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Model averaging approaches to data subset selection

Journal Article · · Physical Review. E
 [1];  [2]
  1. University of Colorado, Boulder, CO (United States); University of Colorado
  2. University of Colorado, Boulder, CO (United States)
Model averaging is a useful and robust method for dealing with model uncertainty in statistical analysis. Often, it is useful to consider data subset selection at the same time, in which model selection criteria are used to compare models across different subsets of the data. Two different criteria have been proposed in the literature for how the data subsets should be weighted. We compare the two criteria closely in a unified treatment based on the Kullback-Leibler divergence and conclude that one of them is subtly flawed and will tend to yield larger uncertainties due to loss of information. Here, analytical and numerical examples are provided.
Research Organization:
University of Colorado, Boulder, CO (United States)
Sponsoring Organization:
USDOE Office of Science (SC), High Energy Physics (HEP)
Grant/Contract Number:
SC0010005
OSTI ID:
2223083
Journal Information:
Physical Review. E, Journal Name: Physical Review. E Journal Issue: 4 Vol. 108; ISSN 2470-0045
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

References (8)

Information Criteria and Statistical Modeling book October 2007
Constrained curve fitting journal March 2002
A high-bias, low-variance introduction to Machine Learning for physicists journal May 2019
Leading hadronic contribution to the muon magnetic moment from lattice QCD journal April 2021
Bayesian model averaging for analysis of lattice field theory results journal June 2021
B ( s ) 0 -mixing matrix elements from lattice QCD for the Standard Model and beyond journal June 2016
Ab initio calculation of the neutron-proton mass difference journal March 2015
On Information and Sufficiency journal March 1951

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