{"id":5297,"date":"2024-12-11T17:27:20","date_gmt":"2024-12-11T09:27:20","guid":{"rendered":"https:\/\/nullthought.net\/?p=5297"},"modified":"2025-02-23T11:08:03","modified_gmt":"2025-02-23T03:08:03","slug":"%e9%80%9a%e8%bf%87%e5%9b%be%e7%ae%97%e6%b3%95%ef%bc%88graph-algorithms%ef%bc%89%e7%a0%94%e7%a9%b6%e5%92%8c%e7%90%86%e8%a7%a3transformer%e7%9a%84%e6%8e%a8%e7%90%86%e8%83%bd%e5%8a%9b","status":"publish","type":"post","link":"https:\/\/nullthought.net\/?p=5297","title":{"rendered":"\u901a\u8fc7\u56fe\u7b97\u6cd5\uff08Graph Algorithms\uff09\u7814\u7a76\u548c\u7406\u89e3Transformer\u7684\u63a8\u7406\u80fd\u529b"},"content":{"rendered":"\n<p>\u8bba\u6587<strong><a href=\"https:\/\/arxiv.org\/abs\/2405.18512\" target=\"_blank\" rel=\"noreferrer noopener\">Understanding Transformer Reasoning Capabilities via Graph Algorithms<\/a><\/strong>\u300a\u901a\u8fc7\u56fe\u7b97\u6cd5\u7406\u89e3 Transformer \u7684\u63a8\u7406\u80fd\u529b\u300b\u4e3b\u8981\u63a2\u7d22\u4e86Transformer \u5728\u89e3\u51b3\u56fe\u63a8\u7406\u4efb\u52a1\u65f6\u7684\u7406\u8bba\u4e0e\u5b9e\u8df5\u8868\u73b0\u3002Transformer\u80fd\u591f\u9ad8\u6548\u89e3\u51b3\u8bb8\u591a\u590d\u6742\u7684\u56fe\u63a8\u7406\u4efb\u52a1\uff0c\u5c24\u5176\u662f\u5728\u5168\u5c40\u63a8\u7406\u4efb\u52a1\u4e2d\u8868\u73b0\u4f18\u5f02\u3002<\/p>\n\n\n\n<p>\u8bba\u6587\u4f5c\u8005\u4e3aClayton Sanford, Bahare Fatemi, Ethan Hall, Anton Tsitsulin, Mehran Kazemi, Jonathan Halcrow, Bryan Perozzi, Vahab Mirrokni\uff0c\u5747\u6765\u81eaGoogle\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"907\" height=\"541\" src=\"https:\/\/nullthought.net\/wp-content\/uploads\/2024\/12\/image-10.png\" alt=\"\" class=\"wp-image-5298\" srcset=\"https:\/\/nullthought.net\/wp-content\/uploads\/2024\/12\/image-10.png 907w, https:\/\/nullthought.net\/wp-content\/uploads\/2024\/12\/image-10-300x179.png 300w, https:\/\/nullthought.net\/wp-content\/uploads\/2024\/12\/image-10-768x458.png 768w\" sizes=\"auto, (max-width: 907px) 100vw, 907px\" \/><figcaption class=\"wp-element-caption\"><strong><a href=\"https:\/\/arxiv.org\/abs\/2405.18512\" target=\"_blank\" rel=\"noreferrer noopener\">Understanding Transformer Reasoning Capabilities via Graph Algorithms<\/a><\/strong><\/figcaption><\/figure>\n\n\n\n<h4 class=\"wp-block-heading\">\u4e00\u3001<strong>\u80cc\u666f<\/strong><\/h4>\n\n\n\n<p><a href=\"https:\/\/arxiv.org\/abs\/1706.03762\" target=\"_blank\" rel=\"noreferrer noopener\">Transformer \u81ea\u63d0\u51fa\u4ee5\u6765<\/a>\uff0c\u5df2\u7ecf\u6210\u4e3a\u6df1\u5ea6\u5b66\u4e60\u9886\u57df\u7684\u652f\u67f1\u6027\u67b6\u6784\uff0c\u5e7f\u6cdb\u5e94\u7528\u4e8e\u81ea\u7136\u8bed\u8a00\u5904\u7406\uff08NLP\uff09\u3001\u8ba1\u7b97\u673a\u89c6\u89c9\uff08CV\uff09\u53ca\u5176\u4ed6\u5b66\u79d1\u3002\u7136\u800c\uff0c\u5c3d\u7ba1 Transformer \u5728\u8bf8\u591a\u5e94\u7528\u573a\u666f\u4e2d\u8868\u73b0\u5353\u8d8a\uff0c\u5176\u63a8\u7406\u80fd\u529b\u5728\u7406\u8bba\u4e0a\u7684\u7406\u89e3\u4ecd\u7136\u6709\u9650\uff0c\u5c24\u5176\u662f\u5173\u4e8e\u5176\u80fd\u5426\u5728\u5408\u7406\u7684\u53c2\u6570\u89c4\u6a21\u4e0b\u89e3\u51b3\u590d\u6742\u7b97\u6cd5\u95ee\u9898\u3002<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u4e3a\u4f55\u7814\u7a76\u56fe\u63a8\u7406\u4efb\u52a1\uff1f<\/strong> \u56fe\u662f\u8868\u8fbe\u590d\u6742\u5173\u7cfb\u548c\u4f9d\u8d56\u7684\u6838\u5fc3\u62bd\u8c61\u5f62\u5f0f\uff0c\u5176\u5e94\u7528\u573a\u666f\u6db5\u76d6\u793e\u4ea4\u7f51\u7edc\u5206\u6790\u3001\u751f\u7269\u4fe1\u606f\u5b66\u3001\u7269\u6d41\u4f18\u5316\u7b49\u3002\u901a\u8fc7\u5206\u6790 Transformer \u5728\u56fe\u63a8\u7406\u4efb\u52a1\u4e0a\u7684\u8868\u73b0\uff0c\u53ef\u4ee5\u6df1\u5165\u7406\u89e3\u5176\u5728\u5904\u7406\u5e26\u6709\u590d\u6742\u5173\u7cfb\u6570\u636e\u65f6\u7684\u80fd\u529b\u3002<\/li>\n\n\n\n<li><strong>\u4e0e\u56fe\u795e\u7ecf\u7f51\u7edc\uff08Graph Neural Networks<\/strong>, <strong>GNN\uff09\u5bf9\u6bd4\uff1a<\/strong> \u56fe\u795e\u7ecf\u7f51\u7edc\uff08\u5982 GCN\u3001GIN\uff09\u662f\u4e00\u7c7b\u4e13\u95e8\u8bbe\u8ba1\u7528\u4e8e\u56fe\u6570\u636e\u7684\u6a21\u578b\uff0c\u80fd\u591f\u9ad8\u6548\u6355\u83b7\u5c40\u90e8\u90bb\u57df\u4fe1\u606f\u3002\u7136\u800c\uff0cGNN \u5728\u5904\u7406\u5168\u5c40\u4fe1\u606f\uff08\u5982\u56fe\u8fde\u901a\u6027\uff09\u65f6\u5b58\u5728\u663e\u8457\u5c40\u9650\u6027\uff0c\u4e14\u5176\u8868\u8fbe\u80fd\u529b\u53d7\u9650\u4e8e Weisfeiler-Lehman\uff08WL\uff09\u56fe\u540c\u6784\u6d4b\u8bd5\u3002<\/li>\n<\/ul>\n\n\n\n<h4 class=\"wp-block-heading\">\u4e8c\u3001<strong>\u7814\u7a76\u52a8\u673a<\/strong><\/h4>\n\n\n\n<p>\u8bba\u6587\u7684\u4e3b\u8981\u76ee\u6807\u662f\u63a2\u7d22 Transformer \u5728\u89e3\u51b3\u56fe\u63a8\u7406\u4efb\u52a1\u65f6\u7684\u7406\u8bba\u4e0e\u5b9e\u8df5\u8868\u73b0\uff0c\u4e3b\u8981\u95ee\u9898\u5305\u62ec\uff1a<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>\u7406\u8bba\u80fd\u529b<\/strong>\uff1aTransformer \u5728\u591a\u5927\u6df1\u5ea6\u3001\u5bbd\u5ea6\u6216\u5176\u4ed6\u53c2\u6570\u9650\u5236\u4e0b\u80fd\u591f\u89e3\u51b3\u54ea\u4e9b\u56fe\u63a8\u7406\u95ee\u9898\uff1f<\/li>\n\n\n\n<li><strong>\u4efb\u52a1\u5206\u7c7b<\/strong>\uff1a\u56fe\u63a8\u7406\u4efb\u52a1\u5982\u4f55\u6839\u636e\u8ba1\u7b97\u590d\u6742\u5ea6\u5206\u7c7b\uff1f\u4e0d\u540c\u7c7b\u522b\u7684\u4efb\u52a1\u5bf9 Transformer \u7684\u8981\u6c42\u5982\u4f55\uff1f<\/li>\n\n\n\n<li><strong>\u4e0e GNN \u6bd4\u8f83<\/strong>\uff1aTransformer \u5728\u5904\u7406\u56fe\u6570\u636e\u65f6\u662f\u5426\u5177\u6709\u663e\u8457\u4f18\u52bf\uff0c\u5c24\u5176\u662f\u5728\u5168\u5c40\u4fe1\u606f\u63a8\u7406\u4efb\u52a1\u4e2d\uff1f<\/li>\n<\/ol>\n\n\n\n<h4 class=\"wp-block-heading\">\u4e09\u3001<strong>\u4e3b\u8981\u8d21\u732e<\/strong><\/h4>\n\n\n\n<p>\u8bba\u6587\u7684\u6838\u5fc3\u8d21\u732e\u5305\u62ec\uff1a<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>\u63d0\u51fa\u4e86\u4e00\u4e2a\u65b0\u7684\u56fe\u63a8\u7406\u4efb\u52a1\u590d\u6742\u6027\u5c42\u6b21\u7ed3\u6784<\/strong>\uff1a\n<ul class=\"wp-block-list\">\n<li>\u5c06\u56fe\u63a8\u7406\u4efb\u52a1\u5212\u5206\u4e3a\u4e09\u7c7b\uff1a\n<ul class=\"wp-block-list\">\n<li><strong>\u68c0\u7d22\u4efb\u52a1\uff08Retrieval Tasks\uff09<\/strong>\uff1a\u5982\u8282\u70b9\u8ba1\u6570\u3001\u8fb9\u8ba1\u6570\uff0c\u8fd9\u4e9b\u4efb\u52a1\u53ea\u9700\u7b80\u5355\u67e5\u627e\u6216\u5168\u5c40\u805a\u5408\u3002<\/li>\n\n\n\n<li><strong>\u53ef\u5e76\u884c\u4efb\u52a1\uff08Parallelizable Tasks\uff09<\/strong>\uff1a\u5982\u8fde\u901a\u6027\u68c0\u6d4b\u3001\u5faa\u73af\u68c0\u6d4b\uff0c\u8fd9\u4e9b\u4efb\u52a1\u53ef\u4ee5\u901a\u8fc7\u5e76\u884c\u8ba1\u7b97\u9ad8\u6548\u89e3\u51b3\u3002<\/li>\n\n\n\n<li><strong>\u641c\u7d22\u4efb\u52a1\uff08Search Tasks\uff09<\/strong>\uff1a\u5982\u6700\u77ed\u8def\u5f84\u3001\u56fe\u76f4\u5f84\u8ba1\u7b97\uff0c\u9700\u8981\u66f4\u590d\u6742\u7684\u641c\u7d22\u7b97\u6cd5\u3002<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>\u63d0\u51fa\u4e86 Transformer \u5728\u4e0d\u540c\u53c2\u6570\u89c4\u6a21\u4e0b\u7684\u9002\u7528\u6027\uff0c\u5982\u5bf9\u6570\u6df1\u5ea6\uff08LogDepth\uff09\u3001\u5bbd\u5d4c\u5165\u7ef4\u5ea6\uff08LogDepthWide\uff09\u7b49\u3002<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>\u7406\u8bba\u8bc1\u660e<\/strong>\uff1a\n<ul class=\"wp-block-list\">\n<li><strong>\u5bf9\u6570\u6df1\u5ea6 Transformer<\/strong> \u8db3\u4ee5\u9ad8\u6548\u89e3\u51b3\u53ef\u5e76\u884c\u4efb\u52a1\u3002<\/li>\n\n\n\n<li>\u641c\u7d22\u4efb\u52a1\u9700\u8981\u66f4\u9ad8\u7684\u6a21\u578b\u5bb9\u91cf\u6216\u66f4\u5bbd\u7684\u5d4c\u5165\u7ef4\u5ea6\u3002<\/li>\n\n\n\n<li>\u68c0\u7d22\u4efb\u52a1\u53ef\u4ee5\u7531\u5355\u5c42 Transformer \u89e3\u51b3\u3002<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>\u5b9e\u9a8c\u9a8c\u8bc1<\/strong>\uff1a\n<ul class=\"wp-block-list\">\n<li>\u5728 GraphQA \u6570\u636e\u96c6\u4e0a\u9a8c\u8bc1\u4e86\u7406\u8bba\u7ed3\u8bba\uff0c<strong>\u8868\u660e Transformer \u5728\u5168\u5c40\u63a8\u7406\u4efb\u52a1\u4e2d\u8868\u73b0\u4f18\u4e8e GNN\u3002<\/strong><\/li>\n\n\n\n<li>\u5728\u5c0f\u6837\u672c\u573a\u666f\u4e2d\uff0cGNN \u51ed\u501f\u5176\u5c40\u90e8\u5f52\u7eb3\u504f\u7f6e\u5177\u6709\u4f18\u52bf\u3002<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>\u4e0e GNN \u6bd4\u8f83<\/strong>\uff1a\n<ul class=\"wp-block-list\">\n<li>Transformer \u80fd\u6a21\u62df GNN \u7684\u884c\u4e3a\uff0c\u540c\u65f6\u5728\u8868\u8fbe\u80fd\u529b\u4e0a\u8d85\u8d8a GNN\uff0c\u5c24\u5176\u662f 2-WL \u6d4b\u8bd5\u3002<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n<h4 class=\"wp-block-heading\">\u56db\u3001<strong>\u7814\u7a76\u65b9\u6cd5<\/strong><\/h4>\n\n\n\n<h5 class=\"wp-block-heading\">\u4e00\uff09\u56fe\u63a8\u7406\u4efb\u52a1\u5b9a\u4e49<\/h5>\n\n\n\n<p>\u8bba\u6587\u91cd\u70b9\u7814\u7a76\u4e86\u4ee5\u4e0b\u57fa\u7840\u56fe\u63a8\u7406\u4efb\u52a1\uff1a<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>\u68c0\u7d22\u4efb\u52a1<\/strong>\uff1a\n<ul class=\"wp-block-list\">\n<li>\u8282\u70b9\u8ba1\u6570\uff1a\u8ba1\u7b97\u56fe\u4e2d\u8282\u70b9\u7684\u603b\u6570\u3002<\/li>\n\n\n\n<li>\u8fb9\u8ba1\u6570\uff1a\u8ba1\u7b97\u56fe\u4e2d\u8fb9\u7684\u603b\u6570\u3002<\/li>\n\n\n\n<li>\u8fb9\u5b58\u5728\u6027\uff1a\u5224\u65ad\u4e24\u8282\u70b9\u4e4b\u95f4\u662f\u5426\u5b58\u5728\u8fb9\u3002<\/li>\n\n\n\n<li>\u8282\u70b9\u5ea6\uff1a\u8ba1\u7b97\u67d0\u8282\u70b9\u7684\u5ea6\u6570\u3002<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>\u53ef\u5e76\u884c\u4efb\u52a1<\/strong>\uff1a\n<ul class=\"wp-block-list\">\n<li>\u8fde\u901a\u6027\u68c0\u6d4b\uff1a\u5224\u65ad\u4e24\u8282\u70b9\u662f\u5426\u8fde\u901a\u3002<\/li>\n\n\n\n<li>\u5faa\u73af\u68c0\u6d4b\uff1a\u5224\u65ad\u56fe\u4e2d\u662f\u5426\u5b58\u5728\u5faa\u73af\u3002<\/li>\n\n\n\n<li>\u4e8c\u5206\u56fe\u68c0\u6d4b\uff1a\u5224\u65ad\u56fe\u662f\u5426\u662f\u4e8c\u5206\u56fe\u3002<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>\u641c\u7d22\u4efb\u52a1<\/strong>\uff1a\n<ul class=\"wp-block-list\">\n<li>\u6700\u77ed\u8def\u5f84\uff1a\u8ba1\u7b97\u4e24\u8282\u70b9\u4e4b\u95f4\u7684\u6700\u77ed\u8def\u5f84\u3002<\/li>\n\n\n\n<li>\u56fe\u76f4\u5f84\uff1a\u8ba1\u7b97\u56fe\u4e2d\u6700\u957f\u7684\u6700\u77ed\u8def\u5f84\u3002<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n<h5 class=\"wp-block-heading\">\u4e8c\uff09\u56fe\u6570\u636e\u7684\u7f16\u7801\u65b9\u5f0f<\/h5>\n\n\n\n<p>\u8bba\u6587\u91c7\u7528\u4e86\u4e00\u79cd\u57fa\u4e8e\u4ee4\u724c\u5316\u7684\u56fe\u7f16\u7801\u65b9\u5f0f\uff0c\u5c06\u56fe\u7684\u8282\u70b9\u3001\u8fb9\u53ca\u4efb\u52a1\u4fe1\u606f\u8f6c\u5316\u4e3a\u5e8f\u5217\u8f93\u5165 Transformer\u3002\u8fd9\u79cd\u65b9\u6cd5\u7c7b\u4f3c\u4e8e NLP \u4e2d\u7684\u8f93\u5165\u5904\u7406\u65b9\u5f0f\uff0c\u4f7f Transformer \u80fd\u591f\u76f4\u63a5\u5904\u7406\u56fe\u6570\u636e\u3002<\/p>\n\n\n\n<h5 class=\"wp-block-heading\">\u4e09\uff09Transformer \u6a21\u578b\u7684\u7406\u8bba\u5047\u8bbe<\/h5>\n\n\n\n<p>\u8bba\u6587\u5728\u7406\u8bba\u4e0a\u5bf9 Transformer \u6a21\u578b\u7684\u80fd\u529b\u8fdb\u884c\u4e86\u5efa\u6a21\uff0c\u6838\u5fc3\u5047\u8bbe\u5305\u62ec\uff1a<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>\u6709\u9650\u5d4c\u5165\u7ef4\u5ea6<\/strong>\uff1a\u6a21\u578b\u7684\u5d4c\u5165\u7ef4\u5ea6\u4e0e\u56fe\u7684\u5927\u5c0f\u5448\u6b21\u7ebf\u6027\u5173\u7cfb\u3002<\/li>\n\n\n\n<li><strong>\u4f4e\u79e9\u81ea\u6ce8\u610f\u529b\u77e9\u9635<\/strong>\uff1a\u6ce8\u610f\u529b\u673a\u5236\u9650\u5236\u4e86 Transformer \u7684\u4fe1\u606f\u4ea4\u4e92\u80fd\u529b\u3002<\/li>\n\n\n\n<li><strong>\u6682\u505c\u4ee4\u724c\uff08Pause Tokens\uff09<\/strong>\uff1a\u901a\u8fc7\u589e\u52a0\u7a7a\u767d\u4ee4\u724c\u6269\u5c55 Transformer \u7684\u8ba1\u7b97\u80fd\u529b\u3002<\/li>\n<\/ol>\n\n\n\n<h4 class=\"wp-block-heading\">\u4e94\u3001<strong>\u7406\u8bba\u5206\u6790<\/strong><\/h4>\n\n\n\n<p>\u8bba\u6587\u901a\u8fc7\u7406\u8bba\u8bc1\u660e\u4e86 Transformer \u5bf9\u4e0d\u540c\u7c7b\u522b\u4efb\u52a1\u7684\u9002\u7528\u6027\uff1a<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>\u68c0\u7d22\u4efb\u52a1<\/strong>\uff1a\n<ul class=\"wp-block-list\">\n<li>\u5355\u5c42 Transformer \u8db3\u4ee5\u89e3\u51b3\u6b64\u7c7b\u4efb\u52a1\uff0c\u56e0\u4e3a\u5b83\u4eec\u53ea\u9700\u7b80\u5355\u7684\u805a\u5408\u6216\u67e5\u627e\u64cd\u4f5c\u3002<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>\u53ef\u5e76\u884c\u4efb\u52a1<\/strong>\uff1a\n<ul class=\"wp-block-list\">\n<li>Transformer \u53ef\u4ee5\u9ad8\u6548\u5e76\u884c\u6a21\u62df\u8fd9\u4e9b\u4efb\u52a1\uff0c\u5982\u8fde\u901a\u6027\u68c0\u6d4b\u53ef\u4ee5\u901a\u8fc7\u5bf9\u6570\u6df1\u5ea6 Transformer \u5b8c\u6210\u3002<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>\u641c\u7d22\u4efb\u52a1<\/strong>\uff1a\n<ul class=\"wp-block-list\">\n<li>\u641c\u7d22\u4efb\u52a1\u9700\u8981\u66f4\u5927\u7684\u6a21\u578b\u5bb9\u91cf\uff0c\u5c24\u5176\u662f\u66f4\u5bbd\u7684\u5d4c\u5165\u7ef4\u5ea6\u6216\u66f4\u6df1\u7684\u7f51\u7edc\u3002<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n<p>\u8bba\u6587\u501f\u52a9\u5927\u89c4\u6a21\u5e76\u884c\u8ba1\u7b97\uff08MPC\uff09\u6a21\u578b\uff0c\u5c06 Transformer \u7684\u80fd\u529b\u4e0e\u7ecf\u5178\u7b97\u6cd5\u7684\u5e76\u884c\u5b9e\u73b0\u8fdb\u884c\u7c7b\u6bd4\u3002\u901a\u8fc7\u8bc1\u660e Transformer \u53ef\u4ee5\u9ad8\u6548\u6a21\u62df MPC \u534f\u8bae\uff0c\u9a8c\u8bc1\u4e86\u5176\u5728\u56fe\u63a8\u7406\u4efb\u52a1\u4e2d\u7684\u7406\u8bba\u6027\u80fd\u3002<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">\u516d\u3001<strong>\u5b9e\u9a8c\u8bbe\u8ba1<\/strong><\/h4>\n\n\n\n<p>\u8bba\u6587\u4f7f\u7528 GraphQA \u6570\u636e\u96c6\u5bf9\u7406\u8bba\u7ed3\u679c\u8fdb\u884c\u4e86\u5b9e\u9a8c\u9a8c\u8bc1\uff0c\u5b9e\u9a8c\u5305\u542b\u4ee5\u4e0b\u5185\u5bb9\uff1a<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>\u6a21\u578b\u5bf9\u6bd4<\/strong>\uff1a\n<ul class=\"wp-block-list\">\n<li>\u5c0f\u578b Transformer\uff0860M \u53c2\u6570\uff09\u3002<\/li>\n\n\n\n<li>\u5927\u578b\u9884\u8bad\u7ec3 Transformer\uff08T5\uff0c11B \u53c2\u6570\uff09\u3002<\/li>\n\n\n\n<li>\u7ecf\u5178 GNN \u6a21\u578b\uff08GCN\u3001MPNN\u3001GIN\uff09\u3002<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>\u4efb\u52a1\u8303\u56f4<\/strong>\uff1a\n<ul class=\"wp-block-list\">\n<li>\u8986\u76d6\u68c0\u7d22\u4efb\u52a1\u3001\u53ef\u5e76\u884c\u4efb\u52a1\u53ca\u641c\u7d22\u4efb\u52a1\u3002<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>\u8bc4\u4f30\u6307\u6807<\/strong>\uff1a\n<ul class=\"wp-block-list\">\n<li>\u51c6\u786e\u7387\uff08Accuracy\uff09\u3002<\/li>\n\n\n\n<li>\u8bad\u7ec3\u6837\u672c\u6570\u91cf\u7684\u5f71\u54cd\u3002<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n<h5 class=\"wp-block-heading\">\u5b9e\u9a8c\u7ed3\u679c\uff1a<\/h5>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Transformer \u5728\u5168\u5c40\u63a8\u7406\u4efb\u52a1\u4e2d\u7684\u8868\u73b0<\/strong>\uff1a\n<ul class=\"wp-block-list\">\n<li>\u5728\u8fde\u901a\u6027\u68c0\u6d4b\u4efb\u52a1\u4e2d\uff0c\u5c0f\u578b Transformer \u968f\u7740\u8bad\u7ec3\u6837\u672c\u6570\u91cf\u589e\u52a0\uff0c\u5176\u51c6\u786e\u7387\u8fc5\u901f\u63d0\u9ad8\uff0c\u6700\u7ec8\u8d85\u8fc7 GNN\u3002<\/li>\n\n\n\n<li>\u5728\u6700\u77ed\u8def\u5f84\u4efb\u52a1\u4e2d\uff0c\u9884\u8bad\u7ec3\u7684\u5927\u578b Transformer \u8868\u73b0\u4f18\u4e8e\u6240\u6709 GNN\u3002<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>GNN \u5728\u672c\u5730\u63a8\u7406\u4efb\u52a1\u4e2d\u7684\u4f18\u52bf<\/strong>\uff1a\n<ul class=\"wp-block-list\">\n<li>\u5728\u8282\u70b9\u5ea6\u6570\u8ba1\u7b97\u548c\u5faa\u73af\u68c0\u6d4b\u4efb\u52a1\u4e2d\uff0cGNN \u5728\u5c0f\u6837\u672c\u573a\u666f\u4e0b\u4f18\u4e8e Transformer\uff0c\u5f52\u56e0\u4e8e\u5176\u5c40\u90e8\u5f52\u7eb3\u504f\u7f6e\u3002<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>\u63d0\u793a\u65b9\u6cd5\u7684\u5c40\u9650\u6027<\/strong>\uff1a\n<ul class=\"wp-block-list\">\n<li>\u63d0\u793a\u65b9\u6cd5\uff08\u5982\u96f6\u6837\u672c\u3001\u5c11\u6837\u672c\uff09\u5728\u89e3\u51b3\u56fe\u63a8\u7406\u4efb\u52a1\u65f6\u6027\u80fd\u663e\u8457\u4f4e\u4e8e\u4e13\u95e8\u8bad\u7ec3\u7684 Transformer\u3002<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n<h4 class=\"wp-block-heading\">\u4e03\u3001<strong>\u7ed3\u8bba\u4e0e\u672a\u6765\u65b9\u5411<\/strong><\/h4>\n\n\n\n<h5 class=\"wp-block-heading\">\u4e00\uff09\u7ed3\u8bba<\/h5>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Transformer \u80fd\u591f\u9ad8\u6548\u89e3\u51b3\u8bb8\u591a\u590d\u6742\u7684\u56fe\u63a8\u7406\u4efb\u52a1\uff0c\u5c24\u5176\u662f\u5728\u5168\u5c40\u63a8\u7406\u4efb\u52a1\u4e2d\u8868\u73b0\u4f18\u5f02\u3002<\/li>\n\n\n\n<li>\u7406\u8bba\u4e0e\u5b9e\u9a8c\u7ed3\u679c\u4e00\u81f4\uff0c\u8bc1\u660e\u4e86\u5bf9\u6570\u6df1\u5ea6 Transformer \u7684\u8868\u8fbe\u80fd\u529b\u3002<\/li>\n\n\n\n<li>GNN \u5728\u5c0f\u6837\u672c\u4efb\u52a1\u4e2d\u6709\u4f18\u52bf\uff0c\u4f46\u5728\u5927\u89c4\u6a21\u6570\u636e\u573a\u666f\u4e0b\u96be\u4ee5\u4e0e Transformer \u7ade\u4e89\u3002<\/li>\n<\/ol>\n\n\n\n<h5 class=\"wp-block-heading\">\u4e8c\uff09\u672a\u6765\u7814\u7a76\u65b9\u5411<\/h5>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>\u6269\u5c55\u4efb\u52a1\u8303\u56f4<\/strong>\uff1a\u63a2\u7d22\u66f4\u591a\u7c7b\u578b\u7684\u7b97\u6cd5\u95ee\u9898\u53ca\u5176\u5bf9 Transformer \u8868\u8fbe\u80fd\u529b\u7684\u8981\u6c42\u3002<\/li>\n\n\n\n<li><strong>\u6a21\u578b\u4f18\u5316<\/strong>\uff1a\u7814\u7a76\u5177\u6709\u6709\u9650 MLP \u5355\u5143\u7684 Transformer \u5728\u5b9e\u9645\u4efb\u52a1\u4e2d\u7684\u8868\u73b0\u3002<\/li>\n\n\n\n<li><strong>\u5b66\u4e60\u80fd\u529b\u5206\u6790<\/strong>\uff1a\u8fdb\u4e00\u6b65\u5206\u6790 Transformer \u5728\u5c0f\u6837\u672c\u5b66\u4e60\u4efb\u52a1\u4e2d\u7684\u9002\u7528\u6027\u3002<\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"<p>\u8bba\u6587Understanding Transformer Reasoning Capabilities via  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