Consistency Analysis for Massively Inconsistent Datasets in Bound-to-Bound Data Collaboration

摘要

Bound-to-bound data collaboration provides a natural framework for addressing both forward and inverse uncertainty quantification problems. In this approach, quantity of interest models are constrained by related experimental observations with interval uncertainty. A collection of such models and observations is termed a dataset and carves out a feasible region in the parameter space. If a dataset has a nonempty feasible set, it is said to be consistent. In real-world applications, it is often the case that collections of models and observations are inconsistent. Revealing the source of this inconsistency, i.e., identifying which models and/or observations are problematic, is essential before a dataset can be used for prediction. To address this issue, we introduce a constraint relaxation{ based approach, termed the vector consistency measure, for investigating datasets with numerous sources of inconsistency. The benefits of this vector consistency measure over a previous method of consistency analysis are demonstrated in two realistic gas combustion examples.