Multi-View Spectral Clustering Tailored Tensor Low-Rank Representation
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Author(s)
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Detail(s)
Original language | English |
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Pages (from-to) | 4784-4797 |
Number of pages | 14 |
Journal / Publication | IEEE Transactions on Circuits and Systems for Video Technology |
Volume | 31 |
Issue number | 12 |
Online published | 27 Jan 2021 |
Publication status | Published - Dec 2021 |
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Abstract
This paper explores the problem of multi-view spectral clustering (MVSC) based on tensor low-rank modeling. Unlike the existing methods that all adopt an off-the-shelf tensor low-rank norm without considering the special characteristics of the tensor in MVSC, we design a novel structured tensor low-rank norm tailored to MVSC. Specifically, we explicitly impose a symmetric low-rank constraint and a structured sparse low-rank constraint on the frontal and horizontal slices of the tensor to characterize the intra-view and inter-view relationships, respectively. Moreover, the two constraints could be jointly optimized to achieve mutual refinement. On basis of the novel tensor low-rank norm, we formulate MVSC as a convex low-rank tensor recovery problem, which is then efficiently solved with an augmented Lagrange multiplier-based method iteratively. Extensive experimental results on seven commonly used benchmark datasets show that the proposed method outperforms state-of-the-art methods to a significant extent. Impressively, our method is able to produce perfect clustering. In addition, the parameters of our method can be easily tuned, and the proposed model is robust to different datasets, demonstrating its potential in practice. The code is available at https://github.com/jyh-learning/MVSC-TLRR.
Research Area(s)
- Multi-view spectral clustering, tensor low-rank representation, tensor low-rank norm
Citation Format(s)
Multi-View Spectral Clustering Tailored Tensor Low-Rank Representation. / Jia, Yuheng; Liu, Hui; Hou, Junhui et al.
In: IEEE Transactions on Circuits and Systems for Video Technology, Vol. 31, No. 12, 12.2021, p. 4784-4797.
In: IEEE Transactions on Circuits and Systems for Video Technology, Vol. 31, No. 12, 12.2021, p. 4784-4797.
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review