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On the use of sparse Bayesian learning-based polynomial chaos expansion for global reliability sensitivity analysis
16 references·1 citing·32 second hop
On the use of sparse Bayesian learning-based polynomial chaos expansion for global reliability sensitivity analysis (2022)On the use of sparse Bayesian learning-ba…Reliability sensitivity estimation with sequential importance sampling (2018)Reliability sensitivity estim…Improved Kriging with extremum response surface method for structural dynamic reliability and sensitivity analyses (2018)Improved Kriging with extremu…Bayesian sparse polynomial chaos expansion for global sensitivity analysis (2017)Bayesian sparse polynomial ch…Adaptive sparse polynomial chaos expansions for global sensitivity analysis based on support vector regression (2017)Adaptive sparse polynomial ch…A modified importance sampling method for structural reliability and its global reliability sensitivity analysis (2017)A modified importance samplin…Meta-model-based importance sampling for reliability sensitivity analysis (2014)Meta-model-based importance s…Efficient sampling methods for global reliability sensitivity analysis (2012)Efficient sampling methods fo…A combined Importance Sampling and Kriging reliability method for small failure probabilities with time-demanding numerical models (2012)A combined Importance Samplin…Reliability sensitivity analysis for structural systems in interval probability form (2011)Reliability sensitivity analy…Adaptive sparse polynomial chaos expansion based on least angle regression (2010)Adaptive sparse polynomial ch…Variance based sensitivity analysis of model output. Design and estimator for the total sensitivity index (2009)Variance based sensitivity an…An adaptive algorithm to build up sparse polynomial chaos expansions for stochastic finite element analysis (2009)An adaptive algorithm to buil…Subset simulation for structural reliability sensitivity analysis (2008)Subset simulation for structu…Global sensitivity analysis using polynomial chaos expansions (2007)Global sensitivity analysis u…The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)The Wiener--Askey Polynomial …Global sensitivity indices for nonlinear mathematical models and their Monte Carlo estimates (2001)Global sensitivity indices fo…Efficient global reliability sensitivity method by combining dimensional reduction integral with stochastic collocation (2025)Efficient global reliability …Computational methods for efficient structural reliability and reliability sensitivity analysis (1994)Estimation of small failure probabilities in high dimensions by subset simulation (2001)Reliability of structures in high dimensions, part I: algorithms and applications (2004)Global sensitivity analysis-enhanced surrogate (GSAS) modeling for reliability analysis (2015)Adaptive surrogate model with active refinement combining Kriging and a trust region method (2017)Monte Carlo and variance reduction methods for structural reliability analysis: A comprehensive review (2023)Design and Analysis of Computer Experiments (1989)An Introduction to Copulas (1999)Simulation and the Monte Carlo Method (2007)Efficient reliability analysis based on adaptive sequential sampling design and cross-validation (2018)Improved cross entropy-based importance sampling with a flexible mixture model (2019)Global Sensitivity Analysis. The Primer (2007)Monte Carlo simulation for moment-independent sensitivity analysis (2012)RBF-GA: An adaptive radial basis function metamodeling with genetic algorithm for structural reliability analysis (2019)Structural reliability analysis based on ensemble learning of surrogate models (2019)Stochastic Finite Elements: A Spectral Approach (1991)High-Order Collocation Methods for Differential Equations with Random Inputs (2005)Structural reliability under combined random load sequences (1978)A new learning function for Kriging and its applications to solve reliability problems in engineering (2015)Assessing small failure probabilities by AK–SS: An active learning method combining Kriging and Subset Simulation (2016)LIF: A new Kriging based learning function and its application to structural reliability analysis (2016)A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (2000)Efficient computation of global sensitivity indices using sparse polynomial chaos expansions (2010)UQLab: A Framework for Uncertainty Quantification in Matlab (2014)POLYNOMIAL-CHAOS-BASED KRIGING (2015)A Quantitative Model-Independent Method for Global Sensitivity Analysis of Model Output (1999)Sensitivity analysis of environmental models: A systematic review with practical workflow (2016)Structural Reliability Methods (1996)Reliability-based design optimization using kriging surrogates and subset simulation (2011)How to avoid a perfunctory sensitivity analysis (2010)SALib: An open-source Python library for Sensitivity Analysis (2017)A new uncertainty importance measure (2006)
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References

  • 2001Global sensitivity indices for nonlinear mathematical models and their Monte Carlo estimates6,377 cited
  • 2002The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations4,821 cited
  • 2009Variance based sensitivity analysis of model output. Design and estimator for the total sensitivity index3,567 cited
  • 2007Global sensitivity analysis using polynomial chaos expansions2,547 cited
  • 2010Adaptive sparse polynomial chaos expansion based on least angle regression1,507 cited
  • 2009An adaptive algorithm to build up sparse polynomial chaos expansions for stochastic finite element analysis834 cited
  • 2012A combined Importance Sampling and Kriging reliability method for small failure probabilities with time-demanding numerical models692 cited
  • 2008Subset simulation for structural reliability sensitivity analysis284 cited
  • 2014Meta-model-based importance sampling for reliability sensitivity analysis158 cited
  • 2012Efficient sampling methods for global reliability sensitivity analysis157 cited
  • 2017Bayesian sparse polynomial chaos expansion for global sensitivity analysis140 cited
  • 2017Adaptive sparse polynomial chaos expansions for global sensitivity analysis based on support vector regression126 cited
  • 2018Reliability sensitivity estimation with sequential importance sampling112 cited
  • 2018

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Improved Kriging with extremum response surface method for structural dynamic reliability and sensitivity analyses
110 cited
  • 2011Reliability sensitivity analysis for structural systems in interval probability form70 cited
  • 2017A modified importance sampling method for structural reliability and its global reliability sensitivity analysis69 cited
  • Cited by

    • 2025Efficient global reliability sensitivity method by combining dimensional reduction integral with stochastic collocation11 cited