Fluctuation free multivariate integration based logarithmic HDMR in multivariate function representation

DOI10.1007/s10910-010-9786-zzbMath1301.41022OpenAlexW2024210698MaRDI QIDQ535318

Metin Demiralp, Burcu Tunga

Publication date: 11 May 2011

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10910-010-9786-z

zbMATH Keywords

approximationmultivariate functionshigh dimensional model representation

Mathematics Subject Classification ID

Multidimensional problems (41A63) Approximate quadratures (41A55)

Related Items (4)

A novel piecewise multivariate function approximation method via universal matrix representation ⋮ Hybrid HDMR method with an optimized hybridity parameter in multivariate function representation ⋮ Probabilistic evolution approach to the expectation value dynamics of quantum mechanical operators. II: The use of mathematical fluctuation theory ⋮ A self-consistent high dimensional modelling based decomposition approach for univariate linear integral operators: tridiagonal kernel enhanced multivariance products representation (TKEMPR)

Uses Software

• MuPAD
• GUI-HDMR

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Survey of modeling and optimization strategies to solve high-dimensional design problems with computationally-expensive black-box functions
• A factorized high dimensional model representation on the nodes of a finite hyperprismatic regular grid
• The influence of the support functions on the quality of enhanced multivariance product representation
• Hybrid high dimensional model representation for reliability analysis
• Constancy maximization based weight optimization in high dimensional model representation
• General foundations of high-dimensional model representations
• Solutions to linear matrix ordinary differential equations via minimal, regular, and excessive space extension based universalization. Perturbative matrix splines, convergence and error estimate issues for polynomial coefficients in the homogeneous case
• Solutions to linear matrix ordinary differential equations via minimal, regular, and excessive space extension based universalization. Convergence and error estimates for truncation approximants in the homogeneous case with premultiplying polynomial coefficient matrix
• Model independent parametric decision making
• Probabilistic Analysis Using High Dimensional Model Representation and Fast Fourier Transform
• A Factorized High Dimensional Model Representation on the Partitioned Random Discrete Data
• Efficient implementation of high dimensional model representations

This page was built for publication: Fluctuation free multivariate integration based logarithmic HDMR in multivariate function representation