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Failure probability function estimation in augmented sample space combined active learning Kriging and adaptive sampling by Voronoi cells

16 references·4 citing·45 second hopsampled

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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
2013Imprecise probabilities in engineering analyses505 cited
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2015A new learning function for Kriging and its applications to solve reliability problems in engineering400 cited
2005Reliability-based design sensitivity by efficient simulation330 cited
2004Application-driven sequential designs for simulation experiments: Kriging metamodelling281 cited
2014Efficient structural reliability analysis method based on advanced Kriging model188 cited
2018A general failure-pursuing sampling framework for surrogate-based reliability analysis163 cited
2006Local estimation of failure probability function and its confidence interval with maximum entropy principle129 cited
2017Adaptive sparse polynomial chaos expansions for global sensitivity analysis based on support vector regression126 cited
2021AKSE: A novel adaptive Kriging method combining sampling region scheme and error-based stopping criterion for structural reliability analysis116 cited
2016Reliability analysis under epistemic uncertainty114 cited
2019

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Non-intrusive stochastic analysis with parameterized imprecise probability models: I. Performance estimation

87 cited

2019An active failure-pursuing Kriging modeling method for time-dependent reliability analysis87 cited

2019Non-intrusive stochastic analysis with parameterized imprecise probability models: II. Reliability and rare events analysis80 cited

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2025A random interval coupling-based active learning Kriging with meta-model importance sampling method for hybrid reliability analysis under small failure probability15 cited
2025Two-stage failure probability function estimation method based on improved cross-entropy importance sampling and adaptive Kriging12 cited