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Time-dependent reliability analysis by a single-loop Bayesian active learning method using Gaussian process regression
16 references·0 citing·35 second hop
Time-dependent reliability analysis by a single-loop Bayesian active learning method using Gaussian process regression (2025)Time-dependent reliability analysis by a …Parallel adaptive Bayesian quadrature for rare event estimation (2022)Parallel adaptive Bayesian qu…Real-time estimation error-guided active learning Kriging method for time-dependent reliability analysis (2019)Real-time estimation error-gu…An efficient time-dependent reliability method (2019)An efficient time-dependent r…An active failure-pursuing Kriging modeling method for time-dependent reliability analysis (2019)An active failure-pursuing Kr…A sampling-based method for high-dimensional time-variant reliability analysis (2019)A sampling-based method for h…Time-variant reliability assessment through equivalent stochastic process transformation (2016)Time-variant reliability asse…A Single-Loop Kriging Surrogate Modeling for Time-Dependent Reliability Analysis (2016)A Single-Loop Kriging Surroga…Mixed Efficient Global Optimization for Time-Dependent Reliability Analysis (2015)Mixed Efficient Global Optimi…A Time-Variant Reliability Analysis Method Based on Stochastic Process Discretization (2014)A Time-Variant Reliability An…A new approach for reliability analysis with time-variant performance characteristics (2013)A new approach for reliabilit…Analytical derivation of the outcrossing rate in time-variant reliability problems (2008)Analytical derivation of the …The PHI2 method: a way to compute time-variant reliability (2003)The PHI2 method: a way to com…Simulation of second-order processes using Karhunen–Loeve expansion (2002)Simulation of second-order pr…Orthogonal Series Expansions of Random Fields in Reliability Analysis (1994)Orthogonal Series Expansions …Optimal Discretization of Random Fields (1993)Optimal Discretization of Ran…Simulation of Stochastic Processes by Spectral Representation (1991)Simulation of Stochastic Proc…Structural Reliability Methods (1996)Reliability analysis—a review and some perspectives (2001)A Nested Extreme Response Surface Approach for Time-Dependent Reliability-Based Design Optimization (2012)Time-dependent reliability analysis with joint upcrossing rates (2013)Time-Dependent Reliability Analysis Through Response Surface Method (2017)Efficient Global Reliability Analysis for Nonlinear Implicit Performance Functions (2008)AK-MCS: An active learning reliability method combining Kriging and Monte Carlo Simulation (2011)AK-MCSi: A Kriging-based method to deal with small failure probabilities and time-consuming models (2018)AK-SYSi: an improved adaptive Kriging model for system reliability analysis with multiple failure modes by a refined U learning function (2018)ESC: an efficient error-based stopping criterion for kriging-based reliability analysis methods (2018)Structural Reliability under Incomplete Probability Information (1986)Uncertainties in probabilistic numerical analysis of structures and solids-Stochastic finite elements (1997)Digital Generation of Non‐Gaussian Stochastic Fields (1988)Simulation of Stationary Non-Gaussian Translation Processes (1998)Convergence study of the truncated Karhunen–Loeve expansion for simulation of stochastic processes (2001)Implementation of Karhunen–Loeve expansion for simulation using a wavelet-Galerkin scheme (2002)Life-cycle reliability-based optimization of civil and aerospace structures (2003)Simulation of strongly non-Gaussian processes using Karhunen–Loeve expansion (2005)Stochastic Finite Elements: A Spectral Approach (1991)The geometry of random vibrations and solutions by FORM and SORM (2000)Comparison of finite element reliability methods (2002)Application of kriging method to structural reliability problems (2004)Global sensitivity analysis using polynomial chaos expansions (2007)Polynomial chaos expansion for sensitivity analysis (2008)AK-ARBIS: An improved AK-MCS based on the adaptive radial-based importance sampling for small failure probability (2019)A stochastic process discretization method combing active learning Kriging model for efficient time-variant reliability analysis (2021)A unified analysis framework of static and dynamic structural reliabilities based on direct probability integral method (2021)Large Sample Properties of Simulations Using Latin Hypercube Sampling (1987)Monte Carlo and variance reduction methods for structural reliability analysis: A comprehensive review (2023)Design and Analysis of Computer Experiments (1989)An active learning method combining Kriging and accelerated chaotic single loop approach (AK-ACSLA) for reliability-based design optimization (2019)New efficient and robust method for structural reliability analysis and its application in reliability-based design optimization (2020)Simulation of Ergodic Multivariate Stochastic Processes (1996)The stochastic finite element method: Past, present and future (2008)Fast Numerical Methods for Stochastic Computations: A Review (2009)
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References

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  • 2003The PHI2 method: a way to compute time-variant reliability460 cited
  • 2008Analytical derivation of the outcrossing rate in time-variant reliability problems326 cited
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  • 2019A sampling-based method for high-dimensional time-variant reliability analysis87 cited

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2019
An active failure-pursuing Kriging modeling method for time-dependent reliability analysis
87 cited
  • 2022Parallel adaptive Bayesian quadrature for rare event estimation83 cited
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