Title
Low-rank Multi-view Clustering in Third-Order Tensor Space.
Abstract
The plenty information from multiple views data as well as the complementary information among different views are usually beneficial to various tasks, e.g., clustering, classification, de-noising. Multi-view subspace clustering is based on the fact that the multi-view data are generated from a latent subspace. To recover the underlying subspace structure, the success of the sparse and/or low-rank subspace clustering has been witnessed recently. Despite some state-of-the-art subspace clustering approaches can numerically handle multi-view data, by simultaneously exploring all possible pairwise correlation within views, the high order statistics is often disregarded which can only be captured by simultaneously utilizing all views. As a consequence, the clustering performance for multi-view data is compromised. To address this issue, in this paper, a novel multi-view clustering method is proposed by using textit{t-product} in third-order tensor space. Based on the circular convolution operation, multi-view data can be effectively represented by a textit{t-linear} combination with sparse and low-rank penalty using self-expressiveness. Our extensive experimental results on facial, object, digits image and text data demonstrate that the proposed method outperforms the state-of-the-art methods in terms of many criteria.
Year
Venue
Field
2016
arXiv: Computer Vision and Pattern Recognition
Canopy clustering algorithm,Fuzzy clustering,CURE data clustering algorithm,Clustering high-dimensional data,Data stream clustering,Pattern recognition,Correlation clustering,Computer science,Artificial intelligence,Constrained clustering,Cluster analysis,Machine learning
DocType
Volume
Citations 
Journal
abs/1608.08336
1
PageRank 
References 
Authors
0.35
31
4
Name
Order
Citations
PageRank
Ming Yin120210.61
Junbin Gao21112119.67
Shengli Xie32530161.51
Yi Guo441444.10