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An uncertainty propagation method for multimodal distributions through unimodal decomposition strategy
16 references·0 citing·44 second hop
An uncertainty propagation method for multimodal distributions through unimodal decomposition strategy (2023)An uncertainty propagation method for mul…Second-order reliability methods: a review and comparative study (2021)Second-order reliability meth…Reliability-based design optimization for RV reducer with experimental constraint (2021)Reliability-based design opti…On reliability analysis method through rotational sparse grid nodes (2020)On reliability analysis metho…Bayesian sparse polynomial chaos expansion for global sensitivity analysis (2017)Bayesian sparse polynomial ch…SAMBA: Sparse Approximation of Moment-Based Arbitrary Polynomial Chaos (2016)SAMBA: Sparse Approximation o…An incremental shifting vector approach for reliability-based design optimization (2015)An incremental shifting vecto…Adaptive estimation of statistical moments of the responses of random systems (2015)Adaptive estimation of statis…Data-driven uncertainty quantification using the arbitrary polynomial chaos expansion (2012)Data-driven uncertainty quant…Assessing small failure probabilities by combined subset simulation and Support Vector Machines (2011)Assessing small failure proba…A Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data (2008)A Sparse Grid Stochastic Coll…Saddlepoint Approximation for Sequential Optimization and Reliability Analysis (2007)Saddlepoint Approximation for…A univariate dimension-reduction method for multi-dimensional integration in stochastic mechanics (2004)A univariate dimension-reduct…A generalized dimension‐reduction method for multidimensional integration in stochastic mechanics (2004)A generalized dimension‐reduc…Estimation of small failure probabilities in high dimensions by subset simulation (2001)Estimation of small failure p…A concept paper on dynamic reliability via Monte Carlo simulation (1998)A concept paper on dynamic re…Continuous univariate distributions (1996)Continuous univariate distrib…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)A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (1979)Stochastic Finite Elements: A Spectral Approach (1991)A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (2000)A survey on approaches for reliability-based optimization (2010)Review of uncertainty-based multidisciplinary design optimization methods for aerospace vehicles (2011)Reliability analysis—a review and some perspectives (2001)A critical appraisal of reliability estimation procedures for high dimensions (2004)Assessing small failure probabilities by AK–SS: An active learning method combining Kriging and Subset Simulation (2016)LIF: A new Kriging based learning function and its application to structural reliability analysis (2016)Machine learning-based methods in structural reliability analysis: A review (2021)The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)High-Order Collocation Methods for Differential Equations with Random Inputs (2005)Uncertainty Quantification and Polynomial Chaos Techniques in Computational Fluid Dynamics (2008)DAKOTA : a multilevel parallel object-oriented framework for design optimization, parameter estimation, uncertainty quantification, and sensitivity analysis. 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References

  • 2001Estimation of small failure probabilities in high dimensions by subset simulation2,419 cited
  • 2008A Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data942 cited
  • 2004A univariate dimension-reduction method for multi-dimensional integration in stochastic mechanics568 cited
  • 2012Data-driven uncertainty quantification using the arbitrary polynomial chaos expansion451 cited
  • 2004A generalized dimension‐reduction method for multidimensional integration in stochastic mechanics441 cited
  • 2011Assessing small failure probabilities by combined subset simulation and Support Vector Machines419 cited
  • 2017Bayesian sparse polynomial chaos expansion for global sensitivity analysis140 cited
  • 2021Second-order reliability methods: a review and comparative study113 cited
  • 1996Continuous univariate distributions103 cited
  • 2016SAMBA: Sparse Approximation of Moment-Based Arbitrary Polynomial Chaos100 cited
  • 1998A concept paper on dynamic reliability via Monte Carlo simulation94 cited
  • 2007Saddlepoint Approximation for Sequential Optimization and Reliability Analysis90 cited
  • 2015An incremental shifting vector approach for reliability-based design optimization81 cited
  • 2020On reliability analysis method through rotational sparse grid nodes

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75 cited
  • 2015Adaptive estimation of statistical moments of the responses of random systems73 cited
  • 2021Reliability-based design optimization for RV reducer with experimental constraint62 cited
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