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Quantitative stability for a class of stochastic vector linear variational inequalities 一类随机向量线性变分不等式的定量稳定性
IF 2.2 3区 数学
Optimization Pub Date : 2024-06-26 DOI: 10.1080/02331934.2024.2367637
Jianxun Liu, Liqin Lin, Yong Zhao, Changcheng Gong
{"title":"Quantitative stability for a class of stochastic vector linear variational inequalities","authors":"Jianxun Liu, Liqin Lin, Yong Zhao, Changcheng Gong","doi":"10.1080/02331934.2024.2367637","DOIUrl":"https://doi.org/10.1080/02331934.2024.2367637","url":null,"abstract":"This paper considers the expected value (for short, EV) formulation for a class of stochastic vector linear variational inequalities (for short, SVLVI). We first discuss the existence of solutions ...","PeriodicalId":54671,"journal":{"name":"Optimization","volume":"11 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141513663","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Augmented Lagrangian method for nonlinear circular conic programs: a local convergence analysis 非线性圆锥程序的增量拉格朗日法：局部收敛性分析
IF 2.2 3区 数学
Optimization Pub Date : 2024-06-25 DOI: 10.1080/02331934.2024.2370426
Yue Lu, Hong-Min Ma, Dong-Yang Xue, Jein-Shan Chen
{"title":"Augmented Lagrangian method for nonlinear circular conic programs: a local convergence analysis","authors":"Yue Lu, Hong-Min Ma, Dong-Yang Xue, Jein-Shan Chen","doi":"10.1080/02331934.2024.2370426","DOIUrl":"https://doi.org/10.1080/02331934.2024.2370426","url":null,"abstract":"In this paper, we analyse a local convergence of augmented Lagrangian method (ALM) for a class of nonlinear circular conic optimization problems. In light of the singular value decomposition, the D...","PeriodicalId":54671,"journal":{"name":"Optimization","volume":"45 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-06-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141577811","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Optimal control of sweeping processes in unmanned surface vehicle and nanoparticle modelling 无人水面飞行器清扫过程的优化控制和纳米粒子建模
IF 2.2 3区 数学
Optimization Pub Date : 2024-06-21 DOI: 10.1080/02331934.2024.2366832
Boris S. Mordukhovich, Dao Nguyen, Trang Nguyen
{"title":"Optimal control of sweeping processes in unmanned surface vehicle and nanoparticle modelling","authors":"Boris S. Mordukhovich, Dao Nguyen, Trang Nguyen","doi":"10.1080/02331934.2024.2366832","DOIUrl":"https://doi.org/10.1080/02331934.2024.2366832","url":null,"abstract":"This paper addresses novel applications to practical modelling of the newly developed theory of necessary optimality conditions in controlled sweeping/Moreau processes with free time and pointwise ...","PeriodicalId":54671,"journal":{"name":"Optimization","volume":"1 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141508532","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Quantitative stability for stochastic tensor variational inequalities 随机张量变分不等式的定量稳定性
IF 2.2 3区 数学
Optimization Pub Date : 2024-06-19 DOI: 10.1080/02331934.2024.2367679
Tong-tong Shang, Guo-ji Tang
{"title":"Quantitative stability for stochastic tensor variational inequalities","authors":"Tong-tong Shang, Guo-ji Tang","doi":"10.1080/02331934.2024.2367679","DOIUrl":"https://doi.org/10.1080/02331934.2024.2367679","url":null,"abstract":"The goal of this article is to investigate a class of stochastic tensor variational inequalities (denoted by STVI), which is a generalization of the stochastic linear variational inequalities (deno...","PeriodicalId":54671,"journal":{"name":"Optimization","volume":"27 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-06-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141508533","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Iteration and stochastic first-order oracle complexities of stochastic gradient descent using constant and decaying learning rates 使用恒定和衰减学习率的随机梯度下降的迭代和随机一阶甲骨文复杂性
IF 2.2 3区 数学
Optimization Pub Date : 2024-06-19 DOI: 10.1080/02331934.2024.2367635
Kento Imaizumi, Hideaki Iiduka
{"title":"Iteration and stochastic first-order oracle complexities of stochastic gradient descent using constant and decaying learning rates","authors":"Kento Imaizumi, Hideaki Iiduka","doi":"10.1080/02331934.2024.2367635","DOIUrl":"https://doi.org/10.1080/02331934.2024.2367635","url":null,"abstract":"The performance of stochastic gradient descent (SGD), which is the simplest first-order optimizer for training deep neural networks, depends on not only the learning rate but also the batch size. T...","PeriodicalId":54671,"journal":{"name":"Optimization","volume":"157 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-06-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141508534","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Levitin–Polyak well-posedness of split multivalued variational inequalities 列维京-波利亚克分裂多值变分不等式的好求解性
IF 2.2 3区 数学
Optimization Pub Date : 2024-05-30 DOI: 10.1080/02331934.2024.2358408
Soumitra Dey, Simeon Reich
{"title":"Levitin–Polyak well-posedness of split multivalued variational inequalities","authors":"Soumitra Dey, Simeon Reich","doi":"10.1080/02331934.2024.2358408","DOIUrl":"https://doi.org/10.1080/02331934.2024.2358408","url":null,"abstract":"We introduce and study the split multivalued variational inequality problem (SMVIP) and the parametric SMVIP. We examine, in particular, Levitin–Polyak well-posedness of SMVIPs and parametric SMVIP...","PeriodicalId":54671,"journal":{"name":"Optimization","volume":"11 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-05-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141508535","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Pre-conditioning CQ algorithm for solving the split feasibility problem and its application to image restoration problem 解决分割可行性问题的前置条件 CQ 算法及其在图像复原问题中的应用
IF 2.2 3区 数学
Optimization Pub Date : 2024-05-30 DOI: 10.1080/02331934.2024.2358412
Ebru Altıparmak, Lateef Olakunle Jolaoso, Ibrahim Karahan, Habib ur Rehman
{"title":"Pre-conditioning CQ algorithm for solving the split feasibility problem and its application to image restoration problem","authors":"Ebru Altıparmak, Lateef Olakunle Jolaoso, Ibrahim Karahan, Habib ur Rehman","doi":"10.1080/02331934.2024.2358412","DOIUrl":"https://doi.org/10.1080/02331934.2024.2358412","url":null,"abstract":"In this study, we define two pre-conditioning CQ algorithms for the split feasibility problem by using self-adaptive and line-search techniques in the real Hilbert space. One of the self-adaptive t...","PeriodicalId":54671,"journal":{"name":"Optimization","volume":"20 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-05-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141552560","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Dual Kuhn-Tucker necessary conditions for strict minima of order two for nonsmooth vector optimization problems with inequality and equality constraints 具有不等式和等式约束的非光滑矢量优化问题的二阶严格最小值的双重库恩-塔克必要条件
IF 2.2 3区 数学
Optimization Pub Date : 2024-05-29 DOI: 10.1080/02331934.2024.2358403
Elena Constantin
{"title":"Dual Kuhn-Tucker necessary conditions for strict minima of order two for nonsmooth vector optimization problems with inequality and equality constraints","authors":"Elena Constantin","doi":"10.1080/02331934.2024.2358403","DOIUrl":"https://doi.org/10.1080/02331934.2024.2358403","url":null,"abstract":"In this paper, we give primal and dual Kuhn-Tucker necessary conditions for the existence of a strict local minimum of order two for vector optimization problems with equality and inequality constr...","PeriodicalId":54671,"journal":{"name":"Optimization","volume":"29 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-05-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141513593","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Modified subgradient extragradient method for solution of split variational inequality problem with application to generalized Nash equilibrium problem 求解分割变分不等式问题的修正子梯度外梯度法及其在广义纳什均衡问题中的应用
IF 2.2 3区 数学
Optimization Pub Date : 2024-05-29 DOI: 10.1080/02331934.2024.2358413
Renu Chugh, Nishu Gupta, Charu Batra
{"title":"Modified subgradient extragradient method for solution of split variational inequality problem with application to generalized Nash equilibrium problem","authors":"Renu Chugh, Nishu Gupta, Charu Batra","doi":"10.1080/02331934.2024.2358413","DOIUrl":"https://doi.org/10.1080/02331934.2024.2358413","url":null,"abstract":"In this research, we propose modified subgradient extragradient method to find the common solution of split variational inequality problem and common fixed point problem of a finite family of demic...","PeriodicalId":54671,"journal":{"name":"Optimization","volume":"186 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-05-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141513596","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A minimax approach to duality for linear distributional sensitivity testing 线性分布灵敏度测试的最小二元性方法
IF 2.2 3区 数学
Optimization Pub Date : 2024-05-29 DOI: 10.1080/02331934.2024.2358410
Gusti van Zyl
{"title":"A minimax approach to duality for linear distributional sensitivity testing","authors":"Gusti van Zyl","doi":"10.1080/02331934.2024.2358410","DOIUrl":"https://doi.org/10.1080/02331934.2024.2358410","url":null,"abstract":"We consider the dual formulation of the problem of finding the maximum of Eν[f(X)], where ν is allowed to vary over all the probability measures on a Polish space X for which dc(μ,ν)≤r, with dc an ...","PeriodicalId":54671,"journal":{"name":"Optimization","volume":"221 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-05-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141513664","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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