Building surrogate models of nuclear density functional theory with Gaussian processes and autoencoders

From the lightest Hydrogen isotopes up to the recently synthesized Oganesson (Z = 118), it is estimated that as many as about 8,000 atomic nuclei could exist in nature. Most of these nuclei are too short-lived to be occurring on Earth, but they play an essential role in astrophysical events such as...

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Main Authors: Marc Verriere, Nicolas Schunck, Irene Kim, Petar Marević, Kevin Quinlan, Michelle N. Ngo, David Regnier, Raphael David Lasseri
Format: Article
Language:English
Published: Frontiers Media S.A. 2022-11-01
Series:Frontiers in Physics
Subjects:
Online Access:https://www.frontiersin.org/articles/10.3389/fphy.2022.1028370/full
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author Marc Verriere
Nicolas Schunck
Irene Kim
Irene Kim
Petar Marević
Petar Marević
Petar Marević
Kevin Quinlan
Michelle N. Ngo
Michelle N. Ngo
David Regnier
David Regnier
Raphael David Lasseri
author_facet Marc Verriere
Nicolas Schunck
Irene Kim
Irene Kim
Petar Marević
Petar Marević
Petar Marević
Kevin Quinlan
Michelle N. Ngo
Michelle N. Ngo
David Regnier
David Regnier
Raphael David Lasseri
author_sort Marc Verriere
collection DOAJ
description From the lightest Hydrogen isotopes up to the recently synthesized Oganesson (Z = 118), it is estimated that as many as about 8,000 atomic nuclei could exist in nature. Most of these nuclei are too short-lived to be occurring on Earth, but they play an essential role in astrophysical events such as supernova explosions or neutron star mergers that are presumed to be at the origin of most heavy elements in the Universe. Understanding the structure, reactions, and decays of nuclei across the entire chart of nuclides is an enormous challenge because of the experimental difficulties in measuring properties of interest in such fleeting objects and the theoretical and computational issues of simulating strongly-interacting quantum many-body systems. Nuclear density functional theory (DFT) is a fully microscopic theoretical framework which has the potential of providing such a quantitatively accurate description of nuclear properties for every nucleus in the chart of nuclides. Thanks to high-performance computing facilities, it has already been successfully applied to predict nuclear masses, global patterns of radioactive decay like β or γ decay, and several aspects of the nuclear fission process such as, e.g., spontaneous fission half-lives. Yet, predictive simulations of nuclear spectroscopy—the low-lying excited states and transitions between them—or of nuclear fission, or the quantification of theoretical uncertainties and their propagation to basic or applied nuclear science applications, would require several orders of magnitude more calculations than currently possible. However, most of this computational effort would be spent into generating a suitable basis of DFT wavefunctions. Such a task could potentially be considerably accelerated by borrowing tools from the field of machine learning and artificial intelligence. In this paper, we review different approaches to applying supervised and unsupervised learning techniques to nuclear DFT.
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spelling doaj.art-985f448c06ac48fbb97b6034b5c48bbe2022-12-22T03:41:20ZengFrontiers Media S.A.Frontiers in Physics2296-424X2022-11-011010.3389/fphy.2022.10283701028370Building surrogate models of nuclear density functional theory with Gaussian processes and autoencodersMarc Verriere0Nicolas Schunck1Irene Kim2Irene Kim3Petar Marević4Petar Marević5Petar Marević6Kevin Quinlan7Michelle N. Ngo8Michelle N. Ngo9David Regnier10David Regnier11Raphael David Lasseri12Nuclear and Data Theory Group, Nuclear and Chemical Science Division, Lawrence Livermore National Laboratory, Livermore, CA, United StatesNuclear and Data Theory Group, Nuclear and Chemical Science Division, Lawrence Livermore National Laboratory, Livermore, CA, United StatesMachine Intelligence Group, Center for Applied Scientific Computing, Lawrence Livermore National Laboratory, Livermore, CA, United StatesSensing and Intelligent Systems Group, Global Security Computing Applications Division, Lawrence Livermore National Laboratory, Livermore, CA, United StatesNuclear and Data Theory Group, Nuclear and Chemical Science Division, Lawrence Livermore National Laboratory, Livermore, CA, United StatesCentre Borelli, ENS Paris-Saclay, Université Paris-Saclay, Cachan, FrancePhysics Department, Faculty of Science, University of Zagreb, Zagreb, CroatiaApplied Statistics Group, Lawrence Livermore National Laboratory, Livermore, CA, United StatesApplied Statistics Group, Lawrence Livermore National Laboratory, Livermore, CA, United StatesCenter for Complex Biological Systems, University of California Irvine, Irvine, CA, United StatesUniversité Paris-Saclay, CEA, Laboratoire Matière en Conditions Extrêmes, Bruyères-le-Châtel, FranceCEA, DAM, DIF, Bruyères-le-Châtel, FranceCentre Borelli, ENS Paris-Saclay, Université Paris-Saclay, Cachan, FranceFrom the lightest Hydrogen isotopes up to the recently synthesized Oganesson (Z = 118), it is estimated that as many as about 8,000 atomic nuclei could exist in nature. Most of these nuclei are too short-lived to be occurring on Earth, but they play an essential role in astrophysical events such as supernova explosions or neutron star mergers that are presumed to be at the origin of most heavy elements in the Universe. Understanding the structure, reactions, and decays of nuclei across the entire chart of nuclides is an enormous challenge because of the experimental difficulties in measuring properties of interest in such fleeting objects and the theoretical and computational issues of simulating strongly-interacting quantum many-body systems. Nuclear density functional theory (DFT) is a fully microscopic theoretical framework which has the potential of providing such a quantitatively accurate description of nuclear properties for every nucleus in the chart of nuclides. Thanks to high-performance computing facilities, it has already been successfully applied to predict nuclear masses, global patterns of radioactive decay like β or γ decay, and several aspects of the nuclear fission process such as, e.g., spontaneous fission half-lives. Yet, predictive simulations of nuclear spectroscopy—the low-lying excited states and transitions between them—or of nuclear fission, or the quantification of theoretical uncertainties and their propagation to basic or applied nuclear science applications, would require several orders of magnitude more calculations than currently possible. However, most of this computational effort would be spent into generating a suitable basis of DFT wavefunctions. Such a task could potentially be considerably accelerated by borrowing tools from the field of machine learning and artificial intelligence. In this paper, we review different approaches to applying supervised and unsupervised learning techniques to nuclear DFT.https://www.frontiersin.org/articles/10.3389/fphy.2022.1028370/fullnuclear density functional theoryGaussian processdeep learningautoencodersresnet
spellingShingle Marc Verriere
Nicolas Schunck
Irene Kim
Irene Kim
Petar Marević
Petar Marević
Petar Marević
Kevin Quinlan
Michelle N. Ngo
Michelle N. Ngo
David Regnier
David Regnier
Raphael David Lasseri
Building surrogate models of nuclear density functional theory with Gaussian processes and autoencoders
Frontiers in Physics
nuclear density functional theory
Gaussian process
deep learning
autoencoders
resnet
title Building surrogate models of nuclear density functional theory with Gaussian processes and autoencoders
title_full Building surrogate models of nuclear density functional theory with Gaussian processes and autoencoders
title_fullStr Building surrogate models of nuclear density functional theory with Gaussian processes and autoencoders
title_full_unstemmed Building surrogate models of nuclear density functional theory with Gaussian processes and autoencoders
title_short Building surrogate models of nuclear density functional theory with Gaussian processes and autoencoders
title_sort building surrogate models of nuclear density functional theory with gaussian processes and autoencoders
topic nuclear density functional theory
Gaussian process
deep learning
autoencoders
resnet
url https://www.frontiersin.org/articles/10.3389/fphy.2022.1028370/full
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