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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)
作者部门机器人学研究室
关键词Low-rank Decomposition Nonconvex Relaxation Quadratic Penalized Batch Image Alignment Sparse Or nonSparse Noise
发表期刊Science China Information Sciences
ISSN1674-733X
2016
卷号59期号:5页码:1-13
收录类别SCI ; EI ; CSCD
EI收录号20161102094356
WOS记录号WOS:000375885400015
CSCD记录号CSCD:5712773
产权排序1
资助机构National Natural Science Foundation of China (Grant Nos. 61303168, 61333019).
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.
语种英语
WOS标题词Science & Technology ; Technology
WOS类目Computer Science, Information Systems
关键词[WOS]VARIABLE SELECTION ; ORACLE PROPERTIES ; CONCAVE ; COMPLETION ; MATRIX ; LASSO
WOS研究方向Computer Science
引用统计
文献类型期刊论文
条目标识符http://ir.sia.cn/handle/173321/17735
专题机器人学研究室
通讯作者Han Z(韩志)
作者单位1.State Key Laboratory of Robotics, Shenyang Institute of Automation, Chinese Academy of Sciences, Shenyang 110016, China
2.University of Chinese Academy of Sciences, Beijing 100049, China
3.School of Mathematics and Statistics, Xi’an Jiaotong University, Xi’an, 710049, China
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.
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