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Critical branching processes in neural networks
Author(s) -
Levina Anna,
Herrmann J. Michael,
Denker Manfred
Publication year - 2007
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200700029
Subject(s) - branching (polymer chemistry) , artificial neural network , criticality , neural system , simple (philosophy) , complex system , computer science , mean field theory , statistical physics , deep neural networks , biological system , artificial intelligence , physics , chemistry , neuroscience , biology , quantum mechanics , philosophy , organic chemistry , epistemology , nuclear physics
Self‐organized criticality generates complex behavior in systems of simple elements. It is observed in various biological neural systems and has been analyzed in simplified model systems. Branching processes often considered to be a mean‐field approximation to the dynamics of critical systems. Here we study the validity of such an approximation for the case of a neural network. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)