{"id":21397,"date":"2024-10-12T10:42:05","date_gmt":"2024-10-12T02:42:05","guid":{"rendered":"http:\/\/139.9.1.231\/?p=21397"},"modified":"2024-10-12T10:42:06","modified_gmt":"2024-10-12T02:42:06","slug":"openai-o1-report","status":"publish","type":"post","link":"http:\/\/139.9.1.231\/index.php\/2024\/10\/12\/openai-o1-report\/","title":{"rendered":"OpenAI o1\u590d\u73b0\u9879\u76ee\u8fdb\u5c55\u62a5\u544a"},"content":{"rendered":"\n<p class=\"has-text-align-center\"><strong>\u6458\u81ea\uff1a<a href=\"https:\/\/www.jiqizhixin.com\/articles\/2024-10-09-3\" target=\"_blank\" rel=\"noreferrer noopener\">\u673a\u5668\u4e4b\u5fc3<\/a><\/strong><\/p>\n\n\n\n<p class=\"has-text-align-center\"><a href=\"https:\/\/github.com\/GAIR-NLP\/O1-Journey#about-the-team\" target=\"_blank\" rel=\"noreferrer noopener\">O1 Replication Journey: A Strategic Progress Report<\/a><\/p>\n\n\n\n<p class=\"has-text-align-center\"><a href=\"https:\/\/github.com\/GAIR-NLP\/O1-Journey\/blob\/main\/resource\/report.pdf\"><strong>Report<\/strong><\/a>\u00a0|\u00a0<a href=\"https:\/\/gair-nlp.github.io\/walnut-plan\/\"><strong>Walnut Plan<\/strong><\/a>\u00a0|\u00a0<a href=\"https:\/\/github.com\/GAIR-NLP\/O1-Journey#citation\"><strong>Citation<\/strong><\/a><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" width=\"934\" height=\"177\" src=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/10\/image-123.png\" alt=\"\" class=\"wp-image-21448\" srcset=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/10\/image-123.png 934w, http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/10\/image-123-300x57.png 300w, http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/10\/image-123-768x146.png 768w\" sizes=\"(max-width: 934px) 100vw, 934px\" \/><\/figure>\n\n\n\n<p class=\"has-text-align-center\"><a href=\"https:\/\/github.com\/GAIR-NLP\/O1-Journey#o1-replication-journey-a-strategic-progress-report\"><\/a><\/p>\n\n\n\n<p><strong>\u56e2\u961f\u4ecb\u7ecd\uff1a\u672c\u9879\u76ee\u7684\u6838\u5fc3\u5f00\u53d1\u56e2\u961f\u4e3b\u8981\u7531\u4e0a\u6d77\u4ea4\u901a\u5927\u5b66 GAIR \u7814\u7a76\u7ec4\u7684\u672c\u79d1\u4e09\u5e74\u7ea7\u3001\u56db\u5e74\u7ea7\u5b66\u751f\u4ee5\u53ca\u76f4\u535a\u4e00\u5e74\u7ea7\u7814\u7a76\u751f\u7ec4\u6210\u3002\u9879\u76ee\u5f97\u5230\u4e86\u6765\u81ea NYU \u7b49\u4e00\u7ebf\u5927\u578b<mark>\u8bed\u8a00\u6a21\u578b<\/mark>\u9886\u57df\u9876\u5c16\u7814\u7a76\u79d1\u5b66\u5bb6\u7684\u6307\u5bfc\u3002\u8be6\u7ec6\u4f5c\u8005\u4ecb\u7ecd\u89c1\uff1ahttps:\/\/github.com\/GAIR-NLP\/O1-Journey#about-the-team\u3002<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" width=\"901\" height=\"402\" src=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/10\/image-115.png\" alt=\"\" class=\"wp-image-21401\" srcset=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/10\/image-115.png 901w, http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/10\/image-115-300x134.png 300w, http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/10\/image-115-768x343.png 768w\" sizes=\"(max-width: 901px) 100vw, 901px\" \/><\/figure>\n\n\n\n<p><br>\u5728<mark>\u4eba\u5de5\u667a\u80fd<\/mark>\u9886\u57df\u6380\u8d77\u5de8\u6d6a\u7684 OpenAI o1 \u6a21\u578b\u53d1\u5e03\u4e09\u5468\u540e\uff0c\u4e00\u652f\u7531\u9ad8\u6821\u5e74\u8f7b\u7814\u7a76\u8005\u7ec4\u6210\u7684\u56e2\u961f\u4eca\u5929\u53d1\u5e03\u4e86\u9898\u4e3a &#8220;o1 Replication Journey: A Strategic Progress Report (o1 \u63a2\u7d22\u4e4b\u65c5\uff1a\u6218\u7565\u8fdb\u5c55\u62a5\u544a)&#8221; \u7684\u7814\u7a76\u8fdb\u5c55\u62a5\u544a\u3002\u8fd9\u4efd\u62a5\u544a\u7684\u72ec\u7279\u4e4b\u5904\u5728\u4e8e \uff081\uff09\u4e0d\u4ec5\u63d0\u51fa\u5e76\u9a8c\u8bc1\u4e86 \u201c\u65c5\u7a0b\u5b66\u4e60\u201d \u7684\u6280\u672f\u7684\u5de8\u5927\u6f5c\u529b\uff08\u7814\u7a76\u8005\u4e5f\u8ba4\u4e3a\u662f o1 \u53d6\u5f97\u6210\u529f\u7684\u5173\u952e\u6280\u672f\uff09\uff1a\u901a\u8fc7 327 \u6761\u8bad\u7ec3\u6837\u672c\uff0c\u9f13\u52b1\u6a21\u578b\u5b66\u4f1a\u53cd\u601d\u3001\u7ea0\u9519\u3001\u56de\u6eaf\uff0c\u5176\u5728\u590d\u6742\u6570\u5b66\u9898\u76ee\u4e0a<strong>\u8868\u73b0 \u7edd\u5bf9\u6027\u80fd\u5c31\u8d85\u8fc7\u4e86\u4f20\u7edf<mark>\u76d1\u7763\u5b66\u4e60<\/mark>\u00a08% \u4ee5\u4e0a\uff0c\u76f8\u5bf9\u6027\u80fd\u63d0\u5347\u8d85\u8fc7 20%<\/strong>;\uff082\uff09\u5e76\u4e14\uff0c\u5176\u524d\u6240\u672a\u6709\u7684\u900f\u660e\u5ea6\u548c\u5373\u65f6\u6027\uff0c\u4e0d\u4ec5\u8be6\u7ec6\u8bb0\u5f55\u4e86\u56e2\u961f\u5728\u590d\u73b0\u8fc7\u7a0b\u4e2d\u7684\u53d1\u73b0\u3001\u6311\u6218\u3001\u8bd5\u9519\u548c\u521b\u65b0\u65b9\u6cd5\uff0c\u66f4\u91cd\u8981\u7684\u662f\uff0c\u5b83\u5021\u5bfc\u4e86\u4e00\u79cd\u5168\u65b0\u7684 AI \u7814\u7a76\u8303\u5f0f\u3002\u7814\u7a76\u56e2\u961f\u8d1f\u8d23\u4eba\u8868\u793a\uff1a&#8221;\u00a0<strong>\u6211\u4eec\u7684\u4e3b\u8981\u76ee\u6807\u4e0d\u662f\u8fbe\u5230\u4e0e OpenAI \u7684 o1 \u76f8\u5f53\u7684\u6027\u80fd \u2014\u2014 \u8003\u8651\u5230\u53ef\u7528\u8d44\u6e90\u6709\u9650\uff0c\u8fd9\u662f\u4e00\u4e2a\u6781\u5177\u6311\u6218\u6027\u7684\u4efb\u52a1\u3002\u76f8\u53cd\uff0c\u6211\u4eec\u7684\u4f7f\u547d\u662f\u900f\u660e\u5730\u8bb0\u5f55\u548c\u5206\u4eab\u6211\u4eec\u7684\u63a2\u7d22\u8fc7\u7a0b\uff0c\u805a\u7126\u4e8e\u6211\u4eec\u9047\u5230\u7684\u6839\u672c\u95ee\u9898\uff0c\u53d1\u73b0\u65b0\u7684\u79d1\u5b66\u95ee\u9898\uff0c\u5e76\u8bc6\u522b\u5bfc\u81f4 o1 \u7684\u6210\u529f\u7684\u5173\u952e\u56e0\u7d20<\/strong>\uff0c\u5e76\u4e0e\u66f4\u5e7f\u6cdb\u7684 AI \u793e\u533a\u5206\u4eab\u6211\u4eec\u7684\u8bd5\u9519\u7ecf\u9a8c\u3002<strong>o1\u00a0\u6280\u672f\u65e0\u7591\u4f1a\u6210\u4e3a\u5168\u7403\u5404\u5927 AI \u79d1\u6280\u516c\u53f8\u4e89\u76f8\u590d\u73b0\u7684\u76ee\u6807\u3002\u5982\u679c\u6211\u4eec\u80fd\u591f\u53ca\u65e9\u5206\u4eab\u4e00\u4e9b\u590d\u73b0\u8fc7\u7a0b\u4e2d\u7684\u7ecf\u9a8c\u6559\u8bad\uff0c\u5c31\u80fd\u5e2e\u52a9\u5176\u4ed6\u516c\u53f8\u51cf\u5c11\u4e0d\u5fc5\u8981\u7684\u8bd5\u9519\uff0c\u4ece\u800c\u964d\u4f4e\u5168\u7403\u8303\u56f4\u5185\u00a0o1 \u6280\u672f\u590d\u73b0\u7684\u603b\u4f53\u6210\u672c\u548c\u65f6\u95f4\u3002\u8fd9\u4e0d\u4ec5\u6709\u5229\u4e8e\u63a8\u52a8\u6280\u672f\u7684\u5feb\u901f\u53d1\u5c55\uff0c\u4e5f\u80fd\u4fc3\u8fdb\u6574\u4e2a AI \u884c\u4e1a\u7684\u5171\u540c\u8fdb\u6b65\u3002<\/strong>\u201d<\/p>\n\n\n\n<figure class=\"wp-block-image size-large is-resized\"><img loading=\"lazy\" src=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/10\/image-124-1024x501.png\" alt=\"\" class=\"wp-image-21450\" width=\"604\" height=\"295\" srcset=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/10\/image-124-1024x501.png 1024w, http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/10\/image-124-300x147.png 300w, http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/10\/image-124-768x376.png 768w, http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/10\/image-124-1536x751.png 1536w, http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/10\/image-124.png 1615w\" sizes=\"(max-width: 604px) 100vw, 604px\" \/><figcaption><em><sup>\u56e2\u961f\u63d0\u51fa\u7684\u6a21\u578b\u5728\u540c\u4e00\u9053\u6570\u5b66\u9898\u4e0a\uff0c\u4e0e OpenAI \u7684 o1-preview \uff08\u7b54\u5bf9\uff09\u53ca GPT-4o\uff08\u7b54\u9519\uff09\u7684\u6bd4\u8f83\u5b9e\u4f8b\uff0c\u8bc1\u660e\u65c5\u7a0b\u5b66\u4e60\u4e0d\u65ad\u8bd5\u9519\u3001\u53cd\u601d\u3001\u81ea\u6211\u7ea0\u6b63\u7684\u80fd\u529b\u5728\u590d\u6742\u63a8\u7406\u4efb\u52a1\u573a\u666f\u4e0a\u975e\u5e38\u5173\u952e\u3002<\/sup><\/em><\/figcaption><\/figure>\n\n\n\n<ul><li>\u6280\u672f\u62a5\u544a\u94fe\u63a5\uff1ahttps:\/\/github.com\/GAIR-NLP\/O1-Journey\/blob\/main\/resource\/report.pdf<\/li><li>Github \u94fe\u63a5\uff1ahttps:\/\/github.com\/GAIR-NLP\/O1-Journey<\/li><li>o1 \u8ba8\u8bba\u8d44\u6e90\uff1ahttps:\/\/github.com\/GAIR-NLP\/O1-Journey\/tree\/main\/resource&#8217;<\/li><\/ul>\n\n\n\n<h3><strong>\u8be5\u62a5\u544a\u53d1\u73b0\u4e86\u4ec0\u4e48\uff1f\u4ece \u201c&#8221;\u6377\u5f84\u5b66\u4e60&#8221;\u201d \u5230 \u201c\u65c5\u7a0b\u5b66\u4e60\u201d\uff0c\u4ece \u201c\u6d6e\u5149\u63a0\u5f71\u201d \u5230 \u201c\u6df1\u8015\u7ec6\u4f5c\u201d<\/strong><\/h3>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" width=\"933\" height=\"346\" src=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/10\/image-125.png\" alt=\"\" class=\"wp-image-21454\" srcset=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/10\/image-125.png 933w, http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/10\/image-125-300x111.png 300w, http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/10\/image-125-768x285.png 768w\" sizes=\"(max-width: 933px) 100vw, 933px\" \/><\/figure>\n\n\n\n<p><sup>\u56fe\uff1a\u4ece &#8220;\u6377\u5f84\u5b66\u4e60&#8221; \u5230 &#8220;\u65c5\u7a0b\u5b66\u4e60&#8221; \u7684\u8303\u5f0f\u8f6c\u53d8\u3002\u8fd9\u662f\u4e00\u4e2a\u7528\u4e8e\u63a8\u7406\u4efb\u52a1\u7684\u641c\u7d22\u6811\u3002\u5bf9\u4e8e\u6570\u5b66\u95ee\u9898\u89e3\u51b3\u4efb\u52a1\uff0c\u6839\u8282\u70b9\u4ee3\u8868\u521d\u59cb\u95ee\u9898\uff0c\u800c\u53f6\u8282\u70b9\u5219\u662f\u6700\u7ec8\u7ed3\u8bba\u3002\u7eff\u8272\u8282\u70b9\u8868\u793a\u6b63\u786e\u7b54\u6848\uff0c\u7ea2\u8272\u8282\u70b9\u8868\u793a\u9519\u8bef\u7b54\u6848\u3002\u4f20\u7edf\u4e0a\uff0c\u5b66\u4e60\u4e3b\u8981\u96c6\u4e2d\u5728\u5bf9\u76f4\u63a5\u4ece\u6839\u5230\u53f6\u7684\u6377\u5f84\u8def\u5f84\u8fdb\u884c\u76d1\u7763\u8bad\u7ec3\u3002\u7136\u800c\uff0c\u672c\u7814\u7a76\u63a2\u7d22\u4e86\u5bf9\u6574\u4e2a\u63a2\u7d22\u8def\u5f84\u8fdb\u884c<mark>\u76d1\u7763\u5b66\u4e60<\/mark>\uff0c\u8fd9\u5305\u62ec\u4e86\u8bd5\u9519\u548c\u7ea0\u6b63\u7684\u8fc7\u7a0b\u3002<\/sup><\/p>\n\n\n\n<p>\u56e2\u961f\u8ba4\u4e3a\uff0c\u5927\u591a\u6570\u73b0\u6709\u7684<mark>\u673a\u5668\u5b66\u4e60<\/mark>\u6216\u5927\u6a21\u578b\u8bad\u7ec3\u65b9\u6cd5\uff08\u5982\u76d1\u7763\u5f0f\u5fae\u8c03\uff09\u90fd\u53ef\u4ee5\u88ab\u5f52\u7c7b\u4e3a<strong>\u00a0&#8220;\u6377\u5f84\u5b66\u4e60&#8221; (Shortcut Learning)<\/strong>\uff0c\u5373\u6a21\u578b\u5b66\u4e60\u5230\u8fbe\u6b63\u786e\u7b54\u6848\u7684\u76f4\u63a5\u8def\u5f84\u3002\u8fd9\u79cd\u4f20\u7edf\u8303\u5f0f\u867d\u7136\u5728\u7279\u5b9a\u3001\u660e\u786e\u5b9a\u4e49\u7684\u4efb\u52a1\u4e2d\u53ef\u80fd\u6709\u6548\uff0c\u4f46\u5728\u9762\u5bf9\u590d\u6742\u3001\u52a8\u6001\u548c\u5f00\u653e\u6027\u95ee\u9898\u65f6\u663e\u793a\u51fa\u660e\u663e\u7684\u5c40\u9650\u6027\u3002\u6377\u5f84\u5b66\u4e60\u5177\u6709\u4ee5\u4e0b\u51e0\u4e2a\u5173\u952e\u7279\u5f81\uff1a<strong>(1) \u6ce8\u91cd\u5feb\u901f\u7ed3\u679c<\/strong>\uff1a\u5f3a\u8c03\u5728\u77ed\u65f6\u95f4\u5185\u8fbe\u5230\u7279\u5b9a\u7684\u6027\u80fd\u6307\u6807\u6216\u5b8c\u6210\u7279\u5b9a\u4efb\u52a1\u3002<strong>(2) \u9ad8\u5ea6\u4f9d\u8d56\u6570\u636e<\/strong>\uff1a\u6027\u80fd\u6539\u8fdb\u901a\u5e38\u4f9d\u8d56\u4e8e\u589e\u52a0\u8bad\u7ec3\u6570\u636e\u91cf\uff0c\u800c\u975e\u6539\u8fdb\u5b66\u4e60\u7b97\u6cd5\u672c\u8eab\u3002<strong>(3) \u6cdb\u5316\u80fd\u529b\u6709\u9650<\/strong>\uff1a\u5728\u8bad\u7ec3\u6570\u636e\u5206\u5e03\u4e4b\u5916\u7684\u573a\u666f\u4e2d\uff0c\u6027\u80fd\u53ef\u80fd\u4f1a\u6025\u5267\u4e0b\u964d\u3002<strong>(4) \u7f3a\u4e4f\u81ea\u6211\u7ea0\u6b63\u80fd\u529b<\/strong>\uff1a\u8fd9\u4e9b\u7cfb\u7edf\u901a\u5e38\u7f3a\u4e4f\u8bc6\u522b\u548c\u7ea0\u6b63\u81ea\u8eab\u9519\u8bef\u7684\u80fd\u529b\u3002\u5c3d\u7ba1\u6377\u5f84\u5b66\u4e60\u63a8\u52a8\u4e86<mark>\u4eba\u5de5\u667a\u80fd<\/mark>\u7684\u8bb8\u591a\u8fdb\u6b65\uff0c\u4f46\u5b83\u96be\u4ee5\u4ea7\u751f\u771f\u6b63\u667a\u80fd\u548c\u53ef\u9760\u7684<mark>\u4eba\u5de5\u667a\u80fd<\/mark>\u7cfb\u7edf\uff0c\u65e0\u6cd5\u5e94\u5bf9\u73b0\u5b9e\u4e16\u754c\u6311\u6218\u7684\u590d\u6742\u6027\u3002\u968f\u7740\u6211\u4eec\u8ffd\u6c42\u66f4\u9ad8\u7ea7\u5f62\u5f0f\u7684<mark>\u4eba\u5de5\u667a\u80fd<\/mark>\u751a\u81f3\u8d85\u7ea7\u667a\u80fd\uff0c\u8fd9\u79cd\u65b9\u6cd5\u7684\u5c40\u9650\u6027\u53d8\u5f97\u8d8a\u6765\u8d8a\u660e\u663e\u3002<br>\u8ba4\u8bc6\u5230\u8fd9\u4e9b\u7f3a\u70b9\uff0c\u672c\u6587\u63d0\u51fa\u4e86\u4e00\u79cd\u540d\u4e3a<strong>\u00a0&#8220;\u65c5\u7a0b\u5b66\u4e60&#8221;\uff08Journey Learning)\u00a0<\/strong>\u7684\u65b0\u8303\u5f0f\u3002\u65c5\u7a0b\u5b66\u4e60\u65e8\u5728\u4f7f<mark>\u4eba\u5de5\u667a\u80fd<\/mark>\u7cfb\u7edf\u80fd\u591f\u901a\u8fc7\u5b66\u4e60\u3001\u53cd\u601d\u3001\u56de\u6eaf\u548c\u9002\u5e94\u4e0d\u65ad\u8fdb\u6b65\uff0c\u5c31\u50cf\u4eba\u7c7b\u4e00\u6837\uff0c\u4ece\u800c\u5c55\u73b0\u51fa\u66f4\u9ad8\u6c34\u5e73\u7684\u667a\u80fd\u3002<\/p>\n\n\n\n<p>\u5982\u56fe\u6240\u793a\uff0c\u56e2\u961f\u63d0\u51fa\u4e86 &#8220;\u65c5\u7a0b\u5b66\u4e60&#8221; \u8303\u5f0f\uff0c\u5b83\u9f13\u52b1\u6a21\u578b\u4e0d\u4ec5\u5b66\u4e60\u6377\u5f84\uff0c\u8fd8\u8981\u5b66\u4e60\u5b8c\u6574\u7684\u63a2\u7d22\u8fc7\u7a0b\uff0c\u5305\u62ec\u8bd5\u9519\u3001\u53cd\u601d\u548c\u56de\u6eaf\u3002\u4ec5\u4f7f\u7528 327 \u4e2a\u8bad\u7ec3\u6837\u672c\uff0c\u4e0d\u501f\u52a9\u4efb\u4f55\u989d\u5916\u8bad\u7ec3\u6280\u5de7\uff0c<strong>\u65c5\u7a0b\u5b66\u4e60\u5728 MATH \u6570\u636e\u96c6\u4e0a\u7684\u8868\u73b0\u5c31\u8d85\u8fc7\u4e86\u4f20\u7edf<mark>\u76d1\u7763\u5b66\u4e60<\/mark>\u00a08% \u4ee5\u4e0a\uff0c\u5c55\u793a\u4e86\u5176\u6781\u5176\u5f3a\u5927\u7684\u6f5c\u529b\u3002\u4f5c\u8005\u4e5f\u8ba4\u4e3a\u8fd9\u662f o1 \u6280\u672f\u4e2d\u6700\u5173\u952e\u7684\u7ec4\u6210\u90e8\u5206<\/strong>\u3002<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" src=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/10\/image-126.png\" alt=\"\" class=\"wp-image-21459\" width=\"529\" height=\"294\" srcset=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/10\/image-126.png 766w, http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/10\/image-126-300x167.png 300w\" sizes=\"(max-width: 529px) 100vw, 529px\" \/><figcaption><em><sup>\u8868\uff1a\u6377\u5f84\u5b66\u4e60\u548c\u65c5\u7a0b\u5b66\u4e60\u7684\u591a\u7ef4\u5ea6\u6bd4\u8f83<\/sup><\/em><\/figcaption><\/figure><\/div>\n\n\n\n<p><strong>\u6a21\u578b\u751f\u6210\u7684\u4f8b\u5b50<\/strong>:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" width=\"649\" height=\"840\" src=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/10\/image-127.png\" alt=\"\" class=\"wp-image-21463\" srcset=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/10\/image-127.png 649w, http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/10\/image-127-232x300.png 232w\" sizes=\"(max-width: 649px) 100vw, 649px\" \/><\/figure>\n\n\n\n<h3><strong>\u6280\u672f\u7ec6\u8282\u662f\u4ec0\u4e48\uff1fo1 \u6280\u672f\u63a2\u7d22\u4e4b\u65c5<\/strong><\/h3>\n\n\n\n<figure class=\"wp-block-image\"><img src=\"https:\/\/github.com\/GAIR-NLP\/O1-Journey\/raw\/main\/images\/exploration_journey.png\" alt=\"\"\/><\/figure>\n\n\n\n<p>\u5982\u56fe\u6240\u793a\uff0c\u4ece OpenAI o1 9 \u6708 12 \u65e5\u53d1\u5e03\u7684\u8fc7\u53bb\u4e09\u5468\u5185\uff0c\u8be5\u56e2\u961f\u5bf9 o1 \u6280\u672f\u5df2\u7ecf\u5b8c\u6210\u4e86\u7cfb\u7edf\u5316\u3001\u591a\u9636\u6bb5\u7684\u63a2\u7d22\u3002\u8fd9\u4e2a\u8fc7\u7a0b\u59cb\u4e8e\u4f7f\u7528 OlympicArena \u6570\u636e\u96c6\u5bf9 o1 \u8fdb\u884c\u521d\u6b65\u8bc4\u4f30\uff08\u5982\u4e0b\u8868\u683c\uff09\uff0c\u65e8\u5728\u5168\u9762\u4e86\u89e3\u5176\u5728\u591a\u4e2a\u5b66\u79d1\u9886\u57df\u7684\u8ba4\u77e5\u80fd\u529b\u3002<strong>\u7814\u7a76\u7684\u6838\u5fc3\u96c6\u4e2d\u5728 o1 \u601d\u7ef4\u7ed3\u6784\u7684\u5206\u6790\u4e0a\uff0c\u7279\u522b\u5173\u6ce8 &#8220;\u957f\u601d\u7ef4&#8221; \u8fd9\u4e00\u5173\u952e\u6982\u5ff5<\/strong>\u3002<strong>\u6574\u4e2a\u63a2\u7d22\u6280\u672f\u6d89\u53ca\u591a\u4e2a\u590d\u6742\u7684\u6b65\u9aa4\uff0c\u5305\u62ec\u5956\u52b1\u6a21\u578b\u7684\u5f00\u53d1\u3001\u5728\u7b56\u7565\u63a8\u7406\u6811\u7684\u6784\u5efa\uff0c\u4ee5\u53ca\u5c06\u8fd9\u4e9b\u5143\u7d20\u6574\u5408\u4e3a\u8fde\u8d2f\u7684\u957f\u601d\u7ef4\u8fc7\u7a0b<\/strong>\u3002\u6574\u4e2a\u7814\u7a76\u8fc7\u7a0b\u91c7\u7528\u4e86\u8fed\u4ee3\u548c\u5e76\u884c\u7684\u65b9\u6cd5\u3002\u8fdb\u884c\u4e86\u591a\u6b21\u5c1d\u8bd5\uff0c\u4e0d\u65ad\u8c03\u6574\u548c\u5b8c\u5584\u6280\u672f\u548c\u65b9\u6cd5\u3002\u8bc4\u4f30\u8fc7\u7a0b\u5305\u62ec\u5b9a\u91cf\u548c\u5b9a\u6027\u5206\u6790\uff0c\u7ed3\u5408\u4eba\u5de5\u68c0\u67e5\u548c\u4e13\u95e8\u7684\u5206\u6790\u5de5\u5177\uff0c\u4ee5\u786e\u4fdd\u7814\u7a76\u7684\u51c6\u786e\u6027\u548c\u6709\u6548\u6027\u3002<\/p>\n\n\n\n<p>\u56e2\u961f\u5f3a\u8c03\u4e86\u63a2\u7d22\u8fc7\u7a0b\u7684\u91cd\u8981\u6027\uff0c\u800c\u4e0d\u4ec5\u4ec5\u5173\u6ce8\u6700\u7ec8\u7ed3\u679c\u3002\u8fd9\u79cd\u91cd\u89c6\u79d1\u7814\u63a2\u7d22\u8fc7\u7a0b\u7684\u601d\u8def\u4e0e\u56e2\u63a8\u63d0\u51fa\u7684 &#8220;\u65c5\u7a0b\u5b66\u4e60&#8221; \u8303\u5f0f\u76f8\u4e00\u81f4\uff0c\u5f3a\u8c03\u4e86\u5728\u590d\u6742\u3001\u52a8\u6001\u73af\u5883\u4e2d\u4e0d\u65ad\u8bd5\u9519\u3001\u7ea0\u9519\u7684\u6301\u7eed\u5b66\u4e60\u548c\u9002\u5e94\u7684\u91cd\u8981\u6027\u3002\u901a\u8fc7\u8fd9\u4e2a\u8fc7\u7a0b\uff0c\u4e0d\u4ec5\u83b7\u5f97\u4e86\u5173\u4e8e o1 \u6280\u672f\u7684\u6df1\u5165\u7406\u89e3\uff0c\u8fd8\u5f00\u53d1\u4e86\u4e00\u5957\u63a2\u7d22\u672a\u77e5 AI \u6280\u672f\u7684\u7cfb\u7edf\u65b9\u6cd5\u3002\u7814\u7a76\u8fc7\u7a0b\u6d89\u53ca\u51b3\u7b56\u5206\u6790\u3001\u6311\u6218\u8bc6\u522b\u4ee5\u53ca\u521b\u65b0\u89e3\u51b3\u65b9\u6848\u7684\u5f00\u53d1\u3002\u6700\u7ec8\uff0c\u8fd9\u9879\u7814\u7a76\u4e0d\u4ec5\u4ec5\u662f\u5bf9 o1 \u6280\u672f\u7684\u63a2\u7d22\uff0c\u66f4\u662f\u5bf9\u5148\u8fdb AI \u7cfb\u7edf\u7814\u7a76\u65b9\u6cd5\u7684\u4e00\u6b21\u5b9e\u8df5\u548c\u9a8c\u8bc1\u3002\u901a\u8fc7\u5206\u4eab\u7814\u7a76\u8fc7\u7a0b\uff0c\u5305\u62ec\u6210\u529f\u548c\u5931\u8d25\u7684\u7ecf\u9a8c\uff0c\u65e8\u5728\u4e3a AI \u7814\u7a76\u793e\u533a\u63d0\u4f9b\u6709\u4ef7\u503c\u7684\u89c1\u89e3\uff0c\u4fc3\u8fdb\u8be5\u9886\u57df\u7684\u96c6\u4f53\u8fdb\u6b65\u3002<br>\u8fd9\u4e2a\u63a2\u7d22\u8fc7\u7a0b\u5c55\u793a\u4e86\u5f00\u653e\u3001\u534f\u4f5c\u7684 AI \u7814\u7a76\u5728\u63a8\u52a8\u6280\u672f\u8fb9\u754c\u65b9\u9762\u7684\u91cd\u8981\u6027\uff0c\u4e3a\u672a\u6765\u66f4\u590d\u6742\u7684 AI \u7cfb\u7edf\u7814\u7a76\u63d0\u4f9b\u4e86\u6709\u76ca\u7684\u53c2\u8003\u548c\u6307\u5bfc\u3002<br>\u5177\u4f53\u5730\uff0c\u56e2\u961f\u51dd\u70bc\u4e86\u590d\u73b0 o1 \u8fc7\u7a0b\u4e2d\u7684\u51e0\u4e2a\u5173\u952e\u95ee\u9898\uff0c\u5e76\u505a\u4e86\u975e\u5e38\u7ec6\u81f4\u7684\u63a2\u7d22\u5206\u4eab\uff1a<\/p>\n\n\n\n<ul><li>Q1: o1 \u7684\u601d\u7ef4\u94fe\u662f\u4ec0\u4e48\u6837\u5b50\u7684\uff1f<\/li><li>Q2: \u957f\u601d\u7ef4 (Long thought) \u662f\u5982\u4f55\u5de5\u4f5c\u7684\uff1f<\/li><li>Q3: \u5982\u4f55\u6784\u5efa\u957f\u601d\u7ef4\uff1f<\/li><li>Q4: \u5982\u4f55\u6784\u5efa\u5956\u52b1\u6a21\u578b\uff1f<\/li><li>Q5: \u5982\u4f55\u6784\u5efa on-policy \u63a8\u7406\u6811\uff1f<\/li><li>Q6: \u5982\u4f55\u4ece\u63a8\u7406\u6811\u4e2d\u63a8\u5bfc\u51fa\u957f\u601d\u7ef4\uff1f<\/li><li>Q7: \u5982\u4f55\u8bc4\u4f30\u6211\u4eec\u7684\u5c1d\u8bd5\u65b9\u6cd5\uff1f<\/li><li>Q8: \u5982\u4f55\u8bad\u7ec3\u6211\u4eec\u7684\u6a21\u578b\uff1f<\/li><li>Q9: \u4ec0\u4e48\u662f\u4eba\u7c7b\u548c AI \u534f\u540c\u6807\u6ce8\u7684\u6709\u6548\u7b56\u7565\uff1f<\/li><\/ul>\n\n\n\n<p> <li>Q1: o1 \u7684\u601d\u7ef4\u94fe\u662f\u4ec0\u4e48\u6837\u5b50\u7684\uff1f<\/li> \u7ecf\u8fc7\u63a2\u7d22\uff0c\u56e2\u961f\u786e\u5b9a\u9700\u8981\u6784\u5efa\u7684\u957f\u601d\u7ef4\u6570\u636e\u5e94\u5177\u6709\u4ee5\u4e0b\u7279\u5f81\uff1a<\/p>\n\n\n\n<ul><li><strong>\u8fed\u4ee3\u5f0f\u95ee\u9898\u89e3\u51b3<\/strong>\uff1a\u6a21\u578b\u9996\u5148\u5b9a\u4e49\u51fd\u6570\uff0c\u7136\u540e\u9010\u6b65\u63a2\u7d22\u76f8\u5173\u8868\u8fbe\u5f0f\uff0c\u5c06\u590d\u6742\u65b9\u7a0b\u5206\u89e3\u4e3a\u66f4\u7b80\u5355\u7684\u7ec4\u6210\u90e8\u5206\uff0c\u53cd\u6620\u4e86\u4e00\u79cd\u7ed3\u6784\u5316\u548c\u6709\u6761\u7406\u7684\u65b9\u6cd5\u3002&nbsp;<\/li><li><strong>\u5173\u952e\u601d\u7ef4\u6307\u6807<\/strong>\uff1a\u4f7f\u7528 &#8220;Therefore&#8221; \u8868\u793a\u7ed3\u8bba\uff0c&#8221;Alternatively&#8221; \u63a2\u7d22\u4e0d\u540c\u8def\u5f84\uff0c&#8221;Wait&#8221; \u8868\u793a\u53cd\u601d\uff0c\u4ee5\u53ca &#8220;Let me compute&#8221; \u8fc7\u6e21\u5230\u8ba1\u7b97\uff0c\u7a81\u51fa\u4e86\u6a21\u578b\u7684\u63a8\u7406\u9636\u6bb5\u3002&nbsp;<\/li><li><strong>\u9012\u5f52\u548c\u53cd\u601d\u65b9\u6cd5<\/strong>\uff1a\u6a21\u578b\u7ecf\u5e38\u91cd\u65b0\u8bc4\u4f30\u548c\u9a8c\u8bc1\u4e2d\u95f4\u7ed3\u679c\uff0c\u4f7f\u7528\u9012\u5f52\u7ed3\u6784\u786e\u4fdd\u4e00\u81f4\u6027\uff0c\u8fd9\u5728\u4e25\u8c28\u7684\u6570\u5b66\u63a8\u7406\u4e2d\u5f88\u5178\u578b\u3002&nbsp;<\/li><li><strong>\u5047\u8bbe\u63a2\u7d22<\/strong>\uff1a\u6a21\u578b\u6d4b\u8bd5\u4e0d\u540c\u7684\u5047\u8bbe\uff0c\u968f\u7740\u83b7\u5f97\u66f4\u591a\u4fe1\u606f\u800c\u8c03\u6574\u5176\u65b9\u6cd5\uff0c\u5c55\u793a\u4e86\u63a8\u7406\u8fc7\u7a0b\u4e2d\u7684\u7075\u6d3b\u6027<\/li><li><strong>\u7ed3\u8bba\u548c\u9a8c\u8bc1<\/strong>\uff1a\u6700\u540e\uff0c\u6a21\u578b\u89e3\u65b9\u7a0b\u5e76\u9a8c\u8bc1\u7ed3\u679c\uff0c\u5f3a\u8c03\u5728\u5b8c\u6210\u4e4b\u524d\u9a8c\u8bc1\u7ed3\u8bba\u7684\u91cd\u8981\u6027\u3002&nbsp;<\/li><\/ul>\n\n\n\n<p><strong>Q2: \u957f\u601d\u7ef4 (Long thought) \u662f\u5982\u4f55\u5de5\u4f5c\u7684\uff1f<\/strong><br>\u8fd9\u662f\u56e2\u961f\u8ba4\u4e3a\u91cd\u8981\u7684\u95ee\u9898\u3002\u7136\u800c\uff0c\u5728\u5f53\u524d\u7684\u7814\u7a76\u9636\u6bb5\uff0c\u8be5\u56e2\u961f\u4ec5\u4ec5\u63d0\u51fa\u4e86\u731c\u60f3\u3002\u56e2\u961f\u8ba4\u4e3a\u8fd8\u6ca1\u6709\u8db3\u591f\u7684\u7ecf\u9a8c\u8bc1\u636e\u6765\u9a8c\u8bc1\u5b83\u4eec\u7684\u51c6\u786e\u6027\uff0c\u8fd9\u4e5f\u662f\u672a\u6765\u9700\u8981\u91cd\u70b9\u5c55\u5f00\u7684\u5de5\u4f5c\u3002<br><strong>o1 \u957f\u601d\u7ef4\u65b9\u6cd5\u7684\u663e\u8457\u6210\u529f\u53ef\u4ee5\u5f52\u56e0\u4e8e\u5728\u4e0a\u8ff0\u4e2d\u4ecb\u7ecd\u7684\u65c5\u7a0b\u5b66\u4e60 (Journey Learning)<\/strong>\u3002\u4e0e\u4f20\u7edf\u7684\u6377\u5f84\u5b66\u4e60 (Shortcut Learning) \u4e0d\u540c\uff0c\u65c5\u7a0b\u5b66\u4e60\u5141\u8bb8\u6a21\u578b\u63a2\u7d22<strong>\u6574\u4e2a\u51b3\u7b56\u8f68\u8ff9<\/strong>\uff0c\u6a21\u4eff\u4eba\u7c7b\u7684\u95ee\u9898\u89e3\u51b3\u8fc7\u7a0b\u3002\u8fd9\u79cd\u5168\u9762\u7684\u63a2\u7d22\u4f7f o1 \u80fd\u591f\u8003\u8651<strong>\u591a\u79cd\u89e3\u51b3\u65b9\u6848\u8def\u5f84\uff0c\u4ece\u9519\u8bef\u4e2d\u5b66\u4e60\uff0c\u5e76\u7406\u89e3\u5b8c\u6574\u7684\u95ee\u9898\u89e3\u51b3\u8fc7\u7a0b<\/strong>\u3002\u901a\u8fc7\u7ecf\u5386\u6b63\u786e\u548c\u9519\u8bef\u7684\u8def\u5f84\uff0c\u6a21\u578b\u53d1\u5c55\u51fa\u5f3a\u5927\u7684\u9519\u8bef\u5904\u7406\u548c\u81ea\u6211\u7ea0\u6b63\u80fd\u529b\uff0c\u589e\u5f3a\u4e86\u5176\u9002\u5e94\u65b0\u6311\u6218\u7684\u80fd\u529b\u3002<strong>\u8fd9\u79cd\u65b9\u6cd5\u57f9\u517b\u4e86\u5bf9\u95ee\u9898\u9886\u57df\u66f4\u6df1\u5165\u7684\u7406\u89e3\uff0c\u4e0d\u4ec5\u4ec5\u662f\u77e5\u9053\u6b63\u786e\u7b54\u6848\uff0c\u800c\u662f\u7406\u89e3\u4e3a\u4ec0\u4e48\u4ee5\u53ca\u5982\u4f55\u5f97\u51fa\u7b54\u6848<\/strong>\u3002\u65c5\u7a0b\u5b66\u4e60\u8fc7\u7a0b\u5bc6\u5207\u6a21\u62df\u4eba\u7c7b\u7684\u8ba4\u77e5\u8fc7\u7a0b\uff0c\u5305\u542b\u8bd5\u9519\u3001\u53cd\u601d\u548c\u8c03\u6574\u3002\u8fd9\u5927\u5927\u589e\u52a0\u4e86\u6a21\u578b\u8f93\u51fa\u5185\u5bb9\u7684\u53ef\u89e3\u91ca\u6027\uff0c\u56e0\u4e3a o1 \u53ef\u4ee5\u63d0\u4f9b\u8be6\u7ec6\u7684\u89e3\u51b3\u6b65\u9aa4\u5e76\u89e3\u91ca\u5176\u63a8\u7406\u8fc7\u7a0b\uff0c\u5305\u62ec\u5982\u4f55\u4ece\u9519\u8bef\u4e2d\u6062\u590d\u3002\u56e0\u6b64\uff0c\u57fa\u4e8e\u65c5\u7a0b\u5b66\u4e60\u7684 o1 \u957f\u601d\u7ef4\u8fc7\u7a0b\u4e0d\u4ec5\u4ec5\u662f\u8ba1\u7b97\u65f6\u95f4\u7684\u6269\u5c55\uff0c\u8fd8\u4ee3\u8868\u4e86\u4e00\u79cd\u5f7b\u5e95\u7684\u3001\u4eba\u7c7b\u822c\u7684\u63a8\u7406\u63a2\u7d22\u3002\u8fd9\u79cd\u65b9\u6cd5\u4f7f o1 \u80fd\u591f\u5904\u7406\u66f4\u590d\u6742\u7684\u95ee\u9898\uff0c\u63d0\u4f9b\u66f4\u53ef\u9760\u548c\u53ef\u89e3\u91ca\u7684\u7b54\u6848\uff0c\u5e76\u5728\u9762\u5bf9\u65b0\u6311\u6218\u65f6\u8868\u73b0\u51fa\u66f4\u5927\u7684\u9002\u5e94\u6027\uff0c\u4ece\u800c\u89e3\u91ca\u4e86\u5b83\u5728\u5404\u79cd\u4efb\u52a1\u4e2d\u7684\u5353\u8d8a\u8868\u73b0\u3002<\/p>\n\n\n\n<p><br><strong>Q3: \u5982\u4f55\u6784\u5efa\u957f\u601d\u7ef4\uff1f<\/strong><br><strong>\u5c1d\u8bd5 1\uff1a\u57fa\u4e8e LLM \u548c\u5956\u52b1\u7684\u6811\u641c\u7d22<\/strong>\u00a0\u6839\u636e\u5728 Q1 \u4e2d\u5bf9\u957f\u601d\u7ef4\u7684\u89c2\u5bdf\uff0c\u5176\u6700\u663e\u8457\u7684\u7279\u5f81\u662f\u5728\u63a8\u7406\u4ea7\u751f\u9519\u8bef\u65f6\u6216\u9047\u5230\u5197\u4f59\u7684\u63a8\u7406\u6b65\u9aa4\u65f6\u5c1d\u8bd5\u53cd\u601d\u548c\u56de\u6eaf\u3002\u8fd9\u7c7b\u4f3c\u4e8e\u5728\u63a8\u7406\u6811\u4e0a\u641c\u7d22\u95ee\u9898\u7684\u89e3\u51b3\u65b9\u6848\uff0c\u5728\u9519\u8bef\u8282\u70b9\u5904\u56de\u6eaf\uff0c\u76f4\u5230\u627e\u5230\u6b63\u786e\u7684\u89e3\u51b3\u8def\u5f84\u3002\u4e3a\u5b9e\u73b0\u8fd9\u4e00\u70b9\uff0c\u9700\u8981\u6784\u5efa\u4e00\u68f5\u63a8\u7406\u6811\uff0c\u5176\u4e2d\u6839\u8282\u70b9\u4ee3\u8868\u95ee\u9898\uff0c\u5176\u4ed6\u6bcf\u4e2a\u8282\u70b9\u4ee3\u8868\u4e00\u4e2a\u63a8\u7406\u6b65\u9aa4\u3002\u4ece\u6839\u5230\u4efb\u4f55\u8282\u70b9\u7684\u8def\u5f84\u4ee3\u8868\u4ece\u95ee\u9898\u5230\u8be5\u7ed3\u8bba\u7684\u63a8\u7406\u8fc7\u7a0b\u3002\u6b64\u5916\uff0c\u56de\u6eaf\u548c\u53cd\u601d\u5fc5\u987b\u57fa\u4e8e\u9519\u8bef\u7684\u63a8\u7406\u6b65\u9aa4\uff0c\u8fd9\u9700\u8981\u4e00\u4e2a\u66f4\u7ec6\u7c92\u5ea6\u7684\u5956\u52b1\u6a21\u578b\uff08\u5373\u8fc7\u7a0b\u7ea7\uff09\u6765\u6307\u793a\u6811\u4e2d\u6bcf\u4e2a\u8282\u70b9\u7684\u6b63\u786e\u6027\u3002\u901a\u8fc7\u5728\u5177\u6709\u8fc7\u7a0b\u7ea7\u5956\u52b1\u7684\u63a8\u7406\u6811\u4e0a\u6267\u884c\u641c\u7d22\u7b97\u6cd5\uff0c\u53ef\u4ee5\u5c06\u9519\u8bef\u6b65\u9aa4\u6574\u5408\u5230\u601d\u7ef4\u94fe\u4e2d\uff0c\u4ece\u800c\u6784\u5efa\u5305\u542b\u56de\u6eaf\u548c\u53cd\u601d\u7b49\u884c\u4e3a\u7684\u957f\u601d\u7ef4\u3002<br><strong>\u5c1d\u8bd5 2\uff1a\u63d0\u8bae &#8211; \u6279\u8bc4\u5faa\u73af\u00a0<\/strong>\u5c1d\u8bd5 1 \u901a\u8fc7\u57fa\u4e8e\u9884\u5b9a\u4e49\u89c4\u5219\u5728\u6811\u4e0a\u6267\u884c\u641c\u7d22\u6765\u6784\u5efa\u957f\u601d\u7ef4\uff0c\u4f46\u8fd9\u9650\u5236\u4e86\u56de\u6eaf\u548c\u53cd\u601d\u7b49\u884c\u4e3a\u7684\u81ea\u7531\u5ea6\u3002\u56e0\u6b64\uff0c\u56e2\u961f\u5c1d\u8bd5\u8ba9<mark>\u6a21\u578b\u9009\u62e9<\/mark>\u81ea\u5df1\u5f53\u524d\u7684\u884c\u4e3a\u3002\u56e2\u961f\u6784\u5efa\u4e86\u4e00\u4e2a\u63d0\u8bae &#8211; \u6279\u8bc4\u5faa\u73af\uff0c\u5176\u4e2d\u4e3a\u6a21\u578b\u9884\u5b9a\u4e49\u4e86\u4e00\u4e9b\u53ef\u80fd\u7684\u884c\u4e3a\uff08\u5373\u7ee7\u7eed\u3001\u56de\u6eaf\u3001\u53cd\u601d\u3001\u7ec8\u6b62\uff09\uff0c\u5e76\u8ba9\u6a21\u578b\u81ea\u8eab\u9009\u62e9\u884c\u4e3a\u6765\u6784\u5efa\u63a8\u7406\u6811\u3002\u5982\u679c\u6811\u6ca1\u6709\u8fbe\u5230\u6700\u7ec8\u7b54\u6848\uff0c\u53ef\u4ee5\u5c06\u8fd9\u4e2a\u8d1f\u9762\u4fe1\u53f7\u544a\u77e5\u6a21\u578b\uff0c\u5f15\u5bfc\u5b83\u53cd\u601d\u548c\u7ea0\u6b63\u5176\u65b9\u6cd5\u3002<br><strong>\u5c1d\u8bd5 3\uff1a\u591a\u667a\u80fd\u4f53\u65b9\u6cd5<\/strong>\u00a0\u57fa\u4e8e\u63a8\u7406\u6811\u6784\u5efa\u957f\u601d\u7ef4\u5b58\u5728\u51e0\u4e2a\u6311\u6218\uff0c\u5305\u62ec\u5b58\u5728\u8bb8\u591a\u5197\u4f59\u7684\u65e0\u6548\u8282\u70b9\uff0c\u4ee5\u53ca\u5b58\u5728\u4e0d\u4f9d\u8d56\u4e8e\u53cd\u601d\u884c\u4e3a\u7684\u63a8\u7406\u6b65\u9aa4\uff0c\u4ece\u800c\u5f15\u8d77\u6784\u5efa\u7684\u957f\u601d\u7ef4<mark>\u903b\u8f91<\/mark>\u4e0d\u4e00\u81f4\u3002\u4e3a\u89e3\u51b3\u8fd9\u4e2a\u95ee\u9898\uff0c\u56e2\u961f\u8bbe\u8ba1\u4e86\u4e00\u4e2a\u5229\u7528\u591a\u667a\u80fd\u4f53\u8fa9\u8bba\u7684\u7b97\u6cd5\uff0c\u5176\u4e2d\u4e00\u4e2a\u667a\u80fd\u4f53\u5145\u5f53\u7b56\u7565\u6a21\u578b\uff0c\u6301\u7eed\u63a8\u7406\uff0c\u800c\u53e6\u4e00\u4e2a\u667a\u80fd\u4f53\u5145\u5f53\u8bc4\u8bba\u6a21\u578b\uff0c\u6307\u793a\u7b56\u7565\u6a21\u578b\u662f\u5426\u5e94\u8be5\u7ee7\u7eed\u5f53\u524d\u63a8\u7406\u6216\u6267\u884c\u56de\u6eaf\u7b49\u884c\u4e3a\u3002\u4e24\u4e2a\u667a\u80fd\u4f53\u8fdb\u884c\u6301\u7eed\u5bf9\u8bdd\uff0c\u5728\u627e\u5230\u6b63\u786e\u7b54\u6848\u65f6\u81ea\u7136\u6784\u5efa\u957f\u601d\u7ef4\u6570\u636e\u96c6\u3002<br><strong>\u5c1d\u8bd5 4\uff1a\u5b8c\u6574\u7684\u4eba\u7c7b\u601d\u7ef4\u8fc7\u7a0b\u6ce8\u91ca\u00a0<\/strong>\u5f53\u4eba\u7c7b\u5904\u7406\u63a8\u7406\u95ee\u9898\u65f6\uff0c\u4ed6\u4eec\u901a\u5e38\u4e0d\u4f1a\u4e0d\u65ad\u5730\u5411\u524d\u63a8\u7406\u76f4\u5230\u89e3\u51b3\u95ee\u9898\u6216\u5931\u8d25\uff1b\u76f8\u53cd\uff0c\u4ed6\u4eec\u5728\u65e0\u6cd5\u7ee7\u7eed\u65f6\u4f1a\u53cd\u601d\u3001\u56de\u6eaf\u548c\u91cd\u5199\u63a8\u7406\u3002\u8fd9\u79cd\u884c\u4e3a\u4e0e\u957f\u601d\u7ef4\u7684\u7279\u5f81\u9ad8\u5ea6\u4e00\u81f4\u3002\u56e0\u6b64\uff0c\u53ef\u4ee5\u5fe0\u5b9e\u4e14\u5168\u9762\u5730\u8bb0\u5f55\u4eba\u7c7b\u89e3\u51b3\u63a8\u7406\u4efb\u52a1\u7684\u8fc7\u7a0b\uff0c\u4ece\u800c\u4ea7\u751f\u9ad8\u8d28\u91cf\u7684\u957f\u601d\u7ef4\u3002<\/p>\n\n\n\n<p><br><strong>Q4: \u5982\u4f55\u6784\u5efa\u5956\u52b1\u6a21\u578b\uff1f<br><\/strong>\u4f7f\u7528\u5956\u52b1\u6a21\u578b\u7684\u7b2c\u4e00\u6b65\u662f\u5b9a\u4e49\u7c92\u5ea6\u3002\u56e2\u961f\u7684\u76ee\u6807\u4e0d\u4ec5\u4ec5\u662f\u5173\u6ce8\u6700\u7ec8\u7ed3\u679c\uff0c\u800c\u662f\u4e13\u95e8\u63d0\u9ad8 LLMs \u5728\u53cd\u601d\u3001\u56de\u6eaf\u548c\u76f8\u5173\u8ba4\u77e5\u8fc7\u7a0b\u65b9\u9762\u7684\u80fd\u529b\u3002\u56e0\u6b64\uff0c\u56e2\u961f\u5c06\u8bc4\u4f30\u7c92\u5ea6\u5b9a\u4e49\u5728\u6b65\u9aa4\u5c42\u9762\u3002\u5177\u4f53\u6765\u8bf4\uff0c\u56e2\u961f\u4f7f\u7528\u6765\u81ea Abel \u7684\u5fae\u8c03\u6570\u636e\uff0c\u901a\u8fc7\u884c\u53f7\u4f7f\u89e3\u51b3\u65b9\u6848\u53d8\u5f97\u6e05\u6670\u53ef\u8fa8\u3002<br>\u5b9e\u73b0\u5956\u52b1\u6a21\u578b\u7684\u8fc7\u7a0b\u53ef\u4ee5\u4f7f\u7528\u5f00\u6e90\u6a21\u578b\u6216\u662f\u8c03\u7528\u95ed\u6e90\u6a21\u578b\u7684 api\u3002\u56e2\u961f\u6bd4\u8f83\u4e86\u4e0d\u540c\u5956\u52b1\u6a21\u578b\u5728 PRM800K \u548c MR-GSM8K \u5b50\u96c6\u4e0a\u7684\u5143\u8bc4\u4f30\u8868\u73b0\u3002\u5982\u4e0b\u8868\u683c\u5c55\u793a\u4e86\u7ed3\u679c\uff0c\u5176\u4e2d\uff0co1-mini \u5728\u4e0d\u540c\u6570\u636e\u96c6\u4e0a\u8868\u73b0\u6700\u4f73\uff0c\u8bc1\u660e\u5176\u662f\u4e00\u4e2a\u826f\u597d\u7684\u5956\u52b1\u6a21\u578b\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" width=\"874\" height=\"309\" src=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/10\/image-129.png\" alt=\"\" class=\"wp-image-21472\" srcset=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/10\/image-129.png 874w, http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/10\/image-129-300x106.png 300w, http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/10\/image-129-768x272.png 768w\" sizes=\"(max-width: 874px) 100vw, 874px\" \/><\/figure>\n\n\n\n<p><strong>Q5: \u5982\u4f55\u6784\u5efa on-policy \u63a8\u7406\u6811\uff1f<\/strong><\/p>\n\n\n\n<p>\u6784\u5efa\u63a8\u7406\u6811\u9700\u8981\u4e00\u4e2a\u80fd\u591f\u6267\u884c\u5355\u6b65\u63a8\u7406\u7684\u7b56\u7565\u6a21\u578b\u3002\u7ed9\u5b9a\u4e00\u4e2a\u95ee\u9898\u53ca\u5176\u76f8\u5e94\u7684\u6700\u7ec8\u7b54\u6848\uff0c\u7b56\u7565\u6a21\u578b\u4ece\u95ee\u9898\u4f5c\u4e3a\u6839\u8282\u70b9\u5f00\u59cb\uff0c\u4e0d\u65ad\u5411\u6811\u4e2d\u6dfb\u52a0\u65b0\u8282\u70b9\u3002\u5b83\u9996\u5148\u751f\u6210 w \u4e2a\u53ef\u80fd\u7684\u7b2c\u4e00\u6b65\u63a8\u7406\u6b65\u9aa4\u4f5c\u4e3a\u6839\u8282\u70b9\u7684\u5b50\u8282\u70b9\u3002\u7136\u540e\uff0c\u5b83\u8fed\u4ee3\u5730\u8fdb\u884c\u524d\u5411\u63a8\u7406\uff0c\u4e3a\u6bcf\u4e2a\u5f53\u524d\u8282\u70b9\uff08\u5982\u7b2c\u4e00\u6b65\u63a8\u7406\uff09\u751f\u6210 w \u4e2a\u53ef\u80fd\u7684\u540e\u7eed\u63a8\u7406\u6b65\u9aa4\u4f5c\u4e3a\u8be5\u8282\u70b9\u7684\u5b50\u8282\u70b9\u3002\u8fd9\u4e2a\u8fc7\u7a0b\u91cd\u590d\u8fdb\u884c\uff0c\u76f4\u5230\u8fbe\u5230\u9884\u8bbe\u7684\u6700\u5927\u6df1\u5ea6\u6216\u6240\u6709\u53f6\u8282\u70b9\u8fbe\u5230\u6700\u7ec8\u7b54\u6848\u3002<\/p>\n\n\n\n<p><strong>\u7b56\u7565\u6a21\u578b\u548c\u6b65\u9aa4\u5206\u6bb5<\/strong>&nbsp;\u6784\u5efa\u63a8\u7406\u6811\u9700\u8981\u6e05\u6670\u5b9a\u4e49\u63a8\u7406\u6b65\u9aa4\u3002\u4e3a\u6b64\uff0c\u56e2\u961f\u91c7\u7528 Abel \u63d0\u51fa\u7684\u6570\u636e\u683c\u5f0f\uff0c\u5c06\u6570\u5b66\u95ee\u9898\u89e3\u51b3\u65b9\u6848\u8f6c\u5316\u4e3a\u5177\u6709\u6e05\u6670\u6b65\u9aa4\u7684\u5f62\u5f0f\uff0c\u5c06\u7b54\u6848\u5206\u6210\u591a\u884c\uff0c\u6bcf\u884c\u4ee5\u884c\u53f7\u5f00\u59cb\uff0c\u5e76\u5305\u542b\u8be5\u884c\u5185\u7684\u63a8\u7406\u3002\u56e0\u6b64\uff0c\u4f7f\u7528 Abel \u6570\u636e\u96c6\u5bf9 DeepSeekMath-7B-Base \u8fdb\u884c\u5fae\u8c03\uff0c\u5f97\u5230 Abel-DSMath\uff0c\u4f5c\u4e3a\u7b56\u7565\u6a21\u578b\u3002\u5728\u8fd9\u79cd\u7279\u5b9a\u683c\u5f0f\u6570\u636e\u4e0a\u5fae\u8c03\u7684\u6a21\u578b\u53ef\u4ee5\u65b9\u4fbf\u5730\u63a7\u5236\u5355\u4e2a\u63a8\u7406\u6b65\u9aa4\u7684\u751f\u6210\u3002<\/p>\n\n\n\n<p><strong>\u5956\u52b1\u6a21\u578b\u548c<mark>\u526a\u679d<\/mark><\/strong>&nbsp;\u4e0a\u8ff0\u63d0\u51fa\u7684\u6811\u751f\u6210\u7b97\u6cd5\u8ba1\u7b97\u6210\u672c\u9ad8\u6602\u3002\u5f53\u8bbe\u7f6e\u540e\u7eed\u63a8\u7406\u6b65\u9aa4\u6570\u76ee\u4e3a 3 \u548c\u6df1\u5ea6\u4e3a 10 \u65f6\uff0c\u6700\u540e\u4e00\u6b21\u8fed\u4ee3\u9700\u8981\u751f\u6210 3 \u7684 10 \u6b21\u65b9\u4e2a\u63a8\u7406\u6b65\u9aa4\u3002\u56e0\u6b64\uff0c\u4f7f\u7528\u5956\u52b1\u6a21\u578b\u6765\u526a\u9664\u9519\u8bef\u7684\u63a8\u7406\u6b65\u9aa4\uff0c\u63d0\u9ad8\u64cd\u4f5c\u6548\u7387\u3002\u5177\u4f53\u6765\u8bf4\uff0c\u56e2\u961f\u91c7\u7528\u675f\u641c\u7d22\uff0c\u5728\u6bcf\u6b21\u8fed\u4ee3\u4e2d\u53ea\u9009\u62e9\u5c11\u91cf\u5019\u9009\u9879\u4fdd\u7559\u5230\u4e0b\u4e00\u8f6e\u3002\u6839\u636e\u4f7f\u7528\u7684\u5956\u52b1\u6a21\u578b\uff0c<mark>\u526a\u679d<\/mark>\u5b9e\u73b0\u7684\u7ec6\u8282\u6709\u6240\u4e0d\u540c\u3002\u56e2\u961f\u5c1d\u8bd5\u4e86\u4e24\u4e2a\u5956\u52b1\u6a21\u578b\uff1amath-shepherd \u548c o1-mini\u3002<\/p>\n\n\n\n<p>Math-shepherd \u4e3a\u6bcf\u4e2a\u6b65\u9aa4\u63d0\u4f9b\u4e00\u4e2a\u4ecb\u4e8e 0 \u548c 1 \u4e4b\u95f4\u7684\u5b9e\u6570\uff0c\u8868\u793a\u5f53\u524d\u6b65\u9aa4\u6b63\u786e\u7684\u6982\u7387\u3002\u5728\u6811\u751f\u6210\u7684\u6bcf\u6b21\u8fed\u4ee3\u4e2d\uff0c\u5bf9\u6240\u6709\u63a8\u7406\u6b65\u9aa4\u8fdb\u884c\u8bc4\u5206\uff0c\u5e76\u9009\u62e9\u5f97\u5206\u6700\u9ad8\u7684\u524d K \u4e2a\u8fdb\u5165\u4e0b\u4e00\u6b21\u8fed\u4ee3\u3002\u8fd9\u5c06\u603b\u751f\u6210\u6b21\u6570\u8fdb\u884c<mark>\u526a\u679d<\/mark>\u3002\u7136\u800c\uff0cmath-shepherd \u5728\u8bc4\u4f30\u56f0\u96be\u95ee\u9898\u7684\u63a8\u7406\u6b65\u9aa4\u65f6\u5b58\u5728\u56f0\u96be\uff0c\u9700\u8981\u4e00\u4e2a\u66f4\u5f3a\u5927\u7684\u5956\u52b1\u6a21\u578b\uff0c\u80fd\u591f\u4e3a\u6bcf\u4e2a\u6b65\u9aa4\u63d0\u4f9b\u9ad8\u51c6\u786e\u5ea6\u7684\u6b63\u786e\u6027\u6307\u793a\u3002\u56e0\u6b64\uff0c\u6700\u7ec8\u4f7f\u7528 o1-mini \u4e3a\u6bcf\u4e2a\u6b65\u9aa4\u63d0\u4f9b\u5956\u52b1\uff0c\u76f4\u63a5\u6307\u793a\u6bcf\u4e2a\u63a8\u7406\u6b65\u9aa4\u662f\u5426\u6b63\u786e\u3002\u6b64\u65f6\uff0c\u5728\u6811\u751f\u6210\u7684\u6bcf\u6b21\u8fed\u4ee3\u4e2d\uff0c\u5229\u7528\u6765\u81ea o1-mini \u7684\u5956\u52b1\uff0c\u9009\u62e9\u6700\u591a K \u4e2a\u6b63\u786e\u7684\u63a8\u7406\u6b65\u9aa4\u8fdb\u5165\u4e0b\u4e00\u6b21\u8fed\u4ee3\u3002<\/p>\n\n\n\n<p><strong>Q6: \u5982\u4f55\u4ece\u63a8\u7406\u6811\u4e2d\u63a8\u5bfc\u51fa\u957f\u601d\u7ef4\uff1f<\/strong><br>\u4e00\u65e6\u6784\u5efa\u4e86\u63a8\u7406\u6811\uff0c\u76ee\u6807\u5c31\u53d8\u4e3a\u63a2\u7d22\u5982\u4f55\u4ece\u63a8\u7406\u6811\u8f6c\u6362\u4e3a\u5305\u542b\u8bd5\u9519\u8fc7\u7a0b\u7684\u957f\u601d\u7ef4\u3002\u5728\u8be5\u56e2\u961f\u7684\u6846\u67b6\u4e2d\uff0c\u63a8\u7406\u6811\u7684\u6bcf\u4e2a\u8282\u70b9\u90fd\u88ab\u5956\u52b1\u6a21\u578b\u6807\u6ce8\uff0c\u6307\u793a\u8be5\u6b65\u9aa4\u662f\u5426\u6b63\u786e\u6216\u9519\u8bef\u3002\u5177\u4f53\u7684\u5408\u6210\u6b65\u9aa4\u5982\u4e0b\uff1a<\/p>\n\n\n\n<ul><li><strong>\u4ece\u63a8\u7406\u6811\u6784\u5efa\u6377\u5f84<\/strong>&nbsp;\u9996\u5148\u4ece\u63a8\u7406\u6811\u6784\u5efa\u6377\u5f84\uff0c\u5176\u4e2d\u53ea\u5305\u62ec\u6b63\u786e\u7b54\u6848\u548c\u6709\u6548\u7684\u4e2d\u95f4\u6b65\u9aa4\u3002\u4ece\u4ee3\u8868\u95ee\u9898\u7684\u6839\u8282\u70b9\u5f00\u59cb\uff0c\u627e\u51fa\u901a\u5411\u6b63\u786e\u7b54\u6848\u53f6\u8282\u70b9\u7684\u8def\u5f84\u3002\u5982\u679c\u6709\u591a\u4e2a\u6b63\u786e\u7b54\u6848\u8282\u70b9\uff0c\u5219\u5efa\u7acb\u591a\u6761\u6b63\u786e\u8def\u5f84\u3002<\/li><li><strong>\u904d\u5386\u63a8\u7406\u6811<\/strong>&nbsp;\u4e3a\u4e86\u5f97\u5230\u957f\u601d\u7ef4\uff0c\u91c7\u7528<mark>\u6df1\u5ea6\u4f18\u5148\u641c\u7d22<\/mark>\uff08DFS\uff09\u904d\u5386\u6811\u3002\u8fd9\u79cd\u904d\u5386\u6309 DFS \u987a\u5e8f\u6784\u5efa\u8def\u5f84\uff0c\u8bb0\u5f55\u4ece\u6839\u95ee\u9898\u8282\u70b9\u5230\u6b63\u786e\u7b54\u6848\u53f6\u8282\u70b9\u7684\u6bcf\u4e00\u6b65\uff0c\u540c\u65f6\u5305\u62ec\u4efb\u4f55\u88ab\u6807\u8bb0\u4e3a\u9519\u8bef\u7684\u8282\u70b9\u7684\u63a8\u7406\u3002DFS \u7684\u6311\u6218\u5728\u4e8e\u5b83\u63a2\u7d22\u4e86\u5e9e\u5927\u7684\u641c\u7d22\u7a7a\u95f4\uff0c\u4ea7\u751f\u4e86\u5927\u91cf\u53ef\u80fd\u65e0\u6cd5\u5f97\u5230\u6b63\u786e\u89e3\u51b3\u65b9\u6848\u7684\u8bd5\u9519\u8def\u5f84\u3002\u4e3a\u4e86\u7b80\u5316\u8fd9\u4e00\u521d\u59cb\u63a2\u7d22\uff0c\u56e2\u961f\u8fd8\u5f15\u5165\u4e86\u5177\u4f53\u7684\u7ea6\u675f\u6765\u7f13\u89e3\u7531\u4e8e\u904d\u5386\u8def\u5f84\u8fc7\u957f\u5bfc\u81f4\u7684\u5408\u6210\u6570\u636e\u7684\u590d\u6742\u6027\u3002\u9996\u5148\uff0c\u6839\u636e\u8282\u70b9\u662f\u5426\u4f4d\u4e8e\u6b63\u786e\u8def\u5f84\uff08\u5373\u6377\u5f84\uff09\u4e0a\u6765\u6807\u8bb0\u6811\u4e2d\u7684\u6240\u6709\u8282\u70b9\u3002\u904d\u5386\u9075\u5faa\u4ee5\u4e0b\u89c4\u5219\uff1a&nbsp;<\/li><\/ul>\n\n\n\n<ul><li>\u6b63\u786e\u8def\u5f84\u4e0a\u7684\u8282\u70b9\uff1aDFS \u9047\u5230\u6b63\u786e\u8def\u5f84\u4e0a\u7684\u8282\u70b9\u65f6\uff0c\u5b83\u53ef\u80fd\u4f1a\u63a2\u7d22\u5bfc\u81f4\u9519\u8bef\u7ed3\u679c\u7684\u5b50\u8282\u70b9\uff0c\u4ece\u800c\u6a21\u62df\u8bd5\u9519\u7684\u8fc7\u7a0b\u3002\u4e00\u65e6\u8fd9\u4e2a\u8282\u70b9\u5230\u8fbe\u53f6\u8282\u70b9\u5e76\u88ab\u786e\u5b9a\u4e3a\u9519\u8bef\uff0c\u7b97\u6cd5\u5c31\u4f1a\u56de\u6eaf\u5e76\u5207\u6362\u5230\u6b63\u786e\u7684\u8def\u5f84\u7ee7\u7eed\u904d\u5386\u3002&nbsp;<\/li><li>\u4e0d\u5728\u6b63\u786e\u8def\u5f84\u4e0a\u7684\u8282\u70b9\uff1a\u968f\u673a\u9009\u62e9\u4e00\u4e2a\u5b50\u8282\u70b9\u8fdb\u884c\u63a2\u7d22\uff0c\u5e76\u4e0d\u4ea7\u751f\u8bd5\u9519\u7684\u5206\u652f\u3002<\/li><\/ul>\n\n\n\n<p>&nbsp;\u4e3a\u8fdb\u4e00\u6b65\u7b80\u5316\u8fc7\u7a0b\uff0c\u5e94\u7528\u4e86\u4e00\u4e2a\u989d\u5916\u7684\u7ea6\u675f\uff1a\u6b63\u786e\u8def\u5f84\u4e0a\u7684\u6bcf\u4e2a\u8282\u70b9\u6700\u591a\u5141\u8bb8 K \u6b21\u8bd5\u9519 \u2014\u2014 \u4e00\u6b21\u5728\u9519\u8bef\u8def\u5f84\u4e0a\u7684\u8bd5\u9519\u548c\u4e00\u6b21\u5728\u6b63\u786e\u8def\u5f84\u4e0a\u7684\u63a2\u7d22\u3002 \u8fd9\u4e9b\u7ea6\u675f\u786e\u4fdd DFS \u904d\u5386\u4e13\u6ce8\u6709\u610f\u4e49\u7684\u8bd5\u9519\u63a2\u7d22\uff0c\u540c\u65f6\u907f\u514d\u8fc7\u5ea6\u63a2\u7d22\u9519\u8bef\u8def\u5f84\u3002\u5728\u672a\u6765\u7684\u5b9e\u9a8c\u4e2d\uff0c\u8ba1\u5212\u79fb\u9664\u6216\u8c03\u6574\u8fd9\u4e9b\u7ea6\u675f\uff0c\u4ee5\u7814\u7a76\u8bd5\u9519\u8def\u5f84\u957f\u5ea6\u4e0e\u6700\u7ec8\u6a21\u578b\u6027\u80fd\u4e4b\u95f4\u7684\u5173\u7cfb\u3002<\/p>\n\n\n\n<ul><li><strong>\u4ece\u904d\u5386\u8def\u5f84\u5f97\u5230\u957f\u601d\u7ef4\u00a0<\/strong>\u751f\u6210\u904d\u5386\u8def\u5f84\u5e76\u5c06\u63a8\u7406\u9644\u52a0\u5230\u9519\u8bef\u8282\u70b9\u540e\uff0c\u901a\u8fc7\u8fde\u63a5\u8def\u5f84\u4e2d\u7684\u6240\u6709\u6b65\u9aa4\u6765\u6784\u5efa\u957f\u601d\u7ef4\uff0c\u5176\u4e2d\u8fd8\u5305\u542b\u4e86\u6bcf\u4e2a\u9519\u8bef\u6b65\u9aa4\u7684\u63a8\u7406\u3002\u7136\u800c\uff0c\u521d\u6b65\u5b9e\u9a8c\u8868\u660e\uff0c\u4f7f\u7528\u8fd9\u4e2a\u5f62\u5f0f\u7684\u957f\u601d\u7ef4\u6570\u636e\u6765\u8bad\u7ec3\u6a21\u578b\u7684\u6027\u80fd\u4e0d\u4f73\u3002\u4e3a\u89e3\u51b3\u8fd9\u4e2a\u95ee\u9898\uff0c\u56e2\u961f\u5c1d\u8bd5\u4f7f\u7528 GPT-4o \u6765\u4fee\u6539\u8349\u7a3f\u3002GPT-4o \u5728\u4fdd\u7559\u6240\u6709\u63a8\u7406\u6b65\u9aa4\uff08\u5305\u62ec\u9519\u8bef\u6b65\u9aa4\u3001\u53cd\u601d\u548c\u4fee\u6b63\uff09\u7684\u540c\u65f6\uff0c\u589e\u5f3a\u4e86\u601d\u7ef4\u8fc7\u7a0b\u7684\u8fde\u8d2f\u6027\u548c\u6d41\u7545\u6027\u3002\u8fd9\u79cd\u65b9\u6cd5\u786e\u4fdd\u6700\u7ec8\u7684\u957f\u601d\u7ef4\u4e0d\u4ec5\u51c6\u786e\uff0c\u800c\u4e14\u81ea\u7136\u6d41\u7545\uff0c\u6a21\u62df\u4e86\u5305\u542b\u6b63\u786e\u548c\u9519\u8bef\u6b65\u9aa4\u7684\u4eba\u7c7b\u95ee\u9898\u89e3\u51b3\u8fc7\u7a0b\u3002<\/li><\/ul>\n\n\n\n<p><strong>Q7: \u5982\u4f55\u8bc4\u4f30\u6211\u4eec\u7684\u5c1d\u8bd5\u65b9\u6cd5\uff1f<\/strong><\/p>\n\n\n\n<p>\u9664\u4e86\u4f7f\u7528\u7279\u5b9a\u8bc4\u4f30\u6307\u6807\u5728<mark>\u57fa\u51c6<\/mark>\u6d4b\u8bd5\u4e0a\u6d4b\u8bd5<mark>\u51c6\u786e\u7387<\/mark>\u5206\u6570\u5916\uff0c\u4eba\u5de5\u5ba1\u67e5\u5b9e\u9645\u6848\u4f8b\uff08\u8f93\u5165\u8f93\u51fa\uff09\u662f\u8bc4\u4f30\u6570\u636e\u548c\u6a21\u578b\u7684\u5173\u952e\u6b65\u9aa4\u3002\u56e0\u6b64\uff0c\u4e3a\u4e86\u63d0\u4f9b\u4e00\u79cd\u66f4\u76f4\u89c2\u7684\u65b9\u5f0f\u6765\u8bc4\u4f30\u6a21\u578b\u5728\u7279\u5b9a\u95ee\u9898\u4e0a\u7684\u8868\u73b0\uff0c\u56e2\u961f\u6784\u5efa\u4e86\u4e00\u4e2a\u53ef\u89c6\u5316<mark>\u6570\u636e\u5206\u6790<\/mark>\u5e73\u53f0\u3002<br>\u5177\u4f53\u6765\u8bf4\uff0c\u53ef\u89c6\u5316\u5e73\u53f0\u5305\u62ec\u5408\u6210\u6811\u53ca\u5176\u5bf9\u5e94\u957f\u601d\u7ef4\u7684\u53ef\u89c6\u5316\uff0c\u4ee5\u53ca\u8bad\u7ec3\u6a21\u578b\u7684\u8f93\u51fa\u3002\u6b64\u5916\uff0c\u5728\u53ef\u89c6\u5316\u7ed3\u679c\u65f6\uff0c\u652f\u6301\u8be6\u7ec6\u7684\u6761\u4ef6\u8fc7\u6ee4\uff0c\u4f8b\u5982\u8fc7\u6ee4\u6b63\u786e\u6216\u9519\u8bef\u56de\u7b54\u7684\u95ee\u9898\uff0c\u6216\u8f93\u51fa\u662f\u5426\u5305\u542b\u8868\u793a\u53cd\u601d\u6216\u72b9\u8c6b\u7684\u5173\u952e\u8bcd\uff08\u5982 &#8220;wait&#8221;\uff09\u3002\u53e6\u5916\uff0c\u53ef\u89c6\u5316\u5e73\u53f0\u652f\u6301\u4e0d\u540c\u8fed\u4ee3\u8f6e\u6b21\u7684\u5408\u6210\u6570\u636e\u548c\u6a21\u578b\u8f93\u51fa\u4e4b\u95f4\u7684\u6bd4\u8f83\uff0c\u8fd9\u4f7f\u5f97\u56e2\u961f\u53ef\u4ee5\u975e\u5e38\u76f4\u89c2\u5730\u9a8c\u8bc1\u65b0\u4e00\u8f6e\u7684\u6570\u636e\u6216\u6a21\u578b\u662f\u5426\u6709\u6548\u3002<\/p>\n\n\n\n<p><strong>Q8: \u5982\u4f55\u8bad\u7ec3\u6211\u4eec\u7684\u6a21\u578b\uff1f<\/strong><strong><br><\/strong>\u56e2\u961f\u5b9e\u9a8c\u4f7f\u7528\u9884\u8bad\u7ec3<mark>\u8bed\u8a00\u6a21\u578b<\/mark>&nbsp;deepseek-math-7b-base\uff08\u66f4\u591a\u5176\u4ed6\u6a21\u578b\u5df2\u7ecf\u5728\u7b49\u5f85\u5217\u8868\u4e2d\uff09\u3002\u8bad\u7ec3\u8fc7\u7a0b\u5206\u4e3a\u4e24\u4e2a\u4e3b\u8981\u9636\u6bb5\uff1a\u76d1\u7763\u5fae\u8c03\uff08SFT\uff09\u548c\u76f4\u63a5\u504f\u597d\u5b66\u4e60\uff08DPO\uff09\u3002<br><strong>\u7b2c\u4e00\u9636\u6bb5\uff1a\u76d1\u7763\u5fae\u8c03\uff08SFT\uff09:&nbsp;<\/strong><strong><br><\/strong>SFT \u8fc7\u7a0b\u5305\u62ec\u4e24\u4e2a\u9636\u6bb5\uff1a<\/p>\n\n\n\n<ul><li><strong>\u521d\u59cb\u9636\u6bb5<\/strong>\uff1a\u5728\u8fd9\u4e2a\u521d\u59cb\u9636\u6bb5\uff0c\u56e2\u961f\u4e13\u6ce8\u4e8e\u4f7f\u7528\u53ea\u5305\u542b\u6b63\u786e\u4e2d\u95f4\u6b65\u9aa4\u548c\u6700\u7ec8\u6b63\u786e\u7b54\u6848\u7684\u54cd\u5e94\u6765\u5fae\u8c03\u6a21\u578b\u3002\u5728 Abel \u6570\u636e\u96c6\u548c PRM800K \u6570\u636e\u96c6\u4e0a\u5fae\u8c03 Deepseek-math-7b-base\u3002\u5bf9\u4e8e PRM800K \u4e2d\u7684\u6bcf\u4e2a\u95ee\u9898\uff0c\u4f7f\u7528\u5355\u4e2a\u6b63\u786e\u7684\u9010\u6b65\u89e3\u51b3\u65b9\u6848\uff0c\u4e22\u5f03\u4e0d\u5bfc\u5411\u6700\u7ec8\u7b54\u6848\u7684\u56de\u590d\u3002\u5728\u8fd9\u4e2a\u9636\u6bb5\uff0c\u5bf9\u6bcf\u4e2a\u6570\u636e\u96c6\u8fdb\u884c\u4e00\u4e2a epoch \u7684\u5fae\u8c03\uff0c\u4e3b\u8981\u76ee\u7684\u662f\u8ba9\u6a21\u578b\u719f\u6089\u6240\u9700\u7684\u54cd\u5e94\u683c\u5f0f\u3002<\/li><li><strong>\u65c5\u7a0b\u5b66\u4e60<\/strong>\uff1a\u5728\u7b2c\u4e8c\u9636\u6bb5\uff0c\u4f7f\u7528\u6784\u5efa\u7684\u957f\u601d\u7ef4\uff08\u5305\u542b 327 \u4e2a\u793a\u4f8b\uff09\u8fdb\u4e00\u6b65\u5fae\u8c03\u521d\u59cb\u9636\u6bb5\u7684 SFT \u6a21\u578b\u3002\u8fd9\u4e2a\u9636\u6bb5\u65e8\u5728\u589e\u5f3a\u6a21\u578b\u53d1\u73b0\u9519\u8bef\u3001\u81ea\u6211\u53cd\u601d\u3001\u81ea\u6211\u4fee\u6b63\u548c\u6267\u884c\u56de\u6eaf\u7684\u80fd\u529b\u3002\u901a\u8fc7\u5728\u5408\u6210\u7684\u5305\u542b\u8bd5\u9519\u3001\u53cd\u601d\u7684\u957f\u601d\u7ef4\u6570\u636e\u4e0a\u8bad\u7ec3\uff0c\u6a21\u578b\u5bf9\u66f4\u957f\u63a8\u7406\u94fe\u4e2d\u6d89\u53ca\u7684\u590d\u6742\u6027\u6709\u66f4\u6df1\u5165\u7684\u7406\u89e3\u3002\u4e3a\u4e86\u6bd4\u8f83\uff0c\u56e2\u961f\u8fd8\u5728\u4ece\u540c\u4e00\u63a8\u7406\u6811\u751f\u6210\u7684\u76f8\u5e94\u6377\u5f84\u4e0a (Shortcut Learning) \u5fae\u8c03\u6a21\u578b\uff08\u540c\u6837\u662f 327 \u4e2a\uff09\uff0c\u4ece\u800c\u66f4\u76f4\u89c2\u7684\u6bd4\u8f83\u65c5\u7a0b\u5b66\u4e60\u76f8\u6bd4\u6377\u5f84\u5b66\u4e60\u6240\u5e26\u6765\u7684\u589e\u76ca\u3002<\/li><\/ul>\n\n\n\n<p><strong>\u7b2c\u4e8c\u9636\u6bb5\uff1a\u76f4\u63a5\u504f\u597d\u5b66\u4e60\uff08DPO\uff09<\/strong><br>\u5728\u8fd9\u4e2a\u9636\u6bb5\uff0c\u4f7f\u7528\u6838\u91c7\u6837\uff08top_p = 0.95 \u548c\u6e29\u5ea6 T = 0.7\uff09\u4ece MATH Train \u6570\u636e\u96c6\u4e3a\u6bcf\u4e2a\u95ee\u9898\u751f\u6210 20 \u4e2a\u56de\u590d\u3002\u8fd9 20 \u4e2a\u56de\u590d\u6839\u636e\u6700\u7ec8\u7b54\u6848\u7684\u6b63\u786e\u6027\u5206\u7c7b\u4e3a\u6b63\u9762\u548c\u8d1f\u9762\u54cd\u5e94\u3002\u4ece\u4e2d\uff0c\u968f\u673a\u9009\u62e9 5 \u4e2a\u6b63\u9762\u54cd\u5e94\u548c 5 \u4e2a\u8d1f\u9762\u54cd\u5e94\u6765\u521b\u5efa 5 \u5bf9\u504f\u597d\u5bf9\u3002\u7136\u540e\uff0c\u4f7f\u7528\u8fd9\u4e9b\u504f\u597d\u5bf9\u548c DPO \u635f\u5931\u6765\u8bad\u7ec3\u6a21\u578b\uff0c\u4f7f\u5176\u80fd\u591f\u4ece\u6b63\u786e\u548c\u9519\u8bef\u7b54\u6848\u7684\u6bd4\u8f83\u4e2d\u5b66\u4e60\u3002<\/p>\n\n\n\n<p><br><strong>Q9: \u4ec0\u4e48\u662f\u4eba\u7c7b\u548c AI \u534f\u540c\u6807\u6ce8\u7684\u6709\u6548\u7b56\u7565\uff1f<\/strong><br>\u56e2\u961f\u5f00\u53d1\u4e86\u4e00\u79cd\u4eba\u7c7b\u548c AI \u534f\u4f5c\u7684\u6570\u636e\u6807\u6ce8\u6d41\u7a0b\uff0c\u7528\u4e8e\u751f\u6210\u57fa\u4e8e MATH \u6570\u636e\u96c6\u7684\u9ad8\u8d28\u91cf\u3001\u957f\u6587\u672c\u63a8\u7406\u6570\u636e\u3002\u901a\u8fc7\u8fd9\u4e2a\u6d41\u7a0b\uff0c\u6211\u4eec\u5c06\u77ed\u77ed\u51e0\u884c\u4eba\u7c7b\u6807\u6ce8\u7684\u89e3\u9898\u65b9\u6848\u6269\u5c55\u4e3a\u5305\u542b\u6570\u5343\u4e2a token \u7684\u3001\u7b26\u5408 \u201c\u65c5\u7a0b\u5b66\u4e60\u201d \u8303\u5f0f\u7684\u8be6\u7ec6\u63a8\u7406\u8fc7\u7a0b\u3002\u5728\u6784\u5efa\u6d41\u7a0b\u7684\u8fc7\u7a0b\u4e2d\uff0c\u6211\u4eec\u53d1\u73b0\u4e86\u4e0b\u9762\u51e0\u79cd\u6709\u6548\u7684\u6807\u6ce8\u6280\u5de7\uff1a<\/p>\n\n\n\n<ul><li><strong>\u5b8c\u6574\u7684\u601d\u7ef4\u8fc7\u7a0b<\/strong>\uff1a\u6807\u6ce8\u8005\u4e0d\u5fc5\u8be6\u7ec6\u8bb0\u5f55\u6bcf\u4e00\u4e2a\u60f3\u5230\u7684\u8bcd\u8bed\uff0c\u4f46\u5fc5\u987b\u8bb0\u5f55\u6bcf\u4e00\u4e2a\u5c1d\u8bd5\u3001\u53cd\u601d\u3001\u8054\u60f3\u548c\u4fee\u6b63\u7684\u8fc7\u7a0b\u3002\u8fd9\u4e9b\u53d1\u6563\u7684\u8ba4\u77e5\u8def\u5f84\u5728\u65e5\u5e38\u601d\u8003\u4e2d\u53ef\u80fd\u5e76\u672a\u88ab\u8868\u8fbe\u6210\u6587\u5b57\uff0c\u751a\u81f3\u6ca1\u6709\u88ab\u663e\u5f0f\u8ba4\u77e5\u3002\u7136\u800c\uff0c\u6355\u6349\u8fd9\u4e9b\u601d\u7ef4\u8f6c\u53d8\u4ee5\u53ca\u80cc\u540e\u7684\u539f\u56e0\u662f\u81f3\u5173\u91cd\u8981\u7684\u3002\u8fd9\u79cd<mark>\u89c4\u5212<\/mark>\u548c\u7406\u89e3\u8ba4\u77e5\u8f6c\u6362\u7684\u80fd\u529b\u662f\u5927<mark>\u8bed\u8a00\u6a21\u578b<\/mark>\u4ece\u6211\u4eec\u7684\u6570\u636e\u4e2d\u5fc5\u987b\u5b66\u4e60\u7684\u6838\u5fc3\u6280\u80fd\u3002<\/li><li><strong>\u8865\u5145\u89e3\u91ca\u5e38\u8bc6<\/strong>\uff1a\u4eba\u7c7b\u5728\u7528\u8bed\u4e2d\u7ecf\u5e38\u7701\u7565\u4e00\u4e9b\u53ef\u4ee5\u4ece\u4e0a\u4e0b\u6587\u4e2d\u63a8\u65ad\u7684\u4fe1\u606f\uff0c\u6bd4\u5982\u5bf9\u524d\u8ff0\u516c\u5f0f\u7684\u5f15\u7528\uff0c\u6216\u662f\u5bf9\u5e7f\u4e3a\u4eba\u77e5\u7684\u7406\u8bba\u7684\u5e94\u7528\u3002\u7136\u800c\uff0c\u5f53\u5927<mark>\u8bed\u8a00\u6a21\u578b<\/mark>\u5c1d\u8bd5\u89e3\u8bfb\u4eba\u7c7b\u6807\u6ce8\u65f6\uff0c\u8fd9\u79cd\u7701\u7565\u53ef\u80fd\u5bfc\u81f4\u5e7b\u89c9\u3002\u56e0\u6b64\uff0c\u9ad8\u8d28\u91cf\u7684\u6570\u636e\u5fc5\u987b\u5305\u62ec\u5bf9\u5e38\u8bc6\u6027\u77e5\u8bc6\u7684\u660e\u786e\u89e3\u91ca\uff0c\u4ee5\u9632\u6b62\u5927\u6a21\u578b\u7684\u8bef\u89e3\u3002<\/li><\/ul>\n\n\n\n<p>\u9075\u5faa\u4ee5\u4e0a\u4e24\u4e2a\u5173\u952e\u8981\u7d20\uff0c\u4eba\u7c7b\u4e13\u5bb6\u5373\u53ef\u5b8c\u6210\u6570\u636e\u6807\u6ce8\uff0c\u8fd9\u4e9b\u6570\u636e\u7cbe\u7b80\u4f46\u51c6\u786e\uff0c\u975e\u5e38\u5229\u4e8e\u5927\u6a21\u578b\u505a\u8fdb\u4e00\u6b65\u589e\u5f3a\u3002\u4e0b\u4e00\u9636\u6bb5\uff0c\u901a\u8fc7\u8bbe\u8ba1\u590d\u6742\u7684\u63d0\u793a\u8bcd\uff0c\u6211\u4eec\u901a\u8fc7\u5927<mark>\u8bed\u8a00\u6a21\u578b<\/mark>\u5b9e\u73b0\u4e86\u6570\u636e\u6269\u5c55\u548c\u589e\u5f3a\u3002\u6211\u4eec\u7684\u63d0\u793a\u8bcd\u5305\u542b\u4ee5\u4e0b\u5173\u952e\u70b9\uff1a<\/p>\n\n\n\n<ul><li><strong>\u6570\u636e\u9897\u7c92\u5ea6\u7684\u589e\u5f3a<\/strong>\uff1a\u63d0\u793a\u8bcd\u5f3a\u8c03\u5c06\u95ee\u9898\u89e3\u51b3\u8fc7\u7a0b\u5206\u89e3\u4e3a\u66f4\u7ec6\u5c0f\u7684\u6b65\u9aa4\u3002\u901a\u8fc7\u5c06\u8fc7\u7a0b\u62c6\u89e3\u6210\u7ec6\u7c92\u5ea6\u4e14\u6613\u4e8e\u7406\u89e3\u7684\u6b65\u9aa4\u5757\uff0c\u5927<mark>\u8bed\u8a00\u6a21\u578b<\/mark>\u80fd\u66f4\u597d\u5730\u638c\u63e1\u548c\u5185\u5316\u6bcf\u4e2a\u6982\u5ff5\uff0c\u786e\u4fdd\u5728\u6bcf\u4e2a\u9636\u6bb5\u90fd\u6709\u6df1\u5165\u7684\u7406\u89e3\u3002<\/li><li><strong>\u9010\u6b65\u63a8\u7406<\/strong>\uff1a\u63d0\u793a\u8bcd\u63a7\u5236\u5927<mark>\u8bed\u8a00\u6a21\u578b<\/mark>\u9700\u9891\u7e41\u6682\u505c\uff0c\u53cd\u601d\u5df2\u77e5\u4fe1\u606f\u6216\u63d0\u51fa\u4e0b\u4e00\u6b65\u7684\u64cd\u4f5c\u3002\u8fd9\u79cd\u505c\u987f\u6a21\u4eff\u4e86\u5b66\u751f\u5728\u601d\u8003\u95ee\u9898\u65f6\u7684\u81ea\u7136\u8fc7\u7a0b\uff0c\u5e2e\u52a9\u4ed6\u4eec\u4fdd\u6301\u53c2\u4e0e\u611f\u548c\u5bf9\u63a8\u7406\u8fc7\u7a0b\u7684\u8fde\u63a5\u611f\uff0c\u800c\u4e0d\u4ec5\u4ec5\u662f\u88ab\u52a8\u5730\u9075\u5faa\u6307\u4ee4\u3002<\/li><li><strong>\u63a2\u7d22\u8005\u89c6\u89d2<\/strong>\uff1a\u4e0e\u76f4\u63a5\u5448\u73b0\u7b54\u6848\u4e0d\u540c\uff0c\u5927<mark>\u8bed\u8a00\u6a21\u578b<\/mark>\u88ab\u9f13\u52b1\u4ee5\u63a2\u7d22\u7684\u8bed\u6c14\u8fdb\u884c\u63a8\u7406\uff0c\u5373\u5047\u8bbe\u81ea\u5df1\u662f\u7b2c\u4e00\u6b21\u601d\u8003\u8fd9\u4e2a\u95ee\u9898\u3002\u8fd9\u79cd\u65b9\u5f0f\u53ef\u4ee5\u6fc0\u53d1\u67d0\u79cd\u7a0b\u5ea6\u7684 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\u201dScientific Progress Report\u201c \uff08\u79d1\u7814\u8fdb\u5c55\u62a5\u544a\uff09\u662f\u4e00\u79cd\u6bd4 \u73b0\u5728\u201dScentific Paper\u201c \uff08\u79d1\u7814\u8bba\u6587\uff09\u66f4\u6709\u4ef7\u503c\u7684\u79d1\u7814\u4ea7\u51fa\u548c\u6210\u679c\u5206\u4eab\u7684\u7ec4\u7ec7\u5f62\u5f0f\u3002\u56e2\u961f\u79d1\u5b66\u63a2\u7d22\u8fc7\u7a0b\u7684\u7ec6\u81f4\u8bb0\u5f55\uff0c\u5c24\u5176\u5728 AI \u80fd\u529b\u5feb\u901f\u53d1\u5c55\u7684\u80cc\u666f\u4e0b\uff0c\u5177\u6709\u6df1\u8fdc\u610f\u4e49\u3002<strong>\u901a\u8fc7\u5168\u9762\u8bb0\u5f55\u63a2\u7d22\u8fc7\u7a0b\uff0c\u5305\u62ec\u6210\u529f\u548c\u5931\u8d25\uff0c\u56e2\u961f\u6b63\u5728\u57f9\u80b2\u4e00\u4e2a\u72ec\u7279\u800c\u5b9d\u8d35\u7684\u6570\u636e\u96c6\u3002\u8fd9\u4efd\u5168\u9762\u7684\u8bb0\u5f55\u5bf9\u4e8e\u8bad\u7ec3\u771f\u6b63\u7406\u89e3\u79d1\u5b66\u65b9\u6cd5\u7684 AI \u6a21\u578b\u81f3\u5173\u91cd\u8981\u3002o1 \u7684\u6210\u529f\u5f3a\u8c03\u4e86 AI \u7cfb\u7edf\u4e0d\u4ec5\u8981\u5b66\u4e60\u7ed3\u679c\uff0c\u8fd8\u8981\u5b66\u4e60\u5b8c\u6574\u7684\u79d1\u5b66\u63a2\u7d22\u8fc7\u7a0b\uff0c\u5305\u62ec\u8bd5\u9519\u7684\u91cd\u8981\u6027<\/strong>\u3002\u901a\u8fc7\u79d1\u7814\u8fdb\u5c55\u62a5\u544a\uff0c\u4e0d\u4ec5\u53ef\u4ee5\u6355\u6349\u6280\u672f\u7ec6\u8282\uff0c\u8fd8\u5305\u62ec\u51b3\u7b56\u7406\u7531\u3001\u7075\u611f\u6765\u6e90\u548c\u601d\u7ef4\u8fc7\u7a0b\u3002\u8fd9\u4e9b &#8220;\u4eba\u7c7b\u56e0\u7d20&#8221; \u5bf9\u4e8e\u8bad\u7ec3\u80fd\u591f\u8fdb\u884c\u771f\u5b9e\u79d1\u5b66\u53d1\u73b0\u7684 AI 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