Representing Model Discrepancy in Bound-to-Bound Data Collaboration

摘要

We extend the existing methodology in bound-to-bound data collaboration (B2BDC), an optimizationbased deterministic uncertainty quantification (UQ) framework, to explicitly take into account model discrepancy. The discrepancy is represented as a linear combination of finite basis functions, and the feasible set is constructed according to a collection of modified model-data constraints. Formulas for making predictions are also modified to include the model discrepancy function. Prior information about the model discrepancy can be added to the framework as additional constraints. Dataset consistency, a central feature of B2BDC, is generalized based on the extended framework.