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Structural Reliability Assessment by Local Approximation of Limit State Functions Using Adaptive Markov Chain Simulation and Support Vector Regression
13 references·16 citing·37 second hop
Structural Reliability Assessment by Local Approximation of Limit State Functions Using Adaptive Markov Chain Simulation and Support Vector Regression (2012)Structural Reliability Assessment by Loca…Structural Reliability Analysis and Prediction (2017)Structural Reliability Analys…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…A comparison of approximate response functions in structural reliability analysis (2007)A comparison of approximate r…Reliability analysis of structures using neural network method (2005)Reliability analysis of struc…Structural reliability assessment based on particles swarm optimization (2004)Structural reliability assess…An examination of methods for approximating implicit limit state functions from the viewpoint of statistical learning theory (2003)An examination of methods for…Effect of response surface parameter variation on structural reliability estimates (2001)Effect of response surface pa…A new adaptive importance sampling scheme for reliability calculations (1999)A new adaptive importance sam…Response surface method using vector projected sampling points (1997)Response surface method using…A new look at the response surface approach for reliability analysis (1993)A new look at the response su…Efficient Algorithm for Second‐Order Reliability Analysis (1991)Efficient Algorithm for Secon…A fast and efficient response surface approach for structural reliability problems (1990)A fast and efficient response…Subset simulation with adaptable intermediate failure probability for robust reliability analysis: an unsupervised learning-based approach (2022)Subset simulation with adapta…Limit state Kriging modeling for reliability-based design optimization through classification uncertainty quantification (2022)Limit state Kriging modeling …An enhanced PDEM-based framework for reliability analysis of structures considering multiple failure modes and limit states (2022)An enhanced PDEM-based framew…Reliability based design optimization of bridges considering bridge-vehicle interaction by Kriging surrogate model (2021)Reliability based design opti…Efficient structural reliability analysis based on adaptive Bayesian support vector regression (2021)Efficient structural reliabil…Support vector regression based metamodel by sequential adaptive sampling for reliability analysis of structures (2020)Support vector regression bas…Highly efficient Bayesian updating using metamodels: An adaptive Kriging-based approach (2020)Highly efficient Bayesian upd…Structural reliability and reliability sensitivity analysis of extremely rare failure events by combining sampling and surrogate model methods (2019)Structural reliability and re…Probability and interval hybrid reliability analysis based on adaptive local approximation of projection outlines using support vector machine (2019)Probability and interval hybr…A combined projection-outline-based active learning Kriging and adaptive importance sampling method for hybrid reliability analysis with small failure probabilities (2018)A combined projection-outline…Sliced inverse regression-based sparse polynomial chaos expansions for reliability analysis in high dimensions (2017)Sliced inverse regression-bas…A Wavelet Support Vector Machine‐Based Neural Network Metamodel for Structural Reliability Assessment (2017)A Wavelet Support Vector Mach…Unified reliability analysis by active learning Kriging model combining with random‐set based Monte Carlo simulation method (2016)Unified reliability analysis …Hierarchical Refinement of Latin Hypercube Samples (2014)Hierarchical Refinement of La…A multiwavelet support vector regression method for efficient reliability assessment (2014)A multiwavelet support vector…A Multiwavelet Neural Network‐Based Response Surface Method for Structural Reliability Analysis (2014)A Multiwavelet Neural Network…Structural Reliability Theory and Its Applications (1982)Probability, reliability and statistical methods in engineering design (1999)A new artificial neural network-based response surface method for structural reliability analysis (2007)A new adaptive response surface method for reliability analysis (2012)Machine learning model for Bitcoin exchange rate prediction using economic and technology determinants (2020)Exact and Invariant Second-Moment Code Format (1974)Response Surface Methodology (1996)Moment methods for structural reliability (2001)Application of kriging method to structural reliability problems (2004)A combined Importance Sampling and Kriging reliability method for small failure probabilities with time-demanding numerical models (2012)Simulation and the Monte Carlo Method (1981)Optimization algorithms for structural reliability (1991)Metamodel-based importance sampling for structural reliability analysis (2013)MCMC algorithms for Subset Simulation (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)LIF: A new Kriging based learning function and its application to structural reliability analysis (2016)Structural reliability under combined random load sequences (1978)Structural Reliability under Incomplete Probability Information (1986)First- and Second-Order Reliability Methods (2004)Active learning for structural reliability: Survey, general framework and benchmark (2022)Monte Carlo and variance reduction methods for structural reliability analysis: A comprehensive review (2023)Response‐Surface Approach for Reliability Analysis (1989)Monte Carlo techniques in computational stochastic mechanics (1998)A response surface method based on weighted regression for structural reliability analysis (2004)Review and application of Artificial Neural Networks models in reliability analysis of steel structures (2014)Estimation of small failure probabilities in high dimensions by subset simulation (2001)Reliability analysis—a review and some perspectives (2001)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)Uncertainties in risk analysis: Six levels of treatment (1996)Sequential Optimization and Reliability Assessment Method for Efficient Probabilistic Design (2004)A fast approximate method for parameter sensitivity estimation in Monte Carlo structural reliability (2003)An improvement of the response surface method (2011)
this work references cited by second hop

References

  • 2017Structural Reliability Analysis and Prediction3,780 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
  • 1993A new look at the response surface approach for reliability analysis733 cited
  • 1999A new adaptive importance sampling scheme for reliability calculations564 cited
  • 2011Assessing small failure probabilities by combined subset simulation and Support Vector Machines419 cited
  • 1997Response surface method using vector projected sampling points413 cited
  • 1991Efficient Algorithm for Second‐Order Reliability Analysis293 cited
  • 2001Effect of response surface parameter variation on structural reliability estimates235 cited
  • 2005Reliability analysis of structures using neural network method197 cited
  • 2003An examination of methods for approximating implicit limit state functions from the viewpoint of statistical learning theory176 cited
  • 2007A comparison of approximate response functions in structural reliability analysis158 cited
  • 2004Structural reliability assessment based on particles swarm optimization149 cited

Cited by

  • 2018A combined projection-outline-based active learning Kriging and adaptive importance sampling method for hybrid reliability analysis with small failure probabilities

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144 cited
  • 2017A Wavelet Support Vector Machine‐Based Neural Network Metamodel for Structural Reliability Assessment125 cited
  • 2020Support vector regression based metamodel by sequential adaptive sampling for reliability analysis of structures107 cited
  • 2017Sliced inverse regression-based sparse polynomial chaos expansions for reliability analysis in high dimensions99 cited
  • 2021Efficient structural reliability analysis based on adaptive Bayesian support vector regression79 cited
  • 2014A Multiwavelet Neural Network‐Based Response Surface Method for Structural Reliability Analysis76 cited
  • 2019Probability and interval hybrid reliability analysis based on adaptive local approximation of projection outlines using support vector machine74 cited
  • 2022Subset simulation with adaptable intermediate failure probability for robust reliability analysis: an unsupervised learning-based approach74 cited
  • 2022Limit state Kriging modeling for reliability-based design optimization through classification uncertainty quantification66 cited
  • 2014A multiwavelet support vector regression method for efficient reliability assessment63 cited
  • 2019Structural reliability and reliability sensitivity analysis of extremely rare failure events by combining sampling and surrogate model methods59 cited
  • 2014Hierarchical Refinement of Latin Hypercube Samples57 cited
  • 2021Reliability based design optimization of bridges considering bridge-vehicle interaction by Kriging surrogate model53 cited
  • 2016Unified reliability analysis by active learning Kriging model combining with random‐set based Monte Carlo simulation method53 cited
  • 2020Highly efficient Bayesian updating using metamodels: An adaptive Kriging-based approach53 cited
  • 2022An enhanced PDEM-based framework for reliability analysis of structures considering multiple failure modes and limit states52 cited