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A new active-learning estimation method for the failure probability of structural reliability based on Kriging model and simple penalty function
16 references·8 citing·29 second hop
A new active-learning estimation method for the failure probability of structural reliability based on Kriging model and simple penalty function (2023)A new active-learning estimation method f…Active learning for structural reliability: Survey, general framework and benchmark (2022)Active learning for structura…Machine learning-based methods in structural reliability analysis: A review (2021)Machine learning-based method…REIF: A novel active-learning function toward adaptive Kriging surrogate models for structural reliability analysis (2019)REIF: A novel active-learning…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…An active learning kriging model for hybrid reliability analysis with both random and interval variables (2014)An active learning kriging mo…Meta-models for Structural Reliability and Uncertainty Quantification (2012)Meta-models for Structural Re…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…Adaptive sparse polynomial chaos expansion based on least angle regression (2010)Adaptive sparse polynomial ch…Efficient Global Reliability Analysis for Nonlinear Implicit Performance Functions (2008)Efficient Global Reliability …Structural reliability analysis for implicit performance functions using artificial neural network (2004)Structural reliability analys…Comparison of response surface and neural network with other methods for structural reliability analysis (2003)Comparison of response surfac…A fast and efficient response surface approach for structural reliability problems (1990)A fast and efficient response…AEK-MFIS: An adaptive ensemble of Kriging models based on multi-fidelity simulations and importance sampling for small failure probabilities (2025)AEK-MFIS: An adaptive ensembl…Adaptive Kriging-assisted multi-fidelity subset simulation for reliability analysis (2025)Adaptive Kriging-assisted mul…A novel active learning reliability analysis method based on ensemble of Kriging models and importance sampling for small failure probabilities (2025)A novel active learning relia…Surrogate model uncertainty quantification for active learning reliability analysis (2024)Surrogate model uncertainty q…Quantified active learning Kriging model for structural reliability analysis (2024)Quantified active learning Kr…AK-Gibbs: An active learning Kriging model based on Gibbs importance sampling algorithm for small failure probabilities (2024)AK-Gibbs: An active learning …A novel active learning Kriging based on improved Metropolis-Hastings and importance sampling for small failure probabilities (2024)A novel active learning Krigi…Look-ahead active learning reliability analysis based on stepwise margin reduction (2023)Look-ahead active learning re…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)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)A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (2000)The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)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)Reliability analysis—a review and some perspectives (2001)A critical appraisal of reliability estimation procedures for high dimensions (2004)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)Simulation and the Monte Carlo Method (2016)The intrinsic random functions and their applications (1973)A new adaptive sequential sampling method to construct surrogate models for efficient reliability analysis (2017)Structural Reliability Analysis and Prediction (2017)An enhanced uniform simulation approach coupled with SVR for efficient structural reliability analysis (2023)Monte Carlo and variance reduction methods for structural reliability analysis: A comprehensive review (2023)A survey on machine learning approaches for uncertainty quantification of engineering systems (2025)
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References

  • 2011AK-MCS: An active learning reliability method combining Kriging and Monte Carlo Simulation2,048 cited
  • 2010Adaptive sparse polynomial chaos expansion based on least angle regression1,507 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
  • 2012A combined Importance Sampling and Kriging reliability method for small failure probabilities with time-demanding numerical models692 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
  • 2021Machine learning-based methods in structural reliability analysis: A review370 cited
  • 2019REIF: A novel active-learning function toward adaptive Kriging surrogate models for structural reliability analysis297 cited
  • 2003Comparison of response surface and neural network with other methods for structural reliability analysis284 cited
  • 2022Active learning for structural reliability: Survey, general framework and benchmark

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282 cited
  • 2004Structural reliability analysis for implicit performance functions using artificial neural network279 cited
  • 2014An active learning kriging model for hybrid reliability analysis with both random and interval variables213 cited
  • 2012Meta-models for Structural Reliability and Uncertainty Quantification181 cited
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    • 2024Quantified active learning Kriging model for structural reliability analysis21 cited
    • 2024AK-Gibbs: An active learning Kriging model based on Gibbs importance sampling algorithm for small failure probabilities19 cited
    • 2024Surrogate model uncertainty quantification for active learning reliability analysis17 cited
    • 2025AEK-MFIS: An adaptive ensemble of Kriging models based on multi-fidelity simulations and importance sampling for small failure probabilities14 cited
    • 2024A novel active learning Kriging based on improved Metropolis-Hastings and importance sampling for small failure probabilities13 cited
    • 2025A novel active learning reliability analysis method based on ensemble of Kriging models and importance sampling for small failure probabilities9 cited