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A novel random-interval hybrid reliability analysis method combining active learning Kriging and two-phase subset simulation
16 references·2 citing·35 second hop
A novel random-interval hybrid reliability analysis method combining active learning Kriging and two-phase subset simulation (2024)A novel random-interval hybrid reliabilit…Support vector machine in structural reliability analysis: A review (2023)Support vector machine in str…Active learning for structural reliability: Survey, general framework and benchmark (2022)Active learning for structura…A review and assessment of importance sampling methods for reliability analysis (2022)A review and assessment of im…Machine learning-based methods in structural reliability analysis: A review (2021)Machine learning-based method…Adaptive approaches in metamodel-based reliability analysis: A review (2020)Adaptive approaches in metamo…Surrogate-assisted reliability-based design optimization: a survey and a unified modular framework (2019)Surrogate-assisted reliabilit…An active learning kriging model for hybrid reliability analysis with both random and interval variables (2014)An active learning kriging mo…Metamodel-based importance sampling for structural reliability analysis (2013)Metamodel-based importance sa…Bayesian post-processor and other enhancements of Subset Simulation for estimating failure probabilities in high dimensions (2011)Bayesian post-processor and o…AK-MCS: An active learning reliability method combining Kriging and Monte Carlo Simulation (2011)AK-MCS: An active learning re…Reliability sensitivity analysis with random and interval variables (2009)Reliability sensitivity analy…Unified Uncertainty Analysis by the First Order Reliability Method (2008)Unified Uncertainty Analysis …Aleatory or epistemic? Does it matter? (2008)Aleatory or epistemic? Does i…Reliability-Based Design With the Mixture of Random and Interval Variables (2005)Reliability-Based Design With…Estimation of small failure probabilities in high dimensions by subset simulation (2001)Estimation of small failure p…A new adaptive importance sampling scheme for reliability calculations (1999)A new adaptive importance sam…Machine learning-based enhanced Monte Carlo simulation for low failure probability structural reliability analysis (2025)Machine learning-based enhanc…Adaptive Kriging-based probabilistic subset simulation method for structural reliability problems with small failure probabilities (2024)Adaptive Kriging-based probab…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)Optimization algorithms for structural reliability (1991)A critical appraisal of reliability estimation procedures for high dimensions (2004)MCMC algorithms for Subset Simulation (2015)Stochastic Finite Elements: A Spectral Approach (1991)Structural Reliability Methods (1996)Kriging metamodeling in simulation: A review (2007)LIF: A new Kriging based learning function and its application to structural reliability analysis (2016)The Logic of Scientific Discovery. (1960)Logic of Scientific Discovery, The (2010)Reliability-based design optimization using kriging surrogates and subset simulation (2011)Imprecise probabilities in engineering analyses (2013)Variable importance analysis: A comprehensive review (2015)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)A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (2000)POLYNOMIAL-CHAOS-BASED KRIGING (2015)Statistics for Experimenters (1979)Response Surface Methodology: Process and Product Optimization Using Designed Experiments (1996)Monte Carlo and variance reduction methods for structural reliability analysis: A comprehensive review (2023)The intrinsic random functions and their applications (1973)Structural Reliability Analysis and Prediction (2017)An enhanced uniform simulation approach coupled with SVR for efficient structural reliability analysis (2023)A survey on machine learning approaches for uncertainty quantification of engineering systems (2025)A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (1979)Active Kriging-based conjugate first-order reliability method for highly efficient structural reliability analysis using resample strategy (2024)Application of kriging method to structural reliability problems (2004)Structural reliability analysis based on improved wolf pack algorithm AK-SS (2023)Adaptive directed support vector machine method for the reliability evaluation of aeroengine structure (2024)Theory and application of possibility and evidence in reliability analysis and design optimization (2025)A novel Kriging-model-assisted reliability-based multidisciplinary design optimization strategy and its application in the offshore wind turbine tower (2022)
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References

  • 2008Aleatory or epistemic? Does it matter?2,450 cited
  • 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
  • 1999A new adaptive importance sampling scheme for reliability calculations564 cited
  • 2013Metamodel-based importance sampling for structural reliability analysis535 cited
  • 2023Support vector machine in structural reliability analysis: A review507 cited
  • 2021Machine learning-based methods in structural reliability analysis: A review370 cited
  • 2022Active learning for structural reliability: Survey, general framework and benchmark282 cited
  • 2020Adaptive approaches in metamodel-based reliability analysis: A review280 cited
  • 2022A review and assessment of importance sampling methods for reliability analysis273 cited
  • 2008Unified Uncertainty Analysis by the First Order Reliability Method249 cited
  • 2005Reliability-Based Design With the Mixture of Random and Interval Variables247 cited
  • 2011Bayesian post-processor and other enhancements of Subset Simulation for estimating failure probabilities in high dimensions213 cited
  • 2014An active learning kriging model for hybrid reliability analysis with both random and interval variables

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213 cited
  • 2019Surrogate-assisted reliability-based design optimization: a survey and a unified modular framework213 cited
  • 2009Reliability sensitivity analysis with random and interval variables171 cited
  • Cited by

    • 2025Machine learning-based enhanced Monte Carlo simulation for low failure probability structural reliability analysis15 cited
    • 2024Adaptive Kriging-based probabilistic subset simulation method for structural reliability problems with small failure probabilities12 cited