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Structural reliability analysis by a Bayesian sparse polynomial chaos expansion
16 references·10 citing·33 second hop
Structural reliability analysis by a Bayesian sparse polynomial chaos expansion (2021)Structural reliability analysis by a Baye…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 combined subset simulation and Support Vector Machines (2011)Assessing small failure proba…Adaptive sparse polynomial chaos expansion based on least angle regression (2010)Adaptive sparse polynomial ch…An adaptive algorithm to build up sparse polynomial chaos expansions for stochastic finite element analysis (2009)An adaptive algorithm to buil…Application of subset simulation methods to reliability benchmark problems (2006)Application of subset simulat…Application of line sampling simulation method to reliability benchmark problems (2006)Application of line sampling …Application of kriging method to structural reliability problems (2004)Application of kriging method…The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)The Wiener--Askey Polynomial …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 new adaptive importance sampling scheme for reliability calculations (1999)A new adaptive importance sam…A benchmark study on importance sampling techniques in structural reliability (1993)A benchmark study on importan…Optimization algorithms for structural reliability (1991)Optimization algorithms for s…A fast and efficient response surface approach for structural reliability problems (1990)A fast and efficient response…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 of structures by multiple sparse polynomial chaos expansion based adaptive metamodel (2025)Reliability analysis of struc…Combined dimensionality reduction based adaptive polynomial chaos expansion for high-dimensional reliability analysis (2025)Combined dimensionality reduc…ASVR-GPSO: a novel hybrid active support vector regression and global-best partial swarm optimization for structural reliability analysis (2025)ASVR-GPSO: a novel hybrid act…A hybrid polynomial chaos expansion – Gaussian process regression method for Bayesian uncertainty quantification and sensitivity analysis (2025)A hybrid polynomial chaos exp…An enhanced learning function for bootstrap polynomial chaos expansion-based enhanced active learning algorithm for reliability analysis of structure (2024)An enhanced learning function…Fast Uncertainty Quantification by Sparse Data Learning From Multiphysics Systems (2023)Fast Uncertainty Quantificati…An active sparse polynomial chaos expansion approach based on sequential relevance vector machine (2023)An active sparse polynomial c…Advanced virtual model assisted most probable point capturing method for engineering structures (2023)Advanced virtual model assist…A novel response surface method for structural reliability (2022)A novel response surface meth…Reliability analysis model of time-dependent multi-mode system under fuzzy uncertainty: Applied to undercarriage structures (2021)Reliability analysis model of…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)A new look at the response surface approach for reliability analysis (1993)Response Surface Methodology (1996)Moment methods for structural reliability (2001)On the Experimental Attainment of Optimum Conditions (1951)On the Experimental Attainment of Optimum Conditions (1992)Metamodel-based importance sampling for structural reliability analysis (2013)Support vector machine in structural reliability analysis: A review (2023)Stochastic Finite Elements: A Spectral Approach (1991)High-Order Collocation Methods for Differential Equations with Random Inputs (2005)A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (2000)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-based optimization in structural engineering (1994)Hybrid Analysis Method for Reliability-Based Design Optimization (2003)Methods of structural safety (2006)Structural Reliability Methods (1996)Global sensitivity analysis using polynomial chaos expansions (2007)Reliability-based design optimization using kriging surrogates and subset simulation (2011)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 (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)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)Efficient Global Reliability Analysis for Nonlinear Implicit Performance Functions (2008)
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References

  • 2002The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations4,821 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
  • 2010Adaptive sparse polynomial chaos expansion based on least angle regression1,507 cited
  • 1990A fast and efficient response surface approach for structural reliability problems1,198 cited
  • 2009An adaptive algorithm to build up sparse polynomial chaos expansions for stochastic finite element analysis834 cited
  • 2002On Latin hypercube sampling for structural reliability analysis798 cited
  • 2004Application of kriging method to structural reliability problems709 cited
  • 1991Optimization algorithms for structural reliability644 cited
  • 1999A new adaptive importance sampling scheme for reliability calculations564 cited
  • 2011Assessing small failure probabilities by combined subset simulation and Support Vector Machines419 cited
  • 1993A benchmark study on importance sampling techniques in structural reliability380 cited
  • 2018An active-learning algorithm that combines sparse polynomial chaos expansions and bootstrap for structural reliability analysis

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308 cited
  • 2006Application of line sampling simulation method to reliability benchmark problems292 cited
  • 2006Application of subset simulation methods to reliability benchmark problems285 cited
  • Cited by

    • 2025ASVR-GPSO: a novel hybrid active support vector regression and global-best partial swarm optimization for structural reliability analysis26 cited
    • 2023Advanced virtual model assisted most probable point capturing method for engineering structures20 cited
    • 2024An enhanced learning function for bootstrap polynomial chaos expansion-based enhanced active learning algorithm for reliability analysis of structure19 cited
    • 2025A hybrid polynomial chaos expansion – Gaussian process regression method for Bayesian uncertainty quantification and sensitivity analysis18 cited
    • 2022A novel response surface method for structural reliability17 cited
    • 2025Combined dimensionality reduction based adaptive polynomial chaos expansion for high-dimensional reliability analysis15 cited
    • 2025Reliability analysis of structures by multiple sparse polynomial chaos expansion based adaptive metamodel15 cited
    • 2021Reliability analysis model of time-dependent multi-mode system under fuzzy uncertainty: Applied to undercarriage structures14 cited
    • 2023An active sparse polynomial chaos expansion approach based on sequential relevance vector machine12 cited
    • 2023Fast Uncertainty Quantification by Sparse Data Learning From Multiphysics Systems10 cited