Adaptive Anchor-guided Representation Learning for Efficient Multi-view Subspace Clustering

Multi-view Subspace Clustering (MVSC) effectively aggregating multiple data sources to promise clustering performance. Recently, various anchor-based variants have been introduced to effectively alleviate the computation complexity of MVSC. Although satisfactory advancement has been achieved, existing methods either independently learn anchor matrices and their anchor representations or learn a consensus anchor matrix and unified anchor representation, failing to capture both consistency and complementary information simultaneously. In addition, the time complexity of obtaining clustering results by applying Singular Value Decomposition (SVD) on the anchor representation matrix remains high. To tackle the above problems, we propose an Adaptive Anchor-guided Representation Learning for Efficient Multi-view Subspace Clustering (A2RL-EMVSC) framework, which integrates consensus anchors learning, anchor-guided representation learning and matrix factorization to enhance clustering performance and scalability. Technically, the proposed method learns view-specific anchor representation matrices by consensus anchors guidance, which simultaneously exploit consistency and complementary information. Moreover, by applying matrix decomposition to the view-specific anchor representation matrices, clustering results can be achieved with linear time complexity. Extensive experiments on ten challenging multi-view datasets show that the proposed method can improve the effectiveness and superiority of clustering compared with state-of-the-art methods.