Direct Comparison between Bayesian and Frequentist Uncertainty Quantification for Nuclear Reactions

King, G. B.; Lovell, A. E.; Neufcourt, L.; Nunes, F. M.

doi:10.1103/PhysRevLett.122.232502

Title: Direct Comparison between Bayesian and Frequentist Uncertainty Quantification for Nuclear Reactions

Authors:

King, G. B. ^[1]; Lovell, A. E. ^[2]; Neufcourt, L. ^[1]; Nunes, F. M. ^[1]

Michigan State Univ., East Lansing, MI (United States)
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

Publication Date:: Fri Jun 14 00:00:00 EDT 2019

Research Org.:: Michigan State Univ., East Lansing, MI (United States); Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Org.:: USDOE National Nuclear Security Administration (NNSA)

OSTI Identifier:: 1526302

Alternate Identifier(s):: OSTI ID: 1542856; OSTI ID: 1546228

Report Number(s):: LA-UR-19-24496
Journal ID: ISSN 0031-9007; PRLTAO

Grant/Contract Number:: FG52-08NA28552; 89233218CNA000001; SC0018083; NA0002135

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review Letters

Additional Journal Information:: Journal Volume: 122; Journal Issue: 23; Journal ID: ISSN 0031-9007

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; uncertainty quantification; Bayesian

Citation Formats


                    King, G. B., Lovell, A. E., Neufcourt, L., and Nunes, F. M. Direct Comparison between Bayesian and Frequentist Uncertainty Quantification for Nuclear Reactions.  United States: N. p., 2019. 
Web.  doi:10.1103/PhysRevLett.122.232502.

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                    King, G. B., Lovell, A. E., Neufcourt, L., & Nunes, F. M. Direct Comparison between Bayesian and Frequentist Uncertainty Quantification for Nuclear Reactions.  United States.  https://doi.org/10.1103/PhysRevLett.122.232502

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                    King, G. B., Lovell, A. E., Neufcourt, L., and Nunes, F. M. Fri .  
"Direct Comparison between Bayesian and Frequentist Uncertainty Quantification for Nuclear Reactions".  United States.  https://doi.org/10.1103/PhysRevLett.122.232502.  https://www.osti.gov/servlets/purl/1526302.

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@article{osti_1526302,

  title        = {Direct Comparison between Bayesian and Frequentist Uncertainty Quantification for Nuclear Reactions},

  author       = {King, G. B. and Lovell, A. E. and Neufcourt, L. and Nunes, F. M.},

  abstractNote = {},

  doi          = {10.1103/PhysRevLett.122.232502},

  journal      = {Physical Review Letters},

  number       = 23,

  volume       = 122,

  place        = {United States},

  year         = {Fri Jun 14 00:00:00 EDT 2019},

  month        = {Fri Jun 14 00:00:00 EDT 2019}

}

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https://doi.org/10.1103/PhysRevLett.122.232502

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Cited by: 50 works

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Figures / Tables:

TABLE I: List of reactions studied: beam energy (col. 2), data reference (col. 3), percentage of the data that falls into the 95% confidence interval obtained in the frequentist approach (col. 4) and the Bayesian approach (col. 5).

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Works referenced in this record:

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Constraining transfer cross sections using Bayes' theorem
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Uncertainty quantification due to optical potentials in models for ( $d, p$ ) reactions
journal, October 2018

King, G. B.; Lovell, A. E.; Nunes, F. M.
Physical Review C, Vol. 98, Issue 4
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Similar Records

Title: Direct Comparison between Bayesian and Frequentist Uncertainty Quantification for Nuclear Reactions

Citation Formats

Figures / Tables:

Quantifying truncation errors in effective field theory journal, August 2015

Bayesian truncation errors in chiral effective field theory: Nucleon-nucleon observables journal, August 2017

Bayesian approach to model-based extrapolation of nuclear observables journal, September 2018

Precision Mass Measurements of Neutron-Rich Neodymium and Samarium Isotopes and Their Role in Understanding Rare-Earth Peak Formation journal, June 2018

Neutron Star Tidal Deformabilities Constrained by Nuclear Theory and Experiment journal, August 2018

Constraining transfer cross sections using Bayes' theorem journal, June 2018

Nucleon-Nucleus Optical-Model Parameters, A > 40 , E < 50 MeV journal, June 1969

A global nucleon optical model potential journal, March 1991

Local and global nucleon optical models from 1 keV to 200 MeV journal, January 2003

Uncertainty quantification for optical model parameters journal, February 2017

Uncertainty quantification due to optical potentials in models for ( d , p ) reactions journal, October 2018

Nuclear Reactions for Astrophysics: Principles, Calculation and Applications of Low-Energy Reactions book, January 2009

Nuclear sizes in 40, 44, 48Ca journal, June 1972

Asymmetry dependence of nucleon correlations in spherical nuclei extracted from a dispersive-optical-model analysis journal, June 2011

Elastic scattering of protons from 40 , 42 , 44 , 48 Ca from 20 to 50 MeV and nuclear matter radii journal, May 1986

Zr 9 0 , 9 2 , 9 4 ( p , p ′ ) Reactions at 12.7 MeV journal, April 1968

Neutron scattering from 90,91,92,94Zr journal, October 1990

Scattering of 22.5-MeV Protons from Zirconium and the Symmetry Term in the Nuclear Optical Potential journal, August 1964

Proton Elastic Scattering Measurements at 16 MeV with Optical-Model Analysis journal, March 1972

Optical-model analysis of p + Pb 208 elastic scattering from 15 - 1000 MeV journal, July 1974

Coupled reaction channels calculations in nuclear physics journal, April 1988

An approximate three-body theory of deuteron stripping journal, December 1974

Transfer reaction code with nonlocal interactions journal, October 2016

Forbidden transitions in the Ca 48 ( d , p ) Ca 49 reaction journal, September 1975

Quantifying truncation errors in effective field theory
journal, August 2015

Bayesian truncation errors in chiral effective field theory: Nucleon-nucleon observables
journal, August 2017

Bayesian approach to model-based extrapolation of nuclear observables
journal, September 2018

Precision Mass Measurements of Neutron-Rich Neodymium and Samarium Isotopes and Their Role in Understanding Rare-Earth Peak Formation
journal, June 2018

Neutron Star Tidal Deformabilities Constrained by Nuclear Theory and Experiment
journal, August 2018

Constraining transfer cross sections using Bayes' theorem
journal, June 2018

Nucleon-Nucleus Optical-Model Parameters, $A > 40$ , $E < 50$ MeV
journal, June 1969

A global nucleon optical model potential
journal, March 1991

Local and global nucleon optical models from 1 keV to 200 MeV
journal, January 2003

Uncertainty quantification for optical model parameters
journal, February 2017

Uncertainty quantification due to optical potentials in models for ( $d, p$ ) reactions
journal, October 2018

Nuclear Reactions for Astrophysics: Principles, Calculation and Applications of Low-Energy Reactions
book, January 2009

Nuclear sizes in 40, 44, 48Ca
journal, June 1972

Asymmetry dependence of nucleon correlations in spherical nuclei extracted from a dispersive-optical-model analysis
journal, June 2011

Elastic scattering of protons from ${}^{40}$ , 42 , 44 , 48 Ca from 20 to 50 MeV and nuclear matter radii
journal, May 1986

${}^{90, 92, 94}{Zr} (p, p^{'})$ Reactions at 12.7 MeV
journal, April 1968

Neutron scattering from 90,91,92,94Zr
journal, October 1990

Scattering of 22.5-MeV Protons from Zirconium and the Symmetry Term in the Nuclear Optical Potential
journal, August 1964

Proton Elastic Scattering Measurements at 16 MeV with Optical-Model Analysis
journal, March 1972

Optical-model analysis of $p + {}^{208}{Pb}$ elastic scattering from 15 - 1000 MeV
journal, July 1974

Coupled reaction channels calculations in nuclear physics
journal, April 1988

An approximate three-body theory of deuteron stripping
journal, December 1974

Transfer reaction code with nonlocal interactions
journal, October 2016

Forbidden transitions in the ${}^{48}{Ca} (d, p) {}^{49}{Ca}$ reaction
journal, September 1975