One-step replica-symmetry-breaking solution of the Sherrington–Kirkpatrick model under a Gaussian random field

2011 ◽  
Vol 2011 (07) ◽  
pp. P07014 ◽  
Author(s):  
S G Magalhães ◽  
C V Morais ◽  
F D Nobre
Keyword(s):  
Symmetry Breaking ◽  
Random Field ◽  
Gaussian Random Field ◽  
Replica Symmetry ◽  
Replica Symmetry Breaking ◽  
Kirkpatrick Model ◽  
One Step

REPLICA SYMMETRY BREAKING IN NEURAL NETWORKS WITH NON-MONOTONE ACTIVATION FUNCTION

1996 ◽  
Vol 07 (01) ◽  
pp. 19-32 ◽  
Author(s):  
A. LAMURA ◽  
C. MARANGI ◽  
G. NARDULLI
Keyword(s):  
Neural Networks ◽  
Symmetry Breaking ◽  
Fixed Points ◽  
Storage Capacity ◽  
Activation Function ◽  
Replica Symmetry ◽  
Replica Symmetry Breaking ◽  
Domains Of Attraction ◽  
One Step ◽  
The Stability

In this paper we analyze replica symmetry breaking in attractor neural networks with non-monotone activation function. We study the non-monotone version of the Edinburgh model, which allows the control of the domains of attraction by the stability parameter K, and we compute, at one step of symmetry breaking, storage capacity and, for the strongly dilute model, the domains of attraction of the stable fixed points.

Replica symmetry breaking in random-field systems

1987 ◽  
Vol 35 (13) ◽  
pp. 7267-7270 ◽  
Author(s):  
J. R. L. de Almeida ◽  
R. Bruinsma
Keyword(s):  
Symmetry Breaking ◽  
Random Field ◽  
Replica Symmetry ◽  
Replica Symmetry Breaking ◽  
Field Systems
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