Pub Date : 2024-03-03DOI: 10.1080/02331934.2024.2323687
Haifeng Huo, Xian Wen
This paper investigates the piecewise deterministic Markov decision processes (PDMDPs) under the risk probability criterion. The optimality problem is to minimize the probability that the finite ho...
本文研究了风险概率准则下的片断确定性马尔可夫决策过程（PDMDPs）。优化问题是最小化有限豪...
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Pub Date : 2024-03-01DOI: 10.1080/02331934.2024.2322152
Morteza Maleknia, Majid Soleimani-damaneh
We propose a descent subgradient algorithm for minimizing a function f:Rn→R, assumed to be locally Lipschitz, but not necessarily smooth or convex. To find an effective descent direction, the Golds...
{"title":"A descent subgradient method using Mifflin's line search for nonsmooth nonconvex optimization","authors":"Morteza Maleknia, Majid Soleimani-damaneh","doi":"10.1080/02331934.2024.2322152","DOIUrl":"https://doi.org/10.1080/02331934.2024.2322152","url":null,"abstract":"We propose a descent subgradient algorithm for minimizing a function f:Rn→R, assumed to be locally Lipschitz, but not necessarily smooth or convex. To find an effective descent direction, the Golds...","PeriodicalId":54671,"journal":{"name":"Optimization","volume":"12 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140002373","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 : 2024-02-29DOI: 10.1080/02331934.2024.2322155
Oliver Stein, Maximilian Volk
The sharp local minimality of feasible points of nonlinear optimization problems is known to possess a characterization by a strengthened version of the Karush–Kuhn–Tucker conditions, as long as th...
{"title":"On the weakest constraint qualification for sharp local minimizers","authors":"Oliver Stein, Maximilian Volk","doi":"10.1080/02331934.2024.2322155","DOIUrl":"https://doi.org/10.1080/02331934.2024.2322155","url":null,"abstract":"The sharp local minimality of feasible points of nonlinear optimization problems is known to possess a characterization by a strengthened version of the Karush–Kuhn–Tucker conditions, as long as th...","PeriodicalId":54671,"journal":{"name":"Optimization","volume":"95 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-02-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140002241","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 : 2024-02-28DOI: 10.1080/02331934.2024.2323102
Haiying Li, Xingfang Wang, Fenghui Wang
In this paper, we present a modified projection and contraction method for solving quasi-monotone variational inequalities in real Hilbert spaces. Our proposed method is a combination of double ine...
{"title":"Projection and contraction method with double inertial steps for quasi-monotone variational inequalities","authors":"Haiying Li, Xingfang Wang, Fenghui Wang","doi":"10.1080/02331934.2024.2323102","DOIUrl":"https://doi.org/10.1080/02331934.2024.2323102","url":null,"abstract":"In this paper, we present a modified projection and contraction method for solving quasi-monotone variational inequalities in real Hilbert spaces. Our proposed method is a combination of double ine...","PeriodicalId":54671,"journal":{"name":"Optimization","volume":"41 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140002232","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 : 2024-02-23DOI: 10.1080/02331934.2024.2318253
A. V. Arutyunov, S. E. Zhukovskiy
In this paper, we introduce the concept of generalized saddle points for a function defined on a product of topological spaces. The generalized saddle points are defined as minima of a special func...
本文介绍了定义在拓扑空间积上的函数的广义鞍点概念。广义鞍点被定义为一个特殊函数的最小值。
{"title":"On stability of the generalized saddle points","authors":"A. V. Arutyunov, S. E. Zhukovskiy","doi":"10.1080/02331934.2024.2318253","DOIUrl":"https://doi.org/10.1080/02331934.2024.2318253","url":null,"abstract":"In this paper, we introduce the concept of generalized saddle points for a function defined on a product of topological spaces. The generalized saddle points are defined as minima of a special func...","PeriodicalId":54671,"journal":{"name":"Optimization","volume":"16 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-02-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139954608","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 : 2024-02-21DOI: 10.1080/02331934.2024.2314241
Yi Zhang, Isao Yamada
Standard approaches to difference-of-convex (DC) programs require exact solution to a convex subproblem at each iteration, which generally requires noiseless computation and infinite iterations of ...
{"title":"An inexact proximal linearized DC algorithm with provably terminating inner loop","authors":"Yi Zhang, Isao Yamada","doi":"10.1080/02331934.2024.2314241","DOIUrl":"https://doi.org/10.1080/02331934.2024.2314241","url":null,"abstract":"Standard approaches to difference-of-convex (DC) programs require exact solution to a convex subproblem at each iteration, which generally requires noiseless computation and infinite iterations of ...","PeriodicalId":54671,"journal":{"name":"Optimization","volume":"61 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-02-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139918553","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 : 2024-02-19DOI: 10.1080/02331934.2024.2318251
Ji-Chuan Liu
In this paper, we are concerned with the coefficients identification for the Helmholtz equation. This problem consists of determining the shape and surface impedance from boundary Cauchy data. We p...
{"title":"Simultaneous reconstruction of the shape and surface impedance from Cauchy data for the Helmholtz equation","authors":"Ji-Chuan Liu","doi":"10.1080/02331934.2024.2318251","DOIUrl":"https://doi.org/10.1080/02331934.2024.2318251","url":null,"abstract":"In this paper, we are concerned with the coefficients identification for the Helmholtz equation. This problem consists of determining the shape and surface impedance from boundary Cauchy data. We p...","PeriodicalId":54671,"journal":{"name":"Optimization","volume":"232 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-02-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139903921","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 : 2024-02-16DOI: 10.1080/02331934.2024.2318258
Max L. N. Gonçalves
This paper proposes and analyses a subsampled Cubic Regularization Method (CRM) for solving finite-sum optimization problems. The new method uses random subsampling techniques to approximate the fu...
{"title":"Subsampled cubic regularization method for finite-sum minimization","authors":"Max L. N. Gonçalves","doi":"10.1080/02331934.2024.2318258","DOIUrl":"https://doi.org/10.1080/02331934.2024.2318258","url":null,"abstract":"This paper proposes and analyses a subsampled Cubic Regularization Method (CRM) for solving finite-sum optimization problems. The new method uses random subsampling techniques to approximate the fu...","PeriodicalId":54671,"journal":{"name":"Optimization","volume":"26 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-02-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139765340","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 : 2024-02-13DOI: 10.1080/02331934.2024.2313689
K. Mahalik, C. Nahak
In this article, we propose the inverse variational-hemivariational inequalities problems (IVHIP) and its Tikhonov regularization theory. We establish the existence results for IVHIP and its regula...
{"title":"On inverse variational–hemivariational inequalities and its regularization","authors":"K. Mahalik, C. Nahak","doi":"10.1080/02331934.2024.2313689","DOIUrl":"https://doi.org/10.1080/02331934.2024.2313689","url":null,"abstract":"In this article, we propose the inverse variational-hemivariational inequalities problems (IVHIP) and its Tikhonov regularization theory. We establish the existence results for IVHIP and its regula...","PeriodicalId":54671,"journal":{"name":"Optimization","volume":"281 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-02-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139765345","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 : 2024-02-12DOI: 10.1080/02331934.2024.2314242
Eduardo Casas, Mariano Mateos, Arnd Rösch
We study a control problem governed by a semilinear parabolic equation with pointwise control and state constraints imposed at every point of the space-time cylinder. We obtain second order suffici...
{"title":"New second order sufficient optimality conditions for state constrained parabolic control problems","authors":"Eduardo Casas, Mariano Mateos, Arnd Rösch","doi":"10.1080/02331934.2024.2314242","DOIUrl":"https://doi.org/10.1080/02331934.2024.2314242","url":null,"abstract":"We study a control problem governed by a semilinear parabolic equation with pointwise control and state constraints imposed at every point of the space-time cylinder. We obtain second order suffici...","PeriodicalId":54671,"journal":{"name":"Optimization","volume":"9 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-02-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139765725","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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