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On the Robust Estimation of Small Failure Probabilities for Strong Nonlinear Models
16 references·3 citing·44 second hop
On the Robust Estimation of Small Failure Probabilities for Strong Nonlinear Models (2019)On the Robust Estimation of Small Failure…Recent Trends in the Modeling and Quantification of Non-probabilistic Uncertainty (2019)Recent Trends in the Modeling…A multivariate interval approach for inverse uncertainty quantification with limited experimental data (2018)A multivariate interval appro…Rare Event Estimation Using Polynomial-Chaos Kriging (2016)Rare Event Estimation Using P…Rare event simulation in finite-infinite dimensional space (2015)Rare event simulation in fini…POLYNOMIAL-CHAOS-BASED KRIGING (2015)POLYNOMIAL-CHAOS-BASED KRIGINGAdvanced Line Sampling for efficient robust reliability analysis (2014)Advanced Line Sampling for ef…Interval fields to represent uncertainty on the output side of a static FE analysis (2013)Interval fields to represent …Structural reliability analysis based on random distributions with interval parameters (2011)Structural reliability analys…General purpose software for efficient uncertainty management of large finite element models (2011)General purpose software for …Interval Monte Carlo methods for structural reliability (2010)Interval Monte Carlo methods …Global sensitivity analysis using polynomial chaos expansions (2007)Global sensitivity analysis u…Benchmark study on reliability estimation in higher dimensions of structural systems – An overview (2006)Benchmark study on reliabilit…Reliability of structures in high dimensions, part I: algorithms and applications (2004)Reliability of structures in …Realistic and efficient reliability estimation for aerospace structures (2004)Realistic and efficient relia…A critical appraisal of reliability estimation procedures for high dimensions (2004)A critical appraisal of relia…Estimation of small failure probabilities in high dimensions by subset simulation (2001)Estimation of small failure p…Efficient structural reliability analysis via a weak-intrusive stochastic finite element method (2023)Efficient structural reliabil…Soft-constrained interval predictor models and epistemic reliability intervals: A new tool for uncertainty quantification with limited experimental data (2021)Soft-constrained interval pre…Augmented reliability analysis for estimating imprecise first excursion probabilities in stochastic linear dynamics (2021)Augmented reliability analysi…Reliability analysis—a review and some perspectives (2001)On Latin hypercube sampling for structural reliability analysis (2002)A survey on approaches for reliability-based optimization (2010)Assessing small failure probabilities by combined subset simulation and Support Vector Machines (2011)MCMC algorithms for Subset Simulation (2015)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)Fuzzy sets (1965)Fuzzy sets (1996)An Introduction to Copulas (1999)AKOIS: An adaptive Kriging oriented importance sampling method for structural system reliability analysis (2019)Surrogate-assisted reliability-based design optimization: a survey and a unified modular framework (2019)Engineering analysis with probability boxes: A review on computational methods (2021)Probability Concepts in Engineering Planning and Design (1975)Aleatory or epistemic? Does it matter? (2008)Structural reliability analysis on the basis of small samples: An interval quasi-Monte Carlo method (2012)Probability-interval hybrid uncertainty analysis for structures with both aleatory and epistemic uncertainties: a review (2017)Structural Reliability Analysis and Prediction (2017)Modeling, analysis, and optimization under uncertainties: a review (2021)A new adaptive importance sampling scheme for reliability calculations (1999)Application of line sampling simulation method to reliability benchmark problems (2006)Subset simulation for structural reliability sensitivity analysis (2008)Active learning for structural reliability: Survey, general framework and benchmark (2022)Stochastic Finite Elements: A Spectral Approach (1991)A Quantitative Model-Independent Method for Global Sensitivity Analysis of Model Output (1999)The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)Adaptive sparse polynomial chaos expansion based on least angle regression (2010)UQLab: A Framework for Uncertainty Quantification in Matlab (2014)Sensitivity analysis of environmental models: A systematic review with practical workflow (2016)The Design and Analysis of Computer Experiments (2003)Adaptive approaches in metamodel-based reliability analysis: A review (2020)A review and assessment of importance sampling methods for reliability analysis (2022)Guidelines for evaluating and expressing the uncertainty of NIST measurement results (2018)A state-of-the-art review on uncertainty analysis of rotor systems (2022)Stochastic Model Updating with Uncertainty Quantification: An Overview and Tutorial (2023)Design and Analysis of Computer Experiments (1989)A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (2000)Sparse Polynomial Chaos Expansions: Literature Survey and Benchmark (2021)Bayesian post-processor and other enhancements of Subset Simulation for estimating failure probabilities in high dimensions (2011)Reliability engineering (2011)Accelerated subset simulation with neural networks for reliability analysis (2012)
this work references cited by second hop

References

  • 2007Global sensitivity analysis using polynomial chaos expansions2,547 cited
  • 2001Estimation of small failure probabilities in high dimensions by subset simulation2,419 cited
  • 2004A critical appraisal of reliability estimation procedures for high dimensions476 cited
  • 2015POLYNOMIAL-CHAOS-BASED KRIGING398 cited
  • 2004Reliability of structures in high dimensions, part I: algorithms and applications370 cited
  • 2016Rare Event Estimation Using Polynomial-Chaos Kriging279 cited
  • 2010Interval Monte Carlo methods for structural reliability224 cited
  • 2006Benchmark study on reliability estimation in higher dimensions of structural systems – An overview220 cited
  • 2019Recent Trends in the Modeling and Quantification of Non-probabilistic Uncertainty213 cited
  • 2014Advanced Line Sampling for efficient robust reliability analysis212 cited
  • 2011Structural reliability analysis based on random distributions with interval parameters165 cited
  • 2004Realistic and efficient reliability estimation for aerospace structures111 cited
  • 2013Interval fields to represent uncertainty on the output side of a static FE analysis85 cited
  • 2018A multivariate interval approach for inverse uncertainty quantification with limited experimental data81 cited

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2015
Rare event simulation in finite-infinite dimensional space
75 cited
  • 2011General purpose software for efficient uncertainty management of large finite element models67 cited
  • Cited by

    • 2021Soft-constrained interval predictor models and epistemic reliability intervals: A new tool for uncertainty quantification with limited experimental data16 cited
    • 2021Augmented reliability analysis for estimating imprecise first excursion probabilities in stochastic linear dynamics16 cited
    • 2023Efficient structural reliability analysis via a weak-intrusive stochastic finite element method14 cited