Please use this identifier to cite or link to this item:
http://hdl.handle.net/1942/26266
Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | De Mulder, Wim | - |
dc.contributor.author | MOLENBERGHS, Geert | - |
dc.contributor.author | VERBEKE, Geert | - |
dc.date.accessioned | 2018-06-29T11:57:05Z | - |
dc.date.available | 2018-06-29T11:57:05Z | - |
dc.date.issued | 2018 | - |
dc.identifier.citation | LINEAR & MULTILINEAR ALGEBRA, 66(5), p. 1054-1066 | - |
dc.identifier.issn | 0308-1087 | - |
dc.identifier.uri | http://hdl.handle.net/1942/26266 | - |
dc.description.abstract | In this paper, we show the relationship between two seemingly unrelated approximation techniques. On the one hand, a certain class of Gaussian process-based interpolation methods, and on the other hand inverse distance weighting, which has been developed in the context of spatial analysis where there is often a need for interpolating from irregularly spaced data to produce a continuous surface. We develop a generalization of inverse distance weighting and show that it is equivalent to the approximation provided by the class of Gaussian process-based interpolation methods. The equivalence is established via an elegant application of Riesz representation theorem concerning the dual of a Hilbert space. It is thus demonstrated how a classical theorem in linear algebra connects two disparate domains. | - |
dc.description.sponsorship | KU Leuvenunded Geconcerteerde Onderzoeksacties (GOA) project 'New approaches to the social dynamics of long-term fertility change' [grant number 2014-2018; GOA/14/001]. | - |
dc.language.iso | en | - |
dc.subject.other | Riesz representation theorem; Gaussian process; inverse distance weighting; interpolation; kriging | - |
dc.title | A generalization of inverse distance weighting and an equivalence relationship to noise-free Gaussian process interpolation via Riesz representation theorem | - |
dc.type | Journal Contribution | - |
dc.identifier.epage | 1066 | - |
dc.identifier.issue | 5 | - |
dc.identifier.spage | 1054 | - |
dc.identifier.volume | 66 | - |
local.bibliographicCitation.jcat | A1 | - |
dc.description.notes | De Mulder, W (reprint author), Katholieke Univ Leuven, BioStat 1, Leuven, Belgium, wim.demulder@cs.kuleuven.be | - |
local.type.refereed | Refereed | - |
local.type.specified | Article | - |
dc.identifier.doi | 10.1080/03081087.2017.1337057 | - |
dc.identifier.isi | 000427736600015 | - |
item.fulltext | With Fulltext | - |
item.contributor | De Mulder, Wim | - |
item.contributor | MOLENBERGHS, Geert | - |
item.contributor | VERBEKE, Geert | - |
item.accessRights | Open Access | - |
item.fullcitation | De Mulder, Wim; MOLENBERGHS, Geert & VERBEKE, Geert (2018) A generalization of inverse distance weighting and an equivalence relationship to noise-free Gaussian process interpolation via Riesz representation theorem. In: LINEAR & MULTILINEAR ALGEBRA, 66(5), p. 1054-1066. | - |
item.validation | ecoom 2019 | - |
crisitem.journal.issn | 0308-1087 | - |
crisitem.journal.eissn | 1563-5139 | - |
Appears in Collections: | Research publications |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
10.1080@03081087.2017.1337057.pdf Restricted Access | Published version | 1.29 MB | Adobe PDF | View/Open Request a copy |
paper_LinearAlgebra_revision.pdf | Peer-reviewed author version | 277.59 kB | Adobe PDF | View/Open |
SCOPUSTM
Citations
1
checked on Sep 2, 2020
WEB OF SCIENCETM
Citations
3
checked on Apr 22, 2024
Page view(s)
62
checked on Sep 7, 2022
Download(s)
130
checked on Sep 7, 2022
Google ScholarTM
Check
Altmetric
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.