{"title":"On Lagrangian Duality for Multiparametric Programs","authors":"Leverenz J., L. H., Wiecek M.M.","doi":"10.61208/pjo-2023-007","DOIUrl":"https://doi.org/10.61208/pjo-2023-007","url":null,"abstract":"","PeriodicalId":49716,"journal":{"name":"Pacific Journal of Optimization","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71278711","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A nonmonotone Levenberg-Marquardt method with correction for solving systems of nonlinear equations","authors":"Huang B., M. C.","doi":"10.61208/pjo-2023-026","DOIUrl":"https://doi.org/10.61208/pjo-2023-026","url":null,"abstract":"","PeriodicalId":49716,"journal":{"name":"Pacific Journal of Optimization","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71279182","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The proximal gradient descent method, well-known for composite optimization, can be completely described by the concept of proximal gradient mapping. In this paper, we highlight our previous two discoveries of proximal gradient mapping--norm monotonicity and refined descent, with which we are able to extend the recently proposed potential function-based framework from gradient descent to proximal gradient descent.
{"title":"On proximal gradient mapping and its minimization in norm via potential function-based acceleration","authors":"Chen Beier, Zhang Hui","doi":"10.61208/pjo-2023-035","DOIUrl":"https://doi.org/10.61208/pjo-2023-035","url":null,"abstract":"The proximal gradient descent method, well-known for composite optimization, can be completely described by the concept of proximal gradient mapping. In this paper, we highlight our previous two discoveries of proximal gradient mapping--norm monotonicity and refined descent, with which we are able to extend the recently proposed potential function-based framework from gradient descent to proximal gradient descent.","PeriodicalId":49716,"journal":{"name":"Pacific Journal of Optimization","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135447025","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Splitting Method for Support Vector Machine with Lower Semi-continuous Loss","authors":"Mo Minyu, Ye Qi","doi":"10.61208/pjo-2023-013","DOIUrl":"https://doi.org/10.61208/pjo-2023-013","url":null,"abstract":"","PeriodicalId":49716,"journal":{"name":"Pacific Journal of Optimization","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71278267","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"D-gap functions and error bounds for vector equilibrium problems","authors":"Charitha C.","doi":"10.61208/pjo-2023-014","DOIUrl":"https://doi.org/10.61208/pjo-2023-014","url":null,"abstract":"","PeriodicalId":49716,"journal":{"name":"Pacific Journal of Optimization","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71278318","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"An Updated OT-PCF Algorithm for One-class Classification of Tensor Datasets","authors":"","doi":"10.61208/pjo-2023-001","DOIUrl":"https://doi.org/10.61208/pjo-2023-001","url":null,"abstract":"","PeriodicalId":49716,"journal":{"name":"Pacific Journal of Optimization","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71278505","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Unconstrained Nonsmooth Nonconvex Optimization based on CN Function","authors":"Jiang Min, Z. Meng, C. Dang, Shen Rui","doi":"10.61208/pjo-2023-020","DOIUrl":"https://doi.org/10.61208/pjo-2023-020","url":null,"abstract":"","PeriodicalId":49716,"journal":{"name":"Pacific Journal of Optimization","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71278529","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Some Global Optimization Strategies of Feasible Trust-Region Method for Extreme Z-Eigenvalues of Symmetric Tensors","authors":"L. Xiao, C. Hao, Junyu Gao, Zuping Li","doi":"10.61208/pjo-2023-024","DOIUrl":"https://doi.org/10.61208/pjo-2023-024","url":null,"abstract":"","PeriodicalId":49716,"journal":{"name":"Pacific Journal of Optimization","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71279035","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"The Box Convolution and the Dilworth Truncation of Bisubmodular Functions","authors":"Fujishige Satoru, Patkar Sachin B.","doi":"10.61208/pjo-2023-019","DOIUrl":"https://doi.org/10.61208/pjo-2023-019","url":null,"abstract":"","PeriodicalId":49716,"journal":{"name":"Pacific Journal of Optimization","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71278465","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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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