Nonconvex plus quadratic penalized low-rank and sparse decomposition for noisy image alignment

CORC > 沈阳自动化研究所 > 中国科学院沈阳自动化研究所 > 机器人学研究室

	Nonconvex plus quadratic penalized low-rank and sparse decomposition for noisy image alignment
	Chen XA(陈希爱); Han Z(韩志); Wang Y(王尧); Tang YD(唐延东); Yu HB(于海斌)
刊名	Science China Information Sciences
	2016
卷号	59 期号:5 页码:1-13
关键词	low-rank decomposition nonconvex relaxation quadratic penalized batch image alignment sparse or nonsparse noise
ISSN号	1674-733X
通讯作者	韩志
产权排序	1
中文摘要	This paper proposes a general method for dealing with the problem of recovering the low-rank structure, in which the data can be deformed by some unknown transformations and corrupted by sparse or nonsparse noises. Nonconvex penalization method is used to remedy the drawbacks of existing convex penalization method and a quadratic penalty is further used to better tackle the nonsparse noises in the data. We exploits the local linear approximation (LLA) method for turning the resulting nonconvex penalization problem into a series of weighted convex penalization problems and these subproblems are efficiently solved via the augmented Lagrange multiplier (ALM). Besides comparing with the method of robust alignment by sparse and low-rank decomposition for linearly correlated images (RASL), we also propose a nonconvex penalized lowrank and sparse decomposition (NLSD) model as comparison. Numerical experiments are conducted on both controlled and uncontrolled data to demonstrate the outperformance of the proposed method over RASL and NLSD.
WOS标题词	Science & Technology ; Technology
类目[WOS]	Computer Science, Information Systems
研究领域[WOS]	Computer Science
关键词[WOS]	VARIABLE SELECTION ; ORACLE PROPERTIES ; CONCAVE ; COMPLETION ; MATRIX ; LASSO
收录类别	SCI ; EI ; CSCD
语种	英语
WOS记录号	WOS:000375885400015
内容类型	期刊论文
源URL	[http://ir.sia.cn/handle/173321/17735]
专题	沈阳自动化研究所_机器人学研究室
推荐引用方式 GB/T 7714	Chen XA,Han Z,Wang Y,et al. Nonconvex plus quadratic penalized low-rank and sparse decomposition for noisy image alignment[J]. Science China Information Sciences,2016,59(5):1-13.
APA	Chen XA,Han Z,Wang Y,Tang YD,&Yu HB.(2016).Nonconvex plus quadratic penalized low-rank and sparse decomposition for noisy image alignment.Science China Information Sciences,59(5),1-13.
MLA	Chen XA,et al."Nonconvex plus quadratic penalized low-rank and sparse decomposition for noisy image alignment".Science China Information Sciences 59.5(2016):1-13.