{"id":38223,"date":"2025-02-12T04:01:01","date_gmt":"2025-02-11T20:01:01","guid":{"rendered":"https:\/\/17aitech.com\/?p=38223"},"modified":"2025-02-12T04:01:01","modified_gmt":"2025-02-11T20:01:01","slug":"%e8%b0%b7%e6%ad%8calphageometry2%e6%94%bb%e5%85%8bimo%e5%87%a0%e4%bd%95%e9%9a%be%e9%a2%98%ef%bc%8c%e5%b7%b2%e8%b6%85%e8%b6%8a%e9%87%91%e7%89%8c%e5%be%97%e4%b8%bb%e5%b9%b3%e5%9d%87%e6%b0%b4%e5%87%86","status":"publish","type":"post","link":"https:\/\/17aitech.com\/?p=38223","title":{"rendered":"\u8c37\u6b4cAlphaGeometry2\u653b\u514bIMO\u51e0\u4f55\u96be\u9898\uff0c\u5df2\u8d85\u8d8a\u91d1\u724c\u5f97\u4e3b\u5e73\u5747\u6c34\u51c6"},"content":{"rendered":"<p>\u6587\u7ae0\u6765\u6e90\u4e8e\u4e92\u8054\u7f51:<a href=\"https:\/\/www.jiqizhixin.com\/articles\/2025-02-10-2\" target=\"_blank\">\u8c37\u6b4cAlphaGeometry2\u653b\u514bIMO\u51e0\u4f55\u96be\u9898\uff0c\u5df2\u8d85\u8d8a\u91d1\u724c\u5f97\u4e3b\u5e73\u5747\u6c34\u51c6<\/a><\/p>\n<section>OpenAI \u4e0e DeepSeek \u5377\u5f97\u4e0d\u53ef\u5f00\u4ea4\u7684\u65f6\u5019\uff0c\u8c37\u6b4c DeepMind \u7684\u6570\u5b66\u63a8\u7406\u6a21\u578b\u53c8\u5077\u5077\u60ca\u8273\u4e86\u6240\u6709\u4eba\u3002<\/section>\n<section><\/section>\n<section>\u5728\u6700\u65b0\u7684\u4e00\u7bc7\u8bba\u6587\u4e2d\uff0c\u8c37\u6b4c DeepMind \u4ecb\u7ecd\u4e86\u5168\u65b0\u8fdb\u5316\u7684 AlphaGeometry 2\uff0c\u8be5\u7cfb\u7edf\u5728\u89e3\u51b3\u5965\u6797\u5339\u514b\u51e0\u4f55\u95ee\u9898\u65b9\u9762\u5df2\u7ecf\u8d85\u8fc7\u4e86\u91d1\u724c\u5f97\u4e3b\u7684\u5e73\u5747\u6c34\u51c6\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-a0ec11c627add0dec7ae069b8a24eb67.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-a0ec11c627add0dec7ae069b8a24eb67.png\"><\/a><\/section>\n<ul>\n<li>\n<section>\u8bba\u6587\u6807\u9898\uff1aGold-medalist Performance in Solving Olympiad Geometry with AlphaGeometry2<\/section>\n<\/li>\n<li>\n<section>\u8bba\u6587\u94fe\u63a5\uff1ahttps:\/\/arxiv.org\/pdf\/2502.03544<\/section>\n<\/li>\n<\/ul>\n<section><\/section>\n<section>\u56fd\u9645\u5965\u6797\u5339\u514b\u6570\u5b66\u7ade\u8d5b\uff08IMO\uff09\u662f\u4e00\u9879\u9762\u5411\u5168\u7403\u9ad8\u4e2d\u751f\u7684\u8457\u540d\u6570\u5b66\u7ade\u8d5b\u3002IMO \u95ee\u9898\u4ee5\u96be\u5ea6\u5927\u8457\u79f0\uff0c\u89e3\u51b3\u8fd9\u4e9b\u95ee\u9898\u9700\u8981\u5bf9\u6570\u5b66\u6982\u5ff5\u6709\u6df1\u523b\u7406\u89e3\uff0c\u5e76\u80fd\u521b\u9020\u6027\u5730\u5e94\u7528\u8fd9\u4e9b\u6982\u5ff5\u3002\u51e0\u4f55\u662f IMO \u56db\u5927\u9898\u578b\u4e4b\u4e00\uff0c\u5404\u9898\u578b\u4e4b\u95f4\u6700\u4e3a\u7edf\u4e00\uff0c\u975e\u5e38\u9002\u5408\u57fa\u7840\u63a8\u7406\u7814\u7a76\u3002\u56e0\u6b64\uff0c\u8fd9\u9879\u8d5b\u4e8b\u4e5f\u6210\u4e3a\u4e86\u8861\u91cf\u4eba\u5de5\u667a\u80fd\u7cfb\u7edf\u9ad8\u7ea7\u6570\u5b66\u63a8\u7406\u80fd\u529b\u7684\u7406\u60f3\u57fa\u51c6\u3002<\/section>\n<section><\/section>\n<section>\u5728 2024 \u5e74 7 \u6708\uff0c\u8c37\u6b4c DeepMind \u66fe\u7ecf\u4ecb\u7ecd\u4e86 AlphaGeometry (AG1)\uff0c\u8fd9\u662f\u4e00\u4e2a\u795e\u7ecf\u7b26\u53f7\u7cfb\u7edf\uff0c\u5728 2000-2024 \u5e74 IMO \u51e0\u4f55\u95ee\u9898\u4e0a\u7684\u89e3\u9898\u7387\u8fbe\u5230 54%\uff0c\u8ddd\u79bb\u91d1\u724c\u4e5f\u53ea\u6709\u4e00\u6b65\u4e4b\u9065\u3002AG1 \u5c06\u8bed\u8a00\u6a21\u578b (LM) \u4e0e\u7b26\u53f7\u5f15\u64ce\u76f8\u7ed3\u5408\uff0c\u6709\u6548\u5730\u89e3\u51b3\u4e86\u8fd9\u4e9b\u5177\u6709\u6311\u6218\u6027\u7684\u95ee\u9898\uff0c\u9020\u5c31\u4e86\u6570\u5b66\u9886\u57df\u7684\u300cAlphaGo \u65f6\u523b\u300d\u3002<\/section>\n<section><\/section>\n<section>\u5c3d\u7ba1 AG1 \u53d6\u5f97\u4e86\u6210\u529f\uff0c\u4f46\u5b83\u5728\u51e0\u4e2a\u5173\u952e\u9886\u57df\u4ecd\u5b58\u5728\u5c40\u9650\u6027\u3002\u5176\u6027\u80fd\u53d7\u9650\u4e8e\u7279\u5b9a\u9886\u57df\u8bed\u8a00\u7684\u8303\u56f4\u3001\u7b26\u53f7\u5f15\u64ce\u7684\u6548\u7387\u4ee5\u53ca\u521d\u59cb\u8bed\u8a00\u6a21\u578b\u7684\u5bb9\u91cf\u3002\u56e0\u6b64\uff0c\u5728\u8003\u8651 2000 \u5e74\u81f3\u4eca\u7684\u6240\u6709 IMO \u51e0\u4f55\u95ee\u9898\u65f6\uff0cAG1 \u53ea\u80fd\u8fbe\u5230 54% \u7684\u89e3\u9898\u7387\u3002<\/section>\n<section><\/section>\n<section>\u6700\u65b0\u7684\u8fd9\u7bc7\u8bba\u6587\u4ecb\u7ecd\u4e86 AlphaGeometry2\uff08AG2\uff09\uff0c\u5b83\u662f\u89e3\u51b3\u4e86\u8fd9\u4e9b\u9650\u5236\u7684\u5347\u7ea7\u7248\u672c\uff0c\u5e76\u663e\u8457\u63d0\u9ad8\u4e86\u6027\u80fd\u3002AG2 \u5229\u7528\u4e86\u66f4\u5f3a\u5927\u7684\u57fa\u4e8e Gemini \u7684\u8bed\u8a00\u6a21\u578b\uff0c\u8be5\u6a21\u578b\u662f\u5728\u4e00\u4e2a\u66f4\u5927\u3001\u66f4\u591a\u6837\u5316\u7684\u6570\u636e\u96c6\u4e0a\u8bad\u7ec3\u51fa\u6765\u7684\u3002\u56e2\u961f\u8fd8\u5f15\u5165\u4e86\u901f\u5ea6\u66f4\u5feb\u3001\u66f4\u5f3a\u5927\u7684\u7b26\u53f7\u5f15\u64ce\uff0c\u5e76\u8fdb\u884c\u4e86\u4f18\u5316\uff0c\u5982\u51cf\u5c11\u89c4\u5219\u96c6\u548c\u589e\u5f3a\u5bf9\u4e8c\u91cd\u70b9\u7684\u5904\u7406\u3002\u6b64\u5916\uff0c\u56e2\u961f\u8fd8\u6269\u5c55\u4e86\u9886\u57df\u8bed\u8a00\uff0c\u4ee5\u6db5\u76d6\u66f4\u5e7f\u6cdb\u7684\u51e0\u4f55\u6982\u5ff5\uff0c\u5305\u62ec\u8f68\u8ff9\u5b9a\u7406\uff08locus theorem\uff09\u548c\u7ebf\u6027\u65b9\u7a0b\uff08linear equation\uff09\u3002<\/section>\n<section><\/section>\n<section>\u4e3a\u4e86\u8fdb\u4e00\u6b65\u63d0\u9ad8\u6027\u80fd\uff0c\u4ed6\u4eec\u5f00\u53d1\u4e86\u4e00\u79cd\u65b0\u578b\u641c\u7d22\u7b97\u6cd5\uff0c\u53ef\u63a2\u7d22\u66f4\u5e7f\u6cdb\u7684\u8f85\u52a9\u6784\u9020\u7b56\u7565\uff0c\u5e76\u91c7\u7528\u77e5\u8bc6\u5171\u4eab\u673a\u5236\u6765\u6269\u5c55\u548c\u52a0\u901f\u641c\u7d22\u8fc7\u7a0b\u3002\u6700\u540e\uff0c\u4ed6\u4eec\u5728\u5efa\u7acb\u4e00\u4e2a\u7528\u81ea\u7136\u8bed\u8a00\u89e3\u51b3\u51e0\u4f55\u95ee\u9898\u7684\u5168\u81ea\u52a8\u53ef\u4fe1\u8d56\u7cfb\u7edf\u65b9\u9762\u53d6\u5f97\u4e86\u8fdb\u5c55\u3002\u4e3a\u6b64\uff0c\u8c37\u6b4c\u5229\u7528 Gemini \u5c06\u95ee\u9898\u4ece\u81ea\u7136\u8bed\u8a00\u7ffb\u8bd1\u6210 AlphaGeometry \u8bed\u8a00\uff0c\u5e76\u5b9e\u65bd\u4e86\u65b0\u7684\u81ea\u52a8\u56fe\u89e3\u751f\u6210\u7b97\u6cd5\u3002<\/section>\n<section><\/section>\n<section>\u8fd9\u4e9b\u6539\u8fdb\u6700\u7ec8\u5927\u5927\u63d0\u9ad8\u4e86\u6027\u80fd\uff1a<strong>AG2 \u5728 2000-2024 \u5e74 IMO \u6240\u6709\u51e0\u4f55\u95ee\u9898\u4e0a\u7684\u89e3\u9898\u7387\u8fbe\u5230\u4e86\u4ee4\u4eba\u5370\u8c61\u6df1\u523b\u7684 84%\uff0c\u8fd9\u8868\u660e\u4eba\u5de5\u667a\u80fd\u5728\u5904\u7406\u5177\u6709\u6311\u6218\u6027\u7684\u6570\u5b66\u63a8\u7406\u4efb\u52a1\u65b9\u9762\u5b9e\u73b0\u4e86\u91cd\u5927\u98de\u8dc3\uff0c\u5e76\u8d85\u8d8a\u4e86 IMO \u91d1\u724c\u5f97\u4e3b\u7684\u5e73\u5747\u6c34\u51c6\u3002<\/strong><\/section>\n<section><\/section>\n<section>\u6838\u5fc3\u63d0\u5347\u5982\u4e0b\uff1a<\/section>\n<section><\/section>\n<ul>\n<li>\n<section>\u6269\u5c55\u9886\u57df\u8bed\u8a00\uff1a\u6db5\u76d6\u8f68\u8ff9\u578b\u5b9a\u7406\u3001\u7ebf\u6027\u65b9\u7a0b\u548c\u975e\u6784\u9020\u6027\u95ee\u9898\u9648\u8ff0\uff1b<\/section>\n<\/li>\n<li>\n<section>\u66f4\u5f3a\u66f4\u5feb\u7684\u7b26\u53f7\u5f15\u64ce\uff1a\u4f18\u5316\u4e86\u89c4\u5219\u96c6\uff0c\u589e\u52a0\u4e86\u5bf9\u4e8c\u91cd\u70b9\u7684\u5904\u7406\uff0c\u4ee5\u53ca\u66f4\u5feb\u7684 C++ \u5b9e\u73b0\uff1b<\/section>\n<\/li>\n<li>\n<section>\u5148\u8fdb\u65b0\u9896\u7684\u641c\u7d22\u7b97\u6cd5\uff1a\u5229\u7528\u77e5\u8bc6\u5171\u4eab\u7684\u591a\u641c\u7d22\u6811\uff1b<\/section>\n<\/li>\n<li>\n<section>\u589e\u5f3a\u7684\u8bed\u8a00\u6a21\u578b\uff1a\u5229\u7528 Gemini \u67b6\u6784\u5728\u66f4\u5927\u548c\u66f4\u591a\u6837\u5316\u7684\u6570\u636e\u96c6\u4e0a\u8fdb\u884c\u8bad\u7ec3\u3002<\/section>\n<\/li>\n<\/ul>\n<section><\/section>\n<section><strong>\u66f4\u5f3a\u3001\u66f4\u5feb\u7684\u7b26\u53f7\u5f15\u64ce<\/strong><\/section>\n<section><\/section>\n<section><strong>\u7b26\u53f7\u5f15\u64ce\u662f AlphaGeometry \u7684\u6838\u5fc3\u7ec4\u4ef6\uff0c\u8c37\u6b4c\u79f0\u4e4b\u4e3a\u6f14\u7ece\u6570\u636e\u5e93\u7b97\u672f\u63a8\u7406\uff08Deductive Database Arithmetic Reasoning\uff0cDDAR\uff09\u3002<\/strong>\u5b83\u662f\u4e00\u79cd\u8ba1\u7b97\u6f14\u7ece\u95ed\u5305\u7684\u7b97\u6cd5\uff0c\u5373\u7ed9\u5b9a\u4e00\u7ec4\u6838\u5fc3\u521d\u59cb\u4e8b\u5b9e\u7684\u6240\u6709\u53ef\u6f14\u7ece\u4e8b\u5b9e\u96c6\u5408\u3002DDAR \u9075\u5faa\u4e00\u7ec4\u56fa\u5b9a\u7684\u6f14\u7ece\u89c4\u5219\u6765\u6784\u5efa\u6b64\u6f14\u7ece\u95ed\u5305\uff0c\u5e76\u8fed\u4ee3\u5730\u5c06\u65b0\u7684\u4e8b\u5b9e\u6dfb\u52a0\u5230\u6f14\u7ece\u95ed\u5305\u4e2d\uff0c\u76f4\u5230\u65e0\u6cd5\u518d\u6dfb\u52a0\u3002<\/section>\n<section><\/section>\n<section>DDAR \u9a71\u52a8\u8bed\u8a00\u6a21\u578b\u7684\u8bad\u7ec3\u6570\u636e\u751f\u6210\u4ee5\u53ca\u6d4b\u8bd5\u65f6\u8bc1\u660e\u641c\u7d22\u671f\u95f4\u7684\u6f14\u7ece\u6b65\u9aa4\u641c\u7d22\u3002\u5728\u8fd9\u4e24\u79cd\u60c5\u51b5\u4e0b\uff0c\u901f\u5ea6\u90fd\u81f3\u5173\u91cd\u8981\u3002\u66f4\u5feb\u7684\u6570\u636e\u751f\u6210\u53ef\u4ee5\u8fbe\u6210\u66f4\u5927\u89c4\u6a21\u3001\u66f4\u79ef\u6781\u7684\u6570\u636e\u8fc7\u6ee4\uff0c\u800c\u66f4\u5feb\u7684\u8bc1\u660e\u641c\u7d22\u53ef\u4ee5\u5b9e\u73b0\u66f4\u5e7f\u6cdb\u7684\u641c\u7d22\uff0c\u4ece\u800c\u589e\u52a0\u7ed9\u5b9a\u65f6\u95f4\u9884\u7b97\u5185\u627e\u5230\u89e3\u51b3\u65b9\u6848\u7684\u53ef\u80fd\u6027\u3002<\/section>\n<section><\/section>\n<section>DDAR \u6709\u4ee5\u4e0b\u4e09\u9879\u4e3b\u8981\u6539\u8fdb\uff1a<\/section>\n<section><\/section>\n<ul>\n<li>\n<section>\u5904\u7406\u4e8c\u91cd\u70b9\uff08double ponit\uff09\u7684\u80fd\u529b\uff1b<\/section>\n<\/li>\n<li>\n<section>\u66f4\u5feb\u7684\u7b97\u6cd5\uff1b<\/section>\n<\/li>\n<li>\n<section>\u66f4\u5feb\u7684\u5b9e\u73b0\u3002<\/section>\n<\/li>\n<\/ul>\n<section><\/section>\n<section><strong>\u5904\u7406\u4e8c\u91cd\u70b9<\/strong><\/section>\n<section><\/section>\n<section>\u5728\u91cd\u65b0\u5b9e\u73b0 DDAR \u65f6\uff0c\u8c37\u6b4c\u8bd5\u56fe\u4fdd\u6301\u4e0e\u539f\u59cb\u7b97\u6cd5\u5927\u81f4\u76f8\u540c\u7684\u903b\u8f91\u5f3a\u5ea6\uff0c\u53ea\u662f\u7531\u4e8e\u5b9e\u73b0\u5dee\u5f02\u800c\u7a0d\u5fae\u5f3a\u4e00\u4e9b\uff08\u4f8b\u5982\u6cf0\u52d2\u65af\u5b9a\u7406\u88ab\u66f4\u901a\u7528\u7684\u5706\u5fc3\u89d2\u5b9a\u7406\u53d6\u4ee3\uff09\u3002\u7136\u800c\uff0cDDAR \u7f3a\u5c11\u4e00\u4e2a\u5bf9\u89e3\u51b3\u96be\u9898\u81f3\u5173\u91cd\u8981\u7684\u5173\u952e\u7279\u6027\uff1a\u5b83\u65e0\u6cd5\u63a5\u53d7\u4e24\u4e2a\u540d\u79f0\u4e0d\u540c\u4f46\u5750\u6807\u76f8\u540c\u7684\u70b9\u3002<\/section>\n<section><\/section>\n<section>\u4f8b\u5982\uff0c\u60f3\u8c61\u4e00\u4e2a\u95ee\u9898\uff1a\u5728\u70b9 \ud835\udc4b \u5904\u4e24\u6761\u7ebf \ud835\udc4e,\ud835\udc4f \u76f8\u4ea4\uff0c\u5e76\u6253\u7b97\u8bc1\u660e \ud835\udc4b \u4f4d\u4e8e\u67d0\u4e2a\u5706 \ud835\udf14 \u4e0a\u3002\u6700\u5408\u7406\u7684\u65b9\u6cd5\u53ef\u80fd\u662f\u91cd\u6784\uff0c\u4e0d\u8bc1\u660e \ud835\udc4e,\ud835\udc4f \u7684\u4ea4\u70b9\u5728 \ud835\udf14 \u4e0a\uff0c\u800c\u662f\u8bc1\u660e \ud835\udc4e,\ud835\udf14 \u7684\u4ea4\u70b9\u5728 \ud835\udc4f \u4e0a\u3002\u8fd9\u662f\u7b49\u6548\u7684\uff0c\u4f46\u66f4\u5bb9\u6613\u8bc1\u660e\uff0c\u56e0\u4e3a\u53ef\u4ee5\u5728\u5706\u4e0a\u79fb\u52a8\u89d2\u5ea6\u3002\u5177\u4f53\u53ef\u53c2\u89c1\u56fe 1\u3002<\/section>\n<section><\/section>\n<section>\u8981\u5bf9\u53cc\u91cd\u70b9\u63a8\u7406\u5b9e\u73b0\u8fd9\u79cd\u91cd\u6784\uff0c\u9700\u8981\u6267\u884c\u4ee5\u4e0b\u56db\u4e2a\u6b65\u9aa4\uff1a<\/section>\n<section><\/section>\n<ul>\n<li>\n<section>\u6784\u9020\u4e00\u4e2a\u65b0\u70b9\ud835\udc4b\u2032\u4f5c\u4e3a \ud835\udc4e,\ud835\udf14 \u7684\u4ea4\u70b9\uff08\u4e0d\u77e5\u9053 \ud835\udc4b\u2032 \u662f\u5426\u4e0e \ud835\udc4b \u91cd\u5408\uff09\u3002\u8fd9\u662f\u4e00\u4e2a\u8f85\u52a9\u6784\u9020\uff0c\u5fc5\u987b\u7531\u8bed\u8a00\u6a21\u578b\u9884\u6d4b\uff1b<\/section>\n<\/li>\n<li>\n<section>\u8bc1\u660e\ud835\udc4b\u4f4d\u4e8e\ud835\udc4f\u4e0a\uff1b<\/section>\n<\/li>\n<li>\n<section>\u7531\u4e8e\ud835\udc4b\u548c\ud835\udc4b\u2032\u90fd\u4f4d\u4e8e\ud835\udc4e,\ud835\udc4f\u4e0a\uff0c\u5f97\u51fa\ud835\udc4b = \ud835\udc4b\u2032\uff1b<\/section>\n<\/li>\n<li>\n<section>\u56e0\u6b64\ud835\udc4b\u4f4d\u4e8e\ud835\udf14\u4e0a\u3002<\/section>\n<\/li>\n<\/ul>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-c09c68c0e8829d5ea50a77d7e98b6e87.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-c09c68c0e8829d5ea50a77d7e98b6e87.png\"><\/a><\/section>\n<section><strong>\u66f4\u5feb\u7684\u7b97\u6cd5<\/strong><\/section>\n<section><\/section>\n<section>DDAR \u7b97\u6cd5\u53ef\u4ee5\u5904\u7406\u4e00\u7cfb\u5217\u89c4\u5219\uff0c\u5e76\u5c1d\u8bd5\u5c06\u6bcf\u6761\u89c4\u5219\u5e94\u7528\u4e8e\u6240\u6709\u70b9\u7684\u7ec4\u5408\u3002\u6b64\u8fc7\u7a0b\u6d89\u53ca\u4ee5\u4e0b\u4e24\u4e2a\u90e8\u5206\uff1a<\/section>\n<section><\/section>\n<ul>\n<li>\n<section>\u5019\u9009\u641c\u7d22\u6b65\u9aa4\uff0c\u5b83\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u662f\u70b9\u6570\u7684\u591a\u9879\u5f0f\uff1b<\/section>\n<\/li>\n<li>\n<section>\u5b50\u53e5\u5339\u914d\u6b65\u9aa4\uff0c\u5b83\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u662f\u6bcf\u4e2a\u524d\u63d0\u7684\u5b50\u53e5\u6570\u7684\u6307\u6570\u3002<\/section>\n<\/li>\n<\/ul>\n<section><\/section>\n<section>\u7406\u8bba\u4e0a\uff0c\u5728 AG1 \u4e2d\u641c\u7d22\u76f8\u4f3c\u4e09\u89d2\u5f62\u5019\u9009\u7684\u6700\u574f\u60c5\u51b5\u662f \ud835\udc42(\ud835\udc41^8)\uff0c\u8fd9\u662f\u6700\u8017\u65f6\u7684\u6b65\u9aa4\u4e4b\u4e00\u3002\u6307\u6570\u7ea7\u5b50\u53e5\u5339\u914d\u662f\u53e6\u4e00\u4e2a\u6210\u672c\u9ad8\u6602\u7684\u6b65\u9aa4\u3002<\/section>\n<section><\/section>\n<section>DDAR \u6700\u8017\u65f6\u7684\u4e24\u4e2a\u90e8\u5206\u662f\u641c\u7d22\u76f8\u4f3c\u4e09\u89d2\u5f62\u548c\u641c\u7d22\u5706\u5185\u63a5\u56db\u8fb9\u5f62\u3002\u5728 AG2 \u4e2d\uff0c\u8c37\u6b4c\u8bbe\u8ba1\u4e86\u4e00\u79cd\u6539\u8fdb\u7684 DDAR2 \u7b97\u6cd5\u3002\u5bf9\u4e8e\u76f8\u4f3c\u4e09\u89d2\u5f62\uff0c\u4ed6\u4eec\u904d\u5386\u6240\u6709\u7684\u70b9\u4e09\u5143\u7ec4\uff0c\u5bf9\u5b83\u4eec\u7684\u300c\u5f62\u72b6\u300d\u8fdb\u884c\u54c8\u5e0c\u5904\u7406\u3002\u5982\u679c\u4e24\u6b21\u8bc6\u522b\u51fa\u5f62\u72b6\uff0c\u5219\u68c0\u6d4b\u51fa\u76f8\u4f3c\u7684\u5bf9\u3002<\/section>\n<section><\/section>\n<section>\u5bf9\u4e8e\u5706\u5185\u63a5\u56db\u8fb9\u5f62\uff0c\u8c37\u6b4c\u904d\u5386\u6240\u6709\u5bf9\uff08\u70b9\ud835\udc4b\u3001\u7ebf\u6bb5\ud835\udc34\ud835\udc35\uff09\uff0c\u5e76\u5bf9\uff08\ud835\udc34\uff0c\ud835\udc35\uff0c\u2220\ud835\udc34\ud835\udc4b\ud835\udc35\uff09\u7684\u503c\u8fdb\u884c\u54c8\u5e0c\u5904\u7406\u3002\u5982\u679c\u8fd9\u6837\u7684\u4e09\u5143\u7ec4\u91cd\u590d\u51fa\u73b0\uff0c\u5c31\u5f97\u5230\u4e00\u4e2a\u5706\u5185\u63a5\u56db\u8fb9\u5f62\u3002\u7ebf\u6bb5 \ud835\udc34\ud835\udc35 \u6216 \u2220\ud835\udc34\ud835\udc4b\ud835\udc35 \u7684\u300c\u503c\u300d\u662f\u6307 AR \u5b50\u6a21\u5757\u8ba1\u7b97\u51fa\u7684\u7b26\u53f7\u8303\u5f0f\u3002\u8be5\u5b50\u6a21\u5757\u8ddf\u8e2a\u89d2\u5ea6\u3001\u8ddd\u79bb\u548c\u5bf9\u6570\u8ddd\u79bb\u4e4b\u95f4\u7684\u5df2\u77e5\u7ebf\u6027\u65b9\u7a0b\uff0c\u4e86\u89e3\u5176\u4ee3\u6570\u7ed3\u679c\uff0c\u5e76\u5c06\u4efb\u4f55\u7ebf\u6027\u8868\u8fbe\u5f0f\u7b80\u5316\u4e3a\u5176\u6807\u51c6\u8303\u5f0f\u3002<\/section>\n<section><strong><br \/><\/strong><\/section>\n<section><strong>\u66f4\u5feb\u7684\u5b9e\u73b0<\/strong><\/section>\n<section><\/section>\n<section>\u867d\u7136\u65b0\u7b97\u6cd5\u5df2\u7ecf\u663e\u8457\u52a0\u5feb\u4e86 DDAR \u7684\u901f\u5ea6\uff0c\u4f46\u8c37\u6b4c\u4f7f\u7528 C++ \u5b9e\u73b0\u5176\u6838\u5fc3\u8ba1\u7b97\uff08\u9ad8\u65af\u6d88\u5143\u6cd5\uff09\uff0c\u4ece\u800c\u8fdb\u4e00\u6b65\u63d0\u5347\u4e86\u901f\u5ea6\u3002<\/section>\n<section><\/section>\n<section>\u65b0\u7684 C++ \u5e93\u901a\u8fc7 pybind11 \u5bfc\u51fa\u5230 Python\uff0c\u901f\u5ea6\u662f DDAR1 \u7684 300 \u591a\u500d\u3002\u4e3a\u4e86\u5bf9\u901f\u5ea6\u6539\u8fdb\u8fdb\u884c\u57fa\u51c6\u6d4b\u8bd5\uff0c\u8c37\u6b4c\u9009\u62e9\u4e86\u4e00\u7ec4 25 \u9053 DDAR \u65e0\u6cd5\u89e3\u51b3\u7684 IMO \u95ee\u9898\uff08\u89c1\u56fe 8\uff09\uff0c\u5e76\u5728\u914d\u5907 AMD EPYC 7B13 64 \u6838 CPU \u7684\u673a\u5668\u4e0a\u8fd0\u884c\u6d4b\u8bd5 50 \u6b21\u3002<\/section>\n<section><\/section>\n<section>\u7ed3\u679c\u663e\u793a\uff0cDDAR1 \u5e73\u5747\u53ef\u4ee5\u5728 1179.57\u00b18.055 \u79d2\u5185\u5b8c\u6210\u8ba1\u7b97\uff0c\u4f46 DDAR2 \u7684\u901f\u5ea6\u8981\u5feb\u5f97\u591a\uff0c\u5728 3.44711 \u00b1 0.05476 \u79d2\u5185\u5b8c\u6210\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-3e2cb96f95716ff72dcf6136a13315d2.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-3e2cb96f95716ff72dcf6136a13315d2.png\"><\/a><\/section>\n<section><strong>\u66f4\u597d\u7684\u5408\u6210\u8bad\u7ec3\u6570\u636e<\/strong><\/section>\n<section><\/section>\n<section>\u4e0e AG1 \u7c7b\u4f3c\uff0c\u8c37\u6b4c\u4f7f\u7528\u7684\u5408\u6210\u6570\u636e\u751f\u6210\u65b9\u6cd5\u4ece\u968f\u673a\u56fe\u91c7\u6837\u5f00\u59cb\uff0c\u5e76\u4f7f\u7528\u7b26\u53f7\u5f15\u64ce\u4ece\u4e2d\u63a8\u65ad\u51fa\u6240\u6709\u53ef\u80fd\u7684\u4e8b\u5b9e\u3002\u5e76\u4e14\u5bf9\u4e8e\u6bcf\u4e2a\u63a8\u65ad\u51fa\u7684\u4e8b\u5b9e\uff0c\u4ed6\u4eec\u90fd\u4f7f\u7528\u56de\u6eaf\u7b97\u6cd5\u6765\u63d0\u53d6\u53ef\u4ee5\u8bc1\u660e\u4e8b\u5b9e\u7684\u76f8\u5e94\u524d\u63d0\u3001\u8f85\u52a9\u70b9\u548c\u63a8\u7406\u6b65\u9aa4\u3002<\/section>\n<section><\/section>\n<section>\u8c37\u6b4c\u7684\u6570\u636e\u751f\u6210\u65b9\u6cd5\u523b\u610f\u907f\u514d\u4f7f\u7528\u4eba\u4e3a\u8bbe\u8ba1\u7684\u95ee\u9898\u4f5c\u4e3a\u521d\u59cb\u56fe\u79cd\u5b50\uff0c\u5e76\u4e25\u683c\u4ece\u968f\u673a\u56fe\u5f00\u59cb\u3002\u8fd9\u79cd\u8bbe\u8ba1\u9009\u62e9\u6d88\u9664\u4e86\u6570\u636e\u6c61\u67d3\u7684\u98ce\u9669\uff0c\u5e76\u5141\u8bb8\u63a2\u7d22\u53ef\u80fd\u8d85\u51fa\u73b0\u6709\u4eba\u7c7b\u77e5\u8bc6\u7684\u5b9a\u7406\u5206\u5e03\u3002<\/section>\n<section><\/section>\n<section><strong>\u66f4\u5927\u3001\u66f4\u590d\u6742\u7684\u56fe\u8868\u548c\u66f4\u597d\u7684\u6570\u636e\u5206\u5e03\u3002<\/strong>\u9996\u5148\uff0c\u8c37\u6b4c\u6269\u5927\u6570\u636e\u751f\u6210\u7684\u6765\u6e90\uff0c\u5e76\u66f4\u4ed4\u7ec6\u5730\u91cd\u65b0\u5e73\u8861\u6570\u636e\u5206\u5e03\u3002\u56fe 2 \u5c55\u793a\u4e86 AG2 \u4e0e AG1 \u7684\u8bad\u7ec3\u6570\u636e\u6bd4\u8f83\uff1a<\/section>\n<section><\/section>\n<ul>\n<li>\n<section>\u63a2\u7d22\u4e24\u500d\u5927\u5c0f\u7684\u968f\u673a\u56fe\uff0c\u4ece\u800c\u63d0\u53d6\u66f4\u590d\u6742\u7684\u95ee\u9898\uff1b<\/section>\n<\/li>\n<li>\n<section>\u751f\u6210\u7684\u5b9a\u7406\u590d\u6742\u4e86\u4e24\u500d\uff0c\u5373\u70b9\u548c\u524d\u63d0\u7684\u6570\u91cf\uff1b<\/section>\n<\/li>\n<li>\n<section>\u751f\u6210\u7684\u8bc1\u660e\u590d\u6742\u4e86 10 \u500d\uff0c\u5373\u8bc1\u660e\u6b65\u9aa4\u591a 10 \u500d\uff1b<\/section>\n<\/li>\n<li>\n<section>\u95ee\u9898\u7c7b\u578b\u4e4b\u95f4\u7684\u6570\u636e\u5206\u5e03\u66f4\u5747\u8861\uff1b<\/section>\n<\/li>\n<li>\n<section>\u6709\u65e0\u8f85\u52a9\u70b9\u7684\u95ee\u9898\u4e4b\u95f4\u7684\u6570\u636e\u5206\u5e03\u66f4\u5747\u8861\u3002<\/section>\n<\/li>\n<\/ul>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-fe796d9d76cd1d39b588825067ef203e.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-fe796d9d76cd1d39b588825067ef203e.png\"><\/a><\/section>\n<section><strong>\u66f4\u5feb\u7684\u6570\u636e\u751f\u6210\u7b97\u6cd5\u3002<\/strong>\u8c37\u6b4c\u8fd8\u63d0\u5347\u4e86\u6570\u636e\u751f\u6210\u7b97\u6cd5\u7684\u901f\u5ea6\u3002\u56de\u60f3 AG1\uff0c\u8c37\u6b4c\u9996\u5148\u5728\u968f\u673a\u56fe\u4e0a\u8fd0\u884c\u6f14\u7ece\u95ed\u5305\uff0c\u7136\u540e\u56de\u6eaf\u4ee5\u83b7\u5f97\u53ef\u4ee5\u8bc1\u660e\u95ed\u5305\u4e2d\u6bcf\u4e2a\u4e8b\u5b9e\u7684\u6700\u5c0f\u95ee\u9898\u548c\u6700\u5c0f\u8bc1\u660e\u3002\u4e3a\u4e86\u83b7\u5f97 AG1 \u4e2d\u7684\u6700\u5c0f\u95ee\u9898\uff0c\u5fc5\u987b\u4ece\u95ee\u9898\u4e2d\u5f7b\u5e95\u5220\u9664\u4e0d\u540c\u7684\u70b9\u5b50\u96c6\uff0c\u7136\u540e\u91cd\u65b0\u8fd0\u884c DDAR \u4ee5\u68c0\u67e5\u53ef\u8bc1\u660e\u6027\u3002\u8fd9\u6837\u7684\u641c\u7d22\u53ef\u4ee5\u627e\u5230\u57fa\u6570\u6700\u5c0f\u7684\u5b50\u96c6\uff0c\u4f46\u662f\u4f5c\u4e3a\u6307\u6570\u7ea7\u641c\u7d22\uff0c\u5bf9\u4e8e\u5927\u91cf\u7684\u70b9\u800c\u8a00\u4e0d\u53ef\u884c\u3002<\/section>\n<section><\/section>\n<section>\u56e0\u6b64\uff0c\u8c37\u6b4c\u5207\u6362\u5230\u56fe 3 \u6240\u793a\u7684\u8d2a\u5a6a\u4e22\u5f03\u7b97\u6cd5\uff0c\u8be5\u7b97\u6cd5\u4ec5\u4f7f\u7528\u7ebf\u6027\u6570\u91cf\u7684\u68c0\u67e5\u6765\u5224\u65ad\u4e00\u7ec4\u70b9\u662f\u5426\u8db3\u4ee5\u8bc1\u660e\u76ee\u6807\u3002\u53ea\u8981\u68c0\u67e5\u662f\u5355\u8c03\u7684\uff08\u5982\u679c \ud835\udc34 \u2286 \ud835\udc35\uff0c\u5219 check_provable (\ud835\udc34) \u21d2 check_provable (\ud835\udc35)\uff09\uff0c\u8d2a\u5a6a\u7b97\u6cd5\u5c31\u4fdd\u8bc1\u627e\u5230\u4e00\u7ec4\u5173\u4e8e\u5305\u542b\uff08inclusion\uff09\u7684\u6700\u5c0f\u70b9\u96c6\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-0879ff4dd636cc30edb82885739705e1.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-0879ff4dd636cc30edb82885739705e1.png\"><\/a><\/section>\n<section><strong>\u65b0\u9896\u7684\u641c\u7d22\u7b97\u6cd5<\/strong><\/section>\n<section><\/section>\n<section>\u5728 AG1 \u4e2d\uff0c\u8c37\u6b4c\u4f7f\u7528\u7b80\u5355\u7684\u675f\u641c\u7d22\u6765\u53d1\u73b0\u8bc1\u660e\u3002\u5728 AG2 \u4e2d\uff0c\u4ed6\u4eec\u8bbe\u8ba1\u4e86\u4e00\u79cd\u65b0\u9896\u7684\u641c\u7d22\u7b97\u6cd5\uff0c\u53ef\u4ee5\u5e76\u884c\u6267\u884c\u591a\u4e2a\u4e0d\u540c\u914d\u7f6e\u7684\u675f\u641c\u7d22\uff0c\u5e76\u5141\u8bb8\u5b83\u4eec\u901a\u8fc7\u77e5\u8bc6\u5171\u4eab\u673a\u5236\u4e92\u76f8\u5e2e\u52a9\uff0c\u5177\u4f53\u53ef\u89c1\u56fe 4\u3002\u4e3a\u4e86\u63d0\u9ad8\u7cfb\u7edf\u7684\u7a33\u5065\u6027\uff0c\u8c37\u6b4c\u8fd8\u4e3a\u6bcf\u4e2a\u641c\u7d22\u6811\u914d\u7f6e\u4f7f\u7528\u591a\u4e2a\u4e0d\u540c\u7684\u8bed\u8a00\u6a21\u578b\u3002\u8fd9\u79cd\u641c\u7d22\u7b97\u6cd5\u88ab\u79f0\u4e3a\u641c\u7d22\u6811\u7684\u5171\u4eab\u77e5\u8bc6\u96c6\u5408\uff08Shared Knowledge Ensemble of Search Trees\uff0cSKEST\uff09 \u3002<\/section>\n<section><\/section>\n<section>\u8be5\u641c\u7d22\u7b97\u6cd5\u7684\u5de5\u4f5c\u539f\u7406\u5982\u4e0b\u6240\u793a\uff1a\u5728\u6bcf\u4e2a\u641c\u7d22\u6811\u4e2d\uff0c\u4e00\u4e2a\u8282\u70b9\u5bf9\u5e94\u4e8e\u4e00\u6b21\u8f85\u52a9\u6784\u9020\u5c1d\u8bd5\uff0c\u7136\u540e\u662f\u4e00\u6b21\u7b26\u53f7\u5f15\u64ce\u8fd0\u884c\u5c1d\u8bd5\u3002\u5982\u679c\u5c1d\u8bd5\u6210\u529f\uff0c\u6240\u6709\u641c\u7d22\u6811\u90fd\u4f1a\u7ec8\u6b62\u3002\u5982\u679c\u5c1d\u8bd5\u5931\u8d25\uff0c\u8282\u70b9\u5c06\u628a\u7b26\u53f7\u5f15\u64ce\u8bbe\u6cd5\u8bc1\u660e\u7684\u4e8b\u5b9e\u5199\u5165\u5171\u4eab\u4e8b\u5b9e\u6570\u636e\u5e93\u3002\u8fd9\u4e9b\u5171\u4eab\u4e8b\u5b9e\u7ecf\u8fc7\u8fc7\u6ee4\uff0c\u4f7f\u5b83\u4eec\u4e0d\u662f\u7279\u5b9a\u4e8e\u8282\u70b9\u672c\u8eab\u7684\u8f85\u52a9\u70b9\uff0c\u800c\u4ec5\u4e0e\u539f\u59cb\u95ee\u9898\u76f8\u5173\u3002\u8fd9\u6837\u4e00\u6765\uff0c\u8fd9\u4e9b\u4e8b\u5b9e\u4e5f\u53ef\u4ee5\u5bf9\u540c\u4e00\u641c\u7d22\u6811\u4e2d\u7684\u5176\u4ed6\u8282\u70b9\u4ee5\u53ca\u4e0d\u540c\u641c\u7d22\u6811\u4e2d\u7684\u8282\u70b9\u4ea7\u751f\u52a9\u76ca\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-bd32eeac752dd67d5676ca5ce41aa152.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-bd32eeac752dd67d5676ca5ce41aa152.png\"><\/a><\/section>\n<section>\u7cfb\u7edf\u8bbe\u8ba1\u7ec6\u8282\u3002\u5bf9\u4e8e\u8bc1\u660e\u641c\u7d22\uff0c\u8c37\u6b4c\u4f7f\u7528 TPUv4 \u4e3a\u6bcf\u4e2a\u6a21\u578b\u63d0\u4f9b\u591a\u4e2a\u526f\u672c\uff0c\u5e76\u8ba9\u540c\u4e00\u6a21\u578b\u5185\u7684\u4e0d\u540c\u641c\u7d22\u6811\u6839\u636e\u81ea\u8eab\u7684\u641c\u7d22\u7b56\u7565\u6765\u67e5\u8be2\u540c\u4e00\u670d\u52a1\u5668\u3002\u9664\u4e86\u5f02\u6b65\u8fd0\u884c\u8fd9\u4e9b\u641c\u7d22\u6811\u4e4b\u5916\uff0c\u8c37\u6b4c\u8fd8\u5bf9 DDAR \u5de5\u4f5c\u5668\u4e0e LM \u5de5\u4f5c\u5668\u8fdb\u884c\u5f02\u6b65\u8fd0\u7b97\uff0c\u5176\u4e2d LM \u5de5\u4f5c\u5668\u5c06\u5b83\u4eec\u63a2\u7d22\u7684\u8282\u70b9\u5185\u5bb9\u5199\u5165\u6570\u636e\u5e93\uff0cDDAR \u5de5\u4f5c\u5668\u5f02\u6b65\u62fe\u53d6\u8fd9\u4e9b\u8282\u70b9\u5e76\u5c1d\u8bd5\u5b83\u4eec\u3002DDAR \u5de5\u4f5c\u5668\u4e4b\u95f4\u76f8\u4e92\u534f\u8c03\uff0c\u4ee5\u786e\u4fdd\u5b83\u4eec\u5e73\u7b49\u5206\u914d\u5de5\u4f5c\u3002\u5355\u4e2a DDAR \u5de5\u4f5c\u5668\u6c60\u5728\u4e0d\u540c\u95ee\u9898\u4e4b\u95f4\u5171\u4eab\uff08\u5982\u679c\u4e00\u6b21\u89e3\u51b3\u591a\u4e2a\u95ee\u9898\uff09\uff0c\u8fd9\u6837\u5148\u524d\u89e3\u51b3\u7684\u95ee\u9898\u5c31\u4f1a\u4e3a\u6b63\u5728\u89e3\u51b3\u7684\u5176\u4f59\u95ee\u9898\u91ca\u653e\u81ea\u5df1\u7684 DDAR \u8ba1\u7b97\u8d44\u6e90\u3002<\/section>\n<section><\/section>\n<section><strong>\u66f4\u597d\u7684\u8bed\u8a00\u6a21\u578b<\/strong><\/section>\n<section><\/section>\n<section>AG2 \u7684\u6700\u540e\u4e00\u9879\u6539\u8fdb\u662f\u4f7f\u7528\u65b0\u7684\u8bed\u8a00\u6a21\u578b\u3002\u4e0b\u9762\u5c06\u8ba8\u8bba\u5168\u65b0\u7684\u8bad\u7ec3\u548c\u63a8\u7406\u8bbe\u7f6e\u3002<\/section>\n<section><\/section>\n<section><strong>\u8bad\u7ec3\u8bbe\u7f6e<\/strong><\/section>\n<section><\/section>\n<section>AG1 \u662f\u4e00\u79cd\u5b9a\u5236\u7248 Transformer\uff0c\u4ee5\u65e0\u76d1\u7763\u65b9\u5f0f\u5206\u4e24\u4e2a\u9636\u6bb5\u8fdb\u884c\u8bad\u7ec3\uff1a\u5148\u5bf9\u6709\u65e0\u8f85\u52a9\u7ed3\u6784\u7684\u95ee\u9898\u8fdb\u884c\u8bad\u7ec3\uff0c\u7136\u540e\u4ec5\u5bf9\u5305\u542b\u8f85\u52a9\u7ed3\u6784\u7684\u95ee\u9898\u8fdb\u884c\u8bad\u7ec3\u3002<\/section>\n<section><\/section>\n<section>\u5bf9\u4e8e AG2\uff0c\u8c37\u6b4c\u5229\u7528\u4e86 Gemini \u8bad\u7ec3\u6d41\u7a0b\u5e76\u5c06\u8bad\u7ec3\u7b80\u5316\u4e3a\u4e00\u4e2a\u9636\u6bb5\uff1a\u5bf9\u6240\u6709\u6570\u636e\u8fdb\u884c\u65e0\u76d1\u7763\u5b66\u4e60\u3002\u4ed6\u4eec\u4f7f\u7528\u4e86\u4e00\u79cd\u57fa\u4e8e\u7a00\u758f\u6df7\u5408\u4e13\u5bb6\uff08MoE\uff09Transformer \u7684\u65b0\u6a21\u578b\uff0c\u8be5\u6a21\u578b\u4ee5 Gemini 1.5 \u4e3a\u57fa\u7840\uff0c\u5e76\u4f7f\u7528 AG2 \u6570\u636e\u8fdb\u884c\u8bad\u7ec3\u3002<\/section>\n<section><\/section>\n<section>\u8c37\u6b4c\u4f7f\u7528\u4ee5\u4e0b\u4e09\u79cd\u8bbe\u7f6e\u6765\u8bad\u7ec3\u4e0d\u540c\u5927\u5c0f\u7684\u591a\u4e2a\u6a21\u578b\uff1a<\/section>\n<section><\/section>\n<section>1. \u4f7f\u7528\u9886\u57df\u7279\u5b9a\u8bed\u8a00\u4e2d\u7684\u81ea\u5b9a\u4e49 tokenizer \u4ece\u5934\u5f00\u59cb\u8bad\u7ec3\uff08AG1 \u8bbe\u7f6e\uff09\uff1b<\/section>\n<section>2. \u4f7f\u7528\u81ea\u7136\u8bed\u8a00\u5fae\u8c03\u5df2\u7ecf\u9884\u8bad\u7ec3\u7684\u81ea\u5b9a\u4e49\u4e13\u4e1a\u6570\u5b66 Gemini \u6a21\u578b\uff1b<\/section>\n<section>3. \u4f7f\u7528\u989d\u5916\u7684\u56fe\u50cf\u8f93\u5165\uff08\u7ed9\u5b9a\u51e0\u4f55\u9898\u7684\u56fe\u8868\uff09\u4ece\u5934\u5f00\u59cb\u8fdb\u884c\u591a\u6a21\u6001\u8bad\u7ec3\u3002<\/section>\n<section><\/section>\n<section>\u8c37\u6b4c\u4f7f\u7528 TPUv4\uff0c\u5e76\u4ee5\u786c\u4ef6\u5141\u8bb8\u7684\u6700\u5927\u6279\u5927\u5c0f\u8bad\u7ec3\u6a21\u578b\u3002\u5b66\u4e60\u7387\u8ba1\u5212\u662f\u5148\u7ebf\u6027\u9884\u70ed\uff0c\u7136\u540e\u4f59\u5f26\u9000\u706b\u3002\u5b66\u4e60\u7387\u8d85\u53c2\u7531 scaling \u5b9a\u5f8b\u786e\u5b9a\u3002\u5728\u56fe 5 \u4e2d\uff0c\u4ed6\u4eec\u5c55\u793a\u4e86\u57fa\u4e8e\u53c2\u6570\u91cf\u7684\u4e0d\u540c\u5927\u5c0f\u7684 Gemini \u7684\u5b66\u4e60\u66f2\u7ebf\u3002\u6b63\u5982\u9884\u671f\u7684\u90a3\u6837\uff0c\u589e\u52a0\u6a21\u578b\u5927\u5c0f\u4f1a\u964d\u4f4e\u8bad\u7ec3\u3001\u8bc4\u4f30\u4ee5\u53ca\u7279\u6b8a IMO \u8bc4\u4f30\u96c6\u7684\u56f0\u60d1\u5ea6\u635f\u5931\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-33e1250c125bde7558edbafb759431f5.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-33e1250c125bde7558edbafb759431f5.png\"><\/a><\/section>\n<section><strong>\u63a8\u7406\u8bbe\u7f6e<\/strong><\/section>\n<section><\/section>\n<section>\u5728 AG2 \u4e2d\uff0c\u8c37\u6b4c\u5728\u63d0\u51fa\u8f85\u52a9\u6784\u9020\u4e4b\u524d\u8ba9 LM \u4e86\u89e3 DDAR \u6240\u505a\u7684\u63a8\u8bba\uff0c\u8fdb\u800c\u4e30\u5bcc\u8fd9\u4e2a\u795e\u7ecf\u7b26\u53f7\u63a5\u53e3\u3002\u4e5f\u5c31\u662f\u8bf4\uff0c\u4ed6\u4eec\u5c06\u4ee5\u4e0b\u4fe1\u606f\u8f93\u5165\u5230 LM \u4e2d<\/section>\n<section><\/section>\n<ul>\n<li>\n<section>\ud835\udc46_1\uff1a\u7ed9\u5b9a\u539f\u59cb\u95ee\u9898\u524d\u63d0\uff0cDDAR 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