𝔖 Bobbio Scriptorium
✦   LIBER   ✦

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

No coin nor oath required. For personal study only.

✦ 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 net
✍ A Grabowski; R.A Kosiński; A Krawiecki 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 752 KB

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