title: Self-association in multilayer linear networks with limited connectivity.
abstract: We study the behavior of linear neural networks having constrained connectivity of Hebbian and anti-Hebbian synapses. We derive some general results for cascade architectures and a formula for the number of layers necessary to obtain a sufficiently close approximation to the principal components at the final outputs. Results of a number of simulations confirm the analyses.
authors.affiliation: Dipartimento di Ingegneria Elettronica, Università degli Studi di Napoli 'Federico II', Napoli, Italy
authors.forename: Francesco
authors.initials: F
authors.lastname: Palmieri
authors.forename: Michele
authors.initials: M
authors.lastname: Corvino