supported by National Natural Science Foundation of China(Grant Nos.11631013 and 11331012);the National Basic Research Program of China(Grant No.2015CB856002);the Major Project to Promote Development of Big Data from National Development and Reform Commission(Grant No.2016-999999-65-01-000696-01)。
The well-known sequentially lifted cover inequality is widely employed in solving mixed integer programs.However,it is still an open question whether a sequentially lifted cover inequality can be computed in polynomia...
supported by CAS-President International Fellowship Initiative (PIFI), Chinese Academy of Sciences, Beijing, China;supported by National Natural Science Foundation of China (Grants Nos. 11688101 and 11331012)
Notion of metrically regular property and certain types of point-based approximations are used for solving the nonsmooth generalized equation f(x)+F(x)?0,where X and Y are Banach spaces,and U is an open subset of X,f:...
The authors would like to thank two anonymous referees for their valuable comments and suggestions.The author Yu-hong Dai is supported by the Chinese Natural Science Foundation(Nos.11631013,71331001 and 11331012);the National 973 Program of China(No.2015CB856002);The author Fengmin Xu is supported by the Chinese NSF grants(Nos.11571271,11631013 and 11605139).
In this paper we propose an efficient and robust method for computing the analytic center of the polyhedral set P={x€R^n|Ax=b,x>0},where the matrix A€ Rm×n is ill-conditioned,and there are errors in A and b.Besides o...
supported by National Natural Science Foundation of China (Grant Nos. 11571271,11631013,11331012 and 71331001);the National Science Fund for Distinguished Young Scholars (Grant No. 11125107);the National 973 Program of China (Grant Nos. 2015CB856002 and 2013CB329404)
Sparse optimization has attracted increasing attention in numerous areas such as compressed sensing, financial optimization and image processing. In this paper, we first consider a special class of cardinality constra...
Supported by the National 973 Plan project(2011CB706900);the National 863 Plan project(2011AA01A102);the NSFC(11331012,11571015);the "Strategic Priority Research Program" of Chinese Academy of Sciences(XDA06010302)
Zhiqiang Xuwas supported by NSFC grant(91630203,11422113,11331012,11688101);by National Basic Research Program of China(973 Program 2015CB856000);Tao Zhou was supported by the NSF of China(under grant numbers 11688101,91630312,91630203,11571351,and 11731006);the science challenge project(No.TZ2018001),NCMIS,and the youth innovation promotion association(CAS).
In this paper,we discuss a gradient-enhancedℓ_(1)approach for the recovery of sparse Fourier expansions.By gradient-enhanced approaches we mean that the directional derivatives along given vectors are utilized to impr...