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Fisher transfer entropy: quantifying the gain in transient sensitivity
Author(s) -
Mikhail Prokopenko,
Lionel Barnett,
Michael Harré,
Joseph T. Lizier,
Oliver Obst,
X. Rosalind Wang
Publication year - 2015
Publication title -
proceedings of the royal society a mathematical physical and engineering sciences
Language(s) - English
Resource type - Journals
eISSN - 1471-2946
pISSN - 1364-5021
DOI - 10.1098/rspa.2015.0610
Subject(s) - transfer entropy , statistical physics , glauber , ising model , entropy (arrow of time) , observable , maximum entropy thermodynamics , principle of maximum entropy , joint entropy , mathematics , physics , joint quantum entropy , statistics , quantum mechanics , scattering
We introduce a novel measure, Fisher transfer entropy (FTE), which quantifies a gain in sensitivity to a control parameter of a state transition, in the context of another observable source. The new measure captures both transient and contextual qualities of transfer entropy and the sensitivity characteristics of Fisher information. FTE is exemplified for a ferromagnetic two-dimensional lattice Ising model with Glauber dynamics and is shown to diverge at the critical point.

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