TY - JOUR
TI - Multivariate function approximation using sparse grids and high Dimensional Model Representation – a comparison
AU - Baran, Mateusz
TI - Multivariate function approximation using sparse grids and high Dimensional Model Representation – a comparison
AB - 
	In many areas of science and technology, there is a need for effective procedures for approximating multivariate functions. Sparse grids and cut-HDMR (High Dimensional Model Representation) are two alternative approaches to such multivariate approximations. It is therefore interesting to compare these two methods. Numerical experiments performed in this study indicate that the sparse grid approximation is more accurate than the cut-HDMR approximation that uses a comparable number of known values of the approximated function unless the approximated function can be expressed as a sum of high order polynomials of one or two variables.
VL - 2014
IS - Nauki Podstawowe Zeszyt 3 NP (17) 2014
PY - 2015
SN - 0011-4561
C1 - 2353-737X
SP - 97
EP - 107
DO - 10.4467/2353737XCT.14.318.3406
UR - https://ejournals.eu/czasopismo/czasopismo-techniczne/artykul/multivariate-function-approximation-using-sparse-grids-and-high-dimensional-model-representation-a-comparison
KW - Sparse Grids
KW - Approximation
KW - Numerical experiments
KW - Metamodelling
KW - Curse of dimensionality