Fast Anchor Graph Clustering via Maximizing Within-Cluster Similarity

Anchor-based clustering methods have attracted increasing attention due to their ability to provide efficient and scalable solutions in clustering tasks, such as subspace, multi-view and ensemble clustering. Nevertheless, the majority of anchor-based methods view anchors merely as tools, concentrating on diminishing computational complexity within original data space. However, in fact, clustering can be directly performed on anchors and then the anchor clustering results could be propagated to original data. Due to the much smaller volume of anchors, this could significantly reduce the computational complexity of clustering algorithms. Building upon this idea, in this paper, we propose a fast anchor graph clustering method (FAGC) via maximizing within-cluster similarity. Inspired by the relaxation and discretization model in spectral clustering, we also propose two corresponding models, namely FAGC-R and FAGC-D. FAGC-R first obtains spectral embedding of anchors and then discretizes the embedding to obtain anchor indicator matrix. While FAGC-D directly solves the discrete anchor membership matrix. Once anchor clustering results are obtained, original data labels can be obtained through anchor label transmission. Extensive experiments conducted on synthetic and real datasets illustrate the effectiveness and efficiency of the proposed methods.