dc.contributor.author Tunga, Mehmet Alper en_US dc.contributor.author Demiralp, Metin en_US dc.date.accessioned 2015-01-15T23:00:20Z dc.date.available 2015-01-15T23:00:20Z dc.date.issued 2005-05-25 dc.identifier.citation Tunga, M. A., & Demiralp, M. (2005). A factorized high dimensional model representation on the nodes of a finite hyperprismatic regular grid. Applied Mathematics and Computation, 164(3), 865-883. doi:10.1016/j.amc.2004.06.056 en_US dc.identifier.issn 0096-3003 dc.identifier.issn 1873-5649 dc.identifier.other WOS:000228871500018 dc.identifier.uri https://hdl.handle.net/11729/181 dc.identifier.uri http://dx.doi.org/10.1016/j.amc.2004.06.056 dc.description.abstract When the values of a multivariate function f(x(1),...,x(N)), having N independent variables like x(1),...,x(N) are given at the nodes of a cartesian, product set in the space of the independent variables and ail interpolation problem is defined to find out the analytical structure of this function some difficulties arise in the standard methods due to the multidimensionality of the problem. Here, the main purpose is to partition this multivariate data into low-variate data and to obtain the analytical structure of the multivariate function by using this partitioned data. High dimensional model representation (HDMR) is used for these types of problems. However, if HDMR requires all components, which means 2(N) number of components, to get a desired accuracy then factorized high dimensional model representation (FHDMR) can be used. This method uses the components of HDMR. This representation is needed when the sought multivariate function has a multiplicative nature. In this work we introduce how to utilize FHDMR for these problems and present illustrative examples. en_US dc.language.iso eng en_US dc.publisher Elsevier Science inc en_US dc.relation.isversionof 10.1016/j.amc.2004.06.056 dc.rights info:eu-repo/semantics/closedAccess en_US dc.subject High dimensional model representation en_US dc.subject Multivariate functions en_US dc.subject Interpolation en_US dc.subject Multidimensional problems en_US dc.subject Approximation en_US dc.subject Functions en_US dc.subject Representations en_US dc.subject Dimensional model en_US dc.subject Approximation theory en_US dc.subject Data acquisition en_US dc.subject Mathematical models en_US dc.subject Problem solving en_US dc.subject Factorized high dimensional model representation (FHDMR) en_US dc.subject High dimensional model representation (HDMR) en_US dc.subject Multi-dimensional problems en_US dc.title A factorized high dimensional model representation on the nodes of a finite hyperprismatic regular grid en_US dc.type article en_US dc.description.version Publisher's Version en_US dc.relation.journal Applied Mathematics and Computation en_US dc.contributor.department Işık Üniversitesi, Mühendislik Fakültesi, Bilgisayar Mühendisliği Bölümü en_US dc.contributor.department Işık University, Faculty of Engineering, Department of Computer Engineering en_US dc.contributor.authorID 0000-0003-3551-4549 dc.identifier.volume 164 dc.identifier.issue 3 dc.identifier.startpage 865 dc.identifier.endpage 883 dc.peerreviewed Yes en_US dc.publicationstatus Published en_US dc.relation.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US dc.contributor.institutionauthor Tunga, Mehmet Alper en_US
﻿