Bound analysis in univariately truncated generalized high dimensional model representation for random-data partitioning: Interval GHDMR

DOI10.1016/j.apnum.2008.06.006zbMath1162.65311OpenAlexW1999949706MaRDI QIDQ1015929

M. Alper Tunga, Metin Demiralp

Publication date: 30 April 2009

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2008.06.006

zbMATH Keywords

interpolationcomputational complexityapproximationmultivariate functionshigh dimensional model representationmultidimensional problemsbound analysisgeneralized high dimensional model representation

Mathematics Subject Classification ID

Numerical interpolation (65D05) Multidimensional problems (41A63) Interpolation in approximation theory (41A05) Complexity and performance of numerical algorithms (65Y20)

Related Items (5)

A new approach for multivariate data modelling in orthogonal geometry ⋮ Bound analysis through HDMR for multivariate data modelling - CMMSE ⋮ The influence of the support functions on the quality of enhanced multivariance product representation ⋮ An approximation method to model multivariate interpolation problems: indexing HDMR ⋮ Constancy maximization based weight optimization in high dimensional model representation

Uses Software

• MuPAD
• PERL

Cites Work

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• A Parametric Sensitivity Analysis for the Solution of Extrema Evaluation Problems via a Dimensionality Reducing Approximation Method
• High Dimensional Model Representation Approximation of an Evolution Operator with a First Order Partial Differential Operator Argument
• Efficient implementation of high dimensional model representations
• High dimensional model representations generated from low dimensional data samples. I: mp-cut-HDMR

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