Title
Multi-view Spectral Clustering via Tensor-SVD Decomposition
Abstract
Multi-view clustering has attracted considerable attention in recent years, some related approaches always use matrices to represent views, and model by capturing two dimensional structure among views. The critical deficiency of these work is ignoring the space structure information of all views, which results in the mediocre performance of clustering. In this paper, we propose a novel Tensor-SVD decomposition based Multi-view Spectral Clustering algorithm(TMSC) to iron out flaws. Our method firstly puts transition probability matrices of all views into a three-order tensor, which naturally reserves the whole structure information of data. Then it establishes a low multi-rank tensor model based on tensor-SVD decomposition by fully mining the complementary information among multiple views. Another difficulty in this paper is that the optimal objective of TMSC has a low multirank constraint on the transition probability tensor, and a probabilistic simplex constraint on each fiber of the tensor. To tackle this challenging problem, we design an optimization procedure based on the Augmented Lagrangian Multiplier scheme. Experimental results on real word datasets show that TMSC has superior clustering quality over several state-of-theart multi-view clustering approaches.
Year
DOI
Venue
2017
10.1109/ICTAI.2017.00081
2017 IEEE 29th International Conference on Tools with Artificial Intelligence (ICTAI)
Keywords
Field
DocType
multi-view-clustering,-tensor-SVD,-spectral-clustering
Kernel (linear algebra),Spectral clustering,Singular value decomposition,Pattern recognition,Tensor,Computer science,Matrix decomposition,Algorithm,Augmented Lagrangian method,Artificial intelligence,Probabilistic logic,Cluster analysis
Conference
ISSN
ISBN
Citations 
1082-3409
978-1-5386-3877-4
1
PageRank 
References 
Authors
0.35
0
6
Name
Order
Citations
PageRank
Yan Zhang110.35
Weiwei Yang222850.42
Bangtian Liu381.16
Ge-Yang Ke420.69
Yan Pan517919.23
Jian Yin686197.01