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Pacific Journal of Optimization最新文献

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A gradient projection method for semi-supervised hypergraph clustering problems 半监督超图聚类问题的梯度投影方法
IF 0.2 4区 数学
Pacific Journal of Optimization Pub Date : 2023-06-20 DOI: 10.61208/pjo-2023-025
Jingya Chang, Dongdong Liu, Min Xi
{"title":"A gradient projection method for semi-supervised hypergraph clustering problems","authors":"Jingya Chang, Dongdong Liu, Min Xi","doi":"10.61208/pjo-2023-025","DOIUrl":"https://doi.org/10.61208/pjo-2023-025","url":null,"abstract":"Semi-supervised clustering problems focus on clustering data with labels. In this paper,we consider the semi-supervised hypergraph problems. We use the hypergraph related tensor to construct an orthogonal constrained optimization model. The optimization problem is solved by a retraction method, which employs the polar decomposition to map the gradient direction in the tangent space to the Stefiel manifold. A nonmonotone curvilinear search is implemented to guarantee reduction in the objective function value. Convergence analysis demonstrates that the first order optimality condition is satisfied at the accumulation point. Experiments on synthetic hypergraph and hypergraph given by real data demonstrate the effectivity of our method.","PeriodicalId":49716,"journal":{"name":"Pacific Journal of Optimization","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2023-06-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43706187","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}
引用次数: 0
Beyond Monotone Variational Inequalities: Solution Methods and Iteration Complexities 超越单调变分不等式:解方法和迭代复杂性
IF 0.2 4区 数学
Pacific Journal of Optimization Pub Date : 2023-04-09 DOI: 10.61208/pjo-2023-021
Kevin Huang, Shuzhong Zhang
{"title":"Beyond Monotone Variational Inequalities: Solution Methods and Iteration Complexities","authors":"Kevin Huang, Shuzhong Zhang","doi":"10.61208/pjo-2023-021","DOIUrl":"https://doi.org/10.61208/pjo-2023-021","url":null,"abstract":"In this paper, we discuss variational inequality (VI) problems without monotonicity from the perspective of convergence of projection-type algorithms. In particular, we identify existing conditions as well as present new conditions that are sufficient to guarantee convergence. The first half of the paper focuses on the case where a Minty solution exists (also known as Minty condition), which is a common assumption in the recent developments for non-monotone VI. The second half explores alternative sufficient conditions that are different from the existing ones such as monotonicity or Minty condition, using an algorithm-based approach. Through examples and convergence analysis, we show that these conditions are capable of characterizing different classes of VI problems where the algorithms are guaranteed to converge.","PeriodicalId":49716,"journal":{"name":"Pacific Journal of Optimization","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2023-04-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43116869","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}
引用次数: 2
A self-adaptive inertial viscosity projection algorithm for solving split feasibility problem with multiple output sets 求解多输出集分裂可行性问题的自适应惯性粘度投影算法
IF 0.2 4区 数学
Pacific Journal of Optimization Pub Date : 2023-01-01 DOI: 10.61208/pjo-2023-002
Y. Dang, Caihua Hou, Liu Yang
{"title":"A self-adaptive inertial viscosity projection algorithm for solving split feasibility problem with multiple output sets","authors":"Y. Dang, Caihua Hou, Liu Yang","doi":"10.61208/pjo-2023-002","DOIUrl":"https://doi.org/10.61208/pjo-2023-002","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":"71278518","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}
引用次数: 0
Long Abstract of Manuscript for Pacific Journal of Optimization 《太平洋最优化学报》论文长摘要
4区 数学
Pacific Journal of Optimization Pub Date : 2023-01-01 DOI: 10.61208/pjo-2023-031
WANG Fenlan
{"title":"Long Abstract of Manuscript for Pacific Journal of Optimization","authors":"WANG Fenlan","doi":"10.61208/pjo-2023-031","DOIUrl":"https://doi.org/10.61208/pjo-2023-031","url":null,"abstract":"","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":"135103266","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}
引用次数: 0
On the D-gap functions for variational-hemivariational inequalities with an application to contact mechanics 变分-半变分不等式的d -隙函数及其在接触力学中的应用
4区 数学
Pacific Journal of Optimization Pub Date : 2023-01-01 DOI: 10.61208/pjo-2023-033
Tam Vo Minh, Chen Jein-Shan
{"title":"On the D-gap functions for variational-hemivariational inequalities with an application to contact mechanics","authors":"Tam Vo Minh, Chen Jein-Shan","doi":"10.61208/pjo-2023-033","DOIUrl":"https://doi.org/10.61208/pjo-2023-033","url":null,"abstract":"","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":"135158585","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}
引用次数: 0
A Penalty-based Method for Solving a Discrete HJB Complementarity Problem 求解离散HJB互补问题的一种基于惩罚的方法
IF 0.2 4区 数学
Pacific Journal of Optimization Pub Date : 2023-01-01 DOI: 10.61208/pjo-2023-011
Zhang K., Yang X., W. S.
{"title":"A Penalty-based Method for Solving a Discrete HJB Complementarity Problem","authors":"Zhang K., Yang X., W. S.","doi":"10.61208/pjo-2023-011","DOIUrl":"https://doi.org/10.61208/pjo-2023-011","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":"71278671","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}
引用次数: 0
The hypertree with the second largest spectral radius among uniform hypertrees with given size and stability number 具有给定大小和稳定数的一致超树中光谱半径第二大的超树
IF 0.2 4区 数学
Pacific Journal of Optimization Pub Date : 2023-01-01 DOI: 10.61208/pjo-2023-018
SURFACESWei-ping Li, Honghai Li
{"title":"The hypertree with the second largest spectral radius among uniform hypertrees with given size and stability number","authors":"SURFACESWei-ping Li, Honghai Li","doi":"10.61208/pjo-2023-018","DOIUrl":"https://doi.org/10.61208/pjo-2023-018","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":"71278413","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}
引用次数: 0
Research on Optimality Conditions for SSOCCVI Problem ssocvi问题的最优性条件研究
IF 0.2 4区 数学
Pacific Journal of Optimization Pub Date : 2023-01-01 DOI: 10.61208/pjo-2023-005
Wang Li, Mengdi Zheng, Sun Juhe, Liu Hao
{"title":"Research on Optimality Conditions for SSOCCVI Problem","authors":"Wang Li, Mengdi Zheng, Sun Juhe, Liu Hao","doi":"10.61208/pjo-2023-005","DOIUrl":"https://doi.org/10.61208/pjo-2023-005","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":"71278585","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}
引用次数: 0
Mean-variance analysis of sustainable newsvendor problems with stochastic demand under cap-and-trade policy 限额与交易政策下具有随机需求的可持续报贩问题的均值-方差分析
4区 数学
Pacific Journal of Optimization Pub Date : 2023-01-01 DOI: 10.61208/pjo-2023-029
Bai Qingguo, Lu Hongling, Meng Fanwen
{"title":"Mean-variance analysis of sustainable newsvendor problems with stochastic demand under cap-and-trade policy","authors":"Bai Qingguo, Lu Hongling, Meng Fanwen","doi":"10.61208/pjo-2023-029","DOIUrl":"https://doi.org/10.61208/pjo-2023-029","url":null,"abstract":"","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":"136304480","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}
引用次数: 0
A new three-term conjugate gradient method with adaptively alternative two-side approximating strategy that generates descent search direction 一种新的三项共轭梯度法，采用自适应备选双侧逼近策略生成下降搜索方向
4区 数学
Pacific Journal of Optimization Pub Date : 2023-01-01 DOI: 10.61208/pjo-2023-028
Dong Xiaoliang, Han Deren
{"title":"A new three-term conjugate gradient method with adaptively alternative two-side approximating strategy that generates descent search direction","authors":"Dong Xiaoliang, Han Deren","doi":"10.61208/pjo-2023-028","DOIUrl":"https://doi.org/10.61208/pjo-2023-028","url":null,"abstract":"","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":"136306356","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}
引用次数: 0
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