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RM5Tree: Radial basis M5 model tree for accurate structural reliability analysis
16 references·16 citing·37 second hopsampled
RM5Tree: Radial basis M5 model tree for accurate structural reliability analysis (2018)RM5Tree: Radial basis M5 model tree for a…An active-learning algorithm that combines sparse polynomial chaos expansions and bootstrap for structural reliability analysis (2018)An active-learning algorithm …An efficient reliability method combining adaptive Support Vector Machine and Monte Carlo Simulation (2017)An efficient reliability meth…LIF: A new Kriging based learning function and its application to structural reliability analysis (2016)LIF: A new Kriging based lear…Assessing small failure probabilities by AK–SS: An active learning method combining Kriging and Subset Simulation (2016)Assessing small failure proba…An improved adaptive kriging-based importance technique for sampling multiple failure regions of low probability (2014)An improved adaptive kriging-…A combined Importance Sampling and Kriging reliability method for small failure probabilities with time-demanding numerical models (2012)A combined Importance Samplin…AK-MCS: An active learning reliability method combining Kriging and Monte Carlo Simulation (2011)AK-MCS: An active learning re…Efficient computation of global sensitivity indices using sparse polynomial chaos expansions (2010)Efficient computation of glob…Polynomial chaos expansion for sensitivity analysis (2008)Polynomial chaos expansion fo…Application of kriging method to structural reliability problems (2004)Application of kriging method…A response surface method based on weighted regression for structural reliability analysis (2004)A response surface method bas…On Latin hypercube sampling for structural reliability analysis (2002)On Latin hypercube sampling f…Reliability analysis—a review and some perspectives (2001)Reliability analysis—a review…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…A fast and efficient response surface approach for structural reliability problems (1990)A fast and efficient response…Structural Expected Lifetime Estimation for Systems With Multiple Failure Modes Based on Adaptive Learning Kriging Models (2023)Structural Expected Lifetime …Novel learning functions design based on the probability of improvement criterion and normalization techniques (2022)Novel learning functions desi…Hybrid active learning method for non-probabilistic reliability analysis with multi-super-ellipsoidal model (2022)Hybrid active learning method…Reliability analysis of structures by a three-stage sequential sampling based adaptive support vector regression model (2021)Reliability analysis of struc…A Kriging-assisted sampling method for reliability analysis of structures with hybrid uncertainties (2021)A Kriging-assisted sampling m…Reliability analysis of pumping station for sewage network using hybrid neural networks - genetic algorithm and method of moment (2020)Reliability analysis of pumpi…Hybrid FORM-Sampling simulation method for finding design point and importance vector in structural reliability (2020)Hybrid FORM-Sampling simulati…Fuzzy reliability analysis of nanocomposite ZnO beams using hybrid analytical-intelligent method (2020)Fuzzy reliability analysis of…EEK-SYS: System reliability analysis through estimation error-guided adaptive Kriging approximation of multiple limit state surfaces (2020)EEK-SYS: System reliability a…An active learning Kriging-assisted method for reliability-based design optimization under distributional probability-box model (2020)An active learning Kriging-as…A hybrid sufficient performance measure approach to improve robustness and efficiency of reliability-based design optimization (2020)A hybrid sufficient performan…A composite-projection-outline-based approximation method for system reliability analysis with hybrid uncertainties (2020)A composite-projection-outlin…Reliability and reliability-based sensitivity analysis of shell and tube heat exchangers using Monte Carlo Simulation (2019)Reliability and reliability-b…A New Sequential Surrogate Method for Reliability Analysis and its Applications in Engineering (2019)A New Sequential Surrogate Me…A new method for reliability analysis of structures with mixed random and convex variables (2019)A new method for reliability …A bounding-limit-state-surface-based active learning Kriging method for hybrid reliability analysis under random and probability-box variables (2019)A bounding-limit-state-surfac…Exact and Invariant Second-Moment Code Format (1974)A critical appraisal of reliability estimation procedures for high dimensions (2004)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)Structural Reliability Analysis and Prediction (2017)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)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)Support vector machine in structural reliability analysis: A review (2023)Structural reliability under combined random load sequences (1978)A new learning function for Kriging and its applications to solve reliability problems in engineering (2015)The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)Latin hypercube sampling and the propagation of uncertainty in analyses of complex systems (2003)Data-driven uncertainty quantification using the arbitrary polynomial chaos expansion (2012)Stochastic analysis of the fracture toughness of polymeric nanoparticle composites using polynomial chaos expansions (2017)Sensitivity and uncertainty analysis for flexoelectric nanostructures (2018)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 Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (2000)Life-cycle performance, management, and optimisation of structural systems under uncertainty: accomplishments and challenges (2010)Reliability analysis using object-oriented constrained optimization (2003)Methods of structural safety (2006)Evaluation of failure probability via surrogate models (2010)The intrinsic random functions and their applications (1973)A new adaptive sequential sampling method to construct surrogate models for efficient reliability analysis (2017)REIF: A novel active-learning function toward adaptive Kriging surrogate models for structural reliability analysis (2019)Machine learning-based methods in structural reliability analysis: A review (2021)
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References

  • 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
  • 1990A fast and efficient response surface approach for structural reliability problems1,198 cited
  • 2002On Latin hypercube sampling for structural reliability analysis798 cited
  • 2001Reliability analysis—a review and some perspectives775 cited
  • 2008Polynomial chaos expansion for sensitivity analysis747 cited
  • 2004Application of kriging method to structural reliability problems709 cited
  • 2012A combined Importance Sampling and Kriging reliability method for small failure probabilities with time-demanding numerical models692 cited
  • 1999A general procedure for first/second-order reliabilitymethod (FORM/SORM)487 cited
  • 2016LIF: A new Kriging based learning function and its application to structural reliability analysis444 cited
  • 2016Assessing small failure probabilities by AK–SS: An active learning method combining Kriging and Subset Simulation412 cited
  • 2010Efficient computation of global sensitivity indices using sparse polynomial chaos expansions383 cited
  • 2018An active-learning algorithm that combines sparse polynomial chaos expansions and bootstrap for structural reliability analysis308 cited
  • 2017

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An efficient reliability method combining adaptive Support Vector Machine and Monte Carlo Simulation
290 cited
  • 2004A response surface method based on weighted regression for structural reliability analysis289 cited
  • 2014An improved adaptive kriging-based importance technique for sampling multiple failure regions of low probability278 cited
  • Cited by

    • 2020A hybrid sufficient performance measure approach to improve robustness and efficiency of reliability-based design optimization61 cited
    • 2020EEK-SYS: System reliability analysis through estimation error-guided adaptive Kriging approximation of multiple limit state surfaces59 cited
    • 2021Reliability analysis of structures by a three-stage sequential sampling based adaptive support vector regression model52 cited
    • 2020Reliability analysis of pumping station for sewage network using hybrid neural networks - genetic algorithm and method of moment40 cited
    • 2022Hybrid active learning method for non-probabilistic reliability analysis with multi-super-ellipsoidal model39 cited
    • 2019A new method for reliability analysis of structures with mixed random and convex variables33 cited
    • 2021A Kriging-assisted sampling method for reliability analysis of structures with hybrid uncertainties32 cited
    • 2020Fuzzy reliability analysis of nanocomposite ZnO beams using hybrid analytical-intelligent method30 cited
    • 2019Reliability and reliability-based sensitivity analysis of shell and tube heat exchangers using Monte Carlo Simulation30 cited
    • 2020An active learning Kriging-assisted method for reliability-based design optimization under distributional probability-box model20 cited
    • 2023Structural Expected Lifetime Estimation for Systems With Multiple Failure Modes Based on Adaptive Learning Kriging Models18 cited
    • 2019A New Sequential Surrogate Method for Reliability Analysis and its Applications in Engineering18 cited
    • 2022Novel learning functions design based on the probability of improvement criterion and normalization techniques15 cited
    • 2019A bounding-limit-state-surface-based active learning Kriging method for hybrid reliability analysis under random and probability-box variables15 cited
    • 2020Hybrid FORM-Sampling simulation method for finding design point and importance vector in structural reliability14 cited
    • 2020A composite-projection-outline-based approximation method for system reliability analysis with hybrid uncertainties14 cited