{"id":2276,"date":"2024-10-10T17:09:36","date_gmt":"2024-10-10T09:09:36","guid":{"rendered":"https:\/\/www.gnn.club\/?p=2276"},"modified":"2024-10-11T08:52:15","modified_gmt":"2024-10-11T00:52:15","slug":"graph-attention-network%ef%bc%88gat%ef%bc%89","status":"publish","type":"post","link":"http:\/\/www.gnn.club\/?p=2276","title":{"rendered":"Graph Attention Network\uff08GAT\uff09"},"content":{"rendered":"\n

\u63a5\u4e0b\u6765\u4ecb\u7ecd\u56fe\u6ce8\u610f\u529b\u7f51\u7edcGAT\uff0cGAT\u53ef\u4ee5\u6709\u4e24\u79cd\u8fd0\u7b97\u65b9\u5f0f\uff0c\u4e00\u79cd\u88ab\u79f0\u4e3a\u5168\u5c40\u6ce8\u610f\u529b\uff08Global Graph Attention\uff09\uff0c\u987e\u540d\u601d\u4e49\uff0c\u5c31\u662f\u6bcf\u4e00\u4e2a\u9876\u70b9\u90fd\u5bf9\u4e8e\u56fe\u4e0a\u4efb\u610f\u9876\u70b9\u90fd\u8fdb\u884cAttention\u8fd0\u7b97\u3002\u8fd9\u6837\u505a\u7684\u4f18\u70b9\u662f\u5b8c\u5168\u4e0d\u4f9d\u8d56\u4e8e\u56fe\u7684\u7ed3\u6784\uff0c\u5373\u4e0d\u4f9d\u8d56\u56fe\u7684\u90bb\u63a5\u77e9\u9635\uff0c\u5bf9\u4e8eInductive\u4efb\u52a1\u65e0\u538b\u529b\u3002\u7f3a\u70b9\u4e5f\u5f88\u660e\u663e\uff1a\u9996\u5148\uff0c\u4e22\u6389\u4e86\u56fe\u7ed3\u6784\u7684\u7279\u5f81\u3002\u5176\u6b21\uff0c\u5f53\u56fe\u6570\u636e\u89c4\u6a21\u5f88\u5927\u7684\u65f6\u5019\uff0c\u8fd0\u7b97\u9762\u4e34\u7740\u9ad8\u6602\u7684\u6210\u672c\u3002\u7b2c\u4e8c\u79cd\u88ab\u79f0\u4e3a\u63a9\u7801\u56fe\u6ce8\u610f\u529b\u673a\u5236\uff08Mask Graph Attention\uff09\uff0c\u6bcf\u4e2a\u8282\u70b9\u7684Attention\u8ba1\u7b97\u4ec5\u9650\u4e8e\u5176\u90bb\u63a5\u8282\u70b9\uff08\u5373\u90bb\u63a5\u77e9\u9635\u6240\u5b9a\u4e49\u7684\u76f4\u63a5\u8fde\u63a5\uff09\u3002\u8fd9\u6837\u505a\u4fdd\u7559\u4e86\u56fe\u7684\u7ed3\u6784\u7279\u6027\uff0c\u5e76\u5229\u7528\u4e86\u5c40\u90e8\u90bb\u57df\u4fe1\u606f\u3002\u4e0e\u5168\u5c40\u6ce8\u610f\u529b\u76f8\u6bd4\uff0c\u63a9\u7801\u56fe\u6ce8\u610f\u529b\u673a\u5236\u5927\u5927\u964d\u4f4e\u4e86\u8ba1\u7b97\u6210\u672c\uff0c\u56e0\u4e3a\u6bcf\u4e2a\u8282\u70b9\u53ea\u4e0e\u5176\u76f4\u63a5\u90bb\u5c45\u8fdb\u884c\u4ea4\u4e92\uff0c\u800c\u4e0d\u662f\u56fe\u4e2d\u7684\u6240\u6709\u8282\u70b9\u3002\u8fd9\u79cd\u65b9\u5f0f\u6709\u6548\u5730\u5229\u7528\u4e86\u56fe\u7684\u62d3\u6251\u7ed3\u6784\uff0c\u53ef\u4ee5\u6355\u6349\u5230\u8282\u70b9\u4e4b\u95f4\u7684\u5c40\u90e8\u5173\u7cfb\uff0c\u8fd9\u5bf9\u4e8e\u8bb8\u591a\u56fe\u6570\u636e\u5206\u6790\u4efb\u52a1\u662f\u975e\u5e38\u6709\u4ef7\u503c\u7684\u3002\u503c\u5f97\u6ce8\u610f\u7684\u662f\uff0c\u867d\u7136\u5728\u63a9\u7801\u56fe\u6ce8\u610f\u529b\u673a\u5236\u7684GAT\u4e2d\u7528\u5230\u4e86\u90bb\u63a5\u77e9\u9635\uff0c\u4f46\u662f\u5e76\u4e0d\u50cfGCN\u4e00\u6837\u662f\u5229\u7528\u5168\u90e8\u7684\u90bb\u63a5\u77e9\u9635\u4fe1\u606f\uff0c\u800c\u662f\u4ec5\u5229\u7528\u90bb\u63a5\u77e9\u9635\u67e5\u8be2\u67d0\u8282\u70b9\u7684\u90bb\u5c45\u662f\u8c01\u3002\u56e0\u6b64\u53ef\u4ee5\u6765\u5904\u7406Inductive\u4efb\u52a1\u3002\u6362\u53e5\u8bdd\u8bf4\uff0cGAT\u4e2d\u8282\u70b9\u53ef\u4ee5\u901a\u8fc7\u6ce8\u610f\u529b\u6743\u91cd\u52a8\u6001\u5730\u9009\u62e9\u5176\u4fe1\u606f\u7684\u91cd\u8981\u6765\u6e90\uff0c\u5373\u5b83\u7684\u90bb\u5c45\u3002\u8fd9\u4e9b\u6743\u91cd\u662f\u7531\u6a21\u578b\u901a\u8fc7\u5b66\u4e60\u81ea\u52a8\u786e\u5b9a\u7684\uff0c\u5e76\u4e0d\u4f9d\u8d56\u4e8e\u9884\u5148\u5b9a\u4e49\u7684\u7ed3\u6784\u3002\u8fd9\u4e00\u70b9\u533a\u522b\u4e8eGCN\uff0c\u540e\u8005\u4f7f\u7528\u7684\u662f\u56fa\u5b9a\u7684\u90bb\u63a5\u77e9\u9635\u52a0\u81ea\u73af\u7684\u5f52\u4e00\u5316\u5f62\u5f0f\u6765\u786e\u5b9a\u8282\u70b9\u4e4b\u95f4\u4fe1\u606f\u4f20\u9012\u7684\u6743\u91cd\u3002<\/p>\n\n\n\n

\u63a5\u4e0b\u6765\u4e3b\u8981\u8bb2\u89e3GAT\u4e2d\u7684 Attention\u673a\u5236\u3002\u7c7b\u4f3c\u4e8eTransformer\u4e2d\u7684\u6ce8\u610f\u529b\u673a\u5236\uff0cGAT\u7684\u8ba1\u7b97\u4e5f\u5206\u4e3a\u4e24\u6b65\uff1a\u8ba1\u7b97\u6ce8\u610f\u529b\u7cfb\u6570\uff08Attention Coefficient\uff09\u548c\u52a0\u6743\u6c42\u548c\uff08Aggregate\uff09\u8fdb\u884c\u7279\u5f81\u91cd\u8981\u7a0b\u5ea6\u7684\u91cd\u5206\u914d\u3002\u5bf9\u4e8e\u9876\u70b9i<\/em>\uff0c\u9010\u4e2a\u8ba1\u7b97\u5b83\u7684\u90bb\u5c45\u4eec\uff08\\(j\\in N_{i}\\)\uff09\u548c\u5b83\u7684\u6ce8\u610f\u529b\u7cfb\u6570\\(e_{ij}=\\alpha([Wh_i\\parallel Wh_j]),j\\in\\mathcal{N}_i\\)\uff0c\u5177\u4f53\u6d41\u7a0b\u5982\u56fe1\u6240\u793a\u3002<\/p>\n\n\n

\n
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\u56fe1 GAT attention\u673a\u5236<\/figcaption><\/figure><\/div>\n\n\n

\u5728\u56fe1\u4e2d\\(h_{i}^{l}\\)\u662f\u8282\u70b9i<\/em>\u7684\u7279\u5f81\u5411\u91cf\uff0c\\({h_j^l}\\)\u662f\u7684\u8282\u70b9i<\/em>\u6240\u6709\u90bb\u5c45\u7684\u7279\u5f81\u5411\u91cf\u7684\u96c6\u5408\uff0cW<\/em><\/strong>\u662f\u4e00\u4e2a\u5171\u4eab\u53c2\u6570\uff0c\u901a\u8fc7\u4e00\u4e2a\u5355\u5c42\u7684\u795e\u7ecf\u7f51\u7edc\u5c42\u6765\u5b9e\u73b0\u3002\\([\\cdot||\\cdot]\\)\u4ee3\u8868\u5bf9\u8282\u70b9i,j<\/em>\u7ecf\u8fc7\u795e\u7ecf\u7f51\u7edc\u5c42W<\/em><\/strong>\u53d8\u6362\u540e\u7684\u7279\u5f81\u8fdb\u884c\u62fc\u63a5\u64cd\u4f5c\uff08Concat\uff09\u3002\u6700\u540e\u901a\u8fc7\\(\\alpha\\)\u628a\u62fc\u63a5\u540e\u7684\u9ad8\u7ef4\u7279\u5f81\u6620\u5c04\u5230\u4e00\u4e2a\u5b9e\u6570\u4e0a\uff0c\u4e5f\u662f\u901a\u8fc7\u4e00\u4e2a\u5355\u5c42\u7684\u795e\u7ecf\u7f51\u7edc\u5c42\u6765\u5b9e\u73b0\u3002\u663e\u7136\u5b66\u4e60\u8282\u70b9i,j<\/em>\u4e4b\u95f4\u7684\u76f8\u5173\u6027\u7cfb\u6570\uff0c\u5c31\u662f\u901a\u8fc7\u53ef\u5b66\u4e60\u7684\u795e\u7ecf\u7f51\u7edc\u5c42\u7684\u53c2\u6570W<\/em><\/strong>\u548c\\(\\alpha\\)\u6620\u5c04\u5b8c\u6210\u7684\u3002\u6709\u4e86\u76f8\u5173\u7cfb\u6570\uff0c\u518d\u5bf9\u5176\u8fdb\u884cSoftmax\u5f52\u4e00\u5316\u64cd\u4f5c\u5373\u53ef\u5f97\u5230\u6ce8\u610f\u529b\u7cfb\u6570\\(\\alpha_{ij}\\)\u3002\u81f3\u4e8e\u52a0\u6743\u6c42\u548c\u7684\u5b9e\u73b0\u4e5f\u5f88\u7b80\u5355\uff0c\u6839\u636e\u8ba1\u7b97\u597d\u7684\u6ce8\u610f\u529b\u7cfb\u6570\uff0c\u628a\u7279\u5f81\u52a0\u6743\u6c42\u548c\u805a\u5408\uff08Aggregate\uff09\u4e00\u4e0b\u3002\u5373\uff1a<\/p>\n\n\n

\\(h_i'=\\sigma(\\sum_{j\\in\\mathcal{N}_i}\\alpha_{ij}Wh_j)\\)<\/p>\n\n\n

\\(h_i^{\\prime}\\)\u5c31\u662fGAT \u8f93\u51fa\u7684\u5bf9\u4e8e\u6bcf\u4e2a\u8282\u70b9i<\/em>\u7684\u65b0\u7279\u5f81\uff0c\u8fd9\u4e2a\u65b0\u7279\u5f81\u7684\u5411\u91cf\u8868\u793a\u878d\u5408\u4e86\u90bb\u57df\u4fe1\u606f\uff0c\\(\\sigma(\\cdot)\\)\u662f\u6fc0\u6d3b\u51fd\u6570\u3002\u6700\u540e\uff0c\u4e0eTransformer\u4e00\u6837\uff0cGAT\u4e5f\u53ef\u4ee5\u7528\u591a\u5934\u6ce8\u610f\u529b\u673a\u5236\u6765\u8fdb\u5316\u589e\u5f3a\uff1a<\/p>\n\n\n

\\(h'_i(K)=\\|_{k=1}^K\\sigma(\\sum_{j\\in\\mathcal{N}_i}\\alpha_{ij}^kW^kh_j)\\)<\/p>\n\n\n

\u5176\u4e2dK<\/em>\u662f\u6ce8\u610f\u529b\u673a\u5236\u7684\u5934\u6570\uff0c\u6bcf\u4e2a\u5934\u90fd\u4f1a\u7ef4\u62a4\u66f4\u65b0\u81ea\u5df1\u7684\u53c2\u6570\uff0c\u8ba1\u7b97\u5f97\u5230\u81ea\u5df1\u7684\u7ed3\u679c\uff0c\\(||_{k-1}^K\\)\u8868\u793a\u5c06\u6240\u6709\u5934\u7684\u8ba1\u7b97\u7ed3\u679c\u8fdb\u884c\u62fc\u63a5\uff08Concat\uff09\u5f97\u5230\u6700\u540e\u66f4\u65b0\u597d\u7684\u65b0\u8282\u70b9\u5411\u91cf\u3002\u591a\u5934\u6ce8\u610f\u529b\u673a\u5236\u4e5f\u53ef\u4ee5\u7406\u89e3\u6210\u7528\u4e86\u96c6\u6210\u5b66\u4e60\u7684\u65b9\u6cd5\uff0c\u5c31\u50cf\u5377\u79ef\u4e2d\uff0c\u4e5f\u8981\u9760\u5927\u91cf\u7684\u5377\u79ef\u6838\u624d\u80fd\u6709\u6bd4\u8f83\u597d\u7684\u7279\u5f81\u63d0\u53d6\u6548\u679c\u4e00\u6837\u3002\u6700\u540e\u901a\u8fc7\u4e00\u4e2a\u793a\u4f8b\u6765\u590d\u4e60\u4e00\u4e0bGAT\u7684\u8ba1\u7b97\u8fc7\u7a0b\uff0c\u56fe\u6570\u636e\u5982\u56fe2\u6240\u793a\u3002<\/p>\n\n\n

\n
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\u56fe2 \u56fe\u6570\u636e<\/figcaption><\/figure><\/div>\n\n\n

\u8ba1\u7b97\u6ce8\u610f\u529b\u7cfb\u6570\u7684\u4e24\u4e2a\u795e\u7ecf\u7f51\u7edc\u5c42\u7684\u53c2\u6570\u5206\u522b\u662fW<\/em><\/strong>\u548c\\(\\alpha\\)\uff0c\u5047\u8bbe\u5176\u521d\u59cb\u5316\u7684\u503c\u4e3aW=[1,1],\\(\\alpha\\)=[1,1,1,1]\u3002\u6ce8\u610f\uff0c\u8fd9\u4e9b\u53c2\u6570\u90fd\u662f\u53ef\u5b66\u4e60\u7684\uff0c\u968f\u7740\u7f51\u7edc\u7684\u8bad\u7ec3\u800c\u66f4\u65b0\u3002\u9996\u5148\uff0c\u8ba1\u7b97\u6ce8\u610f\u529b\u7cfb\u6570\\(e_{ij}=\\alpha(Wh_i,Wh_j)\\)\uff0c\u4ee5\u8282\u70b91\u4e3a\u4f8b\uff0c\u4e0e\u5176\u5b83\u8282\u70b9\u7684\u76f8\u5173\u6027\u7cfb\u6570\u4e3a\uff1a<\/p>\n\n\n

\\(\\begin{aligned}
&e_{12}=\\alpha\\cdot[0.1,0.2,0.2,0.2]=0.7 \\\\
&e_{13}=\\alpha\\cdot[0.1,0.2,0.25,0.2]=0.75 \\\\
&e_{14}=0 \\\\
&e_{15}=\\alpha\\cdot[0.1,0.2,0.3,0.8]=1.4 \\\\
&e_{16}=\\alpha\\cdot[0.1,0.2,0.5,0.6]=1.4
\\end{aligned}\\)<\/p>\n\n\n

\\(e_{14}\\)\u7531\u4e8e\u5355\u5411\u6027\uff0c\u5373\u8282\u70b91\u6307\u54114\uff0c\u56e0\u6b64\u5728\u8ba1\u7b97\u66f4\u65b0\u8282\u70b91\u7684\u4fe1\u606f\u65f6\uff0c\u8282\u70b94\u7684\u4fe1\u606f\u4e0d\u4f1a\u4f20\u9012\u7ed9\u8282\u70b91\uff0c\u56e0\u6b64\u5176\u76f8\u5173\u6027\\(e_{14}\\)\u4e3a\u96f6\u3002\u7136\u540e\u901a\u8fc7Softmax\u516c\u5f0f\u8ba1\u7b97\u5f97\u5230\u76f8\u5173\u6027\u7cfb\u6570\uff1a<\/p>\n\n\n

\\(\\alpha_{ij}=\\frac{\\exp(LeakyReLU(\\vec{a}^T[W\\vec{h}_i\\parallel W\\vec{h}_j]))}{\\sum_{k\\in\\mathcal{N}_i}\\exp(LeakyReLU(\\vec{a}^T[W\\vec{h}_i\\parallel W\\vec{h}_k]))}\\)<\/p>\n\n\n

\u4f8b\u5982\\(\\alpha_{12}\\)\uff1a<\/p>\n\n\n

\\(\\alpha_{{_{12}}}=\\frac{\\exp(\\mathrm{LeakyReLU}(e_{{_{12}}}))}{\\exp(\\mathrm{LeakyReLU}(e_{{_{12}}}))+\\exp(\\mathrm{LeakyReLU}(e_{{_{13}}}))+\\ldots+\\exp(\\mathrm{LeakyReLU}(e_{{_{16}}}))}\\)<\/p>\n\n\n

\u7136\u540e\u901a\u8fc7\u52a0\u6743\u6c42\u548c\u5bf9\u67d0\u8282\u70b9\u7684\u90bb\u5c45\u505a\u91cd\u8981\u7a0b\u5ea6\u7684\u91cd\u5206\u914d\uff0c\u5373\uff1a<\/p>\n\n\n

\\(\\vec{h_i^{\\prime}}=\\sigma(\\sum_{j\\in N_i}\\alpha_{ij}W\\vec{h_j})\\)<\/p>\n\n\n

\u4ee5\u8282\u70b91\u4e3a\u4f8b\uff1a<\/p>\n\n\n

\\(\\vec{h}_1^{\\prime T}=\\sigma\\left(\\alpha_{12}\\cdot W\\cdot\\vec{h}_2\\right)+\\sigma\\left(\\alpha_{13}\\cdot W\\cdot\\vec{h}_3\\right)+\\sigma\\left(\\alpha_{15}\\cdot W\\cdot\\vec{h}_5\\right)+\\sigma\\left(\\alpha_{16}\\cdot W\\cdot\\vec{h}_6\\right)\\)<\/p>\n\n\n

\u672c\u8d28\u4e0a\u800c\u8a00\uff1aGCN\u4e0eGAT\u90fd\u662f\u5c06\u90bb\u5c45\u8282\u70b9\u7684\u7279\u5f81\u805a\u5408\u5230\u4e2d\u5fc3\u8282\u70b9\u4e0a\uff0c\u5229\u7528\u56fe\u6570\u636e\u4e0a\u7684\u5c40\u90e8\u8fde\u63a5\u6027\u5b66\u4e60\u65b0\u7684\u8282\u70b9\u7279\u5f81\u8868\u8fbe\u3002\u4e0d\u540c\u7684\u662fGCN\u5229\u7528\u4e86\u62c9\u666e\u62c9\u65af\u77e9\u9635\uff08\\(\\tilde{D}^{-\\frac12}\\tilde{AD}^{-\\frac12}\\) \u200b\uff09\u8ba1\u7b97\u5f97\u5230\u805a\u5408\u8fc7\u7a0b\u4e2d\u6bcf\u4e2a\u8282\u70b9\u7684\u6743\u91cd\uff0c\u8fd9\u4e2a\u8fc7\u7a0b\u662f\u4e00\u4e2a\u9884\u5b9a\u4e49\u7684\u6570\u5b66\u65b9\u6cd5\uff0c\u4e0d\u6d89\u53ca\u53ef\u5b66\u4e60\u53c2\u6570\u3002\u800cGAT\u5229\u7528attention\u7cfb\u6570\uff08\\(\\alpha_{ij}\\)\uff09\uff0c\u8fd9\u5176\u4e2d\u8bbe\u8ba1\u4e24\u4e2a\u795e\u7ecf\u7f51\u7edc\u5c42\u7684\u53ef\u5b66\u4e60\u53c2\u6570W<\/em><\/strong>\u548c\\(\\alpha\\ )\u3002<\/p>\n\n\n\n

\u6700\u540e\u63a2\u8ba8\u4e00\u4e0b\u4e3a\u4ec0\u4e48GAT\u9002\u7528\u4e8eInductive\u4efb\u52a1\uff0c\u56e0\u4e3aGAT\u805a\u5408\u90bb\u5c45\u7279\u5f81\u7684\u65f6\u5019\u4ec5\u4ec5\u53ea\u9700\u8981\u8003\u8651\u90bb\u5c45\u7279\u5f81\uff0c\u8bad\u7ec3\u51fa\u6765\u7684\u53c2\u6570W<\/em><\/strong>\u548c\\(\\alpha\\)\u662f\u5bf9\u90bb\u5c45\u7279\u5f81\u7684\u7ebf\u6027\u53d8\u6362\u53c2\u6570\u77e9\u9635\uff0c\u8fd9\u4e2a\u53c2\u6570\u77e9\u9635\u9488\u5bf9\u6bcf\u4e00\u4e2a\u8282\u70b9\u7684\u6bcf\u4e00\u4e2a\u90bb\u5c45\u90fd\u662f\u4e00\u6837\u7684\uff0c\u4e5f\u5c31\u662f\u6240\u8c13\u7684\u5171\u4eab\u6743\u91cd\u53c2\u6570\u3002\u8fd9\u4e9b\u4ec5\u4e0e\u8282\u70b9\u7279\u5f81\u76f8\u5173\uff0c\u6ca1\u6709\u76f4\u63a5\u7528\u5230\u90bb\u63a5\u77e9\u9635\u8fdb\u884c\u8ba1\u7b97\u3002\u6240\u4ee5\u6d4b\u8bd5\u4efb\u52a1\u4e2d\u6539\u53d8\u56fe\u7684\u7ed3\u6784\uff0c\u5bf9\u4e8eGAT\u5f71\u54cd\u5e76\u4e0d\u5927\uff0c\u53ea\u9700\u8981\u66f4\u65b0\u8282\u70b9\u7684\u90bb\u5c45\u96c6\u5408\\(N_{i}\\)\uff0c\u7136\u540e\u7528GAT\u6a21\u578b\u91cd\u65b0\u8ba1\u7b97\u6ce8\u610f\u529b\u7cfb\u6570\u548c\u8282\u70b9\u7684\u8868\u793a\u5373\u53ef\u3002\u8fd9\u91cc\u7684\u91cd\u65b0\u8ba1\u7b97\u5e76\u4e0d\u662f\u6307\u91cd\u65b0\u8bad\u7ec3\u6a21\u578b\uff0c\u53ea\u9700\u8981\u7528\u8bad\u7ec3\u597d\u7684\u6743\u91cd\u53c2\u6570\u5bf9\u66f4\u65b0\u540e\u7684\u90bb\u5c45\u96c6\u5408\u8fdb\u884c\u524d\u5411\u4f20\u64ad\u3002\u8fd9\u662f\u56e0\u4e3a\u5728\u524d\u5411\u4f20\u64ad\u8fc7\u7a0b\u4e2d\uff0c\u6ce8\u610f\u529b\u7cfb\u6570\u662f\u57fa\u4e8e\u8282\u70b9\u548c\u90bb\u5c45\u7684\u7279\u5f81\u52a8\u6001\u8ba1\u7b97\u7684\uff0c\u800c\u4e0d\u662f\u9759\u6001\u5730\u4f9d\u8d56\u4e8e\u539f\u59cb\u56fe\u7684\u7ed3\u6784\u3002\u56e0\u6b64\uff0c\u5373\u4f7f\u56fe\u7684\u7ed3\u6784\u53d1\u751f\u4e86\u53d8\u5316\uff0c\u8fd9\u4e9b\u8ba1\u7b97\u4ecd\u7136\u662f\u6709\u6548\u7684\u3002\u4e14\u5728GAT\u7684\u8bad\u7ec3\u4e2d\uff0c\u7531\u4e8e\u6743\u91cd\u53c2\u6570\u662f\u5728\u4e0d\u540c\u8282\u70b9\u95f4\u5171\u4eab\u7684\uff0c\u5e76\u4e14\u5728\u805a\u5408\u8fc7\u7a0b\u4e2d\u4e3b\u8981\u4f9d\u8d56\u4e8e\u8282\u70b9\u7684\u7279\u5f81\u800c\u975e\u56fe\u7684\u5168\u5c40\u7ed3\u6784\uff0c\u6240\u4ee5\u8fd9\u4e9b\u6743\u91cd\u80fd\u591f\u6839\u636e\u8282\u70b9\u95f4\u7684\u7279\u5f81\u8fdb\u884c\u67d0\u4e9b\u5c5e\u6027\u7684\u9884\u6d4b\uff0c\u5e76\u4e0d\u5f3a\u4f9d\u8d56\u4e8e\u56fe\u7684\u7ed3\u6784\uff0c\u4f7f\u5f97\u6a21\u578b\u80fd\u591f\u5f88\u597d\u5730\u6cdb\u5316\u5230\u65b0\u7684\u3001\u672a\u89c1\u8fc7\u7684\u56fe\u7ed3\u6784\u4e0a\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"

\u63a5\u4e0b\u6765\u4ecb\u7ecd\u56fe\u6ce8\u610f\u529b\u7f51\u7edcGAT\uff0cGAT\u53ef\u4ee5\u6709\u4e24\u79cd\u8fd0\u7b97\u65b9\u5f0f\uff0c\u4e00\u79cd\u88ab\u79f0\u4e3a\u5168\u5c40\u6ce8\u610f\u529b\uff08Global Graph Att […]<\/p>\n","protected":false},"author":1,"featured_media":2277,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[23,26],"tags":[22],"class_list":["post-2276","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-23","category-26","tag-22"],"_links":{"self":[{"href":"http:\/\/www.gnn.club\/index.php?rest_route=\/wp\/v2\/posts\/2276","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/www.gnn.club\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/www.gnn.club\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/www.gnn.club\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/www.gnn.club\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=2276"}],"version-history":[{"count":10,"href":"http:\/\/www.gnn.club\/index.php?rest_route=\/wp\/v2\/posts\/2276\/revisions"}],"predecessor-version":[{"id":2291,"href":"http:\/\/www.gnn.club\/index.php?rest_route=\/wp\/v2\/posts\/2276\/revisions\/2291"}],"wp:featuredmedia":[{"embeddable":true,"href":"http:\/\/www.gnn.club\/index.php?rest_route=\/wp\/v2\/media\/2277"}],"wp:attachment":[{"href":"http:\/\/www.gnn.club\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=2276"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/www.gnn.club\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=2276"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/www.gnn.club\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=2276"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}