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Meta-models for Structural Reliability and Uncertainty Quantification
16 references·16 citing·26 second hopsampled
Meta-models for Structural Reliability and Uncertainty Quantification (2012)Meta-models for Structural Reliability an…Structural Reliability Analysis and Prediction (2017)Structural Reliability Analys…AK-MCS: An active learning reliability method combining Kriging and Monte Carlo Simulation (2011)AK-MCS: An active learning re…Adaptive sparse polynomial chaos expansion based on least angle regression (2010)Adaptive sparse polynomial ch…An adaptive algorithm to build up sparse polynomial chaos expansions for stochastic finite element analysis (2009)An adaptive algorithm to buil…Simulation and the Monte Carlo Method (2007)Simulation and the Monte Carl…Global sensitivity analysis using polynomial chaos expansions (2007)Global sensitivity analysis u…High-Order Collocation Methods for Differential Equations with Random Inputs (2005)High-Order Collocation Method…The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)The Wiener--Askey Polynomial …Estimation of small failure probabilities in high dimensions by subset simulation (2001)Estimation of small failure p…Geostatistics: Modeling Spatial Uncertainty (2000)Geostatistics: Modeling Spati…A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (2000)A Comparison of Three Methods…Structural Reliability Methods (1996)Structural Reliability MethodsStatistics for Spatial Data. (1993)Statistics for Spatial Data.A new look at the response surface approach for reliability analysis (1993)A new look at the response su…Design and Analysis of Computer Experiments (1989)Design and Analysis of Comput…Exact and Invariant Second-Moment Code Format (1974)Exact and Invariant Second-Mo…Improved dynamic design method of ballasted high-speed railway bridges using surrogate-assisted reliability-based design optimization of dependent variables (2023)Improved dynamic design metho…Uncertainty quantization and reliability analysis for rotor/stator rub-impact using advanced Kriging surrogate model (2022)Uncertainty quantization and …Variance-based reliability sensitivity analysis and the FORM α -factors (2021)Variance-based reliability se…A novel fidelity selection strategy-guided multifidelity kriging algorithm for structural reliability analysis (2021)A novel fidelity selection st…UQpy: A general purpose Python package and development environment for uncertainty quantification (2020)UQpy: A general purpose Pytho…Distribution-free polynomial chaos expansion surrogate models for efficient structural reliability analysis (2020)Distribution-free polynomial …Improved cross entropy-based importance sampling with a flexible mixture model (2019)Improved cross entropy-based …Reliability sensitivity estimation with sequential importance sampling (2018)Reliability sensitivity estim…Principal component analysis and polynomial chaos expansion for time-variant reliability problems (2017)Principal component analysis …COSSAN: A Multidisciplinary Software Suite for Uncertainty Quantification and Risk Management (2017)COSSAN: A Multidisciplinary S…A Critical Review of Surrogate Assisted Robust Design Optimization (2017)A Critical Review of Surrogat…Time-variant reliability assessment through equivalent stochastic process transformation (2016)Time-variant reliability asse…Bayesian analysis of rare events (2016)Bayesian analysis of rare eve…Meta-model-based importance sampling for reliability sensitivity analysis (2014)Meta-model-based importance s…A survey of rare event simulation methods for static input–output models (2014)A survey of rare event simula…Kriging-based adaptive Importance Sampling algorithms for rare event estimation (2013)Kriging-based adaptive Import…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)Stochastic Finite Elements: A Spectral Approach (1991)A Quantitative Model-Independent Method for Global Sensitivity Analysis of Model Output (1999)UQLab: A Framework for Uncertainty Quantification in Matlab (2014)Sensitivity analysis of environmental models: A systematic review with practical workflow (2016)Uncertainties in risk analysis: Six levels of treatment (1996)Reliability analysis—a review and some perspectives (2001)Sequential Optimization and Reliability Assessment Method for Efficient Probabilistic Design (2004)Narrow Reliability Bounds for Structural Systems (1979)Latin hypercube sampling and the propagation of uncertainty in analyses of complex systems (2003)Variance based sensitivity analysis of model output. Design and estimator for the total sensitivity index (2009)Taking the Human Out of the Loop: A Review of Bayesian Optimization (2015)Model-Based Geostatistics (1998)Spatial data analysis: theory and practice (2004)An Explicit Link between Gaussian Fields and Gaussian Markov Random Fields: The Stochastic Partial Differential Equation Approach (2011)A review of techniques for parameter sensitivity analysis of environmental models (1994)Importance measures in global sensitivity analysis of nonlinear models (1996)Methods to account for spatial autocorrelation in the analysis of species distributional data: a review (2007)Cross‐validation strategies for data with temporal, spatial, hierarchical, or phylogenetic structure (2016)Econometric Tools for Analyzing Market Outcomes (2007)Metamodel-based importance sampling for structural reliability analysis (2013)Everything you need to know about agent-based modelling and simulation (2016)
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References

  • 2000A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code8,233 cited
  • 1989Design and Analysis of Computer Experiments6,958 cited
  • 1993Statistics for Spatial Data.5,101 cited
  • 2002The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations4,821 cited
  • 2017Structural Reliability Analysis and Prediction3,780 cited
  • 1974Exact and Invariant Second-Moment Code Format3,138 cited
  • 2000Geostatistics: Modeling Spatial Uncertainty2,880 cited
  • 2007Global sensitivity analysis using polynomial chaos expansions2,547 cited
  • 2007Simulation and the Monte Carlo Method2,454 cited
  • 2001Estimation of small failure probabilities in high dimensions by subset simulation2,419 cited
  • 1996Structural Reliability Methods2,192 cited
  • 2011AK-MCS: An active learning reliability method combining Kriging and Monte Carlo Simulation2,048 cited
  • 2005High-Order Collocation Methods for Differential Equations with Random Inputs1,522 cited
  • 2010Adaptive sparse polynomial chaos expansion based on least angle regression1,507 cited
  • 2009An adaptive algorithm to build up sparse polynomial chaos expansions for stochastic finite element analysis

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834 cited
  • 1993A new look at the response surface approach for reliability analysis733 cited
  • Cited by

    • 2017A Critical Review of Surrogate Assisted Robust Design Optimization177 cited
    • 2014Meta-model-based importance sampling for reliability sensitivity analysis158 cited
    • 2013Kriging-based adaptive Importance Sampling algorithms for rare event estimation145 cited
    • 2016Time-variant reliability assessment through equivalent stochastic process transformation140 cited
    • 2017Principal component analysis and polynomial chaos expansion for time-variant reliability problems125 cited
    • 2019Improved cross entropy-based importance sampling with a flexible mixture model119 cited
    • 2018Reliability sensitivity estimation with sequential importance sampling112 cited
    • 2020UQpy: A general purpose Python package and development environment for uncertainty quantification94 cited
    • 2016Bayesian analysis of rare events85 cited
    • 2014A survey of rare event simulation methods for static input–output models70 cited
    • 2021Variance-based reliability sensitivity analysis and the FORM α -factors68 cited
    • 2022Uncertainty quantization and reliability analysis for rotor/stator rub-impact using advanced Kriging surrogate model46 cited
    • 2021A novel fidelity selection strategy-guided multifidelity kriging algorithm for structural reliability analysis45 cited
    • 2020Distribution-free polynomial chaos expansion surrogate models for efficient structural reliability analysis43 cited
    • 2017COSSAN: A Multidisciplinary Software Suite for Uncertainty Quantification and Risk Management42 cited
    • 2023Improved dynamic design method of ballasted high-speed railway bridges using surrogate-assisted reliability-based design optimization of dependent variables41 cited