Embedding Graph Auto-Encoder with Joint Clustering via Adjacency Sharing

Graph convolution networks have attracted many attentions and several graph auto-encoder based clustering models are developed for attributed graph clustering. However, most existing approaches separate clustering and optimization of graph auto-encoder into two individual steps. In this paper, we propose a graph convolution network based clustering model, namely, Embedding Graph Auto-Encoder with JOint Clustering via Adjacency Sharing (\textit{EGAE-JOCAS}). As for the embedded model, we develop a novel joint clustering method, which combines relaxed k-means and spectral clustering and is applicable for the learned embedding. The proposed joint clustering shares the same adjacency within graph convolution layers. Two parts are optimized simultaneously through performing SGD and taking close-form solutions alternatively to ensure a rapid convergence. Moreover, our model is free to incorporate any mechanisms (e.g., attention) into graph auto-encoder. Extensive experiments are conducted to prove the superiority of EGAE-JOCAS. Sufficient theoretical analyses are provided to support the results.