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Geometric insight into the challenges of solving high-dimensional reliability problems
2 references·16 citing·39 second hop
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References

  • 2001Estimation of small failure probabilities in high dimensions by subset simulation2,419 cited
  • 2002Important sampling in high dimensions375 cited

Cited by

  • 2015Cross-entropy-based adaptive importance sampling using von Mises-Fisher mixture for high dimensional reliability analysis131 cited
  • 2019Improved cross entropy-based importance sampling with a flexible mixture model119 cited
  • 2009The role of the design point for calculating failure probabilities in view of dimensionality and structural nonlinearities112 cited
  • 2016Reliability analysis with Metamodel Line Sampling103 cited
  • 2013Reliability assessment in structural dynamics102 cited
  • 2017Bayesian updating and model class selection with Subset Simulation99 cited
  • 2009Uncertain linear systems in dynamics: Retrospective and recent developments by stochastic approaches93 cited
  • 2014A generalized Subset Simulation approach for estimating small failure probabilities of multiple stochastic responses93 cited
  • 2022Structural and System Reliability89 cited
  • 2009Efficient Monte Carlo simulation procedures in structural uncertainty and reliability analysis - recent advances85 cited
  • 2016Bayesian analysis of rare events85 cited
  • 2010Efficient strategies for reliability-based optimization involving non-linear, dynamical structures

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82 cited
  • 2015Rare event simulation in finite-infinite dimensional space75 cited
  • 2015A new sampling strategy for SVM-based response surface for structural reliability analysis73 cited
  • 2021Variance-based adaptive sequential sampling for Polynomial Chaos Expansion53 cited
  • 2018An efficient approach for high-dimensional structural reliability analysis53 cited