THE NUMBER OF METASTABLE STATES IN THE PROJECTION RULE NEURAL-NETWORK

Authors
KUHLMANN P ANLAUF JK
Citation
P. Kuhlmann et Jk. Anlauf, THE NUMBER OF METASTABLE STATES IN THE PROJECTION RULE NEURAL-NETWORK, Journal of physics. A, mathematical and general, 27(17), 1994, pp. 5857-5870
Citations number
31
Categorie Soggetti
Physics
Journal title
Journal of physics. A, mathematical and general → ACNP
ISSN journal
03054470
Volume
27
Issue
17
Year of publication
1994
Pages
5857 - 5870
Database
ISI
SICI code
0305-4470(1994)27:17<5857:TNOMSI>2.0.ZU;2-A
Abstract
We calculate the direct average [N] of the number of metastable states in the projection rule neural network by means of the saddle-point me thod. [N] is obtained as a function of the Hamming distance g to a giv en pattern, stability gamma and energy E. The critical storage capacit y of the model is calculated. The examination of the energy dependence of [N] leads to lower bounds for the energies of the spin-glass state s.