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.accessRights | Open Access | - |
item.contributor | De Mulder, Wim | - |
item.contributor | MOLENBERGHS, Geert | - |
item.contributor | VERBEKE, Geert | - |
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 |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.