A factorized high dimensional model representation on the nodes of a finite hyperprismatic regular grid

Yükleniyor...
Küçük Resim

Tarih

2005-05-25

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Elsevier Science inc

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Araştırma projeleri

Organizasyon Birimleri

Dergi sayısı

Özet

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.

Açıklama

Anahtar Kelimeler

High dimensional model representation, Multivariate functions, Interpolation, Multidimensional problems, Approximation, Functions, Representations, Dimensional model, Approximation theory, Data acquisition, Mathematical models, Problem solving, Factorized high dimensional model representation (FHDMR), High dimensional model representation (HDMR), Multi-dimensional problems

Kaynak

Applied Mathematics and Computation

WoS Q Değeri

Q1

Scopus Q Değeri

Q1

Cilt

164

Sayı

3

Künye

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