Comprehensive consensus representation learning for incomplete multiview subspace clustering

Abstract

Incomplete multiview clustering (IMVC) aims to address clustering problems caused by missing views. While some progress has been made, the current approaches still have some problems. First, the existing IMVC methods excessively rely on the original high-dimensional multiview data, leading to suboptimal results when the data are heavily contaminated. Second, the utilization of high-dimensional data often overlooks the complementarity of and consistency across multiple views. Third, the cluster structure of the input data is not adequately considered, which is detrimental to the resulting clustering performance. To address these problems, we propose a novel method: comprehensive consensus representation learning for incomplete multiview subspace clustering (CLR-IMVC). Specifically, CLR-IMVC assumes that all views are generated from a latent representation space. We model the original incomplete multiple views and the latent space to explore their correlations. Subsequently, we use the latent space to generate complete views and construct a subspace self-representation matrix for each view. Moreover, we innovatively treat the latent representation itself as new a view and likewise extract its self-representation matrix. Furthermore, we construct a third-order tensor by using these self-representation matrices and impose low-rank constraints on the tensor to explore the high-order correlations among the matrices. In addition, a consensus representation learning term is added to explore the consistency information between the views and the latent space, ultimately generating a robust clustering structure. Finally, the proposed method can be effectively solved by the augmented Lagrangian multiplier (ALM). Extensive experiments conducted on diverse datasets demonstrate the effectiveness of CLR-IMVC.