Multiview Representation Learning With One-to-Many Dynamic Relationships.

Integrating information from multiple views to obtain potential representations with stronger expressive ability has received significant attention in practical applications. Most existing algorithms usually focus on learning either the consistent or complementary representation of views and, subsequently, integrate one-to-one corresponding sample representations between views. Although these approaches yield effective results, they do not fully exploit the information available from multiple views, limiting the potential for further performance improvement. In this article, we propose an unsupervised multiview representation learning method based on sample relationships, which enables the one-to-many fusion of intraview and interview information. Due to the heterogeneity of views, we need mainly face the two following challenges: 1) the discrepancy in the dimensions of data across different views and 2) the characterization and utilization of sample relationships across these views. To address these two issues, we adopt two modules: the dimension consistency relationship enhancement module and the multiview graph learning module. Thereinto, the relationship enhancement module addresses the discrepancy in data dimensions across different views and dynamically selects data dimensions for each sample that bolsters intraview relationships. The multiview graph learning module devises a novel multiview adjacency matrix to capture both intraview and interview sample relationships. To achieve one-to-many fusion and obtain multiview representations, we employ the graph autoencoder structure. Furthermore, we extend the proposed architecture to the supervised case. We conduct extensive experiments on various real-world multiview datasets, focusing on clustering and multilabel classification tasks, to evaluate the effectiveness of our method. The results demonstrate that our approach significantly improves performance compared to existing methods, highlighting the potential of leveraging sample relationships for multiview representation learning. Our code is released at https://github.com/lilidan-orm/one-to-many-multiview on GitHub.