Tensorized Multi-view Clustering via Hyper-graph Regularization

Multi-view clustering intent to separate data into different groups regarding their multiple traits. Existing tensor multi-view clustering techniques can explore the high-order associations of multi-perspective characteristics. However, they suffer from the following issues: (1) data features and local geometric structures in nonlinear subspace are often ignored; (2) the prior knowledge of singular values in the tensor kernel norm is not well utilized. To settle these problems, we propose a novel Markov chain tensor-based approach named Tensorized Multi-view Clustering via Hyper-graph Regularization(TMCHR). Firstly, the third-tensor based on Markov chain transition probability is constructed and rotated to reduce the model complexity. Secondly, hyper-graph regularization is employed to save the high-order local geometrical structure imbedded in the original space. Thirdly, the weighted strategy is applied to the tensor composed of latent representations to extract the highorder relationships and diverse information between different views. Finally, an effective iterative method is utilized to solve the proposed TMC-HR. We conducted extensive experiments on benchmark datasets corresponding to different types to indicate that TMC-HR performs superior over other multi-view clustering approaches.