Pub Date : 1900-01-01DOI: 10.23952/jano.3.2021.1.04
{"title":"Non-Euclidean proximal methods for convex-concave saddle-point problems","authors":"","doi":"10.23952/jano.3.2021.1.04","DOIUrl":"https://doi.org/10.23952/jano.3.2021.1.04","url":null,"abstract":"","PeriodicalId":205734,"journal":{"name":"Journal of Applied and Numerical Optimization","volume":"283 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133015022","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}
Pub Date : 1900-01-01DOI: 10.23952/jano.4.2022.3.05
{"title":"Primal criteria of metric subregularity for generalized equations","authors":"","doi":"10.23952/jano.4.2022.3.05","DOIUrl":"https://doi.org/10.23952/jano.4.2022.3.05","url":null,"abstract":"","PeriodicalId":205734,"journal":{"name":"Journal of Applied and Numerical Optimization","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132379785","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}
Pub Date : 1900-01-01DOI: 10.23952/jano.4.2022.1.06
{"title":"Strategic decision in a two-period game using a multi-leader-follower approach. Part 1 – General setting and weighted Nash equilibrium","authors":"","doi":"10.23952/jano.4.2022.1.06","DOIUrl":"https://doi.org/10.23952/jano.4.2022.1.06","url":null,"abstract":"","PeriodicalId":205734,"journal":{"name":"Journal of Applied and Numerical Optimization","volume":"51 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115999630","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}
Pub Date : 1900-01-01DOI: 10.23952/jano.2.2020.2.01
Weiwei Deng, Jie Liang, Wenxing Zhang
Jittering is a common phenomenon arising from the area of multimedia data compression and wireless video transmission. The visual abnormality of a jittered image is the jag in edge and loss of synchronization in latitudinal direction. Typically, the problem of intrinsic image dejittering is challenging to be tackled because of the ubiquitous noise in jittered data. In this paper, we develop a convex variational model for solving image dejittering problem by exerting high-order finite differences regularizer in objective function and exploiting linearization to constraints. Upon the recent progress in convex optimization community, the proposed model can be efficiently solved by the first-order primal-dual algorithm. Numerical simulations on recovering both noiseless and noisy jittered data demonstrate the compelling performance of the proposed model.
{"title":"Primal-dual algorithm for solving a convex image dejittering model with hybrid finite differences","authors":"Weiwei Deng, Jie Liang, Wenxing Zhang","doi":"10.23952/jano.2.2020.2.01","DOIUrl":"https://doi.org/10.23952/jano.2.2020.2.01","url":null,"abstract":"Jittering is a common phenomenon arising from the area of multimedia data compression and wireless video transmission. The visual abnormality of a jittered image is the jag in edge and loss of synchronization in latitudinal direction. Typically, the problem of intrinsic image dejittering is challenging to be tackled because of the ubiquitous noise in jittered data. In this paper, we develop a convex variational model for solving image dejittering problem by exerting high-order finite differences regularizer in objective function and exploiting linearization to constraints. Upon the recent progress in convex optimization community, the proposed model can be efficiently solved by the first-order primal-dual algorithm. Numerical simulations on recovering both noiseless and noisy jittered data demonstrate the compelling performance of the proposed model.","PeriodicalId":205734,"journal":{"name":"Journal of Applied and Numerical Optimization","volume":"5 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124931409","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}
Pub Date : 1900-01-01DOI: 10.23952/jano.4.2022.3.01
{"title":"The penalty method for the boundary condition of the Darcy system","authors":"","doi":"10.23952/jano.4.2022.3.01","DOIUrl":"https://doi.org/10.23952/jano.4.2022.3.01","url":null,"abstract":"","PeriodicalId":205734,"journal":{"name":"Journal of Applied and Numerical Optimization","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128785193","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}
Pub Date : 1900-01-01DOI: 10.23952/jano.3.2021.1.12
{"title":"Optimal control in the traffic flow: Multi-lane signalized intersection","authors":"","doi":"10.23952/jano.3.2021.1.12","DOIUrl":"https://doi.org/10.23952/jano.3.2021.1.12","url":null,"abstract":"","PeriodicalId":205734,"journal":{"name":"Journal of Applied and Numerical Optimization","volume":"39 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127297929","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}
Pub Date : 1900-01-01DOI: 10.23952/jano.1.2019.3.11
D. Calogine, O. Chau, P. Lauret
. This paper presents an operational model of an electrical power supply in order to meet the load of a cluster of houses in a remote mountainous area. In outlying areas, an isolated power network represents the most economical solution. However, the implementation of a cluster of houses in an electrical microgrid requires optimal management of the power supply-demand in order to reach the users’ requirements. Our case study is located in the “Cirque de Mafate” in Reunion Island. To build the model, the different types of individual consumption and the available energy production in situ are described. Energy management is achieved through a large mixed integer linear programming system. The model allows the production to fit the consumption by minimizing losses. Numerical calculations have been performed in order to determine an optimal solution that minimizes the use of the battery energy storage system and also satisfies the comfort of the inhabitants. The use of fractional derivative is introduced in the battery storage model. Simulations show that this emerging technology may lead to a technical solution that meets the above requirements of battery energy use and consumer satisfaction. It is also shown that a most effective and efficient use of energy resources is required in order to achieve sustainable management of electrical energy.
{"title":"A fractional derivative approach to modelling a smart grid-off cluster of houses in an isolated area","authors":"D. Calogine, O. Chau, P. Lauret","doi":"10.23952/jano.1.2019.3.11","DOIUrl":"https://doi.org/10.23952/jano.1.2019.3.11","url":null,"abstract":". This paper presents an operational model of an electrical power supply in order to meet the load of a cluster of houses in a remote mountainous area. In outlying areas, an isolated power network represents the most economical solution. However, the implementation of a cluster of houses in an electrical microgrid requires optimal management of the power supply-demand in order to reach the users’ requirements. Our case study is located in the “Cirque de Mafate” in Reunion Island. To build the model, the different types of individual consumption and the available energy production in situ are described. Energy management is achieved through a large mixed integer linear programming system. The model allows the production to fit the consumption by minimizing losses. Numerical calculations have been performed in order to determine an optimal solution that minimizes the use of the battery energy storage system and also satisfies the comfort of the inhabitants. The use of fractional derivative is introduced in the battery storage model. Simulations show that this emerging technology may lead to a technical solution that meets the above requirements of battery energy use and consumer satisfaction. It is also shown that a most effective and efficient use of energy resources is required in order to achieve sustainable management of electrical energy.","PeriodicalId":205734,"journal":{"name":"Journal of Applied and Numerical Optimization","volume":"179 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132446860","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}
Pub Date : 1900-01-01DOI: 10.23952/jano.3.2021.1.06
{"title":"Minimum energy control problem for one class of singularly perturbed systems with input delay","authors":"","doi":"10.23952/jano.3.2021.1.06","DOIUrl":"https://doi.org/10.23952/jano.3.2021.1.06","url":null,"abstract":"","PeriodicalId":205734,"journal":{"name":"Journal of Applied and Numerical Optimization","volume":"148 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133063824","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}
Pub Date : 1900-01-01DOI: 10.23952/jano.3.2021.1.02
{"title":"Augmented Lagrangian – fast projected gradient algorithm with working set selection for training support vector machines","authors":"","doi":"10.23952/jano.3.2021.1.02","DOIUrl":"https://doi.org/10.23952/jano.3.2021.1.02","url":null,"abstract":"","PeriodicalId":205734,"journal":{"name":"Journal of Applied and Numerical Optimization","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130575373","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}
Pub Date : 1900-01-01DOI: 10.23952/jano.1.2019.3.10
M. Farid
In this paper, we introduce an iterative method based on hybrid methods and hybrid extragradient methods for finding a common solution of mixed equilibrium problems and fixed point problems of nonexpansive mappings in a real Hilbert space. We define the notion of generalized skew-symmetric bifunctions which is a natural extension of a skew-symmetric bifunctions. Further, we prove that the sequences generated by the proposed iterative scheme converge strongly to a common solution of these systems. The results presented in this paper are the supplements, extensions and generalizations of the previously known results in this area.
{"title":"The subgradient extragradient method for solving mixed equilibrium problems and fixed point problems in Hilbert spaces","authors":"M. Farid","doi":"10.23952/jano.1.2019.3.10","DOIUrl":"https://doi.org/10.23952/jano.1.2019.3.10","url":null,"abstract":"In this paper, we introduce an iterative method based on hybrid methods and hybrid extragradient methods for finding a common solution of mixed equilibrium problems and fixed point problems of nonexpansive mappings in a real Hilbert space. We define the notion of generalized skew-symmetric bifunctions which is a natural extension of a skew-symmetric bifunctions. Further, we prove that the sequences generated by the proposed iterative scheme converge strongly to a common solution of these systems. The results presented in this paper are the supplements, extensions and generalizations of the previously known results in this area.","PeriodicalId":205734,"journal":{"name":"Journal of Applied and Numerical Optimization","volume":"50 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131367608","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}
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