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AK-SEUR: An adaptive Kriging-based learning function for structural reliability analysis through sample-based expected uncertainty reduction
16 references·10 citing·29 second hop
AK-SEUR: An adaptive Kriging-based learning function for structural reliability analysis through sample-based expected uncertainty reduction (2023)AK-SEUR: An adaptive Kriging-based learni…Active learning for structural reliability: Survey, general framework and benchmark (2022)Active learning for structura…LIF: A new Kriging based learning function and its application to structural reliability analysis (2016)LIF: A new Kriging based lear…MCMC algorithms for Subset Simulation (2015)MCMC algorithms for Subset Si…A new learning function for Kriging and its applications to solve reliability problems in engineering (2015)A new learning function for K…UQLab: A Framework for Uncertainty Quantification in Matlab (2014)UQLab: A Framework for Uncert…A combined Importance Sampling and Kriging reliability method for small failure probabilities with time-demanding numerical models (2012)A combined Importance Samplin…AK-MCS: An active learning reliability method combining Kriging and Monte Carlo Simulation (2011)AK-MCS: An active learning re…Efficient Global Reliability Analysis for Nonlinear Implicit Performance Functions (2008)Efficient Global Reliability …Estimation of small failure probabilities in high dimensions by subset simulation (2001)Estimation of small failure p…A general procedure for first/second-order reliabilitymethod (FORM/SORM) (1999)A general procedure for first…Response‐Surface Approach for Reliability Analysis (1989)Response‐Surface Approach for…Design and Analysis of Computer Experiments (1989)Design and Analysis of Comput…Basic Analysis of Structural Safety (1983)Basic Analysis of Structural …Structural reliability under combined random load sequences (1978)Structural reliability under …Exact and Invariant Second-Moment Code Format (1974)Exact and Invariant Second-Mo…The intrinsic random functions and their applications (1973)The intrinsic random function…Two-stage failure probability function estimation method based on improved cross-entropy importance sampling and adaptive Kriging (2025)Two-stage failure probability…Sequential and adaptive probabilistic integration for structural reliability analysis (2025)Sequential and adaptive proba…A theoretically-consistent parallel enrichment strategy for Bayesian active learning reliability analysis (2025)A theoretically-consistent pa…A novel multi-constraint SVR surrogate model: Interactive reliability-based design optimization and case study (2025)A novel multi-constraint SVR …Vibration response-based time-variant reliability and sensitivity analysis of rolling bearings using the first-passage method (2024)Vibration response-based time…rLSTM-AE for dimension reduction and its application to active learning-based dynamic reliability analysis (2024)rLSTM-AE for dimension reduct…Comparison of probabilistic structural reliability methods for ultimate limit state assessment of wind turbines (2024)Comparison of probabilistic s…AK-Gibbs: An active learning Kriging model based on Gibbs importance sampling algorithm for small failure probabilities (2024)AK-Gibbs: An active learning …Adaptive Kriging-based method with learning function allocation scheme and hybrid convergence criterion for efficient structural reliability analysis (2024)Adaptive Kriging-based method…A novel global prediction framework for multi-response models in reliability engineering using adaptive sampling and active subspace methods (2024)A novel global prediction fra…Simulation and the Monte Carlo Method (1981)The stochastic finite element method: Past, present and future (2008)The generalization of Latin hypercube sampling (2015)Simulation and the Monte Carlo Method (2016)Stochastic Finite Elements: A Spectral Approach (1991)Structural Reliability Methods (1996)Kriging metamodeling in simulation: A review (2007)Metamodel-based importance sampling for structural reliability analysis (2013)Probability Concepts in Engineering Planning and Design (1975)Statistics for Experimenters (1979)Moment methods for structural reliability (2001)The equivalent extreme-value event and evaluation of the structural system reliability (2006)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)Global sensitivity analysis using polynomial chaos expansions (2007)Adaptive sparse polynomial chaos expansion based on least angle regression (2010)An active-learning algorithm that combines sparse polynomial chaos expansions and bootstrap for structural reliability analysis (2018)The Future of Sensitivity Analysis: An essential discipline for systems modeling and policy support (2020)Toward SALib 2.0: Advancing the accessibility and interpretability of global sensitivity analyses (2022)Narrow Reliability Bounds for Structural Systems (1979)Latin hypercube sampling and the propagation of uncertainty in analyses of complex systems (2003)Sequential Optimization and Reliability Assessment Method for Efficient Probabilistic Design (2004)Variance based sensitivity analysis of model output. Design and estimator for the total sensitivity index (2009)Taking the Human Out of the Loop: A Review of Bayesian Optimization (2015)Assessing small failure probabilities by AK–SS: An active learning method combining Kriging and Subset Simulation (2016)On conditional and intrinsic autoregressions (1995)Geostatistical Space–Time Models: A Review (1999)
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References

  • 1989Design and Analysis of Computer Experiments6,958 cited
  • 1974Exact and Invariant Second-Moment Code Format3,138 cited
  • 2001Estimation of small failure probabilities in high dimensions by subset simulation2,419 cited
  • 1978Structural reliability under combined random load sequences2,229 cited
  • 2011AK-MCS: An active learning reliability method combining Kriging and Monte Carlo Simulation2,048 cited
  • 1973The intrinsic random functions and their applications1,499 cited
  • 2008Efficient Global Reliability Analysis for Nonlinear Implicit Performance Functions1,141 cited
  • 2014UQLab: A Framework for Uncertainty Quantification in Matlab1,018 cited
  • 2012A combined Importance Sampling and Kriging reliability method for small failure probabilities with time-demanding numerical models692 cited
  • 1989Response‐Surface Approach for Reliability Analysis626 cited
  • 1983Basic Analysis of Structural Safety530 cited
  • 1999A general procedure for first/second-order reliabilitymethod (FORM/SORM)487 cited
  • 2016LIF: A new Kriging based learning function and its application to structural reliability analysis444 cited
  • 2015MCMC algorithms for Subset Simulation413 cited
  • 2015A new learning function for Kriging and its applications to solve reliability problems in engineering

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400 cited
  • 2022Active learning for structural reliability: Survey, general framework and benchmark282 cited
  • Cited by

    • 2025A theoretically-consistent parallel enrichment strategy for Bayesian active learning reliability analysis23 cited
    • 2024A novel global prediction framework for multi-response models in reliability engineering using adaptive sampling and active subspace methods19 cited
    • 2024AK-Gibbs: An active learning Kriging model based on Gibbs importance sampling algorithm for small failure probabilities19 cited
    • 2024rLSTM-AE for dimension reduction and its application to active learning-based dynamic reliability analysis17 cited
    • 2025Sequential and adaptive probabilistic integration for structural reliability analysis17 cited
    • 2024Vibration response-based time-variant reliability and sensitivity analysis of rolling bearings using the first-passage method14 cited
    • 2025A novel multi-constraint SVR surrogate model: Interactive reliability-based design optimization and case study14 cited
    • 2024Comparison of probabilistic structural reliability methods for ultimate limit state assessment of wind turbines13 cited
    • 2024Adaptive Kriging-based method with learning function allocation scheme and hybrid convergence criterion for efficient structural reliability analysis12 cited
    • 2025Two-stage failure probability function estimation method based on improved cross-entropy importance sampling and adaptive Kriging12 cited