  The ability to replicate predictions by machine learning (ML) or artificial
intelligence (AI) models and results in scientific workflows that incorporate
such ML/AI predictions is driven by numerous factors. An uncertainty-aware
metric that can quantitatively assess the reproducibility of quantities of
interest (QoI) would contribute to the trustworthiness of results obtained from
scientific workflows involving ML/AI models. In this article, we discuss how
uncertainty quantification (UQ) in a Bayesian paradigm can provide a general
and rigorous framework for quantifying reproducibility for complex scientific
workflows. Such as framework has the potential to fill a critical gap that
currently exists in ML/AI for scientific workflows, as it will enable
researchers to determine the impact of ML/AI model prediction variability on
the predictive outcomes of ML/AI-powered workflows. We expect that the
envisioned framework will contribute to the design of more reproducible and
trustworthy workflows for diverse scientific applications, and ultimately,
accelerate scientific discoveries.
