"Sloppy" nuclear energy density functionals: Effective model reduction

Nikšić, Tamara and Vretenar, Dario (2016) "Sloppy" nuclear energy density functionals: Effective model reduction. Physical Review C, 94 (2). pp. 24333-14. ISSN 2469-9985

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Abstract

Concepts from information geometry are used to analyze parameter sensitivity for a nuclear energy density functional, representative of a class of semiempirical functionals that start from a microscopically motivated ansatz for the density dependence of the energy of a system of protons and neutrons. It is shown that such functionals are “sloppy,” namely, characterized by an exponential range of sensitivity to parameter variations. Responsive to only a few stiff parameter combinations, sloppy functionals exhibit an exponential decrease of sensitivity to variations of the remaining soft parameters. By interpreting the space of model predictions as a manifold embedded in the data space, with the parameters of the functional as coordinates on the manifold, it is also shown that the exponential distribution of model manifold widths corresponds to the range of parameter sensitivity. Using the manifold boundary approximation method, we illustrate how to systematically construct effective nuclear density functionals of successively lower dimension in parameter space until sloppiness is eventually eliminated and the resulting functional contains only stiff combinations of parameters.

Item Type: Article
Date: 24 August 2016
Subjects: NATURAL SCIENCES > Physics
Additional Information: © 2016 American Physical Society. Received 28 June 2016; published 24 August 2016.
Divisions: Faculty of Science > Department of Physics
Publisher: American Physical Society
Depositing User: Gordana Stubičan Ladešić
Date Deposited: 12 Sep 2016 11:11
Last Modified: 29 Nov 2017 16:42
URI: http://digre.pmf.unizg.hr/id/eprint/5047

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