{"id":35157,"date":"2024-12-19T16:59:51","date_gmt":"2024-12-19T08:59:51","guid":{"rendered":"https:\/\/17aitech.com\/?p=35157"},"modified":"2024-12-19T16:59:51","modified_gmt":"2024-12-19T08:59:51","slug":"deepseek%e5%bc%80%e6%ba%90%e6%95%b0%e5%ad%a6%e5%a4%a7%e6%a8%a1%e5%9e%8b%ef%bc%8c%e9%ab%98%e4%b8%ad%e3%80%81%e5%a4%a7%e5%ad%a6%e5%ae%9a%e7%90%86%e8%af%81%e6%98%8e%e6%96%b0sota","status":"publish","type":"post","link":"https:\/\/17aitech.com\/?p=35157","title":{"rendered":"DeepSeek\u5f00\u6e90\u6570\u5b66\u5927\u6a21\u578b\uff0c\u9ad8\u4e2d\u3001\u5927\u5b66\u5b9a\u7406\u8bc1\u660e\u65b0SOTA"},"content":{"rendered":"<p>\u6587\u7ae0\u6765\u6e90\u4e8e\u4e92\u8054\u7f51:<a href=\"https:\/\/www.jiqizhixin.com\/articles\/2024-08-18-3\" target=\"_blank\">DeepSeek\u5f00\u6e90\u6570\u5b66\u5927\u6a21\u578b\uff0c\u9ad8\u4e2d\u3001\u5927\u5b66\u5b9a\u7406\u8bc1\u660e\u65b0SOTA<\/a><\/p>\n<section>\n<blockquote data-author-name=\"\" data-content-utf8-length=\"54\" data-source-title=\"\" data-type=\"2\" data-url=\"\">\n<section>\n<section>DeepSeek-Prover-V1.5 \u901a\u8fc7\u7ed3\u5408\u5f3a\u5316\u5b66\u4e60\u548c\u8499\u7279\u5361\u6d1b\u6811\u641c\u7d22\uff0c\u663e\u8457\u63d0\u5347\u4e86\u8bc1\u660e\u751f\u6210\u7684\u6548\u7387\u548c\u51c6\u786e\u6027\u3002<\/section>\n<\/section>\n<\/blockquote>\n<\/section>\n<section><\/section>\n<section>AI \u6280\u672f\u4e0e\u6570\u5b66\u53d1\u73b0\u7684\u8fdb\u5c55\uff0c\u6b63\u524d\u6240\u672a\u6709\u5730\u4ea4\u7ec7\u5728\u4e00\u8d77\u3002<\/section>\n<section><\/section>\n<section>\u524d\u6bb5\u65f6\u95f4\uff0c\u8457\u540d\u6570\u5b66\u5bb6\u9676\u54f2\u8f69\u5728\u725b\u6d25\u6570\u5b66\u516c\u5f00\u8bb2\u5ea7\u4e2d\u505a\u4e86\u4e3b\u9898\u4e3a\u300cAI \u5728\u79d1\u5b66\u548c\u6570\u5b66\u4e2d\u7684\u6f5c\u529b\u300d\u7684\u4e3b\u9898\u5206\u4eab\u3002\u4ed6\u6307\u51fa\uff0c\u5c06 AI \u6574\u5408\u5230\u6570\u5b66\u9886\u57df\u5c06\u4f7f\u5f62\u5f0f\u5316\u8bc1\u660e\u7684\u7f16\u5199\u901f\u5ea6\u8d85\u8fc7\u4eba\u7c7b\u8bc1\u660e\uff08\u4eba\u7c7b\u8bc1\u660e\u5bb9\u6613\u51fa\u9519\uff09\u3002\u8fd9\u5c06\u6210\u4e3a\u4e00\u4e2a\u5173\u952e\u8f6c\u6298\u70b9\uff0c\u610f\u5473\u7740\u5f62\u5f0f\u5316\u8bc1\u660e\u7684\u4f7f\u7528\u5c06\u4e0d\u4ec5\u9650\u4e8e\u9a8c\u8bc1\u73b0\u6709\u7684\u8bc1\u660e\uff0c\u8fd8\u5c06\u7528\u4e8e\u521b\u9020\u65b0\u7684\u6570\u5b66\u77e5\u8bc6\u3002\u8fd9\u5c06\u901a\u8fc7\u5e7f\u6cdb\u7684\u4eba\u7c7b\u6570\u5b66\u5bb6\u4e0e AI \u6570\u5b66\u5bb6\u4e4b\u95f4\u7684\u534f\u4f5c\u6765\u5b9e\u73b0\u3002\u6211\u4eec\u5c06\u8fce\u6765\u4e00\u4e2a\u300c\u5927\u6570\u5b66\u300d\u65f6\u4ee3\uff01<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/08\/frc-3f55e5613debec13495fc521825cb00b.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/08\/frc-3f55e5613debec13495fc521825cb00b.png\"><\/a><\/section>\n<section>\u6b63\u5982\u9676\u54f2\u8f69\u6240\u8bf4\uff0c\u5c06 AI \u5e94\u7528\u4e8e\u5f62\u5f0f\u5316\u5b9a\u7406\u8bc1\u660e\u5df2\u7ecf\u6210\u4e3a\u6570\u5b66\u5bb6\u7684\u65e5\u5e38\u64cd\u4f5c\u3002\u5728\u53e6\u4e00\u5934\uff0cAI \u79d1\u5b66\u5bb6\u4eec\u4e5f\u5728\u52aa\u529b\u63d0\u9ad8 AI \u5728\u5f62\u5f0f\u5316\u5b9a\u7406\u8bc1\u660e\u4e2d\u7684\u6027\u80fd\u548c\u6548\u7387\uff0c\u6bd4\u5982 DeepSeek \u521a\u521a\u63a8\u51fa\u7684\u65b0\u6a21\u578b \u2014\u2014DeepSeek-Prover-V1.5\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/08\/frc-3e1f0a399d2bbae73114cc8a390fc8a9.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/08\/frc-3e1f0a399d2bbae73114cc8a390fc8a9.png\"><\/a><\/section>\n<section>DeepSeek-Prover-V1.5 \u662f\u4e00\u4e2a 70 \u4ebf\u53c2\u6570\u7684\u5f00\u6e90\u6a21\u578b\u3002\u5b83\u901a\u8fc7\u7ed3\u5408\u5f3a\u5316\u5b66\u4e60\uff08\u57fa\u4e8e\u8bc1\u660e\u52a9\u624b\u53cd\u9988\u7684\u5f3a\u5316\u5b66\u4e60\uff0cRLPAF\uff09\u548c\u8499\u7279\u5361\u6d1b\u6811\u641c\u7d22\uff08\u7279\u522b\u662f\u63d0\u51fa\u7684 RMaxTS \u53d8\u4f53\uff09\uff0c\u663e\u8457\u63d0\u5347\u4e86\u8bc1\u660e\u751f\u6210\u7684\u6548\u7387\u548c\u51c6\u786e\u6027\u3002DeepSeek-Prover-V1.5 \u5728 Lean 4 \u7684\u5f62\u5f0f\u5b9a\u7406\u8bc1\u660e\u65b9\u9762\u4f18\u4e8e\u6240\u6709\u5f00\u6e90\u6a21\u578b\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/08\/frc-576c8b15adf7eb5b08795ec3924d95aa.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/08\/frc-576c8b15adf7eb5b08795ec3924d95aa.png\"><\/a><\/section>\n<section>\u4ee5\u4e0b\u662f\u6280\u672f\u62a5\u544a\u7684\u8be6\u7ec6\u5185\u5bb9\u3002<\/section>\n<section><\/section>\n<section><strong>\u6280\u672f\u62a5\u544a\u6982\u8ff0<\/strong><\/section>\n<section><strong><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/08\/frc-52d2620bcff9badea8562925e3ae7d4a.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/08\/frc-52d2620bcff9badea8562925e3ae7d4a.png\"><\/a><\/strong><\/section>\n<ul>\n<li>\n<section>\u62a5\u544a\u6807\u9898\uff1aDeepSeek-Prover-V1.5: Harnessing Proof Assistant Feedback for Reinforcement Learning and Monte-Carlo Tree Search<\/section>\n<\/li>\n<li>\n<section>\u62a5\u544a\u94fe\u63a5\uff1ahttps:\/\/arxiv.org\/pdf\/2408.08152<\/section>\n<\/li>\n<li>\n<section>GitHub \u94fe\u63a5\uff1ahttps:\/\/github.com\/deepseek-ai\/DeepSeek-Prover-V1.5<\/section>\n<\/li>\n<\/ul>\n<section><\/section>\n<section>\u8fd1\u5e74\u6765\uff0c\u5728\u5927\u578b\u8bed\u8a00\u6a21\u578b\u9886\u57df\u53d6\u5f97\u7684\u8fdb\u5c55\u6781\u5927\u5730\u63a8\u52a8\u4e86\u4eba\u5de5\u667a\u80fd\u5728\u6570\u5b66\u63a8\u7406\u548c\u5b9a\u7406\u8bc1\u660e\u65b9\u9762\u7684\u53d1\u5c55\u3002\u4f46\u8bed\u8a00\u6a21\u578b\u5728\u5f62\u5f0f\u5316\u5b9a\u7406\u8bc1\u660e\u65b9\u9762\u4ecd\u9762\u4e34\u91cd\u5927\u6311\u6218\u3002\u4f8b\u5982\uff0c\u4f7f\u7528 Lean \u548c Isabelle \u8fd9\u7c7b\u7cfb\u7edf\u8fdb\u884c\u8bc1\u660e\u65f6\uff0c\u9700\u8981\u8fdb\u884c\u4e25\u683c\u7684\u63a8\u5bfc\uff0c\u4ee5\u6ee1\u8db3\u9a8c\u8bc1\u7cfb\u7edf\u7684\u5f62\u5f0f\u89c4\u8303\u3002\u5373\u4fbf\u662f\u50cf GPT-4 \u8fd9\u6837\u7684\u5148\u8fdb\u6a21\u578b\uff0c\u5728\u5904\u7406\u590d\u6742\u7684\u5f62\u5f0f\u8bc1\u660e\u65f6\u4e5f\u663e\u5f97\u529b\u4e0d\u4ece\u5fc3\uff0c\u8fd9\u51f8\u663e\u4e86\u5f62\u5f0f\u5316\u8bc1\u660e\u4e2d\u7f16\u7801\u548c\u6570\u5b66\u63a8\u7406\u7684\u590d\u6742\u6027\u3002\u4e00\u4e2a\u9ad8\u6548\u7684\u5f62\u5f0f\u5316\u5b9a\u7406\u8bc1\u660e\u6a21\u578b\u4e0d\u4ec5\u9700\u8981\u7406\u89e3 Lean \u8bc1\u660e\u52a9\u624b\u7b49\u5f62\u5f0f\u5316\u7cfb\u7edf\u7684\u8bed\u6cd5\u548c\u8bed\u4e49\uff0c\u8fd8\u9700\u8981\u5c06\u62bd\u8c61\u7684\u6570\u5b66\u63a8\u7406\u4e0e\u7cbe\u786e\u7684\u5f62\u5f0f\u5316\u8868\u8fbe\u65b9\u5f0f\u76f8\u7ed3\u5408\u3002<\/section>\n<section><\/section>\n<section>\u5728\u5f62\u5f0f\u5316\u5b9a\u7406\u8bc1\u660e\u4e2d\uff0c\u8bed\u8a00\u6a21\u578b\u901a\u5e38\u91c7\u7528\u4e24\u79cd\u7b56\u7565\uff1a\u8bc1\u660e\u6b65\u9aa4\u751f\u6210\uff08proof-step generation\uff09\u548c\u5b8c\u6574\u8bc1\u660e\u751f\u6210\uff08whole-proof generation\uff09\u3002<\/section>\n<section><\/section>\n<section>\u8bc1\u660e\u6b65\u9aa4\u751f\u6210\u901a\u8fc7\u9884\u6d4b\u5e76\u9a8c\u8bc1\u6bcf\u4e00\u4e2a\u7b56\u7565\uff0c\u5229\u7528\u5f62\u5f0f\u5316\u9a8c\u8bc1\u5668\u83b7\u53d6\u5f53\u524d\u7b56\u7565\u72b6\u6001\u7684\u66f4\u65b0\u4fe1\u606f\uff0c\u5e76\u5e38\u7ed3\u5408\u6811\u641c\u7d22\u6280\u672f\u6765\u6784\u5efa\u6709\u6548\u7684\u8bc1\u660e\u3002\u800c\u5b8c\u6574\u8bc1\u660e\u751f\u6210\u5219\u5728\u8ba1\u7b97\u4e0a\u66f4\u4e3a\u9ad8\u6548\uff0c\u5b83\u57fa\u4e8e\u5b9a\u7406\u9648\u8ff0\u4e00\u6b21\u6027\u751f\u6210\u6574\u4e2a\u8bc1\u660e\u4ee3\u7801\uff0c\u51cf\u5c11\u4e86\u8bc1\u660e\u6a21\u578b\u4e0e\u5f62\u5f0f\u5316\u5b9a\u7406\u9a8c\u8bc1\u5668\u4e4b\u95f4\u534f\u8c03\u6240\u9700\u7684\u901a\u4fe1\u91cf\u3002<\/section>\n<section><\/section>\n<section>\u5c3d\u7ba1 DeepSeek-Prover-V1 \u5728 Lean 4 \u4e2d\u901a\u8fc7\u5b8c\u6574\u8bc1\u660e\u751f\u6210\u53d6\u5f97\u4e86\u00a0SOTA \u6210\u679c\uff0c\u4f46\u8fd9\u79cd\u65b9\u6cd5\u4e5f\u6709\u5176\u72ec\u7279\u7684\u6311\u6218\u3002\u5b83\u9700\u8981\u5728\u6ca1\u6709\u4e2d\u95f4\u7b56\u7565\u72b6\u6001\u4fe1\u606f\u7684\u60c5\u51b5\u4e0b\u8fdb\u884c\u957f\u671f\u5e8f\u5217\u9884\u6d4b\uff0c\u800c\u672a\u6765\u7684\u7b56\u7565\u4f9d\u8d56\u4e8e\u8fd9\u4e9b\u9690\u85cf\u7684\u7ed3\u679c\u3002\u5728 Lean \u7684\u7b56\u7565\u6a21\u5f0f\u4e2d\uff0c\u8bc1\u660e\u662f\u901a\u8fc7\u4e00\u7cfb\u5217\u6539\u53d8\u8bc1\u660e\u72b6\u6001\u7684\u7b56\u7565\u6765\u6784\u5efa\u7684\u3002\u8fd9\u79cd\u987a\u5e8f\u6027\u53ef\u80fd\u5bfc\u81f4\u9519\u8bef\u7d2f\u79ef\uff0c\u4e00\u4e2a\u5c0f\u7684\u8bef\u5dee\u5c31\u53ef\u80fd\u4f7f\u8bc1\u660e\u504f\u79bb\u6b63\u786e\u7684\u8def\u5f84\u3002\u5177\u4f53\u6765\u8bf4\uff0c\u81ea\u56de\u5f52\u6a21\u578b\u5728\u751f\u6210\u957f\u8bc1\u660e\u65f6\u53ef\u80fd\u4f1a\u5bf9\u4e2d\u95f4\u7b56\u7565\u72b6\u6001\u6709\u9519\u8bef\u7684\u8ba4\u8bc6\u3002<\/section>\n<section><\/section>\n<section>\u4e3a\u4e86\u5728\u4e0d\u727a\u7272\u5b8c\u6574\u8bc1\u660e\u751f\u6210\u7684\u7b80\u4fbf\u6027\u548c\u8ba1\u7b97\u6548\u7387\u7684\u540c\u65f6\uff0c\u65e0\u7f1d\u5730\u6574\u5408\u4e2d\u95f4\u7b56\u7565\u72b6\u6001\uff0c\u7814\u7a76\u8005\u5728 DeepSeek-Prover-V1.5 \u4e2d\u5f00\u53d1\u4e86\u4e00\u79cd\u7edf\u4e00\u65b9\u6cd5\u3002\u8fd9\u79cd\u65b9\u6cd5\u901a\u8fc7\u622a\u65ad\u548c\u91cd\u65b0\u5f00\u59cb\uff08truncate-and-resume\uff09\u673a\u5236\uff0c\u7ed3\u5408\u4e86\u8bc1\u660e\u6b65\u9aa4\u751f\u6210\u548c\u5b8c\u6574\u8bc1\u660e\u751f\u6210\u7684\u4f18\u52bf\u3002<\/section>\n<section><\/section>\n<section>\u8be5\u8fc7\u7a0b\u4ece\u6807\u51c6\u7684\u5b8c\u6574\u8bc1\u660e\u751f\u6210\u5f00\u59cb\uff0c\u8bed\u8a00\u6a21\u578b\u6839\u636e\u5b9a\u7406\u9648\u8ff0\u524d\u7f00\u5b8c\u6210\u8bc1\u660e\u4ee3\u7801\uff0c\u7136\u540e\u7531 Lean \u8bc1\u660e\u5668\u8fdb\u884c\u9a8c\u8bc1\u3002\u5982\u679c\u8bc1\u660e\u6b63\u786e\u65e0\u8bef\uff0c\u6d41\u7a0b\u5c31\u6b64\u7ed3\u675f\u3002\u5982\u679c\u53d1\u73b0\u9519\u8bef\uff0c\u5c31\u4ece\u7b2c\u4e00\u4e2a\u9519\u8bef\u4fe1\u606f\u5904\u622a\u65ad\u4ee3\u7801\uff0c\u5e76\u4e22\u5f03\u540e\u7eed\u4ee3\u7801\u3002\u7136\u540e\uff0c\u4f7f\u7528\u6210\u529f\u751f\u6210\u7684\u8bc1\u660e\u4ee3\u7801\u4f5c\u4e3a\u63d0\u793a\uff0c\u751f\u6210\u4e0b\u4e00\u4e2a\u8bc1\u660e\u6bb5\u3002<\/section>\n<section><\/section>\n<section>\u4e3a\u4e86\u63d0\u9ad8\u6a21\u578b\u65b0\u5b8c\u6210\u90e8\u5206\u7684\u51c6\u786e\u6027\uff0c\u7814\u7a76\u8005\u5728\u63d0\u793a\u7684\u672b\u5c3e\u6dfb\u52a0\u4e86 Lean 4 \u8bc1\u660e\u5668\u7684\u6700\u65b0\u72b6\u6001\u4f5c\u4e3a\u6ce8\u91ca\u3002\u503c\u5f97\u6ce8\u610f\u7684\u662f\uff0c\u8be5\u65b9\u6cd5\u5e76\u4e0d\u5c40\u9650\u4e8e\u4ece\u4e0a\u6b21\u6210\u529f\u5e94\u7528\u7684\u7b56\u7565\u4e2d\u91cd\u65b0\u5f00\u59cb\u3002\u7814\u7a76\u8005\u5c06\u622a\u65ad\u548c\u91cd\u65b0\u5f00\u59cb\u673a\u5236\u96c6\u6210\u5230\u4e86\u8499\u7279\u5361\u6d1b\u6811\u641c\u7d22\uff08MCTS\uff09\u4e2d\uff0c\u7531\u6811\u641c\u7d22\u7b56\u7565\u6765\u5b89\u6392\u622a\u65ad\u70b9\u3002\u6b64\u5916\uff0c\u4ed6\u4eec\u63d0\u51fa\u4e86\u4e00\u79cd\u65b0\u7684\u65e0\u5956\u52b1\uff08reward-free\uff09\u63a2\u7d22\u7b97\u6cd5\uff0c\u7528\u4e8e\u89e3\u51b3\u8bc1\u660e\u641c\u7d22\u4e2d\u7684\u5956\u52b1\u7a00\u758f\u95ee\u9898\u3002\u4ed6\u4eec\u8d4b\u4e88\u6811\u641c\u7d22\u667a\u80fd\u4f53\u5185\u5728\u7684\u9a71\u52a8\u529b\uff0c\u4e5f\u5c31\u662f\u597d\u5947\u5fc3\uff0c\u4ee5\u5e7f\u6cdb\u63a2\u7d22\u7b56\u7565\u72b6\u6001\u7a7a\u95f4\u3002\u8fd9\u4e9b\u7b97\u6cd5\u6a21\u5757\u6269\u5c55\u4e86\u4ed6\u4eec\u7684\u5b8c\u6574\u8bc1\u660e\u751f\u6210\u6a21\u578b\uff0c\u4f7f\u5176\u6210\u4e3a\u4e00\u4e2a\u7075\u6d3b\u7684\u4ea4\u4e92\u5f0f\u5b9a\u7406\u8bc1\u660e\u5de5\u5177\uff0c\u80fd\u591f\u6709\u6548\u5229\u7528\u8bc1\u660e\u52a9\u624b\u7684\u53cd\u9988\uff0c\u751f\u6210\u591a\u6837\u5316\u7684\u89e3\u51b3\u65b9\u6848\u3002<\/section>\n<section><\/section>\n<section><strong>\u6838\u5fc3\u8d21\u732e<\/strong><\/section>\n<section><\/section>\n<section>\u7814\u7a76\u8005\u63d0\u51fa\u4e86\u4e00\u4e2a\u5168\u9762\u7684\u6846\u67b6\uff0c\u7528\u4e8e\u5f00\u53d1\u57fa\u4e8e\u8bed\u8a00\u6a21\u578b\u7684\u5f62\u5f0f\u5316\u6570\u5b66\u8bc1\u660e\u5de5\u5177\uff0c\u4ed6\u4eec\u6574\u5408\u4e86\u51e0\u4e2a\u5173\u952e\u7ec4\u4ef6\uff1a\u5927\u89c4\u6a21\u6570\u5b66\u9884\u8bad\u7ec3\u3001\u5f62\u5f0f\u5316\u6570\u5b66\u8bed\u6599\u5e93\u7684\u6784\u5efa\u548c\u589e\u5f3a\u3001\u57fa\u4e8e\u8bc1\u660e\u52a9\u624b\u53cd\u9988\u7684\u5728\u7ebf\u5f3a\u5316\u5b66\u4e60\uff0c\u4ee5\u53ca\u7528\u4e8e\u5b9a\u7406\u8bc1\u660e\u957f\u671f\u89c4\u5212\u7684\u6811\u641c\u7d22\u65b9\u6cd5\u8bba\u3002\u9884\u8bad\u7ec3\u6a21\u578b\u3001\u76d1\u7763\u5fae\u8c03\u6a21\u578b\u3001\u5f3a\u5316\u5b66\u4e60\u6a21\u578b\u4ee5\u53ca\u8499\u7279\u5361\u6d1b\u6811\u641c\u7d22\u7b97\u6cd5\u7684\u4ee3\u7801\u90fd\u516c\u5f00\u63d0\u4f9b\uff0c\u4ee5\u4f9b\u8fdb\u4e00\u6b65\u7814\u7a76\u548c\u5e94\u7528\u3002<\/section>\n<section><\/section>\n<section>1\u3001\u9884\u8bad\u7ec3<\/section>\n<section><\/section>\n<section>\u7814\u7a76\u8005\u901a\u8fc7\u8fdb\u4e00\u6b65\u5728\u9ad8\u8d28\u91cf\u6570\u5b66\u548c\u4ee3\u7801\u6570\u636e\u4e0a\u9884\u8bad\u7ec3\uff0c\u589e\u5f3a\u4e86\u57fa\u7840\u6a21\u578b\u5728\u5f62\u5f0f\u5316\u5b9a\u7406\u8bc1\u660e\u548c\u6570\u5b66\u63a8\u7406\u65b9\u9762\u7684\u80fd\u529b\uff0c\u91cd\u70b9\u5173\u6ce8 Lean\u3001Isabelle \u548c Metamath \u7b49\u5e7f\u6cdb\u7528\u4e8e\u8bc1\u660e\u52a9\u624b\u7684\u5f62\u5f0f\u8bed\u8a00\u3002<\/section>\n<section><\/section>\n<section>2\u3001\u76d1\u7763\u5fae\u8c03<\/section>\n<section><\/section>\n<section>\u7814\u7a76\u8005\u901a\u8fc7\u5b9e\u73b0\u4e24\u79cd\u6570\u636e\u589e\u5f3a\u6280\u672f\uff0c\u6539\u8fdb\u4e86 Lean 4 \u4ee3\u7801\u8865\u5168\u6570\u636e\u96c6\u3002\u9996\u5148\uff0c\u4ed6\u4eec\u4f7f\u7528 DeepSeek-Coder V2 236B \u5728 Lean 4 \u4ee3\u7801\u65c1\u6ce8\u91ca\u00a0CoT\uff08chain-of-thought\uff09\u8bc4\u8bba\uff0c\u5c06\u5f62\u5f0f\u5316\u5b9a\u7406\u8bc1\u660e\u4e0e\u81ea\u7136\u8bed\u8a00\u63a8\u7406\u5bf9\u9f50\u3002\u5176\u6b21\uff0c\u4ed6\u4eec\u5728 Lean 4 \u8bc1\u660e\u4ee3\u7801\u4e2d\u63d2\u5165\u4e2d\u95f4\u7b56\u7565\u72b6\u6001\u4fe1\u606f\uff0c\u4f7f\u4ed6\u4eec\u7684\u6a21\u578b\u80fd\u591f\u66f4\u6709\u6548\u5730\u5229\u7528\u7f16\u8bd1\u5668\u53cd\u9988\u3002\u7136\u540e\uff0c\u4ed6\u4eec\u4f7f\u7528\u8fd9\u4e2a\u6570\u636e\u96c6\u5bf9\u9884\u8bad\u7ec3\u6a21\u578b\u8fdb\u884c\u5fae\u8c03\u3002<\/section>\n<section><\/section>\n<section>3\u3001\u5f3a\u5316\u5b66\u4e60<\/section>\n<section><\/section>\n<section>\u7814\u7a76\u8005\u91c7\u7528 GRPO \u7b97\u6cd5\u5bf9\u76d1\u7763\u5fae\u8c03\u6a21\u578b\u8fdb\u884c RLPAF\uff08reinforcement learning from proof assistant feedback\uff0c\u57fa\u4e8e\u8bc1\u660e\u52a9\u624b\u53cd\u9988\u7684\u5f3a\u5316\u5b66\u4e60\uff09\u3002Lean \u8bc1\u660e\u5668\u7684\u9a8c\u8bc1\u7ed3\u679c\u4f5c\u4e3a\u5956\u52b1\u76d1\u7763\uff0c\u589e\u5f3a\u4e86\u6a21\u578b\u4e0e\u9a8c\u8bc1\u7cfb\u7edf\u7684\u5f62\u5f0f\u89c4\u8303\u7684\u4e00\u81f4\u6027\u3002<\/section>\n<section><\/section>\n<section>4\u3001\u8499\u7279\u5361\u6d1b\u6811\u641c\u7d22<\/section>\n<section><\/section>\n<section>\u7814\u7a76\u8005\u901a\u8fc7\u5f15\u5165\u4e00\u79cd\u65b0\u7684\u62bd\u8c61\u548c\u76f8\u5e94\u7684\u641c\u7d22\u7b97\u6cd5\uff0c\u63a8\u8fdb\u4e86\u5f62\u5f0f\u5316\u5b9a\u7406\u8bc1\u660e\u4e2d\u7684\u6811\u641c\u7d22\u65b9\u6cd5\u3002\u4ed6\u4eec\u7684\u622a\u65ad\u548c\u91cd\u65b0\u5f00\u59cb\u673a\u5236\u4f5c\u4e3a\u72b6\u6001 &#8211; \u52a8\u4f5c\u62bd\u8c61\uff0c\u5c06\u6811\u641c\u7d22\u8fc7\u7a0b\u65e0\u7f1d\u96c6\u6210\u5230\u5b8c\u6574\u8bc1\u660e\u751f\u6210\u6846\u67b6\u4e2d\u3002\u4ed6\u4eec\u5c55\u793a\u4e86 RMaxTS\uff0c\u8fd9\u662f\u4e00\u79cd\u521b\u65b0\u7684\u8499\u7279\u5361\u6d1b\u6811\u641c\u7d22\u7b97\u6cd5\uff0c\u5229\u7528 RMax \u7b56\u7565\u6765\u89e3\u51b3\u8bc1\u660e\u641c\u7d22\u95ee\u9898\u4e2d\u7a00\u758f\u5956\u52b1\u7684\u63a2\u7d22\u6311\u6218\u3002\u901a\u8fc7\u5206\u914d\u5185\u5728\u5956\u52b1\uff0c\u8fd9\u79cd\u7b97\u6cd5\u9f13\u52b1\u8bc1\u660e\u667a\u80fd\u4f53\u751f\u6210\u591a\u6837\u5316\u7684\u89c4\u5212\u8def\u5f84\uff0c\u4ece\u800c\u4fc3\u8fdb\u5bf9\u8bc1\u660e\u7a7a\u95f4\u7684\u5e7f\u6cdb\u63a2\u7d22\u3002<\/section>\n<section><\/section>\n<section><strong>\u8bc4\u4f30\u548c\u5ea6\u91cf<\/strong><\/section>\n<section><\/section>\n<section>1\u3001\u9ad8\u4e2d\u6c34\u5e73 miniF2F \u6570\u636e\u96c6<\/section>\n<section><\/section>\n<section>\u5728\u5355\u901a\u9053\u6cd5\u5b8c\u6574\u8bc1\u660e\u751f\u6210\u8bbe\u7f6e\u4e2d\uff0cDeepSeek-Prover-V1.5 \u5728 miniF2F \u7684\u6d4b\u8bd5\u96c6\u4e0a\u8fbe\u5230\u4e86 60.2% \u7684\u901a\u8fc7\u7387\uff0c\u6bd4 DeepSeek-Prover-V1 \u7684 50.0% \u63d0\u9ad8\u4e86 10.2 \u4e2a\u767e\u5206\u70b9\u3002\u7ed3\u5408\u6811\u641c\u7d22\u6280\u672f\u540e\uff0c\u901a\u8fc7\u7387\u8fdb\u4e00\u6b65\u63d0\u5347\uff0c\u8fbe\u5230\u4e86 63.5% \u7684\u65b0 SOTA\u3002<\/section>\n<section><\/section>\n<section>2\u3001\u5927\u5b66\u672c\u79d1\u6c34\u5e73 ProofNet \u6570\u636e\u96c6<\/section>\n<section><\/section>\n<section>DeepSeek-Prover-V1.5 \u5728 ProofNet \u7684\u5355\u901a\u9053\u6cd5\u5b8c\u6574\u8bc1\u660e\u751f\u6210\u8bbe\u7f6e\u4e2d\u4e5f\u5c55\u73b0\u51fa\u5f3a\u5927\u7684\u6027\u80fd\uff0c\u5728\u9a8c\u8bc1\u96c6\u4e0a\u901a\u8fc7\u7387\u4e3a 21.6%\uff0c\u5728\u6d4b\u8bd5\u96c6\u4e0a\u4e3a 23.7%\u3002\u7ed3\u5408\u6811\u641c\u7d22\u6280\u672f\u4e4b\u540e\uff0c\u8fd9\u4e9b\u7ed3\u679c\u88ab\u8fdb\u4e00\u6b65\u589e\u5f3a\uff0c\u5728\u9a8c\u8bc1\u96c6\u4e0a\u8fbe\u5230\u4e86 25.4% \u7684\u65b0 SOTA\uff0c\u5728\u6d4b\u8bd5\u96c6\u4e0a\u8fbe\u5230\u4e86 25.3%\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/08\/frc-d6bf8c9a8e973c6df1e3079a4b5fec5b.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/08\/frc-d6bf8c9a8e973c6df1e3079a4b5fec5b.png\"><\/a><\/section>\n<section><strong>\u6a21\u578b\u8bad\u7ec3<\/strong><\/section>\n<section><\/section>\n<section>\u4e3a\u4e86\u63d0\u9ad8\u8bed\u8a00\u6a21\u578b\u751f\u6210\u5f62\u5f0f\u8bc1\u660e\u548c\u901a\u8fc7\u6570\u5b66\u8bed\u8a00\u8fdb\u884c\u63a8\u7406\u7684\u80fd\u529b\uff0c\u7814\u7a76\u8005\u5bf9\u57fa\u7840\u6a21\u578b\u8fdb\u884c\u4e86\u8fdb\u4e00\u6b65\u9884\u8bad\u7ec3\uff0c\u5e76\u5c06\u8fd9\u4e2a\u6539\u8fdb\u7684\u6a21\u578b\u547d\u540d\u4e3a DeepSeek-ProverV1.5-Base\u3002<\/section>\n<section><\/section>\n<section>\u63a5\u7740\u6587\u7ae0\u63a2\u8ba8\u4e86 DeepSeek-Prover-V1.5 \u7684\u76d1\u7763\u5fae\u8c03 (SFT) \u6240\u6d89\u53ca\u7684\u65b9\u6cd5\u548c\u6d41\u7a0b\u3002\u5177\u4f53\u6765\u8bf4\uff0c\u7814\u7a76\u8005\u901a\u8fc7\u6dfb\u52a0\u8be6\u7ec6\u7684\u89e3\u91ca\u6027\u6ce8\u91ca\u6765\u6269\u5145 DeepSeekProver-V1 \u7684\u8bc1\u660e\u6570\u636e\u96c6\u3002\u6b64\u589e\u5f3a\u65e8\u5728\u6539\u5584\u81ea\u7136\u8bed\u8a00\u63cf\u8ff0\u4e0e Lean 4 \u4ee3\u7801\u4e4b\u95f4\u7684\u4e00\u81f4\u6027\uff0c\u4ece\u800c\u4fc3\u8fdb\u66f4\u597d\u7684\u5f62\u5f0f\u6570\u5b66\u63a8\u7406\u3002\u6b64\u5916\uff0c\u7814\u7a76\u8005\u5c06\u4e2d\u95f4\u7b56\u7565\u72b6\u6001\u4fe1\u606f\u4f5c\u4e3a\u8f85\u52a9\u9884\u6d4b\u4efb\u52a1\u7eb3\u5165\u5176\u4e2d\uff0c\u4ee5\u652f\u6301\u8499\u7279\u5361\u6d1b\u6811\u641c\u7d22\u8fc7\u7a0b\u4e2d\u4f7f\u7528\u7684\u622a\u65ad\u548c\u91cd\u65b0\u5f00\u59cb\u673a\u5236\uff0c\u5e76\u5c06\u751f\u6210\u7684\u6a21\u578b\u79f0\u4e3a DeepSeek-ProverV1.5-SFT\u3002<\/section>\n<section><\/section>\n<section><strong>\u57fa\u4e8e\u8bc1\u660e\u52a9\u624b\u53cd\u9988\u7684\u5f3a\u5316\u5b66\u4e60<\/strong><\/section>\n<section><\/section>\n<section>\u4e3a\u4e86\u8fdb\u4e00\u6b65\u63d0\u9ad8 DeepSeek-Prover-V1.5-SFT \u7684\u6027\u80fd\uff0c\u8be5\u7814\u7a76\u5f15\u5165\u4e86\u4e00\u4e2a\u5f3a\u5316\u5b66\u4e60\u9636\u6bb5\uff0c\u4ece\u800c\u5f97\u5230\u4e86 DeepSeek-Prover-V1.5-RL \u6a21\u578b\u3002\u8fd9\u4e00\u9636\u6bb5\u5229\u7528\u5f3a\u5316\u5b66\u4e60\uff08RL\uff09\u6839\u636e Lean 4 \u8bc1\u660e\u5668\u7684\u9a8c\u8bc1\u53cd\u9988\u6765\u63d0\u5347\u6027\u80fd\u3002\u4ee5\u4e0b\u662f\u8be5 RL \u8fc7\u7a0b\u7684\u5177\u4f53\u7ec6\u8282\u3002<\/section>\n<section><\/section>\n<section>\u8bad\u7ec3\u63d0\u793a\u3002\u5728\u5f3a\u5316\u5b66\u4e60\u9636\u6bb5\uff0c\u8be5\u7814\u7a76\u4f7f\u7528\u6765\u81ea\u76d1\u7763\u5fae\u8c03\u6570\u636e\u96c6\u7684\u90e8\u5206\u5b9a\u7406\u9648\u8ff0\u4f5c\u4e3a\u8bad\u7ec3\u63d0\u793a\u3002\u7ecf\u8fc7\u7b5b\u9009\u4fdd\u7559\u4e86\u5927\u7ea6 4,500 \u4e2a\u72ec\u7279\u7684\u5b9a\u7406\u9648\u8ff0\u3002\u6bcf\u4e2a\u5b9a\u7406\u90fd\u5e26\u6709 CoT \u548c\u975e CoT \u5f15\u5bfc\u63d0\u793a\uff0c\u4ee5\u589e\u5f3a\u6a21\u578b\u5728\u8fd9\u4e24\u79cd\u6a21\u5f0f\u4e0b\u7684\u8bc1\u660e\u751f\u6210\u80fd\u529b\u3002\u00a0<\/section>\n<section><\/section>\n<section>\u5956\u52b1\u3002\u5f53\u901a\u8fc7 RL \u8bad\u7ec3 LLM \u65f6\uff0c\u8bad\u7ec3\u597d\u7684\u5956\u52b1\u6a21\u578b\u901a\u5e38\u4f1a\u63d0\u4f9b\u53cd\u9988\u4fe1\u53f7\u3002\u76f8\u6bd4\u4e4b\u4e0b\uff0c\u5f62\u5f0f\u5316\u5b9a\u7406\u8bc1\u660e\u53d7\u76ca\u4e8e\u8bc1\u660e\u52a9\u624b\u5bf9\u751f\u6210\u7684\u8bc1\u660e\u7684\u4e25\u683c\u9a8c\u8bc1\uff0c\u4ece\u800c\u63d0\u4f9b\u4e86\u663e\u8457\u7684\u4f18\u52bf\u3002\u5177\u4f53\u6765\u8bf4\uff0c\u5982\u679c\u9a8c\u8bc1\u6b63\u786e\uff0c\u5219\u6bcf\u4e2a\u751f\u6210\u7684\u8bc1\u660e\u5c06\u83b7\u5f97 1 \u7684\u5956\u52b1\uff0c\u5426\u5219\u5c06\u83b7\u5f97 0 \u7684\u5956\u52b1\u3002\u867d\u7136\u8fd9\u79cd\u4e8c\u5143\u5956\u52b1\u4fe1\u53f7\u662f\u51c6\u786e\u7684\uff0c\u4f46\u5b83\u4e5f\u5f88\u7a00\u758f\uff0c\u5c24\u5176\u662f\u5bf9\u4e8e\u90a3\u4e9b\u5bf9\u76d1\u7763\u5fae\u8c03\u6a21\u578b\u5177\u6709\u6311\u6218\u6027\u7684\u5b9a\u7406\u800c\u8a00\u3002\u4e3a\u4e86\u7f13\u89e3\u8fd9\u79cd\u7a00\u758f\u6027\uff0c\u7814\u7a76\u8005\u9009\u62e9\u4e86\u5bf9\u76d1\u7763\u5fae\u8c03\u6a21\u578b\u5177\u6709\u6311\u6218\u6027\u4f46\u53ef\u5b9e\u73b0\u7684\u8bad\u7ec3\u63d0\u793a\uff0c\u5982\u4e0a\u6240\u8ff0\u3002<\/section>\n<section><\/section>\n<section>\u5f3a\u5316\u5b66\u4e60\u7b97\u6cd5\u3002\u8be5\u7814\u7a76\u91c7\u7528\u7ec4\u76f8\u5bf9\u7b56\u7565\u4f18\u5316\uff08GRPO\uff09\u4f5c\u4e3a\u672c\u6587\u7684 RL \u7b97\u6cd5\uff0c\u4e0e PPO \u76f8\u6bd4\uff0c\u8be5\u7b97\u6cd5\u663e\u793a\u51fa\u66f4\u9ad8\u7684\u6709\u6548\u6027\u548c\u6548\u7387\u3002\u5177\u4f53\u800c\u8a00\uff0cGRPO \u4e3a\u6bcf\u4e2a\u5b9a\u7406\u63d0\u793a\u62bd\u53d6\u4e00\u7ec4\u5019\u9009\u8bc1\u660e\uff0c\u5e76\u6839\u636e\u7ec4\u5185\u8f93\u51fa\u7684\u76f8\u5bf9\u5956\u52b1\u4f18\u5316\u6a21\u578b\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/08\/frc-56e78679495a932dc56664d8272f4503.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/08\/frc-56e78679495a932dc56664d8272f4503.png\"><\/a><\/section>\n<section>\u8bc4\u4f30\u3002\u56fe 3 \u7ed9\u51fa\u4e86 miniF2F \u548c ProofNet \u6570\u636e\u96c6\u4e0a\u6bcf\u4e2a\u8bad\u7ec3\u9636\u6bb5\u7684\u6bd4\u8f83\u5206\u6790\u3002\u5728\u5927\u591a\u6570\u8bbe\u7f6e\u4e2d\uff0cCoT \u6a21\u5f0f\u59cb\u7ec8\u4f18\u4e8e\u975e CoT \u6a21\u5f0f\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/08\/frc-5b72e7f1c728442c33d2995f3f2c8e46.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/08\/frc-5b72e7f1c728442c33d2995f3f2c8e46.png\"><\/a><\/section>\n<section><strong>\u9762\u5411\u63a2\u7d22\u7684\u8499\u7279\u5361\u6d1b\u6811\u641c\u7d22<\/strong><\/section>\n<section><\/section>\n<section>\u4e3a\u4e86\u5728\u6574\u4f53\u8bc1\u660e\u751f\u6210\u8bbe\u7f6e\u4e2d\u5b9e\u73b0\u6811\u641c\u7d22\u65b9\u6cd5\uff0c\u8be5\u7814\u7a76\u5f15\u5165\u4e86\u8bc1\u660e\u6811\u62bd\u8c61\u6765\u5b9a\u4e49\u5b9a\u5236\u7684\u72b6\u6001\u548c\u52a8\u4f5c\u7a7a\u95f4\uff0c\u5e76\u5229\u7528\u4e86\u622a\u65ad\u548c\u91cd\u65b0\u5f00\u59cb\u673a\u5236\u3002\u7814\u7a76\u8005\u9996\u5148\u5c06\u4e0d\u5b8c\u6574\u7684\u8bc1\u660e\u5206\u89e3\u4e3a\u4e0e\u5404\u4e2a\u8bc1\u660e\u6b65\u9aa4\u76f8\u5bf9\u5e94\u7684\u6811\u8282\u70b9\u5e8f\u5217\uff0c\u7136\u540e\u5229\u7528\u5b58\u50a8\u5728\u8fd9\u4e9b\u6811\u8282\u70b9\u4e2d\u7684\u90e8\u5206\u5185\u5bb9\u7ee7\u7eed\u8bc1\u660e\u751f\u6210\u8fc7\u7a0b\u3002\u56fe 4 \u8bf4\u660e\u4e86\u4ece\u6574\u4f53\u8bc1\u660e\u751f\u6210\u6784\u5efa\u8bc1\u660e\u641c\u7d22\u6811\u7684\u8fc7\u7a0b\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/08\/frc-20374ab8423a3d2c4d5109c7df213fc1.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/08\/frc-20374ab8423a3d2c4d5109c7df213fc1.png\"><\/a><\/section>\n<section>\u622a\u65ad\uff1a\u8be5\u7814\u7a76\u5728\u7b56\u7565\u7ea7\u522b\u6784\u5efa\u8bc1\u660e\u641c\u7d22\u6811\uff0c\u5176\u4e2d\u6bcf\u6761\u6811\u8fb9\u4ee3\u8868\u7b56\u7565\u72b6\u6001\u7684\u5355\u4e2a\u8f6c\u6362\u6b65\u9aa4\u3002\u9996\u5148\uff0c\u8be5\u7814\u7a76\u5c06\u6a21\u578b\u751f\u6210\u7684\u6574\u4e2a\u8bc1\u660e\u63d0\u4ea4\u7ed9 Lean \u8bc1\u660e\u5668\uff0c\u5e76\u5c06\u5176\u89e3\u6790\u4e3a\u7b56\u7565\u3002\u7136\u540e\u5728\u6700\u65e9\u7684\u9a8c\u8bc1\u9519\u8bef\u5904\u622a\u65ad\u8bc1\u660e\uff0c\u786e\u4fdd\u6240\u6709\u540e\u7eed\u7b56\u7565\u4ee3\u7801\u90fd\u53ef\u4ee5\u6210\u529f\u5e94\u7528\uff0c\u4ee5\u5c06\u8bc1\u660e\u63a8\u8fdb\u5230\u6240\u9700\u7684\u5b9a\u7406\u3002\u7b56\u7565\u4ee3\u7801\u88ab\u5206\u5272\u6210\u51e0\u4e2a\u4ee3\u7801\u7247\u6bb5\uff0c\u6bcf\u4e2a\u4ee3\u7801\u7247\u6bb5\u5305\u542b\u4e00\u4e2a\u6709\u6548\u7684\u7b56\u7565\u4ee3\u7801\u53ca\u5176\u76f8\u5173\u7684\u601d\u7ef4\u94fe\u6ce8\u91ca\uff0c\u5bf9\u5e94\u4e8e\u4ee3\u8868\u7b56\u7565\u72b6\u6001\u8f6c\u6362\u7684\u5355\u4e2a\u6811\u8fb9\u3002\u901a\u8fc7\u8fd9\u79cd\u62bd\u8c61\uff0c\u6bcf\u4e2a\u7b56\u7565\u4ee3\u7801\u88ab\u8f6c\u6362\u4e3a\u4e00\u7cfb\u5217\u6811\u8282\u70b9\uff0c\u5f62\u6210\u4ece\u6839\u5230\u7279\u5b9a\u8282\u70b9\u7684\u8def\u5f84\u3002<\/section>\n<section><\/section>\n<section>\u91cd\u65b0\u5f00\u59cb\uff1a\u5728 Lean 4 \u4e2d\uff0c\u4e0d\u540c\u7684\u7b56\u7565\u53ef\u4ee5\u5bfc\u81f4\u76f8\u540c\u7684\u7b56\u7565\u72b6\u6001\uff0c\u8fd9\u610f\u5473\u7740\u8bc1\u660e\u6811\u4e2d\u7684\u6bcf\u4e2a\u8282\u70b9\u53ef\u80fd\u5bf9\u5e94\u591a\u79cd\u80fd\u591f\u5b9e\u73b0\u76f8\u540c\u7ed3\u679c\u7684\u7b56\u7565\u4ee3\u7801\u3002\u4e3a\u4e86\u89e3\u51b3\u8fd9\u4e2a\u95ee\u9898\uff0c\u7814\u7a76\u8005\u5728\u6bcf\u4e2a\u8282\u70b9\u5b58\u50a8\u4e00\u7ec4\u8fd9\u4e9b\u7b49\u6548\u7684\u7b56\u7565\u4ee3\u7801\u3002\u5f53\u6811\u641c\u7d22\u667a\u80fd\u4f53\u5c55\u5f00\u4e00\u4e2a\u8282\u70b9\u65f6\uff0c\u5b83\u4f1a\u968f\u673a\u9009\u62e9\u4e00\u4e2a\u7b56\u7565\u4f5c\u4e3a\u8bed\u8a00\u6a21\u578b\u7684\u63d0\u793a\u3002<\/section>\n<section><\/section>\n<section><strong>\u8499\u7279\u5361\u6d1b\u6811\u641c\u7d22\u7684\u5185\u5728\u5956\u52b1<\/strong><\/section>\n<section><\/section>\n<section>\u63a5\u4e0b\u6765\u6587\u7ae0\u4ecb\u7ecd\u4e86\u5185\u5728\u5956\u52b1\u9a71\u52a8\u7684\u63a2\u7d22\u7b97\u6cd5 \u2014\u2014 \u5e94\u7528\u4e8e\u6811\u641c\u7d22\u7684 RMax\uff08RMax applied to Tree Search\uff0cRMaxTS\uff09\uff0c\u5c06\u65e0\u5956\u52b1\u63a2\u7d22\u7eb3\u5165\u8bc1\u660e\u641c\u7d22\u95ee\u9898\u3002<\/section>\n<section><\/section>\n<section>RMax \u5e94\u7528\u4e8e MCTS\u3002\u8be5\u7814\u7a76\u91c7\u7528 RMax \u8fd9\u4e00\u7ecf\u5178\u63a2\u7d22\u673a\u5236\u6765\u6784\u5efa\u8499\u7279\u5361\u6d1b\u6811\u641c\u7d22\u7684\u5185\u5728\u5956\u52b1\u3002\u5728\u8bc1\u660e\u641c\u7d22\u7684\u4e0a\u4e0b\u6587\u4e2d\uff0c\u8bc1\u660e\u5b8c\u6210\u4e4b\u524d\u4e0d\u63d0\u4f9b\u5916\u90e8\u5956\u52b1\uff0c\u6b64\u7b97\u6cd5\u8fc7\u7a0b\u7c7b\u4f3c\u4e8e ZeroRMax \uff0c\u5176\u4e2d\u667a\u80fd\u4f53\u7684\u63a2\u7d22\u4ec5\u7531\u5185\u5728\u5956\u52b1\u9a71\u52a8\uff0c\u5373\u8bbe\u7f6e<a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/08\/frc-f6d520a031a78538083d7da653d7c677.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/08\/frc-f6d520a031a78538083d7da653d7c677.png\"><\/a>\u3002\u6811\u6269\u5c55\u6b65\u9aa4\u7684\u5185\u5728\u5956\u52b1\u53d6\u51b3\u4e8e\u662f\u5426\u5411\u641c\u7d22\u6811\u4e2d\u6dfb\u52a0\u65b0\u8282\u70b9<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/08\/frc-7811cb2161d84f254710d49d6c683545.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/08\/frc-7811cb2161d84f254710d49d6c683545.png\"><\/a><\/section>\n<section>\u8fd9\u79cd\u542f\u53d1\u5f0f\u65b9\u6cd5\u53ef\u4ee5\u6f5c\u5728\u5730\u51cf\u5c11\u5197\u4f59\u751f\u6210\u5e76\u63d0\u9ad8\u6837\u672c\u6548\u7387\u3002<\/section>\n<section><\/section>\n<section><strong>\u5b9e\u9a8c\u7ed3\u679c<\/strong><\/section>\n<section><\/section>\n<section>\u5728\u672c\u8282\u4e2d\uff0c\u7814\u7a76\u8005\u4f7f\u7528 miniF2F \u548c ProofNet \u8fd9\u4e24\u4e2a\u57fa\u51c6\u6765\u8bc4\u4f30 DeepSeek-Prover-V1.5 \u7684\u5b9a\u7406\u8bc1\u660e\u80fd\u529b\u3002\u524d\u8005\u5305\u62ec\u9ad8\u4e2d\u6c34\u5e73\u7684\u7ec3\u4e60\u548c\u7ade\u8d5b\u95ee\u9898\uff0c\u540e\u8005\u5219\u6d89\u53ca\u672c\u79d1\u6c34\u5e73\u7684\u5b9a\u7406\u3002<\/section>\n<section><\/section>\n<section>\u4e3a\u4e86\u786e\u4fdd\u4e00\u81f4\u6027\uff0c\u7814\u7a76\u8005\u4f7f\u7528\u4e86\u4e0e\u8bc4\u4f30\u4e2d\u76f8\u540c\u7684\u8bad\u7ec3\u6a21\u578b\u548c\u63a8\u7406\u914d\u7f6e\uff0c\u5c55\u793a\u4e86\u5b8c\u6574\u8bc1\u660e\u751f\u6210\u548c\u8499\u7279\u5361\u6d1b\u6811\u641c\u7d22\u65b9\u6cd5\u7684\u7ed3\u679c\u3002<\/section>\n<section><\/section>\n<section>\u9996\u5148\uff0c\u8bba\u6587\u4ecb\u7ecd\u4e86 DeepSeek-Prover-V1.5 \u4e0e\u4e4b\u524d\u7684\u4e00\u4e9b SOTA \u6a21\u578b\u7684\u5bf9\u6bd4\u5206\u6790\uff0c\u91cd\u70b9\u5c55\u793a\u4e86\u5176\u6027\u80fd\u548c\u8fdb\u6b65\u3002<\/section>\n<section><\/section>\n<ul>\n<li>\n<section>\u901a\u7528\u6a21\u578b<\/section>\n<section><\/section>\n<\/li>\n<\/ul>\n<section>GPT-3.5 \u548c GPT-4 \u662f OpenAI \u5f00\u53d1\u7684\u9ad8\u7ea7\u751f\u6210\u5f0f AI \u6a21\u578b\uff0c\u56e0\u5176\u5728\u5305\u62ec\u4ee3\u7801\u751f\u6210\u5728\u5185\u7684\u5404\u79cd\u4efb\u52a1\u4e2d\u7684\u6709\u6548\u6027\u800c\u95fb\u540d\u3002\u5c3d\u7ba1\u8fd9\u4e9b\u6a21\u578b\u5e76\u975e\u4e13\u4e3a\u5b9a\u7406\u8bc1\u660e\u800c\u8bbe\u8ba1\uff0c\u4f46\u5176\u5e7f\u6cdb\u7684\u53c2\u6570\u8303\u56f4\u63d0\u4f9b\u4e86\u91cd\u8981\u7684\u80fd\u529b\u3002<\/section>\n<section><\/section>\n<section>COPRA \u4fc3\u8fdb\u4e86\u8fd9\u4e9b\u6a21\u578b\u5728\u5f62\u5f0f\u5b9a\u7406\u8bc1\u660e\u4e2d\u7684\u8bc4\u4f30\uff0c\u5b83\u662f\u4e00\u4e2a\u4e0a\u4e0b\u6587\u5b66\u4e60\u667a\u80fd\u4f53\uff0c\u5229\u7528\u8fd9\u4e9b\u5927\u8bed\u8a00\u6a21\u578b\u63d0\u51fa\u6218\u672f\u5e94\u7528\u3002<\/section>\n<section><\/section>\n<section>\u6b64\u5916\uff0c\u7814\u7a76\u8005\u8fd8\u8ba8\u8bba\u4e86 Llemma\uff0c\u8fd9\u662f\u4e00\u7cfb\u5217\u5728\u5e7f\u6cdb\u7684\u901a\u7528\u6570\u5b66\u8bed\u6599\u5e93\u4e0a\u8bad\u7ec3\u7684\u8bed\u8a00\u6a21\u578b\uff0c\u901a\u5e38\u7528\u4f5c\u5f62\u5f0f\u5b9a\u7406\u8bc1\u660e\u7684\u57fa\u7840\u6a21\u578b\u3002<\/section>\n<section><\/section>\n<ul>\n<li>\n<section>\u5f62\u5f0f\u5316\u6570\u5b66\u7684\u4e13\u7528\u6a21\u578b<\/section>\n<\/li>\n<\/ul>\n<section><\/section>\n<section>GPT-f \u662f\u5c06 Transformers \u5e94\u7528\u4e8e\u5b9a\u7406\u8bc1\u660e\u4efb\u52a1\u7684\u8bc1\u660e\u6b65\u9aa4\u751f\u6210\u7684\u521d\u6b65\u5c1d\u8bd5\uff0c\u5b83\u5229\u7528\u6700\u4f73\u4f18\u5148\u641c\u7d22\u6a21\u5757\u6765\u6784\u5efa\u5b8c\u6574\u7684\u8bc1\u660e\u3002\u540e\u7eed\u7684\u4e00\u4e9b\u8fdb\u5c55\u5305\u62ec ReProver\u3001LLMStep \u548c Lean-STaR\u3002<\/section>\n<section><\/section>\n<section>Hypertree Proof Search \u5229\u7528 Lean \u63a2\u7d22\u4e86\u8499\u7279\u5361\u6d1b\u6811\u641c\u7d22\u5728\u5f62\u5f0f\u5b9a\u7406\u8bc1\u660e\u4e2d\u7684\u5e94\u7528\u3002\u540c\u671f\u7684 InternLM2-Math \u548c InternLM2-StepProver \u4e5f\u8868\u73b0\u51fa\u5353\u8d8a\u7684\u6027\u80fd\u3002<\/section>\n<section><\/section>\n<section>\u7136\u540e\uff0c\u7814\u7a76\u8005\u5c06\u8fd9\u4e9b\u6a21\u578b\u4e0e DeepSeek-Prover-V1.5 \u8fdb\u884c\u4e86\u5bf9\u6bd4\u3002<\/section>\n<section><\/section>\n<section><strong>miniF2F \u4e0a\u7684\u7ed3\u679c<\/strong><\/section>\n<section><strong><br \/><\/strong><\/section>\n<section>\u8868 1 \u63d0\u4f9b\u4e86\u5404\u79cd\u5b9a\u7406\u8bc1\u660e\u65b9\u6cd5\u5728 miniF2F \u6d4b\u8bd5\u6570\u636e\u96c6\u4e0a\u7684\u5bf9\u6bd4\u5206\u6790\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/08\/frc-a1c68944dda28f534fcff6db25391f31.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/08\/frc-a1c68944dda28f534fcff6db25391f31.png\"><\/a><\/section>\n<section>\u5728\u5355\u901a\u9053\u5b8c\u6574\u8bc1\u660e\u751f\u6210\u8bbe\u7f6e\u4e2d\uff0cDeepSeekProver-V1.5-RL \u7684\u901a\u8fc7\u7387\u6700\u9ad8\uff0c\u8fbe\u5230 60.2%\uff0c\u6bd4 DeepSeek-Prover-V1 \u7684 50.0% \u63d0\u9ad8\u4e86 10.2 \u4e2a\u767e\u5206\u70b9\u3002DeepSeek-Prover-V1.5-RL \u5c06\u91c7\u6837\u9884\u7b97\u9650\u5236\u5728 128 \u6b21\u5c1d\u8bd5\uff0c\u8bc1\u660e\u4e86 51.6% \u7684\u95ee\u9898\uff0c\u660e\u663e\u4f18\u4e8e\u5176\u4ed6 whole-proof \u751f\u6210\u65b9\u6cd5\uff0c\u4e0e\u9886\u5148\u7684\u6811\u641c\u7d22\u65b9\u6cd5\u4e0d\u76f8\u4e0a\u4e0b\u3002\u5728\u6811\u641c\u7d22\u65b9\u6cd5\u7c7b\u522b\u4e2d\uff0cDeepSeek-Prover-V1.5-RL + RMaxTS \u4ee5 62.7% \u7684\u901a\u8fc7\u7387\u9065\u9065\u9886\u5148\uff0c\u786e\u7acb\u4e86\u65b0\u7684 SOTA \u6c34\u5e73\uff0c\u4e0e\u73b0\u6709\u65b9\u6cd5\u62c9\u5f00\u4e86\u5f88\u5927\u5dee\u8ddd\u3002<\/section>\n<section><\/section>\n<section>\u503c\u5f97\u6ce8\u610f\u7684\u662f\uff0cDeepSeek-Prover-V1.5-RL \u53ea\u9700\u8981 3200 \u6b21\u5b8c\u6574\u8bc1\u660e\u91c7\u6837\u5c31\u80fd\u8fbe\u5230 54.9% \u7684\u901a\u8fc7\u7387\uff0c\u8d85\u8fc7\u4e86 InternLM2-StepProver \u4e4b\u524d\u7684 SOTA \u6c34\u5e73\uff0c\u540e\u8005\u9700\u8981\u6267\u884c 64 \u00d7 3200 \u6b21\u6811\u641c\u7d22\u624d\u80fd\u8fbe\u5230 54.5% \u7684\u901a\u8fc7\u7387\u3002<\/section>\n<section><\/section>\n<section><strong>ProofNet \u4e0a\u7684\u7ed3\u679c<\/strong><\/section>\n<section><\/section>\n<section>\u8868 2 \u5217\u51fa\u4e86\u5404\u79cd\u5b9a\u7406\u8bc1\u660e\u65b9\u6cd5\u5728 ProofNet \u6570\u636e\u96c6\u4e0a\u7684\u5bf9\u6bd4\u5206\u6790\u3002DeepSeek-Prover-V1.5-RL \u5728\u6574\u4e2a ProofNet \u6570\u636e\u96c6\u4e0a\u7684\u901a\u8fc7\u7387\u5206\u522b\u8fbe\u5230\u4e86 22.6% \u548c 25.3%\u3002\u8fd9\u4e9b\u7ed3\u679c\u8d85\u8fc7\u4e86\u73b0\u6709\u7684 SOTA \u65b9\u6cd5 ReProver\uff0813.8%\uff09\u548c InternLM2-StepProver\uff0818.1%\uff09\u3002\u5f53\u5b8c\u6574\u8bc1\u660e\u751f\u6210\u5c1d\u8bd5\u6b21\u6570\u9650\u5236\u4e3a 3200 \u6b21\u65f6\uff0cDeepSeek-Prover-V1.5 \u4e5f\u8bc1\u660e\u4e86 21.7% \u7684\u5b9a\u7406\uff0c\u6bd4\u4e4b\u524d\u6700\u5148\u8fdb\u7684 InternLM2-StepProver \u63d0\u9ad8\u4e86 3.6%\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/08\/frc-e5e1f00c5ea6ac2d0e808f7f60c94e55.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/08\/frc-e5e1f00c5ea6ac2d0e808f7f60c94e55.png\"><\/a><\/section>\n<section><strong>\u91cd\u65b0\u5ba1\u89c6\u8bad\u7ec3\u7b56\u7565\u5728\u5927\u89c4\u6a21\u91c7\u6837\u4e2d\u7684\u6548\u679c<\/strong><\/section>\n<section><\/section>\n<section>\u7814\u7a76\u8005\u91cd\u65b0\u5ba1\u89c6\u4e86\u591a\u4e2a\u8bad\u7ec3\u6a21\u5757\u5728\u5927\u89c4\u6a21\u91c7\u6837\u73af\u5883\u4e2d\u7684\u6548\u679c\uff0c\u91cd\u70b9\u662f\u5355\u901a\u9053\u5b8c\u6574\u8bc1\u660e\u751f\u6210\u548c\u8499\u7279\u5361\u6d1b\u6811\u641c\u7d22\u3002<\/section>\n<section><\/section>\n<section>\u8868 3 \u6bd4\u8f83\u4e86\u4e24\u79cd\u751f\u6210\u6a21\u5f0f\uff0c\u5373\u975e CoT \u548c CoT \u5728 miniF2F-test \u6570\u636e\u96c6\u4e0a\u7684\u6027\u80fd\uff0c\u8868\u660e\u968f\u7740\u6837\u672c\u9884\u7b97\u7684\u589e\u52a0\uff0cCoT \u76f8\u5bf9\u4e8e\u975e CoT \u6a21\u5f0f\u7684\u4f18\u52bf\u88ab\u653e\u5927\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/08\/frc-d0244bcf513aa97fbb2764e506f17997.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/08\/frc-d0244bcf513aa97fbb2764e506f17997.png\"><\/a><\/section>\n<section><strong>\u6d88\u878d\u5b9e\u9a8c<\/strong><\/section>\n<section><\/section>\n<section>\u5728\u6d88\u878d\u5b9e\u9a8c\u4e2d\uff0c\u7814\u7a76\u8005\u68c0\u9a8c\u4e86 RMaxTS \u7684\u7b97\u6cd5\u8bbe\u8ba1\u3002\u5b9e\u9a8c\u662f\u5728 miniF2F \u6d4b\u8bd5\u6570\u636e\u96c6\u4e0a\u4f7f\u7528 DeepSeek-Prover-V1.5-RL \u4ee5 CoT \u6a21\u5f0f\u8fdb\u884c\u7684\u3002\u5982\u56fe 5 \u6240\u793a\uff0c\u5de6\u4fa7\u663e\u793a\u4e86 6400 \u4e2a\u751f\u6210\u6837\u672c\u5185 Pass@K \u51c6\u786e\u7387\u7684\u66f2\u7ebf\uff0c\u53f3\u4fa7\u663e\u793a\u4e86\u6837\u672c\u91cf\u66f4\u5927\u65f6\u7684\u7ed3\u679c\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/08\/frc-e7e3d0b7248dd90a1f9933a2c265d360.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/08\/frc-e7e3d0b7248dd90a1f9933a2c265d360.png\"><\/a><\/section>\n<p>\u6587\u7ae0\u6765\u6e90\u4e8e\u4e92\u8054\u7f51:<a href=\"https:\/\/www.jiqizhixin.com\/articles\/2024-08-18-3\" target=\"_blank\">DeepSeek\u5f00\u6e90\u6570\u5b66\u5927\u6a21\u578b\uff0c\u9ad8\u4e2d\u3001\u5927\u5b66\u5b9a\u7406\u8bc1\u660e\u65b0SOTA<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u6587\u7ae0\u6765\u6e90\u4e8e\u4e92\u8054\u7f51:DeepSeek\u5f00\u6e90\u6570 [&hellip;]<\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"open","ping_status":"","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center 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