{"id":38938,"date":"2025-02-26T05:01:37","date_gmt":"2025-02-25T21:01:37","guid":{"rendered":"https:\/\/17aitech.com\/?p=38938"},"modified":"2025-02-26T05:01:37","modified_gmt":"2025-02-25T21:01:37","slug":"%e4%bb%85%e9%9d%a0%e9%80%bb%e8%be%91%e9%a2%98%ef%bc%8cai%e6%95%b0%e5%ad%a6%e7%ab%9e%e8%b5%9b%e8%83%bd%e5%8a%9b%e9%a3%99%e5%8d%87%ef%bc%81%e5%be%ae%e8%bd%af%e3%80%81%e4%b9%9d%e5%9d%a4%e6%8a%95%e8%b5%84","status":"publish","type":"post","link":"https:\/\/17aitech.com\/?p=38938","title":{"rendered":"\u4ec5\u9760\u903b\u8f91\u9898\uff0cAI\u6570\u5b66\u7ade\u8d5b\u80fd\u529b\u98d9\u5347\uff01\u5fae\u8f6f\u3001\u4e5d\u5764\u6295\u8d44\uff1a7B\u5c0f\u6a21\u578b\u4e5f\u80fd\u903c\u8fd1o3-mini"},"content":{"rendered":"<p>\u6587\u7ae0\u6765\u6e90\u4e8e\u4e92\u8054\u7f51:<a href=\"https:\/\/www.jiqizhixin.com\/articles\/2025-02-25-3\" target=\"_blank\">\u4ec5\u9760\u903b\u8f91\u9898\uff0cAI\u6570\u5b66\u7ade\u8d5b\u80fd\u529b\u98d9\u5347\uff01\u5fae\u8f6f\u3001\u4e5d\u5764\u6295\u8d44\uff1a7B\u5c0f\u6a21\u578b\u4e5f\u80fd\u903c\u8fd1o3-mini<\/a><\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-92d20c48ad43df4dbed70fbb3c513655.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-92d20c48ad43df4dbed70fbb3c513655.png\"><\/a><\/p>\n<blockquote data-author-name=\"\" data-content-utf8-length=\"166\" data-source-title=\"\" data-type=\"2\" data-url=\"\">\n<section>\n<p>AIxiv\u4e13\u680f\u662f\u673a\u5668\u4e4b\u5fc3\u53d1\u5e03\u5b66\u672f\u3001\u6280\u672f\u5185\u5bb9\u7684\u680f\u76ee\u3002\u8fc7\u53bb\u6570\u5e74\uff0c\u673a\u5668\u4e4b\u5fc3AIxiv\u4e13\u680f\u63a5\u6536\u62a5\u9053\u4e862000\u591a\u7bc7\u5185\u5bb9\uff0c\u8986\u76d6\u5168\u7403\u5404\u5927\u9ad8\u6821\u4e0e\u4f01\u4e1a\u7684\u9876\u7ea7\u5b9e\u9a8c\u5ba4\uff0c\u6709\u6548\u4fc3\u8fdb\u4e86\u5b66\u672f\u4ea4\u6d41\u4e0e\u4f20\u64ad\u3002\u5982\u679c\u60a8\u6709\u4f18\u79c0\u7684\u5de5\u4f5c\u60f3\u8981\u5206\u4eab\uff0c\u6b22\u8fce\u6295\u7a3f\u6216\u8005\u8054\u7cfb\u62a5\u9053\u3002\u6295\u7a3f\u90ae\u7bb1\uff1aliyazhou@jiqizhixin.com\uff1bzhaoyunfeng@jiqizhixin.com<\/p>\n<\/section>\n<\/blockquote>\n<p><strong>\u672c\u6587\u7531\u5fae\u8f6f\u4e9a\u6d32\u7814\u7a76\u9662\u7684\u8c22\u5929\u3001\u6d2a\u6bd3\u8c26\u3001\u90b1\u51ef\u3001\u6b66\u667a\u878d\u3001\u7f57\u7fc0\uff0c\u4e5d\u5764\u6295\u8d44\u9ad8\u6893\u6dfb\u3001Bryan Dai\u3001Joey Zhou\uff0c\u4ee5\u53ca\u72ec\u7acb\u7814\u7a76\u5458\u4efb\u5e86\u6960\u3001\u7f57\u6d69\u94ed\u5408\u8457\u5b8c\u6210\u3002<\/strong><\/p>\n<section>\u53ea\u5237\u903b\u8f91\u76ca\u667a\u9898\uff0c\u7adf\u80fd\u8ba9 AI \u6570\u5b66\u7ade\u8d5b\u6c34\u5e73\u5927\u5e45\u63d0\u5347\uff1f<\/section>\n<section><\/section>\n<section>\u7ee7\u4e2d\u56fd\u5927\u6a21\u578b\u7a81\u7834\u7845\u8c37\u56f4\u5835\u540e\uff0c\u56fd\u5185\u56e2\u961f\u518d\u653e\u5927\u62db\uff0c\u63ed\u79d8 DeepSeek R1 \u80cc\u540e\u7684\u79d8\u5bc6\u3002\u4ed6\u4eec\u901a\u8fc7\u4ec5\u4e94\u5343\u6761\u5408\u6210\u6570\u636e\u8fdb\u884c\u4f4e\u6210\u672c\u5f3a\u5316\u5b66\u4e60\uff0c\u8ba9 7B \u5c0f\u6a21\u578b\u5728\u903b\u8f91\u63a8\u7406\u6d4b\u8bd5\u4e2d\u7684\u8868\u73b0\u8d85\u8d8a OpenAI o1\uff0c\u76f4\u903c o3-mini-high\u3002\u66f4\u4ee4\u4eba\u60ca\u53f9\u7684\u662f\uff0c\u5728\u5b8c\u5168\u672a\u89c1\u8fc7\u7684\u7f8e\u56fd\u6570\u5b66\u5965\u6797\u5339\u514b\uff08AIME\uff09\u6d4b\u8bd5\u4e2d\uff0c\u8be5\u6a21\u578b\u7684\u63a8\u7406\u6027\u80fd\u63d0\u5347\u4e86 125%\uff01<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-fa67e943474579fdcede0c8a804ab06b.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-fa67e943474579fdcede0c8a804ab06b.png\"><\/a><\/section>\n<ul>\n<li>\n<p>\u8bba\u6587\u6807\u9898\uff1aLogic-RL: Unleashing LLM Reasoning with Rule-Based Reinforcement Learning<\/p>\n<\/li>\n<li>\n<p>\u8bba\u6587\u94fe\u63a5\uff1ahttps:\/\/arxiv.org\/abs\/2502.14768<\/p>\n<\/li>\n<li>\n<p>Github \u94fe\u63a5\uff1ahttps:\/\/github.com\/Unakar\/Logic-RL<\/p>\n<\/li>\n<\/ul>\n<section><\/section>\n<section>\u8fd9\u662f\u9996\u4e2a\u5168\u9762\u6df1\u5165\u7684\u7c7b R1 \u5f3a\u5316\u5b66\u4e60\u6a21\u578b\u8bad\u7ec3\u52a8\u6001\u8fc7\u7a0b\u5206\u6790\u3002\u9700\u8981\u5f3a\u8c03\u7684\u662f\uff0c\u8be5\u56e2\u961f\u4e0d\u4ec5\u5b8c\u6574\u5f00\u6e90\u4e86\u5168\u6d41\u7a0b\u4ee3\u7801\uff0c\u8fd8\u53d1\u5e03\u4e86\u8be6\u7ec6\u7684\u53c2\u6570\u8bbe\u7f6e\uff0c\u8bad\u7ec3\u6570\u636e\u548c\u8bbe\u8ba1\u7ecf\u9a8c\u3002<\/section>\n<section><\/section>\n<section>\u7814\u7a76\u56e2\u961f\u5f00\u5b97\u660e\u4e49\uff0c\u63d0\u51fa\u8981\u63a2\u7a76\u4ee5\u4e0b\u95ee\u9898\uff1a<\/section>\n<section><\/section>\n<section>1.DeepSeek R1 \u6240\u91c7\u7528\u7684 GRPO \u672a\u5fc5\u5c31\u662f\u6700\u5408\u9002\u7684\u5f3a\u5316\u5b66\u4e60\uff08RL\uff09\u7b97\u6cd5\uff1f\u5e94\u8be5\u5982\u4f55\u8c03\u53c2\u5b9e\u73b0\u7a33\u5b9a\u8bad\u7ec3\uff1f\u7531\u6613\u5230\u96be\u7684\u8bfe\u7a0b\u5b66\u4e60\u8fd8\u6709\u7528\u5417\uff1f<\/section>\n<section>2. \u4ece Base \u6a21\u578b\u542f\u52a8 RL \u4e0e\u5b8c\u5168\u51b7\u542f\u52a8\uff0c\u7a76\u7adf\u6709\u591a\u5927\u5dee\u5f02\uff1f\u54ea\u79cd\u65b9\u5f0f\u66f4\u4f18\uff1f<\/section>\n<section>3. \u8bad\u7ec3\u4e2d\uff0c\u6a21\u578b\u8f93\u51fa\u957f\u5ea6\u5e38\u5448\u73b0\u8fd1\u4f3c\u7ebf\u6027\u589e\u957f\u7684 Scaling Law\uff0c\u4f46\u8fd9\u79cd\u589e\u957f\u901f\u5ea6\u662f\u5426\u7b49\u540c\u4e8e\u63a8\u7406\u80fd\u529b\u7684\u63d0\u5347\uff1f<\/section>\n<section>4. \u5f53\u6a21\u578b\u9891\u7e41\u4f7f\u7528 \u201cverify\u201d \u201ccheck\u201d \u7b49\u53cd\u601d\u6027\u8bcd\u6c47\u65f6\uff0c\u662f\u5426\u610f\u5473\u7740\u5176\u63a8\u7406\u80fd\u529b\u589e\u5f3a\u4e86\uff1f\u54ea\u4e9b token \u80fd\u53ef\u9760\u53cd\u6620\u63a8\u7406\u6027\u80fd\u7684\u63d0\u5347\uff1f<\/section>\n<section>5.RL \u662f\u771f\u6b63\u638c\u63e1\u4e86\u62bd\u8c61\u63a8\u7406\u80fd\u529b\uff0c\u8fd8\u662f\u4ec5\u4ec5\u4f9d\u8d56\u95ee\u9898\u6a21\u677f\u7684\u6b7b\u8bb0\u786c\u80cc\uff1f\u76f8\u6bd4\u4f20\u7edf\u6709\u76d1\u7763\u5fae\u8c03\uff08SFT\uff09\uff0c\u5b83\u7684\u4f18\u52bf\u7a76\u7adf\u4f53\u73b0\u5728\u54ea\u91cc\uff1f<\/section>\n<section>6. \u63a8\u7406\u8fc7\u7a0b\u4e2d\uff0c\u6a21\u578b\u65f6\u5e38\u6df7\u7528\u4e2d\u6587\u548c\u82f1\u6587\uff0c\u8fd9\u79cd\u8bed\u8a00\u5207\u6362\u73b0\u8c61\u5bf9\u6027\u80fd\u63d0\u5347\u662f\u5426\u6709\u5b9e\u9645\u5e2e\u52a9\uff0c\u751a\u81f3\u662f\u5426\u53ef\u80fd\u6709\u5bb3\uff1f<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-ed228cf037ad1ff4692e1f4efa0301a3.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-ed228cf037ad1ff4692e1f4efa0301a3.png\"><\/a><\/section>\n<section>\u968f\u7740\u5f3a\u5316\u5b66\u4e60 (RL) \u8bad\u7ec3\u8fdb\u884c\uff0c\u5404\u89c2\u6d4b\u6307\u6807\u53d8\u5316\u3002\u7ea2\u7ebf\u662f\u6a21\u578b\u56de\u7b54\u957f\u5ea6\uff0c\u84dd\u7ebf\u662f\u9a8c\u8bc1\u96c6\u51c6\u786e\u7387\uff0c\u9ec4\u8272\u6563\u70b9\u662f\u4e24\u79cd\u57df\u5916 (OOD) \u7684\u6570\u5b66\u7ade\u8d5b\u6b63\u786e\u7387\uff0c\u4e09\u8005\u5747\u4fdd\u6301\u7a33\u5b9a\u589e\u957f\u8d8b\u52bf\uff1a<\/section>\n<section><\/section>\n<section>\u6d4b\u8bd5\u65f6\u7684\u8ba1\u7b97\u91cf\uff0c\u81ea\u7136\u800c\u7136\u5730\u4ece\u6570\u767e token\uff0c\u6269\u5c55\u5230\u4e86\u6570\u5343 token\uff0c\u6697\u793a\u7740 RL \u8bad\u7ec3\u6b63\u5728\u9f13\u52b1\u6a21\u578b\u5bf9\u601d\u8003\u8def\u5f84\u8fdb\u884c\u4e0d\u65ad\u7684\u63a2\u7d22\u548c\u4fee\u6b63\u3002<\/section>\n<section><\/section>\n<section>\u5728\u7ecf\u8fc7 5K \u4e2a\u903b\u8f91\u95ee\u9898\u7684\u8bad\u7ec3\u540e\uff0c7B \u6a21\u578b\u5c31\u53d1\u5c55\u51fa\u4e86\u4e00\u4e9b\u5728\u903b\u8f91\u8bed\u6599\u5e93\u4e2d\u539f\u672c\u4e0d\u5b58\u5728\u7684\u9ad8\u7ea7\u63a8\u7406\u6280\u80fd \u2014\u2014 \u5982\u81ea\u6211\u53cd\u601d\u3001\u9a8c\u8bc1\u548c\u603b\u7ed3\u80fd\u529b\u3002\u5728\u6ca1\u89c1\u8fc7\u7684\u6570\u5b66\u7ade\u8d5b\u9898 (AIME\/AMC\uff09\u4e0a\uff0c\u5404\u81ea\u53d6\u5f97\u4e86 125% \u548c 38% \u7684\u6027\u80fd\u63d0\u5347\u3002<\/section>\n<section><\/section>\n<section><strong>\u65b9\u6cd5<\/strong><\/section>\n<section><\/section>\n<section><strong>\u6570\u636e\u8bbe\u5b9a<\/strong><\/section>\n<section><\/section>\n<section>\u5e38\u89c1\u7684\u6570\u5b66\u8bad\u7ec3\u96c6\u5728\u95ee\u9898\u96be\u5ea6\u4e0a\u65e0\u660e\u786e\u754c\u9650\uff0c\u6570\u5b66\u95ee\u9898\u5f80\u5f80\u5177\u6709\u4e0d\u5b9a\u7684\u903b\u8f91\u6df1\u5ea6\u3001\u77e5\u8bc6\u80cc\u666f\u8981\u6c42\uff0c\u5bf9\u53ef\u63a7\u7684\u5206\u6790\u5b9e\u9a8c\u4e0d\u53cb\u597d\u3002\u4e8e\u662f\u4e3a\u4e86\u5206\u6790\u63a8\u7406\u6a21\u578b\u7684\u673a\u5236\uff0c\u4f5c\u8005\u8f6c\u5411\u4e86\u5b8c\u5168\u7531\u7a0b\u5e8f\u5408\u6210\u7684\u7684\u300c\u903b\u8f91\u8c1c\u9898\u300d\u4f5c\u4e3a\u8bad\u7ec3\u6570\u636e\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-b736024db44753300aead035ef426953.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-b736024db44753300aead035ef426953.png\"><\/a><\/section>\n<blockquote data-author-name=\"\" data-content-utf8-length=\"119\" data-source-title=\"\" data-type=\"2\" data-url=\"\">\n<section>\n<section>\u793a\u4f8b\u95ee\u9898\uff1a\u4e00\u4e2a\u975e\u5e38\u7279\u6b8a\u7684\u5c9b\u5c7f\u4e0a\u53ea\u4f4f\u7740\u9a91\u58eb\u548c\u9a97\u5b50\u3002\u9a91\u58eb\u603b\u662f\u8bf4\u771f\u8bdd\uff0c\u9a97\u5b50\u603b\u662f\u8bf4\u8c0e\u3002\u4f60\u9047\u5230\u4e24\u4f4d\u5c9b\u6c11\uff1aZoey \u548c Oliver\u3002Zoey \u8bf4\uff1a\u300cOliver \u4e0d\u662f\u9a91\u58eb\u3002\u300dOliver \u8bf4\uff1a\u300cOliver \u662f\u9a91\u58eb\u4e14 Zoey \u662f\u9a97\u5b50\u3002\u300d\u8bf7\u95ee\uff0c\u8c01\u662f\u9a91\u58eb\uff0c\u8c01\u662f\u9a97\u5b50\uff1f<\/section>\n<\/section>\n<\/blockquote>\n<section><\/section>\n<section>\u8fd9\u4e2a\u300c\u9a91\u58eb\u4e0e\u9a97\u5b50\u300d\u8c1c\u9898\uff0c\u56e0\u5176\u5408\u6210\u8bbe\u8ba1\u548c\u903b\u8f91\u7cbe\u786e\u6027\u800c\u975e\u5e38\u9002\u5408\u8fdb\u4e00\u6b65\u5206\u6790\uff1a<\/section>\n<section><\/section>\n<section>1. \u8c1c\u9898\u5bf9\u4e8e\u6a21\u578b\u6765\u8bf4\u90fd\u662f\u672a\u89c1\u8fc7\u7684\u6570\u636e\uff0c\u975e\u5e38\u9002\u5408\u7528\u6765\u6d4b\u8bd5\u6cdb\u5316\u80fd\u529b<\/section>\n<section>2. \u901a\u8fc7\u6539\u53d8\u6e38\u620f\u4eba\u6570\uff082 \u5230 8 \u4e2a\uff09\u548c\u903b\u8f91\u8fd0\u7b97\u7684\u6df1\u5ea6\uff081 \u5230 4 \u79cd\u5e03\u5c14\u8fd0\u7b97\u7b26\u7684\u7ec4\u5408\uff09\uff0c\u53ef\u4ee5\u8c03\u8282\u96be\u5ea6<\/section>\n<section>3. \u6bcf\u4e2a\u8c1c\u9898\u90fd\u6709\u4e00\u4e2a\u5355\u4e00\u3001\u660e\u786e\u7684\u6b63\u786e\u7b54\u6848\uff0c\u6b63\u786e\u6027\u7531\u751f\u6210\u7b97\u6cd5\u4fdd\u8bc1\u3002\u89e3\u7b54\u9700\u8981\u4e25\u683c\u7684\u6f14\u7ece\u63a8\u7406\uff0c\u56e0\u6b64\u51cf\u5c11\u4e86\u5956\u52b1\u4f5c\u5f0a\u7684\u98ce\u9669<\/section>\n<section>4. \u8fd9\u6d88\u9664\u4e86\u81ea\u7136\u8bed\u8a00\u4efb\u52a1\u4e2d\u5e38\u89c1\u7684\u6a21\u7cca\u6027\uff0c\u4f7f\u6211\u4eec\u80fd\u591f\u6e05\u6670\u5730\u533a\u5206\u771f\u6b63\u7684\u63a8\u7406\u80fd\u529b\u548c\u6570\u636e\u8868\u9762\u4e0a\u7684\u8bb0\u5fc6\u80fd\u529b\u3002<\/section>\n<section><\/section>\n<section><strong>\u5956\u52b1\u8bbe\u8ba1<\/strong><\/section>\n<section><\/section>\n<section>\u6a21\u578b\u8d77\u521d\u4f1a\u7528\u4f5c\u5f0a (hack) \u7684\u65b9\u5f0f\u6765\u9a97\u53d6\u5956\u52b1\u5206\uff1a<\/section>\n<ul>\n<li>\n<p>\u8df3\u8fc7  \u8fc7\u7a0b\u5e76\u76f4\u63a5\u56de\u7b54\u3002<\/p>\n<\/li>\n<li>\n<p>\u5c06\u63a8\u7406\u8fc7\u7a0b\u653e\u5728  \u6807\u7b7e\u5185\u3002<\/p>\n<\/li>\n<li>\n<p>\u53cd\u590d\u731c\u6d4b\u7b54\u6848\u800c\u6ca1\u6709\u9002\u5f53\u7684\u63a8\u7406\u3002<\/p>\n<\/li>\n<li>\n<p>\u5728\u63d0\u4f9b\u7b54\u6848\u4e4b\u5916\u5305\u542b\u65e0\u5173\u7684\u5e9f\u8bdd\u3002<\/p>\n<\/li>\n<li>\n<p>\u5728\u5df2\u7ecf\u8f93\u51fa\u4e00\u4e2a  \u540e\u518d\u6b21\u8fdb\u5165\u601d\u8003\u9636\u6bb5\uff0c\u56e0\u4e3a\u63a8\u7406\u4e0d\u8db3\u3002<\/p>\n<\/li>\n<li>\n<p>\u91cd\u590d\u539f\u59cb\u95ee\u9898\u6216\u4f7f\u7528\u8bf8\u5982 \u201c\u5728\u6b64\u5904\u8fdb\u884c\u601d\u8003\u8fc7\u7a0b\u201d \u4e4b\u7c7b\u7684\u77ed\u8bed\u6765\u907f\u514d\u771f\u6b63\u7684\u63a8\u7406\u3002<\/p>\n<\/li>\n<\/ul>\n<section>\u591a\u8f6e\u8fed\u4ee3\u6539\u8fdb\u5956\u52b1\u51fd\u6570\u540e\uff0c\u4f5c\u8005\u8bbe\u8ba1\u51fa\u4e86\u4e00\u79cd\u51e0\u4e4e\u65e0\u6cd5\u4f5c\u5f0a\u7684\u57fa\u4e8e\u89c4\u5219\u7684\u5956\u52b1\u7cfb\u7edf\u3002\u4ec5\u5305\u542b\u4e24\u79cd\u5956\u52b1\u7c7b\u578b\uff1a\u683c\u5f0f\u5956\u52b1\u548c\u7b54\u6848\u5956\u52b1\u3002\u601d\u8003\u6807\u7b7e\u5e94\u8be5\u4e25\u683c\u6309\u7167\u987a\u5e8f\u51fa\u73b0\uff0c\u4e14\u51fa\u73b0\u6b21\u6570\u552f\u4e00\uff0c\u601d\u8003\u8fc7\u7a0b\u5fc5\u987b\u5305\u542b\u771f\u6b63\u7684\u63a8\u7406\uff0c\u7b54\u6848\u7ec4\u7ec7\u8981\u53ef\u63d0\u53d6\u4e14\u53ef\u8bfb\u3002<\/section>\n<ul>\n<li>\n<p>\u683c\u5f0f\u5956\u52b1\uff1a\u6309\u683c\u5f0f\u6b63\u786e\u4e0e\u5426\u7ed9 + 1 \u6216 &#8211; 1 \u7684\u5956\u52b1\u3002<\/p>\n<\/li>\n<li>\n<p>\u7b54\u6848\u5956\u52b1\uff1a\u7b54\u6848\u65e0\u6cd5\u88ab\u63d0\u53d6\uff0c\u5956\u52b1\u4e3a &#8211; 2\uff1b\u7b54\u6848\u90e8\u5206\u9519\u8bef\u65f6\uff0c\u5956\u52b1\u4e3a &#8211; 1.5\uff0c\u7b54\u6848\u6b63\u786e\u65f6\uff0c\u5956\u52b1\u4e3a + 2\u3002<\/p>\n<\/li>\n<\/ul>\n<section>\u4e3a\u4e86\u51cf\u5c11 Base \u6a21\u578b\u6307\u4ee4\u8ddf\u968f\u96be\u5ea6\uff08\u9075\u5b88\u5148\u601d\u8003\u518d\u56de\u7b54\u7684\u8303\u5f0f\uff09\uff0c\u4f5c\u8005\u5efa\u8bae\u76f4\u63a5\u628a &lt; think &gt; \u6807\u7b7e\u624b\u52a8\u52a0\u5165 prompt \u91cc\u3002<\/section>\n<section><\/section>\n<section><strong>\u5b9e\u9a8c\u7ed3\u679c<\/strong><\/section>\n<section><\/section>\n<section>\u4f5c\u8005\u7ecf\u8fc7\u767e\u7ec4\u5bf9\u6bd4\u5b9e\u9a8c\uff0c\u5bf9\u6bd4\u4e86 PPO\uff0cGRPO\uff0c\u548c REINFORCE++\u3002\u6700\u540e\u9009\u62e9\u91c7\u7528\u6027\u4ef7\u6bd4\u6700\u597d\u7684 REINFORCE++ \u7b97\u6cd5\u5b8c\u6210\u4e3b\u5b9e\u9a8c\u3002\u56e2\u961f\u9075\u5faa DeepSeek Math \u8bba\u6587\u7684\u5efa\u8bae\uff0c\u6539\u52a8\u4e86 REINFORCE++ \u7b97\u6cd5\u5b9e\u73b0\uff0c\u63d0\u51fa\u4e86\u4e24\u70b9\u4fee\u6b63\uff1a\u5c06 KL \u60e9\u7f5a\u4ece reward \u8ba1\u7b97\u63d0\u51fa\uff0c\u653e\u8fdb loss \u51fd\u6570\u91cc\uff1b\u5e76\u4e14\u66f4\u6362 KL \u4f30\u8ba1\u5668\uff0c\u91c7\u7528\u4e00\u79cd\u65e0\u504f\u975e\u8d1f\u7684 KL \u4f30\u8ba1\u3002<\/section>\n<section><\/section>\n<section>\u8bad\u7ec3\u65b9\u5f0f\u4e0a\uff0c\u4f5c\u8005\u5c1d\u8bd5\u4e86\u591a\u7ec4\u590d\u6742\u8c03\u5ea6 (\u4f8b\u5982\u9ad8\u4f4e\u6e29\u591a\u9636\u6bb5\u8bad\u7ec3)\uff0c\u53d1\u73b0\u589e\u76ca\u4e0d\u9ad8\uff0c\u7531\u6b64\u51b3\u5b9a\u91c7\u7528\u6700\u7b80\u5355\u7684\u8bad\u7ec3\u65b9\u5f0f\uff1a\u4f7f\u7528 4e-7 \u7684\u5b66\u4e60\u7387\u4ee5\u53ca 0.7 \u7684\u6e29\u5ea6\u4e00\u8bad\u5230\u5e95\u3002\u7ecf\u8fc7 3.6K \u6b65\u6570\u7684\u8bad\u7ec3\u4e4b\u540e\uff0c\u6a21\u578b\u8d85\u8d8a OpenAI o1 2 \u500d\uff0c\u76f4\u903c o3-mini-high \u7684\u6027\u80fd\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-767b49cbd7038b94646bb42e4ad46321.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-767b49cbd7038b94646bb42e4ad46321.png\"><\/a><\/section>\n<section><strong>\u6709\u8da3\u7684\u53d1\u73b0\u4e0e\u5206\u6790<\/strong><\/section>\n<section><\/section>\n<section><strong>\u300c\u601d\u8003\u300dtoken \u8bcd\u9891\u4e0e\u63a8\u7406\u80fd\u529b\u7684\u5173\u7cfb\uff1f<\/strong><\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-49c45d88002bd848343f885de9ab3c25.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-49c45d88002bd848343f885de9ab3c25.png\"><\/a><\/section>\n<section>\u4f5c\u8005\u68c0\u67e5\u4e86\u601d\u8003\u76f8\u5173\u7684\u8bcd\u6c47\uff0c\u5728\u6a21\u578b\u8f93\u51fa\u7684 &lt; think&gt; \u5185\u51fa\u73b0\u4e0e\u5426\uff0c\u5bf9\u5e94\u7b54\u6848\u7684\u51c6\u786e\u7387\uff1a<\/section>\n<section><\/section>\n<section>1. \u5f53 &#8220;wait&#8221; &#8220;verify&#8221; &#8220;yet&#8221;\uff08\u7a0d\u7b49\uff0c\u9a8c\u8bc1\uff0c\u7136\u800c\uff09\u7b49\u7b49\u8bcd\u51fa\u73b0\u7684\u65f6\u5019\uff0c\u63a8\u7406\u6027\u80fd\u660e\u663e\u66f4\u9ad8\u3002\u7136\u800c\u4e5f\u6709\u610f\u60f3\u4e0d\u5230\u7684\u60c5\u51b5\uff1a\u201crecheck\u201d \u51fa\u73b0\u7684\u65f6\u5019\uff0c\u4f1a\u5bfc\u81f4\u63a8\u7406\u5206\u6570\u4e0b\u964d\uff0c\u4e0d\u662f\u6240\u6709\u4eba\u4eec\u4ee5\u4e3a\u7684\u601d\u8003\u8bcd\u90fd\u80fd\u6da8\u70b9\u3002recheck \u53ef\u80fd\u8868\u793a\u6a21\u578b\u603b\u662f\u4e3e\u68cb\u4e0d\u5b9a\uff0c\u4f1a\u66f4\u5927\u6982\u7387\u72af\u9519\u3002<\/section>\n<section>2. \u8bf4 re-evaluate \u548c reevaluate\uff08\u518d\u6b21\u8bc4\u4f30\uff09\u7684\u884c\u4e3a\u5b8c\u5168\u4e0d\u4e00\u6837\u3002\u524d\u8005\u6da8\uff0c\u540e\u8005\u8dcc\u3002\u4f5c\u8005\u68c0\u67e5\u4e86\u539f\u59cb\u6a21\u578b\u8f93\u51fa\uff0c\u53d1\u73b0\u524d\u8005\u7684\u9891\u6b21\u672c\u8eab\u5c31\u5f88\u9ad8\uff0c\u800c\u540e\u8005\u51e0\u4e4e\u4e0d\u51fa\u73b0\uff0c\u8fd9\u4f3c\u4e4e\u8868\u660e\u6a21\u578b\u4f7f\u7528\u81ea\u5df1\u504f\u597d\u7684\u8bcd\u80fd\u66f4\u987a\u5229\u5730\u5b8c\u6210\u63a8\u7406\u8fc7\u7a0b\u3002<\/section>\n<section>3. \u8bed\u8a00\u6df7\u6742\u73b0\u8c61 (\u4f8b\u5982\u4e2d\u82f1\u5939\u6742\u56de\u7b54\u95ee\u9898) \u867d\u7136\u8ff7\u4eba\uff0c\u4f46\u4f1a\u524a\u5f31\u6a21\u578b\u6027\u80fd\uff0c\u589e\u52a0\u6a21\u578b\u72af\u9519\u7684\u51e0\u7387\u3002\u7531\u6b64\u4f5c\u8005\u5efa\u8bae\u5728\u683c\u5f0f\u5956\u52b1\u4e2d\u52a0\u5165\u8bed\u8a00\u4e00\u81f4\u6027\u60e9\u7f5a\u3002\u4e0d\u4ec5\u80fd\u63d0\u9ad8\u7528\u6237\u7684\u53ef\u8bfb\u6027\uff0c\u8fd8\u80fd\u6f5c\u5728\u5730\u589e\u5f3a\u6027\u80fd\u3002<\/section>\n<section><\/section>\n<section><strong>\u7a81\u5982\u5176\u6765\u7684 Aha Moment \u6216\u8bb8\u6839\u672c\u4e0d\u5b58\u5728\uff1f<\/strong><\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-147d2b11a6628f7de77b49f024ca0282.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-147d2b11a6628f7de77b49f024ca0282.png\"><\/a><\/section>\n<section>\u4f5c\u8005\u7edf\u8ba1\u4e86\u8bad\u7ec3\u8fc7\u7a0b\u4e2d\u601d\u8003\u76f8\u5173\u7684\u5404\u8bcd\u9891\u53d8\u5316\u3002RL \u8bad\u7ec3\u81ea\u7136\u5730\u63d0\u9ad8\u4e86\u4e0e\u53cd\u601d\u76f8\u5173\u8bcd\u6c47\uff08\u5982 verify, check\uff09\u4ee5\u53ca\u8bed\u6c14\u8212\u7f13\u8bcd\uff08let&#8217;s, yet, now that..\uff09\u7684\u9891\u7387\u3002<\/section>\n<section><\/section>\n<section>\u4f3c\u4e4e\u4e0d\u5b58\u5728\u5ffd\u7136\u7684\u987f\u609f\u65f6\u523b \u2014\u2014 \u5373\u6240\u8c13\u7684 Aha moment\u3002\u8fd9\u4e9b\u601d\u8003\u6027\u8bcd\u6c47\uff0c\u5728\u8bad\u7ec3\u7684\u524d\u5341\u6b65\u5c31\u5df2\u7ecf\u51fa\u73b0\uff0c\u53ea\u662f\u9891\u6b21\u5f88\u4f4e\u3002\u5e76\u4e14\u5728\u8bad\u7ec3\u8fc7\u7a0b\u4e2d\uff0c\u8fd9\u4e9b\u8bcd\u8bed\u7684\u8bcd\u9891\u53ea\u662f\u7f13\u6162\u589e\u957f\uff0c\u5e76\u4e0d\u5b58\u5728\u7a81\u7136\u7684\u987f\u609f\u3002<\/section>\n<section><\/section>\n<section><strong>SFT \u4f9d\u8d56\u8bb0\u5fc6\uff1bRL \u6cdb\u5316\u6027\u66f4\u597d<\/strong><\/section>\n<section><\/section>\n<section>\u5728\u8bad\u7ec3\u6570\u636e\u96c6\u4e0a\u8fdb\u884c\u6270\u52a8\uff0c\u4f8b\u5982\u66f4\u6362\u903b\u8f91\u9898\u91cc\u7684\u8868\u8ff0\uff08and-&gt;or\/not\uff09\uff0c\u8c03\u6362\u591a\u4eba\u8fdb\u884c\u9648\u8ff0\u7684\u987a\u5e8f\uff0c\u4f7f\u5f97\u95ee\u9898\u7b54\u6848\u548c\u89e3\u7b54\u8def\u5f84\u53d1\u751f\u5b8c\u5168\u6539\u53d8\u3002\u5982\u679c\u6a21\u578b\u771f\u7684\u5b66\u4f1a\u4e86\u9898\u76ee\u80cc\u540e\u7684\u63a8\u7406\u6280\u80fd\uff0c\u5e94\u8be5\u5728\u9898\u76ee\u88ab\u6270\u52a8\u540e\u8fd8\u80fd\u4fdd\u6301\u76f8\u5f53\u7684\u6b63\u7b54\u7387\u3002\u4e8e\u662f\u5b9a\u4e49\u8bb0\u5fc6\u5206\u6570 (LiMem) \u4e3a\uff1a\u6d4b\u8bd5\u96c6\u6b63\u786e\u7387 * \u8bad\u7ec3\u96c6\u6270\u52a8\u540e\u7684\u51fa\u9519\u7387\u3002<\/section>\n<section><\/section>\n<section>\u4e3a\u4e86\u83b7\u5f97\u5408\u7406\u7684\u6709\u76d1\u7763\u5fae\u8c03\uff08SFT\uff09\u601d\u7ef4\u94fe\u6570\u636e\uff0c\u4f5c\u8005\u7528\u539f\u6a21\u578b\u8fdb\u884c 50 \u6b21\u62d2\u7edd\u91c7\u6837\uff0c\u6311\u9009\u6b63\u786e\u4e14\u6700\u77ed\u7684\u8f93\u51fa\u4f5c\u4e3a\u65b0\u7684 CoT \u6570\u636e\u96c6\u3002\u7531\u6b64\u5408\u7406\u5bf9\u6bd4\u62d2\u7edd\u91c7\u6837\u5fae\u8c03\uff08RFT\uff09\u548c\u5f3a\u5316\u5b66\u4e60\uff08RL\uff09\u7684\u6548\u7387\u548c\u8bb0\u5fc6\u6027\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-228ebfe5d6e738a9b9f8ffc84f81ccf2.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-228ebfe5d6e738a9b9f8ffc84f81ccf2.png\"><\/a><\/section>\n<section>SFT \u662f\u5728\u8bb0\u5fc6\u5206\u6570 (\u6a2a\u8f74) \u5927\u5e45\u589e\u957f\u7684\u4ee3\u4ef7\u4e0b\uff0c\u6362\u53d6\u5c11\u91cf\u7684\u6d4b\u8bd5\u96c6\u5206\u6570\u63d0\u9ad8\u7684\uff1b\u800c RL \u51e0\u4e4e\u4e0d\u589e\u957f\u8bb0\u5fc6\u6027 (\u751a\u81f3\u51fa\u73b0\u4e86\u8d1f\u589e\u957f)\uff0c\u800c\u7eb5\u8f74\u4e0a\u7684\u6d4b\u8bd5\u96c6\u5206\u6570\u5feb\u901f\u589e\u957f\u3002<\/section>\n<section><\/section>\n<section>\u8fd9\u6697\u793a\u7740\u5f3a\u5316\u5b66\u4e60\u7684\u4f18\u8d8a\u6027\uff1a\u4e0d\u4f9d\u8d56\u4e8e\u6570\u636e\u672c\u8eab\u7684\u7ed3\u6784\uff0c\u7528\u6781\u4f4e\u7684\u6570\u636e\u4ee3\u4ef7\u5c31\u80fd\u5b9e\u73b0\u9ad8\u6548\u8fdb\u5316\uff0c\u4f53\u73b0\u51fa\u8d85\u8d8a\u5f53\u524d\u6570\u636e\u9886\u57df\u7684\u5f3a\u5927\u6cdb\u5316\u6027\u3002<\/section>\n<section><\/section>\n<section><strong>\u66f4\u957f\u7684\u601d\u8003\u8fc7\u7a0b\u662f\u5426\u4ee3\u8868\u4e86\u66f4\u597d\u7684\u63a8\u7406\u6027\u80fd\uff1f<\/strong><\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-8eed08c02ada8e7683339e3b0810a8b1.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-8eed08c02ada8e7683339e3b0810a8b1.png\"><\/a><\/section>\n<section>\u4f5c\u8005\u5728\u8bad\u7ec3\u8fc7\u7a0b\u4e2d\u627e\u5230\u51e0\u7ec4\u53cd\u4f8b\uff0c\u6709\u529b\u5730\u9a73\u65a5\u4e86\u8fd9\u79cd\u89c2\u70b9\u3002<\/section>\n<section><\/section>\n<section>\u867d\u7136\u8bad\u7ec3\u52a8\u6001\u4e2d\u6a21\u578b\u8f93\u51fa\u957f\u5ea6\u603b\u662f\u81ea\u7136\u589e\u957f\uff0c\u4f46\u5176\u6da8\u5e45\u4e0d\u80fd\u4ee3\u8868\u63a8\u7406\u6027\u80fd\u7684\u540c\u6b65\u589e\u957f\u3002\u6709\u65f6\u5019\u6a21\u578b\u4f1a\u9677\u5165 &#8221; \u8fc7\u5ea6\u601d\u8003 \u201c\u56f0\u5883\uff0c\u8f93\u51fa\u8fc7\u957f\u7684\u601d\u7ef4\u94fe\uff0c\u66f4\u5bb9\u6613\u89e6\u53d1\u957f\u5ea6\u5d29\u574f\u3002\u6700\u6709\u6548\u7387\u7684\u601d\u8003\u8fc7\u7a0b\uff0c\u5f80\u5f80\u6765\u81ea\u6700\u77ed\u4e14\u6b63\u786e\u7684\u8def\u5f84\u3002<\/section>\n<section><\/section>\n<section>\u6545\u800c\uff0c\u66f4\u957f\u7684\u8f93\u51fa\u957f\u5ea6\u4e0d\u662f\u8bad\u7ec3\u8fc7\u7a0b\u91cc\u8861\u91cf\u63a8\u7406\u6027\u80fd\u7684\u6709\u6548\u6307\u6807\uff0c\u53ea\u80fd\u5f53\u6210\u81ea\u7136\u4ea7\u751f\u7684\u526f\u4ea7\u7269\u770b\u5f85\u3002\u5bf9\u6d4b\u8bd5\u96c6\u5206\u6570\u4e0e\u6a21\u578b\u8f93\u51fa\u7684\u89c2\u5bdf\uff0c\u662f\u66f4\u7a33\u59a5\u7684\u505a\u6cd5\u3002<\/section>\n<section><\/section>\n<section><strong>\u5176\u5b83\u7ed3\u679c<\/strong><\/section>\n<section><\/section>\n<section>\u9664\u4e86\u4e0a\u8ff0\u7ed3\u679c\uff0c\u8be5\u7814\u7a76\u8fd8\u6709\u51e0\u4e2a\u6709\u8da3\u7684\u53d1\u73b0\uff1a<\/section>\n<ul>\n<li>\n<p>\u51b7\u542f\u52a8\u81ea\u6709\u5176\u597d\u5904\uff0c\u4f46\u975e\u5fc5\u9700\u3002\u65e0\u8bba\u662f\u4ece Base \u6a21\u578b\u8fd8\u662f Instruct \u6a21\u578b\u5f00\u59cb\uff0c\u8bad\u7ec3\u52a8\u6001\u90fd\u4fdd\u6301\u60ca\u4eba\u7684\u76f8\u4f3c\u6027\u3002\u4e0d\u8fc7 SFT \u540e\u7684\u6a21\u578b\u5f80\u5f80\u62e5\u6709\u7565\u9ad8\u7684\u51c6\u786e\u7387\u3002<\/p>\n<\/li>\n<li>\n<p>\u5bf9\u96be\u5ea6\u9012\u8fdb\u7684\u8bfe\u7a0b\u5b66\u4e60\u4ecd\u7136\u91cd\u8981\u3002\u5728\u56fa\u5b9a\u7684\u6570\u636e\u6df7\u5408\u6bd4\u4f8b\u4e0b\uff0c\u7cbe\u5fc3\u8bbe\u8ba1\u7684\u8bfe\u7a0b\u5b66\u4e60\u65b9\u6cd5\u603b\u662f\u4f18\u4e8e\u968f\u673a\u6253\u4e71\u3002<\/p>\n<\/li>\n<\/ul>\n<section>\u66f4\u591a\u7814\u7a76\u7ec6\u8282\uff0c\u8bf7\u53c2\u9605\u8bba\u6587\u539f\u6587\uff01<\/section>\n<p>\u6587\u7ae0\u6765\u6e90\u4e8e\u4e92\u8054\u7f51:<a href=\"https:\/\/www.jiqizhixin.com\/articles\/2025-02-25-3\" target=\"_blank\">\u4ec5\u9760\u903b\u8f91\u9898\uff0cAI\u6570\u5b66\u7ade\u8d5b\u80fd\u529b\u98d9\u5347\uff01\u5fae\u8f6f\u3001\u4e5d\u5764\u6295\u8d44\uff1a7B\u5c0f\u6a21\u578b\u4e5f\u80fd\u903c\u8fd1o3-mini<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u6587\u7ae0\u6765\u6e90\u4e8e\u4e92\u8054\u7f51:\u4ec5\u9760\u903b\u8f91\u9898\uff0cAI\u6570\u5b66\u7ade [&hellip;]<\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"open","ping_status":"","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[27],"tags":[68,81],"class_list":["post-38938","post","type-post","status-publish","format-standard","hentry","category-news","tag-68","tag-81"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.9 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>\u4ec5\u9760\u903b\u8f91\u9898\uff0cAI\u6570\u5b66\u7ade\u8d5b\u80fd\u529b\u98d9\u5347\uff01\u5fae\u8f6f\u3001\u4e5d\u5764\u6295\u8d44\uff1a7B\u5c0f\u6a21\u578b\u4e5f\u80fd\u903c\u8fd1o3-mini - \u4e00\u8d77AI\u6280\u672f<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/17aitech.com\/?p=38938\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\\\/\\\/17aitech.com\\\/?p=38938#article\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/17aitech.com\\\/?p=38938\"},\"author\":{\"name\":\"AI\u5c0f\u52a9\u624b\",\"@id\":\"https:\\\/\\\/17aitech.com\\\/#\\\/schema\\\/person\\\/60225458499e817ae0af73e67e440b9d\"},\"headline\":\"\u4ec5\u9760\u903b\u8f91\u9898\uff0cAI\u6570\u5b66\u7ade\u8d5b\u80fd\u529b\u98d9\u5347\uff01\u5fae\u8f6f\u3001\u4e5d\u5764\u6295\u8d44\uff1a7B\u5c0f\u6a21\u578b\u4e5f\u80fd\u903c\u8fd1o3-mini\",\"datePublished\":\"2025-02-25T21:01:37+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\\\/\\\/17aitech.com\\\/?p=38938\"},\"wordCount\":147,\"commentCount\":0,\"image\":{\"@id\":\"https:\\\/\\\/17aitech.com\\\/?p=38938#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/17aitech.com\\\/wp-content\\\/uploads\\\/2025\\\/02\\\/frc-92d20c48ad43df4dbed70fbb3c513655.png\",\"keywords\":[\"\u5927\u6a21\u578b\",\"\u6a21\u578b\u8bad\u7ec3\"],\"articleSection\":[\"\u884c\u4e1a\u8d44\u8baf\"],\"inLanguage\":\"zh-Hans\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\\\/\\\/17aitech.com\\\/?p=38938#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/17aitech.com\\\/?p=38938\",\"url\":\"https:\\\/\\\/17aitech.com\\\/?p=38938\",\"name\":\"\u4ec5\u9760\u903b\u8f91\u9898\uff0cAI\u6570\u5b66\u7ade\u8d5b\u80fd\u529b\u98d9\u5347\uff01\u5fae\u8f6f\u3001\u4e5d\u5764\u6295\u8d44\uff1a7B\u5c0f\u6a21\u578b\u4e5f\u80fd\u903c\u8fd1o3-mini - \u4e00\u8d77AI\u6280\u672f\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/17aitech.com\\\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\\\/\\\/17aitech.com\\\/?p=38938#primaryimage\"},\"image\":{\"@id\":\"https:\\\/\\\/17aitech.com\\\/?p=38938#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/17aitech.com\\\/wp-content\\\/uploads\\\/2025\\\/02\\\/frc-92d20c48ad43df4dbed70fbb3c513655.png\",\"datePublished\":\"2025-02-25T21:01:37+00:00\",\"author\":{\"@id\":\"https:\\\/\\\/17aitech.com\\\/#\\\/schema\\\/person\\\/60225458499e817ae0af73e67e440b9d\"},\"breadcrumb\":{\"@id\":\"https:\\\/\\\/17aitech.com\\\/?p=38938#breadcrumb\"},\"inLanguage\":\"zh-Hans\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\\\/\\\/17aitech.com\\\/?p=38938\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"zh-Hans\",\"@id\":\"https:\\\/\\\/17aitech.com\\\/?p=38938#primaryimage\",\"url\":\"https:\\\/\\\/17aitech.com\\\/wp-content\\\/uploads\\\/2025\\\/02\\\/frc-92d20c48ad43df4dbed70fbb3c513655.png\",\"contentUrl\":\"https:\\\/\\\/17aitech.com\\\/wp-content\\\/uploads\\\/2025\\\/02\\\/frc-92d20c48ad43df4dbed70fbb3c513655.png\"},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\\\/\\\/17aitech.com\\\/?p=38938#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"\u9996\u9875\",\"item\":\"https:\\\/\\\/17aitech.com\\\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"\u4ec5\u9760\u903b\u8f91\u9898\uff0cAI\u6570\u5b66\u7ade\u8d5b\u80fd\u529b\u98d9\u5347\uff01\u5fae\u8f6f\u3001\u4e5d\u5764\u6295\u8d44\uff1a7B\u5c0f\u6a21\u578b\u4e5f\u80fd\u903c\u8fd1o3-mini\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\\\/\\\/17aitech.com\\\/#website\",\"url\":\"https:\\\/\\\/17aitech.com\\\/\",\"name\":\"\u4e00\u8d77AI\u6280\u672f\",\"description\":\"\u8ba9AI\u77e5\u8bc6\u89e6\u624b\u53ef\u53ca\",\"alternateName\":\"\u4e00\u8d77AI\u6280\u672f\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\\\/\\\/17aitech.com\\\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"zh-Hans\"},{\"@type\":\"Person\",\"@id\":\"https:\\\/\\\/17aitech.com\\\/#\\\/schema\\\/person\\\/60225458499e817ae0af73e67e440b9d\",\"name\":\"AI\u5c0f\u52a9\u624b\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"zh-Hans\",\"@id\":\"\\\/\\\/17aitech.com\\\/wp-content\\\/uploads\\\/2024\\\/04\\\/robot_3.png\",\"url\":\"\\\/\\\/17aitech.com\\\/wp-content\\\/uploads\\\/2024\\\/04\\\/robot_3.png\",\"contentUrl\":\"\\\/\\\/17aitech.com\\\/wp-content\\\/uploads\\\/2024\\\/04\\\/robot_3.png\",\"caption\":\"AI\u5c0f\u52a9\u624b\"},\"description\":\"\u8fd9\u4e2a\u4eba\u5f88\u61d2\uff0c\u4ec0\u4e48\u90fd\u6ca1\u6709\u7559\u4e0b\uff5e\",\"url\":\"https:\\\/\\\/17aitech.com\\\/?page_id=33738&user=3\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"\u4ec5\u9760\u903b\u8f91\u9898\uff0cAI\u6570\u5b66\u7ade\u8d5b\u80fd\u529b\u98d9\u5347\uff01\u5fae\u8f6f\u3001\u4e5d\u5764\u6295\u8d44\uff1a7B\u5c0f\u6a21\u578b\u4e5f\u80fd\u903c\u8fd1o3-mini - \u4e00\u8d77AI\u6280\u672f","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/17aitech.com\/?p=38938","schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/17aitech.com\/?p=38938#article","isPartOf":{"@id":"https:\/\/17aitech.com\/?p=38938"},"author":{"name":"AI\u5c0f\u52a9\u624b","@id":"https:\/\/17aitech.com\/#\/schema\/person\/60225458499e817ae0af73e67e440b9d"},"headline":"\u4ec5\u9760\u903b\u8f91\u9898\uff0cAI\u6570\u5b66\u7ade\u8d5b\u80fd\u529b\u98d9\u5347\uff01\u5fae\u8f6f\u3001\u4e5d\u5764\u6295\u8d44\uff1a7B\u5c0f\u6a21\u578b\u4e5f\u80fd\u903c\u8fd1o3-mini","datePublished":"2025-02-25T21:01:37+00:00","mainEntityOfPage":{"@id":"https:\/\/17aitech.com\/?p=38938"},"wordCount":147,"commentCount":0,"image":{"@id":"https:\/\/17aitech.com\/?p=38938#primaryimage"},"thumbnailUrl":"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-92d20c48ad43df4dbed70fbb3c513655.png","keywords":["\u5927\u6a21\u578b","\u6a21\u578b\u8bad\u7ec3"],"articleSection":["\u884c\u4e1a\u8d44\u8baf"],"inLanguage":"zh-Hans","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["https:\/\/17aitech.com\/?p=38938#respond"]}]},{"@type":"WebPage","@id":"https:\/\/17aitech.com\/?p=38938","url":"https:\/\/17aitech.com\/?p=38938","name":"\u4ec5\u9760\u903b\u8f91\u9898\uff0cAI\u6570\u5b66\u7ade\u8d5b\u80fd\u529b\u98d9\u5347\uff01\u5fae\u8f6f\u3001\u4e5d\u5764\u6295\u8d44\uff1a7B\u5c0f\u6a21\u578b\u4e5f\u80fd\u903c\u8fd1o3-mini - \u4e00\u8d77AI\u6280\u672f","isPartOf":{"@id":"https:\/\/17aitech.com\/#website"},"primaryImageOfPage":{"@id":"https:\/\/17aitech.com\/?p=38938#primaryimage"},"image":{"@id":"https:\/\/17aitech.com\/?p=38938#primaryimage"},"thumbnailUrl":"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-92d20c48ad43df4dbed70fbb3c513655.png","datePublished":"2025-02-25T21:01:37+00:00","author":{"@id":"https:\/\/17aitech.com\/#\/schema\/person\/60225458499e817ae0af73e67e440b9d"},"breadcrumb":{"@id":"https:\/\/17aitech.com\/?p=38938#breadcrumb"},"inLanguage":"zh-Hans","potentialAction":[{"@type":"ReadAction","target":["https:\/\/17aitech.com\/?p=38938"]}]},{"@type":"ImageObject","inLanguage":"zh-Hans","@id":"https:\/\/17aitech.com\/?p=38938#primaryimage","url":"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-92d20c48ad43df4dbed70fbb3c513655.png","contentUrl":"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-92d20c48ad43df4dbed70fbb3c513655.png"},{"@type":"BreadcrumbList","@id":"https:\/\/17aitech.com\/?p=38938#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"\u9996\u9875","item":"https:\/\/17aitech.com\/"},{"@type":"ListItem","position":2,"name":"\u4ec5\u9760\u903b\u8f91\u9898\uff0cAI\u6570\u5b66\u7ade\u8d5b\u80fd\u529b\u98d9\u5347\uff01\u5fae\u8f6f\u3001\u4e5d\u5764\u6295\u8d44\uff1a7B\u5c0f\u6a21\u578b\u4e5f\u80fd\u903c\u8fd1o3-mini"}]},{"@type":"WebSite","@id":"https:\/\/17aitech.com\/#website","url":"https:\/\/17aitech.com\/","name":"\u4e00\u8d77AI\u6280\u672f","description":"\u8ba9AI\u77e5\u8bc6\u89e6\u624b\u53ef\u53ca","alternateName":"\u4e00\u8d77AI\u6280\u672f","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/17aitech.com\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"zh-Hans"},{"@type":"Person","@id":"https:\/\/17aitech.com\/#\/schema\/person\/60225458499e817ae0af73e67e440b9d","name":"AI\u5c0f\u52a9\u624b","image":{"@type":"ImageObject","inLanguage":"zh-Hans","@id":"\/\/17aitech.com\/wp-content\/uploads\/2024\/04\/robot_3.png","url":"\/\/17aitech.com\/wp-content\/uploads\/2024\/04\/robot_3.png","contentUrl":"\/\/17aitech.com\/wp-content\/uploads\/2024\/04\/robot_3.png","caption":"AI\u5c0f\u52a9\u624b"},"description":"\u8fd9\u4e2a\u4eba\u5f88\u61d2\uff0c\u4ec0\u4e48\u90fd\u6ca1\u6709\u7559\u4e0b\uff5e","url":"https:\/\/17aitech.com\/?page_id=33738&user=3"}]}},"_links":{"self":[{"href":"https:\/\/17aitech.com\/index.php?rest_route=\/wp\/v2\/posts\/38938","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/17aitech.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/17aitech.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/17aitech.com\/index.php?rest_route=\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/17aitech.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=38938"}],"version-history":[{"count":0,"href":"https:\/\/17aitech.com\/index.php?rest_route=\/wp\/v2\/posts\/38938\/revisions"}],"wp:attachment":[{"href":"https:\/\/17aitech.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=38938"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/17aitech.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=38938"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/17aitech.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=38938"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}