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A point mapping strategy-based sparse grid integration method for statistical moments estimation and structural reliability analysis
16 references·4 citing·43 second hop
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this work references cited by second hop

References

  • 2007Global sensitivity analysis using polynomial chaos expansions2,547 cited
  • 2009Stochastic Dynamics of Structures923 cited
  • 2004A univariate dimension-reduction method for multi-dimensional integration in stochastic mechanics568 cited
  • 2004A generalized dimension‐reduction method for multidimensional integration in stochastic mechanics441 cited
  • 2013Structural reliability analysis based on the concepts of entropy, fractional moment and dimensional reduction method309 cited
  • 2017An efficient reliability method combining adaptive Support Vector Machine and Monte Carlo Simulation290 cited
  • 1989Probabilistic estimates for multivariate analyses227 cited
  • 2022A state-of-the-art review on uncertainty analysis of rotor systems166 cited
  • 2018A general failure-pursuing sampling framework for surrogate-based reliability analysis163 cited
  • 2018A combined projection-outline-based active learning Kriging and adaptive importance sampling method for hybrid reliability analysis with small failure probabilities144 cited
  • 2019An active learning method combining Kriging and accelerated chaotic single loop approach (AK-ACSLA) for reliability-based design optimization130 cited
  • 2009A new sparse grid based method for uncertainty propagation127 cited
  • 2017A hybrid self-adaptive conjugate first order reliability method for robust structural reliability analysis116 cited

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2018
A new bivariate dimension reduction method for efficient structural reliability analysis
115 cited
  • 2023An enhanced uniform simulation approach coupled with SVR for efficient structural reliability analysis100 cited
  • 2014A sparse grid stochastic collocation method for structural reliability analysis93 cited
  • Cited by

    • 2024Uniform importance sampling with rejection control for structural reliability analysis22 cited
    • 2024Refined dimension-reduction integration method for uncertainty propagation in stochastic systems: Estimation of statistical moments16 cited
    • 2025Structural reliability analysis based on fractional moments-based iterative maximum entropy method and multiplicative exact dimension reduction integration method14 cited
    • 2025A Bayesian piecewise fitting method for estimating probability distributions of performance functions10 cited