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Derivative-based global sensitivity measures: General links with Sobol’ indices and numerical tests
10 references·16 citing·34 second hop
Derivative-based global sensitivity measures: General links with Sobol’ indices and numerical tests (2013)Derivative-based global sensitivity measu…Design and Analysis of Simulation Experiments (2018)Design and Analysis of Simula…Variance based sensitivity analysis of model output. Design and estimator for the total sensitivity index (2009)Variance based sensitivity an…Derivative based global sensitivity measures and their link with global sensitivity indices (2009)Derivative based global sensi…Monte Carlo evaluation of derivative-based global sensitivity measures (2008)Monte Carlo evaluation of der…Design and Analysis of Simulation Experiments (2007)Design and Analysis of Simula…Estimating the approximation error when fixing unessential factors in global sensitivity analysis (2006)Estimating the approximation …Making best use of model evaluations to compute sensitivity indices (2002)Making best use of model eval…Global sensitivity indices for nonlinear mathematical models and their Monte Carlo estimates (2001)Global sensitivity indices fo…Importance measures in global sensitivity analysis of nonlinear models (1996)Importance measures in global…Factorial Sampling Plans for Preliminary Computational Experiments (1991)Factorial Sampling Plans for …Multivariate sensitivity analysis and derivative-based global sensitivity measures with dependent variables (2021)Multivariate sensitivity anal…Data-driven and active learning of variance-based sensitivity indices with Bayesian probabilistic integration (2021)Data-driven and active learni…A unified approach for global sensitivity analysis based on active subspace and Kriging (2021)A unified approach for global…Line sampling-based local and global reliability sensitivity analysis (2019)Line sampling-based local and…Enhanced Morris method for global sensitivity analysis: good proxy of Sobol’ index (2018)Enhanced Morris method for gl…Sensitivity analysis approach to model epistemic and aleatory imperfection: Application to Land Cover Change prediction model (2017)Sensitivity analysis approach…Poincaré inequalities on intervals – application to sensitivity analysis (2017)Poincaré inequalities on inte…Multivariate global sensitivity analysis for dynamic models based on wavelet analysis (2017)Multivariate global sensitivi…Extending Morris method for qualitative global sensitivity analysis of models with dependent inputs (2017)Extending Morris method for q…New improvements in the use of dependence measures for sensitivity analysis and screening (2016)New improvements in the use o…Global sensitivity analysis using low-rank tensor approximations (2016)Global sensitivity analysis u…Derivative-Based Global Sensitivity Measures and Their Link with Sobol’ Sensitivity Indices (2016)Derivative-Based Global Sensi…Crossed-derivative based sensitivity measures for interaction screening (2014)Crossed-derivative based sens…Computing derivative-based global sensitivity measures using polynomial chaos expansions (2014)Computing derivative-based gl…Numerical studies of space-filling designs: optimization of Latin Hypercube Samples and subprojection properties (2013)Numerical studies of space-fi…Derivative based global sensitivity measures (2010)Derivative based global sensi…Simulation Modeling and Analysis. (1983)Response Surface Methodology: Process and Product Optimization Using Designed Experiments (1996)An algorithm for fast optimal Latin hypercube design of experiments (2009)Robust Optimization (2009)Design of computer experiments: space filling and beyond (2011)Regression and Kriging metamodels with their experimental designs in simulation: A review (2016)Sensitivity Analysis in Practice (2002)Estimation of global sensitivity indices for models with dependent variables (2011)Sobol' Indices and Shapley Value (2014)A guide to uncertainty quantification and sensitivity analysis for cardiovascular applications (2015)Statistics for Experimenters (1979)Design and Analysis of Computer Experiments (1989)A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (2000)Handbook on Constructing Composite Indicators (2005)Sensitivity analysis of environmental models: A systematic review with practical workflow (2016)A Quantitative Model-Independent Method for Global Sensitivity Analysis of Model Output (1999)Global sensitivity analysis using polynomial chaos expansions (2007)Global Sensitivity Analysis. The Primer (2007)From screening to quantitative sensitivity analysis. A unified approach (2011)Sensitivity analysis for volcanic source modeling quality assessment and model selection (2012)What do we mean by sensitivity analysis? The need for comprehensive characterization of “global” sensitivity in E arth and E nvironmental systems models (2015)An effective screening design for sensitivity analysis of large models (2007)Efficient sampling methods for global reliability sensitivity analysis (2012)Global sensitivity metrics from active subspaces (2017)Sensitivity analysis methods in the biomedical sciences (2020)THE DESIGN OF OPTIMUM MULTIFACTORIAL EXPERIMENTS (1946)On the Experimental Attainment of Optimum Conditions (1951)Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (1979)Latin hypercube sampling and the propagation of uncertainty in analyses of complex systems (2003)How to avoid a perfunctory sensitivity analysis (2010)SALib: An open-source Python library for Sensitivity Analysis (2017)A new uncertainty importance measure (2006)Opening the ‘black box’ of simulations: increased transparency and effective communication through the systematic design of experiments (2011)A Tutorial on Latin Hypercube Design of Experiments (2015)
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References

  • 2001Global sensitivity indices for nonlinear mathematical models and their Monte Carlo estimates6,377 cited
  • 1991Factorial Sampling Plans for Preliminary Computational Experiments4,936 cited
  • 2009Variance based sensitivity analysis of model output. Design and estimator for the total sensitivity index3,567 cited
  • 2002Making best use of model evaluations to compute sensitivity indices2,225 cited
  • 1996Importance measures in global sensitivity analysis of nonlinear models2,014 cited
  • 2018Design and Analysis of Simulation Experiments449 cited
  • 2009Derivative based global sensitivity measures and their link with global sensitivity indices446 cited
  • 2006Estimating the approximation error when fixing unessential factors in global sensitivity analysis395 cited
  • 2007Design and Analysis of Simulation Experiments317 cited
  • 2008Monte Carlo evaluation of derivative-based global sensitivity measures294 cited

Cited by

  • 2013Numerical studies of space-filling designs: optimization of Latin Hypercube Samples and subprojection properties155 cited
  • 2014Computing derivative-based global sensitivity measures using polynomial chaos expansions116 cited
  • 2016Global sensitivity analysis using low-rank tensor approximations95 cited
  • 2017Extending Morris method for qualitative global sensitivity analysis of models with dependent inputs

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81 cited
  • 2017Multivariate global sensitivity analysis for dynamic models based on wavelet analysis66 cited
  • 2010Derivative based global sensitivity measures65 cited
  • 2016New improvements in the use of dependence measures for sensitivity analysis and screening61 cited
  • 2018Enhanced Morris method for global sensitivity analysis: good proxy of Sobol’ index49 cited
  • 2016Derivative-Based Global Sensitivity Measures and Their Link with Sobol’ Sensitivity Indices46 cited
  • 2017Poincaré inequalities on intervals – application to sensitivity analysis44 cited
  • 2017Sensitivity analysis approach to model epistemic and aleatory imperfection: Application to Land Cover Change prediction model44 cited
  • 2021Multivariate sensitivity analysis and derivative-based global sensitivity measures with dependent variables44 cited
  • 2021Data-driven and active learning of variance-based sensitivity indices with Bayesian probabilistic integration38 cited
  • 2014Crossed-derivative based sensitivity measures for interaction screening37 cited
  • 2021A unified approach for global sensitivity analysis based on active subspace and Kriging36 cited
  • 2019Line sampling-based local and global reliability sensitivity analysis30 cited