Damage Propagation in a Diluted Asymmetric Neural Network

Crisógono R. da Silva (), Ladário da Silva () and Francisco A. Tamarit ()
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Crisógono R. da Silva: Departamento de Física, Universidade Federal de Alagoas, Campus A. C. Simões - BR 104 Norte, 57072-970 Maceió - AL, Brazil
Ladário da Silva: Centro Brasileiro de Pesquisas Físicas, Rua Xavier Sigaud 150, 22290-180 Rio de Janeiro, Brazil
Francisco A. Tamarit: Fa.M.A.F., Universidad Nacional de Córdoba, Ciudad Universitaria, 5000 Córdoba, Argentina

International Journal of Modern Physics C (IJMPC), 1998, vol. 09, issue 01, 31-41

Abstract: We study numerically the nature of the retrieval attractors in an asymmetrically diluted Hopfield neural network through the damage propagation technique. We consider the damage evolution of two replicas, initially very close to each other and having both finite projection with one memorized pattern. By analyzing the asymptotic behavior of the damage, we characterize the dynamical nature of the retrieval attractors. We found, in the recognition phase, a dynamical phase transition separating chaotic and fixed point retrieval trajectories. We also present a conjugate fieldhassociated with the damage, which destroys the dynamical transition and whose corresponding susceptibility presents a sharp peak at the critical parameter.

Keywords: Damage Spreading; Hopfield Model; Asymmetrical Dilution (search for similar items in EconPapers)
Date: 1998
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DOI: 10.1142/S0129183198000042

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