{"id":971,"date":"2025-02-07T11:54:26","date_gmt":"2025-02-07T03:54:26","guid":{"rendered":"https:\/\/cdjax.com\/?p=971"},"modified":"2025-02-07T11:54:26","modified_gmt":"2025-02-07T03:54:26","slug":"deepseek-r1%e8%ae%ba%e6%96%87-%e4%b8%ad%e6%96%87%e7%89%88%ef%bc%88r1%e7%bf%bb%e8%af%91%ef%bc%89","status":"publish","type":"post","link":"https:\/\/cdjax.com\/?p=971","title":{"rendered":"DeepSeek-R1\u8bba\u6587 \u4e2d\u6587\u7248\uff08R1\u7ffb\u8bd1\uff09"},"content":{"rendered":"\n

\u5728\u56de\u6caa\u7684\u822a\u73ed\u4e0a\uff0c\u6211\u7528\u672c\u5730\u5927\u6a21\u578b\u7ffb\u8bd1\u4e86\u8fd9\u7bc7paper\uff0c\u8fd9\u91cc\u4e5f\u5206\u4eab\u51fa\u6765\uff0c\u7701\u7565\u90e8\u5206\u56fe\u8868\u3002<\/p>\n\n\n\n

<\/p>\n\n\n\n

DeepSeek-R1\uff1a\u901a\u8fc7\u5f3a\u5316\u5b66\u4e60\u6fc0\u52b1\u5927\u578b\u8bed\u8a00\u6a21\u578b\u7684\u63a8\u7406\u80fd\u529b<\/strong><\/p>\n\n\n\n

DeepSeek-AI
research@deepseek.com<\/a><\/p>\n\n\n\n

\u6458\u8981<\/strong>
\u6211\u4eec\u4ecb\u7ecd\u4e86\u6211\u4eec\u7684\u7b2c\u4e00\u4ee3\u63a8\u7406\u6a21\u578b\uff0cDeepSeek-R1-Zero \u548cDeepSeek-R1 \u3002DeepSeek-R1-Zero \u662f\u901a\u8fc7\u5927\u89c4\u6a21\u5f3a\u5316\u5b66\u4e60\uff08RL\uff09\u8bad\u7ec3\u7684\u6a21\u578b\uff0c\u6ca1\u6709\u7ecf\u8fc7\u76d1\u7763\u5fae\u8c03\uff08SFT\uff09\u4f5c\u4e3a\u521d\u6b65\u6b65\u9aa4\uff0c\u5c55\u73b0\u4e86\u663e\u8457\u7684\u63a8\u7406\u80fd\u529b\u3002\u901a\u8fc7 RL\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\u9762\u4e34\u7740\u53ef\u8bfb\u6027\u5dee\u548c\u8bed\u8a00\u6df7\u5408\u7b49\u6311\u6218\u3002\u4e3a\u4e86\u89e3\u51b3\u8fd9\u4e9b\u95ee\u9898\u5e76\u8fdb\u4e00\u6b65\u589e\u5f3a\u63a8\u7406\u6027\u80fd\uff0c\u6211\u4eec\u5f15\u5165\u4e86 DeepSeek-R1\uff0c\u8be5\u6a21\u578b\u5728 RL \u4e4b\u524d\u7ed3\u5408\u4e86\u591a\u9636\u6bb5\u8bad\u7ec3\u548c\u51b7\u542f\u52a8\u6570\u636e\u3002 DeepSeek-R1 \u5728\u63a8\u7406\u4efb\u52a1\u4e0a\u7684\u8868\u73b0\u4e0e OpenAI-o1-1217 \u76f8\u5f53\u3002\u4e3a\u4e86\u652f\u6301\u7814\u7a76\u793e\u533a\uff0c\u6211\u4eec\u5f00\u6e90\u4e86 DeepSeek-R1-Zero \u3001DeepSeek-R1 \u4ee5\u53ca\u57fa\u4e8e Qwen \u548cLlama \u4eceDeepSeek-R1 \u63d0\u70bc\u51fa\u7684\u516d\u4e2a\u5bc6\u96c6\u6a21\u578b\uff081.5B \u30017B \u30018B \u300114B \u300132B \u300170B\uff09\u3002<\/p>\n\n\n\n

\u5185\u5bb9<\/strong><\/p>\n\n\n\n

    \n
  1. \u5f15\u8a00
    1.1. \u8d21\u732e
    1.2. \u8bc4\u4f30\u7ed3\u679c\u603b\u7ed3<\/li>\n\n\n\n
  2. \u65b9\u6cd5
    2.1. \u6982\u8ff0
    2.2. DeepSeek-R1-Zero\uff1a\u57fa\u7840\u6a21\u578b\u4e0a\u7684\u5f3a\u5316\u5b66\u4e60
    2.2.1. \u5f3a\u5316\u5b66\u4e60\u7b97\u6cd5
    2.2.2. \u5956\u52b1\u5efa\u6a21
    2.2.3. \u8bad\u7ec3\u6a21\u677f
    2.2.4. DeepSeek-R1-Zero \u7684\u6027\u80fd\u3001\u81ea\u6211\u6f14\u5316\u8fc7\u7a0b\u548c\u201c\u987f\u609f\u201d\u65f6\u523b
    2.3. DeepSeek-R1\uff1a\u5e26\u6709\u51b7\u542f\u52a8\u7684\u5f3a\u5316\u5b66\u4e60
    2.3.1. \u51b7\u542f\u52a8
    2.3.2. \u4ee5\u63a8\u7406\u4e3a\u5bfc\u5411\u7684\u5f3a\u5316\u5b66\u4e60
    2.3.3. \u62d2\u7edd\u91c7\u6837\u548c\u76d1\u7763\u5fae\u8c03
    2.3.4. \u9002\u7528\u4e8e\u6240\u6709\u573a\u666f\u7684\u5f3a\u5316\u5b66\u4e60
    2.4. \u84b8\u998f\uff1a\u8d4b\u4e88\u5c0f\u6a21\u578b\u63a8\u7406\u80fd\u529b<\/li>\n\n\n\n
  3. \u5b9e\u9a8c
    3.1. DeepSeek-R1 \u8bc4\u4f30
    3.2. \u84b8\u998f\u6a21\u578b\u8bc4\u4f30<\/li>\n\n\n\n
  4. \u8ba8\u8bba
    4.1. \u84b8\u998f\u4e0e\u5f3a\u5316\u5b66\u4e60
    4.2. \u4e0d\u6210\u529f\u7684\u5c1d\u8bd5<\/li>\n\n\n\n
  5. \u7ed3\u8bba\u3001\u5c40\u9650\u6027\u548c\u672a\u6765\u5de5\u4f5c
    A. \u8d21\u732e\u548c\u81f4\u8c22\uff08\u7565\uff09<\/li>\n<\/ol>\n\n\n\n

    1. \u5f15\u8a00<\/strong>
    \u8fd1\u5e74\u6765\uff0c\u5927\u578b\u8bed\u8a00\u6a21\u578b\uff08LLMs\uff09\u7ecf\u5386\u4e86\u5feb\u901f\u7684\u8fed\u4ee3\u548c\u6f14\u53d8\uff0c\u9010\u6e10\u7f29\u5c0f\u4e86\u4e0e\u4eba\u5de5\u901a\u7528\u667a\u80fd\uff08AGI\uff09\u4e4b\u95f4\u7684\u5dee\u8ddd\u3002\u6700\u8fd1\uff0c\u540e\u8bad\u7ec3\u5df2\u6210\u4e3a\u5b8c\u6574\u8bad\u7ec3\u6d41\u7a0b\u7684\u91cd\u8981\u7ec4\u6210\u90e8\u5206\u3002\u7814\u7a76\u8868\u660e\uff0c\u5b83\u53ef\u4ee5\u63d0\u9ad8\u63a8\u7406\u4efb\u52a1\u7684\u51c6\u786e\u6027\uff0c\u4e0e\u793e\u4f1a\u4ef7\u503c\u89c2\u5bf9\u9f50\uff0c\u5e76\u9002\u5e94\u7528\u6237\u504f\u597d\uff0c\u540c\u65f6\u76f8\u5bf9\u4e8e\u9884\u8bad\u7ec3\u800c\u8a00\u9700\u8981\u7684\u8ba1\u7b97\u8d44\u6e90\u76f8\u5bf9\u8f83\u5c11\u3002\u5728\u63a8\u7406\u80fd\u529b\u65b9\u9762\uff0cOpenAI \u7684o1 \u7cfb\u5217\u6a21\u578b\u9996\u6b21\u5f15\u5165\u4e86\u901a\u8fc7\u589e\u52a0\u601d\u7ef4\u94fe\uff08Chain-of-Thought\uff09\u63a8\u7406\u8fc7\u7a0b\u7684\u957f\u5ea6\u6765\u8fdb\u884c\u63a8\u7406\u65f6\u6269\u5c55\u7684\u65b9\u6cd5\u3002\u8fd9\u79cd\u65b9\u6cd5\u5728\u6570\u5b66\u3001\u7f16\u7801\u548c\u79d1\u5b66\u63a8\u7406\u7b49\u5404\u79cd\u63a8\u7406\u4efb\u52a1\u4e2d\u53d6\u5f97\u4e86\u663e\u8457\u7684\u6539\u8fdb\u3002\u7136\u800c\uff0c\u5982\u4f55\u6709\u6548\u5730\u8fdb\u884c\u6d4b\u8bd5\u65f6\u6269\u5c55\u4ecd\u7136\u662f\u7814\u7a76\u793e\u533a\u9762\u4e34\u7684\u4e00\u4e2a\u5f00\u653e\u95ee\u9898\u3002\u4e4b\u524d\u7684\u51e0\u9879\u5de5\u4f5c\u63a2\u7d22\u4e86\u5404\u79cd\u65b9\u6cd5\uff0c\u5305\u62ec\u57fa\u4e8e\u8fc7\u7a0b\u7684\u5956\u52b1\u6a21\u578b\u3001\u5f3a\u5316\u5b66\u4e60\u548c\u641c\u7d22\u7b97\u6cd5\uff08\u5982\u8499\u7279\u5361\u6d1b\u6811\u641c\u7d22\u548c\u675f\u641c\u7d22\uff09\u3002\u7136\u800c\uff0c\u8fd9\u4e9b\u65b9\u6cd5\u90fd\u672a\u80fd\u5728\u63a8\u7406\u6027\u80fd\u4e0a\u8fbe\u5230\u4e0e OpenAI \u7684o1 \u7cfb\u5217\u6a21\u578b\u76f8\u5f53\u7684\u6c34\u5e73\u3002<\/p>\n\n\n\n

    \u5728\u672c\u6587\u4e2d\uff0c\u6211\u4eec\u8fc8\u51fa\u4e86\u901a\u8fc7\u7eaf\u5f3a\u5316\u5b66\u4e60\uff08RL\uff09\u63d0\u9ad8\u8bed\u8a00\u6a21\u578b\u63a8\u7406\u80fd\u529b\u7684\u7b2c\u4e00\u6b65\u3002\u6211\u4eec\u7684\u76ee\u6807\u662f\u63a2\u7d22 LLMs \u5728\u6ca1\u6709\u4efb\u4f55\u76d1\u7763\u6570\u636e\u7684\u60c5\u51b5\u4e0b\u53d1\u5c55\u63a8\u7406\u80fd\u529b\u7684\u6f5c\u529b\uff0c\u4e13\u6ce8\u4e8e\u5b83\u4eec\u901a\u8fc7\u7eaf RL \u8fc7\u7a0b\u7684\u81ea\u6211\u6f14\u5316\u3002\u5177\u4f53\u6765\u8bf4\uff0c\u6211\u4eec\u4f7f\u7528 DeepSeek-V3-Base \u4f5c\u4e3a\u57fa\u7840\u6a21\u578b\uff0c\u5e76\u91c7\u7528 GRPO \u4f5c\u4e3a RL \u6846\u67b6\uff0c\u4ee5\u63d0\u9ad8\u6a21\u578b\u5728\u63a8\u7406\u65b9\u9762\u7684\u8868\u73b0\u3002\u5728\u8bad\u7ec3\u8fc7\u7a0b\u4e2d\uff0cDeepSeek-R1-Zero \u81ea\u7136\u5c55\u73b0\u51fa\u8bb8\u591a\u5f3a\u5927\u800c\u6709\u8da3\u7684\u63a8\u7406\u884c\u4e3a\u3002\u5728\u7ecf\u8fc7\u6570\u5343\u6b65\u7684 RL \u540e\uff0cDeepSeek-R1-Zero \u5728\u63a8\u7406\u57fa\u51c6\u6d4b\u8bd5\u4e2d\u7684\u8868\u73b0\u8d85\u7fa4\u3002\u4f8b\u5982\uff0cAIME 2024 \u7684pass@1 \u5206\u6570\u4ece 15.6%\u4e0a\u5347\u5230 71.0%\uff0c\u901a\u8fc7\u591a\u6570\u6295\u7968\uff0c\u5206\u6570\u8fdb\u4e00\u6b65\u63d0\u9ad8\u5230 86.7%\uff0c\u4e0e OpenAI-o1-0912 \u7684\u8868\u73b0\u76f8\u5339\u914d\u3002<\/p>\n\n\n\n

    \u7136\u800c\uff0cDeepSeek-R1-Zero \u9762\u4e34\u7740\u53ef\u8bfb\u6027\u5dee\u548c\u8bed\u8a00\u6df7\u5408\u7b49\u6311\u6218\u3002\u4e3a\u4e86\u89e3\u51b3\u8fd9\u4e9b\u95ee\u9898\u5e76\u8fdb\u4e00\u6b65\u589e\u5f3a\u63a8\u7406\u6027\u80fd\uff0c\u6211\u4eec\u5f15\u5165\u4e86 DeepSeek-R1\uff0c\u8be5\u6a21\u578b\u7ed3\u5408\u4e86\u5c11\u91cf\u51b7\u542f\u52a8\u6570\u636e\u548c\u591a\u9636\u6bb5\u8bad\u7ec3\u6d41\u7a0b\u3002\u5177\u4f53\u6765\u8bf4\uff0c\u6211\u4eec\u9996\u5148\u6536\u96c6\u6570\u5343\u6761\u51b7\u542f\u52a8\u6570\u636e\uff0c\u4ee5\u5fae\u8c03 DeepSeek-V3-Base \u6a21\u578b\u3002\u968f\u540e\uff0c\u6211\u4eec\u6267\u884c\u4ee5\u63a8\u7406\u4e3a\u5bfc\u5411\u7684 RL\uff0c\u5982\u540c DeepSeek-R1-Zero \u3002\u5f53 RL \u8fc7\u7a0b\u63a5\u8fd1\u6536\u655b\u65f6\uff0c\u6211\u4eec\u901a\u8fc7\u5bf9 RL \u68c0\u67e5\u70b9\u8fdb\u884c\u62d2\u7edd\u91c7\u6837\u751f\u6210\u65b0\u7684 SFT \u6570\u636e\uff0c\u5e76\u7ed3\u5408\u6765\u81ea DeepSeek-V3 \u7684\u76d1\u7763\u6570\u636e\uff0c\u6db5\u76d6\u5199\u4f5c\u3001\u4e8b\u5b9e\u95ee\u7b54\u548c\u81ea\u6211\u8ba4\u77e5\u7b49\u9886\u57df\uff0c\u7136\u540e\u5bf9 DeepSeek-V3-Base \u6a21\u578b\u8fdb\u884c\u518d\u8bad\u7ec3\u3002\u5728\u7528\u65b0\u6570\u636e\u5fae\u8c03\u540e\uff0c\u8be5\u68c0\u67e5\u70b9\u7ecf\u8fc7\u989d\u5916\u7684 RL \u8fc7\u7a0b\uff0c\u8003\u8651\u5230\u6765\u81ea\u6240\u6709\u573a\u666f\u7684\u63d0\u793a\u3002\u7ecf\u8fc7\u8fd9\u4e9b\u6b65\u9aa4\uff0c\u6211\u4eec\u83b7\u5f97\u4e86\u4e00\u4e2a\u79f0\u4e3a DeepSeek-R1 \u7684\u68c0\u67e5\u70b9\uff0c\u5176\u5728\u63a8\u7406\u4efb\u52a1\u4e0a\u7684\u8868\u73b0\u4e0e OpenAI-o1-1217 \u76f8\u5f53\u3002<\/p>\n\n\n\n

    \u6211\u4eec\u8fdb\u4e00\u6b65\u63a2\u7d22\u4ece DeepSeek-R1 \u84b8\u998f\u51fa\u5c0f\u578b\u5bc6\u96c6\u6a21\u578b\u3002\u4f7f\u7528 Qwen2.5-32B \u4f5c\u4e3a\u57fa\u7840\u6a21\u578b\uff0c\u76f4\u63a5\u4ece DeepSeek-R1 \u84b8\u998f\u7684\u7ed3\u679c\u4f18\u4e8e\u5728\u5176\u4e0a\u5e94\u7528 RL \u3002\u8fd9\u8868\u660e\u5927\u578b\u57fa\u7840\u6a21\u578b\u53d1\u73b0\u7684\u63a8\u7406\u6a21\u5f0f\u5bf9\u4e8e\u63d0\u9ad8\u63a8\u7406\u80fd\u529b\u81f3\u5173\u91cd\u8981\u3002\u6211\u4eec\u5f00\u6e90\u4e86\u57fa\u4e8e DeepSeek-R1 \u84b8\u998f\u7684 Qwen \u548cLlama \u7cfb\u5217\u6a21\u578b\u3002\u503c\u5f97\u6ce8\u610f\u7684\u662f\uff0c\u6211\u4eec\u7684\u84b8\u998f 14B \u6a21\u578b\u5728\u63a8\u7406\u57fa\u51c6\u6d4b\u8bd5\u4e2d\u663e\u8457\u8d85\u8d8a\u4e86\u6700\u65b0\u7684\u5f00\u6e90 QwQ-32B-Preview\uff0c\u800c\u84b8\u998f\u7684 32B \u548c70B \u6a21\u578b\u5728\u5bc6\u96c6\u6a21\u578b\u4e2d\u521b\u4e0b\u4e86\u65b0\u7684\u63a8\u7406\u57fa\u51c6\u8bb0\u5f55\u3002<\/p>\n\n\n\n

    1.1. \u8d21\u732e<\/strong>
    \u540e\u8bad\u7ec3\uff1a\u57fa\u7840\u6a21\u578b\u4e0a\u7684\u5927\u89c4\u6a21\u5f3a\u5316\u5b66\u4e60<\/p>\n\n\n\n

      \n
    • \u6211\u4eec\u76f4\u63a5\u5c06 RL \u5e94\u7528\u4e8e\u57fa\u7840\u6a21\u578b\uff0c\u800c\u4e0d\u4f9d\u8d56\u4e8e\u76d1\u7763\u5fae\u8c03\uff08SFT\uff09\u4f5c\u4e3a\u521d\u6b65\u6b65\u9aa4\u3002\u8fd9\u79cd\u65b9\u6cd5\u4f7f\u6a21\u578b\u80fd\u591f\u63a2\u7d22\u89e3\u51b3\u590d\u6742\u95ee\u9898\u7684\u601d\u7ef4\u94fe\uff08CoT\uff09\uff0c\u4ece\u800c\u53d1\u5c55\u51fa DeepSeek-R1-Zero \u3002DeepSeek-R1-Zero \u5c55\u793a\u4e86\u81ea\u6211\u9a8c\u8bc1\u3001\u53cd\u601d\u548c\u751f\u6210\u957f CoT \u7b49\u80fd\u529b\uff0c\u6807\u5fd7\u7740\u7814\u7a76\u793e\u533a\u7684\u4e00\u4e2a\u91cd\u8981\u91cc\u7a0b\u7891\u3002\u503c\u5f97\u6ce8\u610f\u7684\u662f\uff0c\u8fd9\u662f\u9996\u4e2a\u516c\u5f00\u7814\u7a76\uff0c\u9a8c\u8bc1\u4e86 LLMs \u7684\u63a8\u7406\u80fd\u529b\u53ef\u4ee5\u901a\u8fc7\u7eaf RL \u6fc0\u52b1\uff0c\u800c\u65e0\u9700 SFT \u3002\u8fd9\u4e00\u7a81\u7834\u4e3a\u672a\u6765\u5728\u8fd9\u4e00\u9886\u57df\u7684\u8fdb\u5c55\u94fa\u5e73\u4e86\u9053\u8def\u3002<\/li>\n\n\n\n
    • \u6211\u4eec\u5f15\u5165\u4e86\u5f00\u53d1 DeepSeek-R1 \u7684\u6d41\u7a0b\u3002\u8be5\u6d41\u7a0b\u7ed3\u5408\u4e86\u4e24\u4e2a RL \u9636\u6bb5\uff0c\u65e8\u5728\u53d1\u73b0\u6539\u8fdb\u7684\u63a8\u7406\u6a21\u5f0f\u5e76\u4e0e\u4eba\u7c7b\u504f\u597d\u5bf9\u9f50\uff0c\u4ee5\u53ca\u4e24\u4e2a SFT \u9636\u6bb5\uff0c\u4f5c\u4e3a\u6a21\u578b\u63a8\u7406\u548c\u975e\u63a8\u7406\u80fd\u529b\u7684\u79cd\u5b50\u3002\u6211\u4eec\u76f8\u4fe1\u8be5\u6d41\u7a0b\u5c06\u4f7f\u884c\u4e1a\u53d7\u76ca\uff0c\u521b\u9020\u51fa\u66f4\u597d\u7684\u6a21\u578b\u3002<\/li>\n<\/ul>\n\n\n\n

      \u84b8\u998f\uff1a\u5c0f\u6a21\u578b\u4e5f\u53ef\u4ee5\u5f3a\u5927<\/p>\n\n\n\n

        \n
      • \u6211\u4eec\u8bc1\u660e\u4e86\u5927\u578b\u6a21\u578b\u7684\u63a8\u7406\u6a21\u5f0f\u53ef\u4ee5\u84b8\u998f\u5230\u5c0f\u6a21\u578b\u4e2d\uff0c\u4ece\u800c\u5728\u6027\u80fd\u4e0a\u8d85\u8d8a\u901a\u8fc7 RL \u53d1\u73b0\u7684\u63a8\u7406\u6a21\u5f0f\u3002\u5f00\u6e90\u7684 DeepSeek-R1 \u53ca\u5176 API \u5c06\u4f7f\u7814\u7a76\u793e\u533a\u5728\u672a\u6765\u84b8\u998f\u51fa\u66f4\u597d\u7684\u5c0f\u6a21\u578b\u3002<\/li>\n\n\n\n
      • \u4f7f\u7528 DeepSeek-R1 \u751f\u6210\u7684\u63a8\u7406\u6570\u636e\uff0c\u6211\u4eec\u5fae\u8c03\u4e86\u591a\u4e2a\u5e7f\u6cdb\u4f7f\u7528\u7684\u5bc6\u96c6\u6a21\u578b\u3002\u8bc4\u4f30\u7ed3\u679c\u8868\u660e\uff0c\u84b8\u998f\u7684\u5c0f\u578b\u5bc6\u96c6\u6a21\u578b\u5728\u57fa\u51c6\u6d4b\u8bd5\u4e2d\u8868\u73b0\u51fa\u8272\u3002 DeepSeek-R1-Distill-Qwen-7B \u5728AIME 2024 \u4e0a\u8fbe\u5230 55.5%\uff0c\u8d85\u8d8a\u4e86 QwQ-32B-Preview \u3002\u6b64\u5916\uff0cDeepSeek-R1-Distill-Qwen-32B \u5728AIME 2024 \u4e0a\u5f97\u5206 72.6%\uff0c\u5728 MATH-500 \u4e0a\u5f97\u5206 94.3%\uff0c\u5728 LiveCodeBench \u4e0a\u5f97\u5206 57.2%\u3002\u8fd9\u4e9b\u7ed3\u679c\u663e\u8457\u8d85\u8d8a\u4e86\u4e4b\u524d\u7684\u5f00\u6e90\u6a21\u578b\uff0c\u5e76\u4e0e o1-mini \u76f8\u5f53\u3002<\/li>\n<\/ul>\n\n\n\n

        1.2. \u8bc4\u4f30\u7ed3\u679c\u603b\u7ed3<\/strong><\/p>\n\n\n\n

          \n
        • \u63a8\u7406\u4efb\u52a1\uff1a
          (1) DeepSeek-R1 \u5728AIME 2024 \u4e0a\u5f97\u5206 79.8% Pass@1\uff0c\u7565\u5fae\u8d85\u8fc7 OpenAI-o1-1217 \u3002\u5728 MATH-500 \u4e0a\uff0c\u5b83\u53d6\u5f97\u4e86\u4ee4\u4eba\u5370\u8c61\u6df1\u523b\u7684 97.3%\u7684\u6210\u7ee9\uff0c\u4e0e OpenAI-o1-1217 \u8868\u73b0\u76f8\u5f53\uff0c\u5e76\u663e\u8457\u8d85\u8d8a\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\u8868\u73b0\u51fa\u8272\uff0c\u83b7\u5f97\u4e86 Codeforces \u4e0a\u7684 2,029 Elo \u8bc4\u5206\uff0c\u8d85\u8fc7\u4e86 96.3%\u7684\u53c2\u8d5b\u4eba\u3002\u5bf9\u4e8e\u5de5\u7a0b\u76f8\u5173\u4efb\u52a1\uff0cDeepSeek-R1 \u7684\u8868\u73b0\u7565\u4f18\u4e8e DeepSeek-V3\uff0c\u8fd9\u53ef\u80fd\u6709\u52a9\u4e8e\u5f00\u53d1\u8005\u5728\u5b9e\u9645\u4efb\u52a1\u4e2d\u3002<\/li>\n\n\n\n
        • \u77e5\u8bc6\uff1a\u5728 MMLU \u3001MMLU-Pro \u548cGPQA Diamond \u7b49\u57fa\u51c6\u6d4b\u8bd5\u4e2d\uff0cDeepSeek-R1 \u53d6\u5f97\u4e86\u51fa\u8272\u7684\u7ed3\u679c\uff0c\u5f97\u5206\u5206\u522b\u4e3a 90.8%\u3001 84.0%\u548c 71.5%\uff0c\u663e\u8457\u8d85\u8d8a DeepSeek-V3 \u3002\u5c3d\u7ba1\u5728\u8fd9\u4e9b\u57fa\u51c6\u6d4b\u8bd5\u4e2d\u7684\u8868\u73b0\u7565\u4f4e\u4e8e OpenAI-o1-1217\uff0c\u4f46 DeepSeek-R1 \u8d85\u8d8a\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\u51c6\u6d4b\u8bd5 SimpleQA \u4e2d\uff0cDeepSeek-R1 \u7684\u8868\u73b0\u4f18\u4e8e DeepSeek-V3\uff0c\u663e\u793a\u51fa\u5176\u5904\u7406\u57fa\u4e8e\u4e8b\u5b9e\u67e5\u8be2\u7684\u80fd\u529b\u3002\u5728\u8be5\u57fa\u51c6\u6d4b\u8bd5\u4e2d\uff0cOpenAI-o1 \u4e5f\u8d85\u8d8a\u4e86 4o \u3002<\/li>\n\n\n\n
        • \u5176\u4ed6\uff1aDeepSeek-R1 \u5728\u5e7f\u6cdb\u7684\u4efb\u52a1\u4e2d\u8868\u73b0\u51fa\u8272\uff0c\u5305\u62ec\u521b\u610f\u5199\u4f5c\u3001\u4e00\u822c\u95ee\u7b54\u3001\u7f16\u8f91\u3001\u6458\u8981\u7b49\u3002\u5728 AlpacaEval 2.0 \u4e0a\uff0c\u5b83\u5b9e\u73b0\u4e86 87.6%\u7684\u957f\u5ea6\u63a7\u5236\u80dc\u7387\uff0c\u5728 ArenaHard \u4e0a\u8fbe\u5230\u4e86 92.3%\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\u4e0a\u4e0b\u6587\u7406\u89e3\u7684\u4efb\u52a1\u4e0a\u8868\u73b0\u51fa\u8272\uff0c\u5728\u957f\u4e0a\u4e0b\u6587\u57fa\u51c6\u6d4b\u8bd5\u4e2d\u663e\u8457\u8d85\u8d8a DeepSeek-V3 \u3002<\/li>\n<\/ul>\n\n\n\n

          2. \u65b9\u6cd5<\/strong><\/p>\n\n\n\n

          2.1. \u6982\u8ff0<\/strong>
          \u4ee5\u5f80\u7684\u5de5\u4f5c\u5728\u63d0\u5347\u6a21\u578b\u6027\u80fd\u65f6\uff0c\u5f80\u5f80\u4f9d\u8d56\u5927\u91cf\u7684\u76d1\u7763\u6570\u636e\u3002\u5728\u672c\u7814\u7a76\u4e2d\uff0c\u6211\u4eec\u5c55\u793a\u4e86\u901a\u8fc7\u5927\u89c4\u6a21\u5f3a\u5316\u5b66\u4e60\uff08RL\uff09\u663e\u8457\u63d0\u5347\u63a8\u7406\u80fd\u529b\uff0c\u5373\u4f7f\u5728\u6ca1\u6709\u4f7f\u7528\u76d1\u7763\u5fae\u8c03\uff08SFT\uff09\u4f5c\u4e3a\u51b7\u542f\u52a8\u7684\u60c5\u51b5\u4e0b\u3002\u6b64\u5916\uff0c\u52a0\u5165\u5c11\u91cf\u9ad8\u8d28\u91cf\u6570\u636e\u4f5c\u4e3a\u51b7\u542f\u52a8\u53ef\u4ee5\u8fdb\u4e00\u6b65\u63d0\u5347\u6027\u80fd\u3002\u63a5\u4e0b\u6765\u7684\u90e8\u5206\u5c06\u4ecb\u7ecd\uff1a(1) DeepSeek-R1-Zero\uff0c\u8be5\u6a21\u578b\u76f4\u63a5\u5c06 RL \u5e94\u7528\u4e8e\u57fa\u7840\u6a21\u578b\uff0c\u800c\u6ca1\u6709\u4efb\u4f55 SFT \u6570\u636e\uff1b(2) DeepSeek-R1\uff0c\u8be5\u6a21\u578b\u4ece\u7ecf\u8fc7\u6570\u5343\u6761\u957f\u601d\u7ef4\u94fe\uff08CoT\uff09\u793a\u4f8b\u5fae\u8c03\u7684\u68c0\u67e5\u70b9\u5f00\u59cb\u5e94\u7528 RL\uff1b(3) \u5c06\u63a8\u7406\u80fd\u529b\u84b8\u998f\u5230\u5c0f\u578b\u5bc6\u96c6\u6a21\u578b\u3002<\/p>\n\n\n\n

          2.2. DeepSeek-R1-Zero\uff1a\u57fa\u7840\u6a21\u578b\u4e0a\u7684\u5f3a\u5316\u5b66\u4e60<\/strong><\/p>\n\n\n\n

          \u5f3a\u5316\u5b66\u4e60\u5728\u63a8\u7406\u4efb\u52a1\u4e2d\u5c55\u73b0\u51fa\u4e86\u663e\u8457\u7684\u6709\u6548\u6027\uff0c\u5982\u6211\u4eec\u4e4b\u524d\u7684\u5de5\u4f5c\u6240\u793a\u3002\u7136\u800c\uff0c\u8fd9\u4e9b\u5de5\u4f5c\u5728\u5b9e\u8df5\u4e2d\u9ad8\u5ea6\u4f9d\u8d56\u4e8e\u76d1\u7763\u6570\u636e\uff0c\u8fd9\u4e9b\u6570\u636e\u7684\u6536\u96c6\u8017\u65f6\u3002\u6211\u4eec\u5728\u8fd9\u4e00\u90e8\u5206\u63a2\u8ba8\u4e86 LLMs \u5728\u6ca1\u6709\u4efb\u4f55\u76d1\u7763\u6570\u636e\u7684\u60c5\u51b5\u4e0b\uff0c\u5982\u4f55\u901a\u8fc7\u7eaf\u5f3a\u5316\u5b66\u4e60\u8fc7\u7a0b\u53d1\u5c55\u63a8\u7406\u80fd\u529b\uff0c\u91cd\u70b9\u5173\u6ce8\u5b83\u4eec\u7684\u81ea\u6211\u6f14\u5316\u3002<\/p>\n\n\n\n

          2.2.1. \u5f3a\u5316\u5b66\u4e60\u7b97\u6cd5<\/strong>
          \u6211\u4eec\u91c7\u7528\u4e86\u7fa4\u4f53\u76f8\u5bf9\u7b56\u7565\u4f18\u5316\uff08GRPO\uff09\uff0c\u4ee5\u8282\u7701 RL \u7684\u8bad\u7ec3\u6210\u672c\u3002 GRPO \u7701\u7565\u4e86\u901a\u5e38\u4e0e\u7b56\u7565\u6a21\u578b\u540c\u7b49\u5927\u5c0f\u7684\u8bc4\u8bba\u6a21\u578b\uff0c\u800c\u662f\u4ece\u7fa4\u4f53\u5f97\u5206\u4e2d\u4f30\u8ba1\u57fa\u7ebf\u3002\u5177\u4f53\u6765\u8bf4\uff0c\u5bf9\u4e8e\u6bcf\u4e2a\u95ee\u9898\ud835\udc5e\uff0cGRPO \u4ece\u65e7\u7b56\u7565\ud835\udf0b\ud835\udf03\ud835\udc5c\ud835\udc59\ud835\udc51\u4e2d\u62bd\u6837\u4e00\u7ec4\u8f93\u51fa{\ud835\udc5c1, \ud835\udc5c2, \u00b7 \u00b7 \u00b7 , \ud835\udc5c\ud835\udc3a}\uff0c\u7136\u540e\u901a\u8fc7\u6700\u5927\u5316\u4ee5\u4e0b\u76ee\u6807\u6765\u4f18\u5316\u7b56\u7565\u6a21\u578b\ud835\udf0b\ud835\udf03\uff1a<\/p>\n\n\n\n

          [ J_{GRPO}(\\theta) = E[q \\sim P(Q), {o_i}{i=1}^{G} \\sim \\pi<\/em>{\\theta_{old}}(O|q)] ]<\/p>\n\n\n\n

          2.2.2. \u5956\u52b1\u5efa\u6a21<\/strong>
          \u5956\u52b1\u662f\u8bad\u7ec3\u4fe1\u53f7\u7684\u6765\u6e90\uff0c\u51b3\u5b9a\u4e86\u5f3a\u5316\u5b66\u4e60\uff08RL\uff09\u7684\u4f18\u5316\u65b9\u5411\u3002\u4e3a\u4e86\u8bad\u7ec3 DeepSeek-R1-Zero\uff0c\u6211\u4eec\u91c7\u7528\u4e86\u4e00\u79cd\u57fa\u4e8e\u89c4\u5219\u7684\u5956\u52b1\u7cfb\u7edf\uff0c\u4e3b\u8981\u7531\u4e24\u79cd\u7c7b\u578b\u7684\u5956\u52b1\u7ec4\u6210\uff1a<\/p>\n\n\n\n

            \n
          • \u51c6\u786e\u6027\u5956\u52b1<\/strong>\uff1a\u51c6\u786e\u6027\u5956\u52b1\u6a21\u578b\u8bc4\u4f30\u54cd\u5e94\u662f\u5426\u6b63\u786e\u3002\u4f8b\u5982\uff0c\u5728\u786e\u5b9a\u6027\u7ed3\u679c\u7684\u6570\u5b66\u95ee\u9898\u4e2d\uff0c\u6a21\u578b\u9700\u8981\u4ee5\u6307\u5b9a\u7684\u683c\u5f0f\uff08\u4f8b\u5982\uff0c\u5728\u6846\u5185\uff09\u63d0\u4f9b\u6700\u7ec8\u7b54\u6848\uff0c\u4ece\u800c\u5b9e\u73b0\u53ef\u9760\u7684\u57fa\u4e8e\u89c4\u5219\u7684\u6b63\u786e\u6027\u9a8c\u8bc1\u3002\u540c\u6837\uff0c\u5bf9\u4e8e LeetCode \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\n\n\n
          • \u683c\u5f0f\u5956\u52b1<\/strong>\uff1a\u9664\u4e86\u51c6\u786e\u6027\u5956\u52b1\u6a21\u578b\u5916\uff0c\u6211\u4eec\u8fd8\u91c7\u7528\u683c\u5f0f\u5956\u52b1\u6a21\u578b\uff0c\u5f3a\u5236\u6a21\u578b\u5c06\u5176\u601d\u7ef4\u8fc7\u7a0b\u653e\u5728\u201c<think>\u201d\u548c\u201c<\/think>\u201d\u6807\u7b7e\u4e4b\u95f4\u3002<\/li>\n<\/ul>\n\n\n\n

            \u6211\u4eec\u6ca1\u6709\u5728\u5f00\u53d1 DeepSeek-R1-Zero \u65f6\u5e94\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\u53ef\u80fd\u5728\u5927\u89c4\u6a21\u5f3a\u5316\u5b66\u4e60\u8fc7\u7a0b\u4e2d\u906d\u9047\u5956\u52b1\u9ed1\u5ba2\u95ee\u9898\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\u53d8\u5f97\u590d\u6742\u3002<\/p>\n\n\n\n

            2.2.3. \u8bad\u7ec3\u6a21\u677f<\/strong>
            \u4e3a\u4e86\u8bad\u7ec3 DeepSeek-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\u5faa\u6211\u4eec\u7684\u6307\u5b9a\u6307\u4ee4\u3002\u5982\u8868 1\u6240\u793a\uff0c\u8be5\u6a21\u677f\u8981\u6c42 DeepSeek-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\u79cd\u7ed3\u6784\u5316\u683c\u5f0f\u4e0a\uff0c\u907f\u514d\u4efb\u4f55\u5185\u5bb9\u7279\u5b9a\u7684\u504f\u89c1\u2014\u2014\u4f8b\u5982\u5f3a\u5236\u53cd\u601d\u6027\u63a8\u7406\u6216\u63a8\u5e7f\u7279\u5b9a\u95ee\u9898\u89e3\u51b3\u7b56\u7565\u2014\u2014\u4ee5\u786e\u4fdd\u6211\u4eec\u80fd\u591f\u51c6\u786e\u89c2\u5bdf\u6a21\u578b\u5728 RL \u8fc7\u7a0b\u4e2d\u7684\u81ea\u7136\u8fdb\u5c55\u3002<\/p>\n\n\n\n

            2.2.4. DeepSeek-R1-Zero \u7684\u6027\u80fd\u3001\u81ea\u6211\u6f14\u5316\u8fc7\u7a0b\u548c\u201c\u987f\u609f\u201d\u65f6\u523b<\/strong>
            DeepSeek-R1-Zero \u7684\u6027\u80fd\u5982\u56fe 2\u6240\u793a\uff0c\u5c55\u793a\u4e86\u5176\u5728 AIME 2024 \u57fa\u51c6\u6d4b\u8bd5\u4e2d\u7684\u8868\u73b0\u8f68\u8ff9\u3002\u5728 RL \u8bad\u7ec3\u8fc7\u7a0b\u4e2d\uff0cDeepSeek-R1-Zero \u7684\u6027\u80fd\u7a33\u6b65\u63d0\u5347\uff0c\u8868\u73b0\u51fa\u6301\u7eed\u7684\u589e\u5f3a\u3002\u503c\u5f97\u6ce8\u610f\u7684\u662f\uff0cAIME 2024 \u7684\u5e73\u5747 pass@1 \u5206\u6570\u663e\u8457\u589e\u52a0\uff0c\u4ece\u6700\u521d\u7684 15.6%\u8dc3\u5347\u81f3 71.0%\uff0c\u8fbe\u5230\u4e86\u4e0e OpenAI-o1-0912 \u76f8\u5f53\u7684\u6027\u80fd\u6c34\u5e73\u3002\u8fd9\u4e00\u663e\u8457\u63d0\u5347\u7a81\u663e\u4e86\u6211\u4eec\u7684 RL \u7b97\u6cd5\u5728\u4f18\u5316\u6a21\u578b\u6027\u80fd\u65b9\u9762\u7684\u6709\u6548\u6027\u3002<\/p>\n\n\n\n

            \u8868 2\u63d0\u4f9b\u4e86 DeepSeek-R1-Zero \u4e0eOpenAI \u7684o1-0912 \u6a21\u578b\u5728\u5404\u79cd\u63a8\u7406\u76f8\u5173\u57fa\u51c6\u6d4b\u8bd5\u4e2d\u7684\u6bd4\u8f83\u5206\u6790\u3002\u7814\u7a76\u7ed3\u679c\u663e\u793a\uff0cRL \u4f7fDeepSeek-R1-Zero \u5728\u6ca1\u6709\u4efb\u4f55\u76d1\u7763\u5fae\u8c03\u6570\u636e\u7684\u60c5\u51b5\u4e0b\u83b7\u5f97\u4e86\u5f3a\u5927\u7684\u63a8\u7406\u80fd\u529b\u3002\u8fd9\u662f\u4e00\u4e2a\u503c\u5f97\u6ce8\u610f\u7684\u6210\u5c31\uff0c\u56e0\u4e3a\u5b83\u5f3a\u8c03\u4e86\u6a21\u578b\u901a\u8fc7 RL \u5355\u72ec\u5b66\u4e60\u548c\u6982\u62ec\u7684\u80fd\u529b\u3002\u6b64\u5916\uff0c\u901a\u8fc7\u5e94\u7528\u591a\u6570\u6295\u7968\uff0cDeepSeek-R1-Zero \u7684\u8868\u73b0\u53ef\u4ee5\u8fdb\u4e00\u6b65\u589e\u5f3a\u3002\u4f8b\u5982\uff0c\u5728 AIME \u57fa\u51c6\u6d4b\u8bd5\u4e2d\uff0c\u5f53\u91c7\u7528\u591a\u6570\u6295\u7968\u65f6\uff0cDeepSeek-R1-Zero \u7684\u8868\u73b0\u4ece 71.0%\u63d0\u5347\u81f3 86.7%\uff0c\u8d85\u8d8a\u4e86 OpenAI-o1-0912 \u3002DeepSeek-R1-Zero \u5728\u6709\u65e0\u591a\u6570\u6295\u7968\u60c5\u51b5\u4e0b\u90fd\u80fd\u53d6\u5f97\u5982\u6b64\u7ade\u4e89\u529b\u7684\u8868\u73b0\uff0c\u7a81\u663e\u4e86\u5176\u5f3a\u5927\u7684\u57fa\u7840\u80fd\u529b\u548c\u5728\u63a8\u7406\u4efb\u52a1\u4e2d\u8fdb\u4e00\u6b65\u53d1\u5c55\u7684\u6f5c\u529b\u3002<\/p>\n\n\n\n

            DeepSeek-R1-Zero \u7684\u81ea\u6211\u6f14\u5316\u8fc7\u7a0b<\/strong>
            DeepSeek-R1-Zero \u7684\u81ea\u6211\u6f14\u5316\u8fc7\u7a0b\u5c55\u793a\u4e86 RL \u5982\u4f55\u9a71\u52a8\u6a21\u578b\u81ea\u4e3b\u63d0\u5347\u5176\u63a8\u7406\u80fd\u529b\u3002\u901a\u8fc7\u76f4\u63a5\u4ece\u57fa\u7840\u6a21\u578b\u542f\u52a8 RL\uff0c\u6211\u4eec\u53ef\u4ee5\u5728\u6ca1\u6709\u76d1\u7763\u5fae\u8c03\u9636\u6bb5\u5f71\u54cd\u7684\u60c5\u51b5\u4e0b\uff0c\u5bc6\u5207\u76d1\u63a7\u6a21\u578b\u7684\u8fdb\u5c55\u3002\u8fd9\u79cd\u65b9\u6cd5\u6e05\u6670\u5730\u5c55\u793a\u4e86\u6a21\u578b\u968f\u65f6\u95f4\u6f14\u53d8\u7684\u8fc7\u7a0b\uff0c\u7279\u522b\u662f\u5728\u5904\u7406\u590d\u6742\u63a8\u7406\u4efb\u52a1\u7684\u80fd\u529b\u65b9\u9762\u3002<\/p>\n\n\n\n

            \u5982\u56fe 3\u6240\u793a\uff0cDeepSeek-R1-Zero \u7684\u601d\u8003\u65f6\u95f4\u5728\u8bad\u7ec3\u8fc7\u7a0b\u4e2d\u6301\u7eed\u6539\u5584\u3002\u8fd9\u79cd\u6539\u5584\u4e0d\u662f\u5916\u90e8\u8c03\u6574\u7684\u7ed3\u679c\uff0c\u800c\u662f\u6a21\u578b\u5185\u90e8\u7684\u5185\u5728\u53d1\u5c55\u3002 DeepSeek-R1-Zero \u901a\u8fc7\u5229\u7528\u6269\u5c55\u7684\u6d4b\u8bd5\u65f6\u95f4\u8ba1\u7b97\uff0c\u81ea\u7136\u5730\u83b7\u5f97\u4e86\u89e3\u51b3\u65e5\u76ca\u590d\u6742\u7684\u63a8\u7406\u4efb\u52a1\u7684\u80fd\u529b\u3002\u8fd9\u79cd\u8ba1\u7b97\u8303\u56f4\u4ece\u751f\u6210\u6570\u767e\u5230\u6570\u5343\u4e2a\u63a8\u7406\u6807\u8bb0\uff0c\u4f7f\u6a21\u578b\u80fd\u591f\u66f4\u6df1\u5165\u5730\u63a2\u7d22\u548c\u5b8c\u5584\u5176\u601d\u7ef4\u8fc7\u7a0b\u3002<\/p>\n\n\n\n

            \u8fd9\u4e00\u81ea\u6211\u6f14\u5316\u7684\u6700\u663e\u8457\u65b9\u9762\u662f\uff0c\u968f\u7740\u6d4b\u8bd5\u65f6\u95f4\u8ba1\u7b97\u7684\u589e\u52a0\uff0c\u590d\u6742\u884c\u4e3a\u7684\u51fa\u73b0\u3002\u53cd\u601d\u7b49\u884c\u4e3a\u2014\u2014\u6a21\u578b\u91cd\u65b0\u5ba1\u89c6\u548c\u91cd\u65b0\u8bc4\u4f30\u5176\u5148\u524d\u6b65\u9aa4\u2014\u2014\u4ee5\u53ca\u63a2\u7d22\u66ff\u4ee3\u95ee\u9898\u89e3\u51b3\u65b9\u6cd5\u7684\u80fd\u529b\u81ea\u53d1\u5730\u51fa\u73b0\u3002\u8fd9\u4e9b\u884c\u4e3a\u5e76\u4e0d\u662f\u663e\u5f0f\u7f16\u7a0b\u7684\u7ed3\u679c\uff0c\u800c\u662f\u6a21\u578b\u4e0e\u5f3a\u5316\u5b66\u4e60\u73af\u5883\u4ea4\u4e92\u7684\u7ed3\u679c\u3002\u8fd9\u79cd\u81ea\u53d1\u7684\u53d1\u5c55\u663e\u8457\u589e\u5f3a\u4e86 DeepSeek-R1-Zero \u7684\u63a8\u7406\u80fd\u529b\uff0c\u4f7f\u5176\u80fd\u591f\u66f4\u9ad8\u6548\u3001\u66f4\u51c6\u786e\u5730\u5e94\u5bf9\u66f4\u5177\u6311\u6218\u6027\u7684\u4efb\u52a1\u3002<\/p>\n\n\n\n

            DeepSeek-R1-Zero \u7684\u201c\u987f\u609f\u201d\u65f6\u523b<\/strong>
            \u5728 DeepSeek-R1-Zero \u7684\u8bad\u7ec3\u8fc7\u7a0b\u4e2d\u89c2\u5bdf\u5230\u7684\u4e00\u4e2a\u7279\u522b\u6709\u8da3\u7684\u73b0\u8c61\u662f\u201c\u987f\u609f\u201d\u65f6\u523b\u7684\u51fa\u73b0\u3002\u8fd9\u4e00\u65f6\u523b\u53d1\u751f\u5728\u6a21\u578b\u7684\u4e00\u4e2a\u4e2d\u95f4\u7248\u672c\u4e2d\u3002\u5728\u8fd9\u4e00\u9636\u6bb5\uff0cDeepSeek-R1-Zero \u5b66\u4f1a\u4e86\u901a\u8fc7\u91cd\u65b0\u8bc4\u4f30\u5176\u521d\u59cb\u65b9\u6cd5\u6765\u4e3a\u95ee\u9898\u5206\u914d\u66f4\u591a\u7684\u601d\u8003\u65f6\u95f4\u3002\u8fd9\u79cd\u884c\u4e3a\u4e0d\u4ec5\u8bc1\u660e\u4e86\u6a21\u578b\u63a8\u7406\u80fd\u529b\u7684\u63d0\u5347\uff0c\u4e5f\u662f\u5f3a\u5316\u5b66\u4e60\u5982\u4f55\u5bfc\u81f4\u610f\u60f3\u4e0d\u5230\u548c\u590d\u6742\u7ed3\u679c\u7684\u8ff7\u4eba\u793a\u4f8b\u3002<\/p>\n\n\n\n

            \u8fd9\u4e00\u65f6\u523b\u4e0d\u4ec5\u662f\u6a21\u578b\u7684\u201c\u987f\u609f\u201d\uff0c\u4e5f\u662f\u89c2\u5bdf\u5176\u884c\u4e3a\u7684\u7814\u7a76\u8005\u7684\u201c\u987f\u609f\u201d\u3002\u5b83\u5f3a\u8c03\u4e86\u5f3a\u5316\u5b66\u4e60\u7684\u529b\u91cf\u548c\u7f8e\u4e3d\uff1a\u6211\u4eec\u5e76\u4e0d\u662f\u660e\u786e\u6559\u5bfc\u6a21\u578b\u5982\u4f55\u89e3\u51b3\u95ee\u9898\uff0c\u800c\u662f\u7b80\u5355\u5730\u4e3a\u5176\u63d0\u4f9b\u6b63\u786e\u7684\u6fc0\u52b1\uff0c\u6a21\u578b\u4fbf\u81ea\u4e3b\u53d1\u5c55\u51fa\u5148\u8fdb\u7684\u95ee\u9898\u89e3\u51b3\u7b56\u7565\u3002\u201c\u987f\u609f\u201d\u65f6\u523b\u5f3a\u6709\u529b\u5730\u63d0\u9192\u6211\u4eec\uff0cRL \u6709\u6f5c\u529b\u89e3\u9501\u4eba\u5de5\u7cfb\u7edf\u7684\u65b0\u667a\u80fd\u6c34\u5e73\uff0c\u4e3a\u672a\u6765\u66f4\u81ea\u4e3b\u548c\u9002\u5e94\u6027\u7684\u6a21\u578b\u94fa\u5e73\u9053\u8def\u3002<\/p>\n\n\n\n

            DeepSeek-R1-Zero \u7684\u7f3a\u70b9<\/strong>
            \u5c3d\u7ba1 DeepSeek-R1-Zero \u5c55\u73b0\u4e86\u5f3a\u5927\u7684\u63a8\u7406\u80fd\u529b\uff0c\u5e76\u81ea\u4e3b\u53d1\u5c55\u51fa\u610f\u60f3\u4e0d\u5230\u548c\u5f3a\u5927\u7684\u63a8\u7406\u884c\u4e3a\uff0c\u4f46\u5b83\u9762\u4e34\u7740\u4e00\u4e9b\u95ee\u9898\u3002\u4f8b\u5982\uff0cDeepSeek-R1-Zero \u5728\u53ef\u8bfb\u6027\u5dee\u548c\u8bed\u8a00\u6df7\u5408\u7b49\u6311\u6218\u4e0a\u5b58\u5728\u56f0\u96be\u3002\u4e3a\u4e86\u4f7f\u63a8\u7406\u8fc7\u7a0b\u66f4\u5177\u53ef\u8bfb\u6027\u5e76\u4e0e\u5f00\u653e\u793e\u533a\u5206\u4eab\uff0c\u6211\u4eec\u63a2\u7d22\u4e86 DeepSeek-R1\uff0c\u8fd9\u662f\u4e00\u79cd\u5229\u7528 RL \u4e0e\u4eba\u7c7b\u53cb\u597d\u7684\u51b7\u542f\u52a8\u6570\u636e\u7684\u65b9\u6cd5\u3002<\/p>\n\n\n\n

            2.3. DeepSeek-R1\uff1a\u5e26\u6709\u51b7\u542f\u52a8\u7684\u5f3a\u5316\u5b66\u4e60<\/strong>
            \u53d7\u5230 DeepSeek-R1-Zero \u7684\u826f\u597d\u7ed3\u679c\u7684\u542f\u53d1\uff0c\u81ea\u7136\u4ea7\u751f\u4e86\u4e24\u4e2a\u95ee\u9898\uff1a1\uff09\u901a\u8fc7\u52a0\u5165\u5c11\u91cf\u9ad8\u8d28\u91cf\u6570\u636e\u4f5c\u4e3a\u51b7\u542f\u52a8\uff0c\u63a8\u7406\u6027\u80fd\u662f\u5426\u53ef\u4ee5\u8fdb\u4e00\u6b65\u63d0\u9ad8\u6216\u6536\u655b\u52a0\u901f\uff1f2\uff09\u6211\u4eec\u5982\u4f55\u8bad\u7ec3\u4e00\u4e2a\u7528\u6237\u53cb\u597d\u7684\u6a21\u578b\uff0c\u4e0d\u4ec5\u80fd\u751f\u6210\u6e05\u6670\u8fde\u8d2f\u7684\u601d\u7ef4\u94fe\uff08CoT\uff09\uff0c\u8fd8\u80fd\u591f\u5c55\u793a\u51fa\u5f3a\u5927\u7684\u901a\u7528\u80fd\u529b\uff1f\u4e3a\u4e86\u89e3\u51b3\u8fd9\u4e9b\u95ee\u9898\uff0c\u6211\u4eec\u8bbe\u8ba1\u4e86\u4e00\u4e2a\u8bad\u7ec3 DeepSeek-R1 \u7684\u6d41\u7a0b\u3002\u8be5\u6d41\u7a0b\u5305\u62ec\u56db\u4e2a\u9636\u6bb5\uff0c\u5177\u4f53\u5982\u4e0b\u3002<\/p>\n\n\n\n

            2.3.1. \u51b7\u542f\u52a8<\/strong>
            \u4e0e DeepSeek-R1-Zero \u4e0d\u540c\uff0c\u4e3a\u4e86\u9632\u6b62 RL \u8bad\u7ec3\u521d\u671f\u7684\u4e0d\u7a33\u5b9a\u51b7\u542f\u52a8\u9636\u6bb5\uff0c\u6211\u4eec\u4e3a DeepSeek-R1 \u6784\u5efa\u5e76\u6536\u96c6\u4e86\u4e00\u5c0f\u90e8\u5206\u957f CoT \u6570\u636e\uff0c\u4ee5\u5fae\u8c03\u6a21\u578b\u4f5c\u4e3a\u521d\u59cb RL \u6f14\u5458\u3002\u4e3a\u4e86\u6536\u96c6\u8fd9\u4e9b\u6570\u636e\uff0c\u6211\u4eec\u63a2\u7d22\u4e86\u51e0\u79cd\u65b9\u6cd5\uff1a\u4f7f\u7528\u5c11\u91cf\u793a\u4f8b\u7684\u957f CoT \u8fdb\u884c\u63d0\u793a\uff0c\u76f4\u63a5\u63d0\u793a\u6a21\u578b\u751f\u6210\u8be6\u7ec6\u7b54\u6848\u5e76\u8fdb\u884c\u53cd\u601d\u548c\u9a8c\u8bc1\uff0c\u6536\u96c6 DeepSeek-R1-Zero \u7684\u53ef\u8bfb\u683c\u5f0f\u8f93\u51fa\uff0c\u5e76\u901a\u8fc7\u4eba\u5de5\u6ce8\u91ca\u8005\u8fdb\u884c\u540e\u5904\u7406\u6765\u7cbe\u70bc\u7ed3\u679c\u3002<\/p>\n\n\n\n

            \u5728\u672c\u7814\u7a76\u4e2d\uff0c\u6211\u4eec\u6536\u96c6\u4e86\u6570\u5343\u6761\u51b7\u542f\u52a8\u6570\u636e\uff0c\u4ee5\u5fae\u8c03 DeepSeek-V3-Base \u4f5c\u4e3a RL \u7684\u8d77\u70b9\u3002\u4e0e DeepSeek-R1-Zero \u76f8\u6bd4\uff0c\u51b7\u542f\u52a8\u6570\u636e\u7684\u4f18\u52bf\u5305\u62ec\uff1a<\/p>\n\n\n\n

              \n
            • \u53ef\u8bfb\u6027<\/strong>\uff1aDeepSeek-R1-Zero \u7684\u4e00\u4e2a\u5173\u952e\u9650\u5236\u662f\u5176\u5185\u5bb9\u5f80\u5f80\u4e0d\u9002\u5408\u9605\u8bfb\u3002\u54cd\u5e94\u53ef\u80fd\u6df7\u5408\u591a\u79cd\u8bed\u8a00\u6216\u7f3a\u4e4f\u7a81\u51fa\u7b54\u6848\u7684 Markdown \u683c\u5f0f\u3002\u76f8\u6bd4\u4e4b\u4e0b\uff0c\u5728\u4e3a DeepSeek-R1 \u521b\u5efa\u51b7\u542f\u52a8\u6570\u636e\u65f6\uff0c\u6211\u4eec\u8bbe\u8ba1\u4e86\u4e00\u4e2a\u53ef\u8bfb\u7684\u6a21\u5f0f\uff0c\u5728\u6bcf\u4e2a\u54cd\u5e94\u7684\u672b\u5c3e\u5305\u542b\u6458\u8981\uff0c\u5e76\u8fc7\u6ee4\u6389\u4e0d\u9002\u5408\u9605\u8bfb\u7684\u54cd\u5e94\u3002\u6211\u4eec\u5728\u6b64\u5b9a\u4e49\u8f93\u51fa\u683c\u5f0f\u4e3a|special_token|<reasoning_process>|special_token|<summary>\uff0c\u5176\u4e2d\u63a8\u7406\u8fc7\u7a0b\u662f\u67e5\u8be2\u7684 CoT\uff0c\u6458\u8981\u7528\u4e8e\u603b\u7ed3\u63a8\u7406\u7ed3\u679c\u3002<\/li>\n\n\n\n
            • \u6f5c\u529b<\/strong>\uff1a\u901a\u8fc7\u7cbe\u5fc3\u8bbe\u8ba1\u51b7\u542f\u52a8\u6570\u636e\u7684\u6a21\u5f0f\u5e76\u7ed3\u5408\u4eba\u7c7b\u5148\u9a8c\uff0c\u6211\u4eec\u89c2\u5bdf\u5230\u76f8\u8f83\u4e8e DeepSeek-R1-Zero \u7684\u66f4\u597d\u8868\u73b0\u3002\u6211\u4eec\u76f8\u4fe1\u8fed\u4ee3\u8bad\u7ec3\u662f\u63a8\u7406\u6a21\u578b\u7684\u66f4\u597d\u65b9\u6cd5\u3002<\/li>\n<\/ul>\n\n\n\n

              2.3.2. \u9762\u5411\u63a8\u7406\u7684\u5f3a\u5316\u5b66\u4e60<\/strong>
              \u5728\u5bf9 DeepSeek-V3-Base \u8fdb\u884c\u51b7\u542f\u52a8\u6570\u636e\u7684\u5fae\u8c03\u540e\uff0c\u6211\u4eec\u5e94\u7528\u4e0e DeepSeek-R1-Zero \u76f8\u540c\u7684\u5927\u89c4\u6a21\u5f3a\u5316\u5b66\u4e60\u8bad\u7ec3\u8fc7\u7a0b\u3002\u8fd9\u4e2a\u9636\u6bb5\u7684\u91cd\u70b9\u662f\u589e\u5f3a\u6a21\u578b\u7684\u63a8\u7406\u80fd\u529b\uff0c\u7279\u522b\u662f\u5728\u7f16\u7801\u3001\u6570\u5b66\u3001\u79d1\u5b66\u548c\u903b\u8f91\u63a8\u7406\u7b49\u63a8\u7406\u5bc6\u96c6\u578b\u4efb\u52a1\u4e2d\uff0c\u8fd9\u4e9b\u4efb\u52a1\u6d89\u53ca\u5b9a\u4e49\u660e\u786e\u4e14\u89e3\u51b3\u65b9\u6848\u6e05\u6670\u7684\u95ee\u9898\u3002\u5728\u8bad\u7ec3\u8fc7\u7a0b\u4e2d\uff0c\u6211\u4eec\u89c2\u5bdf\u5230 CoT\uff08\u601d\u7ef4\u94fe\uff09\u7ecf\u5e38\u8868\u73b0\u51fa\u8bed\u8a00\u6df7\u5408\uff0c\u7279\u522b\u662f\u5728 RL \u63d0\u793a\u6d89\u53ca\u591a\u79cd\u8bed\u8a00\u65f6\u3002\u4e3a\u4e86\u7f13\u89e3\u8bed\u8a00\u6df7\u5408\u7684\u95ee\u9898\uff0c\u6211\u4eec\u5728 RL \u8bad\u7ec3\u4e2d\u5f15\u5165\u4e86\u8bed\u8a00\u4e00\u81f4\u6027\u5956\u52b1\uff0c\u8be5\u5956\u52b1\u662f\u6839\u636e CoT \u4e2d\u76ee\u6807\u8bed\u8a00\u5355\u8bcd\u7684\u6bd4\u4f8b\u8ba1\u7b97\u7684\u3002\u5c3d\u7ba1\u6d88\u878d\u5b9e\u9a8c\u8868\u660e\uff0c\u8fd9\u79cd\u5bf9\u9f50\u4f1a\u5bfc\u81f4\u6a21\u578b\u6027\u80fd\u7684\u8f7b\u5fae\u4e0b\u964d\uff0c\u4f46\u8be5\u5956\u52b1\u4e0e\u4eba\u7c7b\u504f\u597d\u4e00\u81f4\uff0c\u4f7f\u5176\u66f4\u5177\u53ef\u8bfb\u6027\u3002\u6700\u540e\uff0c\u6211\u4eec\u901a\u8fc7\u76f4\u63a5\u76f8\u52a0\u63a8\u7406\u4efb\u52a1\u7684\u51c6\u786e\u6027\u548c\u8bed\u8a00\u4e00\u81f4\u6027\u5956\u52b1\u6765\u5f62\u6210\u6700\u7ec8\u5956\u52b1\u3002\u7136\u540e\uff0c\u6211\u4eec\u5728\u5fae\u8c03\u540e\u7684\u6a21\u578b\u4e0a\u5e94\u7528 RL \u8bad\u7ec3\uff0c\u76f4\u5230\u5176\u5728\u63a8\u7406\u4efb\u52a1\u4e0a\u8fbe\u5230\u6536\u655b\u3002<\/p>\n\n\n\n

              2.3.3. \u62d2\u7edd\u91c7\u6837\u548c\u76d1\u7763\u5fae\u8c03<\/strong>
              \u5f53\u9762\u5411\u63a8\u7406\u7684 RL \u6536\u655b\u65f6\uff0c\u6211\u4eec\u5229\u7528\u751f\u6210\u7684\u68c0\u67e5\u70b9\u6536\u96c6 SFT\uff08\u76d1\u7763\u5fae\u8c03\uff09\u6570\u636e\u4ee5\u8fdb\u884c\u4e0b\u4e00\u8f6e\u3002\u4e0e\u6700\u521d\u4e3b\u8981\u5173\u6ce8\u63a8\u7406\u7684\u51b7\u542f\u52a8\u6570\u636e\u4e0d\u540c\uff0c\u8fd9\u4e2a\u9636\u6bb5\u7ed3\u5408\u4e86\u6765\u81ea\u5176\u4ed6\u9886\u57df\u7684\u6570\u636e\uff0c\u4ee5\u589e\u5f3a\u6a21\u578b\u5728\u5199\u4f5c\u3001\u89d2\u8272\u626e\u6f14\u548c\u5176\u4ed6\u901a\u7528\u4efb\u52a1\u4e2d\u7684\u80fd\u529b\u3002\u5177\u4f53\u800c\u8a00\uff0c\u6211\u4eec\u751f\u6210\u6570\u636e\u5e76\u5bf9\u6a21\u578b\u8fdb\u884c\u5fae\u8c03\uff0c\u5982\u4e0b\u6240\u8ff0\u3002
              \u63a8\u7406\u6570\u636e \u6211\u4eec\u7b56\u5212\u63a8\u7406\u63d0\u793a\uff0c\u5e76\u901a\u8fc7\u5bf9\u4e0a\u8ff0 RL \u8bad\u7ec3\u7684\u68c0\u67e5\u70b9\u8fdb\u884c\u62d2\u7edd\u91c7\u6837\u6765\u751f\u6210\u63a8\u7406\u8f68\u8ff9\u3002\u5728\u524d\u4e00\u4e2a\u9636\u6bb5\uff0c\u6211\u4eec\u53ea\u5305\u62ec\u53ef\u4ee5\u4f7f\u7528\u57fa\u4e8e\u89c4\u5219\u7684\u5956\u52b1\u8fdb\u884c\u8bc4\u4f30\u7684\u6570\u636e\u3002\u7136\u800c\uff0c\u5728\u8fd9\u4e2a\u9636\u6bb5\uff0c\u6211\u4eec\u901a\u8fc7\u5f15\u5165\u989d\u5916\u6570\u636e\u6765\u6269\u5c55\u6570\u636e\u96c6\uff0c\u5176\u4e2d\u4e00\u4e9b\u6570\u636e\u4f7f\u7528\u751f\u6210\u5956\u52b1\u6a21\u578b\uff0c\u901a\u8fc7\u5c06\u771f\u5b9e\u503c\u548c\u6a21\u578b\u9884\u6d4b\u8f93\u5165 DeepSeek-V3 \u8fdb\u884c\u5224\u65ad\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\u6df7\u5408\u8bed\u8a00\u7684\u601d\u7ef4\u94fe\u3001\u5197\u957f\u7684\u6bb5\u843d\u548c\u4ee3\u7801\u5757\u3002\u5bf9\u4e8e\u6bcf\u4e2a\u63d0\u793a\uff0c\u6211\u4eec\u91c7\u6837\u591a\u4e2a\u54cd\u5e94\uff0c\u4ec5\u4fdd\u7559\u6b63\u786e\u7684\u54cd\u5e94\u3002\u603b\u5171\uff0c\u6211\u4eec\u6536\u96c6\u4e86\u5927\u7ea6 60 \u4e07\u4e2a\u4e0e\u63a8\u7406\u76f8\u5173\u7684\u8bad\u7ec3\u6837\u672c\u3002
              \u975e\u63a8\u7406\u6570\u636e \u5bf9\u4e8e\u975e\u63a8\u7406\u6570\u636e\uff0c\u5982\u5199\u4f5c\u3001\u4e8b\u5b9e\u95ee\u7b54\u3001\u81ea\u6211\u8ba4\u77e5\u548c\u7ffb\u8bd1\uff0c\u6211\u4eec\u91c7\u7528 DeepSeek-V3 \u6d41\u7a0b\uff0c\u5e76\u91cd\u7528 DeepSeek-V3 \u7684\u90e8\u5206 SFT \u6570\u636e\u96c6\u3002\u5bf9\u4e8e\u67d0\u4e9b\u975e\u63a8\u7406\u4efb\u52a1\uff0c\u6211\u4eec\u8c03\u7528 DeepSeek-V3 \u5728\u56de\u7b54\u95ee\u9898\u4e4b\u524d\u751f\u6210\u6f5c\u5728\u7684\u601d\u7ef4\u94fe\u3002\u7136\u800c\uff0c\u5bf9\u4e8e\u66f4\u7b80\u5355\u7684\u67e5\u8be2\uff0c\u5982\u201c\u4f60\u597d\u201d\uff0c\u6211\u4eec\u4e0d\u4f1a\u63d0\u4f9b\u601d\u7ef4\u94fe\u4f5c\u4e3a\u56de\u5e94\u3002\u6700\u7ec8\uff0c\u6211\u4eec\u6536\u96c6\u4e86\u5927\u7ea6 20 \u4e07\u4e2a\u4e0e\u63a8\u7406\u65e0\u5173\u7684\u8bad\u7ec3\u6837\u672c\u3002
              \u6211\u4eec\u4f7f\u7528\u4e0a\u8ff0\u7b56\u5212\u7684\u6570\u636e\u96c6\uff08\u7ea6 80 \u4e07\u4e2a\u6837\u672c\uff09\u5bf9 DeepSeek-V3-Base \u8fdb\u884c\u4e86\u4e24\u8f6e\u5fae\u8c03\u3002<\/p>\n\n\n\n

              2.3.4. \u9762\u5411\u6240\u6709\u573a\u666f\u7684\u5f3a\u5316\u5b66\u4e60<\/strong>
              \u4e3a\u4e86\u8fdb\u4e00\u6b65\u4f7f\u6a21\u578b\u4e0e\u4eba\u7c7b\u504f\u597d\u5bf9\u9f50\uff0c\u6211\u4eec\u5b9e\u65bd\u4e86\u4e00\u4e2a\u4e8c\u6b21\u5f3a\u5316\u5b66\u4e60\u9636\u6bb5\uff0c\u65e8\u5728\u63d0\u9ad8\u6a21\u578b\u7684\u6709\u7528\u6027\u548c\u65e0\u5bb3\u6027\uff0c\u540c\u65f6\u7cbe\u70bc\u5176\u63a8\u7406\u80fd\u529b\u3002\u5177\u4f53\u800c\u8a00\uff0c\u6211\u4eec\u4f7f\u7528\u5956\u52b1\u4fe1\u53f7\u548c\u591a\u6837\u5316\u63d0\u793a\u5206\u5e03\u7684\u7ec4\u5408\u6765\u8bad\u7ec3\u6a21\u578b\u3002\u5bf9\u4e8e\u63a8\u7406\u6570\u636e\uff0c\u6211\u4eec\u9075\u5faa DeepSeek-R1-Zero \u4e2d\u6982\u8ff0\u7684\u65b9\u6cd5\uff0c\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\u4f9d\u9760\u5956\u52b1\u6a21\u578b\u6765\u6355\u6349\u590d\u6742\u548c\u7ec6\u5fae\u573a\u666f\u4e2d\u7684\u4eba\u7c7b\u504f\u597d\u3002\u6211\u4eec\u5728 DeepSeek-V3 \u6d41\u7a0b\u7684\u57fa\u7840\u4e0a\uff0c\u91c7\u7528\u7c7b\u4f3c\u7684\u504f\u597d\u5bf9\u548c\u8bad\u7ec3\u63d0\u793a\u5206\u5e03\u3002\u5bf9\u4e8e\u6709\u7528\u6027\uff0c\u6211\u4eec\u4e13\u6ce8\u4e8e\u6700\u7ec8\u603b\u7ed3\uff0c\u786e\u4fdd\u8bc4\u4f30\u5f3a\u8c03\u54cd\u5e94\u5bf9\u7528\u6237\u7684\u5b9e\u7528\u6027\u548c\u76f8\u5173\u6027\uff0c\u540c\u65f6\u6700\u5c0f\u5316\u5bf9\u57fa\u7840\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\u603b\u7ed3\uff0c\u4ee5\u8bc6\u522b\u548c\u7f13\u89e3\u5728\u751f\u6210\u8fc7\u7a0b\u4e2d\u53ef\u80fd\u51fa\u73b0\u7684\u4efb\u4f55\u6f5c\u5728\u98ce\u9669\u3001\u504f\u89c1\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\u51fa\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\n\n\n

              2.4. \u84b8\u998f\uff1a\u8d4b\u4e88\u5c0f\u6a21\u578b\u63a8\u7406\u80fd\u529b<\/strong>
              \u4e3a\u4e86\u4f7f\u66f4\u9ad8\u6548\u7684\u5c0f\u6a21\u578b\u5177\u5907\u7c7b\u4f3c DeepSeek-R1 \u7684\u63a8\u7406\u80fd\u529b\uff0c\u6211\u4eec\u76f4\u63a5\u5bf9\u5f00\u6e90\u6a21\u578b\uff08\u5982 Qwen \u548c Llama\uff09\u8fdb\u884c\u5fae\u8c03\uff0c\u4f7f\u7528\u4e0e DeepSeek-R1 \u7b56\u5212\u7684 80 \u4e07\u4e2a\u6837\u672c\uff0c\u5982 \u00a72.3.3 \u4e2d\u8be6\u7ec6\u8bf4\u660e\u7684\u3002\u6211\u4eec\u7684\u7814\u7a76\u7ed3\u679c\u8868\u660e\uff0c\u8fd9\u79cd\u7b80\u5355\u7684\u84b8\u998f\u65b9\u6cd5\u663e\u8457\u589e\u5f3a\u4e86\u5c0f\u6a21\u578b\u7684\u63a8\u7406\u80fd\u529b\u3002\u6211\u4eec\u5728\u8fd9\u91cc\u4f7f\u7528\u7684\u57fa\u7840\u6a21\u578b\u5305\u62ec Qwen2.5-Math-1.5B \u3001Qwen2.5-Math-7B \u3001Qwen2.5-14B \u3001Qwen2.5-32B \u3001Llama-3.1-8B \u548c Llama-3.3-70B-Instruct \u3002\u6211\u4eec\u9009\u62e9 Llama-3.3\uff0c\u56e0\u4e3a\u5b83\u7684\u63a8\u7406\u80fd\u529b\u7565\u4f18\u4e8e Llama-3.1 \u3002
              \u5bf9\u4e8e\u84b8\u998f\u6a21\u578b\uff0c\u6211\u4eec\u4ec5\u5e94\u7528 SFT\uff0c\u800c\u4e0d\u5305\u62ec RL \u9636\u6bb5\uff0c\u5c3d\u7ba1\u7eb3\u5165 RL \u53ef\u80fd\u4f1a\u663e\u8457\u63d0\u5347\u6a21\u578b\u6027\u80fd\u3002\u6211\u4eec\u5728\u8fd9\u91cc\u7684\u4e3b\u8981\u76ee\u6807\u662f\u5c55\u793a\u84b8\u998f\u6280\u672f\u7684\u6709\u6548\u6027\uff0c\u5c06 RL \u9636\u6bb5\u7684\u63a2\u7d22\u7559\u7ed9\u66f4\u5e7f\u6cdb\u7684\u7814\u7a76\u793e\u533a\u3002<\/p>\n\n\n\n

                \n
              1. \u5b9e\u9a8c<\/strong>
                \u57fa\u51c6\u6d4b\u8bd5 \u6211\u4eec\u5728 MMLU\uff08Hendrycks et al., 2020\uff09\u3001MMLU-Redux\uff08Gema et al., 2024\uff09\u3001MMLU-Pro\uff08Wang et al., 2024\uff09\u3001C-Eval\uff08Huang et al., 2023\uff09\u3001CMMLU\uff08Li et al., 2023\uff09\u3001IFEval\uff08Zhou et al., 2023\uff09\u3001FRAMES\uff08Krishna et al., 2024\uff09\u3001GPQA Diamond\uff08Rein et al., 2023\uff09\u3001SimpleQA\uff08OpenAI, 2024c\uff09\u3001C-SimpleQA\uff08He et al., 2024\uff09\u3001SWE-Bench Verified\uff08OpenAI, 2024d\uff09\u3001Aider 1\u3001LiveCodeBench\uff08Jain et al., 2024\uff09\uff082024-08 \u2013 2025-01\uff09\u3001Codeforces 2\u3001\u4e2d\u56fd\u5168\u56fd\u9ad8\u4e2d\u6570\u5b66\u5965\u6797\u5339\u514b\uff08CNMO 2024\uff093\uff0c\u4ee5\u53ca\u7f8e\u56fd\u9080\u8bf7\u6570\u5b66\u8003\u8bd5 2024\uff08AIME 2024\uff09\uff08MAA, 2024\uff09\u4e0a\u8bc4\u4f30\u6a21\u578b\u3002\u9664\u4e86\u6807\u51c6\u57fa\u51c6\u6d4b\u8bd5\u5916\uff0c\u6211\u4eec\u8fd8\u4f7f\u7528 LLM \u4f5c\u4e3a\u8bc4\u5ba1\u5bf9\u5f00\u653e\u5f0f\u751f\u6210\u4efb\u52a1\u8fdb\u884c\u8bc4\u4f30\u3002\u5177\u4f53\u800c\u8a00\uff0c\u6211\u4eec\u9075\u5faa AlpacaEval 2.0\uff08Dubois et al., 2024\uff09\u548c Arena-Hard\uff08Li et al., 2024\uff09\u7684\u539f\u59cb\u914d\u7f6e\uff0c\u8fd9\u4e9b\u914d\u7f6e\u5229\u7528 GPT-4-Turbo-1106 \u4f5c\u4e3a\u6210\u5bf9\u6bd4\u8f83\u7684\u8bc4\u5ba1\u3002\u5728\u8fd9\u91cc\uff0c\u6211\u4eec\u4ec5\u5c06\u6700\u7ec8\u6458\u8981\u8f93\u5165\u8bc4\u4f30\uff0c\u4ee5\u907f\u514d\u957f\u5ea6\u504f\u5dee\u3002\u5bf9\u4e8e\u84b8\u998f\u6a21\u578b\uff0c\u6211\u4eec\u62a5\u544a AIME 2024\u3001MATH-500\u3001GPQA Diamond\u3001Codeforces \u548c LiveCodeBench \u7684\u4ee3\u8868\u6027\u7ed3\u679c\u3002<\/li>\n<\/ol>\n\n\n\n

                \u8bc4\u4f30\u63d0\u793a \u6839\u636e DeepSeek-V3 \u7684\u8bbe\u7f6e\uff0c\u6807\u51c6\u57fa\u51c6\u6d4b\u8bd5\uff08\u5982 MMLU\u3001DROP\u3001GPQA Diamond \u548c SimpleQA\uff09\u4f7f\u7528\u6765\u81ea simpleevals \u6846\u67b6\u7684\u63d0\u793a\u8fdb\u884c\u8bc4\u4f30\u3002\u5bf9\u4e8e MMLU-Redux\uff0c\u6211\u4eec\u5728\u96f6\u6837\u672c\u8bbe\u7f6e\u4e2d\u91c7\u7528 Zero-Eval \u63d0\u793a\u683c\u5f0f\uff08Lin, 2024\uff09\u3002\u81f3\u4e8e MMLU-Pro\u3001C-Eval \u548c CLUE-WSC\uff0c\u7531\u4e8e\u539f\u59cb\u63d0\u793a\u662f\u5c11\u6837\u672c\u7684\uff0c\u6211\u4eec\u7a0d\u5fae\u4fee\u6539\u63d0\u793a\u4ee5\u9002\u5e94\u96f6\u6837\u672c\u8bbe\u7f6e\u3002\u5c11\u6837\u672c\u4e2d\u7684\u601d\u7ef4\u94fe\u53ef\u80fd\u4f1a\u5f71\u54cd DeepSeek-R1 \u7684\u6027\u80fd\u3002\u5176\u4ed6\u6570\u636e\u96c6\u9075\u5faa\u5176\u539f\u59cb\u8bc4\u4f30\u534f\u8bae\uff0c\u4f7f\u7528\u5176\u521b\u5efa\u8005\u63d0\u4f9b\u7684\u9ed8\u8ba4\u63d0\u793a\u3002\u5bf9\u4e8e\u4ee3\u7801\u548c\u6570\u5b66\u57fa\u51c6\uff0cHumanEval-Mul \u6570\u636e\u96c6\u6db5\u76d6\u516b\u79cd\u4e3b\u6d41\u7f16\u7a0b\u8bed\u8a00\uff08Python\u3001Java\u3001C++\u3001C#\u3001JavaScript\u3001TypeScript\u3001PHP \u548c Bash\uff09\u3002LiveCodeBench \u4e0a\u7684\u6a21\u578b\u6027\u80fd\u4f7f\u7528\u601d\u7ef4\u94fe\u683c\u5f0f\u8fdb\u884c\u8bc4\u4f30\uff0c\u6570\u636e\u6536\u96c6\u65f6\u95f4\u4e3a 2024 \u5e74 8 \u6708\u81f3 2025 \u5e74 1 \u6708\u3002Codeforces \u6570\u636e\u96c6\u4f7f\u7528\u6765\u81ea 10 \u4e2a Div.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\u8bc4\u7ea7\u548c\u7ade\u4e89\u8005\u7684\u767e\u5206\u6bd4\u3002SWE-Bench \u9a8c\u8bc1\u7ed3\u679c\u901a\u8fc7\u65e0\u4ee3\u7406\u6846\u67b6\u83b7\u5f97\uff08Xia et al., 2024\uff09\u3002\u4e0e AIDER \u76f8\u5173\u7684\u57fa\u51c6\u4f7f\u7528\u201cdiff\u201d\u683c\u5f0f\u8fdb\u884c\u6d4b\u91cf\u3002DeepSeek-R1 \u7684\u8f93\u51fa\u5728\u6bcf\u4e2a\u57fa\u51c6\u4e0a\u9650\u5236\u4e3a\u6700\u591a 32,768 \u4e2a\u6807\u8bb0\u3002<\/p>\n\n\n\n

                \u57fa\u7ebf \u6211\u4eec\u5bf9\u51e0\u4e2a\u5f3a\u57fa\u7ebf\u8fdb\u884c\u4e86\u5168\u9762\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\u95ee OpenAI-o1-1217 API \u8f83\u4e3a\u56f0\u96be\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\uff08Qwen, 2024a\uff09\u3002<\/p>\n\n\n\n

                \u8bc4\u4f30\u8bbe\u7f6e \u6211\u4eec\u5c06\u6a21\u578b\u7684\u6700\u5927\u751f\u6210\u957f\u5ea6\u8bbe\u7f6e\u4e3a 32,768 \u4e2a\u6807\u8bb0\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\u548c\u4e0d\u540c\u68c0\u67e5\u70b9\u4e4b\u95f4\u7684\u663e\u8457\u53d8\u5f02\u3002\u56e0\u6b64\uff0c\u6211\u4eec\u9ed8\u8ba4\u4f7f\u7528 pass@\ud835\udc58 \u8bc4\u4f30\uff08Chen et al., 2021\uff09\uff0c\u5e76\u4f7f\u7528\u975e\u96f6\u6e29\u5ea6\u62a5\u544a pass@1\u3002\u5177\u4f53\u800c\u8a00\uff0c\u6211\u4eec\u4f7f\u7528 0.6 \u7684\u91c7\u6837\u6e29\u5ea6\u548c 0.95 \u7684 top-\ud835\udc5d \u503c\u4e3a\u6bcf\u4e2a\u95ee\u9898\u751f\u6210 \ud835\udc58 \u4e2a\u54cd\u5e94\uff08\u901a\u5e38\u5728 4 \u5230 64 \u4e4b\u95f4\uff0c\u5177\u4f53\u53d6\u51b3\u4e8e\u6d4b\u8bd5\u96c6\u7684\u5927\u5c0f\uff09\u3002\u7136\u540e\u8ba1\u7b97 pass@1 \u4e3a\uff1a
                [
                \\text{pass@1} = \\frac{1}{k} \\sum_{i=1}^{k} p_i
                ]
                \u5176\u4e2d ( p_i ) \u8868\u793a\u7b2c ( i ) \u4e2a\u54cd\u5e94\u7684\u6b63\u786e\u6027\u3002\u8be5\u65b9\u6cd5\u63d0\u4f9b\u4e86\u66f4\u53ef\u9760\u7684\u6027\u80fd\u4f30\u8ba1\u3002\u5bf9\u4e8e AIME 2024\uff0c\u6211\u4eec\u8fd8\u62a5\u544a\u4e86\u5171\u8bc6\uff08\u591a\u6570\u6295\u7968\uff09\u7ed3\u679c\uff08Wang et al., 2022\uff09\uff0c\u4f7f\u7528 64 \u4e2a\u6837\u672c\uff0c\u8868\u793a\u4e3a cons@64\u3002<\/p>\n\n\n\n

                3.1. DeepSeek-R1 \u8bc4\u4f30<\/p>\n\n\n\n

                \u57fa\u51c6\uff08\u6307\u6807\uff09<\/th>Claude-3.5-1022<\/th>GPT-4o-0513<\/th>DeepSeek-V3<\/th>OpenAI-o1-mini<\/th>OpenAI-o1-1217<\/th>DeepSeek-R1<\/th><\/tr><\/thead>
                \u67b6\u6784<\/td>–<\/td>–<\/td>MoE<\/td>–<\/td>–<\/td>MoE<\/td><\/tr>
                \u6fc0\u6d3b\u53c2\u6570\u6570\u91cf<\/td>–<\/td>–<\/td>37B<\/td>–<\/td>–<\/td>37B<\/td><\/tr>
                \u603b\u53c2\u6570\u6570\u91cf<\/td>–<\/td>–<\/td>671B<\/td>–<\/td>–<\/td>671B<\/td><\/tr>
                \u82f1\u8bed<\/strong><\/td><\/td><\/td><\/td><\/td><\/td><\/td><\/tr>
                MMLU (Pass@1)<\/td>88.3<\/td>87.2<\/td>88.5<\/td>85.2<\/td>91.8<\/td>90.8<\/td><\/tr>
                MMLU-Redux (EM)<\/td>88.9<\/td>88.0<\/td>89.1<\/td>86.7<\/td>–<\/td>92.9<\/td><\/tr>
                MMLU-Pro (EM)<\/td>78.0<\/td>72.6<\/td>75.9<\/td>80.3<\/td>–<\/td>84.0<\/td><\/tr>
                DROP (3-shot F1)<\/td>88.3<\/td>83.7<\/td>91.6<\/td>83.9<\/td>90.2<\/td>92.2<\/td><\/tr>
                IF-Eval (Prompt Strict)<\/td>86.5<\/td>84.3<\/td>86.1<\/td>84.8<\/td>–<\/td>83.3<\/td><\/tr>
                GPQA Diamond (Pass@1)<\/td>65.0<\/td>49.9<\/td>59.1<\/td>60.0<\/td>75.7<\/td>71.5<\/td><\/tr>
                SimpleQA (\u6b63\u786e)<\/td>28.4<\/td>38.2<\/td>24.9<\/td>7.0<\/td>47.0<\/td>30.1<\/td><\/tr>
                FRAMES (\u51c6\u786e\u7387)<\/td>72.5<\/td>80.5<\/td>73.3<\/td>76.9<\/td>–<\/td>82.5<\/td><\/tr>
                AlpacaEval2.0 (LC-winrate)<\/td>52.0<\/td>51.1<\/td>70.0<\/td>57.8<\/td>–<\/td>87.6<\/td><\/tr>
                ArenaHard (GPT-4-1106)<\/td>85.2<\/td>80.4<\/td>85.5<\/td>92.0<\/td>–<\/td>92.3<\/td><\/tr>
                \u4ee3\u7801<\/strong><\/td><\/td><\/td><\/td><\/td><\/td><\/td><\/tr>
                LiveCodeBench (Pass@1-COT)<\/td>38.9<\/td>32.9<\/td>36.2<\/td>53.8<\/td>63.4<\/td>65.9<\/td><\/tr>
                Codeforces (\u767e\u5206\u4f4d)<\/td>20.3<\/td>23.6<\/td>58.7<\/td>93.4<\/td>96.6<\/td>96.3<\/td><\/tr>
                Codeforces (\u8bc4\u5206)<\/td>717<\/td>759<\/td>1134<\/td>1820<\/td>2061<\/td>2029<\/td><\/tr>
                SWE Verified (\u89e3\u51b3\u7387)<\/td>50.8<\/td>38.8<\/td>42.0<\/td>41.6<\/td>48.9<\/td>49.2<\/td><\/tr>
                Aider-Polyglot (\u51c6\u786e\u7387)<\/td>45.3<\/td>16.0<\/td>49.6<\/td>32.9<\/td>61.7<\/td>53.3<\/td><\/tr>
                \u6570\u5b66<\/strong><\/td><\/td><\/td><\/td><\/td><\/td><\/td><\/tr>
                AIME 2024 (Pass@1)<\/td>16.0<\/td>9.3<\/td><\/td><\/td><\/td><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

                3.2. \u84b8\u998f\u6a21\u578b\u8bc4\u4f30
                \u8868 5 | DeepSeek-R1 \u84b8\u998f\u6a21\u578b\u4e0e\u5176\u4ed6\u53ef\u6bd4\u6a21\u578b\u5728\u63a8\u7406\u76f8\u5173\u57fa\u51c6\u4e0a\u7684\u6bd4\u8f83\u3002
                \u5982\u8868 5 \u6240\u793a\uff0c\u7b80\u5355\u5730\u84b8\u998f DeepSeek-R1 \u7684\u8f93\u51fa\u4f7f\u5f97\u9ad8\u6548\u7684 DeepSeek-R1-7B\uff08\u5373 DeepSeek-R1-Distill-Qwen-7B\uff0c\u4ee5\u4e0b\u7b80\u5199\u4e3a\u76f8\u4f3c\uff09\u5728\u5404\u4e2a\u65b9\u9762\u8d85\u8d8a\u4e86\u975e\u63a8\u7406\u6a21\u578b\u5982 GPT-4o-0513\u3002DeepSeek-R1-14B \u5728\u6240\u6709\u8bc4\u4f30\u6307\u6807\u4e0a\u8d85\u8fc7\u4e86 QwQ-32B-Preview\uff0c\u800c DeepSeek-R1-32B \u548c DeepSeek-R1-70B \u5728\u5927\u591a\u6570\u57fa\u51c6\u4e0a\u663e\u8457\u8d85\u8fc7\u4e86 o1-mini\u3002\u8fd9\u4e9b\u7ed3\u679c\u5c55\u793a\u4e86\u84b8\u998f\u7684\u5f3a\u5927\u6f5c\u529b\u3002\u6b64\u5916\uff0c\u6211\u4eec\u53d1\u73b0\u5bf9\u8fd9\u4e9b\u84b8\u998f\u6a21\u578b\u5e94\u7528\u5f3a\u5316\u5b66\u4e60\uff08RL\uff09\u4f1a\u5e26\u6765\u663e\u8457\u7684\u8fdb\u4e00\u6b65\u63d0\u5347\u3002\u6211\u4eec\u8ba4\u4e3a\u8fd9\u503c\u5f97\u8fdb\u4e00\u6b65\u63a2\u7d22\uff0c\u56e0\u6b64\u5728\u6b64\u4ec5\u5c55\u793a\u7b80\u5355\u7684 SFT \u84b8\u998f\u6a21\u578b\u7684\u7ed3\u679c\u3002<\/p>\n\n\n\n

                  \n
                1. \u8ba8\u8bba<\/strong>
                  4.1. \u84b8\u998f\u4e0e\u5f3a\u5316\u5b66\u4e60<\/strong>
                  \u5728 3.2 \u8282\u4e2d\uff0c\u6211\u4eec\u53ef\u4ee5\u770b\u5230\uff0c\u901a\u8fc7\u84b8\u998f DeepSeek-R1\uff0c\u5c0f\u6a21\u578b\u53ef\u4ee5\u53d6\u5f97\u4ee4\u4eba\u5370\u8c61\u6df1\u523b\u7684\u7ed3\u679c\u3002\u7136\u800c\uff0c\u4ecd\u7136\u6709\u4e00\u4e2a\u95ee\u9898\uff1a\u6a21\u578b\u662f\u5426\u53ef\u4ee5\u901a\u8fc7\u672c\u6587\u8ba8\u8bba\u7684\u5927\u89c4\u6a21 RL \u8bad\u7ec3\u800c\u4e0d\u8fdb\u884c\u84b8\u998f\u6765\u5b9e\u73b0\u53ef\u6bd4\u7684\u6027\u80fd\uff1f
                  \u4e3a\u4e86\u89e3\u7b54\u8fd9\u4e2a\u95ee\u9898\uff0c\u6211\u4eec\u5728 Qwen-32B-Base \u4e0a\u8fdb\u884c\u5927\u89c4\u6a21 RL \u8bad\u7ec3\uff0c\u4f7f\u7528\u6570\u5b66\u3001\u4ee3\u7801\u548c STEM \u6570\u636e\uff0c\u8bad\u7ec3\u8d85\u8fc7 10K \u6b65\uff0c\u5f97\u5230\u4e86 DeepSeek-R1-Zero-Qwen-32B\u3002\u5b9e\u9a8c\u7ed3\u679c\u5982\u8868 6 \u6240\u793a\uff0c\u7ecf\u8fc7\u5927\u89c4\u6a21 RL \u8bad\u7ec3\u7684 32B \u57fa\u7840\u6a21\u578b\u5728\u6027\u80fd\u4e0a\u4e0e QwQ-32B-Preview \u76f8\u5f53\u3002\u7136\u800c\uff0cDeepSeek-R1-Distill-Qwen-32B\uff08\u4ece DeepSeek-R1 \u84b8\u998f\u800c\u6765\uff09\u5728\u6240\u6709\u57fa\u51c6\u4e0a\u8868\u73b0\u663e\u8457\u4f18\u4e8e DeepSeek-R1-Zero-Qwen-32B\u3002
                  \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\u83b7\u5f97\u4f18\u79c0\u7684\u7ed3\u679c\uff0c\u800c\u4f9d\u8d56\u4e8e\u672c\u6587\u63d0\u5230\u7684\u5927\u89c4\u6a21 RL \u7684\u5c0f\u6a21\u578b\u5219\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\u8d85\u8d8a\u667a\u80fd\u7684\u8fb9\u754c\u53ef\u80fd\u4ecd\u7136\u9700\u8981\u66f4\u5f3a\u5927\u7684\u57fa\u7840\u6a21\u578b\u548c\u5927\u89c4\u6a21\u7684\u5f3a\u5316\u5b66\u4e60\u3002<\/li>\n<\/ol>\n\n\n\n

                  4.2. \u4e0d\u6210\u529f\u7684\u5c1d\u8bd5<\/strong>
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                    \n
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                      \n
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