{"id":344,"date":"2024-05-05T09:40:24","date_gmt":"2024-05-05T01:40:24","guid":{"rendered":"https:\/\/aitimes.link\/?p=344"},"modified":"2024-05-16T15:04:06","modified_gmt":"2024-05-16T07:04:06","slug":"quan-xin-de-shen-jing-wang-luo-jie-gou-kolmogorov-arnold","status":"publish","type":"post","link":"https:\/\/aitimes.link\/index.php\/2024\/05\/05\/quan-xin-de-shen-jing-wang-luo-jie-gou-kolmogorov-arnold\/","title":{"rendered":"\u5168\u65b0\u7684\u795e\u7ecf\u7f51\u7edc\u7ed3\u6784\u2014\u2014Kolmogorov\u2013Arnold Networks\uff08KAN\uff09"},"content":{"rendered":"\n<p><strong>\u3010\u65b0\u667a\u5143\u5bfc\u8bfb\u3011<\/strong>\u65e0\u9700\u6000\u5ff5MLP\uff0c\u65b0\u7f51\u7edcKAN\u57fa\u4e8e\u67ef\u5c14\u83ab\u54e5\u6d1b\u592b-\u963f\u8bfa\u5fb7\u5b9a\u7406\uff0c\u5e26\u7740\u66f4\u5c11\u7684\u53c2\u6570\u3001\u66f4\u5f3a\u7684\u6027\u80fd\u3001\u66f4\u597d\u7684\u53ef\u89e3\u91ca\u6027\u6765\u4e86\uff0c\u6df1\u5ea6\u5b66\u4e60\u67b6\u6784\u9769\u65b0\u8fdb\u5165\u65b0\u65f6\u4ee3\uff01<\/p>\n\n\n\n<p>\u5f53\u4eca\uff0c\u7edf\u6cbb\u6df1\u5ea6\u5b66\u4e60\u9886\u57df\u7684\u57fa\u7840\u67b6\u6784\u4fbf\u662f\uff0c\u591a\u5c42\u611f\u77e5\u5668\uff08MLP\uff09\u2014\u2014\u5c06\u6fc0\u6d3b\u51fd\u6570\u653e\u7f6e\u5728\u795e\u7ecf\u5143\u4e0a\u3002<\/p>\n\n\n\n<p>\u90a3\u4e48\uff0c\u9664\u6b64\u4e4b\u5916\uff0c\u6211\u4eec\u662f\u5426\u8fd8\u6709\u65b0\u7684\u8def\u7ebf\u53ef\u8d70\uff1f<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"600\" height=\"802\" src=\"https:\/\/aitimes.link\/wp-content\/uploads\/2024\/05\/image.png\" alt=\"\" class=\"wp-image-345\" srcset=\"https:\/\/aitimes.link\/wp-content\/uploads\/2024\/05\/image.png 600w, https:\/\/aitimes.link\/wp-content\/uploads\/2024\/05\/image-224x300.png 224w\" sizes=\"auto, (max-width: 600px) 100vw, 600px\" \/><\/figure>\n\n\n\n<p>\u7814\u7a76\u4eba\u5458\u5bf9MLP\u505a\u4e86\u4e00\u4e2a\u7b80\u5355\u7684\u6539\u53d8\uff0c\u5373\u5c06\u53ef\u5b66\u4e60\u7684\u6fc0\u6d3b\u51fd\u6570\u4ece\u8282\u70b9\uff08\u795e\u7ecf\u5143\uff09\u79fb\u5230\u8fb9\uff08\u6743\u91cd\uff09\u4e0a\uff01<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"429\" src=\"https:\/\/aitimes.link\/wp-content\/uploads\/2024\/05\/image-1-1024x429.png\" alt=\"\" class=\"wp-image-346\" srcset=\"https:\/\/aitimes.link\/wp-content\/uploads\/2024\/05\/image-1-1024x429.png 1024w, https:\/\/aitimes.link\/wp-content\/uploads\/2024\/05\/image-1-300x126.png 300w, https:\/\/aitimes.link\/wp-content\/uploads\/2024\/05\/image-1-768x321.png 768w, https:\/\/aitimes.link\/wp-content\/uploads\/2024\/05\/image-1.png 1080w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p>\u8bba\u6587\u5730\u5740\uff1ahttps:\/\/arxiv.org\/pdf\/2404.19756<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"667\" src=\"https:\/\/aitimes.link\/wp-content\/uploads\/2024\/05\/image-2-1024x667.png\" alt=\"\" class=\"wp-image-347\" srcset=\"https:\/\/aitimes.link\/wp-content\/uploads\/2024\/05\/image-2-1024x667.png 1024w, https:\/\/aitimes.link\/wp-content\/uploads\/2024\/05\/image-2-300x196.png 300w, https:\/\/aitimes.link\/wp-content\/uploads\/2024\/05\/image-2-768x501.png 768w, https:\/\/aitimes.link\/wp-content\/uploads\/2024\/05\/image-2.png 1080w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p><a href=\"https:\/\/www.36kr.com\/p\/2778010622644867\">https:\/\/www.36kr.com\/p\/2778010622644867<\/a>  <\/p>\n\n\n\n<p><strong>1\uff09KAN\u7684\u6570\u5b66\u539f\u7406\uff1aKART\u5b9a\u7406<\/strong><\/p>\n\n\n\n<p>KAN\u7684\u5168\u79f0\u662fKolmogorov\u2013Arnold Network\uff0c\u81f4\u656c\u4e86\u4e24\u4f4d\u4f1f\u5927\u7684\u5df2\u6545\u6570\u5b66\u5bb6\uff0c\u5176\u80cc\u540e\u7684\u6838\u5fc3\u601d\u60f3\u662fKolmogorov\u2013Arnold\u8868\u793a\u5b9a\u7406\uff0c\u5373KART\uff08Kolmogorov\u2013Arnold Representation Theorem\uff09\u3002<\/p>\n\n\n\n<p>KART\u7684\u6838\u5fc3\u601d\u60f3\u662f\uff1a\u5bf9\u4e8e\u4efb\u4f55\u4e00\u4e2a\u591a\u5143\u8fde\u7eed\u51fd\u6570\uff0c\u90fd\u80fd\u591f\u8868\u793a\u4e3a\u6709\u9650\u4e2a\u5355\u53d8\u91cf\u51fd\u6570\u548c\u52a0\u6cd5\u7684\u7ec4\u5408\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/img.36krcdn.com\/hsossms\/20240516\/v2_19b95a9ee964471a9f7f17cd8ec06632@541143641_oswg103520oswg1080oswg577_img_000?x-oss-process=image\/format,jpg\/interlace,1\/format,jpg\/interlace,1\/format,jpg\/interlace,1\" alt=\"\"\/><\/figure>\n\n\n\n<p>\u6570\u5b66\u5b9a\u7406\u8bfb\u8d77\u6765\u6bd4\u8f83\u62d7\u53e3\uff0c\u4f46\u5982\u679c\u628a\u5b83\u56fe\u793a\u5316\u51fa\u6765\uff0c\u5c31\u5f88\u5bb9\u6613\u5f04\u61c2\u3002<\/p>\n\n\n\n<p>\u5047\u8bbe\u6709\u4e00\u4e2a\u591a\u5143\u8fde\u7eed\u51fd\u6570y=f(x1,x2)\uff0c\u5b83\u53ef\u4ee5\u8868\u8fbe\u4e3a\u4e00\u4e2a\u6709\u77402\u4e2ainput\uff08x1\u548cx2\uff09\u3001\u4e00\u4e2aoutput\uff08y\uff09\u3001\u4ee5\u53ca5\u4e2a\u9690\u85cf\u5c42\u795e\u7ecf\u5143\u7684Kolmogorov Network\u3002\u9690\u85cf\u5c42\u795e\u7ecf\u5143\u6570\u91cf\u4e3a2n+1=5\uff0c\u8fd9\u91cc\u7684n\u6307\u7684\u662finput\u53d8\u91cf\u7684\u4e2a\u6570\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" 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class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/img.36krcdn.com\/hsossms\/20240516\/v2_dc7ca973b9994df7aefa1a5d4b37ed4a@541143641_oswg137903oswg900oswg499_img_000?x-oss-process=image\/format,jpg\/interlace,1\/format,jpg\/interlace,1\/format,jpg\/interlace,1\" alt=\"\"\/><\/figure>\n\n\n\n<p>\u81f3\u6b64\uff0c\u6211\u4eec\u5c06f(x1,x2)\u7684KART\u8868\u793a\uff0c\u8f6c\u5316\u6210\u4e86\u4e00\u4e2a\u4e24\u5c42KAN\u7f51\u7edc\uff0c\u5e76\u4e14\u8fdb\u884c\u4e86\u53ef\u89c6\u5316\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u3010\u65b0\u667a\u5143\u5bfc\u8bfb\u3011\u65e0\u9700\u6000\u5ff5MLP\uff0c\u65b0\u7f51\u7edcKAN\u57fa\u4e8e\u67ef\u5c14\u83ab\u54e5\u6d1b\u592b-\u963f\u8bfa\u5fb7\u5b9a\u7406\uff0c\u5e26\u7740\u66f4\u5c11\u7684\u53c2\u6570\u3001\u66f4\u5f3a\u7684\u6027\u80fd\u3001\u66f4\u597d\u7684\u53ef\u89e3 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[6],"tags":[],"class_list":["post-344","post","type-post","status-publish","format-standard","hentry","category-ai"],"_links":{"self":[{"href":"https:\/\/aitimes.link\/index.php\/wp-json\/wp\/v2\/posts\/344","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/aitimes.link\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/aitimes.link\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/aitimes.link\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/aitimes.link\/index.php\/wp-json\/wp\/v2\/comments?post=344"}],"version-history":[{"count":3,"href":"https:\/\/aitimes.link\/index.php\/wp-json\/wp\/v2\/posts\/344\/revisions"}],"predecessor-version":[{"id":353,"href":"https:\/\/aitimes.link\/index.php\/wp-json\/wp\/v2\/posts\/344\/revisions\/353"}],"wp:attachment":[{"href":"https:\/\/aitimes.link\/index.php\/wp-json\/wp\/v2\/media?parent=344"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/aitimes.link\/index.php\/wp-json\/wp\/v2\/categories?post=344"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/aitimes.link\/index.php\/wp-json\/wp\/v2\/tags?post=344"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}