Multi-View Tensor Clustering Through Exploiting Both Within-View and Across-View High-Order Correlations

Clustering objects remains challenges in seeking an under-lying partition by exploiting multiple views. Popular clustering algorithms focus on designing various constraints to handle particular representation tasks, all of which rely on a predefined pairwise similarity (sample-to-sample). However, the pairwise similarity is notoriously vulnerable to noise or outliers contaminations, resulting in sub-optimal clustering performances. To tackle the issue, this paper proposes to enhance multi-view clustering by exploring varieties of high-order statistics within multi-view data, named by HIgh-order Similarity and essential Tensor clustering method (HIST). The HIST incorporates both high-order similarity (samples-to-samples) and high-order correlation (view-to-view) into an adaptive learning model to comprehensively exploit the inherent clustering structure. Experimental results on six real datasets show the superiority of our approach over the ten popular methods.