Bayesian averaging for ground state masses of atomic nuclei in a Machine Learning approach

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...

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Main Authors: Matthew Mumpower, Mengke Li, Trevor M. Sprouse, Bradley S. Meyer, Amy E. Lovell, Arvind T. Mohan
Format: Article
Language:English
Published: Frontiers Media S.A. 2023-07-01
Series:Frontiers in Physics
Subjects:
Online Access:https://www.frontiersin.org/articles/10.3389/fphy.2023.1198572/full
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author Matthew Mumpower
Mengke Li
Mengke Li
Trevor M. Sprouse
Bradley S. Meyer
Amy E. Lovell
Arvind T. Mohan
author_facet Matthew Mumpower
Mengke Li
Mengke Li
Trevor M. Sprouse
Bradley S. Meyer
Amy E. Lovell
Arvind T. Mohan
author_sort Matthew Mumpower
collection DOAJ
description 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.
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spelling doaj.art-fc20d87549574d008a07b0609d00e9e22023-07-19T07:35:34ZengFrontiers Media S.A.Frontiers in Physics2296-424X2023-07-011110.3389/fphy.2023.11985721198572Bayesian averaging for ground state masses of atomic nuclei in a Machine Learning approachMatthew Mumpower0Mengke Li1Mengke Li2Trevor M. Sprouse3Bradley S. Meyer4Amy E. Lovell5Arvind T. Mohan6Theoretical Division, Los Alamos National Laboratory, Los Alamos, NM, United StatesTheoretical Division, Los Alamos National Laboratory, Los Alamos, NM, United StatesDepartment of Physics and Astronomy, Clemson University, Clemson, SC, United StatesTheoretical Division, Los Alamos National Laboratory, Los Alamos, NM, United StatesDepartment of Physics and Astronomy, Clemson University, Clemson, SC, United StatesTheoretical Division, Los Alamos National Laboratory, Los Alamos, NM, United StatesComputational Division, Los Alamos National Laboratory, Los Alamos, NM, United StatesWe 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.https://www.frontiersin.org/articles/10.3389/fphy.2023.1198572/fullatomic nucleiBayesian averagingbinding energies and massesMachine Learning-MLnuclear physicscomputational physics
spellingShingle Matthew Mumpower
Mengke Li
Mengke Li
Trevor M. Sprouse
Bradley S. Meyer
Amy E. Lovell
Arvind T. Mohan
Bayesian averaging for ground state masses of atomic nuclei in a Machine Learning approach
Frontiers in Physics
atomic nuclei
Bayesian averaging
binding energies and masses
Machine Learning-ML
nuclear physics
computational physics
title Bayesian averaging for ground state masses of atomic nuclei in a Machine Learning approach
title_full Bayesian averaging for ground state masses of atomic nuclei in a Machine Learning approach
title_fullStr Bayesian averaging for ground state masses of atomic nuclei in a Machine Learning approach
title_full_unstemmed Bayesian averaging for ground state masses of atomic nuclei in a Machine Learning approach
title_short Bayesian averaging for ground state masses of atomic nuclei in a Machine Learning approach
title_sort bayesian averaging for ground state masses of atomic nuclei in a machine learning approach
topic atomic nuclei
Bayesian averaging
binding energies and masses
Machine Learning-ML
nuclear physics
computational physics
url https://www.frontiersin.org/articles/10.3389/fphy.2023.1198572/full
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