Multi-view fusion guided matrix factorization based one-step efficient subspace clustering

Abstract

Multi-view clustering that integrates the complementary information from different views for better clustering is a fundamental topic in data engineering. Most existing methods learn latent representations first, and then obtain the final result via post-processing. These two-step strategies may lead to sub-optimal clustering. The existing one-step methods are based on spectral clustering, which is inefficient. To address these problems, we propose a Multi-view fusion guided Matrix factorization based One-step subspace Clustering (MMOC) to perform clustering on multi-view data efficiently and effectively in one step. Specifically, we first propose a matrix factorization based multi-view fusion representation method, which adopts efficient matrix factorization instead of time-consuming spectral representation to reduce the computational complexity. Then we propose a self-supervised weight learning strategy to distinguish the importance of different views, which considers both the gradient and the learning rate to make the learned weights closer to the real situation. Finally, we propose a one-step framework of MMOC, which effectively reduces the information loss by integrating data representation, multi-view data fusion, and clustering into one step. We conduct experiments on 5 real-world datasets. The experimental results show the effectiveness and the efficiency of our MMOC method in comparison with state-of-the-art methods.