Multi-view Clustering Based on Probabilistic Tensor Regression

Multi-view clustering based on anchor graph and regression is widely used to deal with high dimensional and redundant data. However, most of these methods ignore the probabilistic characteristics of anchor graph, and the effective information in different views is not fully mined. To solve these problems, we propose a multi-view clustering method based on probabilistic tensor regression (MVCPTR). Specifically, we reinterpret the regression process of the anchor graph from the perspective of probability. By modeling the anchor graph as the transition probability from samples to anchors, we construct the implicit relationship between labels of samples and anchors. In order to further mine the complementary information of multi-view data, we extend the anchor graph matrix regression to tensor regression to achieve multi-level information fusion at the representational level and decision level, and impose the Schatten p-norm constraint on the anchor label tensor and the sample label tensor to realize the bi-clustering of the anchors and samples. A large number of experiments prove the effectiveness of our proposed algorithm.