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On dimensionality reduction via partial least squares for Kriging-based reliability analysis with active learning
16 references·13 citing·27 second hop
On dimensionality reduction via partial least squares for Kriging-based reliability analysis with active learning (2021)On dimensionality reduction via partial l…REIF: A novel active-learning function toward adaptive Kriging surrogate models for structural reliability analysis (2019)REIF: A novel active-learning…An active-learning algorithm that combines sparse polynomial chaos expansions and bootstrap for structural reliability analysis (2018)An active-learning algorithm …Structural Reliability Analysis and Prediction (2017)Structural Reliability Analys…Rare Event Estimation Using Polynomial-Chaos Kriging (2016)Rare Event Estimation Using P…LIF: A new Kriging based learning function and its application to structural reliability analysis (2016)LIF: A new Kriging based lear…Assessment of the efficiency of Kriging surrogate models for structural reliability analysis (2014)Assessment of the efficiency …AK-SYS: An adaptation of the AK-MCS method for system reliability (2013)AK-SYS: An adaptation of the …Assessing small failure probabilities by combined subset simulation and Support Vector Machines (2011)Assessing small failure proba…AK-MCS: An active learning reliability method combining Kriging and Monte Carlo Simulation (2011)AK-MCS: An active learning re…Efficient Global Reliability Analysis for Nonlinear Implicit Performance Functions (2008)Efficient Global Reliability …Reliability analysis—a review and some perspectives (2001)Reliability analysis—a review…Neural-network-based reliability analysis: a comparative study (2001)Neural-network-based reliabil…Estimation of small failure probabilities in high dimensions by subset simulation (2001)Estimation of small failure p…Optimal Discretization of Random Fields (1993)Optimal Discretization of Ran…Structural reliability under combined random load sequences (1978)Structural reliability under …Exact and Invariant Second-Moment Code Format (1974)Exact and Invariant Second-Mo…An active learning method combining MRBF model and dimension-reduction importance sampling for reliability analysis with high dimensionality and very small failure probability (2025)An active learning method com…An active learning method based on Monte Carlo dropout neural network for high-dimensional reliability analysis (2025)An active learning method bas…AK–TSAGL: A two-stage hybrid algorithm combining global exploration and local exploitation based on active learning for structural reliability analysis (2024)AK–TSAGL: A two-stage hybrid …A novel active learning method based on matrix-operation RBF model for high-dimensional reliability analysis (2024)A novel active learning metho…Uncertainty quantification in low-probability response estimation using sliced inverse regression and polynomial chaos expansion (2023)Uncertainty quantification in…Partial least squares-based polynomial chaos Kriging for high-dimensional reliability analysis (2023)Partial least squares-based p…Multi-polynomial chaos Kriging-based adaptive moving strategy for comprehensive reliability analyses (2023)Multi-polynomial chaos Krigin…Gaussian process regression based on deep neural network for reliability analysis in high dimensions (2023)Gaussian process regression b…Adaptive vectorial surrogate modeling framework for multi-objective reliability estimation (2023)Adaptive vectorial surrogate …A novel method for high-dimensional reliability analysis based on activity score and adaptive Kriging (2023)A novel method for high-dimen…A new active-learning estimation method for the failure probability of structural reliability based on Kriging model and simple penalty function (2023)A new active-learning estimat…Efficient reliability-based design optimization for hydraulic pipeline with adaptive sampling region (2022)Efficient reliability-based d…A reliability analysis method based on adaptive Kriging and partial least squares (2022)A reliability analysis method…Review of uncertainty-based multidisciplinary design optimization methods for aerospace vehicles (2011)Metamodel-based importance sampling for structural reliability analysis (2013)The Logic of Scientific Discovery (2013)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)Structural Reliability Methods (1996)Kriging metamodeling in simulation: A review (2007)A critical appraisal of reliability estimation procedures for high dimensions (2004)Assessing small failure probabilities by AK–SS: An active learning method combining Kriging and Subset Simulation (2016)Machine learning-based methods in structural reliability analysis: A review (2021)Structural Reliability under Incomplete Probability Information (1986)Uncertainties in probabilistic numerical analysis of structures and solids-Stochastic finite elements (1997)Convergence study of the truncated Karhunen–Loeve expansion for simulation of stochastic processes (2001)The PHI2 method: a way to compute time-variant reliability (2003)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)The intrinsic random functions and their applications (1973)A new adaptive sequential sampling method to construct surrogate models for efficient reliability analysis (2017)Uncertainties in risk analysis: Six levels of treatment (1996)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)
this work references cited by second hop

References

  • 2017Structural Reliability Analysis and Prediction3,780 cited
  • 1974Exact and Invariant Second-Moment Code Format3,138 cited
  • 2001Estimation of small failure probabilities in high dimensions by subset simulation2,419 cited
  • 1978Structural reliability under combined random load sequences2,229 cited
  • 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
  • 2001Reliability analysis—a review and some perspectives775 cited
  • 1993Optimal Discretization of Random Fields728 cited
  • 2016LIF: A new Kriging based learning function and its application to structural reliability analysis444 cited
  • 2011Assessing small failure probabilities by combined subset simulation and Support Vector Machines419 cited
  • 2018An active-learning algorithm that combines sparse polynomial chaos expansions and bootstrap for structural reliability analysis308 cited
  • 2019REIF: A novel active-learning function toward adaptive Kriging surrogate models for structural reliability analysis297 cited
  • 2016Rare Event Estimation Using Polynomial-Chaos Kriging279 cited
  • 2013AK-SYS: An adaptation of the AK-MCS method for system reliability277 cited

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  • 2001Neural-network-based reliability analysis: a comparative study271 cited
  • 2014Assessment of the efficiency of Kriging surrogate models for structural reliability analysis222 cited
  • Cited by

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    • 2025An active learning method based on Monte Carlo dropout neural network for high-dimensional reliability analysis33 cited
    • 2023Partial least squares-based polynomial chaos Kriging for high-dimensional reliability analysis29 cited
    • 2023Uncertainty quantification in low-probability response estimation using sliced inverse regression and polynomial chaos expansion29 cited
    • 2024A novel active learning method based on matrix-operation RBF model for high-dimensional reliability analysis25 cited
    • 2023Gaussian process regression based on deep neural network for reliability analysis in high dimensions24 cited
    • 2025An active learning method combining MRBF model and dimension-reduction importance sampling for reliability analysis with high dimensionality and very small failure probability22 cited
    • 2023A novel method for high-dimensional reliability analysis based on activity score and adaptive Kriging21 cited
    • 2022Efficient reliability-based design optimization for hydraulic pipeline with adaptive sampling region20 cited
    • 2023Multi-polynomial chaos Kriging-based adaptive moving strategy for comprehensive reliability analyses20 cited
    • 2022A reliability analysis method based on adaptive Kriging and partial least squares16 cited
    • 2024AK–TSAGL: A two-stage hybrid algorithm combining global exploration and local exploitation based on active learning for structural reliability analysis14 cited