Multiscale data sampling and function extension
type: Item
instance of: scholarly article
title: Multiscale data sampling and function extension
zbMATH Open document ID: 1262.65016
author: Amit Bermanis
author: Ronald R. Coifman
author: Amir Averbuch
published in: Applied and Computational Harmonic Analysis
publication date: 2012-11-23T00:00:00Z
full work available at URL: http://citeseerx.ist.psu.edu/viewdoc/summary
review text: The authors introduce a multiscale scheme for sampling scattered data which overcomes some limitations of the Nyström interpolation method. The multiscale extension uses coarse-to-fine hierarchy of the multiscale decomposition of a Gaussian kernel. It is proved that the numerical rank of a Gaussian kenel is proportional to the volume of the data.
reviewed by: Rózsa Horváth-Bokor
Mathematics Subject Classification ID: 65C60
Mathematics Subject Classification ID: 62D05
Mathematics Subject Classification ID: 65D05
zbMATH DE Number: 6110198
zbMATH Keywords: Gaussian kernel
zbMATH Keywords: diffusion maps
zbMATH Keywords: geometric harmonics
zbMATH Keywords: multiscale scheme
zbMATH Keywords: sampling scattered data
zbMATH Keywords: Nyström interpolation method
zbMATH Keywords: multiscale decomposition
zbMATH Keywords: numerical rank
MaRDI profile type: Publication
OpenAlex ID: W2002639489
DOI: 10.1016/J.ACHA.2012.03.002
description: scientific article; zbMATH DE number 6110198