RobustGCNs: Robust Norm Graph Convolutional Networks in the Presence of Node Missing Data and Large Noises

Graph Convolutional Networks (GCNs) have been widely studied for attribute graph data representation and learning. In many applications, graph node attribute/feature may contain various kinds of noises, such as gross corruption, outliers and missing values. Existing graph convolutions (GCs) generally focus on feature propagation on structured graph which i) fail to address the graph data with missing values and ii) often perform susceptibility to the large feature errors/noises and outliers. To address this issue, in this paper, we propose to incorporate robust norm feature learning mechanism into graph convolution and present Robust Graph Convolutions (RGCs) for graph data in the presence of feature noises and missing values. Our RGCs is proposed based on the interpretation of GCs from a propagation function aspect of 'data reconstruction on graph'. Based on it, we then derive our RGCs by exploiting robust norm based propagation functions into GCs. Finally, we incorporate the derived RGCs into an end-to-end network architecture and propose a kind of RobustGCNs for graph data learning. Experimental results on several noisy datasets demonstrate the effectiveness and robustness of the proposed RobustGCNs.