Hybrid HDMR method with an optimized hybridity parameter in multivariate function representation

DOI10.1007/S10910-012-0026-6zbMath1310.41026OpenAlexW2051266302MaRDI QIDQ1930496

Burcu Tunga, Metin Demiralp

Publication date: 11 January 2013

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

Full work available at URL: https://doi.org/10.1007/s10910-012-0026-6

zbMATH Keywords

optimizationmultivariate functionsapproximation by polynomialshigh dimensional model representationfluctuation expansion

Mathematics Subject Classification ID

Multidimensional problems (41A63)

Uses Software

• MuPAD

Cites Work

• Fluctuation free multivariate integration based logarithmic HDMR in multivariate function representation
• A factorized high dimensional model representation on the nodes of a finite hyperprismatic regular grid
• High dimensional model representation for stochastic finite element analysis
• Constancy maximization based weight optimization in high dimensional model representation for multivariate functions
• General foundations of high-dimensional model representations
• Hybrid high dimensional model representation (HHDMR) on the partitioned data
• High‐dimensional model representation for structural reliability analysis
• A Factorized High Dimensional Model Representation on the Partitioned Random Discrete Data
• Efficient implementation of high dimensional model representations
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