A generalized Bayesian approach to model calibration
Name
1911.11715.pdf
Description
Accepted version
Size
7.92 MB
Format
Adobe PDF
Checksum (MD5)
96e71bf951d40565414fed91a6af0b9d
Author(s)
Tohme, Tony.
Vanslette, Kevin
Youcef-Toumi, Kamal
Date Issued
July 2020
Journal
Reliability Engineering and System Safety
Publisher
Elsevier BV
Citation
Tohme, Tony et al., "A generalized Bayesian approach to model calibration." Reliability Engineering & System Safety 204 (December 2020): 107141 doi. 10.1016/j.ress.2020.107141 ©2020 Authors
Version
Author's final manuscript
Abstract
In model development, model calibration and validation play complementary roles toward learning reliable models. In this article, we expand the Bayesian Validation Metric framework to a general calibration and validation framework by inverting the validation mathematics into a generalized Bayesian method for model calibration and regression. We perform Bayesian regression based on a user's definition of model-data agreement. This allows for model selection on any type of data distribution, unlike Bayesian and standard regression techniques, that “fail” in some cases. We show that our tool is capable of representing and combining least squares, likelihood-based, and Bayesian calibration techniques in a single framework while being able to generalize aspects of these methods. This tool also offers new insights into the interpretation of the predictive envelopes (also known as confidence bands) while giving the analyst more control over these envelopes. We demonstrate the validity of our method by providing three numerical examples to calibrate different models, including a model for energy dissipation in lap joints under impact loading. By calibrating models with respect to the validation metrics one desires a model to ultimately pass, reliability and safety metrics may be integrated into and automatically adopted by the model in the calibration phase. ©2020 Elsevier Ltd
MIT Department
Massachusetts Institute of Technology. Department of Mechanical Engineering
Terms of Use
Creative Commons Attribution-NonCommercial-NoDerivs License
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1016/j.ress.2020.107141
