f\u7684\u9884\u7b97\uff0c\u6bd4\u5982\u91c7\u6837\u63a8\u7406\u65f6\u95f4\uff0c\u4ed6\u4eec\u8fbe\u5230\u4e86\u5927\u7ea650%\u7684\u51c6\u786e\u7387\u3002\u800c\u6211\u4eec\u7684\u6a21\u578b\u5728\u8def\u5f8432\u4e0a\u8fbe\u5230\u4e8657%\u7684\u51c6\u786e\u7387\uff0c\u6bd4\u4e4b\u524d\u7684\u6700\u4f73\u6c34\u5e73\u9ad8\u51fa7\u4e2a\u767e\u5206\u70b9\u3002<\/p>\n

\u4f60\u4e5f\u53ef\u4ee5\u95ee\uff0c\u5f53\u6211\u4eec\u589e\u52a0\u63a8\u7406\u8ba1\u7b97\u91cf\u65f6\uff0c\u6211\u4eec\u7684\u6a21\u578b\u8868\u73b0\u5982\u4f55\u3002\u8fd9\u5c31\u662f\u8fd9\u5f20\u56fe\u5c55\u793a\u7684\u5185\u5bb9\u3002\u6211\u4eec\u53ef\u4ee5\u770b\u5230\u4e00\u4e9b\u4e00\u81f4\u7684\u6539\u8fdb\uff0c\u6211\u4eec\u7684\u6a21\u578b\u4e0eDeepSeek Prover\u4e4b\u95f4\u5927\u7ea6\u67097\u4e2a\u767e\u5206\u70b9\u7684\u6027\u80fd\u5dee\u8ddd\u3002<\/p>\n

\u7b2c\u4e8c\u70b9\u662f\uff0c\u6211\u4eec\u8fd8\u5e0c\u671b\u5728 PutnamBench \u4e0a\u8bc4\u4f30\u6211\u4eec\u7684\u6a21\u578b\u3002\u8fd9\u662f\u4e00\u4e2a\u5305\u542b\u6240\u6709\u6c38\u4e45\u6027\u6570\u5b66\u7ade\u8d5b\u95ee\u9898\u7684\u57fa\u51c6\u6d4b\u8bd5\uff0c\u8fd9\u4e9b\u95ee\u9898\u6781\u5177\u6311\u6218\u6027\u3002\u6211\u4eec\u5728\u8be5\u57fa\u51c6\u6d4b\u8bd5\u4e2d\u83b7\u5f97\u4e86\u7b2c\u4e00\u540d\uff0c\u89e3\u51b3\u4e86\u4e03\u4e2a\u95ee\u9898\u3002\u6211\u8ba4\u4e3a\u7b2c\u4e8c\u540d\u7684\u6a21\u578b\u4e5f\u89e3\u51b3\u4e86\u4e03\u4e2a\u95ee\u9898\uff0c\u4f46\u5b83\u4e0d\u662f\u5f00\u6e90\u7684\u3002\u6211\u4eec\u6392\u540d\u7b2c\u4e00\uff0c\u662f\u56e0\u4e3a\u6211\u4eec\u5b9e\u9645\u4e0a\u4f7f\u7528\u4e86\u66f4\u5c11\u7684\u63a8\u7406\u65f6\u95f4\u548c\u8ba1\u7b97\u8d44\u6e90\uff0c\u6211\u4eec\u901a\u8fc7\u4e86512\u3002<\/p>\n

\u5176\u4ed6\u4e00\u4e9b\u6210\u679c\uff0c\u6bd4\u5982\u6211\u4eec\u4e4b\u524d\u63d0\u5230\u7684 Lean-Workbook\uff0c\u5b83\u662f\u4e00\u4e2a\u5e9e\u5927\u7684\u8bad\u7ec3\u6570\u636e\u96c6\uff0c\u4f46\u4e0d\u5e78\u7684\u662f\uff0c\u5176\u4e2d\u53ea\u6709\u5f88\u5c0f\u4e00\u90e8\u5206\u8bad\u7ec3\u6570\u636e\u662f\u6709\u8bc1\u660e\u7684\u3002\u6bd4\u5982\uff0c\u4ed6\u4eec\u63d0\u4f9b\u4e86\u5927\u91cf\u7684\u95ee\u9898\u9648\u8ff0\uff0c\u4f46\u5176\u4e2d\u53ea\u6709\u5f88\u5c0f\u4e00\u90e8\u5206\u95ee\u9898\u9648\u8ff0\u9644\u6709\u8bc1\u660e\u3002<\/p>\n

\u56e0\u6b64\uff0c\u4ee5\u524d\u7684\u6a21\u578b\u6216\u8005\u73b0\u6709\u7684\u6240\u6709\u5de5\u4f5c\uff0c\u603b\u5171\u53ea\u80fd\u627e\u5230\u5927\u7ea6 1.5 \u4e07\u5230 5 \u4e07\u4efd Lean-Workbook \u7684\u8bc1\u660e\uff0c\u800c\u6211\u4eec\u7684\u6a21\u578b\u80fd\u591f\u627e\u5230\u5927\u7ea6 3 \u4e07\u4efd\uff0c\u51e0\u4e4e\u662f\u4e4b\u524d\u627e\u5230\u7684\u8bc1\u660e\u6570\u91cf\u7684\u4e24\u500d\u3002\u8fd9\u4e5f\u5728\u6211\u4eec\u6d4b\u8bd5\u7684\u591a\u4e2a\u6570\u636e\u96c6\u4e0a\u5f97\u5230\u4e86\u4f53\u73b0\uff0c\u5305\u62ecminiF2F\u3001ProofNets \u548c FormalNuminous\uff0c\u8fd9\u4e9b\u662f\u6211\u4eec\u7528\u4f5c\u57fa\u51c6\u7684\u5185\u90e8\u6570\u636e\u96c6\u3002<\/p>\n

\u5728\u4ecb\u7ecd\u5b8c\u6211\u4eec\u7684\u6027\u80fd\u4e4b\u540e\uff0c\u6211\u8fd8\u60f3\u7a0d\u5fae\u8bf4\u4e00\u4e0b\u6211\u4eec\u662f\u5982\u4f55\u5b9e\u73b0\u8fd9\u4e00\u6210\u679c\u7684\u3002<\/p>\n

\u4e8b\u5b9e\u8bc1\u660e\uff0c\u6211\u4eec\u7684\u6574\u4f53\u65b9\u6cd5\u5e76\u4e0d\u590d\u6742\uff0c\u8fd9\u6b63\u662f\u6211\u559c\u6b22\u7684\u2014\u2014\u5b83\u975e\u5e38\u7b80\u5355\u4e14\u6e05\u6670\uff0c\u6211\u8ba4\u4e3a\u8fd9\u4f5c\u4e3a\u4e00\u4e2a\u8d77\u70b9\uff0c\u5bf9\u4e8e\u63a8\u52a8\u81ea\u52a8\u5b9a\u7406\u8bc1\u660e\u7684\u53d1\u5c55\u662f\u975e\u5e38\u597d\u7684\u3002<\/p>\n

\u5f62\u5f0f\u5316\u6570\u5b66\u4e2d\u6700\u5173\u952e\u7684\u6311\u6218\u4e4b\u4e00\u5c31\u662f\u6570\u636e\u7a00\u7f3a\u3002<\/p>\n

\u5c3d\u7ba1 DeepSeek \u58f0\u79f0\u4ed6\u4eec\u5f62\u5f0f\u5316\u4e86\u5f88\u591a\u5927\u578b\u6570\u636e\u96c6\uff0c\u4f46\u4e0d\u5e78\u7684\u662f\uff0c\u5728\u5f00\u6e90\u793e\u533a\u4e2d\uff0c\u53ef\u7528\u7684\u6570\u636e\u96c6\u548c\u6570\u636e\u975e\u5e38\u7a00\u5c11\u3002\u4f60\u53ef\u4ee5\u770b\u5230\uff0c\u6211\u4eec\u5927\u7ea6\u6709 1000 \u4e07\u975e\u5f62\u5f0f\u5316\u7684\u95ee\u9898\uff0c\u4f46\u5f62\u5f0f\u5316\u7684\u95ee\u9898\u9648\u8ff0\u5374\u5c11\u5f97\u591a\uff0c\u4f8b\u5982\uff0c\u6211\u4eec\u53ea\u6709\u5927\u7ea6 40 \u4e07\u5f62\u5f0f\u5316\u7684\u95ee\u9898\u9648\u8ff0\uff0c\u4ee5\u53ca\u4ec5\u6709 1.5 \u4e07\u4e2a\u5f62\u5f0f\u5316\u7684\u8bc1\u660e\uff0c\u8fd9\u4e2a\u6570\u91cf\u662f\u975e\u5e38\u975e\u5e38\u5c11\u7684\u3002\u57fa\u4e8e\u8fd9\u6837\u5c11\u91cf\u7684\u6570\u636e\uff0c\u8981\u8bad\u7ec3\u51fa\u4e00\u4e2a\u597d\u7684\u8bc1\u660e\u5668\u662f\u975e\u5e38\u56f0\u96be\u7684\u3002<\/p>\n

\u6240\u4ee5\uff0c\u6211\u4eec\u9996\u5148\u9700\u8981\u505a\u7684\u662f\u83b7\u53d6\u66f4\u591a\u5f62\u5f0f\u5316\u9648\u8ff0\uff0c\u4ee5\u4fbf\u6211\u4eec\u80fd\u591f\u83b7\u5f97\u66f4\u597d\u7684\u8bad\u7ec3\u57fa\u7840\uff0c\u6211\u4eec\u9700\u8981\u83b7\u53d6\u66f4\u591a\u7684\u9648\u8ff0\u548c\u66f4\u591a\u7684\u8bc1\u660e\u3002\u5bf9\u4e8e\u9648\u8ff0\uff0c\u6211\u4eec\u91c7\u7528\u4e86\u81ea\u52a8\u5f62\u5f0f\u5316\u7684\u9014\u5f84\u3002\u56e0\u6b64\uff0c\u6211\u4eec\u9996\u5148\u6536\u96c6\u4e86\u5927\u91cf\u65e2\u6709\u5f62\u5f0f\u5316\u53c8\u6709\u975e\u5f62\u5f0f\u5316\u9648\u8ff0\u7684\u914d\u5bf9\u3002\u8fd9\u4e9b\u662f\u6211\u4eec\u540c\u65f6\u62e5\u6709\u5f62\u5f0f\u5316\u548c\u975e\u5f62\u5f0f\u5316\u9648\u8ff0\u7684\u6570\u5b66\u95ee\u9898\u3002\u6211\u4eec\u4ece Lean-Workbook \u4e2d\u83b7\u53d6\u4e86 14 \u4e07\u4e2a\u8fd9\u6837\u7684\u914d\u5bf9\uff0c\u5b83\u4eec\u540c\u65f6\u63d0\u4f9b\u4e86\u5f62\u5f0f\u5316\u548c\u975e\u5f62\u5f0f\u5316\u7684\u9648\u8ff0\uff1b\u6b64\u5916\uff0c\u6211\u4eec\u8fd8\u4ece\u4e91\u7aef\u751f\u6210\u4e86\u53e6\u5916 17 \u4e07\u4e2a\u914d\u5bf9\u3002<\/p>\n

\u7b2c\u4e8c\u4ef6\u4e8b\u662f\u6211\u4eec\u9700\u8981\u8bad\u7ec3\u4e00\u4e2a\u5f62\u5f0f\u5316\u5668\uff0c\u56e0\u4e3a\u4ec5\u4ec5 10 \u4e07\u4e2a\u95ee\u9898\u9648\u8ff0\u662f\u4e0d\u591f\u7684\u3002\u4e3a\u4e86\u505a\u5230\u8fd9\u4e00\u70b9\uff0c\u6211\u4eec\u8bad\u7ec3\u4e86\u6211\u4eec\u81ea\u5df1\u7684\u5f62\u5f0f\u5316\u5668\u3002\u6211\u4eec\u4ece Qwen2.5-32B \u6a21\u578b\u5f00\u59cb\uff0c\u5c06\u8fd9\u4e9b\u5f62\u5f0f\u5316\u548c\u975e\u5f62\u5f0f\u5316\u7684\u9648\u8ff0\u914d\u5bf9\u8f93\u5165\u5176\u4e2d\uff0c\u6700\u7ec8\u5f97\u5230\u4e86\u6211\u4eec\u7684\u5f62\u5f0f\u5316\u5668\u3002\u4e00\u65e6\u6211\u4eec\u6709\u4e86\u5f62\u5f0f\u5316\u5668\uff0c\u6211\u4eec\u5c31\u53ef\u4ee5\u5904\u7406\u4e00\u4e2a\u66f4\u5927\u89c4\u6a21\u7684\u975e\u5f62\u5f0f\u5316\u6570\u636e\u96c6\u3002\u5728\u8fd9\u4e00\u8fc7\u7a0b\u4e2d\uff0c\u6211\u4eec\u7279\u522b\u4f7f\u7528\u4e86 Numina \u6570\u636e\u96c6\uff0c\u5b83\u5305\u542b\u4e86\u5927\u7ea6 80 \u4e07\u4e2a\u9ad8\u8d28\u91cf\u7684\u6570\u5b66\u95ee\u9898\u3002\u6211\u4eec\u5c06\u8fd9\u4e9b\u975e\u5f62\u5f0f\u5316\u7684\u95ee\u9898\u5f62\u5f0f\u5316\u4e3a\u5f62\u5f0f\u5316\u9648\u8ff0\u3002<\/p>\n

\u5173\u4e8e\u76f4\u63a5\u8fdb\u884c\u81ea\u52a8\u5f62\u5f0f\u5316\u9648\u8ff0\uff0c\u5b58\u5728\u4e00\u4e9b\u95ee\u9898\uff1a<\/p>\n

\u7b2c\u4e00\u4e2a\u95ee\u9898\u662f\uff0c\u5b83\u53ef\u80fd\u4f1a\u4ea7\u751f\u5927\u91cf\u8bed\u6cd5\u9519\u8bef\u3002\u4f8b\u5982\uff0c\u6211\u4eec\u9700\u8981\u5728 Lean \u4e2d\u5f62\u5f0f\u5316\u8fd9\u4e9b\u9648\u8ff0\uff0c\u4f46\u5176\u4e2d\u4e00\u4e9b\u53ef\u80fd\u8bed\u6cd5\u9519\u8bef\uff0c\u65e0\u6cd5\u901a\u8fc7 Lean \u7f16\u8bd1\u5668\u7684\u9a8c\u8bc1\u3002\u56e0\u6b64\uff0c\u6211\u4eec\u4f1a\u8fdb\u884c\u7f16\u8bd1\u6b63\u786e\u6027\u6d4b\u8bd5\uff0c\u672c\u8d28\u4e0a\u5c31\u662f\u90e8\u7f72 Lean \u7f16\u8bd1\u5668\u3002\u5982\u679c\u7f16\u8bd1\u5668\u65e0\u6cd5\u901a\u8fc7\uff0c\u4f8b\u5982\u8fd4\u56de\u4e00\u4e9b\u9519\u8bef\u63d0\u793a\uff0c\u6211\u4eec\u4f1a\u8981\u6c42\u6a21\u578b\u8fdb\u884c\u4fee\u6b63\u3002<\/p>\n

\u7b2c\u4e8c\u4e2a\u95ee\u9898\u662f\uff0c\u5373\u4f7f\u8bed\u6cd5\u6b63\u786e\uff0c\u5f62\u5f0f\u5316\u540e\u7684\u9648\u8ff0\u53ef\u80fd\u4e0e\u539f\u59cb\u95ee\u9898\u5b8c\u5168\u4e0d\u4e00\u81f4\u3002\u4f8b\u5982\uff0c\u975e\u5f62\u5f0f\u5316\u7684\u95ee\u9898\u53ef\u80fd\u662f\u8fd9\u6837\u7684\uff0c\u4f46\u5f62\u5f0f\u5316\u540e\u7684\u95ee\u9898\u53ef\u80fd\u7f3a\u5931\u4e86\u4e00\u4e9b\u6761\u4ef6\uff0c\u6216\u8005\u6700\u7ec8\u53d8\u6210\u4e86\u4e00\u4e2a\u5b8c\u5168\u4e0d\u540c\u7684\u95ee\u9898\u3002\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u6211\u4eec\u65e0\u6cd5\u50cf\u5728\u5927\u5b66\u91cc\u90a3\u6837\u90e8\u7f72\u4eba\u529b\u53bb\u4eba\u5de5\u68c0\u67e5\u6240\u6709\u9648\u8ff0\uff0c\u56e0\u4e3a\u6211\u4eec\u6ca1\u6709\u8db3\u591f\u7684\u4eba\u529b\u8d44\u6e90\u3002<\/p>\n

\u56e0\u6b64\uff0c\u6211\u4eec\u4f1a\u4f7f\u7528\u201c\u56db\u91cd\u5b8c\u6574\u6027\u6d4b\u8bd5\u201d\uff0c\u672c\u8d28\u4e0a\u662f\u8981\u6c42\u56db\u4e2a\u5927\u578b\u8bed\u8a00\u6a21\u578b\u4f5c\u4e3a\u72ec\u7acb\u7684\u88c1\u5224\uff0c\u72ec\u7acb\u5224\u65ad\u8fd9\u4e9b\u95ee\u9898\u662f\u5426\u662f\u6b63\u786e\u7684\u7ffb\u8bd1\uff0c\u5e76\u57fa\u4e8e\u4e00\u7cfb\u5217\u6807\u51c6\u5bf9\u8bed\u8a00\u6a21\u578b\u8fdb\u884c\u63d0\u793a\u3002\u7136\u540e\uff0c\u6211\u4eec\u4f1a\u8981\u6c42\u5b83\u4eec\u8fdb\u884c\u591a\u6570\u6295\u7968\u3002\u7ecf\u8fc7\u8fd9\u4e9b\u6d41\u7a0b\u540e\uff0c\u6211\u4eec\u6700\u7ec8\u5f97\u5230\u4e86\u8d85\u8fc7\u4e00\u767e\u4e07\u6761\u80fd\u591f\u901a\u8fc7\u8fd9\u4e24\u9879\u6d4b\u8bd5\u7684\u5f62\u5f0f\u5316\u9648\u8ff0\uff0c\u5e76\u5c06\u8fd9\u4e9b\u9648\u8ff0\u7528\u4f5c\u6211\u4eec\u7684\u8bad\u7ec3\u6570\u636e\u96c6\u3002<\/p>\n

\u9700\u8981\u6ce8\u610f\u7684\u662f\uff0c\u8fd9\u4ec5\u4ec5\u662f\u5173\u4e8e\u95ee\u9898\u9648\u8ff0\uff0c\u800c\u4e0d\u6d89\u53ca\u8bc1\u660e\u3002\u90a3\u4e48\u5728\u6211\u4eec\u5f97\u5230\u4e86\u8fd9\u4e9b\u95ee\u9898\u4e4b\u540e\uff0c\u5982\u4f55\u83b7\u53d6\u66f4\u591a\u7684\u8bc1\u660e\u5462\uff1f\u6211\u4eec\u4f7f\u7528\u8fd9\u79cd\u8fed\u4ee3\u8bad\u7ec3\u7684\u65b9\u6cd5\u3002\u8fd9\u662f\u4e00\u4e2a\u83b7\u53d6\u66f4\u591a\u8bc1\u660e\u7684\u6d41\u7a0b\u3002<\/p>\n

\u6211\u4eec\u4f1a\u4ece\u67d0\u4e2a\u57fa\u7840\u6a21\u578b\u5f00\u59cb\u3002\u5f53\u6211\u4eec\u6709\u4e86\u57fa\u7840\u6a21\u578b\u540e\uff0c\u6bd4\u5982 Goedel-Prover \u7684\u7b2c\u4e00\u7248\uff0c\u5b83\u57fa\u4e8e DeepSeek Base 7B\u6a21\u578b\u3002\u6211\u4eec\u5c06\u5927\u91cf\u7684\u5f62\u5f0f\u5316\u9648\u8ff0\u8f93\u5165\u5176\u4e2d\uff0c\u7136\u540e\u8fdb\u884c\u63a8\u7406\uff0c\u8bc1\u660e\u5668\u80fd\u591f\u751f\u6210\u4e00\u4e9b\u8bc1\u660e\u3002\u5728\u751f\u6210\u4e86\u4e00\u4e9b\u8bc1\u660e\u4e4b\u540e\uff0c\u6211\u4eec\u5c06\u5b83\u4eec\u63d0\u4ea4\u7ed9 Lean \u7f16\u8bd1\u5668\uff0cLean \u4f1a\u9a8c\u8bc1\u8fd9\u4e9b\u8bc1\u660e\u3002\u6211\u4eec\u4f1a\u53d1\u73b0\u5176\u4e2d\u4e00\u4e9b\u8bc1\u660e\u662f\u6b63\u786e\u7684\uff0c\u7136\u540e\u5c06\u8fd9\u4e9b\u6b63\u786e\u7684\u8bc1\u660e\u52a0\u5165\u5230\u6211\u4eec\u7684\u6570\u636e\u96c6\u4e2d\uff0c\u7528\u4e8e\u4e0b\u4e00\u8f6e\u8bad\u7ec3\u3002<\/p>\n

\u901a\u8fc7\u8fd9\u79cd\u8fed\u4ee3\u8bad\u7ec3\u7684\u65b9\u5f0f\uff0c\u6211\u4eec\u53ef\u4ee5\u83b7\u5f97\u8d8a\u6765\u8d8a\u591a\u7684\u8bc1\u660e\uff0c\u5e76\u5c06\u8d8a\u6765\u8d8a\u591a\u7684\u5f62\u5f0f\u5316\u8bc1\u660e\u52a0\u5165\u5230\u6211\u4eec\u7684\u6570\u636e\u96c6\u4e2d\u3002\u6211\u4eec\u80fd\u591f\u57fa\u4e8e\u8d8a\u6765\u8d8a\u591a\u7684\u8bc1\u660e\u8fdb\u884c\u8bad\u7ec3\uff0c\u8fd9\u5c31\u662f\u6211\u4eec\u83b7\u53d6\u66f4\u591a\u5f62\u5f0f\u5316\u8bc1\u660e\u7684\u65b9\u6cd5\u3002<\/p>\n

\u8868\u683c\u5982\u4e0b\uff1a\u6211\u4eec\u5728\u8fdb\u884c\u8fed\u4ee3\u8bad\u7ec3\u65f6\uff0c\u4e0d\u4ec5\u5728\u4e0d\u65ad\u589e\u52a0\u66f4\u591a\u7684\u8bc1\u660e\uff0c\u8fd8\u5728\u8fed\u4ee3\u5730\u589e\u52a0\u66f4\u591a\u7684\u9648\u8ff0\u3002\u8fd9\u6837\uff0c\u5f53\u4e00\u4e2a\u6a21\u578b\u7684\u5bb9\u91cf\u66f4\u5927\u65f6\uff0c\u968f\u7740\u6211\u4eec\u589e\u52a0\u66f4\u591a\u9648\u8ff0\uff0c\u6a21\u578b\u7684\u8868\u73b0\u4e5f\u4f1a\u66f4\u597d\u3002<\/p>\n

\u6211\u4eec\u5728\u4e00\u5f00\u59cb\u5e76\u4e0d\u4f1a\u589e\u52a0\u592a\u591a\u9648\u8ff0\uff0c\u539f\u56e0\u6709\u4e24\u4e2a\uff1a\u4e00\u662f\u4e3a\u4e86\u8282\u7701\u8ba1\u7b97\u8d44\u6e90\uff1b\u4e8c\u662f\u4e3a\u4e86\u907f\u514d\u8ba9\u6a21\u578b\u8fc7\u4e8e\u56f0\u60d1\u3002\u56e0\u6b64\uff0c\u6211\u4eec\u4f1a\u9010\u6e10\u589e\u52a0\u8f93\u5165\u5230\u6570\u636e\u4e2d\u7684\u9648\u8ff0\u6570\u91cf\u3002\u6211\u4eec\u628a\u8fd9\u4e9b\u9648\u8ff0\u8f93\u5165\u5230\u6211\u4eec\u7684\u8bc1\u660e\u5668\u4e2d\u751f\u6210\u8bc1\u660e\uff0c\u5e76\u4e14\u53ef\u4ee5\u770b\u5230\u6211\u4eec\u7684\u6a21\u578b\u6301\u7eed\u5730\u3001\u7a33\u5b9a\u5730\u89e3\u51b3\u66f4\u591a\u95ee\u9898\uff0c\u5e76\u57fa\u4e8e Lean \u5de5\u4f5c\u624b\u518c\u4ee5\u53ca Lumina \u6570\u636e\u96c6\u751f\u6210\u66f4\u591a\u7684\u8bc1\u660e\u3002<\/p>\n

\u5728\u591a\u4e2a\u6570\u636e\u96c6\u4e0a\u8fdb\u884c\u8bad\u7ec3\uff0c\u751a\u81f3\u5728\u4e00\u4e9b\u7edf\u8ba1\u8bef\u5dee\u8303\u56f4\u5185\uff0c\u8fd9\u5df2\u7ecf\u88ab\u8bc1\u660e\u662f\u4e00\u79cd\u76f8\u5f53\u6709\u6548\u7684\u65b9\u6cd5\uff0c\u5b83\u6709\u70b9\u50cf\u5728\u591a\u6b21\u8fed\u4ee3\u4e2d\u5355\u8c03\u5730\u63d0\u5347\u6027\u80fd\u3002<\/p>\n

\u8fd9\u662f\u6211\u4eec\u6574\u4e2a\u6a21\u578b\u7684\u201c\u914d\u65b9\u201d\u3002\u8fd9\u662f\u6211\u4eec\u63a8\u52a8\u81ea\u52a8\u5f62\u5f0f\u5316\u5b9a\u7406\u8bc1\u660e\u6781\u9650\u7684\u7b2c\u4e00\u6b65\u3002\u5728\u6211\u4eec\u7684\u6a21\u578b\u7684\u7b2c\u4e00\u4e2a\u7248\u672c\u4e2d\uff0c\u6211\u4eec\u63d0\u5347\u4e86 CFR \u6027\u80fd\uff0c\u89e3\u51b3\u4e86\u591a\u4e2a F2F \u95ee\u9898\u3002\u6211\u4eec\u8fd8\u5728 Putnam \u57fa\u51c6\u6d4b\u8bd5\u4e2d\u53d6\u5f97\u4e86\u7b2c\u4e00\u540d\uff0c\u5e76\u4e14\u5728\u4e3b\u8981\u5de5\u4f5c\u624b\u518c\u4e2d\u89e3\u51b3\u4e86\u51e0\u4e4e\u4e24\u500d\u6570\u91cf\u7684\u95ee\u9898\u3002\uff08\u96f7\u5cf0\u7f51\u96f7\u5cf0\u7f51\u96f7\u5cf0\u7f51(\u516c\u4f17\u53f7\uff1a\u96f7\u5cf0\u7f51)<\/span>\uff09<\/span><\/p>\n

<\/p>\n

<\/p>\n

\u96f7\u5cf0\u7f51\u539f\u521b\u6587\u7ae0\uff0c\u672a\u7ecf\u6388\u6743\u7981\u6b62\u8f6c\u8f7d\u3002\u8be6\u60c5\u89c1\u8f6c\u8f7d\u987b\u77e5<\/a>\u3002<\/p>\n

\n
\n <\/a>
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