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Retrieval behavior and thermodynamic properties of symmetrically diluted Q-ising neural networks

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Retrieval behavior and thermodynamic properties of symmetrically diluted Q-ising neural networks

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Título Retrieval behavior and thermodynamic properties of symmetrically diluted Q-ising neural networks
Autor Theumann, Walter Karl
Erichsen Junior, Rubem
Abstract The retrieval behavior and thermodynamic properties of symmetrically diluted Q-Ising neural networks are derived and studied in replica-symmetric mean-field theory generalizing earlier works on either the fully connected or the symmetrical extremely diluted network. Capacity-gain parameter phase diagrams are obtained for the Q=3, Q=4, and Q=∞ state networks with uniformly distributed patterns of low activity in order to search for the effects of a gradual dilution of the synapses. It is shown that enlarged regions of continuous changeover into a region of optimal performance are obtained for finite stochastic noise and small but finite connectivity. The de Almeida-Thouless lines of stability are obtained for arbitrary connectivity, and the resulting phase diagrams are used to draw conclusions on the behavior of symmetrically diluted networks with other pattern distributions of either high or low activity.
Contido em Physical review. E, Statistical, nonlinear, and soft matter physics. Vol. 64, no. 6 pt. 1 (Dec. 2001), 061902, 11 p.
Assunto Diagramas de fase
Estabilidade
Propriedades termodinamicas
Redes neurais
Origem Estrangeiro
Tipo Artigo de periódico
URI http://hdl.handle.net/10183/101351
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