Multielement polynomial chaos kriging-based metamodelling for Bayesian inference of non-smooth systems
DOI10.1016/j.apm.2022.11.039zbMath1515.62044arXiv2212.02250OpenAlexW4310673922MaRDI QIDQ6100033
Carmen Calvo-Jurado, José Carlos García-Merino, Enrique García-Macías, Emilio Martínez-Pañeda
Publication date: 21 June 2023
Published in: Applied Mathematical Modelling (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2212.02250
model calibrationBayesian inferencesurrogate modellinghydrogen embrittlementpolynomial chaos expansion krigingthermal desorption spectroscopy
Bayesian inference (62F15) Numerical analysis or methods applied to Markov chains (65C40) Numerical solutions to stochastic differential and integral equations (65C30)
Cites Work
- Unnamed Item
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- Multi-resolution analysis of Wiener-type uncertainty propagation schemes
- Adaptive sparse polynomial chaos expansion based on least angle regression
- The multi-element probabilistic collocation method (ME-PCM): Error analysis and applications
- Kriging metamodeling in simulation: a review
- Estimation of mean square error of empirical best linear unbiased predictors under a random error variance linear model
- Average-case analysis of numerical problems
- Design and analysis of computer experiments. With comments and a rejoinder by the authors
- On Metropolis-Hastings algorithms with delayed rejection
- A tutorial on Gaussian process regression: modelling, exploring, and exploiting functions
- Least angle regression. (With discussion)
- Bayesian model inversion using stochastic spectral embedding
- Global sensitivity analysis for multivariate outputs using polynomial chaos-based surrogate models
- A combined radial basis function and adaptive sequential sampling method for structural reliability analysis
- The role of surrogate models in the development of digital twins of dynamic systems
- Residual Gaussian process: a tractable nonparametric Bayesian emulator for multi-fidelity simulations
- Hybrid algorithm for multi-objective optimization design of parallel manipulators
- Bayesian methods for characterizing unknown parameters of material models
- Quantifying the uncertainty in a hyperelastic soft tissue model with stochastic parameters
- An adaptive multiple-kriging-surrogate method for time-dependent reliability analysis
- Sparse grids-based stochastic approximations with applications to aerodynamics sensitivity analysis
- Sequential Monte Carlo Samplers
- Multi-Element Generalized Polynomial Chaos for Arbitrary Probability Measures
- POLYNOMIAL-CHAOS-BASED KRIGING
- STOCHASTIC SPECTRAL EMBEDDING
- On Prediction Properties of Kriging: Uniform Error Bounds and Robustness
- An adaptive Metropolis algorithm
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