PMID: 12786131Jun 6, 2003Paper

Structural information in two-dimensional patterns: entropy convergence and excess entropy

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
David P Feldman, James P Crutchfield

Abstract

We develop information-theoretic measures of spatial structure and pattern in more than one dimension. As is well known, the entropy density of a two-dimensional configuration can be efficiently and accurately estimated via a converging sequence of conditional entropies. We show that the manner in which these conditional entropies converge to their asymptotic value serves as a measure of global correlation and structure for spatial systems in any dimension. We compare and contrast entropy convergence with mutual-information and structure-factor techniques for quantifying and detecting spatial structure.

References

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Citations

Dec 1, 2011·Theory in Biosciences = Theorie in Den Biowissenschaften·Joseph T LizierAlbert Y Zomaya
Jul 19, 2011·Artificial Life·Joseph T LizierMikhail Prokopenko
Mar 29, 2013·The American Naturalist·Paul E SmaldinoRichard McElreath
Dec 26, 2007·NeuroImage·Karl Young, Norbert Schuff
Aug 5, 2008·Human Brain Mapping·Karl YoungNorbert Schuff
Jul 15, 2015·International Journal of Breast Cancer·Wenda HeReyer Zwiggelaar
May 6, 2011·The Journal of Membrane Biology·William F HeinzJan H Hoh
Dec 12, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Andrew J DunleavyC Patrick Royall
Dec 18, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·R T Cerbus, W I Goldburg
Mar 15, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·O Melchert, A K Hartmann
Jun 25, 2018·Entropy·Ester BonmatiImma Boada
Oct 31, 2018·Entropy·Vinicius M NettoPatricia Sanches
Dec 18, 2020·Physical Review. E·Arthur A B Pessa, Haroldo V Ribeiro
Jun 11, 2018·Frontiers in Robotics and AI·Douglas G MooreMichael Levin
Mar 24, 2005·Physical Review Letters·Karl YoungNorbert Schuff
Mar 19, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·O Melchert, A K Hartmann
Aug 1, 2006·Journal of Neuroscience Methods·Yang CaoTiande Shou

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