Pub Date : 2024-06-26DOI: 10.1080/02331934.2024.2367637
Jianxun Liu, Liqin Lin, Yong Zhao, Changcheng Gong
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 ...
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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...
本文分析了一类非线性圆锥优化问题的增强拉格朗日法（ALM）的局部收敛性。根据奇异值分解、D...
{"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}
Pub Date : 2024-06-21DOI: 10.1080/02331934.2024.2366832
Boris S. Mordukhovich, Dao Nguyen, Trang Nguyen
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 ...
本文探讨了新开发的必要最优条件理论在自由时间和点式受控清扫/莫罗过程中的实际建模中的新应用。
{"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}
Pub Date : 2024-06-19DOI: 10.1080/02331934.2024.2367679
Tong-tong Shang, Guo-ji Tang
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...
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Pub Date : 2024-06-19DOI: 10.1080/02331934.2024.2367635
Kento Imaizumi, Hideaki Iiduka
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...
{"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}
Pub Date : 2024-05-30DOI: 10.1080/02331934.2024.2358408
Soumitra Dey, Simeon Reich
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...
{"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}
Pub Date : 2024-05-30DOI: 10.1080/02331934.2024.2358412
Ebru Altıparmak, Lateef Olakunle Jolaoso, Ibrahim Karahan, Habib ur Rehman
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...
{"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}
Pub Date : 2024-05-29DOI: 10.1080/02331934.2024.2358403
Elena Constantin
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...
{"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}
Pub Date : 2024-05-29DOI: 10.1080/02331934.2024.2358413
Renu Chugh, Nishu Gupta, Charu Batra
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...
{"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}
Pub Date : 2024-05-29DOI: 10.1080/02331934.2024.2358410
Gusti van Zyl
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 ...
我们考虑了求 Eν[f(X)]最大值问题的对偶表述，其中允许ν在波兰空间 X 上的所有概率度量中变化，对于这些度量，dc(μ,ν)≤r，dc 是...
{"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}
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