A factorized high dimensional model representation on the nodes of a finite hyperprismatic regular grid
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Dosyalar
Tarih
2005-05-25
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Elsevier Science inc
Erişim Hakkı
info:eu-repo/semantics/closedAccess
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
