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Flow Diagrams of the Quadratic Neural Network
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Flow Diagrams of the Quadratic Neural Network
David R. C. Dominguez5  , E. Korutcheva6, 8, W. K. Theumann7 and R. Erichsen Jr.7
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E.T.S. Informática, Universidad Autónoma de Madrid, Cantoblanco, 28049 Madrid, Spain |
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Departamento de Física Fundamental, UNED, c/Senda del Rey No 9, 28080 Madrid, Spain |
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Instituto de Física, Universidade Federal do Rio Grande do Sul, C.Postal 15051, 91501-970 Porto Alegre, Brazil |
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G.Nadjakov Inst. Solid State Physics, Bulgarian Academy of Sciences, 1784 Sofia, Bulgaria |
Abstract
The macroscopic dynamics of an extremely diluted three-state neural network based on mutual information and mean-field theory
arguments is studied in order to establish the stability of the stationary states. Results are presented in terms of the pattern-recognition
overlap, the neural activity, and the activity-overlap. It is shown that the presence of synaptic noise is essential for the
stability of states that recognize only the active patterns when the full structure of the patterns is not recognizable. Basins
of attraction of considerable size are obtained in all cases for a not too large storage ratio of patterns.
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