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Adaptive Kriging-based failure probability estimation for multiple responses
16 references·11 citing·34 second hop
Adaptive Kriging-based failure probability estimation for multiple responses (2022)Adaptive Kriging-based failure probabilit…ESC: an efficient error-based stopping criterion for kriging-based reliability analysis methods (2018)ESC: an efficient error-based…AK-MCSi: A Kriging-based method to deal with small failure probabilities and time-consuming models (2018)AK-MCSi: A Kriging-based meth…Rare-event probability estimation with adaptive support vector regression surrogates (2016)Rare-event probability estima…LIF: A new Kriging based learning function and its application to structural reliability analysis (2016)LIF: A new Kriging based lear…Assessing small failure probabilities by AK–SS: An active learning method combining Kriging and Subset Simulation (2016)Assessing small failure proba…A new learning function for Kriging and its applications to solve reliability problems in engineering (2015)A new learning function for K…AK-MCS: An active learning reliability method combining Kriging and Monte Carlo Simulation (2011)AK-MCS: An active learning re…A Second-Order Reliability Method With First-Order Efficiency (2010)A Second-Order Reliability Me…An adaptive algorithm to build up sparse polynomial chaos expansions for stochastic finite element analysis (2009)An adaptive algorithm to buil…Efficient Global Reliability Analysis for Nonlinear Implicit Performance Functions (2008)Efficient Global Reliability …A critical appraisal of reliability estimation procedures for high dimensions (2004)A critical appraisal of relia…Estimation of small failure probabilities in high dimensions by subset simulation (2001)Estimation of small failure p…Directional methods for structural reliability analysis (2000)Directional methods for struc…General multi-dimensional probability integration by directional simulation (1990)General multi-dimensional pro…A fast and efficient response surface approach for structural reliability problems (1990)A fast and efficient response…A critical appraisal of methods to determine failure probabilities (1987)A critical appraisal of metho…Surrogate modeling for probability distribution estimation: Uniform or adaptive design? (2025)Surrogate modeling for probab…Reliability assessment of offshore wind turbine gears under multiple failure modes using deeply coupled adaptive Kriging based-generalized subset simulation (2025)Reliability assessment of off…Accelerating subset simulation with surrogate model ensuring unbiased failure probability estimation (2025)Accelerating subset simulatio…Incremental learning of parameter spaces in machine-learning based reliability analysis (2024)Incremental learning of param…Expected lifetime prediction for time- and space-dependent structural systems based on active learning surrogate model (2024)Expected lifetime prediction …Structural reliability analysis based on neural networks with physics-informed training samples (2023)Structural reliability analys…General partial safety factor theory for the assessment of the reliability of nonlinear structural systems (2023)General partial safety factor…First-order reliability method to problems involving multimodal distributions (2023)First-order reliability metho…CSP-free adaptive Kriging surrogate model method for reliability analysis with small failure probability (2023)CSP-free adaptive Kriging sur…An integrated methodology applied for reliability based multi-disciplinary design optimization in EPFE with LOX/kerosene (2023)An integrated methodology app…An error-based stopping criterion for spherical decomposition-based adaptive Kriging model and rare event estimation (2023)An error-based stopping crite…Structural reliability under combined random load sequences (1978)Stochastic Finite Elements: A Spectral Approach (1991)Adaptive approaches in metamodel-based reliability analysis: A review (2020)Machine learning-based methods in structural reliability analysis: A review (2021)Active learning for structural reliability: Survey, general framework and benchmark (2022)Reliability analysis—a review and some perspectives (2001)On Latin hypercube sampling for structural reliability analysis (2002)A survey on approaches for reliability-based optimization (2010)Assessing small failure probabilities by combined subset simulation and Support Vector Machines (2011)MCMC algorithms for Subset Simulation (2015)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)Structural Reliability Methods (1996)Kriging metamodeling in simulation: A review (2007)Metamodel-based importance sampling for structural reliability analysis (2013)A new look at the response surface approach for reliability analysis (1993)Response Surface Methodology (1996)Moment methods for structural reliability (2001)Application of kriging method to structural reliability problems (2004)Narrow Reliability Bounds for Structural Systems (1979)The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)Global sensitivity analysis using polynomial chaos expansions (2007)Reliability-based design optimization using kriging surrogates and subset simulation (2011)Designs for Computer Experiments (1989)Probability, reliability and statistical methods in engineering design (1999)DAKOTA : a multilevel parallel object-oriented framework for design optimization, parameter estimation, uncertainty quantification, and sensitivity analysis. Version 5.0, user's manual. (2010)Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (1979)A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (2000)The intrinsic random functions and their applications (1973)A new adaptive sequential sampling method to construct surrogate models for efficient reliability analysis (2017)REIF: A novel active-learning function toward adaptive Kriging surrogate models for structural reliability analysis (2019)
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References

  • 2001Estimation of small failure probabilities in high dimensions by subset simulation2,419 cited
  • 2011AK-MCS: An active learning reliability method combining Kriging and Monte Carlo Simulation2,048 cited
  • 1990A fast and efficient response surface approach for structural reliability problems1,198 cited
  • 2008Efficient Global Reliability Analysis for Nonlinear Implicit Performance Functions1,141 cited
  • 2009An adaptive algorithm to build up sparse polynomial chaos expansions for stochastic finite element analysis834 cited
  • 2004A critical appraisal of reliability estimation procedures for high dimensions476 cited
  • 2016LIF: A new Kriging based learning function and its application to structural reliability analysis444 cited
  • 1987A critical appraisal of methods to determine failure probabilities436 cited
  • 2016Assessing small failure probabilities by AK–SS: An active learning method combining Kriging and Subset Simulation412 cited
  • 2015A new learning function for Kriging and its applications to solve reliability problems in engineering400 cited
  • 2000Directional methods for structural reliability analysis278 cited
  • 2018AK-MCSi: A Kriging-based method to deal with small failure probabilities and time-consuming models218 cited
  • 2016Rare-event probability estimation with adaptive support vector regression surrogates210 cited
  • 2018

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ESC: an efficient error-based stopping criterion for kriging-based reliability analysis methods
180 cited
  • 1990General multi-dimensional probability integration by directional simulation163 cited
  • 2010A Second-Order Reliability Method With First-Order Efficiency130 cited
  • Cited by

    • 2023Structural reliability analysis based on neural networks with physics-informed training samples26 cited
    • 2023CSP-free adaptive Kriging surrogate model method for reliability analysis with small failure probability26 cited
    • 2023An error-based stopping criterion for spherical decomposition-based adaptive Kriging model and rare event estimation20 cited
    • 2025Surrogate modeling for probability distribution estimation: Uniform or adaptive design?18 cited
    • 2023General partial safety factor theory for the assessment of the reliability of nonlinear structural systems16 cited
    • 2024Incremental learning of parameter spaces in machine-learning based reliability analysis16 cited
    • 2023An integrated methodology applied for reliability based multi-disciplinary design optimization in EPFE with LOX/kerosene14 cited
    • 2023First-order reliability method to problems involving multimodal distributions13 cited
    • 2024Expected lifetime prediction for time- and space-dependent structural systems based on active learning surrogate model13 cited
    • 2025Reliability assessment of offshore wind turbine gears under multiple failure modes using deeply coupled adaptive Kriging based-generalized subset simulation8 cited
    • 2025Accelerating subset simulation with surrogate model ensuring unbiased failure probability estimation8 cited