Positive and negative circuits in discrete neural networks

Julio Aracena, Jacques Demongeot, Eric Goles

Resultado de la investigación: Contribución a una revistaArtículorevisión exhaustiva

58 Citas (Scopus)

Resumen

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.

Idioma originalInglés
Páginas (desde-hasta)77-83
Número de páginas7
PublicaciónIEEE Transactions on Neural Networks
Volumen15
N.º1
DOI
EstadoPublicada - ene. 2004
Publicado de forma externa

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