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An efficient method by nesting adaptive Kriging into Importance Sampling for failure-probability-based global sensitivity analysis
16 references·1 citing·34 second hop
An efficient method by nesting adaptive Kriging into Importance Sampling for failure-probability-based global sensitivity analysis (2021)An efficient method by nesting adaptive K…Reliability analysis with Metamodel Line Sampling (2016)Reliability analysis with Met…Assessing small failure probabilities by AK–SS: An active learning method combining Kriging and Subset Simulation (2016)Assessing small failure proba…A new learning function for Kriging and its applications to solve reliability problems in engineering (2015)A new learning function for K…An improved adaptive kriging-based importance technique for sampling multiple failure regions of low probability (2014)An improved adaptive kriging-…Structural reliability analysis based on the concepts of entropy, fractional moment and dimensional reduction method (2013)Structural reliability analys…Metamodel-based importance sampling for structural reliability analysis (2013)Metamodel-based importance sa…Moment-independent importance measure of basic variable and its state dependent parameter solution (2012)Moment-independent importance…Efficient sampling methods for global reliability sensitivity analysis (2012)Efficient sampling methods fo…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…Moment-independent importance measure of basic random variable and its probability density evolution solution (2010)Moment-independent importance…Subset simulation for structural reliability sensitivity analysis (2008)Subset simulation for structu…Moment methods for structural reliability (2001)Moment methods for structural…A benchmark study on importance sampling techniques in structural reliability (1993)A benchmark study on importan…Observations on applications of importance sampling in structural reliability analysis (1991)Observations on applications …Structural reliability under combined random load sequences (1978)Structural reliability under …Reliability and global sensitivity analysis based on importance directional sampling and adaptive Kriging model (2023)Reliability and global sensit…Stochastic Finite Elements: A Spectral Approach (1991)Estimation of small failure probabilities in high dimensions by subset simulation (2001)Adaptive approaches in metamodel-based reliability analysis: A review (2020)Machine learning-based methods in structural reliability analysis: A review (2021)Active learning for structural reliability: Survey, general framework and benchmark (2022)Exact and Invariant Second-Moment Code Format (1974)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)Computational methods for efficient structural reliability and reliability sensitivity analysis (1994)Reliability of structures in high dimensions, part I: algorithms and applications (2004)Global sensitivity analysis-enhanced surrogate (GSAS) modeling for reliability analysis (2015)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)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)General foundations of high‐dimensional model representations (1999)AKOIS: An adaptive Kriging oriented importance sampling method for structural system reliability analysis (2019)REIF: A novel active-learning function toward adaptive Kriging surrogate models for structural reliability analysis (2019)Recent Advances in Surrogate Modeling Methods for Uncertainty Quantification and Propagation (2022)Importance sampling in structural systems (1989)Optimization algorithms for structural reliability (1991)Important sampling in high dimensions (2002)Application of subset simulation methods to reliability benchmark problems (2006)A comparative study of uncertainty propagation methods for black-box-type problems (2008)Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (1979)A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (2000)Simulation and the Monte Carlo Method (2016)Design and Analysis of Computer Experiments (1989)POLYNOMIAL-CHAOS-BASED KRIGING (2015)Latin hypercube sampling and the propagation of uncertainty in analyses of complex systems (2003)Efficient Global Reliability Analysis for Nonlinear Implicit Performance Functions (2008)
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References

  • 1978Structural reliability under combined random load sequences2,229 cited
  • 2011AK-MCS: An active learning reliability method combining Kriging and Monte Carlo Simulation2,048 cited
  • 2012A combined Importance Sampling and Kriging reliability method for small failure probabilities with time-demanding numerical models692 cited
  • 2001Moment methods for structural reliability633 cited
  • 2013Metamodel-based importance sampling for structural reliability analysis535 cited
  • 2016Assessing small failure probabilities by AK–SS: An active learning method combining Kriging and Subset Simulation412 cited
  • 2015A new learning function for Kriging and its applications to solve reliability problems in engineering400 cited
  • 1993A benchmark study on importance sampling techniques in structural reliability380 cited
  • 2013Structural reliability analysis based on the concepts of entropy, fractional moment and dimensional reduction method309 cited
  • 2008Subset simulation for structural reliability sensitivity analysis284 cited
  • 2014An improved adaptive kriging-based importance technique for sampling multiple failure regions of low probability278 cited
  • 2012Efficient sampling methods for global reliability sensitivity analysis157 cited
  • 2010Moment-independent importance measure of basic random variable and its probability density evolution solution152 cited

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2012
Moment-independent importance measure of basic variable and its state dependent parameter solution
146 cited
  • 2016Reliability analysis with Metamodel Line Sampling103 cited
  • 1991Observations on applications of importance sampling in structural reliability analysis101 cited
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    • 2023Reliability and global sensitivity analysis based on importance directional sampling and adaptive Kriging model10 cited