High dimensional model representation (HDMR) under nonproduct type weight

Abstract

This work aims to use a multivariate weight function which is nonproduct type in High Dimensional Model Representation. When we have dealt with this type of HDMR, we have observed that HDMR can be constructed by using the product of univariate functions each of which is obtained from the nonproduct weight function via its multivariate integration over all independent variables\\ except a single and different one of those independent variables. Certain results for general multivariate case are given in this paper.