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Global Sensitivity Analysis for multivariate output using Polynomial Chaos Expansion
16 references·16 citing·25 second hopsampled
Global Sensitivity Analysis for multivariate output using Polynomial Chaos Expansion (2014)Global Sensitivity Analysis for multivari…Numerical Methods for Stochastic Computations: A Spectral Method Approach (2010)Numerical Methods for Stochas…Efficient computation of global sensitivity indices using sparse polynomial chaos expansions (2010)Efficient computation of glob…Adaptive sparse polynomial chaos expansion based on least angle regression (2010)Adaptive sparse polynomial ch…An adaptive algorithm to build up sparse polynomial chaos expansions for stochastic finite element analysis (2009)An adaptive algorithm to buil…Global Sensitivity Analysis (2008)Global Sensitivity AnalysisGlobal Sensitivity Analysis. The Primer (2007)Global Sensitivity Analysis. …Global sensitivity analysis using polynomial chaos expansions (2007)Global sensitivity analysis u…Stochastic finite element: a non intrusive approach by regression (2006)Stochastic finite element: a …A new uncertainty importance measure (2006)A new uncertainty importance …The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)The Wiener--Askey Polynomial …Making best use of model evaluations to compute sensitivity indices (2002)Making best use of model eval…Sensitivity Anaysis as an Ingredient of Modeling (2000)Sensitivity Anaysis as an Ing…Sensitivity Analysis as an Ingredient of Modeling (2000)Sensitivity Analysis as an In…Sensitivity measures,anova-like Techniques and the use of bootstrap (1997)Sensitivity measures,anova-li…Importance measures in global sensitivity analysis of nonlinear models (1996)Importance measures in global…Stochastic Finite Elements: A Spectral Approach (1991)Stochastic Finite Elements: A…Uncertainty propagation in risk and resilience analysis of hierarchical systems (2021)Uncertainty propagation in ri…Global sensitivity analysis for multivariate outputs using polynomial chaos-based surrogate models (2020)Global sensitivity analysis f…Robust combination of the Morris and Sobol methods in complex multidimensional models (2019)Robust combination of the Mor…Principal component analysis and sparse polynomial chaos expansions for global sensitivity analysis and model calibration: Application to urban drainage simulation (2019)Principal component analysis …Global sensitivity analysis using orthogonal augmented radial basis function (2019)Global sensitivity analysis u…Using polynomial chaos expansion for uncertainty and sensitivity analysis of bridge structures (2018)Using polynomial chaos expans…Generalized sensitivity indices based on vector projection for multivariate output (2018)Generalized sensitivity indic…Multivariate sensitivity analysis based on the direction of eigen space through principal component analysis (2017)Multivariate sensitivity anal…Multivariate global sensitivity analysis for dynamic models based on wavelet analysis (2017)Multivariate global sensitivi…Multivariate global sensitivity analysis for dynamic models based on energy distance (2017)Multivariate global sensitivi…Global sensitivity analysis via multi-fidelity polynomial chaos expansion (2017)Global sensitivity analysis v…Global sensitivity analysis using support vector regression (2017)Global sensitivity analysis u…Global sensitivity analysis using a Gaussian Radial Basis Function metamodel (2016)Global sensitivity analysis u…Variance-Based Sensitivity Analysis: Theory and Estimation Algorithms (2015)Variance-Based Sensitivity An…A new kind of sensitivity index for multivariate output (2015)A new kind of sensitivity ind…Polynomial chaos expansions for uncertainty propagation and moment independent sensitivity analysis of seawater intrusion simulations (2014)Polynomial chaos expansions f…Factorial Sampling Plans for Preliminary Computational Experiments (1991)A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (2000)Global sensitivity indices for nonlinear mathematical models and their Monte Carlo estimates (2001)A simple and efficient method for global sensitivity analysis based on cumulative distribution functions (2015)Variable importance analysis: A comprehensive review (2015)The Future of Sensitivity Analysis: An essential discipline for systems modeling and policy support (2020)Statistics for Experimenters (1979)Design and Analysis of Computer Experiments (1989)Handbook on Constructing Composite Indicators (2005)An effective screening design for sensitivity analysis of large models (2007)A Quantitative Model-Independent Method for Global Sensitivity Analysis of Model Output (1999)Structural Reliability Methods (1996)Reliability-based design optimization using kriging surrogates and subset simulation (2011)A combined Importance Sampling and Kriging reliability method for small failure probabilities with time-demanding numerical models (2012)LIF: A new Kriging based learning function and its application to structural reliability analysis (2016)Variance based sensitivity analysis of model output. Design and estimator for the total sensitivity index (2009)Sensitivity analysis of environmental models: A systematic review with practical workflow (2016)SALib: An open-source Python library for Sensitivity Analysis (2017)AK-MCS: An active learning reliability method combining Kriging and Monte Carlo Simulation (2011)Multilevel Monte Carlo methods and applications to elliptic PDEs with random coefficients (2011)Stochastic finite element methods for partial differential equations with random input data (2014)Chaospy: An open source tool for designing methods of uncertainty quantification (2015)High-Order Collocation Methods for Differential Equations with Random Inputs (2005)UQLab: A Framework for Uncertainty Quantification in Matlab (2014)POLYNOMIAL-CHAOS-BASED KRIGING (2015)
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References

  • 2007Global Sensitivity Analysis. The Primer6,425 cited
  • 1991Stochastic Finite Elements: A Spectral Approach5,753 cited
  • 2002The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations4,821 cited
  • 2007Global sensitivity analysis using polynomial chaos expansions2,547 cited
  • 2002Making best use of model evaluations to compute sensitivity indices2,225 cited
  • 1996Importance measures in global sensitivity analysis of nonlinear models2,014 cited
  • 2010Adaptive sparse polynomial chaos expansion based on least angle regression1,507 cited
  • 2010Numerical Methods for Stochastic Computations: A Spectral Method Approach1,107 cited
  • 2006A new uncertainty importance measure1,030 cited
  • 2009An adaptive algorithm to build up sparse polynomial chaos expansions for stochastic finite element analysis834 cited
  • 2000Sensitivity Anaysis as an Ingredient of Modeling607 cited
  • 2000Sensitivity Analysis as an Ingredient of Modeling604 cited
  • 1997Sensitivity measures,anova-like Techniques and the use of bootstrap546 cited
  • 2006Stochastic finite element: a non intrusive approach by regression427 cited
  • 2008Global Sensitivity Analysis415 cited

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  • 2010Efficient computation of global sensitivity indices using sparse polynomial chaos expansions383 cited
  • Cited by

    • 2014Polynomial chaos expansions for uncertainty propagation and moment independent sensitivity analysis of seawater intrusion simulations115 cited
    • 2017Global sensitivity analysis using support vector regression114 cited
    • 2021Uncertainty propagation in risk and resilience analysis of hierarchical systems103 cited
    • 2018Using polynomial chaos expansion for uncertainty and sensitivity analysis of bridge structures92 cited
    • 2019Principal component analysis and sparse polynomial chaos expansions for global sensitivity analysis and model calibration: Application to urban drainage simulation91 cited
    • 2017Global sensitivity analysis via multi-fidelity polynomial chaos expansion80 cited
    • 2017Multivariate global sensitivity analysis for dynamic models based on wavelet analysis66 cited
    • 2016Global sensitivity analysis using a Gaussian Radial Basis Function metamodel59 cited
    • 2017Multivariate sensitivity analysis based on the direction of eigen space through principal component analysis48 cited
    • 2018Generalized sensitivity indices based on vector projection for multivariate output45 cited
    • 2015Variance-Based Sensitivity Analysis: Theory and Estimation Algorithms39 cited
    • 2017Multivariate global sensitivity analysis for dynamic models based on energy distance38 cited
    • 2019Robust combination of the Morris and Sobol methods in complex multidimensional models36 cited
    • 2020Global sensitivity analysis for multivariate outputs using polynomial chaos-based surrogate models36 cited
    • 2015A new kind of sensitivity index for multivariate output35 cited
    • 2019Global sensitivity analysis using orthogonal augmented radial basis function35 cited