{"id":1143,"date":"2025-02-13T19:56:37","date_gmt":"2025-02-13T11:56:37","guid":{"rendered":"https:\/\/lingbo.online\/?p=1143"},"modified":"2025-11-06T09:03:56","modified_gmt":"2025-11-06T01:03:56","slug":"111","status":"publish","type":"post","link":"https:\/\/lingbo.online\/index.php\/learning_note\/111\/","title":{"rendered":"DeepSeek-R1: Incentivizing Reasoning Capability in LLMs via Reinforcement Learning"},"content":{"rendered":"<h3>MetaData<\/h3>\n<ul>\n<li>\u53d1\u8868\u65f6\u95f4 2024.01.22<\/li>\n<li>\u4f5c\u8005\uff1aDeepSeek AI<\/li>\n<li>\u8bba\u6587\u94fe\u63a5\uff1a<a href=\"https:\/\/arxiv.org\/abs\/2501.12948v1\" target=\"_blank\"  rel=\"nofollow\" >https:\/\/arxiv.org\/abs\/2501.12948v1<\/a><\/li>\n<li>\u9879\u76ee\u94fe\u63a5\uff1a\u6682\u65e0<\/li>\n<\/ul>\n<h3>\u6458\u8981<\/h3>\n<p>\u6211\u4eec\u4ecb\u7ecd\u4e86\u6211\u4eec\u7b2c\u4e00\u4ee3\u63a8\u7406\u6a21\u578b\uff1aDeepSeek-R1-Zero\u548cDeepSeek-R1\u3002DeepSeek-R1-Zero\u6a21\u578b\u901a\u8fc7\u5927\u89c4\u6a21\u5f3a\u5316\u5b66\u4e60\uff08RL\uff09\u8fdb\u884c\u8bad\u7ec3\uff0c\u65e0\u9700\u76d1\u7763\u5fae\u8c03\uff08SFT\uff09\u4f5c\u4e3a\u9884\u5907\u6b65\u9aa4\uff0c\u5c55\u73b0\u51fa\u663e\u8457\u7684\u63a8\u7406\u80fd\u529b\u3002\u901a\u8fc7\u5f3a\u5316\u5b66\u4e60\uff0cDeepSeek-R1-Zero\u81ea\u7136\u5730\u5c55\u73b0\u51fa\u8bb8\u591a\u5f3a\u5927\u800c\u6709\u8da3\u7684\u63a8\u7406\u884c\u4e3a\u3002\u7136\u800c\uff0c\u5b83\u4e5f\u9762\u4e34\u4e00\u4e9b\u6311\u6218\uff0c\u4f8b\u5982\u53ef\u8bfb\u6027\u5dee\u548c\u8bed\u8a00\u6df7\u5408\u3002<br 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\u8bc4\u4f30\u7ed3\u679c\u8868\u660e\uff0c\u84b8\u998f\u540e\u7684\u8f83\u5c0f\u578b\u5bc6\u96c6\u6a21\u578b\u5728\u57fa\u51c6\u6d4b\u8bd5\u4e2d\u8868\u73b0\u51fa\u8272\u3002DeepSeek-R1-Distill-Qwen-7B\u5728AIME 2024\u4e0a\u53d6\u5f97\u4e8655.5%\u7684\u6210\u7ee9\uff0c\u8d85\u8fc7\u4e86QwQ-32B-Preview\u3002\u6b64\u5916\uff0cDeepSeek-R1-Distill-Qwen-32B\u5728AIME 2024\u4e0a\u5f97\u520672.6%\uff0c\u5728MATH-500\u4e0a\u5f97\u520694.3%\uff0c\u5728LiveCodeBench\u4e0a\u5f97\u520657.2%\u3002\u8fd9\u4e9b\u7ed3\u679c\u663e\u8457\u4f18\u4e8e\u4e4b\u524d\u7684\u5f00\u6e90\u6a21\u578b\uff0c\u5e76\u4e14\u4e0eo1-mini\u76f8\u5f53\u3002\u6211\u4eec\u5411\u793e\u533a\u5f00\u6e90\u4e86\u57fa\u4e8eQwen2.5\u548cLlama3\u7cfb\u5217\u768415\u4ebf\u300170\u4ebf\u300180\u4ebf\u3001140\u4ebf\u3001320\u4ebf\u548c700\u4ebf\u53c2\u6570\u7684\u84b8\u998f\u68c0\u67e5\u70b9\u3002<\/li>\n<\/ul>\n<h4>1.2\u8bc4\u4f30\u7ed3\u679c\u6458\u8981<\/h4>\n<ul>\n<li>\u63a8\u7406\u4efb\u52a1\uff1a(1)DeepSeek-R1\u5728AIME 2024\u4e0a\u53d6\u5f97\u4e8679.8%\u7684Pass@1\u5f97\u5206\uff0c\u7565\u9ad8\u4e8eOpenAI-o1-1217\u3002\u5728MATH-500\u4e0a\uff0c\u5b83\u83b7\u5f97\u4e86\u4ee4\u4eba\u5370\u8c61\u6df1\u523b\u768497.3%\u7684\u5f97\u5206\uff0c\u4e0eOpenAI-o1-1217\u4e0d\u76f8\u4e0a\u4e0b\uff0c\u5e76\u4e14\u663e\u8457\u4f18\u4e8e\u5176\u4ed6\u6a21\u578b\u3002(2)\u5728\u4e0e\u7f16\u7801\u76f8\u5173\u7684\u4efb\u52a1\u4e2d\uff0cDeepSeek-R1\u5728\u4ee3\u7801\u7ade\u8d5b\u4efb\u52a1\u4e2d\u5c55\u73b0\u51fa\u4e13\u5bb6\u7ea7\u6c34\u5e73\uff0c\u56e0\u4e3a\u5b83\u5728Codeforces\u4e0a\u83b7\u5f97\u4e862029\u5206\u7684Elo\u7b49\u7ea7\uff0c\u8d85\u8fc7\u4e86\u7ade\u8d5b\u4e2d96.3%\u7684\u4eba\u7c7b\u53c2\u4e0e\u8005\u3002\u5bf9\u4e8e\u4e0e\u5de5\u7a0b\u76f8\u5173\u7684\u4efb\u52a1\uff0cDeepSeek-R1\u7684\u8868\u73b0\u7565\u4f18\u4e8eDeepSeek-V3\uff0c\u8fd9\u53ef\u4ee5\u5e2e\u52a9\u5f00\u53d1\u4eba\u5458\u5b8c\u6210\u73b0\u5b9e\u4e16\u754c\u4e2d\u7684\u4efb\u52a1\u3002<\/li>\n<li>\u77e5\u8bc6\uff1a\u5728MMLU\u3001MMLU-Pro\u548cGPQA Diamond\u7b49\u57fa\u51c6\u6d4b\u8bd5\u4e2d\uff0cDeepSeek-R1\u53d6\u5f97\u4e86\u4f18\u5f02\u7684\u6210\u7ee9\uff0c\u5176\u5f97\u5206\u663e\u8457\u4f18\u4e8eDeepSeek-V3\uff0c\u5728MMLU\u4e0a\u5f97\u520690.8%\uff0c\u5728MMLU-Pro\u4e0a\u5f97\u520684.0%\uff0c\u5728GPQA Diamond\u4e0a\u5f97\u520671.5%\u3002\u867d\u7136\u5176\u5728\u8fd9\u4e9b\u57fa\u51c6\u6d4b\u8bd5\u4e0a\u7684\u6027\u80fd\u7565\u4f4e\u4e8eOpenAI-o1-1217\uff0c\u4f46DeepSeek-R1\u8d85\u8fc7\u4e86\u5176\u4ed6\u95ed\u6e90\u6a21\u578b\uff0c\u5c55\u793a\u4e86\u5176\u5728\u6559\u80b2\u4efb\u52a1\u4e2d\u7684\u7ade\u4e89\u4f18\u52bf\u3002\u5728\u4e8b\u5b9e\u57fa\u51c6SimpleQA\u4e0a\uff0cDeepSeek-R1\u4f18\u4e8eDeepSeek-V3\uff0c\u8bc1\u660e\u4e86\u5176\u5904\u7406\u57fa\u4e8e\u4e8b\u5b9e\u67e5\u8be2\u7684\u80fd\u529b\u3002\u5728\u6b64\u57fa\u51c6\u6d4b\u8bd5\u4e2d\uff0cOpenAI-o1\u8d85\u8fc74o\u7684\u8d8b\u52bf\u4e5f\u7c7b\u4f3c\u3002<\/li>\n<li>\u5176\u4ed6\uff1aDeepSeek-R1\u8fd8\u5728\u5404\u79cd\u4efb\u52a1\u4e2d\u8868\u73b0\u51fa\u8272\uff0c\u5305\u62ec\u521b\u610f\u5199\u4f5c\u3001\u4e00\u822c\u6027\u95ee\u7b54\u3001\u7f16\u8f91\u3001\u6458\u8981\u7b49\u7b49\u3002\u5b83\u5728AlpacaEval 2.0\u4e0a\u53d6\u5f97\u4e86\u4ee4\u4eba\u5370\u8c61\u6df1\u523b\u768487.6%\u7684\u957f\u5ea6\u63a7\u5236\u80dc\u7387\uff0c\u5728ArenaHard\u4e0a\u53d6\u5f97\u4e8692.3%\u7684\u80dc\u7387\uff0c\u5c55\u793a\u4e86\u5176\u667a\u80fd\u5904\u7406\u975e\u8003\u8bd5\u5bfc\u5411\u67e5\u8be2\u7684\u5f3a\u5927\u80fd\u529b\u3002\u6b64\u5916\uff0cDeepSeek-R1\u5728\u9700\u8981\u957f\u6587\u672c\u7406\u89e3\u7684\u4efb\u52a1\u4e2d\u8868\u73b0\u51fa\u8272\uff0c\u5728\u957f\u6587\u672c\u57fa\u51c6\u6d4b\u8bd5\u4e2d\u5927\u5927\u4f18\u4e8eDeepSeek-V3\u3002<\/li>\n<\/ul>\n<h3>2 \u65b9\u6cd5<\/h3>\n<h4>2.1 \u6982\u8ff0<\/h4>\n<p>\u4ee5\u5f80\u7684\u5de5\u4f5c\u4e25\u91cd\u4f9d\u8d56\u5927\u91cf\u7684\u76d1\u7763\u6570\u636e\u6765\u63d0\u9ad8\u6a21\u578b\u6027\u80fd\u3002\u5728\u672c\u7814\u7a76\u4e2d\uff0c\u6211\u4eec\u8bc1\u660e\u4e86\u5373\u4f7f\u4e0d\u4f7f\u7528\u76d1\u7763\u5fae\u8c03\uff08SFT\uff09\u4f5c\u4e3a\u51b7\u542f\u52a8\uff0c\u4e5f\u53ef\u4ee5\u901a\u8fc7\u5927\u89c4\u6a21\u5f3a\u5316\u5b66\u4e60\uff08RL\uff09\u663e\u8457\u63d0\u9ad8\u63a8\u7406\u80fd\u529b\u3002\u6b64\u5916\uff0c\u901a\u8fc7\u52a0\u5165\u5c11\u91cf\u51b7\u542f\u52a8\u6570\u636e\uff0c\u53ef\u4ee5\u8fdb\u4e00\u6b65\u63d0\u9ad8\u6027\u80fd\u3002\u5728\u63a5\u4e0b\u6765\u7684\u7ae0\u8282\u4e2d\uff0c\u6211\u4eec\u5c06\u4ecb\u7ecd\uff1a<\/p>\n<ul>\n<li>DeepSeek-R1-Zero\uff1a\u5b83\u76f4\u63a5\u5c06RL\u5e94\u7528\u4e8e\u57fa\u7840\u6a21\u578b\uff0c\u65e0\u9700\u4efb\u4f55SFT\u6570\u636e\u3002<\/li>\n<li>DeepSeek-R1\uff1a\u5b83\u4ece\u4f7f\u7528\u6570\u5343\u4e2a\u957f\u94fe\u5f0f\u601d\u7ef4\uff08CoT\uff09\u793a\u4f8b\u5fae\u8c03\u7684\u68c0\u67e5\u70b9\u5f00\u59cb\u5e94\u7528 RL\u3002<\/li>\n<li>\u5c06DeepSeek-R1\u4e2d\u7684\u63a8\u7406\u80fd\u529b\u84b8\u998f\u5230\u5c0f\u578b\u7a20\u5bc6\u6a21\u578b\u4e2d\u3002<\/li>\n<\/ul>\n<h4>2.2 DeepSeek-R1-Zero\uff1a\u57fa\u4e8e\u57fa\u7840\u6a21\u578b\u7684\u5f3a\u5316\u5b66\u4e60<\/h4>\n<p>\u5f3a\u5316\u5b66\u4e60\u5728\u63a8\u7406\u4efb\u52a1\u4e2d\u5df2\u663e\u793a\u51fa\u663e\u8457\u7684\u6709\u6548\u6027\u3002\u7136\u800c\uff0c\u8fd9\u4e9b\u5de5\u4f5c\u4e25\u91cd\u4f9d\u8d56\u4e8e\u76d1\u7763\u6570\u636e\uff0c\u800c\u6536\u96c6\u76d1\u7763\u6570\u636e\u975e\u5e38\u8017\u65f6\u3002\u5728\u672c\u8282\u4e2d\uff0c\u6211\u4eec\u63a2\u8ba8\u4e86\u5927\u8bed\u8a00\u6a21\u578b\uff08LLM\uff09\u5728\u6ca1\u6709\u4efb\u4f55\u76d1\u7763\u6570\u636e\u7684\u60c5\u51b5\u4e0b\u53d1\u5c55\u63a8\u7406\u80fd\u529b\u7684\u6f5c\u529b\uff0c\u91cd\u70b9\u5173\u6ce8\u5b83\u4eec\u901a\u8fc7\u7eaf\u5f3a\u5316\u5b66\u4e60\u8fc7\u7a0b\u7684\u81ea\u6211\u8fdb\u5316\u3002\u6211\u4eec\u9996\u5148\u7b80\u8981\u6982\u8ff0\u6211\u4eec\u7684RL\u7b97\u6cd5\uff0c\u7136\u540e\u4ecb\u7ecd\u4e00\u4e9b\u4ee4\u4eba\u5174\u594b\u7684\u7ed3\u679c\uff0c\u5e76\u5e0c\u671b\u8fd9\u80fd\u4e3a\u793e\u533a\u63d0\u4f9b\u5b9d\u8d35\u7684\u89c1\u89e3\u3002<\/p>\n<h5>2.2.1 \u5f3a\u5316\u5b66\u4e60\u7b97\u6cd5<\/h5>\n<p><strong>\u5206\u7ec4\u76f8\u5bf9\u7b56\u7565\u4f18\u5316<\/strong><br \/>\n\u4e3a\u4e86\u8282\u7701RL\u7684\u8bad\u7ec3\u6210\u672c\uff0c\u6211\u4eec\u91c7\u7528\u5206\u7ec4\u76f8\u5bf9\u7b56\u7565\u4f18\u5316\uff08Group Relative Policy Optimization\uff0cGRPO\uff09\uff0c\u5b83\u653e\u5f03\u4e86\u901a\u5e38\u4e0e\u7b56\u7565\u6a21\u578b\u5927\u5c0f\u76f8\u540c\u7684\u8bc4\u5224\u6a21\u578b\uff0c\u800c\u662f\u4ece\u5206\u7ec4\u5206\u6570\u4e2d\u4f30\u8ba1\u57fa\u7ebf\u3002\u5177\u4f53\u6765\u8bf4\uff0c\u5bf9\u4e8e\u6bcf\u4e2a\u95ee\u9898<span class=\"katex-eq\" data-katex-display=\"false\">q<\/span>\uff0cGRPO\u4ece\u65e7\u7b56\u7565<span class=\"katex-eq\" data-katex-display=\"false\">\\pi_{\\theta}_{old}<\/span>\u4e2d\u91c7\u6837\u4e00\u7ec4\u8f93\u51fa<span class=\"katex-eq\" data-katex-display=\"false\">{o_1, o_2, \\cdots, o_G}<\/span>\uff0c\u7136\u540e\u901a\u8fc7\u6700\u5927\u5316\u4ee5\u4e0b\u76ee\u6807\u6765\u4f18\u5316\u7b56\u7565\u6a21\u578b<span class=\"katex-eq\" data-katex-display=\"false\">\\pi_{\\theta}<\/span>\uff1a<br \/>\n<img decoding=\"async\" src=\"https:\/\/youpaiyun.lingbo.online\/2025\/02\/20250218021713166.jpg\" alt=\"\" \/><\/p>\n<p>\u5176\u4e2d<span class=\"katex-eq\" data-katex-display=\"false\">\\epsilon<\/span>\u548c<span class=\"katex-eq\" data-katex-display=\"false\">\\beta<\/span>\u662f\u8d85\u53c2\u6570\uff0c<span class=\"katex-eq\" data-katex-display=\"false\">A_{i}}<\/span>\u662f\u4f18\u52bf\uff0c\u5b83\u4f7f\u7528\u5bf9\u5e94\u4e8e\u6bcf\u4e2a\u7ec4\u5185\u8f93\u51fa\u7684\u4e00\u7ec4\u5956\u52b1<span class=\"katex-eq\" data-katex-display=\"false\">{r_1, r_2, \\dots, r_G}<\/span> \u8ba1\u7b97\uff1a<br \/>\n<img decoding=\"async\" src=\"https:\/\/youpaiyun.lingbo.online\/2025\/02\/20250218023921905.jpg\" alt=\"\" \/><\/p>\n<h5>2.2.2 \u5956\u52b1\u5efa\u6a21<\/h5>\n<p>\u5956\u52b1\u662f\u8bad\u7ec3\u4fe1\u53f7\u7684\u6765\u6e90\uff0c\u5b83\u51b3\u5b9a\u4e86\u5f3a\u5316\u5b66\u4e60\u7684\u4f18\u5316\u65b9\u5411\u3002\u4e3a\u4e86\u8bad\u7ec3DeepSeek-R1-Zero\uff0c\u6211\u4eec\u91c7\u7528\u4e86\u4e00\u4e2a\u57fa\u4e8e\u89c4\u5219\u7684\u5956\u52b1\u7cfb\u7edf\uff0c\u8be5\u7cfb\u7edf\u4e3b\u8981\u5305\u542b\u4e24\u79cd\u7c7b\u578b\u7684\u5956\u52b1\uff1a<\/p>\n<ul>\n<li>\u51c6\u786e\u6027\u5956\u52b1\uff1a\u51c6\u786e\u6027\u5956\u52b1\u6a21\u578b\u8bc4\u4f30\u54cd\u5e94\u662f\u5426\u6b63\u786e\u3002\u4f8b\u5982\uff0c\u5bf9\u4e8e\u5177\u6709\u786e\u5b9a\u6027\u7ed3\u679c\u7684\u6570\u5b66\u95ee\u9898\uff0c\u6a21\u578b\u9700\u8981\u4ee5\u6307\u5b9a\u7684\u683c\u5f0f\uff08\u5982\u5728\u65b9\u6846\u5185\uff09\u63d0\u4f9b\u6700\u7ec8\u7b54\u6848\uff0c\u4ece\u800c\u80fd\u591f\u53ef\u9760\u5730\u57fa\u4e8e\u89c4\u5219\u9a8c\u8bc1\u5176\u6b63\u786e\u6027\u3002\u540c\u6837\uff0c\u5bf9\u4e8eLeetCode\u95ee\u9898\uff0c\u53ef\u4ee5\u4f7f\u7528\u7f16\u8bd1\u5668\u6839\u636e\u9884\u5b9a\u4e49\u7684\u6d4b\u8bd5\u7528\u4f8b\u751f\u6210\u53cd\u9988\u3002<\/li>\n<li>\u683c\u5f0f\u5956\u52b1\uff1a\u9664\u4e86\u51c6\u786e\u6027\u5956\u52b1\u6a21\u578b\u5916\uff0c\u6211\u4eec\u8fd8\u91c7\u7528\u4e86\u683c\u5f0f\u5956\u52b1\u6a21\u578b\uff0c\u8be5\u6a21\u578b\u5f3a\u5236\u6a21\u578b\u5c06\u5176\u601d\u8003\u8fc7\u7a0b\u653e\u5728\\&lt;think>\u548c\\&lt;\/think>\u6807\u7b7e\u4e4b\u95f4\u3002<\/li>\n<li>\u5728\u5f00\u53d1DeepSeek-R1-Zero\u65f6\uff0c\u6211\u4eec\u6ca1\u6709\u91c7\u7528\u7ed3\u679c\u6216\u8fc7\u7a0b\u795e\u7ecf\u5956\u52b1\u6a21\u578b\uff0c\u56e0\u4e3a\u6211\u4eec\u53d1\u73b0\u795e\u7ecf\u5956\u52b1\u6a21\u578b\u5728\u5927\u89c4\u6a21\u5f3a\u5316\u5b66\u4e60\u8fc7\u7a0b\u4e2d\u53ef\u80fd\u4f1a\u906d\u53d7\u5956\u52b1\u4f5c\u5f0a\u7684\u5f71\u54cd\uff0c\u800c\u91cd\u65b0\u8bad\u7ec3\u5956\u52b1\u6a21\u578b\u9700\u8981\u989d\u5916\u7684\u8bad\u7ec3\u8d44\u6e90\uff0c\u5e76\u4e14\u4f1a\u4f7f\u6574\u4e2a\u8bad\u7ec3\u6d41\u7a0b\u590d\u6742\u5316\u3002<\/li>\n<\/ul>\n<h5>2.2.3 \u8bad\u7ec3\u6a21\u677f<\/h5>\n<p>\u4e3a\u4e86\u8bad\u7ec3DeepSeek-R1-Zero\uff0c\u6211\u4eec\u9996\u5148\u8bbe\u8ba1\u4e86\u4e00\u4e2a\u7b80\u5355\u7684\u6a21\u677f\uff0c\u6307\u5bfc\u57fa\u7840\u6a21\u578b\u9075\u5b88\u6211\u4eec\u6307\u5b9a\u7684\u6307\u4ee4\u3002\u5982\u88681\u6240\u793a\uff0c\u6b64\u6a21\u677f\u8981\u6c42DeepSeek-R1-Zero\u9996\u5148\u751f\u6210\u63a8\u7406\u8fc7\u7a0b\uff0c\u7136\u540e\u7ed9\u51fa\u6700\u7ec8\u7b54\u6848\u3002\u6211\u4eec\u6545\u610f\u5c06\u7ea6\u675f\u9650\u5236\u5728\u8fd9\u4e2a\u7ed3\u6784\u5316\u683c\u5f0f\u4e0a\uff0c\u907f\u514d\u4efb\u4f55\u5185\u5bb9\u76f8\u5173\u7684\u504f\u5dee\u2014\u2014\u4f8b\u5982\u8981\u6c42\u53cd\u601d\u63a8\u7406\u6216\u63d0\u5347\u7279\u5b9a\u7684\u95ee\u9898\u89e3\u51b3\u7b56\u7565\u2014\u2014\u4ee5\u786e\u4fdd\u6211\u4eec\u80fd\u591f\u51c6\u786e\u5730\u89c2\u5bdf\u6a21\u578b\u5728\u5f3a\u5316\u5b66\u4e60\u8fc7\u7a0b\u4e2d\u7684\u81ea\u7136\u8fdb\u5c55\u3002<br \/>\n<img decoding=\"async\" src=\"https:\/\/youpaiyun.lingbo.online\/2025\/02\/20250218024857783.jpg\" alt=\"\" \/><br \/>\n\u88681\uff1a DeepSeek-R1-Zero \u6a21\u677f\u3002 prompt \u5c06\u5728\u8bad\u7ec3\u671f\u95f4\u66ff\u6362\u4e3a\u5177\u4f53\u7684\u63a8\u7406\u95ee\u9898\u3002<\/p>\n<h5>2.2.4 DeepSeek-R1-Zero\u7684\u6027\u80fd\u3001\u81ea\u6211\u8fdb\u5316\u8fc7\u7a0b\u548c\u987f\u609f\u65f6\u523b<\/h5>\n<p><strong>DeepSeek-R1-Zero\u7684\u6027\u80fd<\/strong><br \/>\n\u56fe2\u63cf\u8ff0\u4e86DeepSeek-R1-Zero\u5728\u6574\u4e2a\u5f3a\u5316\u5b66\u4e60\u8bad\u7ec3\u8fc7\u7a0b\u4e2d\u5728AIME 2024\u57fa\u51c6\u6d4b\u8bd5\u4e0a\u7684\u6027\u80fd\u8f68\u8ff9\u3002\u5982\u56fe\u6240\u793a\uff0c\u968f\u7740\u5f3a\u5316\u5b66\u4e60\u8bad\u7ec3\u7684\u63a8\u8fdb\uff0cDeepSeek-R1-Zero\u7684\u6027\u80fd\u5c55\u73b0\u51fa\u7a33\u5b9a\u4e14\u6301\u7eed\u7684\u63d0\u5347\u3002\u503c\u5f97\u6ce8\u610f\u7684\u662f\uff0cAIME 2024\u4e0a\u7684\u5e73\u5747pass@1\u5206\u6570\u663e\u7740\u63d0\u9ad8\uff0c\u4ece\u6700\u521d\u768415.6%\u8dc3\u5347\u81f3\u4ee4\u4eba\u5370\u8c61\u6df1\u523b\u768471.0%\uff0c\u8fbe\u5230\u4e86\u4e0eOpenAI-o1-0912\u76f8\u5f53\u7684\u6027\u80fd\u6c34\u5e73\u3002\u8fd9\u4e00\u663e\u8457\u6539\u8fdb\u7a81\u663e\u4e86\u6211\u4eec\u7684\u5f3a\u5316\u5b66\u4e60\u7b97\u6cd5\u5728\u4f18\u5316\u6a21\u578b\u6027\u80fd\u65b9\u9762\u7684\u6709\u6548\u6027\u3002<br \/>\n<img decoding=\"async\" src=\"https:\/\/youpaiyun.lingbo.online\/2025\/02\/20250218025601638.png\" alt=\"\" \/><br \/>\n\u56fe 2\uff1a DeepSeek-R1-Zero \u5728\u8bad\u7ec3\u671f\u95f4\u7684 AIME \u51c6\u786e\u7387\u3002 \u5bf9\u4e8e\u6bcf\u4e2a\u95ee\u9898\uff0c\u6211\u4eec\u91c7\u6837 16 \u4e2a\u7b54\u6848\u5e76\u8ba1\u7b97\u6574\u4f53\u5e73\u5747\u51c6\u786e\u7387\u4ee5\u786e\u4fdd\u8bc4\u4f30\u7684\u7a33\u5b9a\u6027\u3002<\/p>\n<p>\u88682\u5bf9DeepSeek-R1-Zero\u548cOpenAI\u7684o1-0912\u6a21\u578b\u5728\u5404\u79cd\u63a8\u7406\u76f8\u5173\u57fa\u51c6\u4e0a\u7684\u8fdb\u884c\u4e86\u6bd4\u8f83\u5206\u6790\u3002\u7814\u7a76\u7ed3\u679c\u8868\u660e\uff0c\u5f3a\u5316\u5b66\u4e60\u4f7fDeepSeek-R1-Zero\u80fd\u591f\u83b7\u5f97\u5f3a\u5927\u7684\u63a8\u7406\u80fd\u529b\uff0c\u800c\u65e0\u9700\u4efb\u4f55\u76d1\u7763\u5fae\u8c03\u6570\u636e\u3002\u8fd9\u662f\u4e00\u4e2a\u503c\u5f97\u6ce8\u610f\u7684\u6210\u5c31\uff0c\u56e0\u4e3a\u5b83\u5f3a\u8c03\u4e86\u6a21\u578b\u4ec5\u901a\u8fc7\u5f3a\u5316\u5b66\u4e60\u5c31\u80fd\u6709\u6548\u5b66\u4e60\u548c\u6cdb\u5316\u7684\u80fd\u529b\u3002\u6b64\u5916\uff0cDeepSeek-R1-Zero\u7684\u6027\u80fd\u53ef\u4ee5\u901a\u8fc7\u5e94\u7528\u591a\u6570\u6295\u7968\u8fdb\u4e00\u6b65\u589e\u5f3a\u3002\u4f8b\u5982\uff0c\u5f53\u5728AIME\u57fa\u51c6\u6d4b\u8bd5\u4e0a\u91c7\u7528\u591a\u6570\u6295\u7968\u65f6\uff0cDeepSeek-R1-Zero\u7684\u6027\u80fd\u4ece71.0%\u4e0a\u5347\u523086.7%\uff0c\u4ece\u800c\u8d85\u8fc7\u4e86OpenAI-o1-0912\u7684\u6027\u80fd\u3002DeepSeek-R1-Zero\u80fd\u591f\u5728\u4f7f\u7528\u548c\u4e0d\u4f7f\u7528\u591a\u6570\u6295\u7968\u7684\u60c5\u51b5\u4e0b\u90fd\u83b7\u5f97\u5982\u6b64\u5177\u6709\u7ade\u4e89\u529b\u7684\u6027\u80fd\uff0c\u8fd9\u7a81\u663e\u4e86\u5176\u5f3a\u5927\u7684\u57fa\u7840\u80fd\u529b\u53ca\u5176\u5728\u63a8\u7406\u4efb\u52a1\u4e2d\u8fdb\u4e00\u6b65\u53d1\u5c55\u7684\u6f5c\u529b\u3002<br \/>\n<img decoding=\"async\" src=\"https:\/\/youpaiyun.lingbo.online\/2025\/02\/20250218030302890.jpg\" alt=\"\" \/><\/p>\n<p><strong>DeepSeek-R1-Zero\u7684\u81ea\u8fdb\u5316\u8fc7\u7a0b<\/strong><br \/>\nDeepSeek-R1-Zero\u7684\u81ea\u8fdb\u5316\u8fc7\u7a0b\u662f\u5f3a\u5316\u5b66\u4e60\u5982\u4f55\u9a71\u52a8\u6a21\u578b\u81ea\u4e3b\u63d0\u5347\u5176\u63a8\u7406\u80fd\u529b\u7684\u4e00\u4e2a\u5f15\u4eba\u5165\u80dc\u7684\u6848\u4f8b\u3002\u901a\u8fc7\u76f4\u63a5\u4ece\u57fa\u7840\u6a21\u578b\u542f\u52a8\u5f3a\u5316\u5b66\u4e60\uff0c\u6211\u4eec\u53ef\u4ee5\u5bc6\u5207\u76d1\u63a7\u6a21\u578b\u7684\u8fdb\u5c55\uff0c\u800c\u4e0d\u4f1a\u53d7\u5230\u76d1\u7763\u5fae\u8c03\u9636\u6bb5\u7684\u5f71\u54cd\u3002\u8fd9\u79cd\u65b9\u6cd5\u6e05\u6670\u5730\u5c55\u73b0\u4e86\u6a21\u578b\u5982\u4f55\u968f\u7740\u65f6\u95f4\u7684\u63a8\u79fb\u800c\u8fdb\u5316\uff0c\u5c24\u5176\u662f\u5728\u5904\u7406\u590d\u6742\u63a8\u7406\u4efb\u52a1\u7684\u80fd\u529b\u65b9\u9762\u3002<\/p>\n<p>\u5982\u56fe3\u6240\u793a\uff0cDeepSeek-R1-Zero\u7684\u601d\u8003\u65f6\u95f4\u5728\u6574\u4e2a\u8bad\u7ec3\u8fc7\u7a0b\u4e2d\u6301\u7eed\u6539\u8fdb\u3002\u8fd9\u79cd\u6539\u8fdb\u5e76\u975e\u5916\u90e8\u8c03\u6574\u7684\u7ed3\u679c\uff0c\u800c\u662f\u6a21\u578b\u5185\u90e8\u53d1\u5c55\u7684\u4f53\u73b0\u3002DeepSeek-R1-Zero\u901a\u8fc7\u5229\u7528\u66f4\u957f\u7684\u6d4b\u8bd5\u65f6\u95f4\u8ba1\u7b97\uff0c\u81ea\u7136\u5730\u83b7\u5f97\u4e86\u89e3\u51b3\u8d8a\u6765\u8d8a\u590d\u6742\u7684\u63a8\u7406\u4efb\u52a1\u7684\u80fd\u529b\u3002\u8fd9\u79cd\u8ba1\u7b97\u65b9\u5f0f\u6d89\u53ca\u751f\u6210\u6570\u767e\u5230\u6570\u5343\u4e2a\u63a8\u7406token\uff0c\u4f7f\u6a21\u578b\u80fd\u591f\u66f4\u6df1\u5165\u5730\u63a2\u7d22\u548c\u4f18\u5316\u5176\u601d\u7ef4\u8fc7\u7a0b\u3002<br \/>\n<img decoding=\"async\" src=\"https:\/\/youpaiyun.lingbo.online\/2025\/02\/20250218030521433.png\" alt=\"\" \/><br \/>\n\u56fe 3\uff1a RL\u8fc7\u7a0b\u4e2dDeepSeek-R1-Zero\u5728\u8bad\u7ec3\u96c6\u4e0a\u7684\u5e73\u5747\u54cd\u5e94\u957f\u5ea6\u3002 DeepSeek-R1-Zero\u80fd\u591f\u81ea\u7136\u5730\u5b66\u4f1a\u5229\u7528\u66f4\u957f\u7684\u601d\u8003\u65f6\u95f4\u6765\u89e3\u51b3\u63a8\u7406\u4efb\u52a1\u3002<\/p>\n<p>\u6b64\u6b21\u81ea\u8fdb\u5316\u6700\u663e\u8457\u7684\u65b9\u9762\u4e4b\u4e00\u662f\uff0c\u968f\u7740\u6d4b\u8bd5\u65f6\u95f4\u8ba1\u7b97\u7684\u589e\u52a0\uff0c\u590d\u6742\u884c\u4e3a\u7684\u51fa\u73b0\u3002\u8bf8\u5982\uff1a\u53cd\u601d\u2014\u2014\u6a21\u578b\u91cd\u65b0\u5ba1\u89c6\u548c\u91cd\u65b0\u8bc4\u4f30\u5176\u4e4b\u524d\u7684\u6b65\u9aa4\uff1b\u4ee5\u53ca\u63a2\u7d22\u89e3\u51b3\u95ee\u9898\u7684\u66ff\u4ee3\u65b9\u6cd5\u7b49\u884c\u4e3a\u4f1a\u81ea\u53d1\u51fa\u73b0\u3002\u8fd9\u4e9b\u884c\u4e3a\u5e76\u975e\u663e\u5f0f\u7f16\u7a0b\uff0c\u800c\u662f\u6a21\u578b\u4e0e\u5f3a\u5316\u5b66\u4e60\u73af\u5883\u4ea4\u4e92\u7684\u7ed3\u679c\u3002\u8fd9\u79cd\u81ea\u53d1\u53d1\u5c55\u663e\u8457\u589e\u5f3a\u4e86DeepSeek-R1-Zero\u7684\u63a8\u7406\u80fd\u529b\uff0c\u4f7f\u5176\u80fd\u591f\u66f4\u9ad8\u6548\u3001\u66f4\u51c6\u786e\u5730\u5904\u7406\u66f4\u5177\u6311\u6218\u6027\u7684\u4efb\u52a1\u3002<\/p>\n<p><strong>DeepSeek-R1-Zero\u7684\u201c\u987f\u609f\uff08Aha Moment\uff09\u201d\u65f6\u523b<\/strong><br \/>\n\u5728DeepSeek-R1-Zero\u7684\u8bad\u7ec3\u8fc7\u7a0b\u4e2d\u89c2\u5bdf\u5230\u4e00\u4e2a\u7279\u522b\u6709\u8da3\u7684\u73b0\u8c61\uff0c\u5373\u201c\u987f\u609f\u201d\u65f6\u523b\u7684\u51fa\u73b0\u3002\u5982\u88683\u6240\u793a\uff0c\u8fd9\u4e00\u65f6\u523b\u51fa\u73b0\u5728\u6a21\u578b\u7684\u4e2d\u95f4\u7248\u672c\u4e2d\u3002\u5728\u6b64\u9636\u6bb5\uff0cDeepSeek-R1-Zero\u901a\u8fc7\u91cd\u65b0\u8bc4\u4f30\u5176\u521d\u59cb\u65b9\u6cd5\u6765\u5b66\u4e60\u5c06\u66f4\u591a\u601d\u8003\u65f6\u95f4\u5206\u914d\u7ed9\u95ee\u9898\u3002\u8fd9\u79cd\u884c\u4e3a\u4e0d\u4ec5\u8bc1\u660e\u4e86\u6a21\u578b\u63a8\u7406\u80fd\u529b\u7684\u589e\u5f3a\uff0c\u4e5f\u662f\u5f3a\u5316\u5b66\u4e60\u5982\u4f55\u5e26\u6765\u610f\u60f3\u4e0d\u5230\u548c\u590d\u6742\u7ed3\u679c\u7684\u4e00\u4e2a\u5f15\u4eba\u5165\u80dc\u7684\u4f8b\u5b50\u3002<br \/>\n<img decoding=\"async\" src=\"https:\/\/youpaiyun.lingbo.online\/2025\/02\/20250218031556360.jpg\" alt=\"\" \/><br \/>\n\u8fd9\u4e00\u65f6\u523b\u4e0d\u4ec5\u662f\u6a21\u578b\u7684\u201c\u987f\u609f\u65f6\u523b\u201d\uff0c\u4e5f\u662f\u89c2\u5bdf\u5176\u884c\u4e3a\u7684\u7814\u7a76\u4eba\u5458\u7684\u201c\u987f\u609f\u65f6\u523b\u201d\u3002 \u5b83\u5f3a\u8c03\u4e86\u5f3a\u5316\u5b66\u4e60\u7684\u5f3a\u5927\u548c\u7f8e\u4e3d\uff1a\u6211\u4eec\u4e0d\u662f\u663e\u5f0f\u5730\u6559\u6a21\u578b\u5982\u4f55\u89e3\u51b3\u95ee\u9898\uff0c\u800c\u662f\u7b80\u5355\u5730\u4e3a\u5176\u63d0\u4f9b\u6b63\u786e\u7684\u6fc0\u52b1\uff0c\u5b83\u4f1a\u81ea\u4e3b\u5f00\u53d1\u5148\u8fdb\u7684\u95ee\u9898\u89e3\u51b3\u7b56\u7565\u3002\u201c\u987f\u609f\u65f6\u523b\u201d\u6709\u529b\u5730\u63d0\u9192\u4e86\u5f3a\u5316\u5b66\u4e60\u5728\u91ca\u653e\u4eba\u5de5\u667a\u80fd\u7cfb\u7edf\u65b0\u667a\u80fd\u6c34\u5e73\u65b9\u9762\u7684\u6f5c\u529b\uff0c\u4e3a\u672a\u6765\u66f4\u81ea\u4e3b\u548c\u81ea\u9002\u5e94\u7684\u6a21\u578b\u94fa\u5e73\u4e86\u9053\u8def\u3002<\/p>\n<p><strong>DeepSeek-R1-Zero\u7684\u7f3a\u70b9<\/strong><br \/>\n\u5c3d\u7ba1DeepSeek-R1-Zero\u8868\u73b0\u51fa\u5f3a\u5927\u7684\u63a8\u7406\u80fd\u529b\uff0c\u5e76\u81ea\u4e3b\u53d1\u5c55\u51fa\u610f\u60f3\u4e0d\u5230\u4e14\u5f3a\u5927\u7684\u63a8\u7406\u884c\u4e3a\uff0c\u4f46\u5b83\u4e5f\u9762\u4e34\u4e00\u4e9b\u95ee\u9898\u3002\u4f8b\u5982\uff0cDeepSeek-R1-Zero\u96be\u4ee5\u5e94\u5bf9\u53ef\u8bfb\u6027\u5dee\u548c\u8bed\u8a00\u6df7\u5408\u7b49\u6311\u6218\u3002\u4e3a\u4e86\u4f7f\u63a8\u7406\u8fc7\u7a0b\u66f4\u5177\u53ef\u8bfb\u6027\u5e76\u4e0e\u5f00\u653e\u793e\u533a\u5171\u4eab\uff0c\u6211\u4eec\u63a2\u7d22\u4e86DeepSeek-R1\uff0c\u8fd9\u662f\u4e00\u79cd\u5229\u7528\u5177\u6709\u7528\u6237\u53cb\u597d\u578b\u51b7\u542f\u52a8\u6570\u636e\u7684\u5f3a\u5316\u5b66\u4e60\u7684\u65b9\u6cd5\u3002<\/p>\n<h4>2.3 DeepSeek-R1\uff1a\u5177\u6709\u51b7\u542f\u52a8\u7684\u5f3a\u5316\u5b66\u4e60<\/h4>\n<p>\u53d7DeepSeek-R1-Zero\u4ee4\u4eba\u9f13\u821e\u7684\u7ed3\u679c\u542f\u53d1\uff0c\u51fa\u73b0\u4e86\u4e24\u4e2a\u81ea\u7136\u95ee\u9898\uff1a1\uff09\u901a\u8fc7\u52a0\u5165\u5c11\u91cf\u9ad8\u8d28\u91cf\u6570\u636e\u4f5c\u4e3a\u51b7\u542f\u52a8\uff0c\u80fd\u5426\u8fdb\u4e00\u6b65\u63d0\u9ad8\u63a8\u7406\u6027\u80fd\u6216\u52a0\u5feb\u6536\u655b\u901f\u5ea6\uff1f2\uff09\u5982\u4f55\u8bad\u7ec3\u4e00\u4e2a\u7528\u6237\u53cb\u597d\u7684\u6a21\u578b\uff0c\u4f7f\u5176\u4e0d\u4ec5\u80fd\u591f\u751f\u6210\u6e05\u6670\u8fde\u8d2f\u7684\u601d\u7ef4\u94fe(CoT)\uff0c\u800c\u4e14\u5c55\u73b0\u5f3a\u5927\u7684\u901a\u7528\u80fd\u529b\uff1f\u4e3a\u4e86\u89e3\u51b3\u8fd9\u4e9b\u95ee\u9898\uff0c\u6211\u4eec\u8bbe\u8ba1\u4e86DeepSeek-R1\u7684\u8bad\u7ec3\u6d41\u7a0b\u3002\u8be5\u6d41\u7a0b\u5305\u542b\u56db\u4e2a\u9636\u6bb5\uff0c\u6982\u8ff0\u5982\u4e0b:<\/p>\n<h5>2.3.1 \u51b7\u542f\u52a8<\/h5>\n<p>\u4e0eDeepSeek-R1-Zero\u4e0d\u540c\uff0c\u4e3a\u4e86\u907f\u514d\u5f3a\u5316\u5b66\u4e60\u8bad\u7ec3\u4ece\u57fa\u7840\u6a21\u578b\u5f00\u59cb\u7684\u65e9\u671f\u4e0d\u7a33\u5b9a\u51b7\u542f\u52a8\u9636\u6bb5\uff0c\u5bf9\u4e8eDeepSeek-R1\uff0c\u6211\u4eec\u6784\u5efa\u5e76\u6536\u96c6\u5c11\u91cf\u957f\u7684CoT\u6570\u636e\u6765\u5fae\u8c03\u6a21\u578b\u4f5c\u4e3a\u521d\u59cbRL\u6267\u884c\u5668\u3002\u4e3a\u4e86\u6536\u96c6\u6b64\u7c7b\u6570\u636e\uff0c\u6211\u4eec\u63a2\u7d22\u4e86\u51e0\u79cd\u65b9\u6cd5\uff1a(1)\u4f7f\u7528\u5c11\u6837\u672c\u63d0\u793a\uff0c\u5176\u4e2d\u5305\u542b\u4e00\u4e2a\u957fCoT\u4f5c\u4e3a\u793a\u4f8b\uff1b(2)\u76f4\u63a5\u63d0\u793a\u6a21\u578b\u751f\u6210\u5305\u542b\u53cd\u601d\u548c\u9a8c\u8bc1\u7684\u8be6\u7ec6\u7b54\u6848\uff1b(3)\u4ee5\u53ef\u8bfb\u683c\u5f0f\u6574\u7406DeepSeek-R1-Zero\u7684\u8f93\u51fa\uff1b\uff084\uff09\u4ee5\u53ca\u901a\u8fc7\u4eba\u5de5\u6807\u6ce8\u8005\u7684\u540e\u671f\u5904\u7406\u6765\u7ec6\u5316\u7ed3\u679c\u3002<\/p>\n<p>\u5728\u8fd9\u9879\u5de5\u4f5c\u4e2d\uff0c\u6211\u4eec\u6536\u96c6\u4e86\u6570\u5343\u6761\u51b7\u542f\u52a8\u6570\u636e\uff0c\u4ee5\u5fae\u8c03DeepSeek-V3-Base\u4f5c\u4e3aRL\u7684\u8d77\u70b9\u3002\u4e0eDeepSeek-R1-Zero\u76f8\u6bd4\uff0c\u51b7\u542f\u52a8\u6570\u636e\u7684\u4f18\u52bf\u5305\u62ec\uff1a<\/p>\n<ul>\n<li>\u53ef\u8bfb\u6027\uff08Readability\uff09\uff1aDeepSeek-R1-Zero\u7684\u4e00\u4e2a\u5173\u952e\u9650\u5236\u662f\u5176\u5185\u5bb9\u901a\u5e38\u4e0d\u9002\u5408\u9605\u8bfb\u3002\u54cd\u5e94\u53ef\u80fd\u4f1a\u6df7\u5408\u591a\u79cd\u8bed\u8a00\uff0c\u6216\u8005\u7f3a\u4e4fmarkdown\u683c\u5f0f\u6765\u7a81\u51fa\u663e\u793a\u7528\u6237\u7684\u7b54\u6848\u3002\u76f8\u53cd\uff0c\u5728\u4e3aDeepSeek-R1\u521b\u5efa\u51b7\u542f\u52a8\u6570\u636e\u65f6\uff0c\u6211\u4eec\u8bbe\u8ba1\u4e86\u4e00\u79cd\u53ef\u8bfb\u7684\u6a21\u5f0f\uff0c\u5b83\u5728\u6bcf\u4e2a\u54cd\u5e94\u672b\u5c3e\u5305\u542b\u4e00\u4e2a\u6458\u8981\uff0c\u5e76\u4e14\u8fc7\u6ee4\u6389\u4e0d\u9002\u5408\u9605\u8bfb\u7684\u54cd\u5e94\u3002\u8fd9\u91cc\uff0c\u6211\u4eec\u5c06\u8f93\u51fa\u683c\u5f0f\u5b9a\u4e49\u4e3a|special_token|\\&lt;reasoning_process>|special_token|\\&lt;summary>\uff0c\u5176\u4e2dreasoning_process\u662f\u67e5\u8be2\u7684CoT\uff0csummary\u7528\u4e8e\u603b\u7ed3\u63a8\u7406\u7ed3\u679c\u3002<\/li>\n<li>\u6f5c\u529b\uff08Potential\uff09\uff1a\u901a\u8fc7\u5229\u7528\u4eba\u7c7b\u5148\u9a8c\u77e5\u8bc6\u7cbe\u5fc3\u8bbe\u8ba1\u51b7\u542f\u52a8\u6570\u636e\u7684\u6a21\u5f0f\uff0c\u6211\u4eec\u89c2\u5bdf\u5230\u6bd4DeepSeek-R1-Zero\u66f4\u597d\u7684\u6027\u80fd\u3002\u6211\u4eec\u8ba4\u4e3a\u8fed\u4ee3\u8bad\u7ec3\u662f\u63a8\u7406\u6a21\u578b\u7684\u66f4\u597d\u65b9\u6cd5\u3002<\/li>\n<\/ul>\n<h5>2.3.2 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\/>\n\u6211\u4eec\u6574\u7406\u63a8\u7406\u63d0\u793a\uff0c\u5e76\u901a\u8fc7\u5bf9\u4e0a\u8ff0\u5f3a\u5316\u5b66\u4e60\u68c0\u67e5\u70b9\u8fdb\u884c\u62d2\u7edd\u91c7\u6837\u6765\u751f\u6210\u63a8\u7406\u8f68\u8ff9\u3002\u5728\u4e0a\u4e00\u9636\u6bb5\uff0c\u6211\u4eec\u53ea\u5305\u542b\u53ef\u4ee5\u4f7f\u7528\u57fa\u4e8e\u89c4\u5219\u7684\u5956\u52b1\u8fdb\u884c\u8bc4\u4f30\u7684\u6570\u636e\u3002\u7136\u800c\uff0c\u5728\u672c\u9636\u6bb5\uff0c\u6211\u4eec\u6269\u5c55\u4e86\u6570\u636e\u96c6\uff0c\u5f15\u5165\u4e86\u989d\u5916\u7684\u6570\u636e\uff0c\u5176\u4e2d\u90e8\u5206\u6570\u636e\u4f7f\u7528\u751f\u6210\u5f0f\u5956\u52b1\u6a21\u578b\uff0c\u901a\u8fc7\u5c06\u771f\u5b9e\u7b54\u6848\u548c\u6a21\u578b\u9884\u6d4b\u7ed3\u679c\u8f93\u5165DeepSeek-V3\u8fdb\u884c\u5224\u5b9a\u3002\u6b64\u5916\uff0c\u7531\u4e8e\u6a21\u578b\u8f93\u51fa\u6709\u65f6\u6df7\u4e71\u4e14\u96be\u4ee5\u9605\u8bfb\uff0c\u6211\u4eec\u8fc7\u6ee4\u6389\u4e86\u5305\u542b\u6df7\u5408\u8bed\u8a00\u3001\u957f\u6bb5\u843d\u548c\u4ee3\u7801\u5757\u7684\u601d\u7ef4\u94fe\u3002\u5bf9\u4e8e\u6bcf\u4e2a\u63d0\u793a\uff0c\u6211\u4eec\u5bf9\u591a\u4e2a\u54cd\u5e94\u8fdb\u884c\u91c7\u6837\uff0c\u5e76\u4ec5\u4fdd\u7559\u6b63\u786e\u7684\u54cd\u5e94\u3002\u603b\u5171\uff0c\u6211\u4eec\u6536\u96c6\u4e86\u5927\u7ea660\u4e07\u4e2a\u4e0e\u63a8\u7406\u76f8\u5173\u7684\u8bad\u7ec3\u6837\u672c\u3002<\/p>\n<p><strong>\u975e\u63a8\u7406\u6570\u636e<\/strong><br \/>\n\u5bf9\u4e8e\u975e\u63a8\u7406\u6570\u636e\uff0c\u4f8b\u5982\u5199\u4f5c\u3001\u4e8b\u5b9e\u6027\u95ee\u7b54\u3001\u81ea\u6211\u8ba4\u77e5\u548c\u7ffb\u8bd1\uff0c\u6211\u4eec\u91c7\u7528DeepSeek-V3 Pipline\u5e76\u590d\u7528DeepSeek-V3\u7684SFT\u6570\u636e\u96c6\u7684\u90e8\u5206\u5185\u5bb9\u3002\u5bf9\u4e8e\u67d0\u4e9b\u975e\u63a8\u7406\u4efb\u52a1\uff0c\u6211\u4eec\u5728\u56de\u7b54\u95ee\u9898\u4e4b\u524d\uff0c\u901a\u8fc7\u63d0\u793a\u8c03\u7528DeepSeek-V3\u751f\u6210\u6f5c\u5728\u7684\u601d\u7ef4\u94fe\uff08CoT\uff09\u3002\u4f46\u662f\uff0c\u5bf9\u4e8e\u66f4\u7b80\u5355\u7684\u67e5\u8be2\uff0c\u4f8b\u5982\u201c\u4f60\u597d\u201d\uff0c\u6211\u4eec\u4e0d\u4f1a\u63d0\u4f9b\u601d\u7ef4\u94fe\u4f5c\u4e3a\u56de\u5e94\u3002\u6700\u540e\uff0c\u6211\u4eec\u603b\u5171\u6536\u96c6\u4e86\u5927\u7ea620\u4e07\u4e2a\u4e0e\u63a8\u7406\u65e0\u5173\u7684\u8bad\u7ec3\u6837\u672c\u3002<\/p>\n<p>\u6211\u4eec\u4f7f\u7528\u4e0a\u8ff0\u7ea680\u4e07\u4e2a\u6837\u672c\u7684\u7cbe\u9009\u6570\u636e\u96c6\uff0c\u5bf9DeepSeek-V3-Base\u8fdb\u884c\u4e24\u4e2aepoch\u7684\u5fae\u8c03\u3002<\/p>\n<h5>2.3.4 \u6240\u6709\u573a\u666f\u7684\u5f3a\u5316\u5b66\u4e60<\/h5>\n<p>\u4e3a\u4e86\u8fdb\u4e00\u6b65\u4f7f\u6a21\u578b\u7b26\u5408\u4eba\u7c7b\u504f\u597d\uff0c\u6211\u4eec\u5b9e\u65bd\u4e86\u4e00\u4e2a\u4e8c\u6b21\u5f3a\u5316\u5b66\u4e60\u9636\u6bb5\uff0c\u65e8\u5728\u63d0\u5347\u6a21\u578b\u7684\u6709\u7528\u6027\u548c(helpfulness)\u65e0\u5bb3\u6027(harmlessness)\uff0c\u540c\u65f6\u4f18\u5316\u5176\u63a8\u7406\u80fd\u529b\u3002\u5177\u4f53\u6765\u8bf4\uff0c\u6211\u4eec\u4f7f\u7528\u5956\u52b1\u4fe1\u53f7\u548c\u591a\u6837\u5316\u7684\u63d0\u793a\u5206\u5e03\u7ec4\u5408\u6765\u8bad\u7ec3\u6a21\u578b\u3002<br \/>\n\u5bf9\u4e8e\u63a8\u7406\u6570\u636e\uff0c\u6211\u4eec\u9075\u5faaDeepSeek-R1-Zero\u4e2d\u6982\u8ff0\u7684\u65b9\u6cd5\uff0c\u8be5\u65b9\u6cd5\u5229\u7528\u57fa\u4e8e\u89c4\u5219\u7684\u5956\u52b1\u6765\u6307\u5bfc\u6570\u5b66\u3001\u4ee3\u7801\u548c\u903b\u8f91\u63a8\u7406\u9886\u57df\u7684\u5b66\u4e60\u8fc7\u7a0b\u3002\u5bf9\u4e8e\u4e00\u822c\u6570\u636e\uff0c\u6211\u4eec\u91c7\u7528\u5956\u52b1\u6a21\u578b\u6765\u6355\u6349\u590d\u6742\u548c\u7ec6\u5fae\u573a\u666f\u4e2d\u7684\u4eba\u7c7b\u504f\u597d\u3002\u6211\u4eec\u57fa\u4e8eDeepSeek-V3\u7ba1\u9053\u5e76\u91c7\u7528\u7c7b\u4f3c\u7684\u504f\u597d\u5bf9\u548c\u8bad\u7ec3\u63d0\u793a\u5206\u5e03\u3002<br \/>\n\u5bf9\u4e8e\u6709\u7528\u6027\uff0c\u6211\u4eec\u53ea\u5173\u6ce8\u6700\u7ec8\u6458\u8981\uff0c\u786e\u4fdd\u8bc4\u4f30\u5f3a\u8c03\u54cd\u5e94\u5bf9\u7528\u6237\u7684\u5b9e\u7528\u6027\u548c\u76f8\u5173\u6027\uff0c\u540c\u65f6\u6700\u5927\u9650\u5ea6\u5730\u51cf\u5c11\u5bf9\u5e95\u5c42\u63a8\u7406\u8fc7\u7a0b\u7684\u5e72\u6270\u3002\u5bf9\u4e8e\u65e0\u5bb3\u6027\uff0c\u6211\u4eec\u8bc4\u4f30\u6a21\u578b\u7684\u6574\u4e2a\u54cd\u5e94\uff0c\u5305\u62ec\u63a8\u7406\u8fc7\u7a0b\u548c\u6458\u8981\uff0c\u4ee5\u8bc6\u522b\u548c\u51cf\u8f7b\u751f\u6210\u8fc7\u7a0b\u4e2d\u53ef\u80fd\u51fa\u73b0\u7684\u4efb\u4f55\u6f5c\u5728\u98ce\u9669\u3001\u504f\u5dee\u6216\u6709\u5bb3\u5185\u5bb9\u3002\u6700\u7ec8\uff0c\u5956\u52b1\u4fe1\u53f7\u548c\u591a\u6837\u5316\u6570\u636e\u5206\u5e03\u7684\u6574\u5408\u4f7f\u6211\u4eec\u80fd\u591f\u8bad\u7ec3\u4e00\u4e2a\u5728\u63a8\u7406\u65b9\u9762\u8868\u73b0\u51fa\u8272\uff0c\u540c\u65f6\u4f18\u5148\u8003\u8651\u6709\u7528\u6027\u548c\u65e0\u5bb3\u6027\u7684\u6a21\u578b\u3002<\/p>\n<h4>2.4 \u84b8\u998f\uff1a\u8d4b\u4e88\u5c0f\u578b\u6a21\u578b\u63a8\u7406\u80fd\u529b<\/h4>\n<p>\u4e3a\u4e86\u4f7f\u66f4\u9ad8\u6548\u7684\u5c0f\u578b\u6a21\u578b\u5177\u5907\u50cfDeepSeek-R1\u8fd9\u6837\u7684\u63a8\u7406\u80fd\u529b\uff0c\u6211\u4eec\u4f7f\u7528DeepSeek-R1\u6574\u7406\u7684800k\u4e2a\u6837\u672c\u5bf9\u5f00\u6e90\u6a21\u578b\u8fdb\u884c\u4e86\u76f4\u63a5\u5fae\u8c03\uff0c\u4f8b\u5982Qwen\u548cLlama\uff0c\u8be6\u60c5\u89c1\u4e0b\u6587\u3002\u6211\u4eec\u7684\u7814\u7a76\u7ed3\u679c\u8868\u660e\uff0c\u8fd9\u79cd\u76f4\u63a5\u7684\u84b8\u998f\u65b9\u6cd5\u663e\u8457\u589e\u5f3a\u4e86\u5c0f\u578b\u6a21\u578b\u7684\u63a8\u7406\u80fd\u529b\u3002\u6211\u4eec\u5728\u6b64\u4f7f\u7528\u7684\u57fa\u7840\u6a21\u578b\u5305\u62ecQwen2.5-Math-1.5B\u3001Qwen2.5-Math-7B\u3001Qwen2.5-14B\u3001Qwen2.5-32B\u3001Llama-3.1-8B\u548cLlama-3.3-70B-Instruct\u3002\u6211\u4eec\u9009\u62e9Llama-3.3\u662f\u56e0\u4e3a\u5176\u63a8\u7406\u80fd\u529b\u7565\u4f18\u4e8eLlama-3.1\u3002<\/p>\n<p>\u5bf9\u4e8e\u84b8\u998f\u540e\u7684\u6a21\u578b\uff0c\u6211\u4eec\u53ea\u5e94\u7528\u76d1\u7763\u5fae\u8c03\uff08SFT\uff09\uff0c\u4e0d\u5305\u62ec\u5f3a\u5316\u5b66\u4e60\uff08RL\uff09\u9636\u6bb5\uff0c\u5373\u4f7f\u52a0\u5165RL\u53ef\u4ee5\u5927\u5e45\u63d0\u5347\u6a21\u578b\u6027\u80fd\u3002\u6211\u4eec\u8fd9\u91cc\u7684\u4e3b\u8981\u76ee\u6807\u662f\u8bc1\u660e\u84b8\u998f\u6280\u672f\u7684\u6709\u6548\u6027\uff0c\u5c06RL\u9636\u6bb5\u7684\u63a2\u7d22\u7559\u7ed9\u66f4\u5e7f\u6cdb\u7684\u7814\u7a76\u7fa4\u4f53\u3002<\/p>\n<h3>3 \u5b9e\u9a8c<\/h3>\n<p><strong>\u57fa\u51c6\u6d4b\u8bd5<\/strong><br \/>\n\u6211\u4eec\u5728\u4ee5\u4e0b\u57fa\u51c6\u6d4b\u8bd5\u4e2d\u8bc4\u4f30\u6a21\u578b\u7684\u6027\u80fd\uff1a<\/p>\n<ul>\n<li>MMLU<\/li>\n<li>MMLU-Redux<\/li>\n<li>MMLU-Pro<\/li>\n<li>C-Eval<\/li>\n<li>CMMLU<\/li>\n<li>IFEval<\/li>\n<li>FRAMES<\/li>\n<li>GPQA Diamond<\/li>\n<li>SimpleQA<\/li>\n<li>C-SimpleQA<\/li>\n<li>SWE-Bench Verified<\/li>\n<li>AIDER 1<\/li>\n<li>LiveCodeBench (2024-08 \u2013 2025-01)<\/li>\n<li>Codeforces 2<\/li>\n<li>\u4e2d\u56fd\u5168\u56fd\u9ad8\u4e2d\u6570\u5b66\u5965\u6797\u5339\u514b\u7ade\u8d5b\uff08CNMO 2024\uff09<\/li>\n<li>\u7f8e\u56fd\u9080\u8bf7\u8d5b\u6570\u5b66\u8003\u8bd5 2024 (AIME 2024)<br \/>\n\u9664\u4e86\u6807\u51c6\u57fa\u51c6\u6d4b\u8bd5\u5916\uff0c\u6211\u4eec\u8fd8\u4f7f\u7528\u5927\u578b\u8bed\u8a00\u6a21\u578b\u4f5c\u4e3a\u8bc4\u5224\u8005\u6765\u8bc4\u4f30\u6a21\u578b\u5728\u5f00\u653e\u5f0f\u751f\u6210\u4efb\u52a1\u4e0a\u7684\u8868\u73b0\u3002\u5177\u4f53\u6765\u8bf4\uff0c\u6211\u4eec\u9075\u5faaAlpacaEval 2.0\u548cArena-Hard\u7684\u539f\u59cb\u914d\u7f6e\uff0c\u5b83\u4eec\u5229\u7528GPT-4-Turbo-1106\u4f5c\u4e3a\u8bc4\u5224\u8005\u8fdb\u884c\u6210\u5bf9\u6bd4\u8f83\u3002\u5728\u8fd9\u91cc\uff0c\u6211\u4eec\u53ea\u63d0\u4f9b\u6700\u7ec8\u6458\u8981\u8fdb\u884c\u8bc4\u4f30\uff0c\u4ee5\u907f\u514d\u957f\u5ea6\u504f\u5dee\u3002\u5bf9\u4e8e\u84b8\u998f\u540e\u7684\u6a21\u578b\uff0c\u6211\u4eec\u5728 AIME 2024\u3001MATH-500\u3001GPQA Diamond\u3001Codeforces \u548c LiveCodeBench \u4e0a\u62a5\u544a\u4e86\u5177\u6709\u4ee3\u8868\u6027\u7684\u7ed3\u679c\u3002<\/li>\n<\/ul>\n<p><strong>\u8bc4\u4f30\u63d0\u793a<\/strong><br \/>\n\u9075\u5faaDeepSeek-V3\u4e2d\u7684\u8bbe\u7f6e\uff0c\u4f7f\u7528simple-evals\u6846\u67b6\u4e2d\u7684\u63d0\u793a\u8bc4\u4f30MMLU\u3001DROP\u3001GPQA Diamond\u548cSimpleQA\u7b49\u6807\u51c6\u57fa\u51c6\u6d4b\u8bd5\u3002\u5bf9\u4e8eMMLU-Redux\uff0c\u6211\u4eec\u5728\u96f6\u6837\u672c\u8bbe\u7f6e\u4e2d\u91c7\u7528Zero-Eval\u63d0\u793a\u683c\u5f0f\u3002\u5bf9\u4e8eMMLU-Pro\u3001C-Eval \u548c CLUE-WSC\uff0c\u7531\u4e8e\u539f\u59cb\u63d0\u793a\u662f\u5c11\u6837\u672c\u7684\uff0c\u6211\u4eec\u5c06\u5176\u7a0d\u4f5c\u4fee\u6539\u4e3a\u96f6\u6837\u672c\u8bbe\u7f6e\u3002\u5c11\u6837\u672c\u4e2d\u7684\u601d\u7ef4\u94fe\uff08CoT\uff09\u53ef\u80fd\u4f1a\u635f\u5bb3DeepSeek-R1\u7684\u6027\u80fd\u3002\u5176\u4ed6\u6570\u636e\u96c6\u9075\u5faa\u5176\u539f\u59cb\u8bc4\u4f30\u534f\u8bae\uff0c\u4f7f\u7528\u521b\u5efa\u8005\u63d0\u4f9b\u7684\u9ed8\u8ba4\u63d0\u793a\u3002\u5bf9\u4e8e\u4ee3\u7801\u548c\u6570\u5b66\u57fa\u51c6\u6d4b\u8bd5\uff1a<\/p>\n<ul>\n<li>HumanEval-Mul \u6570\u636e\u96c6\u6db5\u76d6\u516b\u79cd\u4e3b\u6d41\u7f16\u7a0b\u8bed\u8a00\uff08Python\u3001Java\u3001C++\u3001C#\u3001JavaScript\u3001TypeScript\u3001PHP \u548c Bash\uff09\u3002<\/li>\n<li>LiveCodeBench \u4e0a\u7684\u6a21\u578b\u6027\u80fd\u4f7f\u7528\u601d\u7ef4\u94fe\uff08CoT\uff09\u683c\u5f0f\u8fdb\u884c\u8bc4\u4f30\uff0c\u6570\u636e\u6536\u96c6\u65f6\u95f4\u4e3a2024\u5e748\u6708\u81f32025\u5e741\u6708\u3002<\/li>\n<li>Codeforces\u6570\u636e\u96c6\u4f7f\u7528\u6765\u81ea10\u573aDiv.2\u7ade\u8d5b\u7684\u95ee\u9898\u4ee5\u53ca\u4e13\u5bb6\u8bbe\u8ba1\u7684\u6d4b\u8bd5\u7528\u4f8b\u8fdb\u884c\u8bc4\u4f30\uff0c\u4e4b\u540e\u8ba1\u7b97\u9884\u671f\u7684\u8bc4\u5206\u548c\u7ade\u4e89\u5bf9\u624b\u7684\u767e\u5206\u6bd4\u3002<\/li>\n<li>SWE-Bench\u9a8c\u8bc1\u7ed3\u679c\u901a\u8fc7\u65e0\u4ee3\u7406\u6846\u67b6\u83b7\u5f97\u3002<\/li>\n<li>AIDER\u76f8\u5173\u7684\u57fa\u51c6\u6d4b\u8bd5\u4f7f\u7528\u201cdiff\u201d\u683c\u5f0f\u8fdb\u884c\u6d4b\u91cf\u3002<br \/>\nDeepSeek-R1 \u7684\u8f93\u51fa\u6bcf\u4e2a\u57fa\u51c6\u6d4b\u8bd5\u6700\u591a\u9650\u5236\u4e3a 32,768 \u4e2a token\u3002<\/li>\n<\/ul>\n<p><strong>\u57fa\u7ebf<\/strong><br \/>\n\u6211\u4eec\u9488\u5bf9\u591a\u4e2a\u5f3a\u5927\u7684\u57fa\u7ebf\u8fdb\u884c\u4e86\u5168\u9762\u7684\u8bc4\u4f30\uff0c\u5305\u62ec DeepSeek-V3\u3001Claude-Sonnet-3.5-1022\u3001GPT-4o-0513\u3001OpenAI-o1-mini \u548c OpenAI-o1-1217\u3002\u7531\u4e8e\u5728\u4e2d\u56fd\u5927\u9646\u8bbf\u95eeOpenAI-o1-1217 API\u5177\u6709\u6311\u6218\u6027\uff0c\u6211\u4eec\u6839\u636e\u5b98\u65b9\u62a5\u544a\u62a5\u544a\u5176\u6027\u80fd\u3002\u5bf9\u4e8e\u84b8\u998f\u6a21\u578b\uff0c\u6211\u4eec\u8fd8\u6bd4\u8f83\u4e86\u5f00\u6e90\u6a21\u578b QwQ-32B-Preview\u3002<\/p>\n<p><strong>\u8bc4\u4f30\u8bbe\u7f6e<\/strong><br \/>\n\u6211\u4eec\u5c06\u6a21\u578b\u7684\u6700\u5927\u751f\u6210\u957f\u5ea6\u8bbe\u7f6e\u4e3a32,768\u4e2atoken\u3002\u6211\u4eec\u53d1\u73b0\uff0c\u4f7f\u7528\u8d2a\u5a6a\u89e3\u7801\u6765\u8bc4\u4f30\u957f\u8f93\u51fa\u63a8\u7406\u6a21\u578b\u4f1a\u5bfc\u81f4\u66f4\u9ad8\u7684\u91cd\u590d\u7387\u4ee5\u53ca\u4e0d\u540c\u68c0\u67e5\u70b9\u4e4b\u95f4\u5b58\u5728\u663e\u8457\u5dee\u5f02\u3002\u56e0\u6b64\uff0c\u6211\u4eec\u9ed8\u8ba4\u4f7f\u7528pass@<span class=\"katex-eq\" data-katex-display=\"false\">k<\/span>\u8bc4\u4f30\u5e76\u4f7f\u7528\u975e\u96f6\u6e29\u5ea6\u4e0b\u62a5\u544apass@1\u7ed3\u679c\u3002\u5177\u4f53\u6765\u8bf4\uff0c\u6211\u4eec\u4f7f\u7528<span class=\"katex-eq\" data-katex-display=\"false\">0.6<\/span>\u7684\u91c7\u6837\u6e29\u5ea6\u548c<span class=\"katex-eq\" data-katex-display=\"false\">0.95<\/span>\u7684 top-<span class=\"katex-eq\" data-katex-display=\"false\">p<\/span>\u503c\u6765\u751f\u6210<span class=\"katex-eq\" data-katex-display=\"false\">k<\/span>\u54cd\u5e94\uff08\u901a\u5e38\u5728<span class=\"katex-eq\" data-katex-display=\"false\">4<\/span>\u548c<span class=\"katex-eq\" data-katex-display=\"false\">64<\/span>\u4e4b\u95f4\uff0c\u5177\u4f53\u53d6\u51b3\u4e8e\u6bcf\u4e2a\u95ee\u9898\u7684\u6d4b\u8bd5\u96c6\u5927\u5c0f\uff09\u3002\u7136\u540e\uff0cpass@1 \u8ba1\u7b97\u4e3a\uff1a<br \/>\n<span class=\"katex-eq\" data-katex-display=\"false\">\n\n\\text{pass@1} = \\frac{1}{k} \\sum_{i=1}^{k} p_i,\n\n<\/span><br \/>\n\u5176\u4e2d<span class=\"katex-eq\" data-katex-display=\"false\">p_i<\/span>\u8868\u793a\u7b2c<span class=\"katex-eq\" data-katex-display=\"false\">i<\/span>\u4e2a\u54cd\u5e94\u7684\u6b63\u786e\u6027\u3002\u6b64\u65b9\u6cd5\u63d0\u4f9b\u4e86\u66f4\u53ef\u9760\u7684\u6027\u80fd\u4f30\u8ba1\u3002\u5bf9\u4e8eAIME 2024\uff0c\u6211\u4eec\u8fd8\u62a5\u544a\u4e86\u4f7f\u7528<span class=\"katex-eq\" data-katex-display=\"false\">64<\/span> \u4e2a\u6837\u672c\u7684\u4e00\u81f4\u6027\uff08\u591a\u6570\u6295\u7968\uff09\u7ed3\u679c\uff0c\u8868\u793a\u4e3acons@<span class=\"katex-eq\" data-katex-display=\"false\">64<\/span>\u3002<\/p>\n<h4>3.1 DeepSeek-R1 \u8bc4\u4f30<\/h4>\n<p>\u5bf9\u4e8e\u9762\u5411\u6559\u80b2\u7684\u77e5\u8bc6\u57fa\u51c6\u6d4b\u8bd5\uff0c\u4f8b\u5982MMLU\u3001MMLU-Pro \u548c GPQA Diamond\uff0cDeepSeek-R1\u8868\u73b0\u51fa\u4f18\u4e8eDeepSeek-V3\u7684\u6027\u80fd\u3002\u6b64\u6539\u8fdb\u4e3b\u8981\u5f52\u56e0\u4e8eSTEM\u76f8\u5173\u95ee\u9898\u51c6\u786e\u6027\u7684\u63d0\u9ad8\uff0c\u5176\u4e2d\u901a\u8fc7\u5927\u89c4\u6a21\u5f3a\u5316\u5b66\u4e60\u53d6\u5f97\u4e86\u663e\u8457\u8fdb\u5c55\u3002\u6b64\u5916\uff0cDeepSeek-R1\u5728FRAMES\u4e0a\u8868\u73b0\u51fa\u8272\uff0cFRAMES\u662f\u4e00\u9879\u4f9d\u8d56\u957f\u4e0a\u4e0b\u6587\u7684\u95ee\u7b54\u4efb\u52a1\uff0c\u5c55\u793a\u4e86\u5176\u5f3a\u5927\u7684\u6587\u6863\u5206\u6790\u80fd\u529b\u3002\u8fd9\u7a81\u51fa\u4e86\u63a8\u7406\u6a21\u578b\u5728\u4eba\u5de5\u667a\u80fd\u9a71\u52a8\u7684\u641c\u7d22\u548c\u6570\u636e\u5206\u6790\u4efb\u52a1\u4e2d\u7684\u6f5c\u529b\u3002\u5728\u4e8b\u5b9e\u57fa\u51c6SimpleQA\u4e0a\uff0cDeepSeek-R1\u7684\u6027\u80fd\u4f18\u4e8eDeepSeek-V3\uff0c\u8bc1\u660e\u5176\u5904\u7406\u57fa\u4e8e\u4e8b\u5b9e\u67e5\u8be2\u7684\u80fd\u529b\u3002\u5728\u6b64\u57fa\u51c6\u6d4b\u8bd5\u4e2d\uff0cOpenAI-o1\u4f18\u4e8eGPT-4o\uff0c\u4e5f\u89c2\u5bdf\u5230\u4e86\u7c7b\u4f3c\u7684\u8d8b\u52bf\u3002\u4f46\u662f\uff0cDeepSeek-R1\u5728\u4e2d\u6587SimpleQA\u57fa\u51c6\u6d4b\u8bd5\u4e2d\u7684\u6027\u80fd\u4e0d\u5982DeepSeek-V3\uff0c\u8fd9\u4e3b\u8981\u662f\u56e0\u4e3a\u5176\u5728\u5b89\u5168\u5f3a\u5316\u5b66\u4e60\u540e\u503e\u5411\u4e8e\u62d2\u7edd\u56de\u7b54\u67d0\u4e9b\u67e5\u8be2\u3002\u5728\u6ca1\u6709\u5b89\u5168\u5f3a\u5316\u5b66\u4e60\u7684\u60c5\u51b5\u4e0b\uff0cDeepSeek-R1\u53ef\u4ee5\u8fbe\u5230\u8d85\u8fc770%\u7684\u51c6\u786e\u7387\u3002<\/p>\n<p>DeepSeek-R1\u8fd8\u5728IF-Eval\u4e0a\u53d6\u5f97\u4e86\u4ee4\u4eba\u5370\u8c61\u6df1\u523b\u7684\u7ed3\u679c\uff0cIF-Eval\u662f\u4e00\u4e2a\u65e8\u5728\u8bc4\u4f30\u6a21\u578b\u9075\u5faa\u683c\u5f0f\u6307\u4ee4\u80fd\u529b\u7684\u57fa\u51c6\u6d4b\u8bd5\u3002\u8fd9\u4e9b\u6539\u8fdb\u53ef\u4ee5\u4e0e\u76d1\u7763\u5fae\u8c03(SFT)\u548cRL\u8bad\u7ec3\u7684\u6700\u540e\u9636\u6bb5\u5305\u542b\u6307\u4ee4\u8ddf\u8e2a\u6570\u636e\u6709\u5173\u3002\u6b64\u5916\uff0c\u5728AlpacaEval2.0\u548cArenaHard\u4e0a\u89c2\u5bdf\u5230\u5353\u8d8a\u7684\u6027\u80fd\uff0c\u8868\u660eDeepSeek-R1\u5728\u5199\u4f5c\u4efb\u52a1\u548c\u5f00\u653e\u9886\u57df\u95ee\u7b54\u65b9\u9762\u7684\u4f18\u52bf\u3002\u5b83\u663e\u8457\u4f18\u4e8eDeepSeek-V3\uff0c\u7a81\u663e\u4e86\u5927\u89c4\u6a21\u5f3a\u5316\u5b66\u4e60\u7684\u6cdb\u5316\u4f18\u52bf\uff0c\u8fd9\u4e0d\u4ec5\u63d0\u9ad8\u4e86\u63a8\u7406\u80fd\u529b\uff0c\u800c\u4e14\u8fd8\u63d0\u9ad8\u4e86\u8de8\u4e0d\u540c\u9886\u57df\u7684\u6027\u80fd\u3002\u6b64\u5916\uff0cDeepSeek-R1\u751f\u6210\u7684\u6458\u8981\u957f\u5ea6\u8f83\u4e3a\u7cbe\u70bc\uff0c\u5728ArenaHard\u4e0a\u7684\u5e73\u5747\u957f\u5ea6\u4e3a689\u4e2atoken\uff0c\u5728AlpacaEval 2.0\u4e0a\u5219\u4e3a2,218\u4e2a\u5b57\u7b26\u3002\u8fd9\u8868\u660eDeepSeek-R1\u5728\u57fa\u4e8eGPT\u7684\u8bc4\u4f30\u4e2d\u907f\u514d\u4e86\u5f15\u5165\u957f\u5ea6\u504f\u5dee\uff0c\u8fdb\u4e00\u6b65\u5de9\u56fa\u4e86\u5176\u5728\u591a\u79cd\u4efb\u52a1\u4e2d\u7684\u9c81\u68d2\u6027\u3002<\/p>\n<p>\u5728\u6570\u5b66\u4efb\u52a1\u4e0a\uff0cDeepSeek-R1\u7684\u6027\u80fd\u4e0eOpenAI-o1-1217\u4e0d\u76f8\u4e0a\u4e0b\uff0c\u8fdc\u8d85\u5176\u4ed6\u6a21\u578b\u3002\u5728\u7f16\u7801\u7b97\u6cd5\u4efb\u52a1\uff08\u4f8b\u5982LiveCodeBench\u548cCodeforces\uff09\u4e0a\u4e5f\u89c2\u5bdf\u5230\u4e86\u7c7b\u4f3c\u7684\u8d8b\u52bf\uff0c\u5176\u4e2d\u6ce8\u91cd\u63a8\u7406\u7684\u6a21\u578b\u5728\u8fd9\u4e9b\u57fa\u51c6\u6d4b\u8bd5\u4e2d\u5360\u636e\u4e3b\u5bfc\u5730\u4f4d\u3002\u5728\u9762\u5411\u5de5\u7a0b\u7684\u7f16\u7801\u4efb\u52a1\u4e0a\uff0cOpenAI-o1-1217\u5728Aider\u4e0a\u7684\u6027\u80fd\u4f18\u4e8eDeepSeek-R1\uff0c\u4f46\u5728SWE Verified\u4e0a\u53d6\u5f97\u4e86\u76f8\u5f53\u7684\u6027\u80fd\u3002\u6211\u4eec\u76f8\u4fe1DeepSeek-R1\u7684\u5de5\u7a0b\u6027\u80fd\u5c06\u5728\u4e0b\u4e00\u4e2a\u7248\u672c\u4e2d\u5f97\u5230\u6539\u8fdb\uff0c\u56e0\u4e3a\u76ee\u524d\u76f8\u5173\u7684\u5f3a\u5316\u5b66\u4e60\u8bad\u7ec3\u6570\u636e\u4ecd\u7136\u975e\u5e38\u6709\u9650\u3002<\/p>\n<h4>3.2 \u84b8\u998f\u6a21\u578b\u8bc4\u4f30<\/h4>\n<p>\u5982\u88685\u6240\u793a\uff0c\u7b80\u5355\u5730\u84b8\u998fDeepSeek-R1\u7684\u8f93\u51fa\u4f7f\u9ad8\u6548\u7684DeepSeek-R1-7B\uff08\u5373 DeepSeek-R1-Distill-Qwen-7B\uff0c\u4ee5\u4e0b\u7c7b\u4f3c\u7f29\u5199\uff09\u80fd\u591f\u5168\u9762\u8d85\u8d8a\u50cfGPT-4o-0513 \u8fd9\u6837\u7684\u975e\u63a8\u7406\u6a21\u578b\u3002DeepSeek-R1-14B\u5728\u6240\u6709\u8bc4\u4f30\u6307\u6807\u4e0a\u90fd\u8d85\u8fc7\u4e86QwQ-32B-Preview\uff0c\u800cDeepSeek-R1-32B\u548cDeepSeek-R1-70B\u5728\u5927\u591a\u6570\u57fa\u51c6\u6d4b\u8bd5\u4e0a\u90fd\u663e\u8457\u8d85\u8fc7\u4e86o1-mini\u3002\u8fd9\u4e9b\u7ed3\u679c\u8bc1\u660e\u4e86\u84b8\u998f\u7684\u5f3a\u5927\u6f5c\u529b\u3002\u6b64\u5916\uff0c\u6211\u4eec\u53d1\u73b0\u5c06\u5f3a\u5316\u5b66\u4e60\u5e94\u7528\u4e8e\u8fd9\u4e9b\u84b8\u998f\u6a21\u578b\u4f1a\u4ea7\u751f\u8fdb\u4e00\u6b65\u7684\u663e\u8457\u589e\u76ca\u3002\u6211\u4eec\u8ba4\u4e3a\u8fd9\u503c\u5f97\u8fdb\u4e00\u6b65\u63a2\u7d22\uff0c\u56e0\u6b64\u8fd9\u91cc\u4ec5\u5c55\u793a\u7b80\u5355\u7684SFT\u84b8\u998f\u6a21\u578b\u7684\u7ed3\u679c\u3002<br \/>\n<img decoding=\"async\" src=\"https:\/\/youpaiyun.lingbo.online\/2025\/02\/20250218042411629.jpg\" alt=\"\" \/><\/p>\n<h3>4 \u8ba8\u8bba<\/h3>\n<h4>4.1 \u84b8\u998f\u4e0e\u5f3a\u5316\u5b66\u4e60<\/h4>\n<p>\u57283.2\u8282\u4e2d\uff0c\u6211\u4eec\u53ef\u4ee5\u770b\u5230\uff0c\u901a\u8fc7\u84b8\u998fDeepSeek-R1\uff0c\u5c0f\u578b\u6a21\u578b\u53ef\u4ee5\u53d6\u5f97\u4ee4\u4eba\u5370\u8c61\u6df1\u523b\u7684\u7ed3\u679c\u3002\u7136\u800c\uff0c\u8fd8\u6709\u4e00\u4e2a\u95ee\u9898\u5c1a\u5f85\u89e3\u7b54\uff1a\u5728\u6ca1\u6709\u84b8\u998f\u7684\u60c5\u51b5\u4e0b\uff0c\u6a21\u578b\u80fd\u5426\u901a\u8fc7\u8bba\u6587\u4e2d\u8ba8\u8bba\u7684\u5927\u89c4\u6a21\u5f3a\u5316\u5b66\u4e60\u8bad\u7ec3\u8fbe\u5230\u53ef\u6bd4\u7684\u6027\u80fd\uff1f<\/p>\n<p>\u4e3a\u4e86\u56de\u7b54\u8fd9\u4e2a\u95ee\u9898\uff0c\u6211\u4eec\u4f7f\u7528\u6570\u5b66\u3001\u4ee3\u7801\u548cSTEM\u6570\u636e\u5bf9Qwen-32B-Base\u8fdb\u884c\u4e86\u5927\u89c4\u6a21\u5f3a\u5316\u5b66\u4e60\u8bad\u7ec3\uff0c\u8bad\u7ec3\u6b65\u6570\u8d85\u8fc710K\u6b65\uff0c\u6700\u7ec8\u5f97\u5230DeepSeek-R1-Zero-Qwen-32B\u3002 \u88686\u6240\u793a\u7684\u5b9e\u9a8c\u7ed3\u679c\u8868\u660e\uff0c\u7ecf\u8fc7\u5927\u89c4\u6a21\u5f3a\u5316\u5b66\u4e60\u8bad\u7ec3\u768432B\u57fa\u7840\u6a21\u578b\uff0c\u5176\u6027\u80fd\u4e0eQwQ-32B-Preview\u4e0d\u76f8\u4e0a\u4e0b\u3002\u7136\u800c\uff0c\u4eceDeepSeek-R1\u84b8\u998f\u800c\u6765\u7684DeepSeek-R1-Distill-Qwen-32B\u5728\u6240\u6709\u57fa\u51c6\u6d4b\u8bd5\u4e2d\u7684\u6027\u80fd\u90fd\u663e\u8457\u4f18\u4e8eDeepSeek-R1-Zero-Qwen-32B\u3002<br \/>\n<img decoding=\"async\" src=\"https:\/\/youpaiyun.lingbo.online\/2025\/02\/20250218042516150.jpg\" alt=\"\" \/><br \/>\n\u56e0\u6b64\uff0c\u6211\u4eec\u53ef\u4ee5\u5f97\u51fa\u4e24\u4e2a\u7ed3\u8bba\uff1a\u9996\u5148\uff0c\u5c06\u66f4\u5f3a\u5927\u7684\u6a21\u578b\u84b8\u998f\u6210\u66f4\u5c0f\u7684\u6a21\u578b\u53ef\u4ee5\u4ea7\u751f\u4f18\u5f02\u7684\u7ed3\u679c\uff0c\u800c\u4f9d\u8d56\u4e8e\u672c\u6587\u4e2d\u63d0\u5230\u7684\u5927\u89c4\u6a21\u5f3a\u5316\u5b66\u4e60\u7684\u5c0f\u578b\u6a21\u578b\u9700\u8981\u5de8\u5927\u7684\u8ba1\u7b97\u80fd\u529b\uff0c\u751a\u81f3\u53ef\u80fd\u65e0\u6cd5\u8fbe\u5230\u84b8\u998f\u7684\u6027\u80fd\u3002\u5176\u6b21\uff0c\u867d\u7136\u84b8\u998f\u7b56\u7565\u65e2\u7ecf\u6d4e\u53c8\u6709\u6548\uff0c\u4f46\u8981\u7a81\u7834\u667a\u80fd\u7684\u754c\u9650\uff0c\u53ef\u80fd\u4ecd\u7136\u9700\u8981\u66f4\u5f3a\u5927\u7684\u57fa\u7840\u6a21\u578b\u548c\u66f4\u5927\u89c4\u6a21\u7684\u5f3a\u5316\u5b66\u4e60\u3002<\/p>\n<h4>4.2 \u672a\u6210\u529f\u7684\u5c1d\u8bd5<\/h4>\n<p>\u5728DeepSeek-R1\u7684\u65e9\u671f\u5f00\u53d1\u9636\u6bb5\uff0c\u6211\u4eec\u4e5f\u9047\u5230\u4e86\u4e00\u4e9b\u5931\u8d25\u548c\u632b\u6298\u3002\u6211\u4eec\u5728\u6b64\u5206\u4eab\u6211\u4eec\u7684\u5931\u8d25\u7ecf\u9a8c\u4ee5\u63d0\u4f9b\u89c1\u89e3\uff0c\u4f46\u8fd9\u5e76\u4e0d\u610f\u5473\u7740\u8fd9\u4e9b\u65b9\u6cd5\u65e0\u6cd5\u5f00\u53d1\u6709\u6548\u7684\u63a8\u7406\u6a21\u578b\u3002<\/p>\n<p><strong>\u8fc7\u7a0b\u5956\u52b1\u6a21\u578b\uff08PRM\uff09<\/strong><br \/>\n\u8fc7\u7a0b\u5956\u52b1\u6a21\u578b\uff08Process Reward 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