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Domain Generalization by Functional Regression 通过函数回归实现领域泛化
IF 1.2 4区 数学
Numerical Functional Analysis and Optimization Pub Date : 2024-03-04 DOI: 10.1080/01630563.2024.2320663
Markus Holzleitner, Sergei V. Pereverzyev, Werner Zellinger
{"title":"Domain Generalization by Functional Regression","authors":"Markus Holzleitner, Sergei V. Pereverzyev, Werner Zellinger","doi":"10.1080/01630563.2024.2320663","DOIUrl":"https://doi.org/10.1080/01630563.2024.2320663","url":null,"abstract":"The problem of domain generalization is to learn, given data from different source distributions, a model that can be expected to generalize well on new target distributions which are only seen thr...","PeriodicalId":54707,"journal":{"name":"Numerical Functional Analysis and Optimization","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2024-03-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140033909","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
Rates of Convergence and Metastability for Chidume’s Algorithm for the Approximation of Zeros of Accretive Operators in Banach Spaces 巴拿赫空间中可变算子零点逼近奇杜梅算法的收敛率和可转移性
IF 1.2 4区 数学
Numerical Functional Analysis and Optimization Pub Date : 2024-02-28 DOI: 10.1080/01630563.2024.2318597
Richard Findling, Ulrich Kohlenbach
{"title":"Rates of Convergence and Metastability for Chidume’s Algorithm for the Approximation of Zeros of Accretive Operators in Banach Spaces","authors":"Richard Findling, Ulrich Kohlenbach","doi":"10.1080/01630563.2024.2318597","DOIUrl":"https://doi.org/10.1080/01630563.2024.2318597","url":null,"abstract":"In this paper we give a quantitative analysis of an explicit iteration method due to C.E. Chidume for the approximation of a zero of an m-accretive operator A:X→2X in Banach spaces which does not i...","PeriodicalId":54707,"journal":{"name":"Numerical Functional Analysis and Optimization","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2024-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140005088","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
Regularized Nyström Subsampling in Covariate Shift Domain Adaptation Problems 变量偏移域适应问题中的正则化尼斯特伦子采样
IF 1.2 4区 数学
Numerical Functional Analysis and Optimization Pub Date : 2024-02-23 DOI: 10.1080/01630563.2024.2318572
Hanna L. Myleiko, Sergei G. Solodky
{"title":"Regularized Nyström Subsampling in Covariate Shift Domain Adaptation Problems","authors":"Hanna L. Myleiko, Sergei G. Solodky","doi":"10.1080/01630563.2024.2318572","DOIUrl":"https://doi.org/10.1080/01630563.2024.2318572","url":null,"abstract":"The unsupervised domain adaptation problem with covariate shift assumption is considered. Within the framework of the Reproducing Kernel Hilbert Space concept, an algorithm is constructed that is a...","PeriodicalId":54707,"journal":{"name":"Numerical Functional Analysis and Optimization","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2024-02-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139949651","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
Quadratic Neural Networks for Solving Inverse Problems 用于解决逆问题的二次元神经网络
IF 1.2 4区 数学
Numerical Functional Analysis and Optimization Pub Date : 2024-02-22 DOI: 10.1080/01630563.2024.2316580
Leon Frischauf, Otmar Scherzer, Cong Shi
{"title":"Quadratic Neural Networks for Solving Inverse Problems","authors":"Leon Frischauf, Otmar Scherzer, Cong Shi","doi":"10.1080/01630563.2024.2316580","DOIUrl":"https://doi.org/10.1080/01630563.2024.2316580","url":null,"abstract":"In this paper we investigate the solution of inverse problems with neural network ansatz functions with generalized decision functions. The relevant observation for this work is that such functions...","PeriodicalId":54707,"journal":{"name":"Numerical Functional Analysis and Optimization","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2024-02-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139949650","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
G-phase retrievable frames 可检索的 G 相帧
IF 1.2 4区 数学
Numerical Functional Analysis and Optimization Pub Date : 2024-02-22 DOI: 10.1080/01630563.2024.2318577
Maryam Jafarizadeh, Mohammad Ali Hasankhani Fard
{"title":"G-phase retrievable frames","authors":"Maryam Jafarizadeh, Mohammad Ali Hasankhani Fard","doi":"10.1080/01630563.2024.2318577","DOIUrl":"https://doi.org/10.1080/01630563.2024.2318577","url":null,"abstract":"In this paper we introduce generalized phase retrievable frames or simply g-phase retrievable frames in real or complex n-dimensional Hilbert space Hn, which include ordinary phase retrievable fram...","PeriodicalId":54707,"journal":{"name":"Numerical Functional Analysis and Optimization","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2024-02-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140004980","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 Source Identification Problem in a Bi-parabolic Equation: Convergence Rates and Some Optimal Results 双抛物方程中的源识别问题：收敛速率和一些最佳结果
IF 1.2 4区 数学
Numerical Functional Analysis and Optimization Pub Date : 2024-02-21 DOI: 10.1080/01630563.2024.2318586
Subhankar Mondal, M. Thamban Nair
{"title":"A Source Identification Problem in a Bi-parabolic Equation: Convergence Rates and Some Optimal Results","authors":"Subhankar Mondal, M. Thamban Nair","doi":"10.1080/01630563.2024.2318586","DOIUrl":"https://doi.org/10.1080/01630563.2024.2318586","url":null,"abstract":"This paper is concerned with identification of a spatial source function from final time observation in a bi-parabolic equation, where the full source function is assumed to be a product of time de...","PeriodicalId":54707,"journal":{"name":"Numerical Functional Analysis and Optimization","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2024-02-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139924407","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
Properties of Positive Linear Operators Connected with Squared Fundamental Functions 与平方基本函数相关的正线性算子的性质
IF 1.2 4区 数学
Numerical Functional Analysis and Optimization Pub Date : 2024-02-21 DOI: 10.1080/01630563.2024.2316579
Octavian Agratini
{"title":"Properties of Positive Linear Operators Connected with Squared Fundamental Functions","authors":"Octavian Agratini","doi":"10.1080/01630563.2024.2316579","DOIUrl":"https://doi.org/10.1080/01630563.2024.2316579","url":null,"abstract":"The aim of this article is to present a general class of positive linear operators of discrete type related to squared fundamental basis functions. If these operators are expressed by a series, we ...","PeriodicalId":54707,"journal":{"name":"Numerical Functional Analysis and Optimization","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2024-02-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139924453","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
Random Sampling of Mellin Band-Limited Signals 梅林带限制信号的随机取样
IF 1.2 4区 数学
Numerical Functional Analysis and Optimization Pub Date : 2024-02-21 DOI: 10.1080/01630563.2024.2318576
Shivam Bajpeyi, Dhiraj Patel, S. Sivananthan
{"title":"Random Sampling of Mellin Band-Limited Signals","authors":"Shivam Bajpeyi, Dhiraj Patel, S. Sivananthan","doi":"10.1080/01630563.2024.2318576","DOIUrl":"https://doi.org/10.1080/01630563.2024.2318576","url":null,"abstract":"In this paper, we address the random sampling problem for the class of functions in the space of Mellin band-limited functions BT, which are concentrated on a bounded cube. It is established that a...","PeriodicalId":54707,"journal":{"name":"Numerical Functional Analysis and Optimization","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2024-02-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139924325","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
CUR and Generalized CUR Decompositions of Quaternion Matrices and their Applications 四元数矩阵的 CUR 和广义 CUR 分解及其应用
IF 1.2 4区 数学
Numerical Functional Analysis and Optimization Pub Date : 2024-02-21 DOI: 10.1080/01630563.2024.2318602
Renjie Xu, Shenghao Feng, Yimin Wei, Hong Yan
{"title":"CUR and Generalized CUR Decompositions of Quaternion Matrices and their Applications","authors":"Renjie Xu, Shenghao Feng, Yimin Wei, Hong Yan","doi":"10.1080/01630563.2024.2318602","DOIUrl":"https://doi.org/10.1080/01630563.2024.2318602","url":null,"abstract":"Low-rank approximations of quaternion matrices have garnered interest across various applications, such as color images and signal processing. In this paper, we propose the CUR and generalized CUR ...","PeriodicalId":54707,"journal":{"name":"Numerical Functional Analysis and Optimization","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2024-02-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139924311","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
Algebras of Calderón-Zygmund Operators on RD Spaces RD 空间上的 Calderón-Zygmund 算子代数
IF 1.2 4区 数学
Numerical Functional Analysis and Optimization Pub Date : 2024-02-07 DOI: 10.1080/01630563.2024.2305346
Dandan Wang, Qiquan Fang, Xiangxing Tao, Taotao Zheng
{"title":"Algebras of Calderón-Zygmund Operators on RD Spaces","authors":"Dandan Wang, Qiquan Fang, Xiangxing Tao, Taotao Zheng","doi":"10.1080/01630563.2024.2305346","DOIUrl":"https://doi.org/10.1080/01630563.2024.2305346","url":null,"abstract":"In this paper, by establishing the boundedness of Calderón-Zygmund operators on test functions over RD spaces, and applying the discrete Calderón type reproducing formula, the authors obtain the al...","PeriodicalId":54707,"journal":{"name":"Numerical Functional Analysis and Optimization","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2024-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139753711","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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