Low-M-Rank Tensor Completion and Robust Tensor PCA

doi:10.1109/JSTSP.2018.2873144

CORC > 上海财经大学 > 上海财经大学

	Low-M-Rank Tensor Completion and Robust Tensor PCA
	Jiang, Bo 1; Ma, Shiqian 2; Zhang, Shuzhong 3,4
刊名	IEEE JOURNAL OF SELECTED TOPICS IN SIGNAL PROCESSING
	2018-12
卷号	12 期号:6 页码:1390-1404
关键词	Low-rank tensor completion robust tensor PCA matrix unfolding CP-rank Tucker-rank M-rank
ISSN号	1932-4553
DOI	10.1109/JSTSP.2018.2873144
英文摘要	In this paper, we propose a new approach to solve low-rank tensor completion and robust tensor PCA. Our approach is based on some novel notion of (even-order) tensor ranks, to be called the M-rank, the symmetric M-rank, and the strongly symmetric M-rank. We discuss the connections between these new tensor ranks and the CP-rank and the symmetric CP-rank of an even-order tensor. We show that the M-rank provides a reliable and easy-computable approximation to the CP-rank. As a result, we propose to replace the CP-rank by the M-rank in the low-CPrank tensor completion and robust tensor PCA. Numerical results suggest that our new approach based on the M-rank outperforms existing methods that are based on low-n-rank, t-SVD, and KBR approaches for solving low-rank tensor completion and robust tensor PCA when the underlying tensor has low CP-rank.
WOS研究方向	Engineering
语种	英语
出版者	IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
WOS记录号	WOS:000454221700022
内容类型	期刊论文
源URL	[http://10.2.47.112/handle/2XS4QKH4/438]
专题	上海财经大学
通讯作者	Ma, Shiqian
作者单位	1.Shanghai Univ Finance & Econ, Sch Informat Management & Engn, Res Inst Interdisciplinary Sci, Shanghai 200433, Peoples R China; 2.Univ Calif Davis, Dept Math, Davis, CA 95616 USA; 3.Univ Minnesota, Dept Ind & Syst Engn, Minneapolis, MN 55455 USA; 4.Chinese Univ Hong Kong, Inst Data & Decis Analyt, Shenzhen 518172, Peoples R China
推荐引用方式 GB/T 7714	Jiang, Bo,Ma, Shiqian,Zhang, Shuzhong. Low-M-Rank Tensor Completion and Robust Tensor PCA[J]. IEEE JOURNAL OF SELECTED TOPICS IN SIGNAL PROCESSING,2018,12(6):1390-1404.
APA	Jiang, Bo,Ma, Shiqian,&Zhang, Shuzhong.(2018).Low-M-Rank Tensor Completion and Robust Tensor PCA.IEEE JOURNAL OF SELECTED TOPICS IN SIGNAL PROCESSING,12(6),1390-1404.
MLA	Jiang, Bo,et al."Low-M-Rank Tensor Completion and Robust Tensor PCA".IEEE JOURNAL OF SELECTED TOPICS IN SIGNAL PROCESSING 12.6(2018):1390-1404.