Optimal learning of bandlimited functions from localized sampling
type: Item
instance of: scholarly article
title: Optimal learning of bandlimited functions from localized sampling
zbMATH Open document ID: 1180.65182
author: Charles A. Micchelli
author: Yuesheng Xu
author: Haizhang Zhang
published in: Journal of Complexity
publication date: 2009-06-11T00:00:00Z
review text: The core of this compactly written paper deals with the problem of learning a function in translation-invariant reproducing kernel Hilbert spaces. The main application is in the last section of the paper: an optimal algorithm for approximating bandlimited functions from localized sampling is established. In the univariate case upper and lower bound estimates for the approximation error are given.
Mathematics Subject Classification ID: 94A20
Mathematics Subject Classification ID: 41A80
Mathematics Subject Classification ID: 65T40
Mathematics Subject Classification ID: 42B10
Mathematics Subject Classification ID: 65D20
zbMATH DE Number: 5564310
zbMATH Keywords: Whittaker-Shannon series
zbMATH Keywords: bandlimited signal
zbMATH Keywords: translation invariant kernel
zbMATH Keywords: optimal learning
zbMATH Keywords: error estimates
zbMATH Keywords: bandwidth problem
zbMATH Keywords: reproducing kernel Hilbert spaces
zbMATH Keywords: algorithm
zbMATH Keywords: localized sampling
reviewed by: Willy J. F. Govaerts
MaRDI profile type: Publication
full work available at URL: j.jco.2009.02.005
OpenAlex ID: W2078574322
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DOI: 10.1016/J.JCO.2009.02.005
description: scientific article; zbMATH DE number 5564310