ON THE MULTI-NEURON INTERACTION-MODEL WITHOUT TRUNCATING THE INTERACTION

Citation
D. Bolle et al., ON THE MULTI-NEURON INTERACTION-MODEL WITHOUT TRUNCATING THE INTERACTION, Journal of physics. A, mathematical and general, 27(17), 1994, pp. 5871-5878
Citations number
22
Categorie Soggetti
Physics
ISSN journal
03054470
Volume
27
Issue
17
Year of publication
1994
Pages
5871 - 5878
Database
ISI
SICI code
0305-4470(1994)27:17<5871:OTMIWT>2.0.ZU;2-B
Abstract
A replica-symmetric mean-field theory approach is presented to the mul ti-neuron interaction model introduced by de Almeida and Iglesias (199 0 Phys. Lett. 146A 239). Fixed-point equations are derived for the rel evant order parameters of the model, extended to include biased patter ns, without truncating the interaction. The capacity-bias and the temp erature-capacity phase diagrams are discussed. Compared with the trunc ated version of the model, it is found that the capacity at zero tempe rature is infinite and that the retrieval states satisfy the de Almeid a-Thouless stability condition.