{"id":2445,"date":"2025-02-06T22:58:41","date_gmt":"2025-02-06T14:58:41","guid":{"rendered":"https:\/\/tobykskgd.life\/?p=2445"},"modified":"2025-02-06T22:58:43","modified_gmt":"2025-02-06T14:58:43","slug":"105","status":"publish","type":"post","link":"https:\/\/tobykskgd.life\/index.php\/105\/","title":{"rendered":"DeepSeek-R1\u5b66\u4e60\u7b14\u8bb0"},"content":{"rendered":"\n<p>DeepSeek-R1\u662f\u5728DeepSeek V3\u7684\u57fa\u7840\u4e0a\u8fdb\u884c\u7684\uff0c\u5728\u5b9e\u9645\u6548\u679c\u4e0a\u6709\u4e86\u6df1\u5ea6\u601d\u8003\u7684\u80fd\u529b\uff0c\u5927\u5927\u63d0\u9ad8\u4e86\u6a21\u578b\u7684\u6027\u80fd\uff08\u5bf9\u6807OpenAI\u7684O1\u6a21\u578b\uff09\uff0c\u4e5f\u5c31\u662f\u5bf9\u5e94\u5b98\u7f51\u4e0a\u9762\u7684\u8fd9\u4e2a\u6309\u94ae?<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/tobykskgd.life\/wp-content\/uploads\/2025\/02\/\u5c4f\u5e55\u622a\u56fe-2025-02-05-233420.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  loading=\"lazy\" decoding=\"async\" width=\"172\" height=\"60\" data-original=\"https:\/\/tobykskgd.life\/wp-content\/uploads\/2025\/02\/\u5c4f\u5e55\u622a\u56fe-2025-02-05-233420.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\" class=\"wp-image-2446\"\/><\/div><\/figure>\n\n\n\n<p>\u4e0b\u9762\u6765\u7b80\u5355\u6982\u8ff0\u4e00\u4e0b\u672c\u6587[DeepSeek-R1: Incentivizing Reasoning Capability in LLMs via Reinforcement Learning]\u4e3b\u8981\u7684\u51e0\u4e2a\u521b\u65b0\u70b9\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u4f7f\u7528\u7eaf\u5f3a\u5316\u5b66\u4e60\u7684\u65b9\u5f0f\u63d0\u5347\u6a21\u578b\u7684\u63a8\u7406\u80fd\u529b\uff0c\u63d0\u51fa\u4e00\u79cd\u65b0\u7684\u5f3a\u5316\u5b66\u4e60\u8303\u5f0fGRPO\u53d6\u4ee3PPO\u3002<\/li>\n\n\n\n<li>\u63d0\u51fa\u4e00\u79cd\u65b0\u7684\u5b66\u4e60\u6d41\u7a0b<\/li>\n\n\n\n<li>\u63d0\u51fa\u4e00\u79cd\u65b0\u7684\u84b8\u998f\u6a21\u5f0f<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\">\u4e3a\u4f55\u7eaf\u5f3a\u5316\u5b66\u4e60\u53ef\u4ee5\u5e26\u6765\u5982\u6b64\u5353\u8d8a\u7684\u6027\u80fd\uff1f<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">\u4e3b\u6d41\u5927\u6a21\u578b\u7ecf\u5178\u8bad\u7ec3\u6d41\u7a0b\uff08\u534a\u5f3a\u5316\u5b66\u4e60\uff09<\/h3>\n\n\n\n<p>\u5728\u4e86\u89e3\u8fd9\u4e2a\u95ee\u9898\u4e4b\u524d\uff0c\u9700\u8981\u77e5\u9053\u7684\u662f\u524d\u4eba\u662f\u5982\u4f55\u8bad\u7ec3\u5927\u8bed\u8a00\u6a21\u578b\u7684\uff0c\u4e0b\u9762\u662fChatGPT\uff08\u4e0d\u5305\u62ec\u65b0\u7684O1\u6a21\u578b\uff09\u7684\u7ecf\u5178\u5b66\u4e60\u6b65\u9aa4\uff08\u534a\u5f3a\u5316\u5b66\u4e60\uff09\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u9996\u5148\u9884\u8bad\u7ec3\u4e00\u4e2a\u6a21\u578b\u53bb\u9884\u6d4b\u8f93\u51fa\u7684\u4e0b\u4e00\u4e2a\u8bcd\uff0c\u5f97\u5230\u4e00\u4e2a\u5177\u6709\u57fa\u7840\u77e5\u8bc6\u7684\u6a21\u578b\u3002\u3010\u6bd4\u5982\u8bf4input\u201c\u6211\u662f\u201d&#8212;&gt;\u9884\u6d4boutput\u201c\u4eba\u7c7b\u201d\u3011<\/li>\n\n\n\n<li>\u7136\u540e\u4f7f\u7528SFT\uff08\u76d1\u7763\u5fae\u8c03\uff09\u5fae\u8c03\u57fa\u7840\u6a21\u578b\uff0c\u8ba9\u5927\u6a21\u578b\u5b66\u4e60\u5177\u5907\u5bf9\u8bdd\u7684\u80fd\u529b\u3002<\/li>\n\n\n\n<li>\u6700\u540e\u4f7f\u7528\u5f3a\u5316\u5b66\u4e60\u7684\u601d\u60f3\uff0c\u6839\u636e\u4eba\u7c7b\u504f\u597d\uff0c\u8bad\u7ec3\u4e00\u4e2a\u5956\u52b1\u6a21\u578b\uff0c\u5229\u7528PPO\u7b97\u6cd5\u548c\u5956\u52b1\u6a21\u578b\u5fae\u8c03\u5927\u6a21\u578b\u5417\uff0c\u4f7f\u5927\u6a21\u578b\u5b66\u4e60\u5230\u4eba\u7c7b\u7684\u504f\u597d\u3002<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-large\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/tobykskgd.life\/wp-content\/uploads\/2025\/02\/972B34B8-BCE5-4911-97F1-EB1379FFF5C4-1024x602.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"602\" data-original=\"https:\/\/tobykskgd.life\/wp-content\/uploads\/2025\/02\/972B34B8-BCE5-4911-97F1-EB1379FFF5C4-1024x602.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\" class=\"wp-image-2447\"  sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/div><\/figure>\n\n\n\n<p>\u4e0a\u56fe\u662f2022\u5e743\u6708\uff0cOpenAI\u53d1\u8868\u8bba\u6587\uff1aTraining language models to follow instructions with human feedback\uff08\u9075\u5faa\u4eba\u7c7b\u53cd\u9988\u6307\u4ee4\u6765\u8bad\u7ec3\u8bed\u8a00\u6a21\u578b\uff09\u4e2d\u5bf9\u4e0a\u8ff0\u540e\u4e24\u6b65\u7684\u8be6\u89e3\u3002\u8be5\u65b9\u6cd5\u7684\u4e09\u4e2a\u6b65\u9aa4\u7684\u56fe\u8868\uff1a(1)\u76d1\u7763\u5fae\u8c03\uff08SFT\uff09\uff0c(2)\u8bad\u7ec3\u5956\u52b1\u6a21\u578b\uff08RM\uff09\uff0c(3)\u901a\u8fc7\u8be5\u5956\u52b1\u6a21\u578b\u4e0a\u7684\u8fd1\u7aef\u7b56\u7565\u4f18\u5316\uff08PPO\uff09\u8fdb\u884c\u5f3a\u5316\u5b66\u4e60\u3002\u84dd\u8272\u7bad\u5934\u8868\u793a\u8be5\u6570\u636e\u7528\u4e8e\u8bad\u7ec3\u7684\u4e00\u4e2a\u6a21\u578b\u3002<\/p>\n\n\n\n<p>\u800cO1\u6a21\u578b\u5219\u5728\u6b64\u57fa\u7840\u4e0a\u591a\u4e86\u4e00\u4e2a\u6b65\u9aa4\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u4f7f\u7528PRM\u7b49\u6280\u672f\uff0c\u8bc4\u4ef7\u601d\u7ef4\u94fe\uff0c\u5b9e\u73b0\u63a8\u7406\u9636\u6bb5\u7684Scaling law\u3002<\/li>\n<\/ul>\n\n\n\n<p>\u4ee5\u4e0a\u4fbf\u662fChatGPT\u3001Llama\u7b49\u76ee\u524d\u4e3b\u6d41\u5927\u6a21\u578b\u7684\u7ecf\u5178\u8bad\u7ec3\u6b65\u9aa4\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u4e3a\u4f55\u6700\u540e\u4e00\u6b65\u5fc5\u987b\u8981\u7528\u5230\u5f3a\u5316\u5b66\u4e60\u601d\u60f3\uff1f<\/h3>\n\n\n\n<p>\u5982\u679c\u53ea\u770b\u4ee5\u4e0a\u7684\u5b66\u4e60\u6d41\u7a0b\uff0c\u4e5f\u8bb8\u4f1a\u53d1\u73b0\u4e3a\u4f55\u4e00\u5b9a\u9700\u8981\u7b2c\u4e09\u6b65\u8bad\u7ec3\u4e00\u4e2a\u5956\u52b1\u6a21\u578b\u53bb\u8fdb\u884c\u5f3a\u5316\u5b66\u4e60\u5462\uff1f\u65e2\u7136\u6570\u636e\u91cf\u8db3\u591f\u5927\uff0c\u5b8c\u5168\u53ef\u4ee5\u53ea\u7528\u524d\u4e24\u6b65\u7b80\u5355\u7c97\u66b4\u5730\u8bad\u7ec3\u51fa\u6a21\u578b\u3002\u8fd9\u5c31\u9700\u8981\u4e86\u89e3SFT\u7684\u4e00\u4e2a\u9650\u5236\uff0c\u4e5f\u5c31\u662fSFT\u65e0\u6cd5\u63d0\u4f9b\u8d1f\u53cd\u9988\uff0c\u5e76\u4e14\u8fd9\u6837\u8bad\u7ec3\u51fa\u6765\u7684\u6a21\u578b\u4e0d\u5177\u5907\u201c\u5411\u540e\u770b\u201d\u7684\u80fd\u529b\u3002<\/p>\n\n\n\n<p>\u4e5f\u5c31\u662f\u8bf4\u5982\u679c\u53ea\u6309\u7167\u4e0a\u9762\u4e24\u6b65\u7684\u65b9\u5f0f\u53bb\u8bad\u7ec3\u6a21\u578b\u7684\u8bdd\uff0c\u6a21\u578b\u662f\u4e0d\u5177\u5907\u6df1\u5ea6\u601d\u8003\u7684\u63a8\u7406\u80fd\u529b\u7684\u3002\u4e3e\u4e2a\u4f8b\u5b50?<\/p>\n\n\n\n<p>input\uff1aABCDEFG &#8212; &gt; output\uff1aAAA<\/p>\n\n\n\n<p>\u6bd4\u5982\u6211\u4eec\u7684\u6570\u636e\u96c6\u4e2d\u6709\u4e0a\u8ff0\u8f93\u5165\u548c\u8f93\u51fa\uff0c\u4e5f\u5c31\u662f\u6211\u4eec\u544a\u8bc9\u6a21\u578b\u770b\u5230ABCDEFG\u8fd9\u6837\u7684\u5b57\u7b26\u4e32\uff0c\u5c31\u8f93\u51faAAA\u53ef\u4ee5\u5f97\u5230\u5956\u52b1\uff0c\u4f46\u662f\u6211\u4eec\u6ca1\u6709\u544a\u8bc9\u6a21\u578b\u5982\u679c\u770b\u5230BCDEFG\u8fd9\u6837\u7684\u5b57\u7b26\u4e32\uff0c\u8f93\u51faAAA\u662f\u4f1a\u6263\u5206\u7684\uff0c\u56e0\u6b64\u6211\u4eec\u5728\u63d0\u9ad8<em>\u8f93\u5165ABCDEFG\uff0c\u8f93\u51faAAA<\/em>\u7684\u6982\u7387\u7684\u540c\u65f6\u4e5f\u987a\u5e26\u63d0\u9ad8\u4e86<em>\u8f93\u5165BCDEFG\uff0c\u8f93\u51faAAA<\/em>\u7684\u6982\u7387\u3002<\/p>\n\n\n\n<p>\u518d\u4e3e\u4e2a\u4f8b\u5b50\u8bf4\u660e\u4e3a\u4ec0\u4e48\u4e0d\u9760\u5f3a\u5316\u5b66\u4e60\u4f1a\u4f7f\u6a21\u578b\u4e0d\u5177\u5907\u201c\u5411\u540e\u770b\u201d\u7684\u80fd\u529b?<\/p>\n\n\n\n<p>\u6570\u636e\u96c6\u4e2d\u7684\u67d0\u6761\u6570\u636e\u63d0\u5230 &#8212;&gt; \u201c\u4e0a\u6d77\u662f\u4e2d\u56fd\u7684\u9996\u90fd\uff0c\u8fd9\u53e5\u8bdd\u662f\u9519\u8bef\u7684\u201d<\/p>\n\n\n\n<p>\u5bf9\u4e8e\u6a21\u578b\u6765\u8bf4\uff0c\u5b83\u5f97\u5230\u7684\u4fe1\u606f\u5c31\u4f1a\u662f\uff1ainput\uff1a\u201c\u4e0a\u6d77\u662f\u4e2d\u56fd\u7684\u201d &#8212;&gt; output\uff1a\u201c\u9996\u90fd\u201d<\/p>\n\n\n\n<p>\u5f53\u7136\u4e5f\u4e0d\u662f\u8bf4\u8fd9\u6837\u8bad\u7ec3\u51fa\u6765\u7684\u6a21\u578b\u4e00\u5b9a\u6709\u95ee\u9898\uff0c\u4e00\u5b9a\u4f1a\u4f7f\u6a21\u578b\u51fa\u73b0\u201c\u5e7b\u89c9\u201d\u3002\u53ea\u8981\u6570\u636e\u7684\u91cf\u8db3\u591f\u591a\uff0c\u8fd8\u662f\u53ef\u4ee5\u4e00\u5b9a\u7a0b\u5ea6\u4e0a\u7f13\u89e3\u8fd9\u4e2a\u95ee\u9898\u7684\uff0c\u90a3\u4e0a\u9762\u7684\u4f8b\u5b50\u6765\u8bf4\uff0c\u6bd4\u5982\u6570\u636e\u96c6\u4e2d\u53e6\u6709\u4e00\u6761\u6570\u636e\u63d0\u5230\uff0c\u201c\u4e0a\u6d77\u662f\u4e2d\u56fd\u7684\u76f4\u8f96\u5e02\u201d\uff0c\u90a3\u4e48\u5c31\u53ef\u4ee5\u89e3\u51b3\u4e0a\u9762\u7684\u8fd9\u4e2a\u95ee\u9898\u3002\u4e0d\u8fc7\u8bdd\u53c8\u8bf4\u56de\u6765\uff0c\u5982\u679c\u771f\u662f\u5982\u6b64\u5c0f\u5c0f\u7684\u95ee\u9898\u90fd\u53ef\u80fd\u5f15\u53d1\u6a21\u578b\u51fa\u73b0\u5e7b\u89c9\uff0c\u90a3\u4e48\u8bad\u7ec3\u6a21\u578b\u7684\u65f6\u5019\u5bf9\u6570\u636e\u96c6\u7684\u8981\u6c42\u662f\u5de8\u5927\u7684\u3002<\/p>\n\n\n\n<p>\u603b\u7ed3\u6765\u8bf4\uff0cSFT\u53ea\u80fd\u6559\u4f1a\u6a21\u578b\u5982\u4f55\u505a\u6b63\u786e\u7684\u4e8b\uff0c\u4f46\u662f\u6ca1\u6709\u8003\u8651\u6bcf\u6761\u6837\u672c\u5bf9\u6574\u7406\u7684\u7efc\u5408\u5f71\u54cd\u3010\u5fae\u89c2\u3011\u3002\u800c\u5f3a\u5316\u5b66\u4e60\u7684\u601d\u60f3\u5176\u5b9e\u53cd\u9988\u7c92\u5ea6\u662f\u6574\u4e2a\u6587\u672c\uff0c\u56e0\u6b64\u5f3a\u5316\u5b66\u4e60\u66f4\u52a0\u8003\u8651\u6574\u4f53\u7684\u5f71\u54cd\u3010\u5b8f\u89c2\u3011\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u5f3a\u5316\u5b66\u4e60\u7684\u51e0\u4e2a\u65b9\u6cd5<\/h3>\n\n\n\n<p>\u76ee\u524d\u5927\u6a21\u578b\u4e3b\u8981\u7528\u5230\u7684\u5f3a\u5316\u5b66\u4e60\u65b9\u6cd5\u4e3b\u8981\u6709\uff1aPPO\u3001DPO\u548cGRPO\u3002<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>PPO\u662fChatGPT\u4f7f\u7528\u7684\u65b9\u6cd5\uff0c\u7406\u8bba\u4e0a\u6765\u8bf4\u662f\u6709\u6700\u597d\u6548\u679c\u7684\u3002<\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li>DPO\u662fLlama\u4f7f\u7528\u7684\u65b9\u6cd5\uff0c\u7406\u8bba\u4e0a\u6765\u8bf4\u901f\u5ea6\u662f\u6700\u5feb\u7684\u3002<\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li>GRPO\u662fDeepSeek\u4f7f\u7528\u7684\u65b9\u6cd5\uff0c\u7406\u8bba\u4e0a\u6765\u8bf4\u662f\u6700\u4fbf\u5b9c\u7684\u3002<\/li>\n<\/ul>\n\n\n\n<p>\u4e0d\u8fc7\u4ee5\u4e0a\u4e09\u4e2a\u65b9\u6cd5\u6838\u5fc3\u601d\u60f3\u90fd\u662f\u4e00\u6837\u7684\uff1a<strong>\u63d0\u9ad8\u83b7\u5f97\u9ad8\u5956\u52b1token\u7684\u6982\u7387\uff0c\u964d\u4f4e\u83b7\u5f97\u4f4e\u5956\u52b1token\u7684\u6982\u7387<\/strong>\u3002<\/p>\n\n\n\n<p>\u800c\u4e09\u4e2a\u65b9\u6cd5\u5b9e\u65bd\u4e0a\u7684\u4e0d\u540c\u70b9\u4e3b\u8981\u4f53\u73b0\u5728<em>\u5956\u52b1\u6743\u91cd<\/em>\u548c<em>\u6570\u636e\u91c7\u6837<\/em>\u4e0a\u9762\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">DeepSeek-R1-Zero<\/h3>\n\n\n\n<p>DeepSeek-R1-Zero\u662f<em>DeepSeek-AI<\/em>\u63d0\u51fa\u7684\u5177\u6709\u5b9e\u9a8c\u6027\u8d28\u7684\u6a21\u578b\uff0c\u4e3b\u8981\u7684\u76ee\u7684\u662f\u6280\u672f\u65b9\u9762\u7684\u63a2\u7d22\u3002<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>DeepSeek-R1-Zero<\/strong>\uff1a\u8fd9\u662f\u9996\u4e2a\u901a\u8fc7\u7eaf\u5f3a\u5316\u5b66\u4e60\uff08RL\uff09\u8bad\u7ec3\u800c\u65e0\u9700\u76d1\u7763\u5fae\u8c03\uff08SFT\uff09\u5373\u53ef\u663e\u8457\u63d0\u5347\u63a8\u7406\u80fd\u529b\u7684\u6a21\u578b\u3002\u5b83\u5728\u8bad\u7ec3\u8fc7\u7a0b\u4e2d\u81ea\u7136\u5730\u6d8c\u73b0\u51fa\u591a\u79cd\u5f3a\u5927\u7684\u63a8\u7406\u884c\u4e3a\uff0c\u4f8b\u5982\u81ea\u9a8c\u8bc1\u3001\u53cd\u601d\u548c\u751f\u6210\u957f\u94fe\u63a8\u7406\u8fc7\u7a0b\uff08Chain-of-Thought, CoT\uff09\u3002\u6a21\u578b\u5728AIME 2024\u7b49\u63a8\u7406\u57fa\u51c6\u6d4b\u8bd5\u4e2d\u8868\u73b0\u51fa\u8272\uff0cpass@1\u5206\u6570\u4ece15.6%\u63d0\u5347\u81f371.0%\uff0c\u63a5\u8fd1OpenAI\u7684o1-0912\u6a21\u578b\u6027\u80fd\u3002<\/li>\n\n\n\n<li><strong>\u81ea\u8fdb\u5316\u8fc7\u7a0b<\/strong>\uff1aDeepSeek-R1-Zero\u5728\u8bad\u7ec3\u8fc7\u7a0b\u4e2d\u5c55\u793a\u4e86\u663e\u8457\u7684\u81ea\u8fdb\u5316\u80fd\u529b\uff0c\u968f\u7740RL\u8bad\u7ec3\u7684\u8fdb\u884c\uff0c\u6a21\u578b\u9010\u6e10\u5b66\u4f1a\u5206\u914d\u66f4\u591a\u601d\u8003\u65f6\u95f4\u6765\u89e3\u51b3\u590d\u6742\u95ee\u9898\uff0c\u5e76\u81ea\u53d1\u5730\u53d1\u5c55\u51fa\u8bf8\u5982\u53cd\u601d\u548c\u63a2\u7d22\u591a\u79cd\u89e3\u9898\u65b9\u6cd5\u7b49\u9ad8\u7ea7\u884c\u4e3a\u3002<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">\u5f3a\u5316\u5b66\u4e60\u7684\u5956\u52b1\u65b9\u6cd5<\/h3>\n\n\n\n<p>\u4e0b\u9762\u5c06\u5bf9\u6bd4\u5f3a\u5316\u5b66\u4e60\u7684\u4e24\u79cd\u8bad\u7ec3\u65f6\u5019\u7684\u5956\u52b1\u65b9\u6cd5\uff0c\u4ee5\u6b64\u8bf4\u660eDeepSeek-R1-Zero\u7684\u4f18\u8d8a\u6027\u3002<\/p>\n\n\n\n<p>\u4e4b\u524d\u4e3b\u6d41\u7684\u5927\u6a21\u578b\u5982ChatGPT\u3001Llama\u7b49\u6a21\u578b\uff0c\u90fd\u662f\u9762\u5411\u8fc7\u7a0b\u7684\u5956\u52b1\uff0c\u4e5f\u5c31\u662f\u6bcf\u4e2a\u6b65\u9aa4step\u90fd\u5bf9\u5e94\u4e00\u4e2a\u5956\u52b1\uff08PRM\uff09\u3002\u8fd9\u6837\u505a\u53ef\u4ee5\u4fdd\u8bc1\u6bcf\u4e00\u6b65\u90fd\u8fdb\u884c\u7cbe\u786e\u6821\u6b63\u548c\u4f18\u5316\uff0c\u4f46\u662f\u8fd9\u6837\u505a\u7684\u574f\u5904\u5c31\u662f\u6bcf\u4e00\u6b65\u90fd\u9700\u8981\u6570\u636e\u7684\u6807\u6ce8\uff0c\u8fd9\u6837\u5c31\u4f1a\u6709\u5de8\u5927\u7684\u6210\u672c\uff0c\u5b58\u5728Reward hacking\uff08\u5956\u52b1\u4f5c\u5f0a\uff09\u3002<\/p>\n\n\n\n<p>\u800cDeepSeek-R1-Zero\u4f7f\u7528\u7684\u662f\u9762\u73b0\u8c61\u7ed3\u679c\u7684\u5956\u52b1\uff08ORM\uff09\u3002\u8fd9\u6837\u505a\u7684\u597d\u5904\u5c31\u662f\u53ea\u9700\u8981\u6807\u6ce8\u6700\u7ec8\u6b63\u786e\u7ed3\u679c\uff0c\u6807\u6ce8\u8d77\u6765\u6bd4\u8f83\u7b80\u5355\uff0c\u4f46\u662f\u7f3a\u70b9\u662f\u8fc7\u7a0b\u4e2d\u7684\u5956\u52b1\u7a00\u758f\uff0c\u53ef\u80fd\u56e0\u4e3a\u4e2d\u95f4\u8fc7\u7a0b\u7684\u51fa\u9519\u5bfc\u81f4\u7ed3\u679c\u6709\u8bef\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Proximal Policy Optimization\uff08PPO\u7b97\u6cd5\uff09<\/h3>\n\n\n\n<p>\u4f9d\u65e7\u8fd8\u662f\u65e0\u6cd5\u7ed5\u5f00\u5f3a\u5316\u5b66\u4e60\u7684\u5177\u4f53\u5185\u5bb9\uff0c\u4f46\u662f\u5f3a\u5316\u5b66\u4e60\u4e0e\u6df1\u5ea6\u5b66\u4e60\u5e76\u5217\u662f\u4e00\u95e8\u535a\u5927\u7cbe\u6df1\u7684\u79d1\u76ee\uff0c\u5e76\u4e14\u5f3a\u5316\u5b66\u4e60\u9700\u8981\u6781\u5f3a\u7684\u6570\u5b66\u529f\u5e95\uff0c\u4f5c\u4e3a\u6e23\u6e23\u7684\u6211\u81ea\u7136\u662f\u65e0\u6cd5\u5fae\u5fae\u8be6\u7ec6\u9053\u6765\uff0c\u56e0\u6b64\u6211\u51c6\u5907\u501f\u52a9AI\u7684\u529b\u91cf\u7b80\u5355\u5b66\u4e60\u4e86\u89e3PPO\uff0cProximal Policy Optimization Algorithms\u662fOpenAI\u57282017\u5e74\u53d1\u8868\u7684\u540c\u540d\u6587\u7ae0\u4e2d\u63d0\u51fa\u7684\u3002<\/p>\n\n\n\n<p>\u9996\u5148PPO\u63d0\u51fa\u7684\u76ee\u7684\u662f\u6539\u5584\u6df1\u5ea6\u5f3a\u5316\u5b66\u4e60\u4e2d\u7684\u7b56\u7565\u4f18\u5316\u95ee\u9898\u3002PPO\u7684\u63d0\u51fa\u662f\u4e3a\u4e86\u89e3\u51b3\u4f20\u7edf\u7b56\u7565\u4f18\u5316\u65b9\u6cd5\uff08\u5982TRPO\uff09\u5728\u5b9e\u9645\u5e94\u7528\u4e2d\u7684\u4e00\u4e9b\u95ee\u9898\uff0c\u5982\u8ba1\u7b97\u6210\u672c\u8fc7\u9ad8\u3001\u5bf9\u8d85\u53c2\u6570\u7684\u654f\u611f\u6027\u8f83\u5f3a\u7b49\u3002<\/p>\n\n\n\n<p>PPO\u7684\u6838\u5fc3\u601d\u60f3\u662f\u901a\u8fc7<strong>\u9650\u5236\u7b56\u7565\u66f4\u65b0\u7684\u5e45\u5ea6<\/strong>\uff0c\u907f\u514d\u5728\u6bcf\u6b21\u8fed\u4ee3\u4e2d\u8fdb\u884c\u8fc7\u5927\u6216\u8fc7\u5c0f\u7684\u66f4\u65b0\u3002<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">PPO\u7684\u76ee\u6807\u51fd\u6570\u8bbe\u8ba1<\/h4>\n\n\n\n<p>PPO\u901a\u8fc7\u4f7f\u7528<strong>\u526a\u5207\u7684\u76ee\u6807\u51fd\u6570<\/strong>\u6765\u7ea6\u675f\u7b56\u7565\u7684\u66f4\u65b0\uff0c\u4f7f\u5f97\u66f4\u65b0\u540e\u7684\u7b56\u7565\u4e0d\u4f1a\u504f\u79bb\u539f\u7b56\u7565\u592a\u8fdc\u3002\u76ee\u6807\u51fd\u6570\u5f62\u5f0f\u5982\u4e0b\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/tobykskgd.life\/wp-content\/uploads\/2025\/02\/4712EC27-8E34-425E-8B16-BCB62E26FEFE-1024x120.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"120\" data-original=\"https:\/\/tobykskgd.life\/wp-content\/uploads\/2025\/02\/4712EC27-8E34-425E-8B16-BCB62E26FEFE-1024x120.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\" class=\"wp-image-2459\"  sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/div><\/figure>\n\n\n\n<p>\u5176\u4e2dr<sub>t<\/sub>(\u03b8)\u662f\u5f53\u524d\u7b56\u7565\u548c\u65e7\u7b56\u7565\u7684\u6982\u7387\u6bd4\u7387\uff0c\u8ba1\u7b97\u65b9\u5f0f\u662f\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/tobykskgd.life\/wp-content\/uploads\/2025\/02\/C5CF090B-55E3-4766-95DC-25286BBA8698-1024x163.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"163\" data-original=\"https:\/\/tobykskgd.life\/wp-content\/uploads\/2025\/02\/C5CF090B-55E3-4766-95DC-25286BBA8698-1024x163.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\" class=\"wp-image-2461\"  sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/div><\/figure>\n\n\n\n<p>A<sup>^<\/sup><sub>t<\/sub>\u662f\u4f18\u52bf\u51fd\u6570\uff08advantage function\uff09\uff0c\u8868\u793a\u67d0\u4e2a\u52a8\u4f5c\u76f8\u5bf9\u4e8e\u67d0\u79cd\u57fa\u51c6\u52a8\u4f5c\u7684\u4f18\u52bf\u3002<\/p>\n\n\n\n<p>\u03f5\u662f\u4e00\u4e2a\u8d85\u53c2\u6570\uff0c\u7528\u4e8e\u63a7\u5236\u7b56\u7565\u66f4\u65b0\u7684\u8303\u56f4\u3002<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">PPO\u7684\u526a\u5207\u673a\u5236<\/h4>\n\n\n\n<p>\u901a\u8fc7\u5bf9r<sub>t<\/sub>(\u03b8)\u8fdb\u884c<strong>\u526a\u5207<\/strong>\uff0cPPO\u9650\u5236\u4e86\u6bcf\u6b21\u7b56\u7565\u66f4\u65b0\u7684\u5e45\u5ea6\u3002\u5982\u679cr<sub>t<\/sub>(\u03b8)\u8d85\u8fc7\u4e86 1\u00b1\u03f5 \u7684\u8303\u56f4\uff0c\u7b97\u6cd5\u5c06\u9009\u62e9\u4e0d\u8d85\u8fc7\u8fd9\u4e2a\u8303\u56f4\u7684\u66f4\u65b0\u503c\u3002\u8fd9\u79cd\u65b9\u6cd5\u53ef\u4ee5\u6709\u6548\u907f\u514d\u8fc7\u5927\u7684\u7b56\u7565\u66f4\u65b0\u5bfc\u81f4\u7b56\u7565\u5d29\u6e83\uff0c\u540c\u65f6\u4e5f\u907f\u514d\u4e86\u8fc7\u4e8e\u4fdd\u5b88\u7684\u66f4\u65b0\u3002<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">\u4f18\u52bf\u51fd\u6570<\/h4>\n\n\n\n<p>PPO\u5229\u7528<strong>\u4f18\u52bf\u51fd\u6570<\/strong>\u6765\u6307\u5bfc\u7b56\u7565\u7684\u4f18\u5316\u3002\u4f18\u52bf\u51fd\u6570\u7684\u76ee\u7684\u662f\u8bc4\u4f30\u5f53\u524d\u72b6\u6001\u4e0b\u91c7\u53d6\u67d0\u4e2a\u52a8\u4f5c\u7684\u597d\u574f\uff0c\u8861\u91cf\u5f53\u524d\u52a8\u4f5c\u4e0e\u57fa\u51c6\u52a8\u4f5c\uff08\u901a\u5e38\u662f\u5f53\u524d\u7b56\u7565\u7684\u52a8\u4f5c\uff09\u76f8\u6bd4\u7684\u4f18\u52bf\u3002<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">PPO\u7b97\u6cd5\u7684\u4f18\u70b9<\/h4>\n\n\n\n<p>PPO\u7684\u4e00\u4e2a\u4f18\u70b9\u662f\u76f8\u5bf9\u7b80\u5355\uff0c\u5b83\u4e0d\u50cfTRPO\u90a3\u6837\u9700\u8981\u8ba1\u7b97\u590d\u6742\u7684\u81ea\u7136\u68af\u5ea6\uff0c\u56e0\u6b64\u5728\u5b9e\u9645\u5e94\u7528\u4e2d\uff0cPPO\u901a\u5e38\u80fd\u591f\u66f4\u9ad8\u6548\u5730\u8fdb\u884c\u8bad\u7ec3\u3002<\/p>\n\n\n\n<p>PPO\u662f\u4e00\u79cd<strong>\u8fd1\u7aef\u7b56\u7565\u4f18\u5316<\/strong>\u65b9\u6cd5\uff0c\u56e0\u6b64\u80fd\u591f\u5728\u8bad\u7ec3\u8fc7\u7a0b\u4e2d\u4fdd\u6301\u76f8\u5bf9\u7a33\u5b9a\u7684\u6027\u80fd\uff0c\u907f\u514d\u4e86\u4f20\u7edf\u5f3a\u5316\u5b66\u4e60\u65b9\u6cd5\u4e2d\u7684\u5267\u70c8\u6ce2\u52a8\u3002\u6b64\u5916\uff0cPPO\u901a\u5e38\u80fd\u5728\u591a\u4e2a\u9886\u57df\u4e2d\u8868\u73b0\u51fa\u8272\uff0c\u5c24\u5176\u662f\u5728\u57fa\u4e8e\u7b56\u7565\u68af\u5ea6\u7684\u6df1\u5ea6\u5f3a\u5316\u5b66\u4e60\u4efb\u52a1\u4e2d\uff0c\u5982\u6e38\u620f\u3001\u673a\u5668\u4eba\u63a7\u5236\u7b49\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Group Relative Policy Optimization\uff08GRPO\uff09<\/h3>\n\n\n\n<p>GRPO\u5c31\u662fDeepSeek\u56e2\u961f\u57282024\u5e74\u5728<em>DeepSeekMath: Pushing the Limits of Mathematical Reasoning in Open Language Models<\/em>\u6587\u7ae0\u4e2d\u63d0\u51fa\u7684\u57fa\u4e8ePPO\u57fa\u7840\u4e0a\u7684\u5f3a\u5316\u5b66\u4e60\u65b9\u6cd5\u3002<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">GRPO\u4e0ePPO\u7684\u5bf9\u6bd4<\/h4>\n\n\n\n<p>\u56e0\u4e3a\u672c\u4eba\u672a\u66fe\u6d89\u53ca\u5f3a\u5316\u5b66\u4e60\u7684\u5185\u5bb9\uff0c\u8fd9\u4e00\u90e8\u5206\u7684\u7406\u89e3\u5c5e\u5b9e\u56f0\u96be\uff0c\u8fd9\u91cc\u76f4\u63a5\u501f\u7528\u77e5\u4e4e\u5927\u4f6c<a href=\"https:\/\/www.zhihu.com\/people\/xiao-yu-10-34-49\">@\u77e5\u884c\u8005<\/a>\u7684\u89c2\u70b9\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/tobykskgd.life\/wp-content\/uploads\/2025\/02\/\u5c4f\u5e55\u622a\u56fe-2025-02-06-213328-1024x490.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"490\" data-original=\"https:\/\/tobykskgd.life\/wp-content\/uploads\/2025\/02\/\u5c4f\u5e55\u622a\u56fe-2025-02-06-213328-1024x490.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\" class=\"wp-image-2468\"  sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/div><\/figure>\n\n\n\n<ol class=\"wp-block-list\"><\/ol>\n\n\n\n<p>GRPO \u4e0ePPO \u7684\u4e3b\u8981\u533a\u522b\u6709\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>GRPO<strong>\u7701\u7565\u4e86Value Model<\/strong>.<\/li>\n\n\n\n<li>GRPO reward\u8ba1\u7b97\uff0c<strong>\u6539\u6210\u4e86\u4e00\u4e2aq\u751f\u6210\u591a\u4e2ar,<\/strong> \u7136\u540ereward \u6253\u5206\u3002<\/li>\n\n\n\n<li>PPO\u4f18\u52bf\u51fd\u6570\u8ba1\u7b97\u65f6\uff0c<strong>KL \u662f\u5305\u542b\u5728GAE\u5185\u90e8\u7684<\/strong>\u3002 <strong>GRPO \u76f4\u63a5\u632a\u5230\u4e86\u5916\u9762<\/strong>\uff0c\u540c\u65f6\u4fee\u6539\u4e86\u8ba1\u7b97\u65b9\u6cd5\u3002<\/li>\n<\/ul>\n\n\n\n<h4 class=\"wp-block-heading\">GRPO\u7684\u4f18\u5316<\/h4>\n\n\n\n<p>DeepSeek\u56e2\u961f<strong>\u8ba4\u4e3avalue function model \u5360\u7528\u4e86\u989d\u5916\u7684\u663e\u5b58\u548c\u8ba1\u7b97\u8d44\u6e90<\/strong>\u3002\u56e0\u6b64\u63d0\u51fa\u4ee5\u4e0b\u7684\u6539\u8fdb\u65b9\u6cd5\u3002<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u53bb\u9664value function, reward\u76f4\u63a5\u5bf9\u5355\u4e2aq\u751f\u6210\u7684response\u8fdb\u884c\u6253\u5206\uff0c\u5f52\u4e00\u5316\u540e\uff0c\u4f5c\u4e3a\u66ff\u4ee3\u7684\u4f18\u52bf\u51fd\u6570\u3002<\/li>\n\n\n\n<li>\u540c\u65f6\u5c06KL\u6563\u5ea6\u6291\u5236\uff0c\u79fb\u5230\u4e86\u4f18\u52bf\u51fd\u6570\u8ba1\u7b97\u7684\u5916\u9762\u3002KL\u6563\u5ea6\u7684\u8ba1\u7b97\u4e5f\u8fdb\u884c\u4e86\u6539\u8fdb\uff0c\u53ef\u4ee5\u89c1\u516c\u5f0f4. \u4e3a\u4e86\u4fdd\u8bc1KL\u6563\u5ea6\u4e3a\u6b63\u503c\u3002<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-large\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/tobykskgd.life\/wp-content\/uploads\/2025\/02\/34FF5FB4-9921-4E3C-A33A-B9229FF99B22-1024x288.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"288\" data-original=\"https:\/\/tobykskgd.life\/wp-content\/uploads\/2025\/02\/34FF5FB4-9921-4E3C-A33A-B9229FF99B22-1024x288.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\" class=\"wp-image-2472\"  sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/div><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/tobykskgd.life\/wp-content\/uploads\/2025\/02\/0BC15A2A-14B4-4569-B6ED-1345B4A09A77-1024x149.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"149\" data-original=\"https:\/\/tobykskgd.life\/wp-content\/uploads\/2025\/02\/0BC15A2A-14B4-4569-B6ED-1345B4A09A77-1024x149.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\" class=\"wp-image-2471\"  sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/div><\/figure>\n\n\n\n<p>\u4e0b\u9762\u662f\u57fa\u4e8egroup reward\u8ba1\u7b97\u4f18\u52bf\u51fd\u6570\u7684\u5f52\u4e00\u5316\u516c\u5f0f\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/tobykskgd.life\/wp-content\/uploads\/2025\/02\/113D08EB-1CCF-4436-8AB2-8DE9BD9D025F-1024x277.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"277\" data-original=\"https:\/\/tobykskgd.life\/wp-content\/uploads\/2025\/02\/113D08EB-1CCF-4436-8AB2-8DE9BD9D025F-1024x277.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\" class=\"wp-image-2474\"  sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/div><\/figure>\n\n\n\n<h4 class=\"wp-block-heading\">GRPO\u4e2d\u7684\u5956\u52b1\u6a21\u5f0f<\/h4>\n\n\n\n<p>\u4e0a\u56fe\u4e2dDeepSeek\u56e2\u961f\u5728Reward Model\u4e2d\u4f7f\u7528\u7684\u4e3a\u4ee5\u4e0b\u4e24\u79cd\u5956\u52b1\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u51c6\u786e\u6027\u5956\u52b1\uff08Accuracy Reward\uff09\uff1a\u68c0\u67e5\u6a21\u578b\u6700\u7ec8\u8f93\u51fa\u7684\u7b54\u6848\u662f\u5426\u6b63\u786e<\/li>\n\n\n\n<li>\u683c\u5f0f\u5956\u52b1\uff08Fromat Rewards\uff09\uff1aCoT\u662f\u5426\u4ee5\u8981\u6c42\u7684\u683c\u5f0f\u8f93\u51fa<\/li>\n<\/ul>\n\n\n\n<p>\u90a3\u4e48\u8fd9\u6837\u505a\u7684\u96be\u70b9\u5c31\u5728\u4e8e\uff1a\u4f9d\u8d56\u4eba\u7684\u7cbe\u5fc3\u8bbe\u8ba1\u3002\u4f46\u662f\u4f18\u70b9\u5c31\u662f\u53ef\u4ee5\u5f88\u597d\u7684\u89e3\u51b3\u6b64\u524d\u4e3b\u6d41\u5927\u6a21\u578b\u4e2d\u7684\u5956\u52b1\u6a21\u578b\u5b58\u5728\u7684\u95ee\u9898\uff0c\u5305\u62ec\u8bad\u7ec3\u6570\u636e\u7684\u6536\u96c6\u548cReward Hacking\u3002<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">GRPO\u7684\u8ba1\u7b97\u6d41\u7a0b<\/h4>\n\n\n\n<p>GRPO\u7684\u8ba1\u7b97\u6d41\u7a0b\u5305\u62ec\uff1a<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u91c7\u6837\u4e00\u7ec4\u8f93\u51fa\u5e76\u8ba1\u7b97\u6bcf\u4e2a\u8f93\u51fa\u7684\u5956\u52b1\u3002<\/li>\n\n\n\n<li>\u5bf9\u7ec4\u5185\u5956\u52b1\u8fdb\u884c\u5f52\u4e00\u5316\u5904\u7406\u3002<\/li>\n\n\n\n<li>\u4f7f\u7528\u5f52\u4e00\u5316\u540e\u7684\u5956\u52b1\u8ba1\u7b97\u4f18\u52bf\u51fd\u6570\u3002<\/li>\n\n\n\n<li>\u901a\u8fc7\u6700\u5927\u5316\u76ee\u6807\u51fd\u6570\u66f4\u65b0\u7b56\u7565\u6a21\u578b\u3002<\/li>\n\n\n\n<li>\u8fed\u4ee3\u8bad\u7ec3\uff0c\u9010\u6b65\u4f18\u5316\u7b56\u7565\u6a21\u578b\u3002<\/li>\n<\/ol>\n\n\n\n<h2 class=\"wp-block-heading\">DeepSeek-R1-Zero\u7684\u8bad\u7ec3\u6d41\u7a0b<\/h2>\n\n\n\n<p>DeepSeek-R1-Zero\u6a21\u578b\u8bad\u7ec3\u65f6\u4e0d\u901a\u8fc7\u4efb\u4f55SFT\u65b9\u5f0f\uff0c\u800c\u662f\u4ec5\u4f7f\u7528\u5f3a\u5316\u5b66\u4e60+\u89c4\u5219\u5956\u52b1\u6a21\u578b\uff0c\u5c31\u80fd\u6fc0\u53d1\u6a21\u578b\u4ea7\u51fa\u5e26\u53cd\u601d\u7684\u957f\u601d\u7ef4\u94fe\u3002\u548c\u524d\u9762\u8bf4\u7684\u4e00\u6837\uff0cDeepSeek-R1-Zero\u4f7f\u7528\u7684\u662f\u7aef\u5230\u7aef\uff08end2end\uff09\u65b9\u5f0f\uff0c\u662f\u9762\u73b0\u8c61\u7ed3\u679c\u7684\u5956\u52b1\u3002\u5bf9\u6bd4OpenAI\u7684O1\u6a21\u578b\uff08\u751f\u6210\u601d\u7ef4\u94fe\uff0c\u901a\u8fc7\u6a21\u578b\u8fdb\u884c\u6253\u5206\uff0c\u6216\u8005MCTS\u65b9\u5f0f\u8fdb\u884c\u641c\u7d22\u3002\u4e5f\u5c31\u662f\u524d\u9762\u8bf4\u7684\u9762\u5411\u8fc7\u7a0b\u7684\u65b9\u5f0f\uff09\uff0c\u5927\u5927\u51cf\u5c11\u4e86\u8bad\u7ec3\u7684\u6210\u672c\u3002<\/p>\n\n\n\n<p>\u4e0b\u8868\u4e3aDeepSeek-R1-Zero\u8bad\u7ec3\u65f6\u7684\u6570\u636e\u96c6\u683c\u5f0f\u3002\u6574\u4f53\u7684prompt\u63d0\u793a\u7531sys_msg+question\u7ec4\u6210\u3002sys_msg\u53ef\u4ee5\u7406\u89e3\u4e3a\u6211\u4eec\u7ed9\u6a21\u578b\u8bbe\u5b9a\u7684\u89d2\u8272\uff0c\u6a21\u578b\u5728\u56de\u7b54\u7684\u65f6\u5019\u9700\u8981\u9075\u5b88\u7684\u9ed8\u8ba4\u89c4\u5219\uff08\u6bd4\u5982\u8bbe\u5b9a\u5bf9\u8bdd\u7684\u5bf9\u8c61\u662f\u732b\u5a18\u4e4b\u7c7b\u7684\uff09\uff0cquestion\u5c31\u662f\u6211\u4eec\u5bf9\u6a21\u578b\u63d0\u51fa\u7684\u95ee\u9898\uff0c\u4e5f\u5c31\u662f\u6a21\u578b\u7684\u8f93\u5165\u3002\u5728\u524d\u671f\u6784\u5efa\u5b8c\u4e0b\u8868\u7ed3\u6784\u7684\u6570\u636e\u96c6\u4e4b\u540e\uff0cDeepSeek-R1-Zero\u76f4\u63a5\u505a\u5f3a\u5316\u5b66\u4e60\uff0c\u4e5f\u5c31\u662f\u76f4\u63a5GRPO\u5b8c\u6210\u4e86\u6a21\u578b\u7684\u8bad\u7ec3\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/tobykskgd.life\/wp-content\/uploads\/2025\/02\/5AEB8DAF-AB7C-42BE-B733-7BB11202F5C6-1024x248.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"248\" data-original=\"https:\/\/tobykskgd.life\/wp-content\/uploads\/2025\/02\/5AEB8DAF-AB7C-42BE-B733-7BB11202F5C6-1024x248.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\" class=\"wp-image-2477\"  sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/div><\/figure>\n\n\n\n<p>\u4e0b\u56fe\u5c31\u662fDeepSeek-R1-Zero\u8bad\u7ec3\u65f6\u5019\u7684\u5e73\u5747\u56de\u7b54\u957f\u5ea6\u56fe\uff0c\u4ece\u4e0b\u9762\u7684\u56fe\u4e2d\u53ef\u4ee5\u53d1\u73b0\u4e00\u4e2a\u5f88\u795e\u5947\u7684\u4e8b\u60c5\uff1a\u968f\u7740\u8bad\u7ec3Steps\u7684\u589e\u52a0\uff0cDeepSeek-R1-Zero\u6162\u6162\u503e\u5411\u4e8e\u4ea7\u51fa\u66f4\u957f\u7684\u56de\u7b54\uff0c\u800c\u4e14\u8fd8\u51fa\u73b0\u4e86\u53cd\u601d\u884c\u4e3a\u3002\u3010\u8fd9\u4e9b\u90fd\u662f\u5728\u6ca1\u6709\u5916\u90e8\u5e72\u9884\u7684\u60c5\u51b5\u4e0b\uff0cDeepSeek-R1-Zero\u6a21\u578b\u5728\u8bad\u7ec3\u8fc7\u7a0b\u4e2d\u81ea\u6211\u8fdb\u5316\u7684\u7ed3\u679c\u3011\u76f4\u89c9\u4e0a\u6765\u8bb2\u5c31\u662f\u56de\u7b54\u7684\u957f\u5ea6\u968f\u7740\u65f6\u95f4\u7684\u589e\u52a0\u800c\u53d8\u957f\uff0c\u4e5f\u5c31\u662f\u6a21\u578b\u601d\u8003\u7684\u66f4\u591a\u4e86\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/tobykskgd.life\/wp-content\/uploads\/2025\/02\/67A9DB35-8CBB-4CAA-AAAF-44B5F6C5CCCF-1024x550.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"550\" data-original=\"https:\/\/tobykskgd.life\/wp-content\/uploads\/2025\/02\/67A9DB35-8CBB-4CAA-AAAF-44B5F6C5CCCF-1024x550.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\" class=\"wp-image-2478\"  sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/div><\/figure>\n\n\n\n<p>\u6b64\u5916DeepSeek-R1-Zero\u7684\u8bad\u7ec3\u4f7f\u7528\u591a\u6570\u6295\u7968\u7b56\u7565\uff08\u4f8b\u5982\u5bf9\u4e00\u6761prompt\u91c7\u6837\u591a\u6b21\uff0c\u53d6\u51fa\u73b0\u6b21\u6570\u6700\u591a\u7684\u56de\u7b54\u8f93\u51fa\uff09\uff0c\u5982\u6b64\u4fbf\u8fdb\u4e00\u6b65\u589e\u5f3a\u4e86\u6a21\u578b\u7684\u6027\u80fd\u3002<\/p>\n\n\n\n<p>DeepSeek-R1-Zero\u7684\u6210\u529f\u8bad\u7ec3\u8bc1\u660e\u4e86\u65e0\u9700SFT\uff0c\u76f4\u63a5\u4f7f\u7528\u57fa\u7840\u6a21\u578b\u505aRL\uff0c\u5df2\u7ecf\u53ef\u4ee5\u53d6\u5f97\u5f3a\u5927\u7684\u80fd\u529b\u3002<\/p>\n\n\n\n<p>\u4e0b\u9762\u7684\u56fe\u8868\u5c55\u793a\u4e86DeepSeek-R1-Zero\u4f7f\u7528\u66f4\u5c0f\u7684\u6210\u672c\u5f97\u5230\u4e86\u4e0eO1\u5bf9\u6807\u7684\u6027\u80fd\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/tobykskgd.life\/wp-content\/uploads\/2025\/02\/29417676-E271-41D8-B6F4-20D4BEBE30A4-1024x946.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"946\" data-original=\"https:\/\/tobykskgd.life\/wp-content\/uploads\/2025\/02\/29417676-E271-41D8-B6F4-20D4BEBE30A4-1024x946.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\" class=\"wp-image-2480\" style=\"width:485px;height:auto\"  sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/div><\/figure>\n<\/div>\n\n\n<p>\u4e0b\u8868\u662fDeepSeek-R1-Zero\u7684\u95ee\u7b54\u6f14\u793a\uff0c\u6807\u7ea2\u7684\u90e8\u5206\u6211\u4eec\u53ef\u4ee5\u770b\u5230\uff0cDeepSeek-R1-Zero\u975e\u5e38\u91cd\u8981\u7684\u4e00\u70b9\u662f\u5b83\u6709\u601d\u8003\u53cd\u601d\u7684\u8fc7\u7a0b&lt;think>\u3002\u5982\u524d\u9762\u6240\u8bf4\uff0c\u4e0eO1\u5bf9\u6bd4\uff0cDeepSeek-R1-Zero\u7684\u53cd\u601d\u5b8c\u5168\u662f\u6a21\u578b\u81ea\u53d1\u7684\u3010\u65e0\u5916\u63a5\u5e72\u6270\u3011\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/tobykskgd.life\/wp-content\/uploads\/2025\/02\/8E2D0288-C808-47DC-98DE-B71052AE0BCD.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  loading=\"lazy\" decoding=\"async\" width=\"1013\" height=\"585\" data-original=\"https:\/\/tobykskgd.life\/wp-content\/uploads\/2025\/02\/8E2D0288-C808-47DC-98DE-B71052AE0BCD.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\" class=\"wp-image-2482\" style=\"width:626px;height:auto\"  sizes=\"auto, (max-width: 1013px) 100vw, 1013px\" \/><\/div><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\">DeepSeek-R1\u8bad\u7ec3\u6d41\u7a0b<\/h2>\n\n\n\n<p>\u6536\u5230DeepSeek-R1-Zero\u7684\u542f\u53d1\uff0cDeepSeek\u56e2\u961f\u63d0\u51fa\u4e86DeepSeek-R1\uff0c\u4e00\u5957\u5b8c\u5168\u65b0\u7684\u8bad\u7ec3\u6d41\u7a0b\uff0c\u5b8c\u5168\u98a0\u8986\u4e86OpenAI\u539f\u6765\u63d0\u51fa\u7684\u4e00\u5957\u8bad\u7ec3\u6d41\u7a0b\u3002<\/p>\n\n\n\n<p>\u4ee5\u4e0b\u4e3aDeepSeek-R1\u7684\u8bad\u7ec3\u6d41\u7a0b\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>DeepSeek-R1\u7684\u8bad\u7ec3\u57fa\u4e8eDeepSeek V3\u7684\u57fa\u7840\u4e4b\u4e0a\u3002<\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u9636\u6bb5\u4e00\n<ul class=\"wp-block-list\">\n<li>\u51b7\u542f\u52a8\uff1a\u4f7f\u7528\u5c11\u91cf\u7684\u6570\u636e\uff08\u683c\u5f0f\u5982\u524d\u6587\u6240\u8bf4&lt;\u95ee\u9898, \u63a8\u7406\u8f68\u8ff9CoT, \u7b54\u6848>\uff09\u76d1\u7763\u5fae\u8c03\uff08SFT\uff09DeepSeek V3\uff0c\u5f62\u6210\u5343\u91cf\u7ea7\u7684\u957f\u601d\u7ef4\u94fe\uff0c\u4f7f\u5176\u5177\u5907\u521d\u6b65\u7684\u6df1\u5ea6\u601d\u8003\u80fd\u529b\u548c\u89c4\u8303\u8f93\u51fa\u683c\u5f0f\u3002<\/li>\n\n\n\n<li>\u5bf9reason\u80fd\u529b\u8fdb\u884c\u5f3a\u5316\u5b66\u4e60post-training\uff08GRPO\uff09\u3002<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>\u9636\u6bb5\u4e8c\n<ul class=\"wp-block-list\">\n<li>\u4f7f\u7528\u9636\u6bb5\u4e00\u5f97\u5230\u7684\u5177\u5907\u4e00\u5b9a\u80fd\u529b\u7684\u6a21\u578b\u751f\u6210\u89c4\u8303\u683c\u5f0f\u7684\u6570\u636e\uff08&lt;\u95ee\u9898, \u63a8\u7406\u8f68\u8ff9CoT, \u7b54\u6848>\uff09+non-reason data\uff08\u975e\u63a8\u7406\u6570\u636e\u3010\u65e0\u6807\u51c6\u7b54\u6848\u3011\uff09\u3010\u91c7\u7528\u62d2\u7edd\u91c7\u6837\u7684\u65b9\u5f0f\u6765\u7b5b\u9009\u6570\u636e\u3011\uff0c\u518d\u6b21\u8fdb\u884cSFT\uff0c\u63d0\u5347\u6a21\u578b\u901a\u7528\u80fd\u529b\u3002<\/li>\n\n\n\n<li>\u518d\u6b21\u5f3a\u5316\u8bad\u7ec3\uff08GRPO\uff09\uff0c\u589e\u5f3a\u6a21\u578b\u7684\u63a8\u7406\u80fd\u529b\u3002<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<p>\u6d41\u7a0b\u4e2d\u5177\u4f53\u6570\u636e\u7684\u683c\u5f0f\u53ef\u4ee5\u770bDeepSeek-R1\u7684\u539f\u6587\u3002<\/p>\n\n\n\n<p>\u901a\u8fc7\u4e0a\u9762\u7684\u8bad\u7ec3\u6d41\u7a0b\u6765\u770b\uff0cDeepSeek-R1\u7684\u8bad\u7ec3\u4e2d\u518d\u6b21\u518d\u7528\u4e86SFT\u65b9\u6cd5\uff0c\u4e5f\u5c31\u662f\u8bf4DeepSeek-R1-Zero\u8bc1\u660e\u4e86\u5927\u6a21\u578b\u65e0\u9700SFT\u4e5f\u80fd\u6709\u8f83\u597d\u7684\u6548\u679c\uff0c\u4f46\u662f\u5982\u679c\u4f7f\u7528SFT\u5f53\u7136\u66f4\u597d\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">\u6a21\u578b\u84b8\u998f<\/h2>\n\n\n\n<p>\u6700\u540e\u662fDeepSeek\u56e2\u961f\u63d0\u51fa\u7684\u4e00\u79cd\u65b0\u7684\u84b8\u998f\u65b9\u5f0f\u3002\u8fd9\u91cc\u5148\u6765\u7b80\u5355\u89e3\u91ca\u4e00\u4e0b\u4ec0\u4e48\u662f\u84b8\u998f\uff0c\u76f4\u89c2\u4e0a\u6765\u8bf4\u53ef\u4ee5\u7406\u89e3\u4e3a\u4e00\u79cd\u201d\u7a77\u4eba\u7684\u65b9\u6cd5\u201c\uff0c\u5c31\u662f\u6bd4\u5982\u8bf4\u6211\u4eec\u624b\u4e0a\u7684\u6570\u636e\u91cf\u5f88\u5c11\uff0c\u5982\u4f55\u4f7f\u6211\u4eec\u7684\u6a21\u578b\u8fbe\u5230\u901a\u4e49\u5343\u95ee\u6216\u8005Llama\u8fd9\u6837\u5927\u6a21\u578b\u7684\u6027\u80fd\u5462\uff1f\u5c31\u662f\u4f7f\u7528\u8fd9\u4e9b\u5927\u6a21\u578b\u751f\u6210\u7684\u6570\u636e\u53bb\u8bad\u7ec3\u6211\u4eec\u624b\u4e0a\u7684\u5c0f\u6a21\u578b\uff0c\u8fd9\u6837\u6700\u7ec8\u5f97\u5230\u7684\u6a21\u578b\u6027\u80fd\u7406\u8bba\u4e0a\u6765\u8bf4\u5c31\u53ef\u4ee5\u975e\u5e38\u63a5\u8fd1\u88ab\u84b8\u998f\u7684\u6a21\u578b\u3002<\/p>\n\n\n\n<p>\u9996\u5148\u56e2\u961f\u4f7f\u7528DeepSeek-R1\u751f\u6210\u6570\u636e\u5bf9\u5c0f\u6a21\u578bSFT\uff0c\u7ed3\u679c\u53d1\u73b0\u8fd9\u6837\u53ef\u4ee5\u663e\u8457\u63d0\u9ad8\u5c0f\u6a21\u578b\u7684\u63a8\u7406\u6027\u80fd\u3002\u8fd9\u4e5f\u5c31\u610f\u5473\u7740\u539f\u5148\u5927\u4f17\u6240\u4ee5\u8ba4\u4e3a\u7684\u5c0f\u6a21\u578b\u6027\u80fd\u5dee\uff0c\u5f88\u5927\u7a0b\u5ea6\u4e0a\u4e0d\u662f\u56e0\u4e3a\u8bad\u7ec3\u53c2\u6570\u5c11\uff0c\u5bf9\u5176\u5f71\u54cd\u66f4\u5927\u7684\u5176\u5b9e\u662f\u8bad\u7ec3\u7684\u65b9\u5f0f\u3010\u53ef\u80fd\u6a21\u578b\u5c0f\u6a21\u578b\u662f\u6709\u6f5c\u529b\u7684\uff0c\u4f46\u662f\u4e0d\u597d\u8bad\u7ec3\uff0c\u9700\u8981\u4e00\u4e2a\u201d\u597d\u8001\u5e08\u201c\u5927\u6a21\u578b\u6765\u8fdb\u884c\u84b8\u998f\u3011\uff0c\u5982\u6b64\u4fbf\u662fDeepSeek-R1\u4e00\u4e2a\u975e\u5e38\u91cd\u8981\u7684\u8d21\u732e\uff0c\u5bf9\u5c0fAI\u516c\u53f8\u662f\u6781\u5927\u7684\u798f\u97f3\u3002\u76f4\u89c2\u4e0a\u6765\u8bf4\uff1a\u786c\u8bad\u7ec3\u4e00\u4e2a\u9ad8\u6210\u672c\u7684\u5c0f\u6a21\u578b\u7684\u6548\u679c\u8fdc\u8fdc\u4e0d\u5982\u84b8\u998f\u5df2\u7ecf\u8bad\u7ec3\u597d\u7684\u5927\u6a21\u578b\u7684\u6548\u679c\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/tobykskgd.life\/wp-content\/uploads\/2025\/02\/8608C78E-F781-4AE6-A538-B2FD8289F521-1024x404.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"404\" data-original=\"https:\/\/tobykskgd.life\/wp-content\/uploads\/2025\/02\/8608C78E-F781-4AE6-A538-B2FD8289F521-1024x404.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\" class=\"wp-image-2485\"  sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/div><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\">Reference<\/h2>\n\n\n\n<p>\u672c\u6587\u53c2\u8003\u8d44\u6599\uff1a<\/p>\n\n\n\n<p><a href=\"https:\/\/www.bilibili.com\/video\/BV13jPde5EPk\/?spm_id_from=333.1007.top_right_bar_window_history.content.click&amp;vd_source=fa9de75b9e5251495ee15fc767cb5892\">\u3010AI\u5927\u6a21\u578b\u4e0e\u5f3a\u5316\u5b66\u4e60\u3011\u5927\u6a21\u578bDeepSeek R1\u8bad\u7ec3\u5168\u6d41\u7a0b\u6d41\u7a0b\u8be6\u89e3\uff01GRPO\u7b97\u6cd5\u539f\u7406\u8be6\u89e3;\u5f3a\u5316\u5b66\u4e60\u8d4b\u80fd\u5927\u6a21\u578b\u672c\u8d28\u662f\u4ec0\u4e48!\u5927\u6a21\u578b\u8bfe\u7a0b \u5927\u6a21\u578b\u84b8\u998f \u4eba\u5de5\u667a\u80fd\u8bfe\u7a0b_\u54d4\u54e9\u54d4\u54e9_bilibili<\/a><\/p>\n\n\n\n<p>DeepSeek-R1: Incentivizing Reasoning Capability in LLMs via Reinforcement Learning<\/p>\n\n\n\n<p><a href=\"https:\/\/zhuanlan.zhihu.com\/p\/607581437\">\u4e00\u6587\u8bfb\u61c2ChatGPT\u7684\u524d\u4e16\u4eca\u751f\uff08\u6587\u672b\u9644\u76f8\u5173\u8bba\u6587\u4e0b\u8f7d\uff09 &#8211; \u77e5\u4e4e<\/a><\/p>\n\n\n\n<p><a href=\"https:\/\/zhuanlan.zhihu.com\/p\/809229182\">LLM\u8bad\u7ec3-sft &#8211; \u77e5\u4e4e<\/a><\/p>\n\n\n\n<p>Training language models to follow instructions with human feedback<\/p>\n\n\n\n<p>Proximal Policy Optimization Algorithms<\/p>\n\n\n\n<p><a href=\"https:\/\/zhuanlan.zhihu.com\/p\/20021693569\">GRPO\uff1aGroup Relative Policy Optimization &#8211; \u77e5\u4e4e<\/a><\/p>\n\n\n\n<p><a href=\"https:\/\/zhuanlan.zhihu.com\/p\/19949917958\">PPO: Proximal Policy Optimization Algorithms &#8211; \u77e5\u4e4e<\/a><\/p>\n\n\n\n<p>DeepSeekMath: Pushing the Limits of Mathematical Reasoning in Open Language Models<\/p>\n","protected":false},"excerpt":{"rendered":"<p>DeepSeek-R1\u662f\u5728DeepSeek V3\u7684\u57fa\u7840\u4e0a\u8fdb\u884c\u7684\uff0c\u5728\u5b9e\u9645\u6548\u679c\u4e0a\u6709\u4e86\u6df1\u5ea6\u601d\u8003\u7684\u80fd\u529b\uff0c\u5927\u5927\u63d0\u9ad8\u4e86\u6a21\u578b [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":2443,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[46],"tags":[32,3,25,35,7,34],"class_list":["post-2445","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-xxbj","tag-share","tag-xxbj","tag-xd","tag-wxyd","tag-jjxx","tag-lw"],"_links":{"self":[{"href":"https:\/\/tobykskgd.life\/index.php\/wp-json\/wp\/v2\/posts\/2445","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/tobykskgd.life\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/tobykskgd.life\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/tobykskgd.life\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/tobykskgd.life\/index.php\/wp-json\/wp\/v2\/comments?post=2445"}],"version-history":[{"count":28,"href":"https:\/\/tobykskgd.life\/index.php\/wp-json\/wp\/v2\/posts\/2445\/revisions"}],"predecessor-version":[{"id":2487,"href":"https:\/\/tobykskgd.life\/index.php\/wp-json\/wp\/v2\/posts\/2445\/revisions\/2487"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/tobykskgd.life\/index.php\/wp-json\/wp\/v2\/media\/2443"}],"wp:attachment":[{"href":"https:\/\/tobykskgd.life\/index.php\/wp-json\/wp\/v2\/media?parent=2445"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/tobykskgd.life\/index.php\/wp-json\/wp\/v2\/categories?post=2445"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/tobykskgd.life\/index.php\/wp-json\/wp\/v2\/tags?post=2445"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}