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On the Hemispherical Transform in the Half-Space and Related Radon Transforms 关于半空间中的半球变换及相关的Radon变换
IF 2.2 2区 数学
Analysis and Applications Pub Date : 2023-05-19 DOI: 10.1142/s0219530523500082
B. Rubin
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引用次数: 0
Optimal Temporal Decay Rates for the Compressible Viscoelastic Flows 可压缩粘弹性流的最佳时间衰减率
IF 2.2 2区 数学
Analysis and Applications Pub Date : 2023-04-28 DOI: 10.1142/s0219530523500070
Shengbin Fu, Wenting Huang, Weiwei Wang
{"title":"Optimal Temporal Decay Rates for the Compressible Viscoelastic Flows","authors":"Shengbin Fu, Wenting Huang, Weiwei Wang","doi":"10.1142/s0219530523500070","DOIUrl":"https://doi.org/10.1142/s0219530523500070","url":null,"abstract":"","PeriodicalId":55519,"journal":{"name":"Analysis and Applications","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2023-04-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41360740","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Optimal control of a reaction-diffusion model related to the spread of COVID-19 与新冠肺炎传播相关的反应扩散模型的最优控制
IF 2.2 2区 数学
Analysis and Applications Pub Date : 2023-04-21 DOI: 10.1142/s0219530523500197
P. Colli, G. Gilardi, G. Marinoschi, E. Rocca
{"title":"Optimal control of a reaction-diffusion model related to the spread of COVID-19","authors":"P. Colli, G. Gilardi, G. Marinoschi, E. Rocca","doi":"10.1142/s0219530523500197","DOIUrl":"https://doi.org/10.1142/s0219530523500197","url":null,"abstract":"This paper is concerned with the well-posedness and optimal control problem of a reaction-diffusion system for an epidemic Susceptible-Infected-Recovered-Susceptible (SIRS) mathematical model in which the dynamics develops in a spatially heterogeneous environment. Using as control variables the transmission rates $u_{i}$ and $u_{e}$ of contagion resulting from the contact with both asymptomatic and symptomatic persons, respectively, we optimize the number of exposed and infected individuals at a final time $T$ of the controlled evolution of the system. More precisely, we search for the optimal $u_{i}$ and $u_{e}$ such that the number of infected plus exposed does not exceed at the final time a threshold value $Lambda$, fixed a priori. We prove here the existence of optimal controls in a proper functional framework and we derive the first-order necessary optimality conditions in terms of the adjoint variables.","PeriodicalId":55519,"journal":{"name":"Analysis and Applications","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2023-04-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46527749","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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: 1
Double phase implicit obstacle problems with convection term and multivalued operator 具有对流项和多值算子的双相隐式障碍问题
IF 2.2 2区 数学
Analysis and Applications Pub Date : 2023-01-13 DOI: 10.1142/s0219530523500033
Shengda Zeng, Yunru Bai, Nikolaos S. Papageorgiou, Vicentiu D. Rădulescu
{"title":"Double phase implicit obstacle problems with convection term and multivalued operator","authors":"Shengda Zeng, Yunru Bai, Nikolaos S. Papageorgiou, Vicentiu D. Rădulescu","doi":"10.1142/s0219530523500033","DOIUrl":"https://doi.org/10.1142/s0219530523500033","url":null,"abstract":"","PeriodicalId":55519,"journal":{"name":"Analysis and Applications","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2023-01-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44755171","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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: 1
Stability and Generalization of Graph Convolutional Networks in Eigen-domains 图卷积网络在特征域中的稳定性与推广
IF 2.2 2区 数学
Analysis and Applications Pub Date : 2023-01-13 DOI: 10.1142/s0219530523500021
Michael K. Ng, A. Yip
{"title":"Stability and Generalization of Graph Convolutional Networks in Eigen-domains","authors":"Michael K. Ng, A. Yip","doi":"10.1142/s0219530523500021","DOIUrl":"https://doi.org/10.1142/s0219530523500021","url":null,"abstract":"","PeriodicalId":55519,"journal":{"name":"Analysis and Applications","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2023-01-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45064452","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Approximating functions with multi-features by deep convolutional neural networks 利用深度卷积神经网络逼近多特征函数
IF 2.2 2区 数学
Analysis and Applications Pub Date : 2022-11-26 DOI: 10.1142/s0219530522400085
Tong Mao, Zhongjie Shi, Ding-Xuan Zhou
{"title":"Approximating functions with multi-features by deep convolutional neural networks","authors":"Tong Mao, Zhongjie Shi, Ding-Xuan Zhou","doi":"10.1142/s0219530522400085","DOIUrl":"https://doi.org/10.1142/s0219530522400085","url":null,"abstract":"Deep convolutional neural networks (DCNNs) have achieved great empirical success in many fields such as natural language processing, computer vision, and pattern recognition. But there still lacks theoretical understanding of the flexibility and adaptivity of DCNNs in various learning tasks, and the power of DCNNs at feature extraction. We propose a generic DCNN structure consisting of two groups of convolutional layers associated with two downsampling operators, and a fully connected layer, which is determined only by three structural parameters. Our generic DCNNs are capable of extracting various features including not only polynomial features but also general smooth features. We also show that the curse of dimensionality can be circumvented by our DCNNs for target functions of the compositional form with (symmetric) polynomial features, spatially sparse smooth features, and interaction features. These demonstrate the expressive power of our DCNN structure, while the model selection can be relaxed comparing with other deep neural networks since there are only three hyperparameters controlling the architecture to tune.","PeriodicalId":55519,"journal":{"name":"Analysis and Applications","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2022-11-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45605324","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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: 3
Block coordinate type methods for optimization and learning 用于优化和学习的块坐标型方法
IF 2.2 2区 数学
Analysis and Applications Pub Date : 2022-11-25 DOI: 10.1142/s021953052250018x
Zhan Yu
{"title":"Block coordinate type methods for optimization and learning","authors":"Zhan Yu","doi":"10.1142/s021953052250018x","DOIUrl":"https://doi.org/10.1142/s021953052250018x","url":null,"abstract":"","PeriodicalId":55519,"journal":{"name":"Analysis and Applications","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2022-11-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45806669","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Implicit regularization with strongly convex bias: stability and acceleration 具有强凸偏差的隐式正则化：稳定性和加速性
IF 2.2 2区 数学
Analysis and Applications Pub Date : 2022-11-18 DOI: 10.1142/s0219530522400139
S. Villa, Simon Matet, B. Vu, L. Rosasco
{"title":"Implicit regularization with strongly convex bias: stability and acceleration","authors":"S. Villa, Simon Matet, B. Vu, L. Rosasco","doi":"10.1142/s0219530522400139","DOIUrl":"https://doi.org/10.1142/s0219530522400139","url":null,"abstract":"","PeriodicalId":55519,"journal":{"name":"Analysis and Applications","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2022-11-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44292836","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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: 1
Iteratively Consistent One-Bit Phase Retrieval 迭代一致的一位相位检索
IF 2.2 2区 数学
Analysis and Applications Pub Date : 2022-11-18 DOI: 10.1142/s0219530522400127
Dylan Domel-White, A. Powell
{"title":"Iteratively Consistent One-Bit Phase Retrieval","authors":"Dylan Domel-White, A. Powell","doi":"10.1142/s0219530522400127","DOIUrl":"https://doi.org/10.1142/s0219530522400127","url":null,"abstract":"","PeriodicalId":55519,"journal":{"name":"Analysis and Applications","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2022-11-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41783163","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Three Matrix Factorizations from the Steps of Elimination 从消去步骤出发的三种矩阵分解
IF 2.2 2区 数学
Analysis and Applications Pub Date : 2022-09-08 DOI: 10.1142/s0219530522400061
G. Strang, D. Drucker
{"title":"Three Matrix Factorizations from the Steps of Elimination","authors":"G. Strang, D. Drucker","doi":"10.1142/s0219530522400061","DOIUrl":"https://doi.org/10.1142/s0219530522400061","url":null,"abstract":"","PeriodicalId":55519,"journal":{"name":"Analysis and Applications","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2022-09-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42421554","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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: 4
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