Retrieval behavior and thermodynamic properties of symmetrically diluted Q-Ising neural networks
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 dia...
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| Veröffentlicht in: | Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics Statistical physics, plasmas, fluids, and related interdisciplinary topics, 2001-12, Vol.64 (6 Pt 1), p.061902-061902, Article 061902 |
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| container_issue | 6 Pt 1 |
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| container_title | Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics |
| container_volume | 64 |
| creator | Theumann, W K Erichsen, Jr, R |
| description | 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=infinity 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. |
| doi_str_mv | 10.1103/PhysRevE.64.061902 |
| format | Article |
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| issn | 1539-3755 1063-651X 1095-3787 |
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| source | MEDLINE; American Physical Society Journals |
| subjects | Animals Biophysical Phenomena Biophysics Models, Statistical Neural Networks (Computer) Neurons - physiology Thermodynamics |
| title | Retrieval behavior and thermodynamic properties of symmetrically diluted Q-Ising neural networks |
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