{"id":19034,"date":"2025-01-21T16:31:35","date_gmt":"2025-01-21T08:31:35","guid":{"rendered":"https:\/\/www.aisharenet.com\/?p=19034"},"modified":"2025-02-02T18:15:52","modified_gmt":"2025-02-02T10:15:52","slug":"deepseek-r1nenglixiang","status":"publish","type":"post","link":"https:\/\/www.kdjingpai.com\/en\/deepseek-r1nenglixiang\/","title":{"rendered":"DeepSeek-R1\u80fd\u529b\u8be6\u89e3\uff0c\u9644\u4e2d\u6587\u8bc4\u4f30\u62a5\u544a"},"content":{"rendered":"<h2>\u5feb\u901f\u9605\u8bfb<\/h2>\n<p><strong>\u4f53\u9a8c\uff1a<\/strong><a href=\"https:\/\/www.kdjingpai.com\/en\/deepseek-chatshena\/\">DeepSeek<\/a> \u5b98\u65b9\u7f51\u7ad9\uff1achat.deepseek.com \u4e0e DeepSeek-R1 \u804a\u5929\uff0c\u5e76\u5f00\u542f\u201c\u6df1\u5ea6\u601d\u8003\u201d\u6309\u94ae\u3002\u8bbf\u95ee <a href=\"https:\/\/platform.deepseek.com\/\">\u517c\u5bb9OpenAI \u683c\u5f0f\u7684 API<\/a> \u3002<\/p>\n<p><strong>\u798f\u5229\uff1a<\/strong><a href=\"https:\/\/www.kdjingpai.com\/shiyongmianfei-gpu-suan\/\">\u4f7f\u7528\u514d\u8d39 GPU \u7b97\u529b\u5728\u7ebf\u90e8\u7f72 DeepSeek-R1 \u5f00\u6e90\u6a21\u578b<\/a> \u3001<a href=\"https:\/\/www.kdjingpai.com\/klusteraidichengai\/\">\u8d60\u9001 100$ DeepSeek-R1\u989d\u5ea6<\/a>\u3001<a href=\"https:\/\/www.kdjingpai.com\/5damianfeishiyongmanai\/\">5\u5927\u514d\u8d39\u4f7f\u7528\u6ee1\u8840\u7248 DeepSeek-R1 \u7684AI\u63a8\u7406\u5e73\u53f0<\/a><\/p>\n<p><strong>\u590d\u73b0\uff1a<\/strong>\u8fd1\u671f\u5c1d\u8bd5\u590d\u73b0 <span class=\"ng-star-inserted\">DeepSeek-R1 \u7684\u9879\u76ee\u4e0d\u5c11\uff0c\u53ef\u4ee5\u5173\u6ce8\u4ee5\u4e0b\u6587\u7ae0\uff1a<a href=\"https:\/\/www.kdjingpai.com\/tinyzero\/\">TinyZero\uff1a\u4f4e\u6210\u672c\u590d\u73b0 DeepSeeK-R1 Zero \u7684\u987f\u609f\u6548\u679c<\/a>\u00a0\u3001<a href=\"https:\/\/www.kdjingpai.com\/open-r1\/\">Open R1\uff1aHugging Face \u590d\u73b0 DeepSeek-R1 \u7684\u8bad\u7ec3\u8fc7\u7a0b<\/a>\u00a0\u3001<a href=\"https:\/\/www.kdjingpai.com\/fuxiandeepseek-r1\/\">\u590d\u73b0DeepSeek-R1\uff1a8K\u6570\u5b66\u793a\u4f8b\u52a9\u529b\u5c0f\u578b\u6a21\u578b\u901a\u8fc7\u5f3a\u5316\u5b66\u4e60\u5b9e\u73b0\u63a8\u7406\u7a81\u7834<\/a>\u00a0\uff0c\u751a\u81f3\u8fd8\u6709\uff1a<a href=\"https:\/\/www.kdjingpai.com\/deepseek-r1-overthinker\/\">R1 Overthinker\uff1a\u5f3a\u5236 DeepSeek R1 \u6a21\u578b\u5ef6\u957f\u601d\u8003\u65f6\u95f4<\/a>\u00a0\u3002<\/span><\/p>\n<p><strong>\u603b\u7ed3\uff1a<\/strong>\u4e0a\u4e0b\u6587\u957f\u5ea6\uff1a128K\uff0c2.19 \u7f8e\u5143\/\u6bcf\u767e\u4e07\u8f93\u51fa\u4ee4\u724c\uff08\u5927\u6a21\u578b\u754c\u62fc\u591a\u591a\uff09\uff0c\u6027\u80fd\u4e0e OpenAI-o1 \u76f8\u5f53\uff0c\u5168\u5f00\u6e90\u6a21\u578b\u81ea\u7531\u84b8\u998f\u548c\u5546\u4e1a\u5316\u4f7f\u7528\uff0c\u7f16\u5199\u524d\u7aef\u529f\u80fd\u5f88\u6709\u60f3\u8c61\u529b<\/p>\n<p>&nbsp;<\/p>\n<p class=\"ng-star-inserted\"><strong class=\"ng-star-inserted\"><span class=\"ng-star-inserted\">\u57fa\u7840\u6a21\u578b\uff1a<\/span><\/strong><span class=\"ng-star-inserted\"> DeepSeek-R1-Zero \u4e0e DeepSeek-R1 \u5747\u57fa\u4e8e DeepSeek-V3-Base \u8bad\u7ec3\uff0cDeepSeek-R1 \u7ecf\u8fc7\u5c11\u91cf\u957fCoT\u6570\u636e\u5f3a\u5316\u5b66\u4e60\uff0c\u8f93\u51fa\u5185\u5bb9\u66f4\u7ed3\u6784\u5316\u4e14\u7b80\u7ea6\u3002<\/span><\/p>\n<p class=\"ng-star-inserted\"><strong class=\"ng-star-inserted\"><span class=\"ng-star-inserted\">\u84b8\u998f\u6a21\u578b\uff08\u6574\u4f53\u63d0\u5347\u73b0\u6709\u5f00\u6e90\u5c0f\u6a21\u578b\u80fd\u529b\uff09\uff1a<\/span><\/strong><span class=\"ng-star-inserted\"> \u5c06 DeepSeek-R1 \u84b8\u998f\u5230\u591a\u4e2a\u66f4\u5c0f\u7684\u6a21\u578b\uff0c\u8fd9\u4e9b\u6a21\u578b\u5305\u62ec\uff1a\uff08 <a href=\"https:\/\/www.kdjingpai.com\/en\/ollama\/\">Ollama<\/a> \u4e2d\u53ef\u4e0b\u8f7d\uff09<\/span><\/p>\n<div id=\"attachment_19045\" style=\"width: 689px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-19045\" class=\"wp-image-19045 size-full\" title=\"DeepSeek-R1\u8be6\u89e3-1\" src=\"https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2025\/01\/c81900c42248b7a.jpg\" alt=\"DeepSeek-R1\u8be6\u89e3-1\" width=\"679\" height=\"326\" srcset=\"https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2025\/01\/c81900c42248b7a.jpg 679w, https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2025\/01\/c81900c42248b7a-300x144.jpg 300w, https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2025\/01\/c81900c42248b7a-18x9.jpg 18w\" sizes=\"auto, (max-width: 679px) 100vw, 679px\" \/><p id=\"caption-attachment-19045\" class=\"wp-caption-text\">Qwen2.5-Math-1.5B\u3001Qwen2.5-Math-7B\u3001Qwen2.5-14B\u3001Qwen2.5-32B\u3001Llama-3.1-8B\u3001Llama-3.3-70B-Instruct<\/p><\/div>\n<p>&nbsp;<\/p>\n<p><strong>DeepSeek-R1(-Zero)\u7684\u8bad\u7ec3\u6d41\u7a0b<\/strong><\/p>\n<ul>\n<li>\u51b7\u542f\u52a8\uff1a\u5728 CoT \u793a\u4f8b\u4e0a\u8fdb\u884c\u5fae\u8c03<\/li>\n<li>\u63a8\u7406\u5f3a\u5316\u5b66\u4e60\uff1a\u6dfb\u52a0\u4e86\u8bed\u8a00\u4e00\u81f4\u6027\u5956\u52b1<\/li>\n<li>\u6570\u636e\u751f\u6210\uff1a\u521b\u5efa\u4e86 <span class=\"hljs-number\">80<\/span> \u4e07\u4e2a\u8bad\u7ec3\u6837\u672c<\/li>\n<li>\u6700\u7ec8\u5f3a\u5316\u5b66\u4e60\uff1a\u901a\u8fc7\u6df7\u5408\u53cd\u9988\u5e73\u8861\u4e86\u80fd\u529b\uff08\u5305\u62ec\u63a8\u7406\u80fd\u529b\u548c\u901a\u7528\u80fd\u529b\uff09<\/li>\n<\/ul>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-19074\" title=\"DeepSeek-R1\u80fd\u529b\u8be6\u89e3\uff0c\u9644\u4e2d\u6587\u8bc4\u4f30\u62a5\u544a-1\" src=\"https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2025\/01\/b3aacd8f79394bf.jpg\" alt=\"DeepSeek-R1\u80fd\u529b\u8be6\u89e3\uff0c\u9644\u4e2d\u6587\u8bc4\u4f30\u62a5\u544a-1\" width=\"1024\" height=\"1187\" srcset=\"https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2025\/01\/b3aacd8f79394bf.jpg 1764w, https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2025\/01\/b3aacd8f79394bf-259x300.jpg 259w, https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2025\/01\/b3aacd8f79394bf-884x1024.jpg 884w, https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2025\/01\/b3aacd8f79394bf-768x890.jpg 768w, https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2025\/01\/b3aacd8f79394bf-1326x1536.jpg 1326w, https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2025\/01\/b3aacd8f79394bf-10x12.jpg 10w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/p>\n<p>&nbsp;<\/p>\n<p><strong>\u95ee\u9898\uff0cAPI\u7684\u4e0a\u4e0b\u6587\u957f\u5ea6\u5728\u7f16\u7a0b\u4e2d\u53ef\u80fd\u4e0d\u591f<\/strong><\/p>\n<p class=\"ng-star-inserted\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-19046\" title=\"DeepSeek-R1\u8be6\u89e3-1\" src=\"https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2025\/01\/696bdcec4240a75.jpg\" alt=\"DeepSeek-R1\u8be6\u89e3-1\" width=\"1161\" height=\"488\" srcset=\"https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2025\/01\/696bdcec4240a75.jpg 2128w, https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2025\/01\/696bdcec4240a75-300x126.jpg 300w, https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2025\/01\/696bdcec4240a75-1024x430.jpg 1024w, https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2025\/01\/696bdcec4240a75-768x323.jpg 768w, https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2025\/01\/696bdcec4240a75-1536x645.jpg 1536w, https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2025\/01\/696bdcec4240a75-2048x860.jpg 2048w, https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2025\/01\/696bdcec4240a75-18x8.jpg 18w\" sizes=\"auto, (max-width: 1161px) 100vw, 1161px\" \/><\/p>\n<p>&nbsp;<\/p>\n<p><strong>\u57fa\u51c6\u8bc4\u4ef7<\/strong><\/p>\n<ul class=\"ng-star-inserted\">\n<li class=\"ng-star-inserted\">\n<p class=\"ng-star-inserted\"><strong class=\"ng-star-inserted\"><span class=\"ng-star-inserted\">\u5f3a\u5927\u7684\u63a8\u7406\u80fd\u529b\uff1a<\/span><\/strong><\/p>\n<ul class=\"ng-star-inserted\">\n<li class=\"ng-star-inserted\">\n<p class=\"ng-star-inserted\"><span class=\"ng-star-inserted\">\u5728\u6570\u5b66\u95ee\u9898\u4e0a\u8868\u73b0\u51fa\u8272\uff0c\u8fbe\u5230\u4e86\u4e0e OpenAI-01-1217 \u76f8\u5f53\u7684\u6027\u80fd\u3002\u5728 MATH-500 \u57fa\u51c6\u6d4b\u8bd5\u4e0a\u83b7\u5f97\u4e86\u60ca\u4eba\u7684\u9ad8\u5206\uff0897.3%\uff09\u3002<\/span><\/p>\n<\/li>\n<li class=\"ng-star-inserted\">\n<p class=\"ng-star-inserted\"><span class=\"ng-star-inserted\">\u5728\u7f16\u7801\u7b97\u6cd5\u4efb\u52a1\uff08\u5982 Codeforces \u548c LiveCodeBench\uff09\u4e2d\u8868\u73b0\u51fa\u5f88\u5f3a\u7684\u7ade\u4e89\u529b\u3002<\/span><\/p>\n<\/li>\n<li class=\"ng-star-inserted\">\n<p class=\"ng-star-inserted\"><span class=\"ng-star-inserted\">\u5728\u9700\u8981\u590d\u6742\u63a8\u7406\u7684\u4efb\u52a1\uff08\u5982 FRAMES\uff09\u4e0a\u5c55\u73b0\u51fa\u5f3a\u5927\u7684\u80fd\u529b\u3002<\/span><\/p>\n<\/li>\n<\/ul>\n<\/li>\n<li class=\"ng-star-inserted\">\n<p class=\"ng-star-inserted\"><strong class=\"ng-star-inserted\"><span class=\"ng-star-inserted\">\u901a\u7528\u80fd\u529b\u5f3a\uff1a<\/span><\/strong><\/p>\n<ul class=\"ng-star-inserted\">\n<li class=\"ng-star-inserted\">\n<p class=\"ng-star-inserted\"><span class=\"ng-star-inserted\">\u5728 MMLU, MMLU-Pro \u548c GPQA Diamond \u7b49\u77e5\u8bc6\u6027\u57fa\u51c6\u6d4b\u8bd5\u4e2d\u8868\u73b0\u4f18\u5f02\u3002<\/span><\/p>\n<\/li>\n<li class=\"ng-star-inserted\">\n<p class=\"ng-star-inserted\"><span class=\"ng-star-inserted\">\u5728\u5199\u4f5c\u3001\u5f00\u653e\u9886\u57df\u95ee\u9898\u56de\u7b54\u4ee5\u53ca\u5176\u4ed6\u5404\u79cd\u4efb\u52a1\u4e2d\u4e5f\u8868\u73b0\u51fa\u8272\u3002<\/span><\/p>\n<\/li>\n<li class=\"ng-star-inserted\">\n<p class=\"ng-star-inserted\"><span class=\"ng-star-inserted\">\u5728 AlpacaEval 2.0 \u548c ArenaHard \u7b49\u57fa\u51c6\u4e0a\u53d6\u5f97\u4e86\u4f18\u5f02\u7684\u957f\u5ea6\u63a7\u5236\u83b7\u80dc\u7387\uff0c\u8868\u660e\u5b83\u80fd\u667a\u80fd\u5904\u7406\u975e\u8003\u8bd5\u5bfc\u5411\u7684\u67e5\u8be2\u3002<\/span><\/p>\n<\/li>\n<li class=\"ng-star-inserted\">\n<p class=\"ng-star-inserted\"><span class=\"ng-star-inserted\">\u80fd\u591f\u751f\u6210\u7b80\u6d01\u7684\u6458\u8981\uff0c\u907f\u514d\u957f\u5ea6\u504f\u5dee\u3002<\/span><\/p>\n<\/li>\n<\/ul>\n<\/li>\n<li class=\"ng-star-inserted\">\n<p class=\"ng-star-inserted\"><strong class=\"ng-star-inserted\"><span class=\"ng-star-inserted\">\u53ef\u8bfb\u6027\u826f\u597d\uff1a<\/span><\/strong>\u901a\u8fc7\u51b7\u542f\u52a8\u6570\u636e\u548c\u8bad\u7ec3\u6d41\u7a0b\u4e2d\u7684\u7279\u5b9a\u8bbe\u8ba1\uff0cDeepSeek-R1 \u8f93\u51fa\u7684\u5185\u5bb9\u66f4\u6613\u4e8e\u9605\u8bfb\uff0c\u4f7f\u7528\u4e86\u6070\u5f53\u7684\u683c\u5f0f\u548c\u7ed3\u6784\u3002<\/p>\n<\/li>\n<\/ul>\n<ul class=\"ng-star-inserted\">\n<li class=\"ng-star-inserted\">\n<p class=\"ng-star-inserted\"><strong class=\"ng-star-inserted\"><span class=\"ng-star-inserted\">\u591a\u8bed\u8a00\u80fd\u529b\uff1a<\/span><\/strong>\u867d\u7136\u76ee\u524d\u4e3b\u8981\u4f18\u5316\u4e86\u4e2d\u6587\u548c\u82f1\u6587\uff0c\u4f46\u5728\u5904\u7406\u591a\u79cd\u8bed\u8a00\u7684\u67e5\u8be2\u65f6\uff0c\u4e5f\u80fd\u8868\u73b0\u51fa\u4e00\u5b9a\u7684\u80fd\u529b\u3002<\/p>\n<\/li>\n<\/ul>\n<ul class=\"ng-star-inserted\">\n<li class=\"ng-star-inserted\">\n<p class=\"ng-star-inserted\"><strong class=\"ng-star-inserted\"><span class=\"ng-star-inserted\">\u5bf9\u6307\u4ee4\u7684\u9075\u5faa\u80fd\u529b\uff1a<\/span><\/strong>\u5728 IF-Eval \u57fa\u51c6\u6d4b\u8bd5\u4e0a\u8868\u73b0\u51fa\u8272\uff0c\u5c55\u793a\u4e86\u5b83\u80fd\u591f\u5f88\u597d\u5730\u7406\u89e3\u548c\u9075\u5faa\u6307\u4ee4\u7684\u80fd\u529b\u3002<\/p>\n<\/li>\n<\/ul>\n<ul class=\"ng-star-inserted\">\n<li class=\"ng-star-inserted\">\n<p class=\"ng-star-inserted\"><strong class=\"ng-star-inserted\"><span class=\"ng-star-inserted\">\u81ea\u6211\u8fdb\u5316\u80fd\u529b\uff1a<\/span><\/strong>\u901a\u8fc7\u5f3a\u5316\u5b66\u4e60\uff0c\u6a21\u578b\u53ef\u4ee5\u81ea\u4e3b\u5730\u5b66\u4e60\u548c\u6539\u8fdb\u81ea\u8eab\u7684\u63a8\u7406\u80fd\u529b\uff0c\u80fd\u591f\u901a\u8fc7\u589e\u52a0\u601d\u8003\u65f6\u95f4\u6765\u5904\u7406\u590d\u6742\u95ee\u9898\u3002<\/p>\n<\/li>\n<\/ul>\n<ul class=\"ng-star-inserted\">\n<li class=\"ng-star-inserted\">\n<p class=\"ng-star-inserted\"><strong class=\"ng-star-inserted\"><span class=\"ng-star-inserted\">\u4f18\u79c0\u7684\u84b8\u998f\u6f5c\u529b\uff1a<\/span><\/strong>DeepSeek-R1 \u53ef\u4ee5\u4f5c\u4e3a\u6559\u5e08\u6a21\u578b\uff0c\u5c06\u63a8\u7406\u80fd\u529b\u84b8\u998f\u5230\u66f4\u5c0f\u7684\u6a21\u578b\uff0c\u4e14\u84b8\u998f\u540e\u7684\u6a21\u578b\u5177\u6709\u51fa\u8272\u7684\u6027\u80fd\uff0c\u4f8b\u5982 DeepSeek-R1-Distill-Qwen-32B\uff0c\u5728\u591a\u4e2a\u57fa\u51c6\u4e0a\u90fd\u660e\u663e\u4f18\u4e8e\u5176\u4ed6\u6a21\u578b\u3002<\/p>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<p><strong>\u5173\u4e8e\u672c\u5730\u7f16\u7a0b\u80fd\u529b<\/strong><\/p>\n<p>\u5982\u679c\u4f60\u89c9\u5f97v3\u5728\u7f16\u7a0b\u65b9\u9762\u5df2\u7ecf\u4e0d\u9519\uff0c\u90a3\u4e48\u684c\u9762\u66ff\u4ee3\u84b8\u998f\u6a21\u578b\u662f\u54ea\u4e2a\u5462\uff1f\u76f8\u6bd4\u8f83DeepSeek V3\uff0c\u54ea\u4e2a\u84b8\u998f\u6a21\u578b\u80fd\u591f\u5ab2\u7f8e\uff1f\u6309\u7167LiveCodeBench\u8bc4\u5206\uff0cDeepSeek V3\u5f97\u520642.2\uff0c\u84b8\u998f\u6a21\u578bQwen 14B\u5f97\u520653.1\uff0c\u5177\u6709\u76f8\u5f53\u7684\u6027\u80fd\uff0c\u800c\u4e14\u5c3a\u5bf8\u76f8\u5bf9\u6765\u8bf4\u5c5e\u4e8e\u684c\u9762\u7ea7\u80fd\u8dd1\uff0c\u63a8\u8350\u5927\u5bb6\u5728\u684c\u9762\u4e0a\u4f7f\u752814B\u3002<\/p>\n<hr \/>\n<p><strong>\u300aDeepSeek-R1\uff1a\u901a\u8fc7\u5f3a\u5316\u5b66\u4e60\u6fc0\u52b1LLM\u7684\u63a8\u7406\u80fd\u529b\u300b<\/strong><\/p>\n<p>\u53d1\u5e03\u8005\uff1aDeepSeek-AI<\/p>\n<p>\u539f\u6587\uff1ahttps:\/\/github.com\/deepseek-ai\/DeepSeek-R1\/blob\/main\/DeepSeek_R1.pdf<\/p>\n<h3>\u6458\u8981<\/h3>\n<p>\u6211\u4eec\u4ecb\u7ecd\u4e86\u6211\u4eec\u7684\u7b2c\u4e00\u4ee3\u63a8\u7406\u6a21\u578b\uff0cDeepSeek-R1-Zero\u548cDeepSeek-R1\u3002 DeepSeek-R1-Zero\uff0c\u4e00\u4e2a\u901a\u8fc7\u5927\u89c4\u6a21\u5f3a\u5316\u5b66\u4e60\uff08RL\uff09\u8bad\u7ec3\u7684\u6a21\u578b\uff0c\u6ca1\u6709\u7ecf\u8fc7\u521d\u6b65\u7684\u76d1\u7763\u5fae\u8c03\uff08SFT\uff09\u6b65\u9aa4\uff0c\u5c55\u793a\u4e86\u5353\u8d8a\u7684\u63a8\u7406\u80fd\u529b\u3002\u901a\u8fc7RL\uff0cDeepSeek-R1-Zero\u81ea\u7136\u5730\u6d8c\u73b0\u51fa\u8bb8\u591a\u5f3a\u5927\u800c\u6709\u8da3\u7684\u63a8\u7406\u884c\u4e3a\u3002\u7136\u800c\uff0c\u5b83\u4e5f\u9047\u5230\u4e86\u4e00\u4e9b\u6311\u6218\uff0c\u4f8b\u5982\u53ef\u8bfb\u6027\u5dee\u548c\u8bed\u8a00\u6df7\u5408\u3002\u4e3a\u4e86\u89e3\u51b3\u8fd9\u4e9b\u95ee\u9898\u5e76\u8fdb\u4e00\u6b65\u63d0\u9ad8\u63a8\u7406\u6027\u80fd\uff0c\u6211\u4eec\u5f15\u5165\u4e86DeepSeek-R1\uff0c\u5b83\u5728RL\u4e4b\u524d\u7ed3\u5408\u4e86\u591a\u9636\u6bb5\u8bad\u7ec3\u548c\u51b7\u542f\u52a8\u6570\u636e\u3002 DeepSeek-R1\u5728\u63a8\u7406\u4efb\u52a1\u4e0a\u8fbe\u5230\u4e86\u4e0eOpenAI-01-1217\u76f8\u5f53\u7684\u6027\u80fd\u3002\u4e3a\u4e86\u652f\u6301\u7814\u7a76\u793e\u533a\uff0c\u6211\u4eec\u5f00\u6e90\u4e86DeepSeek-R1-Zero\uff0cDeepSeek-R1\u4ee5\u53ca\u516d\u4e2a\u57fa\u4e8eQwen\u548cLlama\u63d0\u70bc\u7684\u5bc6\u96c6\u6a21\u578b\uff081.5B\uff0c7B\uff0c8B\uff0c14B\uff0c32B\uff0c70B\uff09\u3002<\/p>\n<div id=\"attachment_19035\" style=\"width: 960px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-19035\" class=\"wp-image-19035 size-full\" title=\"DeepSeek-R1\uff1a\u901a\u8fc7\u5f3a\u5316\u5b66\u4e60\u6fc0\u52b1LLM\u7684\u63a8\u7406\u80fd\u529b-1\" src=\"https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2025\/01\/a09ba8900d20461.png\" alt=\"DeepSeek-R1\uff1a\u901a\u8fc7\u5f3a\u5316\u5b66\u4e60\u6fc0\u52b1LLM\u7684\u63a8\u7406\u80fd\u529b-1\" width=\"950\" height=\"573\" srcset=\"https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2025\/01\/a09ba8900d20461.png 950w, https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2025\/01\/a09ba8900d20461-300x181.png 300w, https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2025\/01\/a09ba8900d20461-768x463.png 768w, https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2025\/01\/a09ba8900d20461-18x12.png 18w\" sizes=\"auto, (max-width: 950px) 100vw, 950px\" \/><p id=\"caption-attachment-19035\" class=\"wp-caption-text\">\u56fe1 | DeepSeek-R1\u7684\u57fa\u51c6\u6027\u80fd\u3002<\/p><\/div>\n<h2>\u76ee\u5f55<\/h2>\n<h3>1 \u4ecb\u7ecd<\/h3>\n<p>1.1 \u8d21\u732e<br \/>\n1.2 \u8bc4\u4f30\u7ed3\u679c\u603b\u7ed3<\/p>\n<h3>2 \u65b9\u6cd5<\/h3>\n<p>2.1 \u6982\u8ff0<br \/>\n2.2 DeepSeek-R1-Zero\uff1a\u57fa\u4e8e\u57fa\u7840\u6a21\u578b\u7684\u5f3a\u5316\u5b66\u4e60<br \/>\n2.2.1 \u5f3a\u5316\u5b66\u4e60\u7b97\u6cd5<br \/>\n2.2.2 \u5956\u52b1\u5efa\u6a21<br \/>\n2.2.3 \u8bad\u7ec3\u6a21\u677f<br \/>\n2.2.4 DeepSeek-R1-Zero\u7684\u6027\u80fd\uff0c\u81ea\u6211\u6f14\u5316\u8fc7\u7a0b\u548c\u987f\u609f\u65f6\u523b<br \/>\n2.3 DeepSeek-R1\uff1a\u5e26\u6709\u51b7\u542f\u52a8\u7684\u5f3a\u5316\u5b66\u4e60<br \/>\n2.3.1 \u51b7\u542f\u52a8<br \/>\n2.3.2 \u9762\u5411\u63a8\u7406\u7684\u5f3a\u5316\u5b66\u4e60<br \/>\n2.3.3 \u62d2\u7edd\u91c7\u6837\u548c\u76d1\u7763\u5fae\u8c03<br \/>\n2.3.4 \u6240\u6709\u573a\u666f\u7684\u5f3a\u5316\u5b66\u4e60<br \/>\n2.4 \u84b8\u998f\uff1a\u7528\u63a8\u7406\u80fd\u529b\u589e\u5f3a\u5c0f\u578b\u6a21\u578b<\/p>\n<h3>3 \u5b9e\u9a8c<\/h3>\n<p>3.1 DeepSeek-R1\u8bc4\u4f30<br \/>\n3.2 \u84b8\u998f\u6a21\u578b\u8bc4\u4f30<\/p>\n<h3>4 \u8ba8\u8bba<\/h3>\n<p>4.1 \u84b8\u998f vs. \u5f3a\u5316\u5b66\u4e60<br \/>\n4.2 \u5931\u8d25\u7684\u5c1d\u8bd5<\/p>\n<h3>5 \u7ed3\u8bba\u3001\u5c40\u9650\u6027\u548c\u672a\u6765\u5de5\u4f5c<\/h3>\n<p>&nbsp;<\/p>\n<h2>1. \u4ecb\u7ecd<\/h2>\n<p>\u8fd1\u5e74\u6765\uff0c\u5927\u578b\u8bed\u8a00\u6a21\u578b\uff08LLM\uff09\u7ecf\u5386\u4e86\u5feb\u901f\u7684\u8fed\u4ee3\u548c\u53d1\u5c55\uff08Anthropic, 2024; Google, 2024; OpenAI, 2024a\uff09\uff0c\u9010\u6e10\u7f29\u5c0f\u4e86\u901a\u5411\u4eba\u5de5\u901a\u7528\u667a\u80fd\uff08AGI\uff09\u7684\u5dee\u8ddd\u3002<\/p>\n<p>\u6700\u8fd1\uff0c\u540e\u8bad\u7ec3\u5df2\u6210\u4e3a\u5b8c\u6574\u8bad\u7ec3\u6d41\u7a0b\u7684\u4e00\u4e2a\u91cd\u8981\u7ec4\u6210\u90e8\u5206\u3002\u5b83\u88ab\u8bc1\u660e\u53ef\u4ee5\u63d0\u9ad8\u63a8\u7406\u4efb\u52a1\u7684\u51c6\u786e\u6027\uff0c\u4e0e\u793e\u4f1a\u4ef7\u503c\u89c2\u4fdd\u6301\u4e00\u81f4\uff0c\u5e76\u9002\u5e94\u7528\u6237\u504f\u597d\uff0c\u540c\u65f6\u76f8\u5bf9\u4e8e\u9884\u8bad\u7ec3\u800c\u8a00\uff0c\u6240\u9700\u7684\u8ba1\u7b97\u8d44\u6e90\u76f8\u5bf9\u8f83\u5c11\u3002\u5728\u63a8\u7406\u80fd\u529b\u65b9\u9762\uff0cOpenAI\u7684o1\uff08OpenAI\uff0c2024b\uff09\u7cfb\u5217\u6a21\u578b\u9996\u6b21\u5f15\u5165\u4e86\u901a\u8fc7\u589e\u52a0\u601d\u7ef4\u94fe\u63a8\u7406\u8fc7\u7a0b\u7684\u957f\u5ea6\u6765\u5b9e\u73b0\u63a8\u7406\u65f6\u7684\u7f29\u653e\u3002\u8fd9\u79cd\u65b9\u6cd5\u5728\u5404\u79cd\u63a8\u7406\u4efb\u52a1\u4e2d\u53d6\u5f97\u4e86\u663e\u8457\u7684\u8fdb\u6b65\uff0c\u4f8b\u5982\u6570\u5b66\u3001\u7f16\u7801\u548c\u79d1\u5b66\u63a8\u7406\u3002\u7136\u800c\uff0c\u5bf9\u4e8e\u7814\u7a76\u754c\u6765\u8bf4\uff0c\u6709\u6548\u7684\u6d4b\u8bd5\u65f6\u7f29\u653e\u7684\u6311\u6218\u4ecd\u7136\u662f\u4e00\u4e2a\u60ac\u800c\u672a\u51b3\u7684\u95ee\u9898\u3002\u4e00\u4e9b\u5148\u524d\u7684\u5de5\u4f5c\u63a2\u7d22\u4e86\u5404\u79cd\u65b9\u6cd5\uff0c\u5305\u62ec\u57fa\u4e8e\u8fc7\u7a0b\u7684\u5956\u52b1\u6a21\u578b\uff08Lightman et al., 2023; Uesato et al., 2022; Wang et al., 2023\uff09\uff0c\u5f3a\u5316\u5b66\u4e60\uff08Kumar et al., 2024\uff09\u4ee5\u53ca\u8499\u7279\u5361\u6d1b\u6811\u641c\u7d22\u548c\u675f\u641c\u7d22\u7b49\u641c\u7d22\u7b97\u6cd5\uff08Feng et al., 2024; Trinh et al., 2024; Xin et al., 2024\uff09\u3002\u7136\u800c\uff0c\u8fd9\u4e9b\u65b9\u6cd5\u90fd\u672a\u80fd\u5b9e\u73b0\u4e0eOpenAI\u7684o1\u7cfb\u5217\u6a21\u578b\u76f8\u5f53\u7684\u901a\u7528\u63a8\u7406\u6027\u80fd\u3002<\/p>\n<p>\u5728\u672c\u6587\u4e2d\uff0c\u6211\u4eec\u8fc8\u51fa\u4e86\u5229\u7528\u7eaf\u5f3a\u5316\u5b66\u4e60\uff08RL\uff09\u6539\u8fdb\u8bed\u8a00\u6a21\u578b\u63a8\u7406\u80fd\u529b\u7684\u7b2c\u4e00\u6b65\u3002\u6211\u4eec\u7684\u76ee\u6807\u662f\u63a2\u7d22LLM\u5728\u6ca1\u6709\u4efb\u4f55\u76d1\u7763\u6570\u636e\u7684\u60c5\u51b5\u4e0b\u53d1\u5c55\u63a8\u7406\u80fd\u529b\u7684\u6f5c\u529b\uff0c\u91cd\u70b9\u662f\u901a\u8fc7\u7eaf\u7cb9\u7684RL\u8fc7\u7a0b\u8fdb\u884c\u81ea\u6211\u6f14\u5316\u3002\u5177\u4f53\u6765\u8bf4\uff0c\u6211\u4eec\u4f7f\u7528DeepSeek-V3-Base\u4f5c\u4e3a\u57fa\u7840\u6a21\u578b\uff0c\u5e76\u91c7\u7528GRPO\uff08Shao et al., 2024\uff09\u4f5c\u4e3aRL\u6846\u67b6\u6765\u63d0\u9ad8\u6a21\u578b\u5728\u63a8\u7406\u65b9\u9762\u7684\u6027\u80fd\u3002\u5728\u8bad\u7ec3\u8fc7\u7a0b\u4e2d\uff0cDeepSeek-R1-Zero\u81ea\u7136\u5730\u6d8c\u73b0\u51fa\u8bb8\u591a\u5f3a\u5927\u800c\u6709\u8da3\u7684\u63a8\u7406\u884c\u4e3a\u3002\u7ecf\u8fc7\u6570\u5343\u4e2aRL\u6b65\u9aa4\u540e\uff0cDeepSeek-R1-Zero\u5728\u63a8\u7406\u57fa\u51c6\u4e0a\u8868\u73b0\u51fa\u4f18\u5f02\u7684\u6027\u80fd\u3002\u4f8b\u5982\uff0cAIME 2024\u7684pass@1\u5f97\u5206\u4ece15.6%\u63d0\u9ad8\u523071.0%\uff0c\u5e76\u4e14\u901a\u8fc7\u591a\u6570\u6295\u7968\uff0c\u5f97\u5206\u8fdb\u4e00\u6b65\u63d0\u9ad8\u523086.7%\uff0c\u8fbe\u5230\u4e86OpenAI-01-0912\u7684\u6027\u80fd\u6c34\u5e73\u3002<\/p>\n<p>\u7136\u800c\uff0cDeepSeek-R1-Zero\u9047\u5230\u4e86\u53ef\u8bfb\u6027\u5dee\u548c\u8bed\u8a00\u6df7\u5408\u7b49\u6311\u6218\u3002\u4e3a\u4e86\u89e3\u51b3\u8fd9\u4e9b\u95ee\u9898\u5e76\u8fdb\u4e00\u6b65\u63d0\u9ad8\u63a8\u7406\u6027\u80fd\uff0c\u6211\u4eec\u5f15\u5165\u4e86DeepSeek-R1\uff0c\u5b83\u7ed3\u5408\u4e86\u5c11\u91cf\u7684\u51b7\u542f\u52a8\u6570\u636e\u548c\u4e00\u4e2a\u591a\u9636\u6bb5\u8bad\u7ec3\u6d41\u7a0b\u3002\u5177\u4f53\u6765\u8bf4\uff0c\u6211\u4eec\u9996\u5148\u6536\u96c6\u6570\u5343\u4e2a\u51b7\u542f\u52a8\u6570\u636e\uff0c\u4ee5\u5fae\u8c03DeepSeek-V3-Base\u6a21\u578b\u3002\u5728\u6b64\u4e4b\u540e\uff0c\u6211\u4eec\u6267\u884c\u7c7b\u4f3c\u4e8eDeepSeek-R1-Zero\u7684\u9762\u5411\u63a8\u7406\u7684RL\u3002\u5728RL\u8fc7\u7a0b\u4e2d\u63a5\u8fd1\u6536\u655b\u65f6\uff0c\u6211\u4eec\u901a\u8fc7\u5bf9RL\u68c0\u67e5\u70b9\u8fdb\u884c\u62d2\u7edd\u91c7\u6837\u6765\u521b\u5efa\u65b0\u7684SFT\u6570\u636e\uff0c\u5e76\u7ed3\u5408\u6765\u81eaDeepSeek-V3\u5728\u5199\u4f5c\u3001\u4e8b\u5b9e\u95ee\u7b54\u548c\u81ea\u6211\u8ba4\u77e5\u7b49\u9886\u57df\u7684\u76d1\u7763\u6570\u636e\uff0c\u7136\u540e\u91cd\u65b0\u8bad\u7ec3DeepSeek-V3-Base\u6a21\u578b\u3002\u5728\u4f7f\u7528\u65b0\u6570\u636e\u8fdb\u884c\u5fae\u8c03\u540e\uff0c\u8be5\u68c0\u67e5\u70b9\u4f1a\u8fdb\u884c\u989d\u5916\u7684RL\u8fc7\u7a0b\uff0c\u5176\u4e2d\u8003\u8651\u4e86\u6240\u6709\u573a\u666f\u7684\u63d0\u793a\u3002\u7ecf\u8fc7\u8fd9\u4e9b\u6b65\u9aa4\u540e\uff0c\u6211\u4eec\u83b7\u5f97\u4e86\u4e00\u4e2a\u79f0\u4e3aDeepSeek-R1\u7684\u68c0\u67e5\u70b9\uff0c\u5b83\u5728\u6027\u80fd\u4e0a\u4e0eOpenAI-01-1217\u76f8\u5f53\u3002<\/p>\n<p>\u6211\u4eec\u8fdb\u4e00\u6b65\u63a2\u7d22\u4e86\u4eceDeepSeek-R1\u5230\u8f83\u5c0f\u5bc6\u96c6\u6a21\u578b\u7684\u84b8\u998f\u3002\u4f7f\u7528Qwen2.5-32B\uff08Qwen\uff0c2024b\uff09\u4f5c\u4e3a\u57fa\u7840\u6a21\u578b\uff0c\u4eceDeepSeek-R1\u76f4\u63a5\u8fdb\u884c\u84b8\u998f\u7684\u6027\u80fd\u4f18\u4e8e\u5728\u5176\u4e0a\u5e94\u7528RL\u3002\u8fd9\u8868\u660e\uff0c\u8f83\u5927\u7684\u57fa\u7840\u6a21\u578b\u53d1\u73b0\u7684\u63a8\u7406\u6a21\u5f0f\u5bf9\u4e8e\u63d0\u9ad8\u63a8\u7406\u80fd\u529b\u81f3\u5173\u91cd\u8981\u3002\u6211\u4eec\u5f00\u6e90\u4e86\u84b8\u998f\u7684Qwen\u548cLlama\uff08Dubey et al., 2024\uff09\u7cfb\u5217\u6a21\u578b\u3002\u503c\u5f97\u6ce8\u610f\u7684\u662f\uff0c\u6211\u4eec\u84b8\u998f\u768414B\u6a21\u578b\u5927\u5e45\u8d85\u8d8a\u4e86\u6700\u5148\u8fdb\u7684\u5f00\u6e90QwQ-32B-Preview\uff08Qwen\uff0c2024a\uff09\uff0c\u5e76\u4e14\u84b8\u998f\u768432B\u548c70B\u6a21\u578b\u5728\u5bc6\u96c6\u6a21\u578b\u4e2d\u7684\u63a8\u7406\u57fa\u51c6\u4e0a\u521b\u9020\u4e86\u65b0\u7684\u8bb0\u5f55\u3002<\/p>\n<h4>1.1 \u8d21\u732e<\/h4>\n<p>\u540e\u8bad\u7ec3\uff1a\u57fa\u4e8e\u57fa\u7840\u6a21\u578b\u7684\u5927\u89c4\u6a21\u5f3a\u5316\u5b66\u4e60<\/p>\n<ul>\n<li>\u6211\u4eec\u76f4\u63a5\u5c06\u5f3a\u5316\u5b66\u4e60\uff08RL\uff09\u5e94\u7528\u4e8e\u57fa\u7840\u6a21\u578b\uff0c\u800c\u4e0d\u4f9d\u8d56\u4e8e\u76d1\u7763\u5fae\u8c03\uff08SFT\uff09\u4f5c\u4e3a\u521d\u6b65\u6b65\u9aa4\u3002\u8fd9\u79cd\u65b9\u6cd5\u5141\u8bb8\u6a21\u578b\u63a2\u7d22\u89e3\u51b3\u590d\u6742\u95ee\u9898\u7684\u601d\u7ef4\u94fe\uff08CoT\uff09\uff0c\u4ece\u800c\u5f00\u53d1\u51faDeepSeek-R1-Zero\u3002DeepSeek-R1-Zero\u5c55\u793a\u4e86\u81ea\u6211\u9a8c\u8bc1\u3001\u53cd\u601d\u548c\u751f\u6210\u957fCoT\u7b49\u80fd\u529b\uff0c\u6807\u5fd7\u7740\u7814\u7a76\u754c\u7684\u4e00\u4e2a\u91cd\u8981\u91cc\u7a0b\u7891\u3002\u503c\u5f97\u6ce8\u610f\u7684\u662f\uff0c\u8fd9\u662f\u7b2c\u4e00\u4e2a\u516c\u5f00\u7814\u7a76\u9a8c\u8bc1LLM\u7684\u63a8\u7406\u80fd\u529b\u53ef\u4ee5\u901a\u8fc7\u7eaf\u7cb9\u7684RL\u6765\u6fc0\u52b1\uff0c\u800c\u4e0d\u9700\u8981SFT\u3002\u8fd9\u4e00\u7a81\u7834\u4e3a\u8be5\u9886\u57df\u7684\u672a\u6765\u53d1\u5c55\u94fa\u5e73\u4e86\u9053\u8def\u3002<\/li>\n<li>\u6211\u4eec\u4ecb\u7ecd\u4e86\u5f00\u53d1DeepSeek-R1\u7684\u6d41\u7a0b\u3002\u8be5\u6d41\u7a0b\u5305\u542b\u4e24\u4e2aRL\u9636\u6bb5\uff0c\u65e8\u5728\u53d1\u73b0\u6539\u8fdb\u7684\u63a8\u7406\u6a21\u5f0f\u5e76\u4e0e\u4eba\u7c7b\u504f\u597d\u4fdd\u6301\u4e00\u81f4\uff0c\u4ee5\u53ca\u4e24\u4e2aSFT\u9636\u6bb5\uff0c\u4f5c\u4e3a\u6a21\u578b\u63a8\u7406\u548c\u975e\u63a8\u7406\u80fd\u529b\u7684\u79cd\u5b50\u3002\u6211\u4eec\u76f8\u4fe1\uff0c\u8be5\u6d41\u7a0b\u5c06\u901a\u8fc7\u521b\u5efa\u66f4\u597d\u7684\u6a21\u578b\u6765\u9020\u798f\u8be5\u884c\u4e1a\u3002<\/li>\n<\/ul>\n<p>\u84b8\u998f\uff1a\u5c0f\u578b\u6a21\u578b\u4e5f\u53ef\u4ee5\u5f88\u5f3a\u5927<\/p>\n<ul>\n<li>\u6211\u4eec\u8bc1\u660e\u4e86\u5927\u578b\u6a21\u578b\u7684\u63a8\u7406\u6a21\u5f0f\u53ef\u4ee5\u88ab\u84b8\u998f\u5230\u8f83\u5c0f\u7684\u6a21\u578b\u4e2d\uff0c\u4e0e\u5728\u5c0f\u578b\u6a21\u578b\u4e0a\u901a\u8fc7RL\u53d1\u73b0\u7684\u63a8\u7406\u6a21\u5f0f\u76f8\u6bd4\uff0c\u53ef\u4ee5\u83b7\u5f97\u66f4\u597d\u7684\u6027\u80fd\u3002\u5f00\u6e90\u7684DeepSeek-R1\u53ca\u5176API\u5c06\u6709\u5229\u4e8e\u7814\u7a76\u754c\u5728\u672a\u6765\u84b8\u998f\u51fa\u66f4\u597d\u7684\u5c0f\u578b\u6a21\u578b\u3002<\/li>\n<li>\u901a\u8fc7\u4f7f\u7528DeepSeek-R1\u751f\u6210\u7684\u63a8\u7406\u6570\u636e\uff0c\u6211\u4eec\u5bf9\u7814\u7a76\u754c\u5e7f\u6cdb\u4f7f\u7528\u7684\u51e0\u79cd\u5bc6\u96c6\u6a21\u578b\u8fdb\u884c\u4e86\u5fae\u8c03\u3002\u8bc4\u4f30\u7ed3\u679c\u8868\u660e\uff0c\u84b8\u998f\u540e\u7684\u5c0f\u578b\u5bc6\u96c6\u6a21\u578b\u5728\u57fa\u51c6\u6d4b\u8bd5\u4e2d\u8868\u73b0\u51fa\u8272\u3002DeepSeek-R1-Distill-Qwen-7B\u5728AIME 2024\u4e0a\u8fbe\u523055.5%\u7684\u6210\u7ee9\uff0c\u8d85\u8fc7\u4e86QwQ-32B-Preview\u3002\u6b64\u5916\uff0cDeepSeek-R1-Distill-Qwen-32B\u5728AIME 2024\u4e0a\u5f97\u5206\u4e3a72.6%\uff0c\u5728MATH-500\u4e0a\u5f97\u5206\u4e3a94.3%\uff0c\u5728LiveCodeBench\u4e0a\u5f97\u5206\u4e3a57.2%\u3002\u8fd9\u4e9b\u7ed3\u679c\u663e\u8457\u4f18\u4e8e\u4ee5\u524d\u7684\u5f00\u6e90\u6a21\u578b\uff0c\u5e76\u4e14\u4e0eo1-mini\u76f8\u5f53\u3002\u6211\u4eec\u5411\u793e\u533a\u5f00\u6e90\u4e86\u57fa\u4e8eQwen2.5\u548cLlama3\u7cfb\u5217\u7684\u84b8\u998f1.5B\u30017B\u30018B\u300114B\u300132B\u548c70B\u68c0\u67e5\u70b9\u3002<\/li>\n<\/ul>\n<h4>1.2 \u8bc4\u4f30\u7ed3\u679c\u603b\u7ed3<\/h4>\n<ul>\n<li>\u63a8\u7406\u4efb\u52a1\uff1a\uff081\uff09DeepSeek-R1\u5728AIME 2024\u4e0a\u83b7\u5f9779.8%\u7684pass@1\u5f97\u5206\uff0c\u7565\u5fae\u8d85\u8fc7OpenAI-o1-1217\u3002\u5728MATH-500\u4e0a\uff0c\u5b83\u83b7\u5f97\u4e86\u60ca\u4eba\u768497.3%\u7684\u5f97\u5206\uff0c\u4e0eOpenAI-o1-1217\u7684\u6027\u80fd\u76f8\u5f53\uff0c\u5e76\u4e14\u663e\u8457\u4f18\u4e8e\u5176\u4ed6\u6a21\u578b\u3002\uff082\uff09\u5728\u7f16\u7801\u76f8\u5173\u4efb\u52a1\u4e0a\uff0cDeepSeek-R1\u5728\u4ee3\u7801\u7ade\u8d5b\u4efb\u52a1\u4e2d\u5c55\u793a\u4e86\u4e13\u5bb6\u7ea7\u6c34\u5e73\uff0c\u56e0\u4e3a\u5b83\u5728Codeforces\u4e0a\u83b7\u5f97\u4e862,029 Elo\u8bc4\u7ea7\uff0c\u8d85\u8fc7\u4e86\u8be5\u7ade\u8d5b\u4e2d96.3%\u7684\u4eba\u7c7b\u53c2\u4e0e\u8005\u3002\u5bf9\u4e8e\u5de5\u7a0b\u76f8\u5173\u7684\u4efb\u52a1\uff0cDeepSeek-R1\u7684\u8868\u73b0\u7565\u597d\u4e8eDeepSeek-V3\uff0c\u8fd9\u6709\u52a9\u4e8e\u5f00\u53d1\u8005\u5728\u73b0\u5b9e\u4e16\u754c\u4e2d\u5f00\u5c55\u5de5\u4f5c\u3002<\/li>\n<li>****\u77e5\u8bc6\uff1a\u5728MMLU\u3001MMLU-Pro\u548cGPQA Diamond\u7b49\u57fa\u51c6\u4e0a\uff0cDeepSeek-R1\u53d6\u5f97\u4e86\u51fa\u8272\u7684\u6210\u7ee9\uff0c\u663e\u8457\u4f18\u4e8eDeepSeek-V3\uff0c\u5728MMLU\u4e0a\u5f97\u5206\u4e3a90.8%\uff0c\u5728MMLU-Pro\u4e0a\u5f97\u5206\u4e3a84.0%\uff0c\u5728GPQA Diamond\u4e0a\u5f97\u5206\u4e3a71.5%\u3002\u867d\u7136\u5176\u6027\u80fd\u7565\u4f4e\u4e8eOpenAI-01-1217\u5728\u8fd9\u4e9b\u57fa\u51c6\u4e0a\u7684\u8868\u73b0\uff0c\u4f46DeepSeek-R1\u8d85\u8fc7\u4e86\u5176\u4ed6\u95ed\u6e90\u6a21\u578b\uff0c\u5c55\u793a\u4e86\u5176\u5728\u6559\u80b2\u4efb\u52a1\u4e2d\u7684\u7ade\u4e89\u4f18\u52bf\u3002\u5728\u4e8b\u5b9e\u57fa\u51c6SimpleQA\u4e0a\uff0cDeepSeek-R1\u7684\u6027\u80fd\u4f18\u4e8eDeepSeek-V3\uff0c\u5c55\u793a\u4e86\u5176\u5904\u7406\u57fa\u4e8e\u4e8b\u5b9e\u7684\u67e5\u8be2\u7684\u80fd\u529b\u3002\u5728OpenAI-o1\u8d85\u8d8a4o\u7684\u8be5\u57fa\u51c6\u6d4b\u8bd5\u4e2d\u89c2\u5bdf\u5230\u4e86\u7c7b\u4f3c\u7684\u8d8b\u52bf\u3002<\/li>\n<li>\u5176\u4ed6\uff1a\u00a0DeepSeek-R1\u5728\u5404\u79cd\u4efb\u52a1\u4e2d\u4e5f\u8868\u73b0\u51fa\u8272\uff0c\u5305\u62ec\u521b\u610f\u5199\u4f5c\u3001\u4e00\u822c\u95ee\u9898\u56de\u7b54\u3001\u7f16\u8f91\u3001\u6458\u8981\u7b49\u7b49\u3002\u5b83\u5728AlpacaEval 2.0\u4e0a\u53d6\u5f97\u4e8687.6%\u7684\u957f\u5ea6\u63a7\u5236\u83b7\u80dc\u7387\uff0c\u5728ArenaHard\u4e0a\u53d6\u5f97\u4e8692.3%\u7684\u83b7\u80dc\u7387\uff0c\u5c55\u793a\u4e86\u5176\u667a\u80fd\u5904\u7406\u975e\u8003\u8bd5\u5bfc\u5411\u67e5\u8be2\u7684\u5f3a\u5927\u80fd\u529b\u3002\u6b64\u5916\uff0cDeepSeek-R1\u5728\u9700\u8981\u957f\u4e0a\u4e0b\u6587\u7406\u89e3\u7684\u4efb\u52a1\u4e2d\u8868\u73b0\u51fa\u8272\uff0c\u5728\u957f\u4e0a\u4e0b\u6587\u57fa\u51c6\u6d4b\u8bd5\u4e2d\u663e\u8457\u4f18\u4e8eDeepSeek-V3\u3002<\/li>\n<\/ul>\n<h2>2. \u65b9\u6cd5<\/h2>\n<h4>2.1 \u6982\u8ff0<\/h4>\n<p>\u5148\u524d\u7684\u5de5\u4f5c\u4e25\u91cd\u4f9d\u8d56\u4e8e\u5927\u91cf\u7684\u76d1\u7763\u6570\u636e\u6765\u63d0\u9ad8\u6a21\u578b\u6027\u80fd\u3002\u5728\u672c\u7814\u7a76\u4e2d\uff0c\u6211\u4eec\u8bc1\u660e\u4e86\u63a8\u7406\u80fd\u529b\u53ef\u4ee5\u901a\u8fc7\u5927\u89c4\u6a21\u5f3a\u5316\u5b66\u4e60\uff08RL\uff09\u5f97\u5230\u663e\u8457\u63d0\u9ad8\uff0c\u5373\u4f7f\u4e0d\u4f7f\u7528\u76d1\u7763\u5fae\u8c03\uff08SFT\uff09\u4f5c\u4e3a\u51b7\u542f\u52a8\u4e5f\u662f\u5982\u6b64\u3002\u6b64\u5916\uff0c\u901a\u8fc7\u5305\u542b\u5c11\u91cf\u7684\u51b7\u542f\u52a8\u6570\u636e\uff0c\u6027\u80fd\u53ef\u4ee5\u5f97\u5230\u8fdb\u4e00\u6b65\u589e\u5f3a\u3002\u5728\u4ee5\u4e0b\u7ae0\u8282\u4e2d\uff0c\u6211\u4eec\u4ecb\u7ecd\uff1a\uff081\uff09DeepSeek-R1-Zero\uff0c\u5b83\u5728\u6ca1\u6709\u4efb\u4f55SFT\u6570\u636e\u7684\u60c5\u51b5\u4e0b\u76f4\u63a5\u5c06RL\u5e94\u7528\u4e8e\u57fa\u7840\u6a21\u578b\uff0c\u4ee5\u53ca\uff082\uff09DeepSeek-R1\uff0c\u5b83\u4ece\u7528\u6570\u5343\u4e2a\u957f\u601d\u7ef4\u94fe\uff08CoT\uff09\u793a\u4f8b\u5fae\u8c03\u7684\u68c0\u67e5\u70b9\u5f00\u59cb\u5e94\u7528RL\u30023\uff09\u5c06DeepSeek-R1\u7684\u63a8\u7406\u80fd\u529b\u84b8\u998f\u5230\u5c0f\u578b\u5bc6\u96c6\u6a21\u578b\u4e2d\u3002<\/p>\n<h4>2.2 DeepSeek-R1-Zero\uff1a\u57fa\u4e8e\u57fa\u7840\u6a21\u578b\u7684\u5f3a\u5316\u5b66\u4e60<\/h4>\n<p>\u5f3a\u5316\u5b66\u4e60\u5df2\u5728\u63a8\u7406\u4efb\u52a1\u4e2d\u8868\u73b0\u51fa\u663e\u8457\u7684\u6709\u6548\u6027\uff0c\u8fd9\u5728\u6211\u4eec\u5148\u524d\u7684\u5de5\u4f5c\u4e2d\u5f97\u5230\u4e86\u8bc1\u660e\uff08Shao et al., 2024; Wang et al., 2023\uff09\u3002\u7136\u800c\uff0c\u8fd9\u4e9b\u5de5\u4f5c\u5f88\u5927\u7a0b\u5ea6\u4e0a\u4f9d\u8d56\u4e8e\u76d1\u7763\u6570\u636e\uff0c\u800c\u76d1\u7763\u6570\u636e\u7684\u6536\u96c6\u9700\u8981\u8017\u8d39\u5927\u91cf\u7684\u65f6\u95f4\u3002\u5728\u672c\u8282\u4e2d\uff0c\u6211\u4eec\u63a2\u7d22\u4e86LLM\u5728\u6ca1\u6709\u4efb\u4f55\u76d1\u7763\u6570\u636e\u7684\u60c5\u51b5\u4e0b\u53d1\u5c55\u63a8\u7406\u80fd\u529b\u7684\u6f5c\u529b\uff0c\u91cd\u70b9\u662f\u901a\u8fc7\u7eaf\u7cb9\u7684\u5f3a\u5316\u5b66\u4e60\u8fc7\u7a0b\u8fdb\u884c\u81ea\u6211\u6f14\u5316\u3002\u6211\u4eec\u9996\u5148\u7b80\u8981\u6982\u8ff0\u6211\u4eec\u7684\u5f3a\u5316\u5b66\u4e60\u7b97\u6cd5\uff0c\u7136\u540e\u4ecb\u7ecd\u4e00\u4e9b\u4ee4\u4eba\u5174\u594b\u7684\u7ed3\u679c\uff0c\u5e0c\u671b\u8fd9\u80fd\u4e3a\u793e\u533a\u63d0\u4f9b\u6709\u4ef7\u503c\u7684\u89c1\u89e3\u3002<\/p>\n<p>\u7ec4\u76f8\u5bf9\u7b56\u7565\u4f18\u5316\u00a0\u4e3a\u4e86\u8282\u7701RL\u7684\u8bad\u7ec3\u6210\u672c\uff0c\u6211\u4eec\u91c7\u7528\u4e86\u7ec4\u76f8\u5bf9\u7b56\u7565\u4f18\u5316\uff08GRPO\uff09\uff08Shao et al., 2024\uff09\uff0c\u5b83\u653e\u5f03\u4e86\u901a\u5e38\u4e0e\u7b56\u7565\u6a21\u578b\u5927\u5c0f\u76f8\u540c\u7684\u8bc4\u8bba\u5bb6\u6a21\u578b\uff0c\u800c\u662f\u4ece\u7ec4\u5206\u6570\u4e2d\u4f30\u8ba1\u57fa\u7ebf\u3002\u5177\u4f53\u800c\u8a00\uff0c\u5bf9\u4e8e\u6bcf\u4e2a\u95ee\u9898q\uff0cGRPO\u4ece\u65e7\u7b56\u7565\u03c0\u03b8old\u4e2d\u91c7\u6837\u4e00\u7ec4\u8f93\u51fa{o1, o2,\u2026, oG}\uff0c\u7136\u540e\u901a\u8fc7\u6700\u5927\u5316\u4ee5\u4e0b\u76ee\u6807\u6765\u4f18\u5316\u7b56\u7565\u6a21\u578b\u03c0\u03b8\uff1a<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-19036\" title=\"DeepSeek-R1\uff1a\u901a\u8fc7\u5f3a\u5316\u5b66\u4e60\u6fc0\u52b1LLM\u7684\u63a8\u7406\u80fd\u529b-1\" src=\"https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2025\/01\/c143d0962ae8e97.png\" alt=\"DeepSeek-R1\uff1a\u901a\u8fc7\u5f3a\u5316\u5b66\u4e60\u6fc0\u52b1LLM\u7684\u63a8\u7406\u80fd\u529b-1\" width=\"925\" height=\"191\" srcset=\"https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2025\/01\/c143d0962ae8e97.png 925w, https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2025\/01\/c143d0962ae8e97-300x62.png 300w, https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2025\/01\/c143d0962ae8e97-768x159.png 768w, https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2025\/01\/c143d0962ae8e97-18x4.png 18w\" sizes=\"auto, (max-width: 925px) 100vw, 925px\" \/><\/p>\n<p>\u5176\u4e2d\u025b\u548c\u03b2\u662f\u8d85\u53c2\u6570\uff0c\u800cAi\u662f\u4f18\u52bf\uff0c\u4f7f\u7528\u6bcf\u4e2a\u7ec4\u5185\u8f93\u51fa\u5bf9\u5e94\u7684\u5956\u52b1{r1,r2, . . ., rG}\u8fdb\u884c\u8ba1\u7b97\uff1a<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-19037\" title=\"DeepSeek-R1\uff1a\u901a\u8fc7\u5f3a\u5316\u5b66\u4e60\u6fc0\u52b1LLM\u7684\u63a8\u7406\u80fd\u529b-1\" src=\"https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2025\/01\/f4aac99fd965b6f.png\" alt=\"DeepSeek-R1\uff1a\u901a\u8fc7\u5f3a\u5316\u5b66\u4e60\u6fc0\u52b1LLM\u7684\u63a8\u7406\u80fd\u529b-1\" width=\"653\" height=\"84\" srcset=\"https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2025\/01\/f4aac99fd965b6f.png 653w, https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2025\/01\/f4aac99fd965b6f-300x39.png 300w, https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2025\/01\/f4aac99fd965b6f-18x2.png 18w\" sizes=\"auto, (max-width: 653px) 100vw, 653px\" \/><\/p>\n<p>\u5956\u52b1\u662f\u8bad\u7ec3\u4fe1\u53f7\u7684\u6765\u6e90\uff0c\u5b83\u51b3\u5b9a\u4e86RL\u7684\u4f18\u5316\u65b9\u5411\u3002\u4e3a\u4e86\u8bad\u7ec3DeepSeek-R1-Zero\uff0c\u6211\u4eec\u91c7\u7528\u4e86\u4e00\u4e2a\u57fa\u4e8e\u89c4\u5219\u7684\u5956\u52b1\u7cfb\u7edf\uff0c\u8be5\u7cfb\u7edf\u4e3b\u8981\u7531\u4ee5\u4e0b\u4e24\u79cd\u5956\u52b1\u7ec4\u6210\uff1a<\/p>\n<ul>\n<li>\u51c6\u786e\u6027\u5956\u52b1\uff1a\u00a0\u51c6\u786e\u6027\u5956\u52b1\u6a21\u578b\u8bc4\u4f30\u54cd\u5e94\u662f\u5426\u6b63\u786e\u3002\u4f8b\u5982\uff0c\u5bf9\u4e8e\u5177\u6709\u786e\u5b9a\u6027\u7ed3\u679c\u7684\u6570\u5b66\u95ee\u9898\uff0c\u6a21\u578b\u9700\u8981\u5728\u6307\u5b9a\u683c\u5f0f\uff08\u4f8b\u5982\uff0c\u5728\u4e00\u4e2a\u6846\u5185\uff09\u4e2d\u63d0\u4f9b\u6700\u7ec8\u7b54\u6848\uff0c\u4ece\u800c\u53ef\u4ee5\u53ef\u9760\u5730\u8fdb\u884c\u57fa\u4e8e\u89c4\u5219\u7684\u6b63\u786e\u6027\u9a8c\u8bc1\u3002\u7c7b\u4f3c\u5730\uff0c\u5bf9\u4e8eLeetCode\u95ee\u9898\uff0c\u53ef\u4ee5\u4f7f\u7528\u7f16\u8bd1\u5668\u6839\u636e\u9884\u5b9a\u4e49\u7684\u6d4b\u8bd5\u7528\u4f8b\u751f\u6210\u53cd\u9988\u3002<\/li>\n<li>\u683c\u5f0f\u5956\u52b1\uff1a\u00a0\u9664\u4e86\u51c6\u786e\u6027\u5956\u52b1\u6a21\u578b\u5916\uff0c\u6211\u4eec\u8fd8\u91c7\u7528\u4e86\u5f3a\u5236\u6a21\u578b\u5c06\u601d\u7ef4\u8fc7\u7a0b\u653e\u5728&#8221;\u548c&#8221;\u6807\u7b7e\u4e4b\u95f4\u7684\u683c\u5f0f\u5956\u52b1\u6a21\u578b\u3002<\/li>\n<\/ul>\n<p>\u6211\u4eec\u6ca1\u6709\u5728DeepSeek-R1-Zero\u7684\u5f00\u53d1\u4e2d\u4f7f\u7528\u7ed3\u679c\u6216\u8fc7\u7a0b\u795e\u7ecf\u5956\u52b1\u6a21\u578b\uff0c\u56e0\u4e3a\u6211\u4eec\u53d1\u73b0\u795e\u7ecf\u5956\u52b1\u6a21\u578b\u5728\u5927\u578b\u5f3a\u5316\u5b66\u4e60\u8fc7\u7a0b\u4e2d\u53ef\u80fd\u4f1a\u906d\u53d7\u5956\u52b1\u9ed1\u5ba2\u653b\u51fb\uff0c\u5e76\u4e14\u91cd\u65b0\u8bad\u7ec3\u5956\u52b1\u6a21\u578b\u9700\u8981\u989d\u5916\u7684\u8bad\u7ec3\u8d44\u6e90\uff0c\u8fd9\u4f1a\u4f7f\u6574\u4e2a\u8bad\u7ec3\u6d41\u7a0b\u53d8\u5f97\u590d\u6742\u3002<\/p>\n<p>\u4e3a\u4e86\u8bad\u7ec3DeepSeek-R1-Zero\uff0c\u6211\u4eec\u9996\u5148\u8bbe\u8ba1\u4e86\u4e00\u4e2a\u7b80\u5355\u7684\u6a21\u677f\uff0c\u8be5\u6a21\u677f\u6307\u5bfc\u57fa\u7840\u6a21\u578b\u9075\u5b88\u6211\u4eec\u6307\u5b9a\u7684\u6307\u4ee4\u3002\u5982\u88681\u6240\u793a\uff0c\u6b64\u6a21\u677f\u8981\u6c42DeepSeek-R1-Zero\u9996\u5148\u751f\u6210\u63a8\u7406\u8fc7\u7a0b\uff0c\u7136\u540e\u751f\u6210\u6700\u7ec8\u7b54\u6848\u3002\u6211\u4eec\u6709\u610f\u5c06\u7ea6\u675f\u9650\u5236\u5728\u6b64\u7ed3\u6784\u683c\u5f0f\u4e2d\uff0c\u907f\u514d\u4efb\u4f55\u7279\u5b9a\u4e8e\u5185\u5bb9\u7684\u504f\u89c1\uff0c\u4f8b\u5982\u5f3a\u5236\u53cd\u601d\u63a8\u7406\u6216\u4fc3\u8fdb\u7279\u5b9a\u7684\u89e3\u51b3\u95ee\u9898\u7b56\u7565\uff0c\u4ee5\u786e\u4fdd\u6211\u4eec\u53ef\u4ee5\u51c6\u786e\u89c2\u5bdf\u6a21\u578b\u5728\u5f3a\u5316\u5b66\u4e60\uff08RL\uff09\u8fc7\u7a0b\u4e2d\u7684\u81ea\u7136\u8fdb\u5c55\u3002<\/p>\n<p>&nbsp;<\/p>\n<pre>\u7528\u6237\u4e0e\u52a9\u624b\u4e4b\u95f4\u7684\u5bf9\u8bdd\u3002\u7528\u6237\u63d0\u51fa\u4e00\u4e2a\u95ee\u9898\uff0c\u52a9\u624b\u89e3\u51b3\u8be5\u95ee\u9898\u3002 \r\n\u52a9\u624b\u9996\u5148\u5728\u8111\u6d77\u4e2d\u601d\u8003\u63a8\u7406\u8fc7\u7a0b\uff0c\u7136\u540e\u4e3a\u7528\u6237\u63d0\u4f9b\u7b54\u6848\u3002 \r\n\u63a8\u7406\u8fc7\u7a0b\u548c\u7b54\u6848\u5206\u522b\u7528 &lt;think&gt; &lt;\/think&gt; \u548c &lt;answer&gt; &lt;\/answer&gt; \u6807\u7b7e\u62ec\u8d77\u6765\uff0c\u5373\uff1a \r\n&lt;think&gt; \u6b64\u5904\u4e3a\u63a8\u7406\u8fc7\u7a0b &lt;\/think&gt; \r\n&lt;answer&gt; \u6b64\u5904\u4e3a\u7b54\u6848 &lt;\/answer&gt;\u3002 \r\n\u7528\u6237\uff1a<span style=\"color: #ff0000;\">\u63d0\u793a<\/span>\u3002\u52a9\u624b\uff1a<\/pre>\n<p>\u88681 | DeepSeek-R1-Zero\u7684\u6a21\u677f\u3002\u8bad\u7ec3\u671f\u95f4\uff0c<span style=\"color: #ff0000;\">\u63d0\u793a<\/span>\u5c06\u66ff\u6362\u4e3a\u7279\u5b9a\u7684\u63a8\u7406\u95ee\u9898\u3002<\/p>\n<p>&nbsp;<\/p>\n<p>DeepSeek-R1-Zero\u7684\u6027\u80fd\u00a0\u56fe2\u63cf\u8ff0\u4e86DeepSeek-R1-Zero\u5728\u6574\u4e2a\u5f3a\u5316\u5b66\u4e60\uff08RL\uff09\u8bad\u7ec3\u8fc7\u7a0b\u4e2d\u5728AIME 2024\u57fa\u51c6\u4e0a\u7684\u6027\u80fd\u8f68\u8ff9\u3002\u5982\u56fe\u6240\u793a\uff0c\u968f\u7740RL\u8bad\u7ec3\u7684\u63a8\u8fdb\uff0cDeepSeek-R1-Zero\u7684\u6027\u80fd\u8868\u73b0\u51fa\u7a33\u5b9a\u4e14\u6301\u7eed\u7684\u589e\u5f3a\u3002\u503c\u5f97\u6ce8\u610f\u7684\u662f\uff0cAIME 2024\u7684\u5e73\u5747pass@1\u5f97\u5206\u663e\u793a\u51fa\u663e\u8457\u7684\u589e\u957f\uff0c\u4ece\u6700\u521d\u768415.6%\u8dc3\u5347\u81f3\u4ee4\u4eba\u5370\u8c61\u6df1\u523b\u768471.0%\uff0c\u8fbe\u5230\u4e86\u4e0eOpenAI-01-0912\u76f8\u5f53\u7684\u6027\u80fd\u6c34\u5e73\u3002\u8fd9\u4e00\u663e\u8457\u7684\u6539\u8fdb\u51f8\u663e\u4e86\u6211\u4eec\u7684RL\u7b97\u6cd5\u5728\u4f18\u5316\u6a21\u578b\u6027\u80fd\u65b9\u9762\u7684\u6709\u6548\u6027\u3002<\/p>\n<p>\u88682\u63d0\u4f9b\u4e86DeepSeek-R1-Zero\u548cOpenAI\u7684o1-0912\u6a21\u578b\u5728\u5404\u79cd\u63a8\u7406\u76f8\u5173\u57fa\u51c6\u4e0a\u7684\u6bd4\u8f83\u5206\u6790\u3002\u7814\u7a76\u7ed3\u679c\u8868\u660e\uff0cRL\u4f7f<\/p>\n<div id=\"attachment_19038\" style=\"width: 728px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-19038\" class=\"wp-image-19038 size-full\" title=\"DeepSeek-R1\uff1a\u901a\u8fc7\u5f3a\u5316\u5b66\u4e60\u6fc0\u52b1LLM\u7684\u63a8\u7406\u80fd\u529b-1\" src=\"https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2025\/01\/f4edcc015ddee71.png\" alt=\"DeepSeek-R1\uff1a\u901a\u8fc7\u5f3a\u5316\u5b66\u4e60\u6fc0\u52b1LLM\u7684\u63a8\u7406\u80fd\u529b-1\" width=\"718\" height=\"176\" srcset=\"https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2025\/01\/f4edcc015ddee71.png 718w, https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2025\/01\/f4edcc015ddee71-300x74.png 300w, https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2025\/01\/f4edcc015ddee71-18x4.png 18w\" sizes=\"auto, (max-width: 718px) 100vw, 718px\" \/><p id=\"caption-attachment-19038\" class=\"wp-caption-text\">\u88682 | DeepSeek-R1-Zero\u548cOpenAI o1\u6a21\u578b\u5728\u63a8\u7406\u76f8\u5173\u57fa\u51c6\u4e0a\u7684\u6bd4\u8f83\u3002<\/p><\/div>\n<div id=\"attachment_19039\" style=\"width: 842px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-19039\" class=\"wp-image-19039 size-full\" title=\"DeepSeek-R1\uff1a\u901a\u8fc7\u5f3a\u5316\u5b66\u4e60\u6fc0\u52b1LLM\u7684\u63a8\u7406\u80fd\u529b-1\" src=\"https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2025\/01\/e30cfb542a5e875.png\" alt=\"DeepSeek-R1\uff1a\u901a\u8fc7\u5f3a\u5316\u5b66\u4e60\u6fc0\u52b1LLM\u7684\u63a8\u7406\u80fd\u529b-1\" width=\"832\" height=\"517\" srcset=\"https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2025\/01\/e30cfb542a5e875.png 832w, https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2025\/01\/e30cfb542a5e875-300x186.png 300w, https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2025\/01\/e30cfb542a5e875-768x477.png 768w, https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2025\/01\/e30cfb542a5e875-18x12.png 18w\" sizes=\"auto, (max-width: 832px) 100vw, 832px\" \/><p id=\"caption-attachment-19039\" class=\"wp-caption-text\">\u56fe2 | DeepSeek-R1-Zero\u5728\u8bad\u7ec3\u671f\u95f4\u7684AIME\u51c6\u786e\u7387\u3002\u5bf9\u4e8e\u6bcf\u4e2a\u95ee\u9898\uff0c\u6211\u4eec\u91c7\u683716\u4e2a\u54cd\u5e94\u5e76\u8ba1\u7b97\u603b\u4f53\u5e73\u5747\u51c6\u786e\u7387\u4ee5\u786e\u4fdd\u7a33\u5b9a\u7684\u8bc4\u4f30\u3002<\/p><\/div>\n<p>&nbsp;<\/p>\n<p>DeepSeek-R1-Zero\u65e0\u9700\u4efb\u4f55\u76d1\u7763\u5fae\u8c03\u6570\u636e\u5373\u53ef\u83b7\u5f97\u5f3a\u5927\u7684\u63a8\u7406\u80fd\u529b\u3002\u8fd9\u662f\u4e00\u9879\u503c\u5f97\u6ce8\u610f\u7684\u6210\u5c31\uff0c\u56e0\u4e3a\u5b83\u5f3a\u8c03\u4e86\u6a21\u578b\u4ec5\u901a\u8fc7RL\u5c31\u80fd\u6709\u6548\u5b66\u4e60\u548c\u6cdb\u5316\u7684\u80fd\u529b\u3002\u6b64\u5916\uff0cDeepSeek-R1-Zero\u7684\u6027\u80fd\u53ef\u4ee5\u901a\u8fc7\u5e94\u7528\u591a\u6570\u6295\u7968\u5f97\u5230\u8fdb\u4e00\u6b65\u589e\u5f3a\u3002\u4f8b\u5982\uff0c\u5f53\u5728AIME\u57fa\u51c6\u6d4b\u8bd5\u4e2d\u4f7f\u7528\u591a\u6570\u6295\u7968\u65f6\uff0cDeepSeek-R1-Zero\u7684\u6027\u80fd\u4ece71.0%\u63d0\u5347\u523086.7%\uff0c\u4ece\u800c\u8d85\u8fc7\u4e86OpenAI-01-0912\u7684\u6027\u80fd\u3002DeepSeek-R1-Zero\u5728\u6709\u548c\u6ca1\u6709\u591a\u6570\u6295\u7968\u7684\u60c5\u51b5\u4e0b\u90fd\u80fd\u8fbe\u5230\u5982\u6b64\u6709\u7ade\u4e89\u529b\u7684\u6027\u80fd\uff0c\u7a81\u663e\u4e86\u5176\u5f3a\u5927\u7684\u57fa\u7840\u80fd\u529b\u53ca\u5176\u5728\u63a8\u7406\u4efb\u52a1\u65b9\u9762\u8fdb\u4e00\u6b65\u53d1\u5c55\u7684\u6f5c\u529b\u3002<\/p>\n<p>DeepSeek-R1-Zero\u7684\u81ea\u6211\u6f14\u5316\u8fc7\u7a0b\u00a0DeepSeek-R1-Zero\u7684\u81ea\u6211\u6f14\u5316\u8fc7\u7a0b\u662fRL\u5982\u4f55\u9a71\u52a8\u6a21\u578b\u81ea\u4e3b\u63d0\u9ad8\u63a8\u7406\u80fd\u529b\u7684\u5f15\u4eba\u5165\u80dc\u7684\u6f14\u793a\u3002\u901a\u8fc7\u76f4\u63a5\u4ece\u57fa\u7840\u6a21\u578b\u542f\u52a8RL\uff0c\u6211\u4eec\u53ef\u4ee5\u5728\u4e0d\u53d7\u76d1\u7763\u5fae\u8c03\u9636\u6bb5\u5f71\u54cd\u7684\u60c5\u51b5\u4e0b\u5bc6\u5207\u76d1\u63a7\u6a21\u578b\u7684\u8fdb\u5c55\u3002\u8fd9\u79cd\u65b9\u6cd5\u63d0\u4f9b\u4e86\u6a21\u578b\u968f\u65f6\u95f4\u63a8\u79fb\u5982\u4f55\u6f14\u53d8\u7684\u6e05\u6670\u89c6\u56fe\uff0c\u5c24\u5176\u662f\u5728\u5904\u7406\u590d\u6742\u63a8\u7406\u4efb\u52a1\u7684\u80fd\u529b\u65b9\u9762\u3002<\/p>\n<p>\u5982\u56fe3\u6240\u793a\uff0cDeepSeek-R1-Zero\u7684\u601d\u8003\u65f6\u95f4\u663e\u793a\u51fa\u5728\u6574\u4e2a\u8bad\u7ec3\u8fc7\u7a0b\u4e2d\u6301\u7eed\u7684\u63d0\u9ad8\u3002\u8fd9\u79cd\u6539\u8fdb\u4e0d\u662f\u5916\u90e8\u8c03\u6574\u7684\u7ed3\u679c\uff0c\u800c\u662f\u6a21\u578b\u5185\u90e8\u7684\u4e00\u79cd\u5185\u5728\u53d1\u5c55\u3002DeepSeek-R1-Zero\u901a\u8fc7\u5229\u7528\u6269\u5c55\u7684\u6d4b\u8bd5\u65f6\u8ba1\u7b97\uff0c\u81ea\u7136\u5730\u83b7\u5f97\u4e86\u89e3\u51b3\u65e5\u76ca\u590d\u6742\u7684\u63a8\u7406\u4efb\u52a1\u7684\u80fd\u529b\u3002\u8fd9\u79cd\u8ba1\u7b97\u7684\u8303\u56f4\u4ece\u751f\u6210\u6570\u767e\u5230\u6570\u5343\u4e2a\u63a8\u7406\u6807\u8bb0\u4e0d\u7b49\uff0c\u4ece\u800c\u4f7f\u6a21\u578b\u80fd\u591f\u66f4\u6df1\u5165\u5730\u63a2\u7d22\u548c\u5b8c\u5584\u5176\u601d\u7ef4\u8fc7\u7a0b\u3002<\/p>\n<p>\u8fd9\u79cd\u81ea\u6211\u6f14\u5316\u6700\u663e\u8457\u7684\u65b9\u9762\u4e4b\u4e00\u662f\u968f\u7740\u6d4b\u8bd5\u65f6\u8ba1\u7b97\u7684\u589e\u52a0\uff0c\u590d\u6742\u7684\u884c\u4e3a\u7684\u51fa\u73b0\u3002\u53cd\u601d\u2014\u2014\u5373\u6a21\u578b\u91cd\u65b0\u8bbf\u95ee\u5e76\u91cd\u65b0\u8bc4\u4f30\u5176\u5148\u524d\u7684\u6b65\u9aa4\u2014\u2014\u4ee5\u53ca\u5bf9\u66ff\u4ee3\u95ee\u9898\u89e3\u51b3\u65b9\u6cd5\u7684\u63a2\u7d22\u2014\u2014\u4f1a\u81ea\u53d1\u51fa\u73b0\u3002\u8fd9\u4e9b\u884c\u4e3a\u4e0d\u662f\u663e\u5f0f\u7f16\u7a0b\u7684\uff0c\u800c\u662f\u4f5c\u4e3a\u6a21\u578b\u4e0e\u5f3a\u5316\u5b66\u4e60\u73af\u5883\u4ea4\u4e92\u7684\u7ed3\u679c\u800c\u51fa\u73b0\u7684\u3002\u8fd9\u79cd\u81ea\u53d1\u53d1\u5c55\u663e\u8457\u589e\u5f3a\u4e86DeepSeek-R1-Zero\u7684\u63a8\u7406\u80fd\u529b\uff0c\u4f7f\u5176\u80fd\u591f\u4ee5\u66f4\u9ad8\u7684\u6548\u7387\u548c\u51c6\u786e\u6027\u5904\u7406\u66f4\u5177\u6311\u6218\u6027\u7684\u4efb\u52a1\u3002<\/p>\n<div id=\"attachment_19040\" style=\"width: 841px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-19040\" class=\"wp-image-19040 size-full\" title=\"DeepSeek-R1\uff1a\u901a\u8fc7\u5f3a\u5316\u5b66\u4e60\u6fc0\u52b1LLM\u7684\u63a8\u7406\u80fd\u529b-1\" src=\"https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2025\/01\/b06a9a206c3c6e6.png\" alt=\"DeepSeek-R1\uff1a\u901a\u8fc7\u5f3a\u5316\u5b66\u4e60\u6fc0\u52b1LLM\u7684\u63a8\u7406\u80fd\u529b-1\" width=\"831\" height=\"505\" srcset=\"https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2025\/01\/b06a9a206c3c6e6.png 831w, https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2025\/01\/b06a9a206c3c6e6-300x182.png 300w, https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2025\/01\/b06a9a206c3c6e6-768x467.png 768w, https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2025\/01\/b06a9a206c3c6e6-18x12.png 18w\" sizes=\"auto, (max-width: 831px) 100vw, 831px\" \/><p id=\"caption-attachment-19040\" class=\"wp-caption-text\">\u56fe3 | DeepSeek-R1-Zero\u5728RL\u8fc7\u7a0b\u8bad\u7ec3\u96c6\u4e0a\u7684\u5e73\u5747\u54cd\u5e94\u957f\u5ea6\u3002DeepSeek-R1-Zero\u81ea\u7136\u5730\u5b66\u4e60\u901a\u8fc7\u66f4\u591a\u7684\u601d\u8003\u65f6\u95f4\u6765\u89e3\u51b3\u63a8\u7406\u4efb\u52a1\u3002<\/p><\/div>\n<p>&nbsp;<\/p>\n<p>DeepSeek-R1-Zero\u7684\u987f\u609f\u65f6\u523b\u00a0\u5728DeepSeek-R1-Zero\u7684\u8bad\u7ec3\u8fc7\u7a0b\u4e2d\u89c2\u5bdf\u5230\u7684\u4e00\u4e2a\u7279\u522b\u6709\u8da3\u7684\u73b0\u8c61\u662f\u201c\u987f\u609f\u65f6\u523b\u201d\u7684\u53d1\u751f\u3002\u5982\u88683\u6240\u793a\uff0c\u8fd9\u4e00\u65f6\u523b\u53d1\u751f\u5728\u6a21\u578b\u7684\u4e2d\u95f4\u7248\u672c\u4e2d\u3002\u5728\u6b64\u9636\u6bb5\uff0cDeepSeek-R1-Zero\u901a\u8fc7\u91cd\u65b0\u8bc4\u4f30\u5176\u521d\u59cb\u65b9\u6cd5\uff0c\u5b66\u4e60\u5c06\u66f4\u591a\u601d\u8003\u65f6\u95f4\u5206\u914d\u7ed9\u95ee\u9898\u3002\u8fd9\u79cd\u884c\u4e3a\u4e0d\u4ec5\u8bc1\u660e\u4e86\u6a21\u578b\u4e0d\u65ad\u589e\u957f\u7684\u63a8\u7406\u80fd\u529b\uff0c\u800c\u4e14\u4e5f\u662f\u5f3a\u5316\u5b66\u4e60\u5982\u4f55\u80fd\u591f\u5e26\u6765\u610f\u60f3\u4e0d\u5230\u548c\u590d\u6742\u7ed3\u679c\u7684\u5f15\u4eba\u5165\u80dc\u7684\u4f8b\u5b50\u3002<\/p>\n<div id=\"attachment_19041\" style=\"width: 1005px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-19041\" class=\"wp-image-19041 size-full\" title=\"DeepSeek-R1\uff1a\u901a\u8fc7\u5f3a\u5316\u5b66\u4e60\u6fc0\u52b1LLM\u7684\u63a8\u7406\u80fd\u529b-1\" src=\"https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2025\/01\/a039582a4e6cd65.png\" alt=\"DeepSeek-R1\uff1a\u901a\u8fc7\u5f3a\u5316\u5b66\u4e60\u6fc0\u52b1LLM\u7684\u63a8\u7406\u80fd\u529b-1\" width=\"995\" height=\"579\" srcset=\"https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2025\/01\/a039582a4e6cd65.png 995w, https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2025\/01\/a039582a4e6cd65-300x175.png 300w, https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2025\/01\/a039582a4e6cd65-768x447.png 768w, https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2025\/01\/a039582a4e6cd65-18x10.png 18w\" sizes=\"auto, (max-width: 995px) 100vw, 995px\" \/><p id=\"caption-attachment-19041\" class=\"wp-caption-text\">\u88683 | DeepSeek-R1-Zero\u7684\u4e2d\u95f4\u7248\u672c\u7684\u4e00\u4e2a\u6709\u8da3\u7684\u201c\u987f\u609f\u65f6\u523b\u201d\u3002\u6a21\u578b\u5b66\u4e60\u4f7f\u7528\u62df\u4eba\u5316\u7684\u8bed\u6c14\u6765\u91cd\u65b0\u601d\u8003\u3002\u8fd9\u4e5f\u662f\u6211\u4eec\u81ea\u5df1\u7684\u987f\u609f\u65f6\u523b\uff0c\u8ba9\u6211\u4eec\u89c1\u8bc1\u4e86\u5f3a\u5316\u5b66\u4e60\u7684\u529b\u91cf\u548c\u7f8e\u611f\u3002<\/p><\/div>\n<p>&nbsp;<\/p>\n<p>\u8fd9\u4e2a\u65f6\u523b\u4e0d\u4ec5\u662f\u6a21\u578b\u7684\u4e00\u4e2a\u201c\u987f\u609f\u65f6\u523b\u201d\uff0c\u4e5f\u662f\u89c2\u5bdf\u5176\u884c\u4e3a\u7684\u7814\u7a76\u4eba\u5458\u7684\u4e00\u4e2a\u987f\u609f\u65f6\u523b\u3002\u5b83\u5f3a\u8c03\u4e86\u5f3a\u5316\u5b66\u4e60\u7684\u529b\u91cf\u548c\u7f8e\u611f\uff1a\u6211\u4eec\u4e0d\u662f\u660e\u786e\u5730\u6559\u6a21\u578b\u5982\u4f55\u89e3\u51b3\u95ee\u9898\uff0c\u800c\u662f\u7b80\u5355\u5730\u4e3a\u5176\u63d0\u4f9b\u6b63\u786e\u7684\u6fc0\u52b1\uff0c\u5b83\u5c31\u4f1a\u81ea\u4e3b\u5730\u5f00\u53d1\u51fa\u5148\u8fdb\u7684\u95ee\u9898\u89e3\u51b3\u7b56\u7565\u3002\u201c\u987f\u609f\u65f6\u523b\u201d\u6709\u529b\u5730\u63d0\u9192\u6211\u4eecRL\u5728\u89e3\u9501\u4eba\u5de5\u667a\u80fd\u7cfb\u7edf\u7684\u65b0\u6c34\u5e73\u667a\u80fd\u65b9\u9762\u7684\u6f5c\u529b\uff0c\u4e3a\u672a\u6765\u66f4\u81ea\u4e3b\u548c\u81ea\u9002\u5e94\u7684\u6a21\u578b\u94fa\u5e73\u4e86\u9053\u8def\u3002<\/p>\n<p>DeepSeek-R1-Zero\u7684\u7f3a\u70b9\u00a0\u867d\u7136DeepSeek-R1-Zero\u8868\u73b0\u51fa\u5f3a\u5927\u7684\u63a8\u7406\u80fd\u529b\u5e76\u81ea\u4e3b\u5f00\u53d1\u51fa\u610f\u60f3\u4e0d\u5230\u4e14\u5f3a\u5927\u7684\u63a8\u7406\u884c\u4e3a\uff0c\u4f46\u5b83\u4e5f\u9762\u4e34\u7740\u4e00\u4e9b\u95ee\u9898\u3002\u4f8b\u5982\uff0cDeepSeek-R1-Zero\u5728\u53ef\u8bfb\u6027\u5dee\u548c\u8bed\u8a00\u6df7\u5408\u7b49\u65b9\u9762\u5b58\u5728\u56f0\u96be\u3002\u4e3a\u4e86\u4f7f\u63a8\u7406\u8fc7\u7a0b\u66f4\u5177\u53ef\u8bfb\u6027\u5e76\u4e0e\u5f00\u653e\u793e\u533a\u5171\u4eab\uff0c\u6211\u4eec\u63a2\u7d22\u4e86DeepSeek-R1\uff0c\u8fd9\u662f\u4e00\u79cd\u5229\u7528\u5177\u6709\u4eba\u7c7b\u53cb\u597d\u51b7\u542f\u52a8\u6570\u636e\u7684RL\u7684\u65b9\u6cd5\u3002<\/p>\n<h4>2.3 DeepSeek-R1\uff1a\u5e26\u6709\u51b7\u542f\u52a8\u7684\u5f3a\u5316\u5b66\u4e60<\/h4>\n<p>\u53d7\u5230DeepSeek-R1-Zero\u7684\u826f\u597d\u7ed3\u679c\u7684\u542f\u53d1\uff0c\u51fa\u73b0\u4e86\u4e24\u4e2a\u81ea\u7136\u7684\u95ee\u9898\uff1a1) \u901a\u8fc7\u7ed3\u5408\u5c11\u91cf\u9ad8\u8d28\u91cf\u6570\u636e\u4f5c\u4e3a\u51b7\u542f\u52a8\uff0c\u63a8\u7406\u6027\u80fd\u80fd\u5426\u5f97\u5230\u8fdb\u4e00\u6b65\u63d0\u9ad8\u6216\u52a0\u901f\u6536\u655b\uff1f2) 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special_token | &lt;\u63a8\u7406\u8fc7\u7a0b&gt; | special_token | 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\u5728\u56de\u7b54\u95ee\u9898\u4e4b\u524d\u901a\u8fc7\u63d0\u793a\u6765\u751f\u6210\u6f5c\u5728\u7684\u601d\u7ef4\u94fe\u3002\u4f46\u662f\uff0c\u5bf9\u4e8e\u7b80\u5355\u7684\u67e5\u8be2\uff08\u4f8b\u5982\u201chello\u201d\uff09\uff0c\u6211\u4eec\u5728\u54cd\u5e94\u4e2d\u4e0d\u63d0\u4f9bCoT\u3002\u6700\u540e\uff0c\u6211\u4eec\u603b\u5171\u6536\u96c6\u4e86\u5927\u7ea620\u4e07\u4e2a\u4e0e\u63a8\u7406\u65e0\u5173\u7684\u8bad\u7ec3\u6837\u672c\u3002<\/p>\n<p>\u6211\u4eec\u4f7f\u7528\u4e0a\u8ff0\u7ea680\u4e07\u4e2a\u6837\u672c\u7684\u7b56\u5212\u6570\u636e\u96c6\u5bf9DeepSeek-V3-Base\u8fdb\u884c\u4e86\u4e24\u4e2a\u65f6\u671f\u7684\u5fae\u8c03\u3002<\/p>\n<p>\u4e3a\u4e86\u8fdb\u4e00\u6b65\u4f7f\u6a21\u578b\u4e0e\u4eba\u7c7b\u504f\u597d\u4fdd\u6301\u4e00\u81f4\uff0c\u6211\u4eec\u5b9e\u65bd\u4e86\u7b2c\u4e8c\u9636\u6bb5\u7684\u5f3a\u5316\u5b66\u4e60\uff0c\u65e8\u5728\u63d0\u9ad8\u6a21\u578b\u7684\u6709\u7528\u6027\u548c\u65e0\u5bb3\u6027\uff0c\u540c\u65f6\u4e0d\u65ad\u6539\u8fdb\u5176\u63a8\u7406\u80fd\u529b\u3002\u5177\u4f53\u6765\u8bf4\uff0c\u6211\u4eec\u4f7f\u7528\u5956\u52b1\u4fe1\u53f7\u548c\u5404\u79cd\u63d0\u793a\u5206\u5e03\u7684\u7ec4\u5408\u6765\u8bad\u7ec3\u6a21\u578b\u3002\u5bf9\u4e8e\u63a8\u7406\u6570\u636e\uff0c\u6211\u4eec\u575a\u6301\u4f7f\u7528DeepSeek-R1-Zero\u4e2d\u6982\u8ff0\u7684\u65b9\u6cd5\uff0c\u8be5\u65b9\u6cd5\u5229\u7528\u57fa\u4e8e\u89c4\u5219\u7684\u5956\u52b1\u6765\u6307\u5bfc\u6570\u5b66\u3001\u4ee3\u7801\u548c\u903b\u8f91\u63a8\u7406\u9886\u57df\u4e2d\u7684\u5b66\u4e60\u8fc7\u7a0b\u3002\u5bf9\u4e8e\u4e00\u822c\u6570\u636e\uff0c\u6211\u4eec\u4f9d\u8d56\u5956\u52b1\u6a21\u578b\u6765\u6355\u6349\u590d\u6742\u548c\u7ec6\u81f4\u573a\u666f\u4e2d\u7684\u4eba\u7c7b\u504f\u597d\u3002\u6211\u4eec\u4ee5DeepSeek-V3\u6d41\u7a0b\u4e3a\u57fa\u7840\uff0c\u5e76\u91c7\u7528\u76f8\u4f3c\u7684\u504f\u597d\u5bf9\u548c\u8bad\u7ec3\u63d0\u793a\u5206\u5e03\u3002\u4e3a\u4e86\u63d0\u4f9b\u5e2e\u52a9\uff0c\u6211\u4eec\u4e13\u95e8\u5173\u6ce8\u6700\u7ec8\u6458\u8981\uff0c\u786e\u4fdd\u8bc4\u4f30\u5f3a\u8c03\u54cd\u5e94\u5bf9\u7528\u6237\u7684\u5b9e\u7528\u6027\u548c\u76f8\u5173\u6027\uff0c\u540c\u65f6\u6700\u5927\u9650\u5ea6\u5730\u51cf\u5c11\u5bf9\u5e95\u5c42\u63a8\u7406\u8fc7\u7a0b\u7684\u5e72\u6270\u3002\u4e3a\u4e86\u63d0\u4f9b\u65e0\u5bb3\u6027\uff0c\u6211\u4eec\u8bc4\u4f30\u6a21\u578b\u7684\u6574\u4e2a\u54cd\u5e94\uff0c\u5305\u62ec\u63a8\u7406\u8fc7\u7a0b\u548c\u6458\u8981\uff0c\u4ee5\u8bc6\u522b\u548c\u51cf\u8f7b\u5728\u751f\u6210\u8fc7\u7a0b\u4e2d\u53ef\u80fd\u51fa\u73b0\u7684\u4efb\u4f55\u6f5c\u5728\u98ce\u9669\u3001\u504f\u89c1\u6216\u6709\u5bb3\u5185\u5bb9\u3002\u6700\u7ec8\uff0c\u5956\u52b1\u4fe1\u53f7\u548c\u5404\u79cd\u6570\u636e\u5206\u5e03\u7684\u96c6\u6210\u4f7f\u6211\u4eec\u80fd\u591f\u8bad\u7ec3\u51fa\u4e00\u4e2a\u64c5\u957f\u63a8\u7406\u5e76\u540c\u65f6\u4f18\u5148\u8003\u8651\u6709\u7528\u6027\u548c\u65e0\u5bb3\u6027\u7684\u6a21\u578b\u3002<\/p>\n<h4>2.4 \u84b8\u998f\uff1a\u7528\u63a8\u7406\u80fd\u529b\u589e\u5f3a\u5c0f\u578b\u6a21\u578b<\/h4>\n<p>\u4e3a\u4e86\u4f7f\u66f4\u591a\u9ad8\u6548\u7684\u5c0f\u578b\u6a21\u578b\u5177\u6709\u50cfDeepSeek-R1\u4e00\u6837\u7684\u63a8\u7406\u80fd\u529b\uff0c\u6211\u4eec\u4f7f\u7528DeepSeek-R1\u6574\u7406\u768480\u4e07\u4e2a\u6837\u672c\uff08\u5982\u00a72.3.3\u4e2d\u6240\u8be6\u8ff0\uff09\u76f4\u63a5\u5bf9\u8bf8\u5982Qwen (Qwen, 2024b) \u548cLlama (AI@Meta, 2024) \u4e4b\u7c7b\u7684\u5f00\u6e90\u6a21\u578b\u8fdb\u884c\u4e86\u5fae\u8c03\u3002\u6211\u4eec\u7684\u53d1\u73b0\u8868\u660e\uff0c\u8fd9\u79cd\u7b80\u5355\u7684\u84b8\u998f\u65b9\u6cd5\u53ef\u4ee5\u663e\u8457\u589e\u5f3a\u5c0f\u578b\u6a21\u578b\u7684\u63a8\u7406\u80fd\u529b\u3002\u6211\u4eec\u5728\u6b64\u4f7f\u7528\u7684\u57fa\u7840\u6a21\u578b\u662fQwen2.5-Math-1.5B\u3001Qwen2.5-Math-7B\u3001Qwen2.5-14B\u3001Qwen2.5-32B\u3001Llama-3.1-8B\u548cLlama-3.3-70B-Instruct\u3002\u6211\u4eec\u9009\u62e9Llama-3.3\u662f\u56e0\u4e3a\u5176\u63a8\u7406\u80fd\u529b\u7565\u597d\u4e8eLlama-3.1\u3002<\/p>\n<p>\u5bf9\u4e8e\u84b8\u998f\u6a21\u578b\uff0c\u6211\u4eec\u4ec5\u5e94\u7528SFT\uff0c\u4e0d\u5305\u62ecRL\u9636\u6bb5\uff0c\u5c3d\u7ba1\u5408\u5e76RL\u53ef\u4ee5\u663e\u8457\u63d0\u9ad8\u6a21\u578b\u6027\u80fd\u3002\u6211\u4eec\u5728\u6b64\u7684\u4e3b\u8981\u76ee\u6807\u662f\u5c55\u793a\u84b8\u998f\u6280\u672f\u7684\u6709\u6548\u6027\uff0c\u5c06RL\u9636\u6bb5\u7684\u63a2\u7d22\u7559\u7ed9\u66f4\u5e7f\u6cdb\u7684\u7814\u7a76\u793e\u533a\u3002<\/p>\n<p>&nbsp;<\/p>\n<h2 class=\"ng-star-inserted\"><span class=\"ng-star-inserted\">3. \u5b9e\u9a8c<\/span><\/h2>\n<p class=\"ng-star-inserted\"><strong class=\"ng-star-inserted\"><span class=\"ng-star-inserted\">\u57fa\u51c6\u6d4b\u8bd5<\/span><\/strong><span class=\"ng-star-inserted\">\u00a0\u6211\u4eec\u5728 MMLU (Hendrycks et al., 2020), MMLU-Redux (Gema et al., 2024), MMLU-Pro (Wang et al., 2024), C-Eval (Huang et al., 2023), \u548c CMMLU (Li et al., 2023), IFEval (Zhou et al., 2023), FRAMES (Krishna et al., 2024), GPQA Diamond (Rein et al., 2023), SimpleQA (OpenAI, 2024c), C-SimpleQA (He et al., 2024), SWE-Bench Verified (OpenAI, 2024d), Aider\u00b9 , LiveCodeBench (Jain et al., 2024) (2024-08 \u2013 2025-01), Codeforces\u00b2, Chinese National High School Mathematics Olympiad (CNMO 2024)\u00b3, \u548c American Invitational Mathematics Examination 2024 (AIME 2024) (MAA, 2024) \u4e0a\u8bc4\u4f30\u6a21\u578b\u3002\u9664\u4e86\u6807\u51c6\u57fa\u51c6\u6d4b\u8bd5\u4e4b\u5916\uff0c\u6211\u4eec\u8fd8\u4f7f\u7528 LLM \u4f5c\u4e3a\u8bc4\u59d4\u8bc4\u4f30\u6211\u4eec\u6a21\u578b\u5728\u5f00\u653e\u5f0f\u751f\u6210\u4efb\u52a1\u4e0a\u7684\u8868\u73b0\u3002\u5177\u4f53\u6765\u8bf4\uff0c\u6211\u4eec\u9075\u5faa AlpacaEval 2.0 (Dubois et al., 2024) \u548c Arena-Hard (Li et al., 2024) \u7684\u539f\u59cb\u914d\u7f6e\uff0c\u5b83\u4eec\u5229\u7528 GPT-4-Turbo-1106 \u4f5c\u4e3a\u6210\u5bf9\u6bd4\u8f83\u7684\u8bc4\u59d4\u3002\u5728\u8fd9\u91cc\uff0c\u6211\u4eec\u53ea\u5c06\u6700\u7ec8\u6458\u8981\u63d0\u4f9b\u7ed9\u8bc4\u4f30\uff0c\u4ee5\u907f\u514d\u957f\u5ea6\u504f\u5dee\u3002\u5bf9\u4e8e\u84b8\u998f\u6a21\u578b\uff0c\u6211\u4eec\u62a5\u544a\u5728 AIME 2024\u3001MATH-500\u3001GPQA Diamond\u3001Codeforces \u548c LiveCodeBench \u4e0a\u7684\u4ee3\u8868\u6027\u7ed3\u679c\u3002<\/span><\/p>\n<p class=\"ng-star-inserted\"><strong class=\"ng-star-inserted\"><span class=\"ng-star-inserted\">\u8bc4\u4f30\u63d0\u793a<\/span><\/strong><span class=\"ng-star-inserted\">\u00a0\u9075\u5faa DeepSeek-V3 \u4e2d\u7684\u8bbe\u7f6e\uff0c\u6807\u51c6\u57fa\u51c6\u6d4b\u8bd5\u5982 MMLU\u3001DROP\u3001GPQA Diamond \u548c SimpleQA \u4f7f\u7528\u6765\u81ea simple-evals \u6846\u67b6\u7684\u63d0\u793a\u8fdb\u884c\u8bc4\u4f30\u3002\u5bf9\u4e8e MMLU-Redux\uff0c\u6211\u4eec\u5728\u96f6\u6837\u672c\u8bbe\u7f6e\u4e2d\u91c7\u7528 Zero-Eval \u63d0\u793a\u683c\u5f0f (Lin, 2024)\u3002\u5c31 MMLU-Pro\u3001C-Eval \u548c CLUE-WSC \u800c\u8a00\uff0c\u7531\u4e8e\u539f\u59cb\u63d0\u793a\u662f\u5c11\u6837\u672c\u7684\uff0c\u6211\u4eec\u7a0d\u5fae\u4fee\u6539\u63d0\u793a\u4e3a\u96f6\u6837\u672c\u8bbe\u7f6e\u3002\u5c11\u6837\u672c\u4e2d\u7684 CoT \u53ef\u80fd\u4f1a\u635f\u5bb3 DeepSeek-R1 \u7684\u6027\u80fd\u3002\u5176\u4ed6\u6570\u636e\u96c6\u9075\u5faa\u5176\u521b\u5efa\u8005\u63d0\u4f9b\u7684\u5e26\u6709\u9ed8\u8ba4\u63d0\u793a\u7684\u539f\u59cb\u8bc4\u4f30\u534f\u8bae\u3002\u5bf9\u4e8e\u4ee3\u7801\u548c\u6570\u5b66\u57fa\u51c6\u6d4b\u8bd5\uff0cHumanEval-Mul \u6570\u636e\u96c6\u6db5\u76d6\u516b\u79cd\u4e3b\u6d41\u7f16\u7a0b\u8bed\u8a00\uff08Python\u3001Java\u3001C++\u3001C#\u3001JavaScript\u3001TypeScript\u3001PHP \u548c Bash\uff09\u3002\u4f7f\u7528 CoT \u683c\u5f0f\u8bc4\u4f30 LiveCodeBench \u4e0a\u7684\u6a21\u578b\u6027\u80fd\uff0c\u6570\u636e\u6536\u96c6\u4e8e 2024 \u5e74 8 \u6708\u81f3 2025 \u5e74 1 \u6708\u4e4b\u95f4\u3002\u4f7f\u7528\u6765\u81ea 10 \u4e2a Div.2 \u7ade\u8d5b\u7684\u95ee\u9898\u4ee5\u53ca\u4e13\u5bb6\u5236\u4f5c\u7684\u6d4b\u8bd5\u7528\u4f8b\u8bc4\u4f30 Codeforces \u6570\u636e\u96c6\uff0c\u7136\u540e\u8ba1\u7b97\u7ade\u4e89\u5bf9\u624b\u7684\u9884\u671f\u8bc4\u7ea7\u548c\u767e\u5206\u6bd4\u3002\u901a\u8fc7\u65e0\u4ee3\u7406\u6846\u67b6 (Xia et al., 2024) \u83b7\u53d6 SWE-Bench \u9a8c\u8bc1\u7684\u7ed3\u679c\u3002\u4f7f\u7528 \u201cdiff\u201d \u683c\u5f0f\u6d4b\u91cf AIDER \u76f8\u5173\u57fa\u51c6\u6d4b\u8bd5\u3002DeepSeek-R1 \u8f93\u51fa\u7684\u4e0a\u9650\u4e3a\u6bcf\u4e2a\u57fa\u51c6\u6d4b\u8bd5 32,768 \u4e2a token\u3002<\/span><\/p>\n<p class=\"ng-star-inserted\"><strong class=\"ng-star-inserted\"><span class=\"ng-star-inserted\">\u57fa\u7ebf<\/span><\/strong><span class=\"ng-star-inserted\">\u00a0\u6211\u4eec\u9488\u5bf9\u51e0\u4e2a\u5f3a\u5927\u7684\u57fa\u7ebf\u8fdb\u884c\u4e86\u5168\u9762\u7684\u8bc4\u4f30\uff0c\u5305\u62ec DeepSeek-V3\u3001Claude-Sonnet-3.5-1022\u3001GPT-40-0513\u3001OpenAI-01-mini \u548c OpenAI-01-1217\u3002\u7531\u4e8e\u5728\u4e2d\u56fd\u5927\u9646\u8bbf\u95ee OpenAI-01-1217 API \u5177\u6709\u6311\u6218\u6027\uff0c\u6211\u4eec\u57fa\u4e8e\u5b98\u65b9\u62a5\u544a\u62a5\u544a\u5176\u6027\u80fd\u3002\u5bf9\u4e8e\u84b8\u998f\u6a21\u578b\uff0c\u6211\u4eec\u8fd8\u6bd4\u8f83\u4e86\u5f00\u6e90\u6a21\u578b QwQ-32B-Preview (Qwen, 2024a)\u3002<\/span><\/p>\n<p class=\"ng-star-inserted\"><strong class=\"ng-star-inserted\"><span class=\"ng-star-inserted\">\u751f\u6210\u8bbe\u7f6e<\/span><\/strong><span class=\"ng-star-inserted\">\u00a0\u5bf9\u4e8e\u6211\u4eec\u6240\u6709\u6a21\u578b\uff0c\u6700\u5927\u751f\u6210\u957f\u5ea6\u8bbe\u7f6e\u4e3a 32,768 \u4e2a token\u3002\u5bf9\u4e8e\u9700\u8981\u91c7\u6837\u7684\u57fa\u51c6\u6d4b\u8bd5\uff0c\u6211\u4eec\u4f7f\u7528 0.6 \u7684\u6e29\u5ea6\uff0c0.95 \u7684 top-p \u503c\uff0c\u5e76\u4e3a\u6bcf\u4e2a\u67e5\u8be2\u751f\u6210 64 \u4e2a\u54cd\u5e94\u4ee5\u4f30\u8ba1 pass@1\u3002<\/span><\/p>\n<h4 class=\"ng-star-inserted\"><span class=\"ng-star-inserted\">3.1 DeepSeek-R1 \u8bc4\u4f30<\/span><\/h4>\n<p class=\"ng-star-inserted\"><span class=\"ng-star-inserted\">\u5bf9\u4e8e\u9762\u5411\u6559\u80b2\u7684\u77e5\u8bc6\u57fa\u51c6\u6d4b\u8bd5\uff08\u5982 MMLU\u3001MMLU-Pro \u548c GPQA Diamond\uff09\uff0cDeepSeek-R1 \u5c55\u793a\u4e86\u6bd4 DeepSeek-V3 \u66f4\u4f18\u5f02\u7684\u6027\u80fd\u3002 \u8fd9\u79cd\u6539\u8fdb\u4e3b\u8981\u5f52\u56e0\u4e8e STEM \u76f8\u5173\u95ee\u9898\u4e2d\u51c6\u786e\u6027\u7684\u63d0\u9ad8\uff0c\u5176\u4e2d\u901a\u8fc7\u5927\u89c4\u6a21\u5f3a\u5316\u5b66\u4e60 (RL) \u53d6\u5f97\u4e86\u663e\u8457\u7684\u6536\u76ca\u3002\u6b64\u5916\uff0cDeepSeek-R1 \u5728 FRAMES\uff08\u4e00\u9879\u957f\u4e0a\u4e0b\u6587\u4f9d\u8d56\u7684 QA \u4efb\u52a1\uff09\u4e0a\u8868\u73b0\u51fa\u8272\uff0c\u5c55\u793a\u4e86\u5176\u5f3a\u5927\u7684\u6587\u6863\u5206\u6790\u80fd\u529b\u3002 \u8fd9\u51f8\u663e\u4e86\u63a8\u7406\u6a21\u578b\u5728 AI \u9a71\u52a8\u7684\u641c\u7d22\u548c\u6570\u636e\u5206\u6790\u4efb\u52a1\u4e2d\u7684\u6f5c\u529b\u3002 \u5728\u4e8b\u5b9e\u6027\u57fa\u51c6 SimpleQA \u4e0a\uff0cDeepSeek-R1 \u7684\u6027\u80fd\u4f18\u4e8e DeepSeek-V3\uff0c\u5c55\u793a\u4e86\u5176\u5904\u7406\u57fa\u4e8e\u4e8b\u5b9e\u7684\u67e5\u8be2\u7684\u80fd\u529b\u3002 \u5728 OpenAI-01 \u5728\u6b64\u57fa\u51c6\u6d4b\u8bd5\u4e2d\u8d85\u8d8a GPT-40 \u65f6\uff0c\u89c2\u5bdf\u5230\u4e86\u7c7b\u4f3c\u7684\u8d8b\u52bf\u3002 \u7136\u800c\uff0cDeepSeek-R1 \u5728\u4e2d\u6587 SimpleQA \u57fa\u51c6\u6d4b\u8bd5\u4e0a\u7684\u8868\u73b0\u4e0d\u5982 DeepSeek-V3\uff0c\u8fd9\u4e3b\u8981\u662f\u7531\u4e8e\u5176\u5728\u5b89\u5168 RL \u4e4b\u540e\u503e\u5411\u4e8e\u62d2\u7edd\u56de\u7b54\u67d0\u4e9b\u67e5\u8be2\u3002 \u5728\u6ca1\u6709\u5b89\u5168 RL \u7684\u60c5\u51b5\u4e0b\uff0cDeepSeek-R1 \u53ef\u4ee5\u5b9e\u73b0 70% \u4ee5\u4e0a\u7684\u51c6\u786e\u7387\u3002<\/span><\/p>\n<div id=\"attachment_19042\" style=\"width: 757px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-19042\" class=\"wp-image-19042 size-full\" title=\"DeepSeek-R1\uff1a\u901a\u8fc7\u5f3a\u5316\u5b66\u4e60\u6fc0\u52b1LLM\u7684\u63a8\u7406\u80fd\u529b-1\" src=\"https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2025\/01\/8d11fdb9ef15d9e.png\" alt=\"DeepSeek-R1\uff1a\u901a\u8fc7\u5f3a\u5316\u5b66\u4e60\u6fc0\u52b1LLM\u7684\u63a8\u7406\u80fd\u529b-1\" width=\"747\" height=\"605\" srcset=\"https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2025\/01\/8d11fdb9ef15d9e.png 747w, https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2025\/01\/8d11fdb9ef15d9e-300x243.png 300w, https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2025\/01\/8d11fdb9ef15d9e-15x12.png 15w\" sizes=\"auto, (max-width: 747px) 100vw, 747px\" \/><p id=\"caption-attachment-19042\" class=\"wp-caption-text\">\u88684 | DeepSeek-R1\u548c\u5176\u4ed6\u4ee3\u8868\u6027\u6a21\u578b\u7684\u6bd4\u8f83\u3002<\/p><\/div>\n<p class=\"ng-star-inserted\"><span class=\"ng-star-inserted\">DeepSeek-R1 \u5728 IF-Eval \u4e0a\u4e5f\u53d6\u5f97\u4e86\u4ee4\u4eba\u5370\u8c61\u6df1\u523b\u7684\u7ed3\u679c\uff0cIF-Eval \u662f\u4e00\u79cd\u65e8\u5728\u8bc4\u4f30\u6a21\u578b\u9075\u5faa\u683c\u5f0f\u6307\u4ee4\u80fd\u529b\u7684\u57fa\u51c6\u6d4b\u8bd5\u3002 \u8fd9\u4e9b\u6539\u8fdb\u53ef\u80fd\u4e0e\u76d1\u7763\u5fae\u8c03 (SFT) \u548c RL \u8bad\u7ec3\u7684\u6700\u540e\u9636\u6bb5\u4e2d\u5305\u542b\u7684\u6307\u4ee4\u9075\u5faa\u6570\u636e\u6709\u5173\u3002 \u6b64\u5916\uff0c\u5728 AlpacaEval2.0 \u548c ArenaHard \u4e0a\u89c2\u5bdf\u5230\u4e86\u5353\u8d8a\u7684\u6027\u80fd\uff0c\u8868\u660e DeepSeek-R1 \u5728\u5199\u4f5c\u4efb\u52a1\u548c\u5f00\u653e\u9886\u57df\u7684\u95ee\u9898\u56de\u7b54\u65b9\u9762\u5177\u6709\u4f18\u52bf\u3002\u5176\u663e\u8457\u4f18\u4e8e DeepSeek-V3 \u7684\u6027\u80fd\u7a81\u663e\u4e86\u5927\u89c4\u6a21 RL \u7684\u6cdb\u5316\u4f18\u52bf\uff0c\u8fd9\u4e0d\u4ec5\u63d0\u9ad8\u4e86\u63a8\u7406\u80fd\u529b\uff0c\u800c\u4e14\u8fd8\u63d0\u9ad8\u4e86\u8de8\u591a\u4e2a\u9886\u57df\u7684\u6027\u80fd\u3002 \u6b64\u5916\uff0cDeepSeek-R1 \u751f\u6210\u7684\u6458\u8981\u957f\u5ea6\u7b80\u6d01\uff0cArenaHard \u4e0a\u7684\u5e73\u5747 <a href=\"https:\/\/www.kdjingpai.com\/en\/tokenization\/\">token<\/a> \u4e3a 689 \u4e2a\uff0cAlpacaEval 2.0 \u4e0a\u7684\u5e73\u5747\u5b57\u7b26\u4e3a 2,218 \u4e2a\u3002 \u8fd9\u8868\u660e DeepSeek-R1 \u5728\u57fa\u4e8e GPT \u7684\u8bc4\u4f30\u671f\u95f4\u907f\u514d\u5f15\u5165\u957f\u5ea6\u504f\u5dee\uff0c\u4ece\u800c\u8fdb\u4e00\u6b65\u5de9\u56fa\u4e86\u5176\u5728\u591a\u9879\u4efb\u52a1\u4e2d\u7684\u7a33\u5065\u6027\u3002<\/span><\/p>\n<p class=\"ng-star-inserted\"><span class=\"ng-star-inserted\">\u5728\u6570\u5b66\u4efb\u52a1\u65b9\u9762\uff0cDeepSeek-R1 \u7684\u6027\u80fd\u4e0e OpenAI-01-1217 \u7684\u6027\u80fd\u76f8\u5f53\uff0c\u5927\u5e45\u8d85\u8d8a\u5176\u4ed6\u6a21\u578b\u3002 \u5728\u8bf8\u5982 LiveCodeBench \u548c Codeforces \u7b49\u7f16\u7801\u7b97\u6cd5\u4efb\u52a1\u4e2d\u89c2\u5bdf\u5230\u4e86\u7c7b\u4f3c\u7684\u8d8b\u52bf\uff0c\u5176\u4e2d\u4ee5\u63a8\u7406\u4e3a\u4e2d\u5fc3\u7684\u6a21\u578b\u5728\u8fd9\u4e9b\u57fa\u51c6\u6d4b\u8bd5\u4e2d\u5360\u4e3b\u5bfc\u5730\u4f4d\u3002 \u5728\u9762\u5411\u5de5\u7a0b\u7684\u7f16\u7801\u4efb\u52a1\u65b9\u9762\uff0cOpenAI-01-1217 \u5728 Aider \u4e0a\u7684\u6027\u80fd\u4f18\u4e8e DeepSeek-R1\uff0c\u4f46\u5728 SWE Verified \u4e0a\u5b9e\u73b0\u4e86\u76f8\u5f53\u7684\u6027\u80fd\u3002 \u6211\u4eec\u76f8\u4fe1\uff0c\u5de5\u7a0b\u4efb\u52a1\u65b9\u9762 DeepSeek-R1 \u7684\u6027\u80fd\u5c06\u5728\u4e0b\u4e00\u7248\u672c\u4e2d\u5f97\u5230\u63d0\u9ad8\uff0c\u56e0\u4e3a\u76f8\u5173 RL \u8bad\u7ec3\u6570\u636e\u7684\u91cf\u76ee\u524d\u4ecd\u7136\u975e\u5e38\u6709\u9650\u3002<\/span><\/p>\n<h4 class=\"ng-star-inserted\"><span class=\"ng-star-inserted\">3.2 \u84b8\u998f\u6a21\u578b\u8bc4\u4f30<\/span><\/h4>\n<div id=\"attachment_19043\" style=\"width: 844px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-19043\" class=\"wp-image-19043 size-full\" title=\"DeepSeek-R1\uff1a\u901a\u8fc7\u5f3a\u5316\u5b66\u4e60\u6fc0\u52b1LLM\u7684\u63a8\u7406\u80fd\u529b-1\" src=\"https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2025\/01\/ad78efb126e51a7.png\" alt=\"DeepSeek-R1\uff1a\u901a\u8fc7\u5f3a\u5316\u5b66\u4e60\u6fc0\u52b1LLM\u7684\u63a8\u7406\u80fd\u529b-1\" width=\"834\" height=\"328\" srcset=\"https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2025\/01\/ad78efb126e51a7.png 834w, https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2025\/01\/ad78efb126e51a7-300x118.png 300w, https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2025\/01\/ad78efb126e51a7-768x302.png 768w, https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2025\/01\/ad78efb126e51a7-18x7.png 18w\" sizes=\"auto, (max-width: 834px) 100vw, 834px\" \/><p id=\"caption-attachment-19043\" class=\"wp-caption-text\">\u8868 5 | DeepSeek-R1 \u84b8\u998f\u6a21\u578b\u548c\u5176\u4ed6\u5728\u63a8\u7406\u76f8\u5173\u57fa\u51c6\u6d4b\u8bd5\u4e0a\u53ef\u6bd4\u8f83\u7684\u6a21\u578b\u7684\u6bd4\u8f83\u3002<\/p><\/div>\n<p class=\"ng-star-inserted\"><span class=\"ng-star-inserted\">\u5982\u8868 5 \u6240\u793a\uff0c\u7b80\u5355\u5730\u84b8\u998f DeepSeek-R1 \u7684\u8f93\u51fa\u4f7f\u5f97\u9ad8\u6548\u7684 DeepSeek-R1-7B\uff08\u5373 DeepSeek-R1-Distill-Qwen-7B\uff0c\u4ee5\u4e0b\u7b80\u79f0\u6b64\u540d\u79f0\uff09\u80fd\u591f\u5728\u5404\u4e2a\u65b9\u9762\u90fd\u8d85\u8d8a GPT-40-0513 \u7b49\u975e\u63a8\u7406\u6a21\u578b\u3002 DeepSeek-R1-14B \u5728\u6240\u6709\u8bc4\u4f30\u6307\u6807\u4e0a\u90fd\u8d85\u8d8a\u4e86 QwQ-32B-Preview\uff0c\u800c DeepSeek-R1-32B \u548c DeepSeek-R1-70B \u5728\u5927\u591a\u6570\u57fa\u51c6\u6d4b\u8bd5\u4e2d\u90fd\u663e\u8457\u4f18\u4e8e o1-mini\u3002 \u8fd9\u4e9b\u7ed3\u679c\u8bc1\u660e\u4e86\u84b8\u998f\u7684\u5f3a\u5927\u6f5c\u529b\u3002 \u6b64\u5916\uff0c\u6211\u4eec\u53d1\u73b0\u5c06 RL \u5e94\u7528\u4e8e\u8fd9\u4e9b\u84b8\u998f\u6a21\u578b\u4f1a\u5e26\u6765\u663e\u8457\u7684\u8fdb\u4e00\u6b65\u6536\u76ca\u3002 \u6211\u4eec\u8ba4\u4e3a\u8fd9\u503c\u5f97\u8fdb\u4e00\u6b65\u63a2\u7d22\uff0c\u56e0\u6b64\u6b64\u5904\u4ec5\u5448\u73b0\u7b80\u5355 SFT \u84b8\u998f\u6a21\u578b\u7684\u7ed3\u679c\u3002<\/span><\/p>\n<p>&nbsp;<\/p>\n<h2>4. \u8ba8\u8bba<\/h2>\n<h4>4.1 \u84b8\u998f vs. \u5f3a\u5316\u5b66\u4e60<\/h4>\n<div id=\"attachment_19044\" style=\"width: 849px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-19044\" class=\"wp-image-19044 size-full\" title=\"DeepSeek-R1\uff1a\u901a\u8fc7\u5f3a\u5316\u5b66\u4e60\u6fc0\u52b1LLM\u7684\u63a8\u7406\u80fd\u529b-1\" src=\"https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2025\/01\/9f47be71f361219.png\" alt=\"DeepSeek-R1\uff1a\u901a\u8fc7\u5f3a\u5316\u5b66\u4e60\u6fc0\u52b1LLM\u7684\u63a8\u7406\u80fd\u529b-1\" width=\"839\" height=\"149\" srcset=\"https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2025\/01\/9f47be71f361219.png 839w, https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2025\/01\/9f47be71f361219-300x53.png 300w, https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2025\/01\/9f47be71f361219-768x136.png 768w, https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2025\/01\/9f47be71f361219-18x3.png 18w\" sizes=\"auto, (max-width: 839px) 100vw, 839px\" \/><p id=\"caption-attachment-19044\" class=\"wp-caption-text\">\u88686 | \u84b8\u998f\u6a21\u578b\u548c\u63a8\u7406\u76f8\u5173\u57fa\u51c6\u4e0a\u7684RL\u6a21\u578b\u7684\u6bd4\u8f83\u3002<\/p><\/div>\n<p>&nbsp;<\/p>\n<p>\u57283.2\u8282\u4e2d\uff0c\u6211\u4eec\u53ef\u4ee5\u770b\u5230\uff0c\u901a\u8fc7\u84b8\u998fDeepSeek-R1\uff0c\u5c0f\u578b\u6a21\u578b\u53ef\u4ee5\u53d6\u5f97\u4ee4\u4eba\u5370\u8c61\u6df1\u523b\u7684\u7ed3\u679c\u3002\u4f46\u662f\uff0c\u4ecd\u7136\u5b58\u5728\u4e00\u4e2a\u95ee\u9898\uff1a\u6a21\u578b\u662f\u5426\u53ef\u4ee5\u901a\u8fc7\u672c\u6587\u8ba8\u8bba\u7684\u5927\u89c4\u6a21RL\u8bad\u7ec3\uff08\u800c\u65e0\u9700\u84b8\u998f\uff09\u83b7\u5f97\u53ef\u6bd4\u7684\u6027\u80fd\uff1f<\/p>\n<p>\u4e3a\u4e86\u56de\u7b54\u8fd9\u4e2a\u95ee\u9898\uff0c\u6211\u4eec\u4f7f\u7528\u6570\u5b66\u3001\u4ee3\u7801\u548c STEM \u6570\u636e\u5bf9 Qwen-32B-Base \u8fdb\u884c\u4e86\u5927\u89c4\u6a21 RL \u8bad\u7ec3\uff0c\u8bad\u7ec3\u8d85\u8fc7 1 \u4e07\u6b65\uff0c\u6700\u7ec8\u5f97\u5230\u4e86 DeepSeek-R1-Zero-Qwen-32B\u3002 \u5b9e\u9a8c\u7ed3\u679c\uff08\u5982\u56fe 6 \u6240\u793a\uff09\u8868\u660e\uff0c32B \u7684\u57fa\u7840\u6a21\u578b\u5728\u7ecf\u8fc7\u5927\u89c4\u6a21 RL \u8bad\u7ec3\u540e\uff0c\u6027\u80fd\u8fbe\u5230\u4e86\u4e0e QwQ-32B-Preview \u76f8\u5f53\u7684\u6c34\u5e73\u3002 \u7136\u800c\uff0c\u4ece DeepSeek-R1 \u84b8\u998f\u5f97\u5230\u7684 DeepSeek-R1-Distill-Qwen-32B \u5728\u6240\u6709\u57fa\u51c6\u6d4b\u8bd5\u4e2d\u7684\u8868\u73b0\u90fd\u663e\u8457\u4f18\u4e8e DeepSeek-R1-Zero-Qwen-32B\u3002 \u56e0\u6b64\uff0c\u6211\u4eec\u53ef\u4ee5\u5f97\u51fa\u4e24\u4e2a\u7ed3\u8bba\uff1a\u9996\u5148\uff0c\u5c06\u66f4\u5f3a\u5927\u7684\u6a21\u578b\u84b8\u998f\u4e3a\u8f83\u5c0f\u7684\u6a21\u578b\u4f1a\u4ea7\u751f\u51fa\u8272\u7684\u7ed3\u679c\uff0c\u800c\u4f9d\u8d56\u672c\u6587\u4e2d\u63d0\u5230\u7684\u5927\u89c4\u6a21 RL \u7684\u8f83\u5c0f\u6a21\u578b\u5219\u9700\u8981\u5de8\u5927\u7684\u8ba1\u7b97\u80fd\u529b\uff0c\u751a\u81f3\u53ef\u80fd\u65e0\u6cd5\u8fbe\u5230\u84b8\u998f\u7684\u6027\u80fd\u3002 \u5176\u6b21\uff0c\u867d\u7136\u84b8\u998f\u7b56\u7565\u65e2\u7ecf\u6d4e\u53c8\u6709\u6548\uff0c\u4f46\u8981\u8d85\u8d8a\u667a\u80fd\u7684\u8fb9\u754c\u53ef\u80fd\u4ecd\u7136\u9700\u8981\u66f4\u5f3a\u5927\u7684\u57fa\u7840\u6a21\u578b\u548c\u66f4\u5927\u89c4\u6a21\u7684\u5f3a\u5316\u5b66\u4e60\u3002<\/p>\n<h4>4.2 \u5931\u8d25\u7684\u5c1d\u8bd5<\/h4>\n<p>\u5728DeepSeek-R1\u7684\u65e9\u671f\u5f00\u53d1\u9636\u6bb5\uff0c\u6211\u4eec\u4e5f\u9047\u5230\u4e86\u4e00\u4e9b\u5931\u8d25\u548c\u632b\u6298\u3002\u6211\u4eec\u5728\u6b64\u5904\u5206\u4eab\u6211\u4eec\u7684\u5931\u8d25\u7ecf\u5386\u4ee5\u63d0\u4f9b\u89c1\u89e3\uff0c\u4f46\u8fd9\u5e76\u4e0d\u610f\u5473\u7740\u8fd9\u4e9b\u65b9\u6cd5\u65e0\u6cd5\u5f00\u53d1\u6709\u6548\u7684\u63a8\u7406\u6a21\u578b\u3002<\/p>\n<p>\u8fc7\u7a0b\u5956\u52b1\u6a21\u578b\uff08PRM\uff09\u00a0PRM\u662f\u6307\u5bfc\u6a21\u578b\u91c7\u7528\u66f4\u597d\u65b9\u6cd5\u6765\u89e3\u51b3\u63a8\u7406\u4efb\u52a1\u7684\u4e00\u79cd\u5408\u7406\u65b9\u6cd5\uff08Lightman et al., 2023; Uesato et al., 2022; Wang et al., 2023\uff09\u3002\u4f46\u662f\uff0c\u5b9e\u9645\u4e0a\uff0cPRM\u6709\u4e09\u4e2a\u4e3b\u8981\u7684\u5c40\u9650\u6027\u53ef\u80fd\u4f1a\u963b\u788d\u5176\u6700\u7ec8\u6210\u529f\u3002\u9996\u5148\uff0c\u5f88\u96be\u5728\u4e00\u822c\u7684\u63a8\u7406\u4e2d\u660e\u786e\u5b9a\u4e49\u7ec6\u7c92\u5ea6\u7684\u6b65\u9aa4\u3002\u5176\u6b21\uff0c\u786e\u5b9a\u5f53\u524d\u4e2d\u95f4\u6b65\u9aa4\u662f\u5426\u6b63\u786e\u662f\u4e00\u9879\u8270\u5de8\u7684\u4efb\u52a1\u3002\u4f7f\u7528\u6a21\u578b\u8fdb\u884c\u81ea\u52a8\u6ce8\u91ca\u53ef\u80fd\u65e0\u6cd5\u4ea7\u751f\u4ee4\u4eba\u6ee1\u610f\u7684\u7ed3\u679c\uff0c\u800c\u624b\u52a8\u6ce8\u91ca\u4e0d\u5229\u4e8e\u6269\u5c55\u3002\u7b2c\u4e09\uff0c\u4e00\u65e6\u5f15\u5165\u57fa\u4e8e\u6a21\u578b\u7684PRM\uff0c\u5b83\u5c06\u4e0d\u53ef\u907f\u514d\u5730\u5bfc\u81f4\u5956\u52b1\u9ed1\u5ba2\u653b\u51fb\uff08Gao et al., 2022\uff09\uff0c\u5e76\u4e14\u91cd\u65b0\u8bad\u7ec3\u5956\u52b1\u6a21\u578b\u9700\u8981\u989d\u5916\u7684\u8bad\u7ec3\u8d44\u6e90\uff0c\u8fd9\u4f1a\u4f7f\u6574\u4e2a\u8bad\u7ec3\u6d41\u7a0b\u590d\u6742\u5316\u3002\u603b\u4e4b\uff0c\u867d\u7136PRM\u5c55\u793a\u4e86\u91cd\u65b0\u6392\u5e8f\u6a21\u578b\u751f\u6210\u7684top-N\u54cd\u5e94\u6216\u8f85\u52a9\u5f15\u5bfc\u641c\u7d22\u7684\u826f\u597d\u80fd\u529b\uff08Snell et al., 2024\uff09\uff0c\u4f46\u4e0e\u6211\u4eec\u5728\u5b9e\u9a8c\u4e2d\u5927\u89c4\u6a21\u5f3a\u5316\u5b66\u4e60\u8fc7\u7a0b\u4e2d\u5f15\u5165\u7684\u989d\u5916\u8ba1\u7b97\u5f00\u9500\u76f8\u6bd4\uff0c\u5176\u4f18\u52bf\u6709\u9650\u3002<\/p>\n<p>\u8499\u7279\u5361\u6d1b\u6811\u641c\u7d22\uff08MCTS\uff09\u00a0\u53d7AlphaGo\uff08Silver et al., 2017b\uff09\u548cAlphaZero\uff08Silver et al., 2017a\uff09\u7684\u542f\u53d1\uff0c\u6211\u4eec\u63a2\u7d22\u4e86\u4f7f\u7528\u8499\u7279\u5361\u6d1b\u6811\u641c\u7d22\uff08MCTS\uff09\u6765\u589e\u5f3a\u6d4b\u8bd5\u65f6\u8ba1\u7b97\u7684\u53ef\u6269\u5c55\u6027\u3002\u8fd9\u79cd\u65b9\u6cd5\u6d89\u53ca\u5c06\u7b54\u6848\u5206\u89e3\u4e3a\u66f4\u5c0f\u7684\u90e8\u5206\uff0c\u4ee5\u5141\u8bb8\u6a21\u578b\u7cfb\u7edf\u5730\u63a2\u7d22\u89e3\u7a7a\u95f4\u3002\u4e3a\u4e86\u4fc3\u8fdb\u8fd9\u4e00\u70b9\uff0c\u6211\u4eec\u63d0\u793a\u6a21\u578b\u751f\u6210\u591a\u4e2a\u6807\u7b7e\uff0c\u8fd9\u4e9b\u6807\u7b7e\u5bf9\u5e94\u4e8e\u641c\u7d22\u6240\u5fc5\u9700\u7684\u7279\u5b9a\u63a8\u7406\u6b65\u9aa4\u3002\u5bf9\u4e8e\u8bad\u7ec3\uff0c\u6211\u4eec\u9996\u5148\u4f7f\u7528\u6536\u96c6\u7684\u63d0\u793a\uff0c\u901a\u8fc7\u7531\u9884\u8bad\u7ec3\u4ef7\u503c\u6a21\u578b\u6307\u5bfc\u7684MCTS\u6765\u627e\u5230\u7b54\u6848\u3002\u968f\u540e\uff0c\u6211\u4eec\u4f7f\u7528\u751f\u6210\u7684\u95ee\u7b54\u5bf9\u6765\u8bad\u7ec3actor\u6a21\u578b\u548c\u4ef7\u503c\u6a21\u578b\uff0c\u4ece\u800c\u8fed\u4ee3\u5730\u6539\u8fdb\u8be5\u8fc7\u7a0b\u3002<\/p>\n<p>\u7136\u800c\uff0c\u8fd9\u79cd\u65b9\u6cd5\u5728\u6269\u5927\u8bad\u7ec3\u89c4\u6a21\u65f6\u9047\u5230\u4e86\u4e00\u4e9b\u6311\u6218\u3002\u9996\u5148\uff0c\u4e0e\u56fd\u9645\u8c61\u68cb\u641c\u7d22\u7a7a\u95f4\u76f8\u5bf9\u660e\u786e\u7684\u60c5\u51b5\u4e0d\u540c\uff0c\u6807\u8bb0\u751f\u6210\u5448\u73b0\u6307\u6570\u7ea7\u66f4\u5927\u7684\u641c\u7d22\u7a7a\u95f4\u3002\u4e3a\u4e86\u89e3\u51b3\u8fd9\u4e2a\u95ee\u9898\uff0c\u6211\u4eec\u4e3a\u6bcf\u4e2a\u8282\u70b9\u8bbe\u7f6e\u4e86\u6700\u5927\u6269\u5c55\u9650\u5236\uff0c\u4f46\u8fd9\u53ef\u80fd\u4f1a\u5bfc\u81f4\u6a21\u578b\u9677\u5165\u5c40\u90e8\u6700\u4f18\u3002\u5176\u6b21\uff0c\u4ef7\u503c\u6a21\u578b\u76f4\u63a5\u5f71\u54cd\u751f\u6210\u7684\u8d28\u91cf\uff0c\u56e0\u4e3a\u5b83\u6307\u5bfc\u7740\u641c\u7d22\u8fc7\u7a0b\u7684\u6bcf\u4e00\u6b65\u3002\u8bad\u7ec3\u7ec6\u7c92\u5ea6\u7684\u4ef7\u503c\u6a21\u578b\u672c\u8eab\u5c31\u5f88\u56f0\u96be\uff0c\u8fd9\u4f7f\u5f97\u6a21\u578b\u96be\u4ee5\u8fed\u4ee3\u6539\u8fdb\u3002\u867d\u7136AlphaGo\u7684\u6838\u5fc3\u6210\u529f\u4f9d\u8d56\u4e8e\u8bad\u7ec3\u4ef7\u503c\u6a21\u578b\u6765\u9010\u6b65\u63d0\u9ad8\u5176\u6027\u80fd\uff0c\u4f46\u7531\u4e8e\u6807\u8bb0\u751f\u6210\u7684\u590d\u6742\u6027\uff0c\u8be5\u539f\u5219\u5728\u6211\u4eec\u7684\u8bbe\u7f6e\u4e2d\u96be\u4ee5\u590d\u5236\u3002<\/p>\n<p>\u603b\u4e4b\uff0c\u867d\u7136\u5f53\u4e0e\u9884\u8bad\u7ec3\u4ef7\u503c\u6a21\u578b\u914d\u5bf9\u65f6\uff0cMCTS\u53ef\u4ee5\u63d0\u9ad8\u63a8\u7406\u65f6\u7684\u6027\u80fd\uff0c\u4f46\u5728\u81ea\u6211\u641c\u7d22\u8fc7\u7a0b\u4e2d\u8fed\u4ee3\u5730\u63d0\u5347\u6a21\u578b\u6027\u80fd\u4ecd\u7136\u662f\u4e00\u9879\u8270\u5de8\u7684\u6311\u6218\u3002<\/p>\n<p>&nbsp;<\/p>\n<h2>5. 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