HDGCN: Dual-Channel Graph Convolutional Network With Higher-Order Information for Robust Feature Learning

Abstract

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Graph convolutional network (GCN) algorithms have been employed to learn graph embedding due to its inductive inference property, which is extended to GCN with higher-order information. However, the application of these higher-order information is confusing and not effectively distinguished. In addition, single channel GCN using higher-order information is weak for robust feature learning, and existing dual-channel GCNs rarely take higher-order information into account. To alleviate the above problems, we propose a dual-channel GCN with higher-order information for robust feature learning, denoted as HDGCN. Firstly, features of positive and negative higher-order graphs are extracted that fully exploits the self-contained attributes and higher-order geometric information. Meantime, the features of original graph structure are extracted by a conventional GCN that utilizes the self-contained feature attributes. Then, node features are represented as edge features by a feature fusion function. For the selection of negative samples, a fractional staggered negative sampling method is applied, by which the trainable graph model gains better topological features. Finally, the performance on seven real-world datasets demonstrates that HDGCN obtains the state-of-the-art performance on pairwise link prediction, higher-order structure prediction, and node classification tasks. By changing the attributes of multiple tasks, it can be proved that HDGCN has good robustness.