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Structural reliability analysis under evidence theory using the active learning kriging model
16 references·9 citing·44 second hop
Structural reliability analysis under evidence theory using the active learning kriging model (2017)Structural reliability analysis under evi…Global sensitivity analysis-enhanced surrogate (GSAS) modeling for reliability analysis (2015)Global sensitivity analysis-e…An improved adaptive kriging-based importance technique for sampling multiple failure regions of low probability (2014)An improved adaptive kriging-…An active learning kriging model for hybrid reliability analysis with both random and interval variables (2014)An active learning kriging mo…A novel evidence-theory-based reliability analysis method for structures with epistemic uncertainty (2013)A novel evidence-theory-based…Structural reliability analysis using non-probabilistic convex model (2012)Structural reliability analys…Structural reliability analysis on the basis of small samples: An interval quasi-Monte Carlo method (2012)Structural reliability analys…A new adaptive response surface method for reliability analysis (2012)A new adaptive response surfa…Structural reliability analysis based on random distributions with interval parameters (2011)Structural reliability analys…AK-MCS: An active learning reliability method combining Kriging and Monte Carlo Simulation (2011)AK-MCS: An active learning re…Sequential Experiment Design for Contour Estimation From Complex Computer Codes (2008)Sequential Experiment Design …Efficient Global Reliability Analysis for Nonlinear Implicit Performance Functions (2008)Efficient Global Reliability …A sampling-based computational strategy for the representation of epistemic uncertainty in model predictions with evidence theory (2007)A sampling-based computationa…Epistemic uncertainty quantification techniques including evidence theory for large-scale structures (2004)Epistemic uncertainty quantif…An approximation approach for uncertainty quantification using evidence theory (2004)An approximation approach for…Uncertainty and sensitivity analysis in the presence of stochastic and subjective uncertainty (1997)Uncertainty and sensitivity a…Advances in the Dempster-Shafer theory of evidence (1994)Advances in the Dempster-Shaf…A new probabilistic transformation technique for evidence-theory-based structural reliability analysis (2025)A new probabilistic transform…Efficient computing technique for reliability analysis of high-dimensional and low-failure probability problems using active learning method (2024)Efficient computing technique…An Efficient System Reliability Analysis Method Based on Evidence Theory With Parameter Correlations (2024)An Efficient System Reliabili…Evidence-Theory-Based Reliability Analysis Through Kriging Surrogate Model (2021)Evidence-Theory-Based Reliabi…An enhanced active learning Kriging model for evidence theory-based reliability analysis (2021)An enhanced active learning K…An efficient and robust adaptive Kriging for structural reliability analysis (2020)An efficient and robust adapt…An effective evidence theory‐based reliability analysis algorithm for structures with epistemic uncertainty (2020)An effective evidence theory‐…Evidence-Based Structural Uncertainty Quantification by Dimension Reduction Decomposition and Marginal Interval Analysis (2019)Evidence-Based Structural Unc…An efficient evidence-based reliability analysis method via piecewise hyperplane approximation of limit state function (2018)An efficient evidence-based r…Fuzzy sets (1965)Fuzzy sets (1996)Combination of Evidence in Dempster-Shafer Theory (2002)Reliability sensitivity analysis with random and interval variables (2009)Risk evaluation in failure mode and effects analysis of aircraft turbine rotor blades using Dempster–Shafer evidence theory under uncertainty (2011)Stochastic Finite Elements: A Spectral Approach (1991)Structural Reliability Methods (1996)Simulation and the Monte Carlo Method (2007)Rare Event Estimation Using Polynomial-Chaos Kriging (2016)Adaptive approaches in metamodel-based reliability analysis: A review (2020)Active learning for structural reliability: Survey, general framework and benchmark (2022)Kriging metamodeling in simulation: A review (2007)A combined Importance Sampling and Kriging reliability method for small failure probabilities with time-demanding numerical models (2012)Metamodel-based importance sampling for structural reliability analysis (2013)LIF: A new Kriging based learning function and its application to structural reliability analysis (2016)Exact and Invariant Second-Moment Code Format (1974)Structural reliability under combined random load sequences (1978)Narrow Reliability Bounds for Structural Systems (1979)A novel projection outline based active learning method and its combination with Kriging metamodel for hybrid reliability analysis with random and interval variables (2018)A novel interval dynamic reliability computation approach for the risk evaluation of vibration active control systems based on PID controllers (2020)Modeling, analysis, and optimization under uncertainties: a review (2021)A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (1979)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)Adaptive Design and Analysis of Supercomputer Experiments (2009)Using Statistical and Computer Models to Quantify Volcanic Hazards (2009)System reliability analysis through active learning Kriging model with truncated candidate region (2017)A mathematical theory of evidence (1977)Likelihood-based representation of epistemic uncertainty due to sparse point data and/or interval data (2011)Application of kriging method to structural reliability problems (2004)Probability-interval hybrid uncertainty analysis for structures with both aleatory and epistemic uncertainties: a review (2017)A general failure-pursuing sampling framework for surrogate-based reliability analysis (2018)A novel hybrid adaptive Kriging and water cycle algorithm for reliability-based design and optimization strategy: Application in offshore wind turbine monopile (2023)Designs for Computer Experiments (1989)Probability, reliability and statistical methods in engineering design (1999)DAKOTA : a multilevel parallel object-oriented framework for design optimization, parameter estimation, uncertainty quantification, and sensitivity analysis. Version 5.0, user's manual. (2010)Empirical Model Building and Response Surfaces (1988)Response Surface Methodology (1996)An exploration of alternative approaches to the representation of uncertainty in model predictions (2004)Solving elliptic boundary value problems with uncertain coefficients by the finite element method: the stochastic formulation (2004)Calibration, validation, and sensitivity analysis: What's what (2006)Combining belief functions when evidence conflicts (2000)Belief rule-base inference methodology using the evidential reasoning Approach-RIMER (2006)Survey of sampling-based methods for uncertainty and sensitivity analysis (2006)
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References

  • 2011AK-MCS: An active learning reliability method combining Kriging and Monte Carlo Simulation2,048 cited
  • 2008Efficient Global Reliability Analysis for Nonlinear Implicit Performance Functions1,141 cited
  • 1994Advances in the Dempster-Shafer theory of evidence1,022 cited
  • 1997Uncertainty and sensitivity analysis in the presence of stochastic and subjective uncertainty369 cited
  • 2014An improved adaptive kriging-based importance technique for sampling multiple failure regions of low probability278 cited
  • 2008Sequential Experiment Design for Contour Estimation From Complex Computer Codes264 cited
  • 2012Structural reliability analysis using non-probabilistic convex model219 cited
  • 2014An active learning kriging model for hybrid reliability analysis with both random and interval variables213 cited
  • 2004An approximation approach for uncertainty quantification using evidence theory197 cited
  • 2004Epistemic uncertainty quantification techniques including evidence theory for large-scale structures194 cited
  • 2015Global sensitivity analysis-enhanced surrogate (GSAS) modeling for reliability analysis185 cited
  • 2012A new adaptive response surface method for reliability analysis178 cited
  • 2011Structural reliability analysis based on random distributions with interval parameters165 cited
  • 2007A sampling-based computational strategy for the representation of epistemic uncertainty in model predictions with evidence theory

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165 cited
  • 2012Structural reliability analysis on the basis of small samples: An interval quasi-Monte Carlo method155 cited
  • 2013A novel evidence-theory-based reliability analysis method for structures with epistemic uncertainty151 cited
  • Cited by

    • 2019Evidence-Based Structural Uncertainty Quantification by Dimension Reduction Decomposition and Marginal Interval Analysis34 cited
    • 2021Evidence-Theory-Based Reliability Analysis Through Kriging Surrogate Model34 cited
    • 2018An efficient evidence-based reliability analysis method via piecewise hyperplane approximation of limit state function31 cited
    • 2025A new probabilistic transformation technique for evidence-theory-based structural reliability analysis28 cited
    • 2024An Efficient System Reliability Analysis Method Based on Evidence Theory With Parameter Correlations24 cited
    • 2020An efficient and robust adaptive Kriging for structural reliability analysis23 cited
    • 2020An effective evidence theory‐based reliability analysis algorithm for structures with epistemic uncertainty14 cited
    • 2021An enhanced active learning Kriging model for evidence theory-based reliability analysis12 cited
    • 2024Efficient computing technique for reliability analysis of high-dimensional and low-failure probability problems using active learning method8 cited