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Structural reliability analysis based on neural networks with physics-informed training samples
11 references·2 citing·45 second hopsampled
Structural reliability analysis based on neural networks with physics-informed training samples (2023)Structural reliability analysis based on …Adaptive Kriging-based failure probability estimation for multiple responses (2022)Adaptive Kriging-based failur…Support vector regression based metamodeling for structural reliability analysis (2018)Support vector regression bas…Improved Kriging with extremum response surface method for structural dynamic reliability and sensitivity analyses (2018)Improved Kriging with extremu…Time-variant global reliability sensitivity analysis of structures with both input random variables and stochastic processes (2016)Time-variant global reliabili…Efficient structural reliability analysis method based on advanced Kriging model (2014)Efficient structural reliabil…Metamodel-based importance sampling for structural reliability analysis (2013)Metamodel-based importance sa…An improved response surface method for reliability analysis of structures (2012)An improved response surface …AK-MCS: An active learning reliability method combining Kriging and Monte Carlo Simulation (2011)AK-MCS: An active learning re…Subset simulation for structural reliability sensitivity analysis (2008)Subset simulation for structu…Structural reliability analysis using Monte Carlo simulation and neural networks (2007)Structural reliability analys…Computational methods for efficient structural reliability and reliability sensitivity analysis (1994)Computational methods for eff…Spatiotemporal-dependent reliability analysis with adaptive sampling physics-informed neural networks (2025)Spatiotemporal-dependent reli…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…Exact and Invariant Second-Moment Code Format (1974)Structural Reliability Theory and Its Applications (1982)Structural reliability analyis of elastic-plastic structures using neural networks and Monte Carlo simulation (1996)Assessment of the efficiency of Kriging surrogate models for structural reliability analysis (2014)Adaptive surrogate model with active refinement combining Kriging and a trust region method (2017)Monte Carlo and variance reduction methods for structural reliability analysis: A comprehensive review (2023)Estimation of small failure probabilities in high dimensions by subset simulation (2001)Reliability of structures in high dimensions, part I: algorithms and applications (2004)Global sensitivity analysis-enhanced surrogate (GSAS) modeling for reliability analysis (2015)Stochastic Finite Elements: A Spectral Approach (1991)Structural Reliability Methods (1996)Kriging metamodeling in simulation: A review (2007)A combined Importance Sampling and Kriging reliability method for small failure probabilities with time-demanding numerical models (2012)LIF: A new Kriging based learning function and its application to structural reliability analysis (2016)A fast and efficient response surface approach for structural reliability problems (1990)Methods of structural safety (2006)A general failure-pursuing sampling framework for surrogate-based reliability analysis (2018)AK-SYSi: an improved adaptive Kriging model for system reliability analysis with multiple failure modes by a refined U learning function (2018)A novel learning function for adaptive surrogate-model-based reliability evaluation (2023)Second‐Order Reliability Approximations (1987)Importance sampling in structural systems (1989)Advanced probabilistic structural analysis method for implicit performance functions (1990)Reliability-based design optimization for crashworthiness of vehicle side impact (2004)A survey on approaches for reliability-based optimization (2010)A new learning function for Kriging and its applications to solve reliability problems in engineering (2015)Global sensitivity indices for nonlinear mathematical models and their Monte Carlo estimates (2001)Cross-covariance based global dynamic sensitivity analysis (2017)Time-variant reliability analysis based on high dimensional model representation (2019)Reliability-oriented global sensitivity analysis using subset simulation and space partition (2023)Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (1979)Design and Analysis of Computer Experiments (1989)A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (2000)Dynamic reliability analysis using the extended support vector regression (X-SVR) (2019)Moving extremum surrogate modeling strategy for dynamic reliability estimation of turbine blisk with multi-physics fields (2020)Probabilistic analyses of structural dynamic response with modified Kriging-based moving extremum framework (2021)The Design and Analysis of Computer Experiments (2003)Another look at measures of forecast accuracy (2006)A combined radial basis function and adaptive sequential sampling method for structural reliability analysis (2020)Novel hybrid robust method for uncertain reliability analysis using finite conjugate map (2020)Support vector regression based metamodel by sequential adaptive sampling for reliability analysis of structures (2020)POLYNOMIAL-CHAOS-BASED KRIGING (2015)Machine learning-based methods in structural reliability analysis: A review (2021)An error-based stopping criterion for spherical decomposition-based adaptive Kriging model and rare event estimation (2023)CSP-free adaptive Kriging surrogate model method for reliability analysis with small failure probability (2023)Surrogate modeling for probability distribution estimation: Uniform or adaptive design? (2025)
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References

  • 2011AK-MCS: An active learning reliability method combining Kriging and Monte Carlo Simulation2,048 cited
  • 2013Metamodel-based importance sampling for structural reliability analysis535 cited
  • 1994Computational methods for efficient structural reliability and reliability sensitivity analysis388 cited
  • 2008Subset simulation for structural reliability sensitivity analysis284 cited
  • 2007Structural reliability analysis using Monte Carlo simulation and neural networks245 cited
  • 2014Efficient structural reliability analysis method based on advanced Kriging model188 cited
  • 2018Support vector regression based metamodeling for structural reliability analysis122 cited
  • 2018Improved Kriging with extremum response surface method for structural dynamic reliability and sensitivity analyses110 cited
  • 2016Time-variant global reliability sensitivity analysis of structures with both input random variables and stochastic processes43 cited
  • 2022Adaptive Kriging-based failure probability estimation for multiple responses30 cited
  • 2012An improved response surface method for reliability analysis of structures28 cited

Cited by

  • 2025ASVR-GPSO: a novel hybrid active support vector regression and global-best partial swarm optimization for structural reliability analysis26 cited
  • 2025Spatiotemporal-dependent reliability analysis with adaptive sampling physics-informed neural networks

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12 cited