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General formulation of HDMR component functions with independent and correlated variables
8 references·16 citing·34 second hop
General formulation of HDMR component functions with independent and correlated variables (2011)General formulation of HDMR component fun…Global Sensitivity Analysis for Systems with Independent and/or Correlated Inputs (2010)Global Sensitivity Analysis f…Random Sampling-High Dimensional Model Representation (RS-HDMR) and Orthogonality of Its Different Order Component Functions (2006)Random Sampling-High Dimensio…Probabilistic Sensitivity Analysis of Complex Models: A Bayesian Approach (2004)Probabilistic Sensitivity Ana…Practical Approaches To Construct RS-HDMR Component Functions (2002)Practical Approaches To Const…Global uncertainty assessments by high dimensional model representations (HDMR) (2002)Global uncertainty assessment…High Dimensional Model Representations (2001)High Dimensional Model Repres…General foundations of high‐dimensional model representations (1999)General foundations of high‐d…Efficient input—output model representations (1999)Efficient input—output model …Non-intrusive imprecise stochastic simulation by line sampling (2020)Non-intrusive imprecise stoch…Principal component analysis and sparse polynomial chaos expansions for global sensitivity analysis and model calibration: Application to urban drainage simulation (2019)Principal component analysis …Probabilistic micromechanical spatial variability quantification in laminated composites (2018)Probabilistic micromechanical…Effect of delamination on the stochastic natural frequencies of composite laminates (2018)Effect of delamination on the…Relationship between sensitivity indices defined by variance- and covariance-based methods (2017)Relationship between sensitiv…A surrogate based multi-fidelity approach for robust design optimization (2017)A surrogate based multi-fidel…Variance-Based Sensitivity Analysis to Support Simulation-Based Design Under Uncertainty (2016)Variance-Based Sensitivity An…Sequential experimental design based generalised ANOVA (2016)Sequential experimental desig…Bottom up surrogate based approach for stochastic frequency response analysis of laminated composite plates (2016)Bottom up surrogate based app…A hybrid approach for global sensitivity analysis (2016)A hybrid approach for global …A Common Rationale for Global Sensitivity Measures and Their Estimation (2016)A Common Rationale for Global…Variance-Based Sensitivity Analysis: Theory and Estimation Algorithms (2015)Variance-Based Sensitivity An…Thermal uncertainty quantification in frequency responses of laminated composite plates (2015)Thermal uncertainty quantific…Stochastic free vibration analysis of laminated composite plates using polynomial correlated function expansion (2015)Stochastic free vibration ana…Generalized Sobol sensitivity indices for dependent variables: numerical methods (2014)Generalized Sobol sensitivity…A Generalized ANOVA Dimensional Decomposition for Dependent Probability Measures (2014)A Generalized ANOVA Dimension…Importance measures in global sensitivity analysis of nonlinear models (1996)A Quantitative Model-Independent Method for Global Sensitivity Analysis of Model Output (1999)Ratings and Rankings: Voodoo or Science? 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References

  • 2004Probabilistic Sensitivity Analysis of Complex Models: A Bayesian Approach1,085 cited
  • 1999General foundations of high‐dimensional model representations905 cited
  • 2001High Dimensional Model Representations497 cited
  • 1999Efficient input—output model representations462 cited
  • 2002Practical Approaches To Construct RS-HDMR Component Functions275 cited
  • 2010Global Sensitivity Analysis for Systems with Independent and/or Correlated Inputs242 cited
  • 2006Random Sampling-High Dimensional Model Representation (RS-HDMR) and Orthogonality of Its Different Order Component Functions180 cited
  • 2002Global uncertainty assessments by high dimensional model representations (HDMR)179 cited

Cited by

  • 2016A Common Rationale for Global Sensitivity Measures and Their Estimation119 cited
  • 2019Principal component analysis and sparse polynomial chaos expansions for global sensitivity analysis and model calibration: Application to urban drainage simulation91 cited
  • 2014Generalized Sobol sensitivity indices for dependent variables: numerical methods76 cited
  • 2018Probabilistic micromechanical spatial variability quantification in laminated composites75 cited
  • 2018Effect of delamination on the stochastic natural frequencies of composite laminates68 cited
  • 2017A surrogate based multi-fidelity approach for robust design optimization

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61 cited
  • 2016Bottom up surrogate based approach for stochastic frequency response analysis of laminated composite plates56 cited
  • 2015Thermal uncertainty quantification in frequency responses of laminated composite plates56 cited
  • 2015Stochastic free vibration analysis of laminated composite plates using polynomial correlated function expansion54 cited
  • 2016Sequential experimental design based generalised ANOVA44 cited
  • 2016A hybrid approach for global sensitivity analysis43 cited
  • 2015Variance-Based Sensitivity Analysis: Theory and Estimation Algorithms39 cited
  • 2016Variance-Based Sensitivity Analysis to Support Simulation-Based Design Under Uncertainty38 cited
  • 2020Non-intrusive imprecise stochastic simulation by line sampling38 cited
  • 2014A Generalized ANOVA Dimensional Decomposition for Dependent Probability Measures37 cited
  • 2017Relationship between sensitivity indices defined by variance- and covariance-based methods35 cited