Journal
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
Volume 417, Issue -, Pages -Publisher
ELSEVIER SCIENCE SA
DOI: 10.1016/j.cma.2023.116357
Keywords
Model updating; Response predictions; Bayesian approach; Prediction error correlation; Gaussian Process models; Kernel covariance functions
Ask authors/readers for more resources
This paper investigates Bayesian model updating based on Gaussian Process models by reformulating the problem and proposing a new kernel function selection method, aiming to balance fitting accuracy, generalizability, and model parsimony. Computational issues are addressed using Laplace approximation and sampling techniques, and numerical and experimental examples are provided to demonstrate the accuracy and robustness of the proposed framework.
Bayesian model updating based on Gaussian Process (GP) models has received attention in recent years, which incorporates kernel-based GPs to provide enhanced fidelity response predictions. Although most kernel functions provide high fitting accuracy in the training data set, their out-of-sample predictions can be highly inaccurate. This paper investigates this problem by reformulating the problem on a consistent probabilistic foundation, reviewing common choices of kernel covariance functions, and proposing a new Bayesian model selection for kernel function selection, aiming to create a balance between fitting accuracy, generalizability, and model parsimony. Computational aspects are addressed via Laplace approximation and sampling techniques, providing detailed algorithms and strategies. Numerical and experimental examples are included to demonstrate the accuracy and robustness of the proposed framework. As a result, an exponential-trigonometric covariance function is characterized and justified based on the Bayesian model selection approach and observations of the sample autocorrelation function of the response discrepancies.(c) 2023 Elsevier B.V. All rights reserved.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available