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Mixture Augmented Lagrange Multiplier Method for Tensor Recovery and Its Applications
Joint Authors
Wang, Wu-hong
Liu, Li
Cheng, Bin
Tan, Huachun
Feng, Jianshuai
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-17
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
The problem of data recovery in multiway arrays (i.e., tensors) arises in many fields such as computer vision, image processing, and traffic data analysis.
In this paper, we propose a scalable and fast algorithm for recovering a low-n-rank tensor with an unknown fraction of its entries being arbitrarily corrupted.
In the new algorithm, the tensor recovery problem is formulated as a mixture convex multilinear Robust Principal Component Analysis (RPCA) optimization problem by minimizing a sum of the nuclear norm and the ℓ1-norm.
The problem is well structured in both the objective function and constraints.
We apply augmented Lagrange multiplier method which can make use of the good structure for efficiently solving this problem.
In the experiments, the algorithm is compared with the state-of-art algorithm both on synthetic data and real data including traffic data, image data, and video data.
American Psychological Association (APA)
Tan, Huachun& Cheng, Bin& Feng, Jianshuai& Liu, Li& Wang, Wu-hong. 2014. Mixture Augmented Lagrange Multiplier Method for Tensor Recovery and Its Applications. Discrete Dynamics in Nature and Society،Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-507719
Modern Language Association (MLA)
Tan, Huachun…[et al.]. Mixture Augmented Lagrange Multiplier Method for Tensor Recovery and Its Applications. Discrete Dynamics in Nature and Society No. 2014 (2014), pp.1-9.
https://search.emarefa.net/detail/BIM-507719
American Medical Association (AMA)
Tan, Huachun& Cheng, Bin& Feng, Jianshuai& Liu, Li& Wang, Wu-hong. Mixture Augmented Lagrange Multiplier Method for Tensor Recovery and Its Applications. Discrete Dynamics in Nature and Society. 2014. Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-507719
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-507719