Probabilistic Analysis Using High Dimensional Model Representation and Fast Fourier Transform
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Publication:3616637
DOI10.1080/15502280802363035zbMath1253.74006OpenAlexW1975883834MaRDI QIDQ3616637
Rajib Chowdhury, B. Nageswara Rao
Publication date: 26 March 2009
Published in: International Journal for Computational Methods in Engineering Science and Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/15502280802363035
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A novel piecewise multivariate function approximation method via universal matrix representation ⋮ Weight optimization in HDMR with perturbation expansion method ⋮ An approximation method to model multivariate interpolation problems: indexing HDMR ⋮ Weighted tridiagonal matrix enhanced multivariance products representation (WTMEMPR) for decomposition of multiway arrays: applications on certain chemical system data sets ⋮ Combined small scale high dimensional model representation ⋮ Multivariate data modelling through piecewise generalized HDMR method ⋮ Constancy maximization based weight optimization in high dimensional model representation for multivariate functions ⋮ Fluctuation free multivariate integration based logarithmic HDMR in multivariate function representation ⋮ A matrix based indexing HDMR method for multivariate data modelling ⋮ A critical appraisal of design of experiments for uncertainty quantification ⋮ A new point estimation method for statistical moments based on dimension-reduction method and direct numerical integration ⋮ Improved Moving Least Square-Based Multiple Dimension Decomposition (MDD) Technique for Structural Reliability Analysis
Cites Work
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- A univariate approximation at most probable point for higher-order reliability analysis
- Improved two-point function approximations for design optimization
- 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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