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A sequential sampling-based Bayesian numerical method for reliability-based design optimization
16 references·7 citing·46 second hop
A sequential sampling-based Bayesian numerical method for reliability-based design optimization (2024)A sequential sampling-based Bayesian nume…A Tutorial on Bayesian Optimization (2018)A Tutorial on Bayesian Optimi…A Critical Review of Surrogate Assisted Robust Design Optimization (2017)A Critical Review of Surrogat…Sequential importance sampling for structural reliability analysis (2016)Sequential importance samplin…Quantile-based optimization under uncertainties using adaptive Kriging surrogate models (2016)Quantile-based optimization u…UQLab: A Framework for Uncertainty Quantification in Matlab (2014)UQLab: A Framework for Uncert…Predictive Entropy Search for Efficient Global Optimization of Black-box Functions (2014)Predictive Entropy Search for…Predictive Entropy Search for Efficient Global Optimization of Black-box Functions (2014)Predictive Entropy Search for…Review of uncertainty-based multidisciplinary design optimization methods for aerospace vehicles (2011)Review of uncertainty-based m…AK-MCS: An active learning reliability method combining Kriging and Monte Carlo Simulation (2011)AK-MCS: An active learning re…Convergence properties of the expected improvement algorithm with fixed mean and covariance functions (2010)Convergence properties of the…A survey on approaches for reliability-based optimization (2010)A survey on approaches for re…Inverse analysis method using MPP-based dimension reduction for reliability-based design optimization of nonlinear and multi-dimensional systems (2008)Inverse analysis method using…Reliability-based design sensitivity by efficient simulation (2005)Reliability-based design sens…Sequential Optimization and Reliability Assessment Method for Efficient Probabilistic Design (2004)Sequential Optimization and R…An Investigation of Nonlinearity of Reliability-Based Design Optimization Approaches (2003)An Investigation of Nonlinear…Estimation of small failure probabilities in high dimensions by subset simulation (2001)Estimation of small failure p…Structural design optimization under stochastic excitations considering first-passage probability constraint based on dimension-reduced probability density evolution equation (2025)Structural design optimizatio…Reliability-based design optimization method with correlated variables using adaptive conjugate gradient analysis and Copula (2025)Reliability-based design opti…A hybrid single-loop approach combining the target beta-hypersphere sampling and active learning Kriging for reliability-based design optimization (2025)A hybrid single-loop approach…Reliability-based design optimization of fluid-conveying pipeline structure subjected to in-service loadings (2024)Reliability-based design opti…Reliability and sustainability integrated design optimization for engineering structures with active machine learning technique (2024)Reliability and sustainabilit…Large-scale sandwich structures optimization using Bayesian method (2024)Large-scale sandwich structur…High-efficient non-iterative reliability-based design optimization based on the design space virtually conditionalized reliability evaluation method (2024)High-efficient non-iterative …Simulation and the Monte Carlo Method (1981)The stochastic finite element method: Past, present and future (2008)A combined Importance Sampling and Kriging reliability method for small failure probabilities with time-demanding numerical models (2012)The generalization of Latin hypercube sampling (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)Metamodel-based importance sampling for structural reliability analysis (2013)LIF: A new Kriging based learning function and its application to structural reliability analysis (2016)Chance-Constrained Programming (1959)A Chebyshev interval method for nonlinear dynamic systems under uncertainty (2012)Surrogate-assisted reliability-based design optimization: a survey and a unified modular framework (2019)A Comparative Study of Metaheuristic Algorithms for Reliability-Based Design Optimization Problems (2020)Fuzzy sets (1965)Fuzzy sets (1996)Global Sensitivity Analysis. The Primer (2007)Engineering Design with Digital Thread (2018)A novel Kriging-model-assisted reliability-based multidisciplinary design optimization strategy and its application in the offshore wind turbine tower (2022)Subset simulation for structural reliability sensitivity analysis (2008)Reliability engineering (2011)Structural Reliability Analysis and Prediction (2017)Monte Carlo and variance reduction methods for structural reliability analysis: A comprehensive review (2023)Global sensitivity analysis using polynomial chaos expansions (2007)Adaptive sparse polynomial chaos expansion based on least angle regression (2010)An active-learning algorithm that combines sparse polynomial chaos expansions and bootstrap for structural reliability analysis (2018)The Future of Sensitivity Analysis: An essential discipline for systems modeling and policy support (2020)Toward SALib 2.0: Advancing the accessibility and interpretability of global sensitivity analyses (2022)A Tutorial on Bayesian Optimization of Expensive Cost Functions, with Application to Active User Modeling and Hierarchical Reinforcement Learning (2010)Information-Theoretic Regret Bounds for Gaussian Process Optimization in the Bandit Setting (2012)Practical Bayesian Optimization of Machine Learning Algorithms (2012)A General Framework for Constrained Bayesian Optimization using Information-based Search (2015)Constrained Bayesian Optimization with Noisy Experiments (2018)Dealing with categorical and integer-valued variables in Bayesian Optimization with Gaussian processes (2019)Exact and Invariant Second-Moment Code Format (1974)Quality Engineering Using Robust Design (1991)Computational methods in optimization considering uncertainties – An overview (2008)DAKOTA : a multilevel parallel object-oriented framework for design optimization, parameter estimation, uncertainty quantification, and sensitivity analysis. Version 5.0, user's manual. (2010)Structural Reliability under Incomplete Probability Information (1986)Cross entropy-based importance sampling using Gaussian densities revisited (2018)RBF-GA: An adaptive radial basis function metamodeling with genetic algorithm for structural reliability analysis (2019)A Stochastic Approximation Method (1951)Taking the Human Out of the Loop: A Review of Bayesian Optimization (2015)Bayesian Optimization for Adaptive Experimental Design: A Review (2020)High-dimensional Bayesian optimization using low-dimensional feature spaces (2020)Bayesian Optimization is Superior to Random Search for Machine Learning Hyperparameter Tuning: Analysis of the Black-Box Optimization Challenge 2020 (2021)
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References

  • 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
  • 2018A Tutorial on Bayesian Optimization1,422 cited
  • 2004Sequential Optimization and Reliability Assessment Method for Efficient Probabilistic Design1,106 cited
  • 2014UQLab: A Framework for Uncertainty Quantification in Matlab1,018 cited
  • 2011Review of uncertainty-based multidisciplinary design optimization methods for aerospace vehicles516 cited
  • 2010A survey on approaches for reliability-based optimization401 cited
  • 2014Predictive Entropy Search for Efficient Global Optimization of Black-box Functions369 cited
  • 2005Reliability-based design sensitivity by efficient simulation330 cited
  • 2016Sequential importance sampling for structural reliability analysis267 cited
  • 2003An Investigation of Nonlinearity of Reliability-Based Design Optimization Approaches216 cited
  • 2008Inverse analysis method using MPP-based dimension reduction for reliability-based design optimization of nonlinear and multi-dimensional systems186 cited
  • 2010Convergence properties of the expected improvement algorithm with fixed mean and covariance functions183 cited
  • 2017A Critical Review of Surrogate Assisted Robust Design Optimization

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177 cited
  • 2014Predictive Entropy Search for Efficient Global Optimization of Black-box Functions162 cited
  • 2016Quantile-based optimization under uncertainties using adaptive Kriging surrogate models139 cited
  • Cited by

    • 2024High-efficient non-iterative reliability-based design optimization based on the design space virtually conditionalized reliability evaluation method27 cited
    • 2025A hybrid single-loop approach combining the target beta-hypersphere sampling and active learning Kriging for reliability-based design optimization22 cited
    • 2025Structural design optimization under stochastic excitations considering first-passage probability constraint based on dimension-reduced probability density evolution equation20 cited
    • 2024Reliability-based design optimization of fluid-conveying pipeline structure subjected to in-service loadings15 cited
    • 2024Large-scale sandwich structures optimization using Bayesian method11 cited
    • 2024Reliability and sustainability integrated design optimization for engineering structures with active machine learning technique8 cited
    • 2025Reliability-based design optimization method with correlated variables using adaptive conjugate gradient analysis and Copula8 cited