NONSMOOTH

作品数:84被引量:95H指数:5
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相关作者:王文松刘晶高岩汪洋蔡邢菊更多>>
相关机构:南京师范大学四川大学上海理工大学更多>>
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SEMI-PROXIMAL POINT METHOD FOR NONSMOOTH CONVEX-CONCAVE MINIMAX OPTIMIZATION
《Journal of Computational Mathematics》2024年第3期617-637,共21页Yuhong Dai Jiani Wang Liwei Zhang 
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...
关键词:Minimax optimization Convexity-concavity Global convergence Rate of con-vergence Locally metrical subregularity 
A new class of generalized quasi-variational inequalities with applications to Oseen problems under nonsmooth boundary conditions
《Science China Mathematics》2024年第2期315-338,共24页Shengda Zeng Akhtar A.Khan Stanislaw Migórski 
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 ...
关键词:generalized quasi-variational inequality existence theorem optimal control Kakutani-Ky Fan theorem Oseen problem non-Newtonian fluid nonmonotone slip boundary condition 
Proximal Linearized Minimization Algorithm for Nonsmooth Nonconvex Minimization Problems in Image Deblurring with Impulse Noise
《Journal of Mathematical Research with Applications》2024年第1期122-142,共21页Shirong DENG Yuchao TANG 
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...
关键词:nonconvex data fidelity term impulse noise total variation proximal linearized minimization 
Optimality Conditions for Generalized Convex Nonsmooth Uncertain Multi-objective Fractional Programming
《Journal of the Operations Research Society of China》2023年第4期809-826,共18页Xiao Pan Guo-Lin Yu Tian-Tian Gong 
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...
关键词:Multi-objective fractional programming Robust weak efficient solution Generalized convex function Optimality condition Saddle point 
Characterizing Shadow Price via Lagrange Multiplier for Nonsmooth Problem
《Journal of the Operations Research Society of China》2023年第4期827-838,共12页Yan Gao 
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...
关键词:Shadow price Lagrange multiplier Nonsmooth optimization 
A Hybrid Conjugate Gradient Algorithm for Nonconvex Functions and Its Applications in Image Restoration Problems被引量:2
《Journal of the Operations Research Society of China》2023年第4期759-781,共23页Gong-Lin Yuan Ying-Jie Zhou Meng-Xiang Zhang 
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...
关键词:Conjugate gradient Smooth and nonsmooth problems Nonconvex functions Global convergence 
Convergence analysis of an infeasible quasi- Newton bundle method for nonsmooth convex programming
《Frontiers of Mathematics in China》2023年第5期367-380,共14页Jie SHEN Fangfang GUO Liping PANG 
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...
关键词:Non-smooth optimization convex constraint improvement function bundle method quasi-Newton direction 
Sufficiency and Duality for Nonsmooth Interval-Valued Optimization Problems via Generalized Invex-Infine Functions
《Journal of the Operations Research Society of China》2023年第3期505-527,共23页Izhar Ahmad Krishna Kummari S.Al-Homidan 
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 ...
关键词:Mordukhovich subdifferential Locally Lipschitz functions Generalized invex-infine function Interval-valued programming LU-optimal Constraint qualifications DUALITY 
TWO-PHASE IMAGE SEGMENTATION BY NONCONVEX NONSMOOTH MODELS WITH CONVERGENT ALTERNATING MINIMIZATION ALGORITHMS
《Journal of Computational Mathematics》2023年第4期588-622,共35页Weina Wang Nannan Tian Chunlin Wu 
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...
关键词:Nonconvex nonsmooth regularization Characteristic function Box constraints Support shrinking alternating minimization Kurdyka-Lojasiewicz property Image segmentation 
A TRUST-REGION METHOD FOR NONSMOOTH NONCONVEX OPTIMIZATION
《Journal of Computational Mathematics》2023年第4期683-716,共34页Ziang Chen Andre Milzarek Zaiwen Wen 
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...
关键词:Trust-region method Nonsmooth composite programs Quadratic model function Global and local convergence 
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