supported by the National Science Foundation of China(No.12071398);the Natural Science Foundation of Hunan Province(No.2020JJ4567);the Key Scientific Research Found of Hunan Education Department(Nos.20A097 and 18A351).
Canonical correlation analysis(CCA)describes the relationship between two sets of variables by finding a linear combination that maximizes the correlation coefficient.However,in high-dimensional settings where the num...
partially supported by Guangdong Fundamental Research Fund(No.2021A1515011825);Shenzhen Fundamental Research Fund(No.KQJSCX20170728162302784).
Random projection is often used to project higher-dimensional vectors onto a lower-dimensional space,while approximately preserving their pairwise distances.It has emerged as a powerful tool in various data processing...
Recently,finding the sparsest solution of an underdetermined linear system has become an important request in many areas such as compressed sensing,image processing,statistical learning,and data sparse approximation.I...
the National Natural Science Foundation of China(No.11371242)。
Logistic regression has been proved as a promising method for machine learning,which focuses on the problem of classification.In this paper,we present anl_(1)-l_(2)-regularized logistic regression model,where thel1-no...
supported in part by the National Natural Science Foundation of China(Nos.11431002,71271021).
In this paper,we mainly study the existence of solutions to sparsity constrained optimization(SCO).Based on the expressions of tangent cone and normal cone of sparsity constraint,we present and characterize two first-...
supported by the National Natural Sciences Foundation of China(No.11371116);Innovation Foundation for Graduate Students of Harbin Normal University(No.HSDSSCX2015-28).
In this paper,we study optimization problems with the sparsity constraints.Firstly we give the expressions of the Mordukhovich(the limiting)normal cone of sparsity constraint and its intersection with a polyhedral set...
Jian-Feng Cai is partially supported by the National Natural Science Foundation of USA(No.DMS 1418737).
In image restoration,we usually assume that the underlying image has a good sparse approximation under a certain system.Wavelet tight frame system has been proven to be such an efficient system to sparsely approximate...
This work was supported by the Chinese NSF Grants(Nos.11331012 and 81173633);the China National Funds for Distinguished Young Scientists(No.11125107);the CAS Program for Cross&Coorperative Team of the Science&Technology Innovation;The authors are grateful to Professors Masao Fukushima and Ya-xiang Yuan for their warm encouragement and valuable suggestions.They also thank the two anonymous referees very much for their useful comments on an early version of this paper.
Based on the idea of maximum determinant positive definite matrix completion,Yamashita(Math Prog 115(1):1–30,2008)proposed a new sparse quasi-Newton update,called MCQN,for unconstrained optimization problems with spa...
supported by the National Science Foundation of China(No.11101410);China Postdoctoral Science Foundation(No.2011M500416).
Robust PCA has found important applications in many areas,such as video surveillance,face recognition,latent semantic indexing and so on.In this paper,we study its application in ground moving target indication(GMTI)i...