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An adaptive multiple-Kriging-surrogate method for time-dependent reliability analysis
16 references·16 citing·29 second hopsampled
An adaptive multiple-Kriging-surrogate method for time-dependent reliability analysis (2019)An adaptive multiple-Kriging-surrogate me…AK-SYSi: an improved adaptive Kriging model for system reliability analysis with multiple failure modes by a refined U learning function (2018)AK-SYSi: an improved adaptive…Time-Dependent Reliability Analysis Through Response Surface Method (2017)Time-Dependent Reliability An…Principal component analysis and polynomial chaos expansion for time-variant reliability problems (2017)Principal component analysis …Time-variant reliability assessment through equivalent stochastic process transformation (2016)Time-variant reliability asse…Rare Event Estimation Using Polynomial-Chaos Kriging (2016)Rare Event Estimation Using P…A Single-Loop Kriging Surrogate Modeling for Time-Dependent Reliability Analysis (2016)A Single-Loop Kriging Surroga…Mixed Efficient Global Optimization for Time-Dependent Reliability Analysis (2015)Mixed Efficient Global Optimi…First order reliability method for time-variant problems using series expansions (2014)First order reliability metho…Time-dependent reliability analysis with joint upcrossing rates (2013)Time-dependent reliability an…A Sampling Approach to Extreme Value Distribution for Time-Dependent Reliability Analysis (2013)A Sampling Approach to Extrem…A new approach for reliability analysis with time-variant performance characteristics (2013)A new approach for reliabilit…A Nested Extreme Response Surface Approach for Time-Dependent Reliability-Based Design Optimization (2012)A Nested Extreme Response Sur…Analytical derivation of the outcrossing rate in time-variant reliability problems (2008)Analytical derivation of the …The extreme value distribution and dynamic reliability analysis of nonlinear structures with uncertain parameters (2006)The extreme value distributio…The equivalent extreme-value event and evaluation of the structural system reliability (2006)The equivalent extreme-value …The PHI2 method: a way to compute time-variant reliability (2003)The PHI2 method: a way to com…Towards a single-loop Gaussian process regression based-active learning method for time-dependent reliability analysis (2025)Towards a single-loop Gaussia…Probability-informed neural network-driven point-evolution kernel density estimation for time-dependent reliability analysis (2024)Probability-informed neural n…Physics-informed neural network classification framework for reliability analysis (2024)Physics-informed neural netwo…A loading contribution degree analysis-based strategy for time-variant reliability analysis of structures under multiple loading stochastic processes (2023)A loading contribution degree…Combined relevance vector machine technique and subset simulation importance sampling for structural reliability (2022)Combined relevance vector mac…An efficient method for time-dependent reliability problems with high-dimensional outputs based on adaptive dimension reduction strategy and surrogate model (2022)An efficient method for time-…An efficient method for estimating failure probability bounds under random‐interval mixed uncertainties by combining line sampling with adaptive Kriging (2022)An efficient method for estim…Error-based stopping criterion for the combined adaptive Kriging and importance sampling method for reliability analysis (2021)Error-based stopping criterio…Active Learning Kriging Model With Adaptive Uniform Design for Time-Dependent Reliability Analysis (2021)Active Learning Kriging Model…An LSTM-Based Ensemble Learning Approach for Time-Dependent Reliability Analysis (2020)An LSTM-Based Ensemble Learni…An enhanced moment-based approach to time-dependent positional reliability analysis for robotic manipulators (2020)An enhanced moment-based appr…Advanced solution strategies for time-dependent reliability based design optimization (2020)Advanced solution strategies …A novel time-dependent system constraint boundary sampling technique for solving time-dependent reliability-based design optimization problems (2020)A novel time-dependent system…Novel decoupling method for time-dependent reliability-based design optimization (2019)Novel decoupling method for t…Machine learning aided static structural reliability analysis for functionally graded frame structures (2019)Machine learning aided static…Adaptive Kriging coupled with importance sampling strategies for time-variant hybrid reliability analysis (2019)Adaptive Kriging coupled with…Design and Analysis of Computer Experiments (1989)Sequential Optimization and Reliability Assessment Method for Efficient Probabilistic Design (2004)Methods of structural safety (2006)Probability Concepts in Engineering Planning and Design (1975)Method for Random Vibration of Hysteretic Systems (1976)Stochastic Finite Elements: A Spectral Approach (1991)Random function based spectral representation of stationary and non-stationary stochastic processes (2016)Structural Reliability Methods (1996)Reliability analysis—a review and some perspectives (2001)Optimal Discretization of Random Fields (1993)Efficient Global Reliability Analysis for Nonlinear Implicit Performance Functions (2008)AK-MCS: An active learning reliability method combining Kriging and Monte Carlo Simulation (2011)AK-MCSi: A Kriging-based method to deal with small failure probabilities and time-consuming models (2018)ESC: an efficient error-based stopping criterion for kriging-based reliability analysis methods (2018)Probabilistic Theory of Structural Dynamics (1976)Reliability-based Structural Design (2006)Modeling, analysis, and optimization under uncertainties: a review (2021)Exact and Invariant Second-Moment Code Format (1974)Advances of the probability density evolution method for nonlinear stochastic systems (2011)The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)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)Active learning for structural reliability: Survey, general framework and benchmark (2022)Large Sample Properties of Simulations Using Latin Hypercube Sampling (1987)Monte Carlo and variance reduction methods for structural reliability analysis: A comprehensive review (2023)Structural reliability under combined random load sequences (1978)A general failure-pursuing sampling framework for surrogate-based reliability analysis (2018)Real-time estimation error-guided active learning Kriging method for time-dependent reliability analysis (2019)
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References

  • 2003The PHI2 method: a way to compute time-variant reliability460 cited
  • 2006The equivalent extreme-value event and evaluation of the structural system reliability447 cited
  • 2006The extreme value distribution and dynamic reliability analysis of nonlinear structures with uncertain parameters352 cited
  • 2008Analytical derivation of the outcrossing rate in time-variant reliability problems326 cited
  • 2016A Single-Loop Kriging Surrogate Modeling for Time-Dependent Reliability Analysis325 cited
  • 2016Rare Event Estimation Using Polynomial-Chaos Kriging279 cited
  • 2017Time-Dependent Reliability Analysis Through Response Surface Method244 cited
  • 2012A Nested Extreme Response Surface Approach for Time-Dependent Reliability-Based Design Optimization241 cited
  • 2013Time-dependent reliability analysis with joint upcrossing rates234 cited
  • 2015Mixed Efficient Global Optimization for Time-Dependent Reliability Analysis217 cited
  • 2014First order reliability method for time-variant problems using series expansions164 cited
  • 2018AK-SYSi: an improved adaptive Kriging model for system reliability analysis with multiple failure modes by a refined U learning function150 cited
  • 2013A Sampling Approach to Extreme Value Distribution for Time-Dependent Reliability Analysis146 cited
  • 2016Time-variant reliability assessment through equivalent stochastic process transformation

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140 cited
  • 2017Principal component analysis and polynomial chaos expansion for time-variant reliability problems125 cited
  • 2013A new approach for reliability analysis with time-variant performance characteristics119 cited
  • Cited by

    • 2019Machine learning aided static structural reliability analysis for functionally graded frame structures59 cited
    • 2019Adaptive Kriging coupled with importance sampling strategies for time-variant hybrid reliability analysis45 cited
    • 2020Advanced solution strategies for time-dependent reliability based design optimization42 cited
    • 2020An enhanced moment-based approach to time-dependent positional reliability analysis for robotic manipulators40 cited
    • 2024Physics-informed neural network classification framework for reliability analysis38 cited
    • 2022Combined relevance vector machine technique and subset simulation importance sampling for structural reliability38 cited
    • 2021Error-based stopping criterion for the combined adaptive Kriging and importance sampling method for reliability analysis37 cited
    • 2019Novel decoupling method for time-dependent reliability-based design optimization35 cited
    • 2020An LSTM-Based Ensemble Learning Approach for Time-Dependent Reliability Analysis28 cited
    • 2022An efficient method for time-dependent reliability problems with high-dimensional outputs based on adaptive dimension reduction strategy and surrogate model28 cited
    • 2023A loading contribution degree analysis-based strategy for time-variant reliability analysis of structures under multiple loading stochastic processes28 cited
    • 2024Probability-informed neural network-driven point-evolution kernel density estimation for time-dependent reliability analysis26 cited
    • 2021Active Learning Kriging Model With Adaptive Uniform Design for Time-Dependent Reliability Analysis25 cited
    • 2022An efficient method for estimating failure probability bounds under random‐interval mixed uncertainties by combining line sampling with adaptive Kriging25 cited
    • 2020A novel time-dependent system constraint boundary sampling technique for solving time-dependent reliability-based design optimization problems25 cited
    • 2025Towards a single-loop Gaussian process regression based-active learning method for time-dependent reliability analysis24 cited