Mean-field dynamics of sequence processing neural networks with finite connectivity
✍ Scribed by W.K. Theumann
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 167 KB
- Volume
- 328
- Category
- Article
- ISSN
- 0378-4371
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✦ Synopsis
A recent dynamic mean-ÿeld theory for sequence processing in fully connected neural networks of Hopÿeld-type is extended and analyzed here for a symmetrically diluted network with ÿnite connectivity near saturation. Equations for the dynamics and the stationary states are obtained for the macroscopic observables and the precise equivalence is established with the single-pattern retrieval problem in a layered feed-forward network with ÿnite connectivity.
📜 SIMILAR VOLUMES
Dynamics of a one-dimensional neural network with external periodic stimulation are investigated numerically. Synaptic connections with constant and random values were assumed. Three ranges of network dynamics-periodic, intermediate and chaotic-were found, depending on the number of short-range syna