AUTHOR=Mumpower Matthew , Li Mengke , Sprouse Trevor M. , Meyer Bradley S. , Lovell Amy E. , Mohan Arvind T. TITLE=Bayesian averaging for ground state masses of atomic nuclei in a Machine Learning approach JOURNAL=Frontiers in Physics VOLUME=11 YEAR=2023 URL=https://www.frontiersin.org/journals/physics/articles/10.3389/fphy.2023.1198572 DOI=10.3389/fphy.2023.1198572 ISSN=2296-424X ABSTRACT=

We present global predictions of the ground state mass of atomic nuclei based on a novel Machine Learning algorithm. We combine precision nuclear experimental measurements together with theoretical predictions of unmeasured nuclei. This hybrid data set is used to train a probabilistic neural network. In addition to training on this data, a physics-based loss function is employed to help refine the solutions. The resultant Bayesian averaged predictions have excellent performance compared to the testing set and come with well-quantified uncertainties which are critical for contemporary scientific applications. We assess extrapolations of the model’s predictions and estimate the growth of uncertainties in the region far from measurements.