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ArticleGeneral formulation of HDMR component functions with independent and correlated variables

Genyuan Li2011

Article2011

General formulation of HDMR component functions with independent and correlated variables

Genyuan Li · HERSCHEL A. RABITZ

129 citations·0/0 files stored·Journal of Mathematical Chemistry

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Probabilistic and Robust Engineering Design Mathematical Approximation and Integration Gaussian Processes and Bayesian Inference

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References

2004Probabilistic Sensitivity Analysis of Complex Models: A Bayesian Approach 1999General foundations of high‐dimensional model representations 2001High Dimensional Model Representations 1999Efficient input—output model representations 2002Practical Approaches To Construct RS-HDMR Component Functions 2010Global Sensitivity Analysis for Systems with Independent and/or Correlated Inputs 2006Random Sampling-High Dimensional Model Representation (RS-HDMR) and Orthogonality of Its Different Order Component Functions 2002Global uncertainty assessments by high dimensional model representations (HDMR)

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2016A Common Rationale for Global Sensitivity Measures and Their Estimation 2019Principal component analysis and sparse polynomial chaos expansions for global sensitivity analysis and model calibration: Application to urban drainage simulation 2014Generalized Sobol sensitivity indices for dependent variables: numerical methods 2018Probabilistic micromechanical spatial variability quantification in laminated composites 2018Effect of delamination on the stochastic natural frequencies of composite laminates

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2007Regularized random-sampling high dimensional model representation (RS-HDMR)article · 6 shared references 2008GUI–HDMR – A software tool for global sensitivity analysis of complex modelsarticle · 5 shared references 2020Surrogate-assisted global sensitivity analysis: an overviewarticle · 5 shared references 2003Random Sampling−High Dimensional Model Representation (RS−HDMR) with Nonuniformly Distributed Variables: Application to an Integrated Multimedia/Multipathway Exposure and Dose Model for Trichloroethylenearticle · 5 shared references 2011Global Sensitivity Analysis of Chemical-Kinetic Reaction Mechanisms: Construction and Deconstruction of the Probability Density Functionarticle · 5 shared references 2016Adaptive surrogate modeling by ANOVA and sparse polynomial dimensional decomposition for global sensitivity analysis in fluid simulationarticle · 5 shared references

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Year2011

Typearticle

Published2011-08-25

VenueJournal of Mathematical Chemistry

ISSN-L0259-9791

Languageen

Citations129

Files0 public / 0

ShelfProbabilistic and Robust Engineering Design

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doi10.1007/s10910-011-9898-0

openalex_workW2005999347

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2017A surrogate based multi-fidelity approach for robust design optimization

2015Thermal uncertainty quantification in frequency responses of laminated composite plates

2016Bottom up surrogate based approach for stochastic frequency response analysis of laminated composite plates