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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
2014
发表期刊DISCRETE DYNAMICS IN NATURE AND SOCIETY
文章类型Article
摘要The 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标题词Science & Technology ; Physical Sciences
关键词[WOS]COMPLETION ; ALGORITHM
收录类别SCI
语种英语
WOS研究方向Mathematics ; Science & Technology - Other Topics
WOS类目Mathematics, Interdisciplinary Applications ; Multidisciplinary Sciences
WOS记录号WOS:000333643300001
引用统计
文献类型期刊论文
条目标识符http://ir.ia.ac.cn/handle/173211/8034
专题综合信息系统研究中心
作者单位1.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
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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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