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A reliability analysis method based on adaptive Kriging and partial least squares
16 references·3 citing·32 second hop
A reliability analysis method based on adaptive Kriging and partial least squares (2022)A reliability analysis method based on ad…An active-learning algorithm that combines sparse polynomial chaos expansions and bootstrap for structural reliability analysis (2018)An active-learning algorithm …Assessing small failure probabilities by AK–SS: An active learning method combining Kriging and Subset Simulation (2016)Assessing small failure proba…AK-SYS: An adaptation of the AK-MCS method for system reliability (2013)AK-SYS: An adaptation of the …A combined Importance Sampling and Kriging reliability method for small failure probabilities with time-demanding numerical models (2012)A combined Importance Samplin…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…Adaptive sparse polynomial chaos expansion based on least angle regression (2010)Adaptive sparse polynomial ch…Efficient Global Reliability Analysis for Nonlinear Implicit Performance Functions (2008)Efficient Global Reliability …Reliability of structures in high dimensions, part I: algorithms and applications (2004)Reliability of structures in …First- and Second-Order Reliability Methods (2004)First- and Second-Order Relia…Moment methods for structural reliability (2001)Moment methods for structural…Estimation of small failure probabilities in high dimensions by subset simulation (2001)Estimation of small failure p…Importance sampling in structural systems (1989)Importance sampling in struct…Quadratic Limit States in Structural Reliability (1979)Quadratic Limit States in Str…Structural reliability under combined random load sequences (1978)Structural reliability under …Exact and Invariant Second-Moment Code Format (1974)Exact and Invariant Second-Mo…Reliability analysis method for multiple failure modes with overlapping failure domains (2025)Reliability analysis method f…An improved AK-IS based on the adaptive radial-based importance sampling for reliability analysis (2025)An improved AK-IS based on th…Incremental learning of parameter spaces in machine-learning based reliability analysis (2024)Incremental learning of param…A fast and efficient response surface approach for structural reliability problems (1990)Methods of structural safety (2006)Efficient Spreadsheet Algorithm for First-Order Reliability Method (2007)Review of uncertainty-based multidisciplinary design optimization methods for aerospace vehicles (2011)Structural reliability analysis based on the concepts of entropy, fractional moment and dimensional reduction method (2013)Simulation and the Monte Carlo Method (1981)The stochastic finite element method: Past, present and future (2008)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)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)UQLab: A Framework for Uncertainty Quantification in Matlab (2014)POLYNOMIAL-CHAOS-BASED KRIGING (2015)Reliability analysis—a review and some perspectives (2001)A critical appraisal of reliability estimation procedures for high dimensions (2004)Machine learning-based methods in structural reliability analysis: A review (2021)A new adaptive importance sampling scheme for reliability calculations (1999)A univariate dimension-reduction method for multi-dimensional integration in stochastic mechanics (2004)Structural Reliability Analysis and Prediction (2017)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)Narrow Reliability Bounds for Structural Systems (1979)Latin hypercube sampling and the propagation of uncertainty in analyses of complex systems (2003)Sequential Optimization and Reliability Assessment Method for Efficient Probabilistic Design (2004)A new learning function for Kriging and its applications to solve reliability problems in engineering (2015)
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References

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  • 1978Structural reliability under combined random load sequences2,229 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
  • 2012A combined Importance Sampling and Kriging reliability method for small failure probabilities with time-demanding numerical models692 cited
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  • 1979Quadratic Limit States in Structural Reliability388 cited
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  • 2018An active-learning algorithm that combines sparse polynomial chaos expansions and bootstrap for structural reliability analysis

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308 cited
  • 2013AK-SYS: An adaptation of the AK-MCS method for system reliability277 cited
  • 2004First- and Second-Order Reliability Methods215 cited
  • Cited by

    • 2024Incremental learning of parameter spaces in machine-learning based reliability analysis16 cited
    • 2025An improved AK-IS based on the adaptive radial-based importance sampling for reliability analysis13 cited
    • 2025Reliability analysis method for multiple failure modes with overlapping failure domains10 cited