{"id":13919,"date":"2018-12-25T01:00:00","date_gmt":"2018-12-24T17:00:00","guid":{"rendered":"http:\/\/swarma.org\/4340e5336f\/"},"modified":"2019-01-23T10:48:22","modified_gmt":"2019-01-23T02:48:22","slug":"4340e5336f","status":"publish","type":"post","link":"https:\/\/swarma.org\/?p=13919","title":{"rendered":"\u56fe\u7f51\u7edc\u91cd\u78c5\u7efc\u8ff0\uff1a\u57fa\u4e8e\u56fe\u7684\u6df1\u5ea6\u5b66\u4e60\u65b9\u6cd5"},"content":{"rendered":"
\n

\"\u96c6\u667a\"
<\/p>\n


<\/p>\n

\n
\n
\u5bfc\u8bed<\/span><\/strong><\/span><\/section>\n
\n
\n
\n

\u6df1\u5ea6\u5b66\u4e60\u5728\u591a\u4e2a\u9886\u57df\u4e2d\u5b9e\u73b0\u6210\u529f\uff0c\u5982\u58f0\u5b66\u3001\u56fe\u50cf\u548c\u81ea\u7136\u8bed\u8a00\u5904\u7406\u3002\u4f46\u662f\uff0c\u5c06\u6df1\u5ea6\u5b66\u4e60\u5e94\u7528\u4e8e\u666e\u904d\u5b58\u5728\u7684\u56fe\u6570\u636e\u4ecd\u7136\u5b58\u5728\u95ee\u9898\uff0c\u8fd9\u662f\u7531\u4e8e\u56fe\u6570\u636e\u7684\u72ec\u7279\u7279\u6027\u3002\u8fd1\u671f\uff0c\u8be5\u9886\u57df\u51fa\u73b0\u5927\u91cf\u7814\u7a76\uff0c\u6781\u5927\u5730\u63d0\u5347\u4e86\u56fe\u5206\u6790\u6280\u672f\u3002\u6e05\u534e\u5927\u5b66\u6731\u6587\u6b66\u7b49\u4eba\u7efc\u8ff0\u4e86\u5e94\u7528\u4e8e\u56fe\u7684\u4e0d\u540c\u6df1\u5ea6\u5b66\u4e60\u65b9\u6cd5\u3002<\/span><\/p>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n


<\/p>\n<\/section>\n

\n
\n
\n
\n
\n
\n
\n
\n
\n
\n
\n
\n

\u6765\u6e90\uff1a\u673a\u5668\u4e4b\u5fc3<\/span><\/p>\n

\u8bba\u6587\u9898\u76ee\uff1aDeep Learning on Graphs: A Survey <\/span><\/p>\n

\u8bba\u6587\u5730\u5740\uff1ahttps:\/\/arxiv.org\/abs\/1812.04202<\/span><\/p>\n

\u4f5c\u8005\uff1a\u5f20\u5b50\u5a01\u3001\u5d14\u9e4f\u3001\u6731\u6587\u6b66<\/span><\/p>\n<\/blockquote>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n


<\/p>\n

\u672c\u6587\u4f5c\u8005\u5c06\u73b0\u6709\u65b9\u6cd5\u5206\u4e3a\u4e09\u4e2a\u5927\u7c7b\uff1a\u534a\u76d1\u7763\u65b9\u6cd5\uff0c\u5305\u62ec\u56fe\u795e\u7ecf\u7f51\u7edc\u548c\u56fe\u5377\u79ef\u7f51\u7edc\uff1b\u65e0\u76d1\u7763\u65b9\u6cd5\uff0c\u5305\u62ec\u56fe\u81ea\u7f16\u7801\u5668\uff1b\u8fd1\u671f\u65b0\u7684\u7814\u7a76\u65b9\u6cd5\uff0c\u5305\u62ec\u56fe\u5faa\u73af\u795e\u7ecf\u7f51\u7edc\u548c\u56fe\u5f3a\u5316\u5b66\u4e60\u3002\u7136\u540e\u6309\u7167\u8fd9\u4e9b\u65b9\u6cd5\u7684\u53d1\u5c55\u53f2\u5bf9\u5b83\u4eec\u8fdb\u884c\u7cfb\u7edf\u6982\u8ff0\u3002\u8be5\u7814\u7a76\u8fd8\u5206\u6790\u4e86\u8fd9\u4e9b\u65b9\u6cd5\u7684\u533a\u522b\uff0c\u4ee5\u53ca\u5982\u4f55\u5408\u6210\u4e0d\u540c\u7684\u67b6\u6784\u3002\u6700\u540e\uff0c\u8be5\u7814\u7a76\u7b80\u5355\u5217\u4e3e\u4e86\u8fd9\u4e9b\u65b9\u6cd5\u7684\u5e94\u7528\u8303\u56f4\uff0c\u5e76\u8ba8\u8bba\u4e86\u6f5c\u5728\u65b9\u5411\u3002<\/span><\/p>\n

\n


<\/p>\n


<\/p>\n

\n
\n
<\/p>\n

\u5f15\u8a00<\/span><\/strong><\/span><\/p>\n

<\/strong><\/section>\n<\/section>\n<\/section>\n


<\/p>\n<\/section>\n

\u8fd1\u5341\u5e74\uff0c\u6df1\u5ea6\u5b66\u4e60\u6210\u4e3a\u4eba\u5de5\u667a\u80fd\u548c\u673a\u5668\u5b66\u4e60\u8fd9\u9876\u7687\u51a0\u4e0a\u7684\u660e\u73e0\uff0c\u5728\u58f0\u5b66\u3001\u56fe\u50cf\u548c\u81ea\u7136\u8bed\u8a00\u5904\u7406\u9886\u57df\u5c55\u793a\u4e86\u9876\u5c16\u7684\u6027\u80fd\u3002\u6df1\u5ea6\u5b66\u4e60\u63d0\u53d6\u6570\u636e\u5e95\u5c42\u590d\u6742\u6a21\u5f0f\u7684\u8868\u8fbe\u80fd\u529b\u5e7f\u53d7\u8ba4\u53ef\u3002\u4f46\u662f\uff0c\u73b0\u5b9e\u4e16\u754c\u4e2d\u666e\u904d\u5b58\u5728\u7684\u56fe\u5374\u662f\u4e2a\u96be\u70b9\uff0c\u56fe\u8868\u793a\u5bf9\u8c61\u53ca\u5176\u5173\u7cfb\uff0c\u5982\u793e\u4ea4\u7f51\u7edc\u3001\u7535\u5546\u7f51\u7edc\u3001\u751f\u7269\u7f51\u7edc\u548c\u4ea4\u901a\u7f51\u7edc\u3002\u56fe\u4e5f\u88ab\u8ba4\u4e3a\u662f\u5305\u542b\u4e30\u5bcc\u6f5c\u5728\u4ef7\u503c\u7684\u590d\u6742\u7ed3\u6784\u3002\u56e0\u6b64\uff0c\u5982\u4f55\u5229\u7528\u6df1\u5ea6\u5b66\u4e60\u65b9\u6cd5\u8fdb\u884c\u56fe\u6570\u636e\u5206\u6790\u8fd1\u5e74\u6765\u5438\u5f15\u4e86\u5927\u91cf\u7684\u7814\u7a76\u8005\u5173\u6ce8\u3002\u8be5\u95ee\u9898\u5e76\u4e0d\u5bfb\u5e38\uff0c\u56e0\u4e3a\u5c06\u4f20\u7edf\u6df1\u5ea6\u5b66\u4e60\u67b6\u6784\u5e94\u7528\u5230\u56fe\u4e2d\u5b58\u5728\u591a\u9879\u6311\u6218\uff1a<\/span><\/p>\n


<\/p>\n

\u4e0d\u89c4\u5219\u9886\u57df<\/span>\uff1a\u4e0e\u56fe\u50cf\u4e0d\u540c\uff0c\u97f3\u9891\u548c\u6587\u672c\u5177\u5907\u6e05\u6670\u7684\u7f51\u683c\u7ed3\u6784\uff0c\u800c\u56fe\u5219\u5c5e\u4e8e\u4e0d\u89c4\u5219\u9886\u57df\uff0c\u8fd9\u4f7f\u5f97\u4e00\u4e9b\u57fa\u7840\u6570\u5b66\u8fd0\u7b97\u65e0\u6cd5\u6cdb\u5316\u81f3\u56fe\u3002\u4f8b\u5982\uff0c\u4e3a\u56fe\u6570\u636e\u5b9a\u4e49\u7684\u5377\u79ef\u548c\u6c60\u5316\u64cd\u4f5c\u5e76\u4e0d\u662f\u76f4\u63a5\u7684\uff0c\u800c\u8fd9\u4e9b\u662f\u5377\u79ef\u795e\u7ecf\u7f51\u7edc\uff08CNN\uff09\u4e2d\u7684\u57fa\u7840\u64cd\u4f5c\u3002\u8fd9\u901a\u5e38\u88ab\u79f0\u4e3a\u51e0\u4f55\u6df1\u5ea6\u5b66\u4e60\u95ee\u9898 [7]\u3002<\/span><\/p>\n


<\/p>\n

\u591a\u53d8\u7684\u7ed3\u6784\u548c\u4efb\u52a1<\/span>\uff1a\u56fe\u5177\u5907\u591a\u6837\u5316\u7684\u7ed3\u6784\uff0c\u56e0\u6b64\u6bd4\u8f83\u590d\u6742\u3002\u4f8b\u5982\uff0c\u56fe\u53ef\u4ee5\u662f\u540c\u8d28\u7684\u4e5f\u53ef\u4ee5\u662f\u5f02\u8d28\u7684\uff0c\u53ef\u4ee5\u662f\u52a0\u6743\u7684\u4e5f\u53ef\u4ee5\u4e0d\u52a0\u6743\uff0c\u53ef\u4ee5\u662f\u6709\u7b26\u53f7\u7684\u4e5f\u53ef\u4ee5\u662f\u65e0\u7b26\u53f7\u7684\u3002\u6b64\u5916\uff0c\u56fe\u4efb\u52a1\u4e5f\u6709\u5f88\u591a\u79cd\uff0c\u4ece\u8282\u70b9\u95ee\u9898\uff08\u5982\u8282\u70b9\u5206\u7c7b\u548c\u8fde\u63a5\u9884\u6d4b\uff09\u5230\u56fe\u95ee\u9898\uff08\u5982\u56fe\u5206\u7c7b\u548c\u56fe\u751f\u6210\uff09\u4e0d\u4e00\u800c\u8db3\u3002\u591a\u53d8\u7684\u7ed3\u6784\u548c\u4efb\u52a1\u9700\u8981\u4e0d\u540c\u7684\u6a21\u578b\u67b6\u6784\u6765\u89e3\u51b3\u7279\u5b9a\u7684\u95ee\u9898\u3002<\/span><\/p>\n


<\/p>\n

\u53ef\u6269\u5c55\u6027\u548c\u5e76\u884c\u5316<\/span>\uff1a\u5728\u5927\u6570\u636e\u65f6\u4ee3\uff0c\u5b9e\u9645\u7684\u56fe\u6570\u636e\u5f88\u5bb9\u6613\u6269\u5c55\u6210\u6570\u767e\u4e07\u8282\u70b9\u548c\u8fb9\uff0c\u5982\u793e\u4ea4\u7f51\u7edc\u6216\u7535\u5546\u7f51\u7edc\u3002\u56e0\u6b64\uff0c\u5982\u4f55\u8bbe\u8ba1\u53ef\u6269\u5c55\u6a21\u578b\uff08\u6700\u597d\u5177\u5907\u7ebf\u6027\u65f6\u95f4\u590d\u6742\u5ea6\uff09\u6210\u4e3a\u5173\u952e\u7684\u95ee\u9898\u3002\u6b64\u5916\uff0c\u7531\u4e8e\u56fe\u4e2d\u7684\u8282\u70b9\u548c\u8fb9\u662f\u4e92\u8fde\u7684\uff0c\u901a\u5e38\u9700\u8981\u4f5c\u4e3a\u4e00\u4e2a\u6574\u4f53\u6765\u5efa\u6a21\uff0c\u56e0\u6b64\u5982\u4f55\u5b9e\u65bd\u5e76\u884c\u5316\u8ba1\u7b97\u662f\u53e6\u4e00\u4e2a\u5173\u952e\u95ee\u9898\u3002<\/span><\/p>\n


<\/p>\n

\u8de8\u5b66\u79d1<\/span>\uff1a\u56fe\u901a\u5e38\u4e0e\u5176\u4ed6\u5b66\u79d1\u6709\u5173\uff0c\u5982\u751f\u7269\u5b66\u3001\u5316\u5b66\u6216\u793e\u4f1a\u79d1\u5b66\u3002\u8fd9\u79cd\u8de8\u5b66\u79d1\u6027\u8d28\u63d0\u4f9b\u4e86\u673a\u4f1a\uff0c\u5f53\u7136\u4e5f\u6709\u6311\u6218\uff1a\u9886\u57df\u77e5\u8bc6\u53ef\u7528\u4e8e\u89e3\u51b3\u7279\u5b9a\u95ee\u9898\uff0c\u4f46\u96c6\u6210\u9886\u57df\u77e5\u8bc6\u53ef\u80fd\u4f7f\u6a21\u578b\u8bbe\u8ba1\u66f4\u96be\u3002\u4f8b\u5982\uff0c\u5728\u751f\u6210\u5206\u5b50\u56fe\u65f6\uff0c\u76ee\u6807\u51fd\u6570\u548c\u5316\u5b66\u7ea6\u675f\u901a\u5e38\u662f\u4e0d\u53ef\u5fae\u7684\uff0c\u56e0\u6b64\u65e0\u6cd5\u8f7b\u677e\u4f7f\u7528\u57fa\u4e8e\u68af\u5ea6\u7684\u8bad\u7ec3\u65b9\u6cd5\u3002<\/span><\/p>\n


<\/p>\n

\u4e3a\u4e86\u89e3\u51b3\u8fd9\u4e9b\u6311\u6218\uff0c\u7814\u7a76\u4eba\u5458\u4ed8\u51fa\u4e86\u5927\u91cf\u52aa\u529b\uff0c\u56e0\u6b64\u8be5\u9886\u57df\u6709\u5927\u91cf\u76f8\u5173\u8bba\u6587\u548c\u65b9\u6cd5\u7684\u6587\u732e\u3002\u4e4b\u524d\u7814\u7a76\u91c7\u7528\u7684\u67b6\u6784\u4e5f\u662f\u53d8\u5316\u4e07\u5343\uff0c\u4ece\u76d1\u7763\u5f0f\u65b9\u6cd5\u5230\u65e0\u76d1\u7763\u65b9\u6cd5\uff0c\u4ece\u5377\u79ef\u7f51\u7edc\u5230\u9012\u5f52\u7f51\u7edc\u90fd\u6709\u3002\u4f46\u662f\uff0c\u51e0\u4e4e\u6ca1\u6709\u4ec0\u4e48\u7814\u7a76\u7cfb\u7edf\u6027\u6982\u8ff0\u8fd9\u4e9b\u65b9\u6cd5\u4e4b\u95f4\u7684\u533a\u522b\u548c\u8054\u7cfb\u3002<\/span><\/p>\n


<\/p>\n

\u672c\u7814\u7a76\u5c1d\u8bd5\u901a\u8fc7\u5bf9\u56fe\u6df1\u5ea6\u5b66\u4e60\u65b9\u6cd5\u7684\u7efc\u8ff0\u586b\u8865\u8fd9\u4e00\u7a7a\u767d\u3002<\/span><\/p>\n


<\/span><\/p>\n

\"\u96c6\u667a\"<\/p>\n

\u56fe 1\uff1a\u56fe\u6df1\u5ea6\u5b66\u4e60\u65b9\u6cd5\u5206\u7c7b\u3002<\/span><\/strong><\/p>\n


<\/span><\/strong><\/p>\n

\u5982\u56fe 1 \u6240\u793a\uff0c\u8be5\u7814\u7a76\u5c06\u73b0\u6709\u65b9\u6cd5\u5206\u4e3a\u4e09\u4e2a\u5927\u7c7b\uff1a\u534a\u76d1\u7763\u65b9\u6cd5\u3001\u65e0\u76d1\u7763\u65b9\u6cd5\u548c\u8fd1\u671f\u8fdb\u5c55\u3002\u5177\u4f53\u6765\u8bf4\uff0c\u534a\u76d1\u7763\u65b9\u6cd5\u5305\u62ec\u56fe\u795e\u7ecf\u7f51\u7edc\uff08GNN\uff09\u548c\u56fe\u5377\u79ef\u7f51\u7edc\uff08GCN\uff09\uff0c\u65e0\u76d1\u7763\u65b9\u6cd5\u4e3b\u8981\u5305\u62ec\u56fe\u81ea\u7f16\u7801\u5668\uff08GAE\uff09\uff0c\u8fd1\u671f\u8fdb\u5c55\u5305\u62ec\u56fe\u5faa\u73af\u795e\u7ecf\u7f51\u7edc\u548c\u56fe\u5f3a\u5316\u5b66\u4e60\u3002\u8fd9\u4e9b\u65b9\u6cd5\u7684\u4e3b\u8981\u533a\u522b\u5982\u8868 1 \u6240\u793a\u3002<\/span><\/p>\n


<\/span><\/p>\n

\"\u96c6\u667a\"<\/p>\n

\u8868 1\uff1a\u56fe\u6df1\u5ea6\u5b66\u4e60\u65b9\u6cd5\u7684\u4e3b\u8981\u533a\u522b\u3002<\/span><\/strong><\/p>\n


<\/span><\/p>\n

\u5927\u4f53\u4e0a\uff0cGNN \u548c GCN \u662f\u534a\u76d1\u7763\u65b9\u6cd5\uff0c\u56e0\u4e3a\u5b83\u4eec\u5229\u7528\u8282\u70b9\u5c5e\u6027\u548c\u8282\u70b9\u6807\u7b7e\u7aef\u5230\u7aef\u5730\u8bad\u7ec3\u6a21\u578b\u53c2\u6570\uff0c\u800c GAE \u4e3b\u8981\u4f7f\u7528\u65e0\u76d1\u7763\u65b9\u6cd5\u5b66\u4e60\u8868\u5f81\u3002\u8fd1\u671f\u7684\u5148\u8fdb\u65b9\u6cd5\u4f7f\u7528\u5176\u5b83\u72ec\u7279\u7684\u7b97\u6cd5\uff08\u4e0d\u5f52\u5c5e\u524d\u4e24\u4e2a\u7c7b\u522b\uff09\u3002\u9664\u4e86\u8fd9\u4e9b\u9ad8\u5c42\u6b21\u7684\u533a\u522b\u5916\uff0c\u5728\u6a21\u578b\u67b6\u6784\u4e0a\u4e5f\u5b58\u5728\u5f88\u5927\u4e0d\u540c\u3002\u672c\u8bba\u6587\u4e3b\u8981\u6309\u7167\u8fd9\u4e9b\u65b9\u6cd5\u7684\u53d1\u5c55\u53f2\u548c\u5982\u4f55\u89e3\u51b3\u56fe\u95ee\u9898\u8fdb\u884c\u8be6\u7ec6\u7efc\u8ff0\u3002\u672c\u7814\u7a76\u8fd8\u5206\u6790\u4e86\u8fd9\u4e9b\u6a21\u578b\u7684\u533a\u522b\uff0c\u4ee5\u53ca\u5982\u4f55\u5408\u6210\u4e0d\u540c\u7684\u67b6\u6784\u3002\u6587\u7ae0\u6700\u540e\uff0c\u7b80\u5355\u6982\u8ff0\u4e86\u8fd9\u4e9b\u65b9\u6cd5\u7684\u5e94\u7528\u548c\u6f5c\u5728\u65b9\u5411\u3002<\/span><\/p>\n


<\/p>\n

\"\u96c6\u667a\"<\/p>\n

\u8868 2\uff1a\u5e38\u7528\u7b26\u53f7\u8868\u3002<\/span><\/strong><\/p>\n

\n


<\/p>\n


<\/p>\n

\n
\n
<\/p>\n

\u56fe\u795e\u7ecf\u7f51\u7edc\uff08GNN\uff09<\/span><\/strong><\/span><\/p>\n

<\/strong><\/section>\n<\/section>\n<\/section>\n<\/section>\n


<\/span><\/p>\n

\u8fd9\u90e8\u5206\u4ecb\u7ecd\u9002\u7528\u4e8e\u56fe\u6570\u636e\u7684\u6700\u521d\u534a\u76d1\u7763\u65b9\u6cd5\u2014\u2014\u56fe\u795e\u7ecf\u7f51\u7edc\uff08GNN\uff09\u3002<\/span><\/p>\n


<\/p>\n

GNN \u7684\u6765\u6e90\u53ef\u4ee5\u8ffd\u6eaf\u5230\u300c\u524d\u6df1\u5ea6\u5b66\u4e60\u300d\u65f6\u4ee3\u3002GNN \u7684\u601d\u8def\u5f88\u7b80\u5355\uff1a\u4e3a\u4e86\u7f16\u7801\u56fe\u7684\u7ed3\u6784\u4fe1\u606f\uff0c\u53ef\u4ee5\u7528\u4f4e\u7ef4\u72b6\u6001\u5411\u91cf s_i\uff081 \u2264 i \u2264 N\uff09\u8868\u793a\u6bcf\u4e2a\u8282\u70b9 v_i\u3002\u53d7\u9012\u5f52\u795e\u7ecf\u7f51\u7edc\u7684\u542f\u53d1\uff0c\u8fd9\u91cc\u91c7\u7528\u72b6\u6001\u7684\u9012\u5f52\u5b9a\u4e49\uff1a<\/span><\/p>\n


<\/p>\n

\"\u96c6\u667a\"<\/p>\n


<\/p>\n

\u5176\u4e2d F(\u00b7) \u662f\u5f85\u5b66\u4e60\u7684\u53c2\u6570\u51fd\u6570\u3002\u5f97\u5230 s_i \u4ee5\u540e\uff0c\u4f7f\u7528\u53e6\u4e00\u4e2a\u53c2\u6570\u51fd\u6570 O(\u00b7) \u83b7\u53d6\u6700\u7ec8\u8f93\u51fa\uff1a<\/span><\/p>\n


<\/p>\n

\"\u96c6\u667a\"<\/p>\n


<\/p>\n

\u5bf9\u4e8e\u56fe\u4efb\u52a1\uff0c\u8fd9\u4e9b\u7814\u7a76\u5efa\u8bae\u6dfb\u52a0\u4e00\u4e2a\u5bf9\u5e94\u6574\u4e2a\u56fe\u72ec\u7279\u5c5e\u6027\u7684\u7279\u6b8a\u8282\u70b9\u3002\u4e3a\u5b66\u4e60\u6a21\u578b\u53c2\u6570\uff0c\u53ef\u91c7\u7528\u4ee5\u4e0b\u534a\u76d1\u7763\u65b9\u6cd5\uff1a\u5728\u4f7f\u7528\u96c5\u5404\u6bd4\u65b9\u6cd5\u8fed\u4ee3\u5730\u6c42\u89e3 Eq. (1)\uff0c\u4f7f\u4e4b\u8fbe\u5230\u7a33\u5b9a\u70b9\u4e4b\u540e\uff0c\u4f7f\u7528 Almeida-Pineda \u7b97\u6cd5\u6267\u884c\u4e00\u4e2a\u68af\u5ea6\u4e0b\u964d\u6b65\uff0c\u4ee5\u6700\u5c0f\u5316\u4efb\u52a1\u7279\u5b9a\u7684\u76ee\u6807\u51fd\u6570\uff08\u4f8b\u5982\u56de\u5f52\u4efb\u52a1\u7684\u9884\u6d4b\u503c\u548c\u771f\u503c\u4e4b\u95f4\u7684\u5e73\u65b9\u8bef\u5dee\uff09\uff1b\u7136\u540e\uff0c\u91cd\u590d\u8be5\u8fc7\u7a0b\u76f4\u5230\u6536\u655b\u3002<\/span><\/p>\n


<\/p>\n

\u5728 Eqs. (1)(2) \u8fd9\u4e24\u4e2a\u7b80\u5355\u516c\u5f0f\u7684\u5e2e\u52a9\u4e0b\uff0cGNN \u626e\u6f14\u4e86\u4e24\u4e2a\u91cd\u8981\u89d2\u8272\u3002GNN \u7ed3\u5408\u4e86\u5904\u7406\u56fe\u6570\u636e\u7684\u4e00\u4e9b\u65e9\u671f\u65b9\u6cd5\uff0c\u5982\u9012\u5f52\u795e\u7ecf\u7f51\u7edc\u548c\u9a6c\u5c14\u53ef\u592b\u94fe\u3002GNN \u7684\u7406\u5ff5\u4e5f\u4e3a\u672a\u6765\u7814\u7a76\u63d0\u4f9b\u4e86\u4e00\u4e9b\u542f\u53d1\uff1a\u672a\u6765\u6211\u4eec\u4f1a\u53d1\u73b0\uff0c\u4e00\u4e9b\u5f53\u524d\u6700\u4f18\u7684 GCN \u5b9e\u9645\u4e0a\u5177\u5907\u4e0e Eq. (1) \u7c7b\u4f3c\u7684\u516c\u5f0f\uff0c\u540c\u65f6\u4e5f\u9075\u5faa\u4e0e\u8fd1\u90bb\u4ea4\u6362\u4fe1\u606f\u7684\u6846\u67b6\u3002\u4e8b\u5b9e\u4e0a\uff0cGNN \u548c GCN \u53ef\u4ee5\u88ab\u7edf\u4e00\u6210\u4e00\u4e2a\u6846\u67b6\uff0cGNN \u7b49\u540c\u4e8e\u4f7f\u7528\u76f8\u540c\u5c42\u5230\u8fbe\u7a33\u5b9a\u72b6\u6001\u7684 GCN\u3002<\/span><\/p>\n


<\/p>\n

\u5c3d\u7ba1 GNN \u7406\u8bba\u4e0a\u5f88\u91cd\u8981\uff0c\u5b83\u4e5f\u6709\u4e00\u4e9b\u7f3a\u9677\u3002\u9996\u5148\uff0c\u8981\u786e\u4fdd Eq. (1) \u6709\u552f\u4e00\u89e3\uff0cF(\u00b7) \u5fc5\u987b\u662f\u300c\u538b\u7f29\u6620\u5c04\u300d\uff08contraction map\uff09\uff0c\u8fd9\u4e25\u91cd\u9650\u5236\u4e86\u5efa\u6a21\u80fd\u529b\u3002\u5176\u6b21\uff0c\u7531\u4e8e\u68af\u5ea6\u4e0b\u964d\u6b65\u4e4b\u95f4\u9700\u8981\u5f88\u591a\u6b21\u8fed\u4ee3\uff0cGNN \u7684\u8ba1\u7b97\u6210\u672c\u9ad8\u6602\u3002\u7531\u4e8e\u8fd9\u4e9b\u7f3a\u9677\u3001\u7b97\u529b\u7684\u7f3a\u4e4f\uff08\u90a3\u65f6\u5019 GPU \u5e76\u672a\u5e7f\u6cdb\u7528\u4e8e\u6df1\u5ea6\u5b66\u4e60\uff09\u4ee5\u53ca\u7f3a\u4e4f\u7814\u7a76\u5174\u8da3\uff0c\u5f53\u65f6 GNN \u5e76\u4e0d\u4e3a\u793e\u533a\u6240\u719f\u77e5\u3002<\/span><\/p>\n


<\/p>\n

GNN \u7684\u4e00\u4e2a\u91cd\u5927\u6539\u8fdb\u662f\u95e8\u63a7\u56fe-\u5e8f\u5217\u795e\u7ecf\u7f51\u7edc\uff08Gated Graph Sequence Neural Network\uff0cGGS-NN\uff09[26]\u3002\u5176\u4f5c\u8005\u5c06 Eq. (1) \u7684\u9012\u5f52\u5b9a\u4e49\u6362\u6210\u4e86\u95e8\u63a7\u5faa\u73af\u5355\u5143\uff08GRU\uff09[27]\uff0c\u4ece\u800c\u79fb\u9664\u4e86\u5bf9\u300c\u538b\u7f29\u6620\u5c04\u300d\u7684\u9700\u6c42\uff0c\u5e76\u4e14\u8be5\u7f51\u7edc\u652f\u6301\u4f7f\u7528\u73b0\u4ee3\u4f18\u5316\u6280\u672f\u3002Eq. (1) \u88ab\u66ff\u6362\u6210\uff1a<\/span><\/p>\n


<\/p>\n

\"\u96c6\u667a\"<\/p>\n


<\/p>\n

GNN \u53ca\u5176\u6269\u5c55\u6709\u5f88\u591a\u5e94\u7528\u3002\u5982 CommNet [29] \u4f7f\u7528 GNN \u5b66\u4e60 AI \u7cfb\u7edf\u4e2d\u7684\u591a\u667a\u80fd\u4f53\u6c9f\u901a\uff0c\u5b83\u5c06\u6bcf\u4e2a\u667a\u80fd\u4f53\u4f5c\u4e3a\u4e00\u4e2a\u8282\u70b9\uff0c\u5e76\u5728\u6267\u884c\u52a8\u4f5c\u524d\u5148\u4e0e\u5176\u4ed6\u667a\u80fd\u4f53\u8fdb\u884c\u591a\u4e2a\u65f6\u95f4\u6b65\u7684\u6c9f\u901a\u6765\u66f4\u65b0\u667a\u80fd\u4f53\u72b6\u6001\u3002Interaction Network (IN) [30] \u4f7f\u7528 GNN \u8fdb\u884c\u7269\u7406\u63a8\u7406\uff0c\u5b83\u5c06\u5bf9\u8c61\u8868\u793a\u4e3a\u8282\u70b9\u3001\u5c06\u5173\u7cfb\u8868\u793a\u4e3a\u8fb9\u3001\u4f7f\u7528\u4f2a\u65f6\u95f4\u4f5c\u4e3a\u6a21\u62df\u7cfb\u7edf\u3002VAIN [31] \u5f15\u5165\u4e86\u6ce8\u610f\u529b\u673a\u5236\u6765\u8861\u91cf\u4e0d\u540c\u7684\u4ea4\u4e92\uff0c\u4ece\u800c\u6539\u8fdb\u4e86 CommNet \u548c IN\u3002\u5173\u7cfb\u7f51\u7edc (RN) [32] \u4f7f\u7528 GNN \u4f5c\u4e3a\u5173\u7cfb\u63a8\u7406\u6a21\u5757\uff0c\u6765\u589e\u5f3a\u5176\u4ed6\u795e\u7ecf\u7f51\u7edc\uff0c\u5728\u89c6\u89c9\u95ee\u7b54\u4efb\u52a1\u4e0a\u53d6\u5f97\u4e86\u4e0d\u9519\u7684\u7ed3\u679c\u3002<\/span><\/p>\n

\n


<\/p>\n


<\/p>\n

\n
\n
<\/p>\n

\u56fe\u5377\u79ef\u7f51\u7edc\uff08GCN\uff09<\/span><\/strong><\/span><\/p>\n

<\/strong><\/section>\n<\/section>\n<\/section>\n<\/section>\n


<\/span><\/p>\n

\"\u96c6\u667a\"<\/p>\n

\u8868 3\uff1a\u4e0d\u540c\u56fe\u5377\u79ef\u7f51\u7edc\uff08GCN\uff09\u7684\u5bf9\u6bd4\u3002<\/span><\/strong><\/p>\n

\n


<\/p>\n


<\/p>\n

\n
\n
<\/p>\n

\u56fe\u81ea\u7f16\u7801\u5668\uff08GAE\uff09<\/span><\/strong><\/span><\/p>\n

<\/strong><\/section>\n<\/section>\n<\/section>\n


<\/p>\n<\/section>\n

\u81ea\u7f16\u7801\u5668\uff08AE\uff09\u53ca\u5176\u53d8\u4f53\u5728\u65e0\u76d1\u7763\u5b66\u4e60\u4e2d\u5f97\u5230\u5e7f\u6cdb\u4f7f\u7528\uff0c\u5b83\u9002\u5408\u5728\u6ca1\u6709\u76d1\u7763\u4fe1\u606f\u7684\u60c5\u51b5\u4e0b\u5b66\u4e60\u56fe\u7684\u8282\u70b9\u8868\u5f81\u3002\u8fd9\u90e8\u5206\u9996\u5148\u4ecb\u7ecd\u56fe\u81ea\u7f16\u7801\u5668\uff0c\u7136\u540e\u4ecb\u7ecd\u56fe\u53d8\u5206\u81ea\u7f16\u7801\u5668\u548c\u5176\u4ed6\u6539\u8fdb\u7248\u53d8\u4f53\u3002<\/span><\/p>\n


<\/p>\n

GAE \u7684\u4e3b\u8981\u7279\u5f81\u89c1\u4e0b\u8868\uff1a<\/span><\/p>\n


<\/p>\n

\"\u96c6\u667a\"<\/p>\n

\u8868 4\uff1a\u4e0d\u540c\u56fe\u81ea\u7f16\u7801\u5668\uff08GAE\uff09\u7684\u5bf9\u6bd4\u3002<\/span><\/strong><\/p>\n


<\/p>\n

\u81ea\u7f16\u7801\u5668<\/span><\/strong><\/span><\/p>\n


<\/p>\n

\u7528\u4e8e\u56fe\u7684 AE \u6765\u6e90\u4e8e\u7a00\u758f\u81ea\u7f16\u7801\u5668\uff08Sparse Autoencoder\uff0cSAE\uff09\u3002\u5176\u57fa\u672c\u601d\u8def\u662f\uff0c\u5c06\u90bb\u63a5\u77e9\u9635\u6216\u5176\u53d8\u4f53\u4f5c\u4e3a\u8282\u70b9\u7684\u539f\u59cb\u7279\u5f81\uff0c\u4ece\u800c\u5c06 AE \u4f5c\u4e3a\u964d\u7ef4\u65b9\u6cd5\u6765\u5b66\u4e60\u4f4e\u7ef4\u8282\u70b9\u8868\u5f81\u3002\u5177\u4f53\u6765\u8bf4\uff0cSAE \u4f7f\u7528\u4ee5\u4e0b L2 \u91cd\u5efa\u635f\u5931\uff1a<\/span><\/p>\n


<\/p>\n

\"\u96c6\u667a\"<\/p>\n


<\/p>\n

\u5b9e\u9a8c\u8bc1\u660e SAE \u4f18\u4e8e\u975e\u6df1\u5ea6\u5b66\u4e60\u57fa\u7ebf\u6a21\u578b\u3002\u4f46\u662f\uff0c\u7531\u4e8e\u5176\u7406\u8bba\u5206\u6790\u4e0d\u6b63\u786e\uff0c\u652f\u6301\u5176\u6709\u6548\u6027\u7684\u5e95\u5c42\u673a\u5236\u5c1a\u672a\u5f97\u5230\u89e3\u91ca\u3002<\/span><\/p>\n


<\/p>\n

\u7ed3\u6784\u6df1\u5ea6\u7f51\u7edc\u5d4c\u5165\uff08Structure Deep Network Embedding\uff0cSDNE\uff09[76] \u89e3\u51b3\u4e86\u8fd9\u4e2a\u96be\u9898\uff0c\u5b83\u8868\u660e Eq. (35) \u4e2d\u7684 L2 \u91cd\u5efa\u635f\u5931\u5bf9\u5e94\u4e8c\u9636\u4f30\u8ba1\uff0c\u5373\u5982\u679c\u4e24\u4e2a\u8282\u70b9\u5177\u5907\u7c7b\u4f3c\u7684\u8fd1\u90bb\uff0c\u5219\u5b83\u4eec\u5171\u4eab\u7c7b\u4f3c\u7684\u9690\u85cf\u8868\u5f81\u3002\u53d7\u8868\u660e\u4e00\u9636\u4f30\u8ba1\u91cd\u8981\u6027\u7684\u7f51\u7edc\u5d4c\u5165\u65b9\u6cd5\u7684\u542f\u53d1\uff0cSDNE \u4fee\u6539\u4e86\u76ee\u6807\u51fd\u6570\uff0c\u6dfb\u52a0\u4e86\u4e00\u4e2a\u7c7b\u4f3c\u4e8e\u62c9\u666e\u62c9\u65af\u7279\u5f81\u6620\u5c04\u7684\u9879\uff1a<\/span><\/p>\n


<\/p>\n

\"\u96c6\u667a\"<\/p>\n


<\/p>\n

\"\u96c6\u667a\"<\/p>\n

\u56fe 7\uff1aSDNE \u6846\u67b6\u56fe\u3002\u8282\u70b9\u7684\u4e00\u9636\u4f30\u8ba1\u548c\u4e8c\u9636\u4f30\u8ba1\u90fd\u4f7f\u7528\u6df1\u5ea6\u81ea\u7f16\u7801\u5668\u6765\u4fdd\u5b58\u3002<\/span><\/strong><\/p>\n


<\/p>\n

\u53d7\u5230\u5176\u4ed6\u7814\u7a76\u7684\u542f\u53d1\uff0cDNGR [77] \u5c06 Eq. (35) \u4e2d\u7684\u8f6c\u6362\u77e9\u9635 P \u66ff\u6362\u6210\u968f\u673a surfing \u6982\u7387\u7684\u6b63\u9010\u70b9\u4e92\u4fe1\u606f\uff08PPMI\uff09\u77e9\u9635\u3002\u8fd9\u6837\uff0c\u539f\u59cb\u7279\u5f81\u53ef\u4ee5\u4e0e\u56fe\u7684\u968f\u673a\u6e38\u8d70\u6982\u7387\u5173\u8054\u8d77\u6765\u3002\u4f46\u662f\uff0c\u6784\u5efa\u8fd9\u6837\u7684\u8f93\u5165\u77e9\u9635\u9700\u8981 O(N^2 ) \u7684\u65f6\u95f4\u590d\u6742\u5ea6\uff0c\u65e0\u6cd5\u6269\u5c55\u5230\u5927\u89c4\u6a21\u56fe\u3002<\/span><\/p>\n


<\/p>\n

GC-MC [78] \u8fdb\u4e00\u6b65\u91c7\u53d6\u4e86\u4e0d\u540c\u7684\u81ea\u7f16\u7801\u5668\u65b9\u6cd5\uff0c\u5b83\u4f7f\u7528 [36] \u4e2d\u7684 GCN \u4f5c\u4e3a\u7f16\u7801\u5668\uff1a<\/span><\/p>\n


<\/p>\n

\"\u96c6\u667a\"<\/p>\n


<\/p>\n

\u89e3\u7801\u5668\u662f\u7b80\u5355\u7684\u53cc\u7ebf\u6027\u51fd\u6570\uff1a<\/span><\/p>\n


<\/p>\n

\"\u96c6\u667a\"<\/p>\n


<\/p>\n

DRNE [79] \u6ca1\u6709\u91cd\u5efa\u90bb\u63a5\u77e9\u9635\u6216\u5176\u53d8\u4f53\uff0c\u800c\u662f\u63d0\u51fa\u53e6\u4e00\u79cd\u4fee\u6539\uff1a\u4f7f\u7528 LSTM \u805a\u5408\u8fd1\u90bb\u4fe1\u606f\uff0c\u4ece\u800c\u76f4\u63a5\u91cd\u5efa\u8282\u70b9\u7684\u4f4e\u7ef4\u5411\u91cf\u3002\u5177\u4f53\u6765\u8bf4\uff0cDRNE \u6700\u5c0f\u5316\u4ee5\u4e0b\u76ee\u6807\u51fd\u6570\uff1a<\/span><\/p>\n


<\/p>\n

\"\u96c6\u667a\"<\/p>\n


<\/p>\n

\u4e0e\u4e4b\u524d\u7814\u7a76\u5c06\u8282\u70b9\u6620\u5c04\u5230\u4f4e\u7ef4\u5411\u91cf\u7684\u505a\u6cd5\u4e0d\u540c\uff0cGraph2Gauss (G2G) [80] \u63d0\u51fa\u5c06\u6bcf\u4e2a\u8282\u70b9\u7f16\u7801\u4e3a\u9ad8\u65af\u5206\u5e03 h_i = N (M(i, :), diag (\u03a3(i, :)))\uff0c\u4ee5\u6355\u83b7\u8282\u70b9\u7684\u4e0d\u786e\u5b9a\u6027\u3002\u5177\u4f53\u6765\u8bf4\uff0c\u4f5c\u8005\u5c06\u4ece\u8282\u70b9\u5c5e\u6027\u5230\u9ad8\u65af\u5206\u5e03\u5747\u503c\u548c\u65b9\u5dee\u7684\u6df1\u5ea6\u6620\u5c04\u4f5c\u4e3a\u7f16\u7801\u5668\uff1a<\/span><\/p>\n


<\/p>\n

\"\u96c6\u667a\"<\/p>\n


<\/p>\n

\u53d8\u5206\u81ea\u7f16\u7801\u5668<\/span><\/strong><\/span><\/p>\n


<\/p>\n

\u4e0e\u4e4b\u524d\u7684\u81ea\u7f16\u7801\u5668\u4e0d\u540c\uff0c\u53d8\u5206\u81ea\u7f16\u7801\u5668\uff08VAE\uff09\u662f\u53e6\u4e00\u79cd\u5c06\u964d\u7ef4\u4e0e\u751f\u6210\u6a21\u578b\u7ed3\u5408\u7684\u6df1\u5ea6\u5b66\u4e60\u65b9\u6cd5\u3002VAE \u9996\u6b21\u5728 [81] \u4e2d\u63d0\u51fa\u7528\u4e8e\u5efa\u6a21\u56fe\u6570\u636e\uff0c\u5176\u89e3\u7801\u5668\u662f\u4e00\u4e2a\u7b80\u5355\u7684\u7ebf\u6027\u4e58\u79ef\uff1a<\/span><\/p>\n


<\/p>\n

\"\u96c6\u667a\"<\/p>\n


<\/p>\n

\u81f3\u4e8e\u5747\u503c\u548c\u65b9\u5dee\u77e9\u9635\u7684\u7f16\u7801\u5668\uff0c\u4f5c\u8005\u91c7\u7528 [36] \u4e2d\u7684 GCN\uff1a<\/span><\/p>\n


<\/p>\n

\"\u96c6\u667a\"<\/p>\n


<\/p>\n

\u7531\u4e8e\u5b8c\u6574\u56fe\u9700\u8981\u91cd\u5efa\uff0c\u5176\u65f6\u95f4\u590d\u6742\u5ea6\u4e3a O(N^2)\u3002<\/span><\/p>\n


<\/p>\n

\u53d7 SDNE \u548c G2G \u7684\u542f\u53d1\uff0cDVNE [82] \u63d0\u51fa\u53e6\u4e00\u4e2a\u7528\u4e8e\u56fe\u6570\u636e\u7684 VAE\uff0c\u5b83\u4e5f\u5c06\u6bcf\u4e2a\u8282\u70b9\u8868\u793a\u4e3a\u9ad8\u65af\u5206\u5e03\u3002\u4f46\u4e0e\u4e4b\u524d\u4f7f\u7528 KL \u6563\u5ea6\u4f5c\u4e3a\u5ea6\u91cf\u7684\u7814\u7a76\u4e0d\u540c\uff0cDVNE \u4f7f\u7528 Wasserstein \u8ddd\u79bb\u6765\u4fdd\u7559\u8282\u70b9\u76f8\u4f3c\u5ea6\u7684\u4f20\u9012\u6027\u3002\u4e0e SDNE \u548c G2G \u7c7b\u4f3c\uff0cDVNE \u4e5f\u5728\u76ee\u6807\u51fd\u6570\u4e2d\u4fdd\u7559\u4e00\u9636\u4f30\u8ba1\u548c\u4e8c\u9636\u4f30\u8ba1\uff1a<\/span><\/p>\n


<\/p>\n

\"\u96c6\u667a\"<\/p>\n


<\/p>\n

\u91cd\u5efa\u635f\u5931\u4e3a\uff1a<\/span><\/p>\n


<\/p>\n

\"\u96c6\u667a\"<\/p>\n


<\/p>\n

\"\u96c6\u667a\"<\/p>\n

\u56fe 8\uff1aDVNE \u6846\u67b6\u56fe\u3002DVNE \u4f7f\u7528 VAE \u5c06\u8282\u70b9\u8868\u793a\u4e3a\u9ad8\u65af\u5206\u5e03\uff0c\u5e76\u91c7\u7528 Wasserstein \u8ddd\u79bb\u6765\u4fdd\u7559\u8282\u70b9\u76f8\u4f3c\u5ea6\u7684\u4f20\u9012\u6027\u3002<\/span><\/strong><\/p>\n


<\/p>\n

\u5176\u4ed6\u6539\u8fdb<\/span><\/strong><\/span><\/p>\n


<\/p>\n

\"\u96c6\u667a\"<\/p>\n

\u56fe 9\uff1aARGA\/ARVGA \u6846\u67b6\u56fe\u3002\u8be5\u65b9\u6cd5\u5411 GAE \u6dfb\u52a0\u4e86\u5bf9\u6297\u8bad\u7ec3\u673a\u5236\u3002\uff08\u56fe\u4e2d\u7684\u7b26\u53f7\u4e0e\u672c\u6587\u4e3b\u9898\u7565\u6709\u4e0d\u540c\uff0c\u56fe\u4e2d\u7684 X \u548c Z \u5206\u522b\u5bf9\u5e94 F^V and H\u3002<\/span><\/strong><\/span><\/p>\n

\n


<\/p>\n


<\/p>\n

\n
\n
<\/p>\n

\u8fd1\u671f\u8fdb\u5c55<\/span><\/strong><\/span><\/p>\n

<\/strong><\/section>\n<\/section>\n<\/section>\n


<\/p>\n<\/section>\n

\u4e0b\u8868\u5c55\u793a\u4e86\u8fd1\u671f\u8fdb\u5c55\u4e2d\u591a\u79cd\u65b9\u6cd5\u7684\u7279\u5f81\u3002<\/span><\/p>\n


<\/p>\n

\"\u96c6\u667a\"<\/p>\n


<\/p>\n

\u56fe\u5faa\u73af\u795e\u7ecf\u7f51\u7edc\uff08Graph RNN\uff09<\/span><\/strong><\/span><\/p>\n


<\/p>\n

You et al. [94] \u5c06 Graph RNN \u5e94\u7528\u5230\u56fe\u751f\u6210\u95ee\u9898\u4e2d\u3002\u4ed6\u4eec\u4f7f\u7528\u4e24\u4e2a RNN\uff0c\u4e00\u4e2a\u7528\u4e8e\u751f\u6210\u65b0\u8282\u70b9\uff0c\u53e6\u4e00\u4e2a\u81ea\u56de\u5f52\u5730\u4e3a\u65b0\u6dfb\u52a0\u7684\u8282\u70b9\u751f\u6210\u8fb9\u3002\u4ed6\u4eec\u5c55\u793a\u4e86\u8fd9\u79cd\u5206\u5c42 RNN \u67b6\u6784\u53ef\u4ee5\u4ece\u8f93\u5165\u56fe\u4e2d\u9ad8\u6548\u5b66\u4e60\uff0c\u4e14\u65f6\u95f4\u590d\u6742\u5ea6\u4e5f\u662f\u53ef\u63a5\u53d7\u7684\u3002<\/span><\/p>\n


<\/p>\n

\u52a8\u6001\u56fe\u795e\u7ecf\u7f51\u7edc\uff08Dynamic Graph Neural Network\uff0cDGNN\uff09[95] \u4f7f\u7528\u65f6\u95f4\u611f\u77e5 LSTM [100] \u6765\u5b66\u4e60\u52a8\u6001\u56fe\u4e2d\u7684\u8282\u70b9\u8868\u5f81\u3002\u5728\u5efa\u7acb\u65b0\u7684\u8fb9\u4e4b\u540e\uff0cDGNN \u4f7f\u7528 LSTM \u66f4\u65b0\u4e24\u4e2a\u4ea4\u4e92\u8282\u70b9\uff08interacting node\uff09\u53ca\u5176\u76f4\u63a5\u8fd1\u90bb\u7684\u8868\u5f81\uff0c\u5373\u8003\u8651\u4e00\u6b65\u4f20\u64ad\u6548\u5e94\uff08one-step propagation effect\uff09\u3002\u4f5c\u8005\u5c55\u793a\u4e86\u65f6\u95f4\u611f\u77e5 LSTM \u53ef\u4ee5\u5f88\u597d\u5730\u5efa\u6a21\u8fb9\u7ed3\u6784\u7684\u5df2\u5efa\u7acb\u987a\u5e8f\u4ee5\u53ca\u65f6\u95f4\u95f4\u9694\uff0c\u8fd9\u53cd\u8fc7\u6765\u60e0\u53ca\u5927\u91cf\u56fe\u5e94\u7528\u3002<\/span><\/p>\n


<\/p>\n

\u4e5f\u53ef\u4ee5\u5c06 Graph RNN \u7ed3\u5408\u5176\u4ed6\u67b6\u6784\uff0c\u5982 GCN \u6216 GAE\u3002\u4f8b\u5982\uff0cRMGCNN [96] \u5c06 LSTM \u5e94\u7528\u4e8e GCN \u7684\u7ed3\u679c\uff0c\u4ee5\u6e10\u8fdb\u5730\u91cd\u5efa\u56fe\uff08\u5982\u56fe 10 \u6240\u793a\uff09\u3002\u8be5\u65b9\u6cd5\u65e8\u5728\u89e3\u51b3\u56fe\u7a00\u758f\u6027\u95ee\u9898\u3002\u52a8\u6001 GCN [97] \u4f7f\u7528 LSTM \u6536\u96c6\u52a8\u6001\u7f51\u7edc\u4e2d\u4e0d\u540c\u65f6\u95f4\u7247\u7684 GCN \u7ed3\u679c\uff0c\u65e8\u5728\u6355\u83b7\u65f6\u7a7a\u56fe\u4fe1\u606f\u3002<\/span><\/p>\n


<\/p>\n

\"\u96c6\u667a\"<\/p>\n

\u56fe 10\uff1aRMGCNN \u67b6\u6784\u56fe\u3002RMGCNN \u5c06 LSTM \u6dfb\u52a0\u5230 GCN \u4e2d\uff0c\u4ee5\u6e10\u8fdb\u5730\u91cd\u5efa\u56fe\u3002<\/span><\/strong><\/p>\n


<\/p>\n

\u56fe\u5f3a\u5316\u5b66\u4e60<\/span><\/strong><\/span><\/p>\n


<\/p>\n

GCPN [98] \u4f7f\u7528\u5f3a\u5316\u5b66\u4e60\u6267\u884c\u76ee\u6807\u5bfc\u5411\u7684\u6a21\u5757\u5316\u56fe\u751f\u6210\u4efb\u52a1\uff0c\u4ee5\u5904\u7406\u4e0d\u53ef\u5fae\u76ee\u6807\u548c\u7ea6\u675f\u3002\u5177\u4f53\u6765\u8bf4\uff0c\u4f5c\u8005\u5c06\u56fe\u751f\u6210\u5efa\u6a21\u4e3a\u9a6c\u5c14\u53ef\u592b\u51b3\u7b56\u8fc7\u7a0b\uff0c\u5c06\u751f\u6210\u6a21\u578b\u4f5c\u4e3a\u5728\u56fe\u751f\u6210\u73af\u5883\u4e2d\u8fd0\u884c\u7684\u5f3a\u5316\u5b66\u4e60\u667a\u80fd\u4f53\u3002GCPN \u5c06\u7c7b\u4f3c\u667a\u80fd\u4f53\u52a8\u4f5c\u4f5c\u4e3a\u8fde\u63a5\u9884\u6d4b\u95ee\u9898\uff0c\u4f7f\u7528\u9886\u57df\u7279\u5b9a\u5956\u52b1\u548c\u5bf9\u6297\u5956\u52b1\uff0c\u4f7f\u7528 GCN \u6765\u5b66\u4e60\u8282\u70b9\u8868\u5f81\uff0c\u4ece\u800c\u901a\u8fc7\u7b56\u7565\u68af\u5ea6\u65b9\u6cd5\u5b9e\u73b0\u7aef\u5230\u7aef\u5730\u8bad\u7ec3\u3002\u5b9e\u9a8c\u7ed3\u679c\u8bc1\u660e GCPN \u5728\u591a\u79cd\u56fe\u751f\u6210\u95ee\u9898\u4e0a\u7684\u6709\u6548\u6027\u3002<\/span><\/p>\n


<\/p>\n

MolGAN [99] \u91c7\u53d6\u4e86\u7c7b\u4f3c\u7684\u601d\u8def\uff0c\u5b83\u4f7f\u7528\u5f3a\u5316\u5b66\u4e60\u6765\u751f\u6210\u6a21\u5757\u5316\u56fe\u3002\u4e0d\u8fc7\u5b83\u4e0d\u662f\u901a\u8fc7\u4e00\u7cfb\u5217\u52a8\u4f5c\u6765\u751f\u6210\u56fe\uff0c\u800c\u662f\u76f4\u63a5\u751f\u6210\u6574\u4e2a\u56fe\uff0c\u8be5\u65b9\u6cd5\u6bd4\u8f83\u9002\u7528\u4e8e\u5c0f\u5206\u5b50\u3002<\/span><\/p>\n

\n


<\/p>\n


<\/p>\n

\n
\n
<\/p>\n

\u7ed3\u8bba\u4e0e\u8ba8\u8bba<\/span><\/strong><\/span><\/p>\n

<\/strong><\/section>\n<\/section>\n<\/section>\n<\/section>\n


<\/span><\/p>\n

\u5e94\u7528\u3002\u9664\u4e86\u6807\u51c6\u7684\u56fe\u63a8\u65ad\u4efb\u52a1\uff08\u5982\u8282\u70b9\u5206\u7c7b\u6216\u56fe\u5206\u7c7b\uff09\u57fa\u4e8e\u56fe\u7684\u6df1\u5ea6\u5b66\u4e60\u65b9\u6cd5\u8fd8\u88ab\u5e94\u7528\u4e8e\u5927\u91cf\u5b66\u79d1\uff0c\u5982\u5efa\u6a21\u793e\u4f1a\u5f71\u54cd\u529b [103]\u3001\u63a8\u8350 [51], [78], [96]\u3001\u5316\u5b66 [37], [41], [50], [98], [99]\u3001\u7269\u7406 [104], [105]\u3001\u75be\u75c5\u9884\u6d4b\u6216\u836f\u7269\u9884\u6d4b [106]\u2013[108]\u3001\u81ea\u7136\u8bed\u8a00\u5904\u7406 [109], [110]\u3001\u8ba1\u7b97\u673a\u89c6\u89c9 [111]\u2013[114]\u3001\u4ea4\u901a\u9884\u6d4b [115], [116]\u3001\u7a0b\u5e8f\u5f52\u7eb3 [117]\uff0c\u4ee5\u53ca\u89e3\u51b3\u57fa\u4e8e\u56fe\u7684 NP \u95ee\u9898 [118], [119]\u3002<\/span><\/p>\n


<\/p>\n

\u8fd8\u6709\u4e00\u4e9b\u503c\u5f97\u8ba8\u8bba\u7684\u65b9\u5411\uff1a<\/span><\/p>\n


<\/p>\n