supported by the Natural Science Foundation of China(Grant Nos.11991021,11991020,12021001,11971372,11971089,11731013);by the Strategic Priority Research Program of Chinese Academy of Sciences(Grant No.XDA27000000);by the National Key R&D Program of China(Grant Nos.2021YFA1000300,2021YFA1000301).
Minimax optimization problems are an important class of optimization problems arising from modern machine learning and traditional research areas.While there have been many numerical algorithms for solving smooth conv...
The first author was supported by the Guangxi Natural Science Foundation of China(Grant No.2021GXNSFFA196004);National Natural Science Foundation of China(Grant No.12001478);Horizon 2020 of the European Union(Grant No.823731 CONMECH);National Science Center of Poland(Grant No.2017/25/N/ST1/00611);The second author was supported by National Science Foundation of USA(Grant No.DMS 1720067);The third author was supported by the National Science Center of Poland(Grant No.2021/41/B/ST1/01636);the Ministry of Science and Higher Education of Poland(Grant Nos.4004/GGPJII/H2020/2018/0 and 440328/PnH2/2019)。
In this paper, we study a generalized quasi-variational inequality (GQVI for short) with twomultivalued operators and two bifunctions in a Banach space setting. A coupling of the Tychonov fixedpoint principle and the ...
Supported by the National Natural Science Foundations of China(Grant No.12061045,12031003);the Guangzhou Education Scientific Research Project 2024(Grant No.202315829);the Natural Science Foundation of Jiangxi Province(Grant No.20224ACB211004)。
Impulse noise removal is an important task in image restoration.In this paper,we introduce a general nonsmooth nonconvex model for recovering images degraded by blur and impulsive noise,which can easily include some p...
supported by Natural Science Foundation of China(Nos.11861002 and 12171601);the Key Project of North Minzu University(No.ZDZX201804);the Construction Project of First-Class Disciplines in Ningxia Higher Education(NXYLXK2017B09);the Postgraduate Innovation Project of North Minzu Universit(No.YCX21157)..
This paper aims at studying optimality conditions of robust weak efficient solutions for a nonsmooth uncertain multi-objective fractional programming problem(NUMFP).The concepts of two types of generalized convex func...
supported by the National Natural Science Foundation of China(No.72071130).
In this paper,the relation between the shadow price and the Lagrange multiplier for nonsmooth optimization problem is explored.It is obtained that the Lagrange multipliers are upper bounds of the shadow price for a co...
supported by the National Natural Science Foundation of China(No.11661009);the High Level Innovation Teams and Excellent Scholars Program in Guangxi institutions of higher education(No.[2019]52);the Guangxi Natural Science Key Fund(No.2017GXNSFDA198046);the Special Funds for Local Science and Technology Development Guided by the Central Government(No.ZY20198003);the special foundation for Guangxi Ba Gui Scholars.
It is prominent that conjugate gradient method is a high-efficient solution way for large-scale optimization problems.However,most of the conjugate gradient methods do not have sufficient descent property.In this pape...
By utilizing the improvement function,we change the nonsmooth convex constrained optimization into an unconstrained optimization,and construct an infeasible quasi-Newton bundle method with proximal form.It should be n...
In this paper,a new concept of generalized-affineness type of functions is introduced.This class of functions is more general than some of the corresponding ones discussed in Chuong(Nonlinear Anal Theory Methods Appl ...
supported by the National Natural Science Foundation of China(NSFC)(No.12001144);Zhejiang Provincial Natural Science Foundation of China(No.LQ20A010007);Chern Institute of Mathematics;supported by the National Natural Science Foundation of China(NSFC)(Nos.11871035,11531013).
Two-phase image segmentation is a fundamental task to partition an image into foreground and background.In this paper,two types of nonconvex and nonsmooth regularization models are proposed for basic two-phase segment...
partly supported by the Fundamental Research Fund-Shenzhen Research Institute for Big Data(SRIBD)Startup Fund JCYJ-AM20190601;partly supported by the NSFC grant 11831002;the Beijing Academy of Artificial Intelligence.
We propose a trust-region type method for a class of nonsmooth nonconvex optimization problems where the objective function is a summation of a(probably nonconvex)smooth function and a(probably nonsmooth)convex functi...