Magnetic order and categorization in attractor neural networks

The thermodynamic behavior of an extended Hopfield model for an attractor neural network with units in three Ising-states S i and symmetrically random diluted synaptic connections J ij d, between units i and j, is discussed here in the thermodynamic limit within replica-symmetric mean-field theory....

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Bibliographic Details
Published in:Journal of magnetism and magnetic materials 2001-05, Vol.226, p.560-561
Main Authors: Theumann, W.K, Erichsen, R
Format: Article
Language:English
Subjects:
Attractor neural networks
Magnetic order
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Summary:The thermodynamic behavior of an extended Hopfield model for an attractor neural network with units in three Ising-states S i and symmetrically random diluted synaptic connections J ij d, between units i and j, is discussed here in the thermodynamic limit within replica-symmetric mean-field theory. A macroscopic set of random patterns in a two-level hierarchical structure of ancestors and descendents is used to construct the synaptic connections and to determine the magnetic order associated with the recognition of ancestors.
ISSN:0304-8853
DOI:10.1016/S0304-8853(00)00922-7