A new approach for data partitioning through high dimensional model representation

DOI10.1080/00207160701576095zbMath1154.65010OpenAlexW2082357068MaRDI QIDQ3545670

Metin Demiralp, M. Alper Tunga

Publication date: 11 December 2008

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160701576095

zbMATH Keywords

interpolationcomputational complexitynumerical examplesdata partitioningmultivariate functionsmultidimensional problems

Mathematics Subject Classification ID

Numerical interpolation (65D05) Multidimensional problems (41A63) Interpolation in approximation theory (41A05) Approximation by polynomials (41A10)

Related Items (10)

Experiments with an adaptive multicut-HDMR map generation for slowly varying continuous multivariate functions ⋮ A new approach for multivariate data modelling in orthogonal geometry ⋮ Zero interval limit perturbation expansion for the spectral entities of Hilbert-Schmidt operators combined with most dominant spectral component extraction: formulation and certain technicalities ⋮ Bound analysis through HDMR for multivariate data modelling - CMMSE ⋮ A novel method for multivariate data modelling: Piecewise Generalized EMPR ⋮ An approximation method to model multivariate interpolation problems: indexing HDMR ⋮ Multivariate data modelling through piecewise generalized HDMR method ⋮ Constancy maximization based weight optimization in high dimensional model representation for multivariate functions ⋮ A matrix based indexing HDMR method for multivariate data modelling ⋮ A self-consistent high dimensional modelling based decomposition approach for univariate linear integral operators: tridiagonal kernel enhanced multivariance products representation (TKEMPR)

Uses Software

• MuPAD
• PERL

Cites Work

• General foundations of high-dimensional model representations
• 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
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