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Single-loop cross-entropy-based directional importance sampling for efficient estimation of failure probability function
16 references·0 citing·49 second hopsampled
Single-loop cross-entropy-based directional importance sampling for efficient estimation of failure probability function (2024)Single-loop cross-entropy-based direction…Rare event estimation with sequential directional importance sampling (2022)Rare event estimation with se…Cross-entropy-based directional importance sampling with von Mises-Fisher mixture model for reliability analysis (2021)Cross-entropy-based direction…Augmented line sampling for approximation of failure probability function in reliability-based analysis (2019)Augmented line sampling for a…An adaptive directional importance sampling method for structural reliability analysis (2017)An adaptive directional impor…Cross-entropy-based adaptive importance sampling using von Mises-Fisher mixture for high dimensional reliability analysis (2015)Cross-entropy-based adaptive …Structural reliability analysis based on the concepts of entropy, fractional moment and dimensional reduction method (2013)Structural reliability analys…Local estimation of failure probability function by weighted approach (2013)Local estimation of failure p…An adaptive directional importance sampling method for structural reliability (2010)An adaptive directional impor…Probabilistic uncertainty analysis by mean-value first order Saddlepoint Approximation (2007)Probabilistic uncertainty ana…A new artificial neural network-based response surface method for structural reliability analysis (2007)A new artificial neural netwo…Local estimation of failure probability function and its confidence interval with maximum entropy principle (2006)Local estimation of failure p…A direct decoupling approach for efficient reliability-based design optimization (2006)A direct decoupling approach …Reliability-based design sensitivity by efficient simulation (2005)Reliability-based design sens…Structural optimization of linear dynamical systems under stochastic excitation: a moving reliability database approach (2004)Structural optimization of li…Reliability-Based Optimization of structural systems (1997)Reliability-Based Optimizatio…Reliability-based optimization in structural engineering (1994)Reliability-based optimizatio…Structural reliability under combined random load sequences (1978)Probability, reliability and statistical methods in engineering design (1999)Sequential Optimization and Reliability Assessment Method for Efficient Probabilistic Design (2004)A local adaptive sampling method for reliability-based design optimization using Kriging model (2013)An adaptive decoupling approach for reliability-based design optimization (2013)Modeling, analysis, and optimization under uncertainties: a review (2021)Exact and Invariant Second-Moment Code Format (1974)A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (1979)A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (2000)First Order Saddlepoint Approximation for Reliability Analysis (2004)A Second-Order Reliability Method With First-Order Efficiency (2010)A Sampling Approach to Extreme Value Distribution for Time-Dependent Reliability Analysis (2013)Probability, statistics, and decision for civil engineers (1970)Estimation of small failure probabilities in high dimensions by subset simulation (2001)Methods of structural safety (2006)Stochastic Subset Optimization for optimal reliability problems (2008)Reliability-based optimization of stochastic systems using line search (2009)Reliability-based design optimization of structural systems under stochastic excitation: An overview (2021)Applied Statistical Decision Theory (1962)Computational methods in optimization considering uncertainties – An overview (2008)Benchmark study of numerical methods for reliability-based design optimization (2009)Reliability-based design optimization using kriging surrogates and subset simulation (2011)Safety and the Probability of Structural Failure (1956)Application of Structural Systems Reliability Theory (1986)A critical appraisal of methods to determine failure probabilities (1987)General foundations of high‐dimensional model representations (1999)Moment methods for structural reliability (2001)AKOIS: An adaptive Kriging oriented importance sampling method for structural system reliability analysis (2019)REIF: A novel active-learning function toward adaptive Kriging surrogate models for structural reliability analysis (2019)Recent Advances in Surrogate Modeling Methods for Uncertainty Quantification and Propagation (2022)Probabilistic Theory of Structural Dynamics (1976)Efficient strategies for reliability-based optimization involving non-linear, dynamical structures (2010)Rare event simulation in finite-infinite dimensional space (2015)A fast and efficient response surface approach for structural reliability problems (1990)A new look at the response surface approach for reliability analysis (1993)Application of kriging method to structural reliability problems (2004)Reliability analysis using radial basis function networks and support vector machines (2010)Surrogate model uncertainty quantification for reliability-based design optimization (2019)EMCS-SVR: Hybrid efficient and accurate enhanced simulation approach coupled with adaptive SVR for structural reliability analysis (2022)Subset simulation for structural reliability sensitivity analysis (2008)Reliability engineering (2011)Simulation and the Monte Carlo Method (2016)Structural Reliability Analysis and Prediction (2017)Monte Carlo and variance reduction methods for structural reliability analysis: A comprehensive review (2023)Structural Reliability Methods (1996)Simulation and the Monte Carlo Method (2007)Improved cross entropy-based importance sampling with a flexible mixture model (2019)An active learning method combining deep neural network and weighted sampling for structural reliability analysis (2020)Probability-Adaptive Kriging in n-Ball (PAK-Bn) for reliability analysis (2020)
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References

  • 1994Reliability-based optimization in structural engineering550 cited
  • 2005Reliability-based design sensitivity by efficient simulation330 cited
  • 2013Structural reliability analysis based on the concepts of entropy, fractional moment and dimensional reduction method309 cited
  • 2006A direct decoupling approach for efficient reliability-based design optimization197 cited
  • 2007Probabilistic uncertainty analysis by mean-value first order Saddlepoint Approximation185 cited
  • 1997Reliability-Based Optimization of structural systems182 cited
  • 2007A new artificial neural network-based response surface method for structural reliability analysis172 cited
  • 2015Cross-entropy-based adaptive importance sampling using von Mises-Fisher mixture for high dimensional reliability analysis131 cited
  • 2006Local estimation of failure probability function and its confidence interval with maximum entropy principle129 cited
  • 2004Structural optimization of linear dynamical systems under stochastic excitation: a moving reliability database approach107 cited
  • 2017An adaptive directional importance sampling method for structural reliability analysis94 cited
  • 2010An adaptive directional importance sampling method for structural reliability92 cited
  • 2013Local estimation of failure probability function by weighted approach64 cited
  • 2022

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Rare event estimation with sequential directional importance sampling
59 cited
  • 2021Cross-entropy-based directional importance sampling with von Mises-Fisher mixture model for reliability analysis55 cited
  • 2019Augmented line sampling for approximation of failure probability function in reliability-based analysis50 cited
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