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A fast-convergence algorithm for reliability analysis based on the AK-MCS
16 references·15 citing·31 second hop
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References

  • 2002The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations4,821 cited
  • 2011AK-MCS: An active learning reliability method combining Kriging and Monte Carlo Simulation2,048 cited
  • 2007Kriging metamodeling in simulation: A review1,278 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
  • 2001Reliability analysis—a review and some perspectives775 cited
  • 2012A combined Importance Sampling and Kriging reliability method for small failure probabilities with time-demanding numerical models692 cited
  • 2013Metamodel-based importance sampling for structural reliability analysis535 cited
  • 1988Adaptive sampling — an iterative fast Monte Carlo procedure464 cited
  • 2016LIF: A new Kriging based learning function and its application to structural reliability analysis444 cited
  • 2015A new learning function for Kriging and its applications to solve reliability problems in engineering400 cited
  • 2015POLYNOMIAL-CHAOS-BASED KRIGING398 cited
  • 2019REIF: A novel active-learning function toward adaptive Kriging surrogate models for structural reliability analysis297 cited
  • 2016Rare Event Estimation Using Polynomial-Chaos Kriging

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279 cited
  • 2014An improved adaptive kriging-based importance technique for sampling multiple failure regions of low probability278 cited
  • 2006Chapter 18 Metamodel-Based Simulation Optimization265 cited
  • Cited by

    • 2021Surrogate assisted active subspace and active subspace assisted surrogate—A new paradigm for high dimensional structural reliability analysis37 cited
    • 2023AGP-MCS+D: An active learning reliability analysis method combining dependent Gaussian process and Monte Carlo simulation36 cited
    • 2023An efficient sequential anisotropic RBF reliability analysis method with fast cross-validation and parallelizability36 cited
    • 2023P-AK-MCS: Parallel AK-MCS method for structural reliability analysis34 cited
    • 2022A novel hybrid adaptive scheme for Kriging-based reliability estimation – A comparative study32 cited
    • 2022Ensemble of metamodels-assisted probability density evolution method for structural reliability analysis32 cited
    • 2023CSP-free adaptive Kriging surrogate model method for reliability analysis with small failure probability26 cited
    • 2025Surrogate modeling for probability distribution estimation: Uniform or adaptive design?18 cited
    • 2022AK-HMC-IS: A Novel Importance Sampling Method for Efficient Reliability Analysis Based on Active Kriging and Hybrid Monte Carlo Algorithm15 cited
    • 2024Parallel active learning reliability analysis: A multi-point look-ahead paradigm15 cited
    • 2023Sampling-based adaptive design strategy for failure probability estimation13 cited
    • 2023Non-probabilistic credible set model for structural uncertainty quantification9 cited
    • 2024Method of non-stationary random vibration reliability of hydro-turbine generator unit8 cited
    • 2022An efficient method for predictive-failure-probability-based global sensitivity analysis8 cited
    • 2023Failure probability estimation and detection of failure surfaces via adaptive sequential decomposition of the design domain8 cited