An approximation method to model multivariate interpolation problems: indexing HDMR

DOI10.1016/j.mcm.2011.01.027zbMath1219.65018OpenAlexW2050032733MaRDI QIDQ636486

M. Alper Tunga

Publication date: 28 August 2011

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2011.01.027

zbMATH Keywords

approximationmultivariate analysiscombinatorial analysisdata partitioninghigh-dimensional model representation

Mathematics Subject Classification ID

Multivariate analysis (62H99) Numerical interpolation (65D05) Multidimensional problems (41A63) Interpolation in approximation theory (41A05)

Related Items (2)

Multivariate data modelling through piecewise generalized HDMR method ⋮ Improved Moving Least Square-Based Multiple Dimension Decomposition (MDD) Technique for Structural Reliability Analysis

Uses Software

• MuPAD
• GUI-HDMR

Cites Work

• Survey of modeling and optimization strategies to solve high-dimensional design problems with computationally-expensive black-box functions
• Hybrid high dimensional model representation for reliability analysis
• Bound analysis in univariately truncated generalized high dimensional model representation for random-data partitioning: Interval GHDMR
• Constancy maximization based weight optimization in high dimensional model representation
• A survey on univariate data interpolation and approximation by splines of given shape
• Approximation of a several variables function by a one variable function and application to global optimization
• General foundations of high-dimensional model representations
• Model independent parametric decision making
• Hybrid high dimensional model representation (HHDMR) on the partitioned data
• A new approach for data partitioning through high dimensional model representation
• High dimensional model representation for piece‐wise continuous function approximation
• Probabilistic Analysis Using High Dimensional Model Representation and Fast Fourier Transform
• Efficient implementation of high dimensional model representations
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