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An efficient-robust structural reliability method by adaptive finite-step length based on Armijo line search
16 references·16 citing·36 second hopsampled
An efficient-robust structural reliability method by adaptive finite-step length based on Armijo line search (2017)An efficient-robust structural reliabilit…A new adaptive sequential sampling method to construct surrogate models for efficient reliability analysis (2017)A new adaptive sequential sam…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…Review and application of Artificial Neural Networks models in reliability analysis of steel structures (2014)Review and application of Art…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…Subset simulation for structural reliability sensitivity analysis (2008)Subset simulation for structu…Global sensitivity analysis using polynomial chaos expansions (2007)Global sensitivity analysis u…Efficient Spreadsheet Algorithm for First-Order Reliability Method (2007)Efficient Spreadsheet Algorit…Application of kriging method to structural reliability problems (2004)Application of kriging method…Structural reliability analyis of elastic-plastic structures using neural networks and Monte Carlo simulation (1996)Structural reliability analyi…Optimization algorithms for structural reliability (1991)Optimization algorithms for s…Response‐Surface Approach for Reliability Analysis (1989)Response‐Surface Approach for…Structural reliability under combined random load sequences (1978)Structural reliability under …Exact and Invariant Second-Moment Code Format (1974)Exact and Invariant Second-Mo…An Armijo-based hybrid step length release first order reliability method based on chaos control for structural reliability analysis (2023)An Armijo-based hybrid step l…Adaptive stochastic configuration network ensemble for structural reliability analysis (2023)Adaptive stochastic configura…Efficient decoupling-assisted evolutionary/metaheuristic framework for expensive reliability-based design optimization problems (2022)Efficient decoupling-assisted…A first order reliability method based on hybrid conjugate approach with adaptive Barzilai–Borwein steps (2022)A first order reliability met…Dynamical relaxed directional method for fuzzy reliability analysis (2021)Dynamical relaxed directional…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…An improved first order reliability method based on modified Armijo rule and interpolation-based backtracking scheme (2020)An improved first order relia…An efficient and robust structural reliability analysis method with mixed variables based on hybrid conjugate gradient direction (2020)An efficient and robust struc…Threshold shift method for reliability-based design optimization (2019)Threshold shift method for re…An efficient structural uncertainty propagation method based on evidence domain analysis (2019)An efficient structural uncer…An effective first order reliability method based on Barzilai–Borwein step (2019)An effective first order reli…A Novel Algorithm for Structural Reliability Analysis Based on Finite Step Length and Armijo Line Search (2019)A Novel Algorithm for Structu…RM5Tree: Radial basis M5 model tree for accurate structural reliability analysis (2018)RM5Tree: Radial basis M5 mode…Refined first-order reliability method using cross-entropy optimization method (2018)Refined first-order reliabili…Dynamical accelerated performance measure approach for efficient reliability-based design optimization with highly nonlinear probabilistic constraints (2018)Dynamical accelerated perform…Stochastic Finite Elements: A Spectral Approach (1991)Structural Reliability Methods (1996)Kriging metamodeling in simulation: A review (2007)Metamodel-based importance sampling for structural reliability analysis (2013)Probability Concepts in Engineering Planning and Design (1975)Statistics for Experimenters (1979)Moment methods for structural reliability (2001)The equivalent extreme-value event and evaluation of the structural system reliability (2006)Reliability-based design optimization using kriging surrogates and subset simulation (2011)On the Experimental Attainment of Optimum Conditions (1951)A fast and efficient response surface approach for structural reliability problems (1990)On the Experimental Attainment of Optimum Conditions (1992)Support vector machine in structural reliability analysis: A review (2023)Estimation of small failure probabilities in high dimensions by subset simulation (2001)A new learning function for Kriging and its applications to solve reliability problems in engineering (2015)A Quantitative Model-Independent Method for Global Sensitivity Analysis of Model Output (1999)The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)Adaptive sparse polynomial chaos expansion based on least angle regression (2010)UQLab: A Framework for Uncertainty Quantification in Matlab (2014)Sensitivity analysis of environmental models: A systematic review with practical workflow (2016)Reliability-based optimization in structural engineering (1994)A new adaptive importance sampling scheme for reliability calculations (1999)Hybrid Analysis Method for Reliability-Based Design Optimization (2003)Methods of structural safety (2006)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)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)The intrinsic random functions and their applications (1973)REIF: A novel active-learning function toward adaptive Kriging surrogate models for structural reliability analysis (2019)Narrow Reliability Bounds for Structural Systems (1979)Latin hypercube sampling and the propagation of uncertainty in analyses of complex systems (2003)Sequential Optimization and Reliability Assessment Method for Efficient Probabilistic Design (2004)Efficient Global Reliability Analysis for Nonlinear Implicit Performance Functions (2008)
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References

  • 1974Exact and Invariant Second-Moment Code Format3,138 cited
  • 2007Global sensitivity analysis using polynomial chaos expansions2,547 cited
  • 1978Structural reliability under combined random load sequences2,229 cited
  • 2011AK-MCS: An active learning reliability method combining Kriging and Monte Carlo Simulation2,048 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
  • 1991Optimization algorithms for structural reliability644 cited
  • 1989Response‐Surface Approach for Reliability Analysis626 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
  • 2014Review and application of Artificial Neural Networks models in reliability analysis of steel structures392 cited
  • 2007Efficient Spreadsheet Algorithm for First-Order Reliability Method361 cited
  • 2017A new adaptive sequential sampling method to construct surrogate models for efficient reliability analysis317 cited
  • 2008Subset simulation for structural reliability sensitivity analysis

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284 cited
  • 2014An improved adaptive kriging-based importance technique for sampling multiple failure regions of low probability278 cited
  • 1996Structural reliability analyis of elastic-plastic structures using neural networks and Monte Carlo simulation272 cited
  • Cited by

    • 2018RM5Tree: Radial basis M5 model tree for accurate structural reliability analysis62 cited
    • 2018Dynamical accelerated performance measure approach for efficient reliability-based design optimization with highly nonlinear probabilistic constraints61 cited
    • 2022Efficient decoupling-assisted evolutionary/metaheuristic framework for expensive reliability-based design optimization problems43 cited
    • 2019An effective first order reliability method based on Barzilai–Borwein step40 cited
    • 2022A first order reliability method based on hybrid conjugate approach with adaptive Barzilai–Borwein steps31 cited
    • 2020Fuzzy reliability analysis of nanocomposite ZnO beams using hybrid analytical-intelligent method30 cited
    • 2018Refined first-order reliability method using cross-entropy optimization method27 cited
    • 2023Adaptive stochastic configuration network ensemble for structural reliability analysis26 cited
    • 2019Threshold shift method for reliability-based design optimization25 cited
    • 2019A Novel Algorithm for Structural Reliability Analysis Based on Finite Step Length and Armijo Line Search24 cited
    • 2023An Armijo-based hybrid step length release first order reliability method based on chaos control for structural reliability analysis19 cited
    • 2019An efficient structural uncertainty propagation method based on evidence domain analysis17 cited
    • 2020An efficient and robust structural reliability analysis method with mixed variables based on hybrid conjugate gradient direction17 cited
    • 2020An improved first order reliability method based on modified Armijo rule and interpolation-based backtracking scheme16 cited
    • 2020Hybrid FORM-Sampling simulation method for finding design point and importance vector in structural reliability14 cited
    • 2021Dynamical relaxed directional method for fuzzy reliability analysis13 cited