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An adaptive directional importance sampling method for structural reliability
15 references·16 citing·34 second hop
An adaptive directional importance sampling method for structural reliability (2010)An adaptive directional importance sampli…Adaptive radial-based importance sampling method for structural reliability (2007)Adaptive radial-based importa…Important sampling in high dimensions (2002)Important sampling in high di…Directional methods for structural reliability analysis (2000)Directional methods for struc…A new adaptive importance sampling scheme for reliability calculations (1999)A new adaptive importance sam…Response surface method using vector projected sampling points (1997)Response surface method using…A benchmark study on importance sampling techniques in structural reliability (1993)A benchmark study on importan…Computational Mechanics of Probabilistic and Reliability Analysis (1991)Computational Mechanics of Pr…Radial Importance Sampling for Structural Reliability (1990)Radial Importance Sampling fo…A fast and efficient response surface approach for structural reliability problems (1990)A fast and efficient response…Importance sampling in structural systems (1989)Importance sampling in struct…Probability Integration by Directional Simulation (1988)Probability Integration by Di…Adaptive sampling — an iterative fast Monte Carlo procedure (1988)Adaptive sampling — an iterat…Second‐Order Reliability Approximations (1987)Second‐Order Reliability Appr…Structural Reliability under Incomplete Probability Information (1986)Structural Reliability under …An efficient sampling method for probability of failure calculation (1986)An efficient sampling method …First excursion probability of dynamical systems: A review on computational methods (2025)First excursion probability o…An adaptive Kriging method based on K-means clustering and sampling in n-ball for structural reliability analysis (2023)An adaptive Kriging method ba…Structural dynamic reliability analysis: review and prospects (2022)Structural dynamic reliabilit…Small failure probability: principles, progress and perspectives (2022)Small failure probability: pr…Reliability analysis based improved directional simulation using Harris Hawks optimization algorithm for engineering systems (2022)Reliability analysis based im…Rare event estimation with sequential directional importance sampling (2022)Rare event estimation with se…Adaptive stratified sampling for structural reliability analysis (2022)Adaptive stratified sampling …Multisphere-based importance sampling for structural reliability (2021)Multisphere-based importance …Cross-entropy-based directional importance sampling with von Mises-Fisher mixture model for reliability analysis (2021)Cross-entropy-based direction…A scenario optimization approach to reliability-based and risk-based design: Soft-constrained modulation of failure probability bounds (2021)A scenario optimization appro…Application of directional importance sampling for estimation of first excursion probabilities of linear structural systems subject to stochastic Gaussian loading (2020)Application of directional im…An active learning Kriging model combined with directional importance sampling method for efficient reliability analysis (2020)An active learning Kriging mo…A scenario optimization approach to reliability-based design (2019)A scenario optimization appro…Refined first-order reliability method using cross-entropy optimization method (2018)Refined first-order reliabili…Subdomain sampling methods – Efficient algorithm for estimating failure probability (2017)Subdomain sampling methods – …Approximation of the Monte Carlo Sampling Method for Reliability Analysis of Structures (2016)Approximation of the Monte Ca…Simulation and the Monte Carlo Method (1981)Monte Carlo techniques in computational stochastic mechanics (1998)A response surface method based on weighted regression for structural reliability analysis (2004)Methods of structural safety (2006)Simulation and the Monte Carlo Method (2016)Monte Carlo and variance reduction methods for structural reliability analysis: A comprehensive review (2023)Optimization algorithms for structural reliability (1991)A critical appraisal of reliability estimation procedures for high dimensions (2004)Metamodel-based importance sampling for structural reliability analysis (2013)MCMC algorithms for Subset Simulation (2015)Response Surface Methodology (1996)Moment methods for structural reliability (2001)Application of kriging method to structural reliability problems (2004)Small sample sensitivity analysis techniques for computer models.with an application to risk assessment (1980)Review and application of Artificial Neural Networks models in reliability analysis of steel structures (2014)Exact and Invariant Second-Moment Code Format (1974)Structural reliability under combined random load sequences (1978)Narrow Reliability Bounds for Structural Systems (1979)Optimal Discretization of Random Fields (1993)Reliability analysis—a review and some perspectives (2001)Response‐Surface Approach for Reliability Analysis (1989)A new look at the response surface approach for reliability analysis (1993)Non-Normal Dependent Vectors in Structural Safety (1981)The stochastic finite element method in structural reliability (1987)The stochastic finite element method in structural reliability (1988)A general procedure for first/second-order reliabilitymethod (FORM/SORM) (1999)A univariate dimension-reduction method for multi-dimensional integration in stochastic mechanics (2004)Structural Reliability Analysis and Prediction (2017)Estimation of small failure probabilities in high dimensions by subset simulation (2001)Reliability-based design sensitivity by efficient simulation (2005)Sequential importance sampling for structural reliability analysis (2016)A review and assessment of importance sampling methods for reliability analysis (2022)Application of subset simulation methods to reliability benchmark problems (2006)A comparative study of uncertainty propagation methods for black-box-type problems (2008)
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References

  • 1990A fast and efficient response surface approach for structural reliability problems1,198 cited
  • 1986Structural Reliability under Incomplete Probability Information853 cited
  • 1989Importance sampling in structural systems604 cited
  • 1987Second‐Order Reliability Approximations583 cited
  • 1999A new adaptive importance sampling scheme for reliability calculations564 cited
  • 1988Adaptive sampling — an iterative fast Monte Carlo procedure464 cited
  • 1997Response surface method using vector projected sampling points413 cited
  • 1993A benchmark study on importance sampling techniques in structural reliability380 cited
  • 2002Important sampling in high dimensions375 cited
  • 1988Probability Integration by Directional Simulation339 cited
  • 2000Directional methods for structural reliability analysis278 cited
  • 1986An efficient sampling method for probability of failure calculation254 cited
  • 2007Adaptive radial-based importance sampling method for structural reliability182 cited
  • 1990Radial Importance Sampling for Structural Reliability146 cited
  • 1991Computational Mechanics of Probabilistic and Reliability Analysis95 cited

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Cited by

  • 2022Structural dynamic reliability analysis: review and prospects71 cited
  • 2022Rare event estimation with sequential directional importance sampling59 cited
  • 2020An active learning Kriging model combined with directional importance sampling method for efficient reliability analysis57 cited
  • 2021Cross-entropy-based directional importance sampling with von Mises-Fisher mixture model for reliability analysis55 cited
  • 2020Application of directional importance sampling for estimation of first excursion probabilities of linear structural systems subject to stochastic Gaussian loading48 cited
  • 2022Reliability analysis based improved directional simulation using Harris Hawks optimization algorithm for engineering systems41 cited
  • 2021A scenario optimization approach to reliability-based and risk-based design: Soft-constrained modulation of failure probability bounds40 cited
  • 2016Approximation of the Monte Carlo Sampling Method for Reliability Analysis of Structures38 cited
  • 2025First excursion probability of dynamical systems: A review on computational methods32 cited
  • 2022Small failure probability: principles, progress and perspectives31 cited
  • 2023An adaptive Kriging method based on K-means clustering and sampling in n-ball for structural reliability analysis29 cited
  • 2018Refined first-order reliability method using cross-entropy optimization method27 cited
  • 2017Subdomain sampling methods – Efficient algorithm for estimating failure probability27 cited
  • 2019A scenario optimization approach to reliability-based design26 cited
  • 2022Adaptive stratified sampling for structural reliability analysis25 cited
  • 2021Multisphere-based importance sampling for structural reliability22 cited