Simple Multigraph Convolution Networks

Wu, Danyang, Shen, Xinjie, Lu, Jitao, Xu, Jin, Nie, Feiping

arXiv.org Artificial Intelligence 

Existing multigraph convolution methods either ignore the crossview interaction among multiple graphs, or induce extremely high computational cost due to standard cross-view polynomial operators. To alleviate this problem, this paper proposes a Simple Multi-Graph Convolution Networks (SMGCN) which first extracts consistent cross-view topology from multigraphs including edge-level and subgraph-level topology, then performs polynomial expansion based on raw multigraphs and consistent topologies. In theory, SMGCN utilizes the consistent topologies in polynomial expansion rather than standard cross-view polynomial expansion, which performs credible cross-view spatial message-passing, follows the spectral convolution paradigm, and effectively reduces the complexity of standard polynomial expansion. In the simulations, experimental results demonstrate that SMGCN achieves state-of-the-art performance on ACM and DBLP multigraph benchmark datasets. Our Figure 1: Overview of the proposed SMGCN.

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