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An efficient Kriging model-based importance sampling method for estimating the failure probability-based parameter global sensitivity index with uncertain distribution parameters
16 references·4 citing·43 second hop
An efficient Kriging model-based importance sampling method for estimating the failure probability-based parameter global sensitivity index with uncertain distribution parameters (2022)An efficient Kriging model-based importan…Probabilistic modeling of uncertainties in fatigue reliability analysis of turbine bladed disks (2020)Probabilistic modeling of unc…Adaptive kriging-based efficient reliability method for structural systems with multiple failure modes and mixed variables (2019)Adaptive kriging-based effici…Regression and Kriging metamodels with their experimental designs in simulation: A review (2016)Regression and Kriging metamo…MCMC algorithms for Subset Simulation (2015)MCMC algorithms for Subset Si…Metamodel-based importance sampling for structural reliability analysis (2013)Metamodel-based importance sa…Imprecise probabilities in engineering analyses (2013)Imprecise probabilities in en…A combined Importance Sampling and Kriging reliability method for small failure probabilities with time-demanding numerical models (2012)A combined Importance Samplin…Review of uncertainty-based multidisciplinary design optimization methods for aerospace vehicles (2011)Review of uncertainty-based m…Likelihood-based representation of epistemic uncertainty due to sparse point data and/or interval data (2011)Likelihood-based representati…AK-MCS: An active learning reliability method combining Kriging and Monte Carlo Simulation (2011)AK-MCS: An active learning re…A new uncertainty importance measure (2006)A new uncertainty importance …A goodness of fit test for copulas based on Rosenblatt's transformation (2006)A goodness of fit test for co…Reliability-based design sensitivity by efficient simulation (2005)Reliability-based design sens…Application of kriging method to structural reliability problems (2004)Application of kriging method…Reliability analysis—a review and some perspectives (2001)Reliability analysis—a review…Structural Reliability Methods (1996)Structural Reliability MethodsMeta model-based importance sampling combined with adaptive Kriging method for estimating failure probability function (2024)Meta model-based importance s…AOK‐ES: Adaptive optimized Kriging combining efficient sampling for structural reliability analysis (2024)AOK‐ES: Adaptive optimized Kr…A novel training point selection strategy guided by the maximum reduction of structural state misclassification probability for time-dependent reliability analysis (2023)A novel training point select…A novel single-loop Kriging importance sampling method for estimating failure probability upper bound under random-interval mixed uncertainties (2023)A novel single-loop Kriging i…Exact and Invariant Second-Moment Code Format (1974)A critical appraisal of reliability estimation procedures for high dimensions (2004)The Logic of Scientific Discovery (2013)Structural Reliability Analysis and Prediction (2017)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)Stochastic Finite Elements: A Spectral Approach (1991)Kriging metamodeling in simulation: A review (2007)LIF: A new Kriging based learning function and its application to structural reliability analysis (2016)On the Experimental Attainment of Optimum Conditions (1951)A fast and efficient response surface approach for structural reliability problems (1990)On the Experimental Attainment of Optimum Conditions (1992)Support vector machine in structural reliability analysis: A review (2023)Structural reliability under combined random load sequences (1978)Estimation of small failure probabilities in high dimensions by subset simulation (2001)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)Fuzzy Sets and Systems - Theory and Applications (1980)Fuzzy Set Theory and Its Applications (1993)Fuzzy sets (1996)Advanced Line Sampling for efficient robust reliability analysis (2014)Recent Trends in the Modeling and Quantification of Non-probabilistic Uncertainty (2019)Modern Monte Carlo methods for efficient uncertainty quantification and propagation: A survey (2020)Fuzzy sets (1965)Global Sensitivity Analysis. The Primer (2007)Engineering Design with Digital Thread (2018)A Comparative Study of Metaheuristic Algorithms for Reliability-Based Design Optimization Problems (2020)A novel Kriging-model-assisted reliability-based multidisciplinary design optimization strategy and its application in the offshore wind turbine tower (2022)Probability Concepts in Engineering Planning and Design (1975)Global sensitivity analysis using polynomial chaos expansions (2007)Aleatory or epistemic? Does it matter? (2008)Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (1979)Design and Analysis of Computer Experiments (1989)POLYNOMIAL-CHAOS-BASED KRIGING (2015)Machine learning-based methods in structural reliability analysis: A review (2021)Simulation and the Monte Carlo Method (2007)Bayesian Updating with Structural Reliability Methods (2014)Sequential importance sampling for structural reliability analysis (2016)Monte Carlo and variance reduction methods for structural reliability analysis: A comprehensive review (2023)
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References

  • 1996Structural Reliability Methods2,192 cited
  • 2011AK-MCS: An active learning reliability method combining Kriging and Monte Carlo Simulation2,048 cited
  • 2006A new uncertainty importance measure1,030 cited
  • 2001Reliability analysis—a review and some perspectives775 cited
  • 2004Application of kriging method to structural reliability problems709 cited
  • 2012A combined Importance Sampling and Kriging reliability method for small failure probabilities with time-demanding numerical models692 cited
  • 2013Metamodel-based importance sampling for structural reliability analysis535 cited
  • 2011Review of uncertainty-based multidisciplinary design optimization methods for aerospace vehicles516 cited
  • 2013Imprecise probabilities in engineering analyses505 cited
  • 2015MCMC algorithms for Subset Simulation413 cited
  • 2005Reliability-based design sensitivity by efficient simulation330 cited
  • 2016Regression and Kriging metamodels with their experimental designs in simulation: A review325 cited
  • 2020Probabilistic modeling of uncertainties in fatigue reliability analysis of turbine bladed disks208 cited
  • 2011Likelihood-based representation of epistemic uncertainty due to sparse point data and/or interval data156 cited

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2019
Adaptive kriging-based efficient reliability method for structural systems with multiple failure modes and mixed variables
150 cited
  • 2006A goodness of fit test for copulas based on Rosenblatt's transformation131 cited
  • Cited by

    • 2023A novel training point selection strategy guided by the maximum reduction of structural state misclassification probability for time-dependent reliability analysis15 cited
    • 2024Meta model-based importance sampling combined with adaptive Kriging method for estimating failure probability function15 cited
    • 2023A novel single-loop Kriging importance sampling method for estimating failure probability upper bound under random-interval mixed uncertainties12 cited
    • 2024AOK‐ES: Adaptive optimized Kriging combining efficient sampling for structural reliability analysis11 cited