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Structural reliability analysis using gradient-enhanced physics-informed neural network and probability density evolution method
16 references·0 citing·35 second hop
Structural reliability analysis using gradient-enhanced physics-informed neural network and probability density evolution method (2025)Structural reliability analysis using gra…A new adaptive sequential sampling method to construct surrogate models for efficient reliability analysis (2017)A new adaptive sequential sam…A Gaussian process-based dynamic surrogate model for complex engineering structural reliability analysis (2017)A Gaussian process-based dyna…Rare Event Estimation Using Polynomial-Chaos Kriging (2016)Rare Event Estimation Using P…POLYNOMIAL-CHAOS-BASED KRIGING (2015)POLYNOMIAL-CHAOS-BASED KRIGINGA new surrogate modeling technique combining Kriging and polynomial chaos expansions – Application to uncertainty analysis in computational dosimetry (2015)A new surrogate modeling tech…UQLab: A Framework for Uncertainty Quantification in Matlab (2014)UQLab: A Framework for Uncert…AK-MCS: An active learning reliability method combining Kriging and Monte Carlo Simulation (2011)AK-MCS: An active learning re…Stochastic Dynamics of Structures (2009)Stochastic Dynamics of Struct…The principle of preservation of probability and the generalized density evolution equation (2006)The principle of preservation…The equivalent extreme-value event and evaluation of the structural system reliability (2006)The equivalent extreme-value …Structural reliability analysis for implicit performance functions using artificial neural network (2004)Structural reliability analys…Structural reliability under combined random load sequences (1978)Structural reliability under …Probability Concepts in Engineering Planning and Design (1975)Probability Concepts in Engin…Monte Carlo solution of structural dynamics (1972)Monte Carlo solution of struc…The Analysis of Structural Safety (1966)The Analysis of Structural Sa…The Safety of Structures (1947)The Safety of StructuresStochastic Finite Elements: A Spectral Approach (1991)Structural Reliability Methods (1996)Kriging metamodeling in simulation: A review (2007)A combined Importance Sampling and Kriging reliability method for small failure probabilities with time-demanding numerical models (2012)Metamodel-based importance sampling for structural reliability analysis (2013)LIF: A new Kriging based learning function and its application to structural reliability analysis (2016)Simulation of Multivariate and Multidimensional Random Processes (1971)Neumann Expansion for Stochastic Finite Element Analysis (1988)Simulation of Ergodic Multivariate Stochastic Processes (1996)A GF-discrepancy for point selection in stochastic seismic response analysis of structures with uncertain parameters (2015)Exact and Invariant Second-Moment Code Format (1974)Method for Random Vibration of Hysteretic Systems (1976)Advances of the probability density evolution method for nonlinear stochastic systems (2011)A Nested Extreme Response Surface Approach for Time-Dependent Reliability-Based Design Optimization (2012)Random function based spectral representation of stationary and non-stationary stochastic processes (2016)Probabilistic Structural Dynamics: Advanced Theory and Applications (1967)The stochastic finite-element method (1980)Probability density evolution method: Background, significance and recent developments (2015)Direct probability integral method for stochastic response analysis of static and dynamic structural systems (2019)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)Efficient Global Reliability Analysis for Nonlinear Implicit Performance Functions (2008)Structural Reliability Analysis and Prediction (2017)REIF: A novel active-learning function toward adaptive Kriging surrogate models for structural reliability analysis (2019)Adaptive approaches in metamodel-based reliability analysis: A review (2020)A review and assessment of importance sampling methods for reliability analysis (2022)Design and Analysis of Computer Experiments (1989)A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (2000)Sparse Polynomial Chaos Expansions: Literature Survey and Benchmark (2021)Error and uncertainty in modeling and simulation (2002)Measuring vulnerability to natural hazards: towards disaster resilient societies (2007)Latin hypercube sampling and the propagation of uncertainty in analyses of complex systems (2003)
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References

  • 1975Probability Concepts in Engineering Planning and Design2,575 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
  • 2014UQLab: A Framework for Uncertainty Quantification in Matlab1,018 cited
  • 2009Stochastic Dynamics of Structures923 cited
  • 1972Monte Carlo solution of structural dynamics629 cited
  • 2006The principle of preservation of probability and the generalized density evolution equation517 cited
  • 2006The equivalent extreme-value event and evaluation of the structural system reliability447 cited
  • 2015POLYNOMIAL-CHAOS-BASED KRIGING398 cited
  • 2017A new adaptive sequential sampling method to construct surrogate models for efficient reliability analysis317 cited
  • 2004Structural reliability analysis for implicit performance functions using artificial neural network279 cited
  • 2016Rare Event Estimation Using Polynomial-Chaos Kriging279 cited
  • 1966The Analysis of Structural Safety279 cited
  • 1947The Safety of Structures278 cited
  • 2015A new surrogate modeling technique combining Kriging and polynomial chaos expansions – Application to uncertainty analysis in computational dosimetry

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248 cited
  • 2017A Gaussian process-based dynamic surrogate model for complex engineering structural reliability analysis169 cited
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