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AK-MSS: An adaptation of the AK-MCS method for small failure probabilities
16 references·16 citing·27 second hopsampled
AK-MSS: An adaptation of the AK-MCS method for small failure probabilities (2020)AK-MSS: An adaptation of the AK-MCS metho…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…Metamodel-based importance sampling for structural reliability analysis (2013)Metamodel-based importance sa…A combined Importance Sampling and Kriging reliability method for small failure probabilities with time-demanding numerical models (2012)A combined Importance Samplin…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…An adaptive algorithm to build up sparse polynomial chaos expansions for stochastic finite element analysis (2009)An adaptive algorithm to buil…Efficient Global Reliability Analysis for Nonlinear Implicit Performance Functions (2008)Efficient Global Reliability …Simulation and the Monte Carlo Method (2007)Simulation and the Monte Carl…A critical appraisal of reliability estimation procedures for high dimensions (2004)A critical appraisal of relia…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…9 Computer experiments (1996)9 Computer experimentsA new look at the response surface approach for reliability analysis (1993)A new look at the response su…A fast and efficient response surface approach for structural reliability problems (1990)A fast and efficient response…The intrinsic random functions and their applications (1973)The intrinsic random function…Quantified active learning Kriging model for structural reliability analysis (2024)Quantified active learning Kr…On active learning for Gaussian process-based global sensitivity analysis (2024)On active learning for Gaussi…RBIK-SS: A parallel adaptive structural reliability analysis method for rare failure events (2023)RBIK-SS: A parallel adaptive …Portfolio allocation strategy for active learning Kriging-based structural reliability analysis (2023)Portfolio allocation strategy…Fast convergence strategy for adaptive structural reliability analysis based on kriging believer criterion and importance sampling (2023)Fast convergence strategy for…CSP-free adaptive Kriging surrogate model method for reliability analysis with small failure probability (2023)CSP-free adaptive Kriging sur…An efficient and versatile Kriging-based active learning method for structural reliability analysis (2023)An efficient and versatile Kr…An adaptive Kriging method based on K-means clustering and sampling in n-ball for structural reliability analysis (2023)An adaptive Kriging method ba…AK-SEUR: An adaptive Kriging-based learning function for structural reliability analysis through sample-based expected uncertainty reduction (2023)AK-SEUR: An adaptive Kriging-…A new active learning method for system reliability analysis with multiple failure modes (2023)A new active learning method …Small failure probability: principles, progress and perspectives (2022)Small failure probability: pr…Reliability estimation of an advanced nuclear fuel using coupled active learning, multifidelity modeling, and subset simulation (2022)Reliability estimation of an …Efficient subset simulation for rare-event integrating point-evolution kernel density and adaptive polynomial chaos kriging (2022)Efficient subset simulation f…Active learning with multifidelity modeling for efficient rare event simulation (2022)Active learning with multifid…A new active learning Kriging metamodel for structural system reliability analysis with multiple failure modes (2022)A new active learning Kriging…Improved active learning probabilistic approach for the computation of failure probability (2020)Improved active learning prob…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)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)Optimization algorithms for structural reliability (1991)MCMC algorithms for Subset Simulation (2015)Stochastic Finite Elements: A Spectral Approach (1991)Structural Reliability Methods (1996)Kriging metamodeling in simulation: A review (2007)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)Global sensitivity analysis using polynomial chaos expansions (2007)Reliability-based design optimization using kriging surrogates and subset simulation (2011)Designs for Computer Experiments (1989)Probability, reliability and statistical methods in engineering design (1999)DAKOTA : a multilevel parallel object-oriented framework for design optimization, parameter estimation, uncertainty quantification, and sensitivity analysis. Version 5.0, user's manual. (2010)On conditional and intrinsic autoregressions (1995)Geostatistical Space–Time Models: A Review (1999)Stochastic Models That Separate Fractal Dimension and the Hurst Effect (2004)Econometric Tools for Analyzing Market Outcomes (2007)Everything you need to know about agent-based modelling and simulation (2016)
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References

  • 2007Simulation and the Monte Carlo Method2,454 cited
  • 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
  • 1973The intrinsic random functions and their applications1,499 cited
  • 1990A fast and efficient response surface approach for structural reliability problems1,198 cited
  • 2008Efficient Global Reliability Analysis for Nonlinear Implicit Performance Functions1,141 cited
  • 2009An adaptive algorithm to build up sparse polynomial chaos expansions for stochastic finite element analysis834 cited
  • 1993A new look at the response surface approach for reliability analysis733 cited
  • 2012A combined Importance Sampling and Kriging reliability method for small failure probabilities with time-demanding numerical models692 cited
  • 1999A new adaptive importance sampling scheme for reliability calculations564 cited
  • 2013Metamodel-based importance sampling for structural reliability analysis535 cited
  • 2004A critical appraisal of reliability estimation procedures for high dimensions476 cited
  • 2016LIF: A new Kriging based learning function and its application to structural reliability analysis444 cited
  • 2011Assessing small failure probabilities by combined subset simulation and Support Vector Machines

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419 cited
  • 2016Assessing small failure probabilities by AK–SS: An active learning method combining Kriging and Subset Simulation412 cited
  • 19969 Computer experiments378 cited
  • Cited by

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    • 2023Fast convergence strategy for adaptive structural reliability analysis based on kriging believer criterion and importance sampling39 cited
    • 2022Active learning with multifidelity modeling for efficient rare event simulation39 cited
    • 2022Efficient subset simulation for rare-event integrating point-evolution kernel density and adaptive polynomial chaos kriging37 cited
    • 2023Portfolio allocation strategy for active learning Kriging-based structural reliability analysis37 cited
    • 2023RBIK-SS: A parallel adaptive structural reliability analysis method for rare failure events35 cited
    • 2023An efficient and versatile Kriging-based active learning method for structural reliability analysis34 cited
    • 2022Reliability estimation of an advanced nuclear fuel using coupled active learning, multifidelity modeling, and subset simulation33 cited
    • 2024On active learning for Gaussian process-based global sensitivity analysis32 cited
    • 2022Small failure probability: principles, progress and perspectives31 cited
    • 2020Improved active learning probabilistic approach for the computation of failure probability29 cited
    • 2023An adaptive Kriging method based on K-means clustering and sampling in n-ball for structural reliability analysis29 cited
    • 2023CSP-free adaptive Kriging surrogate model method for reliability analysis with small failure probability26 cited
    • 2023A new active learning method for system reliability analysis with multiple failure modes25 cited
    • 2024Quantified active learning Kriging model for structural reliability analysis21 cited