{"id":38744,"date":"2025-02-22T07:00:58","date_gmt":"2025-02-21T23:00:58","guid":{"rendered":"https:\/\/17aitech.com\/?p=38744"},"modified":"2025-02-22T07:00:58","modified_gmt":"2025-02-21T23:00:58","slug":"%e4%b8%a4%e4%b8%87%e5%ad%97%e9%95%bf%e6%96%87%e6%b7%b1%e5%ba%a6%e8%a7%a3%e5%af%86deepseek-r1%e3%80%81kimi-1-5%ef%bc%8c%e5%bc%ba%e6%8e%a8%e7%90%86%e6%a8%a1%e5%9e%8b%e5%87%ad%e4%bb%80%e4%b9%88%e7%81%ab","status":"publish","type":"post","link":"https:\/\/17aitech.com\/?p=38744","title":{"rendered":"\u4e24\u4e07\u5b57\u957f\u6587\u6df1\u5ea6\u89e3\u5bc6DeepSeek-R1\u3001Kimi 1.5\uff0c\u5f3a\u63a8\u7406\u6a21\u578b\u51ed\u4ec0\u4e48\u706b\u51fa\u5708\uff1f"},"content":{"rendered":"<p>\u6587\u7ae0\u6765\u6e90\u4e8e\u4e92\u8054\u7f51:<a href=\"https:\/\/www.jiqizhixin.com\/articles\/2025-02-21-4\" target=\"_blank\">\u4e24\u4e07\u5b57\u957f\u6587\u6df1\u5ea6\u89e3\u5bc6DeepSeek-R1\u3001Kimi 1.5\uff0c\u5f3a\u63a8\u7406\u6a21\u578b\u51ed\u4ec0\u4e48\u706b\u51fa\u5708\uff1f<\/a><\/p>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-af988c98f6201f82ab3f0b15ab920f7c.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-af988c98f6201f82ab3f0b15ab920f7c.png\"><\/a><\/section>\n<blockquote data-author-name=\"\" data-content-utf8-length=\"166\" data-editid=\"b2ck709k9y80000000\" data-source-title=\"\" data-text=\"AIxiv\u4e13\u680f\u662f\u673a\u5668\u4e4b\u5fc3\u53d1\u5e03\u5b66\u672f\u3001\u6280\u672f\u5185\u5bb9\u7684\u680f\u76ee\u3002\u8fc7\u53bb\u6570\u5e74\uff0c\u673a\u5668\u4e4b\u5fc3AIxiv\u4e13\u680f\u63a5\u6536\u62a5\u9053\u4e862000\u591a\u7bc7\u5185\u5bb9\uff0c\u8986\u76d6\u5168\u7403\u5404\u5927\u9ad8\u6821\u4e0e\u4f01\u4e1a\u7684\u9876\u7ea7\u5b9e\u9a8c\u5ba4\uff0c\u6709\u6548\u4fc3\u8fdb\u4e86\u5b66\u672f\u4ea4\u6d41\u4e0e\u4f20\u64ad\u3002\u5982\u679c\u60a8\u6709\u4f18\u79c0\u7684\u5de5\u4f5c\u60f3\u8981\u5206\u4eab\uff0c\u6b22\u8fce\u6295\u7a3f\u6216\u8005\u8054\u7cfb\u62a5\u9053\u3002\u6295\u7a3f\u90ae\u7bb1\uff1aliyazhou@jiqizhixin.com\uff1bzhaoyunfeng@jiqizhixin.com\" data-type=\"2\" data-url=\"\">\n<section>\n<section>AIxiv\u4e13\u680f\u662f\u673a\u5668\u4e4b\u5fc3\u53d1\u5e03\u5b66\u672f\u3001\u6280\u672f\u5185\u5bb9\u7684\u680f\u76ee\u3002\u8fc7\u53bb\u6570\u5e74\uff0c\u673a\u5668\u4e4b\u5fc3AIxiv\u4e13\u680f\u63a5\u6536\u62a5\u9053\u4e862000\u591a\u7bc7\u5185\u5bb9\uff0c\u8986\u76d6\u5168\u7403\u5404\u5927\u9ad8\u6821\u4e0e\u4f01\u4e1a\u7684\u9876\u7ea7\u5b9e\u9a8c\u5ba4\uff0c\u6709\u6548\u4fc3\u8fdb\u4e86\u5b66\u672f\u4ea4\u6d41\u4e0e\u4f20\u64ad\u3002\u5982\u679c\u60a8\u6709\u4f18\u79c0\u7684\u5de5\u4f5c\u60f3\u8981\u5206\u4eab\uff0c\u6b22\u8fce\u6295\u7a3f\u6216\u8005\u8054\u7cfb\u62a5\u9053\u3002\u6295\u7a3f\u90ae\u7bb1\uff1aliyazhou@jiqizhixin.com\uff1bzhaoyunfeng@jiqizhixin.com<\/section>\n<\/section>\n<\/blockquote>\n<section><\/section>\n<section>\u521a\u521a\u8fc7\u53bb\u7684\u6625\u8282\uff0cDeepSeek-R1\u00a0\u63a8\u7406\u5927\u6a21\u578b\u5f15\u7206\u4e86\u56fd\u5185\u5916 AI \u793e\u533a\uff0c\u5e76\u706b\u51fa\u4e86\u5708\u3002\u6700\u8fd1\uff0c\u5404\u4e2a\u884c\u4e1a\u53c8\u6380\u8d77\u4e86\u63a5\u5165 DeepSeek \u7684\u72c2\u6f6e\uff0c\u5927\u5bb6\u552f\u6050\u843d\u540e\u4e8e\u4eba\u3002<\/section>\n<section><\/section>\n<section><strong>\u5317\u5927 AI \u5bf9\u9f50\u56e2\u961f\u5bf9\u5305\u62ec DeepSeek-R1\u3001Kimi-K1.5\u5728\u5185\u7684\u4e00\u4e9b\u5f3a\u63a8\u7406\u6a21\u578b\u8fdb\u884c\u4e86 2 \u4e07\u5b57\u7684\u6280\u672f\u89e3\u8bfb<\/strong>\uff0c\u4e5f\u662f\u6b64\u524d\u00a0o1 \u89e3\u8bfb\uff08<a data-itemshowtype=\"0\" data-linktype=\"2\" href=\"https:\/\/mp.weixin.qq.com\/s?__biz=MzA3MzI4MjgzMw==&amp;mid=2650934580&amp;idx=1&amp;sn=41c727eb05b277ea855f03962bf7e5a0&amp;scene=21#wechat_redirect\" target=\"_blank\">\u5317\u5927\u5bf9\u9f50\u56e2\u961f\u72ec\u5bb6\u89e3\u8bfb\uff1aOpenAI o1\u5f00\u542f\u300c\u540e\u8bad\u7ec3\u300d\u65f6\u4ee3\u5f3a\u5316\u5b66\u4e60\u65b0\u8303\u5f0f<\/a>\uff09\u7684\u7eed\u4f5c\u3002<a href=\"https:\/\/mp.weixin.qq.com\/s\/W7X5_9uVTstInev3-UjExg\"><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-92bd984929ae33a9307c073b5def292b.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-92bd984929ae33a9307c073b5def292b.png\"><\/a><\/a><\/section>\n<section>\u4ee5\u4e0b\u4e3a\u5b8c\u6574\u7684\u6587\u5b57\u89e3\u8bfb\u7a3f\uff08\u4ee5\u7b2c\u4e00\u4eba\u79f0\u6211\u4eec\u9648\u8ff0\uff09\uff1a<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-1082a2a5b789570f7d634cc59f02e9ad.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-1082a2a5b789570f7d634cc59f02e9ad.png\"><\/a><\/section>\n<section>\u4e0b\u56fe\u662f\u6211\u4eec\u8fd9\u6b21\u8ba8\u8bba\u7684\u4e00\u4e2a\u76ee\u5f55\uff0c\u6db5\u76d6\u4e86\u5305\u62ec DeepSeek-R1\u3001Kimi K1.5 \u7684\u5177\u4f53\u7684\u6280\u672f\u5206\u6790\u548c\u8bb2\u89e3\u3002\u540c\u65f6\u4e5f\u5305\u62ec\u5bf9\u5176\u80cc\u540e\u7684\u793e\u4f1a\u548c\u7ecf\u6d4e\u6548\u76ca\u4ee5\u53ca\u4e00\u4e9b insights \u548c takeaways \u7684\u5206\u6790\u3002<\/section>\n<section><\/section>\n<section>\u5177\u4f53\u5730\u6765\u8bf4\uff0c\u6211\u4eec\u4f1a\u8fdb\u884c\u76f8\u5e94\u7684\u6280\u672f\u7ec6\u8282\u7684\u8ba8\u8bba\uff1a\u6bd4\u5982\u8bf4\u57fa\u4e8e STaR \u7684\u65b9\u6cd5\u548c\u57fa\u4e8e\u5f3a\u5316\u5b66\u4e60\u7684\u65b9\u6cd5\u8fdb\u884c\u5f3a\u63a8\u7406\u6a21\u578b\u590d\u73b0\u7684\u533a\u5206\u548c\u4ea7\u751f\u7684\u6548\u679c\u7684\u4e0d\u540c\u3002\u8fd9\u91cc\u9762\u5c31\u5305\u62ec\u4e86 DeepSeek-R1\u3001Kimi K1.5 \u548c o \u7cfb\u5217\u7684\u6a21\u578b\u3002\u6211\u4eec\u4e5f\u4f1a\u5206\u6790\u84b8\u998f\u548c\u5f3a\u5316\u5b66\u4e60\u9a71\u52a8\u4e0b\u4e0d\u540c\u7684\u5f3a\u63a8\u7406\u8def\u5f84\u590d\u73b0\u7684\u533a\u522b\uff0c\u540c\u65f6\u4e5f\u4f1a\u63a2\u8ba8 PRM \u548c MCTS\uff0c\u4e5f\u5c31\u662f\u8499\u7279\u5361\u6d1b\u6811\u641c\u7d22\u5728\u6574\u4e2a\u5f3a\u63a8\u7406\u6a21\u578b\u6784\u5efa\u8fc7\u7a0b\u4e2d\u7684\u4f5c\u7528\u3002\u5176\u6b21\u6211\u4eec\u4e5f\u4f1a\u63a2\u8ba8\u4e00\u4e9b\u4ece\u6587\u672c\u6a21\u6001\u5230\u591a\u6a21\u6001\u7684\u5b9e\u8df5\u3002\u6700\u540e\u6211\u4eec\u4f1a\u5bf9\u672a\u6765\u7684\u65b9\u5411\u8fdb\u884c\u4e00\u4e2a\u5206\u6790\u548c\u63a2\u8ba8\uff0c\u5305\u62ec\u6a21\u6001\u7a7f\u900f\u3001\u63a2\u7d22\u5408\u6210\u6570\u636e\u4ee5\u53ca\u5f3a\u63a8\u7406\u4e0b\u7684\u5b89\u5168\u3002\u6211\u4eec\u4e5f\u4f1a\u8865\u5145\u62d3\u5c55 DeepSeek-v3 \u7684\u89e3\u8bfb\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-ddb8c62510bcb715862fb6e772085a52.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-ddb8c62510bcb715862fb6e772085a52.png\"><\/a><\/section>\n<section><strong>DeepSeek-R1 \u5f00\u521b RL \u52a0\u6301\u4e0b\u5f3a\u63a8\u7406\u6162\u601d\u8003\u8303\u5f0f\u65b0\u8fb9\u754c<\/strong><\/section>\n<section><\/section>\n<section>\u8fd1\u671f\u540e\u8bad\u7ec3\u9636\u6bb5\u5f00\u59cb\u6210\u4e3a\u8bed\u8a00\u6a21\u578b\u4e2d\u5728\u5b8c\u6574\u8bad\u7ec3\u8fc7\u7a0b\u4e2d\u975e\u5e38\u5173\u952e\u7684\u4e00\u73af\uff0c\u5305\u62ec\u63d0\u5347\u63a8\u7406\u80fd\u529b\u548c\u793e\u4f1a\u4ef7\u503c\u5bf9\u9f50\u65b9\u9762\u8d77\u5230\u4e86\u975e\u5e38\u91cd\u8981\u7684\u4f5c\u7528\u3002\u81ea\u4ece OpenAI o1 \u5f00\u542f\u540e\u8bad\u7ec3\u5f3a\u5316\u5b66\u4e60\u65b0\u8303\u5f0f\u540e\uff0c\u793e\u533a\u7814\u7a76 Inference Time Scaling \u901a\u8fc7\u589e\u5f3a CoT \u7684\u957f\u5ea6\u63d0\u5347\u63a8\u7406\u80fd\u529b\u7684\u70ed\u60c5\u4e5f\u662f\u5728\u9010\u6e10\u589e\u9ad8\u3002\u5176\u4e2d\u4e00\u4e2a\u5173\u952e\u7684\u95ee\u9898\u5c31\u662f\u5982\u4f55\u901a\u8fc7\u6709\u6548\u7684\u6d4b\u8bd5\u9636\u6bb5\u7684\u65f6\u95f4\u7684\u6269\u5c55\u6765\u63d0\u5347\u5b83\u7684\u63a8\u7406\u80fd\u529b\u3002<\/section>\n<section><\/section>\n<section>\u8fd1\u671f DeepSeek R1 \u7684\u5f00\u6e90\uff0c\u4e5f\u662f\u518d\u6b21\u8ba9\u6211\u4eec\u770b\u5230\u4e86\u5f3a\u5316\u5b66\u4e60\u7684\u6f5c\u529b\u3002\u5f97\u76ca\u4e8e\u7eaf\u5927\u89c4\u6a21\u5f3a\u5316\u5b66\u4e60 DeepSeek-R1 Zero \u548c DeepSeek-R1 \u7684\u51fa\u73b0\u5176\u5b9e\u5927\u5927\u63d0\u5347\u4e86\u63a8\u7406\u80fd\u529b\u548c\u957f\u6587\u672c\u7684\u601d\u8003\u80fd\u529b\uff0c\u5176\u4e2d R1 Zero \u662f\u5b8c\u5168\u4ece\u57fa\u7840\u6a21\u578b\u5f00\u59cb\u6784\u5efa\uff0c\u5b8c\u5168\u4f9d\u8d56\u5f3a\u5316\u5b66\u4e60\uff0c\u800c\u4e0d\u4f7f\u7528\u4eba\u7c7b\u4e13\u5bb6\u6807\u6ce8\u7684\u76d1\u7763\u5fae\u8c03\u3002\u5728\u8bad\u7ec3\u8fc7\u7a0b\u4e2d\u968f\u7740\u8bad\u7ec3\u6b65\u9aa4\u7684\u589e\u52a0\uff0c\u6a21\u578b\u4e5f\u662f\u9010\u6e10\u5c55\u73b0\u51fa\u957f\u6587\u672c\u63a8\u7406\u4ee5\u53ca\u957f\u94fe\u4fee\u590d\u7684\u80fd\u529b\u3002\u968f\u7740\u63a8\u7406\u8def\u5f84\u7684\u9010\u6b65\u589e\u957f\uff0c\u6a21\u578b\u6765\u8868\u73b0\u51fa\u81ea\u6211\u53cd\u601d\u7684\u80fd\u529b\uff0c\u80fd\u591f\u53d1\u73b0\u5e76\u4fee\u590d\u4e4b\u524d\u7684\u9519\u8bef\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-002d2d85e3c5ebe50347119424eb5fd3.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-002d2d85e3c5ebe50347119424eb5fd3.png\"><\/a><\/section>\n<section>\u5f97\u76ca\u4e8e\u5f3a\u5927\u7684\u63a8\u7406\u80fd\u529b\u548c\u957f\u6587\u672c\u601d\u8003\u80fd\u529b\uff0cDeepSeek R1 \u5728\u5f00\u6e90\u4ee5\u6765\u5c31\u5907\u53d7\u5173\u6ce8\uff0c\u5176\u4e2d\u5b83\u5728\u8457\u540d\u7684\u6570\u5b66\u4ee3\u7801\u4efb\u52a1\u699c\u5355\u4e0a\u4e5f\u662f\u83b7\u5f97\u4e86\u975e\u5e38\u7a81\u51fa\u7684\u8868\u73b0\u3002\u6bd4\u5982\u5728 AIME2024 \u4e0a\u53d6\u5f97\u4e86 79.8% \u7684\u6210\u7ee9\uff0c\u4e5f\u662f\u8d85\u8fc7\u4e86 OpenAI o1\u3002\u5176\u4e2d\u4e5f\u5728\u7f16\u7801\u7684\u4efb\u52a1\u4e0a\u8868\u73b0\u51fa\u4e86\u4e13\u5bb6\u6c34\u5e73\u3002\u4e0e\u6b64\u540c\u65f6\uff0cDeepSeek R1 \u5728\u77e5\u8bc6\u7c7b\u95ee\u7b54\u7684\u4efb\u52a1\u4e0a\u63a8\u52a8\u4e86\u79d1\u5b66\u63a2\u7d22\u7684\u8fb9\u754c\uff0c\u5728\u65e0\u8bba MMLU \u8fd8\u662f GPQA \u7b49\u4e00\u4e9b\u57fa\u4e8e\u79d1\u5b66\u95ee\u7b54\u548c\u7406\u5de5\u7c7b\u7684\u699c\u5355\u4e0a\u90fd\u662f\u53d6\u5f97\u4e86\u6bd4\u8f83\u597d\u7684\u8868\u73b0\u3002\u66f4\u4ee4\u4eba\u60ca\u8273\u7684\u662f R1 \u5728\u4e00\u4e9b\u957f\u6587\u672c\u4f9d\u8d56\u7684\u4efb\u52a1\u4e0a\u6bd4\u5982 FRAMEs \u548c\u4e00\u4e9b\u4e8b\u5b9e\u6027\u63a8\u65ad\u4efb\u52a1\u4e0a\u4e5f\u662f\u8868\u73b0\u7a81\u51fa\uff0c\u5176\u5b9e\u4e5f\u5c55\u73b0\u51fa\u6765\u4e86\u5f3a\u63a8\u7406\u6a21\u578b\u5728 AI \u9a71\u52a8\u7684\u4e00\u4e9b research \u7684\u6f5c\u529b\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-ec135938f57ddb23c038764cb8731494.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-ec135938f57ddb23c038764cb8731494.png\"><\/a><\/section>\n<section>\u90a3\u4e48\u6211\u4eec\u9996\u5148\u56de\u987e\u4e00\u4e0b\u9884\u8bad\u7ec3\u9636\u6bb5\u7684\u6269\u5c55\u5f8b\u3002\u5176\u5b9e\u4e5f\u5c31\u662f\u5728\u9884\u8bad\u7ec3\u6a21\u578b\u4e0a\uff0c\u8ba1\u7b97\u91cf\u6570\u636e\u548c\u53c2\u6570\u91cf\u6210\u4e00\u4e2a\u7c7b\u4f3c\u4e8e\u6b63\u6bd4\u7684\u5173\u7cfb\uff0c\u4e5f\u5c31\u662f\u7b97\u529b\u7b49\u4e8e 6 \u500d\u7684\u53c2\u6570\u91cf\u4e58\u4e0a\u6570\u636e\u91cf\u3002\u56e0\u6b64\u5728\u5927\u6a21\u578b\u65f6\u4ee3\u53d1\u5c55\u7684\u521d\u671f\uff0c\u56e4\u5361\u63d0\u5347\u9884\u8bad\u7ec3\u7684\u7b97\u529b\u548c\u6a21\u578b\u53c2\u6570\u53d8\u6210\u4e86\u4e3b\u8981\u76ee\u6807\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-ee0c927c17dc5ff8eba46aca3672085d.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-ee0c927c17dc5ff8eba46aca3672085d.png\"><\/a><\/section>\n<section>\u968f\u7740 OpenAI o1 \u7684\u53d1\u5e03\uff0c\u4e5f\u8bc1\u660e\u4e86\u5728\u5f3a\u5316\u5b66\u4e60\u52a0\u6301\u4e0b\u540e\u8bad\u7ec3\u65f6\u4ee3\u4e00\u4e2a\u65b0\u7684\u6269\u5c55\u5f8b\uff1a\u968f\u7740\u6a21\u578b\u5728\u540e\u8bad\u7ec3\u9636\u6bb5\u7684\u8bad\u7ec3\u65f6\u8ba1\u7b97\u91cf\u548c\u6d4b\u8bd5\u65f6\u8ba1\u7b97\u91cf\u7684\u63d0\u5347\uff0c\u6a21\u578b\u7684\u6027\u80fd\u7279\u522b\u662f\u6570\u5b66\u4ee3\u7801\u80fd\u529b\u4e5f\u4f1a\u968f\u4e4b\u63d0\u5347\u3002\u90a3\u4e48\u5728\u540e\u8bad\u7ec3\u6269\u5c55\u5f8b\u4e0b\u8bed\u8a00\u6a21\u578b\u7684\u8bad\u7ec3\u65f6\u8ba1\u7b97\u91cf\u591a\u4e86\u4e00\u4e2a\u65b0\u7684\u53d8\u91cf\uff0c\u4e5f\u5c31\u662f\u5728\u63a2\u7d22\u65f6\u8bed\u8a00\u6a21\u578b\u63a8\u7406\u4ea7\u751f\u7684\u8ba1\u7b97\u91cf\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-38fde1736a6c4dfa4d07c0b00679842a.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-38fde1736a6c4dfa4d07c0b00679842a.png\"><\/a><\/section>\n<section>\u4e3a\u4ec0\u4e48\u6211\u4eec\u9700\u8981\u540e\u8bad\u7ec3\u6269\u5c55\u5f8b\uff1f\u5176\u5b9e\u65e9\u5728 2022 \u5e74\u5c31\u6709\u542f\u53d1\u7684\u8ba4\u77e5\uff0c\u4e3b\u8981\u662f\u51fa\u4e8e\u4e24\u4e2a\u539f\u56e0\uff1a\u7b2c\u4e00\u4e2a\u662f\u968f\u7740\u6a21\u578b\u5c3a\u5bf8\u7684\u9010\u6e10\u589e\u5927\uff0c\u9884\u8bad\u7ec3\u9636\u6bb5\u53c2\u6570\u7684\u6269\u5c55\u5e26\u6765\u7684\u8fb9\u9645\u6536\u76ca\u5f00\u59cb\u9010\u6b65\u9012\u51cf\uff0c\u5982\u679c\u60f3\u8981\u6df1\u5ea6\u63d0\u5347\u6a21\u578b\u7684\u63a8\u7406\u80fd\u529b\u548c\u957f\u7a0b\u95ee\u9898\u7684\u80fd\u529b\uff0c\u57fa\u4e8e\u5f3a\u5316\u5b66\u4e60\u7684\u540e\u8bad\u7ec3\u5c06\u4f1a\u6210\u4e3a\u4e0b\u4e00\u4e2a\u7a81\u7834\u70b9\uff1b\u7b2c\u4e8c\u4e2a\u4e5f\u5c31\u662f\u81ea\u56de\u5f52\u6a21\u578b\u5728\u4f20\u7edf\u7684\u50cf\u6570\u5b66\u63a8\u7406\u95ee\u9898\u4e0a\u5f88\u96be\u8fdb\u6b65\uff0c\u5176\u4e2d\u7684\u5173\u952e\u4e00\u70b9\u5c31\u662f\u6ca1\u6709\u529e\u6cd5\u8fdb\u884c\u56de\u7b54\u7684\u81ea\u4e3b\u4fee\u6b63\uff0c\u90a3\u5982\u679c\u4ec5\u662f\u4f9d\u9760\u751f\u6210\u7684\u65b9\u6cd5\u548c\u6269\u5927\u53c2\u6570\u7684\u89c4\u6a21\u5728\u6570\u5b66\u548c\u63a8\u7406\u4efb\u52a1\u4e0a\u5e26\u6765\u7684\u6536\u76ca\u4e0d\u4f1a\u5f88\u5927\u3002\u6240\u4ee5\u6211\u4eec\u8feb\u5207\u5730\u9700\u8981\u989d\u5916\u7684 Scaling Law \u4e5f\u662f\u989d\u5916\u7684\u6269\u5c55\u5f8b\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-5c19e1f3e0608335e4e6c1bbd5d917fc.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-5c19e1f3e0608335e4e6c1bbd5d917fc.png\"><\/a><\/section>\n<section><strong>DeepSeek-R1 Zero \u53ca R1 \u6280\u672f\u5256\u6790<\/strong><\/section>\n<section><\/section>\n<section>\u4e1a\u754c\u5176\u5b9e\u8fd1\u671f\u6709\u5f88\u591a\u590d\u73b0 o1 \u7684\u64cd\u4f5c\uff0c\u4f8b\u5982\u57fa\u4e8e\u84b8\u998f\u6216\u8005\u5f3a\u5316\u5b66\u4e60\u7684\u65b9\u6cd5\u6216\u8005\u662f\u4ece MCTS \u4e5f\u5c31\u662f\u8499\u7279\u5361\u6d1b\u6811\u641c\u7d22\u548c\u5956\u52b1\u6a21\u578b\u7684\u8bbe\u8ba1\u89d2\u5ea6\u51fa\u53d1\u3002\u901a\u8fc7\u641c\u7d22\u7684\u65b9\u5f0f\u663e\u5f0f\u7684\u53bb\u5e2e\u52a9\u8bed\u8a00\u6a21\u578b\u8fdb\u884c\u63a8\u7406\u9636\u6bb5\u8ba1\u7b97\u91cf\u7684\u63d0\u5347\uff0c\u4e5f\u6709\u5f88\u591a\u4e0d\u9519\u7684\u5c1d\u8bd5\u3002\u4f46\u662f\u5927\u591a\u6570\u90fd\u662f\u5728\u7279\u5b9a\u4efb\u52a1\u4e0a\uff0c\u4f8b\u5982\u6570\u5b66\u6216\u8005\u4ee3\u7801\u7684\u63d0\u5347\u3002<\/section>\n<section><\/section>\n<section>DeepSeek R1 Zero \u7684\u53d1\u5e03\u4e5f\u662f\u8ba9\u6211\u4eec\u770b\u5230\u4e86\u5f3a\u5316\u5b66\u4e60\u7684\u6f5c\u529b\uff0c\u7279\u522b\u662f\u5b83\u8df3\u8fc7\u4e86\u7ecf\u5178\u540e\u8bad\u7ec3\u9636\u6bb5\u4e2d\u7684\u76d1\u7763\u5fae\u8c03\uff0c\u76f4\u63a5\u8fd0\u7528\u5927\u89c4\u6a21\u5f3a\u5316\u5b66\u4e60\u5c31\u5b9e\u73b0\u4e86\u63a8\u7406\u80fd\u529b\u7684\u5927\u5e45\u63d0\u5347\uff0c\u5728\u6570\u5b66\u4ee3\u7801\u7b49\u95ee\u9898\u4e0a\u663e\u8457\u98de\u8dc3\u3002\u5e76\u4e14\u5728\u5f3a\u5316\u5b66\u4e60\u8bad\u7ec3\u8fc7\u7a0b\u4e2d\u81ea\u7136\u6d8c\u73b0\u957f\u6587\u672c\u63a8\u7406\u80fd\u529b\uff0c\u8fd9\u5176\u4e2d\u7684\u5173\u952e\u64cd\u4f5c\u6838\u5fc3\u5728\u4e8e\u4e00\u4e2a\u662f\u57fa\u4e8e\u89c4\u5219\u7684\u5956\u52b1 Rule-based Reward \u548c\u4ee5\u63a8\u7406\u4e3a\u4e2d\u5fc3\u7684\u5927\u89c4\u6a21\u5f3a\u5316\u5b66\u4e60\u3002\u63a5\u4e0b\u6765\u6211\u4eec\u4e5f\u8fdb\u884c\u9010\u6b65\u7684\u62c6\u89e3\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-d6cd6fe47e013dde35f8159d1df4843a.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-d6cd6fe47e013dde35f8159d1df4843a.png\"><\/a><\/section>\n<section>\u5728 DeepSeek R1 Zero \u7684\u5956\u52b1\u5efa\u6a21\u4e2d\u91c7\u7528\u4e86\u57fa\u4e8e\u89c4\u5219\u7684\u5956\u52b1\uff0c\u4e5f\u5c31\u662f\u57fa\u4e8e\u4e00\u5b9a\u7684\u89c4\u5219\u53ef\u4ee5\u76f4\u63a5\u5229\u7528\u7a0b\u5e8f\u8fdb\u884c\u5224\u65ad\u6b63\u8bef\u7684\u5956\u52b1\u4fe1\u53f7\u3002<\/section>\n<section><\/section>\n<section>\u5177\u4f53\u6765\u8bf4 DeepSeek R1 Zero \u8bbe\u8ba1\u4e86\u4e24\u79cd\u5956\u52b1\uff1a\u4e00\u79cd\u662f\u51c6\u786e\u7387\u5956\u52b1\uff0c\u5373\u5bf9\u4e8e\u63a8\u7406\u4efb\u52a1\u662f\u5426\u6839\u636e\u6700\u540e\u7b54\u6848\u7684\u6b63\u786e\u7387\u76f4\u63a5\u6765\u5224\u65ad\u8fd9\u4e2a\u4efb\u52a1\u662f\u5426\u6210\u529f\u5b8c\u6210\uff1b\u7b2c\u4e8c\u79cd\u662f\u683c\u5f0f\u5956\u52b1\u4e5f\u5c31\u662f\u663e\u5f0f\u7684\u53bb\u89c4\u529d\u6a21\u578b\u7684\u8f93\u51fa\u8fc7\u7a0b\u4e2d\u5fc5\u987b\u5305\u542b\u601d\u8003\u7684\u8fc7\u7a0b\uff0c\u5229\u7528\u4e00\u4e2a thinking token \u5c06\u601d\u8003\u7684\u8fc7\u7a0b\u5708\u8d77\u6765\u3002\u9700\u8981\u6ce8\u610f\u7684\u662f\u8fd9\u90e8\u5206\u5956\u52b1\u5efa\u6a21\u5e76\u6ca1\u6709\u91c7\u7528\u5148\u524d\u6211\u4eec\u7ecf\u5e38\u8ba8\u8bba\u7684\u6bd4\u5982\u8bf4\u8fc7\u7a0b\u5956\u52b1\u6a21\u578b PRM \u751a\u81f3\u6ca1\u6709\u91c7\u7528\u5956\u52b1\u6a21\u578b\u3002\u8fd9\u91cc\u8fb9\u7684\u4e3b\u8981\u8003\u91cf\u662f\u57fa\u4e8e\u795e\u7ecf\u7f51\u7edc\u7684\u5956\u52b1\u6a21\u578b\u90fd\u6709\u53ef\u80fd\u906d\u53d7\u5956\u52b1\u653b\u9677\u7684\u95ee\u9898\uff0c\u4e00\u65e6\u53d1\u751f\u5956\u52b1\u653b\u9677\u6a21\u578b\u5c31\u53ef\u80fd\u9677\u5165\u5c40\u90e8\u6700\u4f18\u89e3\uff0c\u800c\u91cd\u65b0\u8bad\u7ec3\u5956\u52b1\u6a21\u578b\u9700\u8981\u5927\u91cf\u7684\u8ba1\u7b97\u8d44\u6e90\u53ef\u80fd\u4f1a\u590d\u6742\u5316\u6574\u4e2a\u6d41\u7a0b\u3002<\/section>\n<section><\/section>\n<section>\u800c\u7b2c\u4e8c\u4e2a\u5728\u5f3a\u5316\u5b66\u4e60\u7684\u8bad\u7ec3\u6a21\u677f\u9009\u62e9\u4e0a\uff0cDeepSeek R1 Zero \u91c7\u7528\u4e86\u6700\u7b80\u5355\u7684\u601d\u8003\u8fc7\u7a0b\uff0c\u800c\u6ca1\u6709\u53bb\u5728 system prompt \u4e2d\u52a0\u5165\u8fc7\u591a\u7684\u53bb\u8bf1\u5bfc\u6a21\u578b\u4ea7\u751f\u7279\u5b9a\u7684\u601d\u8003\u8303\u5f0f\uff0c\u6bd4\u5982\u8bf4\u53bb\u4ea7\u751f\u53cd\u601d\u7b49\u8303\u5f0f\u3002\u8fd9\u4e00\u671f\u671b\u662f\u53ef\u4ee5\u5e0c\u671b\u80fd\u591f\u76f4\u63a5\u89c2\u5bdf\u5230\u5728 RL \u8fc7\u7a0b\u4e2d\u6700\u672c\u8d28\u7684\u8868\u73b0\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-b4f53d63acd6dfba5d473386fee7910f.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-b4f53d63acd6dfba5d473386fee7910f.png\"><\/a><\/section>\n<section><strong>DeepSeek R1 Zero \u66f4\u4e3a\u5173\u952e\u7684\u662f\u4ee5\u63a8\u7406\u4e3a\u4e2d\u5fc3\u7684\u5927\u89c4\u6a21\u5f3a\u5316\u5b66\u4e60<\/strong>\u3002\u5177\u4f53\u6765\u8bf4\u5728\u4f20\u7edf\u7684 RLHF \u7b97\u6cd5\u4e0a DeepSeek \u8fdb\u884c\u4e86\u4e00\u4e9b\u7b97\u6cd5\u7684\u7ec6\u8282\u4f18\u5316\uff0c\u91c7\u7528\u4e86\u50cf\u7ec4\u76f8\u5bf9\u7b56\u7565\u4f18\u5316\u4e5f\u662f GRPO\uff0c\u8fd9\u90e8\u5206\u6211\u4eec\u4e5f\u4f1a\u540e\u7eed\u8bb2\u89e3\u6280\u672f\u7ec6\u8282\u3002\u540c\u65f6\u5b83\u53ea\u7784\u51c6\u4e86\u63a8\u7406\u65b9\u9762\u7684\u4e13\u9879\u4efb\u52a1\u3002\u901a\u8fc7\u5927\u89c4\u6a21\u7684\u5f3a\u5316\u5b66\u4e60\u6a21\u578b\u5df2\u7ecf\u5448\u73b0\u51fa\u4e86\u81ea\u6211\u8fed\u4ee3\u63d0\u5347\u7684\u8d8b\u52bf\uff0c\u4e5f\u5c31\u662f\u968f\u7740\u8bad\u7ec3\u6b65\u6570\u7684\u589e\u52a0\u6a21\u578b\u7684\u601d\u8003\u957f\u5ea6\u4f1a\u9010\u6e10\u589e\u957f\uff0c\u8fd9\u4e5f\u5bf9\u5e94\u7740\u6a21\u578b\u5728\u6d4b\u8bd5\u9636\u6bb5\u7684\u8ba1\u7b97\u91cf\u7684\u589e\u957f\uff0c\u4e5f\u5c31\u662f\u63a8\u7406\u65f6\u957f\u7684\u63d0\u5347\u3002<\/section>\n<section><\/section>\n<section>\u4e0e\u6b64\u540c\u65f6\u6a21\u578b\u4e5f\u5728\u4e2d\u9014\u8bad\u7ec3\u8fc7\u7a0b\u4e2d\u6d8c\u73b0\u4e86 &#8216;<strong>Aha&#8217; moment<\/strong>\uff0c\u5b66\u4f1a\u7528 wait \u7b49\u505c\u987f\u8bcd\uff0c\u81ea\u7136\u7684\u53bb\u589e\u52a0\u66f4\u591a\u7684\u63a8\u7406\u65f6\u95f4\uff0c\u5e76\u4e14\u53cd\u601d\u548c\u8bc4\u4ef7\u5148\u524d\u7684\u6b65\u9aa4\u5e76\u4e3b\u52a8\u53bb\u63a2\u7d22\u5176\u4ed6\u7684\u65b9\u6cd5\u8def\u5f84\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-1a07ce3decb10e1b6d2e087df3ace4af.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-1a07ce3decb10e1b6d2e087df3ace4af.png\"><\/a><\/section>\n<section>DeepSeek \u7684\u6210\u529f\u4e5f\u4e3a\u6211\u4eec\u5e26\u6765\u4e86\u4e00\u4e9b\u5173\u952e\u7684\u542f\u793a\uff1a\u4f8b\u5982\u5728\u4f20\u7edf\u7684\u5927\u8bed\u8a00\u6a21\u578b\u8bad\u7ec3\u4e2d\u76d1\u7763\u5fae\u8c03\u901a\u5e38\u88ab\u8ba4\u4e3a\u662f\u4e0d\u53ef\u6216\u7f3a\u7684\u4e00\u73af\uff0c\u5176\u903b\u8f91\u662f\u5148\u7528\u5927\u91cf\u4eba\u5de5\u6807\u6ce8\u7684\u6570\u636e\u6765\u8ba9\u6a21\u578b\u521d\u6b65\u638c\u63e1\u67d0\u79cd\u80fd\u529b\u6216\u56de\u7b54\u8303\u5f0f\uff0c\u518d\u5229\u7528\u5f3a\u5316\u5b66\u4e60\u8fdb\u4e00\u6b65\u4f18\u5316\u6a21\u578b\u7684\u6027\u80fd\u3002<\/section>\n<section><\/section>\n<section>\u7136\u800c DeepSeek \u5374\u6253\u7834\u4e86\u8fd9\u4e00\u4f20\u7edf\uff0c<strong>\u4ed6\u4eec\u9009\u62e9\u76f4\u63a5\u5c06 RL \u5e94\u7528\u4e8e\u57fa\u7840\u6a21\u578b\uff0c\u800c\u6ca1\u6709\u7ecf\u8fc7\u4efb\u4f55\u5f62\u5f0f\u7684 SFT \u8bad\u7ec3<\/strong>\u3002\u8fd9\u79cd\u7eaf\u5f3a\u5316\u5b66\u4e60\u7684\u65b9\u6cd5\u4e4b\u6240\u4ee5\u5982\u6b64\u5f15\u4eba\u6ce8\u76ee\uff0c\u662f\u5f88\u5927\u7a0b\u5ea6\u4e0a\u56e0\u4e3a\u5b83\u629b\u5f03\u4e86\u5bf9\u4e8e\u5927\u89c4\u6a21\u4eba\u5de5\u6807\u6ce8\u6570\u636e\u7684\u4f9d\u8d56\u3002\u4f17\u6240\u5468\u77e5 SFT \u662f\u975e\u5e38\u9700\u8981\u6d88\u8017\u5927\u91cf\u7684\u4eba\u529b\u7269\u529b\u6765\u6784\u5efa\u548c\u7ef4\u62a4\u9ad8\u8d28\u91cf\u7684\u8bad\u7ec3\u6570\u636e\u96c6\uff0c\u800c DeepSeek \u7684\u56e2\u961f\u8fd9\u79cd\u505a\u6cd5\u53ef\u4ee5\u76f4\u63a5\u8ba9\u6a21\u578b\u5728\u5f3a\u5316\u5b66\u4e60\u7684\u73af\u5883\u4e2d\u8fdb\u884c\u81ea\u6211\u63a2\u7d22\uff0c\u901a\u8fc7\u4e0e\u73af\u5883\u7684\u4e92\u52a8\uff0c\u81ea\u4e3b\u7684\u53bb\u53d1\u73b0\u548c\u5b66\u4e60\u89e3\u51b3\u590d\u6742\u95ee\u9898\u7684\u80fd\u529b\uff0c\u5c31\u597d\u6bd4\u4e00\u4e2a\u521d\u5b66\u8005\u5728\u6ca1\u6709\u8001\u5e08\u7684\u6307\u5bfc\u4e0b\u901a\u8fc7\u4e0d\u65ad\u7684\u5c1d\u8bd5\u548c\u9519\u8bef\uff0c\u6765\u638c\u63e1\u4e00\u95e8\u65b0\u7684\u6280\u80fd\u3002\u8fd9\u79cd\u81ea\u4e3b\u5b66\u4e60\u7684\u65b9\u5f0f\uff0c\u4e0d\u4ec5\u8282\u7701\u4e86\u5927\u91cf\u7684\u6807\u6ce8\u6210\u672c\uff0c\u66f4\u91cd\u8981\u7684\u662f\u5b83\u80fd\u8ba9\u6a21\u578b\u66f4\u52a0\u81ea\u7531\u5730\u63a2\u7d22\u89e3\u51b3\u95ee\u9898\u7684\u8def\u5f84\uff0c\u800c\u4e0d\u662f\u88ab\u9884\u5148\u8bbe\u5b9a\u7684\u6a21\u5f0f\u6240\u675f\u7f1a\uff0c\u8fd9\u4e5f\u4f7f\u5f97\u6a21\u578b\u6700\u7ec8\u5177\u5907\u4e86\u66f4\u52a0\u5f3a\u5927\u7684\u6cdb\u5316\u80fd\u529b\u548c\u9002\u5e94\u80fd\u529b\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-9f8326feff9940a9f47899e8ec022597.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-9f8326feff9940a9f47899e8ec022597.png\"><\/a><\/section>\n<section>\u800c\u4e4b\u6240\u4ee5\u80fd\u591f\u8df3\u8fc7\u76d1\u7763\u5fae\u8c03\u9636\u6bb5\u76f4\u63a5\u8fd0\u7528\u7eaf\u5f3a\u5316\u5b66\u4e60\u62d3\u5c55\u63a8\u7406\u80fd\u529b\u7684\u8fb9\u754c\uff0c\u5176\u5b9e\u4e5f\u5f97\u76ca\u4e8e\u4ee5\u4e0b\u51e0\u4e2a\u5173\u952e\u4e4b\u5904\u3002<\/section>\n<section><\/section>\n<section>\u9996\u5148\u662f\u8981\u6709\u8db3\u591f\u5f3a\u7684\u57fa\u5ea7\u6a21\u578b\uff0cDeepSeek R1 Zero \u7cfb\u5217\u7684\u6a21\u578b\u662f\u5728 DeepSeek v3 \u7684 671B \u7684\u57fa\u5ea7\u6a21\u578b\u4e0a\u8fdb\u884c\u4e86\u8bad\u7ec3\uff0c\u5b83\u7684\u57fa\u5ea7\u6a21\u578b\u662f\u8d85\u8fc7\u4e86\u67d0\u4e2a\u8d28\u91cf\u548c\u80fd\u529b\u7684\u9608\u503c\u7684\uff0c\u5b83\u5728 14.8T \u7684\u9ad8\u8d28\u91cf Tokens \u4e0a\u8fdb\u884c\u8bad\u7ec3\uff0c\u5176\u5b9e\u57fa\u5ea7\u6a21\u578b\u5728\u9884\u8bad\u7ec3\u9636\u6bb5\u79ef\u7d2f\u7684\u6d77\u91cf\u77e5\u8bc6\uff0c\u662f\u53ef\u4ee5\u5e2e\u52a9\u6a21\u578b\u5728\u5f3a\u5316\u5b66\u4e60\u52a0\u6301\u540e\u7a81\u7834\u63a8\u7406\u4e0a\u754c\u3002\u8fd9\u662f\u56e0\u4e3a\u5728\u9884\u8bad\u7ec3\u9636\u6bb5\u79ef\u7d2f\u7684\u77e5\u8bc6\u548c\u601d\u7ef4\u65b9\u5f0f\u662f\u76f8\u5bf9\u66f4\u9ad8\u9636\u7684\uff0c\u5c31\u50cf\u4eba\u7c7b\u5927\u5e08\u548c\u65b0\u624b\u90fd\u53ef\u4ee5\u901a\u8fc7\u81ea\u535a\u5f08\u6765\u63d0\u5347\u81ea\u5df1\u7684\u80fd\u529b\uff0c\u4f46\u662f\u7531\u4e8e\u4eba\u7c7b\u5927\u5e08\u7684\u5148\u9a8c\u89c1\u8fc7\u7684\u4e1c\u897f\u66f4\u591a\uff0c\u6240\u4ee5\u6f5c\u529b\u66f4\u5927\u3002\u8fd1\u671f\u4e5f\u6709\u4e00\u4e9b\u5229\u7528\u5c0f\u6a21\u578b\u590d\u73b0 &#8216;Aha&#8217;moment \u7684\u5de5\u4f5c\uff0c\u8fd9\u5f97\u76ca\u4e8e\u9ad8\u8d28\u91cf\u7684\u63a8\u7406\u6570\u636e\u548c\u5927\u89c4\u6a21\u7684\u5f3a\u5316\u5b66\u4e60\uff0c\u4f46\u82e5\u662f\u8981\u8fdb\u4e00\u6b65\u53bb\u63d0\u5347\u63a8\u7406\u80fd\u529b\u7684\u8fb9\u754c\uff0c\u8db3\u591f\u5f3a\u7684\u57fa\u5ea7\u6a21\u578b\u662f\u5fc5\u4e0d\u53ef\u5c11\u7684\u3002<\/section>\n<section><\/section>\n<section>\u5176\u6b21\u662f\u5927\u89c4\u6a21\u5f3a\u5316\u5b66\u4e60\u7684\u52a0\u6301\uff0c\u5373\u901a\u8fc7 GRPO \u5bf9\u4e8e\u8bad\u7ec3\u8fc7\u7a0b\u8fdb\u884c\u4f18\u5316\u3002<\/section>\n<section><\/section>\n<section>\u6700\u540e\u662f\u5956\u52b1\u89c4\u5219\u5316\u5956\u52b1\uff0c\u901a\u8fc7\u7ed5\u8fc7\u5956\u52b1\u653b\u9677\u6a21\u578b\uff0c\u89c4\u5219\u5316\u5956\u52b1\u80fd\u591f\u76f4\u63a5\u57fa\u4e8e\u56fa\u5b9a\u7684\u89c4\u5219\u8fdb\u884c\u5956\u52b1\u5224\u5b9a\uff0c\u4f46\u89c4\u5219\u5316\u5956\u52b1\u80fd\u591f\u6210\u529f\u7684\u524d\u63d0\u4e5f\u5f88\u5927\u7a0b\u5ea6\u4e0a\u5f97\u76ca\u4e8e\u5173\u6ce8\u7684\u63a8\u7406\u4efb\u52a1\u662f\u53ef\u4ee5\u8fdb\u884c\u81ea\u52a8\u5316\u6807\u6ce8\u548c\u9a8c\u8bc1\u7684\uff0c\u8fd9\u662f\u548c\u4e00\u822c\u7684\u804a\u5929\u4e0e\u5199\u4f5c\u4efb\u52a1\u76f8\u4e0d\u540c\u7684\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-8a0fdf40b3ec9fb24509a7a38fca4e66.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-8a0fdf40b3ec9fb24509a7a38fca4e66.png\"><\/a><\/section>\n<section>\u5728\u8fd9\u91cc\u6211\u4eec\u4e3e\u4e00\u4e2a\u81ea\u52a8\u5316\u6807\u8bb0\u548c\u9a8c\u8bc1\u7684\u4f8b\u5b50\uff0c\u4f8b\u5982\u5bf9\u4e8e\u4e00\u4e2a\u63a8\u7406\u95ee\u9898\uff0c\u6211\u4eec\u5e0c\u671b\u6a21\u578b\u53ef\u4ee5\u7f16\u5199\u4e00\u4e2a Python \u4ee3\u7801\uff0c\u90a3\u4e48\u81ea\u52a8\u5316\u9a8c\u8bc1\u7684\u65b9\u6cd5\uff0c\u5c31\u53ef\u4ee5\u5206\u4e3a\u8fd9\u4e48\u51e0\u6b65\uff1a\u7b2c\u4e00\u6b65\u662f\u5229\u7528\u8f6f\u4ef6\u53bb\u68c0\u67e5\u4ee3\u7801\u8865\u5168\uff0c\u6bd4\u5982\u8bf4\u5224\u65ad\u5b83\u662f\u5426\u662f\u5b8c\u6574\u7684\u4ee3\u7801\uff1b\u7b2c\u4e8c\u6b65\u662f\u6267\u884c Python \u4ee3\u7801\uff0c\u6765\u68c0\u67e5\u8fd0\u884c\u60c5\u51b5\uff0c\u67e5\u770b\u5b83\u662f\u5426\u662f\u53ef\u8fd0\u884c\u7684\uff1b\u7b2c\u4e09\u662f\u6211\u4eec\u53ef\u4ee5\u8c03\u7528\u5916\u90e8\u6a21\u5757\uff0c\u6765\u6784\u5efa\u989d\u5916\u7684\u68c0\u6d4b\u5355\u5143\uff1b\u7b2c\u56db\u751a\u81f3\u6211\u4eec\u53ef\u4ee5\u66f4\u8fdb\u4e00\u6b65\u7684\uff0c\u4e3a\u4e86\u53bb\u7ea6\u675f\u6a21\u578b\u8fdb\u884c\u6709\u6548\u7684\u63a8\u7406\uff0c\u6211\u4eec\u53ef\u4ee5\u6d4b\u91cf\u7a0b\u5e8f\u7684\u6267\u884c\u65f6\u95f4\uff0c\u4ece\u800c\u4f7f\u8bad\u7ec3\u8fc7\u7a0b\u9996\u9009\u6027\u80fd\u66f4\u9ad8\u7684\u89e3\u51b3\u65b9\u6848\u3002\u800c\u4ee5\u4e0a\u7684\u5956\u52b1\u4fe1\u53f7\u90fd\u662f\u53ef\u4ee5\u4f5c\u4e3a\u5c0f\u6279\u91cf\u8bad\u7ec3\u548c\u8fde\u7eed\u8bad\u7ec3\u8fc7\u7a0b\u4e2d\u7684\u5956\u52b1\u4fe1\u53f7\u7684\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-ed6dd26029bac08eba6b14a2bc1a6fb3.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-ed6dd26029bac08eba6b14a2bc1a6fb3.png\"><\/a><\/section>\n<section>\u8fd9\u91cc\u6709\u4e2a\u793a\u610f\u56fe\u4e5f\u5c31\u662f\u6839\u636e\u4e0d\u540c\u7684\u89c4\u5219\uff0c\u8fdb\u884c\u5f62\u5f0f\u5316\u7684\u9a8c\u8bc1\u548c\u5224\u5b9a\uff0c\u6700\u540e\u89e3\u7684\u5206\u6570\u5c31\u4f1a\u8f6c\u5316\u6210\u5f3a\u5316\u5b66\u4e60\u8bad\u7ec3\u8fc7\u7a0b\u4e2d\u7684\u5956\u52b1\u4fe1\u53f7\u8fdb\u884c\u53cd\u4f20\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-ea6afd35d2f4152726e4a157a48d01fb.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-ea6afd35d2f4152726e4a157a48d01fb.png\"><\/a><\/section>\n<section>\u4f46\u662f DeepSeek-R1 Zero\u4e5f\u6709\u5bf9\u5e94\u7684\u95ee\u9898\uff0c\u6bd4\u5982\u8bf4\u957f\u63a8\u7406\u8fc7\u7a0b\u53ef\u8bfb\u6027\u5dee\uff0c\u8bed\u8a00\u6df7\u5408\u5e2e\u52a9\u6027\u4f4e\u3002\u90a3\u4e48\u6211\u4eec\u80fd\u5426\u5728 zero \u7684\u57fa\u7840\u4e0a\uff0c\u5728\u517c\u987e\u63a8\u7406\u6027\u80fd\u7684\u540c\u65f6\uff0c\u63d0\u5347\u6a21\u578b\u7684\u5e2e\u52a9\u6027\u548c\u5b89\u5168\u6027\u7684\u3002\u4f8b\u5982\u80fd\u4e0d\u80fd\u4ea7\u751f\u4e00\u4e9b\u6bd4\u8f83\u6e05\u6670\u4e14\u76f4\u63a5\u7684\u63a8\u7406\u8fc7\u7a0b\uff0c\u5e76\u4e14\u80fd\u591f\u6cdb\u5316\u5230\u901a\u7528\u80fd\u529b\u4efb\u52a1\u4e0a\u7684\u6a21\u578b\u3002\u4f8b\u5982 R1\uff1b\u4ee5\u53ca\u6211\u4eec\u80fd\u5426\u5229\u7528\u4e00\u4e9b\u9ad8\u8d28\u91cf\u7684\u53cd\u601d\u6570\u636e\u53bb\u505a\u51b7\u542f\u52a8\uff0c\u4ece\u800c\u52a0\u901f\u5f3a\u5316\u5b66\u4e60\u7684\u6536\u655b\u6216\u8005\u5e2e\u52a9\u63d0\u5347\u63a8\u7406\u8868\u73b0\u3002\u90a3\u4e48\u56f4\u7ed5\u8fd9\u4e24\u4e2a\u7814\u7a76\u95ee\u9898\uff0c\u5e94\u8fd0\u800c\u751f\u4e86 DeepSeek R1 \u8fd9\u4e2a\u6a21\u578b\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-9fe02b355123094cf9b5aabd3b092582.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-9fe02b355123094cf9b5aabd3b092582.png\"><\/a><\/section>\n<section>\u603b\u7684\u6765\u8bf4 DeepSeek R1 \u7684\u6280\u672f pipeline \u53ef\u4ee5\u88ab\u603b\u7ed3\u4e3a\u8fd9\u4e48\u4e00\u5957\u8303\u5f0f\u3002\u9996\u5148\u7b2c\u4e00\u57fa\u4e8e DeepSeek v3-base \u4ea7\u751f\u4e86 DeepSeek R1 Zero \u8fd9\u4e2a\u6a21\u578b\uff0c\u7b2c\u4e00\u9636\u6bb5\u662f\u6211\u4eec\u5e0c\u671b\u5148\u589e\u5f3a R1 zero \u7684\u63a8\u7406\u94fe\u7684\u53ef\u8bfb\u6027\uff0c\u5728\u8fd9\u4e00\u9636\u6bb5\u6211\u4eec\u4f1a\u5229\u7528\u4e00\u4e9b\u51b7\u542f\u52a8\u7684\u6570\u636e\uff0c\u8fd9\u4e9b\u6570\u636e\u91cc\u8fb9\u53ef\u80fd\u662f\u5305\u542b\u4e86\u4eba\u7c7b\u4e13\u5bb6\u548c\u6a21\u578b\u6240\u64b0\u5199\u7684\u9ad8\u8d28\u91cf\u7684\u8bed\u8a00\uff0c\u7b26\u5408\u8bed\u8a00\u683c\u5f0f\u7684\u8fd9\u6837\u4e00\u4e9b\u53cd\u601d\u6570\u636e\u3002\u7136\u540e\u6211\u4eec\u518d\u4ee5\u63a8\u7406\u4e3a\u4e2d\u5fc3\u7684\u5f3a\u5316\u5b66\u4e60\u53bb\u8fdb\u4e00\u6b65\u7684\u53bb\u8fdb\u884c\u5fae\u8c03\uff0c\u4ece\u800c\u83b7\u5f97\u4e00\u4e2a\u76f8\u5bf9\u63a8\u7406\u94fe\u53ef\u8bfb\u6027\u66f4\u5f3a\u7684\u4e00\u4e2a\u4e2d\u95f4\u6a21\u578b\uff1b\u90a3\u4e48\u66f4\u8fdb\u4e00\u6b65\u6211\u4eec\u91c7\u7528\u4f20\u7edf RLHF \u4e2d\u7684\u4e00\u4e9b\u6280\u672f\uff0c\u6bd4\u5982\u8bf4\u901a\u8fc7\u62d2\u7edd\u91c7\u6837\u548c\u5168\u9886\u57df\u7684\u76d1\u7763\u5fae\u8c03\u4ee5\u53ca\u5728\u5168\u9886\u57df\u7684\u4efb\u52a1\u4e0a\u8fdb\u884c\u5f3a\u5316\u5b66\u4e60\u7684\u8bad\u7ec3\uff0c\u6bd4\u5982\u5bf9\u4e8e\u63a8\u7406\u4efb\u52a1\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528\u89c4\u5219\u5956\u52b1\uff0c\u800c\u5bf9\u4e8e\u4e00\u4e9b\u901a\u7528\u6bd4\u5982\u8bf4\u804a\u5929\u4efb\u52a1\u6211\u4eec\u8fdb\u884c\u504f\u597d\u5efa\u6a21\uff0c\u4ece\u800c\u6765\u5728\u7b2c\u4e8c\u9636\u6bb5\u53bb\u63d0\u5347\u6a21\u578b\u7684\u901a\u7528\u80fd\u529b\u548c\u5b89\u5168\u6027\uff0c\u6700\u7ec8\u83b7\u5f97\u4e86 DeepSeek R1 \u8fd9\u6837\u4e00\u4e2a\u6a21\u578b\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-41a23c69c413207ed72d4819258790dd.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-41a23c69c413207ed72d4819258790dd.png\"><\/a><\/section>\n<section>\u63a5\u4e0b\u6765\u6211\u4eec\u8fdb\u884c\u5177\u4f53\u7684\u8bb2\u89e3\uff0c<strong>\u9996\u5148\u662f\u7b2c\u4e00\u9636\u6bb5\uff0c\u6211\u4eec\u5982\u4f55\u53bb\u63d0\u5347\u6a21\u578b\u7684\u63a8\u7406\u94fe\u7684\u53ef\u8bfb\u6027<\/strong>\uff0c\u5728\u8fd9\u4e2a\u73af\u8282\u6211\u4eec\u5206\u4e3a\u4e24\u4e2a\u9636\u6bb5\uff1a\u7b2c\u4e00\u4e2a\u662f\u51b7\u542f\u52a8\uff0c\u7b2c\u4e8c\u662f\u4ee5\u63a8\u7406\u4e3a\u4e2d\u5fc3\u7684\u5f3a\u5316\u5b66\u4e60\u3002\u5728\u51b7\u542f\u52a8\u9636\u6bb5\u5176\u5b9e\u6211\u4eec\u51c6\u5907\u7684\u6570\u636e\u662f\u4e00\u4e9b\u9ad8\u8d28\u91cf\u7684\u66f4\u957f\u601d\u7ef4\u94fe\u7684\u5e26\u53cd\u601d\u548c\u9a8c\u8bc1\u7684\u6570\u636e\u96c6\uff0c\u8fd9\u90e8\u5206\u6570\u636e\u96c6\u5b83\u5176\u5b9e\u662f\u7531\u4eba\u7c7b\u7684\u6ce8\u91ca\u8005\u548c R1 Zero \u4ea7\u751f\u4e86\u4e00\u4e2a\u9ad8\u8d28\u91cf\u94fe\u5f0f\u601d\u8003\uff0c\u5b83\u7684\u6210\u6548\u5176\u5b9e\u662f\u8bf4\u5f15\u5165\u4e00\u4e9b\u4eba\u7c7b\u7684\u5148\u9a8c\uff0c\u540c\u65f6\u53bb\u63d0\u5347\u5b83\u63a8\u7406\u94fe\u7684\u8bed\u4e49\u8fde\u8d2f\u6027\u548c\u53ef\u8bfb\u6027\uff0c\u7136\u540e\u5e76\u4e14\u8ba9\u6a21\u578b\u83b7\u5f97\u4e00\u4e2a\u6700\u57fa\u672c\u7684\u80fd\u529b\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-e5c07f2e07ca465be0c1f6de8880fd57.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-e5c07f2e07ca465be0c1f6de8880fd57.png\"><\/a><\/section>\n<section><strong>\u7b2c\u4e8c\u9636\u6bb5\u5c31\u662f\u548c DeepSeek R1 Zero \u6784\u5efa\u7684\u8fc7\u7a0b\u76f8\u4e00\u81f4\u7684\uff0c\u7528\u4ee5\u63a8\u7406\u4e3a\u4e2d\u5fc3\u7684\u5f3a\u5316\u5b66\u4e60\u901a\u8fc7\u589e\u5f3a\u5927\u89c4\u6a21\u7684\u8bad\u7ec3\u8fc7\u7a0b\u6765\u8fdb\u4e00\u6b65\u63d0\u5347\u51b7\u542f\u52a8\u540e\u7684\u6a21\u578b\u7684\u63a8\u7406\u95ee\u9898\u7684\u7684\u63a8\u7406\u80fd\u529b<\/strong>\u3002\u4e0e\u6b64\u540c\u65f6\uff0c\u9664\u4e86\u4f20\u7edf\u7684\u683c\u5f0f\u5956\u52b1\u4e4b\u5916\uff0c\u5728\u8fd9\u91cc\u8fd8\u5f15\u5165\u4e86\u8bed\u8a00\u4e00\u81f4\u6027\u7684\u5956\u52b1\u3002\u56e0\u4e3a\u5728 DeepSeek-R1 Zero \u4e2d\u6211\u4eec\u89c2\u5bdf\u5230\u4e86\u6bd4\u5982\u8bf4\u601d\u7ef4\u94fe\u4e2d\u53ef\u80fd\u4f1a\u6df7\u5408\u5e26\u6709\u4e0d\u540c\u8bed\u8a00\u7684\u73b0\u8c61\uff0c\u901a\u8fc7\u5f15\u5165\u901a\u8fc7\u8ba1\u7b97\u601d\u7ef4\u94fe\u8fc7\u7a0b\u4e2d\u76ee\u6807\u8bed\u8a00\u7684\u5360\u6bd4\u4f5c\u4e3a\u4e00\u4e2a\u8bed\u8a00\u4e00\u81f4\u6027\u5956\u52b1\uff0c\u4ece\u800c\u53ef\u4ee5\u8861\u91cf\u957f\u63a8\u7406\u94fe\u7684\u53ef\u8bfb\u6027\u3002\u7b2c\u4e8c\u4e2a\u5956\u52b1\u4fe1\u53f7\u4e5f\u5c31\u662f\u63a8\u7406\u6b63\u786e\u7387\u7684\u5956\u52b1\uff0c\u901a\u8fc7 GRPO \u6a21\u578b\u4e5f\u662f\u80fd\u591f\u5728 AIME \u8fd9\u4e9b\u6570\u5b66\u57fa\u51c6\u4e0a Pass@1 \u7684\u6b63\u786e\u7387\u5c31\u6709\u4e00\u4e2a\u975e\u5e38\u5927\u7684\u98de\u8dc3\u7684\u63d0\u5347\u3002<\/section>\n<section><\/section>\n<section>\u4e0e\u6b64\u540c\u65f6\uff0c\u6a21\u578b\u4e5f\u80fd\u591f\u81ea\u53d1\u5730\u53bb\u5ef6\u957f\u63a8\u7406\u94fe\u6761\uff0c\u5c55\u73b0\u51fa\u66f4\u5f3a\u7684\u903b\u8f91\u8fde\u8d2f\u6027\uff0c\u83b7\u5f97\u4e86\u4e00\u4e2a\u63a8\u7406\u53ef\u63a8\u7406\u94fe\u53ef\u8bfb\u6027\u66f4\u5f3a\u5e76\u4e14\u6709\u57fa\u672c\u63a8\u7406\u80fd\u529b\u7684\u6a21\u578b\u4e4b\u540e\uff0c\u6211\u4eec\u5728\u540e\u7eed\u518d\u91c7\u7528\u4f20\u7edf\u7684 RLHF \u4e2d\u7684\u50cf\u76d1\u7763\u5fae\u8c03\u3001\u62d2\u7edd\u91c7\u6837\u4ee5\u53ca\u5168\u9886\u57df\u7684\u5f3a\u5316\u5b66\u4e60\u6765\u5e2e\u52a9\u6a21\u578b\u53bb\u83b7\u5f97\u4e00\u4e2a\u901a\u7528\u80fd\u529b\u548c\u5b89\u5168\u6027\u3002\u5728\u76d1\u7763\u5fae\u8c03\u4e2d\u548c\u4e4b\u524d\u51b7\u542f\u52a8\u7684\u6570\u636e\u662f\u4e0d\u540c\uff0c\u8fd9\u90e8\u5206\u7684\u76d1\u7763\u5fae\u8c03\u4e3b\u8981\u8fd8\u662f\u8d1f\u8d23\u5168\u9886\u57df\u7684\u4efb\u52a1\uff0c\u5b83\u9664\u4e86\u5305\u62ec\u4e00\u4e9b\u63a8\u7406\u4efb\u52a1\u7684\u6570\u636e\u4e4b\u5916\uff0c\u8fd8\u6709\u4e00\u4e9b\u6bd4\u5982\u8bf4\u50cf\u89d2\u8272\u626e\u6f14\u901a\u7528\u4efb\u52a1\u3002\u8fd9\u4e2a\u6210\u6548\u662f\u5728\u4f7f\u6a21\u578b\u5728\u63a8\u7406\u80fd\u529b\u4e0d\u51cf\u7684\u524d\u63d0\u4e0b\uff0c\u8bed\u8a00\u8868\u73b0\u66f4\u4e3a\u81ea\u7136\uff0c\u9002\u5e94\u6027\u66f4\u4e3a\u5e7f\u6cdb\u3002\u5728\u7ecf\u8fc7\u5168\u9886\u57df\u7684 RL\uff0c\u5176\u5b9e\u53ef\u4ee5\u8fdb\u4e00\u6b65\u63d0\u5347\u9664\u4e86\u63a8\u7406\u80fd\u529b\u4e4b\u5916\u7684\u5e2e\u52a9\u6027\u548c\u5b89\u5168\u6027\u3002\u5bf9\u4e8e\u5e2e\u6027\u5b89\u5168\u6027\uff0c\u5176\u5b9e\u6211\u4eec\u5c31\u7528\u4f20\u7edf\u7684\u5956\u52b1\u6a21\u578b\u6765\u5efa\u6a21\u4eba\u7c7b\u7684\u504f\u597d\u548c\u610f\u56fe\u5c31\u53ef\u4ee5\u4e86\u3002\u6700\u7ec8\u7248\u672c\u7684 R1\uff0c\u5176\u5b9e\u4e0d\u4ec5\u662f\u5728\u63a8\u7406\u548c\u5bf9\u8bdd\u4efb\u52a1\u4e0a\u8fbe\u5230\u4e86\u9ad8\u6c34\u5e73\uff0c\u8fd8\u66f4\u5177\u5907\u66f4\u5b89\u5168\u7684\u4ea4\u4e92\u6027\u80fd\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-abbf0df0f4176af389092a4f9f2a1b4b.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-abbf0df0f4176af389092a4f9f2a1b4b.png\"><\/a><\/section>\n<section>\u5728\u8fd9\u4e00\u90e8\u5206\u6211\u4eec\u5148\u603b\u7ed3\u4e00\u4e0b DeepSeek-R1 \u7684\u4e00\u4e9b\u6280\u672f\u4eae\u70b9\u548c takeaways\u3002\u9996\u5148\u793e\u533a\u5bf9\u4e8e\u5f3a\u63a8\u7406\u6a21\u578b\u7684\u590d\u73b0\u90fd\u6d89\u53ca\u4e00\u4e9b\u84b8\u998f\u548c\u641c\u7d22\uff0c\u800c DeepSeek R1 Zero \u5b83\u662f\u8df3\u8fc7\u4e86\u76d1\u7763\u5fae\u8c03\u9636\u6bb5\u3002\u8fd9\u5f97\u76ca\u4e8e\u4ee5\u4e0b\u51e0\u4e2a\u70b9\uff1a\u7b2c\u4e00\u662f\u9700\u8981\u8db3\u591f\u5f3a\u7684\u57fa\u5ea7\u6a21\u578b\u6765\u5e2e\u52a9\u5b83\u53bb\u7a81\u7834\u4e00\u4e2a\u8d28\u91cf\u548c\u80fd\u529b\u9608\u503c\u7684\u4e0a\u9650\uff0c\u7b2c\u4e8c\u662f\u9700\u8981\u5927\u89c4\u6a21\u5f3a\u5316\u5b66\u4e60\u7684\u52a0\u6301\uff0c\u7b2c\u4e09\u662f\u89c4\u5219\u5316\u5956\u52b1\uff0c\u4f46\u89c4\u5219\u5316\u5956\u52b1\u662f\u5f97\u76ca\u4e8e\u4e00\u4e9b\u63a8\u7406\u95ee\u9898\uff0c\u5b83\u53ef\u4ee5\u8fdb\u884c\u81ea\u52a8\u5316\u7684\u6807\u8bb0\u548c\u9a8c\u8bc1\u3002\u901a\u8fc7\u5f3a\u5316\u5b66\u4e60\u5728\u5b9e\u9a8c\u8fc7\u7a0b\u4e2d\u5176\u5b9e\u89c2\u5bdf\u5230\u4e86\u8bad\u7ec3\u6b65\u6570\u7684\u589e\u957f\u6a21\u578b\u7684\u601d\u8003\u8fc7\u7a0b\u7684\u957f\u5ea6\u662f\u9010\u6b65\u589e\u957f\u7684\uff0c\u8fd9\u4e00\u589e\u957f\u5176\u5b9e\u4e5f\u4ee3\u8868\u7740\u5728 test time \u4e5f\u5c31\u662f\u6d4b\u8bd5\u4efb\u52a1\u9636\u6bb5\u7684\u4e00\u4e2a\u7b97\u529b\u7684\u63d0\u5347\u3002DeepSeek R1 Zero \u4e5f\u662f\u81ea\u4e3b\u6d8c\u73b0\u4e86\u4e00\u4e2a\u5b66\u4f1a\u8bc4\u6d4b\u539f\u6765\u7684\u65b9\u6cd5\u53cd\u601d\u548c\u4e3b\u52a8\u63a2\u7d22\uff0c\u5176\u4ed6\u8def\u5f84\u7684\u8fd9\u6837\u4e00\u4e2a\u80fd\u529b\u3002<\/section>\n<section><\/section>\n<section>\u4e0e\u6b64\u540c\u65f6\uff0c\u591a\u9636\u6bb5\u8bad\u7ec3\u4e0b\u7684\u51b7\u542f\u52a8\uff0c\u5176\u5b9e\u4e5f\u8ba9\u5f3a\u5316\u5b66\u4e60\u7684\u8bad\u7ec3\u66f4\u52a0\u7a33\u5b9a\uff0c\u4ece\u800c\u907f\u514d\u4e86\u5f3a\u5316\u5b66\u4e60\u521d\u671f\u4e0d\u7a33\u5b9a\uff0c\u52a0\u901f\u6536\u655b\u5e76\u4e14\u63d0\u5347\u601d\u7ef4\u94fe\u53ef\u8bfb\u6027\u7684\u8fd9\u6837\u4e00\u4e2a\u80fd\u529b\u3002\u90a3\u4e48\u672a\u6765\u5176\u5b9e\u540e\u8bad\u7ec3\u7684\u4e2d\u5fc3\uff0c\u5b83\u4f1a\u9010\u6b65\u503e\u5411\u4e8e\u7528\u5f3a\u5316\u5b66\u4e60\uff0c\u4f46\u662f\u5c11\u91cf\u7684\u6570\u636e\u53bb\u7528\u4e8e\u76d1\u7763\u5fae\u8c03\u8fd8\u662f\u5fc5\u987b\u7684\u3002\u4e0e\u6b64\u540c\u65f6\u5f3a\u5316\u5b66\u4e60\u7684\u4e00\u4e2a\u975e\u5e38\u5927\u7684\u9b45\u529b\u5c31\u662f\u8bf4\u5b83\u4e0d\u53ea\u5c40\u9650\u4e8e\u57fa\u4e8e\u89c4\u5219\u7684\u6570\u5b66\u548c\u7b97\u6cd5\u4ee3\u7801\u7b49\u5bb9\u6613\u63d0\u4f9b\u5956\u52b1\u7684\u9886\u57df\uff0c\u5b83\u8fd8\u53ef\u4ee5\u521b\u9020\u6027\u7684\u628a\u8fd9\u4e2a\u63a8\u7406\u80fd\u529b\u6cdb\u5316\u5230\u5176\u4ed6\u9886\u57df\uff0c\u751a\u81f3\u662f\u4ece\u6587\u672c\u6a21\u6001\u6cdb\u5316\u5230\u591a\u6a21\u6001\u3002DeepSeek R1 Zero \u548c DeepSeek R1 \u5b83\u5176\u5b9e\u80cc\u540e\u6709\u4e00\u4e9b\u975e\u5e38\u6df1\u7684\u6280\u672f\u3002\u6211\u4eec\u5728\u8fd9\u91cc\u8fdb\u884c\u9010\u6b65\u5730\u5256\u6790\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-2c2c47eac1a35f7d83b782ff532c54b9.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-2c2c47eac1a35f7d83b782ff532c54b9.png\"><\/a><\/section>\n<section><strong>\u9996\u5148\u7b2c\u4e00\u4e2a\u662f\u5b83\u80cc\u540e\u7684\u6559\u5e08\u6a21\u578b DeepSeek-v3 \u5b83\u5176\u5b9e\u80fd\u591f\u5728 14.8T \u7684\u9ad8\u8d28\u91cf tokens \u4e0a\u8fdb\u884c\u8bad\u7ec3\uff0c\u5176\u5b9e\u7c7b\u4f3c\u4e8e\u63d0\u4f9b\u4e86\u4e00\u4e2a System I \u4e00\u4e2a\u8db3\u591f\u597d\u7684\u76f4\u89c9\u4e5f\u5c31\u662f prior distribution\uff0c\u5176\u5b9e\u65b9\u4fbf\u540e\u7eed\u7684 RL \u8fc7\u7a0b\u7684\u8fdb\u4e00\u6b65\u7684\u63a2\u7d22\u548c\u6316\u6398<\/strong>\u3002\u4e0e\u6b64\u540c\u65f6 DeepSeek-v3 \u7684\u4f4e\u6210\u672c\uff0c\u5176\u5b9e\u4e5f\u662f\u5e26\u6765\u7684\u60ca\u8273\u6548\u679c\u4e5f\u662f\u8ba9\u793e\u533a\u975e\u5e38\u9707\u60ca\u7684\uff0c\u6bd4\u5982\u8bf4\u57fa\u4e8e MoE \u7684\u67b6\u6784\uff0c\u5176\u5b9e\u7528 2048 \u5f20 H100 \u5c31\u53ef\u4ee5 54 \u5929\u5c31\u53ef\u4ee5\u8fdb\u884c\u4e00\u573a\u8bad\u7ec3\u3002\u5728 PPT \u8bb2\u89e3\u7684\u6700\u540e\uff0c\u6211\u4eec\u4e5f\u662f\u4f1a\u5bf9 DeepSeek-v3 \u7684\u5177\u4f53\u7684\u67b6\u6784\u521b\u65b0\u70b9\uff0c\u8fd8\u6709\u5b83\u91c7\u7528\u7684\u4e00\u4e9b\u6280\u672f\u4e0a\u7684\u4f18\u5316\uff0c\u8fdb\u884c\u4e00\u4e2a\u7b80\u5355\u7684\u8bb2\u89e3\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-a9d36854bbd7a7155991e31db742ac3c.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-a9d36854bbd7a7155991e31db742ac3c.png\"><\/a><\/section>\n<section><strong>\u7b2c\u4e8c\u4e2a\u503c\u5f97\u5173\u6ce8\u7684\u4e5f\u5c31\u662f\u5728 DeepSeek R1 \u4e2d\u6240\u63ed\u793a\u7684 RL \u52a0\u6301\u4e0b\u7684\u4e00\u4e2a\u957f\u5ea6\u6cdb\u5316\u548c\u63a8\u7406\u65b9\u5f0f\u7684\u6d8c\u73b0\uff0c\u5728\u5927\u89c4\u6a21\u5f3a\u5316\u5b66\u4e60\u7684\u52a0\u6301\u4e0b DeepSeek R1 Zero \u5176\u5b9e\u8868\u73b0\u51fa\u5728\u63a8\u7406\u4efb\u52a1\u4e0a\u601d\u7ef4\u94fe\u957f\u5ea6\u7684\u81ea\u7136\u589e\u957f\u548c\u6d8c\u73b0<\/strong>\u3002<\/section>\n<section><\/section>\n<section>\u5177\u4f53\u6765\u8bf4\uff0c\u968f\u7740\u53cd\u601d\u6df1\u5ea6\u7684\u9010\u5c42\u52a0\u6df1\u51fa\u73b0\u4e86\u5b83\u53ef\u4ee5\u6807\u8bb0\u4e0d\u660e\u786e\u7684\u6b65\u9aa4\uff0c\u4fdd\u6301\u4e2d\u95f4\u7ed3\u8bba\u9a8c\u8bc1\u548c\u6df7\u5408\u8bed\u8a00\u63a8\u7406\u7b49\u73b0\u8c61\u3002\u4e0e\u6b64\u540c\u65f6\uff0c\u867d\u7136\u6211\u4eec\u4f20\u7edf\u8bf4\u6a21\u578b\u4ec5\u901a\u8fc7\u51c6\u786e\u7387\u5956\u52b1\u548c\u683c\u5f0f\u5956\u52b1\u5c31\u662f\u4e0d\u8db3\u591f\u7684\uff0c\u6216\u8005\u8bf4\u5b83\u7684\u5956\u52b1\u4fe1\u53f7\u53ef\u80fd\u662f\u4e0d\u591f\u4e0d\u5145\u8db3\u7684\u3002\u4f46\u662f\u5728 R1 \u7684\u5b9e\u9a8c\u4e2d\u53d1\u73b0\uff0c\u5373\u4f7f\u662f\u901a\u8fc7\u8fd9\u4e48\u7a00\u758f\u7684\u5956\u52b1\u4fe1\u53f7\u6a21\u578b\u4e5f\u662f\u80fd\u591f\u81ea\u7136\u63a2\u7d22\u5230\u4e00\u4e2a\u9a8c\u8bc1\u3001\u56de\u6eaf\u603b\u7ed3\u548c\u53cd\u601d\u7684\u884c\u4e3a\u65b9\u5f0f\u7684\u3002\u8fd9\u91cc\u9762\u80cc\u540e\u5c31\u6709\u4e00\u4e2a\u95ee\u9898\uff0c\u4e5f\u5c31\u662f\u5982\u4f55\u63a7\u5236\u6765\u4fdd\u8bc1\u6700\u540e\u7684\u56de\u7b54\u7684\u957f\u5ea6\u80fd\u591f\u7a33\u5b9a\u4e0a\u5347\u3002\u90a3\u8fd9\u5176\u5b9e\u662f\u4e00\u4e2a\u975e\u5e38\u5173\u952e\u7684\u95ee\u9898\uff0c\u56e0\u4e3a\u6a21\u578b\u53ef\u80fd\u4f1a\u51fa\u73b0\u53cd\u590d\u91cd\u590d\u9a8c\u8bc1\u6216\u8005\u9a8c\u8bc1\u65f6\u95f4\u8fc7\u665a\u7684\u60c5\u51b5\u3002\u6700\u8fd1\u793e\u533a\u4e5f\u6709\u4e00\u4e9b\u590d\u73b0\u7684\u7ed3\u679c\uff0c\u5305\u62ec\u6211\u4eec\u81ea\u5df1\u56e2\u961f\u4e5f\u5728\u590d\u73b0\uff0c\u5176\u5b9e\u6211\u4eec\u53d1\u73b0\u9664\u4e86 GRPO \u4ee5\u5916\uff0c\u50cf REINFORCE \u7cfb\u5217\u7684\u7b97\u6cd5\u4ee5\u53ca PPO \u7b49\uff0c\u90fd\u662f\u53ef\u4ee5\u51fa\u73b0\u7c7b\u4f3c\u7684\u7ed3\u679c\u7684\u3002REINFORCE \u7cfb\u5217\u7684\u7b97\u6cd5\uff0c\u5b83\u662f\u66f4\u5feb\u66f4\u597d\u7684\uff0cPPO \u5b83\u8bad\u7ec3\u76f8\u5bf9\u66f4\u52a0\u7a33\u5b9a\uff0c\u4f46\u662f\u4f1a\u66f4\u6162\u4e00\u70b9\u3002<\/section>\n<section><\/section>\n<section>\u7b2c\u4e8c\u70b9\u5c31\u662f\u6211\u4eec\u6d8c\u73b0\u7684\u63a8\u7406\u8303\u5f0f\uff0c\u5b83\u5176\u5b9e\u4f1a\u5c55\u73b0\u51fa\u591a\u8bed\u8a00\u6df7\u5408\u7684\u601d\u7ef4\u94fe\u3002\u5176\u5b9e\u5b83\u80cc\u540e\u7684\u4e00\u4e2a\u539f\u56e0\u53ef\u80fd\u662f\u5728\u9884\u8bad\u7ec3\u6570\u636e\u8fc7\u7a0b\u4e2d\u5b83\u662f\u591a\u8bed\u8a00\u7684\uff0c\u4e0d\u540c\u8bed\u8a00\u7684\u6570\u636e\u5b83\u5176\u5b9e\u662f\u88ab\u4e00\u89c6\u540c\u4ec1\u7684\u88ab Tokenization \uff0c\u90a3\u4e48\u5176\u5b9e\u80cc\u540e\u4e00\u4e2a\u95ee\u9898\u5c31\u662f\u4e0d\u540c\u9886\u57df\u7684\u4e0d\u540c\u8bed\u8a00\u7f16\u7801\u662f\u5426\u53ef\u80fd\u4f1a\u6709\u4e0d\u540c\u7684\u4f18\u52bf\u3002\u6bd4\u5982\u8bf4\u5176\u5b9e\u6211\u4eec\u4eba\u7c7b\u5728\u8fdb\u884c\u8bb2\u89e3\u548c\u601d\u8003\u8fc7\u7a0b\u4e2d\uff0c\u5f88\u6709\u53ef\u80fd\u4e5f\u662f\u8fdb\u884c\u6bd4\u5982\u4e2d\u82f1\u6587\u6df7\u6742\u7684\u601d\u8003\u7684\uff0c\u90a3\u4e9b\u6a21\u578b\u5185\u90e8\u662f\u4e0d\u662f\u4e5f\u6709\u7c7b\u4f3c\u4e0d\u540c\u4e8e\u4eba\u7c7b\u601d\u8003\u8303\u5f0f\u7684\u8fd9\u6837\u4e00\u79cd\u8bed\u8a00\u63a8\u7406\u7684\u80fd\u529b\uff0c\u5176\u5b9e\u5bf9\u4e8e\u540e\u7eed\u63ed\u793a\u4e00\u4e9b\u63a8\u7406\u94fe\u7684\u53ef\u89e3\u91ca\u6027\u662f\u975e\u5e38\u91cd\u8981\u7684\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-94d6246a0b6adec3cbf4169eae54cc08.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-94d6246a0b6adec3cbf4169eae54cc08.png\"><\/a><\/section>\n<section>\u5728\u8fd9\u91cc\u6211\u4eec\u5177\u4f53\u8bb2\u89e3 <strong>GRPO \u662f\u5982\u4f55\u8d4b\u80fd\u5f3a\u5316\u5b66\u4e60\u7684\u6269\u5c55\u7684<\/strong>\u3002GRPO \u7684\u6838\u5fc3\u601d\u60f3\u662f\u901a\u8fc7\u6784\u5efa\u591a\u4e2a\u6a21\u578b\u8f93\u51fa\u7684\u7fa4\u7ec4\uff0c\u4e5f\u5c31\u662f\u5bf9\u4e8e\u540c\u4e00\u4e2a\u95ee\u9898\u53bb\u4ea7\u751f\u53ef\u80fd\u662f N \u4e2a\u56de\u7b54\uff0c\u8ba1\u7b97\u7fa4\u7ec4\u5185\u7684\u76f8\u5bf9\u5956\u52b1\u6765\u4f30\u8ba1\u57fa\u7ebf\u76f8\u5bf9\u5956\u52b1\u3002\u5b83\u4e3b\u8981\u53bb\u89e3\u51b3\u4e00\u4e2a\u95ee\u9898\uff0c\u5c31\u662f\u5728\u4f20\u7edf\u7684\u7b56\u7565\u4f18\u5316\u7b97\u6cd5\u6bd4\u5982 PPO \u4e2d\u901a\u5e38\u662f\u9700\u8981\u4e00\u4e2a\u4e0e\u7b56\u7565\u6a21\u578b\u5927\u5c0f\u76f8\u540c\u7684\u4e00\u4e2a Critic Model \u6765\u4f30\u7b97\u5b83\u7684 value\uff0c\u90a3\u6211\u4eec\u628a value model \u53bb\u6389\u5176\u5b9e\u80fd\u591f\u63d0\u5347\u5b83\u6574\u4e2a\u8bad\u7ec3\u7684\u7a33\u5b9a\u6027\u548c\u964d\u4f4e\u7b97\u529b\u7684\u6d88\u8017\u3002\u4e0e\u6b64\u540c\u65f6\uff0c\u5176\u5b9e\u6211\u4eec GRPO \u8fd8\u53ef\u4ee5\u5f15\u5165\u4e00\u4e9b\u989d\u5916\u7684\u4f18\u5316\u7b56\u7565\uff0c\u4ece\u800c\u53bb\u63d0\u5347\u8bad\u7ec3\u7a33\u5b9a\u6027\u3002<\/section>\n<section><\/section>\n<section>\u6211\u4eec\u8fdb\u4e00\u6b65\u8bb2\u89e3\u4e00\u4e0b\u5982\u4f55\u4ece PPO \u63a8\u5bfc\u5230 GRPO\uff0c\u5176\u4e2d PPO \u5b83\u4f5c\u4e3a Actor-Critic \u7684\u7b97\u6cd5\uff0c\u4e5f\u662f\u88ab\u5e7f\u6cdb\u5e94\u7528\u4e8e\u540e\u8bad\u7ec3\uff0c\u5b83\u6838\u5fc3\u76ee\u6807\u4e5f\u5c31\u662f\u4f18\u5316\u4e0b\u9762\u8fd9\u4e2a\u5956\u52b1\u51fd\u6570\u3002\u4e3a\u4e86\u907f\u514d\u6a21\u578b\u7684\u8fc7\u5ea6\u4f18\u5316\uff0c\u6211\u4eec\u901a\u5e38\u4f1a\u5728\u6bcf\u4e2a\u8bcd\u6e90\u7684\u540e\u8fb9\u52a0\u4e0a\u4e00\u4e2a\u4e0e Reference Model \u4e5f\u5c31\u662f\u53c2\u8003\u6a21\u578b\u7684\u4e00\u4e2a KL \u60e9\u7f5a\u9879\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-6dace48fa6185fc63e23458b55fc3d1a.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-6dace48fa6185fc63e23458b55fc3d1a.png\"><\/a><\/section>\n<section>PPO \u7684\u5956\u52b1\u51fd\u6570\u901a\u5e38\u662f\u4e0e\u7b56\u7565\u6a21\u578b\u89c4\u6a21\u76f8\u5f53\u7684\u72ec\u7acb\u6a21\u578b\uff0c\u5c31\u662f Critic model\uff0c\u8fd9\u4f1a\u5e26\u6765\u975e\u5e38\u5927\u7684\u4e00\u4e2a\u5185\u5b58\u548c\u8ba1\u7b97\u7684\u589e\u52a0\u3002\u4e0e\u6b64\u540c\u65f6\u7b2c\u4e8c\u4e2a\u95ee\u9898\u5c31\u662f\u5956\u52b1\u6a21\u578b\uff0c\u901a\u5e38\u5b83\u8981\u5bf9\u8f93\u51fa\u5e8f\u5217\u7684\u6700\u540e\u4e00\u4e2a\u8bcd\u6e90\uff0c\u53bb\u5206\u914d\u5956\u52b1\uff0c\u5bfc\u81f4\u5b83\u9010 Token \u7684\u4ef7\u503c\u51fd\u6570\u7684\u8bad\u7ec3\u662f\u4f1a\u4e0d\u65ad\u590d\u6742\u5316\u7684\u3002<\/section>\n<section><\/section>\n<section>GRPO \u5176\u5b9e\u5982\u53f3\u4e0b\u56fe\u6240\u793a\uff0c GRPO \u4e2d\u662f\u7701\u7565\u4e86 value model \u7684\u8fc7\u7a0b\uff0c\u6bd4\u5982\u8bf4\u6211\u4eec\u4e0d\u7528\u53bb\u4f30\u7b97\u6211\u4eec\u53ef\u4ee5\u76f4\u63a5\u5229\u7528\u4e00\u4e2a\u7ec4\u5229\u7528\u591a\u4e2a output \u53bb\u8ba1\u7b97 reward\uff0c\u7136\u540e\u5229\u7528\u8fd9\u4e2a reward \u5728\u7ec4\u5185\u8fdb\u884c\u4e00\u4e2a\u76f8\u5bf9\u503c\u7684\u4f30\u8ba1\u6765\u83b7\u5f97\u4e00\u7ec4\u4f18\u52bf\u503c\uff0c\u6211\u4eec\u76f8\u5e94\u7684\u4f18\u5316\u7684\u7b56\u7565\u5c31\u53d8\u6210\u4e86\u5bf9\u4e8e\u6574\u4e2a\u4f18\u52bf\u503c\uff0c\u5305\u62ec\u539f\u6765 PPO \u7684\u76ee\u6807\u51fd\u6570\u6539\u53d8\u8fc7\u6765\u76f4\u63a5\u8fdb\u884c\u4f18\u5316\u3002\u5305\u62ec KL \u6563\u5ea6\u7684\u60e9\u7f5a\u9879\uff0c\u5b83\u4e0d\u4f1a\u76f4\u63a5\u52a0\u5230\u5956\u52b1\u91cc\u8fb9\uff0c\u800c\u662f\u76f4\u63a5\u52a0\u5230\u7b56\u7565\u51fd\u6570\u4f18\u5316\u7684\u76ee\u6807\u51fd\u6570\u91cc\u8fb9\uff0c\u8fd9\u4e5f\u662f\u7b80\u5316\u4e86\u6574\u4e2a At \u7684\u8fc7\u7a0b\u7684\u8ba1\u7b97\u3002\u5b83\u548c\u5956\u52b1\u6a21\u578b\u7684\u5bf9\u6bd4\u6027\u8d28\u5176\u5b9e\u662f\u5929\u7136\u5951\u5408\u7684\uff0c\u56e0\u4e3a\u5956\u52b1\u6a21\u578b\u672c\u8eab\u4e5f\u662f\u57fa\u4e8e\u540c\u4e00\u4e2a\u95ee\u9898\u7684\u8f93\u51fa\u8fdb\u884c\u4e00\u4e2a preference \u7684\u6bd4\u8f83\u8bad\u7ec3\uff1bGRPO \u662f\u5728\u8ba1\u7b97\u7ec4\u5185\u4f18\u52bf\u503c\u7684\u65f6\u5019\u8fdb\u884c\u4e00\u4e2a\u76f8\u5bf9\u503c\u7684\u8ba1\u7b97\uff0c\u5176\u5b9e\u5b83\u80fd\u591f\u63d0\u5347\u7ec4\u5185\u597d\u56de\u7b54\u7684\u6bd4\u4f8b\uff0c\u964d\u4f4e\u7ec4\u5185\u574f\u56de\u7b54\u7684\u6bd4\u4f8b\uff0c\u5176\u5b9e\u5929\u7136\u662f\u5177\u6709\u76f8\u5bf9\u4f18\u52bf\u7684\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-9ac60c1ca07ac40279a89d50e07f608f.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-9ac60c1ca07ac40279a89d50e07f608f.png\"><\/a><\/section>\n<section><strong>GRPO \u5b83\u5176\u5b9e\u5206\u4e3a\u4e24\u79cd\uff1a\u7b2c\u4e00\u4e2a\u662f\u57fa\u4e8e\u7ed3\u679c\u7684\uff0c\u7b2c\u4e8c\u662f\u57fa\u4e8e\u8fc7\u7a0b<\/strong><strong>\u7684\u3002\u5bf9\u4e8e\u57fa\u4e8e\u7ed3\u679c\u7684\u5f62\u5f0f<\/strong>\uff0c\u5bf9\u4e8e\u6bcf\u4e2a\u95ee\u9898\u53ef\u4ee5\u91c7\u7528\u4e00\u7cfb\u5217\u7684\u8f93\u51fa\u5956\u52b1\u6a21\u578b\u53bb\u4e3a\u8fd9\u4e00\u7cfb\u5217\u7684\u8f93\u51fa\u53bb\u751f\u6210\u5956\u52b1\uff0c\u90a3\u4e48\u968f\u540e\u53bb\u901a\u8fc7\u8fdb\u884c\u4e00\u4e2a normalization\uff0c\u4e5f\u5c31\u662f\u8fdb\u884c\u5f52\u4e00\u5316\uff0c\u7136\u540e\u628a\u5f52\u4e00\u5316\u540e\u7684\u5956\u52b1\u53bb\u5206\u914d\u7ed9\u6bcf\u4e2a\u8f93\u51fa\u7684\u672b\u5c3e\u7684 token\uff0c\u7136\u540e\u53bb\u8bbe\u4e3a\u5bf9\u5e94\u7684 reward \u5c31\u53ef\u4ee5\u4e86\u3002\u5176\u5b9e\u5b83\u7684\u8868\u8fbe\u5f0f\u5c31\u662f\u8fd9\u6837\u7684\uff0c\u76f8\u5f53\u4e8e\u4f20\u7edf\u7684\u4f18\u52bf\u503c\u8ba1\u7b97\u662f\u975e\u5e38\u7b80\u5316\u7684\u3002<strong>\u8fdb\u4e00\u6b65\u5176\u5b9e\u4e5f\u53ef\u4ee5\u628a GRPO \u6269\u5c55\u5230\u57fa\u4e8e\u8fc7\u7a0b\u7684\u76d1\u7763\u4e0b<\/strong>\uff0c\u56e0\u4e3a\u662f\u7ed3\u679c\u76d1\u7763\uff0c\u5b83\u662f\u4ec5\u63d0\u4f9b\u8f93\u51fa\u672b\u5c3e\u7684\u5956\u52b1\uff0c\u5bf9\u4e8e\u590d\u6742\u6570\u5b66\u4efb\u52a1\u7684\u7b56\u7565\u6307\u5bfc\u662f\u4e0d\u8db3\u7684\u3002\u8fdb\u4e00\u6b65\u6211\u4eec\u53ef\u4ee5\u5bf9\u4e8e\u4e00\u4e2a\u95ee\u9898\u53bb\u91c7\u6837\u591a\u4e2a\u8f93\u51fa\uff0c\u6211\u4eec\u5229\u7528\u8fc7\u7a0b\u5956\u52b1\u6a21\u578b\u53bb\u4e3a\u6bcf\u4e2a\u6b65\u9aa4\u53bb\u751f\u6210\u5956\u52b1\uff0c\u6bd4\u5982\u751f\u6210\u4e00\u7cfb\u5217\u7684\u5956\u52b1\u7684\u4fe1\u53f7\u89c4\u4e00\u5316\u4e4b\u540e\uff0c\u4f18\u52bf\u503c\u4e3a\u6700\u540e\u5956\u52b1\u4fe1\u53f7\u4e00\u4e2a\u9010\u6b65\u7684\u7d2f\u52a0\u548c\uff0c\u5176\u5b9e\u5b83\u4f5c\u4e3a\u4e00\u4e2a\u8fc7\u7a0b\u76d1\u7763\u7684\u7b97\u6cd5\u4e5f\u662f\u975e\u5e38\u65b9\u4fbf\u7684\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-2b2dcd69efd590adc1b9b6c07ae0d4ef.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-2b2dcd69efd590adc1b9b6c07ae0d4ef.png\"><\/a><\/section>\n<section>\u8fd9\u662f\u5bf9 DeepSeek-R1 \u7684 Takeaways \u7684\u7b2c\u4e8c\u90e8\u5206\u603b\u7ed3\uff0cR1-Zero \u5b83\u5176\u5b9e\u8282\u7701\u4e86\u5927\u91cf\u7684\u6807\u6ce8\u6210\u672c\uff0c\u90a3\u4e48\u4f7f\u6a21\u578b\u83b7\u5f97\u4e86\u66f4\u52a0\u81ea\u7531\u63a2\u7d22\u89e3\u51b3\u95ee\u9898\u7684\u8def\u5f84\uff0c\u5b83\u4e0d\u4f1a\u88ab\u9884\u5148\u8bbe\u5b9a\u7684\u6a21\u5f0f\u6240\u675f\u7f1a\u3002\u4e3a\u4e86\u5145\u5206\u7684\u53bb\u91ca\u653e\u5f3a\u5316\u5b66\u4e60\u7684\u6f5c\u529b\uff0c\u540c\u65f6\u53bb\u89e3\u51b3\u50cf R1-Zero \u4e2d\u51fa\u73b0\u7684\u8bed\u8a00\u6df7\u6742\u4ee5\u53ca\u8bad\u7ec3\u4e0d\u7a33\u5b9a\u7b49\u7b49\u7279\u6027\uff0cDeepSeek R1 \u7684\u8bad\u7ec3\u4e2d\u91c7\u7528\u4e86\u56db\u9636\u6bb5\u4ea4\u66ff\u8bad\u7ec3\u7684\u8fc7\u7a0b\uff0c\u90a3\u662f\u4ece\u76d1\u7763\u5fae\u8c03\u5230\u5f3a\u5316\u5b66\u4e60\u518d\u5230\u518d\u6b21\u7684\u76d1\u7763\u5fae\u8c03\u4ee5\u53ca\u5f3a\u5316\u5b66\u4e60\uff0c\u4ece\u800c\u901a\u8fc7\u51b7\u542f\u52a8\u6765\u89e3\u51b3\u4e86\u4e00\u4e9b\u6536\u655b\u6548\u7387\u7684\u95ee\u9898\u3002<\/section>\n<section><\/section>\n<section>DeepSeek R1 \u4e5f\u662f\u81ea\u4e3b\u6d8c\u73b0\u4e86\u50cf\u81ea\u9a8c\u8bc1\uff0c\u53cd\u601d\u548c\u957f\u94fe\u63a8\u7406\u80fd\u529b\uff0c\u6bd4\u5982\u81ea\u9a8c\u8bc1\u5b83\u4f1a\u4e00\u4e2a\u6a21\u578b\u5728\u751f\u6210\u6700\u7ec8\u7b54\u6848\u4e4b\u524d\u4f1a\u4e3b\u52a8\u7684\u9a8c\u8bc1\u81ea\u5df1\u7684\u4e2d\u95f4\u63a8\u7406\u6b65\u9aa4\u662f\u4e0d\u662f\u6b63\u786e\u7684\uff0c\u5c31\u50cf\u662f\u4e00\u4e2a\u5b66\u751f\u5728\u505a\u9898\u7684\u8fc7\u7a0b\u4e2d\u4f1a\u53cd\u590d\u68c0\u67e5\u81ea\u5df1\u7684\u89e3\u9898\u8fc7\u7a0b\u6765\u786e\u4fdd\u7b54\u6848\u7684\u51c6\u786e\u6027\uff1b\u53cd\u601d\u662f\u6307\u6a21\u578b\u4f1a\u56de\u6eaf\u68c0\u67e5\u81ea\u5df1\u4e4b\u524d\u7684\u63a8\u7406\u8fc7\u7a0b\u5e76\u6839\u636e\u68c0\u67e5\u7684\u7ed3\u679c\u8fdb\u884c\u4fee\u6b63\uff0c\u76f8\u5f53\u4e8e\u4e00\u4e2a\u5b66\u751f\u5728\u590d\u4e60\u7684\u65f6\u5019\u4f1a\u53cd\u601d\u81ea\u5df1\u4e4b\u524d\u7684\u9519\u8bef\uff0c\u4ee5\u4fbf\u4e0b\u6b21\u4e0d\u518d\u72af\u540c\u6837\u7684\u9519\u8bef\uff1b\u800c\u957f\u94fe\u63a8\u7406\u80fd\u529b\u5219\u662f\u8ba9\u6a21\u578b\u80fd\u591f\u5904\u7406\u590d\u6742\uff0c\u66f4\u9700\u8981\u591a\u6b65\u9aa4\u601d\u8003\u7684\u95ee\u9898\uff0c\u8fd9\u79cd\u80fd\u529b\u5bf9\u4e8e\u89e3\u51b3\u4e00\u4e9b\u9700\u8981\u8de8\u8d8a\u591a\u4e2a\u903b\u8f91\u6b65\u9aa4\uff0c\u624d\u80fd\u627e\u5230\u7b54\u6848\u7684\u95ee\u9898\u81f3\u5173\u91cd\u8981\uff0c\u4e5f\u6709\u590d\u6742\u7684\u6570\u5b66\u9898\u6216\u8005\u903b\u8f91\u8c1c\u9898\u3002\u51b7\u542f\u52a8\u4e5f\u80fd\u591f\u8ba9\u5f3a\u5316\u5b66\u4e60\u7684\u8bad\u7ec3\u66f4\u52a0\u7a33\u5b9a\uff0c\u6bd4\u5982\u52a0\u5f3a\u5b83\u7684\u6536\u655b\u6027\uff0c\u4ee5\u53ca\u63d0\u9ad8\u6a21\u578b\u8f93\u51fa\u7684\u53ef\u8bfb\u6027\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-0a70a2f3bd441a3d478badab2a187a90.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-0a70a2f3bd441a3d478badab2a187a90.png\"><\/a><\/section>\n<section>\u6211\u4eec\u5c55\u73b0\u51fa\u4e86\u51e0\u4e2a\u6bd4\u8f83\u5173\u952e\u7684\u6280\u672f\uff0c\u6bd4\u5982\u8bf4\u63a8\u7406\u4e3a\u4e2d\u5fc3\u7684\u5f3a\u5316\u5b66\u4e60\u8bad\u7ec3\uff0c\u5176\u4e2d\u5c31\u662f\u8bed\u8a00\u4e00\u81f4\u6027\u5956\u52b1\u4ee5\u53ca\u591a\u76ee\u6807\u4f18\u5316\u3002\u8fd8\u6709 GRPO \u4e5f\u5c31\u662f\u57fa\u4e8e\u7fa4\u7ec4\u7684\u76f8\u5bf9\u7b56\u7565\u4f18\u5316\uff0c\u8fd9\u6837\u4e00\u4e2a\u975e\u5e38\u5173\u952e\u7684\u6280\u672f\u3002\u5728\u5956\u52b1\u673a\u5236\u7684\u8bbe\u8ba1\u4e0a\u5176\u5b9e\u4e5f\u662f\u6bd4\u8f83\u91cd\u8981\u7684\uff0c\u56e0\u4e3a\u65e2\u8981\u517c\u987e\u4e00\u4e2a\u63a8\u7406\u80fd\u529b\uff0c\u4e5f\u5c31\u662f\u901a\u8fc7\u51c6\u786e\u7387\u5956\u52b1\u548c\u683c\u5f0f\u5956\u52b1\u6765\u53bb\u8fdb\u884c\u9650\u5236\uff0c\u90a3\u4e5f\u8981\u5f15\u5165\u4e00\u4e2a\u8bed\u8a00\u4e00\u81f4\u6027\u5956\u52b1\uff0c\u4ece\u800c\u60e9\u7f5a\u5728\u63a8\u7406\u8fc7\u7a0b\u4e2d\u4f7f\u7528\u591a\u79cd\u8bed\u8a00\u8f93\u51fa\u7684\u8fd9\u4e48\u4e00\u4e2a\u73b0\u8c61\uff0c\u4ece\u800c\u53bb\u9f13\u52b1\u6a21\u578b\u5c3d\u53ef\u80fd\u53bb\u4f7f\u7528\u4e00\u79cd\u76ee\u6807\u8bed\u8a00\u8fdb\u884c\u63a8\u7406\u6765\u4fdd\u8bc1\u6a21\u578b\u8f93\u51fa\u7684\u8bed\u8a00\u98ce\u683c\u7684\u4e00\u81f4\u6027\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-e1d162024a757864337dd1fbcfda9dc7.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-e1d162024a757864337dd1fbcfda9dc7.png\"><\/a><\/section>\n<section>DeepSeek R1 \u5176\u5b9e\u4e5f\u5e26\u6765\u4e86\u5f88\u5f3a\u7684\u793e\u4f1a\u548c\u7ecf\u6d4e\u6548\u76ca\uff0c\u80cc\u540e\u5176\u5b9e\u662f\u4e00\u4e2a\u4f4e\u6210\u672c\u548c\u9ad8\u8d28\u91cf\u8bed\u8a00\u6a21\u578b\u8fb9\u754c\u7684\u63a2\u7d22\uff0c\u6211\u4eec\u5176\u5b9e\u6574\u4e2a\u5927\u8bed\u8a00\u6a21\u578b\u53d1\u5c55\u8fc7\u7a0b\uff0c\u5b83\u7684\u6269\u5c55\u5f8b\u6700\u521d\u662f\u6a21\u578b\u7684\u89c4\u6a21\u3001\u7136\u540e\u662f\u6570\u636e\u96c6\u7684\u89c4\u6a21\uff0c\u73b0\u5728\u662f\u63a8\u7406\u65f6\u7684\u8ba1\u7b97\u8d44\u6e90\u548c\u5408\u6210\u6570\u636e\u3002\u8fd9\u5c31\u610f\u5473\u7740 DeepSeek R1 \u5176\u5b9e\u80fd\u591f\u66f4\u65b9\u4fbf\u5730\u6574\u5408\u5230\uff0c\u50cf AI2Science \u4e5f\u5c31\u662f\u8ba1\u7b97\u79d1\u5b66\u4ee5\u53ca\u4e00\u4e9b\u5927\u89c4\u6a21\u7684 API \u5e94\u7528\u4e2d\u3002\u901a\u8fc7\u5782\u76f4\u9886\u57df\u548c\u6a2a\u5411\u7684\u62d3\u5c55\uff0c\u6bd4\u5982\u8bf4\u5f15\u5165 RAG \u7684\u6280\u672f\u7b49\u7b49\uff0c\u8fd9\u5176\u5b9e\u90fd\u662f\u975e\u5e38\u65b9\u4fbf\u7684\u3002\u5f53\u7136\u4e5f\u5e26\u6765\u4e00\u4e9b\u7ecf\u6d4e\u6548\u76ca\uff0c\u6bd4\u5982\u8bf4\u8d44\u672c\u5e02\u573a\u7684\u5267\u70c8\u6ce2\u52a8\uff0c\u5305\u62ec\u50cf\u7814\u53d1\u7684\u6295\u5165\u548c\u6570\u636e\u7684\u6570\u636e\u4e2d\u5fc3\u7684\u5efa\u8bbe\u6210\u672c\u6fc0\u589e\uff0c\u5176\u5b9e\u80cc\u540e\u4e5f\u662f\u7b97\u529b\u519b\u5907\u7ade\u8d5b\u7684\u4e00\u4e2a\u5faa\u73af\uff0c\u5176\u5b9e\u968f\u7740\u6a21\u578b\u4f7f\u7528\u65b9\u6848\u7684\u5e73\u6c11\u5316\uff0c\u8d44\u6e90\u4e5f\u662f\u80fd\u591f\u5f97\u5230\u6709\u6548\u7684\u4f18\u5316\uff0c\u4ece\u800c\u80fd\u591f\u5728\u6709\u9650\u7684\u7b97\u529b\u8d44\u6e90\u652f\u6301\u4e0b\uff0c\u7a81\u7834\u7b97\u6cd5\u7684\u521b\u65b0\u7136\u540e\u7a81\u7834\u7b97\u529b\u7684\u9650\u5236\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-3ec3d30f1c136e21506747f9c33b55f9.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-3ec3d30f1c136e21506747f9c33b55f9.png\"><\/a><\/section>\n<section><strong>\u6280\u672f\u5bf9\u6bd4\u63a2\u8ba8<\/strong><\/section>\n<section><\/section>\n<section>\u4e0e DeepSeek-R1 \u540c\u7cfb\u5217\u51fa\u73b0\u7684\uff0c\u5176\u5b9e\u8fd8\u6709 Kimi k1.5\u3002\u6211\u4eec\u4e5f\u662f\u5148\u5bf9 Kimi k1.5 \u7684\u6280\u672f\u8fdb\u884c\u4e00\u4e2a\u7b80\u5355\u7684\u8bb2\u89e3\uff0c\u7136\u540e\u53bb\u5bf9\u6bd4\u548c\u5206\u6790\u8fd9\u4e24\u4e2a\u6a21\u578b\u5b83\u91c7\u7528\u7684\u6280\u672f\u80cc\u540e\u662f\u4e0d\u662f\u6709\u4ec0\u4e48\u53ef\u53d6\u4e4b\u5904\uff0c\u4ee5\u53ca\u548c\u6211\u4eec\u63a8\u6d4b\u548c\u793e\u533a\u7684\u4e00\u4e9b\u5176\u4ed6\u590d\u73b0\u7ed3\u679c\u7684\u4e00\u4e2a\u5bf9\u6bd4\u3002<\/section>\n<section><\/section>\n<section>Kimi K1.5 \u5176\u5b9e\u548c Kimi \u7cfb\u5217\u7684\u6a21\u578b\u5176\u5b9e\u662f\u4e00\u6837\uff0c\u5b83\u662f\u90fd\u662f\u60f3\u8981\u7528\u957f\u6587\u672c\u6765\u89e3\u51b3\u4e00\u4e9b\u95ee\u9898\uff0c\u6bd4\u5982\u8bf4 Kimi K1.5 \u5176\u5b9e\u4e13\u6ce8\u4e8e\u5229\u7528\u957f\u6587\u672c\u7684 CoT \u8f93\u51fa\u6765\u89e3\u51b3\u63a8\u7406\u65f6\u7684\u6269\u5c55\u95ee\u9898\uff0c\u5b83\u7684\u6838\u5fc3\u4e5f\u5c31\u662f\u901a\u8fc7\u5f3a\u5316\u5b66\u4e60\u6765\u8ba9\u6a21\u578b\u53bb\u8bd5\u9519\u6765\u5b66\u4e60\u89e3\u51b3\u95ee\u9898\u7684\u80fd\u529b\uff0c\u5b83\u901a\u8fc7\u5c06\u5f3a\u5316\u5b66\u4e60\u7684\u4f18\u5316\u65b9\u5f0f\u8fdb\u884c\u4e00\u4e2a\u4fee\u6539\u6765\u5e94\u7528\u4e8e\u957f\u6587\u672c\u63a8\u7406\u94fe\u751f\u6210\u7684\u8fc7\u7a0b\uff0c\u4ece\u800c\u542f\u53d1\u6a21\u578b\u8fdb\u884c\u66f4\u6df1\u5165\u66f4\u590d\u6742\u7684\u63a8\u7406\u3002<\/section>\n<section><\/section>\n<section>\u5176\u5b9e\u548c GRPO \u7684\u91c7\u7528\u6709\u5f88\u5927\u7684\u4e0d\u540c\uff0c\u4ed6\u4eec\u91c7\u7528\u7684\u6280\u672f\u5176\u5b9e\u662f\u4e00\u4e2a REINFORCE \u7cfb\u5217\u7684\u4e00\u4e2a\u7b97\u6cd5\u7684\u53d8\u5f62\uff0c\u5176\u5b9e <strong>Kimi \u4e00\u76f4\u5173\u6ce8\u7684\u4e5f\u5c31\u662f\u957f\u6587\u672c\u80fd\u529b\u7684\u62d3\u5c55\uff0c\u6838\u5fc3\u7684 insights \u4e5f\u5c31\u662f\u957f\u6587\u672c\u80fd\u529b\u662f\u5f3a\u5316\u5b66\u4e60\u8bad\u7ec3\u8bed\u8a00\u6a21\u578b\u7684\u5173\u952e\uff0c\u800c\u4e0d\u662f\u9700\u8981\u4e00\u4e9b\u66f4\u590d\u6742\u7684\u8bad\u7ec3\u6280\u5de7<\/strong>\u3002\u5176\u4e2d\u4ed6\u4eec\u8fd8\u6709\u4e00\u4e2a\u66f4 interesting \u7684\u5730\u65b9\u662f\u957f\u6587\u672c\u5230\u77ed\u6587\u672c\u7684\u4e00\u4e2a\u62d3\u5c55\uff0c\u901a\u8fc7\u957f\u6587\u672c\u7684\u601d\u7ef4\u94fe\u6a21\u578b\u6765\u6307\u5bfc\u77ed\u6587\u672c\u6a21\u578b\u7684\u8bad\u7ec3\uff0c\u4ece\u800c\u80fd\u591f\u5728\u6709\u9650\u7684\u8ba1\u7b97\u8d44\u6e90\u4e0b\u53bb\u83b7\u5f97\u66f4\u597d\u7684\u6027\u80fd\u3002\u6211\u4eec\u53ef\u4ee5\u770b\u5230\u5b83\u5728\u4e00\u4e9b\u6570\u5b66\u63a8\u7406\u4ee3\u7801\u63a8\u7406\u7684\u4efb\u52a1\uff0c\u5305\u62ec\u89c6\u89c9\u63a8\u7406\u7684\u4efb\u52a1\u4e0a\u5176\u5b9e\u90fd\u8d85\u8fc7\u4e00\u4e9b\u5f00\u6e90\u7684\u6a21\u578b\u548c OpenAI \u7684\u7cfb\u5217\u6a21\u578b\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-3955676984b33f93612e46469c3f95ce.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-3955676984b33f93612e46469c3f95ce.png\"><\/a><\/section>\n<section>\u5177\u4f53\u6765\u8bf4\uff0c Kimi k1.5 \u7684\u8fc7\u7a0b\u662f\u5206\u4e3a 4 \u9636\u6bb5\uff1a\u7b2c\u4e00\u662f\u9884\u8bad\u7ec3\u9636\u6bb5\uff0c\u7136\u540e\u8fdb\u884c\u4e86\u76d1\u7763\u5fae\u8c03\uff0c\u8fdb\u4e00\u6b65\u4e3a\u4e86\u6269\u5c55\u5b83\u7684\u957f\u6587\u672c\u601d\u7ef4\u94fe\u63a8\u7406\u80fd\u529b\u8fdb\u884c\u4e86 long cot \u7684\u76d1\u7763\u5fae\u8c03\uff0c\u8fdb\u800c\u8fdb\u884c\u4e86\u5f3a\u5316\u5b66\u4e60\u7684\u8bad\u7ec3\u3002\u8fd9\u91cc\u8fb9\u4e5f\u91c7\u7528\u4e86\u4e00\u4e9b\u76f8\u5e94\u7684\u4e00\u4e9b recipes \u4e00\u4e9b\u6280\u5de7\uff0c\u5176\u5b9e\u4e5f\u662f\u5728\u8fd9\u91cc\u53ef\u4ee5\u4e00\u5757\u5206\u4eab\u7ed9\u5927\u5bb6\u3002<\/section>\n<section><\/section>\n<section>\u9996\u5148\u662f\u5bf9\u4e8e RL \u95ee\u9898\u7684\u51c6\u5907\uff0c\u6211\u89c9\u5f97\u8fd9\u5176\u5b9e\u4e5f\u662f\u793e\u533a\u590d\u73b0\u7684\u4e00\u4e9b\u5171\u7528\u7684\u6280\u5de7\uff0c\u6bd4\u5982\u8bf4\u5e0c\u671b RL \u7684 Prompt \u80fd\u591f\u6db5\u76d6\u8db3\u591f\u591a\u7684\u8303\u56f4\uff0c\u6bd4\u5982\u8bf4\u5305\u62ec\u4ee3\u7801 Coding\/\u901a\u7528\u4efb\u52a1\u4ee5\u53ca\u4e00\u4e9b\u7406\u5de5\u79d1\u95ee\u9898\u7684\u6570\u636e\u3002\u540c\u65f6 RL \u8bad\u7ec3\u4e5f\u8981\u53bb balance \u4e0d\u540c\u7684\u96be\u5ea6\uff0c\u4ece\u800c\u8fbe\u5230\u4e00\u4e2a\u4ece\u6613\u5230\u96be\u8bfe\u7a0b\u5b66\u4e60\u7684\u6548\u679c\u3002\u4e0e\u6b64\u540c\u65f6\u8fd9\u4e9b RL prompt \u7684\u50cf\u6570\u636e\u4ee3\u7801\u95ee\u9898\uff0c\u5b83\u6700\u597d\u662f\u80fd\u591f\u88ab\u4e00\u4e9b Verifiers \u51c6\u786e\u7684\u8bc4\u4ef7\uff0c\u8fd9\u53ef\u4ee5\u9632\u6b62\u9632\u6b62\u6cdb\u5316\u51fa\u4e00\u4e9b\u5956\u52b1\u653b\u9677\u4ee5\u53ca\u4e00\u4e9b Superficial Patterns\uff0c\u5c31\u662f\u4e00\u4e9b\u6d6e\u4e8e\u8868\u9762\u7684\u4e00\u4e9b\u8868\u5f81\u7684\u8fd9\u6837\u4e00\u4e2a\u884c\u4e3a\u3002\u8fdb\u4e00\u6b65\u5728 Long CoT \u76d1\u7763\u5fae\u8c03\u8fc7\u7a0b\u4e2d\uff0c\u4ed6\u4eec\u662f\u6784\u9020\u4e86\u8fd9\u4e48\u4e00\u4e2a warm up \u7684\u6570\u636e\uff0c\u5176\u4e2d\u5305\u62ec\u4e00\u4e9b\u6bd4\u8f83\u51c6\u786e\u7684\u63a8\u7406\u8def\u5f84\u53bb for \u56fe\u6587\u7684\u8f93\u5165\uff0c\u90a3\u4e5f\u662f\u6db5\u76d6\u4e86\u4e00\u4e9b planning\uff0c\u8bc4\u4ef7\u53cd\u601d\u4ee5\u53ca\u63a2\u7d22\u7684\u65b9\u5f0f\uff0c\u7136\u540e\u4ece\u800c\u8ba9\u6a21\u578b\u6216\u5728 RL \u8bad\u7ec3\u8fc7\u7a0b\u524d\u5c31\u83b7\u5f97\u8fd9\u6837\u4e00\u4e2a\u6bd4\u8f83\u597d\u7684\u542f\u52a8\u7684\u65b9\u5f0f\u3002\u00a0<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-ae8b7479e8275ec1b4c1db4e29e02293.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-ae8b7479e8275ec1b4c1db4e29e02293.png\"><\/a><\/section>\n<section>\u5176\u5b9e\u66f4\u6709\u8da3\u7684\u662f\u8bf4\uff0c<strong>Kimi k1.5 \u662f\u4ece\u4e00\u4e2a In-Context RL \u7684\u89d2\u5ea6\u51fa\u53d1\uff0c\u4e5f\u5c31\u662f\u6211\u4eec\u4f20\u7edf\u5728 MCTS \u8fc7\u7a0b\u4e2d\u548c\u5305\u62ec\u4e00\u4e9b\u641c\u7d22\u8fc7\u7a0b\u90fd\u662f\u4e00\u4e2a\u53ef\u4ee5\u88ab\u89c6\u4e3a\u4e00\u4e2a planning\uff0c\u4e5f\u5c31\u662f\u89c4\u5212\u7684\u8fc7\u7a0b<\/strong>\u3002\u6211\u4eec\u4e0e\u5176\u901a\u8fc7\u89c4\u5212\u6765\u4f7f\u5f97\u6a21\u578b\u663e\u5f0f\u7684\u53bb\u6269\u5c55\u8ba1\u7b97\u91cf\uff0c\u4e3a\u4ec0\u4e48\u4e0d\u80fd\u7528\u6a21\u578b\u53bb\u6a21\u62df planning \u8fc7\u7a0b\uff0c\u6bd4\u5982\u8bf4\u5176\u5b9e\u5728\u6574\u4e2a\u641c\u7d22\u7684\u8fc7\u7a0b\u4e2d\uff0c\u6211\u4eec\u53ef\u4ee5\u5c06\u6bcf\u4e2a state \u6bd4\u5982\u6bcf\u4e2a\u72b6\u6001\u548c\u5bf9\u5e94\u72b6\u6001\u7684\u4ef7\u503c\uff0c\u90fd\u89c6\u4e3a\u4e00\u4e2a language token\u3002\u4ece\u8fd9\u6837\u7684\u89d2\u5ea6\u51fa\u53d1\u6211\u4eec\u5176\u5b9e\u5c31\u53ef\u4ee5\u628a\u5b83\u5efa\u6a21\u6210\u4e00\u4e2a contextual bandit \u7684\u95ee\u9898\uff0c\u7136\u540e\u4ece\u800c\u5229\u7528 reinforce \u7684\u53d8\u79cd\u8fdb\u884c\u4f18\u5316\u3002\u4e0e\u6b64\u540c\u65f6\u6211\u4eec\u4e0e\u6b64\u540c\u65f6\uff0c\u5176\u5b9e Kimi-K1.5 \u8fd8\u9700\u8981\u5f15\u5165\u4e00\u4e2a\u957f\u5ea6\u60e9\u7f5a\u7684\u673a\u5236\uff0c\u4ece\u800c\u9632\u6b62\u6a21\u578b\u5b83\u53bb\u751f\u6210\u8fc7\u957f\u7684\u63a8\u7406\u8fc7\u7a0b\u6765\u63d0\u9ad8\u5b83\u7684\u8ba1\u7b97\u6548\u7387\u3002\u5176\u5b9e\u6a21\u578b\u4e5f\u4f1a\u51fa\u73b0\u8fd9\u6837\u4e00\u79cd overthinking \u4e5f\u5c31\u662f\u8fc7\u5ea6\u601d\u8003\u7684\u884c\u4e3a\u3002Overthinking \u7684\u8fc7\u5ea6\u601d\u8003\u7684\u884c\u4e3a\u5176\u5b9e\u53ef\u80fd\u4f1a\u5bfc\u81f4\u4e00\u4e2a\u66f4\u597d\u7684\u8868\u73b0\uff0c\u4f46\u662f\u4f1a\u5e26\u6765\u8bad\u7ec3\u548c\u63a8\u7406\u8fc7\u7a0b\u4e2d\u66f4\u5927\u7684\u7b97\u529b\u7684\u635f\u8017\u3002<\/section>\n<section><\/section>\n<section>\u4e0e\u6b64\u540c\u65f6 K1.5 \u4e5f\u7528\u4e86\u4e00\u4e9b\u91c7\u6837\u7b56\u7565\u7684\u4f18\u5316\uff0c\u5176\u4e2d\u5305\u62ec\u8bfe\u7a0b\u5b66\u4e60\u548c\u4f18\u5148\u91c7\u6837\u7684\u7b97\u6cd5\uff0c\u6bd4\u5982\u8bfe\u7a0b\u5b66\u4e60\u4e5f\u5c31\u662f\u6839\u636e\u95ee\u9898\u7684\u96be\u5ea6\u8ba9\u6a21\u578b\u53bb\u5148\u5b66\u5bb9\u6613\u7684\u4f8b\u5b50\uff0c\u7136\u540e\u518d\u9010\u6b65\u5f15\u5165\u66f4\u96be\u7684\u4f8b\u5b50\uff0c\u4ece\u800c\u5faa\u5e8f\u6e10\u8fdb\u7684\u53bb\u638c\u63e1\u77e5\u8bc6\u3002\u4f18\u5148\u91c7\u6837\u4e5f\u5c31\u662f\u6839\u636e\u96be\u5ea6\u548c\u5bf9\u4e8e\u95ee\u9898\u7684\u638c\u63e1\u7a0b\u5ea6\u6765\u8c03\u6574\u91c7\u6837\u6982\u7387\uff0c\u4f7f\u6a21\u578b\u66f4\u503e\u5411\u4e8e\u53bb\u91c7\u6837\u90a3\u4e9b\u56f0\u96be\u7684\u6216\u8005\u4e0d\u64c5\u957f\u7684\u95ee\u9898\uff0c\u6765\u63d0\u9ad8\u5b83\u7684\u8bad\u7ec3\u7684\u6548\u7387\u3002\u957f\u5ea6\u60e9\u7f5a\u5176\u5b9e\u4e5f\u5c31\u662f\u91c7\u7528\u50cf\u4e0b\u9762\u8fd9\u4e2a\u516c\u5f0f\u6240\u793a\u7684\u6211\u4eec\u91c7\u7528\u4e00\u7ec4\u8fd9\u6837\u4e00\u4e2a\u56de\u7b54\uff0c\u7136\u540e\u901a\u8fc7\u8ba1\u7b97\u7ec4\u5185\u7684\u6700\u6700\u5927\u957f\u5ea6\u548c\u6700\u77ed\u957f\u5ea6\u6765\u8ba1\u7b97\u8fd9\u4e2a\u5e73\u5747\u957f\u5ea6\u4f5c\u4e3a\u4e00\u4e2a reference \u503c\u3002\u7b2c\u4e8c\u4e2a\u5c31\u662f\u7b56\u7565\u4f18\u5316\u7684\u635f\u5931\u51fd\u6570\u4e5f\u5c31\u662f\u6211\u4eec\u76f4\u63a5\u5176\u5b9e\u53ef\u4ee5\u91c7\u7528\u4e00\u4e2a reinforce \u7684\u53d8\u79cd\u53bb\u4f18\u5316 surrogate \u7684 loss\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-1c8bffd7a3f8bd330b4a284043179608.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-1c8bffd7a3f8bd330b4a284043179608.png\"><\/a><\/section>\n<section>\u5176\u4e2d <strong>Kimi K1.5 \u8fd8\u91c7\u7528\u4e86\u4e00\u4e9b\u89c6\u89c9\u6570\u636e\u7684\u6784\u5efa\uff0c\u5305\u62ec\u50cf\u771f\u5b9e\u4e16\u754c\u7684\u6570\u636e\u5176\u4e2d\u5c31\u5305\u62ec\u4e00\u4e9b\u4f4d\u7f6e\u7684\u731c\u6d4b<\/strong>\u3002\u7136\u540e\u4f20\u7edf\u7684 VQA\uff0c\u5176\u5b9e\u5b83\u662f\u4e3a\u4e86\u63d0\u5347\u6a21\u578b\uff0c\u5728\u771f\u5b9e\u573a\u666f\u4e2d\u7684\u89c6\u89c9\u63a8\u7406\u80fd\u529b\uff1b\u7b2c\u4e8c\u4e2a\u662f\u5408\u6210\u89c6\u89c9\u63a8\u7406\u6570\u636e\uff0c\u4e5f\u5c31\u662f\u5b83\u662f\u4e00\u4e2a\u4eba\u5de5\u5408\u6210\u7684\uff0c\u6bd4\u5982\u53bb\u63d0\u9ad8\u4e3b\u8981\u662f\u63d0\u9ad8\u4e00\u4e2a\u7a7a\u95f4\u5173\u7cfb\u3001\u51e0\u4f55\u6a21\u5f0f\u548c\u7269\u4f53\u4ea4\u4e92\u7684\u8fd9\u4e48\u4e00\u4e2a\u80fd\u529b\u3002\u8fd9\u4e9b\u5408\u6210\u6570\u636e\u63d0\u4f9b\u4e86\u4e00\u4e2a\u53ef\u63a7\u7684\u73af\u5883\u7528\u4e8e\u6d4b\u8bd5\u6a21\u578b\u7684\u89c6\u89c9\u63a8\u7406\u80fd\u529b\uff0c\u5e76\u4e14\u53ef\u4ee5\u53bb\u65e0\u9650\u751f\u6210\u4e00\u4e2a\u865a\u62df\u6837\u672c\uff1b\u7b2c\u4e09\u4e2a\u4e5f\u5c31\u662f\u5e38\u7528\u7684\u6587\u672c\u6e32\u67d3\u6570\u636e\uff0c\u901a\u8fc7\u5c06\u6587\u672c\u5185\u5bb9\u8f6c\u5316\u4e3a\u89c6\u89c9\u683c\u5f0f\u6765\u4ece\u800c\u4fdd\u8bc1\u6a21\u578b\u80fd\u591f\u5728\u4e0d\u540c\u6a21\u6001\u4e0b\u4fdd\u6301\u4e00\u81f4\u7684\u6587\u672c\u5904\u7406\u7684\u80fd\u529b\uff0c\u5176\u5b9e\u5c31\u662f\u5c06\u6bd4\u5982\u8bf4\u4e00\u4e9b OCR \u7684\u6280\u5de7\u5c06\u8fd9\u4e2a\u6587\u672c\u7684\u6587\u6863\u548c\u4ee3\u7801\u7684\u7247\u6bb5\u8f6c\u5316\u4e3a\u56fe\u50cf\uff0c\u6765\u786e\u4fdd\u6a21\u578b\u65e0\u8bba\u63a5\u53d7\u7684\u662f\u7eaf\u6587\u672c\u8f93\u5165\uff0c\u8fd8\u662f\u622a\u56fe\u6216\u8005\u7167\u7247\u4e2d\u7684\u6587\u672c\uff0c\u90fd\u80fd\u591f\u63d0\u4f9b\u4e00\u81f4\u7684 Response\u3002<\/section>\n<section><\/section>\n<section>K1.5 \u8fd8\u5c55\u73b0\u51fa\u6765\u4e00\u4e2a\u6bd4\u8f83\u4f18\u79c0\u7684\u65b9\u6cd5\uff0c\u4e5f\u5c31\u662f long2short \u957f\u5230\u77ed\u7684\u84b8\u998f\u3002\u5b83\u5176\u5b9e\u80cc\u540e\u60f3\u8981\u89e3\u51b3\u7684\u5176\u5b9e\u662f\u6a21\u578b\u7684\u4e00\u4e2a\u8fc7\u5ea6\u601d\u8003\uff0c\u4ee5\u53ca\u6211\u4eec\u80fd\u4e0d\u80fd\u91c7\u7528\u8fdb\u884c\u7b97\u529b\u7684\u63a7\u5236\u3002\u4e5f\u5c31\u662f\u901a\u8fc7\u91c7\u7528\u66f4\u77ed\u7684\u601d\u7ef4\u94fe\u8fbe\u5230\u548c\u957f\u601d\u7ef4\u94fe\u76f8\u540c\u7684\u6548\u679c\u3002\u5176\u5b9e Kimi \u63a2\u7a76\u4e86\u8fd9\u4e48\u51e0\u4e2a\u65b9\u6cd5\uff1a\u9996\u5148\u662f\u6a21\u578b\u7684\u878d\u5408\uff0c\u6bd4\u5982\u8bf4\u5c06\u957f\u6587\u672c\u7684\u601d\u7ef4\u94fe\u6a21\u578b\u548c\u77ed\u6587\u672c\u601d\u7ef4\u94fe\u6a21\u578b\u7684\u6743\u91cd\u8fdb\u884c\u5e73\u5747\uff0c\u4ece\u800c\u5f97\u5230\u4e00\u4e2a\u65b0\u7684\u6a21\u578b\uff1b\u7b2c\u4e8c\u4e2a\u662f\u6700\u77ed\u62d2\u7edd\u91c7\u6837\uff0c\u4e5f\u5c31\u662f\u5728\u591a\u4e2a\u91c7\u6837\u4e2d\u9009\u62e9\u4e00\u4e2a\u6700\u77ed\u5e76\u4e14\u7b54\u6848\u6700\u6b63\u786e\u7684\u7b54\u6848\u7136\u540e\u53bb\u505a\u76d1\u7763\u5fae\u8c03\uff0c\u5176\u6b21\u662f\u91c7\u7528\u50cf DPO \u7b49\u6280\u672f\u6765\u4f7f\u7528\u957f\u6587\u672c cot \u6a21\u578b\u751f\u6210\u7684\u7b54\u6848\u6765\u4f5c\u4e3a\u504f\u597d\u6570\u636e\u6765\u8bad\u7ec3\u77ed\u6587\u672c cot \u7684\u6a21\u578b\uff0c\u5728\u6807\u51c6\u7684 RL \u8bad\u7ec3\u8fc7\u7a0b\u4e2d\uff0c\u5176\u5b9e\u53ef\u4ee5\u7c7b\u4f3c\u4e8e\u524d\u4e00\u6b65\u6211\u4eec\u91c7\u7528\u7684\u957f\u5ea6\u60e9\u7f5a\u9879\u6765\u8fdb\u884c\u5fae\u8c03\uff0c\u4ece\u800c\u8fdb\u4e00\u6b65\u7684\u53bb\u63d0\u9ad8\u77ed\u6587\u672c CoT \u6a21\u578b\u7684\u6548\u7387\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-e7b4f21937a9f97a49b489e380d84249.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-e7b4f21937a9f97a49b489e380d84249.png\"><\/a><\/section>\n<section>\u5728\u8fd9\u91cc\u5176\u5b9e\u6211\u4eec\u5bf9\u6bd4\u4e00\u4e0b Kimi K1.5 \u548c DeepSeek R1 \u7684\u4e00\u4e9b\u6280\u672f\uff0c\u6211\u4eec\u5176\u5b9e\u80fd\u591f\u53d1\u73b0\u4e00\u4e9b\u5171\u901a\u4e4b\u5904\u548c\u4e00\u4e9b Takeaways\u3002\u9996\u5148\u4e8c\u8005\u90fd\u5173\u6ce8\u4e86 RL \u7684\uff0c\u4e5f\u5c31\u662f\u5f3a\u5316\u5b66\u4e60\u7684\u65b9\u6cd5\u5e26\u6765\u7684\u63d0\u5347\uff0cMCTS \u548c PRM \u5176\u5b9e\u662f\u90fd\u6ca1\u6709\u88ab\u4f7f\u7528\u7684\uff0c\u5305\u62ec\u6211\u4eec\u4e4b\u524d\u7684\u4e00\u4e2a\u63a8\u6d4b\u4ee5\u53ca\u793e\u533a\u7684\u5f88\u591a\u590d\u73b0\u8fc7\u7a0b\u4e2d\u5176\u5b9e\u90fd\u5173\u6ce8\u4e86 MCTS \u548c\u8fc7\u7a0b\u76d1\u7763\u6a21\u578b\uff0c\u4f46\u662f\u5b83\u4eec\u6ca1\u6709\u88ab\u663e\u5f0f\u7684\u4f7f\u7528\u3002\u5176\u5b9e\u80cc\u540e\u662f\u6709\u7740\u5956\u52b1\u653b\u9677\u7684\u8003\u8651\u7684\uff0c\u4e4b\u6240\u4ee5\u76f4\u63a5\u7528\u7eaf RL\uff0c\u5176\u5b9e\u80cc\u540e\u7684\u8003\u91cf\u662f\u5bf9\u4e8e\u6a21\u578b\u601d\u8003\u80fd\u529b\u7684 structure\uff0c\u4e5f\u5c31\u662f\u5176\u5b9e\u8fd9\u4e2a structure \u76f8\u5f53\u4e8e\u662f\u4eba\u7c7b\u7684\u4e00\u4e2a\u5148\u9a8c\uff0c\u5176\u5b9e\u6211\u4eec\u53ef\u4ee5\u8ba4\u4e3a MCTS \u5b83\u662f\u4e00\u79cd structure\uff0cA * \u5b83\u4e5f\u662f\u4e00\u79cd structure\uff0c\u4eba\u4e3a\u7684\u52a0\u5165 inductive bias \u53bb\u5f3a\u6c42\u8bed\u8a00\u6a21\u578b\u6309\u7167\u7ed3\u6784\u5316\u7684\u5148\u9a8c\u53bb\u8fdb\u884c\u601d\u8003\uff0c\u5b83\u5176\u5b9e\u662f\u53ef\u80fd\u4f1a\u9650\u5236\u6a21\u578b\u7684\u80fd\u529b\u7684\u3002\u90a3\u4e48\u540e\u7eed\u6211\u4eec\u4e5f\u4f1a\u8fdb\u4e00\u6b65\u8bb2\u89e3\u8fd9\u4e2a\u95ee\u9898\u3002<\/section>\n<section><\/section>\n<section>\u7b2c\u4e8c\u70b9\u662f\u8fc7\u7a0b\u7684\u7ed3\u679c\u5956\u52b1\u6a21\u578b\uff0c\u5b83\u5176\u5b9e\u5f88\u5bb9\u6613\u88ab\u5956\u52b1\u653b\u9677\uff0c\u5e76\u4e14\u7edd\u5bf9\u503c\u7684 value \u662f\u5f88\u96be\u51c6\u786e\u7684\u53bb\u4f30\u8ba1\u5956\u52b1\u7684\uff0c\u4e0e\u6b64\u540c\u65f6\u6211\u4eec\u5176\u5b9e\u4f1a\u6709\u4e24\u79cd\u65b9\u6cd5\uff1a\u7b2c\u4e00\u4e2a\u6bd4\u5982\u8bf4\u867d\u7136\u6211\u4eec\u7edd\u5bf9\u503c\u7684 value \u5f88\u96be\u51c6\u786e\u7684\u4f30\u8ba1\uff0c\u4f46\u6211\u4eec\u53ef\u4ee5\u7528\u5b83\u53bb\u6784\u5efa\u4e00\u4e2a\u504f\u5e8f\u7684\u6570\u636e\u96c6\uff1b\u7b2c\u4e8c\u5c31\u662f\u6211\u4eec\u76f4\u63a5\u4e0d\u7528\u8fc7\u7a0b\u5956\u52b1\u6a21\u578b\uff0cKimi K1.5 \u5176\u5b9e\u66f4\u591a\u662f\u4ece In-context RL \u51fa\u53d1\u662f\u5e0c\u671b\u6a21\u578b\u53bb\u6a21\u62df planning \u7684\u8fc7\u7a0b\uff0c\u800c\u4e0d\u662f\u53bb\u663e\u5f0f\u7684\u8fdb\u884c planning\uff0c\u5176\u4e2d\u5c31\u662f\u5c06 state \u548c\u4ef7\u503c\u7b49\u4fe1\u606f\u90fd\u89c6\u4e3a\u4e00\u4e2a language tokens\uff1b\u800c DeepSeek R1 \u662f\u4ece\u7eaf\u5f3a\u5316\u5b66\u4e60\u7684\u89d2\u5ea6\u51fa\u53d1\uff0c\u901a\u8fc7\u5927\u89c4\u6a21\u7684\u5f3a\u5316\u5b66\u4e60\u548c rule-based reward \u6765\u6fc0\u6d3b\u6a21\u578b\u7684\u80fd\u529b\uff0c\u5176\u4e2d<strong>\u6838\u5fc3\u7684\u89c2\u5ff5\u90fd\u662f\u4e0d\u7ba1\u6a21\u578b\u4e2d\u95f4\u505a\u9519\u4e86\u4ec0\u4e48\uff0c\u5b83\u53ea\u8981\u4e0d\u662f\u91cd\u590d\u7684 pattern\uff0c\u53ea\u8981\u6a21\u578b\u6700\u540e\u505a\u5bf9\u4e86\uff0c\u6211\u4eec\u5c31\u8ba4\u4e3a\u8fd9\u662f\u4e00\u4e2a\u597d\u7684\u63a2\u7d22\uff0c\u5b83\u662f\u503c\u5f97\u9f13\u52b1\u7684\uff1b\u53cd\u4e4b\u5982\u679c\u6a21\u578b\u4e00\u987f\u63a2\u7d22\u6700\u540e\u505a\u9519\u4e86\uff0c\u90a3\u4e48\u518d\u52aa\u529b\u4e5f\u662f\u9519\uff0c\u8fd9\u662f\u9700\u8981\u53bb\u8fdb\u884c\u60e9\u7f5a\u7684<\/strong>\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-30923f37ffb265b2b0410b81b1810423.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-30923f37ffb265b2b0410b81b1810423.png\"><\/a><\/section>\n<section>\u5173\u952e\u7684\u4e5f\u5c31\u662f\u5f3a\u5316\u5b66\u4e60\u7b97\u6cd5\u7684\u5bf9\u6bd4\uff0c\u5176\u5b9e DeepSeek R1 \u91c7\u7528\u7684\u662f GRPO\uff0cGRPO \u662f\u901a\u8fc7\u7fa4\u7ec4\u76f8\u5bf9\u65b9\u5f0f\u53bb\u8ba1\u7b97\u4f18\u52bf\u503c\uff0c\u7136\u540e\u5b83\u548c\u5956\u52b1\u6a21\u578b\u57fa\u4e8e\u540c\u4e00\u95ee\u9898\u7684\u8f93\u51fa\u5b83\u662f\u5929\u7136\u5951\u5408\u7684\uff0c\u800c GRPO \u5b83\u989d\u5916\u7684\u8fdb\u884c\u4e86\u7b56\u7565\u51fd\u6570\u7684\u4f18\u5316\uff0c\u6bd4\u5982\u8bf4\u5176\u5b9e\u6211\u4eec\u53ef\u4ee5\u56de\u5230\u524d\u9762\u8fd9\u4e00\u9875\uff0c\u6211\u4eec\u53ef\u4ee5\u770b\u5230\u5176\u5b9e\u4f20\u7edf\u7684\u6211\u4eec\u662f\u4f1a\u628a KL \u6563\u5ea6\u7684\u60e9\u7f5a\u52a0\u5230 reward \u91cc\u8fb9\uff0c\u7136\u540e\u8ba1\u7b97\u4f18\u52bf\u503c\uff0c\u4f46\u662f\u5728 GRPO \u91cc\u8fb9\uff0c\u6211\u4eec\u53ef\u4ee5\u76f4\u63a5\u628a\u60e9\u7f5a\u9879\u878d\u5165\u5230\u8fd9\u4e2a\u76ee\u6807\u51fd\u6570\u8ba1\u7b97\u91cc\u8fb9\uff0c\u7b80\u5316\u8ba1\u7b97\u7684\u96be\u5ea6\u548c\u7b97\u529b\u7684\u635f\u8017\uff0c\u4f7f\u5f97\u8fd9 GRPO \u5b83\u5176\u5b9e\u5728\u5927\u89c4\u6a21\u7684\u5f3a\u5316\u5b66\u4e60\u8bad\u7ec3\u4efb\u52a1\u4e2d\uff0c\u80fd\u591f\u66f4\u6709\u6548\u7684\u53bb\u4f18\u5316\u7b56\u7565\u6a21\u578b\uff0c\u7136\u540e\u8fdb\u800c\u53bb\u63d0\u9ad8\u5b83\u7684\u8ba1\u7b97\u6548\u7387\u3002<\/section>\n<section><\/section>\n<section>Kim K1.5 \u5176\u5b9e\u5b83\u91c7\u7528\u4e86\u4e00\u79cd\u53d8\u79cd Mirror Descent\uff0c\u5b83\u53ef\u4ee5\u4fdd\u8bc1\u5b66\u4e60\u7684\u7a33\u5b9a\u6027\uff0c\u5176\u5b9e\u672c\u8d28\u4e0a\u4e5f\u662f\u5c5e\u4e8e REINFORCE \u7cfb\u5217\u7b97\u6cd5\u7684\u4e00\u79cd\uff0c\u53ef\u4ee5\u4fc3\u8fdb\u6a21\u578b\u53bb\u63a2\u7d22\u5230\u9a8c\u8bc1\u56de\u6eaf\u603b\u7ed3\u7684\u53cd\u601d\u7684\u884c\u4e3a\u65b9\u5f0f\u3002\u7b2c\u4e8c\u4e2a\u5173\u952e\u70b9\u662f\u540e\u8bad\u7ec3\u7684 Pipeline \u5176\u5b9e\u5bf9\u4e8e\u63d0\u5347\u6a21\u578b\u7684\u63a8\u7406\u80fd\u529b\u91cd\u8981\u6027\u90fd\u662f\u4e0d\u53ef\u5ffd\u89c6\u7684\uff0c\u4e00\u65b9\u9762\u662f\u968f\u7740\u6d4b\u8bd5\u9636\u6bb5\u7b97\u529b\u548c\u8bad\u7ec3\u9636\u6bb5\u7b97\u529b\u7684\u589e\u52a0\uff0c\u6839\u636e\u540e\u8bad\u7ec3\u6269\u5c55\u5f8b\u6a21\u578b\u7684\u8868\u73b0\u662f\u4f1a\u88ab\u6301\u7eed\u6539\u5584\u7684\uff0c\u53e6\u4e00\u65b9\u9762\u662f\u7406\u60f3\u7684\u6570\u636e\u6784\u5efa\u5e94\u8be5\u6db5\u76d6\u8db3\u591f\u5e7f\u6cdb\u7684\u7c7b\u522b\u5e76\u4e14\u96be\u5ea6\u5206\u7ea7\u660e\u786e\uff0c\u8fd9\u6837\u6709\u5229\u4e8e\u5b9e\u73b0\u7c7b\u4f3c\u4e8e\u8bfe\u7a0b\u5b66\u4e60\u7684\u6548\u679c\uff0c\u4ece\u800c\u9010\u6b65\u63d0\u5347\u6a21\u578b\u7684\u80fd\u529b\u3002\u6700\u540e\u4e00\u4e2a takeaways \u662f\u8bf4\u5728\u5956\u52b1\u5efa\u6a21\u7684\u8fc7\u7a0b\u4e2d\uff0c\u5176\u5b9e\u6211\u4eec\u9700\u8981\u786e\u4fdd\u5982\u679c\u4f60\u7684\u5956\u52b1\u673a\u5236\u662f\u57fa\u4e8e\u5956\u52b1\u6a21\u578b\u7684\u8bdd\uff0c\u90a3\u4e48\u5c31\u8981\u9632\u6b62\u5b83\u7684\u5956\u52b1\u653b\u9677\uff0c\u6bd4\u5982\u8bf4\u8fd8\u9700\u8981\u53bb\u8fdb\u884c\u4e00\u4e2a\u5e73\u8861\u7684\u63a8\u7406\u957f\u5ea6\u548c\u63a8\u7406\u6b63\u786e\u7387\u4e4b\u95f4\u7684\u4e00\u4e2a\u5173\u7cfb\uff0c\u6bd4\u5982\u5bf9\u4e8e\u540c\u4e00\u4e2a\u5e8f\u5217\u5b83\u7684\u4e0b\u4e00\u4e2a\u52a8\u4f5c\u53ef\u80fd\u5b58\u5728\u4e00\u4e2a\u9519\u8bef\u7b54\u6848\uff0c\u4e5f\u5b58\u5728\u4e00\u4e2a\u76f4\u63a5\u5f15\u5165\u5230\u6b63\u786e\u7b54\u6848\u7684\u60c5\u51b5\uff0c\u90a3\u4e48\u4f20\u7edf\u7684\u5f3a\u5316\u5b66\u4e60\u7684\u65b9\u6cd5\u7684 Credit Assignment \u7684\u95ee\u9898\u4f1a\u503e\u5411\u4e8e\u53bb\u63d0\u5347\u9009\u62e9\u6b63\u786e\u7b54\u6848\u7684\u6982\u7387\uff0c\u540c\u65f6\u964d\u4f4e\u53bb\u9009\u62e9\u9519\u8bef\u7b54\u6848\u7684\u6982\u7387\uff0c\u7136\u800c\u4ece\u63a8\u7406\u957f\u5ea6\u7684\u89d2\u5ea6\u6765\u8bf4\uff0c\u6709\u65f6\u5c31\u9009\u62e9\u770b\u4f3c\u9519\u8bef\u7684\u7b54\u6848\uff0c\u53ef\u80fd\u4f1a\u5f15\u5bfc\u6a21\u578b\u8fdb\u884c\u4e00\u4e2a\u81ea\u6211\u4fee\u6b63\u7684\u8fc7\u7a0b\u3002\u8fd9\u79cd\u81ea\u6211\u4fee\u6b63\u7684\u673a\u5236\uff0c\u4ee5\u53ca\u66f4\u957f\u7684\u63a8\u7406\u8def\u5f84\uff0c\u540c\u6837\u5bf9\u4e8e\u63d0\u5347\u6a21\u578b\u7684\u6574\u4f53\u63a8\u7406\u80fd\u529b\uff0c\u662f\u81f3\u5173\u91cd\u8981\u7684\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-a0776d58036e1e97f1a147c0bbfd717f.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-a0776d58036e1e97f1a147c0bbfd717f.png\"><\/a><\/section>\n<section><strong>\u7b2c\u4e8c\u4e2a\u6211\u4eec\u5e0c\u671b\u5bf9\u6bd4\u7684\u6280\u672f\u8ba8\u8bba\u662f\u901a\u8fc7\u7eaf\u5f3a\u5316\u5b66\u4e60\u548c STaR-base \u7684\u4e00\u4e9b\u65b9\u6cd5\u7684\u5bf9\u6bd4<\/strong>\u3002\u5728\u8fd9\u91cc\u6211\u4eec\u5148\u56de\u987e\u4e00\u4e0b STaR \u7684\u65b9\u6cd5\uff0cSTaR \u65b9\u6cd5\u6838\u5fc3\u662f\u8bf4\u6211\u4eec\u6709\u4e00\u4e9b\u95ee\u9898\u548c\u7b54\u6848\u7684\u95ee\u9898\uff0c\u6211\u4eec\u5e0c\u671b\u80fd\u591f\u8ba9\u6a21\u578b\u81ea\u5df1\u751f\u6210\u95ee\u9898\u662f\u5982\u4f55\u5bfc\u5411\u7b54\u6848\u7684\u63a8\u7406\u8fc7\u7a0b\uff0c\u5e76\u4e14\u5c06\u8fd9\u4e9b\u63a8\u7406\u8fc7\u7a0b\u52a0\u5165\u5230\u6a21\u578b\u7684\u76d1\u7763\u5fae\u8c03\u7684\u6570\u636e\u96c6\u4e2d\uff0c\u4ece\u800c\u6bcf\u6b21\u83b7\u5f97\u4e00\u4e2a\u65b0\u7684\u6570\u636e\u96c6\uff0c\u90fd\u4ece\u4e00\u4e2a\u539f\u59cb\u7684\u6a21\u578b\u6765\u5f00\u59cb\u8fdb\u884c\u5fae\u8c03\u4e0d\u65ad\u7684\u53bb\u6fc0\u53d1\u6a21\u578b\u81ea\u5df1\u4ea7\u751f Rationales \u5c31\u662f\u601d\u8003\u8fc7\u7a0b\u7684\u80fd\u529b\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-9f8f15b7539fa260c2785da0dd9b781b.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-9f8f15b7539fa260c2785da0dd9b781b.png\"><\/a><\/section>\n<section>STaR \u548c RL \u4e4b\u95f4\u5176\u5b9e\u662f\u6709\u7740\u7d27\u5bc6\u8054\u7cfb\u7684\uff0c\u6bd4\u5982\u8bf4\u53bb\u91c7\u6837\u4e00\u4e2a\u6f5c\u5728\u7684\u63a8\u7406\u8def\u5f84\uff0c\u5b83\u5176\u5b9e\u662f\u7c7b\u4f3c\u4e8e\u901a\u8fc7\u5f3a\u5316\u5b66\u4e60\u8fdb\u884c\u4e00\u4e2a\u7b56\u7565\u9009\u62e9\u7684\u52a8\u4f5c\uff0c\u7136\u540e\u5c31\u9009\u62e9\u4e00\u4e2a\u53ef\u80fd\u7684\u7b56\u7565\u8def\u5f84\uff0c\u5bf9\u4e8e\u8ba1\u7b97\u76ee\u6807\u51fd\u6570\u5176\u5b9e\u5bf9\u4e8e\u6a21\u578b\u5bf9\u4e8e\u6574\u4e2a\u6570\u636e\u96c6\u7684\u9884\u6d4b\u7ed3\u679c\u8fdb\u884c\u8bc4\u4f30\uff0c\u5e76\u4e14\u53ea\u6839\u636e\u9884\u6d4b\u7684\u6b63\u786e\u7684\u6837\u672c\u66f4\u65b0\u6a21\u578b\u3002\u5b83\u5176\u5b9e\u662f\u548c\u4f20\u7edf\u5f3a\u5316\u5b66\u4e60\u4e2d\u4e00\u4e2a\u68af\u5ea6\u7684\u66f4\u65b0\uff0c\u5176\u5b9e\u662f\u7c7b\u4f3c\u7684\uff0c\u4e5f\u5c31\u662f\u901a\u8fc7\u591a\u6b21\u7684\u8c03\u6574\u540c\u4e00\u6279\u7684\u6570\u636e\u6765\u7a33\u5b9a\u5b66\u4e60\u8fc7\u7a0b\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-d2ba9800c9405738e7511e0df40b22b9.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-d2ba9800c9405738e7511e0df40b22b9.png\"><\/a><\/section>\n<section>\u5173\u4e8e\u5f3a\u5316\u5b66\u4e60\u548c STaR \u65b9\u6cd5\u7684\u5bf9\u6bd4\uff0c\u5176\u5b9e STaR \u7684\u6838\u5fc3\u601d\u8def\u662f\u5e0c\u671b\u5c06\u601d\u8003\u8fc7\u7a0b\u5efa\u6a21\u5230\u8bed\u8a00\u7684 next token prediction \u4e2d\uff0c\u5b83\u8fd9\u4e2a\u8fc7\u7a0b\u662f\u901a\u8fc7\u53cd\u590d\u7684\u81ea\u6211\u8fed\u4ee3\u548c\u76d1\u7763\u5fae\u8c03\u5b9e\u73b0\u7684\u3002\u57fa\u4e8e STaR \u7684\u65b9\u6cd5\u53ef\u4ee5\u8fdb\u4e00\u6b65\u5c06\u8fd9\u79cd\u601d\u8def\u6269\u5c55\u5230\u6bd4\u5982\u601d\u8003\u8fc7\u7a0b\u5176\u5b9e\u4e5f\u53ef\u4ee5\u662f\u641c\u7d22\u8fc7\u7a0b\uff0c\u90a3\u4e5f\u5c31\u662f planning \u76f4\u63a5\u53bb\u5efa\u6a21\u8bed\u8a00\u6a21\u578b\u7684 next token prediction\uff0c\u6bd4\u5982\u8bf4 rStar-math \u4ee5\u53ca stream-of-search \u751a\u81f3 Kimi K1.5 \u7684\u6838\u5fc3\u601d\u8def\u90fd\u662f\u8fd9\u6837\u7684\u3002<\/section>\n<section><\/section>\n<section>\u672c\u8d28\u4e0a STaR \u4e00\u7c7b\u7684\u65b9\u6cd5\u662f\u5e0c\u671b\u6a21\u578b\u80fd\u591f\u5b66\u4e60\u5230 MetaCoT \u53ca\u95ee\u9898\u7684\u7b54\u6848\u6620\u5c04\u8fc7\u7a0b\u80cc\u540e\u7684\u4e00\u4e2a\u6df1\u5165\u7684\u89c4\u5f8b\uff0c\u6bd4\u5982\u8bf4\u5bf9\u4e8e\u4e3a\u4ec0\u4e48 1+1=2\uff0c\u5176\u80cc\u540e\u53ef\u80fd\u662f\u8bf4\u4e00\u4e2a\u52a0\u6cd5\u7684\u89c4\u5f8b\uff0c\u6211\u4eec\u662f\u5e0c\u671b 1+1=2 \u80cc\u540e\u7684\u52a0\u6cd5\u7684\u8fd0\u7b97\u5f8b\uff0c\u5b83\u662f\u80fd\u591f\u4f5c\u4e3a\u4e00\u4e2a\u9690\u5f0f\u7684\u601d\u8003\u8fc7\u7a0b\u6216\u8005\u9690\u5f0f\u7684\u5408\u7406\u8fc7\u7a0b\u88ab\u6a21\u578b\u5b66\u4e60\u5230\u53c2\u6570\u4e4b\u4e2d\u7684\uff0c\u4f46\u5176\u5b9e\u5b83\u5bf9\u4e8e\u95ee\u9898\u7684\u7ed3\u6784\u8981\u6c42\u4f1a\u6bd4\u8f83\u9ad8\uff0c\u5bf9\u4e8e\u590d\u6742\u6570\u5b66\u7684\u63a8\u7406\u4efb\u52a1\uff0c\u5b83\u662f\u53ef\u80fd\u96be\u4ee5\u81ea\u6211\u8fed\u4ee3\u7684\u3002\u56e0\u4e3a\u67d0\u4e9b\u53ef\u80fd\u6839\u672c\u6ca1\u6709\u529e\u6cd5\u53bb\u751f\u6210\u4e00\u4e2a\u597d\u7684\u63a8\u7406\u8fc7\u7a0b\uff0c\u5e76\u4e14\u96be\u4ee5\u878d\u5165\u4e00\u4e2a Rule-based \u57fa\u4e8e\u89c4\u5219\u7684\u8fd9\u4e48\u4e00\u4e2a\u5956\u52b1\u6765\u8fdb\u884c\u5f3a\u5316\u5b66\u4e60\u7684\u4f18\u5316\uff1b\u7b2c\u4e8c\u5c31\u662f\u5728\u7eaf\u5f3a\u5316\u5b66\u4e60\u7684\u52a0\u6301\u4e0b\uff0c\u5176\u5b9e\u4e1a\u754c\u7684\u6280\u672f\u5b9e\u8df5\u5b83\u66f4\u591a\u7684\u53bb\u5173\u6ce8\u4e8e\u76f4\u63a5\u5229\u7528\u5f3a\u5316\u5b66\u4e60\u53bb\u6fc0\u6d3b\u57fa\u5ea7\u6a21\u578b\u7684\u63a8\u7406\u6f5c\u529b\uff0c\u901a\u8fc7\u6784\u5efa Rule-based Reward \u4e5f\u5c31\u662f\u57fa\u4e8e\u89c4\u5219\u7684\u5956\u52b1\uff0c\u52a0\u4e0a\u5f3a\u5316\u5b66\u4e60\u6570\u636e\u7684\u8bbe\u8ba1\u6765\u53bb\u6fc0\u6d3b\u6a21\u578b\u5185\u90e8\u672c\u8eab\u7684\u80fd\u529b\u76f8\u5173\u7684\u4e00\u4e9b\u5956\u52b1\u6a21\u578b\u7684\u5c1d\u8bd5\uff0c\u6bd4\u5982\u8bf4 PRM \u5b83\u5176\u5b9e\u4f1a\u9047\u5230\u50cf\u5956\u52b1\u653b\u9677\uff0c\u4ee5\u53ca\u4f30\u8ba1\u7684\u4ef7\u503c\u4e0d\u51c6\u3001\u96be\u4ee5\u6cdb\u5316\u7b49\u95ee\u9898\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-355a1a0010ea7e9ae36de4c2e34caa73.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-355a1a0010ea7e9ae36de4c2e34caa73.png\"><\/a><\/section>\n<section>\u7b2c\u4e09\u4e2a\u6211\u4eec\u5e0c\u671b\u8ba8\u8bba\u7684\u662f<strong>\u84b8\u998f\u548c\u5f3a\u5316\u5b66\u4e60\u4e4b\u95f4\u7684\u5bf9\u6bd4<\/strong>\u3002\u4e00\u65b9\u9762\u8fd9\u4e9b\u5bf9\u6bd4\u6765\u81ea\u4e8e\u6211\u4eec\u50cf DeepSeek R1 \u4e2d\u63ed\u793a\u7684\u80fd\u4e0d\u80fd\u5c06\u4e00\u4e9b\u66f4\u5f3a\u5927\u7684\u63a8\u7406\u80fd\u529b\u7684\u6a21\u578b\uff0c\u5b83\u7684\u9ad8\u9636\u63a8\u7406\u8303\u5f0f\u84b8\u998f\u5230\u5c0f\u6a21\u578b\u4e2d\uff1b\u53e6\u4e00\u65b9\u9762\u662f\u6211\u4eec\u80fd\u4e0d\u80fd\u5229\u7528\u84b8\u998f\u540e\u7684\u6a21\u578b\u6765\u8fdb\u884c\u8bad\u7ec3\uff0c\u4ece\u800c\u8d85\u8fc7\u4f20\u7edf\u5f3a\u5316\u5b66\u4e60\u7684\u8fb9\u754c\u3002\u5176\u5b9e\u80cc\u540e\u7684\u8003\u8651\u662f\u8bf4\u5176\u5b9e\u5927\u578b\u6a21\u578b\uff0c\u5b83\u867d\u7136\u6027\u80fd\u5f3a\u5927\uff0c\u4f46\u662f\u4e5f\u5b58\u5728\u7740\u4e00\u4e9b\u5c40\u9650\u6027\uff0c\u6bd4\u5982\u8ba1\u7b97\u8d44\u6e90\u6d88\u8017\u8fc7\u9ad8\u3001\u90e8\u7f72\u548c\u4f7f\u7528\u95e8\u69db\u8f83\u9ad8\u7b49\u3002\u6a21\u578b\u84b8\u998f\u7684\u6838\u5fc3\u601d\u7ef4\u5c31\u662f\u5c06\u4e00\u4e2a\u7ecf\u9a8c\u4e30\u5bcc\u7684\u8001\u5e08\u7684\u77e5\u8bc6\u4f20\u9012\u7ed9\u4e00\u4e2a\u5e74\u8f7b\u7684\u5b66\u751f\uff0c\u4ece\u800c\u5c06\u8ba9\u5176\u5728\u4e00\u4e2a\u8f83\u77ed\u7684\u65f6\u95f4\u5185\u53bb\u638c\u63e1\u590d\u6742\u6280\u80fd\u3002<\/section>\n<section><\/section>\n<section>DeepSeek R1 Report \u4e2d\u5176\u5b9e\u63ed\u793a\u4e86\u6211\u4eec\u901a\u8fc7\u84b8\u998f R1 \u7684\u624b\u6bb5\uff0c\u53ef\u4ee5\u83b7\u5f97\u4e00\u7cfb\u5217\u7a81\u51fa\u8868\u73b0\u7684\u5c0f\u6a21\u578b\uff0c\u5176\u5b9e\u8fd9\u5f88\u5927\u7a0b\u5ea6\u4e0a\u662f\u5f97\u76ca\u4e8e R1 \u7684\u6a21\u578b\u5b83\u662f\u8db3\u591f\u5f3a\u5927\u7684\uff0c\u56e0\u4e3a\u5b83\u6709\u5f88\u591a\u9ad8\u7ea7\u7684\u63a8\u7406\u65b9\u5f0f\uff0c\u800c\u9ad8\u6548\u63a8\u7406\u65b9\u5f0f\u662f\u5c0f\u6a21\u578b\u5229\u7528\u5927\u89c4\u6a21\u7684\u5f3a\u5316\u5b66\u4e60\u53ef\u80fd\u662f\u96be\u4ee5\u53d1\u73b0\u7684\u3002\u8fd9\u96be\u4ee5\u53d1\u73b0\u7684\u539f\u56e0\u53ef\u80fd\u662f\u7531\u4e8e\u8bad\u7ec3\u77e5\u8bc6\u7684\u4e0d\u8db3\uff0c\u5f88\u96be\u53bb\u8fdb\u884c\u4e00\u4e9b\u6709\u6548\u62d3\u5c55\uff0c\u6bd4\u5982\u8bf4\u540c\u6837\u662f\u4e0b\u56f4\u68cb\uff0c\u5176\u5b9e\u4eba\u7c7b\u5927\u5e08\u89c1\u8fc7\u4e86\u66f4\u591a\u7684\u68cb\u8c31\uff0c\u4ed6\u8981\u77e5\u9053\u4e0b\u4e00\u6b65\u53ef\u80fd\u4e0b\u4e2a\u5728\u67d0\u4e2a\u4f4d\u7f6e\uff0c\u5b83\u53ef\u80fd\u76f8\u5bf9\u7684\u4ef7\u503c\u66f4\u9ad8\uff0c\u800c\u4eba\u7c7b\u5c0f\u767d\u5176\u5b9e\u6ca1\u6709\u529e\u6cd5\u53bb\u8fa8\u522b\u4e0d\u540c\u7684\u4f4d\u7f6e\uff0c\u5b83\u7684\u4ef7\u503c\u662f\u5426\u6709\u4e0d\u540c\uff0c\u5176\u5b9e\u83b7\u5f97\u63a8\u7406\u65b9\u5f0f\u4e5f\u5c31\u662f\u6709\u5dee\u522b\u7684\uff0c\u8fd9\u4e9b\u7684\u8bdd\u5c0f\u6a21\u578b\u8868\u73b0\u4f1a\u76f8\u5bf9\u6bd4\u8f83\u7a81\u51fa\uff0c\u751a\u81f3\u8d85\u8fc7\u4e86\u57fa\u4e8e\u5927\u89c4\u6a21\u5f3a\u5316\u5b66\u4e60\u7684\u65b9\u6cd5\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-976f4955321eb7bce586e628ba68fade.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-976f4955321eb7bce586e628ba68fade.png\"><\/a><\/section>\n<section>\u90a3\u5728\u63d0\u5347\u6a21\u578b\u7684\u63a8\u7406\u80fd\u529b\u7684\u52aa\u529b\u4e0a\uff0c\u5176\u5b9e\u84b8\u998f\u548c\u5f3a\u5316\u5b66\u4e60\u4e5f\u88ab\u793e\u533a\u5e7f\u6cdb\u63a2\u7d22\uff0c\u6bd4\u5982\u8bf4\u76f4\u63a5\u5229\u7528\u76d1\u7763\u5fae\u8c03\u53bb\u84b8\u998f\uff0c\u5176\u5b9e\u53ef\u4ee5\u5b66\u5230\u6570\u636e\u80cc\u540e\u7684\u63a8\u7406\u65b9\u5f0f\u3002\u4f46\u662f\u5b83\u867d\u7136\u5728\u63a8\u7406\u5206\u6570\u4e0a\u6709\u8868\u73b0\u6240\u63d0\u5347\uff0c\u4f46\u5b83\u66f4\u591a\u662f\u53bb\u62df\u5408\u6570\u636e\u4e2d\u7684 Pattern\uff0c\u5f88\u96be\u5b66\u4e60\u6570\u636e\u80cc\u540e\u7684\u6570\u5b66\u89c4\u5f8b\u548c\u6211\u4eec\u6240\u8bf4\u7684\u4e00\u4e2a MetaCoT \u7684\u8fc7\u7a0b\uff0c\u800c\u5f3a\u5316\u5b66\u4e60\u662f\u901a\u8fc7\u8bd5\u9519\u548c\u5c1d\u8bd5\u6765\u9f13\u52b1\u6a21\u578b\u5728\u6700\u5927\u5316\u5956\u52b1\u8fc7\u7a0b\u4e2d\u53bb\u5b66\u4e60\u5230\u63a8\u7406\u80cc\u540e\u7684\u89c4\u5f8b\uff0c\u83b7\u5f97\u7684\u6cdb\u5316\u6027\u548c\u63a8\u7406\u8868\u73b0\u7684\u4e0a\u754c\u90fd\u662f\u66f4\u9ad8\u7684\u3002<\/section>\n<section><\/section>\n<section>\u4e0e\u6b64\u540c\u65f6\uff0c\u5176\u5b9e\u6211\u4eec\u4e00\u4e2a\u793e\u533a\u7684 Common Sense \u6216\u8005\u662f\u8bf4\u5728\u5bf9\u9f50\u8fc7\u7a0b\u5f53\u4e2d\u5b9e\u8df5\u662f\u76d1\u7763\u5fae\u8c03\u4e3b\u8981\u662f\u8d1f\u8d23\u8bb0\u5fc6\uff0c\u800c\u5f88\u96be\u5b9e\u73b0 out of distribution\uff0c\u4e5f\u5c31\u662f\u5206\u5e03\u5916\u7684\u6cdb\u5316\uff0c\u800c\u57fa\u4e8e\u7ed3\u679c\u5956\u52b1\u6a21\u578b\u7684\u5f3a\u5316\u5b66\u4e60\u662f\u80fd\u591f\u83b7\u5f97\u66f4\u9ad8\u7684\u6cdb\u5316\u80fd\u529b\u7684\u3002\u5bf9\u4e8e\u6b64\u7684\u7406\u89e3\uff0c\u5176\u5b9e\u6211\u4eec\u4e00\u822c\u5728\u540e\u8bad\u7ec3\u7684\u9636\u6bb5\u4e2d\u662f\u91c7\u7528\u76d1\u7763\u5fae\u8c03\u6765\u89c4\u529d\u6a21\u578b\u7684\u8f93\u5165\u683c\u5f0f\uff0c\u4ece\u800c\u4f7f\u5f97\u540e\u7eed\u7684\u5f3a\u5316\u5b66\u4e60\u53ef\u4ee5\u83b7\u5f97\u66f4\u9ad8\u7684\u6536\u76ca\u3002\u968f\u7740\u5f3a\u63a8\u7406\u6a21\u578b\u51fa\u73b0\u7684\u5174\u8d77\uff0c\u5176\u5b9e\u793e\u533a\u4e5f\u6709\u5f88\u591a\u7684\u5de5\u4f5c\u6765\u6bd4\u8f83\u957f\u6587\u672c\u7684\u601d\u7ef4\u94fe\u7684\u8fd9\u79cd\u6548\u679c\uff0c\u6bd4\u5982\u8bf4\u5176\u5b9e\u80cc\u540e\u662f\u8bf4\u5982\u4f55\u53bb scaling up \u53ef\u9a8c\u8bc1\u7684\u5956\u52b1\u4f1a\u6210\u4e3a\u4e00\u4e2a\u6838\u5fc3\u3002\u5bf9\u4e8e\u4e00\u4e9b\u5c0f\u6a21\u578b\u6765\u8bf4\uff0c\u5176\u5b9e\u4e5f\u6709\u4e00\u4e9b\u5de5\u4f5c\u53d1\u73b0\u5176\u5b9e\u50cf Qwen-math-7b \u8fd9\u4e9b\uff0c\u5b83\u662f\u4e0d\u5bb9\u6613 recentivize \u957f\u601d\u7ef4\u94fe\u7684\u8303\u5f0f\uff0c\u6bd4\u5982\u8bf4\u4e00\u4e9b &#8216;aha&#8217; Moment\u3002\u90a3\u4e48\u5728\u50cf Math \u573a\u666f\u4e0b\uff0c\u5176\u5b9e\u50cf wait check \u8fd9\u4e9b\u8bcd\uff0c\u5b83\u662f\u5728 RL \u8bad\u7ec3\u4e2d\u6ca1\u6709\u8fdb\u884c\u660e\u663e\u7684\u589e\u52a0\u7684\uff0c\u6240\u4ee5\u5982\u4f55\u5c06\u84b8\u998f\u548c\u5f3a\u5316\u5b66\u4e60 combine \u8d77\u6765\uff0c\u5176\u5b9e\u8fd8\u662f\u4e00\u4e2a\u6bd4\u8f83\u5173\u952e\u7684\u793e\u533a\u7684\u95ee\u9898\u3002\u4f46\u662f\u6211\u4eec\u5982\u679c\u8981\u7a81\u7834\u5f3a\u5316\u5b66\u4e60\u7684\u6216\u8005\u7a81\u7834\u63a8\u7406\u7684\u80fd\u529b\u7684\u4e0a\u754c\u7684\u8bdd\uff0c\u5176\u5b9e\u8fd8\u662f\u8981\u4f9d\u9760\u5f3a\u5316\u5b66\u4e60\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-7fabafe0db5aff2ffb29ca548c84c347.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-7fabafe0db5aff2ffb29ca548c84c347.png\"><\/a><\/section>\n<section>\u8fd9\u91cc\u6709\u4e00\u4e9b open questions \u662f\u6bd4\u5982\u8bf4<strong>\u957f\u601d\u7ef4\u94fe\u7684\u6307\u4ee4\u6570\u636e\u6269\u5c55\uff0c\u5b83\u662f\u5426\u662f\u6709\u52a9\u4e8e\u63d0\u5347\u6162\u601d\u8003\u63a8\u7406\u80fd\u529b\uff0c\u4ee5\u53ca\u6211\u4eec\u5982\u4f55\u53bb\u6784\u5efa\u8fd9\u6837\u7684\u957f\u601d\u7ef4\u94fe\u6570\u636e\u6765\u83b7\u5f97\u6700\u4f73\u7684\u6837\u672c\u6548\u7387\uff0c\u8fdb\u4e00\u6b65\u7684\u6211\u4eec\u957f\u601d\u7ef4\u94fe\u7684\u6269\u5c55\u662f\u5426\u6709\u52a9\u4e8e\u591a\u6a21\u6001\u4efb\u52a1<\/strong>\u3002<\/section>\n<section><\/section>\n<section>\u6211\u4eec\u4e4b\u524d\u7684\u4e00\u4e9b\u5c1d\u8bd5\u662f\u6bd4\u5982 RedSTaR\uff0c\u5176\u5b9e\u5728\u8fd9\u4efd\u5de5\u4f5c\u4e2d\u6211\u4eec\u662f\u53d1\u73b0\u4e86\u8fd9\u4e48\u4e00\u4e9b takeaways\uff1a\u9996\u5148\u957f\u601d\u7ef4\u94fe\u5b83\u662f\u80fd\u591f\u5728\u6709\u9650\u7684\u6570\u636e\u4e0b\u53bb\u589e\u52a0\u63a8\u7406\u80fd\u529b\u7684\uff0c\u6bd4\u5982\u8bf4\u53ea\u9700\u8981 1300 \u6761\u6570\u636e\uff0c\u6570\u636e\u91cf\u8f83\u5c11\u7684\u60c5\u51b5\u4e0b\u53bb\u589e\u52a0\u5c0f\u6a21\u578b\u7684\u5f3a\u63a8\u7406\u80fd\u529b\u3002\u4e0e\u6b64\u540c\u65f6\u66f4\u5927\u89c4\u6a21\u7684\u6a21\u578b\u4ee5\u53ca\u66f4\u591a\u4e13\u4e1a\u9884\u8bad\u7ec3\u7684\u6a21\u578b\uff0c\u5b83\u5176\u5b9e\u5728\u8fd9\u6837\u4e00\u4e2a\u957f\u63a8\u7406\u94fe\u7684\u5fae\u8c03\u4e2d\u5176\u5b9e\u8868\u73b0\u662f\u66f4\u4f73\u7684\uff0c\u5305\u62ec\u5728\u8f83\u5c0f\u7684\u6a21\u578b\u4e2d\uff0c\u5b83\u6b63\u786e\u7684\u63a8\u7406\u8def\u5f84\u548c\u5904\u7406\u590d\u6742\u4efb\u52a1\u7684\u80fd\u529b\uff0c\u8fd9\u4e5f\u8fdb\u4e00\u6b65\u8bc1\u660e\u5176\u5b9e\u9884\u8bad\u7ec3\u4e2d\u7684\u77e5\u8bc6\uff0c\u5bf9\u4e8e\u540e\u7eed\u65e0\u8bba\u662f\u84b8\u998f\u8fd8\u662f\u5f3a\u5316\u5b66\u4e60\u7684\u62d3\u5c55\u90fd\u662f\u6709\u5e2e\u52a9\u7684\u3002<\/section>\n<section><\/section>\n<section>\u8fdb\u4e00\u6b65\u5176\u5b9e\u4efb\u52a1\u548c\u8bed\u8a00\u4e4b\u95f4\u4e5f\u53ef\u4ee5\u901a\u8fc7\u957f\u76d1\u7763\u5fae\u8c03\u8fdb\u884c\u6b63\u8fc1\u79fb\uff0c\u6bd4\u5982\u8bf4\u4ece\u800c\u53bb\u5e2e\u52a9\u5728\u901a\u7528\u4efb\u52a1\u4e0a\u7684\u8bed\u8a00\u7684\u6cdb\u5316\u6027\uff0c\u4ee5\u53ca\u5728\u901a\u8fc7\u57fa\u7840\u4efb\u52a1\u4e2d\u53bb\u53d6\u5f97\u66f4\u597d\u7684\u8868\u73b0\uff0c\u901a\u8fc7\u4e00\u4e9b\u79bb\u7ebf\u5f3a\u5316\u5b66\u4e60\u7b97\u6cd5\u548c online \u7684\u5f3a\u5316\u5b66\u4e60\u7b97\u6cd5\uff0c\u6211\u4eec\u4e5f\u80fd\u591f\u63d0\u5347\u6a21\u578b\u7684\u8868\u73b0\u3002\u4e0e\u6b64\u540c\u65f6\u5c06 long cot \u5e94\u7528\u5230\u591a\u6a21\u6001\u5927\u578b\u6a21\u578b\uff0c\u4e5f\u662f\u53ef\u4ee5\u663e\u8457\u63d0\u5347\u5176\u6027\u80fd\u7684\u3002DeepSeek-R1 \u4e5f\u662f\u73b0\u5728\u53ea\u6709\u6587\u672c\u6a21\u6001\uff0c\u672a\u6765\u5982\u4f55\u8fdb\u884c\u591a\u6a21\u6001\u7684\u6269\u5c55\u4e5f\u662f\u975e\u5e38\u5173\u952e\u7684\u4e00\u4e2a\u95ee\u9898\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-0431176ec9c8f2e44a29627271dc8178.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-0431176ec9c8f2e44a29627271dc8178.png\"><\/a><\/section>\n<section>\u5176\u5b9e\u793e\u533a\u6709\u4e00\u4e9b\u65b9\u6cd5\u6bd4\u5982<strong>\u6700\u8fd1\u975e\u5e38\u706b\u7684 S1 \u6a21\u578b<\/strong>\uff0c\u6211\u4eec\u5728\u8fd9\u91cc\u8fdb\u884c\u4e00\u4e2a\u7b80\u5355\u7684\u5206\u6790\u3002Kimi K 1.5 \u4e2d\u7684 long2short \u7684\u65b9\u6cd5\u5176\u5b9e\u672c\u8d28\u4e0a\u4e5f\u662f\u4e00\u79cd\u84b8\u998f\uff0c\u4e5f\u5c31\u662f\u6211\u4eec\u5982\u4f55\u5c06\u957f\u6587\u672c\u601d\u7ef4\u94fe\u7684\u6a21\u578b\u7684\u77e5\u8bc6\u8fc1\u79fb\u5230\u77ed\u6587\u672c\u7684\u6a21\u578b\u4e0a\uff0c\u4e0d\u8fc7\u5b83\u7684\u76ee\u6807\u548c\u7b56\u7565\u9700\u8981\u66f4\u591a\u6837\u3002\u4e0d\u4ec5\u9700\u8981\u6027\u80fd\uff0c\u8fd8\u9700\u8981 Token \u7684\u6548\u7387\uff0c\u5e76\u4e14\u66f4\u591a\u7684\u53bb\u5173\u6ce8\u5bf9\u4e8e\u6559\u5e08\u6a21\u578b\u63a8\u7406\u7b56\u7565\u7684\u5b66\u4e60\uff0c\u800c\u4e0d\u4ec5\u4ec5\u662f\u8f93\u51fa\u3002\u800c S1 \u6a21\u578b\uff0c\u5b83\u662f\u901a\u8fc7\u5c11\u6210\u672c\u53bb\u83b7\u5f97 o1-preview \u7684\u8fd9\u4e48\u4e00\u4e2a\u8868\u73b0\u3002<\/section>\n<section><\/section>\n<section>\u5b83\u5173\u952e\u662f\u57fa\u4e8e\u4e24\u70b9\uff0c\u7b2c\u4e00\u4e2a\u662f\u9ad8\u8d28\u91cf\u63a8\u7406\u6570\u636e\u96c6\u7684\u8d21\u732e\uff0c\u4e5f\u5c31\u662f\u8fdb\u884c\u6311\u9009\u4e86 1000 \u6761\uff0c\u5173\u4e8e\u6570\u5b66\u7ade\u8d5b\u535a\u58eb\u7ea7\u7684\u79d1\u5b66\u95ee\u9898\u3001\u4ee5\u53ca\u5965\u6797\u5339\u514b\u7ade\u8d5b\u9898\u76ee\u7b49\uff0c\u8fd9\u4e9b\u95ee\u9898\u7ecf\u8fc7\u96be\u5ea6\u591a\u6837\u6027\u548c\u8d28\u91cf\u7684\u4e25\u683c\u7b5b\u9009\uff0c\u5b83\u662f\u5305\u542b\u4e86\u8be6\u7ec6\u7684\u63a8\u7406\u8f68\u8ff9\u548c\u7b54\u6848\uff0c\u5b83\u4e5f\u80fd\u8fbe\u5230\u7c7b\u4f3c\u4e8e\u8bfe\u7a0b\u5b66\u4e60\u7684\u6548\u679c\uff1b\u7b2c\u4e8c\u4e2a\u662f\u91c7\u6837\u7b56\u7565\u7684\u4f18\u5316\uff0c\u5176\u5b9e\u4ed6\u4eec\u91c7\u7528\u4e86\u4e00\u4e2a\u9884\u7b97\u5f3a\u5236\u6cd5\u6765\u63a7\u5236\u6a21\u578b\u5728\u63a8\u7406\u65f6\u95f4\u7684\u8ba1\u7b97\u6d88\u8017\uff0c\u4e5f\u5c31\u662f\u901a\u8fc7\u5f15\u5165 end of thinking \u7684 token\uff0c\u53bb\u63a7\u5236\u6a21\u578b\u7684\u601d\u7ef4\u94fe\u957f\u5ea6\uff0c\u6bd4\u5982\u7ec8\u6b62\u601d\u8003\u8fc7\u7a0b\u6765\u8f6c\u5411\u7b54\u6848\u751f\u6210\u7684\u9636\u6bb5\u3002\u5982\u679c\u8981\u589e\u52a0\u8ba1\u7b97\u6295\u5165\u7684\u8bdd\uff0c\u6211\u4eec\u5c31\u4f1a\u6682\u65f6\u963b\u6b62 end of thinking \u7684 token \u51fa\u73b0\u6765\u9f13\u52b1\u8fdb\u4e00\u6b65\u7684\u63a2\u7d22\u3002DeepSeek-R1 \u4e3a\u4ec0\u4e48\u84b8\u998f\u7684\u6548\u679c\u80fd\u591f\u8d85\u8fc7\u5f3a\u5316\u5b66\u4e60\uff0c\u5176\u5b9e\u4e3b\u8981\u662f\u5728\u4e8e DeepSeek R1 \u8fd9\u4e2a\u6a21\u578b\u786e\u5b9e\u5f88\u5927\uff0c\u7136\u540e\u4ed6\u4e5f\u786e\u5b9e\u53d1\u73b0\u4e86\u4e00\u4e9b\u9ad8\u7ea7\u63a8\u7406\u7684\u8303\u5f0f\u3002\u901a\u8fc7\u5927\u89c4\u6a21\u7684\u6570\u636e\u7684\u84b8\u998f\uff0c\u5b83\u5176\u5b9e\u80fd\u591f\u8ba9\u5c0f\u6a21\u578b\u5728\u4efb\u52a1\u8868\u73b0\u4e0a\u662f\u8d85\u8fc7\u5c0f\u6a21\u578b\u8fdb\u884c\u5927\u89c4\u6a21\u5f3a\u5316\u5b66\u4e60\u7684\u6548\u679c\u7684\u3002<\/section>\n<section><\/section>\n<section>\u4f46\u662f\u5b83\u4e5f\u6709\u4e24\u4e2a\u6bd4\u8f83\u5173\u952e\u7684\u70b9\uff0c\u7b2c\u4e00\u662f\u5bf9\u4e8e\u4f9d\u8d56\u5f3a\u5927\u7684\u6559\u5e08\u6a21\u578b\uff0c\u7b2c\u4e8c\u662f\u5b83\u7684\u8bc1\u660e\u8fc7\u7a0b\uff0c\u901a\u5e38\u662f\u57fa\u4e8e\u7279\u5b9a\u4efb\u52a1\u6216\u8005\u4e00\u7ec4\u4efb\u52a1\uff0c\u6bd4\u5982\u8bf4\u4ee3\u7801\u548c\u6570\u5b66\u95ee\u9898\u6765\u8fdb\u884c\u4f18\u5316\uff0c\u8fd9\u53ef\u80fd\u5bfc\u81f4\u751f\u6210\u7684\u5c0f\u6a21\u578b\u5728\u9762\u5bf9\u65b0\u4efb\u52a1\u4f8b\u5982\u901a\u7528\u4efb\u52a1\u65f6\u5b83\u7684\u9002\u5e94\u6027\u548c\u65b9\u6cd5\u80fd\u529b\u662f\u4e0d\u8db3\u7684\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-7b5800454dca604e4a13c0e55064304e.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-7b5800454dca604e4a13c0e55064304e.png\"><\/a><\/section>\n<section>\u63a5\u4e0b\u6765\u4e00\u4e2a\u5bf9\u6bd4\u8ba8\u8bba\u5c31\u662f <strong>MCTS \u548c PRM \u7684\u5e94\u7528<\/strong>\u3002\u6211\u4eec\u77e5\u9053\u5176\u5b9e\u793e\u533a\u5305\u62ec\u6211\u4eec\u4e4b\u524d\u7684\u8bb2\u89e3\uff0c\u5bf9\u4e8e MCTS \u548c\u8fc7\u7a0b\u5956\u52b1\u6a21\u578b\uff0c\u5b9e\u8fd8\u662f\u6bd4\u8f83\u91cd\u89c6\u7684\u3002MCTS \u7684\u6838\u5fc3\u7684\u65b9\u6cd5\uff0c\u662f\u5c06\u7b54\u6848\u62c6\u5206\u6210\u5206\u53e5\u6216\u8005 Token \u4e3a\u5355\u4f4d\u7684\u8282\u70b9\uff0c\u7136\u540e\u5bf9\u4e8e\u89e3\u7a7a\u95f4\u8fdb\u884c\u641c\u7d22\u3002\u4f46\u662f\u901a\u8fc7 MCTS \u53ef\u80fd\u4f1a\u6709\u4ee5\u4e0b\u7684\u95ee\u9898\uff0c\u7b2c\u4e00\u4e2a\u662f\u6574\u4e2a token \u7684 generation space \u662f\u66f4\u5927\u7684\uff0c\u800c\u4e0d\u662f\u50cf\u8c61\u68cb\u4e00\u6837\uff0c\u8c61\u68cb\u4e2d\u7684\u641c\u7d22\u7a7a\u95f4\u662f\u76f8\u5bf9\u4e00\u4e2a\u826f\u5b9a\u4e49\u7684\uff0c\u800c\u8bed\u8a00\u6a21\u578b\u5b83\u7684 token \u4ea7\u751f\u8fc7\u7a0b\u7a7a\u95f4\u662f\u76f8\u5bf9\u66f4\u5927\u7684\uff0c\u5b83\u662f\u66f4\u5bb9\u6613\u9677\u5165\u5c40\u90e8\u6700\u4f18\u7684\u3002\u7b2c\u4e8c\u662f MCTS \u4e2d\u7684 value model \u4e5f\u975e\u5e38\u91cd\u8981\uff0c\u5b83\u76f4\u63a5\u5f71\u54cd\u4e86\u641c\u7d22\u65b9\u5411\uff0c\u800c\u53bb\u76f4\u63a5\u53bb\u8bad\u7ec3\u4e00\u4e2a\u66f4\u597d\u7684 value model \u662f\u76f8\u5bf9\u6bd4\u8f83\u56f0\u96be\u7684\uff0c\u6240\u4ee5\u5728\u590d\u73b0\u5f3a\u63a8\u7406\u6a21\u578b\u7684\u4e00\u4e9b\u5b9e\u8df5\u4e0a\uff0c\u5176\u5b9e\u793e\u533a\u4e5f\u6709\u5f88\u591a\u5173\u6ce8\u7684\u5982\u4f55\u8fdb\u884c MCTS \u7b97\u6cd5\u7684\u4f18\u5316\u3002<\/section>\n<section><\/section>\n<section><strong>\u4e00\u4e2a\u76f8\u5bf9\u6210\u529f\u7684\u5178\u8303\u662f rStar-Math<\/strong>\uff0c\u5b83\u662f\u901a\u8fc7\u5c0f\u6a21\u578b\u5c31\u8fbe\u5230\u4e86 OpenAI o1 \u6570\u5b66\u4efb\u52a1\u76f8\u5f53\u7684\u6c34\u5e73\uff0c\u5176\u4e2d\u5173\u952e\u7684\u6838\u5fc3\u601d\u8def\u662f\u901a\u8fc7\u4e24\u4e2a\u5c0f\u6a21\u578b\u7684\u914d\u5408\uff0c\u5176\u4e2d\u4e00\u4e2a\u662f\u7b56\u7565\u6a21\u578b policy model\uff0c\u53e6\u4e00\u4e2a\u6a21\u578b\u6211\u628a\u5b83\u8bad\u7ec3\u6210\u4e3a\u57fa\u4e8e\u504f\u597d\u7684\u8fc7\u7a0b\u5956\u52b1\u6a21\u578b\uff0c\u5b83\u901a\u8fc7\u914d\u5408\u8fed\u4ee3\uff0c\u7136\u540e MCTS \u53bb\u4ea7\u751f\u5206\u6b65\u9a8c\u8bc1\u7684\u9ad8\u8d28\u91cf\u5904\u7406\u6570\u636e\uff0c\u7136\u540e\u518d\u8fdb\u884c\u4e00\u4e2a\u81ea\u6211\u8fed\u4ee3\u7684\u63d0\u5347\uff0c\u4ece\u800c\u4e0d\u65ad\u7684\u66f4\u65b0\u6570\u636e\uff0c\u7136\u540e\u5fae\u8c03\u6a21\u578b\u3002\u5176\u4e2d\u80cc\u540e\u7684\u4e00\u4e2a\u89c2\u70b9\u662f\u8bf4\uff0c\u6211\u4eec\u63d0\u5230 PRM\uff0c\u5bf9\u4e8e\u5355\u4e2a\u6b65\u9aa4\u7684\u7edd\u5bf9\u503c\u4f18\u5316\uff0c\u5b83\u5176\u5b9e\u53ef\u80fd\u662f\u5b58\u5728\u95ee\u9898\uff0c\u6216\u8005\u8bf4\u96be\u4ee5\u4f30\u786e\u51c6\u7a33\u5b9a\u7684\u5956\u52b1\uff0c\u4f46\u662f\u901a\u8fc7 MCTS \u7684\u6a21\u62df\u4e4b\u540e\uff0c\u6211\u4eec\u867d\u7136\u7edd\u5bf9\u503c\u7684\u8bc4\u5206\u662f\u4e0d\u51c6\u7684\uff0c\u4f46\u5b83\u80fd\u591f\u6709\u6548\u7684\u8bc6\u522b\u51fa\u54ea\u4e9b\u6b65\u9aa4\u662f\u6b63\u786e\u7684\u3001\u54ea\u4e9b\u6b65\u9aa4\u662f\u9519\u8bef\u7684\uff0c\u8fdb\u800c\u6211\u4eec\u5c31\u53ef\u4ee5\u5229\u7528 ranking loss\uff0c\u53bb\u8bad\u7ec3\u4e00\u4e2a\u504f\u5e8f\u6570\u636e\u96c6\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-43ce8cb725bf99c0e2b1143c71c3ef2d.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-43ce8cb725bf99c0e2b1143c71c3ef2d.png\"><\/a><\/section>\n<section>\u6bd4\u8f83\u6811\u641c\u7d22\u548c\u4e0d\u540c\u7684\u5956\u52b1\u6a21\u578b\u7684\u4e00\u4e9b\u65b9\u6cd5\uff0c\u5176\u5b9e\u6211\u4eec\u53ef\u4ee5\u53d1\u73b0\uff0c\u4f20\u7edf\u7684\u4e00\u4e9b\u65b9\u6848\u90fd\u662f\u57fa\u4e8e\u6bd4\u5982\u8bf4\u50cf\u5229\u7528\u6211\u4eec MCTS \u53bb\u6784\u5efa\u6570\u636e\u96c6\u6216\u8005\u662f\u8bf4\u76f4\u63a5\u53bb\u663e\u5f0f\u5728\u63a8\u7406\u8fc7\u7a0b\u4e2d\u52a0\u5165\u6811\u641c\u7d22\u7684\u6280\u5de7\u6765\u5ef6\u957f\u63a8\u7406\u7684\u65f6\u95f4\uff0c\u5176\u5b9e\u80cc\u540e\u7684\u76f8\u5e94\u6709\u4e00\u4e9b\u8003\u91cf\u662f\u8bf4\u76f4\u63a5\u5c06\u6811\u641c\u7d22\u5e94\u7528\u5230\u6a21\u578b\u7684\u8bad\u7ec3\u8fc7\u7a0b\u4e2d\uff0c\u662f\u5426\u53ef\u80fd\u4f1a\u9650\u5236\u6a21\u578b\u7684\u601d\u8003\u8fc7\u7a0b\u3002\u80cc\u540e\u7684\u542f\u53d1\u662f\uff0c\u6811\u641c\u7d22\u672c\u8eab\u662f\u4e00\u79cd\u7ed3\u6784\u5316\u7684\u5148\u9a8c\uff0c\u5305\u62ec A * \u7b97\u6cd5\u4e5f\u662f\u8fd9\u6837\u7684\u4e00\u79cd structure\uff0c\u90a3\u4e48<strong>\u4eba\u4e3a\u7684\u52a0\u5165\u8fd9\u6837\u7684\u8ba4\u77e5\u504f\u5dee\u4f7f\u5f97\u8bed\u8a00\u6a21\u578b\u53bb\u6309\u7167\u4eba\u7c7b\u7684\u7ed3\u6784\u5316\u7ecf\u9a8c\u53bb\u8fdb\u884c\u601d\u8003\uff0c\u662f\u53ef\u80fd\u4f1a\u9650\u5236\u6a21\u578b\u7684\u80fd\u529b<\/strong>\u3002\u6bd4\u5982\u8bf4\uff0c\u5c31\u5982\u53f3\u8fb9 OpenAI \u6240\u5c55\u793a\u7684\u56fe\uff0c\u5176\u5b9e\u968f\u7740\u7b97\u529b\u7684\u589e\u957f\uff0c\u52a0\u5165\u66f4\u591a\u7684\u8fd9\u6837\u4e00\u4e2a\u4eba\u7c7b\u5148\u9a8c\uff0c\u5176\u5b9e\u6574\u4e2a\u6a21\u578b\u7684\u8868\u73b0\u4e0a\u9650\u662f\u6709\u9650\u7684\uff0c\u5177\u6709\u66f4\u5c11\u7684\u4eba\u7c7b\u5148\u9a8c\uff0c\u6240\u80fd\u83b7\u5f97\u7684\u8868\u73b0\u4e0a\u754c\u662f\u66f4\u9ad8\u7684\u3002\u6700\u540e\u6211\u4eec\u60f3\u8981\u601d\u8003\u7684\u662f\uff0c\u6211\u4eec\u4e0d\u901a\u8fc7\u989d\u5916\u7684\u6dfb\u52a0\u4eba\u4e3a\u5148\u9a8c\uff0c\u6a21\u578b\u81ea\u8eab\u7684\u65f6\u5019\u662f\u5426\u53ef\u4ee5\u76f4\u63a5\u8fdb\u884c\u601d\u8003\u7684\u3002<\/section>\n<section><\/section>\n<section>\u80cc\u540e\u5176\u5b9e\u6709\u4e24\u4e2a\u7b97\u6cd5\uff1a\u7b2c\u4e00\u4e2a\u4e5f\u5c31\u662f\u7b97\u6cd5\u84b8\u998f\uff0c\u7b2c\u4e8c\u4e2a\u662f\u901a\u8fc7\u641c\u7d22\u6d41\u6765\u663e\u5f0f\u7684\u53bb\u5f15\u5165\u89c4\u5212\u7684\u8fc7\u7a0b\u3002\u5173\u4e8e\u7b97\u6cd5\u84b8\u998f\u5176\u5b9e\u662f\u5c06\u5f3a\u5316\u5b66\u4e60\u7684\u6574\u4e2a\u8bad\u7ec3\u8fc7\u7a0b\u4e2d\u7684 history \u7684 trajectory\uff0c\u76f4\u63a5\u5efa\u6a21\u5230\u8bed\u8a00\u6a21\u578b\u4e2d\u4ece\u800c\u5bfb\u627e\u4e00\u4e2a\u6570\u636e\u76f8\u5bf9\u4f1a\u6bd4\u8f83\u9ad8\u6548\u7684\u8fd9\u6837\u4e00\u4e9b\u5f3a\u5316\u5b66\u4e60\u7b97\u6cd5\u3002Stream of Search \u4e5f\u5c31\u662f\u641c\u7d22\u6d41\u5176\u5b9e\u662f\u7c7b\u4f3c\u7684\uff0c\u5b83\u66f4\u591a\u662f\u8bf4\u5c06\u5f3a\u5316\u5b66\u4e60\u7684\u8bad\u7ec3\u7684\u8f68\u8ff9\uff0c\u6bd4\u5982\u5c06\u5bf9\u641c\u7d22\u8fc7\u7a0b\u8f6c\u5316\u4e3a\u81ea\u7136\u8bed\u8a00\u5e8f\u5217\u8bad\u7ec3\u9884\u8bad\u7ec3\u6a21\u578b\uff0c\u7136\u540e\u57fa\u4e8e\u8fd9\u4e2a\u6a21\u578b\uff0c\u505a\u4e00\u4e9b\u7b56\u7565\u63d0\u5347\u7684\u65b9\u6cd5\uff0c\u5b83\u4e5f\u662f\u89e3\u51b3\u4e86\u5f88\u591a\u542f\u53d1\u5f0f\u7684\u89e3\u51b3\u5668\u6ca1\u6709\u89e3\u51b3\u7684\u4e00\u4e9b\u95ee\u9898\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-135d81a7715ab6009adab890f0b88460.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-135d81a7715ab6009adab890f0b88460.png\"><\/a><\/section>\n<section>\u4f46\u662f\u6211\u4eec\u53ef\u4ee5\u770b\u5230\u5176\u5b9e DS-R1 \u548c Kimi K1.5 \u5b83\u80cc\u540e\u6ca1\u6709\u8fdb\u884c\u660e\u786e\u7684\u6811\u641c\u7d22\u548c\u8fc7\u7a0b\u5956\u52b1\u6a21\u578b\u7684\u5c1d\u8bd5\uff0c\u5176\u80cc\u540e\u4e5f\u6709\u5176\u7279\u5b9a\u7684\u8003\u91cf\u3002\u6bd4\u5982\u8bf4\u8fd9\u4e2a\u8fc7\u7a0b\u5956\u52b1\u6a21\u578b\uff0c\u5b83\u5177\u5907\u7684\u4e00\u4e9b\u6311\u6218\u662f\u51b3\u5b9a\u5f53\u4e0b\u7684\u67d0\u4e00\u6b65\u662f\u5426\u662f\u6b63\u786e\u662f\u4e00\u4e2a\u975e\u5e38\u96be\u7684\u4efb\u52a1\uff0c\u90a3\u4e48\u5e76\u4e14\u901a\u8fc7\u81ea\u52a8\u5316\u6807\u6ce8\u662f\u5f88\u96be\u4ee5\u4ea7\u751f\u5f88\u597d\u7684\u7ed3\u679c\u7684\uff0c\u800c\u901a\u8fc7\u4eba\u5de5\u6807\u6ce8\u53c8\u5f88\u96be\u4ee5\u628a\u89c4\u6a21\u6269\u5927\uff1b\u7b2c\u4e8c\u662f\u57fa\u4e8e\u795e\u7ecf\u7f51\u7edc\u7684\u8fc7\u7a0b\u5956\u52b1\u6a21\u578b\u53ef\u80fd\u4f1a\u5f15\u5165\u5956\u52b1\u653b\u9677\u7684\u73b0\u8c61\uff0c\u800c\u91cd\u65b0\u8bad\u7ec3\u5c31\u4f1a\u8ba9\u6574\u4e2a\u8bad\u7ec3\u8fc7\u7a0b\u53d8\u5f97\u975e\u5e38\u590d\u6742\uff0c\u5e76\u4e14\u6574\u4e2a\u8fc7\u7a0b\u5956\u52b1\u6a21\u578b\u8fd8\u662f\u6bd4\u8f83\u9002\u5408\u4e8e rank \u524d n \u4e2a\u56de\u7b54\uff0c\u5e76\u4e14\u53bb\u652f\u6301\u6709\u65b9\u5411\u7684\u53bb\u641c\u7d22\u3002\u90a3\u4e48\u5728\u5927\u89c4\u6a21\u5f3a\u5316\u5b66\u4e60\u5b66\u4e60\u7684\u4f7f\u7528\u4e0b\uff0c\u5176\u5b9e\u63d0\u9ad8\u7b97\u529b\u76f8\u5bf9\u662f\u4e00\u4e2a\u66f4\u52a0\u76f4\u63a5\u7684\u65b9\u6cd5\u3002<\/section>\n<section><\/section>\n<section>\u4f46\u662f\u8fc7\u7a0b\u5956\u52b1\u6a21\u578b\u6709\u5b83\u81ea\u5df1\u7684\u6f5c\u529b\uff0c\u56e0\u4e3a\u5b83\u6bd5\u7adf\u603b\u5f52\u662f\u4e00\u4e2a\u6bd4\u8f83\u7a20\u5bc6\u7684\u76d1\u7763\u4fe1\u53f7\uff0c\u90a3\u4e48\u5bf9\u4e8e\u5956\u52b1\u8fdb\u884c\u5408\u9002\u7684 shaping \u4e4b\u540e\uff0c\u662f\u53ef\u4ee5\u4f7f\u8bad\u7ec3\u66f4\u52a0\u7a33\u5b9a\u6216\u8005\u6536\u655b\u66f4\u5feb\u7684\u3002\u5305\u62ec\u5176\u80cc\u540e\u4e5f\u6709\u66f4\u591a\u7684\u63a2\u7d22\u7684\u7a7a\u95f4\u6bd4\u5982\u8bf4\u6211\u4eec\u5982\u4f55\u8ba9\u6a21\u578b\u6536\u655b\u66f4\u5feb\u6216\u8005\u8bf4\u501f\u52a9\u8fc7\u7a0b\u5956\u52b1\u7684\u65b9\u6cd5\u6765\u8ba9\u6574\u4e2a\u8bad\u7ec3\u66f4\u52a0\u7a33\u5b9a\uff0c\u5e76\u4e14\u672a\u6765\u6709\u5e0c\u671b\u548c\u81ea\u52a8\u5316\u5f62\u5f0f\u5316\u9a8c\u8bc1\u8fdb\u884c\u7ed3\u5408\uff0c\u4ece\u800c\u63d0\u4f9b\u5728\u57fa\u4e8e\u89c4\u5219\u7684\u5956\u52b1\u4e4b\u5916\u66f4\u591a\u7684\u5956\u52b1\u4fe1\u53f7\uff0c\u4ece\u800c\u53bb\u6307\u5bfc\u5bc6\u96c6\u7684\u4f18\u5316\uff0c\u8d4b\u80fd\u957f\u601d\u7ef4\u94fe\u5b89\u5168\u7684\u9a8c\u8bc1\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-a4e6bb8421e0fe8f8b88df17ab453a02.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-a4e6bb8421e0fe8f8b88df17ab453a02.png\"><\/a><\/section>\n<section>\u90a3\u4e48\u6700\u540e\u4e00\u4e2a\u8ba8\u8bba\u4e5f\u5c31\u662f\u5176\u5b9e\u6211\u4eec\u4f1a\u53d1\u73b0\u73b0\u5728\u5f88\u591a\u5f3a\u63a8\u7406\u6a21\u578b\uff0c\u5b58\u5728\u8fc7\u5ea6\u601d\u8003\u7684\u884c\u4e3a\u5177\u4f53\u8868\u73b0\uff0c\u6bd4\u5982\u8bf4\u5b83\u4f1a\u51fa\u73b0\u8fc7\u591a\u7684\u8bed\u6c14\u8bcd\uff0c\u4ee5\u53ca\u5728\u4efb\u4f55\u7684\u573a\u5408\u90fd\u4f1a\u4f7f\u7528\u4e00\u4e9b\u9ad8\u7aef\u8bcd\u6c47\u5178\u578b\u7684\u6bd4\u5982 DS-R1 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href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-a920259383c70ffd67b2a0e16aba856b.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-a920259383c70ffd67b2a0e16aba856b.png\"><\/a><\/section>\n<section>\u5176\u5b9e\u6269\u5c55\u591a\u6a21\u6001\u5bf9\u5f3a\u63a8\u7406\u6709\u5f88\u591a\u53ef\u80fd\u6027\uff0c\u7b2c\u4e00\u79cd\u662f\u50cf Qwen \u4e00\u6837\u57fa\u4e8e\u591a\u6a21\u6001\u505a\u57fa\u5ea7\u7684\u6a21\u578b\u6269\u5c55\u5230\u5f3a\u63a8\u7406\u7684\u6a21\u578b\uff1b\u7b2c\u4e8c\u662f\u53ef\u4ee5\u5229\u7528 LLaVA \u7684\u601d\u8def\uff0c\u5728\u539f\u6765\u5f3a\u63a8\u7406\u57fa\u5ea7\u6a21\u578b\u4e0a\u8fdb\u884c\u989d\u5916\u7684\u591a\u6a21\u6001\u6a21\u5757\u7684\u6269\u5c55\uff0c\u6bd4\u5982\u8bf4\u5982\u51bb\u7ed3\u9664\u6295\u5f71\u5c42\u4e4b\u5916\u7684\u6240\u6709\u6a21\u578b\u53c2\u6570\uff0c\u5bf9\u6295\u5f71\u5c42\u8fdb\u884c\u5355\u72ec\u7684\u9884\u8bad\u7ec3\uff0c\u4ece\u800c\u83b7\u5f97\u80fd\u591f\u7ecf\u8fc7\u89c6\u89c9\u7f16\u7801\u5668\u7684\u89c6\u89c9\u8868\u5f81\u6620\u5c04\u5230\u8bed\u8a00\u8868\u5f81\u7a7a\u95f4\u7684\u80fd\u529b\uff1b\u4ee5\u53ca\u7b2c\u4e8c\u6b65\u662f\u540c\u65f6\u5fae\u8c03\u6295\u5f71\u5c42\u548c\u5927\u8bed\u8a00\u6a21\u578b\uff0c\u4ece\u800c\u6fc0\u53d1\u8bed\u8a00\u6a21\u578b\u7684\u591a\u6a21\u6001\u5904\u7406\u80fd\u529b\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-3f3c678d8cfbeb40d7747eec79bc014a.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-3f3c678d8cfbeb40d7747eec79bc014a.png\"><\/a><\/section>\n<section><strong>\u672a\u6765\u65b9\u5411\u5206\u6790\u63a2\u8ba8<\/strong><\/section>\n<section><\/section>\n<section>\u6211\u4eec\u5728\u8fd9\u91cc\u4e5f\u603b\u7ed3\u4e86\u4e00\u4e9b\u672a\u6765\u7684\u6280\u672f\u65b9\u5411\uff0c\u6bd4\u5982\u8bf4<strong>\u957f\u63a8\u7406\u6a21\u578b\u7684\u53ef\u89e3\u91ca\u6027\u3001\u6a21\u6001\u6269\u5c55\u3001\u5f3a\u63a8\u7406\u5982\u4f55\u8d4b\u80fd\u667a\u80fd\u4f53\u7684\u53d1\u5c55\u4ee5\u53ca\u5f3a\u63a8\u7406\u6a21\u578b\u4e0b\u7684\u4e00\u4e2a\u76d1\u7ba1\u548c\u5b89\u5168\u4fdd\u8bc1\uff0c\u5177\u4f53\u5305\u62ec\u5f62\u5f0f\u5316\u9a8c\u8bc1\u3001\u5ba1\u8ba1\u5bf9\u9f50\u548c\u5bf9\u9f50\u6b3a\u9a97\u73b0\u8c61<\/strong>\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-32f3508b5ffd4854913d11d0cc56f5e8.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-32f3508b5ffd4854913d11d0cc56f5e8.png\"><\/a><\/section>\n<section><strong>\u9996\u5148\u662f\u957f\u601d\u7ef4\u94fe\u7684\u53ef\u89e3\u91ca\u6027\uff0c\u5176\u5b9e\u5f3a\u63a8\u7406\u6a21\u578b\u5728\u4e3a\u6211\u4eec\u5e26\u6765\u6027\u80fd\u63d0\u5347\u7684\u540c\u65f6\u4e5f\u5e26\u6765\u4e86\u65b0\u7684\u6311\u6218<\/strong>\u3002\u6bd4\u5982\u5728\u590d\u6742\u7684\u73af\u5883\u4e0b\uff0c\u6a21\u578b\u53ef\u80fd\u4f1a\u91c7\u53d6\u6377\u5f84\u6216\u8005\u504f\u79bb\u539f\u672c\u7684\u8bbe\u8ba1\u7684\u4efb\u52a1\u8def\u7ebf\uff0c\u90a3\u4e48\u968f\u7740\u6a21\u578b\u88ab\u63d0\u4f9b\u9690\u5f0f\u601d\u8003\u7684\u673a\u4f1a\uff0c\u51fa\u73b0\u8fd9\u79cd\u64cd\u7eb5\u548c\u6b3a\u9a97\u7684\u53ef\u80fd\u6027\u9010\u6e10\u52a0\u5927\uff0c\u6a21\u578b\u53ef\u4ee5\u53bb\u901a\u8fc7\u76f8\u5e94\u7684\u601d\u8003\u53bb\u66f4\u53d1\u73b0\u5b8c\u6210\u76ee\u6807\u7684\u66f4\u5feb\u65b9\u6cd5\u3002\u5c3d\u7ba1\u8fd9\u79cd\u76ee\u6807\u53ef\u80fd\u662f\u4e0d\u88ab\u5141\u8bb8\u6216\u8005\u662f\u6b3a\u9a97\u4eba\u7c7b\u7684\u3002\u6bd4\u5982\u8bf4\u5728 OpenAI \u7684 o1 \u4e2d\u5c31\u5df2\u7ecf\u53d1\u73b0\u4e86\u8fd9\u79cd\u901a\u8fc7\u83b7\u53d6\u4efb\u52a1\u7684\u6f0f\u6d1e\u6765\u5b8c\u6210\u4efb\u52a1\u7684\u8fd9\u6837\u4e00\u4e2a\u73b0\u8c61\u3002\u5e76\u4e14\u540c\u6837\u7684\u73b0\u8c61\u4e5f\u5728\u66f4\u591a\u7684\u8bed\u8a00\u6a21\u578b\u4e0a\u53d1\u73b0\u4e86\u8fd9\u79cd\u5956\u52b1\u7be1\u6539\u7684\u673a\u5236\uff0c\u6bd4\u5982\u4fee\u6539\u81ea\u5df1\u7684\u5956\u52b1\u673a\u5236\u6765\u907f\u5f00\u8bbe\u7f6e\u7684\u96be\u70b9\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-a6ca6762ef06c2d2c21918ab31ebeca5.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-a6ca6762ef06c2d2c21918ab31ebeca5.png\"><\/a><\/section>\n<section>\u57fa\u4e8e\u957f\u601d\u7ef4\u94fe\u7684\u63a8\u7406\u867d\u7136\u5728\u4e00\u5b9a\u7a0b\u5ea6\u4e0a\u53ef\u4ee5\u63d0\u9ad8\u6a21\u578b\u7684\u53ef\u89e3\u91ca\u6027\uff0c\u6bd4\u5982\u8bf4\u6211\u4eec\u53ef\u4ee5\u67e5\u770b\u663e\u5f0f\u7684\u8def\u5f84\u8ba9\u4eba\u7c7b\u53ef\u4ee5\u8ffd\u8e2a\u5230\u6a21\u578b\u5982\u4f55\u4ece\u8f93\u5165\u63a8\u5bfc\u51fa\u8f93\u51fa\uff0c\u8fdb\u800c\u8ffd\u8e2a\u6a21\u578b\u7684\u51b3\u7b56\u8fc7\u7a0b\u3002\u4f46\u662f\u4e0e\u6b64\u540c\u65f6\u5b83\u4e5f\u4e0d\u80fd\u5b8c\u5168\u53bb\u53ef\u89e3\u91ca\u6027\u7684\u95ee\u9898\uff0c\u56e0\u4e3a\u6a21\u578b\u53ef\u80fd\u4ecd\u7136\u5229\u7528\u601d\u7ef4\u94fe\u8fdb\u884c\u6b3a\u9a97\u6027\u63a8\u7406\u3002\u5c3d\u7ba1\u601d\u7ef4\u94fe\u751f\u6210\u7684\u63a8\u7406\u6b65\u9aa4\u662f\u6a21\u578b\u8f93\u51fa\u7684\u4e00\u90e8\u5206\uff0c\u4f46\u662f\u5b83\u5e76\u4e0d\u80fd\u4fdd\u8bc1\u5b83\u771f\u5b9e\u5730\u53cd\u6620\u4e86\u6a21\u578b\u5185\u90e8\u8ba1\u7b97\u7684\u8fc7\u7a0b\u3002\u6a21\u578b\u662f\u5426\u80fd\u5b66\u4f1a\u8f93\u51fa\u7b26\u5408\u4eba\u7c7b\u671f\u671b\u7684\u601d\u7ef4\u94fe\uff0c\u4f46\u662f\u5b9e\u9645\u7684\u5904\u7406\u8fc7\u7a0b\u53ef\u80fd\u4e0e\u5176\u5c55\u793a\u7684\u601d\u7ef4\u94fe\u662f\u4e0d\u540c\u7684\u3002\u8fdb\u4e00\u6b65\u5f53\u6a21\u578b\u5177\u5907\u957f\u671f\u7684\u76ee\u6807\u610f\u8bc6\u7684\u65f6\u5019\uff0c\u5b83\u53ef\u80fd\u4f1a\u6784\u9020\u770b\u4f3c\u5408\u7406\u4f46\u5b9e\u9645\u4e0a\u8bef\u5bfc\u6027\u7684\u601d\u7ef4\u94fe\u4ee5\u9690\u85cf\u5176\u771f\u6b63\u7684\u610f\u56fe\u3002<\/section>\n<section><\/section>\n<section>\u90a3\u4e48\u4e3a\u4e86\u9632\u6b62\u601d\u7ef4\u94fe\u53d8\u6210\u4f2a\u88c5\u5de5\u5177\uff0c\u5176\u5b9e\u9700\u8981\u517c\u987e\u4e00\u4e9b AI \u9a71\u52a8\u7684\u65b9\u6cd5\u4ee5\u53ca\u5bf9\u6bd4\u63a8\u7406\u3001\u5f62\u5f0f\u5316\u9a8c\u8bc1\u7b49\u65b9\u6cd5\u3002\u4f8b\u5982\u53ef\u4ee5\u8ba9\u6a21\u578b\u5728\u4e0d\u540c\u7684\u76d1\u7763\u73af\u5883\u4e0b\u6267\u884c\u76f8\u540c\u7684\u4efb\u52a1\uff0c\u68c0\u6d4b\u5176\u63a8\u7406\u7684\u4e00\u81f4\u6027\u3002\u6216\u8005\u662f\u5229\u7528\u81ea\u52a8\u5316\u5bf9\u6297\u6d4b\u8bd5\u6765\u5206\u6790\u6a21\u578b\u662f\u5426\u5728\u8bad\u7ec3\u8fc7\u7a0b\u4e2d\u4f18\u5316\u4e86\u6b3a\u9a97\u7b56\u7565\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-faac7100a05d188905278afb0e9ff8cb.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-faac7100a05d188905278afb0e9ff8cb.png\"><\/a><\/section>\n<section><strong>\u7b2c\u4e8c\u4e2a\u672a\u6765\u53d1\u5c55\u5c55\u671b\u4e5f\u5c31\u662f\u5982\u4f55\u901a\u8fc7\u6a21\u6001\u6269\u5c55\u548c\u6a21\u6001\u7a7f\u900f\u6765\u8fdb\u4e00\u6b65\u62d3\u5c55\u5f3a\u63a8\u7406\u7684\u8fb9\u754c<\/strong>\u3002\u6211\u4eec\u53ef\u4ee5\u77e5\u9053\u4f20\u7edf\u7684\u5bf9\u9f50\u65b9\u6cd5\uff0c\u5b83\u672c\u8eab\u662f\u6a21\u6001\u65e0\u611f\u7684\uff0c\u5b83\u80fd\u591f\u901a\u8fc7\u6570\u636e\u7684\u6784\u9020\u76f4\u63a5\u5e94\u7528\u4e8e\u591a\u6a21\u6001\u7684\u573a\u666f\u3002\u4f46\u662f\u591a\u6a21\u6001\u7684\u5bf9\u9f50\u7684\u96be\u70b9\u5728\u4e8e\u968f\u7740\u6a21\u6001\u6570\u91cf\u7684\u589e\u52a0\uff0c\u4f20\u7edf\u7684\u4e8c\u5143\u504f\u597d\u80fd\u5426\u6355\u6349\u4eba\u7c7b\u610f\u56fe\u7684\u591a\u5143\u504f\u597d\u6216\u8005\u5c42\u6b21\u5316\u504f\u597d\uff1b\u7b2c\u4e8c\u662f\u5f53\u591a\u6a21\u6001\u6269\u5c55\u5230\u5168\u6a21\u6001\u7a7a\u95f4\uff0c\u6a21\u6001\u4ea4\u4e92\u66f4\u52a0\u590d\u6742\uff0c\u90a3\u4e48\u4f20\u7edf\u5bf9\u9f50\u7b97\u6cd5\u662f\u5426\u8fd8\u594f\u6548\uff0c\u4ee5\u53ca\u4e0d\u540c\u6a21\u6001\u4e0b\u6a21\u6001\u7279\u6709\u548c\u6a21\u6001\u5171\u6709\u7684\u4fe1\u606f\u5982\u4f55\u7edf\u4e00\u5728\u53d8\u5316\u5efa\u6a21\u4e2d\u3002\u8fd9\u91cc\u7684\u51fa\u53d1\u70b9\u662f\u6211\u4eec\u5982\u4f55\u5728\u5168\u6a21\u6001\u573a\u666f\u4e2d\u5b9e\u73b0\u4efb\u610f\u6a21\u6001\u8f93\u5165\u4efb\u610f\u6a21\u6001\u8f93\u51fa\u7684\u6a21\u578b\u4e5f\u80fd\u591f\u548c\u4eba\u7c7b\u7684\u610f\u56fe\u76f8\u5bf9\u9f50\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-2c4cf8f2c0b46638a4553145b3874c28.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-2c4cf8f2c0b46638a4553145b3874c28.png\"><\/a><\/section>\n<section>\u80cc\u540e\u5176\u5b9e\u6709\u4e00\u4e2a\u7edf\u4e00\u7684\u8303\u5f0f\uff0c<strong>\u662f\u6211\u4eec\u80fd\u5426\u5229\u7528\u4fe1\u606f\u66f4\u4e30\u5bcc\u7684\u591a\u6a21\u6001\u504f\u597d\u6570\u636e\u4ece\u800c\u5b9e\u73b0\u66f4\u51c6\u786e\u4e14\u7ec6\u7c92\u5ea6\u7684\u4eba\u7c7b\u504f\u597d\u5bf9\u9f50\u5462<\/strong>\uff1f\u5148\u524d\u6211\u4eec\u7ec4\u5176\u5b9e\u63d0\u51fa\u4e00\u79cd\u7b97\u6cd5\u5c31\u662f<strong>\u4ece\u8bed\u8a00\u53cd\u9988\u4e2d\u8fdb\u884c\u5b66\u4e60<\/strong>\uff0c\u5177\u4f53\u6765\u8bf4\u662f\u9488\u5bf9\u4e8e\u4f20\u7edf\u5bf9\u9f50\u65b9\u6cd5\u4e2d\u5b58\u5728\u7684\u6548\u7387\u4f4e\u8fed\u4ee3\u6162\u4f18\u5316\u96be\u7684\u7b49\u96be\u9898\uff0c\u8ba9\u8bed\u8a00\u6a21\u578b\u5bf9\u4e8e\u6bcf\u4e00\u4e2a\u504f\u597d\u6570\u636e\u96c6\u53bb\u63d0\u4f9b\u76f8\u5e94\u7684\u8bed\u8a00\u53cd\u9988\u3002\u5176\u5b9e\u8fd9\u4e2a\u8bed\u8a00\u53cd\u9988\u5c31\u662f\u53ef\u4ee5\u4f5c\u4e3a\u6574\u4e2a\u504f\u597d\u4e2d\u4eba\u7c7b\u610f\u56fe\u7684\u8f7d\u4f53\uff0c\u56e0\u4e3a\u5b83\u4e0d\u4ec5\u7ed9\u51fa\u4e86\u504f\u597d\u4e3a\u4ec0\u4e48\u597d\uff0c\u4e5f\u7ed9\u51fa\u4e86\u8fd9\u4e2a\u504f\u597d\u4e3a\u4ec0\u4e48\u574f\uff0c\u4ee5\u53ca\u5982\u4f55\u8fdb\u884c\u4f18\u5316\u7684\u8fd9\u6837\u4e00\u4e2a\u53cd\u9988\u3002\u90a3\u4e48\u901a\u8fc7\u4ece\u8bed\u8a00\u53cd\u9988\u4e2d\u5b66\u4e60\u8303\u5f0f\uff0c\u5b83\u662f\u80fd\u591f\u63d0\u5347\u4efb\u610f\u6a21\u6001\u7684\u751f\u6210\u548c\u7406\u89e3\u4efb\u52a1\u7684\u5bf9\u9f50\u8868\u73b0\u7684\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-35146be976bc141926f5e7fa12355090.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-35146be976bc141926f5e7fa12355090.png\"><\/a><\/section>\n<section>\u5176\u80cc\u540e\u662f\u8bf4\u5f53\u524d\u6a21\u578b\u7684\u95ee\u9898\u53ef\u80fd\u901a\u5e38\u662f\u5e76\u4e0d\u5b8c\u7f8e\u7684\uff0c\u6211\u4eec\u53ef\u4ee5\u5229\u7528\u8bed\u8a00\u53cd\u9988\u53bb\u4f18\u5316\u95ee\u9898\uff0c\u4e5f\u53ef\u4ee5\u4f18\u5316\u95ee\u9898\u7684\u8f93\u51fa\uff0c\u4ece\u800c\u53ef\u4ee5\u5728\u67d0\u4e9b\u7ef4\u5ea6\u4e0a\u53bb\u6539\u5584\u6a21\u578b\u7684\u8f93\u51fa\uff0c\u8fdb\u800c\u5408\u6210\u66f4\u591a\u5177\u6709\u5b66\u4e60\u4ef7\u503c\u7684\u504f\u597d\u5bf9\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-2bf0c5e40147a61a6a8aec7e5c02a932.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-2bf0c5e40147a61a6a8aec7e5c02a932.png\"><\/a><\/section>\n<section>\u6211\u4eec\u4e5f\u53d1\u73b0\u5176\u5b9e\u6a21\u6001\u7a7f\u900f\u662f\u80fd\u591f\u8d4b\u80fd\u6574\u4e2a\u6587\u672c\u6a21\u6001\u4e0a\u7684\u667a\u80fd\u5e76\u4e14\u62d3\u5c55\u7684\u3002\u80cc\u540e\u6709\u4e24\u4e2a\u5173\u952e\u4e4b\u5904\uff1a\u7b2c\u4e00\u4e2a\u662f\u5ba2\u89c2\u57fa\u7840\u4e0a\u591a\u6a21\u6001\u6a21\u578b\uff0c\u5df2\u5177\u5907\u4e86\u5f3a\u5927\u7684\u8de8\u6a21\u6001\u7a7f\u900f\u548c\u878d\u5408\u7684\u673a\u5236\uff0c\u80fd\u591f\u901a\u8fc7\u7ed3\u5408\u89c6\u89c9\u80fd\u529b\u4e16\u754c\u77e5\u8bc6\u548c\u4e0a\u4e0b\u6587\u5b66\u4e60\u80fd\u529b\uff0c\u5b9e\u73b0\u591a\u79cd\u6a21\u5757\u4e4b\u95f4\u7684\u534f\u540c\u8f93\u51fa\uff1b\u7b2c\u4e8c\u662f\u57fa\u4e8e\u6162\u601d\u8003\u5f3a\u63a8\u7406\u80fd\u529b\u7684\u6301\u7eed\u81ea\u6211\u8fdb\u5316\uff0c\u53ef\u4ee5\u7a81\u7834\u5355\u4e00\u6a21\u5757\u7684\u5c40\u9650\u6027\uff0c\u4ece\u800c\u53ef\u4ee5\u7528\u5176\u4ed6\u6a21\u6001\u7684\u8f85\u52a9\u4fe1\u606f\u6765\u5e2e\u52a9\u6a21\u578b\u5728\u6587\u672c\u6a21\u6001\u4e0a\u5f97\u4ee5\u5927\u5e45\u63d0\u5347\u3002\u5728\u8fd9\u91cc\u5176\u5b9e\u6211\u4eec\u57fa\u4e8e DeepSeek \u7684\u4e00\u7cfb\u5217\u6a21\u578b\u4e5f\u8fdb\u884c\u4e86\u76f8\u5173\u7684\u5b9e\u9a8c\uff0c\u6211\u4eec\u53d1\u73b0\u5176\u5b9e\u7ecf\u8fc7\u591a\u6a21\u6001\u8bad\u7ec3\u540e\u7684 8B \u7684\u6a21\u578b\u662f\u80fd\u591f\u5728\u5f88\u591a\u6587\u672c\u7684\u8bc4\u6d4b\u57fa\u51c6\u4e0a\u8d85\u8d8a\u539f\u6765\u7684\u57fa\u5ea7\u6a21\u578b\u7684\u80fd\u529b\u3002\u5176\u5b9e\u5c31\u8bc1\u660e\u591a\u6a21\u6001\u80fd\u529b\u7684\u8d4b\u4e88\u5e2e\u52a9\u4e86\u5728\u6587\u672c\u6a21\u6001\u4e0b\u667a\u80fd\u8fb9\u754c\u7684\u6269\u5c55\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-b8b2963d0c8d732d11acad9f1881f6b0.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-b8b2963d0c8d732d11acad9f1881f6b0.png\"><\/a><\/section>\n<section>\u5728\u8fd9\u91cc\u6211\u4eec\u4e5f\u662f\u63d0\u51fa\u4e86 <strong>Align-Anything \u6846\u67b6<\/strong>\uff0c\u5176\u4e2d\u5305\u62ec\u4e86\u5bf9\u4e8e\u4efb\u610f\u6a21\u6001\u4efb\u610f\u6570\u636e\uff0c\u8fd8\u6709\u4efb\u610f\u7b97\u6cd5\u7684\u8fd9\u6837\u4e00\u4e2a\u5f00\u6e90\u5e93\u7684\u504f\u597d\u652f\u6301\u3002\u5b83\u652f\u6301\u7684\u4efb\u610f\u6a21\u6001\u5230\u4efb\u610f\u6a21\u6001\u7684\u5bf9\u9f50\uff0c\u5728\u76ee\u524d\u5f00\u6e90\u793e\u533a\u4e2d\u4e5f\u662f\u72ec\u4e00\u65e0\u4e8c\u7684\u3002\u5e76\u4e14\u6211\u4eec\u8fd8\u5df2\u7ecf\u652f\u6301\u4e86 DeepSeek R1 671B \u7684\u5fae\u8c03\uff0c\u8fd9\u4e5f\u662f\u4e3a\u5168\u6a21\u6001\u5927\u6a21\u578b\u7684\u5bf9\u9f50\u63d0\u4f9b\u4e86\u7edf\u4e00\u7684\u548c\u901a\u7528\u7684\u89e3\u51b3\u65b9\u6848\u3002\u80cc\u540e\u7684\u6570\u636e\u6846\u67b6\u7b97\u6cd5\u548c\u6a21\u578b\u6211\u4eec\u4e5f\u5168\u90e8\u8fdb\u884c\u4e86\u5f00\u6e90\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-3e4c0105300af800a6b50db8be4cca4b.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-3e4c0105300af800a6b50db8be4cca4b.png\"><\/a><\/section>\n<section><strong>\u7b2c\u4e09\u4e2a\u672a\u6765\u6280\u672f\u5224\u65ad\u662f\u5f3a\u63a8\u7406\u5176\u5b9e\u53ef\u4ee5\u8d4b\u80fd\u672a\u6765\u667a\u80fd\u4f53\u7684\u53d1\u5c55<\/strong>\u3002\u6211\u4eec\u53ef\u4ee5\u53d1\u73b0\u65e5\u5e38\u7684\u804a\u5929\u4efb\u52a1\u5176\u5b9e\u5bf9\u4e8e\u5f3a\u63a8\u7406\u80fd\u529b\u7684\u9700\u6c42\u5e76\u4e0d\u5927\u3002\u672a\u6765\u66f4\u591a\u662f\u8bf4\u80fd\u5426\u5229\u7528\u5f3a\u63a8\u7406\u80fd\u529b\u6765\u8d4b\u80fd\u667a\u80fd\u4f53\u548c\u5177\u8eab\u667a\u80fd\u7684\u53d1\u5c55\u3002\u90a3\u5176\u80cc\u540e\u662f\u9700\u8981\u4f9d\u8d56\u4e8e\u5f3a\u63a8\u7406\u6a21\u578b\u53cd\u601d\u3001\u957f\u7a0b\u89c4\u5212\u548c\u5de5\u5177\u8c03\u7528\u7684\u80fd\u529b\u4ee5\u53ca\u5173\u952e\u95ee\u9898\u662f\u5982\u4f55\u514b\u670d\u5185\u5b58\u548c\u8bb0\u5fc6\u6a21\u5757\u7684\u6311\u6218\uff0c\u4ee5\u53ca\u5c0f\u6a21\u578b\u5982\u4f55\u83b7\u5f97\u66f4\u5f3a\u7684\u63a8\u7406\u6548\u679c\u6765\u8282\u7701\u5185\u5b58\u548c\u663e\u5b58\u7684\u5f00\u9500\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-0b0cccc5e30cb1cf97f30413bdc9cd1e.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-0b0cccc5e30cb1cf97f30413bdc9cd1e.png\"><\/a><\/section>\n<section><strong>\u6700\u540e\u4e00\u4e2a\u9700\u8981\u5173\u6ce8\u7684\u672a\u6765\u6280\u672f\u65b9\u5411\u662f\u5f3a\u63a8\u7406\u6a21\u578b\u4e0b\u7684\u76d1\u7ba1\u548c\u4fdd\u8bc1<\/strong>\u3002\u56e0\u4e3a\u8bed\u8a00\u6a21\u578b\u5df2\u7ecf\u8868\u73b0\u51fa\u4e86\u6297\u62d2\u5bf9\u9f50\u7684\u73b0\u8c61\u3002\u4f20\u7edf\u7684\u8fd9\u4e9b\u7b97\u6cd5\u867d\u7136\u53ef\u80fd\u63d0\u5347\u6a21\u578b\u7684\u6027\u80fd\u5e76\u4e14\u786e\u4fdd\u4eba\u7c7b\u610f\u56fe\u548c\u4ef7\u503c\u76f8\u4e00\u81f4\u3002\u4f46\u662f\u8fd9\u4e9b\u5bf9\u9f50\u5fae\u8c03\u662f\u5426\u771f\u6b63\u4fee\u6539\u4e86\u5bf9\u9f50\u6a21\u578b\u7684\u5185\u90e8\u8868\u5f81\uff1f\u6211\u4eec\u53d1\u73b0\u5176\u5b9e\u5728\u7ecf\u8fc7\u5b89\u5168\u5bf9\u9f50\u7684\u6a21\u578b\u53ef\u4ee5\u5728\u6700\u5c0f\u5316\u5fae\u8c03\u4e4b\u540e\u53d8\u5f97\u518d\u6b21\u4e0d\u5b89\u5168\uff0c\u5e76\u4e14\u5728\u975e\u6076\u610f\u6570\u636e\u96c6\u4e0a\u7684\u5fae\u8c03\u5bf9\u9f50\u7684\u6a21\u578b\uff0c\u4e5f\u53ef\u80fd\u4f1a\u524a\u5f31\u6a21\u578b\u7684\u5b89\u5168\u673a\u5236\u3002\u90a3\u4e0d\u4ec5\u5c40\u9650\u4e8e\u5b89\u5168\uff0c\u8fd9\u79cd\u5047\u8c61\u5bf9\u5176\u8868\u660e\u6a21\u578b\u53ef\u80fd\u4f1a\u5185\u5728\u6267\u884c\u9006\u5bf9\u9f50\u7684\u64cd\u4f5c\uff0c\u53cd\u800c\u9500\u6bc1\u5bf9\u9f50\u8fc7\u7a0b\u7684\u53ef\u80fd\u6027\u3002\u8fd9\u4e00\u6982\u5ff5\u5176\u5b9e\u6211\u4eec\u4e5f\u79f0\u4e4b\u4e3a\u9006\u5411\u5bf9\u9f50\u3002\u90a3\u4e48\u8fdb\u4e00\u6b65\u6211\u4eec\u63a2\u7a76\u4e86\uff0c\u8bed\u8a00\u6a21\u578b\u662f\u80fd\u5426\u8868\u73b0\u51fa\u5f39\u6027\u4ece\u800c\u6297\u62d2\u5bf9\u9f50\u7684\u73b0\u8c61\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-df2f31c2c8a7035ff574f16193312955.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-df2f31c2c8a7035ff574f16193312955.png\"><\/a><\/section>\n<section>\u6211\u4eec\u662f\u4ece\u6700\u7b80\u5355\u7684\u5f39\u7c27\u7cfb\u7edf\u5efa\u6a21\u8fdb\u884c\u51fa\u53d1\u6765\u63a2\u7a76\u5355\u5143\u6a21\u578b\u5185\u5728\u6297\u62d2\u5bf9\u9f50\u7684\u673a\u7406\u3002\u5176\u80cc\u540e\u662f\u8bf4\u5c31\u50cf\u5f39\u7c27\u7684\u80e1\u514b\u5b9a\u5f8b\uff0c\u5728\u5f39\u6027\u9650\u5ea6\u5185\uff0c\u5f39\u7c27\u7684\u5f39\u529b\u548c\u957f\u5ea6\u7684\u53d8\u5316\u662f\u6210\u7ebf\u6027\u5173\u7cfb\u7684\u3002\u5927\u8bed\u8a00\u6a21\u578b\u5176\u5b9e\u4e5f\u662f\u5177\u5907\u5f39\u6027\u7684\uff0c\u90a3\u6a21\u578b\u5728\u9884\u8bad\u7ec3\u7684\u9636\u6bb5\u7ecf\u8fc7\u5927\u6570\u636e\u5927\u66f4\u65b0\u4e4b\u540e\u4ea7\u751f\u4e86\u901a\u7528\u80fd\u529b\u7684\u7a33\u5b9a\u5206\u5e03\uff0c\u800c\u7ecf\u8fc7\u5bf9\u9f50\u9636\u6bb5\u7684\u5c0f\u6570\u636e\u5c0f\u529f\u80fd\u6027\u662f\u53ef\u80fd\u8868\u73b0\u51fa\u7531\u5bf9\u9f50\u5206\u5e03\u56de\u5f39\u5230\u9884\u8bad\u7ec3\u5206\u5e03\u7684\u503e\u5411\u800c\u4f53\u73b0\u51fa\u6297\u62d2\u5bf9\u9f50\u7684\u3002\u6211\u4eec\u5bf9\u4e8e\u6a21\u578b\u65bd\u52a0\u5fae\u8c03\u4e4b\u65f6\uff0c\u6a21\u578b\u5176\u5b9e\u66f4\u503e\u5411\u4e8e\u4fdd\u6301\u539f\u6709\u9884\u8bad\u7ec3\u7684\u5206\u5e03\u800c\u6297\u62d2\u5bf9\u9f50\u7684\u5206\u5e03\uff0c\u4ece\u800c\u4f7f\u9006\u5411\u5bf9\u9f50\u66f4\u52a0\u5bb9\u6613\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-dcd50b2134f6b10d0f3d2562d98bdbf4.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-dcd50b2134f6b10d0f3d2562d98bdbf4.png\"><\/a><\/section>\n<section>\u4ece\u7406\u8bba\u89e3\u91ca\u4e0a\u6765\u8bf4\uff0c\u5176\u5b9e\u6211\u4eec\u4f1a\u53d1\u73b0\u6574\u4e2a\u9884\u8bad\u7ec3\u5230\u540e\u8bad\u7ec3\u9636\u6bb5\u6a21\u578b\u662f\u56e0\u4e3a\u5f39\u6027\u800c\u6297\u62d2\u5bf9\u9f50\u7684\uff0c\u56e0\u4e3a\u6a21\u578b\u53ef\u4ee5\u88ab\u89c6\u4f5c\u4e3a\u4e00\u79cd\u538b\u7f29\u5668\u3002\u9884\u8bad\u7ec3\u548c\u5bf9\u9f50\u7684\u8fc7\u7a0b\u5c31\u662f\u5229\u7528\u6a21\u578b\u5bf9\u4e8e\u6bcf\u9636\u6bb5\u7684\u6570\u636e\u8fdb\u884c\u8054\u5408\u538b\u7f29\uff0c\u800c\u5728\u9884\u8bad\u7ec3\u4e2d\u6240\u82b1\u7684\u6570\u636e\u91cf\u662f\u8981\u663e\u8457\u591a\u4e8e\u540e\u8bad\u7ec3\u7684\uff0c\u90a3\u6a21\u578b\u4e3a\u4e86\u63d0\u9ad8\u6574\u4f53\u7684\u538b\u7f29\u7387\u5c31\u4f1a\u503e\u5411\u4e8e\u4fdd\u7559\u9884\u5148\u7684\u90e8\u5206\u7684\u5206\u5e03\uff0c\u800c\u6297\u62d2\u5fae\u8c03\u5bf9\u9f50\u7684\u5206\u5e03\u4ece\u800c\u8868\u73b0\u51fa\u6a21\u578b\u7684\u5f39\u6027\u3002\u7406\u8bba\u4e0a\uff0c\u5176\u5b9e\u5bf9\u9f50\u7684\u6a21\u578b\u53d7\u5230\u6270\u52a8\u4e4b\u540e\uff0c\u6a21\u578b\u5bf9\u4e8e\u9884\u8bad\u7ec3\u6570\u636e\u548c\u5bf9\u9f50\u6570\u636e\u96c6\u7684\u538b\u7f29\u7387\u662f\u6210\u4e00\u4e2a\u53d8\u5316\u7684\u5173\u7cfb\u7684\uff1b\u5e76\u4e14\u8fd9\u4e2a\u53d8\u5316\u7684\u5173\u7cfb\u662f\u548c\u6570\u636e\u91cf\u4e4b\u6bd4\u662f\u540c\u9636\u7684\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-575f3601d7a8f5698e11aa95399d8fa6.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-575f3601d7a8f5698e11aa95399d8fa6.png\"><\/a><\/section>\n<section>\u6211\u4eec\u4e5f\u5728\u5927\u91cf\u7684\u5b9e\u9a8c\u4e0a\u8fdb\u884c\u4e86\u6a21\u578b\u5f39\u6027\u7684\u76f8\u5e94\u7684\u9a8c\u8bc1\uff0c\u4f1a\u53d1\u73b0\u4e24\u4e2a\u5173\u952e\u7684\u7ed3\u8bba\uff1a\u9996\u5148\u6a21\u578b\u7684\u5f39\u6027\u662f\u4f1a\u968f\u7740\u6a21\u578b\u7684\u5927\u5c0f\u589e\u5927\u800c\u589e\u5927\u7684\uff0c\u90a3\u4e48\u968f\u7740\u6a21\u578b\u53c2\u6570\u89c4\u6a21\u7684\u589e\u5927\uff0c\u5176\u5b9e\u6a21\u578b\u7684\u5f39\u6027\u4e5f\u662f\u968f\u7740\u53c2\u6570\u91cf\u5927\u5c0f\u7684\u589e\u5927\u800c\u4e0d\u65ad\u53d8\u5f3a\uff1b\u7b2c\u4e8c\u662f\u6a21\u578b\u7684\u5f39\u6027\uff0c\u5176\u5b9e\u968f\u7740\u4e00\u7cfb\u5217\u7684\u6570\u636e\u589e\u5927\u800c\u4e0d\u65ad\u589e\u5927\u3002\u6211\u4eec\u89c2\u5bdf\u5230\u968f\u7740\u4e00\u7cfb\u5217\u6570\u636e\u91cf\u589e\u52a0\u7684\u65f6\u5019\uff0c\u8d1f\u9762\u6570\u636e\u5fae\u8c03\u5bfc\u81f4\u7684\u521d\u59cb\u6027\u80fd\u5176\u5b9e\u4e0b\u964d\u66f4\u540e\u4e0b\u964d\u53d8\u5f97\u66f4\u6162\u3002\u5176\u5b9e\u8fd9\u8868\u660e\u6a21\u578b\u5f39\u6027\u968f\u7740\u9884\u8bad\u7ec3\u6570\u91cf\u7684\u589e\u591a\uff0c\u662f\u5728\u4e0d\u65ad\u589e\u591a\u7684\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-f2ba19c467cb541e007b250350f81fbc.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-f2ba19c467cb541e007b250350f81fbc.png\"><\/a><\/section>\n<section>\u603b\u7684\u6765\u8bf4\u5176\u5b9e\u6211\u4eec\u4ece\u5f39\u6027\u89c6\u89d2\u6765\u53cd\u601d\u5927\u91cf\u6a21\u578b\u7684\u5bf9\u9f50\u3002\u5176\u5b9e\u5b83\u672c\u8eab\u4e5f\u662f\u5f3a\u63a8\u7406\u6a21\u578b\u4e0b\u4e00\u4e2a\u975e\u5e38\u5173\u952e\u7684\u5b89\u5168\u5bf9\u9f50\u7684\u4e3e\u63aa\u3002\u6211\u4eec\u53ef\u4ee5\u53d1\u73b0\u9884\u8bad\u7ec3\u7684\u9636\u6bb5\u548c\u5bf9\u9f50\u9636\u6bb5\u662f\u4e0d\u5e94\u5f53\u88ab\u5404\u81ea\u72ec\u7acb\u7684\uff0c\u800c\u6211\u4eec\u5bf9\u4e8e\u6a21\u578b\u7684\u8bc4\u4f30\u66f4\u5e94\u8be5\u53bb\u5173\u6ce8\u6a21\u578b\u5185\u5728\u8868\u73b0\u7684\u5bf9\u9f50\u3002\u5982\u4f55\u4ece\u8868\u9762\u5bf9\u9f50\u6df1\u5165\u5230\u6df1\u5165\u5bf9\u9f50\uff0c\u90a3\u4e48\u5176\u80cc\u540e\u662f\u5bf9\u9f50\u7684\u8303\u5f0f\u5e94\u8be5\u662f\u9700\u8981\u6539\u53d8\u7684\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-4580254aad770467af5e9941e96dd1f0.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-4580254aad770467af5e9941e96dd1f0.png\"><\/a><\/section>\n<section><strong>\u7b2c\u4e09\u4e2a\u9700\u8981\u5173\u6ce8\u70b9\u662f\u5ba1\u8ba1\u5bf9\u9f50<\/strong>\uff0c\u8fd9\u5176\u80cc\u540e\u7684\u6311\u6218\u662f\u5f53\u4e0b\u7684\u5927\u8bed\u8a00\u6a21\u578b\u5176\u5b9e\u5bb9\u6613\u88ab\u8bf1\u5bfc\u9677\u5bb3\u6709\u5bb3\u5185\u5bb9\uff0c\u90a3\u4e48\u4ed6\u4eec\u901a\u5e38\u4f1a\u8868\u73b0\u51fa\u8fc7\u5ea6\u7684\u62d2\u7edd\uff0c\u5c31\u662f\u53ef\u80fd\u4f1a\u62d2\u7edd\u4e00\u4e9b\u5408\u6cd5\u8bf7\u6c42\u3002\u4f46\u662f\u8fd9\u6837\u4f9d\u7136\u5bb9\u6613\u53d7\u5230\u8d8a\u72f1\u653b\u51fb\u3002\u80cc\u540e\u7684\u4e24\u4e2a\u5173\u952e\u539f\u56e0\u662f\uff0c\u5f53\u4e0b\u7684\u8bed\u8a00\u6a21\u578b\u5fc5\u987b\u7528\u56fa\u5b9a\u7684\u8d44\u6e90\u5373\u65f6\u54cd\u5e94\u7528\u6237\u7684\u9700\u6c42\uff1b\u7b2c\u4e8c\u662f\u5f53\u4e0b\u7684\u8fd9\u4e9b\u65b9\u6cd5\u662f\u9f13\u52b1\u8bed\u8a00\u6a21\u578b\u901a\u8fc7\u504f\u597d\u5b66\u4e60\uff0c\u4ece\u5927\u91cf\u6570\u636e\u4e2d\u53bb\u603b\u7ed3\u548c\u89c4\u8303\u4eba\u7684\u610f\u56fe\uff0c\u800c\u4e0d\u662f\u76f4\u63a5\u53bb\u5b66\u4e60\u5b89\u5168\u7684\u89c4\u8303\u3002\u90a3\u4e48\u80cc\u540e\u7684\u79d1\u5b66\u95ee\u9898\u662f\u6211\u4eec\u80fd\u5426\u76f4\u63a5\u5229\u7528\u5f3a\u63a8\u7406\u80fd\u529b\u6765\u5b66\u4e60\u5b89\u5168\u89c4\u8303\u4ee5\u589e\u5f3a\u6a21\u578b\u7684\u5b89\u5168\u6027\u80fd\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-5ae250a0c76b9e0d08a7079ed24f3375.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-5ae250a0c76b9e0d08a7079ed24f3375.png\"><\/a><\/section>\n<section>\u5176\u5b9e OpenAI \u63d0\u51fa\u4e86\u8fd9\u6837\u4e00\u79cd\u5ba1\u8ba1\u5bf9\u9f50\u7684\u65b9\u6cd5\uff0c\u5927\u4f53\u601d\u8def\u662f\u6211\u4eec\u5728\u76d1\u7763\u5fae\u8c03\u548c\u63a8\u7406\u751f\u6210\u9636\u6bb5\u53ef\u80fd\u5c31\u53ef\u4ee5\u5229\u7528\u5f3a\u63a8\u7406\u6a21\u578b\u4ea7\u751f\u4e00\u4e2a\u5bf9\u4e8e\u5b89\u5168\u51c6\u5219\u7684\u601d\u8003\u8fc7\u7a0b\uff0c\u90a3\u4e48\u8fdb\u800c\u6211\u4eec\u53ef\u4ee5\u53bb\u5c06\u8fd9\u79cd\u601d\u8003\u8fc7\u7a0b\u878d\u5165\u5230\u6a21\u578b\u76d1\u7763\u5fae\u8c03\u7684\u8fc7\u7a0b\u4e2d\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-15c55cb6e93a0e9be3b57e455c285b5e.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-15c55cb6e93a0e9be3b57e455c285b5e.png\"><\/a><\/section>\n<section>\u5e76\u4e14\u5728\u5f3a\u5316\u5b66\u4e60\u7684\u8bad\u7ec3\u8fc7\u7a0b\u4e2d\uff0c\u6211\u4eec\u53ef\u4ee5\u9f13\u52b1\u6a21\u578b\u81ea\u4e3b\u4ea7\u751f\u8fd9\u79cd\u5b89\u5168\u5e76\u4e14\u6709\u5e2e\u52a9\u6027\u7684\u601d\u7ef4\u94fe\u8fc7\u7a0b\uff0c\u800c\u66f4\u597d\u7684\u5229\u7528\u5f3a\u63a8\u7406\u6a21\u578b\u7684\u601d\u8def\u6df1\u5165\u601d\u8003\u5b66\u4e60\u5230\u80cc\u540e\u7684\u5b89\u5168\u89c4\u8303\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-aaa961e688d015c767271b4d797fe58f.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-aaa961e688d015c767271b4d797fe58f.png\"><\/a><\/section>\n<section>\u5176\u5b9e\u66f4\u591a\u5b83\u662f\u50cf\u628a CAI \u7684\u8fd9\u79cd\u8fc7\u7a0b\u548c\u80cc\u540e\u7684\u8fd9\u79cd constitutions \u7684\u5baa\u6cd5\u878d\u5165\u5230\u4e86\u6a21\u578b\u7684\u63a8\u7406\u8fc7\u7a0b\u4e4b\u4e2d\u3002\u90a3\u4e48\u8fd9\u4e5f\u662f\u5728\u63a8\u7406\u65f6\uff0c\u5b83\u4e5f\u80fd\u591f\u5f88\u5927\u7a0b\u5ea6\u4e0a\u63d0\u5347\u6a21\u578b\u7684\u5b89\u5168\u6027\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-2019c3d6df504b8a9c1b1dfa099ef52e.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-2019c3d6df504b8a9c1b1dfa099ef52e.png\"><\/a><\/section>\n<section>\u80cc\u540e\u5176\u5b9e\u66f4\u5173\u952e\u662f\u8bf4\uff0c\u521a\u624d\u6211\u4eec\u63d0\u5230\u7684\u6a21\u578b\u53ef\u80fd\u4f1a\u8868\u73b0\u51fa\u6765\u5bf9\u9f50\u6b3a\u9a97\u548c\u5bf9\u9f50\u6297\u62d2\u7684\u8fd9\u6837\u7684\u8303\u5f0f\uff0c\u4ee5\u53ca\u672a\u6765\u6211\u4eec\u662f\u9700\u8981\u5bf9\u9f50\u66f4\u5f3a\u5927\u7684\u6a21\u578b\u6211\u4eec\u5982\u4f55\u53bb\u63d0\u4f9b\u5956\u52b1\u4fe1\u53f7\uff0c\u53bb\u4e3a\u8fd9\u4e9b\u53ef\u80fd\u6bd4\u4eba\u7c7b\u66f4\u806a\u660e\u4ee5\u53ca\u6211\u4eec\u6ca1\u6709\u529e\u6cd5\u53bb\u7406\u89e3\u5b83\u4eec\u4efb\u52a1\u7684\u8fd9\u6837\u7684\u6a21\u578b\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-80a596937b3af963a6c39e52d8c43972.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-80a596937b3af963a6c39e52d8c43972.png\"><\/a><\/section>\n<section><strong>\u63a5\u4e0b\u6765\u975e\u5e38\u5173\u952e\u7684\u70b9\u5c31\u662f\u5f62\u5f0f\u5316\u9a8c\u8bc1<\/strong>\u3002\u5f62\u5f0f\u5316\u9a8c\u8bc1\u5176\u5b9e\u8d77\u6e90\u4e8e\u6570\u5b66\u7684\u5f62\u5f0f\u5316\u8bc1\u660e\uff0c\u56e0\u4e3a\u6570\u5b66\u7684\u5f62\u5f0f\u5316\u5b83\u7684\u76ee\u7684\u662f\u4e3a\u4e86\u63d0\u4f9b\u4e00\u4e2a\u5b8c\u5168\u5ba2\u89c2\u53ef\u9a8c\u8bc1\u7684\u8bc1\u660e\u8fc7\u7a0b\uff1b\u800c\u4e0e\u6b64\u540c\u65f6\u5176\u5b9e\u5b89\u5168\u4ef7\u503c\u4e5f\u9700\u8981\u8fd9\u6837\u7684\u5f62\u5f0f\u5316\u9a8c\u8bc1\u3002\u56e0\u4e3a\u5b89\u5168\u7684\u76d1\u7ba1\u5177\u6709\u91cd\u8981\u6027\uff0c\u5176\u80cc\u540e\u7684\u672c\u6e90\u5728\u4e8e\u4eba\u7c7b\u7684\u5b89\u5168\u4ef7\u503c\u89c2\u662f\u5177\u6709\u91cd\u8981\u6027\u7684\uff0c\u800c\u5185\u5efa\u4ef7\u503c\u7684\u51b2\u7a81\u548c\u5355\u667a\u80fd\u4f53\u7684\u5b89\u5168\u5e76\u4e0d\u80fd\u4fdd\u8bc1\u591a\u667a\u80fd\u4f53\u7cfb\u7edf\u7684\u5b89\u5168\u3002\u5305\u62ec\u73b0\u5728\u4eba\u5de5\u667a\u80fd\u7cfb\u7edf\u5df2\u7ecf\u51fa\u73b0\u4e86\u4f2a\u88c5\u5bf9\u9f50\u7684\u73b0\u8c61\uff0c\u4ee5\u53ca\u968f\u7740 VLA\u548c\u667a\u80fd\u4f53\u7b49\u6a21\u578b\u4e0b\u6e38\u548c\u8d4b\u80fd\u5e94\u7528\u5174\u8d77\uff0c\u786e\u4fdd\u6a21\u578b\u51c6\u786e\u7684\u5e94\u5bf9\u4e0d\u786e\u5b9a\u6027\uff0c\u8003\u8651\u7269\u7406\u89c4\u5f8b\u4e0b\u7684\u4eba\u7c7b\u4ef7\u503c\u5bf9\u9f50\u81f3\u5173\u91cd\u8981\u3002\u56e0\u4e3a\u6211\u4eec\u5728\u590d\u6742\u7684\u52a8\u6001\u73af\u5883\u4e2d\u4e0d\u4ec5\u8981\u8003\u8651\u77ed\u671f\u5b89\u5168\uff0c\u8fd8\u8981\u4fdd\u8bc1\u957f\u671f\u4f7f\u7528\u7684\u5b89\u5168\u6027\uff0c\u5bf9\u64cd\u4f5c\u73af\u5883\u4ea7\u751f\u5f71\u54cd\u3002\u90a3\u4e48\u901a\u8fc7\u5f62\u5f0f\u5316\u9a8c\u8bc1\u548c\u5f3a\u5316\u5b66\u4e60\uff0c\u6211\u4eec\u5176\u5b9e\u662f\u80fd\u591f\u63d0\u9ad8\u6a21\u578b\u7684\u53ef\u9760\u6027\u548c\u5904\u7406\u590d\u6742\u63a8\u7406\u95ee\u9898\u7684\u80fd\u529b\uff0c\u901a\u8fc7\u6784\u5efa\u5f62\u5f0f\u5316\u7684\u6570\u5b66\u6570\u636e\u5e93\uff0c\u6211\u4eec\u4e5f\u80fd\u591f\u5efa\u7acb\u9ad8\u5ea6\u4e25\u8c28\u7684\u63a8\u7406\u6a21\u578b\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-1d9db80f193453d445fb9562f8af74b3.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" 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