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Optimal learning of bandlimited functions from localized sampling

文献类型：期刊论文

作者Micchelli, Charles A.2; Xu, Yuesheng1; Zhang, Haizhang3
刊名JOURNAL OF COMPLEXITY
出版日期2009-04-01
卷号25期号:2页码:85-114
关键词Whittaker-Shannon series Bandlimited signals Optimal algorithms Error estimates Translation invariant kernels The bandwidth problem
ISSN号0885-064X
DOI10.1016/j.jco.2009.02.005
英文摘要An optimal algorithm for approximating bandlimited functions from localized sampling is established. Several equivalent formulations for the approximation error of the optimal algorithm are presented and its upper and lower bound estimates for the univariate case are provided. The estimates show that the approximation error decays exponentially (but not faster) as the number of localized samplings increases. As a consequence of these results, we obtain an upper bound estimate for the eigenvalues of an integral operator that arises in the bandwidth problem. (C) 2009 Elsevier Inc. All rights reserved.
资助项目US National Science Foundation[DMS-0712827] ; US National Science Foundation[CCR-0407476] ; Natural Science Foundation of China[10371122] ; Natural Science Foundation of China[10631080] ; Education Ministry of the People's Republic of China through Sun Yat-sen University
WOS研究方向Computer Science ; Mathematics
语种英语
WOS记录号WOS:000265303600001
出版者ACADEMIC PRESS INC ELSEVIER SCIENCE
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/7636]  
专题中国科学院数学与系统科学研究院
通讯作者Xu, Yuesheng
作者单位1.Syracuse Univ, Dept Math, Syracuse, NY 13244 USA
2.SUNY Albany, Dept Math & Stat, Albany, NY 12222 USA
3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100190, Peoples R China
推荐引用方式
GB/T 7714		 Micchelli, Charles A.,Xu, Yuesheng,Zhang, Haizhang. Optimal learning of bandlimited functions from localized sampling[J]. JOURNAL OF COMPLEXITY,2009,25(2):85-114.
APA Micchelli, Charles A.,Xu, Yuesheng,&Zhang, Haizhang.(2009).Optimal learning of bandlimited functions from localized sampling.JOURNAL OF COMPLEXITY,25(2),85-114.
MLA Micchelli, Charles A.,et al."Optimal learning of bandlimited functions from localized sampling".JOURNAL OF COMPLEXITY 25.2(2009):85-114.

入库方式： OAI收割

来源：数学与系统科学研究院

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