Multiview ensemble clustering of hypergraph p-Laplacian regularization with weighting and denoising

Abstract

Multiview clustering has gained attention for its ability to incorporate complementary information from multiple sources of data, leading to better clustering results. However, these methods don't sufficiently mine high-dimensional information of non-linear subspace or ignore important high-level information between basic partitions (BPs), which are obtained via single-view clustering that could help to overcome differences between heterogeneous feature spaces and defined in Eq. (4). Additionally, existing multiview ensemble clustering methods neglect the noise arising from the generation phase. In light of this, we first propose a novel multiview subspace clustering method with hypergraph p-Laplacian regularization and denoising. Specifically, to utilize the high-dimensional information, a hypergraph p-Laplacian regularized term is added to the model along with low-rank subspace learning to capture the different hierarchical structures in the data. A denoising algorithm based on KMeans and K-nearest neighbor is used to minimize the noise of similarity matrix. Then utilizing this approach as a backbone, a multiview ensemble clustering of hypergraph p-Laplacian regularization with weighting and denoising method is proposed. A hybrid strategy and a novel global weighting ensemble strategy is further proposed to extract high-level information across all the BPs. By integrating hypergraph p-Laplacian operator, low-rank subspace learning, denoising, and weighting ensemble strategy in a unified framework, this ensemble approach adequately learns latent structures and complementary information. Experimental results on multiple datasets demonstrate the efficacy of this approach.