{"id":38410,"date":"2025-02-16T00:00:58","date_gmt":"2025-02-15T16:00:58","guid":{"rendered":"https:\/\/17aitech.com\/?p=38410"},"modified":"2025-02-16T00:00:58","modified_gmt":"2025-02-15T16:00:58","slug":"%e4%bb%8e%e6%83%b3%e5%a4%aa%e5%a4%9a%e5%88%b0%e6%83%b3%e4%b8%8d%e9%80%8f%ef%bc%9fdeepseek-r1%e7%ad%89%e9%95%bf%e6%8e%a8%e7%90%86%e6%a8%a1%e5%9e%8b%e4%b9%9f%e5%ad%98%e5%9c%a8%e3%80%8c%e6%80%9d%e8%80%83","status":"publish","type":"post","link":"https:\/\/17aitech.com\/?p=38410","title":{"rendered":"\u4ece\u60f3\u592a\u591a\u5230\u60f3\u4e0d\u900f\uff1fDeepSeek-R1\u7b49\u957f\u63a8\u7406\u6a21\u578b\u4e5f\u5b58\u5728\u300c\u601d\u8003\u4e0d\u8db3\u300d\u95ee\u9898"},"content":{"rendered":"<p>\u6587\u7ae0\u6765\u6e90\u4e8e\u4e92\u8054\u7f51:<a href=\"https:\/\/www.jiqizhixin.com\/articles\/2025-02-15\" target=\"_blank\">\u4ece\u60f3\u592a\u591a\u5230\u60f3\u4e0d\u900f\uff1fDeepSeek-R1\u7b49\u957f\u63a8\u7406\u6a21\u578b\u4e5f\u5b58\u5728\u300c\u601d\u8003\u4e0d\u8db3\u300d\u95ee\u9898<\/a><\/p>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-dc19a0e288ef87f5cce74ace78bc84f6.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-dc19a0e288ef87f5cce74ace78bc84f6.png\"><\/a><\/section>\n<blockquote data-author-name=\"\" data-content-utf8-length=\"166\" data-source-title=\"\" data-type=\"2\" data-url=\"\">\n<section>\n<section>AIxiv\u4e13\u680f\u662f\u673a\u5668\u4e4b\u5fc3\u53d1\u5e03\u5b66\u672f\u3001\u6280\u672f\u5185\u5bb9\u7684\u680f\u76ee\u3002\u8fc7\u53bb\u6570\u5e74\uff0c\u673a\u5668\u4e4b\u5fc3AIxiv\u4e13\u680f\u63a5\u6536\u62a5\u9053\u4e862000\u591a\u7bc7\u5185\u5bb9\uff0c\u8986\u76d6\u5168\u7403\u5404\u5927\u9ad8\u6821\u4e0e\u4f01\u4e1a\u7684\u9876\u7ea7\u5b9e\u9a8c\u5ba4\uff0c\u6709\u6548\u4fc3\u8fdb\u4e86\u5b66\u672f\u4ea4\u6d41\u4e0e\u4f20\u64ad\u3002\u5982\u679c\u60a8\u6709\u4f18\u79c0\u7684\u5de5\u4f5c\u60f3\u8981\u5206\u4eab\uff0c\u6b22\u8fce\u6295\u7a3f\u6216\u8005\u8054\u7cfb\u62a5\u9053\u3002\u6295\u7a3f\u90ae\u7bb1\uff1aliyazhou@jiqizhixin.com\uff1bzhaoyunfeng@jiqizhixin.com<\/section>\n<\/section>\n<\/blockquote>\n<section><\/section>\n<section><strong>\u672c\u6587\u5c06\u4ecb\u7ecd\u9996\u4e2a\u5173\u4e8e\u957f\u63a8\u7406\u6a21\u578b \u201c\u601d\u8003\u4e0d\u8db3\u201d \u73b0\u8c61\u7684\u5de5\u4f5c\u3002\u8be5\u5de5\u4f5c\u7531\u817e\u8baf AI Lab \u4e0e\u82cf\u5dde\u5927\u5b66\u3001\u4e0a\u6d77\u4ea4\u901a\u5927\u5b66\u56e2\u961f\u5171\u540c\u5b8c\u6210\u3002<\/strong><strong>\u672c\u6587\u7684\u901a\u8baf\u4f5c\u8005\u4e3a\u6d82\u5146\u9e4f\uff0c\u817e\u8baf\u4e13\u5bb6\u7814\u7a76\u5458\uff0c\u7814\u7a76\u65b9\u5411\u4e3a\u6df1\u5ea6\u5b66\u4e60\u548c\u5927\u6a21\u578b\uff0c\u5728\u56fd\u9645\u9876\u7ea7\u671f\u520a\u548c\u4f1a\u8bae\u4e0a\u53d1\u8868\u5b66\u672f\u8bba\u6587\u4e00\u767e\u4f59\u7bc7\uff0c\u5f15\u7528\u8d85\u8fc7 9000 \u6b21\u3002\u62c5\u4efb SCI \u671f\u520a NeuroComputing \u526f\u4e3b\u7f16\uff0c\u591a\u6b21\u62c5\u4efb ACL\u3001EMNLP\u3001ICLR \u7b49\u56fd\u9645\u9876\u7ea7\u4f1a\u8bae\u9886\u57df\u4e3b\u5e2d\u3002\u7b2c\u4e00\u4f5c\u8005\u4e3a\u82cf\u5dde\u5927\u5b66\u535a\u58eb\u751f\u738b\u8d8a\uff0c\u817e\u8baf AI Lab \u9ad8\u7ea7\u7814\u7a76\u5458\u5218\u79cb\u5fd7\u3001\u5f90\u5609\u8c6a\u3001\u6881\u6dfb\uff0c\u4ee5\u53ca\u4e0a\u6d77\u4ea4\u901a\u5927\u5b66\u535a\u58eb\u751f\u9648\u661f\u5b87\u3001\u4f55\u5fd7\u5a01\u3002<\/strong><\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-92477a81775a9539979e3d149250c73e.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-92477a81775a9539979e3d149250c73e.png\"><\/a><\/section>\n<ul>\n<li>\n<p>\u8bba\u6587\u9898\u76ee\uff1aThoughts Are All Over the Place: On the Underthinking of o1-Like LLMs<\/p>\n<\/li>\n<li>\n<p>\u8bba\u6587\u5730\u5740\uff1ahttps:\/\/arxiv.org\/pdf\/2501.18585<\/p>\n<\/li>\n<\/ul>\n<section><strong>\u80cc\u666f\u4e0e\u52a8\u673a<\/strong><\/section>\n<section><\/section>\n<section>\u957f\u63a8\u7406\u6a21\u578b\uff08Long Reasoning Models\uff09\uff0c\u5982 OpenAI o1 [1]\u3001QwQ-32B-Preview [2]\u3001 DeepSeek-R1-671B [3] \u548c Kimi K1.5 [4] \u7b49\uff0c\u56e0\u5176\u5c55\u73b0\u51fa\u7c7b\u4f3c\u4eba\u7c7b\u7684\u6df1\u5ea6\u601d\u8003\u80fd\u529b\u800c\u5907\u53d7\u5173\u6ce8\u3002\u8fd9\u4e9b\u6a21\u578b\u901a\u8fc7\u957f\u65f6\u95f4\u63a8\u7406\uff08Inference-Time Scaling\uff09\uff0c\u80fd\u591f\u5728\u89e3\u7801\u9636\u6bb5\u4e0d\u65ad\u601d\u8003\u5e76\u5c1d\u8bd5\u65b0\u7684\u601d\u8def\u6765\u4f18\u5316\u81ea\u8eab\u7684\u7b54\u6848\u8d28\u91cf\u3002\u7136\u800c\uff0c\u957f\u63a8\u7406\u6a21\u578b\u5728\u63a8\u7406\u8fc7\u7a0b\u4e2d\u6240\u6709\u7684\u601d\u8003\u662f\u5426\u9ad8\u6548\uff0c\u8fd9\u4e00\u95ee\u9898\u4ecd\u672a\u5f97\u5230\u5145\u5206\u63a2\u7d22\u3002<\/section>\n<section><\/section>\n<section>\u6b64\u524d\uff0c\u817e\u8baf AI Lab \u7684\u7814\u7a76\u56e2\u961f\u53d1\u73b0\uff0c<strong>\u957f\u63a8\u7406\u6a21\u578b\u5728\u9762\u5bf9\u7b80\u5355\u95ee\u9898\u65f6\uff0c\u5176\u601d\u8003\u884c\u4e3a\u4f1a\u51fa\u73b0\u5927\u91cf\u91cd\u590d\uff0c\u4ece\u800c\u6d6a\u8d39\u5927\u91cf\u8ba1\u7b97\u8d44\u6e90<\/strong> [5]\uff08<a data-itemshowtype=\"0\" data-linktype=\"2\" href=\"https:\/\/mp.weixin.qq.com\/s?__biz=MzA3MzI4MjgzMw==&amp;mid=2650950584&amp;idx=4&amp;sn=1c01568f1f1f61c6a94e87268f9e460f&amp;scene=21#wechat_redirect\" target=\"_blank\">o1 \u4e5f\u4f1a\u300c\u60f3\u592a\u591a\u300d\uff1f\u817e\u8baf AI Lab \u4e0e\u4e0a\u6d77\u4ea4\u5927\u63ed\u79d8 o1 \u6a21\u578b\u8fc7\u5ea6\u601d\u8003\u95ee\u9898<\/a>\uff09\u3002\u800c\u5728<strong>\u9762\u5bf9\u96be\u9898\u65f6\uff0c\u957f\u63a8\u7406\u6a21\u578b\u7684\u601d\u8003\u6a21\u5f0f\u662f\u5426\u9ad8\u6548\u4f9d\u7136\u662f\u4e00\u4e2a\u7591\u95ee<\/strong>\u3002\u57fa\u4e8e\u6b64\uff0c\u8be5\u7814\u7a76\u56e2\u961f\u8fdb\u4e00\u6b65\u6df1\u5165\u7814\u7a76\uff0c\u8bd5\u56fe\u63ed\u793a\u957f\u63a8\u7406\u6a21\u578b\u5728\u590d\u6742\u95ee\u9898\u4e0a\u7684\u8868\u73b0\u53ca\u5176\u6f5c\u5728\u95ee\u9898\u3002<\/section>\n<section><\/section>\n<section><strong>\u601d\u8003\u4e0d\u8db3\u662f\u957f\u63a8\u7406\u6a21\u578b\u7684 \u201c\u6ce8\u610f\u529b\u7f3a\u9677\u591a\u52a8\u969c\u788d\u201d<\/strong><\/section>\n<section><\/section>\n<section>\u7814\u7a76\u56e2\u961f\u7684\u6700\u65b0\u7814\u7a76\u663e\u793a\uff0c<strong>\u957f\u63a8\u7406\u6a21\u578b\u5728\u63a8\u7406\u8fc7\u7a0b\u4e2d\u5f80\u5f80\u9891\u7e41\u5730\u8fdb\u884c\u601d\u8def\u8df3\u8f6c\uff0c\u65e0\u6cd5\u5c06\u6ce8\u610f\u529b\u96c6\u4e2d\u5728\u4e00\u4e2a\u6b63\u786e\u7684\u601d\u8def\u4e0a\u5e76\u6df1\u5165\u601d\u8003\uff0c\u4ece\u800c\u5f97\u5230\u6b63\u786e\u7b54\u6848\u3002<\/strong>\u7814\u7a76\u56e2\u961f\u9996\u5148\u5c06 \u201c\u601d\u8def\uff08thought\uff09\u201d \u5b9a\u4e49\u4e3a\u6a21\u578b\u5728\u63a8\u7406\u7b56\u7565\u4e2d\u4ea7\u751f\u7684\u4e2d\u95f4\u8ba4\u77e5\u6b65\u9aa4\u3002\u957f\u63a8\u7406\u6a21\u578b\u5e38\u5e38\u901a\u8fc7\u4f7f\u7528 \u201calternatively\u201d \u7b49\u672f\u8bed\u6765\u5207\u6362\u63a8\u7406\u601d\u8def\u3002\u4f8b\u5982\uff0c\u5728\u4e0b\u56fe\u6240\u793a\u7684\u4f8b\u5b50\u4e2d\uff0c\u6a21\u578b\u53ef\u80fd\u4f1a\u4ece\u4ee3\u6570\u64cd\u4f5c\u8f6c\u5411\u51e0\u4f55\u89e3\u91ca\uff0c\u518d\u5230\u4f18\u5316\u7b56\u7565\u3002\u8fd9\u79cd\u601d\u8def\u5207\u6362\u4f7f\u5f97\u957f\u63a8\u7406\u6a21\u578b\u80fd\u591f\u66f4\u5e7f\u6cdb\u5730\u63a2\u7d22\u6f5c\u5728\u7684\u89e3\u51b3\u65b9\u6848\uff0c\u5c55\u793a\u4e86\u5176\u5728\u89e3\u51b3\u590d\u6742\u95ee\u9898\u65f6\u7684\u7075\u6d3b\u6027\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-5464f6f8c7854513dc73409279d13862.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-5464f6f8c7854513dc73409279d13862.png\"><\/a><\/section>\n<section>\u7814\u7a76\u4eba\u5458\u7edf\u8ba1\u4e86\u5728 MATH500 \u6d4b\u8bd5\u96c6\u7684\u4e0d\u540c\u96be\u5ea6\u7ea7\u522b\u4e0b\uff0c\u751f\u6210\u56de\u7b54\u65f6\u7684\u5e73\u5747\u601d\u8def\u548c token \u6570\u91cf\uff1a<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-a475745e6c73960ee832af9d169df0c2.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-a475745e6c73960ee832af9d169df0c2.png\"><\/a><\/section>\n<section>\u663e\u7136\uff0c<strong>\u968f\u7740\u96be\u5ea6\u589e\u52a0\uff0c\u6240\u6709\u6a21\u578b\u4ea7\u751f\u7684\u63a8\u7406\u601d\u8def\u4e5f\u6709\u6240\u589e\u591a<\/strong>\uff0c\u5e76\u4e14\u8fd9\u4e00\u8d8b\u52bf\u4e0e\u751f\u6210 token \u6570\u91cf\u7684\u589e\u957f\u4e00\u81f4\u3002\u8fd9\u8868\u660e\uff0c\u968f\u7740\u95ee\u9898\u590d\u6742\u6027\u7684\u589e\u52a0\uff0c\u6a21\u578b\u66f4\u503e\u5411\u4e8e\u9891\u7e41\u5207\u6362\u601d\u8def\uff0c\u4ece\u800c\u80fd\u591f\u52a8\u6001\u8c03\u6574\u63a8\u7406\u8fc7\u7a0b\uff0c\u4ee5\u5e94\u5bf9\u66f4\u5177\u6311\u6218\u6027\u7684\u95ee\u9898\u3002<\/section>\n<section><\/section>\n<section>\u90a3\u4e48\uff0c\u957f\u63a8\u7406\u6a21\u578b\u662f\u5426\u4f1a\u5728\u601d\u8def\u5207\u6362\u7684\u8fc7\u7a0b\u4e2d\u63d0\u5347\u5176\u51c6\u786e\u7387\u5462\uff1f\u56f4\u7ed5\u8fd9\u4e00\u95ee\u9898\uff0c\u7814\u7a76\u56e2\u961f\u5728 AIME24\u3001Math500-Hard \u548c GPQA Diamond \u7b49\u6d4b\u8bd5\u96c6\u4e0a\uff0c\u5bf9\u6b63\u786e\u56de\u7b54\u548c\u9519\u8bef\u56de\u7b54\u7684\u5e73\u5747\u601d\u8def\u6570\u91cf\u4ee5\u53ca token \u6570\u91cf\u8fdb\u884c\u4e86\u6df1\u5165\u5206\u6790\uff0c\u7ed3\u679c\u5982\u4e0b\u56fe\u6240\u793a\uff1a<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-8337bc3b294102f065f086ad9fe4660a.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-8337bc3b294102f065f086ad9fe4660a.png\"><\/a><\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-56336aa052abc68f539db246624aebb3.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-56336aa052abc68f539db246624aebb3.png\"><\/a><\/section>\n<section>\u76f8\u8f83\u4e8e\u6b63\u786e\u7b54\u6848\uff0c\u957f\u63a8\u7406\u6a21\u578b\u5728\u9519\u8bef\u56de\u7b54\u4e2d\u5f80\u5f80\u4f1a\u51fa\u73b0\u66f4\u591a\u7684\u63a8\u7406\u601d\u8def\u5207\u6362\u3002\u8fd9\u5bfc\u81f4\u4e86<strong>\u56de\u7b54\u957f\u5ea6\u663e\u8457\u589e\u957f\uff0c\u4f46\u51c6\u786e\u6027\u5374\u672a\u80fd\u76f8\u5e94\u63d0\u5347<\/strong>\u3002\u5e73\u5747\u800c\u8a00\uff0c\u957f\u63a8\u7406\u6a21\u578b\u5728 AIME24 \u4e0a\u7684\u9519\u8bef\u56de\u7b54\u4e2d\u56e0\u9891\u7e41\u601d\u8def\u5207\u6362\uff0c\u751f\u6210\u7684 token \u6570\u91cf\u6bd4\u6b63\u786e\u56de\u7b54\u591a\u51fa 225%\uff0c\u601d\u8def\u6570\u91cf\u589e\u52a0\u4e86 418%\u3002\u76f8\u6bd4\u4e4b\u4e0b\uff0c\u4f20\u7edf\u7684 LLM\uff08\u5982 Qwen-Math-72B \u548c Llama3.3-79B\uff09\u5728\u6b63\u786e\u4e0e\u9519\u8bef\u56de\u7b54\u4e4b\u95f4\u7684\u56de\u7b54\u957f\u5ea6\u6ca1\u6709\u663e\u8457\u5dee\u5f02\u3002<\/section>\n<section><\/section>\n<section>\u8fd9\u4e00\u8d8b\u52bf\u8868\u660e\uff0c\u5c3d\u7ba1\u6a21\u578b\u88ab\u8bbe\u8ba1\u4e3a\u52a8\u6001\u8c03\u6574\u5176\u8ba4\u77e5\u8fc7\u7a0b\u6765\u89e3\u51b3\u95ee\u9898\uff0c\u4f46\u66f4\u9891\u7e41\u7684\u601d\u8def\u5207\u6362\u5e76\u4e0d\u4e00\u5b9a\u80fd\u63d0\u5347\u51c6\u786e\u6027\u3002\u6362\u53e5\u8bdd\u8bf4\uff0c<strong>\u5728\u5904\u7406\u96be\u9898\u65f6\uff0c\u957f\u63a8\u7406\u6a21\u578b\u4e5f\u5b58\u5728 \u201c\u6ce8\u610f\u529b\u7f3a\u9677\u591a\u52a8\u969c\u788d\u201d \u7684\u95ee\u9898\u3002\u7814\u7a76\u56e2\u961f\u5c06\u8fd9\u79cd\u73b0\u8c61\u547d\u540d\u4e3a \u201c\u601d\u8003\u4e0d\u8db3\u201d\uff08Underthinking\uff09\uff0c\u5373\u957f\u63a8\u7406\u6a21\u578b\u5728\u63a8\u7406\u8fc7\u7a0b\u4e2d\u9891\u7e41\u5730\u8fdb\u884c\u601d\u8def\u8df3\u8f6c\uff0c\u65e0\u6cd5\u5c06\u6ce8\u610f\u529b\u96c6\u4e2d\u5728\u4e00\u4e2a\u6b63\u786e\u7684\u601d\u8def\u4e0a\u5e76\u6df1\u5165\u601d\u8003\uff0c\u4ece\u800c\u5f97\u5230\u6b63\u786e\u7b54\u6848\u3002<\/strong>\u5b9e\u9645\u4e0a\uff0c\u6a21\u578b\u53ef\u80fd\u5728\u6d88\u8017\u989d\u5916\u8ba1\u7b97\u8d44\u6e90\uff08\u901a\u8fc7\u589e\u52a0\u751f\u6210\u7684 token \u4f53\u73b0\uff09\u65f6\uff0c\u672a\u80fd\u63d0\u4f9b\u66f4\u7cbe\u786e\u7684\u89e3\u51b3\u65b9\u6848\u3002\u8fd9\u4e9b\u53d1\u73b0\u8868\u660e\uff0c\u5728\u9762\u5bf9\u590d\u6742\u95ee\u9898\u65f6\uff0c\u9664\u4e86\u63a2\u7d22\u989d\u5916\u7684\u8ba4\u77e5\u9014\u5f84\u5916\uff0c\u66f4\u9700\u8981\u4ee5\u66f4\u6709\u9488\u5bf9\u6027\u548c\u9ad8\u6548\u7684\u65b9\u5f0f\u8fdb\u884c\u64cd\u4f5c\uff0c\u624d\u80fd\u5728\u63a8\u7406\u590d\u6742\u7684\u95ee\u9898\u65f6\u63d0\u5347\u51c6\u786e\u6027\u3002<\/section>\n<section><\/section>\n<section><strong>\u91cf\u5316 \u201c\u601d\u8003\u4e0d\u8db3\u201d<\/strong><\/section>\n<section><\/section>\n<section>\u7814\u7a76\u56e2\u961f\u8ba4\u4e3a\uff0c\u9891\u7e41\u5207\u6362\u601d\u8def\u800c\u5f97\u51fa\u9519\u8bef\u7b54\u6848\u7684\u884c\u4e3a\uff0c\u53ef\u80fd\u6e90\u4e8e\u4ee5\u4e0b\u4e24\u4e2a\u539f\u56e0\uff1a\u4e00\u662f\u771f\u6b63\u7684\u601d\u8003\u4e0d\u8db3\uff0c\u5373\u6a21\u578b\u867d\u7136\u627e\u5230\u4e86\u4e00\u6761\u6709\u5e0c\u671b\u7684\u601d\u8def\uff0c\u4f46\u672a\u80fd\u6301\u7eed\u6df1\u5165\u5730\u575a\u6301\u4e0b\u53bb\uff1b\u4e8c\u662f\u5bf9\u95ee\u9898\u7f3a\u4e4f\u6df1\u5165\u7406\u89e3\uff0c\u4ece\u800c\u76f2\u76ee\u63a2\u7d22\u5404\u79cd\u65e0\u6548\u7684\u65b9\u6cd5\u3002<\/section>\n<section><\/section>\n<section>\u4e3a\u4e86\u8fdb\u4e00\u6b65\u5398\u6e05\u8fd9\u4e9b\u53ef\u80fd\u6027\uff0c\u7814\u7a76\u56e2\u961f\u63d0\u51fa\u4e86\u4e00\u4e2a\u8bc4\u4f30\u6846\u67b6\uff0c\u7528\u4e8e\u8bc4\u4f30\u4e00\u6761\u88ab\u653e\u5f03\u7684\u63a8\u7406\u8def\u5f84\u662f\u5426\u8db3\u4ee5\u5f97\u51fa\u6b63\u786e\u7684\u7b54\u6848\u3002\u901a\u8fc7\u5173\u6ce8\u6a21\u578b\u662f\u5426\u80fd\u591f\u6301\u7eed\u9075\u5faa\u548c\u6df1\u5316\u4e00\u6761 \u201c\u770b\u8d77\u6765\u6709\u5e0c\u671b\u7684\u601d\u8def\u201d\uff0c\u53ef\u4ee5\u8bc6\u522b\u601d\u8003\u4e0d\u8db3\u7684\u60c5\u51b5\u3002\u5177\u4f53\u800c\u8a00\uff0c\u7814\u7a76\u56e2\u961f\u4f7f\u7528 DeepSeek-R1-Distill-Llama-70B \u548c DeepSeek-R1-Distill-Qwen-32B \u6765\u5224\u65ad\u4e00\u4e2a\u601d\u8def\u662f\u5426\u80fd\u5f97\u5230\u6b63\u786e\u7b54\u6848\u3002<\/section>\n<section><\/section>\n<section>\u4e3a\u4e86\u9a8c\u8bc1\u6a21\u578b\u56de\u7b54\u4e2d\u7684\u521d\u6b65\u60f3\u6cd5\u662f\u5426\u6b63\u786e\uff0c\u4e0b\u56fe\u5c55\u793a\u4e86\u5728\u9519\u8bef\u56de\u7b54\u4e2d\u4e0d\u540c\u4f4d\u7f6e\u601d\u8def\u7684\u6b63\u786e\u6bd4\u4f8b\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-fb21156dc9c20fd1c6d2dbfedcbd0d53.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-fb21156dc9c20fd1c6d2dbfedcbd0d53.png\"><\/a><\/section>\n<section>\u7ed3\u679c\u663e\u793a\uff0c<strong>\u5728\u5404\u79cd\u6a21\u578b\u7684\u521d\u6b65\u60f3\u6cd5\u4e2d\uff0c\u76f8\u5f53\u4e00\u90e8\u5206\u7684\u89e3\u9898\u601d\u8def\u662f\u6b63\u786e\u7684<\/strong>\uff0c\u4f46\u9057\u61be\u7684\u662f\uff0c\u6a21\u578b\u5e76\u6ca1\u6709\u6df1\u5165\u601d\u8003\u8fd9\u4e9b\u89e3\u9898\u601d\u8def\uff0c\u800c\u662f\u8fc7\u65e9\u5730\u653e\u5f03\u4e86\u3002\u8fd9\u4e00\u73b0\u8c61\u8868\u660e\uff0c\u6a21\u578b\u9700\u8981\u589e\u5f3a\u6301\u7eed\u6df1\u5165\u4e14\u51c6\u786e\u5730\u63a2\u7d22\u7279\u5b9a\u63a8\u7406\u8def\u5f84\u7684\u80fd\u529b\uff0c\u800c\u4e0d\u662f\u8f7b\u6613\u8f6c\u5411\u5176\u4ed6\u601d\u8def\u3002<\/section>\n<section><\/section>\n<section>\u6b64\u5916\uff0c\u7814\u7a76\u56e2\u961f\u8fd8\u5206\u6790\u4e86\u4e0d\u540c\u6a21\u578b\u7684\u9519\u8bef\u56de\u7b54\u4e2d\u6b63\u786e\u601d\u8def\u6bd4\u4f8b\u7684\u5206\u5e03\u60c5\u51b5\uff0c\u5982\u4e0b\u56fe\u6240\u793a\uff1a<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-897b71696b75346dc3e71744b59a7e7c.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-897b71696b75346dc3e71744b59a7e7c.png\"><\/a><\/section>\n<section>\u89c2\u5bdf\u53d1\u73b0\uff0c<strong>\u8d85\u8fc7 70% \u7684\u9519\u8bef\u56de\u7b54\u4e2d\u81f3\u5c11\u5305\u542b\u4e00\u4e2a\u6b63\u786e\u7684\u601d\u8def<\/strong>\u3002\u6b64\u5916\uff0c\u5728\u8fd9\u4e9b\u56de\u7b54\u4e2d\uff0c\u6709\u8d85\u8fc7 50% \u7684\u56de\u7b54\u5176\u6b63\u786e\u601d\u8def\u7684\u6bd4\u4f8b\u8fbe\u5230 10% \u4ee5\u4e0a\u3002\u8fd9\u8868\u660e\uff0c\u867d\u7136\u957f\u63a8\u7406\u6a21\u578b\u80fd\u591f\u6210\u529f\u627e\u5230\u6b63\u786e\u7684\u63a8\u7406\u601d\u8def\uff0c\u4f46\u5b83\u4eec\u5f80\u5f80\u96be\u4ee5\u6cbf\u7740\u8fd9\u4e9b\u8def\u5f84\u6301\u7eed\u6df1\u5165\uff0c\u8fdb\u800c\u5f97\u51fa\u6b63\u786e\u7684\u7ed3\u8bba\u3002\u8fd9\u4e00\u73b0\u8c61\u51f8\u663e\u4e86\u9f13\u52b1\u6a21\u578b\u4fdd\u6301\u5e76\u62d3\u5c55\u5176\u6700\u521d\u6b63\u786e\u601d\u8def\u7684\u91cd\u8981\u6027\uff0c\u4ee5\u4fbf\u5c06\u8fd9\u4e9b\u6b63\u786e\u601d\u8def\u6574\u5408\u4e3a\u51c6\u786e\u7684\u6700\u7ec8\u7b54\u6848\u3002<\/section>\n<section><\/section>\n<section>\u57fa\u4e8e\u4e0a\u8ff0\u89c2\u5bdf\u7ed3\u679c\uff0c\u7814\u7a76\u56e2\u961f\u63d0\u51fa\u4e86<strong>\u7b2c\u4e00\u4e2a\u9488\u5bf9\u957f\u63a8\u7406\u6a21\u578b\u601d\u8003\u4e0d\u8db3\u7684\u6307\u6807\uff08Underthinking Score\uff09<\/strong>\uff0c\u8868\u793a\u4e3a<a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-f399845d67ebdfd09d548074c3dfbed2.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-f399845d67ebdfd09d548074c3dfbed2.png\"><\/a>\u3002\u8be5\u6307\u6807\u7684\u8ba1\u7b97\u516c\u5f0f\u4e3a\uff1a<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-57930b2e15cf31780baf32330e6b602f.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-57930b2e15cf31780baf32330e6b602f.png\"><\/a><\/section>\n<section>\u5176\u4e2d\uff0cN \u662f\u6d4b\u8bd5\u96c6\u4e2d\u7684\u9519\u9898\u6570\u91cf\uff0c<a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-cda299b7f8f5e0da460d227598786bc3.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-cda299b7f8f5e0da460d227598786bc3.png\"><\/a>\u662f\u7b2c i \u4e2a\u9519\u9898\u7684\u56de\u7b54 token \u6570\u91cf\uff0c<a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-4db02893514f21c6d877409421544f87.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-4db02893514f21c6d877409421544f87.png\"><\/a>\u662f\u4ece\u8be5\u56de\u7b54\u5f00\u59cb\u5230\u7b2c\u4e00\u4e2a\u6b63\u786e\u60f3\u6cd5\u4e3a\u6b62\u7684 token \u6570\u91cf\uff08\u5305\u62ec\u7b2c\u4e00\u4e2a\u6b63\u786e\u60f3\u6cd5\uff09\u3002\u5982\u679c\u7b2c i \u4e2a\u56de\u7b54\u4e2d\u6ca1\u6709\u6b63\u786e\u7684\u601d\u8def\uff0c\u5219 <a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-2e5cf57b080129db79aaebf306ab6b75.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-2e5cf57b080129db79aaebf306ab6b75.png\"><\/a> \uff0c\u8868\u793a\u6a21\u578b\u5bf9\u8be5\u95ee\u9898\u7f3a\u4e4f\u7406\u89e3\uff0c\u56e0\u6b64\u65e0\u6cd5\u8ba4\u4e3a\u662f \u201c\u601d\u8003\u4e0d\u8db3\u201d\u3002\u76f4\u89c2\u5730\u8bf4\uff0c\u5982\u679c\u4e00\u4e2a\u6a21\u578b\u5728\u56de\u7b54\u8fc7\u7a0b\u4e2d\u6700\u521d\u4ea7\u751f\u4e86\u6b63\u786e\u7684\u601d\u8def\uff0c\u4f46\u968f\u540e\u8f6c\u5411\u5176\u4ed6\u601d\u8def\u5e76\u6700\u7ec8\u672a\u80fd\u5f97\u51fa\u6b63\u786e\u7b54\u6848\uff0c\u90a3\u4e48\u6b64\u540e\u751f\u6210\u7684 token \u5bf9\u4e8e\u6700\u7ec8\u8fbe\u5230\u6b63\u786e\u7b54\u6848\u5e76\u65e0\u5b9e\u8d28\u6027\u8d21\u732e\u3002\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u7531\u4e8e\u7f3a\u4e4f\u8db3\u591f\u7684\u601d\u8003\u6df1\u5ea6\uff0c\u6a21\u578b\u7684\u63a8\u7406\u8fc7\u7a0b\u88ab\u8ba4\u4e3a\u662f\u4f4e\u6548\u7684\u3002\u5177\u4f53\u800c\u8a00\uff0c<a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-86e291d936b0781a12a3ec81e16379ba.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-86e291d936b0781a12a3ec81e16379ba.png\"><\/a>\u503c\u4f4e\u8868\u793a\u66f4\u9ad8\u7684\u63a8\u7406\u6548\u7387\uff0c\u8fd9\u610f\u5473\u7740\u5728\u9519\u8bef\u56de\u7b54\u4e2d\uff0c\u6709\u66f4\u5927\u6bd4\u4f8b\u7684 token \u80fd\u591f\u4e3a\u6b63\u786e\u601d\u8def\u7684\u5f62\u6210\u63d0\u4f9b\u652f\u6301\uff1b<a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-50ed95e59f6064133f179843ea9580c1.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-50ed95e59f6064133f179843ea9580c1.png\"><\/a>\u503c\u9ad8\u8868\u793a\u8f83\u4f4e\u7684\u63a8\u7406\u6548\u7387\uff0c\u610f\u5473\u7740\u6709\u66f4\u5927\u6bd4\u4f8b\u7684 token \u672a\u80fd\u6709\u6548\u52a9\u529b\u4e8e\u6b63\u786e\u601d\u8def\u7684\u751f\u6210\uff0c\u5373\u6a21\u578b\u53ef\u80fd\u56e0\u9891\u7e41\u5207\u6362\u601d\u8def\u800c\u751f\u6210\u5927\u91cf\u5197\u4f59\u6216\u4e0d\u76f8\u5173\u7684 token\u3002<\/section>\n<section><\/section>\n<section>\u501f\u52a9\u8fd9\u4e00\u6307\u6807\uff0c\u7814\u7a76\u4eba\u5458\u80fd\u591f\u5b9a\u91cf\u5730\u8bc4\u4f30\u6a21\u578b\u5728\u9519\u8bef\u56de\u7b54\u4e2d\u7684\u63a8\u7406\u6548\u7387\u3002\u4e0b\u8868\u5c55\u793a\u4e86\u4e0d\u540c\u6a21\u578b\u7684\u51c6\u786e\u7387\uff08\u8d8a\u9ad8\u6027\u80fd\u8d8a\u5f3a\uff09\u548c<strong>\u601d\u8003\u4e0d\u8db3\u5f97\u5206<\/strong><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-5c7deeb9f425ee3cbc1b6522f2e1d71f.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-5c7deeb9f425ee3cbc1b6522f2e1d71f.png\"><\/a>\uff08\u8d8a\u5c0f\u8d8a\u80fd\u5145\u5206\u601d\u8003\uff09\uff1a<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-4a81e85ccf4d4a425197444734dbdf9f.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-4a81e85ccf4d4a425197444734dbdf9f.png\"><\/a><\/section>\n<section>\u7ed3\u679c\u8868\u660e\uff0c\u5355\u7eaf\u589e\u5927\u6a21\u578b\u5c3a\u5bf8\u5e76\u4e0d\u80fd\u907f\u514d\u601d\u8003\u4e0d\u8db3\uff0c\u6a21\u578b\u51c6\u786e\u7387\u7684\u63d0\u5347\u4e5f\u4e0d\u4e00\u5b9a\u4f1a\u51cf\u5c11\u8be5\u73b0\u8c61\u3002\u7531\u6b64\u53ef\u89c1\uff0c\u6211\u4eec\u9700\u8981\u6df1\u5165\u63a2\u7d22\u601d\u8003\u4e0d\u8db3\u8fd9\u4e00\u590d\u6742\u73b0\u8c61\uff0c\u4ece\u800c\u5728\u8bad\u7ec3\u6a21\u578b\u7684\u8fc7\u7a0b\u4e2d\uff0c\u4e0d\u4ec5\u4f7f\u5176\u80fd\u591f\u7ed9\u51fa\u6b63\u786e\u7684\u7b54\u6848\uff0c\u8fd8\u80fd\u5177\u5907\u9ad8\u6548\u7684\u63a8\u7406\u80fd\u529b\u3002<\/section>\n<section><\/section>\n<section><strong>\u7f13\u89e3\u601d\u8003\u4e0d\u8db3\uff1a\u5f15\u5165\u601d\u8def\u8f6c\u6362\u60e9\u7f5a<\/strong><\/section>\n<section><\/section>\n<section>\u4e3a\u4e86\u7f13\u89e3\u957f\u63a8\u7406\u6a21\u578b\u7684\u601d\u8003\u4e0d\u8db3\u73b0\u8c61\uff0c\u7814\u7a76\u56e2\u961f\u63d0\u51fa\u4e86\u4e00\u79cd<strong>\u60e9\u7f5a\u601d\u8def\u8f6c\u6362<\/strong>\u7684\u89e3\u7801\u7b56\u7565\uff0c\u79f0\u4e3a \u201cThought Switching Penalty\u201d\uff08TIP\uff09\u3002\u8be5\u7b56\u7565\u901a\u8fc7\u5728\u751f\u6210\u8fc7\u7a0b\u4e2d\u5bf9\u601d\u8def\u5207\u6362\u65bd\u52a0\u60e9\u7f5a\uff0c\u9f13\u52b1\u6a21\u578b\u5728\u6df1\u5165\u63a2\u7d22\u6bcf\u4e2a\u63a8\u7406\u8def\u5f84\u540e\u518d\u8003\u8651\u5176\u4ed6\u66ff\u4ee3\u65b9\u6848\u3002<\/section>\n<section><\/section>\n<section>\u5728\u6807\u51c6\u7684\u89e3\u7801\u8fc7\u7a0b\u4e2d\uff0c\u5728\u4f4d\u7f6e t \u751f\u6210 token v \u7684\u6982\u7387\u662f\u901a\u8fc7\u5bf9\u8f93\u51fa\u5c42\u7684 logits \u4f7f\u7528 softmax \u51fd\u6570\u8ba1\u7b97\u7684\uff1a<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-68d6a3520cbe34c056d44e882fd932f9.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-68d6a3520cbe34c056d44e882fd932f9.png\"><\/a><\/section>\n<section>\u5176\u4e2d <a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-7871dc0dec7c6f7eddfd250eb1f2703a.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-7871dc0dec7c6f7eddfd250eb1f2703a.png\"><\/a>\u662f\u4f4d\u7f6e t \u5173\u4e8e token v \u7684 logit\uff08\u672a\u5f52\u4e00\u5316\u7684\u5206\u6570\uff09\u3002\u4e3a\u4e86\u9f13\u52b1\u6a21\u578b\u5728\u5207\u6362\u601d\u8def\u4e4b\u524d\u66f4\u6df1\u5165\u5730\u63a2\u7d22\u5f53\u524d\u601d\u8def\uff0c\u7814\u7a76\u56e2\u961f\u5f15\u5165\u4e86\u4e00\u4e2a\u5bf9\u4e0e\u601d\u8def\u8f6c\u6362\u76f8\u5173\u7684\u8868\u8fbe\u60e9\u7f5a\u3002\u5177\u4f53\u800c\u8a00\uff0c\u8bbe<a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-2a4f0e49a706d9e7b997adce1c524e9d.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-2a4f0e49a706d9e7b997adce1c524e9d.png\"><\/a>\u00a0\u662f\u4e0e\u601d\u8def\u5207\u6362\u76f8\u5173\u7684\u8bcd\u6c47\u96c6\u5408\uff08\u4f8b\u5982\uff0c\u201calternatively\u201d\uff09\uff0c\u4f5c\u8005\u4eec\u4fee\u6539\u4e86 logits \u5982\u4e0b\uff1a<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-f3aab15b45a1e924ae61d8103cb9f7dc.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-f3aab15b45a1e924ae61d8103cb9f7dc.png\"><\/a><\/section>\n<section>\u5176\u4e2d\uff1a<a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-cd151440fbd842b287ea2272f0af0edd.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-cd151440fbd842b287ea2272f0af0edd.png\"><\/a>\uff08\u60e9\u7f5a\u5f3a\u5ea6\uff09\u662f\u4e00\u4e2a\u63a7\u5236\u5bf9\u601d\u8def\u5207\u6362\u6807\u8bb0\u65bd\u52a0\u60e9\u7f5a\u5f3a\u5ea6\u7684\u53c2\u6570\u3002\u8f83\u5927\u7684<a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-e688e59177e7765331124f4337a03e1d.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-e688e59177e7765331124f4337a03e1d.png\"><\/a>\u4f1a\u5bfc\u81f4\u8fd9\u4e9b\u8bcd\u8bed\u7684 logits \u51cf\u5c11\u66f4\u591a\uff0c\u4f7f\u5b83\u4eec\u88ab\u9009\u4e2d\u7684\u53ef\u80fd\u6027\u964d\u4f4e\uff1b<a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-038ff314dd29262882b4a89c3e4cb323.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-038ff314dd29262882b4a89c3e4cb323.png\"><\/a>\uff08\u60e9\u7f5a\u6301\u7eed\u65f6\u95f4\uff09\u6307\u5b9a\u4e86\u4ece\u601d\u8def\u5f00\u59cb\u4f4d\u7f6e <a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-72c3b7b837c25ea29ad71bbe9ebfc9ce.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-72c3b7b837c25ea29ad71bbe9ebfc9ce.png\"><\/a>\u8d77\u7684\u60e9\u7f5a\u751f\u6548\u7684\u4f4d\u7f6e\u6570\u3002\u8f83\u5927\u7684<a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-eb2cf66983ba09f071de2037b65d79a6.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-eb2cf66983ba09f071de2037b65d79a6.png\"><\/a>\u4f1a\u5ef6\u957f\u60e9\u7f5a\u7684\u8303\u56f4\uff0c\u8fdb\u4e00\u6b65\u963b\u6b62\u8fc7\u65e9\u7684\u601d\u8def\u5207\u6362\uff1b\u5f53<a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-4ada83e54e275418905890f9858a2692.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-4ada83e54e275418905890f9858a2692.png\"><\/a>\u65f6\uff0c\u60e9\u7f5a\u88ab\u7981\u7528\uff0c\u89e3\u7801\u8fc7\u7a0b\u9000\u5316\u4e3a\u6807\u51c6\u89e3\u7801\u7b97\u6cd5\u3002<\/section>\n<section><\/section>\n<section>\u8c03\u6574\u540e\u7684 logits<a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-3c53dd9fd63de41a3cb11dcf0fa4320d.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-3c53dd9fd63de41a3cb11dcf0fa4320d.png\"><\/a>\u51cf\u5c11\u4e86\u5728\u6307\u5b9a\u7a97\u53e3\u5185\u751f\u6210\u601d\u8def\u5207\u6362\u6807\u8bb0\u7684\u6982\u7387\uff0c\u4ece\u800c\u9f13\u52b1\u6a21\u578b\u5728\u7ee7\u7eed\u6269\u5c55\u5f53\u524d\u601d\u8def\u4e4b\u524d\u4e0d\u8fdb\u884c\u5207\u6362\u3002\u65b0\u7684\u6982\u7387\u5206\u5e03\u53d8\u4e3a\uff1a<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-2ba6bbff098f326a5d9d568221e89168.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-2ba6bbff098f326a5d9d568221e89168.png\"><\/a><\/section>\n<section>TIP \u7b56\u7565\u901a\u8fc7\u60e9\u7f5a\u673a\u5236\u6291\u5236\u6a21\u578b\u751f\u6210\u601d\u8def\u8f6c\u6362\u76f8\u5173\u7684\u8bcd\u8bed\uff0c\u4ece\u800c\u9f13\u52b1\u6a21\u578b\u5728\u751f\u6210\u6587\u672c\u65f6\u4fdd\u6301\u5176\u539f\u59cb\u7684\u63a8\u7406\u8def\u5f84\uff0c\u5e76\u8fdb\u884c\u66f4\u6df1\u5165\u7684\u601d\u8003\uff0c\u907f\u514d\u9891\u7e41\u7684\u7b56\u7565\u5207\u6362\u548c\u8868\u9762\u5316\u7684\u63a8\u7406\u6a21\u5f0f\u3002\u4e0b\u56fe\u5c55\u793a\u4e86 QwQ-32B-Preview \u5728\u52a0\u5165\u4e86 TIP \u7b56\u7565\u4e4b\u540e\u7684\u7ed3\u679c\uff1a<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-55842976805d66a0c26e15fa1db705e2.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-55842976805d66a0c26e15fa1db705e2.png\"><\/a><\/section>\n<section>\u7ed3\u679c\u663e\u793a\uff0c\u901a\u8fc7<strong>\u5f15\u5165 TIP \u7b56\u7565\uff0c\u5373\u4f7f\u4e0d\u8fdb\u884c\u6a21\u578b\u5fae\u8c03\u4e5f\u80fd\u5728 MATH500-Hard\u3001GPQA Diamond \u548c AIME2024 \u4e0a\u83b7\u5f97\u51c6\u786e\u7387\u63d0\u5347\u5e76\u51cf\u5c11\u601d\u8003\u4e0d\u8db3<\/strong>\u3002<\/section>\n<section><\/section>\n<section><strong>\u603b\u7ed3<\/strong><\/section>\n<section><\/section>\n<section><strong>\u817e\u8baf AI Lab \u4e0e\u82cf\u5dde\u5927\u5b66\u3001\u4e0a\u6d77\u4ea4\u901a\u5927\u5b66\u8054\u5408\u56e2\u961f\u6700\u65b0\u53d1\u73b0\uff0c\u957f\u63a8\u7406\u6a21\u578b\u4e5f\u5b58\u5728\u601d\u8003\u4e0d\u8db3\u95ee\u9898<\/strong>\u3002\u5177\u4f53\u4f53\u73b0\u4e3a\u957f\u63a8\u7406\u6a21\u578b\u5728\u63a8\u7406\u8fc7\u7a0b\u4e2d\u9891\u7e41\u5730\u8fdb\u884c\u601d\u8def\u8df3\u8f6c\uff0c\u65e0\u6cd5\u5c06\u6ce8\u610f\u529b\u96c6\u4e2d\u5728\u4e00\u4e2a\u6b63\u786e\u7684\u601d\u8def\u4e0a\u5e76\u6df1\u5165\u601d\u8003\uff0c\u4ece\u800c\u5f97\u5230\u6b63\u786e\u7b54\u6848\u3002\u7814\u7a76\u56e2\u961f\u5c06\u8fd9\u79cd\u73b0\u8c61\u547d\u540d\u4e3a \u201c\u601d\u8003\u4e0d\u8db3\u201d\uff08Underthinking\uff09\u3002<\/section>\n<section><\/section>\n<section>\u7814\u7a76\u56e2\u961f\u9996\u5148\u89c2\u5bdf\u5230\u957f\u63a8\u7406\u6a21\u578b\u9891\u7e41\u5207\u6362\u601d\u8def\u7684\u73b0\u8c61\uff0c\u5e76\u8fdb\u4e00\u6b65\u53d1\u73b0\u8fd9\u4e00\u73b0\u8c61\u7531\u601d\u8003\u4e0d\u8db3\u5bfc\u81f4\u3002\u4e3a\u4e86\u5b9a\u91cf\u8bc4\u4f30\u601d\u8def\u5207\u6362\u7684\u95ee\u9898\uff0c\u7814\u7a76\u56e2\u961f\u5f15\u5165\u4e86\u4e00\u79cd\u65b0\u9896\u7684\u601d\u8003\u4e0d\u8db3\u6307\u6807\uff0c\u4e3a\u63a8\u7406\u6548\u7387\u4f4e\u4e0b\u63d0\u4f9b\u4e86\u91cf\u5316\u8bc4\u4f30\u6846\u67b6\u3002\u540c\u65f6\uff0c\u7814\u7a76\u56e2\u961f\u63d0\u51fa\u4e86\u4e00\u79cd\u7f13\u89e3\u601d\u8003\u4e0d\u8db3\u7684\u7b80\u5355\u6709\u6548\u65b9\u6848 \u2014\u2014 \u5e26\u6709\u601d\u8def\u5207\u6362\u60e9\u7f5a\uff08Thought Switching Penalty\uff0cTIP\uff09\u7684\u89e3\u7801\u65b9\u6cd5\u3002\u8be5\u65b9\u6cd5\u9f13\u52b1\u6a21\u578b\u5728\u8003\u8651\u66ff\u4ee3\u65b9\u6848\u4e4b\u524d\uff0c\u5f7b\u5e95\u63a2\u7d22\u6bcf\u4e00\u6761\u63a8\u7406\u601d\u8def\uff0c\u4ece\u800c\u65e0\u9700\u989d\u5916\u7684\u5fae\u8c03\u5c31\u80fd\u63d0\u9ad8\u6a21\u578b\u7684\u51c6\u786e\u6027\u3002<\/section>\n<section><\/section>\n<section>\u8fd9\u9879\u7814\u7a76\u4e0d\u4ec5\u63ed\u793a\u4e86\u957f\u63a8\u7406\u6a21\u578b\u5728\u63a8\u7406\u8fc7\u7a0b\u4e2d\u7684\u4e0d\u8db3\u4e4b\u5904\uff0c\u8fd8\u63d0\u4f9b\u4e86\u4e00\u79cd\u5b9e\u7528\u7684\u89e3\u51b3\u65b9\u6848\uff0c\u6709\u52a9\u4e8e\u663e\u8457\u63d0\u5347\u6a21\u578b\u5728\u5904\u7406\u590d\u6742\u95ee\u9898\u65f6\u7684\u8868\u73b0\u3002\u5c55\u671b\u672a\u6765\uff0c\u7814\u7a76\u8005\u5c06\u7ee7\u7eed\u63a2\u7d22\u6a21\u578b\u4e2d\u7684\u81ea\u9002\u5e94\u673a\u5236\uff0c\u4ee5\u5b9e\u73b0\u5bf9\u601d\u8def\u8f6c\u53d8\u7684\u81ea\u6211\u8c03\u8282\uff0c\u8fdb\u4e00\u6b65\u63d0\u9ad8\u957f\u63a8\u7406\u6a21\u578b\u7684\u63a8\u7406\u6548\u7387\u3002<\/section>\n<section><\/section>\n<section><em><sup>\u53c2\u8003\u6587\u732e<\/sup><\/em><\/section>\n<section><sup><em>[1] OpenAI. Learning to reason with llms. https:\/\/openai.com\/index\/learning-to-reason-with-llms, 2024.<\/em><\/sup><\/section>\n<section><sup><em>[2] Qwen. Qwq: Reflect deeply on the boundaries of the unknown, November 2024. URL https: \/\/qwenlm.github.io\/blog\/qwq-32b-preview\/.<\/em><\/sup><\/section>\n<section><sup><em>[3] DeepSeek. Deepseek-r1-lite-preview: Unleashing supercharged reasoning power. https:\/\/api-docs.deepseek.com\/news\/news1120, 2024. Accessed: 2024-12-29.<\/em><\/sup><\/section>\n<section><sup><em>[4] DeepSeek. Deepseek-r1: Incentivizing reasoning capability in llms via reinforcement learning. 2025. URL https:\/\/api.semanticscholar.org\/CorpusID:275789950.<\/em><\/sup><\/section>\n<section><em><sup>[5] Xingyu Chen, Jiahao Xu, Tian Liang, Zhiwei He, Jianhui Pang, Dian Yu, Linfeng Song, Qiuzhi Liu, Mengfei Zhou, Zhuosheng Zhang, Rui Wang, Zhaopeng Tu, Haitao Mi, and Dong Yu. Do not think that much for 2+3=? on the overthinking of o1-like llms, 2024. 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