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CSP-free adaptive Kriging surrogate model method for reliability analysis with small failure probability
16 references·2 citing·25 second hopsampled
CSP-free adaptive Kriging surrogate model method for reliability analysis with small failure probability (2023)CSP-free adaptive Kriging surrogate model…A review and assessment of importance sampling methods for reliability analysis (2022)A review and assessment of im…REIF: A novel active-learning function toward adaptive Kriging surrogate models for structural reliability analysis (2019)REIF: A novel active-learning…An efficient reliability method combining adaptive Support Vector Machine and Monte Carlo Simulation (2017)An efficient reliability meth…A new adaptive sequential sampling method to construct surrogate models for efficient reliability analysis (2017)A new adaptive sequential sam…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…Review and application of Artificial Neural Networks models in reliability analysis of steel structures (2014)Review and application of Art…An improved adaptive kriging-based importance technique for sampling multiple failure regions of low probability (2014)An improved adaptive kriging-…AK-SYS: An adaptation of the AK-MCS method for system reliability (2013)AK-SYS: An adaptation of the …A combined Importance Sampling and Kriging reliability method for small failure probabilities with time-demanding numerical models (2012)A combined Importance Samplin…Assessing small failure probabilities by combined subset simulation and Support Vector Machines (2011)Assessing small failure proba…AK-MCS: An active learning reliability method combining Kriging and Monte Carlo Simulation (2011)AK-MCS: An active learning re…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 new adaptive importance sampling scheme for reliability calculations (1999)A new adaptive importance sam…A hybrid approach of adaptive surrogate model and sampling method for reliability assessment in multidisciplinary design optimization (2025)A hybrid approach of adaptive…A physics-informed neural network enhanced importance sampling (PINN-IS) for data-free reliability analysis (2024)A physics-informed neural net…Structural reliability under combined random load sequences (1978)Stochastic Finite Elements: A Spectral Approach (1991)Estimation of small failure probabilities in high dimensions by subset simulation (2001)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)Simulation and the Monte Carlo Method (1981)Optimization algorithms for structural reliability (1991)Metamodel-based importance sampling for structural reliability analysis (2013)MCMC algorithms for Subset Simulation (2015)Simulation and the Monte Carlo Method (2016)Structural Reliability Methods (1996)Kriging metamodeling in simulation: A review (2007)Exact and Invariant Second-Moment Code Format (1974)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)Reliability analysis—a review and some perspectives (2001)A critical appraisal of reliability estimation procedures for high dimensions (2004)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)The intrinsic random functions and their applications (1973)
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References

  • 2011AK-MCS: An active learning reliability method combining Kriging and Monte Carlo Simulation2,048 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
  • 2012A combined Importance Sampling and Kriging reliability method for small failure probabilities with time-demanding numerical models692 cited
  • 1999A new adaptive importance sampling scheme for reliability calculations564 cited
  • 2016LIF: A new Kriging based learning function and its application to structural reliability analysis444 cited
  • 2011Assessing small failure probabilities by combined subset simulation and Support Vector Machines419 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
  • 2014Review and application of Artificial Neural Networks models in reliability analysis of steel structures392 cited
  • 2017A new adaptive sequential sampling method to construct surrogate models for efficient reliability analysis317 cited
  • 2019REIF: A novel active-learning function toward adaptive Kriging surrogate models for structural reliability analysis297 cited
  • 2017An efficient reliability method combining adaptive Support Vector Machine and Monte Carlo Simulation

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290 cited
  • 2014An improved adaptive kriging-based importance technique for sampling multiple failure regions of low probability278 cited
  • 2013AK-SYS: An adaptation of the AK-MCS method for system reliability277 cited
  • 2022A review and assessment of importance sampling methods for reliability analysis273 cited
  • Cited by

    • 2025A hybrid approach of adaptive surrogate model and sampling method for reliability assessment in multidisciplinary design optimization21 cited
    • 2024A physics-informed neural network enhanced importance sampling (PINN-IS) for data-free reliability analysis20 cited