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Mixture Augmented Lagrange Multiplier Method for Tensor Recovery and Its Applications
Tan, Huachun1; Cheng, Bin1; Feng, Jianshuai2; Liu, Li3; Wang, Wuhong1
Source PublicationDISCRETE DYNAMICS IN NATURE AND SOCIETY
2014
SubtypeArticle
AbstractThe problem of data recovery inmultiway 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 l(1)-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.
WOS HeadingsScience & Technology ; Physical Sciences
WOS KeywordCOMPLETION ; ALGORITHM
Indexed BySCI
Language英语
WOS Research AreaMathematics ; Science & Technology - Other Topics
WOS SubjectMathematics, Interdisciplinary Applications ; Multidisciplinary Sciences
WOS IDWOS:000333643300001
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Cited Times:2[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.ia.ac.cn/handle/173211/8034
Collection综合信息系统研究中心
Affiliation1.Beijing Inst Technol, Dept Transportat Engn, Beijing 100081, Peoples R China
2.Chinese Acad Sci, Inst Automat, Integrated Informat Syst Res Ctr, Beijing 100190, Peoples R China
3.Marvell Semicond Inc, Santa Clara, CA 95054 USA
Recommended Citation
GB/T 7714
Tan, Huachun,Cheng, Bin,Feng, Jianshuai,et al. Mixture Augmented Lagrange Multiplier Method for Tensor Recovery and Its Applications[J]. DISCRETE DYNAMICS IN NATURE AND SOCIETY,2014.
APA Tan, Huachun,Cheng, Bin,Feng, Jianshuai,Liu, Li,&Wang, Wuhong.(2014).Mixture Augmented Lagrange Multiplier Method for Tensor Recovery and Its Applications.DISCRETE DYNAMICS IN NATURE AND SOCIETY.
MLA Tan, Huachun,et al."Mixture Augmented Lagrange Multiplier Method for Tensor Recovery and Its Applications".DISCRETE DYNAMICS IN NATURE AND SOCIETY (2014).
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