Title
Constrained Tensor Representation Learning for Multi-View Semi-Supervised Subspace Clustering
Abstract
Multi-view subspace clustering is an effective method to partition data into their corresponding categories. Nevertheless, existing multi-view subspace clustering approaches generally operate in a purely unsupervised manner, while ignoring the valuable weakly supervised information that can be readily obtained in many practical applications. In this paper, we consider the weakly supervised form of sample pair constraints, and devote to promoting the performance of multi-view subspace clustering with the aid of such prior knowledge. To achieve this goal, inspired by the intrinsic block diagonal structure of ideal low-rank representation (LRR), we propose a novel regularization to integrate must-link, cannot-link and normalization constraints into a unified formulation. The proposed regularization can be regarded as a general description for sample pairwise constraints, and thus provides a flexible framework for multi-view semi-supervised subspace clustering task. Furthermore, we devise a contrained tensor representation learning (CTRL) model that takes advantage of our proposed regularization to facilitate the learning of the desired representation tensor. An efficient optimization algorithm based on alternating direction minimization strategy is carefully designed to solve the proposed CTRL model. Extensive experiments on eight challenging real-world datasets are conducted, and the results validate the effectiveness of our designed pairwise constraints regularization, as well as the superiority of the proposed CTRL model.
Year
DOI
Venue
2022
10.1109/TMM.2021.3110098
IEEE TRANSACTIONS ON MULTIMEDIA
Keywords
DocType
Volume
Representation learning, Tensors, Correlation, Clustering algorithms, Minimization, Task analysis, Optimization, Multi-view learning, pairwise constraint, semi-supervised clustering, subspace learning, tensor singular value decomposition (t-SVD)
Journal
24
ISSN
Citations 
PageRank 
1520-9210
0
0.34
References 
Authors
0
4
Name
Order
Citations
PageRank
Yongqiang Tang122.08
Yuan Xie240727.48
Chenyang Zhang321.43
Wensheng Zhang432328.76