Positive and negative circuits in discrete neural networks

IEEE Transactions on Neural Networks
J AracenaEric Goles

Abstract

We study the relationships between the positive and negative circuits of the connection graph and the fixed points of discrete neural networks (DNNs). As main results, we give necessary conditions and sufficient conditions for the existence of fixed points in a DNN. Moreover, we exhibit an upper bound for the number of fixed points in terms of the structure and number of positive circuits in the connection graph. This allows the determination of the maximum capacity for storing vectors in DNNs as fixed points, depending on the architecture of the network.

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Citations

Mar 19, 2013·Bulletin of Mathematical Biology·Jean-Paul CometDenis Thieffry
Jul 16, 2009·Médecine sciences : M/S·Jacques Demongeot
Oct 1, 2013·Journal of Computational Biology : a Journal of Computational Molecular Cell Biology·Avraham A Melkman, Tatsuya Akutsu
Nov 4, 2009·Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences·Lamia AbbasNicolas Glade
Dec 27, 2011·The Plant Cell·Camilo La RotaFrançoise Monéger
Mar 29, 2011·Journal of Theoretical Biology·Jacques DemongeotFlorence Thuderoz
Jun 13, 2012·IEEE/ACM Transactions on Computational Biology and Bioinformatics·Tatsuya AkutsuTakeyuki Tamura
Apr 1, 2008·Biophysical Journal·Eduardo SontagAbdul Salam Jarrah
Sep 6, 2005·Journal of Theoretical Biology·Julio AracenaVerónica Cambiazo
Sep 28, 2010·Journal of Theoretical Biology·Gilles DidierClaudine Chaouiya
Dec 30, 2014·Neural Networks : the Official Journal of the International Neural Network Society·Eric Goles, Gonzalo A Ruz

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IEEE Transactions on Systems, Man, and Cybernetics. Part B, Cybernetics : a Publication of the IEEE Systems, Man, and Cybernetics Society
J AracenaJ Demongeot
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