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Accelerating subset simulation with surrogate model ensuring unbiased failure probability estimation
16 references·0 citing·36 second hop
Accelerating subset simulation with surrogate model ensuring unbiased failure probability estimation (2025)Accelerating subset simulation with surro…Kriging-assisted hybrid reliability design and optimization of offshore wind turbine support structure based on a portfolio allocation strategy (2024)Kriging-assisted hybrid relia…ESC: an efficient error-based stopping criterion for kriging-based reliability analysis methods (2018)ESC: an efficient error-based…LIF: A new Kriging based learning function and its application to structural reliability analysis (2016)LIF: A new Kriging based lear…Probability density evolution method: Background, significance and recent developments (2015)Probability density evolution…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…AK-MCS: An active learning reliability method combining Kriging and Monte Carlo Simulation (2011)AK-MCS: An active learning re…An adaptive algorithm to build up sparse polynomial chaos expansions for stochastic finite element analysis (2009)An adaptive algorithm to buil…Subset simulation for structural reliability sensitivity analysis (2008)Subset simulation for structu…Efficient Global Reliability Analysis for Nonlinear Implicit Performance Functions (2008)Efficient Global Reliability …A critical appraisal of reliability estimation procedures for high dimensions (2004)A critical appraisal of relia…Estimation of small failure probabilities in high dimensions by subset simulation (2001)Estimation of small failure p…Directional methods for structural reliability analysis (2000)Directional methods for struc…A fast and efficient response surface approach for structural reliability problems (1990)A fast and efficient response…A critical appraisal of methods to determine failure probabilities (1987)A critical appraisal of metho…Non-Normal Dependent Vectors in Structural Safety (1981)Non-Normal Dependent Vectors …Reliability analysis—a review and some perspectives (2001)On Latin hypercube sampling for structural reliability analysis (2002)A survey on approaches for reliability-based optimization (2010)Assessing small failure probabilities by combined subset simulation and Support Vector Machines (2011)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)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)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)Narrow Reliability Bounds for Structural Systems (1979)The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)Global sensitivity analysis using polynomial chaos expansions (2007)Reliability-based design optimization using kriging surrogates and subset simulation (2011)Structural reliability under combined random load sequences (1978)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)The intrinsic random functions and their applications (1973)A new adaptive sequential sampling method to construct surrogate models for efficient reliability analysis (2017)REIF: A novel active-learning function toward adaptive Kriging surrogate models for structural reliability analysis (2019)Machine learning-based methods in structural reliability analysis: A review (2021)Simulation and the Monte Carlo Method (2007)Bayesian Updating with Structural Reliability Methods (2014)Sequential importance sampling for structural reliability analysis (2016)Monte Carlo and variance reduction methods for structural reliability analysis: A comprehensive review (2023)First-order concepts in system reliability (1982)Second‐Order Reliability Approximations (1987)The stochastic finite element method in structural reliability (1988)
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References

  • 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
  • 1990A fast and efficient response surface approach for structural reliability problems1,198 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
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  • 2016LIF: A new Kriging based learning function and its application to structural reliability analysis444 cited
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  • 2015MCMC algorithms for Subset Simulation413 cited
  • 2015A new learning function for Kriging and its applications to solve reliability problems in engineering400 cited
  • 2008Subset simulation for structural reliability sensitivity analysis284 cited
  • 2000Directional methods for structural reliability analysis278 cited
  • 2015Probability density evolution method: Background, significance and recent developments

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217 cited
  • 2024Kriging-assisted hybrid reliability design and optimization of offshore wind turbine support structure based on a portfolio allocation strategy192 cited
  • 2018ESC: an efficient error-based stopping criterion for kriging-based reliability analysis methods180 cited
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