{"id":4557,"date":"2025-02-10T16:58:15","date_gmt":"2025-02-10T08:58:15","guid":{"rendered":"http:\/\/www.sniper97.cn\/?p=4557"},"modified":"2025-04-01T17:03:14","modified_gmt":"2025-04-01T09:03:14","slug":"%e3%80%90%e5%bc%ba%e5%8c%96%e5%ad%a6%e4%b9%a0%e3%80%91%e6%8e%a8%e7%90%86%e5%a4%a7%e6%a8%a1%e5%9e%8b%ef%bc%9adeepseek-r1-%e8%a7%a3%e8%af%bb%e4%b8%8e%e5%a4%8d%e7%8e%b0","status":"publish","type":"post","link":"http:\/\/www.sniper97.cn\/index.php\/note\/deep-learning\/note-deep-learning\/rl\/4557\/","title":{"rendered":"\u3010\u5f3a\u5316\u5b66\u4e60\u3011\u63a8\u7406\u5927\u6a21\u578b\uff1aDeepSeek-R1 \u89e3\u8bfb\u4e0e\u590d\u73b0"},"content":{"rendered":"\n<h1 class=\"wp-block-heading\" id=\"MpYnC\">\u6458\u8981<\/h1>\n\n\n\n<ul>\n<li><strong>DeepSeek-R1 \u76f8\u5173\u8c03\u7814<\/strong><\/li>\n<\/ul>\n\n\n\n<p id=\"uc086632a\">(Scaling Test-Time Compute\/Human-like Long Thought o1, R1\/RL)<\/p>\n\n\n\n<ul>\n<li><strong>R1 \u590d\u73b0\u5de5\u4f5c\uff08\u4e1a\u754c\u548c\u6211\u4eec\uff09<\/strong><\/li>\n<\/ul>\n\n\n\n<p id=\"u7acc055d\">(SFT\/DPO\/PPO, Open-Ended Solution e.g. Marco-MT\/ \u5f62\u5f0f\u4e3b\u4e49\u7684\u957f\u601d\u8003\/Aha v.s Sad)<\/p>\n\n\n\n<h1 class=\"wp-block-heading\" id=\"h4Xk5\">DeepSeek-R1 \u76f8\u5173\u8c03\u7814<\/h1>\n\n\n\n<p id=\"ucfa71e9f\">DeepSeek \u5206\u4e3a\u4e86Zero\u548cR1\u4e24\u4e2a\u7248\u672c\u3002<strong>DeepSeek-R1-Zero<\/strong>\uff08\u7b80\u79f0 Zero\uff09\u4e0e <strong>DeepSeek-R1<\/strong>\uff08\u7b80\u79f0 R1\uff09\u3002<\/p>\n\n\n\n<ul>\n<li><strong>DeepSeek-R1-Zero<\/strong>\uff1a\u76f4\u63a5\u4ece\u57fa\u5ea7\u6a21\u578b\uff08base model\uff09\u5f00\u59cb\uff0c\u5229\u7528\u5927\u89c4\u6a21\u5f3a\u5316\u5b66\u4e60\uff08RL\uff09\u8fdb\u884c\u8bad\u7ec3\uff1b<\/li>\n\n\n\n<li><strong>DeepSeek-R1<\/strong>\uff1a\u5728\u57fa\u5ea7\u6a21\u578b\u4e0a\u5148\u8fdb\u884c\u5c0f\u89c4\u6a21\u7684\u76d1\u7763\u5fae\u8c03\uff08SFT\uff09\uff0c\u518d\u8fdb\u884c\u591a\u8f6e\u5f3a\u5316\u5b66\u4e60\u4e0e\u518d\u5fae\u8c03\uff0c\u6700\u7ec8\u83b7\u5f97\u66f4\u597d\u7684\u53ef\u8bfb\u6027\u4e0e\u901a\u7528\u80fd\u529b\u3002<\/li>\n<\/ul>\n\n\n\n<h1 class=\"wp-block-heading\" id=\"PLyG0\">\u6a21\u578b\u4ecb\u7ecd<\/h1>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"DjGro\">DeepSeek-R1-Zero<\/h2>\n\n\n\n<p id=\"ua3267719\">zero\u662f\u5728DeepSeek-V3-Base\u7684\u57fa\u7840\u4e0a\uff0c\u76f4\u63a5\u8fdb\u884c\u7ea68000\u6b65RL\uff08GRPO\uff09\u5f97\u5230\u7684\u3002<\/p>\n\n\n\n<ul>\n<li><strong>GRPO\uff08Group Relative Policy Optimization\uff09<\/strong> \u662f DeepSeek \u56e2\u961f\u63d0\u51fa\u7684\u4e00\u79cd\u9ad8\u6548\u66ff\u4ee3\u4f20\u7edf PPO \u7684\u5f3a\u5316\u5b66\u4e60\u7b97\u6cd5\uff0c\u80fd\u591f\u8282\u7701\u4e00\u4e2a\u548c\u7b56\u7565\u6a21\u578b\u7b49\u89c4\u6a21\u7684\u4ef7\u503c\u51fd\u6570\u6a21\u578b\uff0c\u4ece\u800c\u66f4\u597d\u5730\u8282\u7701\u663e\u5b58\u4e0e\u8ba1\u7b97\u8d44\u6e90\uff1b<\/li>\n\n\n\n<li>\u8bad\u7ec3\u65f6\u4e3b\u8981\u9488\u5bf9\u6570\u5b66\u3001\u7f16\u7a0b\u4e0e\u903b\u8f91\u63a8\u7406\u7b49\u6613\u4e8e\u901a\u8fc7\u81ea\u52a8\u9a8c\u8bc1\u65b9\u5f0f\u8fdb\u884c\u5956\u52b1\u8ba1\u7b97\u7684\u4efb\u52a1\u3002\u4f8b\u5982\uff0c\u5bf9\u4e8e\u6570\u5b66\u9898\uff0c\u4f1a\u7528\u5339\u914d\u7b54\u6848\u6216\u68c0\u6d4b\u6b63\u786e\u7ed3\u679c\u7684\u65b9\u5f0f\u63d0\u4f9b\u5956\u52b1\uff1b\u5bf9\u4e8e\u4ee3\u7801\u9898\uff0c\u4f1a\u8c03\u7528\u7f16\u8bd1\u5668\u6216\u6d4b\u8bd5\u7528\u4f8b\u8fdb\u884c\u9a8c\u8bc1\u3002\u6a21\u578b\u82e5\u80fd\u8f93\u51fa\u6b63\u786e\u89e3\uff0c\u5219\u83b7\u5f97\u6b63\u5956\u52b1\uff1b\u82e5\u672a\u6b63\u786e\u8f93\u51fa\u6216\u683c\u5f0f\u4e0d\u7b26\uff0c\u5219\u83b7\u5f97\u8d1f\u5956\u52b1\u6216\u8f83\u4f4e\u5956\u52b1\u3002<\/li>\n<\/ul>\n\n\n\n<p id=\"u8c7d2ab8\">\u7ecf\u8fc7\u4e0a\u8ff0\u7ea6 8000 \u6b65 RL \u66f4\u65b0\uff0cZero \u5728\u4e00\u4e9b\u5173\u952e\u63a8\u7406\u57fa\u51c6\u4e0a\u53d6\u5f97\u4e86\u660e\u663e\u589e\u76ca\u3002\u5176\u4e2d\u4e00\u4e2a\u5178\u578b\u6848\u4f8b\u662f <strong>AIME<\/strong>\uff08\u6570\u5b66\u7ade\u8d5b\u9898\u76ee\uff09\u7684 pass@1 \u6307\u6807\uff1a<\/p>\n\n\n\n<ul>\n<li>\u4ece\u521d\u59cb\u7684 <strong>15.6%<\/strong> \u63d0\u5347\u5230\u4e86 <strong>71.0%<\/strong>\uff0c\u610f\u5473\u7740\u6a21\u578b\u4ec5\u901a\u8fc7\u5f3a\u5316\u5b66\u4e60\u5c31\u5f97\u5230\u4e86\u8f83\u5f3a\u7684\u6570\u5b66\u63a8\u7406\u80fd\u529b\u3002<\/li>\n<\/ul>\n\n\n\n<p id=\"uadd4f98f\">\u5bf9\u4e8ezero\u7684\u51b7\u542f\u52a8\uff0c\u4e3b\u8981\u8fd8\u662f\u4f9d\u9760\u4e86\u6a21\u578b\u81ea\u5e26\u7684\u6307\u4ee4\u9075\u5faa\u80fd\u529b\uff0c\u901a\u8fc7\u5728\u95ee\u9898\u524d\u6ce8\u5165\u4e00\u4e9b\u6307\u4ee4\uff0c\u8ba9\u6a21\u578b\u5206\u5e03\u62c6\u5206\uff0c\u6574\u4f53\u770b\u66f4\u4f9d\u8d56\u4e8e\u6a21\u578b\u7684\u9884\u8bad\u7ec3\u80fd\u529b\u4e0e\u9884\u8bad\u7ec3\u6570\u636e\uff0c<strong>\u4e5f\u66f4\u5bb9\u6613\u51fa\u73b0\u4f8b\u5982Aha Moment\uff08\u6709\u4e9b\u5b9e\u9a8c\u8868\u660e\uff0cAha Mmoment\u5b9e\u9645\u4e0a\u662f\u4ece\u9884\u8bad\u7ec3\u6570\u636e\u4e2d\u5f97\u5230\u7684\uff0c\u56e0\u6b64\u5982\u679c\u4e2d\u95f4\u9694\u4e86sft\uff0c\u5b9e\u9645\u4e0a\u662f\u66f4\u8fdc\u79bb\u4e86Aha moment\uff09<\/strong>\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"260\" src=\"http:\/\/www.sniper97.cn\/wp-content\/uploads\/2025\/04\/image-10-1024x260.png\" alt=\"\" class=\"wp-image-4558\" srcset=\"http:\/\/www.sniper97.cn\/wp-content\/uploads\/2025\/04\/image-10-1024x260.png 1024w, http:\/\/www.sniper97.cn\/wp-content\/uploads\/2025\/04\/image-10-300x76.png 300w, http:\/\/www.sniper97.cn\/wp-content\/uploads\/2025\/04\/image-10-768x195.png 768w, http:\/\/www.sniper97.cn\/wp-content\/uploads\/2025\/04\/image-10.png 1494w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p>\u8fd9\u4e00\u73b0\u8c61\u8bf4\u660e\uff0c\u5373\u4f7f\u6ca1\u6709\u4e13\u95e8\u7684\u76d1\u7763\u6570\u636e\uff08\u5982\u4eba\u7c7b\u5199\u597d\u7684\u957f\u94fe\u5f0f\u63a8\u7406\u793a\u4f8b\uff09\uff0c\u6a21\u578b\u4e5f\u80fd\u81ea\u884c\u5b66\u4f1a\u5728\u4e2d\u9014\u53d1\u73b0\u5e76\u4fee\u6b63\u9519\u8bef\uff0c\u4ece\u800c\u5c55\u73b0\u51fa\u66f4\u590d\u6742\u7684\u63a8\u7406\u7b56\u7565\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"aj33R\">Reward Model<\/h3>\n\n\n\n<p id=\"u67f486d9\">Zero \u6240\u4f7f\u7528\u7684\u5956\u52b1\u51fd\u6570\u6bd4\u8f83\u7b80\u5355\uff1a<\/p>\n\n\n\n<ol>\n<li><strong>\u6b63\u786e\u6027\u5956\u52b1<\/strong>\uff1a\u5bf9\u6700\u7ec8\u8f93\u51fa\u662f\u5426\u6b63\u786e\u8fdb\u884c\u5224\u65ad\uff08\u5bf9\u4e8ecode\u76f4\u63a5\u4f7f\u7528\u89e3\u6790\u5668\u3001\u5bf9\u4e8emath\u76f4\u63a5\u4f7f\u7528\u5339\u914d\u65e2\u6b63\u786e\u7b54\u6848\u662f\u5426\u5728\u6a21\u578boutput\u4e2d\u51fa\u73b0\uff09\uff1b<\/li>\n\n\n\n<li><strong>\u683c\u5f0f\u5956\u52b1<\/strong>\uff1a\u5bf9\u56de\u7b54\u4e2d\u662f\u5426\u5305\u542b\u6307\u5b9a\u7684\u63a8\u7406\u4e0e\u7b54\u6848\u6846\u67b6\u8fdb\u884c\u68c0\u6d4b\uff08\u5982\u4f7f\u7528\u9884\u5148\u8bbe\u5b9a\u7684\u5206\u9694\u7b26\u3001\u8f93\u51fa pattern \u7b49\uff09\u3002\u5177\u4f53\u6765\u8bf4\uff1a\u770bCoT\u8fc7\u7a0b\u662f\u5426\u4ee5\u6807\u51c6<code>&lt;think&gt; &lt;\/think&gt;<\/code>\u5305\u88f9\u3002<\/li>\n<\/ol>\n\n\n\n<p id=\"u13082044\">\u8fd9\u4e48\u770b\u8d77\u6765\u4f3c\u4e4e\u66b4\u529b\u53c8\u7b80\u5355\u7684\u65b9\u6cd5\uff0c\u6548\u679c\u5374\u51fa\u5947\u5730\u597d\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"847\" src=\"http:\/\/www.sniper97.cn\/wp-content\/uploads\/2025\/04\/image-11-1024x847.png\" alt=\"\" class=\"wp-image-4559\" srcset=\"http:\/\/www.sniper97.cn\/wp-content\/uploads\/2025\/04\/image-11-1024x847.png 1024w, http:\/\/www.sniper97.cn\/wp-content\/uploads\/2025\/04\/image-11-300x248.png 300w, http:\/\/www.sniper97.cn\/wp-content\/uploads\/2025\/04\/image-11-768x635.png 768w, http:\/\/www.sniper97.cn\/wp-content\/uploads\/2025\/04\/image-11.png 1420w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p>\u5e76\u4e14\u89c2\u5bdf\u5230\u4e86\u660e\u663e\u7684\u201c\u8fdb\u5316\u201d\u73b0\u8c61\uff0c\u968f\u7740\u8bad\u7ec3\u6b65\u6570\u7684\u589e\u52a0\uff0c\u8f93\u51fa\u5e73\u5747\u957f\u5ea6\u4e5f\u5728\u589e\u52a0\u3002\u610f\u5473\u7740LLM\u4f3c\u4e4e\u81ea\u5df1\u5df2\u7ecf\u6f5c\u79fb\u9ed8\u5316\u5b66\u4f1a\u4e86\u8fdb\u884c\u66f4\u591a\u7684\u601d\u8003\u548c\u63a8\u7406\uff0c\u8fbe\u5230\u66f4\u597d\u7684\u6548\u679c<\/p>\n\n\n\n<figure class=\"wp-block-image size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"672\" src=\"http:\/\/www.sniper97.cn\/wp-content\/uploads\/2025\/04\/image-12-1024x672.png\" alt=\"\" class=\"wp-image-4560\" style=\"width:841px;height:auto\" srcset=\"http:\/\/www.sniper97.cn\/wp-content\/uploads\/2025\/04\/image-12-1024x672.png 1024w, http:\/\/www.sniper97.cn\/wp-content\/uploads\/2025\/04\/image-12-300x197.png 300w, http:\/\/www.sniper97.cn\/wp-content\/uploads\/2025\/04\/image-12-768x504.png 768w, http:\/\/www.sniper97.cn\/wp-content\/uploads\/2025\/04\/image-12.png 1170w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p id=\"u52e50214\">\u4f46\u662fZero \u4e5f\u4f1a\u9762\u4e34\u4e00\u4e9b\u5178\u578b\u95ee\u9898\uff0c\u5982<strong>\u53ef\u8bfb\u6027\u5dee\u3001\u8bed\u8a00\u6df7\u4e71<\/strong>\uff1a\u53ef\u80fd\u5728\u4e2d\u82f1\u6587\u751a\u81f3\u5176\u4ed6\u8bed\u8a00\u4e4b\u95f4\u6765\u56de\u5207\u6362\uff0c\u6216\u662f\u8f93\u51fa\u5927\u91cf\u4e2d\u95f4\u7b26\u53f7\u3001\u4e0d\u5b8c\u6574\u7684\u6570\u5b66\u516c\u5f0f\uff1b<\/p>\n\n\n\n<p id=\"uc82f002d\">\u56e0\u6b64\u5728Zero\u7684\u57fa\u7840\u4e0a\u53c8\u5f00\u53d1\u4e86DeepSeek-R1\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"wkZ71\">DeepSeek-R1<\/h2>\n\n\n\n<p id=\"ua4e25781\">DeepSeek-R1-Zero\u5df2\u7ecf\u8bc1\u660e\u4e86\uff0c\u5b8c\u5168\u4e0d\u8fdb\u884cSFT, \u76f4\u63a5RL\u5c31\u80fd\u663e\u8457\u63d0\u5347LLM\u7684\u63a8\u7406\u80fd\u529b\uff1b\u4f46\u662f\u540c\u65f6\u8f93\u51fa\u7684\u53ef\u8bfb\u6027\u3001\u6df7\u5408\u8bed\u8a00\u8f93\u51fa\u95ee\u9898\u8fd8\u662f\u5f88\u96be\u3002DeepSeek-R1\u91c7\u7528\u5982\u4e0b4\u4e2a\u9636\u6bb5\uff0c\u901a\u8fc7\u5f15\u5165SFT\u6d41\u7a0b\uff0c\u8ba9\u6a21\u578b\u8f93\u51faPATTERN\u66f4\u52a0\u53ef\u63a7\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"06ac30bb\">a. \u5c11\u91cf\u6570\u636e\u51b7\u542f\u52a8<\/h3>\n\n\n\n<p id=\"uf0a9c569\">\u91c7\u7528\u4e00\u5b9a\u7684\u624b\u6bb5\u6536\u96c6\u5c11\u91cf\u9ad8\u8d28\u91cf\u6570\u636e\uff1a\u6bd4\u5982\u5bf9\u4e8e\u957fCoT\u6570\u636e\uff0c\u4f7f\u7528few-shot\uff0c\u76f4\u63a5\u63d0\u793aDeepSeek-R1-Zero\u901a\u8fc7\u53cd\u601d\u548c\u9a8c\u8bc1\u751f\u6210\u8be6\u7ec6\u7b54\u6848\uff0c\u7136\u540e\u901a\u8fc7\u4eba\u5de5\u6ce8\u91ca\u8005\u7684\u540e\u5904\u7406\u6765\u7ec6\u5316\u7ed3\u679c\u3002<\/p>\n\n\n\n<p id=\"u140a0c58\">\u603b\u5171\u6536\u96c6\u4e86\u6570\u5343\u4e2a\u6837\u672c\uff0c\u76f8\u6bd4\u5b8c\u5168\u4e0d\u7528SFT\uff0c\u6536\u96c6\u7684\u6837\u672c\u8fdb\u884cSFT\uff0c\u53ef\u4ee5\u663e\u8457\u589e\u5f3a\u53ef\u8bfb\u6027\uff1b\u540c\u65f6\u540e\u7eed\u7684\u5b9e\u9a8c\u4e5f\u8bc1\u660e\u4e86\u901a\u8fc7\u5c11\u91cf\u6570\u636e\u51b7\u542f\u52a8\u4e5f\u80fd\u8fdb\u4e00\u6b65\u63d0\u5347\u63a8\u7406\u80fd\u529b\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"dbeac4d3\">b. \u5bf9\u63a8\u7406\u573a\u666f\u8fdb\u884cRL<\/h3>\n\n\n\n<p id=\"u845977a1\">\u7136\u540e\u5bf9<strong>\u6570\u5b66\u3001\u4ee3\u7801<\/strong>\u7b49\u63a8\u7406\u573a\u666f\u8fdb\u884cRL\u3002\u8fd9\u91cc\u6ca1\u5565\u597d\u8bf4\u7684\uff0c\u548cDeepSeek-R1-Zero\u4e00\u6837\u7684\u65b9\u5f0f\u3002\u9488\u5bf9DeepSeek-R1-Zero\u8f93\u51fa\u4e2d\u8bed\u8a00\u6df7\u5408\u7684\u60c5\u51b5\uff0c\u989d\u5916\u589e\u52a0\u4e00\u4e2a\u5956\u52b1\uff1a\u8bed\u8a00\u4e00\u81f4\u6027\u5956\u52b1\uff0c\u7edf\u8ba1\u8f93\u51fa\u4e2d\u76ee\u6807\u8bed\u8a00\u7684\u5360\u6bd4\u4f5c\u4e3a\u5956\u52b1\u4fe1\u53f7\u3002\u5c06\u539f\u59cb\u7684\u51c6\u786e\u6027\u5956\u52b1\u4e0e\u8bed\u8a00\u4e00\u81f4\u6027\u5956\u52b1\u6c42\u548c\u4f5c\u4e3a\u6700\u7ec8\u5956\u52b1\uff0c\u8fdb\u884c\u8fc7\u7a0b\u53cd\u9988\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"1d5451fa\">c. \u62d2\u7edd\u91c7\u6837\u548cSFT<\/h3>\n\n\n\n<p id=\"u5a352ce9\">\u8fd9\u4e00\u6b65\u4e3b\u8981\u662f\u4e3a\u4e86\u63d0\u5347\u6a21\u578b\u7684<strong>\u901a\u7528\u80fd\u529b<\/strong>\uff0c\u901a\u8fc7\u6784\u5efa\u4e24\u90e8\u5206\u7684\u6570\u636e\u8fdb\u884cSFT\u6765\u5b9e\u73b0\u3002<\/p>\n\n\n\n<p id=\"u9c2c1bfd\">1.\u63a8\u7406\u6570\u636e\uff1a\u91c7\u7528\u62d2\u7edd\u91c7\u6837\u7684\u65b9\u5f0f\u4ece\u524d\u4e00\u9636\u6bb5\u5f97\u5230\u7684\u6a21\u578b\u751f\u6210\u63a8\u7406\u8fc7\u7a0b\uff0c\u540c\u65f6\u989d\u5916\u5f15\u5165\u4e00\u4e9b\u65e0\u6cd5\u7528\u89c4\u5219\u8fdb\u884c\u5956\u52b1\u7684\u6570\u636e\uff08\u8fd9\u90e8\u5206\u6570\u636e\u4f7f\u7528DeepSeek-V3\u901a\u8fc7LLM-as-judge\u7684\u65b9\u5f0f\u8fdb\u884c\u5956\u52b1\uff0c\u6bd4\u8f83GroudTruth\u4e0e\u5b9e\u9645\u8f93\u51fa\uff09\u3002\u540c\u65f6\uff0c\u8fc7\u6ee4\u6389\u4e86\u5305\u542b\u6df7\u5408\u8bed\u8a00\u3001\u957f\u6bb5\u843d\u3001\u4ee3\u7801\u5757\u7684CoT\u6570\u636e\u3002\u603b\u8ba1\u670960w\u6837\u672c\u3002<\/p>\n\n\n\n<p id=\"u8d1aceef\">2.\u975e\u63a8\u7406\u6570\u636e\uff1a\u4f7f\u7528DeepSeek-V3\u751f\u6210\u3001\u4f7f\u7528DeepSeek-V3\u7684SFT\u6570\u636e\uff0c\u5171\u8ba120w\u63a8\u7406\u65e0\u5173\u7684\u6837\u672c\u3002<\/p>\n\n\n\n<p id=\"u1751e785\">\u8fd9\u4e00\u9636\u6bb5\u603b\u5171\u751f\u6210\u4e8680w\u6837\u672c\uff0c\u7528DeepSeek-V3-Base \u8fdb\u884c\u4e862\u4e2aepoch\u7684SFT\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"2ae15a65\">d. \u9002\u914d\u6240\u6709\u573a\u666f\u7684RL\u9636\u6bb5<\/h3>\n\n\n\n<p id=\"ue796f400\">\u6700\u540e\u4e3a\u4e86\u540c\u65f6\u5e73\u8861\u63a8\u7406\u80fd\u529b\u548c\u901a\u7528\u80fd\u529b\uff0c\u53c8\u8fdb\u884c\u4e86\u4e00\u6b21RL\u3002\u5bf9\u4e8e\u4e0d\u540c\u7684\u6570\u636e\u7c7b\u578b\uff0c\u91c7\u7528\u4e0d\u540c\u7684prompt\u548c\u5956\u52b1\u3002<\/p>\n\n\n\n<p id=\"u604d4332\">\u5bf9\u4e8e\u63a8\u7406\u6570\u636e\uff0c\u4f7f\u7528DeepSeek-R1-Zero\u4e2d\u7684\u65b9\u6cd5\uff0c\u8be5\u65b9\u6cd5\u5728\u6570\u5b66\u3001\u7f16\u7a0b\u548c\u903b\u8f91\u63a8\u7406\u9886\u57df\u4f7f\u7528\u57fa\u4e8e\u89c4\u5219\u7684\u5956\u52b1\u6307\u5bfc\u5b66\u4e60\u8fc7\u7a0b\u3002\u5bf9\u4e8e\u901a\u7528\u6570\u636e\uff0c\u4f7f\u7528\u901a\u7528\u7684RM\u6765\u8fdb\u884c\u5956\u52b1\u3002\u57fa\u672c\u590d\u7528DeepSeek-V3\u7684\u65b9\u5f0f\u3002\u5bf9\u4e8e\u6709\u7528\u6027\uff0c\u4e13\u6ce8\u4e8e\u8bc4\u4f30\u6700\u7ec8\u7684summary\uff0c\u786e\u4fdd\u8bc4\u4f30\u5bf9\u7528\u6237\u7684\u5b9e\u7528\u6027\u548c\u76f8\u5173\u6027\uff0c\u540c\u65f6\u5c3d\u91cf\u51cf\u5c11\u5bf9\u5e95\u5c42\u63a8\u7406\u8fc7\u7a0b\u7684\u5e72\u6270\u3002\u5bf9\u4e8e\u65e0\u5bb3\u6027\uff0c\u8bc4\u4f30\u6a21\u578b\u7684\u6574\u4e2a\u54cd\u5e94\uff0c\u5305\u62ec\u63a8\u7406\u8fc7\u7a0b\u548c\u603b\u7ed3\uff0c\u4ee5\u8bc6\u522b\u548c\u51cf\u8f7b\u751f\u6210\u8fc7\u7a0b\u4e2d\u53ef\u80fd\u51fa\u73b0\u7684\u4efb\u4f55\u6f5c\u5728\u98ce\u9669\u3001\u504f\u89c1\u6216\u6709\u5bb3\u5185\u5bb9\u3002<\/p>\n\n\n\n<p id=\"ucefcf960\">\u6700\u7ec8\uff0c\u5956\u52b1\u4fe1\u53f7\u548c\u591a\u6837\u5316\u6570\u636e\u5206\u5e03\u7684\u6574\u5408\u4f7f\u5f97\u6700\u7ec8\u7684\u6a21\u578b\u65e2\u80fd\u4fdd\u6301\u63a8\u7406\u80fd\u529b\uff0c\u53c8\u80fd\u6ee1\u8db3\u6709\u7528\u6027\u548c\u65e0\u5bb3\u6027\uff0c\u53d6\u5f97\u6bd4\u8f83\u597d\u7684\u7528\u6237\u4f53\u9a8c\u3002<\/p>\n\n\n\n<p id=\"u9b9266df\">\u5982\u6b64\u5f62\u6210\u4e86 base -&gt; SFT -&gt; RL -&gt;\uff08\u62d2\u7edd\u91c7\u6837+\u65b0 SFT\uff09-&gt; RL \u7684\u591a\u9636\u6bb5\u8bad\u7ec3pipeline\u3002<br>\u7ecf\u8fc7\u6700\u7ec8\u6536\u655b\u540e\uff0cR1 \u7684\u6570\u4e2a\u8bc4\u6d4b\u6307\u6807\uff08\u5982 AIME\u3001MATH\u3001LiveCodeBench\u3001\u751a\u81f3\u4e00\u4e9b\u957f\u6587\u672c\u5199\u4f5c\u4e0e\u95ee\u7b54\u8bc4\u6d4b\uff09\u5747\u8fbe\u5230\u4e86\u6216\u8d85\u8fc7\u4e86\u4e3b\u6d41\u5546\u7528\u95ed\u6e90\u5927\u6a21\u578b\u7684\u6c34\u51c6\u3002\u62a5\u544a\u4e2d\u63d0\u5230\uff0cR1 \u7684\u6570\u503c\u8868\u73b0\u5df2\u201c\u63a5\u8fd1\u6216\u8fbe\u5230 OpenAI-o1-1217\u201d\u6c34\u5e73\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"839\" src=\"http:\/\/www.sniper97.cn\/wp-content\/uploads\/2025\/04\/image-13-1024x839.png\" alt=\"\" class=\"wp-image-4561\" srcset=\"http:\/\/www.sniper97.cn\/wp-content\/uploads\/2025\/04\/image-13-1024x839.png 1024w, http:\/\/www.sniper97.cn\/wp-content\/uploads\/2025\/04\/image-13-300x246.png 300w, http:\/\/www.sniper97.cn\/wp-content\/uploads\/2025\/04\/image-13-768x629.png 768w, http:\/\/www.sniper97.cn\/wp-content\/uploads\/2025\/04\/image-13.png 1450w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"xSPys\">\u8bfb\u8005\u53cb\u597d\u7684\u8f93\u51fa\u4e0e\u5e38\u89c1\u95ee\u9898<\/h3>\n\n\n\n<p id=\"ue33bb595\">\u76f8\u6bd4 Zero\uff0cR1 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\u63d0\u793a\uff1b<\/li>\n\n\n\n<li><strong>\u8f6f\u4ef6\u5de5\u7a0b\u80fd\u529b\u4ecd\u4e0d\u7b97\u6700\u4f73<\/strong>\uff1a\u867d\u7136\u5728\u7b97\u6cd5\u9898\u4e0a\u8868\u73b0\u5f3a\u52b2\uff0c\u4f46\u5728\u5927\u578b\u8f6f\u4ef6\u5de5\u7a0b\u4efb\u52a1\uff08\u4f8b\u5982\u591a\u6587\u4ef6\u3001\u591a\u6a21\u5757\u4f9d\u8d56\uff09\u65b9\u9762\uff0c\u5f3a\u5316\u5b66\u4e60\u7684\u4ee3\u4ef7\u6602\u8d35\uff0c\u4f9d\u8d56\u5927\u91cf\u4e14\u5b9e\u65f6\u7684\u7f16\u8bd1\u6d4b\u8bd5\uff1b\u76ee\u524d\u76f8\u5bf9\u901a\u7528\u578b\u5fae\u8c03\u4e0e\u62d2\u7edd\u91c7\u6837\u7684\u89c4\u6a21\u8fd8\u4e0d\u8db3\u4ee5\u5927\u5e45\u63d0\u5347\u5de5\u7a0b\u7c7b\u7f16\u7a0b\u4efb\u52a1\u7684\u8868\u73b0\u3002<\/li>\n<\/ol>\n\n\n\n<h1 class=\"wp-block-heading\" id=\"c4eEM\">\u5176\u4ed6\u7ed3\u8bba<\/h1>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"qCsDW\">1. \u5bf9\u4e8e\u5c0f\u6a21\u578b\u6765\u8bf4\uff0c\u5c0f\u6a21\u578b\u84b8\u998f&gt;\u5f3a\u5316\uff1f<\/h2>\n\n\n\n<p id=\"uea4df7e8\">DeepSeek\u7684\u53e6\u4e00\u4e2a\u91cd\u8981\u7ed3\u8bba\u662f\uff0c\u5bf9\u4e8e\u5c0f\u6a21\u578b\uff08\u5982 1.5B\u30017B\u300132B \u53c2\u6570\u89c4\u6a21\uff09\u6765\u8bf4\uff0c<strong>\u4ece\u5927\u6a21\u578b\u84b8\u998f\u800c\u6765\u7684\u63a8\u7406\u80fd\u529b\u901a\u5e38\u4f18\u4e8e\u76f4\u63a5\u8fdb\u884c\u5927\u89c4\u6a21 RL<\/strong>\u3002<strong><\/strong><\/p>\n\n\n\n<ul>\n<li>\u5728\u62a5\u544a\u4e2d\uff0c\u4f5c\u8005\u5c1d\u8bd5\u5bf9\u5c0f\u6a21\u578b\uff08\u5982 Qwen-32B-Base\uff09\u8fdb\u884c\u5927\u89c4\u6a21\u5f3a\u5316\u5b66\u4e60\uff0c\u53d1\u73b0\u6548\u679c\u751a\u81f3\u4e0d\u5982\u76f4\u63a5\u62ff DeepSeek-R1 \u5f53\u6559\u5e08\u6a21\u578b\u6765\u751f\u6210\u6570\u636e\uff0c\u518d\u505a\u76d1\u7763\u5fae\u8c03\uff1b<\/li>\n\n\n\n<li>\u539f\u56e0\u53ef\u80fd\u5728\u4e8e\uff0c\u5c0f\u6a21\u578b\u672c\u8eab\u7684\u521d\u59cb\u80fd\u529b\u6216\u8868\u793a\u80fd\u529b\u6709\u9650\uff0c\u65e0\u6cd5\u5728 RL \u8fc7\u7a0b\u91cc\u63a2\u7d22\u5e76\u5b66\u5230\u9ad8\u6c34\u5e73\u7684\u63a8\u7406\u6846\u67b6\uff0c\u800c\u84b8\u998f\u5219\u53ef\u4ee5\u76f4\u63a5\u201c\u8fc1\u79fb\u201d\u5927\u578b\u6a21\u578b\u7684\u63a8\u7406\u8def\u5f84\u4e0e\u77e5\u8bc6\u70b9\u3002<\/li>\n<\/ul>\n\n\n\n<p id=\"uc40883a7\">\u4e0d\u8fc7\u8fd9\u4e00\u70b9\u6211\u4eec\u7684\u5de5\u4f5c\u4ee5\u53ca\u5176\u4ed6\u7684\u4e00\u4e9b\u5c0f\u6a21\u578b\u84b8\u998f\u5de5\u4f5c\u53d1\u73b0\uff0c\u5927\u6a21\u578b\u84b8\u998f\u5c0f\u6a21\u578b\u5b9e\u9645\u4e0a\u5b58\u5728\u5f88\u591a\u95ee\u9898\uff0c<strong>\u6bd4\u5982\u66f4\u5bb9\u6613non-stop\u7b49\u3002<\/strong><\/p>\n\n\n\n<p id=\"u69750557\">\u603b\u4f53\u770b\uff0c\u84b8\u998f\u867d\u7136\u5bb9\u6613\u5728\u67d0\u4e2a\u7ec6\u5206\u4efb\u52a1\u4e0a\u8fdb\u884c\u8fc7\u62df\u5408\u800c\u63d0\u5347\u6307\u6807\uff0c\u4f46\u662f\u5f80\u5f80\u5f88\u5bb9\u6613\u77eb\u6789\u8fc7\u6b63\u4e27\u5931\u5176\u4ed6\u4f8b\u5982\u6307\u4ee4\u7ec4\u8bad\u7b49\u57fa\u672c\u80fd\u529b\u3002\u6240\u4ee5\u8fd9\u4e2a\u7ed3\u8bba\u6211\u4eec\u8ba4\u4e3a\u8fd8\u4e3a\u65f6\u5c1a\u65e9\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"xMPEE\">2. DeepSeek-R1\u5728\u957f\u6587\u672c\u3001\u53ef\u63a7\u751f\u6210\u4e0a\u4e5f\u83b7\u5f97\u4e86\u5f88\u5f3a\u7684\u63d0\u5347<\/h2>\n\n\n\n<p id=\"u4de2460f\">DeepSeek-R1\u5728AllacaEval2.0\u4e0eArenaHard\u7684\u957f\u5ea6\u63a7\u5236\u4e0a\u80dc\u7387\u5206\u522b\u4e3a87.6%\u4e0e92.3%\u3002\u540c\u65f6\u5728\u957f\u6587\u672c\u7406\u89e3\u7b49\u65b9\u9762\u6027\u80fd\u4e5f\u663e\u8457\u8d85\u8fc7DeepSeek-V3\u3002\u4f46\u662f\u6ca1\u6709\u5177\u4f53\u63d0\u5b8c\u6574\u7684\u6307\u4ee4\u9075\u5faa\u80fd\u529b\u63d0\u5347\uff0c\u8003\u8651\u5230R1\u7684few-shot\u80fd\u529b\u6bd4\u8f83\u5dee\uff0c\u5f88\u6709\u53ef\u80fd\u662f\u6709\u4e00\u70b9\u6389\u70b9\u7684\u3002<\/p>\n\n\n\n<p id=\"uce42ea13\">\u4ece\u8fd9\u70b9\u4e0a\u6765\u8bf4\uff0c\u6211\u4eec\u7684\u5b9e\u9a8c\u4e5f\u53d1\u73b0\u4e86\uff0c\u76f8\u8f83\u4e8e\u5e38\u89c4\u7684Instruct\u7248\u672c\uff0c\u6211\u4eec\u7684\u6a21\u578b\u53ef\u4ee5\u83b7\u5f97\u66f4\u597d\u5730\u6307\u4ee4\u9075\u5faa\u80fd\u529b\uff0c\u5728\u957f\u5ea6\u63a7\u5236\u3001format\u63a7\u5236\u4e0a\uff0c\u5177\u6709\u66f4\u597d\u7684\u6548\u679c\u3002\u76f8\u8f83baseline\u670910\u4e2a\u70b9\u5de6\u53f3\u7684\u63d0\u5347\u3002\u4f3c\u4e4e\u8fd9\u662f\u957fCoT\u6a21\u578b\u7684\u4e00\u4e2a\u8212\u9002\u533a\uff0c\u6709\u66f4\u957f\u7684\u7a7a\u95f4\u6765\u5bf9\u957f\u5ea6\u7b49\u95ee\u9898\u8fdb\u884c\u601d\u8003\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"jIQLk\">3. \u4e3a\u4ec0\u4e48\u4e0d\u4f7f\u7528(P)RM\uff1f<\/h2>\n\n\n\n<p id=\"uee4a0a5c\">1. \u5728\u4e00\u822c\u63a8\u7406\u8fc7\u7a0b\u4e2d\u660e\u786e\u5b9a\u4e49\u7ec6\u7c92\u5ea6\u7684\u6b65\u9aa4\u6bd4\u8f83\u56f0\u96be\u3002<\/p>\n\n\n\n<p id=\"uec0e1035\">2. \u5bf9\u6b65\u9aa4\u6253\u6807\u96be\u4ee5\u6269\u5c55\uff0c\u91c7\u7528\u81ea\u52a8\u6807\u6ce8\u96be\u4ee5\u83b7\u5f97\u8f83\u9ad8\u51c6\u786e\u7387\uff0c\u624b\u52a8\u6807\u6ce8\u53c8\u96be\u4ee5\u89c4\u6a21\u5316\u5e94\u7528\u3002<\/p>\n\n\n\n<p id=\"u0dee9bff\">3. \u5f15\u5165\u57fa\u4e8e\u6a21\u578b\u7684(P)RM\uff0c\u4e0d\u53ef\u907f\u514d\u5730\u4f1a\u9047\u5230reward hacking\uff0c \u91cd\u65b0\u8bad\u7ec3\u5956\u52b1\u6a21\u578b\u9700\u8981\u989d\u5916\u7684\u8bad\u7ec3\u8d44\u6e90\uff0c\u5e76\u4f7f\u6574\u4e2a\u8bad\u7ec3\u6d41\u7a0b\u590d\u6742\u5316\u3002<\/p>\n\n\n\n<p id=\"ue31c3cca\">\u5305\u62ecmcts\u4e5f\u8fdb\u884c\u4e86\u4e00\u5b9a\u7684\u7814\u7a76\uff0c\u4e3b\u8981\u95ee\u9898\u4e3a\u641c\u7d22\u7a7a\u95f4\u8fc7\u5927\uff0c\u5bb9\u6613\u9677\u5165\u5c40\u90e8\u6700\u4f18\u89e3\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"dZOyK\">4. \u672a\u6765\u65b9\u5411<\/h2>\n\n\n\n<ul>\n<li><strong>\u901a\u7528\u80fd\u529b<\/strong>\uff1a\u867d\u7136R1\u51fa\u5708\u7684\u539f\u56e0\u662f\u5f88\u5f3a\u7684\u6cdb\u5316\u80fd\u529b\uff0c\u4f46\u662f\u76f8\u6bd4\u4ecd\u7136\u4e0d\u53caDeepSeekV3\u3002<\/li>\n\n\n\n<li><strong>\u8bed\u8a00\u6df7\u5408<\/strong>\uff1aDeepSeek-R1\u76ee\u524d\u9488\u5bf9\u4e2d\u6587\u548c\u82f1\u6587\u8fdb\u884c\u4e86\u4f18\u5316\uff0c\u4f46\u662f\u5728\u5904\u7406\u5176\u4ed6\u8bed\u8a00\u4ee5\u53ca\u8bed\u8a00\u9075\u5faa\u65b9\u9762\u8fd8\u662f\u4f1a\u6709\u95ee\u9898\u3002<\/li>\n\n\n\n<li><strong>PE<\/strong>\uff1aDeepSeek-R1\u5bf9Prompt\u975e\u5e38\u654f\u611f\u3002few-shot\u63d0\u793a\u4f1a\u6301\u7eed\u964d\u4f4e\u5176\u6027\u80fd\u3002<\/li>\n\n\n\n<li><strong>\u8f6f\u4ef6\u5de5\u7a0b\u4efb\u52a1<\/strong>\uff1a\u7531\u4e8e\u957f\u65f6\u95f4\u7684\u8bc4\u4f30\u4f1a\u5f71\u54cdRL\u8fc7\u7a0b\u7684\u6548\u7387\uff0c\u5927\u89c4\u6a21RL\u5c1a\u672a\u5728\u8f6f\u4ef6\u5de5\u7a0b\u4efb\u52a1\u4e2d\u5e7f\u6cdb\u5e94\u7528\u3002<\/li>\n<\/ul>\n\n\n\n<h1 class=\"wp-block-heading\" id=\"ynYlR\">R1\u590d\u73b0\u5de5\u4f5c<\/h1>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"SaCAZ\">Open-R1<\/h2>\n\n\n\n<p id=\"u0a965e55\">DeepSeek-R1\u6a21\u578b\u6743\u91cd\u662f\u5f00\u653e\u7684\uff0c\u4f46\u7528\u4e8e\u8bad\u7ec3\u7684\u6570\u636e\u96c6\u548c\u4ee3\u7801\u6ca1\u6709\u63d0\u4f9b\u3002<\/p>\n\n\n\n<p id=\"ue0b1c079\">Open-R1\u7684\u76ee\u6807\u662f\u586b\u8865\u8fd9\u4e00\u7a7a\u767d\uff0c\u4ee5\u4fbf\u6574\u4e2a\u7814\u7a76\u548c\u884c\u4e1a\u793e\u533a\u90fd\u53ef\u4ee5\u5229\u7528\u8fd9\u4e9b\u8d44\u6e90\u6784\u5efa\u7c7b\u4f3c\u6216\u66f4\u597d\u7684\u6a21\u578b\u3002\u4ee5\u4e0b\u662f\u590d\u73b0\u884c\u52a8\u8ba1\u5212\uff1a<\/p>\n\n\n\n<ul>\n<li><strong>Step 1:<\/strong> \u590d\u73b0\u901a\u8fc7R1\u84b8\u998fQwen\u7b49\u5c0f\u6a21\u578b\u3002<\/li>\n\n\n\n<li><strong>Step 2:<\/strong> \u590d\u73b0\u901a\u8fc7\u7eaf\u5f3a\u5316\u5b66\u4e60\u8bad\u7ec3R1-Zero\u7684\u8fc7\u7a0b\uff0c\u5305\u62ec\u5982\u4f55<strong>\u751f\u6210\u63a8\u7406\u6570\u636e\u96c6<\/strong>\u3002<\/li>\n\n\n\n<li><strong>Step 3:<\/strong> \u590d\u73b0\u8bad\u7ec3R1\u7684\u5b8c\u6574pipeline\uff0c\u5305\u62ec2\u9636\u6bb5SFT\u30012\u9636\u6bb5RL\u3002<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"886\" height=\"1024\" src=\"http:\/\/www.sniper97.cn\/wp-content\/uploads\/2025\/04\/image-14-886x1024.png\" alt=\"\" class=\"wp-image-4562\" srcset=\"http:\/\/www.sniper97.cn\/wp-content\/uploads\/2025\/04\/image-14-886x1024.png 886w, http:\/\/www.sniper97.cn\/wp-content\/uploads\/2025\/04\/image-14-260x300.png 260w, http:\/\/www.sniper97.cn\/wp-content\/uploads\/2025\/04\/image-14-768x888.png 768w, http:\/\/www.sniper97.cn\/wp-content\/uploads\/2025\/04\/image-14.png 1092w\" sizes=\"(max-width: 886px) 100vw, 886px\" \/><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"AVpXt\">step1\uff1a\u901a\u8fc7DeepSeek-R1\u84b8\u998f\u7684\u6570\u636e\u8bad\u7ec3<\/h3>\n\n\n\n<p id=\"udde9b96d\">\u4f7f\u7528 DeepSeek-R1 \u7684 \u84b8\u998f\u6570\u636e\u521b\u5efa\u4e86 Bespoke-Stratos-17k(https:\/\/huggingface.co\/datasets\/bespokelabs\/Bespoke-Stratos-17k)\u2014\u2014\u4e00\u4e2a\u5305\u542b<strong>\u95ee\u9898\u3001\u63a8\u7406\u8f68\u8ff9\u548c\u7b54\u6848<\/strong>\u7684\u63a8\u7406\u6570\u636e\u96c6\u3002<\/p>\n\n\n\n<p id=\"u478f801d\">\u8be5\u6570\u636e\u96c6\u5305\u542b\uff1a<\/p>\n\n\n\n<ul>\n<li>5,000 \u6761\u6765\u81ea APPs \u548c TACO \u7684\u7f16\u7a0b\u6570\u636e\uff1b<\/li>\n\n\n\n<li>10,000 \u6761\u6765\u81ea NuminaMATH \u6570\u636e\u96c6\u7684 AIME\u3001MATH \u548c Olympiads \u5b50\u96c6\u7684\u6570\u5b66\u6570\u636e\uff1b<\/li>\n\n\n\n<li>1,000 \u6761\u6765\u81ea STILL-2 \u7684\u79d1\u5b66\u548c\u8c1c\u9898\u6570\u636e\u3002<\/li>\n<\/ul>\n\n\n\n<p id=\"ufbad2ba8\">\u751f\u6210\u8fc7\u7a0b\uff1a<\/p>\n\n\n\n<ul>\n<li><strong>\u9ad8\u6548\u6570\u636e\u751f\u6210<\/strong>\uff1a\u8c03\u7528 DeepSeek-R1\uff0c\u4f7f\u7528 1.5 \u5c0f\u65f6\u751f\u6210\u9ad8\u8d28\u91cf\u63a8\u7406\u6570\u636e\u96c6\uff0c\u6210\u672c\u63a7\u5236\u5728 800 \u7f8e\u5143\u3002<\/li>\n\n\n\n<li><strong>\u6539\u8fdb\u62d2\u7edd\u91c7\u6837<\/strong>\uff1a\u5f15\u5165 Ray \u96c6\u7fa4\u52a0\u901f<strong>\u4ee3\u7801\u9a8c\u8bc1<\/strong>\uff0c\u4f5c\u8005\u540e\u9762\u8ba1\u5212\u76f4\u63a5\u96c6\u6210\u4ee3\u7801\u6267\u884c\u9a8c\u8bc1\u5668\u3002<\/li>\n\n\n\n<li><strong>\u63d0\u5347\u6570\u5b66\u89e3\u9898\u7cbe\u5ea6<\/strong>\uff1a\u901a\u8fc7 gpt-4o-mini\uff0c\u8fc7\u6ee4\u9519\u8bef\u7684\u6570\u5b66\u89e3\u51b3\u65b9\u6848\uff0c\u663e\u8457\u63d0\u9ad8\u4e86\u6b63\u786e\u6570\u5b66\u89e3\u51b3\u65b9\u6848\u7684\u4fdd\u7559\u7387\uff08\u4ece 25% \u63d0\u5347\u81f3 73%\uff09\u3002<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"lNAur\">step2\uff1a\u901a\u8fc7\u63a8\u7406\u6570\u636e\u96c6+GRPO\u8bad\u7ec3R1-Zero<\/h3>\n\n\n\n<p id=\"ub1352376\">\u6b64\u5904\u672a\u5b8c\u6574\u590d\u73b0\u63a8\u7406\u6570\u636e\u96c6\u7684\u6784\u9020\u5168\u6d41\u7a0b\uff0c\u8fd9\u4e2a\u53ef\u80fd\u662fR1-Zero\u6700\u91cd\u8981\u7684\u70b9\u3002<\/p>\n\n\n\n<p id=\"u161921d6\">Open-R1\u76f4\u63a5\u91c7\u7528\u4e86\u63a8\u7406\u6570\u636e\u96c6\uff1aAI-MO\/NuminaMath-TIR\uff0c\u517172540\u6761\u6570\u636e<strong>\u3002<\/strong><\/p>\n\n\n\n<p id=\"ubfe0c0aa\">\u6309\u7167R1-Zero\u8bba\u6587\u7684\u63cf\u8ff0\uff0cproblem\u5b57\u6bb5\u662f\u63d0\u4f9b\u7ed9\u6a21\u578b\u7684\u8f93\u5165\uff0c\u901a\u8fc7<strong>\u89c4\u5219\u5316\u7684RL\u5956\u52b1<\/strong>\u6765\u5f15\u5bfc\u6a21\u578b\u8fdb\u884c\u601d\u7ef4\u94fe(CoT)\u6162\u601d\u8003\u3002\u89c4\u5219\u5316\u7684RL\u5956\u52b1\u5305\u62ec\u7b54\u6848\u7684\u51c6\u786e\u6027\u548c\u683c\u5f0f\u7684\u51c6\u786e\u6027\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"XFG6t\">step3\uff1a\u901a\u8fc7\u591a\u9636\u6bb5pipeline\u8bad\u7ec3R1<\/h3>\n\n\n\n<p id=\"ua8034fe5\">Todo<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"Ad8Kj\">simpleRL-Reason \u6e2f\u79d1\u5927<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"Iduyq\">Motivation<\/h3>\n\n\n\n<p id=\"uf3e00766\">\u5f53\u4e0b\u63a8\u7406\u6a21\u578b\u7684\u75db\u70b9\uff1a<\/p>\n\n\n\n<ol>\n<li><strong>\u6570\u636e\u6210\u672c<\/strong>\uff1a\u4e3b\u6d41\u65b9\u6848\u4f9d\u8d56\u6570\u767e\u4e07\u6807\u6ce8\u6570\u636e\uff0c\u5982PRIME\u97007.3M\u6837\u672c\uff1b<\/li>\n\n\n\n<li><strong>\u67b6\u6784\u590d\u6742<\/strong>\uff1a\u9700\u642d\u914d\u5956\u52b1\u6a21\u578b\u3001\u8499\u7279\u5361\u7f57\u6811\u641c\u7d22\uff08MCTS\uff09\u7b49\uff0c\u8bad\u7ec3\u6210\u672c\u9ad8\uff1b<\/li>\n\n\n\n<li><strong>\u6cdb\u5316\u4e0d\u8db3<\/strong>\uff1a\u4f20\u7edf\u76d1\u7763\u5fae\u8c03\uff08SFT\uff09\u5728\u8de8\u96be\u5ea6\u4efb\u52a1\u4e0a\u8868\u73b0\u4e4f\u529b\u3002<\/li>\n<\/ol>\n\n\n\n<p id=\"ud5af1fdd\"><strong>\u6838\u5fc3\u95ee\u9898<\/strong>\uff1a\u80fd\u5426\u4ec5\u7528<strong>\u6781\u5c11\u91cf\u6570\u636e<\/strong>\uff08\u59828K\u6837\u672c\uff09\u548c<strong>\u7b80\u5355RL\u6846\u67b6<\/strong>\uff0c\u5728<strong>\u5c0f\u6a21\u578b<\/strong>\uff087B\u53c2\u6570\uff09\u4e0a\u5b9e\u73b0\u590d\u6742\u63a8\u7406\u80fd\u529b\u7684\u6d8c\u73b0\uff0c\u5b9e\u73b0 <strong>\u201caha moment\u201d<\/strong> \uff1f<\/p>\n\n\n\n<p id=\"ue6444108\">\u8be5\u7814\u7a76\u7ed9\u51fa\u4e86\u80af\u5b9a\u7b54\u6848\u2014\u2014<strong>\u65e0\u9700SFT\u3001\u65e0\u9700\u5956\u52b1\u6a21\u578b<\/strong>\uff0c\u4ec5\u901a\u8fc7\u89c4\u5219\u5956\u52b1\u51fd\u6570\uff0cQwen2.5-Math-7B\u5728AIME\u3001AMC\u7b49\u6570\u5b66\u7ade\u8d5b\u7ea7\u4efb\u52a1\u4e2d\u8d85\u8d8a\u4f20\u7edf\u65b9\u6cd5\uff0c\u751a\u81f3\u903c\u8fd150\u500d\u6570\u636e\u91cf\u7684\u57fa\u7ebf\u6a21\u578b\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"bZ4eQ\">Solution<\/h3>\n\n\n\n<p id=\"ub640cab2\"><strong>\u6838\u5fc3\u601d\u8def<\/strong>\uff1a\u901a\u8fc7<strong>\u89c4\u5219\u5316\u5956\u52b1\u51fd\u6570<\/strong>\u5f15\u5bfc\u6a21\u578b\u81ea\u4e3b\u63a2\u7d22\u63a8\u7406\u8def\u5f84\uff0c\u6fc0\u53d1<strong>\u957f\u601d\u7ef4\u94fe<\/strong>\uff08CoT\uff09\u4e0e<strong>\u81ea\u6211\u53cd\u601d<\/strong>\uff08Self-Reflection\uff09\u3002<\/p>\n\n\n\n<p id=\"uda2e89f2\">\u4e3a\u6b64\uff0c\u4f5c\u8005\u63d0\u51fa<strong>SimpleRL<\/strong>\u65b9\u6848\uff0c\u6838\u5fc3\u4ec5\u4e24\u6b65\uff1a<\/p>\n\n\n\n<ol>\n<li><strong>\u89c4\u5219\u5316\u5956\u52b1\u673a\u5236<\/strong>\uff1a<\/li>\n<\/ol>\n\n\n\n<ul>\n<li><strong>\u683c\u5f0f\u7ea6\u675f<\/strong>\uff1a\u5f3a\u5236\u6a21\u578b\u8f93\u51fa\u7ed3\u6784\u5316\u7b54\u6848\uff0c\u6291\u5236\u5197\u4f59\u5185\u5bb9\uff08\u5982\u4ee3\u7801\u7247\u6bb5\uff09\uff1b<\/li>\n\n\n\n<li><strong>\u7a00\u758f\u5956\u52b1<\/strong>\uff1a\u4e0d\u5e72\u9884\u4e2d\u95f4\u63a8\u7406\u6b65\u9aa4\uff0c<strong>\u5012\u903c\u6a21\u578b\u81ea\u4e3b\u63a2\u7d22\u6709\u6548CoT<\/strong>\uff08\u601d\u7ef4\u94fe\uff09\u3002<\/li>\n\n\n\n<li>\u2705 \u7b54\u6848\u683c\u5f0f\u6b63\u786e\u4e14\u5185\u5bb9\u6b63\u786e \u2192 +1\u5956\u52b1<\/li>\n\n\n\n<li>\u274c \u7b54\u6848\u9519\u8bef \u2192 -0.5\u60e9\u7f5a<\/li>\n\n\n\n<li>\ud83d\udeab \u65e0\u7b54\u6848 \u2192 -1\u60e9\u7f5a \u65e0\u9700\u590d\u6742\u5956\u52b1\u6a21\u578b\uff0c\u76f4\u63a5\u901a\u8fc7\u89c4\u5219\u5f15\u5bfc\u6a21\u578b\u884c\u4e3a\u3002<\/li>\n<\/ul>\n\n\n\n<ol start=\"2\">\n<li><strong>PPO\u7b97\u6cd5\u8bad\u7ec3<\/strong>\uff1a<\/li>\n<\/ol>\n\n\n\n<p id=\"u8a85657a\">\u4f9d\u7136\u7814\u7a76\u5bf9\u6bd4\u4e86\u4e24\u79cd\u8bad\u7ec3\u6a21\u5f0f\uff1a<\/p>\n\n\n\n<ul>\n<li><strong>SimpleRL-Zero<\/strong>\uff1a\u76f4\u63a5\u4ece\u57fa\u5ea7\u6a21\u578b\u542f\u52a8RL\uff0c\u65e0\u4efb\u4f55\u9884\u70ed\uff0c\u610f\u5473\u7740\u957fCoT\u7684\u80fd\u529b\u8981\u9760RL\u8fc7\u7a0b\u4e2d\u81ea\u5df1\u8fdb\u5316\uff1b<\/li>\n\n\n\n<li><strong>SimpleRL<\/strong>\uff1a\u5148\u75288K\u6837\u672c\u8fdb\u884c<strong>\u957fCoT\u51b7\u542f\u52a8<\/strong>\uff08\u957fCoT\u662f\u4ece32B\u5927\u6a21\u578bQwQ\u4e2d\u84b8\u998f\uff09\uff0c\u518d\u8fdb\u884cRL\u5fae\u8c03\u3002\u5dee\u5f02\u5728\u4e8e\u4e00\u5f00\u59cb\u5c31\u8ba9\u6a21\u578b\u4ece\u957fCoT\u4e2d\u62e5\u6709self-reflection\u7684\u80fd\u529b\uff0c\u7136\u540e\u518d\u901a\u8fc7RL\u9636\u6bb5\u5b66\u4e60\u66f4\u5feb\u66f4\u597d\u3002<\/li>\n<\/ul>\n\n\n\n<p id=\"u91863bab\"><strong>\u81ea\u7701\u80fd\u529b\u6d8c\u73b0<\/strong>\uff1a\u8bad\u7ec3\u7ea640\u6b65\u540e\uff0c\u6a21\u578b\u5f00\u59cb\u751f\u6210\u81ea\u6211\u7ea0\u9519\u8fc7\u7a0b\uff08\u5982\u201c\u8fd9\u4e00\u6b65\u53ef\u80fd\u6709\u8bef\uff0c\u91cd\u65b0\u8ba1\u7b97\u2026\u201d\uff09\uff0c\u4e0e\u4eba\u7c7b\u89e3\u9898\u65f6\u7684\u201c\u987f\u609f\u201d\u9ad8\u5ea6\u76f8\u4f3c\uff1b\u8fd9\u6b63\u662fDeepSeek-R1\u8bba\u6587\u4e2d\u63d0\u5230\u7684\u201c<strong>Aha Moment<\/strong>\u201d\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"536\" src=\"http:\/\/www.sniper97.cn\/wp-content\/uploads\/2025\/04\/image-15-1024x536.png\" alt=\"\" class=\"wp-image-4563\" srcset=\"http:\/\/www.sniper97.cn\/wp-content\/uploads\/2025\/04\/image-15-1024x536.png 1024w, http:\/\/www.sniper97.cn\/wp-content\/uploads\/2025\/04\/image-15-300x157.png 300w, http:\/\/www.sniper97.cn\/wp-content\/uploads\/2025\/04\/image-15-768x402.png 768w, http:\/\/www.sniper97.cn\/wp-content\/uploads\/2025\/04\/image-15.png 1476w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p><strong>\u957f\u5ea6\u81ea\u9002\u5e94<\/strong>\uff1a\u521d\u671f\u6a21\u578b\u56e0\u5197\u4f59\u4ee3\u7801\u5bfc\u81f4\u8f93\u51fa\u8fc7\u957f(\u53ef\u80fd\u4e0e\u6a21\u578b\u7684\u539f\u59cb\u8bad\u7ec3\u6570\u636e\u5206\u5e03\u6709\u5173)\uff0cRL\u5feb\u901f\u4f18\u5316\u683c\u5f0f\u540e\uff0c\u9010\u6e10\u5254\u9664\u4e86\u8fd9\u79cd\u6a21\u5f0f\uff0c\u4f7f\u6a21\u578b\u5b66\u4f1a\u7528\u6b63\u5e38\u8bed\u8a00\u8fdb\u884c\u63a8\u7406\uff0c\u63a8\u7406\u957f\u5ea6\u968f\u4efb\u52a1\u96be\u5ea6\u81ea\u7136\u6269\u5c55\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"570\" src=\"http:\/\/www.sniper97.cn\/wp-content\/uploads\/2025\/04\/image-16-1024x570.png\" alt=\"\" class=\"wp-image-4564\" style=\"width:841px;height:auto\" srcset=\"http:\/\/www.sniper97.cn\/wp-content\/uploads\/2025\/04\/image-16-1024x570.png 1024w, http:\/\/www.sniper97.cn\/wp-content\/uploads\/2025\/04\/image-16-300x167.png 300w, http:\/\/www.sniper97.cn\/wp-content\/uploads\/2025\/04\/image-16-768x428.png 768w, http:\/\/www.sniper97.cn\/wp-content\/uploads\/2025\/04\/image-16.png 1436w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"iyXWs\">Evaluation<\/h3>\n\n\n\n<p id=\"ud15e5551\">\u5728\u5b9e\u9a8c\u4e2d\uff0c\u4f5c\u8005\u4ee5 Qwen2.5-Math-7B-Base \u6a21\u578b\u4e3a\u8d77\u70b9\uff0c\u5728\u591a\u4e2a\u5177\u6709\u6311\u6218\u6027\u7684\u6570\u5b66\u63a8\u7406\u57fa\u51c6\u6d4b\u8bd5\u4e0a\u8bc4\u4f30\u5176\u6027\u80fd\uff0c\u5305\u62ec AIME2024\u3001AMC23\u3001GSM8K\u3001MATH-500\u3001Minerva Math \u548c OlympiadBench\u3002\u8bad\u7ec3\u6570\u636e\u4f7f\u7528\u4e86 MATH \u8bad\u7ec3\u6570\u636e\u96c6\u4e2d\u96be\u5ea6\u4e3a 3-5 \u7ea7\u522b\u7684\u7ea6 8000 \u4e2a\u95ee\u9898\u3002\u5b9e\u9a8c\u5206\u4e3a\u4ee5\u4e0b\u4e24\u79cd\u8bbe\u7f6e\uff0c\u5206\u522b\u5bf9\u5e94 DeepSeek-R1-Zero \u548c DeepSeek-R1\uff1a<\/p>\n\n\n\n<ul>\n<li><strong>SimpleRL-Zero<\/strong>\uff1a\u76f4\u63a5\u4ece\u57fa\u7840\u6a21\u578b\u5f00\u59cb\u8fdb\u884c\u5f3a\u5316\u5b66\u4e60\uff0c\u4e0d\u8fdb\u884c\u76d1\u7763\u5fae\u8c03\uff08SFT\uff09\u3002\u4ec5\u4f7f\u7528 8K MATH\uff08\u95ee\u9898\uff0c\u7b54\u6848\uff09\u5bf9\u3002<\/li>\n\n\n\n<li><strong>SimpleRL<\/strong>\uff1a\u9996\u5148\u8fdb\u884c\u957f\u63a8\u7406\u94fe\uff08long-cot\uff09\u7684\u76d1\u7763\u5fae\u8c03\u4f5c\u4e3a\u9884\u70ed\u3002SFT \u6570\u636e\u662f 8K MATH \u67e5\u8be2\u53ca\u5176\u4ece QwQ-32B-Preview \u84b8\u998f\u5f97\u5230\u7684\u56de\u7b54\u3002\u7136\u540e\uff0c\u4f7f\u7528\u76f8\u540c\u7684 8K MATH \u793a\u4f8b\u8fdb\u884c\u5f3a\u5316\u5b66\u4e60\u3002\u8fd9\u79cd\u9884\u70ed\u7684\u6f5c\u5728\u597d\u5904\u5728\u4e8e\uff0c\u6a21\u578b\u4ece\u4e00\u5f00\u59cb\u5c31\u5904\u4e8e\u957f\u63a8\u7406\u94fe\u6a21\u5f0f\uff0c\u5e76\u4e14\u5df2\u7ecf\u5177\u5907\u81ea\u6211\u53cd\u601d\u80fd\u529b\uff0c\u8fd9\u4f7f\u5f97\u6a21\u578b\u5728\u540e\u7eed\u7684RL\u9636\u6bb5\u80fd\u591f\u66f4\u5feb\u3001\u66f4\u597d\u5730\u5b66\u4e60\u3002<strong>\u8fd9\u4e2a\u8fc7\u7a0b\u5b9e\u9645\u4e0a\u548cdeepSeek-R1\u7684\u6d41\u7a0b\u6709\u5dee\u5f02\uff0cR1\u91c7\u7528\u4e862\u4e2aSFT\u548c2\u4e2aRL\u6d41\u7a0b\u3002<\/strong><\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"538\" src=\"http:\/\/www.sniper97.cn\/wp-content\/uploads\/2025\/04\/image-17-1024x538.png\" alt=\"\" class=\"wp-image-4565\" srcset=\"http:\/\/www.sniper97.cn\/wp-content\/uploads\/2025\/04\/image-17-1024x538.png 1024w, http:\/\/www.sniper97.cn\/wp-content\/uploads\/2025\/04\/image-17-300x158.png 300w, http:\/\/www.sniper97.cn\/wp-content\/uploads\/2025\/04\/image-17-768x403.png 768w, http:\/\/www.sniper97.cn\/wp-content\/uploads\/2025\/04\/image-17.png 1420w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p id=\"ud0179f05\">\u53ef\u4ee5\u770b\u5230 Qwen-2.5-Math-7B-base +SFT\u7684\u6548\u679c\u4e0d\u5982Qwen-2.5-Math-7B-base\uff0c\u7ed3\u5408\u8fd1\u671f\u5927\u91cf\u7814\u7a76\uff0c<strong>SFT\u53ef\u80fd\u5728\u5f88\u591a\u60c5\u51b5\u4e0b\u8d77\u7684\u662f\u6307\u4ee4\u9075\u5faa\u4f5c\u7528<\/strong>\uff0c\u5bf9\u4e8e\u6a21\u578b\u7684\u63a8\u7406\u80fd\u529b\u4e0d\u4e00\u5b9a\u6709\u592a\u5927\u4f5c\u7528\u3002<\/p>\n\n\n\n<p id=\"u73283ad3\">\u9664\u6b64\u4e4b\u5916\uff0c\u4f5c\u8005\u8fd8\u5bf9\u6bd4\u4e86Qwen2.5-Math-7B-Base + 8K QwQ\u84b8\u998f vs Qwen2.5-7B-SimpleRL\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"376\" src=\"http:\/\/www.sniper97.cn\/wp-content\/uploads\/2025\/04\/image-18-1024x376.png\" alt=\"\" class=\"wp-image-4566\" srcset=\"http:\/\/www.sniper97.cn\/wp-content\/uploads\/2025\/04\/image-18-1024x376.png 1024w, http:\/\/www.sniper97.cn\/wp-content\/uploads\/2025\/04\/image-18-300x110.png 300w, http:\/\/www.sniper97.cn\/wp-content\/uploads\/2025\/04\/image-18-768x282.png 768w, http:\/\/www.sniper97.cn\/wp-content\/uploads\/2025\/04\/image-18.png 1416w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p id=\"u7337aa48\">Qwen2.5-7B-SimpleRL \u76f8\u6bd4\u4e8e Qwen2.5-Math-7B-Base + 8K QwQ\u84b8\u998f\uff0c\u5e73\u5747\u7edd\u5bf9\u63d0\u5347\u4e866.9%\u3002\u4f3c\u4e4e\u8fd8\u53ef\u4ee5\uff0c\u4f46\u662f\u76f8\u6bd4\u4e8eZero\u5176\u5b9e\u4ec5\u63d0\u5347\u4e861.2%\u3002<\/p>\n\n\n\n<p id=\"u98eb4758\">\u4f5c\u8005\u5bf9QwQ\u84b8\u998f\u9636\u6bb5\u6ca1\u6709\u6bd4zero\u8bad\u7ec3\u65b9\u6cd5\u4ea7\u751f\u66f4\u5927\u7684\u63d0\u5347\u611f\u5230\u6709\u4e9b\u610f\u5916\uff0c\u56e0\u4e3aQwQ\u662f\u4e00\u4e2a32B\u7684\u76f8\u5bf9\u66f4\u5f3a\u5927\u7684\u957f\u63a8\u7406\u94fe\u6559\u5e08\u6a21\u578b\u3002\u8ba4\u4e3a\u8fd9\u79cd\u73b0\u8c61<strong>\u53ef\u80fd\u662f\u56e0\u4e3aQwQ\u84b8\u998f\u51fa\u7684\u63a8\u7406\u6a21\u5f0f\u5e76\u4e0d\u5b8c\u5168\u9002\u5408\u5c0f\u7b56\u7565\u6a21\u578b<\/strong>\uff0c\u6216\u8005\u8d85\u51fa\u4e86\u5c0f\u7b56\u7565\u6a21\u578b\u7684\u5bb9\u91cf\u3002\u56e0\u6b64\uff0c\u6a21\u578b\u5728RL\u8bad\u7ec3\u8fc7\u7a0b\u4e2d\u9010\u6e10\u6452\u5f03\u4e86\u8fd9\u79cd\u6a21\u5f0f\uff0c\u5e76<strong>\u81ea\u884c\u53d1\u5c55\u51fa\u65b0\u7684\u957f\u63a8\u7406\u6a21\u5f0f<\/strong>\u3002<\/p>\n\n\n\n<p id=\"u6e3af1c5\">\u4f5c\u8005\u5f00\u6e90\u4e86Zero\u7684\u4ee3\u7801\uff0c\u91c7\u7528\u4e86OpenRLHF\u6846\u67b6\uff0cray\u548cvllm\u52a0\u901f\u8bad\u7ec3\u3002\u8be6\u89c1\uff1ahttps:\/\/github.com\/hkust-nlp\/simpleRL-reason\u3002<\/p>\n\n\n\n<h1 class=\"wp-block-heading\" id=\"vjOue\">\u6211\u4eec\u5b9e\u9a8c\u7684\u4e00\u4e9b\u8ba8\u8bba<\/h1>\n\n\n\n<ol>\n<li>format\u548csft\u4e00\u6837\uff0c\u5bf9\u4e8ebase-&gt;rl\u4e5f\u662f\u4e00\u4e2a\u6781\u5176\u7b80\u5355\u7684\u4efb\u52a1\u3002<\/li>\n\n\n\n<li>\u5bf9\u4e8e\u96be\u7684\u4efb\u52a1\uff0c\u6a21\u578b\u66f4\u5bb9\u6613\u4ea7\u751freward hacking\uff0c\u5bf9\u4e8eformat\u8fc7\u5206\u5173\u6ce8\uff0c\u800c\u4e0d\u8fdb\u884c\u6709\u6548\u63a8\u7406\u3002<\/li>\n\n\n\n<li>\u5982\u679c\u5728reward\u8bbe\u8ba1\u4e2d\u6dfb\u52a0\u4e86format reward\u7b49\u975eoutcome reward\uff0c\u5bf9\u6027\u80fd\u662f\u6709\u635f\u4f24\u7684\u3002<\/li>\n\n\n\n<li>\u6574\u4f53RL\u7a33\u5b9a\u6027\u6781\u5176\u4f9d\u8d56\u4e8ereward \u8bbe\u8ba1\u6216reward model\u7a33\u5b9a\u6027\u3002<\/li>\n<\/ol>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"aTuYx\">\u5bf9\u4e8e\u8f93\u51fa\u957f\u5ea6\u7684\u5206\u6790<\/h2>\n\n\n\n<p id=\"u3a857a0c\">\u8bd5\u56fe\u56de\u7b54\u51e0\u4e2a\u95ee\u9898<\/p>\n\n\n\n<ol>\n<li>RL\u662f\u5426\u80fd\u663e\u8457\u589e\u52a0\u6a21\u578b\u7684\u8f93\u51fa\u957f\u5ea6\uff1f<\/li>\n\n\n\n<li>\u8f93\u51fa\u957f\u5ea6\u548c\u51c6\u786e\u7387\u662f\u5426\u6709\u76f8\u5173\u6027\uff1f<\/li>\n\n\n\n<li>\u662f\u5426\u6709format\u68c0\u67e5\u662f\u5426\u5f71\u54cd\u6a21\u578b\u6548\u679c\uff1f<\/li>\n<\/ol>\n\n\n\n<p id=\"u0d15716f\">\u5148\u8bf4\u7b80\u5355\u4efb\u52a1\uff08\u4ee5\u4e0b\u5b9e\u9a8c\u9664\u975e\u7279\u6b8a\u8bf4\u660e\uff0c\u662fformat + match\u7684reward\uff09\uff1a<\/p>\n\n\n\n<p id=\"u095b42b8\">\u5982\u4e0b\u56fe\u53ef\u4ee5\u770b\u5230format\uff08\u7eff\u8272\uff09\u5f88\u5feb\u5c31\u4e0a\u6da8\u5230\u63a5\u8fd11\u7684\u6c34\u5e73\uff0c<strong>\u9a8c\u8bc1\u4e86\u548csft\u7c7b\u4f3c\uff0cformat\u5176\u5b9e\u662f\u5f88\u5bb9\u6613\u5b66\u5230\u7684<\/strong>\u3002<\/p>\n\n\n\n<p id=\"u16abf822\">\u5176\u6b21\u53ef\u4ee5\u53d1\u73b0\uff0c\u6574\u4f53\u4e0a\uff0c\u8bad\u7ec3\u96c6\u3001\u9a8c\u8bc1\u96c6\u4ee5\u53ca\u8f93\u51fa\u957f\u5ea6\u968f\u7740\u8bad\u7ec3step\u7684\u589e\u52a0\u800c\u589e\u52a0\u3002\u4f3c\u4e4e\u8bf4\u660e\u4e86\u8f93\u51fa\u957f\u5ea6\u548cacc\u4e4b\u95f4\u7684\u5173\u7cfb\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/intranetproxy.alipay.com\/skylark\/lark\/0\/2025\/png\/147556570\/1739346074092-ced85085-3180-4311-bcf1-908cf9537336.png\" alt=\"\" title=\"\u5176\u4e2d\uff0c\u7eff\u8272\u4ee3\u8868format\u6b63\u786e\u7387\u3001\u7ea2\u8272\u4ee3\u8868\u8bad\u7ec3\u6570\u636e\u7b54\u6848\u6b63\u786e\u7387\uff0c\u7d2b\u8272\u4ee3\u8868\u9a8c\u8bc1\u96c6\u7b54\u6848\u6b63\u786e\u7387\uff0c\u84dd\u8272\u4ee3\u8868\u5e73\u5747\u8f93\u51fa\u957f\u5ea6\/100\"\/><\/figure>\n\n\n\n<p id=\"u03ec1735\">\u90a3\u771f\u7684\u5c31\u662facc\u548c\u957f\u5ea6\u6210\u6b63\u6bd4\u5417\uff1f\u4f46\u662f\u968f\u7740\u96be\u5ea6\u7684\u589e\u52a0\uff0c\u53d1\u73b0\u8d70\u52bf\u51fa\u73b0\u4e86\u4e00\u70b9\u504f\u5dee\u3002\u8d70\u52bf\u5e76\u4e0d\u50cf\u7b80\u5355\u4efb\u52a1\u4e00\u6837\u5b8c\u7f8e\u8d70\u52bf\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/intranetproxy.alipay.com\/skylark\/lark\/0\/2025\/png\/147556570\/1739349651087-c6f3fbdd-40bc-4526-8e01-21f37c0d6aa7.png\" alt=\"\" title=\"\u9ad8\u96be\u5ea6\u4efb\u52a1\u4f1a\u51fa\u73b0\u660e\u663e\u7684reward hacking\"\/><\/figure>\n\n\n\n<p id=\"u32f5b41a\"><strong>\u51fa\u73b0\u4e86\u660e\u663e\u7684reward hacking<\/strong>\u2014\u2014\u53cd\u6b63\u90fd\u505a\u4e0d\u5bf9\uff0cthink\u91cc\u6709\u6ca1\u6709\u5185\u5bb9\u5c31\u4e0d\u91cd\u8981\u4e86\u3002<\/p>\n\n\n\n<pre id=\"av4T6\" class=\"wp-block-code\"><code>\n\n\u540c\u65f6\uff0c\u76ee\u524d\u5927\u5bb6\u7684\u4e00\u4e9b\u590d\u73b0\u5de5\u4f5c\u4ee5\u53ca\u548c\u76f8\u5173\u590d\u73b0\u540c\u5b66\u7684\u804a\u5929\u770b\uff0c(\u5728\u4e0d\u7ed9\u957f\u5ea6reward\u7684\u60c5\u51b5\u4e0b\uff09\u6574\u4f53\u7a33\u5b9a\u957f\u5ea6\u589e\u957f\u90fd\u662f\u4e00\u4e2a\u6bd4\u8f83\u56f0\u96be\u7684\u95ee\u9898\uff08\u6216\u8005\u8bf4\u662f\u4e00\u4e2a\u5f88\u654f\u611f\u95ee\u9898\uff09\u3002\u4f8b\u5982\u5bf9\u4e8e\u56f0\u96be\u95ee\u9898\u5c31\u4f1a\u51fa\u73b0\u660e\u663e\u7684reward hacking\u5bfc\u81f4\u6a21\u578b\u6574\u4f53\u80fd\u529b\u574d\u584c\u3002\u540c\u65f6\u8fd8\u6709\u4e00\u4e9b\u957f\u5ea6\u5929\u82b1\u677f\u95ee\u9898\uff08\u5982\u4e0b\u56fe\uff0c\u6a21\u578b\u957f\u5ea6\u5728700\u5de6\u53f3\u8d70\u5e73\uff0c\u4e0d\u4f1a\u6301\u7eed\u589e\u957f\uff09\u3002<\/code><\/pre>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/intranetproxy.alipay.com\/skylark\/lark\/0\/2025\/png\/147556570\/1739967478688-99e78d69-1973-4315-83ce-0514d3474f89.png\" alt=\"\" title=\"\"\/><\/figure>\n\n\n\n<p id=\"u78fc317e\">\u597d\u6d88\u606f\u662f\u76ee\u524d\u6211\u4eec\u5bf9\u4e8e\u901a\u8fc7\u4e00\u4e9b\u8bad\u7ec3trick\uff0c\u5728\u6781\u96be\u4efb\u52a1\u4e0a\u4e5f\u5df2\u7ecf\u505a\u5230\u4e862200\u591atoken\u7684\u8f93\u51fa\uff0cacc\u4e5f\u662f\u7a33\u6b65\u4e0a\u6da8\u3002\u53d7\u9650\u4e8e\u6570\u636e\u91cf\uff0c\u6211\u4eec\u5e76\u6ca1\u6709\u7ee7\u7eed\u8fd0\u884c\u4ee5\u89c2\u5bdf\u5230\u957f\u5ea6\u4e0e\u6027\u80fd\u4e0a\u9650\u3002<\/p>\n\n\n\n<p id=\"u4b6b67a3\">\u6574\u4f53\u800c\u8a00\uff0c\u5982\u4f55\u5f15\u5bfc\u6a21\u578b\u8f93\u51fa\u6301\u7eed\u53d8\u957f\u662f\u4e00\u4e2a\u8f83\u5927\u7684\u6311\u6218\u3002\u56e0\u4e3a\u5728\u521d\u671f\u6a21\u578b\u8fd8\u4e0d\u80fd\u6709\u6548\u5b8c\u6210PATTERN\u5bf9\u9f50\u65f6\uff0creward\u8d8b\u52bf\u4e00\u5b9a\u662f\u8ba9\u6a21\u578b\u8f93\u51fa\u66f4\u77ed\u7684\uff08\u56e0\u4e3a\u8981\u8f93\u51fa\u7ec8\u6b62\u7b26\u800c\u4e0d\u662fNext Token Predict\uff09\uff0c\u8fd9\u5c31\u5f88\u5bb9\u6613\u7531\u4e8erule-based reward\u7684\u7a00\u758f\u6027\u5bfc\u81f4\u6a21\u578b\u9677\u5165\u5c40\u90e8\u6700\u4f18\u89e3\u3002<\/p>\n\n\n\n<p id=\"udc34e808\">\u56e0\u6b64\u4f8b\u5982DeepSeek\u7684\u5148\u8fdb\u884csft warmup\u5728\u8fdb\u884c\u5f3a\u5316\u5c31\u662f\u4e00\u4e2a\u8f83\u4e3a\u53ef\u884c\u7684\u65b9\u6848\uff0c\u731c\u6d4b\u4e5f\u662f\u4e00\u4e2atech report\u4e2d\u6ca1\u6709\u63d0\u5230\u7684\u4e00\u4e2a\u52a8\u673a\u3002\u4f46\u662f\u4e5f\u4e0d\u5f97\u4e0d\u627f\u8ba4\uff0c\u5355\u5c31\u5f15\u5bfc\u6a21\u578b\u53d8\u957f\u8fd9\u4e00\u5355\u4e00\u884c\u4e3a\u770b\uff0c\u80fd\u591f\u89e3\u51b3\u7684\u65b9\u6848\u6709\u5f88\u591a\u3002<\/p>\n\n\n\n<p id=\"u15d57667\">\u540c\u65f6\u3002\u6211\u4eec\u8fd8\u89c2\u5bdf\u5230\uff0c\u5bf9\u4e8e\u4e00\u4e9b\u4efb\u52a1\u800c\u8a00\uff0c\u5e76\u4e0d\u662f\u8f93\u51fa\u8d8a\u957f\u8d8a\u597d\uff0c\u4f8b\u5982\u4e0b\u56fe\u5b9e\u9a8c\uff0c\u8bad\u7ec3\u96c6\u548c\u6d4b\u8bd5\u96c6\u7684reward\u6301\u7eed\u589e\u52a0\uff0c\u4f46\u662f\u6587\u672c\u8f93\u51fa\u957f\u5ea6\u5b58\u5728\u8f83\u5927\u7684\u6ce2\u52a8\u3002\u63a8\u6d4b\u53ef\u80fd\u662f\u6709\u4e00\u4e9b\u884c\u4e3a\u6fc0\u53d1\u540e\u6162\u6162\u8fdb\u884c\u6536\u655b\u5bfc\u81f4\u7684\u3002\u4e0d\u8fc7\u76ee\u524d\u8fd8\u662f\u731c\u6d4b\uff0c\u8fd8\u9700\u8981\u8fdb\u4e00\u6b65\u7684\u5206\u6790case\u83b7\u5f97\u66f4\u597d\u5730\u8ba4\u77e5\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/intranetproxy.alipay.com\/skylark\/lark\/0\/2025\/png\/147556570\/1740069404950-34aa00e0-ebea-478a-b841-f7c3826562e1.png\" alt=\"\" title=\"\"\/><\/figure>\n\n\n\n<p id=\"uab69b545\">\u4e0a\u9762\u6240\u6709\u7684\u5b9e\u9a8c\u57fa\u672c\u90fd\u53d1\u751f\u4e86\u968f\u7740RL step\u7684\u8fdb\u884c\uff0c\u6a21\u578bresponse length\u5728\u6301\u7eed\u6574\u5f20\uff0c\u90a3\u662f\u5426\u80fd\u8bc1\u660eRL\u771f\u7684\u80fd\u8ba9\u6a21\u578b\u8f93\u51fa\u53d8\u957f\u5462\uff1f\u8fd8\u662f\u5426\u5b9a\u7b54\u6848\u2014\u2014\u81f3\u5c11\u4e0d\u5168\u662f\u3002\u4f8b\u5982\u5982\u4e0b\u4f8b\u5b50\uff0ctrain\/test sert\u7684reward\u5728\u6301\u7eed\u589e\u957f\uff0c\u4f46\u662f\u8f93\u51fa\u957f\u5ea6\u5728\u663e\u8457\u964d\u4f4e\u3002\u6a21\u578b\u6ca1\u6709\u8fdb\u884c\u826f\u597d\u7684\u63a8\u7406\uff0c\u9000\u5316\u6210\u5e38\u89c4\u7684\u5f3a\u5316\u5b66\u4e60\uff0c\u76f4\u63a5\u5bf9\u7ed3\u679c\u8fdb\u884c\u4f18\u5316\uff0c\u4ece\u800c\u51fa\u73b0\u4e86\u63a8\u7406\u957f\u5ea6\u53d8\u4f4e\uff0c\u4f46\u662f\u6027\u80fd\u5728\u4e0a\u6da8\u7684\u539f\u56e0\u3002<\/p>\n\n\n\n<p id=\"u4f52b4b6\"><strong>\u9700\u8981\u683c\u5916\u4e00\u63d0\uff0c\u4e0b\u56fe\u5b9e\u9a8c\u5e76\u6ca1\u6709\u53d1\u751freward hacking\u3002<\/strong>\u56e0\u6b64RL with reasoning = response length\u53d8\u957f\uff1f\u8fd9\u4e2a\u7b49\u53f7\u4f3c\u4e4e\u4e5f\u662f\u753b\u4e0d\u4e0a\u7684\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/intranetproxy.alipay.com\/skylark\/lark\/0\/2025\/png\/147556570\/1740070309425-1d1545ce-8e84-40fe-91de-dcd56f2cedb5.png\" alt=\"\" title=\"\"\/><\/figure>\n\n\n\n<p id=\"u9b7e1254\">\u800c\u5bf9\u4e8eformat\u7684\u6d88\u878d\u5b9e\u9a8c\u53d1\u73b0\uff0c\u6dfb\u52a0format rule-based \u4f1a\u635f\u4f24\u6a21\u578b\u6027\u80fd\u3002\u548c\u4e0a\u6587\u63d0\u5230\u7684R1 \u6dfb\u52a0\u8bed\u8a00 reward\u4f1a\u6389(\u4e00\u70b9)\u6027\u80fd\u7c7b\u4f3c\u3002\u8bf4\u660e\u548coutcome\u65e0\u5173\u7684\u4e00\u4e9breward\u5728\u4e00\u5b9a\u7a0b\u5ea6\u4e0a\u662f\u4f1a\u5f71\u54cd\u6a21\u578b\u6027\u80fd\u7684\u3002\u4e0d\u8fc7\u5f71\u54cd\u8303\u56f4\u6709\u9650\uff0c\u5bf9\u4e8e\u4e00\u4e9b\u8f83\u4e3a\u91cd\u8981\u7684\u7279\u5f81\u4f9d\u7136\u6709\u4f7f\u7528\u5fc5\u8981\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/intranetproxy.alipay.com\/skylark\/lark\/0\/2025\/png\/147556570\/1740042995499-e16c6491-5a67-4884-a3dc-f97d315b19a3.png\" alt=\"\" title=\"\u5176\u4e2d\uff0c\u7c89\u8272\u4ee3\u8868\u6ca1\u6709format\u7ea6\u675f\uff0c\u7eff\u8272\u4ee3\u8868\u6709format\u7ea6\u675f\"\/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"ALojz\">case show<\/h2>\n\n\n\n<p id=\"u2e2f6571\">\u6211\u4eec\u4e5f\u89c2\u6d4b\u5230\u4e86R1\u8bba\u6587\u4e2d\u63d0\u5230\u7684\u8bed\u8a00\u6df7\u4e71\u95ee\u9898\u3002\u597d\u73a9\u7684\u662f\u601d\u8def\/\u8bed\u4e49\u662f\u8fde\u8d2f\u7684\u3002\u53ea\u4e0d\u8fc7\u67d0\u4e2a\u8bcd\u88ab\u66ff\u6362\u6210\u4e86\u53e6\u4e00\u4e2a\u8bed\u79cd\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/intranetproxy.alipay.com\/skylark\/lark\/0\/2025\/png\/147556570\/1739846988805-4b3a13d1-930a-43a6-af9b-495d5ef868bf.png\" alt=\"\" title=\"\"\/><\/figure>\n\n\n\n<p id=\"u2dd05944\">\u8fd8\u5728\u6781\u96be\u4efb\u52a1\u4e2d\u53d1\u73b0\u4e86\u81ea\u6211\u4fee\u6b63\u7684case\u3002\u524d\u9762\u5206\u6790\u4e86\u5f88\u591a\uff0c\u6700\u540e\u5206\u6790\u51fa\u4e86\u77db\u76fe\u70b9\uff0c\u81ea\u6211\u8fdb\u884c\u6539\u6b63\u5e76\u8f93\u51fa\u7b54\u6848\uff0c\u6574\u4f53\u6a21\u578b\u8f93\u51fa\u8d85\u8fc7\u4e863000 token\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/intranetproxy.alipay.com\/skylark\/lark\/0\/2025\/png\/147556570\/1739846796428-f6393de9-34a2-4c9d-9312-9eba53b7df0f.png\" alt=\"\" title=\"\"\/><\/figure>\n\n\n\n<p id=\"uede1dd58\">\u5728\u7ffb\u8bd1\u4e1a\u52a1\u4e2d\uff0c\u4e5f\u53d1\u73b0\u4e86\u6a21\u578b\u81ea\u53d1\u7684\u5f00\u59cb\u601d\u8003\u8bed\u8a00\u672c\u5730\u5316\u4e0e\u8bcd\u6c47\u63a8\u6572\u3002\u4f8b\u5982\u4e0b\u56fe\u8bf4\u9700\u8981\u601d\u8003\u4e2d\u6587\u548c\u897f\u73ed\u7259\u8bed\u4e4b\u95f4\u7684\u8bed\u6cd5\u3001\u8bcd\u6c47\u3001\u6587\u5316\u7b49\u5dee\u5f02\u3002\u8fd9\u5bf9\u4e00\u4e9b\u672c\u5730\u5316\u7ffb\u8bd1\u548c\u4e1a\u52a1\u7ffb\u8bd1\u63d0\u4f9b\u4e86\u4e00\u4e9b\u6709\u8da3\u7684\u4f18\u5316\u65b9\u5411\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/intranetproxy.alipay.com\/skylark\/lark\/0\/2025\/png\/147556570\/1740020141870-58c22905-270b-4371-82f3-5016e79eaf0a.png\" alt=\"\" title=\"\"\/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"D1VJ8\">\u96be\u70b9<\/h2>\n\n\n\n<ol>\n<li>\u5982DeepSeek\u4f7f\u7528\u4e868000\u6b65\u5f3a\u5316\uff0c\u5b9e\u9645\u4e0a\u4e00\u4e9b\u590d\u73b0\u8868\u793a\u5728\u51e0\u767e\u5c0f\u51e0\u5343step\u65f6\u5c31\u4f1a\u51fa\u73b0\u74f6\u9888\u3002\u5982\u4f55\u505a\u5230\u8fd9\u4e48\u591a\u7684step\u7684\u7a33\u5b9a\uff1f<\/li>\n\n\n\n<li>rule-based reward\u7531\u4e8e\u5176\u7a00\u758f\u6027\u5bfc\u81f4\u6a21\u578b\u6781\u5176\u8106\u5f31\uff0c\u5982\u4f55\u8bbe\u8ba1\u4e00\u4e2a\u826f\u597d\u7684reward\u7cfb\u7edf\uff1f\u5bf9\u4e8e\u4e0d\u540c\u7684\u4efb\u52a1\u662f\u5426\u8981\u8bbe\u8ba1\u4e0d\u540c\u7684reward\u7cfb\u7edf\uff1f<\/li>\n\n\n\n<li>\u5982\u679c\u4f7f\u7528reward model\uff08\u65e0\u8bba\u662freward model\u8fd8\u662f\u5176\u4ed6llm as a judge)\uff0c\u5982\u4f55\u964d\u4f4ereward hacking\u7684\u5f71\u54cd\uff1f<\/li>\n\n\n\n<li>R1\u7684\u4e00\u5927\u4eae\u70b9\u662f\u6cdb\u5316\u6027\u5f88\u597d\uff0c\u8de8\u9886\u57df\u6cdb\u5316\u5982\u4f55\u4fdd\u8bc1\uff1f<\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"<p>\u6458\u8981 (Scaling Test-Time Compute\/Human-like Long Thou 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