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Existence and stability to vector optimization problems via improvement sets 基于改进集的向量优化问题的存在性与稳定性
Journal of Applied and Numerical Optimization Pub Date : 2023-08-01 DOI: 10.23952/jano.5.2023.2.03
{"title":"Existence and stability to vector optimization problems via improvement sets","authors":"","doi":"10.23952/jano.5.2023.2.03","DOIUrl":"https://doi.org/10.23952/jano.5.2023.2.03","url":null,"abstract":"","PeriodicalId":205734,"journal":{"name":"Journal of Applied and Numerical Optimization","volume":"195 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124340316","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The boosted proximal difference-of-convex algorithm 增强的近端凸差分算法
Journal of Applied and Numerical Optimization Pub Date : 2023-08-01 DOI: 10.23952/jano.5.2023.2.05
{"title":"The boosted proximal difference-of-convex algorithm","authors":"","doi":"10.23952/jano.5.2023.2.05","DOIUrl":"https://doi.org/10.23952/jano.5.2023.2.05","url":null,"abstract":"","PeriodicalId":205734,"journal":{"name":"Journal of Applied and Numerical Optimization","volume":"46 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116726609","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A note on the subdifferential of convex multi-composite functionals 关于凸多重复合泛函的次微分的注记
Journal of Applied and Numerical Optimization Pub Date : 2023-08-01 DOI: 10.23952/jano.5.2023.2.07
{"title":"A note on the subdifferential of convex multi-composite functionals","authors":"","doi":"10.23952/jano.5.2023.2.07","DOIUrl":"https://doi.org/10.23952/jano.5.2023.2.07","url":null,"abstract":"","PeriodicalId":205734,"journal":{"name":"Journal of Applied and Numerical Optimization","volume":"3 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134569198","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Multi-step actor-critic framework for reinforcement learning in continuous control 连续控制中强化学习的多步行为者-批判框架
Journal of Applied and Numerical Optimization Pub Date : 2023-08-01 DOI: 10.23952/jano.5.2023.2.01
{"title":"Multi-step actor-critic framework for reinforcement learning in continuous control","authors":"","doi":"10.23952/jano.5.2023.2.01","DOIUrl":"https://doi.org/10.23952/jano.5.2023.2.01","url":null,"abstract":"","PeriodicalId":205734,"journal":{"name":"Journal of Applied and Numerical Optimization","volume":"121 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122119522","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Model predictive control of discrete-time linear systems by ADMM with applications to turbofan engine control problems 离散线性系统的ADMM模型预测控制及其在涡扇发动机控制中的应用
Journal of Applied and Numerical Optimization Pub Date : 2023-08-01 DOI: 10.23952/jano.5.2023.2.02
Jiao Teng, DU Xian, Lei Wang, Xinwei Wang, Junmei Wu
{"title":"Model predictive control of discrete-time linear systems by ADMM with applications to turbofan engine control problems","authors":"Jiao Teng, DU Xian, Lei Wang, Xinwei Wang, Junmei Wu","doi":"10.23952/jano.5.2023.2.02","DOIUrl":"https://doi.org/10.23952/jano.5.2023.2.02","url":null,"abstract":". In this paper, we consider optimal control problems with linear discrete state space model, which originate from a class of turbofan engines. The optimization problem associated with each moving horizon estimation (MHE) in classical model predictive control (MPC) is a quadratic programming (QP) problem, and the general QP algorithms does not exploit the structural features of the turbofan engine itself to improve the computational efficiency of the algorithm. In the framework of model predictive control, the turbofan engine model makes the rolling optimization subproblem exhibit a sparse structure. Based on this feature, the alternating direction method of multipliers (ADMM) is employed to solve each optimization sub-problem and design an improved MPC-ADMM algorithm for solving this class of optimal control problems. The simulation results are compared with the MPC-QP algorithm by numerical examples to show the effectiveness and superiority of the novel algorithm.","PeriodicalId":205734,"journal":{"name":"Journal of Applied and Numerical Optimization","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128648114","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Iterative solutions of split fixed point and monotone inclusion problems in Hilbert spaces 希尔伯特空间中分裂不动点和单调包含问题的迭代解
Journal of Applied and Numerical Optimization Pub Date : 2023-08-01 DOI: 10.23952/jano.5.2023.2.06
{"title":"Iterative solutions of split fixed point and monotone inclusion problems in Hilbert spaces","authors":"","doi":"10.23952/jano.5.2023.2.06","DOIUrl":"https://doi.org/10.23952/jano.5.2023.2.06","url":null,"abstract":"","PeriodicalId":205734,"journal":{"name":"Journal of Applied and Numerical Optimization","volume":"66 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121612699","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
IdentifyMix: An efficient two-stage learning approach to combating label noise IdentifyMix:一个有效的两阶段学习方法来对抗标签噪声
Journal of Applied and Numerical Optimization Pub Date : 2023-08-01 DOI: 10.23952/jano.5.2023.2.04
{"title":"IdentifyMix: An efficient two-stage learning approach to combating label noise","authors":"","doi":"10.23952/jano.5.2023.2.04","DOIUrl":"https://doi.org/10.23952/jano.5.2023.2.04","url":null,"abstract":"","PeriodicalId":205734,"journal":{"name":"Journal of Applied and Numerical Optimization","volume":"268 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132642335","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Fenchel subdifferential operators: A characterization without cyclic monotonicity Fenchel次微分算子:无循环单调性的表征
Journal of Applied and Numerical Optimization Pub Date : 2022-12-05 DOI: 10.23952/jano.5.2023.1.12
J. E. Mart'inez-Legaz
{"title":"Fenchel subdifferential operators: A characterization without cyclic monotonicity","authors":"J. E. Mart'inez-Legaz","doi":"10.23952/jano.5.2023.1.12","DOIUrl":"https://doi.org/10.23952/jano.5.2023.1.12","url":null,"abstract":"Fenchel subdifferential operators of lower semicontinuous proper convex functions on real Banach spaces are classically characterized as those operators that are maximally cyclically monotone or, equivalently, maximally monotone and cyclically monotone. This paper presents an alternative characterization, which does not involve cyclic monotonicity. In the case of subdifferential operators of sublinear functions, the new characterization substantially simplifies. Dually, the new characterization of normal cone operators is very simple, too.","PeriodicalId":205734,"journal":{"name":"Journal of Applied and Numerical Optimization","volume":"22 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-12-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116849559","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
On the lower semicontinuity and subdifferentiability of the value function for conic linear programming problems 二次线性规划问题值函数的下半连续性和次可微性
Journal of Applied and Numerical Optimization Pub Date : 2022-05-19 DOI: 10.23952/jano.5.2023.1.09
C. Zălinescu
{"title":"On the lower semicontinuity and subdifferentiability of the value function for conic linear programming problems","authors":"C. Zălinescu","doi":"10.23952/jano.5.2023.1.09","DOIUrl":"https://doi.org/10.23952/jano.5.2023.1.09","url":null,"abstract":"Lemma 1 from the paper [N.E. Gretsky, J.M. Ostroy, W.R. Zame, Subdifferentiability and the duality gap, Positivity 6: 261–274, 2002] asserts that the value function v of an infinite dimensional linear programming problem in standard form is lower semicontinuous whenever v is proper and the involved spaces are normed vector spaces. In this note one shows that this statement is false even in finite-dimensional spaces, one provides an example of linear programming problem in Hilbert spaces whose (proper) value function is not lower semicontinuous (hence it is not subdifferentiable) at any point in its domain, one shows that the restriction of the value function to its domain in Kretschmer’s gap example is not bounded on any neighborhood of any point of the domain, and discuss other assertions done in the same paper.","PeriodicalId":205734,"journal":{"name":"Journal of Applied and Numerical Optimization","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-05-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123881955","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
The fixed point property of quasi-point-separable topological vector spaces 拟点可分拓扑向量空间的不动点性质
Journal of Applied and Numerical Optimization Pub Date : 2022-01-02 DOI: 10.23952/jano.5.2023.1.08
Jinlu Li
{"title":"The fixed point property of quasi-point-separable topological vector spaces","authors":"Jinlu Li","doi":"10.23952/jano.5.2023.1.08","DOIUrl":"https://doi.org/10.23952/jano.5.2023.1.08","url":null,"abstract":"In this paper, we introduce the concept of quasi-point-separable topological vector spaces, which has the following important properties: 1. In general, the conditions for a topological vector space to be quasi-pointseparable is not very difficult to check; 2. The class of quasi-point-separable topological vector spaces is very large that includes locally convex topological vector spaces and pseudonorm adjoint topological vector spaces as special cases; 3. Every quasi-point-separable Housdorrf topological vector space has the fixed point property (that is, every continuous self-mapping on any given nonempty closed and convex subset has a fixed point), which is the result of the main theorem of this paper (Theorem 4.1); Furthermore, we provide some concrete examples of quasi-point-separable topological vector spaces, which are not locally convex. It follows that the main theorem of this paper is a proper extension of Tychonoff’s fixed point theorem on locally convex topological vector spaces.","PeriodicalId":205734,"journal":{"name":"Journal of Applied and Numerical Optimization","volume":"24 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123755284","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","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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