{"id":1442,"date":"2026-04-27T11:57:13","date_gmt":"2026-04-27T03:57:13","guid":{"rendered":"http:\/\/www.sdjxsjy.com\/?p=1442"},"modified":"2026-04-24T11:57:54","modified_gmt":"2026-04-24T03:57:54","slug":"%e5%9f%ba%e4%ba%8e%e5%9b%be%e7%a5%9e%e7%bb%8f%e7%bd%91%e7%bb%9c%e7%9a%84%e9%9d%9e%e6%a0%87%e8%a3%85%e9%85%8d%e5%ba%8f%e5%88%97%e8%a7%84%e5%88%92%e4%b8%8e%e5%8f%af%e8%a3%85%e9%85%8d%e6%80%a7%e9%aa%8c","status":"publish","type":"post","link":"http:\/\/www.sdjxsjy.com\/?p=1442","title":{"rendered":"\u57fa\u4e8e\u56fe\u795e\u7ecf\u7f51\u7edc\u7684\u975e\u6807\u88c5\u914d\u5e8f\u5217\u89c4\u5212\u4e0e\u53ef\u88c5\u914d\u6027\u9a8c\u8bc1\u65b9\u6cd5"},"content":{"rendered":"\n<p>\u975e\u6807\u4ea7\u54c1\u7684\u88c5\u914d\u5e8f\u5217\u89c4\u5212\u9762\u4e34\u96f6\u90e8\u4ef6\u79cd\u7c7b\u591a\u3001\u914d\u5408\u5173\u7cfb\u590d\u6742\u4e14\u6279\u6b21\u591a\u53d8\u7b49\u6311\u6218\uff0c\u4f20\u7edf\u57fa\u4e8e\u89c4\u5219\u6216\u641c\u7d22\u7684\u65b9\u6cd5\u96be\u4ee5\u5728\u5408\u7406\u65f6\u95f4\u5185\u83b7\u5f97\u6700\u4f18\u89e3\u3002\u672c\u6587\u63d0\u51fa\u4e00\u79cd\u57fa\u4e8e\u56fe\u795e\u7ecf\u7f51\u7edc\u7684\u975e\u6807\u88c5\u914d\u5e8f\u5217\u89c4\u5212\u4e0e\u53ef\u88c5\u914d\u6027\u9a8c\u8bc1\u65b9\u6cd5\u3002\u5c06\u4ea7\u54c1\u7ed3\u6784\u5efa\u6a21\u4e3a\u5f02\u6784\u56fe\uff0c\u5176\u4e2d\u8282\u70b9\u8868\u793a\u96f6\u4ef6\uff0c\u8fb9\u8868\u793a\u63a5\u89e6\u4e0e\u7d27\u56fa\u5173\u7cfb\u3002\u901a\u8fc7\u56fe\u6ce8\u610f\u529b\u7f51\u7edc\u5b66\u4e60\u96f6\u4ef6\u7684\u7279\u5f81\u5d4c\u5165\uff0c\u518d\u4f7f\u7528\u81ea\u56de\u5f52\u5e8f\u5217\u751f\u6210\u6a21\u578b\u4e00\u6b21\u6027\u8f93\u51fa\u53ef\u884c\u88c5\u914d\u5e8f\u5217\u3002\u540c\u65f6\u6784\u5efa\u4e00\u4e2a\u53ef\u88c5\u914d\u6027\u5224\u522b\u7f51\u7edc\uff0c\u5bf9\u751f\u6210\u7684\u5e8f\u5217\u8fdb\u884c\u5feb\u901f\u9a8c\u8bc1\uff0c\u5e76\u63d0\u4f9b\u4e0d\u53ef\u884c\u539f\u56e0\u89e3\u91ca\u3002\u5728\u5305\u542b200\u4e2a\u975e\u6807\u88c5\u914d\u6848\u4f8b\u7684\u6570\u636e\u96c6\u4e0a\uff0c\u672c\u6587\u65b9\u6cd5\u5728\u5e73\u5747\u5e8f\u5217\u957f\u5ea615\u4e2a\u96f6\u4ef6\u65f6\uff0c\u6210\u529f\u751f\u6210\u53ef\u884c\u5e8f\u5217\u7684\u6bd4\u4f8b\u8fbe91%\uff0c\u5e8f\u5217\u751f\u6210\u8017\u65f6\u4ec50.2\u79d2\uff0c\u76f8\u6bd4\u4f20\u7edf\u9057\u4f20\u7b97\u6cd5\u52a0\u901f\u4e09\u4e2a\u6570\u91cf\u7ea7\u3002\u672c\u5de5\u4f5c\u4e3a\u975e\u6807\u88c5\u914d\u5de5\u827a\u7684\u667a\u80fd\u51b3\u7b56\u63d0\u4f9b\u4e86\u9ad8\u6548\u5de5\u5177\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">1. \u5f15\u8a00<\/h3>\n\n\n\n<p>\u88c5\u914d\u662f\u4ea7\u54c1\u5236\u9020\u7684\u6700\u540e\u73af\u8282\uff0c\u4e5f\u662f\u6210\u672c\u4e0e\u8d28\u91cf\u7684\u5173\u952e\u5f71\u54cd\u56e0\u7d20\u3002\u5bf9\u4e8e\u975e\u6807\u4ea7\u54c1\uff08\u5982\u5b9a\u5236\u5316\u7684\u5de5\u88c5\u5939\u5177\u3001\u8bd5\u9a8c\u8bbe\u5907\u3001\u975e\u6807\u81ea\u52a8\u5316\u673a\u6784\uff09\uff0c\u901a\u5e38\u6ca1\u6709\u56fa\u5b9a\u7684\u88c5\u914d\u5de5\u827a\u6587\u4ef6\uff0c\u5de5\u827a\u4eba\u5458\u9700\u8981\u4e34\u65f6\u89c4\u5212\u96f6\u4ef6\u88c5\u914d\u987a\u5e8f\uff0c\u5e76\u9a8c\u8bc1\u5e72\u6d89\u3001\u7a33\u5b9a\u6027\u7b49\u7ea6\u675f\u3002\u8fd9\u79cd\u89c4\u5212\u672c\u8d28\u4e0a\u662f\u7ec4\u5408\u4f18\u5316\u95ee\u9898\uff1a\u5bf9\u4e8e$N$\u4e2a\u96f6\u4ef6\uff0c\u7406\u8bba\u5e8f\u5217\u6570\u91cf\u4e3a$N!$\uff0c\u5373\u4f7f\u65bd\u52a0\u4e25\u683c\u7684\u4f18\u5148\u7ea6\u675f\uff08\u5982\u5fc5\u987b\u5b50\u88c5\u914d\u4f53\u5148\u5b8c\u6210\uff09\uff0c\u641c\u7d22\u7a7a\u95f4\u4f9d\u7136\u7206\u70b8\u6027\u589e\u957f\u3002<\/p>\n\n\n\n<p>\u4f20\u7edf\u88c5\u914d\u5e8f\u5217\u89c4\u5212\u65b9\u6cd5\u5206\u4e3a\u4e09\u7c7b\uff1a\u57fa\u4e8e\u89c4\u5219\u7684\u7cfb\u7edf\uff0c\u5229\u7528\u4ea7\u54c1\u8bbe\u8ba1\u7279\u5f81\u4e2d\u7684\u201c\u5148\u5185\u540e\u5916\u3001\u5148\u4e0b\u540e\u4e0a\u201d\u542f\u53d1\u5f0f\uff0c\u4f46\u65e0\u6cd5\u8986\u76d6\u6240\u6709\u975e\u6807\u60c5\u51b5\uff1b\u57fa\u4e8e\u56fe\u641c\u7d22\u7684\u65b9\u6cd5\uff08\u5982AND\/OR\u56fe\uff09\uff0c\u72b6\u6001\u7a7a\u95f4\u8fc7\u5927\uff1b\u57fa\u4e8e\u5143\u542f\u53d1\u5f0f\uff08\u9057\u4f20\u7b97\u6cd5\u3001\u8681\u7fa4\u7b97\u6cd5\uff09\u7684\u65b9\u6cd5\uff0c\u6bcf\u4e2a\u6848\u4f8b\u9700\u91cd\u65b0\u8fd0\u884c\u8fed\u4ee3\uff0c\u8017\u65f6\u6570\u5206\u949f\u5230\u6570\u5c0f\u65f6\uff0c\u4e0d\u9002\u5e94\u4ea7\u7ebf\u5feb\u901f\u6362\u4ea7\u7684\u9700\u6c42\u3002<\/p>\n\n\n\n<p>\u8fd1\u5e74\u6765\uff0c\u56fe\u795e\u7ecf\u7f51\u7edc\uff08GNN\uff09\u5728\u5904\u7406\u5173\u7cfb\u578b\u7ed3\u6784\u6570\u636e\u4e0a\u5c55\u73b0\u51fa\u5f3a\u5927\u80fd\u529b\u3002\u4ea7\u54c1\u88c5\u914d\u5173\u7cfb\u5929\u7136\u662f\u4e00\u4e2a\u56fe\uff1a\u96f6\u4ef6\u662f\u8282\u70b9\uff0c\u88c5\u914d\u5173\u7cfb\uff08\u8d34\u5408\u3001\u87ba\u7eb9\u3001\u5361\u6263\uff09\u662f\u8fb9\u3002\u6211\u4eec\u80fd\u5426\u8bad\u7ec3\u4e00\u4e2a\u6a21\u578b\uff0c\u5b66\u4e60\u4ece\u4ea7\u54c1\u88c5\u914d\u56fe\u5230\u6700\u4f18\u6216\u53ef\u884c\u88c5\u914d\u5e8f\u5217\u7684\u6620\u5c04\uff0c\u7136\u540e\u5728\u63a8\u7406\u65f6\u6beb\u79d2\u7ea7\u751f\u6210\u5e8f\u5217\uff1f\u540c\u65f6\uff0c\u80fd\u5426\u9a8c\u8bc1\u5e8f\u5217\u7684\u53ef\u884c\u6027\u5e76\u6307\u51fa\u8fdd\u53cd\u4e86\u4ec0\u4e48\u7ea6\u675f\uff1f\u672c\u6587\u6b63\u662f\u6cbf\u7740\u8fd9\u4e00\u601d\u8def\u5f00\u5c55\u7814\u7a76\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">2. \u88c5\u914d\u7ed3\u6784\u56fe\u5efa\u6a21\u4e0e\u7279\u5f81\u5de5\u7a0b<\/h3>\n\n\n\n<h4 class=\"wp-block-heading\">2.1 \u5f02\u6784\u56fe\u5b9a\u4e49<\/h4>\n\n\n\n<p>\u4ea7\u54c1\u88c5\u914d\u5173\u7cfb\u88ab\u5b9a\u4e49\u4e3a\u4e00\u4e2a\u6709\u5411\u5f02\u6784\u56fe$\\mathcal{G}=(\\mathcal{V},\\mathcal{E},\\mathcal{R})$\u3002\u8282\u70b9$v_i \\in \\mathcal{V}$\u4ee3\u8868\u4e00\u4e2a\u96f6\u4ef6\u6216\u5b50\u88c5\u914d\u4f53\uff08\u5728\u5c42\u6b21\u5316\u5206\u89e3\u4e2d\uff09\u3002\u8fb9$(v_i, r, v_j) \\in \\mathcal{E}$\u8868\u793a$v_i$\u4e0e$v_j$\u4e4b\u95f4\u901a\u8fc7\u5173\u7cfb\u7c7b\u578b$r$\u5173\u8054\uff0c$r \\in \\mathcal{R}$\u5305\u62ec\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><code>mate<\/code>\uff1a\u8d34\u5408\/\u5bf9\u51c6\uff08\u65e0\u7d27\u56fa\u4ef6\uff09\uff1b<\/li>\n\n\n\n<li><code>fasten<\/code>\uff1a\u901a\u8fc7\u87ba\u9489\u3001\u94c6\u9489\u3001\u710a\u63a5\u7b49\u7d27\u56fa\uff1b<\/li>\n\n\n\n<li><code>insert<\/code>\uff1a\u8f74\u5b54\u63d2\u5165\uff1b<\/li>\n\n\n\n<li><code>enclose<\/code>\uff1a\u5305\u5bb9\u5173\u7cfb\uff08\u5982\u58f3\u4f53\u76d6\u677f\uff09\uff1b<\/li>\n\n\n\n<li><code>contact<\/code>\uff1a\u975e\u56fa\u5b9a\u63a5\u89e6\uff08\u4ec5\u5b9a\u4f4d\uff09\u3002<\/li>\n<\/ul>\n\n\n\n<p>\u6bcf\u4e2a\u8282\u70b9\u9644\u5e26\u5c5e\u6027\u5411\u91cf\uff1a\u96f6\u4ef6\u7c7b\u578b\uff08\u94a3\u91d1\u3001\u673a\u52a0\u5de5\u3001\u6807\u51c6\u4ef6\uff09\u3001\u8d28\u91cf\u3001\u4f53\u79ef\u3001\u5bf9\u79f0\u6027\u6807\u5fd7\u3001\u6293\u53d6\u9762\u6570\u91cf\u7b49\u3002<\/p>\n\n\n\n<p>\u6bcf\u6761\u8fb9\u5e26\u5c5e\u6027\uff1a\u914d\u5408\u95f4\u9699\u3001\u7d27\u56fa\u529b\u77e9\u8981\u6c42\u3001\u88c5\u914d\u65b9\u5411\u9650\u5236\u7b49\u3002<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">2.2 \u4f18\u5148\u7ea6\u675f\u63d0\u53d6<\/h4>\n\n\n\n<p>\u4ece\u4ea7\u54c1\u8bbe\u8ba1\u4e2d\u7684\u51e0\u4f55\u53ef\u8fbe\u6027\uff08\u4f8b\u5982\u96f6\u4ef6C\u88ab\u96f6\u4ef6A\u548cB\u5305\u56f4\uff0c\u5219C\u5fc5\u987b\u5728A\u3001B\u4e4b\u524d\u5b89\u88c5\uff09\u3001\u7a33\u5b9a\u6027\uff08\u96f6\u4ef6\u5b89\u88c5\u540e\u5e94\u80fd\u4fdd\u6301\u4f4d\u7f6e\u4e0d\u8dcc\u843d\uff09\u4ee5\u53ca\u5de5\u827a\u4f18\u5148\u5173\u7cfb\uff08\u5982\u5148\u6e05\u6d17\u540e\u88c5\u914d\uff09\uff0c\u6211\u4eec\u53ef\u4ee5\u63d0\u53d6\u4e00\u90e8\u5206\u663e\u5f0f\u7684\u201c\u5148\u540e\u7ea6\u675f\u201d\u4f5c\u4e3a\u5148\u9a8c\u77e5\u8bc6\u3002\u4f46\u8fd9\u4e9b\u7ea6\u675f\u5f80\u5f80\u4e0d\u5b8c\u6574\uff0c\u6a21\u578b\u9700\u8981\u4ece\u6570\u636e\u4e2d\u5b66\u4e60\u9690\u542b\u7684\u66f4\u590d\u6742\u7ea6\u675f\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">3. \u56fe\u795e\u7ecf\u7f51\u7edc\u5e8f\u5217\u751f\u6210\u6a21\u578b<\/h3>\n\n\n\n<h4 class=\"wp-block-heading\">3.1 \u7f16\u7801\u5668\uff1a\u56fe\u6ce8\u610f\u529b\u7f51\u7edc<\/h4>\n\n\n\n<p>\u5c06\u88c5\u914d\u56fe$\\mathcal{G}$\u8f93\u5165\u4e00\u4e2a\u4e09\u5c42\u7684\u56fe\u6ce8\u610f\u529b\u7f51\u7edc\uff08GAT\uff09\u3002\u6bcf\u5c42\u6267\u884c\uff1a<br><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><msubsup><mi>h<\/mi><mi>i<\/mi><mrow><mo stretchy=\"false\">(<\/mo><mi>l<\/mi><mo>+<\/mo><mn>1<\/mn><mo stretchy=\"false\">)<\/mo><\/mrow><\/msubsup><mo>=<\/mo><mi>\u03c3<\/mi><mrow><mo fence=\"true\">(<\/mo><msub><mo>\u2211<\/mo><mrow><mi>r<\/mi><mo>\u2208<\/mo><mi mathvariant=\"script\">R<\/mi><\/mrow><\/msub><msub><mo>\u2211<\/mo><mrow><mi>j<\/mi><mo>\u2208<\/mo><msub><mi mathvariant=\"script\">N<\/mi><mi>r<\/mi><\/msub><mo stretchy=\"false\">(<\/mo><mi>i<\/mi><mo stretchy=\"false\">)<\/mo><\/mrow><\/msub><msubsup><mi>\u03b1<\/mi><mrow><mi>i<\/mi><mi>j<\/mi><\/mrow><mrow><mo stretchy=\"false\">(<\/mo><mi>l<\/mi><mo separator=\"true\">,<\/mo><mi>r<\/mi><mo stretchy=\"false\">)<\/mo><\/mrow><\/msubsup><msubsup><mi>W<\/mi><mi>r<\/mi><mrow><mo stretchy=\"false\">(<\/mo><mi>l<\/mi><mo stretchy=\"false\">)<\/mo><\/mrow><\/msubsup><msubsup><mi>h<\/mi><mi>j<\/mi><mrow><mo stretchy=\"false\">(<\/mo><mi>l<\/mi><mo stretchy=\"false\">)<\/mo><\/mrow><\/msubsup><mo fence=\"true\">)<\/mo><\/mrow><\/mrow><\/semantics><\/math><em>h<\/em><em>i<\/em>(<em>l<\/em>+1)\u200b=<em>\u03c3<\/em>(\u2211<em>r<\/em>\u2208R\u200b\u2211<em>j<\/em>\u2208N<em>r<\/em>\u200b(<em>i<\/em>)\u200b<em>\u03b1<\/em><em>ij<\/em>(<em>l<\/em>,<em>r<\/em>)\u200b<em>W<\/em><em>r<\/em>(<em>l<\/em>)\u200b<em>h<\/em><em>j<\/em>(<em>l<\/em>)\u200b)<br>\u5176\u4e2d$\\alpha_{ij}^{(l,r)}$\u4e3a\u6ce8\u610f\u529b\u7cfb\u6570\uff0c\u6839\u636e\u5173\u7cfb\u7c7b\u578b$r$\u5206\u522b\u8ba1\u7b97\u3002\u6700\u540e\u4e00\u5c42\u8f93\u51fa\u6bcf\u4e2a\u8282\u70b9\u7684$d$\u7ef4\u5d4c\u5165\u5411\u91cf$z_i$\uff0c\u5305\u542b\u8be5\u96f6\u4ef6\u5728\u6574\u4e2a\u88c5\u914d\u4e0a\u4e0b\u6587\u4e2d\u7684\u89d2\u8272\u4fe1\u606f\u3002<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">3.2 \u89e3\u7801\u5668\uff1a\u81ea\u56de\u5f52\u5e8f\u5217\u751f\u6210<\/h4>\n\n\n\n<p>\u89e3\u7801\u5668\u57fa\u4e8eTransformer\u7684\u56e0\u679c\u63a9\u7801\u7ed3\u6784\uff0c\u9010\u6b65\u8f93\u51fa\u88c5\u914d\u5e8f\u5217$[v_{\\pi(1)}, v_{\\pi(2)}, &#8230;, v_{\\pi(N)}]$\u3002\u5728\u7b2c$t$\u6b65\uff0c\u6a21\u578b\u5df2\u77e5\u5df2\u88c5\u914d\u7684\u96f6\u4ef6\u96c6\u5408$S_{t-1}$\uff0c\u9700\u8981\u4ece\u672a\u88c5\u914d\u7684\u96f6\u4ef6\u4e2d\u9009\u62e9\u4e0b\u4e00\u4e2a\u3002\u4e3a\u6b64\uff0c\u6211\u4eec\u5f15\u5165\u72b6\u6001\u7f16\u7801$s_t = \\text{AGG}( { z_i | i \\in S_{t-1} } )$\uff0c\u7136\u540e\u8ba1\u7b97\u6bcf\u4e2a\u5019\u9009\u96f6\u4ef6$v_j \\notin S_{t-1}$\u7684\u5f97\u5206\uff1a<br><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mtext>score<\/mtext><mo stretchy=\"false\">(<\/mo><mi>j<\/mi><mo stretchy=\"false\">)<\/mo><mo>=<\/mo><mi>M<\/mi><mi>L<\/mi><mi>P<\/mi><mo stretchy=\"false\">(<\/mo><mo stretchy=\"false\">[<\/mo><msub><mi>z<\/mi><mi>j<\/mi><\/msub><mo separator=\"true\">;<\/mo><msub><mi>s<\/mi><mi>t<\/mi><\/msub><mo separator=\"true\">;<\/mo><mtext>interaction<\/mtext><mo stretchy=\"false\">(<\/mo><mi>j<\/mi><mo separator=\"true\">,<\/mo><msub><mi>S<\/mi><mrow><mi>t<\/mi><mo>\u2212<\/mo><mn>1<\/mn><\/mrow><\/msub><mo stretchy=\"false\">)<\/mo><mo stretchy=\"false\">]<\/mo><mo stretchy=\"false\">)<\/mo><\/mrow><\/semantics><\/math>score(<em>j<\/em>)=<em>M<\/em><em>L<\/em><em>P<\/em>([<em>z<\/em><em>j<\/em>\u200b;<em>s<\/em><em>t<\/em>\u200b;interaction(<em>j<\/em>,<em>S<\/em><em>t<\/em>\u22121\u200b)])<br>\u5176\u4e2d$\\text{interaction}$\u9879\u8868\u793a\u5019\u9009\u96f6\u4ef6\u4e0e\u5df2\u88c5\u96f6\u4ef6\u4e4b\u95f4\u7684\u8fb9\u7279\u5f81\u6c47\u603b\u3002\u901a\u8fc7softmax\u9009\u62e9\u5f97\u5206\u6700\u9ad8\u7684\u96f6\u4ef6\uff0c\u6216\u4f7f\u7528\u96c6\u675f\u641c\u7d22\u4fdd\u7559\u591a\u4e2a\u5019\u9009\u5e8f\u5217\u3002<\/p>\n\n\n\n<p>\u8bad\u7ec3\u9636\u6bb5\uff1a\u4f7f\u7528\u6559\u5e08\u5f3a\u5236\uff08teacher forcing\uff09\u65b9\u5f0f\uff0c\u635f\u5931\u51fd\u6570\u4e3a\u8d1f\u5bf9\u6570\u4f3c\u7136\u3002\u6211\u4eec\u5c06\u5386\u53f2\u4ea7\u54c1\u4e2d\u7ecf\u8fc7\u9a8c\u8bc1\u7684\u88c5\u914d\u5e8f\u5217\u4f5c\u4e3a\u6b63\u6837\u672c\u3002\u540c\u65f6\u5229\u7528<strong>\u6570\u636e\u589e\u5f3a<\/strong>\uff1a\u968f\u673a\u63a9\u7801\u90e8\u5206\u7ea6\u675f\uff0c\u751f\u6210\u4e0d\u540c\u7684\u53ef\u884c\u5e8f\u5217\u4f5c\u4e3a\u8bad\u7ec3\u6570\u636e\uff0c\u589e\u5f3a\u6a21\u578b\u6cdb\u5316\u80fd\u529b\u3002<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">3.3 \u53ef\u884c\u6027\u7ea6\u675f\u6ce8\u5165<\/h4>\n\n\n\n<p>\u4e3a\u4e86\u786e\u4fdd\u751f\u6210\u7684\u5e8f\u5217\u6ee1\u8db3\u51e0\u4f55\u53ef\u884c\u6027\uff08\u4e0d\u5e72\u6d89\u3001\u53ef\u8fbe\uff09\uff0c\u6211\u4eec\u5728\u8bad\u7ec3\u4e2d\u4e0d\u4ec5\u4f7f\u7528\u6837\u4f8b\u5e8f\u5217\uff0c\u8fd8\u5f15\u5165\u4e00\u4e2a\u5224\u522b\u5668\u7f51\u7edc\uff08\u89c1\u4e0b\u4e00\u8282\uff09\uff0c\u5e76\u5c06\u5224\u522b\u5668\u53cd\u9988\u4f5c\u4e3a\u5f3a\u5316\u5b66\u4e60\u5956\u52b1\u4fe1\u53f7\uff0c\u5bf9\u751f\u6210\u5668\u8fdb\u884c\u5fae\u8c03\u3002\u8fd9\u7c7b\u4f3c\u4e8eGAN\u7684\u601d\u8def\uff0c\u4f46\u751f\u6210\u5668\u662f\u5e8f\u5217\u6a21\u578b\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">4. \u53ef\u88c5\u914d\u6027\u9a8c\u8bc1\u7f51\u7edc<\/h3>\n\n\n\n<p>\u5355\u72ec\u642d\u5efa\u4e00\u4e2a\u53cc\u7ebf\u6027\u56fe\u795e\u7ecf\u7f51\u7edc\u5224\u522b\u5668\uff0c\u7528\u4e8e\u5feb\u901f\u9a8c\u8bc1\u7ed9\u5b9a\u88c5\u914d\u5e8f\u5217\u7684\u53ef\u884c\u6027\u3002\u8f93\u5165\u4e3a\u88c5\u914d\u56fe$\\mathcal{G}$\u548c\u5e8f\u5217$\\pi$\uff0c\u8f93\u51fa\u4e3a\u4e8c\u8fdb\u5236\u6807\u7b7e\uff08\u53ef\u884c\/\u4e0d\u53ef\u884c\uff09\u4ee5\u53ca\u8fdd\u53cd\u7ea6\u675f\u7c7b\u578b\u7684\u6982\u7387\u5206\u5e03\u3002\u5224\u522b\u5668\u7ed3\u6784\u5982\u4e0b\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u5bf9\u6bcf\u4e2a\u65f6\u95f4\u6b65$t$\uff0c\u5c06\u5df2\u88c5\u914d\u5b50\u56fe$\\mathcal{G}_{S_t}$\u548c\u5019\u9009\u96f6\u4ef6\u7279\u5f81\u901a\u8fc7\u65f6\u95f4\u611f\u77e5\u805a\u5408\uff1b<\/li>\n\n\n\n<li>\u4f7f\u7528\u5c42\u6b21\u5316GNN\u68c0\u6d4b\u4e09\u7c7b\u5178\u578b\u4e0d\u53ef\u884c\u539f\u56e0\uff1a\n<ol start=\"1\" class=\"wp-block-list\">\n<li>\u5e72\u6d89\uff1a\u5019\u9009\u96f6\u4ef6$v_j$\u7684\u626b\u7565\u8def\u5f84\u4e0e\u5df2\u5b89\u88c5\u96f6\u4ef6$S_{t-1}$\u53d1\u751f\u78b0\u649e\uff1b<\/li>\n\n\n\n<li>\u7a33\u5b9a\u6027\uff1a\u5b89\u88c5\u540e$v_j$\u5728\u91cd\u529b\u4e0b\u4f1a\u6389\u843d\uff08\u7f3a\u5c11\u652f\u6491\uff09\uff1b<\/li>\n\n\n\n<li>\u53ef\u8fbe\u6027\uff1a\u5de5\u5177\u6216\u64cd\u4f5c\u624b\u65e0\u6cd5\u8fdb\u5165\u5b89\u88c5\u4f4d\u59ff\u3002<\/li>\n<\/ol>\n<\/li>\n<\/ul>\n\n\n\n<p>\u5224\u522b\u5668\u901a\u8fc7\u8bb0\u5fc6\u8fd9\u4e9b\u7ea6\u675f\uff0c\u53ef\u5bf9\u672a\u5728\u8bad\u7ec3\u4e2d\u51fa\u73b0\u7684\u5e8f\u5217\u8fdb\u884c\u901a\u7528\u8bc4\u4f30\u3002\u5b9e\u9a8c\u8868\u660e\uff0c\u5224\u522b\u5668\u9a8c\u8bc1\u4e00\u6761\u5e8f\u5217\u7684\u65f6\u95f4\u7ea6\u4e3a3ms\uff0c\u8fdc\u5feb\u4e8eCAD\u8f6f\u4ef6\u4e2d\u7684\u7269\u7406\u4eff\u771f\uff08\u901a\u5e38\u9700\u8981\u6570\u767e\u6beb\u79d2\u5230\u6570\u79d2\uff09\u3002\u6211\u4eec\u5c06\u5224\u522b\u5668\u7528\u4e8e\u540e\u8fc7\u6ee4\uff0c\u786e\u4fdd\u6700\u540e\u63a8\u8350\u7684\u5e8f\u5217\u767e\u5206\u767e\u53ef\u884c\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">5. \u5b9e\u9a8c\u4e0e\u7ed3\u679c<\/h3>\n\n\n\n<h4 class=\"wp-block-heading\">5.1 \u6570\u636e\u96c6\u6784\u5efa<\/h4>\n\n\n\n<p>\u6536\u96c6\u4e86\u67d0\u975e\u6807\u8bbe\u5907\u5236\u9020\u5546200\u4e2a\u975e\u6807\u88c5\u914d\u4f53\u7684\u4e09\u7ef4\u6a21\u578b\u4e0e\u5de5\u827a\u6587\u4ef6\uff0c\u96f6\u4ef6\u6570\u8303\u56f4\u4ece5\u523030\u4e0d\u7b49\u3002\u4eba\u5de5\u63d0\u53d6\u6bcf\u4e2a\u6848\u4f8b\u7684\u81f3\u5c11\u4e00\u4e2a\u53ef\u884c\u88c5\u914d\u5e8f\u5217\uff08\u901a\u8fc7\u8d44\u6df1\u5de5\u827a\u5e08\u786e\u8ba4\uff09\u3002\u5176\u4e2d150\u4e2a\u7528\u4e8e\u8bad\u7ec3\uff0c50\u4e2a\u7528\u4e8e\u6d4b\u8bd5\u3002<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">5.2 \u8bc4\u4ef7\u6307\u6807<\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u6210\u529f\u7387<\/strong>\uff1a\u6a21\u578b\u751f\u6210\u7684Top-1\u5e8f\u5217\u7ecf\u8fc7\u5224\u522b\u5668\u9a8c\u8bc1\u4e3a\u53ef\u884c\u7684\u6bd4\u4f8b\u3002\u540c\u65f6\u8bb0\u5f55Top-3\u3001Top-5\u7684\u53ef\u884c\u6027\u3002<\/li>\n\n\n\n<li><strong>\u5e8f\u5217\u76f8\u4f3c\u5ea6<\/strong>\uff1a\u4e0e\u4eba\u5de5\u53c2\u8003\u5e8f\u5217\u7684\u6700\u957f\u516c\u5171\u5b50\u5e8f\u5217\uff08LCS\uff09\u957f\u5ea6\u3002<\/li>\n\n\n\n<li><strong>\u751f\u6210\u65f6\u95f4<\/strong>\uff1a\u5e73\u5747\u6bcf\u4e2a\u6d4b\u8bd5\u6848\u4f8b\u7684\u63a8\u7406\u8017\u65f6\u3002<\/li>\n<\/ul>\n\n\n\n<h4 class=\"wp-block-heading\">5.3 \u7ed3\u679c\u4e0e\u5bf9\u6bd4<\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u672c\u6587\u65b9\u6cd5Top-1\u6210\u529f\u7387\u4e3a91%\uff0cTop-5\u6210\u529f\u7387\u4e3a98%\u3002\u5bf9\u6bd4\u65b9\u6cd5\uff1a\u57fa\u4e8e\u9057\u4f20\u7b97\u6cd5\u7684GA-Planner\uff08\u4e3a\u6bcf\u4e2a\u6848\u4f8b\u8fd0\u884c30\u4ee3\uff09\u6210\u529f\u7387\u4e3a84%\uff0c\u4f46\u5e73\u5747\u8017\u65f63.2\u5206\u949f\uff1b\u57fa\u4e8e\u89c4\u5219\u7684Expert-Rule\u53ea\u75280.05\u79d2\uff0c\u4f46\u6210\u529f\u7387\u4ec547%\u3002<\/li>\n\n\n\n<li>\u5e8f\u5217\u76f8\u4f3c\u5ea6\uff1a\u672c\u6587\u751f\u6210\u7684\u5e8f\u5217\u4e0e\u4eba\u5de5\u53c2\u8003\u5e8f\u5217LCS\u5e73\u5747\u4e3a0.78\uff0c\u8bf4\u660e\u6a21\u578b\u5b66\u4f1a\u7684\u5e8f\u5217\u4e0e\u4e13\u5bb6\u6307\u793a\u76f8\u8fd1\uff0c\u4f46\u6709\u65f6\u4f1a\u751f\u6210\u4e0d\u540c\u7684\u53ef\u884c\u5e8f\u5217\uff08\u5224\u522b\u5668\u786e\u8ba4\u53ef\u884c\u800c\u4eba\u5de5\u672a\u63d0\u53ca\uff09\uff0c\u4f53\u73b0\u4e86\u65b9\u6cd5\u7684\u521b\u9020\u6027\u3002<\/li>\n\n\n\n<li>\u751f\u6210\u65f6\u95f4\uff1a\u6bcf\u6848\u4f8b0.2\u79d2\uff08\u5305\u62ec\u56fe\u7f16\u7801\u548c\u81ea\u56de\u5f52\u89e3\u7801\uff09\uff0c\u5b8c\u5168\u8fbe\u5230\u5b9e\u65f6\u4ea4\u4e92\u8981\u6c42\u3002<\/li>\n<\/ul>\n\n\n\n<h4 class=\"wp-block-heading\">5.4 \u6d88\u878d\u5b9e\u9a8c<\/h4>\n\n\n\n<p>\u53bb\u6389\u5f02\u6784\u56fe\u4e2d\u7684\u5173\u7cfb\u7c7b\u578b\uff08\u7edf\u4e00\u89c6\u4e3a\u65e0\u5411\u8fb9\uff09\uff0c\u6210\u529f\u7387\u964d\u81f371%\uff0c\u8bf4\u660e\u533a\u5206<code>fasten<\/code>\u4e0e<code>mate<\/code>\u81f3\u5173\u91cd\u8981\u3002\u53bb\u6389\u6ce8\u610f\u529b\u673a\u5236\uff08\u4f7f\u7528\u5e73\u5747\u90bb\u5c45\u805a\u5408\uff09\uff0c\u6210\u529f\u7387\u964d\u81f381%\u3002\u4f7f\u7528LSTM\u66ff\u4ee3GAT\u7f16\u7801\u5668\uff0c\u6210\u529f\u7387\u4ec5\u4e3a65%\uff0c\u56e0\u4e3aLSTM\u5f3a\u5236\u5c06\u56fe\u7ebf\u6027\u5316\uff0c\u635f\u5931\u4e86\u62d3\u6251\u4fe1\u606f\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">6. 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