Back to Search Start Over

Model Validation of a Single Degree-of-Freedom Oscillator: A Case Study

Authors :
Edward Boone
Jan Hannig
Ryad Ghanam
Sujit Ghosh
Fabrizio Ruggeri
Serge Prudhomme
Source :
Stats, Vol 5, Iss 4, Pp 1195-1211 (2022)
Publication Year :
2022
Publisher :
MDPI AG, 2022.

Abstract

In this paper, we investigate a validation process in order to assess the predictive capabilities of a single degree-of-freedom oscillator. Model validation is understood here as the process of determining the accuracy with which a model can predict observed physical events or important features of the physical system. Therefore, assessment of the model needs to be performed with respect to the conditions under which the model is used in actual simulations of the system and to specific quantities of interest used for decision-making. Model validation also supposes that the model be trained and tested against experimental data. In this work, virtual data are produced from a non-linear single degree-of-freedom oscillator, the so-called oracle model, which is supposed to provide an accurate representation of reality. The mathematical model to be validated is derived from the oracle model by simply neglecting the non-linear term. The model parameters are identified via Bayesian updating. This calibration process also includes a modeling error due to model misspecification and modeled as a normal probability density function with zero mean and standard deviation to be calibrated.

Details

Language :
English
ISSN :
2571905X
Volume :
5
Issue :
4
Database :
Directory of Open Access Journals
Journal :
Stats
Publication Type :
Academic Journal
Accession number :
edsdoj.52bc7b11065c4525918f64309ef3c7a9
Document Type :
article
Full Text :
https://doi.org/10.3390/stats5040071