{"id":55394,"date":"2025-02-04T21:04:21","date_gmt":"2025-02-04T13:04:21","guid":{"rendered":"https:\/\/swarma.org\/?p=55394"},"modified":"2025-02-04T21:04:21","modified_gmt":"2025-02-04T13:04:21","slug":"deepseek-r1%ef%bd%9c%e9%9b%86%e6%99%ba%e7%99%be%e7%a7%91","status":"publish","type":"post","link":"https:\/\/swarma.org\/?p=55394","title":{"rendered":"DeepSeek-R1\uff5c\u96c6\u667a\u767e\u79d1"},"content":{"rendered":"
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DeepSeek-R1\u662fDeepSeek\u56e2\u961f\u63a8\u51fa\u7684\u7b2c\u4e00\u4ee3\u63a8\u7406\u6a21\u578b\uff0c\u901a\u8fc7\u5f3a\u5316\u5b66\u4e60\uff08RL\uff09\u548c\u84b8\u998f\u6280\u672f\u663e\u8457\u63d0\u5347\u4e86\u8bed\u8a00\u6a21\u578b\u7684\u63a8\u7406\u80fd\u529b\u3002DeepSeek-R1-Zero\u6a21\u578b\u5728\u6ca1\u6709\u76d1\u7763\u5fae\u8c03\uff08SFT\uff09\u7684\u60c5\u51b5\u4e0b\uff0c\u901a\u8fc7\u5927\u89c4\u6a21\u5f3a\u5316\u5b66\u4e60\u8bad\u7ec3\u5c55\u73b0\u51fa\u5f3a\u5927\u7684\u63a8\u7406\u80fd\u529b\uff0c\u4f46\u5b58\u5728\u53ef\u8bfb\u6027\u548c\u8bed\u8a00\u6df7\u5408\u95ee\u9898\u3002\u4e3a\u4e86\u89e3\u51b3\u8fd9\u4e9b\u95ee\u9898\uff0cDeepSeek-R1\u5f15\u5165\u4e86\u51b7\u542f\u52a8\u6570\u636e\u548c\u591a\u9636\u6bb5\u8bad\u7ec3\uff0c\u63a8\u7406\u6027\u80fd\u4e0eOpenAI\u7684GPT o1-1217\u76f8\u5f53\u3002\u6b64\u5916\uff0c\u56e2\u961f\u8fd8\u5f00\u6e90\u4e86\u516d\u4e2a\u57fa\u4e8eQwen\u548cLlama\u7684\u84b8\u998f\u6a21\u578b\uff0c\u5e2e\u52a9\u5c0f\u578b\u6a21\u578b\u63d0\u5347\u63a8\u7406\u80fd\u529b\u3002<\/span><\/strong><\/p>\n


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\u5173\u952e\u8bcd\uff1a\u5927\u6a21\u578b\u8bed\u8a00\uff0c\u5f3a\u5316\u5b66\u4e60\uff0c\u84b8\u998f\u6a21\u578b\uff0c\u7ec4\u76f8\u5bf9\u7b56\u7565\u4f18\u5316\uff0c\u89c4\u5219\u5316\u5956\u52b1<\/strong><\/strong><\/strong><\/strong><\/span><\/section>\n
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\u5189\u5929\u67a2\u3001\u8303\u5353\u4eea\u3001\u5b81\u5b9a\u626c\u3001\u738b\u5fd7\u9e4f\u3001Ricky\u3001\u6f58\u7433\u8389\u3001\u8881\u51b0\u3001\u5f20\u6c5f<\/span><\/span> <\/span>| \u4f5c\u8005<\/span><\/p>\n


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1. \u80cc\u666f<\/span><\/strong><\/section>\n

1.1 DeepSeek\u7cfb\u5217\u6a21\u578b<\/span><\/span><\/p>\n

2. \u6280\u672f\u7279\u70b9<\/span><\/strong><\/section>\n
2.1\tDeepSeek-R1-Zero\u4e0e\u5f3a\u5316\u5b66\u4e60<\/span><\/section>\n
2.2\tDeepSeek-R1-Zero \u7684\u987f\u609f\u65f6\u523b<\/span><\/section>\n
2.3\t\u51b7\u542f\u52a8\u6570\u636e\u4e0e\u591a\u9636\u6bb5\u8bad\u7ec3<\/span><\/section>\n
2.3.1\t\u51b7\u542f\u52a8\u6570\u636e<\/span><\/section>\n
2.3.2\t\u591a\u9636\u6bb5\u8bad\u7ec3<\/span><\/section>\n
2.4\t\u84b8\u998f\u6280\u672f<\/span><\/section>\n
2.5\t\u6027\u80fd\u8868\u73b0<\/span><\/section>\n
2.5.1\t\u6559\u80b2\u9886\u57df\u4efb\u52a1<\/span><\/section>\n
2.5.2\t\u957f\u4e0a\u4e0b\u6587\u4efb\u52a1<\/span><\/section>\n
2.5.3\t\u4e8b\u5b9e\u6027\u95ee\u7b54<\/span><\/section>\n
2.5.4\t\u6307\u4ee4\u6267\u884c\u4e0e\u89c4\u8303\u5316\u8f93\u51fa<\/span><\/section>\n
2.5.5\t\u5199\u4f5c\u548c\u5f00\u653e\u95ee\u7b54\u4efb\u52a1<\/span><\/section>\n
2.5.6\t\u6570\u5b66\u548c\u7f16\u7a0b\u4efb\u52a1<\/span><\/section>\n
2.5.7\t\u84b8\u998f\u6a21\u578b\u7684\u6027\u80fd\u8bc4\u4ef7<\/span><\/section>\n
2.6\t\u5f00\u6e90\u8d21\u732e<\/span><\/section>\n
2.7\t\u5e94\u7528\u573a\u666f<\/span><\/section>\n
2.8\t\u672a\u6765\u5c55\u671b<\/span><\/section>\n

3. DeepSeek-R1\u53d1\u5e03\u5e26\u6765\u7684\u793e\u4f1a\u5f71\u54cd<\/span><\/strong><\/p>\n

3.1\t\u793e\u4f1a\u5f71\u54cd<\/span><\/section>\n
3.2\t\u76f8\u5173\u4e8b\u4ef6<\/span><\/section>\n
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\u4e3a\u4e86\u89e3\u51b3\u8fd9\u4e00\u95ee\u9898\uff0cDeepSeek\u56e2\u961f\u63d0\u51fa\u4e86\u57fa\u4e8e\u5f3a\u5316\u5b66\u4e60\u7684\u8bad\u7ec3\u65b9\u6cd5\uff0c\u5f00\u53d1\u4e86DeepSeek-R1\u7cfb\u5217\u6a21\u578b\u3002\u8be5\u6a21\u578b\u7684\u6838\u5fc3\u76ee\u6807\u662f\u901a\u8fc7\u5f3a\u5316\u5b66\u4e60\u548c\u5927\u89c4\u6a21\u8bad\u7ec3\uff0c\u63d0\u5347\u6a21\u578b\u5728\u590d\u6742\u63a8\u7406\u4efb\u52a1\u4e2d\u7684\u8868\u73b0\u3002DeepSeek-R1-Zero\u662f\u8fd9\u4e00\u7cfb\u5217\u4e2d\u7684\u7b2c\u4e00\u4e2a\u6a21\u578b\uff0c\u5b83\u901a\u8fc7\u7eaf\u5f3a\u5316\u5b66\u4e60\u8bad\u7ec3\uff0c\u65e0\u9700\u76d1\u7763\u5fae\u8c03<\/span>\uff08SFT\uff09<\/span>\uff0c\u5c55\u73b0\u51fa\u5f3a\u5927\u7684\u63a8\u7406\u80fd\u529b\u3002\u7136\u800c\uff0cDeepSeek-R1-Zero \u5728\u8bad\u7ec3\u8fc7\u7a0b\u4e2d\u4e5f\u66b4\u9732\u51fa\u4e00\u4e9b\u95ee\u9898\uff0c\u5982\u53ef\u8bfb\u6027\u5dee\u3001\u8bed\u8a00\u6df7\u5408\u7b49\u3002<\/span><\/section>\n

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\u4e3a\u4e86\u8fdb\u4e00\u6b65\u4f18\u5316\u6a21\u578b\uff0cDeepSeek\u56e2\u961f\u5f15\u5165\u4e86\u51b7\u542f\u52a8\u6570\u636e\u548c\u591a\u9636\u6bb5\u8bad\u7ec3\u65b9\u6cd5\uff0c\u5f00\u53d1\u4e86DeepSeek-R1\u3002\u51b7\u542f\u52a8\u6570\u636e\u7684\u4f7f\u7528\u4f7f\u5f97\u6a21\u578b\u5728\u8bad\u7ec3\u521d\u671f\u80fd\u591f\u66f4\u5feb\u5730\u6536\u655b\uff0c\u5e76\u4e14\u901a\u8fc7\u591a\u9636\u6bb5\u8bad\u7ec3\uff0c\u6a21\u578b\u7684\u63a8\u7406\u80fd\u529b\u548c\u53ef\u8bfb\u6027\u5f97\u5230\u4e86\u663e\u8457\u63d0\u5347\u3002\u6b64\u5916\uff0c\u56e2\u961f\u8fd8\u63a2\u7d22\u4e86\u84b8\u998f\u6280\u672f\uff0c\u5c06\u5927\u578b\u6a21\u578b\u7684\u63a8\u7406\u80fd\u529b\u4f20\u9012\u5230\u5c0f\u578b\u6a21\u578b\uff0c\u4f7f\u5f97\u5c0f\u578b\u6a21\u578b\u5728\u63a8\u7406\u4efb\u52a1\u4e2d\u4e5f\u80fd\u8868\u73b0\u51fa\u8272\u3002<\/span><\/section>\n

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\u603b\u7684\u6765\u8bf4\uff0cDeepSeek-R1 \u7684\u5f00\u53d1\u80cc\u666f\u662f\u4e3a\u4e86\u89e3\u51b3\u4f20\u7edf\u8bed\u8a00\u6a21\u578b\u5728\u590d\u6742\u63a8\u7406\u4efb\u52a1\u4e2d\u7684\u4e0d\u8db3\uff0c\u901a\u8fc7\u5f3a\u5316\u5b66\u4e60\u548c\u84b8\u998f\u6280\u672f\uff0c\u63d0\u5347\u6a21\u578b\u5728\u6570\u5b66\u63a8\u7406\u3001\u4ee3\u7801\u751f\u6210\u7b49\u4efb\u52a1\u4e2d\u7684\u8868\u73b0\uff0c\u5e76\u4e3a\u7814\u7a76\u793e\u533a\u63d0\u4f9b\u5f00\u6e90\u7684\u63a8\u7406\u6a21\u578b\u8d44\u6e90\u3002<\/span><\/section>\n

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1.1 DeepSeek\u7cfb\u5217\u6a21\u578b<\/span><\/strong><\/span><\/h3>\n

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2023\u5e747\u6708\uff0c\u56fd\u5185\u5927\u578b\u79c1\u52df\u57fa\u91d1\u5e7b\u65b9\u91cf\u5316\u6210\u7acb\u4e86\u5b50\u516c\u53f8\u6df1\u5ea6\u6c42\u7d22\uff0c\u4ed6\u4eec\u50a8\u5907\u4e86\u8fc7\u4e07\u5f20A100\u548cH800\u8ba1\u7b97\u663e\u5361\uff0c\u5f00\u542f\u4e86\u534a\u5e74\u8fed\u4ee3\u4e00\u7248\u5927\u6a21\u578b\u7684\u63a2\u7d22\u5386\u7a0b\uff1a<\/span><\/p>\n

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    2024\u5e741\u6708\uff0c\u6df1\u5ea6\u6c42\u7d22\u53d1\u5e03\u4e86\u7b2c\u4e00\u4ee3\u6a21\u578b\uff0cDeepSeekMoE\u7cfb\u5217\uff0c\u6700\u5927\u7684\u7248\u672c\u670967B\u53c2\u6570\uff0c\u786e\u7acb\u4e86\u6df7\u5408\u4e13\u5bb6\u6a21\u578b<\/span> (MoE) <\/span>\u67b6\u6784\u8def\u7ebf\uff0c\u80fd\u5927\u5e45\u51cf\u5c11\u8bad\u7ec3\u548c\u751f\u6210\u671f\u95f4\u7684\u6210\u672c\u3002\u53e6\u5916\uff0cDeepSeekMoE\u53d1\u73b0\u4e86\u7ec6\u7c92\u5ea6\u591a\u6570\u91cfExpert\u6a21\u5757\u4ee5\u53ca\u8bbe\u7acb\u72ec\u7acb\u7684\u5171\u4eabExpert\u6a21\u5757\u80fd\u83b7\u5f97\u66f4\u52a0\u7a33\u5b9a\u4e14\u66f4\u597d\u7684\u6548\u679c\u3002<\/span><\/p>\n<\/li>\n

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    2024\u5e745\u6708\uff0c\u6df1\u5ea6\u6c42\u7d22\u53d1\u5e03\u4e86\u7b2c\u4e8c\u4ee3\u6a21\u578b\uff0cDeepSeek-v2\uff0c\u6700\u5927\u7684\u7248\u672c\u6709273B\u53c2\u6570\u3002\u5176\u4e2d\u6700\u91cd\u8981\u7684\u521b\u65b0\u662f\u591a\u5934\u6f5c\u5728\u6ce8\u610f\u529b\u673a\u5236<\/span> (Multi-head Latent Attention\uff0cMLA)<\/span>\u3002MLA\u80fd\u5927\u5e45\u964d\u4f4e\u6a21\u578b\u5728\u751f\u6210<\/span>\uff08\u63a8\u7406\uff09<\/span>\u9636\u6bb5\u7684\u663e\u5361\u7f13\u5b58\u5360\u7528\uff0c\u636e\u62a5\u544a\u53ef\u964d\u5230\u539f\u5148\u76845%-13%\uff0c\u56e0\u800c\u53ef\u4ee5\u5927\u5927\u63d0\u9ad8\u5176\u5728\u751f\u6210\u9636\u6bb5\u7684\u6548\u7387\u3002\u8fd9\u4e00\u521b\u65b0\uff0c\u914d\u5408\u5176\u4ed6\u521b\u65b0\u4f7f\u5f97DeepSeek-v2\u7684\u751f\u6210\u6587\u5b57\u7684\u6210\u672c\u964d\u5230\u53ea\u6709\u6bcf\u767e\u4e07token\u4e00\u5757\u94b1\u3002<\/span><\/p>\n<\/li>\n

  • \n
    2024\u5e7412\u6708\uff0c\u6df1\u5ea6\u6c42\u7d22\u53d1\u5e03\u4e86\u7b2c\u4e09\u4ee3\u6a21\u578b\uff0cDeepSeek-v3\uff0c\u6700\u5927\u7684\u7248\u672c\u6709671B\u53c2\u6570\u3002v3\u91c7\u7528\u4e86\u591atoken\u9884\u6d4b\u8bad\u7ec3<\/span>\uff08Multi-Token Prediction, MTP\uff09<\/span>\u6280\u672f\u4ee5\u53ca\u65e0\u635f\u8d1f\u8f7d\u5747\u8861\u6280\u672f\uff0c\u5728\u8bad\u7ec3\u8fc7\u7a0b\u5927\u5e45\u63d0\u9ad8\u6a21\u578b\u80fd\u529b\uff0c\u6700\u7ec8\u4f7f\u5f97\u5176\u6a21\u578b\u80fd\u529b\u6bd4\u80a9GPT-4o\u7684\u6700\u65b0\u7248\u672c\u3002\u6b64\u5916\uff0cDeepSeek-v3\u8fd8\u7b2c\u4e00\u6b21\u8bc1\u660e\u4e86\u5927\u89c4\u6a21fp8\u6df7\u5408\u7cbe\u5ea6\u8bad\u7ec3\u7684\u53ef\u884c\u6027\uff0c\u63d0\u51fa\u4e86DualPipe\u7b97\u6cd5\u6765\u91cd\u53e0\u96c6\u7fa4\u95f4\u8ba1\u7b97\u548c\u901a\u4fe1\u7684\u5f00\u9500\uff0c\u4ee5\u53ca\u9488\u5bf9MoE\u67b6\u6784\u7684PD\u5206\u79bb\u7b56\u7565\u7b49\u5404\u79cd\u6280\u672f\u3002<\/span><\/section>\n<\/li>\n<\/ul>\n


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    2.1 DeepSeek-R1-Zero\u4e0e\u5f3a\u5316\u5b66\u4e60<\/span><\/strong><\/span><\/h3>\n

    <\/span><\/section>\n
    DeepSeek-R1-Zero\u6a21\u578b\u901a\u8fc7\u7eaf\u5f3a\u5316\u5b66\u4e60\u8bad\u7ec3\uff0c\u65e0\u9700\u76d1\u7763\u5fae\u8c03<\/span>\uff08SFT\uff09<\/span>\uff0c\u5c55\u73b0\u51fa\u5f3a\u5927\u7684\u63a8\u7406\u80fd\u529b\u3002\u4e14\u6a21\u578b\u5728\u8bad\u7ec3\u8fc7\u7a0b\u4e2d\u8868\u73b0\u51fa\u201c\u987f\u609f\u65f6\u523b\u201d\uff0c\u5373\u81ea\u53d1\u5730\u91cd\u65b0\u8bc4\u4f30\u548c\u4f18\u5316\u63a8\u7406\u6b65\u9aa4\u3002<\/span><\/section>\n

    <\/span><\/section>\n
    \u5728\u4ee5\u5f80\u7684\u7814\u7a76\u4e2d\uff0c\u6a21\u578b\u7684\u6027\u80fd\u63d0\u5347\u4e3b\u8981\u4f9d\u8d56\u4e8e\u5927\u91cf\u7684\u76d1\u7763\u6570\u636e\uff0c\u6216\u8005\u5728\u9884\u8bad\u7ec3\u6a21\u578b\u7684\u57fa\u7840\u4e0a\u901a\u8fc7\u76d1\u7763\u5fae\u8c03<\/span>\uff08SFT\uff09<\/span>\u6765\u5b9e\u73b0\u3002\u76d1\u7763\u5fae\u8c03\u662f\u6307\u5728\u9884\u8bad\u7ec3\u6a21\u578b\u7684\u57fa\u7840\u4e0a\uff0c\u4f7f\u7528\u5e26\u6709\u6807\u6ce8\u7684\u6570\u636e\u8fdb\u884c\u8fdb\u4e00\u6b65\u8bad\u7ec3\uff0c\u4f7f\u6a21\u578b\u66f4\u597d\u5730\u9002\u5e94\u7279\u5b9a\u4efb\u52a1<\/span>\uff08\u5982\u6587\u672c\u5206\u7c7b\u3001\u56fe\u50cf\u8bc6\u522b\u7b49\uff09<\/span>\uff0c\u4ece\u800c\u63d0\u5347\u5176\u5728\u8be5\u4efb\u52a1\u4e0a\u7684\u6027\u80fd\u3002\u7136\u800c\uff0cDeepSeek-R1-Zero\u6a21\u578b\u7684\u51fa\u73b0\u6253\u7834\u4e86\u8fd9\u4e00\u4f20\u7edf\u6a21\u5f0f\uff0c\u8bc1\u660e\u4e86\u5373\u4f7f\u4e0d\u4f7f\u7528\u76d1\u7763\u5fae\u8c03\u4f5c\u4e3a\u51b7\u542f\u52a8\uff0c\u4e5f\u80fd\u901a\u8fc7\u5927\u89c4\u6a21\u5f3a\u5316\u5b66\u4e60<\/span>\uff08RL\uff09<\/span>\u663e\u8457\u63d0\u9ad8\u63a8\u7406\u80fd\u529b\u3002\u8fd9\u4e00\u65b9\u6cd5\u53ef\u4ee5\u7c7b\u6bd4DeepMind\u7684Alpha-Zero\uff0c\u540e\u8005\u901a\u8fc7\u81ea\u6211\u5bf9\u5f08\u751f\u6210\u6570\u636e\uff0c\u5728\u56f4\u68cb\u5bf9\u5f08\u4e2d\u5b9e\u73b0\u4e86\u65e0\u9700\u4eba\u7c7b\u5148\u9a8c\u77e5\u8bc6\u7684\u5f3a\u5927\u51b3\u7b56\u80fd\u529b\u3002<\/span><\/section>\n

    <\/span><\/section>\n
    DeepSeek-R1-Zero\u6a21\u578b\u7684\u521b\u65b0\u4e3b\u8981\u4f53\u73b0\u5728\u4e24\u4e2a\u65b9\u9762\uff1a\u7ec4\u76f8\u5bf9\u7b56\u7565\u4f18\u5316<\/span>\uff08GRPO\uff09<\/span>\u548c\u89c4\u5219\u5316\u5956\u52b1<\/span>\uff08Rule-based reward\uff09<\/span>\u3002<\/span><\/section>\n

    <\/span><\/section>\n
    – \u7ec4\u76f8\u5bf9\u7b56\u7565\u4f18\u5316\uff08GRPO\uff09\uff1a<\/span><\/strong>GRPO\u65b9\u6cd5\u653e\u5f03\u4e86\u901a\u5e38\u4e0e\u7b56\u7565\u6a21\u578b\u5927\u5c0f\u76f8\u540c\u7684\u6279\u8bc4\u8005\u6a21\u578b\uff0c\u800c\u662f\u901a\u8fc7\u7ec4\u5f97\u5206\u6765\u4f30\u8ba1\u57fa\u7ebf\u3002\u8fd9\u79cd\u65b9\u6cd5\u7c7b\u4f3c\u4e8e\u591a\u4e2a\u79d1\u7814\u5c0f\u7ec4\u5171\u540c\u653b\u5173\u540c\u4e00\u4e2a\u8bfe\u9898\uff0c\u5f53\u67d0\u4e2a\u5c0f\u7ec4\u53d6\u5f97\u9886\u5148\u65f6\uff0c\u5176\u4ed6\u5c0f\u7ec4\u4f1a\u590d\u5236\u5176\u65b9\u6cd5\uff0c\u4ece\u800c\u8282\u7701\u5f3a\u5316\u5b66\u4e60\u7684\u8bad\u7ec3\u6210\u672c\u3002<\/span><\/section>\n

    <\/span><\/section>\n
    – \u57fa\u4e8e\u89c4\u5219\u7684\u5956\u52b1\uff08Rule-based reward\uff09\uff1a<\/span><\/strong>\u5373\u8bad\u7ec3\u8fc7\u7a0b\u4e2d\u7684\u5956\u52b1\u7531\u4e00\u4e2a\u89c4\u5219\u7cfb\u7edf\u7ed9\u51fa<\/span>\uff08\u800c\u975e\u795e\u7ecf\u7f51\u7edc\uff09<\/span>\u3002\u4f8b\u5982\uff0c\u786e\u5b9a\u6027\u7684\u6570\u5b66\u9898\u7b54\u6848\u53ef\u4ee5\u548c\u4e8b\u5148\u7ed9\u5b9a\u7684\u6807\u51c6\u7b54\u6848\u5bf9\u6bd4\uff0c\u786e\u5b9a\u5956\u60e9\u4fe1\u53f7\uff0c\u4e8c\u4ee3\u7801\u9898\u7684\u7b54\u6848\u8fd8\u53ef\u4ee5\u76f4\u63a5\u4e22\u5c3d\u7f16\u8bd1\u5668\uff0c\u7531\u7f16\u8bd1\u5668\u7ed9\u51fa\u901a\u8fc7\u4e0e\u5426\u7684\u5956\u60e9\u4fe1\u53f7\u3002\u9664\u6b64\u4e86\u7b54\u6848\u6b63\u786e\u4e0e\u5426\u7684\u5956\u60e9\u4fe1\u53f7\uff0c\u5956\u52b1\u7cfb\u7edf\u4e2d\u8fd8\u5f15\u5165\u4e86\u683c\u5f0f\u7684\u5956\u60e9\u4fe1\u53f7\uff0c\u5373\u5e0c\u671b\u6a21\u578b\u8f93\u51fa\u9075\u5b88\u7ed9\u5b9a\u7684\u683c\u5f0f\uff0c\u5373\u6574\u4e2a\u601d\u8003\u8fc7\u7a0b\u5e76\u653e\u5728\u201c<think>…<\/think>\u201d\u91cc\uff0c\u800c\u6700\u7ec8\u7b54\u6848\u653e\u5728\u201c<answer>…<\/answer>\u201d\u3002\u57fa\u4e8e\u89c4\u5219\u7684\u5956\u52b1\u5b9e\u73b0\u8d77\u6765\u7b80\u5355\u9ad8\u6548\uff0c\u4e5f\u907f\u514d\u4e86\u57fa\u4e8e\u795e\u7ecf\u7f51\u7edc\u7684\u5956\u52b1\u7cfb\u7edf\u5728\u5927\u89c4\u6a21\u5f3a\u5316\u5b66\u4e60\u8fc7\u7a0b\u4e2d\u53ef\u80fd\u51fa\u73b0\u7684\u201c\u5956\u52b1\u64cd\u7eb5\u201d<\/span>\uff08reward hacking\uff09<\/span>\u3002<\/span><\/section>\n

    <\/span><\/section>\n
    \u57fa\u4e8e\u4e0a\u8ff0\u7b56\u7565\uff0cDeepSeek-R1-Zero\u7684\u8bad\u7ec3\u5c55\u793a\u4e86\u4e24\u4e2a\u663e\u8457\u6548\u679c\u3002\u9996\u5148\uff0c\u6a21\u578b\u81ea\u7136\u800c\u7136\u5730\u5b66\u4f1a\u4e86\u7528\u66f4\u591a\u7684\u601d\u8003\u65f6\u95f4\u6765\u89e3\u51b3\u63a8\u7406\u4efb\u52a1\u3002\u8fd9\u4e00\u53d8\u5316\u5e76\u975e\u901a\u8fc7\u5916\u90e8\u538b\u529b\u5b9e\u73b0\uff0c\u800c\u662f\u6a21\u578b\u5185\u5728\u53d1\u5c55\u7684\u7ed3\u679c\u3002\u5176\u6b21\uff0c\u6a21\u578b\u8fdb\u5316\u51fa\u4e86\u590d\u6742\u6027\uff0c\u5e76\u4ea7\u751f\u4e86\u5f15\u4eba\u6ce8\u76ee\u7684\u201c\u987f\u609f\u65f6\u523b\u201d\u3002\u8fd9\u4e9b\u7ed3\u679c\u8868\u660e\uff0cDeepSeek-R1-Zero\u5728\u63a8\u7406\u80fd\u529b\u4e0a\u53d6\u5f97\u4e86\u91cd\u8981\u7a81\u7834\u3002<\/span><\/section>\n

    <\/span><\/section>\n
    <\/section>\n

    \u63a8\u7406\u8fc7\u7a0b\u4e2dDeepSeek-R1-Zero\u5728\u8bad\u7ec3\u96c6\u4e0a\u7684\u5e73\u5747\u54cd\u5e94\u65f6\u95f4\u3002DeepSeek-R1-Zero\u2f83\u7136\u2f7d\u7136\u5730\u5b66\u4f1a\u4e86\u2f64\u66f4\u591a\u7684\u601d\u8003\u65f6\u95f4\u6765\u89e3\u51b3\u63a8\u7406\u4efb\u52a1<\/span><\/p>\n


    <\/span><\/section>\n
    \u7136\u800c\uff0cDeepSeek-R1-Zero\u4e5f\u9762\u4e34\u4e00\u4e9b\u6311\u6218\u3002\u7531\u4e8e\u5728\u9884\u8bad\u7ec3\u9636\u6bb5\u5b8c\u5168\u653e\u5f03\u4e86\u5bf9\u8ba1\u7b97\u8d44\u6e90\u6d88\u8017\u5de8\u5927\u7684\u76d1\u7763\u5b66\u4e60\uff0c\u6a21\u578b\u5177\u6709\u660e\u663e\u7684\u6210\u672c\u4f18\u52bf\u3002\u4f46\u4e0e\u6b64\u540c\u65f6\uff0c\u5b8c\u5168\u653e\u5f03\u76d1\u7763\u5b66\u4e60\u4e5f\u5bfc\u81f4\u8f93\u51fa\u7ed3\u679c\u4e0d\u7a33\u5b9a\uff0c\u4e14\u53ef\u8bfb\u6027\u8f83\u5dee\u3002\u8fd9\u4e00\u95ee\u9898\u7684\u5b58\u5728\u5f15\u53d1\u4e86DeepSeek\u56e2\u961f\u5bf9\u6a21\u578b\u4f18\u5316\u7684\u8fdb\u4e00\u6b65\u601d\u8003\u3002<\/span><\/section>\n

    <\/span><\/section>\n
    \u53d7\u5230DeepSeek-R1-Zero\u6210\u679c\u7684\u542f\u53d1\uff0c\u7814\u7a76\u4eba\u5458\u63d0\u51fa\u4e86\u4e24\u4e2a\u672a\u6765\u7814\u7a76\u65b9\u5411\u3002\u9996\u5148\uff0c\u4f5c\u4e3a\u51b7\u542f\u52a8\uff0c\u7eb3\u5165\u5c11\u91cf\u9ad8\u8d28\u91cf\u6570\u636e\u80fd\u5426\u8fdb\u4e00\u6b65\u63d0\u9ad8\u63a8\u7406\u6027\u80fd\u6216\u52a0\u901f\u6536\u655b\uff1f\u5176\u6b21\uff0c\u5982\u4f55\u624d\u80fd\u8bad\u7ec3\u51fa\u4e00\u4e2a\u7528\u6237\u53cb\u597d\u578b\u6a21\u578b\uff0c\u4e0d\u4ec5\u80fd\u751f\u6210\u6e05\u6670\u8fde\u8d2f\u7684\u601d\u7ef4\u94fe<\/span>\uff08CoT\uff09<\/span>\uff0c\u8fd8\u80fd\u5c55\u793a\u5f3a\u5927\u7684\u901a\u7528\u80fd\u529b\uff1f\u8fd9\u4e9b\u95ee\u9898\u7684\u63a2\u7d22\u5c06\u4e3a\u6a21\u578b\u7684\u53d1\u5c55\u63d0\u4f9b\u65b0\u7684\u601d\u8def\u548c\u53ef\u80fd\u6027\u3002<\/span><\/section>\n


    <\/span><\/h3>\n

    2.2 DeepSeek-R1-Zero \u7684\u987f\u609f\u65f6\u523b<\/span><\/strong><\/span><\/h3>\n

    <\/span><\/section>\n
    \u987f\u609f\u65f6\u523b<\/span> (Aha Moment) <\/span>\u4f53\u73b0\u4e86\u6a21\u578b\u80fd\u81ea\u53d1\u5730\u91cd\u65b0\u8bc4\u4f30\u548c\u4f18\u5316\u63a8\u7406\u6b65\u9aa4\u7684\u80fd\u529b\u3002\u5982\u4e0b\u56fe\u6240\u793a\u3002\u6a21\u578b\u91cd\u65b0\u8bc4\u4f30\u4e86\u5176\u521d\u59cb\u89e3\u9898\u65b9\u6cd5\uff0c\u5e76\u5b66\u4f1a\u4e86\u4e3a\u89e3\u9898\u5206\u914d\u66f4\u591a\u7684\u601d\u8003\u65f6\u95f4\u3002\u4f7f\u7528\u5f3a\u5316\u5b66\u4e60\u65b9\u6cd5\uff0c\u4eba\u4eec\u4e0d\u9700\u8981\u660e\u786e\u6559\u5bfc\u6a21\u578b\u89e3\u51b3\u95ee\u9898\u65b9\u6cd5\uff0c\u53ea\u9700\u8981\u63d0\u4f9b\u9002\u5f53\u7684\u6fc0\u52b1\uff0c\u5373\u53ef\u8ba9\u6a21\u578b\u81ea\u4e3b\u53d1\u5c55\u51fa\u95ee\u9898\u89e3\u51b3\u7b56\u7565\u3002\u8fd9\u79cd\u81ea\u4e3b\u6027\u4e0d\u4ec5\u5c55\u793a\u4e86\u6a21\u578b\u63a8\u7406\u80fd\u529b\u7684\u63d0\u5347\uff0c\u8fd8\u663e\u793a\u4e86\u5f3a\u5316\u5b66\u4e60\u5728\u89e3\u9501AI\u667a\u80fd\u6c34\u5e73\u65b9\u9762\u7684\u6f5c\u529b\u3002<\/span><\/section>\n

    <\/span><\/section>\n
    <\/section>\n


    <\/span><\/h3>\n

    2.3 \u51b7\u542f\u52a8\u6570\u636e\u4e0e\u591a\u9636\u6bb5\u8bad\u7ec3<\/span><\/strong><\/span><\/h3>\n

    <\/span><\/section>\n
    \u4e3a\u4e86\u89e3\u51b3\u53ef\u8bfb\u6027\u548c\u8bed\u8a00\u6df7\u5408\u95ee\u9898\uff0cDeepSeek-R1\u5f15\u5165\u4e86\u51b7\u542f\u52a8\u6570\u636e\u548c\u591a\u9636\u6bb5\u8bad\u7ec3\u65b9\u6cd5\u3002\u8fd9\u4e9b\u6539\u8fdb\u4f7f\u5f97\u6a21\u578b\u5728\u63a8\u7406\u4efb\u52a1\u4e2d\u7684\u8868\u73b0\u4e0eOpenAI\u7684o1-1217\u6a21\u578b\u76f8\u5f53\u3002<\/span><\/section>\n

    <\/span><\/section>\n
    \u5c3d\u7ba1DeepSeek-R1-Zero\u663e\u793a\u51fa\u4e86\u5f3a\u5927\u7684\u63a8\u7406\u80fd\u529b\uff0c\u4f46\u5176\u8f93\u51fa\u4e0d\u7b26\u5408\u4eba\u7c7b\u7684\u9605\u8bfb\u4e60\u60ef\uff0c\u4e14\u4f1a\u6df7\u6742\u4e2d\u82f1\u6587\u751a\u81f3\u4ee3\u7801\u548c\u6570\u5b66\u7b26\u53f7\uff0c\u6240\u4ee5\u4eba\u7c7b\u7684\u9605\u8bfb\u4f53\u9a8c\u5e76\u4e0d\u597d\u3002\u800c\u8981\u4f7f\u6a21\u578b\u7684\u8f93\u51fa\u7b26\u5408\u4eba\u7c7b\u4e60\u60ef\uff0c\u4eba\u4eec\u4f7f\u7528\u5fae\u8c03\u6280\u672f\u5c31\u4f1a\u6bd4\u8f83\u9002\u5408\u3002\u4e8e\u662fDeepSeek\u56e2\u961f\u5728\u4e00\u5b9a\u7a0b\u5ea6\u4e0a\u53c8\u628a\u76d1\u7763\u5fae\u8c03<\/span> (SFT) <\/span>\u6280\u672f\u8bf7\u4e86\u56de\u6765\uff0c\u5728\u6700\u521d\u4f7f\u7528\u5c11\u91cf\u6807\u6ce8\u6570\u636e\u5bf9\u57fa\u6a21\u8fdb\u884c\u76d1\u7763\u5fae\u8c03\uff0c\u4f5c\u4e3a\u6a21\u578b\u7684\u51b7\u542f\u52a8\uff0c\u7136\u540e\u518d\u8fdb\u884cDeepSeek-R1-Zero\u6240\u7ecf\u5386\u7684\u5927\u89c4\u6a21\u5f3a\u5316\u5b66\u4e60\u3002<\/span><\/section>\n

    <\/span><\/section>\n

    2.3.1 \u51b7\u542f\u52a8\u6570\u636e<\/span><\/strong><\/h4>\n

    <\/span><\/section>\n
    \u201c\u51b7\u542f\u52a8\u201d\u662f\u4eba\u5de5\u667a\u80fd\u9886\u57df\u7684\u4e00\u4e2a\u672f\u8bed\uff0c\u7528\u4e8e\u63cf\u8ff0\u4eba\u5de5\u667a\u80fd\u6a21\u578b\u5728\u6ca1\u6709\u4efb\u4f55\u5148\u524d\u8bad\u7ec3\u6570\u636e\u7684\u60c5\u51b5\u4e0b\u4ece\u5934\u5f00\u59cb\u5b66\u4e60\u7684\u60c5\u51b5\u3002\u4e0eDeepSeek-R1-Zero\u4e0d\u540c\uff0c\u4e3a\u4e86\u907f\u514d\u4ece\u57fa\u7840\u6a21\u578b\u5f00\u59cb\u7684\u5f3a\u5316\u5b66\u4e60\u8bad\u7ec3\u65e9\u671f\u4e0d\u7a33\u5b9a\u7684\u51b7\u542f\u52a8\u9636\u6bb5\uff0cDeepSeek-R1\u6784\u5efa\u548c\u6536\u96c6\u4e86\u5c11\u91cf\u957f\u601d\u7ef4\u94fe\u6570\u636e\uff0c\u6536\u96c6\u7684\u8fc7\u7a0b\u4e3b\u8981\u6ce8\u91cd\u8fc7\u6ee4\u6389\u4e0d\u6613\u8bfb\u7684\u7ed3\u679c\u3002<\/span><\/section>\n

    <\/span><\/section>\n
    \u8fd9\u6b21\u51b7\u542f\u52a8\u9636\u6bb5\u7684\u76d1\u7763\u5fae\u8c03\u548c\u4ee5\u5f80\u7684\u201c\u5148\u76d1\u7763\u5fae\u8c03\u540e\u5f3a\u5316\u5b66\u4e60\u201d\u8bad\u7ec3\u8fc7\u7a0b\u6709\u663e\u8457\u533a\u522b\uff0c\u6700\u5927\u7684\u533a\u522b\u5728\u4e8e\u4e8c\u8005\u7684\u6570\u91cf\u4e0a\u3002\u6bd4\u5982DeepseekMath\u5728RL\u524d\u7684\u76d1\u7763\u5fae\u8c03\u9636\u6bb5\u4f7f\u7528\u4e8677.6\u4e07\u4e2a\u6837\u672c\uff0c\u800c\u8fd9\u6b21\u7684\u51b7\u542f\u52a8\u9636\u6bb5\u53ea\u4f7f\u7528\u4e86\u51e0\u5343\u4e2a\u3002\u4e5f\u6b63\u56e0\u4e3a\u51b7\u542f\u52a8\u9636\u6bb5\u7528\u4e8e\u5fae\u8c03\u7684\u6837\u672c\u91cf\u76f8\u5bf9\u8f83\u5c11\uff0c\u6240\u4ee5\u5de5\u7a0b\u4eba\u5458\u53ef\u4ee5\u7cbe\u5fc3\u6311\u9009\u8fd9\u4e9b\u6837\u672c\uff0c\u56e0\u6b64\u5b83\u4eec\u7684\u8d28\u91cf\u4e5f\u6bd4\u4ee5\u5f80\u76d1\u7763\u5fae\u8c03\u9636\u6bb5\u7528\u5230\u7684\u6570\u636e\u8981\u9ad8\u5f97\u591a\u3002\u4e8b\u5148\u4f7f\u7528\u9ad8\u8d28\u91cf\u6570\u636e\u5fae\u8c03\u540e\uff0c\u6a21\u578b\u5728\u5f00\u59cb\u5c31\u4f1a\u4f7f\u7528\u4eba\u7c7b\u504f\u597d\u7684\u8bed\u8a00\u548c\u601d\u7ef4\u98ce\u683c\u8fdb\u884c\u601d\u8003\uff0c\u5e76\u8f93\u51fa\u5bf9\u4eba\u7c7b\u9605\u8bfb\u4f53\u9a8c\u53cb\u597d\u7684\u7ed3\u679c\u3002\u4e14\u7531\u4e8e\u8fd9\u4e9b\u5fae\u8c03\u6570\u636e\u4e00\u822c\u90fd\u6709\u9ad8\u8d28\u91cf\u7684\u601d\u7ef4\u94fe<\/span>\uff08Chain of Thoughts\uff09<\/span>\uff0c\u5728\u540e\u7eed\u7684\u5f3a\u5316\u5b66\u4e60\u4e4b\u59cb\u53ef\u4ee5\u8df3\u8fc7\u4e0d\u65ad\u968f\u673a\u6478\u7d22\u7684\u9636\u6bb5\uff0c\u5feb\u901f\u53d1\u5c55\u51fa\u4f7f\u7528\u601d\u7ef4\u94fe\u8fdb\u884c\u590d\u6742\u63a8\u7406\u7684\u80fd\u529b\u3002\u56e0\u6b64\uff0c\u5c11\u6279\u91cf\u9ad8\u8d28\u91cf\u6570\u636e\u7684\u51b7\u542f\u52a8\u4e0d\u4ec5\u80fd\u4f7f\u6a21\u578b\u8f93\u51fa\u7b26\u5408\u4eba\u7c7b\u7684\u9605\u8bfb\u504f\u597d\uff0c\u8fd8\u80fd\u4f7f\u6a21\u578b\u66f4\u5feb\u6536\u655b\uff0c\u83b7\u5f97\u66f4\u5f3a\u7684\u63a8\u7406\u80fd\u529b\u3002\u4e0d\u8fc7\u5373\u4fbf\u7ecf\u8fc7\u4e86\u51b7\u542f\u52a8\uff0c\u5927\u6a21\u578b\u5728\u7b2c\u4e8c\u9636\u6bb5\u7684\u5728\u5927\u89c4\u6a21\u5f3a\u5316\u5b66\u4e60\u8fc7\u7a0b\u4e2d\u8fd8\u662f\u663e\u793a\u51fa\u4e86\u8bed\u8a00\u6df7\u6742\u7684\u73b0\u8c61\u3002\u4e3a\u4e86\u89e3\u51b3\u8fd9\u4e00\u95ee\u9898\uff0cDeepseek\u56e2\u961f\u8fd8\u5728\u8bad\u7ec3\u8fc7\u7a0b\u4e2d\u52a0\u5165\u4e86\u201c\u8bed\u8a00\u4e00\u81f4\u6027\u5956\u52b1\u201d\uff0c\u5373\u5956\u52b1\u6a21\u578b\u5c3d\u53ef\u80fd\u4f7f\u7528\u4e00\u81f4\u7684\u8bed\u8a00\u6765\u601d\u8003\u548c\u56de\u7b54\u3002<\/span><\/section>\n


    <\/span><\/h4>\n

    2.3.2 \u591a\u9636\u6bb5\u8bad\u7ec3<\/span><\/strong><\/h4>\n

    <\/span><\/section>\n
    \u7ecf\u8fc7\u7b2c\u4e00\u9636\u6bb5\u7684\u51b7\u542f\u52a8\u548c\u7b2c\u4e8c\u9636\u6bb5\u7684\u5927\u89c4\u6a21\u5f3a\u5316\u5b66\u4e60\u540e\uff0c\u7b2c\u4e09\u548c\u7b2c\u56db\u9636\u6bb5\u7684\u8bad\u7ec3\u5206\u522b\u662f\u63d0\u9ad8\u6a21\u578b\u5404\u65b9\u9762\u80fd\u529b\u7684\u5927\u89c4\u6a21\u5fae\u8c03\u548c\u589e\u5f3a\u6a21\u578b\u6709\u7528\u6027\u53ca\u65e0\u5bb3\u6027\u7684\u8fdb\u4e00\u6b65\u7684\u5f3a\u5316\u5b66\u4e60\u3002<\/span><\/section>\n

    <\/span><\/section>\n
    \u7b2c\u4e09\u9636\u6bb5\u548c\u7b2c\u4e00\u9636\u6bb5\u867d\u7136\u90fd\u662f\u5fae\u8c03\uff0c\u4f46\u5728\u76ee\u7684\u548c\u89c4\u6a21\u4e0a\u90fd\u4e0d\u4e00\u6837\u3002\u7b2c\u4e00\u9636\u6bb5\u7684\u51b7\u542f\u52a8\u5fae\u8c03\u662f\u4e3a\u4e86\u4f7f\u6a21\u578b\u7684\u8f93\u51fa\u66f4\u5177\u53ef\u8bfb\u6027\u548c\u6fc0\u53d1\u5176\u540e\u7eed\u7684\u601d\u7ef4\u63a8\u7406\u6f5c\u529b\uff0c\u800c\u7b2c\u4e09\u9636\u6bb5\u7684\u5fae\u8c03\u662f\u4e3a\u4e86\u63d0\u5347\u6a21\u578b\u7684\u5176\u4ed6\u7684\u901a\u7528\u80fd\u529b\uff0c\u6bd4\u5982\u5199\u4f5c\uff0c\u95ee\u7b54\u3001\u7ffb\u8bd1\u3001\u89d2\u8272\u626e\u6f14\u3001\u81ea\u6211\u53cd\u601d\u7b49\u3002\u4e3a\u6b64\uff0c\u76f8\u6bd4\u4e8e\u51b7\u542f\u52a8\u6240\u9700\u7684\u51e0\u5343\u4e2a\u6570\u636e\u6837\u672c\uff0c\u7b2c\u4e09\u9636\u6bb5\u7684\u5fae\u8c03\u4f7f\u7528\u4e8680\u591a\u4e07\u4e2a\u6837\u672c\u6570\u636e\u3002\u8fd9\u91cc\u9762\u5305\u62ec\u5404\u79cd\u6765\u6e90\u7684\u6570\u636e\uff0c\u6bd4\u5982\u8bf4\u8bad\u7ec3Deepseek-v3\u65f6\u7528\u5230\u7684\u76d1\u7763\u5fae\u8c03\u6570\u636e\u96c6\u3002<\/span><\/section>\n

    <\/span><\/section>\n
    \u6709\u8da3\u7684\u662f\uff0c\u8fd980\u591a\u4e07\u4e2a\u6837\u672c\u4e2d\uff0c\u670960\u591a\u4e07\u4e2a\u662f\u4ece\u4e4b\u524dR1\u7684\u8bad\u7ec3\u8fc7\u7a0b\u4e2d\u6240\u5f97\u7684checkpoints\u4e2d\u5f97\u6765\u3002\u56e2\u961f\u4eba\u5458\u4f7f\u7528prompt\u53bb\u8ba9checkpoint\u6a21\u578b\u505a\u51fa\u56de\u7b54\uff0c\u7136\u540e\u4f7f\u7528\u4e00\u4e2a\u8bad\u7ec3\u597d\u7684\u5956\u52b1\u6a21\u578b\u6765\u5224\u65ad\u54ea\u4e9b\u56de\u7b54\u8d28\u91cf\u9ad8\u53ef\u4ee5\u4fdd\u7559\uff0c\u54ea\u4e9b\u8d28\u91cf\u5dee\u8981\u88ab\u62d2\u7edd\u3001\u4e22\u5f03\u6389\uff0c\u5982\u6b64\u83b7\u5f97\u4e00\u4e2a\u7531\u8fd9\u4e9bcheckpoint\u751f\u6210\u7684\uff0c\u4f46\u8d28\u91cf\u53c8\u9ad8\u4e8e\u8fd9\u4e9bcheckpoint\u5e73\u5747\u6c34\u5e73\u7684\u6570\u636e\u96c6\uff0c\u4ece\u800c\u7ee7\u7eed\u8bad\u7ec3\u3002\u8fd9\u4e2a\u8fc7\u7a0b\u4e5f\u88ab\u79f0\u4e3a\u62d2\u7edd\u91c7\u6837<\/span>\uff08Rejection Sampling\uff09<\/span>\u3002<\/span><\/section>\n

    <\/span><\/section>\n
    \u4f7f\u7528\u8fd980\u591a\u4e07\u4e2a\u6570\u636e\u6837\u672c\u5bf9\u6a21\u578b\u8fdb\u4e00\u6b65\u5fae\u8c03\u540e\uff0c\u6a21\u578b\u4e0d\u4ec5\u6709\u4e86\u5f3a\u5927\u7684\u601d\u7ef4\u63a8\u7406\u80fd\u529b\uff0c\u8fd8\u5177\u5907\u4e86\u5176\u5b83\u5404\u65b9\u9762\u7684\u80fd\u529b\u3002\u73b0\u5728\u6700\u540e\u4e00\u6b65\u5c31\u662f\u8981\u8fdb\u4e00\u6b65\u63d0\u9ad8\u6a21\u578b\u7684\u63a8\u7406\u80fd\u529b\u4ee5\u53ca\u6709\u7528\u6027\uff0c\u5e76\u4f7f\u5176\u8f93\u51fa\u65e0\u5bb3\u3002\u8fd9\u4e5f\u662f\u7b2c\u56db\u9636\u6bb5\u7684\u8fdb\u4e00\u6b65\u5f3a\u5316\u5b66\u4e60\u8981\u505a\u7684\u4e8b\u60c5\u3002\u5bf9\u7528\u4e8e\u63d0\u5347\u5176\u63a8\u7406\u80fd\u529b\u7684\u6570\u636e\uff0c\u53ef\u4ee5\u9075\u5faaDeepSeek-R1-Zero\u7684\u65b9\u6cd5\u83b7\u5f97\uff0c\u800c\u7528\u4e8e\u63d0\u5347\u6709\u7528\u6027\u548c\u65e0\u5bb3\u6027\u7684\u6570\u636e\uff0c\u5c31\u9700\u8981\u6536\u96c6\u6a21\u578b\u5bf9\u4e8eprompt\u7684\u56de\u7b54\u5e76\u4eba\u5de5\u5206\u6790\uff0c\u6807\u6ce8\u51fa\u6709\u5bb3\u90e8\u5206\u7684\u6570\u636e\uff0c\u4f7f\u7528\u8fd9\u4e9b\u6807\u6ce8\u597d\u7684\u6570\u636e\u53bb\u505a\u5f3a\u5316\u5b66\u4e60\u3002\u8fd9\u4e5f\u88ab\u79f0\u4f5c\u4ece\u4eba\u7c7b\u53cd\u9988\u4e2d\u7684\u5f3a\u5316\u5b66\u4e60<\/span>\uff08Reinforcement Learning from Human Feedback\uff09<\/span>\u3002<\/span><\/section>\n

    <\/span><\/section>\n

    \u603b\u7684\u6765\u8bf4\uff0cDeepseek-R1\u7684\u8bad\u7ec3\u5206\u4e3a\u56db\u9636\u6bb5\uff0c\u4e24\u4e2a\u76d1\u7763\u5f0f\u5fae\u8c03\u9636\u6bb5\uff0c\u4e24\u4e2aRL\u9636\u6bb5\uff1a<\/span><\/p>\n

      \n
    • \n

      \u7b2c\u4e00\u9636\u6bb5\uff1a\u51b7\u542f\u52a8\u76d1\u7763\u5fae\u8c03\uff0c\u57f9\u517b\u6b63\u786e<\/span>\uff08\u7b26\u5408\u4eba\u7c7b\u504f\u597d\uff09<\/span>\u7684\u8bed\u8a00\u4e60\u60ef\u3001\u6fc0\u53d1\u6a21\u578b\u7684\u63a8\u7406\u6f5c\u80fd\u3002<\/span><\/p>\n<\/li>\n

    • \n

      \u7b2c\u4e8c\u9636\u6bb5\uff1a\u5927\u89c4\u6a21\u5f3a\u5316\u5b66\u4e60\uff0c\u672c\u9636\u6bb5\u4e13\u6ce8\u4e8e\u63d0\u5347\u6a21\u578b\u7684\u63a8\u7406\u5bc6\u96c6\u4efb\u52a1\u7684\u80fd\u529b\uff0c\u5e76\u8bad\u7ec3\u6a21\u578b\u5728\u56de\u7b54\u95ee\u9898\u65f6\u5e94\u4fdd\u6301\u8bed\u8a00\u4e00\u81f4\u3002<\/span><\/p>\n<\/li>\n

    • \n

      \u7b2c\u4e09\u9636\u6bb5\uff1a\u5927\u89c4\u6a21\u76d1\u7763\u5fae\u8c03\uff0c\u7ed3\u5408\u66f4\u5e7f\u9614\u9886\u57df\u7684\u6570\u636e\uff0c\u63d0\u9ad8\u6a21\u578b\u5176\u4ed6\u65b9\u9762\u7684\u901a\u7528\u80fd\u529b\u3002\u672c\u9636\u6bb5\u8fd8\u5bf9\u63a8\u7406\u4efb\u52a1\u548c\u975e\u63a8\u7406\u4efb\u52a1\u8fdb\u884c\u5206\u5f00\u8bad\u7ec3\u3002<\/span><\/p>\n<\/li>\n

    • \n
      \u7b2c\u56db\u9636\u6bb5\uff1a\u8fdb\u4e00\u6b65\u5f3a\u5316\u5b66\u4e60\uff0c\u4ece\u800c\u8fdb\u4e00\u6b65\u63d0\u9ad8\u63a8\u7406\u80fd\u529b\u548c\u54cd\u5e94\u7684\u6709\u6548\u6027\uff0c\u5e76\u51cf\u5c11\u5176\u8f93\u51fa\u7684\u6709\u5bb3\u5185\u5bb9\u3002<\/span><\/section>\n<\/li>\n<\/ul>\n

      <\/span><\/section>\n
      \u53ef\u89c1\u6a21\u578b\u7684\u4e3b\u8981\u63a8\u7406\u80fd\u529b\u6d8c\u73b0\u81ea\u7b2c\u4e00\u548c\u7b2c\u4e8c\u9636\u6bb5\uff0c\u7b2c\u4e09\u7b2c\u56db\u9636\u6bb5\u66f4\u50cf\u90fd\u662f\u540e\u8bad\u7ec3<\/span>\uff08post-training\uff09<\/span>\u3002\u7406\u8bba\u4e0a\u8fd8\u53ef\u4ee5\u6709\u7b2c\u4e94\u9636\u6bb5\u76d1\u7763\u5fae\u8c03\u3001\u7b2c\u516d\u9636\u6bb5\u5f3a\u5316\u5b66\u4e60\uff0c\u7b2c\u4e03\u9636\u6bb5\u76d1\u7763\u5fae\u8c03\u3001\u7b2c\u516b\u9636\u6bb5\u5f3a\u5316\u5b66\u4e60\u2026\u2026\uff0c\u4ece\u800c\u4e0d\u65ad\u8fed\u4ee3\u63d0\u9ad8\u6a21\u578b\u7684\u80fd\u529b\u3002<\/span><\/section>\n


      <\/span><\/h3>\n

      2.4 \u84b8\u998f\u6280\u672f<\/span><\/strong><\/span><\/h3>\n

      <\/span><\/section>\n
      DeepSeek\u56e2\u961f\u5f00\u6e90\u4e86\u516d\u4e2a\u57fa\u4e8eQwen\u548cLlama\u7684\u84b8\u998f\u6a21\u578b\uff0c\u5e2e\u52a9\u5c0f\u578b\u6a21\u578b\u63d0\u5347\u63a8\u7406\u80fd\u529b\u3002\u84b8\u998f\u6280\u672f\u5c06\u5927\u578b\u6a21\u578b\u7684\u63a8\u7406\u80fd\u529b\u4f20\u9012\u5230\u5c0f\u578b\u6a21\u578b\uff0c\u4f7f\u5f97\u5c0f\u578b\u6a21\u578b\u5728\u63a8\u7406\u4efb\u52a1\u4e2d\u8868\u73b0\u4f18\u5f02\u3002<\/span><\/section>\n

      <\/span><\/section>\n
      2015\u5e74\uff0cGeoffrey Hinton\u3001Oriol Vinyals \u548cJeff Dean\u7b49\u5b66\u8005[1]\u63d0\u51fa\u4e86\u5728AI\u9886\u57df\u7684\u77e5\u8bc6\u84b8\u998f\u6280\u672f\uff0c\u5373\u5c06\u5927\u578b\u3001\u590d\u6742\u6a21\u578b<\/span>\uff08\u6559\u5e08\u6a21\u578b\uff09<\/span>\u7684\u77e5\u8bc6\u8f6c\u79fb\u5230\u5c0f\u578b\u3001\u7b80\u5355\u6a21\u578b<\/span>\uff08\u5b66\u751f\u6a21\u578b\uff09<\/span>\u4e0a\u53bb\u7684\u6280\u672f\u3002DeepSeek\u56e2\u961f\u53d1\u73b0\uff0c\u4e0d\u4ec5\u4ec5\u662f\u77e5\u8bc6\uff0c\u63a8\u7406\u80fd\u529b\u4e5f\u53ef\u4ee5\u4ece\u5927\u6a21\u578b\u84b8\u998f\u4f20\u9012\u5230\u5c0f\u6a21\u578b\u3002<\/span><\/section>\n

      <\/span><\/section>\n
      DeepSeek\u56e2\u961f\u7528DeepSeek-R1\u7b2c\u4e09\u9636\u6bb5\u6574\u7406\u5f97\u5230\u768480\u4e07\u4e2a\u6837\u672c\u5bf9\u4e00\u4e9b\u5f00\u6e90\u6a21\u578b\u5982Qwen2.5\u548cLlama3.3\u7684\u5c0f\u6a21\u578b\u7248\u672c\u8fdb\u884c\u4e86\u76f4\u63a5\u5fae\u8c03\u3002\u5b83\u4eec\u53d1\u73b0\uff0c\u4ec5\u4ec5\u662f\u5982\u6b64\u7b80\u5355\u7684\u5fae\u8c03\u5c31\u80fd\u5927\u5927\u63d0\u5347\u5c0f\u6a21\u578b\u7684\u63a8\u7406\u80fd\u529b\uff0c\u800c\u4e14\u8fd9\u79cd\u63d0\u5347\u7684\u5e45\u5ea6\u662f\u4ec5\u51ed\u5927\u89c4\u6a21\u5f3a\u5316\u5b66\u4e60\u6240\u4e0d\u80fd\u5f97\u5230\u7684\u3002\u4e3a\u6b64\uff0c\u5b83\u4eec\u4f7f\u7528Qwen-32B-Base\u505a\u4e86\u4e00\u4e2a\u5b9e\u9a8c\uff0c\u5bf9\u5176\u5206\u522b\u505a\u4e86\u4e0eDeepseek-R1-Zero\u76f8\u540c\u5927\u89c4\u6a21\u7684\u5f3a\u5316\u5b66\u4e60[2]\uff0c\u4ee5\u53ca\u4eceDeepseek-R1\u505a\u84b8\u998f\u3002\u5b9e\u9a8c\u7ed3\u679c\u662f\uff0c\u5927\u89c4\u6a21\u5f3a\u5316\u5b66\u4e60\u540e\u5f97\u5230\u7684\u7248\u672c\uff0cDeepSeek-R1-Zero-Qwen-32B\uff0c\u4e0e\u76ee\u524d32B\u6700\u5f3a\u7684\u63a8\u7406\u6a21\u578bQwQ-32B-Preview\u80fd\u529b\u76f8\u4f3c\uff0c\u7136\u800c\u4eceDeepseek-R1\u84b8\u998f\u5f97\u5230\u7684DeepSeek-R1-Distill-Qwen-32B\u8868\u73b0\u5374\u8fdc\u8d85\u524d\u4e24\u8005\u3002<\/span><\/section>\n

      <\/span><\/section>\n
      \u81f3\u6b64\u6211\u4eec\u4e5f\u80fd\u6682\u4e14\u5f97\u51fa\u7ed3\u8bba\uff1a\u6a21\u578b\u84b8\u998f\u6280\u672f\u975e\u5e38\u6709\u7528\uff0c\u76f8\u6bd4\u4e4b\u4e0b\uff0c\u5c0f\u6a21\u578b\u505a\u5927\u89c4\u6a21\u5f3a\u5316\u5b66\u4e60\u4e0d\u4ec5\u6d88\u8017\u5927\u91cf\u7b97\u529b\uff0c\u800c\u4e14\u7ed3\u679c\u8fd8\u4e0d\u5982\u4ece\u5927\u6a21\u578b\u84b8\u998f\u6240\u5f97\u3002\u7136\u800c\uff0c\u8fd9\u4e00\u5207\u7684\u524d\u63d0\u662f\u6709\u8fd9\u4e48\u4e00\u4e2a\u6709\u5f3a\u80fd\u529b\u7684\u5927\u6a21\u578b\u3002\u56e0\u6b64\uff0c\u8981\u83b7\u5f97\u66f4\u5f3a\u7684\u63a8\u7406\u80fd\u529b\uff0c\u8fd8\u662f\u9700\u8981\u66f4\u5f3a\u7684\u5927\u6a21\u578b\u548c\u66f4\u5927\u89c4\u6a21\u7684\u5f3a\u5316\u5b66\u4e60\u3002<\/span><\/section>\n

      <\/span><\/section>\n

      2.5 \u6027\u80fd\u8868\u73b0<\/span><\/strong><\/span><\/h3>\n

      <\/span><\/section>\n
      \u4e0b\u56fe\u663e\u793a\u4e86 DeepSeek \u8fdb\u884c\u7684\u6d4b\u8bd5\u7ed3\u679c\uff0c\u8be5\u6d4b\u8bd5\u9488\u5bf9 OpenAI \u7684 o1 \u6a21\u578b\u5728\u6570\u5b66\u3001\u7f16\u7801\u548c\u63a8\u7406\u4efb\u52a1\u4e0a\u6d4b\u8bd5\u4e86\u5176\u5927\u578b\u8bed\u8a00\u6a21\u578b\u7684\u4e09\u4e2a\u7248\u672c\u3002DeepSeek-R1 \u5728\u6570\u5b66\u548c\u7f16\u7801\u57fa\u51c6\u6d4b\u8bd5\u4e2d\u51fb\u8d25\u6216\u4e0eo1\u76f8\u5ab2\u7f8e\u3002[3]<\/span><\/section>\n

      <\/span><\/section>\n
      <\/section>\n


      <\/span><\/h4>\n

      2.5.1 \u6559\u80b2\u9886\u57df\u4efb\u52a1<\/span><\/strong><\/h4>\n

      <\/span><\/section>\n

      \u5728MMLU\u3001MMLU-Pro\u548cGPQA Diamond\u7b49\u77e5\u8bc6\u57fa\u51c6\u6d4b\u8bd5\u8868\u660e\uff0cDeepSeek-R1 \u5728STEM<\/span>\uff08\u79d1\u5b66\u3001\u6280\u672f\u3001\u5de5\u7a0b\u548c\u6570\u5b66\uff09<\/span>\u76f8\u5173\u95ee\u9898\u4e0a\u76f8\u6bd4 DeepSeek-V3 \u5177\u6709\u663e\u8457\u7684\u6539\u8fdb\u3002\u7814\u7a76\u8005\u5c06\u5176\u5f52\u56e0\u4e8e\u5927\u89c4\u6a21\u5f3a\u5316\u5b66\u4e60<\/span>\uff08reinforcement learning, RL\uff09<\/span>\u7684\u4f7f\u7528\u3002<\/span><\/p>\n

        \n
      • \n

        MMLU<\/span> (Massive Multitask Language Understanding)<\/span> \u662f\u4e00\u9879\u6db5\u76d6\u591a\u5b66\u79d1\u3001\u591a\u9886\u57df\u7684\u5927\u89c4\u6a21\u57fa\u51c6\u6d4b\u8bd5\uff0c\u65e8\u5728\u8bc4\u4f30\u8bed\u8a00\u6a21\u578b\u5728\u4e0d\u540c\u4efb\u52a1\u548c\u5b66\u79d1\u4e2d\u7684\u8868\u73b0\u3002\u8fd9\u4e9b\u4efb\u52a1\u5305\u62ec\u4eba\u6587\u3001\u79d1\u5b66\u3001\u793e\u4f1a\u79d1\u5b66\u548c\u6570\u5b66\u7b49\u591a\u4e2a\u9886\u57df\u7684\u9ad8\u4e2d\u81f3\u4e13\u4e1a\u6c34\u5e73\u7684\u95ee\u9898\u3002DeepSeek-R1\u5728MMLU\u57fa\u51c6\u6d4b\u8bd5\u4e2d\u53d6\u5f97\u4e86 90.8% \u7684Pass@1\u51c6\u786e\u7387\uff0c\u663e\u8457\u4f18\u4e8e DeepSeek-V3\uff0c\u5c55\u793a\u4e86\u5176\u5f3a\u5927\u7684\u77e5\u8bc6\u5904\u7406\u548c\u63a8\u7406\u80fd\u529b\u3002<\/span><\/p>\n<\/li>\n

      • \n

        MMLU-Pro\u662f\u4e00\u4e2a\u66f4\u52a0\u590d\u6742\u548c\u9c81\u68d2\u7684\u591a\u4efb\u52a1\u8bed\u8a00\u7406\u89e3\u57fa\u51c6\uff0c\u8bbe\u8ba1\u7528\u4e8e\u6311\u6218\u6a21\u578b\u5728\u66f4\u9ad8\u96be\u5ea6\u4efb\u52a1\u4e2d\u7684\u8868\u73b0\u3002\u4e0eMMLU\u76f8\u6bd4\uff0cMMLU-Pro\u66f4\u5f3a\u8c03\u63a8\u7406\u80fd\u529b\u548c\u8de8\u9886\u57df\u7684\u7efc\u5408\u6027\u3002DeepSeek-R1 \u5728\u8fd9\u4e00\u57fa\u51c6\u4e2d\u53d6\u5f97\u4e86 84.0% \u7684\u51c6\u786e\u7387\uff0c\u8d85\u8d8a\u4e86 DeepSeek-V3\uff0c\u5e76\u5728\u6311\u6218\u6027\u66f4\u9ad8\u7684\u4efb\u52a1\u4e2d\u5c55\u73b0\u4e86\u5353\u8d8a\u7684\u63a8\u7406\u80fd\u529b\u3002<\/span><\/p>\n<\/li>\n

      • \n
        GPQA Diamond<\/span> (Graduate-Level Google-Proof Q&A Benchmark) <\/span>\u662f\u4e00\u4e2a\u9488\u5bf9\u7814\u7a76\u7ea7\u95ee\u7b54\u4efb\u52a1\u8bbe\u8ba1\u7684\u57fa\u51c6\uff0c\u95ee\u9898\u5f80\u5f80\u9700\u8981\u590d\u6742\u7684\u63a8\u7406\u548c\u6df1\u5ea6\u5206\u6790\u624d\u80fd\u56de\u7b54\u3002DeepSeek-R1 \u5728\u8fd9\u4e00\u57fa\u51c6\u4e2d\u7684\u8868\u73b0\u8fbe\u5230 71.5% \u7684 Pass@1 \u51c6\u786e\u7387\uff0c\u663e\u8457\u9ad8\u4e8e DeepSeek-V3\uff0c\u8fdb\u4e00\u6b65\u8bc1\u660e\u4e86\u5176\u5728\u5904\u7406\u590d\u6742\u95ee\u9898\u4e0a\u7684\u6f5c\u529b\u3002<\/span><\/section>\n<\/li>\n<\/ul>\n


        <\/span><\/h4>\n

        2.5.2 \u957f\u4e0a\u4e0b\u6587\u4efb\u52a1<\/span><\/strong><\/h4>\n

        <\/span><\/section>\n

        DeepSeek-R1 \u5728FRAMES<\/span>\uff08\u4f9d\u8d56\u957f\u4e0a\u4e0b\u6587\u7684\u95ee\u7b54\u4efb\u52a1\uff09<\/span>\u57fa\u51c6\u6d4b\u8bd5\u4e2d\u5c55\u73b0\u4e86\u5f3a\u5927\u7684\u6587\u6863\u5206\u6790\u80fd\u529b\u3002<\/span><\/p>\n

          \n
        • \n
          FRAMES \u662f\u4e00\u9879\u8bc4\u4f30\u6a21\u578b\u5728\u957f\u4e0a\u4e0b\u6587\u73af\u5883\u4e2d\u95ee\u7b54\u80fd\u529b\u7684\u57fa\u51c6\u6d4b\u8bd5\uff0c\u65e8\u5728\u68c0\u6d4b\u5176\u6587\u6863\u5206\u6790\u548c\u4fe1\u606f\u63d0\u53d6\u80fd\u529b\u3002DeepSeek-R1 \u5728\u8be5\u6d4b\u8bd5\u4e2d\u53d6\u5f97\u4e86 82.5% \u7684\u51c6\u786e\u7387\uff0c\u8fdc\u8d85 DeepSeek-V3\uff0c\u5c55\u73b0\u4e86\u5176\u5728\u590d\u6742\u6587\u6863\u5206\u6790\u4efb\u52a1\u4e2d\u7684\u663e\u8457\u4f18\u52bf\u3002<\/span><\/section>\n<\/li>\n<\/ul>\n


          <\/span><\/h4>\n

          2.5.3 \u4e8b\u5b9e\u6027\u95ee\u7b54<\/span><\/strong><\/h4>\n

          <\/span><\/section>\n
          \u5728SimpleQA\u57fa\u51c6\u6d4b\u8bd5\u4e2d\uff0cDeepSeek-R1 \u8d85\u8d8a\u4e86 DeepSeek-V3\uff0c\u8bc1\u660e\u4e86\u5176\u5904\u7406\u57fa\u4e8e\u4e8b\u5b9e\u67e5\u8be2\u7684\u80fd\u529b\u3002\u4f46\u662f\u5728\u4e2d\u6587 SimpleQA \u57fa\u51c6\u4e0a\uff0cDeepSeek-R1 \u7684\u8868\u73b0\u4e0d\u5982 DeepSeek-V3\uff0c\u4e3b\u8981\u7531\u4e8e\u5b89\u5168\u5f3a\u5316\u5b66\u4e60<\/span>\uff08safety RL\uff09<\/span>\u5bfc\u81f4\u6a21\u578b\u62d2\u7edd\u56de\u7b54\u67d0\u4e9b\u95ee\u9898\u3002<\/span><\/section>\n


          <\/span><\/h4>\n

          2.5.4 \u6307\u4ee4\u6267\u884c\u4e0e\u89c4\u8303\u5316\u8f93\u51fa<\/span><\/strong><\/h4>\n

          <\/span><\/section>\n

          DeepSeek-R1 \u5728IF-Eval\u57fa\u51c6\u6d4b\u8bd5\u4e2d\u8868\u73b0\u4f18\u5f02\u3002\u8fd9\u4e2a\u6d4b\u8bd5\u4e13\u6ce8\u4e8e\u8bc4\u4f30\u6a21\u578b\u9075\u5faa\u683c\u5f0f\u6307\u4ee4<\/span>\uff08format instructions\uff09<\/span>\u7684\u80fd\u529b\u3002\u8fd9\u4e9b\u6539\u8fdb\u4e3b\u8981\u5f52\u56e0\u4e8e\u76d1\u7763\u5fae\u8c03<\/span>\uff08supervised fine-tuning, SFT\uff09<\/span>\u548c\u5f3a\u5316\u5b66\u4e60<\/span>\uff08RL\uff09<\/span>\u540e\u671f\u9636\u6bb5\u4e2d\u6307\u4ee4\u9075\u5faa\u6570\u636e\u7684\u5f15\u5165\uff1a<\/span><\/p>\n

            \n
          • \n
            IF-Eval<\/span> (Instruction Following Evaluation) <\/span>\u65e8\u5728\u8bc4\u4f30\u6a21\u578b\u9075\u5faa\u683c\u5f0f\u5316\u6307\u4ee4\u7684\u80fd\u529b\uff0c\u662f\u8861\u91cf\u5176\u5728\u4e25\u683c\u6307\u4ee4\u6267\u884c\u4e2d\u7684\u8868\u73b0\u7684\u91cd\u8981\u57fa\u51c6\u3002DeepSeek-R1 \u5728 IF-Eval \u4e2d\u8868\u73b0\u5353\u8d8a\uff0c\u5f97\u76ca\u4e8e\u8bad\u7ec3\u8fc7\u7a0b\u4e2d\u52a0\u5165\u4e86\u6307\u4ee4\u9075\u5faa\u6570\u636e\u3002\u8fd9\u79cd\u6539\u8fdb\u663e\u793a\u51fa DeepSeek-R1 \u5728\u683c\u5f0f\u5316\u548c\u7ed3\u6784\u5316\u4efb\u52a1\u4e2d\u7684\u663e\u8457\u4f18\u52bf\u3002<\/span><\/section>\n<\/li>\n<\/ul>\n


            <\/span><\/h4>\n

            2.5.5 \u5199\u4f5c\u548c\u5f00\u653e\u95ee\u7b54\u4efb\u52a1<\/span><\/strong><\/h4>\n

            <\/span><\/section>\n

            \u5728AlpacaEval2.0\u548cArenaHard\u57fa\u51c6\u6d4b\u8bd5\u4e2d\uff0cDeepSeek-R1 \u8868\u73b0\u51fa\u8272\uff0c\u8fdb\u4e00\u6b65\u8868\u660e\u5176\u5728\u5199\u4f5c\u4efb\u52a1\u548c\u5f00\u653e\u95ee\u7b54<\/span>\uff08open-domain question answering\uff09<\/span>\u4e2d\u7684\u4f18\u52bf\uff0c\u5f3a\u8c03\u4e86\u5927\u89c4\u6a21\u5f3a\u5316\u5b66\u4e60\u7684\u6cdb\u5316\u4f18\u52bf\uff0c\u4e0d\u4ec5\u589e\u5f3a\u4e86\u63a8\u7406\u80fd\u529b\uff0c\u8fd8\u63d0\u5347\u4e86\u8de8\u9886\u57df\u7684\u8868\u73b0\u80fd\u529b\u3002\u6b64\u5916\uff0cDeepSeek-R1 \u751f\u6210\u7684\u6458\u8981\u957f\u5ea6\u7b80\u6d01\uff0c\u8868\u660e DeepSeek-R1 \u5728\u57fa\u4e8e GPT \u7684\u8bc4\u4f30\u4e2d\u907f\u514d\u4e86\u5f15\u5165\u957f\u5ea6\u504f\u5dee<\/span>\uff08length bias\uff09<\/span>\uff0c\u8fdb\u4e00\u6b65\u5de9\u56fa\u4e86\u5176\u5728\u591a\u4efb\u52a1\u4e2d\u7684\u7a33\u5065\u6027\u3002<\/span><\/p>\n

              \n
            • \n

              AlpacaEval 2.0 \u662f\u4e00\u4e2a\u8bc4\u4f30\u6a21\u578b\u5728\u5f00\u653e\u5f0f\u95ee\u7b54\u4efb\u52a1\u4e2d\u80fd\u529b\u7684\u57fa\u51c6\uff0c\u6d4b\u8bd5\u6a21\u578b\u5728\u975e\u8003\u8bd5\u5bfc\u5411\u4efb\u52a1<\/span>\uff08\u5982\u5199\u4f5c\u548c\u56de\u7b54\u590d\u6742\u95ee\u9898\uff09<\/span>\u4e2d\u7684\u8868\u73b0\u3002DeepSeek-R1 \u5728\u8fd9\u4e00\u57fa\u51c6\u4e2d\u5b9e\u73b0\u4e86 87.6% \u7684\u80dc\u7387<\/span>\uff08win-rate\uff09<\/span>\uff0c\u663e\u8457\u4f18\u4e8e DeepSeek-V3\uff0c\u8bc1\u660e\u4e86\u5176\u5f3a\u5927\u7684\u5199\u4f5c\u80fd\u529b\u548c\u5f00\u653e\u57df\u95ee\u7b54\u80fd\u529b\u3002<\/span><\/p>\n<\/li>\n

            • \n
              ArenaHard \u662f\u4e00\u4e2a\u4ee5\u5bf9\u8bdd\u8bc4\u4f30\u4e3a\u4e3b\u7684\u9ad8\u96be\u5ea6\u57fa\u51c6\u6d4b\u8bd5\uff0c\u4f7f\u7528 GPT-4 \u4f5c\u4e3a\u88c1\u5224\u6765\u6bd4\u8f83\u6a21\u578b\u5728\u590d\u6742\u5bf9\u8bdd\u4e2d\u7684\u8868\u73b0\u3002DeepSeek-R1 \u5728\u8be5\u57fa\u51c6\u4e2d\u5b9e\u73b0\u4e86 92.3% \u7684\u80dc\u7387\uff0c\u5c55\u73b0\u4e86\u5176\u5728\u590d\u6742\u5bf9\u8bdd\u4efb\u52a1\u4e2d\u7684\u4f18\u8d8a\u6027\u80fd\uff0c\u540c\u65f6\u907f\u514d\u4e86\u7531\u4e8e\u8f93\u51fa\u957f\u5ea6\u5bfc\u81f4\u7684\u504f\u5dee\u3002<\/span><\/section>\n<\/li>\n<\/ul>\n


              <\/span><\/h4>\n

              2.5.6 \u6570\u5b66\u548c\u7f16\u7a0b\u4efb\u52a1<\/span><\/strong><\/h4>\n

              <\/span><\/strong><\/section>\n

              \u5728\u6570\u5b66<\/span>\uff08\u5982AIME 2024 \u548cMATH-500\uff09<\/span>\u548c\u7f16\u7a0b\u4efb\u52a1<\/span>\uff08\u5982LiveCodeBench\u548cCodeforces\uff09<\/span>\u4e2d\uff0cDeepSeek-R1 \u7684\u8868\u73b0\u663e\u8457\u4f18\u4e8e\u5176\u4ed6\u6a21\u578b\uff0c\u5e76\u4e0eOpenAI-o1-1217 \u76f8\u5f53\u3002<\/span><\/p>\n

                \n
              • \n

                AIME\uff0c\u5168\u79f0 American Invitational Mathematics Examination\uff0c\u662f\u4e00\u9879\u9762\u5411\u4e2d\u5b66\u751f\u7684\u9ad8\u6c34\u5e73\u6570\u5b66\u7ade\u8d5b\uff0c\u5176\u96be\u5ea6\u4ecb\u4e8e AMC<\/span>\uff08\u7f8e\u56fd\u6570\u5b66\u7ade\u8d5b\uff09<\/span>\u548c IMO<\/span>\uff08\u56fd\u9645\u6570\u5b66\u5965\u6797\u5339\u514b\u7ade\u8d5b\uff09<\/span>\u4e4b\u95f4\uff0c\u4eab\u6709\u6781\u9ad8\u7684\u58f0\u8a89\u4e0e\u542b\u91d1\u91cf\u3002\u4e0e AMC \u76f8\u6bd4\uff0cAIME \u7684\u8bd5\u9898\u66f4\u5177\u6311\u6218\u6027\uff0c\u9700\u8981\u53c2\u8d5b\u8005\u5177\u5907\u66f4\u5f3a\u7684\u6570\u5b66\u63a8\u7406\u80fd\u529b\u548c\u95ee\u9898\u89e3\u51b3\u6280\u5de7\u3002\u540c\u65f6\uff0cAIME \u4e5f\u662f\u9009\u62d4\u7f8e\u56fd\u6570\u5b66\u5965\u6797\u5339\u514b\u7ade\u8d5b<\/span>\uff08USAMO\uff09<\/span>\u548c\u56fd\u9645\u6570\u5b66\u5965\u6797\u5339\u514b\u7ade\u8d5b<\/span>\uff08IMO\uff09<\/span>\u56fd\u5bb6\u961f\u7684\u91cd\u8981\u73af\u8282\u4e4b\u4e00\u3002\u5728\u8fd9\u4e00\u6d4b\u8bd5\u4e2d\uff0cDeepSeek-R1 \u8fbe\u5230\u4e86 79.8% \u7684 Pass@1 \u51c6\u786e\u7387\uff0c\u7565\u9ad8\u4e8e OpenAI o1-1217 \u6a21\u578b\u7684 79.2%\u3002\u8fd9\u4e00\u7ed3\u679c\u8868\u660e\uff0cDeepSeek-R1 \u5177\u5907\u4ee5\u8f83\u9ad8\u51c6\u786e\u7387\u89e3\u51b3\u9ad8\u4e2d\u751f\u6c34\u5e73\u590d\u6742\u6570\u5b66\u95ee\u9898\u7684\u80fd\u529b\u3002<\/span><\/p>\n<\/li>\n

              • \n

                MATH-500 \u6570\u636e\u96c6\u6536\u5f55\u4e86 500 \u9053\u96be\u5ea6\u6781\u9ad8\u7684\u6570\u5b66\u7ade\u8d5b\u9898\uff0c\u6db5\u76d6\u4ee3\u6570\u3001\u51e0\u4f55\u3001\u6570\u8bba\u3001\u7ec4\u5408\u6570\u5b66\u7b49\u591a\u4e2a\u9886\u57df\u3002\u8fd9\u4e9b\u9898\u76ee\u8981\u6c42\u6df1\u539a\u7684\u6570\u5b66\u77e5\u8bc6\u50a8\u5907\u4ee5\u53ca\u590d\u6742\u7684\u63a8\u7406\u6b65\u9aa4\u624d\u80fd\u89e3\u7b54\u3002\u5728\u8fd9\u4e00\u6d4b\u8bd5\u4e2d\uff0cDeepSeek-R1 \u4ee5 97.3% \u7684\u60ca\u4eba\u6210\u7ee9\u8868\u73b0\u51fa\u8272\uff0c\u4e0e OpenAI \u7684 o1-1217 \u6a21\u578b\u6301\u5e73\uff0c\u5e76\u663e\u8457\u8d85\u8d8a\u4e86\u5176\u4ed6\u5bf9\u6bd4\u6a21\u578b\u3002\u8fd9\u4e00\u8868\u73b0\u8868\u660e\uff0cDeepSeek-R1 \u5df2\u7ecf\u80fd\u591f\u80dc\u4efb\u5927\u5b66\u6c34\u5e73\u7684\u6570\u5b66\u7ade\u8d5b\u9898\u89e3\u7b54\uff0c\u5c55\u73b0\u4e86\u5176\u5353\u8d8a\u7684\u6570\u5b66\u63a8\u7406\u80fd\u529b\u3002<\/span><\/p>\n<\/li>\n

              • \n
                Codeforces \u662f\u5168\u7403\u77e5\u540d\u7684\u7f16\u7a0b\u7ade\u8d5b\u5e73\u53f0\uff0c\u4ee5\u9ad8\u96be\u5ea6\u548c\u5f3a\u7ade\u4e89\u6027\u95fb\u540d\uff0c\u5438\u5f15\u4e86\u6765\u81ea\u4e16\u754c\u5404\u5730\u7684\u9876\u5c16\u7a0b\u5e8f\u5458\u53c2\u8d5b\u3002\u5176\u7ade\u8d5b\u9898\u76ee\u901a\u5e38\u9700\u8981\u9009\u624b\u5177\u5907\u624e\u5b9e\u7684\u7b97\u6cd5\u548c\u6570\u636e\u7ed3\u6784\u77e5\u8bc6\uff0c\u4ee5\u53ca\u4f18\u79c0\u7684\u7f16\u7a0b\u80fd\u529b\u3002\u5728 Codeforces \u5e73\u53f0\u4e0a\uff0cDeepSeek-R1 \u83b7\u5f97\u4e86 2029 \u7684 Elo \u8bc4\u5206\uff0c\u8d85\u8fc7\u4e86 96.3% \u7684\u4eba\u7c7b\u7a0b\u5e8f\u5458\u3002\u8fd9\u4e00\u7ed3\u679c\u8868\u660e\uff0cDeepSeek-R1 \u7684\u7f16\u7a0b\u80fd\u529b\u5df2\u7ecf\u8d85\u8d8a\u4e86\u7edd\u5927\u591a\u6570\u4eba\u7c7b\u7a0b\u5e8f\u5458\uff0c\u6210\u4e3a\u7b97\u6cd5\u548c\u7f16\u7a0b\u9886\u57df\u7684\u5f3a\u5927\u7ade\u4e89\u8005\u3002<\/span><\/section>\n<\/li>\n<\/ul>\n


                <\/span><\/h4>\n

                2.5.7 \u84b8\u998f\u6a21\u578b\u7684\u6027\u80fd\u8bc4\u4ef7<\/span><\/strong><\/h4>\n

                <\/span><\/section>\n
                \u84b8\u998f DeepSeek-R1 \u7684\u8f93\u51fa\u4f7f\u5c0f\u578b\u6a21\u578b<\/span>\uff08\u5982 DeepSeek-R1-Distill-Qwen-7B \u548c DeepSeek-R1-Distill-Qwen-32B\uff09<\/span>\u5728\u591a\u4e2a\u57fa\u51c6\u4e0a\u8d85\u8d8a\u4e86 GPT-4o-0513 \u7b49\u975e\u63a8\u7406\u6a21\u578b\u548c\u5176\u4ed6\u5bf9\u6bd4\u6a21\u578b\u3002\u8fd9\u8868\u660e\u84b8\u998f\u6280\u672f\u7684\u6709\u6548\u6027\u3002<\/span><\/section>\n


                <\/span><\/h3>\n

                2.6 \u5f00\u6e90\u8d21\u732e<\/span><\/strong><\/span><\/h3>\n

                <\/span><\/strong><\/span><\/section>\n

                DeepSeek\u56e2\u961f\u5f00\u6e90\u4e86\u4ee5\u4e0b\u6a21\u578b\uff0c\u53ef\u4ee5\u5728 GitHub \u4e3b\u9875\u4e0b\u8f7d\uff1a<\/span><\/p>\n