{"id":35672,"date":"2024-12-29T12:00:11","date_gmt":"2024-12-29T04:00:11","guid":{"rendered":"https:\/\/17aitech.com\/?p=35672"},"modified":"2024-12-29T12:00:11","modified_gmt":"2024-12-29T04:00:11","slug":"cot%e8%83%bd%e8%ae%a9%e6%a8%a1%e5%9e%8b%e6%8e%a8%e7%90%86%e8%83%bd%e5%8a%9b%e6%97%a0%e4%b8%8a%e9%99%90%ef%bc%9f%e7%94%b0%e6%b8%8a%e6%a0%8b%e3%80%81lecun%e4%b8%8b%e5%9c%ba%e5%8f%8d%e5%af%b9%ef%bc%9a","status":"publish","type":"post","link":"https:\/\/17aitech.com\/?p=35672","title":{"rendered":"CoT\u80fd\u8ba9\u6a21\u578b\u63a8\u7406\u80fd\u529b\u65e0\u4e0a\u9650\uff1f\u7530\u6e0a\u680b\u3001LeCun\u4e0b\u573a\u53cd\u5bf9\uff1a\u4e24\u5c42MLP\u8fd8\u80fd\u6a21\u62df\u5168\u4e16\u754c\u5462"},"content":{"rendered":"<p>\u6587\u7ae0\u6765\u6e90\u4e8e\u4e92\u8054\u7f51:<a href=\"https:\/\/www.jiqizhixin.com\/articles\/2024-09-19-15\" target=\"_blank\">CoT\u80fd\u8ba9\u6a21\u578b\u63a8\u7406\u80fd\u529b\u65e0\u4e0a\u9650\uff1f\u7530\u6e0a\u680b\u3001LeCun\u4e0b\u573a\u53cd\u5bf9\uff1a\u4e24\u5c42MLP\u8fd8\u80fd\u6a21\u62df\u5168\u4e16\u754c\u5462<\/a><\/p>\n<section>\n<section>\n<blockquote data-author-name=\"\" data-content-utf8-length=\"48\" data-source-title=\"\" data-type=\"2\" data-url=\"\">\n<section>\n<p>\u300c\u8fd9\u76f8\u5f53\u4e8e\u5728\u7406\u8bba\u4e0a\uff0c\u4e24\u5c42\u795e\u7ecf\u7f51\u7edc\u5728\u7406\u8bba\u4e0a\u53ef\u4ee5\u62df\u5408\u4efb\u4f55\u6570\u636e\uff0c\u6211\u4eec\u5c31\u76f2\u76ee\u76f8\u4fe1\u5e76\u5e94\u7528\u5728\u6240\u6709\u573a\u666f\u4e2d\u3002\u300d<\/p>\n<\/section>\n<\/blockquote>\n<\/section>\n<\/section>\n<section><\/section>\n<section>\u5927\u6a21\u578b\u65b0\u8303\u5f0f OpenAI o1 \u4e00\u7ecf\u53d1\u5e03\uff0c\u5982\u4f55\u300c\u590d\u523b\u300d\u51fa o1 \u4fbf\u6210\u4e3a\u4e86 AI \u5708\u6700\u70ed\u7684\u8bdd\u9898\u3002<\/section>\n<section><\/section>\n<section>\u7531\u4e8e OpenAI \u5bf9\u6280\u672f\u7ec6\u8282\u5b88\u53e3\u5982\u74f6\uff0c\u60f3\u4ece AI \u90a3\u91cc\u300c\u5957\u8bdd\u300d\uff0c\u8ba9\u5b83\u590d\u8ff0\u5b8c\u6574\u7684\u5185\u90e8\u63a8\u7406\u8fc7\u7a0b\uff0c\u591a\u95ee\u51e0\u53e5\uff0cOpenAI \u76f4\u63a5\u53d1\u90ae\u4ef6\u8b66\u544a\u8981\u64a4\u9500\u4f60\u7684\u4f7f\u7528\u8d44\u683c\u3002\u60f3\u4ece\u6280\u672f\u62a5\u544a\u4e2d\u60f3\u627e\u51fa\u70b9\u86db\u4e1d\u9a6c\u8ff9\uff0c\u4e5f\u540c\u6837\u56f0\u96be\u3002\u4e8e\u662f\uff0c\u5927\u5bb6\u5c06\u76ee\u5149\u8f6c\u5411\u4e86\u4ee5\u5f80\u7c7b\u4f3c\u7684\u7814\u7a76\u6210\u679c\uff0c\u5e0c\u671b\u4ece\u4e2d\u627e\u5230\u4e9b\u7ebf\u7d22\u3002<\/section>\n<section><\/section>\n<section>\u6bd4\u5982\uff0cGoogle Brain \u63a8\u7406\u56e2\u961f\u521b\u5efa\u8005 Denny Zhou \u7acb\u523b\u62ff\u51fa\u4e86\u4ed6\u5728\u4eca\u5e74 5 \u6708\u4efd\u53d1\u8868\u7684\u8bba\u6587\uff1a\u300aChain of Thought Empowers Transformers to Solve Inherently Serial Problems\u300b\u3002\u8fd9\u7bc7\u8bba\u6587\u7684\u4f5c\u8005\u9635\u5bb9\u4e5f\u5f88\u8c6a\u534e\uff0c\u9664\u4e86 Denny Zhou\uff0c\u8fd8\u6709\u65af\u9686\u5956\u5f97\u4e3b\u9a6c\u817e\u5b87\u4ee5\u53ca\u4ed6\u7684\u4e24\u4f4d\u5b66\u751f\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/09\/frc-7f65770da8b1200508d831d2c41d8dd5.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/09\/frc-7f65770da8b1200508d831d2c41d8dd5.png\"><\/a><\/section>\n<ul>\n<li>\n<section>\u8bba\u6587\u94fe\u63a5\uff1ahttps:\/\/arxiv.org\/abs\/2402.12875<\/section>\n<\/li>\n<\/ul>\n<section>Denny Zhou \u8868\u793a\uff0c\u4ed6\u4eec\u5df2\u7ecf\u5728\u6570\u5b66\u4e0a\u8bc1\u660e\uff0c\u53ea\u8981\u5141\u8bb8 Transformer \u6a21\u578b\u751f\u6210\u8db3\u591f\u591a\u7684\u4e2d\u95f4\u63a8\u7406 tokens\uff0c\u5b83\u4eec\u5c31\u80fd\u89e3\u51b3\u4efb\u4f55\u95ee\u9898\uff0c\u8ba9 LLM \u7684\u63a8\u7406\u6ca1\u6709\u4e0a\u9650\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/09\/frc-88f035f709fc2fce464a6b3d1e159584.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/09\/frc-88f035f709fc2fce464a6b3d1e159584.png\"><\/a><\/section>\n<section>\u6982\u62ec\u8d77\u6765\uff0c\u8fd9\u7bc7\u8bba\u6587\u4e3b\u8981\u8bc1\u660e\u4e86\u5f15\u5165\u601d\u7ef4\u94fe\uff08CoT\uff09\u80fd\u591f\u663e\u8457\u63d0\u5347 Transformer \u7684\u8868\u8fbe\u80fd\u529b\uff0c\u4f7f\u5176\u80fd\u5904\u7406\u66f4\u52a0\u590d\u6742\u7684\u95ee\u9898\u3002<\/section>\n<section><\/section>\n<section><strong>\u52a0\u5165 CoT<\/strong><\/section>\n<section><strong>1 \u5c42\u7684 Transformer \u4e5f\u80fd\u505a\u590d\u6742\u63a8\u7406\u9898<\/strong><\/section>\n<section><\/section>\n<section>\u4e00\u76f4\u4ee5\u6765\uff0c\u5927\u5bb6\u90fd\u5728\u5bfb\u627e\u7a81\u7834 Transformer \u67b6\u6784\u7684\u65b9\u6cd5\u3002Transformer \u867d\u64c5\u957f\u5e76\u884c\u8ba1\u7b97\uff0c\u5374\u96be\u4ee5\u5904\u7406\u4e32\u884c\u63a8\u7406\u3002\u5e76\u884c\u8ba1\u7b97\u610f\u5473\u7740\u6a21\u578b\u53ef\u4ee5\u540c\u65f6\u5904\u7406\u591a\u4e2a\u6b65\u9aa4\uff0c\u5bf9\u4e8e\u9700\u8981\u9010\u6b65\u63a8\u7406\u7684\u95ee\u9898\u5c24\u4e3a\u91cd\u8981\u3002<\/section>\n<section><\/section>\n<section>\u5bf9\u6b64\uff0c\u8bba\u6587\u4f5c\u8005\u4eec\u63d0\u51fa\u4e86\u4e00\u4e2a\u5047\u8bbe\uff1aCoT \u53ef\u4ee5\u5e2e\u52a9 Transformer \u5b8c\u6210\u539f\u672c\u65e0\u6cd5\u505a\u5230\u7684\u4e32\u884c\u8ba1\u7b97\u3002<\/section>\n<section><\/section>\n<section>\u8bba\u6587\u4f5c\u8005\u4eec\u91c7\u7528\u4e86\u7535\u8def\u590d\u6742\u6027\uff08circuit complexity\uff09\u6765\u8ba8\u8bba Transformer \u7684\u80fd\u529b\u3002<\/section>\n<section><\/section>\n<section>\u7535\u8def\u590d\u6742\u6027\u6309\u590d\u6742\u7a0b\u5ea6\u5206\u4e3a\u4e0d\u540c\u7c7b\u522b\uff0c\u5982\uff1a<\/section>\n<section><\/section>\n<ul>\n<li>\n<section>AC\u2070\uff1a\u4ec5\u4f7f\u7528 AND\u3001OR\u3001NOT \u95e8\uff0c\u6df1\u5ea6\u4e3a\u5e38\u6570\uff0c\u901a\u5e38\u9002\u7528\u4e8e\u6bd4\u8f83\u7b80\u5355\u7684\u5e76\u884c\u8ba1\u7b97\u95ee\u9898\u3002<\/section>\n<\/li>\n<li>\n<section>TC\u2070\uff1a\u6269\u5c55\u4e86 AC\u2070\u7c7b\u95ee\u9898\uff0c\u589e\u52a0\u4e86\u591a\u6570\u51b3\u5b9a\u95e8\uff08MAJORITY gates\uff09\uff0c\u80fd\u5904\u7406\u66f4\u590d\u6742\u7684\u5e76\u884c\u8ba1\u7b97\u95ee\u9898\u3002<\/section>\n<\/li>\n<\/ul>\n<section><\/section>\n<section>\u6b64\u524d\u7684\u7814\u7a76\u5df2\u7ecf\u8868\u660e\uff0c\u4ec5\u89e3\u7801\u5668\u67b6\u6784\u7684 Transformer \u80fd\u591f\u9ad8\u6548\u5e76\u884c\u8ba1\u7b97\uff0c\u4f46\u5b83\u4eec\u7684\u8ba1\u7b97\u80fd\u529b\u6709\u9650\uff0c\u53ea\u80fd\u89e3\u51b3\u901a\u8fc7 TC\u2070\u7c7b\u7535\u8def\u80fd\u591f\u8ba1\u7b97\u7684\u95ee\u9898\u3002\u5982\u679c\u9650\u5236\u6761\u4ef6\u66f4\u52a0\u4e25\u683c\uff0c\u4e0d\u5141\u8bb8\u4f7f\u7528\u591a\u6570\u51b3\u5b9a\u95e8\u65f6\uff0cTransformer \u7684\u8ba1\u7b97\u80fd\u529b\u53ea\u80fd\u89e3\u51b3 AC\u2070\u7c7b\u95ee\u9898\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/09\/frc-12885890d772c6d4009a8cb60fe310b0.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/09\/frc-12885890d772c6d4009a8cb60fe310b0.png\"><\/a><\/section>\n<section>\u8bba\u6587\u6307\u51fa\uff0c\u6ca1\u6709 CoT \u65f6\uff0cTransformer \u7684\u4e32\u884c\u8ba1\u7b97\u6b21\u6570\u53d7\u5230\u6a21\u578b\u6df1\u5ea6\u7684\u9650\u5236\uff0c\u6df1\u5ea6\u8d8a\u5927\uff0c\u80fd\u5904\u7406\u7684\u4e32\u884c\u8ba1\u7b97\u6b65\u6570\u8d8a\u591a\u3002\u4f46\u6df1\u5ea6\u662f\u56fa\u5b9a\u7684\uff0c\u65e0\u6cd5\u968f\u4efb\u52a1\u589e\u52a0\u800c\u589e\u957f\u3002\u5f15\u5165 CoT\uff0c\u5219\u89e3\u51b3\u4e86\u8fd9\u4e2a\u95ee\u9898\uff0c\u80fd\u8ba9 Transformer \u751f\u6210 T \u6b65\u7684\u4e2d\u95f4\u6b65\u9aa4\uff0c\u589e\u52a0\u4e32\u884c\u8ba1\u7b97\u7684\u6b21\u6570\u5230 T\u3002<\/section>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/09\/frc-662b19d8a647c0afc3e07a35a02f3007.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/09\/frc-662b19d8a647c0afc3e07a35a02f3007.png\"><\/a><\/p>\n<section>\u8bba\u6587\u8fdb\u4e00\u6b65\u8bc1\u660e\uff0c\u5982\u679c Transformer \u7684\u5d4c\u5165\u7ef4\u5ea6\u4e0e\u8f93\u5165\u5e8f\u5217\u957f\u5ea6\u7684\u5bf9\u6570\u6210\u6bd4\u4f8b\uff0c\u5e76\u4e14\u914d\u5907 T \u6b65\u7684\u4e2d\u95f4\u6b65\u9aa4\uff0c\u90a3\u4e48\u8be5 Transformer \u80fd\u591f\u6a21\u62df\u5927\u5c0f\u4e3a T \u7684\u5e03\u5c14\u7535\u8def\uff0c\u8fdb\u800c\u89e3\u51b3 P\/poly \u7c7b\u95ee\u9898\u3002\u5982\u679c T \u503c\u7ebf\u6027\u589e\u957f\uff0cTransformer \u53ef\u4ee5\u5904\u7406\u6240\u6709\u6b63\u89c4\u8bed\u8a00\u7684\u95ee\u9898\uff0c\u5305\u62ec\u00a0S\u2085\u00a0\u8fd9\u6837\u7684\u590d\u6742\u7fa4\u7ec4\u5408\u95ee\u9898<\/section>\n<section><\/section>\n<section>\u4e3a\u4e86\u9a8c\u8bc1\u4e0a\u8ff0\u7406\u8bba\u5206\u6790\uff0c\u4f5c\u8005\u901a\u8fc7\u5b9e\u9a8c\u6bd4\u8f83\u4e86\u5f15\u5165 CoT \u524d\u540e\uff0cTransformer \u5728\u89e3\u51b3\u6a21\u52a0\u6cd5\u3001\u6392\u5217\u7ec4\u5408\u3001\u8fed\u4ee3\u5e73\u65b9\u548c\u7535\u8def\u503c\u95ee\u9898\u8fd9\u56db\u4e2a\u6838\u5fc3\u4efb\u52a1\u4e0a\u7684\u8868\u73b0\u3002\u5b9e\u9a8c\u5206\u522b\u5728\u4e09\u79cd\u8bbe\u7f6e\u4e0b\u8fdb\u884c\uff1a<\/section>\n<section><\/section>\n<ul>\n<li>\n<section><strong>Base \u6a21\u5f0f<\/strong>\uff1a\u6a21\u578b\u76f4\u63a5\u751f\u6210\u7ed3\u679c\uff0c\u76ee\u6807\u662f\u6700\u5c0f\u5316\u9884\u6d4b\u7ed3\u679c\u4e0e\u771f\u5b9e\u503c\u4e4b\u95f4\u7684\u5dee\u8ddd\u3002<\/section>\n<\/li>\n<li>\n<section><strong>CoT \u6a21\u5f0f<\/strong>\uff1a\u5728\u6bcf\u4e2a\u95ee\u9898\u4e0a\u4e3a\u6a21\u578b\u624b\u52a8\u8bbe\u8ba1\u4e86\u601d\u7ef4\u94fe\uff0c\u8bc4\u4f30\u6a21\u578b\u662f\u5426\u80fd\u591f\u6b63\u786e\u9884\u6d4b\u6574\u4e2a\u601d\u7ef4\u94fe\u4e2d\u7684\u6bcf\u4e2a token\u3002<\/section>\n<\/li>\n<li>\n<section><strong>Hint \u6a21\u5f0f<\/strong>\uff1a\u4e3a\u6a21\u578b\u63d0\u4f9b\u90e8\u5206\u63d0\u793a\u4fe1\u606f\uff0c\u5e2e\u52a9\u5176\u66f4\u597d\u5730\u751f\u6210\u4e2d\u95f4\u6b65\u9aa4\u3002\u5bf9\u4e8e Base \u6a21\u5f0f\u548c Hint \u6a21\u5f0f\uff0c\u76f4\u63a5\u8bc4\u4f30\u6700\u7ec8\u7b54\u6848\u7684\u51c6\u786e\u6027\u3002<\/section>\n<\/li>\n<\/ul>\n<section><\/section>\n<section><strong>\u6a21\u52a0\u6cd5\uff08Modular Addition\uff09<\/strong><\/section>\n<section><\/section>\n<section>\u7ed9\u5b9a\u4efb\u610f\u6b63\u6574\u6570 p\uff0c\u8fd9\u4e2a\u4efb\u52a1\u7684\u76ee\u6807\u662f\u901a\u8fc7\u6a21\u8fd0\u7b97\u6765\u8ba1\u7b97\u4e00\u4e2a\u8bcd\u8868\u7684\u548c\u3002\u8bba\u6587\u4f5c\u8005\u6309\u7167\u4ee5\u4e0b\u65b9\u5f0f\u751f\u6210\u5e8f\u5217 x = (x\u2081, &#8230;, x\u2099)\uff1a\u5bf9\u4e8e\u6bcf\u4e2a i \u2208 [n \u2212 1]\uff0c\u4ece {0, 1, &#8230;, p \u2212 1} \u4e2d\u72ec\u7acb\u91c7\u6837 x\u1d62\uff0c\u5e76\u5c06 x\u2099\u8bbe\u4e3a &#8216;=&#8217;\u3002\u6a21\u8fd0\u7b97\u7ed3\u679c\u4e3a\uff1a<a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/09\/frc-49b4aa5fe7c744e89c4d4c80099fed88.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/09\/frc-49b4aa5fe7c744e89c4d4c80099fed88.png\"><\/a>;\u5f15\u5165 CoT \u540e\u4e3a\uff0c<a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/09\/frc-6d0384f66c689b2676dc0b5e477a6eb2.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/09\/frc-6d0384f66c689b2676dc0b5e477a6eb2.png\"><\/a>\u3002<\/section>\n<section><\/section>\n<section>\u5982\u4e0b\u56fe\u6240\u793a\uff0c\u5f53 p=7 \u65f6\uff0c\u6d45\u5c42 Transformer \u5728\u6709\u63d0\u793a\u7684\u60c5\u51b5\u4e0b\u80fd\u591f\u5f88\u597d\u5730\u89e3\u51b3\u8f93\u5165\u5e8f\u5217\u8f83\u77ed\u65f6\u7684\u95ee\u9898\uff0c\u4f46\u4f7f\u7528 CoT \u65f6\uff0c\u5c24\u5176\u662f\u5728\u8f83\u957f\u7684\u8f93\u5165\u5e8f\u5217\u4e2d\uff0c\u6a21\u578b\u7684\u8868\u73b0\u8981\u597d\u5f97\u591a\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/09\/frc-356ab2676895af731e4f92b0ffeff785.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/09\/frc-356ab2676895af731e4f92b0ffeff785.png\"><\/a><\/section>\n<section><strong>\u6392\u5217\u7ec4\u5408\uff08Permutation Composition\uff09<\/strong><\/section>\n<section><\/section>\n<section>\u7ed9\u5b9a\u4e00\u4e2a\u81ea\u7136\u6570 p\uff0c\u8be5\u4efb\u52a1\u7684\u76ee\u6807\u662f\u5bf9\u8bcd\u8868 {1, . . . , p,(,), =} \u4e2d\u7684\u6240\u6709\u5143\u7d20\u8fdb\u884c\u6392\u5217\u7ec4\u5408\uff0c\u5f97\u5230 <a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/09\/frc-fcebdb2522590a6e4de66c02b1d0df89.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/09\/frc-fcebdb2522590a6e4de66c02b1d0df89.png\"><\/a>\u3002\u6700\u7ec8\u8f93\u51fa\u662f\u5c06\u6240\u6709\u6392\u5217\u7ec4\u5408\u6574\u5408\u5728\u4e00\u8d77\u7684\u7ed3\u679c\uff1a<a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/09\/frc-fedb1525c394ce3cb64bd95f4b61903f.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/09\/frc-fedb1525c394ce3cb64bd95f4b61903f.png\"><\/a>\u3002<\/section>\n<section><\/section>\n<section>\u5bf9\u4e8e CoT \u6a21\u5f0f\uff0cTransformer \u4e0d\u76f4\u63a5\u8ba1\u7b97\u6700\u7ec8\u7ed3\u679c\uff0c\u800c\u662f\u9010\u6b65\u5730\u3001\u90e8\u5206\u5730\u8fdb\u884c\u8ba1\u7b97\u3002<\/section>\n<section><\/section>\n<section>\u4e0b\u56fe\u5c55\u793a\u4e86\u6392\u5217\u7ec4\u5408\uff08S\u2085\uff09\u5728 Hint \u6a21\u5f0f\u548c CoT \u6a21\u5f0f\u4e24\u79cd\u4e0d\u540c\u6a21\u5f0f\u4e0b\u7684\u8868\u73b0\uff0c\u5176\u4e2d\u6a2a\u8f74\u8868\u793a\u8f93\u5165\u5e8f\u5217\u7684\u957f\u5ea6\uff0c\u7eb5\u8f74\u8868\u793a\u6a21\u578b\u7684\u5c42\u6570\uff0c\u989c\u8272\u4ee3\u8868\u51c6\u786e\u7387\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/09\/frc-551d7703125901a21d44a2288d4dc878.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/09\/frc-551d7703125901a21d44a2288d4dc878.png\"><\/a><\/section>\n<section>\u5728 Hint \u6a21\u5f0f\u4e0b\uff0c\u5373\u4f7f Transformer \u6709 12 \u5c42\uff0c\u51c6\u786e\u7387\u4ecd\u7136\u975e\u5e38\u4f4e\uff0c\u57fa\u672c\u7ef4\u6301\u5728 20% \u5de6\u53f3\uff0c\u51e0\u4e4e\u662f\u5728 1-5 \u4e4b\u95f4\u968f\u673a\u731c\u6d4b\u7684\u6c34\u5e73\u3002\u53ea\u6709\u5f53\u8f93\u5165\u5e8f\u5217\u957f\u5ea6\u975e\u5e38\u77ed\uff08\u957f\u5ea6\u4e3a 3\uff09\u4e14\u5c42\u6570\u8f83\u591a\u65f6\uff0c\u51c6\u786e\u7387\u624d\u80fd\u6709\u6240\u63d0\u9ad8\uff0c\u4f46\u4ecd\u7136\u4e0d\u8d85\u8fc7 56%\u3002<\/section>\n<section><\/section>\n<section>\u5728 CoT \u6a21\u5f0f\u4e0b\uff0cTransformer \u8868\u73b0\u663e\u8457\u63d0\u9ad8\u3002\u65e0\u8bba\u5e8f\u5217\u957f\u5ea6\u591a\u957f\uff0c\u51c6\u786e\u7387\u90fd\u63a5\u8fd1 100%\u3002\u5f53\u5e8f\u5217\u957f\u5ea6\u589e\u52a0\u81f3 33 \u548c 36 \u65f6\uff0c\u5c42\u6570\u4e3a 1 \u7684\u6a21\u578b\u51c6\u786e\u7387\u6709\u6240\u4e0b\u964d\uff0c\u5206\u522b\u4e3a 54% \u548c 46%\uff0c\u4f46\u8fd9\u4ecd\u7136\u8fdc\u9ad8\u4e8e Hint \u6a21\u5f0f\u7684\u8868\u73b0\u3002<\/section>\n<section><\/section>\n<section><strong>\u8fed\u4ee3\u5e73\u65b9\uff08Iterated Squaring\uff09<\/strong><\/section>\n<section><\/section>\n<section>\u8fed\u4ee3\u5e73\u65b9\u95ee\u9898\u5728\u5bc6\u7801\u5b66\u4e2d\u88ab\u5e7f\u6cdb\u7528\u4e8e\u6784\u9020\u52a0\u5bc6\u7b97\u6cd5\u3002\u5b83\u4e4b\u6240\u4ee5\u91cd\u8981\uff0c\u662f\u56e0\u4e3a\u8be5\u95ee\u9898\u88ab\u8ba4\u4e3a\u8ba1\u7b97\u96be\u5ea6\u5f88\u9ad8\uff0c\u5373\u4f7f\u4f7f\u7528\u975e\u5e38\u5f3a\u5927\u7684\u5e76\u884c\u5904\u7406\u5668\uff0c\u4e5f\u65e0\u6cd5\u5728\u5408\u7406\u65f6\u95f4\u5185\u627e\u5230\u6709\u6548\u7684\u89e3\u51b3\u65b9\u6cd5\u3002\u5177\u4f53\u6765\u8bf4\uff0c\u7ed9\u5b9a\u4e09\u4e2a\u6574\u6570 r\u3001n\u3001p\uff0cTransformer\u00a0\u9700\u8981\u8ba1\u7b97 \uff1a<a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/09\/frc-aea80a7e832cffe1dd2a676a472af254.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/09\/frc-aea80a7e832cffe1dd2a676a472af254.png\"><\/a>\u3002<\/section>\n<section><\/section>\n<section>\u5982\u4e0b\u56fe\u6240\u793a\uff0c\u968f\u7740\u6a21\u578b\u5c42\u6570\u548c\u8f93\u5165\u957f\u5ea6\u7684\u589e\u52a0\uff0cHint \u6a21\u5f0f\u4e0b\uff0cTransformer \u7684\u8868\u73b0\u9010\u6e10\u53d8\u5dee\u3002\u5bf9\u4e8e\u8f83\u77ed\u7684\u8f93\u5165\u957f\u5ea6\uff08\u5982 6 \u548c 14\uff09\uff0c\u5373\u4f7f\u5c42\u6570\u8f83\u5c11\uff0cTransformer \u4ecd\u7136\u80fd\u4fdd\u6301\u76f8\u5bf9\u8f83\u9ad8\u7684\u51c6\u786e\u7387\uff08\u5206\u522b\u4e3a 94% \u548c 89%\uff09\uff0c\u4f46\u5f53\u8f93\u5165\u957f\u5ea6\u589e\u52a0\u5230 30 \u6216\u66f4\u957f\u65f6\uff0c\u51c6\u786e\u7387\u663e\u8457\u4e0b\u964d\uff0c\u5c24\u5176\u662f\u6a21\u578b\u5c42\u6570\u8f83\u5c11\u65f6\u3002<\/section>\n<section><\/section>\n<section>\u800c\u5728 CoT \u6a21\u5f0f\u4e0b\uff0c\u65e0\u8bba\u5e8f\u5217\u957f\u5ea6\u548c\u6a21\u578b\u5c42\u6570\u5982\u4f55\uff0cTransformer \u7684\u8868\u73b0\u90fd\u4fdd\u6301\u4e86 100% \u7684\u51c6\u786e\u7387\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/09\/frc-0b40bf892ea794e223f06114edc7be2f.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/09\/frc-0b40bf892ea794e223f06114edc7be2f.png\"><\/a><\/section>\n<section><strong>\u7535\u8def\u503c\u95ee\u9898\uff08Circuit Value Problem\uff09<\/strong><\/section>\n<section><\/section>\n<section>\u8981\u8ba1\u7b97\u7535\u8def\u503c\u95ee\u9898\uff0c\u6a21\u578b\u9700\u8981\u6839\u636e\u8f93\u5165\uff1a<a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/09\/frc-7a4f675fb955d85bf1e7a214831d2e1c.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/09\/frc-7a4f675fb955d85bf1e7a214831d2e1c.png\"><\/a>\uff0c\u8ba1\u7b97\u51fa\u7535\u8def\u6700\u540e\u7684\u903b\u8f91\u95e8 m \u7684\u503c\u3002<\/section>\n<section><\/section>\n<section>\u5982\u4e0b\u56fe\u6240\u793a\uff0c\u5728 Hint \u6a21\u5f0f\u4e0b\uff0c\u5728\u5e8f\u5217\u957f\u5ea6\u8f83\u77ed\u65f6\uff0c\u51c6\u786e\u7387\u8fd8\u80fd\u4fdd\u6301 100%\uff0c\u4f46\u5f53\u957f\u5ea6\u8f83\u957f\u65f6\uff0c\u51c6\u786e\u7387\u6709\u5927\u5e45\u4e0b\u964d\u3002\u4f7f\u7528 CoT \u540e\uff0c\u5373\u4f7f Transformer \u53ea\u6709 1 \u5c42\uff0c\u5c31\u80fd\u8fbe\u5230\u63a5\u8fd1 100% \u7684\u51c6\u786e\u7387\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/09\/frc-d695007f842a90f4209dc187a2119145.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/09\/frc-d695007f842a90f4209dc187a2119145.png\"><\/a><\/section>\n<section>\u66f4\u591a\u7814\u7a76\u7ec6\u8282\uff0c\u8bf7\u53c2\u8003\u539f\u8bba\u6587\u3002<\/section>\n<section><\/section>\n<section><strong>\u7406\u8bba\u5f88\u4e30\u6ee1\uff0c\u73b0\u5b9e\u5374\u5f88\u9aa8\u611f\uff1f<\/strong><\/section>\n<section><\/section>\n<section>CoT \u5bf9 Transformer \u7684\u589e\u76ca\u5982\u6b64\u5f3a\u5927\uff0c\u8fd9\u4ee4\u4eba\u4e0d\u7981\u8054\u60f3\uff1ao1 \u601d\u8003\u65f6\u95f4\u7684\u65f6\u95f4\u8d8a\u957f\uff0c\u51c6\u786e\u7387\u4e5f\u4f1a\u63d0\u5347\uff0c\u6216\u8bb8\u8fd9\u4e2a\u601d\u8def\u6b63\u4e0e o1 \u7684\u6838\u5fc3\u7406\u5ff5\u4e0d\u8c0b\u800c\u5408\uff1f<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/09\/frc-c87fd5357cfff64de646c2989a4848e5.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/09\/frc-c87fd5357cfff64de646c2989a4848e5.png\"><\/a><\/section>\n<section>\u770b\u5230\u80fd\u4e3a\u66f4\u5f3a\u5927\u7684 LLM \u63a8\u7406\u65b0\u8303\u5f0f\u7684\u66d9\u5149\u521d\u73b0\uff0c\u8bc4\u8bba\u533a\u4e00\u7247\u6cb8\u817e\uff0c\u7eb7\u7eb7\u9001\u4e0a\u795d\u8d3a\uff1a\u5982\u679c\u8fd9\u9879\u7814\u7a76\u662f\u771f\u7684\uff0c\u90a3\u4e48 AGI \u53ef\u80fd\u5f88\u8fd1\u4e86\u2026\u2026<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/09\/frc-614b330a0a1a24d79dd143433943a583.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/09\/frc-614b330a0a1a24d79dd143433943a583.png\"><\/a><\/section>\n<section>\u4e0e\u6b64\u540c\u65f6\uff0c\u8fd9\u7bc7\u8bba\u6587\u4e5f\u5f15\u53d1\u4e86\u4e0d\u5c11\u4e89\u8bae\u3002<\/section>\n<section><\/section>\n<section>\u6bd4\u5982\u6709\u7f51\u53cb\u63d0\u51fa\u8d28\u7591\uff0c\u300c\u6240\u6709\u95ee\u9898\u90fd\u89e3\u51b3\u4e86\uff0c\u90a3\u5927\u6a21\u578b\u4f1a\u51fa\u5e7b\u89c9\u7684\u95ee\u9898\u89e3\u51b3\u4e86\u5417\uff1f\u300d<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/09\/frc-edc5871b1bf13094dae56b70f131898a.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/09\/frc-edc5871b1bf13094dae56b70f131898a.png\"><\/a><\/section>\n<section>\u7f51\u53cb\u8fdb\u4e00\u6b65\u53d1\u96be\uff1a\u300c\u8fd9\u79cd\u65b9\u6cd5\u80fd\u7b97\u662f\u771f\u6b63\u57fa\u4e8e\u610f\u4e49\u7684\u63a8\u7406\u5417\uff1f\u56e0\u4e3a\u5b83\u6ca1\u6709\u8003\u8651\u4e2d\u95f4\u5c42\u4e5f\u53ef\u80fd\u4f1a\u4ea7\u751f\u5e7b\u89c9\u7684\u95ee\u9898\u3002\u8fd9\u611f\u89c9\u66f4\u50cf\u662f\u4ece\u4e00\u5806\u89e3\u51b3\u65b9\u6848\u53e0\u52a0\u5728\u4e00\u8d77\uff0c\u7136\u540e\u6311\u51fa\u91cd\u5408\u7684\u90e8\u5206\uff1f\u4e0d\u5c31\u662f\u5355\u7eaf\u589e\u52a0\u4e86\u6b63\u786e\u7684\u6982\u7387\u800c\u5df2\uff1f\u300d<\/section>\n<section><\/section>\n<section>\u6b64\u5916\uff0c\u8fd9\u53d1\u751f\u5728\u68c0\u7d22\u9636\u6bb5\uff0c\u800c\u975e\u5728\u8bad\u7ec3\u9636\u6bb5\uff0c\u4e5f\u5c31\u662f\u8bf4\u6a21\u578b\u8fd8\u662f\u4e0d\u80fd\u5b9e\u65f6\u5b66\u4e60\uff0c\u65e0\u6cd5\u968f\u7740\u8f93\u5165\u66f4\u591a\u6570\u636e\u4e0d\u65ad\u6539\u8fdb&#8230;&#8230;<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/09\/frc-96b0679b383aa0ee7b4a1a955dd4db68.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/09\/frc-96b0679b383aa0ee7b4a1a955dd4db68.png\"><\/a><\/section>\n<section>\u8fd8\u6709\u7f51\u53cb\u6307\u51fa\uff0c\u867d\u7136\u8bba\u6587\u4e2d\u901a\u8fc7\u300c\u6a21\u62df\u95e8\u7535\u8def\u8fd0\u7b97\u300d\u7b49\u5b9e\u9a8c\u4ece\u7406\u8bba\u4e0a\u8fdb\u884c\u4e86\u8bc1\u660e\uff0c\u4f46\u8fd9\u6837\u7684\u6a21\u62df\u65b9\u5f0f\u53ef\u80fd\u4e0d\u80fd\u5b8c\u5168\u53cd\u6620\u51fa\u5927\u6a21\u578b\u5728\u771f\u5b9e\u73af\u5883\u4e2d\u7684\u884c\u4e3a\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/09\/frc-f0ca51c1d678bd125864c31319443477.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/09\/frc-f0ca51c1d678bd125864c31319443477.png\"><\/a><\/section>\n<section>\u6bd4\u5982\u5bf9\u91cf\u5b50\u6a21\u62df\u3001\u533b\u5b66\u8bca\u65ad\u7b49\u9886\u57df\u53ef\u80fd\u5c31\u6ca1\u4ec0\u4e48\u8bf4\u670d\u529b\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/09\/frc-50991addf43c8cae71d7ddeef11a339c.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/09\/frc-50991addf43c8cae71d7ddeef11a339c.png\"><\/a><\/section>\n<section>\u66f4\u4ee4\u4eba\u62c5\u5fe7\u7684\u662f\uff0c\u8fd9\u79cd\u65b9\u6cd5\u5728\u73b0\u5b9e\u4e2d\u5f88\u96be\u5b9e\u73b0\uff0c\u56e0\u4e3a\u5b83\u9700\u8981\u6781\u5927\u7684\u8ba1\u7b97\u8d44\u6e90\u548c\u65f6\u95f4\uff0c\u800c\u8fd9\u4e9b\u90fd\u4f1a\u968f\u7740\u8f93\u5165\u89c4\u6a21\u5448\u6307\u6570\u7ea7\u589e\u957f\u3002<\/section>\n<section><\/section>\n<section>\u300c\u8981\u8fbe\u5230\u4eba\u7c7b\u7ea7\u522b\u7684\u667a\u80fd\uff0c\u66b4\u529b\u89e3\u6cd5\u53ef\u80fd\u9700\u8981\u4e3a\u6bcf\u4e2a\u95ee\u9898\u751f\u6210\u4e0a\u4ebf\u79cd\u89e3\u51b3\u65b9\u6848\u3002\u8fd9\u5c31\u662f\u4e3a\u4ec0\u4e48\u5355\u9760\u6269\u5c55\u8ba1\u7b97\u80fd\u529b\u884c\u4e0d\u901a\u3002\u4eba\u7c7b\u89e3\u51b3\u95ee\u9898\u65f6\u4e0d\u4f1a\u8003\u8651\u6210\u5343\u4e0a\u4e07\u79cd\u53ef\u80fd\u6027\uff0c\u800c\u662f\u51ed\u76f4\u89c9\u548c\u63a8\u7406\u8fc5\u901f\u7f29\u5c0f\u5230\u51e0\u4e2a\u53ef\u884c\u7684\u9009\u9879\u3002\u5982\u679c\u6211\u4eec\u60f3\u5b9e\u73b0 AGI\uff0cAI \u7cfb\u7edf\u4e5f\u9700\u8981\u6a21\u4eff\u8fd9\u79cd\u9ad8\u6548\u7684\u65b9\u5f0f\u3002\u300d<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/09\/frc-38afa5b1454a8056f3182a10d2d37369.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/09\/frc-38afa5b1454a8056f3182a10d2d37369.png\"><\/a><\/section>\n<section>\u6309\u8fd9\u4e2a\u601d\u8def\u60f3\u4e0b\u53bb\uff0c\u4e0d\u5c11\u7f51\u53cb\u7f13\u7f13\u5730\u6253\u51fa\u4e86\u4e00\u4e2a\u95ee\u53f7\uff1a\u8fd9\u4e0d\u5c31\u662f\u667a\u80fd\u65f6\u4ee3\u7684\u300c\u65e0\u9650\u7334\u5b50\u5b9a\u7406\u300d\u5417\uff1f\u8ba9\u4e00\u53ea\u7334\u5b50\u5728\u6253\u5b57\u673a\u4e0a\u968f\u673a\u5730\u6309\u952e\uff0c\u53ea\u8981\u7ed9\u5b83\u7684\u65f6\u95f4\u591f\u591a\uff0c\u5b83\u6700\u7ec8\u5fc5\u7136\u80fd\u6253\u51fa\u4efb\u4f55\u7ed9\u5b9a\u7684\u6587\u5b57\uff0c\u65e0\u8bba\u662f\u300a\u7ea2\u697c\u68a6\u300b\u8fd8\u662f\u300a\u838e\u58eb\u6bd4\u4e9a\u5168\u96c6\u300b\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/09\/frc-2d91389b29b127b281b0b42fe183c012.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/09\/frc-2d91389b29b127b281b0b42fe183c012.png\"><\/a><\/section>\n<section>Hacker News \u751a\u81f3\u5c31\u8fd9\u70b9\u8ba8\u8bba\u51fa\u4e86\u4e00\u5ea7\u9ad8\u697c\uff0c\u4f46\u5927\u591a\u6570\u4eba\u8fd8\u662f\u89c9\u5f97\uff0c\u65e2\u7136 ICLR 2024 \u90fd\u63a5\u6536\u4e86\u8fd9\u7bc7\u8bba\u6587\uff0c\u90a3\u5e94\u8be5\u6ca1\u6709\u95ee\u9898\u5427\uff1f<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/09\/frc-6bfe9c00d5561a2f5a1cb6e7c0994071.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/09\/frc-6bfe9c00d5561a2f5a1cb6e7c0994071.png\"><\/a><\/section>\n<section>\u968f\u7740\u8bba\u6587\u70ed\u5ea6\u7684\u4e0d\u65ad\u6500\u5347\uff0c\u7530\u6e0a\u680b\u548c LeCun \u7b49\u4e1a\u5185\u5927\u4f6c\u4e5f\u4eb2\u81ea\u4e0b\u573a\u53d1\u95ee\uff1a\u300cCoT\uff0c\u771f\u7684\u6709\u8fd9\u4e48\u795e\u5947\u5417\uff1f\u300d<\/section>\n<section><\/section>\n<section>\u7530\u6e0a\u680b\u6307\u51fa\uff0cDenny Zhou \u7b49\u4eba\u63d0\u51fa\u4e86\u4e00\u79cd\u7406\u8bba\u4e0a\u7684\u5047\u8bbe\uff0c\u5b9e\u9645\u64cd\u4f5c\u4e2d\u53ef\u80fd\u8fdc\u6ca1\u6709\u90a3\u4e48\u7b80\u5355\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/09\/frc-dd22f9e7714c1362087d986ff4f21943.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/09\/frc-dd22f9e7714c1362087d986ff4f21943.png\"><\/a><\/section>\n<blockquote data-author-name=\"\" data-content-utf8-length=\"137\" data-source-title=\"\" data-type=\"2\" data-url=\"\">\n<section>\n<p>\u5c3d\u7ba1 CoT \u975e\u5e38\u6709\u7528\uff0c\u4f46\u6211\u5e76\u4e0d\u5b8c\u5168\u540c\u610f\u4ec5\u9760\u76f2\u76ee\u6269\u5c55\u5b83\u5c31\u80fd\u89e3\u51b3\u6240\u6709\u95ee\u9898\u3002\u8bba\u6587\u4e2d\u63d0\u51fa\u4e86\u4e00\u79cd\u901a\u7528\u7406\u8bba \u2014\u2014 \u6211\u4eec\u53ef\u4ee5\u663e\u5f0f\u5730\u6784\u5efa Transformer \u7684\u6743\u91cd\uff0c\u4f7f\u5176\u66f4\u597d\u5730\u9002\u5e94\u7279\u5b9a\u4efb\u52a1\u3002\u867d\u7136\u6a21\u578b\u7684\u6df1\u5ea6\u53ef\u4ee5\u4fdd\u6301\u5e38\u6570\uff0c\u4f46 CoT \u7684\u957f\u5ea6\u53ef\u80fd\u4f1a\u975e\u5e38\u957f\uff0c\u800c\u8fd9\u79cd\u6743\u91cd\u80fd\u5426\u901a\u8fc7\u68af\u5ea6\u4e0b\u964d\u7b97\u6cd5\u5b66\u5230\uff0c\u4ecd\u662f\u672a\u77e5\u6570\u3002<\/p>\n<\/section>\n<\/blockquote>\n<section><\/section>\n<section>\u4ed6\u7528\u4e86\u4e00\u4e2a\u5f62\u8c61\u7684\u6bd4\u55bb\u6765\u8bf4\u660e\u8fd9\u4e2a\u95ee\u9898\uff1a\u8fd9\u6709\u70b9\u50cf<strong>\u300c\u5728\u7406\u8bba\u4e0a\uff0c\u4e24\u5c42\u795e\u7ecf\u7f51\u7edc\u5728\u7406\u8bba\u4e0a\u53ef\u4ee5\u62df\u5408\u4efb\u4f55\u6570\u636e\uff0c\u6211\u4eec\u5c31\u76f2\u76ee\u76f8\u4fe1\u5e76\u5e94\u7528\u5728\u6240\u6709\u573a\u666f\u4e2d\u300d<\/strong>\u3002<\/section>\n<section><\/section>\n<section>\u76f8\u6bd4\u4e4b\u4e0b\uff0c\u4eba\u7c7b\u7684\u63a8\u7406\u94fe\u975e\u5e38\u7b80\u6d01\uff0c\u5373\u4f7f\u9762\u5bf9\u4ece\u672a\u89c1\u8fc7\u7684\u95ee\u9898\uff0c\u4e5f\u80fd\u8fc5\u901f\u6293\u4f4f\u89e3\u51b3\u95ee\u9898\u7684\u5173\u952e\u3002\u7530\u6e0a\u680b\u8ba4\u4e3a\uff0c\u5982\u4f55\u5b66\u4e60\u6216\u6784\u5efa\u51fa\u8fd9\u6837\u7684\u8868\u793a\uff0c\u662f\u4e00\u4e2a\u4ee4\u4eba\u7740\u8ff7\u7684\u8bfe\u9898\u3002<\/section>\n<section><\/section>\n<section>\u770b\u5230\u5b66\u751f\u7684\u8bc4\u8bba\uff0cYann LeCun \u4e5f\u53d1\u6765\u4e86\u58f0\u63f4\uff1a\u300c\u6211\u672c\u6765\u60f3\u8bf4\u8fd9\u4e2a\u7684\uff0c\u4f46\u88ab\u6e0a\u680b\u62a2\u5148\u4e86\u3002\u300d<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/09\/frc-67a7efc174afe8cccc1d4ae54755298f.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/09\/frc-67a7efc174afe8cccc1d4ae54755298f.png\"><\/a><\/section>\n<section>\u4f5c\u4e3a\u300c\u6df1\u5ea6\u5b66\u4e60\u4e09\u5de8\u5934\u300d\u4e4b\u4e00\uff0cLeCun \u8868\u793a\uff1a\u300c\u4e24\u5c42\u7f51\u7edc\u548c\u6838\u673a\u5668\uff08kernel machines\uff09\u53ef\u4ee5\u65e0\u9650\u903c\u8fd1\u4efb\u4f55\u51fd\u6570\uff0c\u56e0\u6b64\u6211\u4eec\u4e0d\u9700\u8981\u6df1\u5ea6\u5b66\u4e60\u3002\u4f60\u53ef\u80fd\u4e0d\u6562\u76f8\u4fe1\uff0c\u4ece 1995 \u5e74\u5230 2020 \u5e74\uff0c\u6211\u542c\u8fc7\u591a\u5c11\u6b21\u8fd9\u79cd\u8bba\u70b9\uff01\u300d<\/section>\n<section><\/section>\n<section>LeCun \u8fdb\u4e00\u6b65\u89e3\u91ca\u9053\uff1a\u300c\u7406\u8bba\u4e0a\u662f\u53ef\u884c\u7684\uff0c\u4f46\u95ee\u9898\u5728\u4e8e\uff0c\u5b9e\u9645\u5e94\u7528\u4e2d\uff0c\u5982\u679c\u53ea\u4f7f\u7528\u4e24\u5c42\u7f51\u7edc\uff0c\u7b2c\u4e00\u5c42\u7684\u795e\u7ecf\u5143\u6570\u91cf\u53ef\u80fd\u4f1a\u591a\u5230\u4e0d\u53ef\u64cd\u4f5c\u3002\u300d<\/section>\n<section><\/section>\n<section>\u9488\u5bf9\u300c\u4e24\u5c42MLP\u300d\u8fd9\u4e2a\u6bd4\u55bb\u4e2d\u7684\u95ee\u9898\uff0c\u4e13\u6ce8\u4e8e\u751f\u7269\u5b66\u9886\u57df\u7684 AI \u7814\u7a76\u5b9e\u9a8c\u5ba4 EvolutionaryScale \u7684\u8054\u5408\u521b\u59cb\u4eba Zeming Lin \u63d0\u51fa\u4e86\u81ea\u5df1\u7684\u60f3\u6cd5\uff1a<\/section>\n<section><\/section>\n<section>\u300c\u6211\u8ba4\u4e3a\u6211\u4eec\u9700\u8981\u4e3a\u673a\u5668\u5b66\u4e60\u6a21\u578b\u6784\u5efa\u7c7b\u4f3c\u4e54\u59c6\u65af\u57fa\u5c42\u6b21\u7ed3\u6784\u7684\u6846\u67b6\u3002\u6bd4\u5982\uff0c\u662f\u5426\u5b58\u5728\u9002\u7528\u4e8e\u673a\u5668\u5b66\u4e60\u6a21\u578b\u7684 NP\u3001P\u3001O (n^2) \u7b49\u6982\u5ff5\uff0c\u5e76\u660e\u786e Transformer \u6216 Mamba \u5728\u8fd9\u4e2a\u5c42\u6b21\u7ed3\u6784\u4e2d\u5c5e\u4e8e\u54ea\u4e00\u7c7b\u3002\u300d<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/09\/frc-61030a25426cdeeea8e4633817e19d56.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/09\/frc-61030a25426cdeeea8e4633817e19d56.png\"><\/a><\/section>\n<section>\u7530\u6e0a\u680b\u8868\u793a\u652f\u6301\uff1a\u300c\u56e0\u4e3a\u6d89\u53ca\u4e0d\u540c\u7684\u6570\u636e\u5206\u5e03\u3001\u6a21\u578b\u67b6\u6784\u3001\u5b66\u4e60\u7b97\u6cd5\u3001\u540e\u5904\u7406\u7b49\u7b49\uff0c\u95ee\u9898\u8fdc\u6bd4\u60f3\u8c61\u7684\u8981\u590d\u6742\u5f97\u591a\u3002\u300d<\/section>\n<section><\/section>\n<section>\u867d\u7136\u7530\u6e0a\u680b\u53ef\u80fd\u5e76\u4e0d\u5b8c\u5168\u8ba4\u540c\u8fd9\u7bc7\u8bba\u6587\u7684\u601d\u8def\uff0c\u4f46\u4ed6\u5e76\u6ca1\u6709\u5426\u5b9a\u7ee7\u7eed\u5c1d\u8bd5\u7684\u5fc5\u8981\u6027\u3002<\/section>\n<section><\/section>\n<section>\u800c\u8fd9\u7bc7\u53ef\u80fd\u8bc1\u660e\u4e86 CoT \u80fd\u8d4b\u4e88\u57fa\u4e8e Transformer \u67b6\u6784\u7684 LLM 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