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supported by the National Natural Science Foundation of China(Grant Nos.U21A20455,61972265,11871348);by the Natural Science Foundation of Guangdong Province of China(Grant No.2020B1515310008);by the Department of Education of Guangdong Province of China(Grant No.2019KZDZX1007);by the PolyU internal Grant No.P0040271;by the Pazhou Laboratory,Guangzhou,China(Grant No.PZL2021KF0017);by the Guangdong Key Laboratory of Intelligent Information Processing,China.
Low-dose computed tomography(LDCT)contains the mixed noise of Poisson and Gaus-sian,which makes the image reconstruction a challenging task.In order to describe the statistical characteristics of the mixed noise,we ad...
We derive for crystal optics in coordinate-invariant way the cone approximation of refraction vectors in the neighborhood of optic axes and determine its invariants and eigenvectors. It proved to describe an elliptic ...
Arnold, Falk, and Winther [Bull. Amer. Math. Soc. 47 (2010), 281-354] showed that mixed variational problems, and their numerical approximation by mixed methods, could be most completely understood using the ideas a...
supported in part by Early Career Research Grant and Faculty Research Grant by The University of Melbourne;supported in part by Research Grants Council of the Hong Kong Special Administrative Region(project No.HKU 17330816);Society of Actuaries’Centers of Actuarial Excellence Research Grant;supported in part by U.S.Army Research Office under grant W911NF-15-1-0218
This work focuses on numerical methods for finding optimal dividend payment and capital injection policies to maximize the present value of the difference between the cumulative dividend payment and the possible capit...
supported by National Natural Science Foundation of China (Grant Nos. 11401364, 11322109, 11331012, 11471325 and 11461161005);the National High Technology Research and Development Program of China (863 Program) (Grant No. 2013AA122902);the National Center for Mathematics and Interdisciplinary Sciences, Chinese Academy of Sciences;National Basic Research Program of China (973 Program) (Grant No. 2015CB856002)
We study two instances of polynomial optimization problem over a single sphere. The first problem is to compute the best rank-1 tensor approximation. We show the equivalence between two recent semidefinite relaxations...
This paper proposes a new non-intrusive trigonometric polynomial approximation interval method for the dynamic response analysis of nonlinear systems with uncertain-but-bounded parameters and/or initial conditions.Thi...
supported by the Aviation Science Foundation(201120M5007);the Natural Science Foundation of Beijing(4102050)
This paper presents a new method for image separation through employing a combined dictionary consisting of wavelets and complex shearlets. Because the combined dictionary sparsely represents points and curvilinear si...
supported by National Natural Science Foundation of China(Grant Nos.60972113,61101179)
The compressed sensing (CS) theory shows that accurate signal reconstruction depends on presetting an appropriate signal sparsifying dictionary. For CS of superimposed chirps, this dictionary is typically taken to b...
An existence result on Ky Fan type best approximation is proved. For this pur- pose, a class of factorizable multifunctions and the other one being a demicontinuous, rela- tive almost quasi-convex, onto function on an...