RECOVERING LOW CP/TUCKER RANKED TENSORS, WITH APPLICATIONS IN TENSOR COMPLETION

CORC > 上海财经大学 > 上海财经大学

	RECOVERING LOW CP/TUCKER RANKED TENSORS, WITH APPLICATIONS IN TENSOR COMPLETION
	Gao, Xiang 1; Jiang, Bo 2; Tao, Shaozhe 3
刊名	PACIFIC JOURNAL OF OPTIMIZATION
	2015-04
卷号	11 期号:2 页码:385-402
关键词	tensor low rank group sparsity tensor completion
ISSN号	1348-9151
英文摘要	In this paper, we propose a method to find tensor decompositions with low CP rank. In our approach, no prior knowledge is assumed regarding the rank of the tensor to be recovered. The key underlying idea is to take advantage of group sparsity structure. The L-1,L-2-norm regularization and the L-1,L-infinity-norm regularization are proposed to achieve the group sparse effect. Then the problem reduce to the multi-block optimization, which can be efficiently solved by the so-called Block Coordinate Decent (BCD) method. We also show that our approach can be used to solve the tensor low CP/Tucker rank completion problem. Simulation results demonstrate that our new method performs well numerically, especially when the tensor to be recovered indeed has a low rank structure.
WOS研究方向	Operations Research & Management Science ; Mathematics
语种	英语
出版者	YOKOHAMA PUBL
WOS记录号	WOS:000355241700011
内容类型	期刊论文
源URL	[http://10.2.47.112/handle/2XS4QKH4/1556]
专题	上海财经大学
通讯作者	Jiang, Bo
作者单位	1.Univ Minnesota, Dept Ind & Syst Engn, Minneapolis, MN 55455 USA; 2.Shanghai Univ Finance & Econ, Sch Informat Management & Engn, Res Ctr Management Sci & Data Analyt, Shanghai 200433, Peoples R China; 3.Univ Minnesota, Dept Ind & Syst Engn, Minneapolis, MN 55455 USA
推荐引用方式 GB/T 7714	Gao, Xiang,Jiang, Bo,Tao, Shaozhe. RECOVERING LOW CP/TUCKER RANKED TENSORS, WITH APPLICATIONS IN TENSOR COMPLETION[J]. PACIFIC JOURNAL OF OPTIMIZATION,2015,11(2):385-402.
APA	Gao, Xiang,Jiang, Bo,&Tao, Shaozhe.(2015).RECOVERING LOW CP/TUCKER RANKED TENSORS, WITH APPLICATIONS IN TENSOR COMPLETION.PACIFIC JOURNAL OF OPTIMIZATION,11(2),385-402.
MLA	Gao, Xiang,et al."RECOVERING LOW CP/TUCKER RANKED TENSORS, WITH APPLICATIONS IN TENSOR COMPLETION".PACIFIC JOURNAL OF OPTIMIZATION 11.2(2015):385-402.