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A new active-learning function for adaptive Polynomial-Chaos Kriging probability density evolution method
16 references·11 citing·36 second hop
A new active-learning function for adaptive Polynomial-Chaos Kriging probability density evolution method (2022)A new active-learning function for adapti…Simulation and the Monte Carlo Method (2016)Simulation and the Monte Carl…Assessing small failure probabilities by AK–SS: An active learning method combining Kriging and Subset Simulation (2016)Assessing small failure proba…POLYNOMIAL-CHAOS-BASED KRIGING (2015)POLYNOMIAL-CHAOS-BASED KRIGINGA new learning function for Kriging and its applications to solve reliability problems in engineering (2015)A new learning function for K…A GF-discrepancy for point selection in stochastic seismic response analysis of structures with uncertain parameters (2015)A GF-discrepancy for point se…UQLab: A Framework for Uncertainty Quantification in Matlab (2014)UQLab: A Framework for Uncert…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…Stochastic Dynamics of Structures (2009)Stochastic Dynamics of Struct…Efficient Global Reliability Analysis for Nonlinear Implicit Performance Functions (2008)Efficient Global Reliability …The equivalent extreme-value event and evaluation of the structural system reliability (2006)The equivalent extreme-value …On Latin hypercube sampling for structural reliability analysis (2002)On Latin hypercube sampling f…Estimation of small failure probabilities in high dimensions by subset simulation (2001)Estimation of small failure p…A general procedure for first/second-order reliabilitymethod (FORM/SORM) (1999)A general procedure for first…Multiple design points in first and second-order reliability (1998)Multiple design points in fir…A benchmark study on importance sampling techniques in structural reliability (1993)A benchmark study on importan…Multi-point active learning probability density evolution method (2025)Multi-point active learning p…High-dimensional reliability estimation of engineered structures using deep networks and adaptive hierarchical learning (2025)High-dimensional reliability …Bayesian neural network based probability density evolution approach for efficient structural reliability analysis (2025)Bayesian neural network based…A theoretically-consistent parallel enrichment strategy for Bayesian active learning reliability analysis (2025)A theoretically-consistent pa…Structural reliability analysis based on probability density evolution method and stepwise truncated variance reduction (2024)Structural reliability analys…Parallel active learning reliability analysis: A multi-point look-ahead paradigm (2024)Parallel active learning reli…Efficient reliability analysis of stochastic dynamic first-passage problems by probability density evolution analysis with subset supported point selection (2024)Efficient reliability analysi…One-step look-ahead policy for active learning reliability analysis (2023)One-step look-ahead policy fo…A Kriging-assisted global reliability-based design optimization algorithm with a reliability-constrained expected improvement (2023)A Kriging-assisted global rel…AK-PDEMi: A failure-informed enrichment algorithm for improving the AK-PDEM in reliability analysis (2022)AK-PDEMi: A failure-informed …A two-stage point selection strategy for probability density evolution method-based reliability analysis (2022)A two-stage point selection s…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)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)A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (2000)The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)Efficient computation of global sensitivity indices using sparse polynomial chaos expansions (2010)Exact and Invariant Second-Moment Code Format (1974)Method for Random Vibration of Hysteretic Systems (1976)Advances of the probability density evolution method for nonlinear stochastic systems (2011)A Nested Extreme Response Surface Approach for Time-Dependent Reliability-Based Design Optimization (2012)Random function based spectral representation of stationary and non-stationary stochastic processes (2016)A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (1979)Large Sample Properties of Simulations Using Latin Hypercube Sampling (1987)A critical appraisal of reliability estimation procedures for high dimensions (2004)Life-cycle performance, management, and optimisation of structural systems under uncertainty: accomplishments and challenges (2010)Structural reliability under combined random load sequences (1978)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)Global sensitivity analysis using polynomial chaos expansions (2007)An active-learning algorithm that combines sparse polynomial chaos expansions and bootstrap for structural reliability analysis (2018)The Future of Sensitivity Analysis: An essential discipline for systems modeling and policy support (2020)Toward SALib 2.0: Advancing the accessibility and interpretability of global sensitivity analyses (2022)A fast and efficient response surface approach for structural reliability problems (1990)Reliability analysis using object-oriented constrained optimization (2003)Methods of structural safety (2006)Evaluation of failure probability via surrogate models (2010)Review of uncertainty-based multidisciplinary design optimization methods for aerospace vehicles (2011)Automobile Prices in Market Equilibrium (1995)Latin hypercube sampling and the propagation of uncertainty in analyses of complex systems (2003)
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References

  • 2016Simulation and the Monte Carlo Method3,356 cited
  • 2001Estimation of small failure probabilities in high dimensions by subset simulation2,419 cited
  • 2011AK-MCS: An active learning reliability method combining Kriging and Monte Carlo Simulation2,048 cited
  • 2010Adaptive sparse polynomial chaos expansion based on least angle regression1,507 cited
  • 2008Efficient Global Reliability Analysis for Nonlinear Implicit Performance Functions1,141 cited
  • 2014UQLab: A Framework for Uncertainty Quantification in Matlab1,018 cited
  • 2009Stochastic Dynamics of Structures923 cited
  • 2002On Latin hypercube sampling for structural reliability analysis798 cited
  • 1999A general procedure for first/second-order reliabilitymethod (FORM/SORM)487 cited
  • 2006The equivalent extreme-value event and evaluation of the structural system reliability447 cited
  • 2016Assessing small failure probabilities by AK–SS: An active learning method combining Kriging and Subset Simulation412 cited
  • 2015A GF-discrepancy for point selection in stochastic seismic response analysis of structures with uncertain parameters410 cited
  • 2015A new learning function for Kriging and its applications to solve reliability problems in engineering400 cited
  • 2015POLYNOMIAL-CHAOS-BASED KRIGING398 cited

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  • 1998Multiple design points in first and second-order reliability385 cited
  • 1993A benchmark study on importance sampling techniques in structural reliability380 cited
  • Cited by

    • 2025A theoretically-consistent parallel enrichment strategy for Bayesian active learning reliability analysis23 cited
    • 2023A Kriging-assisted global reliability-based design optimization algorithm with a reliability-constrained expected improvement23 cited
    • 2022A two-stage point selection strategy for probability density evolution method-based reliability analysis20 cited
    • 2024Efficient reliability analysis of stochastic dynamic first-passage problems by probability density evolution analysis with subset supported point selection19 cited
    • 2023One-step look-ahead policy for active learning reliability analysis19 cited
    • 2022AK-PDEMi: A failure-informed enrichment algorithm for improving the AK-PDEM in reliability analysis15 cited
    • 2024Parallel active learning reliability analysis: A multi-point look-ahead paradigm15 cited
    • 2024Structural reliability analysis based on probability density evolution method and stepwise truncated variance reduction11 cited
    • 2025Multi-point active learning probability density evolution method11 cited
    • 2025Bayesian neural network based probability density evolution approach for efficient structural reliability analysis10 cited
    • 2025High-dimensional reliability estimation of engineered structures using deep networks and adaptive hierarchical learning9 cited