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Title: Embedded Model Error Representation for Bayesian Model Calibration

Journal Article · · arXiv.org Repository
OSTI ID:1529284
 [1];  [1];  [1]
  1. Sandia National Lab. (SNL-CA), Livermore, CA (United States)

Model error estimation remains one of the key challenges in uncertainty quantification and predictive science. For computational models of complex physical systems, model error, also known as structural error or model inadequacy, is often the largest contributor to the overall predictive uncertainty. This work builds on a recently developed framework of embedded, internal model correction, in order to represent and quantify structural errors, together with model parameters,within a Bayesian inference context. We focus specifically on a Polynomial Chaos representation with additive modification of existing model parameters, enabling a non-intrusive procedure for efficient approximate likelihood construction, model error estimation, and disambiguation of model and data errors’ contributions to predictive uncertainty. The framework is demonstrated on several synthetic examples, as well as on a chemical ignition problem.

Research Organization:
Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Sponsoring Organization:
Defense Advanced Research Projects Agency (DARPA); USDOE
DOE Contract Number:
AC04-94AL85000
OSTI ID:
1529284
Report Number(s):
SAND-2018-0669J; 660113
Journal Information:
arXiv.org Repository, Vol. 2019; Related Information: https://arxiv.org/abs/1801.06768; ISSN 9999-0017
Publisher:
Cornell University
Country of Publication:
United States
Language:
English