{"id":35690,"date":"2024-12-29T21:00:16","date_gmt":"2024-12-29T13:00:16","guid":{"rendered":"https:\/\/17aitech.com\/?p=35690"},"modified":"2024-12-29T21:00:16","modified_gmt":"2024-12-29T13:00:16","slug":"kan%e7%bb%93%e5%90%88transformer%ef%bc%8c%e7%9c%9f%e6%9c%89%e5%9b%a2%e9%98%9f%e6%90%9e%e5%87%ba%e4%ba%86%e8%a7%a3%e5%86%b3%e6%89%a9%e5%b1%95%e7%bc%ba%e9%99%b7%e7%9a%84kat","status":"publish","type":"post","link":"https:\/\/17aitech.com\/?p=35690","title":{"rendered":"KAN\u7ed3\u5408Transformer\uff0c\u771f\u6709\u56e2\u961f\u641e\u51fa\u4e86\u89e3\u51b3\u6269\u5c55\u7f3a\u9677\u7684KAT"},"content":{"rendered":"<p>\u6587\u7ae0\u6765\u6e90\u4e8e\u4e92\u8054\u7f51:<a href=\"https:\/\/www.jiqizhixin.com\/articles\/2024-09-19-3\" target=\"_blank\">KAN\u7ed3\u5408Transformer\uff0c\u771f\u6709\u56e2\u961f\u641e\u51fa\u4e86\u89e3\u51b3\u6269\u5c55\u7f3a\u9677\u7684KAT<\/a><\/p>\n<section>Transformer \u662f\u73b0\u4ee3\u6df1\u5ea6\u5b66\u4e60\u7684\u57fa\u77f3\u3002\u4f20\u7edf\u4e0a\uff0cTransformer \u4f9d\u8d56\u591a\u5c42\u611f\u77e5\u5668 (MLP) \u5c42\u6765\u6df7\u5408\u901a\u9053\u4e4b\u95f4\u7684\u4fe1\u606f\u3002\u00a0<\/section>\n<section><\/section>\n<section>\u524d\u6bb5\u65f6\u95f4\uff0c\u6765\u81ea MIT \u7b49\u673a\u6784\u7684\u7814\u7a76\u8005\u63d0\u51fa\u4e86\u4e00\u79cd\u975e\u5e38\u6709\u6f5c\u529b\u7684\u66ff\u4ee3\u65b9\u6cd5 \u2014\u2014KAN\u3002\u8be5\u65b9\u6cd5\u5728\u51c6\u786e\u6027\u548c\u53ef\u89e3\u91ca\u6027\u65b9\u9762\u8868\u73b0\u4f18\u4e8e MLP\u3002\u800c\u4e14\uff0c\u5b83\u80fd\u4ee5\u975e\u5e38\u5c11\u7684\u53c2\u6570\u91cf\u80dc\u8fc7\u4ee5\u66f4\u5927\u53c2\u6570\u91cf\u8fd0\u884c\u7684 MLP\u3002<\/section>\n<section><\/section>\n<section>KAN\u7684\u53d1\u5e03\uff0c\u5f15\u8d77\u4e86AI\u793e\u533a\u5927\u91cf\u7684\u5173\u6ce8\u4e0e\u8ba8\u8bba\uff0c\u540c\u65f6\u4e5f\u4f34\u968f\u5f88\u5927\u7684\u4e89\u8bae\u3002<\/p>\n<p>\u800c\u6b64\u7c7b\u7814\u7a76\uff0c\u53c8\u6709\u4e86\u65b0\u7684\u8fdb\u5c55\u3002<\/section>\n<section><\/section>\n<section>\u6700\u8fd1\uff0c\u6765\u81ea\u65b0\u52a0\u5761\u56fd\u7acb\u5927\u5b66\u7684\u7814\u7a76\u8005\u63d0\u51fa\u4e86 Kolmogorov\u2013Arnold Transformer\uff08KAT\uff09\uff0c\u7528 Kolmogorov-Arnold Network\uff08KAN\uff09\u5c42\u53d6\u4ee3 MLP \u5c42\uff0c\u4ee5\u589e\u5f3a\u6a21\u578b\u7684\u8868\u8fbe\u80fd\u529b\u548c\u6027\u80fd\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/09\/frc-145e95a04cb9070285412a94091f6967.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/09\/frc-145e95a04cb9070285412a94091f6967.png\"><\/a><\/section>\n<ul>\n<li>\n<section>\u8bba\u6587\u6807\u9898\uff1aKolmogorov\u2013Arnold Transformer<\/section>\n<\/li>\n<li>\n<section>\u8bba\u6587\u5730\u5740\uff1ahttps:\/\/arxiv.org\/pdf\/2409.10594<\/section>\n<\/li>\n<li>\n<section>\u9879\u76ee\u5730\u5740\uff1ahttps:\/\/github.com\/Adamdad\/kat<\/section>\n<\/li>\n<\/ul>\n<section><\/section>\n<section>KAN \u539f\u8bba\u6587\u7b2c\u4e00\u4f5c\u8005 Ziming Liu \u4e5f\u8f6c\u53d1\u70b9\u8d5e\u4e86\u8fd9\u9879\u65b0\u7814\u7a76\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/09\/frc-d98f6049f627127bec49f88e8021e682.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/09\/frc-d98f6049f627127bec49f88e8021e682.png\"><\/a><\/section>\n<section>\u5c06 KAN \u96c6\u6210\u5230 Transformer \u4e2d\u5e76\u4e0d\u662f\u4e00\u4ef6\u5bb9\u6613\u7684\u4e8b\uff0c\u5c24\u5176\u662f\u5728\u6269\u5c55\u65f6\u3002\u5177\u4f53\u6765\u8bf4\uff0c\u8be5\u7814\u7a76\u786e\u5b9a\u4e86\u4e09\u4e2a\u5173\u952e\u6311\u6218\uff1a<\/section>\n<section><\/section>\n<section>(C1) \u57fa\u51fd\u6570\u3002KAN \u4e2d\u4f7f\u7528\u7684\u6807\u51c6 B \u6837\u6761\uff08B-spline\uff09\u51fd\u6570\u5e76\u672a\u9488\u5bf9\u73b0\u4ee3\u786c\u4ef6\u4e0a\u7684\u5e76\u884c\u8ba1\u7b97\u8fdb\u884c\u4f18\u5316\uff0c\u5bfc\u81f4\u63a8\u7406\u901f\u5ea6\u8f83\u6162\u3002<\/section>\n<section>(C2) \u53c2\u6570\u548c\u8ba1\u7b97\u6548\u7387\u4f4e\u4e0b\u3002KAN \u9700\u8981\u6bcf\u4e2a\u8f93\u5165\u8f93\u51fa\u5bf9\u90fd\u6709\u7279\u5b9a\u7684\u51fd\u6570\uff0c\u8fd9\u4f7f\u5f97\u8ba1\u7b97\u91cf\u975e\u5e38\u5927\u3002<\/section>\n<section>(C3) \u6743\u91cd\u521d\u59cb\u5316\u3002\u7531\u4e8e\u5177\u6709\u53ef\u5b66\u4e60\u7684\u6fc0\u6d3b\u51fd\u6570\uff0cKAN \u4e2d\u7684\u6743\u91cd\u521d\u59cb\u5316\u7279\u522b\u5177\u6709\u6311\u6218\u6027\uff0c\u8fd9\u5bf9\u4e8e\u5b9e\u73b0\u6df1\u5ea6\u795e\u7ecf\u7f51\u7edc\u7684\u6536\u655b\u81f3\u5173\u91cd\u8981\u3002<\/section>\n<section><\/section>\n<section>\u4e3a\u4e86\u514b\u670d\u4e0a\u8ff0\u6311\u6218\uff0c\u7814\u7a76\u56e2\u961f\u63d0\u51fa\u4e86\u4e09\u4e2a\u5173\u952e\u89e3\u51b3\u65b9\u6848\uff1a<\/section>\n<section><\/section>\n<section>(S1)\u00a0\u6709\u7406\u57fa\u7840\u3002\u8be5\u7814\u7a76\u7528\u6709\u7406\u51fd\u6570\u66ff\u6362 B \u6837\u6761\u51fd\u6570\uff0c\u4ee5\u63d0\u9ad8\u4e0e\u73b0\u4ee3 GPU \u7684\u517c\u5bb9\u6027\u3002\u901a\u8fc7\u5728 CUDA \u4e2d\u5b9e\u73b0\u8fd9\u4e00\u70b9\uff0c\u8be5\u7814\u7a76\u5b9e\u73b0\u4e86\u66f4\u5feb\u7684\u8ba1\u7b97\u3002<\/section>\n<section>(S2) Group KAN\u3002\u901a\u8fc7\u4e00\u7ec4\u795e\u7ecf\u5143\u5171\u4eab\u6fc0\u6d3b\u6743\u91cd\uff0c\u4ee5\u5728\u4e0d\u5f71\u54cd\u6027\u80fd\u7684\u60c5\u51b5\u4e0b\u51cf\u5c11\u8ba1\u7b97\u8d1f\u8f7d\u3002<\/section>\n<section>(S3) Variance-preserving \u521d\u59cb\u5316\u3002\u8be5\u7814\u7a76\u4ed4\u7ec6\u521d\u59cb\u5316\u6fc0\u6d3b\u6743\u91cd\uff0c\u4ee5\u786e\u4fdd\u8de8\u5c42\u4fdd\u6301\u6fc0\u6d3b\u65b9\u5dee\u3002<\/section>\n<section><\/section>\n<section>\u7ed3\u5408\u89e3\u51b3\u65b9\u6848 S1-S3\uff0c\u8be5\u7814\u7a76\u63d0\u51fa\u4e86\u4e00\u79cd\u65b0\u7684 KAN \u53d8\u4f53\uff0c\u79f0\u4e3a Group-Rational KAN (GR-KAN)\uff0c\u4ee5\u53d6\u4ee3 Transformer \u4e2d\u7684 MLP\u3002<\/section>\n<section><\/section>\n<section>\u5b9e\u9a8c\u7ed3\u679c\u8868\u660e\uff1aGR-KAN \u8ba1\u7b97\u6548\u7387\u9ad8\u3001\u6613\u4e8e\u5b9e\u73b0\uff0c\u5e76\u4e14\u53ef\u4ee5\u65e0\u7f1d\u96c6\u6210\u5230\u89c6\u89c9 transformer\uff08ViT\uff09\u4e2d\uff0c\u53d6\u4ee3 MLP \u5c42\u4ee5\u5b9e\u73b0\u5353\u8d8a\u7684\u6027\u80fd\u3002\u6b64\u5916\uff0c\u8be5\u7814\u7a76\u7684\u8bbe\u8ba1\u5141\u8bb8 KAT \u4ece ViT \u6a21\u578b\u52a0\u8f7d\u9884\u8bad\u7ec3\u6743\u91cd\u5e76\u7ee7\u7eed\u8bad\u7ec3\u4ee5\u83b7\u5f97\u66f4\u597d\u7684\u7ed3\u679c\u3002<\/section>\n<section><\/section>\n<section>\u8be5\u7814\u7a76\u5728\u4e00\u7cfb\u5217\u89c6\u89c9\u4efb\u52a1\u4e2d\u5b9e\u8bc1\u9a8c\u8bc1\u4e86 KAT\uff0c\u5305\u62ec\u56fe\u50cf\u8bc6\u522b\u3001\u76ee\u6807\u68c0\u6d4b\u548c\u8bed\u4e49\u5206\u5272\u3002\u7ed3\u679c\u8868\u660e\uff0cKAT \u7684\u6027\u80fd\u4f18\u4e8e\u4f20\u7edf\u7684\u57fa\u4e8e MLP \u7684 transformer\uff0c\u5728\u8ba1\u7b97\u91cf\u76f8\u5f53\u7684\u60c5\u51b5\u4e0b\u5b9e\u73b0\u4e86\u589e\u5f3a\u7684\u6027\u80fd\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/09\/frc-70b33f349150cc537566e7295cfe7bbe.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/09\/frc-70b33f349150cc537566e7295cfe7bbe.png\"><\/a><\/section>\n<section>\u5982\u56fe 1 \u6240\u793a\uff0cKAT-B \u5728 ImageNet-1K \u4e0a\u5b9e\u73b0\u4e86 82.3% \u7684\u51c6\u786e\u7387\uff0c\u8d85\u8fc7\u76f8\u540c\u5927\u5c0f\u7684 ViT \u6a21\u578b 3.1%\u3002\u5f53\u4f7f\u7528 ViT \u7684\u9884\u8bad\u7ec3\u6743\u91cd\u8fdb\u884c\u521d\u59cb\u5316\u65f6\uff0c\u51c6\u786e\u7387\u8fdb\u4e00\u6b65\u63d0\u9ad8\u5230 82.7%\u3002<\/section>\n<section><\/section>\n<section>\u4e0d\u8fc7\uff0c\u4e5f\u6709\u7f51\u53cb\u8d28\u7591\u9053\uff1a\u300c\u81ea\u4ece\u6709\u8bba\u6587\u6bd4\u8f83\u4e86\u5177\u6709\u76f8\u540c\u53c2\u6570\u5927\u5c0f\u7684 MLP \u6a21\u578b\u548c KAN \u6a21\u578b\u7684\u6027\u80fd\u540e\uff0c\u6211\u5c31\u5bf9 KAN \u6301\u6000\u7591\u6001\u5ea6\u3002\u53ef\u89e3\u91ca\u6027\u4f3c\u4e4e\u662f\u552f\u4e00\u5f97\u5230\u5de8\u5927\u63d0\u5347\u7684\u4e1c\u897f\u3002\u300d<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/09\/frc-c64c3341a641d5a3d258ea1804a53c23.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/09\/frc-c64c3341a641d5a3d258ea1804a53c23.png\"><\/a><\/section>\n<section>\u5bf9\u6b64\uff0c\u8bba\u6587\u4f5c\u8005\u56de\u5e94\u9053\uff1a\u300c\u7684\u786e\uff0c\u539f\u59cb KAN \u5728\u53ef\u89e3\u91ca\u6027\u4e0a\u505a\u5f97\u5f88\u597d\uff0c\u4f46\u4e0d\u4fdd\u8bc1\u6027\u80fd\u548c\u6548\u7387\u3002\u6211\u4eec\u6240\u505a\u7684\u5c31\u662f\u4fee\u590d\u8fd9\u4e9b bug \u5e76\u8fdb\u884c\u6269\u5c55\u3002\u300d<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/09\/frc-1e3c9fa41df71e83d7dc272e822601ea.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/09\/frc-1e3c9fa41df71e83d7dc272e822601ea.png\"><\/a><\/section>\n<section><\/section>\n<section>\u8fd8\u6709\u7f51\u53cb\u8868\u793a\uff0c\u8fd9\u7bc7\u8bba\u6587\u548c\u5176\u4ed6\u4eba\u7684\u60f3\u6cd5\u4e00\u6837\uff0c\u5c31\u662f\u7528 KAN \u53d6\u4ee3\u4e86 MLP\uff0c\u5e76\u8d28\u7591\u4e3a\u4ec0\u4e48\u4f5c\u8005\u5728\u5c1d\u8bd5\u4e00\u4e9b\u5df2\u7ecf\u5f88\u6210\u719f\u548c\u7c7b\u4f3c\u7684\u4e1c\u897f\uff0c\u96be\u9053\u662f\u5728\u7092\u4f5c KAN\uff1f\u5bf9\u6b64\uff0c \u8bba\u6587\u4f5c\u8005 Xingyi Yang \u89e3\u91ca\u9053\uff0c\u4e8b\u5b9e\u786e\u5b9e\u5982\u6b64\uff0c\u4f46\u4e0d\u662f\u7092\u4f5c\uff0c\u6839\u636e\u5b9e\u9a8c\uff0c\u7b80\u5355\u5730\u8fdb\u884c\u8fd9\u79cd\u66ff\u6362\u662f\u884c\u4e0d\u901a\u7684\uff0c\u4ed6\u4eec\u5728\u52aa\u529b\u5c06\u8fd9\u4e2a\u7b80\u5355\u7684\u60f3\u6cd5\u53d8\u6210\u53ef\u80fd\u7684\u4e8b\u60c5\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/09\/frc-3d4cf2968fac18231373643bf2b17086.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/09\/frc-3d4cf2968fac18231373643bf2b17086.png\"><\/a><\/section>\n<section>\u00a0<strong>Kolmogorov\u2013Arnold Transformer \uff08KAT\uff09<\/strong><\/section>\n<section><\/section>\n<section>\u4f5c\u8005\u8868\u793a\uff0c\u6807\u51c6\u7684 KAN \u9762\u4e34\u4e09\u5927\u6311\u6218\uff0c\u9650\u5236\u4e86\u5176\u5728\u5927\u578b\u6df1\u5ea6\u795e\u7ecf\u7f51\u7edc\u4e2d\u7684\u5e94\u7528\u3002<\/section>\n<section><\/section>\n<section>\u5b83\u4eec\u5206\u522b\u662f\u57fa\u51fd\u6570\u7684\u9009\u62e9\u3001\u5197\u4f59\u53c2\u6570\u53ca\u5176\u8ba1\u7b97\u3001\u521d\u59cb\u5316\u95ee\u9898\u3002\u8fd9\u4e9b\u8bbe\u8ba1\u9009\u62e9\u4f7f\u5f97\u539f\u59cb\u7248\u672c\u7684 KAN \u662f\u8d44\u6e90\u5bc6\u96c6\u578b\u7684\uff0c\u96be\u4ee5\u5e94\u7528\u4e8e\u5927\u89c4\u6a21\u6a21\u578b\u3002<\/section>\n<section><\/section>\n<section>\u672c\u6587\u5bf9\u8fd9\u4e9b\u7f3a\u9677\u8bbe\u8ba1\u52a0\u4ee5\u6539\u8fdb\uff0c\u4ee5\u66f4\u597d\u5730\u9002\u5e94\u73b0\u4ee3 Transformer\uff0c\u4ece\u800c\u5141\u8bb8\u7528 KAN \u66ff\u6362 MLP \u5c42\u3002<\/section>\n<section><\/section>\n<section><strong>KAT \u6574\u4f53\u67b6\u6784<\/strong><\/section>\n<section><\/section>\n<section>\u6b63\u5982\u5176\u540d\u79f0\u6240\u6697\u793a\u7684\u90a3\u6837\uff0cKAT \u7528 KAN \u5c42\u53d6\u4ee3\u4e86\u89c6\u89c9 transformer \u4e2d\u7684 MLP \u5c42\u3002<\/section>\n<section><\/section>\n<section>\u5177\u4f53\u6765\u8bf4\uff0c\u5bf9\u4e8e 2D \u56fe\u50cf<a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/09\/frc-cf3f5dad6387a3cd1fde1d32e7d1771b.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/09\/frc-cf3f5dad6387a3cd1fde1d32e7d1771b.png\"><\/a>\uff0c\u4f5c\u8005\u9996\u5148\u5c06\u5176\u5e73\u9762\u5316\u6210 1D \u5e8f\u5217\uff0c\u5728\u6b64\u57fa\u7840\u4e0a\u5e94\u7528 patch \u5d4c\u5165\u548c\u4f4d\u7f6e\u7f16\u7801\uff0c\u7136\u540e\u901a\u8fc7\u4e00\u7cfb\u5217 KAT \u5c42\u8fdb\u884c\u4f20\u9012\u3002\u5bf9\u4e8e<a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/09\/frc-cf45a685394541a4a441644a8f677c53.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/09\/frc-cf45a685394541a4a441644a8f677c53.png\"><\/a>\u5c42\uff0c\u53ef\u4ee5\u6267\u884c\u5982\u4e0b\u64cd\u4f5c\uff1a<\/section>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/09\/frc-f4ec99e706ba97138b2d073e1ee2ee73.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/09\/frc-f4ec99e706ba97138b2d073e1ee2ee73.png\"><\/a><\/p>\n<section>\u5176\u4e2d\uff0c<a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/09\/frc-02996d5e005ddba94b4cd087c6c1715e.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/09\/frc-02996d5e005ddba94b4cd087c6c1715e.png\"><\/a>\u8868\u793a<a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/09\/frc-3e50b7c8ea948a158a90f1181a87de0d.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/09\/frc-3e50b7c8ea948a158a90f1181a87de0d.png\"><\/a>\u5c42\u7684\u8f93\u51fa\u7279\u5f81\u5e8f\u5217\u3002<\/section>\n<section><\/section>\n<section>\u5982\u56fe\u6240\u793a\uff0c\u4f5c\u8005\u7528\u4e24\u5c42 KAN \u66ff\u6362\u4e24\u5c42 MLP\uff0c\u540c\u65f6\u4fdd\u6301\u6ce8\u610f\u529b\u5c42\u4e0d\u53d8\u3002\u7136\u800c\uff0c\u7b80\u5355\u7684\u66ff\u6362\u4e0d\u8db3\u4ee5\u5728\u5927\u6a21\u578b\u4e2d\u5b9e\u73b0\u53ef\u6269\u5c55\u6027\u3002<\/section>\n<section><\/section>\n<section>\u6700\u91cd\u8981\u7684\u662f\uff0c\u5728\u8fd9\u91cc\uff0c\u4f5c\u8005\u5f15\u5165\u4e86\u4e00\u79cd\u7279\u6b8a\u7684 Group-Rational KAN\u3002\u4f5c\u8005\u4f7f\u7528\u6709\u7406\u51fd\u6570\u4f5c\u4e3a KAN \u7684\u57fa\u51fd\u6570\uff0c\u5e76\u5728\u4e00\u7ec4\u8fb9\u4e4b\u95f4\u5171\u4eab\u53c2\u6570\u3002\u6b64\u5916\uff0c\u4f5c\u8005\u8fd8\u6307\u5b9a\u4e86\u6743\u91cd\u521d\u59cb\u5316\u65b9\u6848\u4ee5\u786e\u4fdd\u7a33\u5b9a\u7684\u8bad\u7ec3\u3002\u8fd9\u4e9b\u6539\u8fdb\u4f7f\u5f97 KAT \u66f4\u5177\u53ef\u6269\u5c55\u6027\u5e76\u63d0\u9ad8\u4e86\u6027\u80fd\u3002<\/section>\n<section><\/section>\n<section><strong>\u6709\u7406\u57fa\u51fd\u6570<\/strong><\/section>\n<section><\/section>\n<section>\u4f5c\u8005\u4f7f\u7528\u6709\u7406\u51fd\u6570\u4f5c\u4e3a KAN \u5c42\u7684\u57fa\u51fd\u6570\uff0c\u800c\u4e0d\u662f B \u6837\u6761\u51fd\u6570\uff0c\u5373\u6bcf\u4e2a\u8fb9\u4e0a\u7684\u51fd\u6570 \ud835\udf19 (\ud835\udc65) \u53c2\u6570\u5316\u4e3a \ud835\udc5a\u3001\ud835\udc5b \u9636\u591a\u9879\u5f0f \ud835\udc43 (\ud835\udc65)\u3001\ud835\udc44(\ud835\udc65) \u4e0a\u7684\u6709\u7406\u6570\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/09\/frc-90c40bfaf539b81c05737d1d0dbbfd48.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/09\/frc-90c40bfaf539b81c05737d1d0dbbfd48.png\"><\/a><\/section>\n<section>\u6807\u51c6\u5f62\u5f0f\u8f6c\u5316\u4e3a\uff1a<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/09\/frc-997e2415167ae97885ab0530a6ccf096.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/09\/frc-997e2415167ae97885ab0530a6ccf096.png\"><\/a><\/section>\n<section>\u81f3\u4e8e\u4e3a\u4ec0\u4e48\u91c7\u7528\u6709\u7406\u51fd\u6570\uff0c\u4f5c\u8005\u8868\u793a\u4ece\u6548\u7387\u89d2\u5ea6\u6765\u770b\uff0c\u591a\u9879\u5f0f\u6c42\u503c\u6d89\u53ca\u7b80\u5355\u7684\u8fd0\u7b97\uff0c\u975e\u5e38\u9002\u5408\u5e76\u884c\u8ba1\u7b97\u3002\u8fd9\u4f7f\u5f97\u6709\u7406\u51fd\u6570\u5bf9\u4e8e\u5927\u89c4\u6a21\u6a21\u578b\u5177\u6709\u8ba1\u7b97\u6548\u7387\u3002<\/section>\n<section><\/section>\n<section>\u5176\u6b21\uff0c\u4ece\u7406\u8bba\u89d2\u5ea6\u6765\u770b\uff0c\u6709\u7406\u51fd\u6570\u53ef\u4ee5\u6bd4\u591a\u9879\u5f0f\u66f4\u9ad8\u6548\u3001\u66f4\u51c6\u786e\u5730\u903c\u8fd1\u66f4\u5e7f\u6cdb\u7684\u51fd\u6570\u3002\u7531\u4e8e B \u6837\u6761\u672c\u8d28\u4e0a\u662f\u5c40\u90e8\u591a\u9879\u5f0f\u7684\u548c\uff0c\u56e0\u6b64\u6709\u7406\u51fd\u6570\u5728\u590d\u6742\u884c\u4e3a\u5efa\u6a21\u65b9\u9762\u6bd4 B \u6837\u6761\u5177\u6709\u7406\u8bba\u4f18\u52bf\u3002<\/section>\n<section><\/section>\n<section>\u7b2c\u4e09\uff0c\u4ece\u5b9e\u8df5\u89d2\u5ea6\u6765\u770b\uff0c\u6709\u7406\u6fc0\u6d3b\u51fd\u6570\u5df2\u7ecf\u6210\u529f\u7528\u4f5c\u795e\u7ecf\u7f51\u7edc\u4e2d\u7684\u6fc0\u6d3b\u51fd\u6570\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/09\/frc-b05980699bfbf2a4a047b7c18ba8a3ef.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/09\/frc-b05980699bfbf2a4a047b7c18ba8a3ef.png\"><\/a><\/section>\n<section><strong>Group KAN\u00a0<\/strong><\/section>\n<section><\/section>\n<section>\u4f5c\u8005\u8868\u793a\uff0c\u4ed6\u4eec\u4e0d\u5fc5\u4e3a\u6bcf\u4e2a\u8f93\u5165 &#8211; \u8f93\u51fa\u5bf9\u5b66\u4e60\u4e00\u4e2a\u72ec\u7279\u7684\u57fa\u51fd\u6570\uff0c\u800c\u662f\u53ef\u4ee5\u5728\u4e00\u7ec4\u8fb9\u5185\u5171\u4eab\u5b83\u4eec\u7684\u53c2\u6570\u3002\u8fd9\u51cf\u5c11\u4e86\u53c2\u6570\u6570\u91cf\u548c\u8ba1\u7b97\u91cf\u3002\u8fd9\u79cd\u53c2\u6570\u5171\u4eab\u548c\u5206\u7ec4\u8ba1\u7b97\u7684\u65b9\u5f0f\u4e00\u76f4\u662f\u795e\u7ecf\u7f51\u7edc\u8bbe\u8ba1\u4e2d\u7684\u5173\u952e\u6280\u672f<\/section>\n<section><\/section>\n<section>\u56fe 2 \u8bf4\u660e\u4e86\u539f\u59cb KAN\u3001Group KAN \u548c\u6807\u51c6 MLP \u4e4b\u95f4\u7684\u533a\u522b\u3002Group KAN \u901a\u8fc7\u5728\u4e00\u7ec4\u8fb9\u4e4b\u95f4\u5171\u4eab\u8fd9\u4e9b\u51fd\u6570\u6765\u51cf\u5c11\u53c2\u6570\u6570\u91cf\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/09\/frc-fd82c07484e971e477d5938d47466b2f.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/09\/frc-fd82c07484e971e477d5938d47466b2f.png\"><\/a><\/section>\n<section>\u9664\u4e86\u8282\u7701\u53c2\u6570\u6570\u91cf\u5916\uff0c\u8fd9\u79cd\u5206\u7ec4\u8fd8\u51cf\u5c11\u4e86\u8ba1\u7b97\u9700\u6c42\u3002\u4e0d\u540c\u6a21\u578b\u95f4\u53c2\u6570\u6570\u91cf\u548c\u8ba1\u7b97\u91cf\u7684\u5bf9\u6bd4\u5982\u4e0b\u6240\u793a\uff1a<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/09\/frc-a115e96cfca524c32542502133cf77fc.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/09\/frc-a115e96cfca524c32542502133cf77fc.png\"><\/a><\/section>\n<section><strong>Variance-preserving \u521d\u59cb\u5316<\/strong><\/section>\n<section><\/section>\n<section>\u4f5c\u8005\u65e8\u5728\u521d\u59cb\u5316 Group-Rational KAN \u4e2d\u7684 \ud835\udc4e_\ud835\udc5a\u3001\ud835\udc4f_\ud835\udc5b \u548c \ud835\udc64 \u7684\u503c\uff0c\u5176\u6838\u5fc3\u662f\u9632\u6b62\u6574\u4e2a\u5c42\u4e2d\u7684\u6fc0\u6d3b\u53c2\u6570\u5448\u91cf\u7ea7\u589e\u957f\u6216\u51cf\u5c11\uff0c\u4ece\u800c\u4fdd\u6301\u7a33\u5b9a\u6027\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/09\/frc-aa7714e298694b549cce586b821220d0.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/09\/frc-aa7714e298694b549cce586b821220d0.png\"><\/a><\/section>\n<section><strong>\u5b9e\u9a8c<\/strong><\/section>\n<section><\/section>\n<section>\u5b9e\u9a8c\u4e2d\uff0c\u4f5c\u8005\u4fee\u6539\u4e86\u539f\u59cb ViT \u67b6\u6784\uff0c\u7528 GR-KAN \u5c42\u66ff\u6362\u5176 MLP \u5c42\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/09\/frc-b1d44e24cf96e84f85cadcf906267b29.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/09\/frc-b1d44e24cf96e84f85cadcf906267b29.png\"><\/a><\/section>\n<section><strong>\u56fe\u50cf\u8bc6\u522b<\/strong><\/section>\n<section><\/section>\n<section>\u5b9e\u9a8c\u7ed3\u679c\u8868\u660e\uff0cKAT \u6a21\u578b\u5728 IN-1k\uff08 ImageNet-1K \uff09 \u6570\u636e\u96c6\u4e0a\u7684\u8868\u73b0\u59cb\u7ec8\u4f18\u4e8e\u5176\u4ed6\u6a21\u578b\u3002\u9996\u5148\uff0cGR-KAN \u5728 Transformer \u67b6\u6784\u4e2d\u7684\u8868\u73b0\u4f18\u4e8e\u4f20\u7edf\u7684\u57fa\u4e8e MLP \u7684\u6df7\u5408\u5668\u7684\u6027\u80fd\u3002\u4f8b\u5982\uff0cKAT-S \u6a21\u578b\u7684\u51c6\u786e\u7387\u8fbe\u5230 81.2%\uff0c\u6bd4 DeiT-S \u6a21\u578b\u9ad8\u51fa 2.4%\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/09\/frc-c126e42c7c18c26915feb56562da8fc9.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/09\/frc-c126e42c7c18c26915feb56562da8fc9.png\"><\/a><\/section>\n<section>\u5176\u6b21\uff0c\u539f\u59cb KAN \u5c42\u9762\u4e34\u53ef\u6269\u5c55\u6027\u95ee\u9898\u3002ViT-T\/S + KAN \u7684\u51c6\u786e\u7387\u4ec5\u4e3a 63% \u5de6\u53f3\uff0c\u5373\u4f7f\u8ba1\u7b97\u6210\u672c\u9ad8\u5f97\u591a\u3002ViT-L + KAN \u65e0\u6cd5\u6536\u655b\uff0c\u5bfc\u81f4 NAN \u9519\u8bef\u3002\u672c\u6587\u89e3\u51b3\u4e86\u8fd9\u4e9b\u6269\u5c55\u6311\u6218\uff0c\u4ece\u800c\u4f7f KAT \u6a21\u578b\u80fd\u591f\u6210\u529f\u6269\u5c55\u3002<\/section>\n<section><\/section>\n<section><strong>\u76ee\u6807\u68c0\u6d4b\u548c\u5b9e\u4f8b\u5206\u5272<\/strong><\/section>\n<section><\/section>\n<section>\u8868 6 \u6bd4\u8f83\u4e86\u4e0d\u540c\u9aa8\u5e72\u6a21\u578b\u7684\u6027\u80fd\u3002KAT \u7684\u8868\u73b0\u59cb\u7ec8\u4f18\u4e8e\u5176\u4ed6\u6a21\u578b\uff0c\u5c24\u5176\u662f\u5728\u7269\u4f53\u68c0\u6d4b\u65b9\u9762\uff0c\u4e0e ViTDet \u76f8\u6bd4\uff0c\u5176\u5728 S \u89c4\u6a21\u7684\u6a21\u578b\u4e0a\u5b9e\u73b0\u4e86 3.0 AP^box \u589e\u76ca\uff0c\u5728 L \u89c4\u6a21\u7684\u6a21\u578b\u4e0a\u5b9e\u73b0\u4e86 1.4 AP^box \u589e\u76ca\u3002\u8fd9\u79cd\u6539\u8fdb\u5728\u8f83\u5c0f\u7684\u6a21\u578b\u4e2d\u6700\u4e3a\u660e\u663e\uff0c\u8ba1\u7b97\u6210\u672c\u4ec5\u589e\u52a0\u4e86 1 GFLOP\u3002\u8fd9\u8868\u660e KAT \u4ee5\u6700\u5c0f\u7684\u5f00\u9500\u63d0\u4f9b\u4e86\u66f4\u597d\u7684\u51c6\u786e\u7387\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/09\/frc-d916ca5ec5b5b8981e8e7665c650de50.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/09\/frc-d916ca5ec5b5b8981e8e7665c650de50.png\"><\/a><\/section>\n<section><strong>\u8bed\u4e49\u5206\u5272<\/strong><\/section>\n<section><\/section>\n<section>\u8868 7 \u603b\u7ed3\u4e86\u5206\u5272\u7ed3\u679c\u3002\u603b\u4f53\u800c\u8a00\uff0cKAT \u6bd4\u57fa\u4e8e ViT \u7684\u666e\u901a\u67b6\u6784\u8868\u73b0\u51fa\u4e86\u7ade\u4e89\u4f18\u52bf\uff0c\u6bd4 DeiT-S \u63d0\u9ad8\u4e86 2.4%\uff0c\u6bd4 DeiT-B \u63d0\u9ad8\u4e86 0.2%\u3002\u8fd9\u79cd\u6027\u80fd\u63d0\u5347\u4f34\u968f\u7740\u8ba1\u7b97\u6210\u672c\u7684\u8f7b\u5fae\u589e\u52a0\uff0c\u53cd\u6620\u5728\u66f4\u9ad8\u7684 FLOP \u4e0a\u3002\u4e0e\u68c0\u6d4b\u7ed3\u679c\u7c7b\u4f3c\uff0cKAT \u5728\u8f83\u5c0f\u7684\u6a21\u578b\u4e2d\u663e\u793a\u51fa\u66f4\u663e\u8457\u7684\u6536\u76ca\u3002\u7136\u800c\uff0c\u4e0e\u5177\u6709\u5206\u5c42\u67b6\u6784\u7684\u6a21\u578b\uff08\u5982 ConvNeXt\uff09\u76f8\u6bd4\uff0c\u5b83\u4ecd\u7136\u6709\u6240\u4e0d\u8db3\uff0c\u8fd9\u4e9b\u6a21\u578b\u53d7\u76ca\u4e8e\u66f4\u9ad8\u6548\u7684\u67b6\u6784\u8bbe\u8ba1\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/09\/frc-9c49c610474197a3e6ca85f965da3a45.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/09\/frc-9c49c610474197a3e6ca85f965da3a45.png\"><\/a><\/section>\n<section><strong>\u4f5c\u8005\u4ecb\u7ecd<\/strong><\/section>\n<section><\/section>\n<section>Xingyi Yang \u73b0\u5728\u662f\u65b0\u52a0\u5761\u56fd\u7acb\u5927\u5b66\uff08NUS\uff09\u4e09\u5e74\u7ea7\u535a\u58eb\u751f\uff0c\u5bfc\u5e08\u662f Xinchao Wang \u6559\u6388\uff0c\u8fd9\u7bc7\u8bba\u6587\u5c31\u662f\u5e08\u5f92\u4e24\u4eba\u5408\u4f5c\u5b8c\u6210\u7684\u3002<\/section>\n<section><\/section>\n<section>Xingyi Yang \u4e8e 2021 \u5e74\u5728\u52a0\u5dde\u5927\u5b66\u5723\u5730\u4e9a\u54e5\u5206\u6821\u83b7\u5f97\u7855\u58eb\u5b66\u4f4d\uff0c\u5e76\u4e8e 2019 \u5e74\u5728\u4e1c\u5357\u5927\u5b66\u83b7\u5f97\u8ba1\u7b97\u673a\u79d1\u5b66\u5b66\u58eb\u5b66\u4f4d\u3002<\/section>\n<section><\/section>\n<section>Xinchao Wang 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