TY - JOUR
T1 - The influence of the support functions on the quality of enhanced multivariance product representation
AU - Tunga, Burcu
AU - Demiralp, Metin
PY - 2010
Y1 - 2010
N2 - This paper presents recently developed Enhanced Multivariance Product Representation (EMPR) method for multivariate functions. EMPR disintegrates a multivariate function to components which are respectively constant, univariate, bivariate and so on in ascending multivariance. Although the EMPR method has the same philosophy with the High Dimensional Model Representation (HDMR) method, it has been proposed to get better quality than HDMR's with the help of the support functions. For this purpose, we investigate the EMPR truncation qualities with respect to the selection of the support functions. The obtained results and a number of numerical implementations to show the efficiency of the method are also given in this paper.
AB - This paper presents recently developed Enhanced Multivariance Product Representation (EMPR) method for multivariate functions. EMPR disintegrates a multivariate function to components which are respectively constant, univariate, bivariate and so on in ascending multivariance. Although the EMPR method has the same philosophy with the High Dimensional Model Representation (HDMR) method, it has been proposed to get better quality than HDMR's with the help of the support functions. For this purpose, we investigate the EMPR truncation qualities with respect to the selection of the support functions. The obtained results and a number of numerical implementations to show the efficiency of the method are also given in this paper.
KW - Approximation
KW - High dimensional model representation
KW - Multivariate functions
UR - http://www.scopus.com/inward/record.url?scp=77956437345&partnerID=8YFLogxK
U2 - 10.1007/s10910-010-9714-2
DO - 10.1007/s10910-010-9714-2
M3 - Article
AN - SCOPUS:77956437345
SN - 0259-9791
VL - 48
SP - 827
EP - 840
JO - Journal of Mathematical Chemistry
JF - Journal of Mathematical Chemistry
IS - 3
ER -