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Reliability-oriented global sensitivity analysis using subset simulation and space partition
16 references·6 citing·35 second hop
Reliability-oriented global sensitivity analysis using subset simulation and space partition (2023)Reliability-oriented global sensitivity a…Random forests for global sensitivity analysis: A selective review (2020)Random forests for global sen…Variable importance analysis: A comprehensive review (2015)Variable importance analysis:…Moment-independent importance measure of basic variable and its state dependent parameter solution (2012)Moment-independent importance…Efficient sampling methods for global reliability sensitivity analysis (2012)Efficient sampling methods fo…Bayesian post-processor and other enhancements of Subset Simulation for estimating failure probabilities in high dimensions (2011)Bayesian post-processor and o…Moment-independent importance measure of basic random variable and its probability density evolution solution (2010)Moment-independent importance…Variance based sensitivity analysis of model output. Design and estimator for the total sensitivity index (2009)Variance based sensitivity an…Implementation and evaluation of nonparametric regression procedures for sensitivity analysis of computationally demanding models (2009)Implementation and evaluation…A new uncertainty importance measure (2006)A new uncertainty importance …Random balance designs for the estimation of first order global sensitivity indices (2005)Random balance designs for th…Sensitivity Analysis for Importance Assessment (2002)Sensitivity Analysis for Impo…Global sensitivity indices for nonlinear mathematical models and their Monte Carlo estimates (2001)Global sensitivity indices fo…Estimation of small failure probabilities in high dimensions by subset simulation (2001)Estimation of small failure p…An uncertainty importance measure using a distance metric for the change in a cumulative distribution function (2000)An uncertainty importance mea…Analysis of variance designs for model output (1999)Analysis of variance designs …Importance measures in global sensitivity analysis of nonlinear models (1996)Importance measures in global…Relaxed subset simulation for reliability estimation (2025)Relaxed subset simulation for…Efficient global reliability sensitivity method by combining dimensional reduction integral with stochastic collocation (2025)Efficient global reliability …Accelerating subset simulation with surrogate model ensuring unbiased failure probability estimation (2025)Accelerating subset simulatio…A double-loop adaptive Kriging-based robust design optimization method with aleatory and epistemic uncertainty (2025)A double-loop adaptive Krigin…Refined dimension-reduction integration method for uncertainty propagation in stochastic systems: Estimation of statistical moments (2024)Refined dimension-reduction i…A single-loop reliability sensitivity analysis strategy for time-dependent rare events with both random variables and stochastic processes (2024)A single-loop reliability sen…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)A simple and efficient method for global sensitivity analysis based on cumulative distribution functions (2015)The Future of Sensitivity Analysis: An essential discipline for systems modeling and policy support (2020)Simulation and the Monte Carlo Method (1981)The stochastic finite element method: Past, present and future (2008)A combined Importance Sampling and Kriging reliability method for small failure probabilities with time-demanding numerical models (2012)The generalization of Latin hypercube sampling (2015)Simulation and the Monte Carlo Method (2016)A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (1979)Large Sample Properties of Simulations Using Latin Hypercube Sampling (1987)From screening to quantitative sensitivity analysis. A unified approach (2011)Statistics for Experimenters (1979)Verification, Validation, and Confirmation of Numerical Models in the Earth Sciences (1994)A Quantitative Model-Independent Method for Global Sensitivity Analysis of Model Output (1999)“Opening Up” and “Closing Down” (2007)Why so many published sensitivity analyses are false: A systematic review of sensitivity analysis practices (2019)Design and Analysis of Computer Experiments (1989)Handbook on Constructing Composite Indicators (2005)An effective screening design for sensitivity analysis of large models (2007)Sensitivity analysis of environmental models: A systematic review with practical workflow (2016)STATISTICS FOR SPATIAL DATA (1992)Global Sensitivity Analysis for Systems with Independent and/or Correlated Inputs (2010)Mixed aleatory-epistemic uncertainty quantification with stochastic expansions and optimization-based interval estimation (2011)Asymptotic normality and efficiency of two Sobol index estimators (2013)Global Sensitivity Analysis. The Primer (2007)How to avoid a perfunctory sensitivity analysis (2010)SALib: An open-source Python library for Sensitivity Analysis (2017)17. A Value for n-Person Games (1953)Efficient global sensitivity analysis for high-dimensional outputs combining data-driven probability models and dimensionality reduction (2022)A comparison between Sobol’s indices and Shapley’s effect for global sensitivity analysis of systems with independent input variables (2023)A survey on machine learning approaches for uncertainty quantification of engineering systems (2025)Statistical principles in experimental design. (1962)Regression and Kriging metamodels with their experimental designs in simulation: A review (2016)Surrogate-assisted global sensitivity analysis: an overview (2020)
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References

  • 2001Global sensitivity indices for nonlinear mathematical models and their Monte Carlo estimates6,377 cited
  • 2009Variance based sensitivity analysis of model output. Design and estimator for the total sensitivity index3,567 cited
  • 2001Estimation of small failure probabilities in high dimensions by subset simulation2,419 cited
  • 1996Importance measures in global sensitivity analysis of nonlinear models2,014 cited
  • 2002Sensitivity Analysis for Importance Assessment1,303 cited
  • 2006A new uncertainty importance measure1,030 cited
  • 1999Analysis of variance designs for model output648 cited
  • 2015Variable importance analysis: A comprehensive review526 cited
  • 2020Random forests for global sensitivity analysis: A selective review366 cited
  • 2009Implementation and evaluation of nonparametric regression procedures for sensitivity analysis of computationally demanding models327 cited
  • 2005Random balance designs for the estimation of first order global sensitivity indices319 cited
  • 2011Bayesian post-processor and other enhancements of Subset Simulation for estimating failure probabilities in high dimensions213 cited
  • 2000An uncertainty importance measure using a distance metric for the change in a cumulative distribution function195 cited
  • 2012Efficient sampling methods for global reliability sensitivity analysis

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157 cited
  • 2010Moment-independent importance measure of basic random variable and its probability density evolution solution152 cited
  • 2012Moment-independent importance measure of basic variable and its state dependent parameter solution146 cited
  • Cited by

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    • 2025Efficient global reliability sensitivity method by combining dimensional reduction integral with stochastic collocation11 cited
    • 2025Relaxed subset simulation for reliability estimation8 cited
    • 2025Accelerating subset simulation with surrogate model ensuring unbiased failure probability estimation8 cited
    • 2025A double-loop adaptive Kriging-based robust design optimization method with aleatory and epistemic uncertainty6 cited