Q-Ising neural network dynamics: a comparative review of various architectures
| dc.creator | Bolle, D. | |
| dc.creator | Jongen, G. | |
| dc.creator | Shim, G. M. | |
| dc.date | 1999-07-26 | |
| dc.date.accessioned | 2026-07-25T23:50:00Z | |
| dc.description | This contribution reviews the parallel dynamics of Q-Ising neural networks for various architectures: extremely diluted asymmetric, layered feedforward, extremely diluted symmetric, and fully connected. Using a probabilistic signal-to-noise ratio analysis, taking into account all feedback correlations, which are strongly dependent upon these architectures the evolution of the distribution of the local field is found. This leads to a recursive scheme determining the complete time evolution of the order parameters of the network. Arbitrary Q and mainly zero temperature are considered. For the asymmetrically diluted and the layered feedforward network a closed-form solution is obtained while for the symmetrically diluted and fully connected architecture the feedback correlations prevent such a closed-form solution. For these symmetric networks equilibrium fixed-point equations can be derived under certain conditions on the noise in the system. They are the same as those obtained in a thermodynamic replica-symmetric mean-field theory approach. | |
| dc.description | To appear in the proceedings of the Int. Conf. on Math. Phys. and Stochastic Analysis (Lisbon, October, 1998), ed. S. Albevero et all (World Scientific) | |
| dc.identifier | https://arxiv.org/abs/cond-mat/9907390 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/9907390 | |
| dc.identifier.uri | https://dspace.dare.co.zw/handle/123456789/101829 | |
| dc.subject | Disordered Systems and Neural Networks | |
| dc.title | Q-Ising neural network dynamics: a comparative review of various architectures | |
| dc.type | text |