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Unified reliability analysis by active learning Kriging model combining with random‐set based Monte Carlo simulation method
16 references·16 citing·37 second hopsampled
Unified reliability analysis by active learning Kriging model combining with random‐set based Monte Carlo simulation method (2016)Unified reliability analysis by active le…First and second order approximate reliability analysis methods using evidence theory (2015)First and second order approx…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 Assessment by Local Approximation of Limit State Functions Using Adaptive Markov Chain Simulation and Support Vector Regression (2012)Structural Reliability Assess…Structural reliability analysis using non-probabilistic convex model (2012)Structural reliability analys…Efficient sampling methods for global reliability sensitivity analysis (2012)Efficient sampling methods fo…A combined Importance Sampling and Kriging reliability method for small failure probabilities with time-demanding numerical models (2012)A combined Importance Samplin…Mixed aleatory-epistemic uncertainty quantification with stochastic expansions and optimization-based interval estimation (2011)Mixed aleatory-epistemic unce…AK-MCS: An active learning reliability method combining Kriging and Monte Carlo Simulation (2011)AK-MCS: An active learning re…Structural reliability assessment based on probability and convex set mixed model (2009)Structural reliability assess…Unified Uncertainty Analysis by the First Order Reliability Method (2008)Unified Uncertainty Analysis …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…Reliability-Based Design With the Mixture of Random and Interval Variables (2005)Reliability-Based Design With…Application of kriging method to structural reliability problems (2004)Application of kriging method…An Efficient System Reliability Analysis Method Based on Evidence Theory With Parameter Correlations (2024)An Efficient System Reliabili…Hybrid reliability analysis with incomplete interval data based on adaptive Kriging (2023)Hybrid reliability analysis w…An effective Kriging-based approximation for structural reliability analysis with random and interval variables (2021)An effective Kriging-based ap…Reliability-Based Design Optimization of Complex Problems With Multiple Design Points via Narrowed Search Region (2019)Reliability-Based Design Opti…Bounds approximation of limit‐state surface based on active learning Kriging model with truncated candidate region for random‐interval hybrid reliability analysis (2019)Bounds approximation of limit…A combined Importance Sampling and active learning Kriging reliability method for small failure probability with random and correlated interval variables (2019)A combined Importance Samplin…Improvement in first-order reliability method using an adaptive chaos control factor (2018)Improvement in first-order re…Estimation of low failure probability based on active learning Kriging model with a concentric ring approaching strategy (2018)Estimation of low failure pro…An improved two-stage framework of evidence-based design optimization (2018)An improved two-stage framewo…An efficient epistemic uncertainty analysis method using evidence theory (2018)An efficient epistemic uncert…A new effective approach for computation of reliability index in nonlinear problems of reliability analysis (2018)A new effective approach for …Structural reliability analysis under evidence theory using the active learning kriging model (2017)Structural reliability analys…Hybrid reliability analysis with uncertain statistical variables, sparse variables and interval variables (2017)Hybrid reliability analysis w…A robust approximation method for nonlinear cases of structural reliability analysis (2017)A robust approximation method…A probabilistic feasible region approach for reliability-based design optimization (2017)A probabilistic feasible regi…A novel evidence theory model dealing with correlated variables and the corresponding structural reliability analysis method (2017)A novel evidence theory model…Stochastic Finite Elements: A Spectral Approach (1991)Structural Reliability Methods (1996)Kriging metamodeling in simulation: A review (2007)Metamodel-based importance sampling for structural reliability analysis (2013)LIF: A new Kriging based learning function and its application to structural reliability analysis (2016)On the Experimental Attainment of Optimum Conditions (1951)A fast and efficient response surface approach for structural reliability problems (1990)On the Experimental Attainment of Optimum Conditions (1992)Support vector machine in structural reliability analysis: A review (2023)Exact and Invariant Second-Moment Code Format (1974)Structural reliability under combined random load sequences (1978)Sequential Optimization and Reliability Assessment Method for Efficient Probabilistic Design (2004)Reliability sensitivity analysis with random and interval variables (2009)A novel hybrid adaptive Kriging and water cycle algorithm for reliability-based design and optimization strategy: Application in offshore wind turbine monopile (2023)Estimation of small failure probabilities in high dimensions by subset simulation (2001)A new learning function for Kriging and its applications to solve reliability problems in engineering (2015)Assessing small failure probabilities by AK–SS: An active learning method combining Kriging and Subset Simulation (2016)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)The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)A guide to uncertainty quantification and sensitivity analysis for cardiovascular applications (2015)Review of statistical model calibration and validation—from the perspective of uncertainty structures (2019)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)Time-dependent reliability analysis with joint upcrossing rates (2013)Structural Reliability Analysis and Prediction (2017)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)
this work references cited by second hop· second hop is a sample of the most-cited connections

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
  • 2004Application of kriging method to structural reliability problems709 cited
  • 2012A combined Importance Sampling and Kriging reliability method for small failure probabilities with time-demanding numerical models692 cited
  • 2008Sequential Experiment Design for Contour Estimation From Complex Computer Codes264 cited
  • 2008Unified Uncertainty Analysis by the First Order Reliability Method249 cited
  • 2005Reliability-Based Design With the Mixture of Random and Interval Variables247 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
  • 2011Mixed aleatory-epistemic uncertainty quantification with stochastic expansions and optimization-based interval estimation192 cited
  • 2009Structural reliability assessment based on probability and convex set mixed model170 cited
  • 2007A sampling-based computational strategy for the representation of epistemic uncertainty in model predictions with evidence theory165 cited
  • 2012Efficient sampling methods for global reliability sensitivity analysis157 cited

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2013
A novel evidence-theory-based reliability analysis method for structures with epistemic uncertainty
151 cited
  • 2015First and second order approximate reliability analysis methods using evidence theory145 cited
  • 2012Structural Reliability Assessment by Local Approximation of Limit State Functions Using Adaptive Markov Chain Simulation and Support Vector Regression143 cited
  • Cited by

    • 2017A robust approximation method for nonlinear cases of structural reliability analysis45 cited
    • 2018An efficient epistemic uncertainty analysis method using evidence theory43 cited
    • 2019A combined Importance Sampling and active learning Kriging reliability method for small failure probability with random and correlated interval variables43 cited
    • 2018An improved two-stage framework of evidence-based design optimization41 cited
    • 2017A probabilistic feasible region approach for reliability-based design optimization39 cited
    • 2017Structural reliability analysis under evidence theory using the active learning kriging model36 cited
    • 2018Improvement in first-order reliability method using an adaptive chaos control factor34 cited
    • 2018Estimation of low failure probability based on active learning Kriging model with a concentric ring approaching strategy31 cited
    • 2019Bounds approximation of limit‐state surface based on active learning Kriging model with truncated candidate region for random‐interval hybrid reliability analysis27 cited
    • 2021An effective Kriging-based approximation for structural reliability analysis with random and interval variables27 cited
    • 2017Hybrid reliability analysis with uncertain statistical variables, sparse variables and interval variables25 cited
    • 2024An Efficient System Reliability Analysis Method Based on Evidence Theory With Parameter Correlations24 cited
    • 2018A new effective approach for computation of reliability index in nonlinear problems of reliability analysis23 cited
    • 2023Hybrid reliability analysis with incomplete interval data based on adaptive Kriging23 cited
    • 2019Reliability-Based Design Optimization of Complex Problems With Multiple Design Points via Narrowed Search Region23 cited
    • 2017A novel evidence theory model dealing with correlated variables and the corresponding structural reliability analysis method20 cited