{"id":207,"date":"2025-12-25T14:47:27","date_gmt":"2025-12-25T06:47:27","guid":{"rendered":"https:\/\/1ow.top\/index.php\/2025\/12\/25\/%e5%ad%97%e8%8a%82seed%e5%8f%91%e5%b8%83%e6%9c%80%e5%bc%ba%e6%95%b0%e5%ad%a6%e6%a8%a1%e5%9e%8b%ef%bc%9a%e4%b8%80%e6%8b%9b%e6%89%93%e8%8d%89%e7%a8%bf%ef%bc%8cimo%e9%93%b6%e7%89%8c\/"},"modified":"2025-12-25T14:47:27","modified_gmt":"2025-12-25T06:47:27","slug":"%e5%ad%97%e8%8a%82seed%e5%8f%91%e5%b8%83%e6%9c%80%e5%bc%ba%e6%95%b0%e5%ad%a6%e6%a8%a1%e5%9e%8b%ef%bc%9a%e4%b8%80%e6%8b%9b%e6%89%93%e8%8d%89%e7%a8%bf%ef%bc%8cimo%e9%93%b6%e7%89%8c","status":"publish","type":"post","link":"https:\/\/1ow.top\/index.php\/2025\/12\/25\/%e5%ad%97%e8%8a%82seed%e5%8f%91%e5%b8%83%e6%9c%80%e5%bc%ba%e6%95%b0%e5%ad%a6%e6%a8%a1%e5%9e%8b%ef%bc%9a%e4%b8%80%e6%8b%9b%e6%89%93%e8%8d%89%e7%a8%bf%ef%bc%8cimo%e9%93%b6%e7%89%8c\/","title":{"rendered":"\u5b57\u8282Seed\u53d1\u5e03\u6700\u5f3a\u6570\u5b66\u6a21\u578b\uff1a\u4e00\u62db\u201c\u6253\u8349\u7a3f\u201d\uff0cIMO\u94f6\u724c\u53d8\u91d1\u724c"},"content":{"rendered":"
\"\u5b57\u8282Seed\u53d1\u5e03\u6700\u5f3a\u6570\u5b66\u6a21\u578b\uff1a\u4e00\u62db\u201c\u6253\u8349\u7a3f\u201d\uff0cIMO\u94f6\u724c\u53d8\u91d1\u724c\"\/<\/div><\/figure>\n
\"\u5b57\u8282Seed\u53d1\u5e03\u6700\u5f3a\u6570\u5b66\u6a21\u578b\uff1a\u4e00\u62db\u201c\u6253\u8349\u7a3f\u201d\uff0cIMO\u94f6\u724c\u53d8\u91d1\u724c\"\/<\/div><\/figure>\n
\"\u5b57\u8282Seed\u53d1\u5e03\u6700\u5f3a\u6570\u5b66\u6a21\u578b\uff1a\u4e00\u62db\u201c\u6253\u8349\u7a3f\u201d\uff0cIMO\u94f6\u724c\u53d8\u91d1\u724c\"\/<\/div><\/figure>\n
\"\u5b57\u8282Seed\u53d1\u5e03\u6700\u5f3a\u6570\u5b66\u6a21\u578b\uff1a\u4e00\u62db\u201c\u6253\u8349\u7a3f\u201d\uff0cIMO\u94f6\u724c\u53d8\u91d1\u724c\"\/<\/div><\/figure>\n

\u9c7c\u7f8a \u53d1\u81ea \u51f9\u975e\u5bfa<\/p>\n

\u5b57\u8282\u6700\u65b0\u6570\u5b66\u63a8\u7406\u4e13\u7528\u6a21\u578b\uff0c\u521a\u521a\u5237\u65b0\u6218\u7ee9\uff1a\u62ff\u4e0bIMO\u91d1\u724c\u6210\u7ee9\u3002<\/p>\n

Scaling Law\u52a0\u6301\u4e0b\uff0c\u8fd9\u4e2a\u540d\u4e3aSeed Prover 1.5\u7684\u6a21\u578b\uff0c\u572816.5\u5c0f\u65f6\u5185\uff0c\u987a\u5229\u89e3\u51b3IMO 2025\u7684\u524d5\u9053\u9898\u76ee\uff0c\u5728\u4ec5\u5931\u4e00\u9898\u7684\u60c5\u51b5\u4e0b\u62ff\u523035\u5206\uff0c\u8fbe\u5230\u4eca\u5e74IMO\u7684\u91d1\u724c\u7ebf\u3002<\/p>\n

\u8fd9\u4e00\u6210\u7ee9\u4e0e7\u6708\u5b98\u65b9\u8ba4\u8bc1\u7684IMO\u91d1\u724c\u201c\u9009\u624b\u201d\u8c37\u6b4cGemini\u6253\u5e73\u3002\u800c\u5b57\u8282\u81ea\u5df1\u7684\u524d\u4ee3\u6a21\u578b\uff0c\u5f53\u65f6\u7684\u6210\u7ee9\u662f3\u5929\u5b8c\u6210\u4e866\u9053\u9898\u76ee\u4e2d\u76844\u9053\uff0c\u4ee5\u53ca\u4e00\u9053\u9898\u7684\u90e8\u5206\u8bc1\u660e\uff0c\u8fbe\u5230\u94f6\u724c\u6210\u7ee9\u3002<\/p>\n

\u540c\u65f6\uff0cSeed Prover 1.5\u4e5f\u5728\u5317\u7f8e\u672c\u79d1\u7ea7\u522b\u6570\u5b66\u7ade\u8d5bPutnam\u8fd9\u4e00\u57fa\u51c6\u4e0a\uff0c\u5927\u5e45\u5237\u65b0\u4e86SOTA\u6210\u7ee9\u3002<\/p>\n

\u6a21\u578b\u5c1a\u672a\u5f00\u6e90\uff0c\u4f46\u6280\u672f\u62a5\u544a\u5df2\u7ecf\u516c\u5f00\u3002<\/p>\n

\u503c\u5f97\u5173\u6ce8\u7684\u662f\uff0cSeed Prover 1.5\u5f3a\u8c03\u4e86\u5927\u89c4\u6a21\u5f3a\u5316\u5b66\u4e60\u7ed9\u6570\u5b66\u6a21\u578b\u5e26\u6765\u7684\u6027\u80fd\u63d0\u5347\uff0c\u4e5f\u8bc1\u660e\uff0c\u5728\u63a8\u7406\u9636\u6bb5\u589e\u52a0\u8ba1\u7b97\u8d44\u6e90\uff0c\u53ef\u4ee5\u663e\u8457\u63d0\u9ad8\u89e3\u9898\u7387\u3002<\/p>\n

\u5373\uff0c\u9a8c\u8bc1\u4e86\u6d4b\u8bd5\u65f6Scaling\u548c\u5f3a\u5316\u5b66\u4e60\u8bad\u7ec3\u65f6\u7684Scaling\u7684\u6709\u6548\u6027\u3002<\/p>\n

\u5177\u4f53\u6765\u770b\u6280\u672f\u62a5\u544a\u3002Seed Prover 1.5\u7684\u53c2\u6570\u89c4\u6a21\u4e0eSeed 1.6\u76f8\u540c\uff0c230B\u603b\u53c2\u6570\uff0c23B\u6fc0\u6d3b\u3002<\/p>\n

\u4e3b\u8981\u521b\u65b0\u6709\u4e24\u70b9\uff1a<\/p>\n

Agentic Prover<\/p>\n

\u76f8\u8f83\u4e8e\u901a\u7528\u6a21\u578b\u7528\u81ea\u7136\u8bed\u8a00\u89e3\u7b54\u6570\u5b66\u95ee\u9898\u7684\u65b9\u5f0f\uff0c\u6570\u5b66\u63a8\u7406\u4e13\u7528\u6a21\u578b\u91c7\u7528\u7684\u662f\u5f62\u5f0f\u5316\u6570\u5b66\u63a8\u7406\uff0c\u4e5f\u5c31\u662f\u7528Lean\u7b49\u5f62\u5f0f\u8bed\u8a00\uff0c\u6784\u5efa\u53ef\u5728\u516c\u7406\u7cfb\u7edf\u4e2d\u673a\u68b0\u9a8c\u8bc1\u7684\u8bc1\u660e\uff0c\u4ee5\u786e\u4fdd\u7ed3\u679c\u66f4\u52a0\u53ef\u9760\u3002<\/p>\n

\u5176\u96be\u70b9\u5728\u4e8e\uff0c\u5f62\u5f0f\u5316\u8bc1\u660e\u6bd4\u81ea\u7136\u8bed\u8a00\u8bc1\u660e\u66f4\u52a0\u56f0\u96be\u3002\u6839\u636e\u201cDe Bruijn factor\u201d\u7ecf\u9a8c\u6cd5\u5219\uff0c\u4e00\u884c\u666e\u901a\u7684\u6570\u5b66\u63a8\u5bfc\uff0c\u901a\u5e38\u9700\u8981\u6269\u5c55\u62104\u523010\u884c\u590d\u6742\u7684\u4ee3\u7801\u3002<\/p>\n

\u8fd9\u8981\u6c42\u6a21\u578b\u4e0d\u4ec5\u61c2\u6570\u5b66\uff0c\u8fd8\u8981\u7cbe\u901a\u7f16\u7a0b\u548c\u7c7b\u578b\u8bba\uff0c\u800c\u8fd9\u4e00\u9ad8\u95e8\u69db\u5bfc\u81f4\u5f62\u5f0f\u5316\u8bc1\u660e\u5728\u6548\u7387\u548c\u6210\u529f\u7387\u4e0a\u4e00\u76f4\u8fdc\u843d\u540e\u4e8e\u81ea\u7136\u8bed\u8a00\u63a8\u7406\u3002<\/p>\n

\u4ee5\u5f80\u7684\u7814\u7a76\u4e2d\uff0c\u5f62\u5f0f\u5316\u8bc1\u660e\u5668\u901a\u5e38\u5206\u4e3a\u4e24\u7c7b\uff1a<\/p>\n

Seed Prover 1.5\u4e3a\u4e86\u5e73\u8861\u4e24\u79cd\u65b9\u6cd5\u7684\u4f18\u7f3a\u70b9\uff0c\u63d0\u51fa\u4e86\u4e00\u79cd\u5168\u65b0\u7684Agentic Prover\u67b6\u6784\uff1a<\/p>\n

\u6a21\u578b\u5c06Lean\u8bed\u8a00\u89c6\u4e3a\u4e00\u79cd\u5de5\u5177\uff0c\u4e14\u5728\u8bc1\u660e\u8fc7\u7a0b\u4e2d\u53ef\u4ee5\u81ea\u4e3b\u5730\u8c03\u7528\u5176\u4ed6\u591a\u79cd\u5de5\u5177\u3002<\/p>\n

\u8fd9\u6837\u4e00\u6765\uff0c\u6a21\u578b\u65e2\u53ef\u4ee5\u50cf\u4eba\u7c7b\u4e00\u6837\u5148\u4f7f\u7528\u201c\u8349\u7a3f\u7eb8\u201d\uff08\u81ea\u7136\u8bed\u8a00\uff09\u8fdb\u884c\u63a8\u7406\uff0c\u53c8\u80fd\u591f\u4e0eLean\u73af\u5883\u53ca\u591a\u79cd\u5de5\u5177\u8fdb\u884c\u4ea4\u4e92\uff0c\u968f\u65f6\u8c03\u7528\u5de5\u5177\u6765\u9a8c\u8bc1\u731c\u60f3\u3002<\/p>\n

\u5c31\u662f\u8bf4\uff0cSeed Prover 1.5\u91c7\u7528\u7684\u662f\u57fa\u4e8e\u5f15\u7406\u7684\u4ea4\u4e92\u65b9\u5f0f\uff0c\u65e2\u4e0d\u662f\u4e00\u6b21\u6027\u751f\u6210\u6574\u4e2a\u8bc1\u660e\uff0c\u4e5f\u65e0\u9700\u6bcf\u4e00\u6b65\u90fd\u505a\u4ea4\u4e92\u9a8c\u8bc1\u3002<\/p>\n

\u5b98\u65b9\u6280\u672f\u62a5\u544a\u4e2d\u8fd8\u63d0\u5230\uff0cSeed Prover 1.5\u8fdb\u884c\u4e86\u5927\u89c4\u6a21\u7684Agentic RL\u3002<\/p>\n

\u5b9e\u9a8c\u8bc1\u660e\uff0c\u968f\u7740\u5f3a\u5316\u5b66\u4e60\u8bad\u7ec3\u6b65\u6570\u7684\u589e\u52a0\uff0c\u6a21\u578b\u5728\u8bad\u7ec3\u96c6\u4e0a\u7684\u8bc1\u660e\u901a\u8fc7\u7387\u4ece\u521d\u59cb\u768450%\u5347\u81f3\u63a5\u8fd190%\u3002<\/p>\n

Agentic RL\u8fd8\u5e26\u6765\u4e86\u5927\u5e45\u7684\u6548\u7387\u63d0\u5347\u3002\u5728\u5bf9\u6bd4\u6d4b\u8bd5\u4e2d\uff0cSeed Prover 1.5\u4ec5\u9700\u5c11\u91cf\u7684\u8ba1\u7b97\u8d44\u6e90\uff0c\u5c31\u80fd\u5728Putnam\u548cFate\u7b49\u9ad8\u96be\u5ea6\u6570\u636e\u96c6\u4e0a\uff0c\u51fb\u8d25\u6d88\u8017\u5927\u91cf\u7b97\u529b\u7684\u4e0a\u4e00\u4ee3Seed Prover\u6a21\u578b\u3002<\/p>\n

Sketch Model<\/p>\n

\u4e3a\u4e86\u8ba9\u6a21\u578b\u80fd\u66f4\u597d\u5730\u201c\u6253\u8349\u7a3f\u201d\uff0c\u7814\u7a76\u4eba\u5458\u8fd8\u4e13\u95e8\u8bad\u7ec3\u4e86Sketch Model\uff0c\u6765\u6a21\u62df\u4eba\u7c7b\u6570\u5b66\u5bb6\u89e3\u51b3\u95ee\u9898\u7684\u65b9\u5f0f\uff1a<\/p>\n

\u6570\u5b66\u5bb6\u5728\u8bc1\u660e\u4e00\u4e2a\u590d\u6742\u5b9a\u7406\u65f6\uff0c\u901a\u5e38\u4e0d\u4f1a\u76f4\u63a5\u5199\u51fa\u6bcf\u4e00\u6b65\u4e25\u4e1d\u5408\u7f1d\u7684\u4ee3\u7801\u3002\u4ed6\u4eec\u4f1a\u5148\u5728\u7eb8\u4e0a\u5199\u4e0b\u4e00\u4e2a\u975e\u5f62\u5f0f\u5316\u7684\u8bc1\u660e\u8349\u7a3f\uff0c\u5217\u51fa\u5173\u952e\u7684\u4e2d\u95f4\u6b65\u9aa4\u3001\u5f15\u7406\u548c\u5927\u81f4\u601d\u8def\u3002<\/p>\n

Sketch Model\u540c\u6837\u4e0d\u7ea0\u7ed3\u4e8e\u5177\u4f53\u7684\u8bed\u6cd5\u7ec6\u8282\uff0c\u800c\u662f\u4e13\u6ce8\u4e8e\u903b\u8f91\u8def\u5f84\u7684\u89c4\u5212\u3002\u5b83\u53ef\u4ee5\u5c06\u81ea\u7136\u8bed\u8a00\u8bc1\u660e\u62c6\u89e3\u4e3a\u82e5\u5e72\u4e2a\u72ec\u7acb\u7684\u3001\u96be\u5ea6\u66f4\u4f4e\u7684\u5f15\u7406\uff0c\u5e76\u6682\u65f6\u8df3\u8fc7\u5177\u4f53\u8bc1\u660e\uff0c\u4ec5\u4fdd\u7559\u6574\u4f53\u7684\u903b\u8f91\u9aa8\u67b6\u3002<\/p>\n

\u8fd9\u5c31\u5c06\u539f\u672c\u4e0d\u53ef\u89e3\u7684\u590d\u6742\u547d\u9898\uff0c\u8f6c\u5316\u6210\u4e86\u96be\u5ea6\u66f4\u4f4e\u7684\u5b50\u76ee\u6807\u3002<\/p>\n

\u7814\u7a76\u4eba\u5458\u91c7\u7528\u6df7\u5408\u5956\u52b1\u4fe1\u53f7\u7684\u5f3a\u5316\u5b66\u4e60\u7b56\u7565\uff0c\u6765\u8bad\u7ec3\u8fd9\u4e00\u6a21\u578b\uff1a<\/p>\n

\u5f53\u8349\u7a3f\u5728\u5f62\u5f0f\u9a8c\u8bc1\u3001\u6570\u5b66\u6b63\u786e\u6027\u548c\u6574\u4f53\u8bc4\u5206\u4e0a\u5747\u6ee1\u8db3\u8981\u6c42\u65f6\uff0c\u624d\u4f1a\u83b7\u5f97\u6b63\u5411\u5956\u52b1\u3002<\/p>\n

\u6d4b\u8bd5\u65f6\u5de5\u4f5c\u6d41<\/p>\n

\u4ee5\u4e0a\u521b\u65b0\u6700\u7ec8\u6784\u6210\u4e86\u4e00\u4e2a\u5206\u5c42\u7ea7\u7684\u591a\u667a\u80fd\u4f53\u534f\u4f5c\u7cfb\u7edf\uff1a<\/p>\n

\u5982\u679c\u67d0\u4e2a\u5f15\u7406\u592a\u96be\u8bc1\u660e\uff0c\u7cfb\u7edf\u8fd8\u4f1a\u9012\u5f52\u5730\u8c03\u7528Sketch Model\u518d\u6b21\u8fdb\u884c\u62c6\u89e3\u3002\u8fd9\u4e0d\u4ec5\u89c4\u907f\u4e86\u957f\u6587\u672c\u751f\u6210\u7684\u9519\u8bef\u7d2f\u79ef\u95ee\u9898\uff0c\u66f4\u63d0\u5347\u4e86\u63a8\u7406\u7684\u5e76\u884c\u5ea6\u548c\u6210\u529f\u7387\u3002<\/p>\n

\u7814\u7a76\u4eba\u5458\u8fd8\u9a8c\u8bc1\u4e86\u8fd9\u4e00\u5de5\u4f5c\u6d41\u7684\u6d4b\u8bd5\u65f6Scaling\u7279\u6027\u3002<\/p>\n

\u5982\u4e0a\u56fe\u6240\u793a\uff0c\u6295\u5165\u66f4\u591a\u7684\u8ba1\u7b97\u8d44\u6e90\uff0cSeed Prover 1.5\u5bf9\u95ee\u9898\u7684\u89e3\u51b3\u7387\u4f1a\u5448\u5bf9\u6570\u7ebf\u6027\u589e\u957f\u3002<\/p>\n

\u8fd9\u9879\u7814\u7a76\u6765\u81ea\u5b57\u8282Seed AI4Math\u56e2\u961f\u3002<\/p>\n

Zheng Yuan\uff0c\u6e05\u534e\u7edf\u8ba1\u5b66\u535a\u58eb\u3002\u4eca\u5e746\u6708\u521a\u521a\u52a0\u5165\u5b57\u8282\uff0c\u6b64\u524d\u5728\u963f\u91ccQwen\u56e2\u961f\u8d1f\u8d23\u5bf9\u9f50\u548c\u63a8\u7406\u65b9\u5411\u5de5\u4f5c\u3002<\/p>\n

Hanwen Zhu\uff0c\u672c\u79d1\u6bd5\u4e1a\u4e8e\u725b\u6d25\u5927\u5b66\u6570\u5b66\u4e0e\u8ba1\u7b97\u673a\u79d1\u5b66\u4e13\u4e1a\uff0c\u76ee\u524d\u5728CMU\u8bfb\u7814\uff0c\u5373\u5c06\u52a0\u5165\u5b57\u8282Seed\u3002<\/p>\n

\u90d1\u6cfd\u5b87\uff0cCMU\u5728\u8bfb\u535a\u58eb\uff0c\u5b57\u8282Seed\u5b9e\u4e60\u751f\uff0c\u4e13\u4e1a\u65b9\u5411\u540c\u6837\u662f\u6570\u5b66\u4e0e\u8ba1\u7b97\u673a\u79d1\u5b66\u8054\u5408\u65b9\u5411\u3002<\/p>\n

\u8bba\u6587\u94fe\u63a5\uff1ahttps:\/\/arxiv.org\/pdf\/2512.17260\u53c2\u8003\u94fe\u63a5\uff1a[1]https:\/\/mp.weixin.qq.com\/s\/vcciJWK9KfDBM4FBIJwTfw?click_id=2[2]https:\/\/x.com\/GanjinZero\/status\/2001948751871815741<\/p>\n

\n

\u7248\u6743\u58f0\u660e\uff1a<\/strong><\/p>\n

\u672c\u535a\u5ba2\u90e8\u5206\u5185\u5bb9\u4e3a\u8f6c\u8f7d\u6587\u7ae0\uff0c\u65e8\u5728\u5206\u4eab\u6709\u4ef7\u503c\u7684\u4fe1\u606f\uff0c\u7248\u6743\u5f52\u539f\u4f5c\u8005\u6240\u6709\u3002<\/p>\n

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