Fetching the paper…

Reading the bibliography…

2020

Bayesian model averaging for analysis of lattice field theory results

Jay, William I., Neil, Ethan T.

Original
PDF
Post on X

Understand

Statistical modeling is a key component in the extraction of physical results from lattice field theory calculations.

Although the general models used are often strongly motivated by physics, many model variations can frequently be considered for the same lattice data.
Model averaging, which amounts to a probability-weighted average over all model variations, can incorporate systematic errors associated with model choice without being overly conservative.
We discuss the framework of model averaging from the perspective of Bayesian statistics, and give useful formulae and approximations for the particular case of least-squares fitting, commonly used in modeling lattice results.

Bayesian model averaging for analysis of lattice field theory results · Around

Built on

E. Rinaldi, S. Syritsyn, M. L. Wagman, M. I. Buchoff, C. Schroeder, and J. Wasem, Lattice QCD determination of neutron-antineutron matrix elements with physical quark masses, Phys. Rev. D 99
Original
1901
Earlier work this paper cites.
D. V. Lindley, A statistical paradox, Biometrika 44
1957
Earlier work this paper cites.
F. Anscombe, Graphs in statistical analysis, The American Statistician 27
1973
Earlier work this paper cites.
K. Takeuchi, Distribution of information statistics and criteria for adequacy of models, Suri-Kagaku (Mathematical Sciences) 153
1976
Earlier work this paper cites.
M. Stone, An asymptotic equivalence of choice of model by cross-validation and akaike’s criterion, Journal of the Royal Statistical Society. Series B 39
1977
Earlier work this paper cites.
E. E. Leamer and E. E. Leamer, Specification searches: Ad hoc inference with nonexperimental data , Vol. 53 (Wiley New York, 1978)
1978
Earlier work this paper cites.
H. Akaike, A bayesian analysis of the minimum aic procedure, Annals of the Institute of Statistical Mathematics 30
1978
Earlier work this paper cites.
H. White, Maximum likelihood estimation of misspecified models, Econometrica 50
1982
Earlier work this paper cites.
A. Racine, A. Grieve, H. Fluhler, and A. Smith, Bayesian methods in practice: experiences in the pharmaceutical industry, Applied Statistics , 93 (1986)
1986
Earlier work this paper cites.
R. Shibata, Statistical aspects of model selection, in From Data to Model , edited by J. Willems (Springer-Verlag, New York, 1989) pp. 215–240
1989
Earlier work this paper cites.
E. I. George and R. E. McCulloch, Variable selection via gibbs sampling, Journal of the American Statistical Association 88
1993
Earlier work this paper cites.

Similar

R. E. Kass and A. E. Raftery, Bayes factors, Journal of the american statistical association 90
1995
Cited alongside, same era.
S. Konishi and G. Kitagawa, Generalised information criteria in model selection, Biometrika 83
1996
Cited alongside, same era.
H. Akaike, Information theory and an extension of the maximum likelihood principle, in Selected papers of hirotugu akaike (Springer, 1998) pp. 199–213
1998
Cited alongside, same era.
H. Jeffreys, The theory of probability (OUP Oxford, 1998)
1998
Cited alongside, same era.
G. Lepage, B. Clark, C. Davies, K. Hornbostel, P. Mackenzie, C. Morningstar, and H. Trottier, Constrained curve fitting, Nucl. Phys. B Proc. Suppl. 106
2002
Cited alongside, same era.
S. Borsanyi et al. , Leading hadronic contribution to the muon 2 magnetic moment from lattice QCD, Nature 593

Then

C. Davies, K. Hornbostel, I. Kendall, G. Lepage, C. McNeile, J. Shigemitsu, and H. Trottier (HPQCD), Update: Accurate Determinations of alpha(s) from Realistic Lattice QCD, Phys. Rev. D 78
Original
2008
Later among the works it cites.
M. R. Schindler and D. R. Phillips, Bayesian Methods for Parameter Estimation in Effective Field Theories, Annals Phys. 324
Original
2009
Later among the works it cites.
S. Dürr et al. (Budapest-Marseille-Wuppertal), Lattice QCD at the physical point meets SU(2) chiral perturbation theory, Phys. Rev. D 90
Original
2014
Later among the works it cites.
A. Bazavov et al. (Fermilab Lattice, MILC), Charmed and Light Pseudoscalar Meson Decay Constants from Four-Flavor Lattice QCD with Physical Light Quarks, Phys. Rev. D 90
Original
2014
Later among the works it cites.

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

2002

Cited alongside, same era.

C. Morningstar, Bayesian curve fitting for lattice gauge theorists, Nucl. Phys. B Proc. Suppl. 109A

2002

Cited alongside, same era.

A. E. Raftery and Y. Zheng, Discussion: Performance of bayesian model averaging, Journal of the American Statistical Association 98

2003

Cited alongside, same era.

Y. Chen, S.-J. Dong, T. Draper, I. Horvath, K.-F. Liu, N. Mathur, S. Tamhankar, C. Srinivasan, F. X. Lee, and J.-b. Zhang, The Sequential empirical bayes method: An Adaptive constrained-curve fitting algorithm for lattice QCD, (2004), arXiv:hep-lat/0405001

2004

Cited alongside, same era.

N. Miller et al. , F K / F π F_{K}/F_{\pi} from Möbius Domain-Wall fermions solved on gradient-flowed HISQ ensembles, Phys. Rev. D 102

2005

Cited alongside, same era.

E. Berkowitz et al. , An accurate calculation of the nucleon axial charge with lattice QCD, (2017), arXiv:1704.01114 [hep-lat]

2017

Later among the works it cites.

R. D. Cousins, The Jeffreys–Lindley paradox and discovery criteria in high energy physics, Synthese 194

2017

Later among the works it cites.

C. Chang et al. , A per-cent-level determination of the nucleon axial coupling from quantum chromodynamics, Nature 558

2018

Later among the works it cites.

M. Dixon and T. Ward, Takeuchi’s information criteria as a form of regularization, (2018), arXiv:1803.04947 [stat.CO]

2018

Later among the works it cites.

A. Bazavov et al. (Fermilab Lattice, MILC), | V u s | |V_{us}| from K ℓ 3 K_{\ell 3} decay and four-flavor lattice QCD, Phys. Rev. D 99

2019

Later among the works it cites.

E. Gamiz, private communication (2020)

2020

Closest in time.