{"id":37185,"date":"2025-01-24T03:00:22","date_gmt":"2025-01-23T19:00:22","guid":{"rendered":"https:\/\/17aitech.com\/?p=37185"},"modified":"2025-01-24T03:00:22","modified_gmt":"2025-01-23T19:00:22","slug":"%e6%95%b0%e5%ad%97%e6%af%94%e4%bd%a0%e6%83%b3%e5%be%97%e6%9b%b4%e5%a4%8d%e6%9d%82-%e4%b8%80%e6%96%87%e5%b8%a6%e4%bd%a0%e4%ba%86%e8%a7%a3%e5%a4%a7%e6%a8%a1%e5%9e%8b%e6%95%b0%e5%ad%97","status":"publish","type":"post","link":"https:\/\/17aitech.com\/?p=37185","title":{"rendered":"\u6570\u5b57\u6bd4\u4f60\u60f3\u5f97\u66f4\u590d\u6742\u2014\u2014\u4e00\u6587\u5e26\u4f60\u4e86\u89e3\u5927\u6a21\u578b\u6570\u5b57\u5904\u7406\u80fd\u529b\u7684\u65b9\u65b9\u9762\u9762"},"content":{"rendered":"<p>\u6587\u7ae0\u6765\u6e90\u4e8e\u4e92\u8054\u7f51:<a href=\"https:\/\/www.jiqizhixin.com\/articles\/2024-12-11-6\" target=\"_blank\">\u6570\u5b57\u6bd4\u4f60\u60f3\u5f97\u66f4\u590d\u6742\u2014\u2014\u4e00\u6587\u5e26\u4f60\u4e86\u89e3\u5927\u6a21\u578b\u6570\u5b57\u5904\u7406\u80fd\u529b\u7684\u65b9\u65b9\u9762\u9762<\/a><\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/12\/frc-a776fda82812e49f07d21916febb0505.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/12\/frc-a776fda82812e49f07d21916febb0505.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>\u76ee\u524d\u5927\u8bed\u8a00\u6a21\u578b\uff08Large Language Models, LLMs\uff09\u7684\u63a8\u7406\u80fd\u529b\u5907\u53d7\u5173\u6ce8\u3002\u4ece\u601d\u7ef4\u94fe\uff08Chain of Thought\uff0cCoT\uff09\u6280\u672f\u63d0\u51fa\uff0c\u5230\u4ee5 o1 \u4e3a\u4ee3\u8868\u7684\u957f\u601d\u8003\u6a21\u578b\u53d1\u5e03\uff0c\u5927\u6a21\u578b\u6b63\u5728\u5c55\u73b0\u51fa\u63a5\u8fd1\u4eba\u7c7b\u751a\u81f3\u9886\u57df\u4e13\u5bb6\u7684\u6c34\u5e73\uff0c\u5176\u4e2d\u6570\u5b66\u63a8\u7406\u662f\u4e00\u4e2a\u5178\u578b\u4efb\u52a1\u3002<\/p>\n<p>\u7136\u800c\uff0c\u4e0e\u5927\u6a21\u578b\u80fd\u591f\u7406\u89e3\u548c\u6c42\u89e3\u5404\u79cd\u590d\u6742\u6570\u5b66\u95ee\u9898\u76f8\u5bf9\u7684\uff0c\u662f\u5176\u7fb8\u5f31\u7684\u6570\u5b57\u5904\u7406\u80fd\u529b\u3002\u5c3d\u7ba1\u5927\u6a21\u578b\u80fd\u591f\u63d0\u51fa\u770b\u4f3c\u5408\u7406\u7684\u89e3\u51b3\u65b9\u6848\uff0c\u4f46\u5728\u5b9e\u9645\u8fd0\u7b97\u4e4b\u4e2d\uff0c\u5374\u5e38\u5e38\u96be\u4ee5\u5728\u4e0d\u501f\u52a9\u5de5\u5177\u7684\u60c5\u51b5\u4e0b\u8ba1\u7b97\u51fa\u51c6\u786e\u7684\u6570\u503c\u7ed3\u679c\u3002\u6b64\u524d\u5f15\u53d1\u5e7f\u6cdb\u8ba8\u8bba\u7684 \u201c9.11&gt;9.9\u201d \u5c31\u662f\u5178\u578b\u4f8b\u5b50\u3002\u8fd9\u79cd \u201c\u4e8b\u5b9e\u5e7b\u89c9\u201d \u5df2\u7ecf\u6210\u4e3a\u5236\u7ea6\u5927\u6a21\u578b\u5b9e\u9645\u5e94\u7528\u7684\u4e00\u4e2a\u91cd\u5927\u969c\u788d\u3002<\/p>\n<p>\u8fc7\u53bb\u7684\u7814\u7a76\u5de5\u4f5c\u5f88\u5c11\u5c06 \u201c\u6570\u5b57\u7406\u89e3\u548c\u5904\u7406\u80fd\u529b\u201d\uff08Number Understanding and Processing\uff0cNUPA\uff09\u4f5c\u4e3a\u72ec\u7acb\u4efb\u52a1\u8fdb\u884c\u7814\u7a76\u3002\u4ee5\u5f80\u7684\u7814\u7a76\u66f4\u591a\u805a\u7126\u4e8e\u6570\u5b66\u63a8\u7406\uff0c\u6d89\u53ca\u6570\u5b66\u5de5\u5177\u548c\u5b9a\u7406\u5e94\u7528\uff0c\u4f8b\u5982 GSM8K\u3002\u5bf9\u4e8e\u6570\u5b57\u672c\u8eab\u7684\u57fa\u7840\u7406\u89e3\u548c\u5904\u7406\uff0c\u5982\u56db\u5219\u8fd0\u7b97\u3001\u6bd4\u8f83\u5927\u5c0f\u3001\u6570\u4f4d\u63d0\u53d6\u7b49\uff0c\u9c9c\u6709\u7814\u7a76\u5c06\u5176\u5355\u72ec\u8861\u91cf\u3002\u540c\u65f6\uff0c\u5728\u73b0\u6709\u7684\u6570\u5b66\u6570\u636e\u96c6\u4e2d\uff0c\u6570\u5b57\u76f8\u5173\u7684\u90e8\u5206\u5f80\u5f80\u88ab\u7b80\u5316\u5904\u7406\u3002\u8bb8\u591a\u6570\u636e\u96c6\u4e2d\u7684\u6570\u5b57\u901a\u5e38\u4ec5\u9650\u4e8e\u7b80\u5355\u7684\u6574\u6570\u548c\u5c0f\u6570\uff0c\u800c\u8f83\u957f\u7684\u6574\u6570\u3001\u5c0f\u6570\u548c\u5206\u6570\u7b49\u8f83\u590d\u6742\u7684\u6570\u5b57\u5f62\u5f0f\u5f80\u5f80\u88ab\u5ffd\u89c6\uff0c\u8fd9\u4e0e\u73b0\u5b9e\u4e2d\u590d\u6742\u591a\u53d8\u7684\u5e94\u7528\u573a\u666f\u5b58\u5728\u8f83\u5927\u5dee\u8ddd\u3002\u5b9e\u9645\u5e94\u7528\u4e2d\uff0c\u82e5\u9047\u5230\u6d89\u53ca\u66f4\u590d\u6742\u4efb\u52a1\u7684\u60c5\u51b5\uff0c\u5982\u91d1\u878d\u3001\u7269\u7406\u7b49\u9886\u57df\u7684\u5e94\u7528\uff0c\u8fd9\u79cd\u7b80\u5316\u540e\u7684\u6570\u5b57\u80fd\u529b\u53ef\u80fd\u65e0\u6cd5\u6709\u6548\u5e94\u5bf9\u3002<\/p>\n<p>\u5c3d\u7ba1\u5927\u6a21\u578b\u53ef\u4ee5\u901a\u8fc7\u8c03\u7528\u5916\u90e8\u8ba1\u7b97\u5668\u4e00\u5b9a\u7a0b\u5ea6\u4e0a\u5f25\u8865\u6570\u5b57\u5904\u7406\u80fd\u529b\u7684\u4e0d\u8db3\uff0c\u8fd9\u4e2a\u95ee\u9898\u672c\u8eab\u4ecd\u7136\u503c\u5f97\u6df1\u5165\u63a2\u8ba8\u3002\u9996\u5148\uff0c\u8003\u8651\u5230\u6570\u5b57\u5904\u7406\u4f5c\u4e3a\u5404\u79cd\u590d\u6742\u63a8\u7406\u7684\u57fa\u7840\uff0c\u5728\u6d89\u53ca\u9ad8\u9891\u6570\u5b57\u5904\u7406\u7684\u60c5\u51b5\u4e0b\u9891\u7e41\u8c03\u7528\u5916\u90e8\u5de5\u5177\u4f1a\u663e\u8457\u51cf\u6162\u6a21\u578b\u54cd\u5e94\uff0c\u6a21\u578b\u5e94\u5f53\u5177\u5907\u81ea\u6211\u89e3\u51b3\u8f83\u4e3a\u7b80\u5355\u95ee\u9898\u7684\u80fd\u529b\uff08\u5982\u5224\u65ad 9.11 &lt; 9.9\uff09\u3002\u66f4\u91cd\u8981\u7684\u662f\uff0c\u4ece\u53d1\u5c55\u901a\u7528\u4eba\u5de5\u667a\u80fd\u7684\u89d2\u5ea6\u51fa\u53d1\uff0c\u5982\u679c\u6a21\u578b\u4e0d\u5177\u5907\u6700\u57fa\u7840\u7684\u6570\u5b57\u7406\u89e3\u80fd\u529b\u800c\u53ea\u80fd\u4f9d\u8d56\u8ba1\u7b97\u5668\uff0c\u90a3\u4e48\u4e0d\u53ef\u80fd\u6307\u671b\u5176\u771f\u6b63\u638c\u63e1\u590d\u6742\u63a8\u7406\u3001\u5e2e\u52a9\u4eba\u7c7b\u53d1\u73b0\u65b0\u5b9a\u7406\u6216\u53d1\u660e\u65b0\u5de5\u5177\uff0c\u8fbe\u5230\u4eba\u7c7b\u7ea7\u522b\u7684\u901a\u7528\u667a\u80fd\u66f4\u662f\u65e0\u4ece\u8c08\u8d77\u3002\u8fd9\u662f\u56e0\u4e3a\uff0c\u4eba\u7c7b\u6b63\u662f\u5728\u5145\u5206\u7406\u89e3\u3001\u638c\u63e1\u6570\u5b57\u548c\u8fd0\u7b97\u7684\u57fa\u7840\u4e0a\u624d\u53d1\u660e\u7684\u8ba1\u7b97\u5668\u3002<\/p>\n<p>\u8fd1\u65e5\uff0c\u5317\u4eac\u5927\u5b66\u5f20\u7267\u6db5\u56e2\u961f\u5728\u6295\u7a3f\u81f3 ICLR-2025 \u7684\u8bba\u6587\u4e2d\uff0c\u5173\u6ce8\u4e86\u8fd9\u4e00\u95ee\u9898\u3002\u4f5c\u8005\u5c06\u6570\u5b57\u7406\u89e3\u548c\u5904\u7406\u80fd\u529b\uff08number understanding and processing ability, NUPA\uff09\u4ece\u6570\u5b66\u6216\u5e38\u8bc6\u63a8\u7406\u80fd\u529b\u7b49\u4efb\u52a1\u4e2d\u5206\u79bb\u51fa\u6765\uff0c\u5355\u72ec\u8861\u91cf\u5927\u6a21\u578b\u7684\u6570\u5b57\u80fd\u529b\u3002\u57fa\u4e8e\u4e2d\u5c0f\u5b66\u6570\u5b66\u8bfe\u672c\u8303\u56f4\uff0c\u4f5c\u8005\u63d0\u51fa\u4e86\u4e00\u4e2a\u6d89\u53ca\u56db\u79cd\u6570\u5b57\u8868\u5f0f\uff08\u6574\u6570\u3001\u6d6e\u70b9\u6570\u3001\u5206\u6570\u3001\u79d1\u5b66\u8ba1\u6570\u6cd5\uff09\u548c\u56db\u4e2a\u80fd\u529b\u8303\u7574\u4e0b\u7684 17 \u4e2a\u4efb\u52a1\u7c7b\u578b\uff0c\u5171\u8ba1 41 \u4e2a\u6570\u5b57\u7406\u89e3\u548c\u5904\u7406\u4efb\u52a1\u7684\u57fa\u51c6\u96c6 NUPA\uff08\u56fe 1\uff09\u3002\u8fd9\u4e9b\u4efb\u52a1\u57fa\u672c\u8986\u76d6\u4e86\u65e5\u5e38\u751f\u6d3b\u4e2d\u5e38\u7528\u7684\u6570\u5b66\u77e5\u8bc6\uff08\u5982\u8ba1\u7b97\u3001\u5927\u5c0f\u6bd4\u8f83\u3001\u5355\u4f4d\u8f6c\u6362\u3001\u4f4d\u64cd\u4f5c\u7b49\uff09\uff0c\u4ea6\u662f\u652f\u6491 AGI \u7684\u5fc5\u8981\u80fd\u529b\u4e4b\u4e00\u3002<\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/12\/frc-9a4167aa57d15b5e621e7a78f655adc4.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/12\/frc-9a4167aa57d15b5e621e7a78f655adc4.png\"><\/a><\/p>\n<ul>\n<li>\n<p>\u8bba\u6587\u6807\u9898\uff1aNumber Cookbook: Number Understanding of Language Models and How to Improve It<\/p>\n<\/li>\n<li>\n<p>\u8bba\u6587\u5730\u5740\uff1ahttps:\/\/arxiv.org\/abs\/2411.03766<\/p>\n<\/li>\n<li>\n<p>\u9879\u76ee\u4e3b\u9875\uff1ahttps:\/\/github.com\/GraphPKU\/number_cookbook<\/p>\n<\/li>\n<\/ul>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/12\/frc-5543e64643b54ba7349e5dd9edbe1fd6.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/12\/frc-5543e64643b54ba7349e5dd9edbe1fd6.png\"><\/a><em><sup>\u00a0\u56fe 1\uff1aNUPA benchmark \u7684 41 \u4e2a\u4efb\u52a1\uff1b\u5176\u4e2d\u221a\u8868\u793a\u5305\u62ec\u7684\u4efb\u52a1\uff1b\u2014, O, X \u5206\u522b\u8868\u793a\u56e0\u4e0d\u9002\u7528\u3001\u53ef\u7531\u5176\u5b83\u4efb\u52a1\u7ec4\u5408\u5f97\u5230\u3001\u4ee5\u53ca\u56e0\u8fc7\u4e8e\u590d\u6742\u800c\u4e0d\u5b9e\u9645\uff0c\u800c\u88ab\u6392\u9664\u7684\u4efb\u52a1\u3002<\/sup><\/em><\/p>\n<p><strong>\u73b0\u6709\u5927\u6a21\u578b\u6027\u80fd\u6d4b\u8bd5<\/strong><\/p>\n<p>\u4f5c\u8005\u9996\u5148\u5728\u4e0d\u501f\u52a9\u989d\u5916\u5de5\u5177\u548c\u601d\u7ef4\u94fe\u5e2e\u52a9\u7684\u60c5\u51b5\u4e0b\uff0c\u6d4b\u8bd5\u4e86\u6a21\u578b\u5728\u4e0d\u540c\u96be\u5ea6\uff08\u6570\u5b57\u957f\u5ea6\uff09\u4e0b\u7684\u8868\u73b0\u3002\u90e8\u5206\u7ed3\u679c\u5982\u56fe 2 \u6240\u793a\uff0c\u51c6\u786e\u7387\u6839\u636e\u751f\u6210\u7684\u6570\u5b57\u4e0e\u57fa\u51c6\u7b54\u6848\u7684\u4e25\u683c\u4e00\u81f4\u6765\u8bc4\u4f30\u3002\u6d4b\u8bd5\u6db5\u76d6\u4e86\u591a\u79cd\u5e38\u89c1\u7684\u5927\u6a21\u578b\uff0c\u5305\u62ec GPT-4o\u3001Llama-3.1\u3001Qwen\uff08\u5343\u95ee\uff09-2\u3001Llama-2\u3001Mixtral\u3002\u6d4b\u8bd5\u7ed3\u679c\u663e\u793a\uff0c\u6700\u65b0\u7684\u5927\u6a21\u578b\u5728\u5e38\u89c1\u7684\u6570\u5b57\u8868\u793a\u3001\u4efb\u52a1\u548c\u957f\u5ea6\u8303\u56f4\u8868\u73b0\u826f\u597d\u3002\u5982\u56fe 2 \u6240\u793a\uff0c\u5728\u6574\u6570\u52a0\u6cd5\u8fd9\u4e00\u5178\u578b\u4efb\u52a1\u4e0a\uff0c\u4ee5\u53ca\u8f83\u77ed\u6570\u5b57\u957f\u5ea6\uff081-4 \u4f4d\uff09\u60c5\u51b5\u4e0b\uff0c\u5404\u6a21\u578b\u7684\u51c6\u786e\u7387\u5747\u8d85\u8fc7 90%\uff0c\u5176\u4e2d\uff0cGPT-4o\u3001Qwen2-72B \u7b49\u6a21\u578b\u751a\u81f3\u8fbe\u5230\u4e86\u63a5\u8fd1 100% \u7684\u51c6\u786e\u7387\u3002\u5728\u6d6e\u70b9\u6570\u52a0\u6cd5\u3001\u6574\u6570\u5927\u5c0f\u6bd4\u8f83\u3001\u6574\u6570\u957f\u5ea6\u5224\u65ad\u7b49\u4efb\u52a1\u4e0a\uff0c\u5404\u6a21\u578b\u4e5f\u666e\u904d\u5c55\u73b0\u51fa\u8d85\u8fc7 90% \u7684\u51c6\u786e\u7387\u3002<\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/12\/frc-8c6a249fb07fb4a7ca1df832d9c2fe2a.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/12\/frc-8c6a249fb07fb4a7ca1df832d9c2fe2a.png\"><\/a><\/p>\n<p><em><sup>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0\u56fe 2\uff1a\u5728\u7ecf\u5178\u4efb\u52a1\u548c\u8f83\u77ed\u6570\u5b57\u8303\u56f4\u5185\u4e0a\u6a21\u578b\u6027\u80fd\u666e\u904d\u8f83\u597d\uff0c\u5176\u4e2d\u52a0\u6cd5\u4efb\u52a1\u4e3a 1-4 \u4f4d\uff0c\u5176\u4f59\u4efb\u52a1\u4e3a 1-10 \u4f4d\u7684\u7ed3\u679c\u3002<\/sup><\/em><\/p>\n<p>\u7136\u800c\uff0c\u6d89\u53ca\u7a0d\u5fae\u590d\u6742\u6216\u8005\u4e0d\u5e38\u89c1\u7684\u6570\u5b57\u8868\u793a\u6216\u4efb\u52a1\u65f6\uff0c\u6a21\u578b\u7684\u6027\u80fd\u660e\u663e\u4e0b\u964d\u3002\u56fe 3 \u8fdb\u4e00\u6b65\u5c55\u793a\u4e86\u90e8\u5206\u4efb\u52a1\u4e0a\u7684\u51c6\u786e\u7387\uff0cS\u3001M\u3001L\u3001XL \u5206\u522b\u5bf9\u5e94\u4ece\u77ed\u5230\u957f\u4e0d\u540c\u7684\u6570\u5b57\u957f\u5ea6\u8303\u56f4\uff08\u6240\u793a\u4efb\u52a1\u5206\u522b\u5bf9\u5e94 1-4 \u4f4d\u30015-8 \u4f4d\u30019-14 \u4f4d\u300115-20 \u4f4d\uff09\u3002\u5c3d\u7ba1\u5927\u90e8\u5206\u6a21\u578b\u5728\u8f83\u77ed\u7684\u6570\u4f4d\u8303\u56f4\u5185\u80fd\u591f\u8f83\u597d\u5730\u89e3\u51b3\u6574\u6570\u548c\u6d6e\u70b9\u6570\u7684\u52a0\u6cd5\u95ee\u9898\uff0c\u4f46\u5728\u5206\u6570\u548c\u79d1\u5b66\u8ba1\u6570\u6cd5\u7684\u52a0\u6cd5\u4e0a\uff0c\u6a21\u578b\u7684\u8868\u73b0\u5f88\u5dee\uff0c\u51c6\u786e\u7387\u666e\u904d\u4f4e\u4e8e 20%\u3002\u6b64\u5916\uff0c\u5f53\u4efb\u52a1\u6d89\u53ca\u4e58\u9664\u8fd0\u7b97\u3001\u53d6\u6a21\u8fd0\u7b97\u7b49\u7a0d\u5fae\u590d\u6742\u7684\u8fd0\u7b97\u65f6\uff0c\u5373\u4f7f\u662f\u5728\u8f83\u77ed\u7684\u957f\u5ea6\u8303\u56f4\u5185\uff0c\u5927\u6a21\u578b\u4e5f\u96be\u4ee5\u6709\u6548\u89e3\u51b3\u95ee\u9898\u3002<\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/12\/frc-e53790575f8bc8c3ddd03a6f1f83da26.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/12\/frc-e53790575f8bc8c3ddd03a6f1f83da26.png\"><\/a><\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/12\/frc-c414afb60e81e8dc4d7767cf8b24d7b0.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/12\/frc-c414afb60e81e8dc4d7767cf8b24d7b0.png\"><\/a><\/p>\n<p><em><sup>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u56fe 3\uff1a\u90e8\u5206\u4efb\u52a1\u7684\u7ed3\u679c\u663e\u793a\uff0c\u5927\u6a21\u578b\u5728\u5904\u7406\u5c11\u89c1\u4efb\u52a1\u548c\u957f\u6570\u5b57\u65f6\u5b58\u5728\u56f0\u96be\u3002<\/sup><\/em><\/p>\n<p>\u540c\u65f6\uff0c\u6570\u5b57\u957f\u5ea6\u4ecd\u7136\u662f\u5927\u6a21\u578b\u5c1a\u672a\u89e3\u51b3\u7684\u96be\u9898\uff0c\u4ece\u56fe 3 \u4e2d\u53ef\u4ee5\u770b\u51fa\uff0c\u968f\u7740\u6570\u5b57\u957f\u5ea6\u7684\u589e\u52a0\uff0c\u6a21\u578b\u6027\u80fd\u660e\u663e\u4e0b\u964d\u3002\u4ee5\u6574\u6570\u52a0\u6cd5\u4e3a\u4f8b\uff0c\u5f53\u8f93\u5165\u6570\u5b57\u957f\u5ea6\u8fbe\u5230 9-14 \u4f4d\uff08\u5373\u56fe\u4e2d L \u8303\u56f4\uff09\u65f6\uff0c\u9664 GPT-4o \u548c Qwen2-72B \u7684\u51c6\u786e\u7387\u7ef4\u6301\u5728\u7ea6 40% \u5916\uff0c\u5176\u4f59\u6a21\u578b\u7684\u51c6\u786e\u7387\u4ec5\u7ea6\u4e3a 10%\uff1b\u800c\u5f53\u6d89\u53ca 15-20 \u4f4d\u6574\u6570\u7684\u52a0\u6cd5\uff08\u56fe\u4e2d XL \u8303\u56f4\uff09\u65f6\uff0cGPT-4o \u548c Qwen2-72B \u7684\u6027\u80fd\u8fdb\u4e00\u6b65\u4e0b\u964d\u81f3\u7ea6 15%\uff0c\u5176\u4f59\u6a21\u578b\u51e0\u4e4e\u65e0\u6cd5\u7ed9\u51fa\u6b63\u786e\u7b54\u6848\u3002<\/p>\n<p>\u6b64\u5916\uff0c\u8fd9\u4e00\u6d4b\u8bd5\u8fd8\u53d1\u73b0\u5927\u6a21\u578b\u5728\u5904\u7406\u6700\u7b80\u5355\u7684\u6570\u4f4d\u76f8\u5173\u4efb\u52a1\u65f6\u5b58\u5728\u660e\u663e\u4e0d\u8db3\u3002\u5177\u4f53\u800c\u8a00\uff0c\u5728\u8bf8\u5982 \u201c\u6570\u5b57\u957f\u5ea6\u201d\uff08length\uff09\u3001\u201c\u8fd4\u56de\u7ed9\u5b9a\u6570\u4f4d\u7684\u6570\u5b57\u201d\uff08get digit\uff09\u3001\u201c\u6570\u4f4d\u6bd4\u8f83\u5927\u5c0f\u201d\uff08digit max\uff09\u7b49\u4efb\u52a1\u4e0a\uff0c\u6a21\u578b\u7684\u8868\u73b0\u5747\u4e0d\u80fd\u4ee4\u4eba\u6ee1\u610f\uff0c\u5c24\u5176\u662f\u5728\u6570\u5b57\u8f83\u957f\u65f6\uff0c\u6027\u80fd\u4e0b\u964d\u5c24\u4e3a\u660e\u663e\u3002\u4f8b\u5982\uff0c\u5f53\u8be2\u95ee\u4e00\u4e2a\u957f 60-100 \u4f4d\u957f\u6574\u6570\u7684\u957f\u5ea6\u548c\u7279\u5b9a\u6570\u4f4d\u7684\u6570\u5b57\u65f6\uff0c\u5305\u62ec GPT-4o \u5728\u5185\u7684\u6a21\u578b\u51c6\u786e\u7387\u5747\u4e0d\u8d85\u8fc7 20%\uff1b\u800c\u5728 digit max \u4efb\u52a1\u4e0a\uff0c\u51e0\u4e4e\u6240\u6709\u6a21\u578b\u5747\u65e0\u6cd5\u6b63\u786e\u56de\u7b54\u3002\u8003\u8651\u5230\u6570\u4f4d\u662f\u6570\u5b57\u5904\u7406\u4e2d\u7684\u57fa\u672c\u6982\u5ff5\uff0c\u8fd9\u8868\u660e\u73b0\u6709\u5927\u6a21\u578b\u5728\u6570\u5b57\u5904\u7406\u4e0a\u5b58\u5728\u672c\u8d28\u7f3a\u9677\uff0c\u8fd9\u4e5f\u53ef\u80fd\u662f\u6a21\u578b\u5728\u5b9e\u9645\u4efb\u52a1\u4e2d\u9891\u7e41\u51fa\u73b0 \u201c\u4e8b\u5b9e\u5e7b\u89c9\u201d \u7684\u539f\u56e0\u3002<\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/12\/frc-0037243e234f2db718a198fa30bc8a7f.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/12\/frc-0037243e234f2db718a198fa30bc8a7f.png\"><\/a><\/p>\n<p><em><sup>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u56fe 4\uff1a\u548c\u6570\u4f4d\u76f8\u5173\u7684\u4efb\u52a1\u6027\u80fd\u3002<\/sup><\/em><\/p>\n<p>\u4f5c\u8005\u5728\u539f\u6587\u4e2d\u8fd8\u63d0\u4f9b\u4e86\u66f4\u591a\u7684\u89c2\u5bdf\uff0c\u5e76\u57fa\u4e8e\u66f4\u591a\u4efb\u52a1\u3001\u957f\u5ea6\u8303\u56f4\u548c\u51c6\u786e\u5ea6\u5ea6\u91cf\u7684\u8fdb\u884c\u4e86\u5206\u6790\u3002\u6b64\u5916\uff0c\u8003\u8651\u5230\u8be5\u6d4b\u8bd5\u6d89\u53ca\u6570\u5b57\u8868\u793a\u3001\u4efb\u52a1\u7c7b\u522b\u3001\u6570\u5b57\u957f\u5ea6\u548c\u5ea6\u91cf\u7b49\u591a\u4e2a\u65b9\u9762\uff0c\u4f5c\u8005\u8fd8\u63d0\u4f9b\u4e86\u4e00\u4e2a\u53ef\u4ea4\u4e92\u5f0f\u7684\u7f51\u7ad9\uff0c\u4fbf\u4e8e\u66f4\u6e05\u695a\u5730\u5c55\u793a\u7ed3\u679c\uff0c\u8be6\u60c5\u8bf7\u8bbf\u95ee\uff1ahttps:\/\/huggingface.co\/spaces\/kangshijia\/NUPA-Performance\u3002<\/p>\n<p><strong>\u63d0\u5347\u5927\u6a21\u578b\u6570\u5b57\u80fd\u529b\u7684\u4e09\u4e2a\u65b9\u9762<\/strong><\/p>\n<p>\u6d4b\u8bd5\u7ed3\u679c\u663e\u793a\uff0c\u73b0\u6709\u5927\u6a21\u578b\u5728\u6570\u5b57\u7406\u89e3\u548c\u5904\u7406\u65b9\u9762\u5b58\u5728\u7cfb\u7edf\u6027\u4e0d\u8db3\u3002\u4e3a\u6b64\uff0c\u4f5c\u8005\u7814\u7a76\u4e86\u63d0\u5347\u5927\u6a21\u578b\u6570\u5b57\u7406\u89e3\u80fd\u529b\u7684\u4e09\u4e2a\u65b9\u5411\uff0c\u5305\u62ec\u9884\u8bad\u7ec3\u9636\u6bb5\u7684\u6570\u5b57\u76f8\u5173\u6280\u672f\u3001\u9884\u8bad\u7ec3\u540e\u7684\u5fae\u8c03\uff0c\u4ee5\u53ca\u601d\u7ef4\u94fe\u6280\u672f\u3002<\/p>\n<p><strong>\u9884\u8bad\u7ec3\u4e2d\u5206\u8bcd\u5668\u5bf9\u6570\u5b57\u6027\u80fd\u7684\u5f71\u54cd<\/strong><\/p>\n<p>\u9996\u5148\uff0c\u4e00\u79cd\u666e\u904d\u7684\u731c\u60f3\u662f\uff0c\u5927\u6a21\u578b\u5728\u6570\u5b57\u80fd\u529b\u4e0a\u7684\u8584\u5f31\u4e0e\u5176\u5bf9\u6570\u5b57\u7684\u5206\u8bcd\uff08tokenization\uff09\u65b9\u5f0f\u6709\u5173\u3002\u76ee\u524d\u5927\u591a\u6570\u6d41\u884c\u7684\u5927\u6a21\u578b\u7531\u4e8e\u8bcd\u6c47\u8868\u56fa\u5b9a\uff0c\u9700\u8981\u5c06\u957f\u6570\u5b57\u5206\u62c6\u4e3a\u591a\u4e2a token\uff0c\u8fd9\u79cd\u65b9\u5f0f\u53ef\u80fd\u4f1a\u524a\u5f31\u6a21\u578b\u5bf9\u6570\u5b57\u7684\u7406\u89e3\u3002\u5728\u65e9\u671f\u7684 GPT-2 \u548c GPT-3 \u7b49\u6a21\u578b\u4e2d\uff0c\u91c7\u7528\u7684 BPE tokenizer \u5bf9\u6570\u5b57\u5206\u8bcd\u6ca1\u6709\u7279\u6b8a\u4f18\u5316\u3002\u8fd9\u79cd\u5206\u8bcd\u65b9\u5f0f\u4f1a\u751f\u6210\u4e0d\u56fa\u5b9a\u957f\u5ea6\u7684\u6570\u5b57 token\uff0c\u7814\u7a76\u5df2\u8bc1\u660e\u8fd9\u5bf9\u5927\u6a21\u578b\u7684\u6570\u4f4d\u5bf9\u9f50\u6709\u8d1f\u9762\u5f71\u54cd [1]\u3002\u540e\u7eed\u7684 Llama \u7b49\u6a21\u578b\u5747\u91c7\u7528\u4e86\u4ece\u5de6\u5230\u53f3\u7684\u8d2a\u5fc3\u5f0f\u5206\u8bcd\u5668\uff0c\u5176\u673a\u5236\u662f\u5bf9\u4e8e\u9884\u8bbe\u7684\u6700\u5927\u957f\u5ea6 k\uff0c\u4ece\u5de6\u5230\u53f3\u4f9d\u6b21\u622a\u53d6 k \u4e2a\u6570\u5b57\u7ec4\u6210\u4e00\u4e2a token\uff0c\u76f4\u81f3\u9047\u5230\u975e\u6570\u5b57\u5b57\u7b26\u4e3a\u6b62\u3002\u5728 k \u7684\u9009\u53d6\u4e0a\uff0c\u8f83\u65e9\u7684 Llama-2 \u6a21\u578b\u91c7\u7528 k=1\uff0c\u5373\u6bcf\u4e2a\u6570\u4f4d\u4f5c\u4e3a\u4e00\u4e2a token \u7684\u7b56\u7565\uff1b\u800c\u66f4\u65b0\u7684 GPT-3.5\uff0cGPT-4 \u548c Llama-3 \u5747\u9009\u53d6\u4e86 k=3 \u7684\u7b56\u7565\u3002\u8fd1\u6765\u7684\u7814\u7a76 [1] \u53c8\u8fdb\u4e00\u6b65\u6539\u8fdb\u4e86\u5206\u8bcd\u65b9\u5411\uff0c\u5c06\u6574\u6570\u90e8\u5206\u7684\u5206\u8bcd\u65b9\u5411\u6539\u4e3a\u4ece\u53f3\u5230\u5de6\uff0c\u4ee5\u66f4\u8d34\u5408\u4eba\u7c7b\u5bf9\u6570\u5b57\u7684\u7406\u89e3\u4e60\u60ef\u3002<\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/12\/frc-c0ab5a731d5d3934e6355d0c8d40ce27.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/12\/frc-c0ab5a731d5d3934e6355d0c8d40ce27.png\"><\/a><\/p>\n<p><em><sup>\u56fe 5\uff1a\u56db\u79cd\u4e0d\u540c\u7684\u5206\u8bcd\u5668\u8bbe\u8ba1\uff0c\u4ece\u4e0a\u5230\u4e0b\u5206\u522b\u4e3a\uff08a\uff09GPT-2 \u4f7f\u7528\u7684\u672a\u7ecf\u5904\u7406\u7684 BPE \u5206\u8bcd\u5668\u3001\uff08b\uff09Llama-2 \u4f7f\u7528\u7684\u5355\u6570\u4f4d\u5206\u8bcd\u5668\u3001\uff08c\uff09Llama-3 \u548c GPT-3.5\u3001GPT-4 \u4f7f\u7528\u7684 3 \u6570\u4f4d\u8d2a\u5fc3\u5206\u8bcd\u5668\uff0c\u4ee5\u53ca\uff08d\uff09\u6539\u8fdb\u5bf9\u9f50\u540e\u7684 3 \u6570\u4f4d\u5206\u8bcd\u5668\u3002<\/sup><\/em><\/p>\n<p>\u5c3d\u7ba1\u9488\u5bf9\u5206\u8bcd\u5668\u7684\u8bbe\u5b9a\u6709\u6240\u4e0d\u540c\uff0c\u4f46\u6700\u65b0\u6a21\u578b\u666e\u904d\u503e\u5411\u4e8e\u4f7f\u7528\u66f4\u5927\u7684\u8bcd\u6c47\u8868\uff0c\u5373\u66f4\u5927 k \u548c\u66f4\u957f\u7684 token\u3002\u7136\u800c\uff0c\u8fd9\u4e00\u8d8b\u52bf\u672a\u7ecf\u5145\u5206\u9a8c\u8bc1\u548c\u89e3\u91ca\u3002\u4e3a\u6b64\uff0c\u4f5c\u8005\u57fa\u4e8e NUPA \u63d0\u4f9b\u7684\u6570\u636e\u96c6\uff0c\u9488\u5bf9\u4e0d\u540c\u7684\u5206\u8bcd\u5668\u5927\u5c0f\u8fdb\u884c\u4e86\u7cfb\u7edf\u9a8c\u8bc1\u3002\u5b9e\u9a8c\u4e2d\uff0c\u4f5c\u8005\u6539\u8fdb\u5bf9\u9f50\u5206\u8bcd\u5668\uff0c\u8bbe\u7f6e k \u4e3a 1\u30012\u30013\uff0c\u5206\u522b\u8bad\u7ec3\u4e0d\u540c\u53c2\u6570\u89c4\u6a21\u7684 Transformer \u6a21\u578b\uff0c\u5e76\u5728 1-8 \u4f4d\u6574\u6570\u6216\u6d6e\u70b9\u6570\u7684\u52a0\u6cd5\u3001\u4e58\u6cd5\u7b49\u4efb\u52a1\u4e0a\u8fdb\u884c\u5b66\u4e60\uff0c\u518d\u6d4b\u8bd5\u5176\u5728 1-20 \u4f4d\u6570\u5b57\u4efb\u52a1\u4e0a\u7684\u6027\u80fd\u3002\u5b9e\u9a8c\u7ed3\u679c\u663e\u793a\uff08\u56fe 6\uff09\uff0c\u65e0\u8bba\u662f\u5728\u8bad\u7ec3\u7684\u6570\u5b57\u957f\u5ea6\u8303\u56f4\u5185\uff08in-domain\uff09\u8fd8\u662f\u8d85\u51fa\u8bad\u7ec3\u957f\u5ea6\uff08out-of-domain\uff09\u7684\u957f\u5ea6\u6cdb\u5316\u6027\u80fd\u4e0a\uff0c\u8bcd\u6c47\u8868\u66f4\u5c0f\u7684\u5206\u8bcd\u5668\uff08k=1\uff09\u7684\u6027\u80fd\u5747\u4f18\u4e8e\u6216\u63a5\u8fd1 2 \u4f4d\u6216 3 \u4f4d\u5206\u8bcd\u5668\uff0c\u540c\u65f6\u5177\u5907\u66f4\u5feb\u7684\u6536\u655b\u901f\u5ea6\u3002<\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/12\/frc-34082e8b7ac5609cc8f8ea186a4a322c.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/12\/frc-34082e8b7ac5609cc8f8ea186a4a322c.png\"><\/a><\/p>\n<p><em><sup>\u00a0\u56fe 6\uff1a\u4ee5\u6574\u6570\u4e58\u6cd5\u4e3a\u4f8b\uff0c1-3 \u4f4d\u5206\u8bcd\u5668\u7684\u6027\u80fd\u5bf9\u6bd4\uff1b\u6a2a\u8f74\u4e3a\u8bad\u7ec3\u6240\u89c1\u6837\u672c\u6570\uff0c\u7eb5\u8f74\u4e3a\u751f\u6210\u51c6\u786e\u7387\uff1b\u4ece\u5de6\u5230\u53f3\u5206\u522b\u4e3a 6 \u4f4d &#8211; 10 \u4f4d\u6570\u5b57\u52a0\u6cd5\u7684\u6d4b\u8bd5\u96c6\u51c6\u786e\u7387\u3002<\/sup><\/em><\/p>\n<p>\u6b64\u5916\uff0c\u4f5c\u8005\u8fd8\u7814\u7a76\u4e86\u6700\u8fd1\u63d0\u51fa\u7684\u6982\u7387\u5206\u8bcd\u5668\uff08\u5373\u5728\u5206\u8bcd\u65f6\u4e0d\u91c7\u7528\u8d2a\u5fc3\u7b97\u6cd5\uff0c\u800c\u662f\u968f\u673a\u53d6\u4e0d\u8d85\u8fc7 k \u4e2a\u6570\u5b57\u7ec4\u6210\u4e00\u4e2a token\uff09\u3002\u5b9e\u9a8c\u7ed3\u679c\u8868\u660e\uff0c\u5c3d\u7ba1\u6982\u7387\u5206\u8bcd\u5668\u5728\u957f\u5ea6\u6cdb\u5316\u4e0a\u8868\u73b0\u51fa\u4e00\u5b9a\u4f18\u52bf\uff0c\u4f46\u603b\u4f53\u6027\u80fd\u4ecd\u7136\u4e0d\u5982\u4e00\u4f4d\u5206\u8bcd\u5668\u3002\u7efc\u4e0a\uff0c\u4f5c\u8005\u8ba4\u4e3a\uff0c\u76ee\u524d\u6d41\u884c\u7684\u6269\u5927\u6570\u5b57\u8bcd\u6c47\u8868\u7684\u503e\u5411\u5b9e\u9645\u4e0a\u4e0d\u5229\u4e8e\u6570\u5b57\u5904\u7406\uff0c\u76f8\u53cd\uff0c\u66f4\u65e9\u671f\u7684\u4e00\u4f4d\u5206\u8bcd\u5668\u53ef\u80fd\u624d\u662f\u66f4\u4f18\u9009\u9879\u3002<\/p>\n<p><strong>\u5176\u5b83\u9884\u8bad\u7ec3\u4e2d\u7684\u6570\u5b57\u76f8\u5173\u6280\u672f<\/strong><\/p>\n<p>\u9664\u5206\u8bcd\u5668\u7684\u5f71\u54cd\u4e4b\u5916\uff0c\u8fc7\u53bb\u7684\u7814\u7a76\u8fd8\u4ece\u4f4d\u7f6e\u7f16\u7801\uff08positional encoding\uff0cPE\uff09\u548c\u6570\u5b57\u683c\u5f0f\u7b49\u89d2\u5ea6\u5206\u6790\u4e86\u6570\u5b57\u80fd\u529b\uff0c\u7279\u522b\u662f\u5728\u6570\u5b57\u7684\u957f\u5ea6\u6cdb\u5316\u65b9\u9762\u3002\u4f5c\u8005\u5728 NUPA \u4efb\u52a1\u4e0a\u6d4b\u8bd5\u4e86\u8fd9\u4e9b\u5178\u578b\u6280\u672f\uff0c\u7ed3\u679c\u663e\u793a\uff1a<\/p>\n<p>\u4ece\u4f4d\u7f6e\u7f16\u7801\u7684\u89d2\u5ea6\uff0c\u4ee5 NoPE \u548c Alibi \u4e3a\u4ee3\u8868\u7684\u6539\u8fdb\u578b\u4f4d\u7f6e\u7f16\u7801\u80fd\u591f\u6709\u6548\u89e3\u51b3\u957f\u5ea6\u6cdb\u5316\u95ee\u9898\u3002\u8fd9\u4e9b\u65b9\u6cd5\u9002\u7528\u4e8e\u591a\u79cd\u6570\u5b57\u8868\u793a\u548c\u4efb\u52a1\u7c7b\u578b\uff0c\u867d\u7136\u4f1a\u727a\u7272\u4e00\u5b9a\u7684\u8bad\u7ec3\u901f\u5ea6\uff0c\u4f46\u80fd\u63d0\u5347\u6a21\u578b\u5728\u8d85\u51fa\u8bad\u7ec3\u957f\u5ea6\u8303\u56f4\u65f6\u7684\u6027\u80fd\u3002<\/p>\n<p>\u9488\u5bf9\u6570\u5b57\u683c\u5f0f\uff0c\u7814\u7a76\u53d1\u73b0\u8865\u96f6\u5bf9\u9f50\uff08zero-padding\uff09\u548c\u53cd\u5411\u6570\u5b57\u8868\u793a\uff08reverse representation\uff09\u7b49\u6280\u672f\u6709\u52a9\u4e8e\u6570\u4f4d\u5bf9\u9f50\u3002\u5176\u4e2d\uff0c\u4ec5\u9488\u5bf9\u6574\u6570\u90e8\u5206\u8fdb\u884c\u53cd\u5411\u8868\u793a\u80fd\u591f\u663e\u8457\u63d0\u5347\u7ed3\u679c\u3002\u8fd9\u4e00\u90e8\u5206\u7684\u7ed3\u8bba\u8f83\u591a\uff0c\u611f\u5174\u8da3\u7684\u8bfb\u8005\u53ef\u4ee5\u53c2\u8003\u539f\u6587\u8fdb\u884c\u6df1\u5165\u9605\u8bfb\u3002<\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/12\/frc-6276475dc2b6823b920b1d3e3dfca8fb.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/12\/frc-6276475dc2b6823b920b1d3e3dfca8fb.png\"><\/a><\/p>\n<p><em><sup>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u56fe 7\uff1a\u4e00\u4e9b\u7528\u4e8e\u5e2e\u52a9\u6570\u4f4d\u5bf9\u9f50\u7684\u6570\u5b57\u8868\u793a\u3002<\/sup><\/em><\/p>\n<p><strong>\u540e\u8bad\u7ec3\u5fae\u8c03\u5bf9\u6570\u5b57\u6027\u80fd\u7684\u5f71\u54cd<\/strong><\/p>\n<p>\u5fae\u8c03\u662f\u63d0\u5347\u5927\u6a21\u578b\u5728\u7279\u5b9a\u4efb\u52a1\u4e0a\u8868\u73b0\u7684\u5e38\u89c1\u65b9\u6cd5\u3002\u4f5c\u8005\u9488\u5bf9 NUPA \u8fdb\u884c\u4e86\u5fae\u8c03\u5b9e\u9a8c\uff0c\u4f7f\u7528 NUPA \u63d0\u4f9b\u7684 41 \u4e2a\u4efb\u52a1\u6784\u5efa\u4e86\u5305\u62ec\u591a\u79cd\u6570\u5b57\u8868\u793a\u3001\u4efb\u52a1\u7c7b\u578b\u548c\u6570\u5b57\u957f\u5ea6\u7684\u8bad\u7ec3\u96c6\uff0c\u5e76\u5728 Llama-3.1-8B \u57fa\u7840\u4e0a\u8fdb\u884c\u53c2\u6570\u9ad8\u6548\u5fae\u8c03\uff08Parameter-Efficient Fine-Tuning, PEFT\uff09\u3002\u4e3a\u4e86\u6d4b\u8bd5\u6570\u5b57\u957f\u5ea6\u4e0a\u7684\u6cdb\u5316\u6027\u80fd\uff0c\u4f5c\u8005\u53ea\u9009\u62e9\u4e86 S \u548c M \u4e24\u4e2a\u957f\u5ea6\u8303\u56f4\u8fdb\u884c\u8bad\u7ec3\uff0c\u5e76\u5728 S\u3001M\u3001L\u3001XL \u56db\u4e2a\u957f\u5ea6\u8303\u56f4\u5185\u8fdb\u884c\u6d4b\u8bd5\u3002<\/p>\n<p>\u8bad\u7ec3\u7ed3\u679c\u8868\u660e\uff0c\u6a21\u578b\u901a\u8fc7\u5c11\u91cf\u7684\u8bad\u7ec3\u6b65\u6570\uff08\u7ea6\u4e24\u5343\u6b65\uff09\u5373\u53ef\u663e\u8457\u63d0\u5347\u6027\u80fd\uff0c\u5982\u56fe 6 \u6240\u793a\uff0c\u7ecf\u8fc7\u5fae\u8c03\u7684\u6a21\u578b\u5728\u591a\u4e2a\u4efb\u52a1\u4e0a\u8868\u73b0\u660e\u663e\u4f18\u4e8e\u672a\u7ecf\u5fae\u8c03\u7684 Llama-3.1-8B \u6a21\u578b\uff1b\u5728\u4e00\u4e9b\u4efb\u52a1\u4e0a\uff0c\u5fae\u8c03\u540e\u7684\u6a21\u578b\u751a\u81f3\u63a5\u8fd1 GPT-4o \u6216\u8d85\u8fc7\u4e86 GPT-4o \u7684\u6027\u80fd\u3002\u8fd9\u8868\u660e\uff0c\u6a21\u578b\u5728\u67d0\u4e9b\u4efb\u52a1\u4e0a\u8868\u73b0\u8f83\u5dee\u7684\u539f\u56e0\u53ef\u80fd\u662f\u7f3a\u4e4f\u8db3\u591f\u591a\u6837\u7684\u4efb\u52a1\u548c\u6570\u5b57\u8868\u793a\u8bad\u7ec3\u6570\u636e\u3002\u589e\u52a0\u8fd9\u4e9b\u6570\u636e\u6709\u671b\u6539\u5584\u6a21\u578b\u8868\u73b0\u3002\u7136\u800c\uff0c\u5373\u4f7f\u7ecf\u8fc7\u5fae\u8c03\uff0c\u8be5\u6a21\u578b\u7684\u51c6\u786e\u7387\u4e5f\u672a\u80fd\u8fbe\u5230\u5728\u6574\u4e2a\u533a\u95f4\u4e0a\u8fbe\u5230\u63a5\u8fd1 100% \u7684\u6c34\u5e73\u3002<\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/12\/frc-2bbaa193f6cc36639dabbe7093ceb193.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/12\/frc-2bbaa193f6cc36639dabbe7093ceb193.png\"><\/a><\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/12\/frc-39946f3060628a2d4883bb50312a2a62.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/12\/frc-39946f3060628a2d4883bb50312a2a62.png\"><\/a><\/p>\n<p><em><sup>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u56fe 8\uff1a\u7ecf\u8fc7\u5fae\u8c03\u7684\u6a21\u578b\u548c\u5176\u5b83\u6a21\u578b\u7684\u5bf9\u6bd4\uff0c\u5176\u4e2d &#8211; ft 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href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/12\/frc-fb794af933902a32b15db21acd570189.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/12\/frc-fb794af933902a32b15db21acd570189.png\"><\/a><\/p>\n<p><em><sup>\u56fe 9\uff1a\u4ee5\u6d6e\u70b9\u6570\u52a0\u6cd5\u4e3a\u4f8b\uff0c\u5176\u4e2d rev \u8868\u793a\u6570\u5b57\u53cd\u5411\u8868\u793a\u3001pad \u8868\u793a\u6570\u5b57\u9996\u4f4d\u8865\u96f6\u5bf9\u9f50\uff0c1d \u8868\u793a\u4f7f\u7528 1 \u4f4d tokenizer\uff1bFT \u548c w\/o FT \u5206\u522b\u4e3a\u76f4\u63a5\u8fdb\u884c\u5fae\u8c03\u548c\u4e0d\u4f7f\u7528\u5fae\u8c03\u7684\u539f\u59cb\u53c2\u6570\u3002\u6a21\u578b\u5747\u91c7\u7528 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Singh, DJ Strouse, Tokenization counts: the impact of tokenization on arithmetic in frontier LLMs. 2024<\/sup><\/em><\/p>\n<p>\u6587\u7ae0\u6765\u6e90\u4e8e\u4e92\u8054\u7f51:<a href=\"https:\/\/www.jiqizhixin.com\/articles\/2024-12-11-6\" target=\"_blank\">\u6570\u5b57\u6bd4\u4f60\u60f3\u5f97\u66f4\u590d\u6742\u2014\u2014\u4e00\u6587\u5e26\u4f60\u4e86\u89e3\u5927\u6a21\u578b\u6570\u5b57\u5904\u7406\u80fd\u529b\u7684\u65b9\u65b9\u9762\u9762<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u6587\u7ae0\u6765\u6e90\u4e8e\u4e92\u8054\u7f51:\u6570\u5b57\u6bd4\u4f60\u60f3\u5f97\u66f4\u590d\u6742\u2014\u2014 [&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":[68,63],"class_list":["post-37185","post","type-post","status-publish","format-standard","hentry","category-news","tag-68","tag-63"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.4 - 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