Abstract
The Glauber dynamics of magnetic systems has been extended to the case of neural networks with a general odd response function. We have derived a set of recursion relations for the overlap parameter, noise average, and noise variance taken as macrovariables of the process describing the dynamics of associative memory. The retrieval process has been studied then for a hyperbolic tangent transfer function by the self-consistent signal to noise ratio method. The fatigue effect of the real neuron has been taken into account. The phase diagrams of the retrieval process reveal an enhanced storage capacity for a certain set of values of the parameters. Finally, a set of equations for the overlap parameters in the case of continuous asynchronous dynamics with nomonotone neurons has been analytically derived.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 2619-2623 |
| Number of pages | 5 |
| Journal | Physical Review E |
| Volume | 51 |
| Issue number | 3 |
| DOIs | |
| State | Published - Jan 1 1995 |
| Externally published | Yes |
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ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics
- Condensed Matter Physics
- Physics and Astronomy(all)
Cite this
Dynamics of associative memory with a general transfer function. / Opris, Ioan.
In: Physical Review E, Vol. 51, No. 3, 01.01.1995, p. 2619-2623.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Dynamics of associative memory with a general transfer function
AU - Opris, Ioan
PY - 1995/1/1
Y1 - 1995/1/1
N2 - The Glauber dynamics of magnetic systems has been extended to the case of neural networks with a general odd response function. We have derived a set of recursion relations for the overlap parameter, noise average, and noise variance taken as macrovariables of the process describing the dynamics of associative memory. The retrieval process has been studied then for a hyperbolic tangent transfer function by the self-consistent signal to noise ratio method. The fatigue effect of the real neuron has been taken into account. The phase diagrams of the retrieval process reveal an enhanced storage capacity for a certain set of values of the parameters. Finally, a set of equations for the overlap parameters in the case of continuous asynchronous dynamics with nomonotone neurons has been analytically derived.
AB - The Glauber dynamics of magnetic systems has been extended to the case of neural networks with a general odd response function. We have derived a set of recursion relations for the overlap parameter, noise average, and noise variance taken as macrovariables of the process describing the dynamics of associative memory. The retrieval process has been studied then for a hyperbolic tangent transfer function by the self-consistent signal to noise ratio method. The fatigue effect of the real neuron has been taken into account. The phase diagrams of the retrieval process reveal an enhanced storage capacity for a certain set of values of the parameters. Finally, a set of equations for the overlap parameters in the case of continuous asynchronous dynamics with nomonotone neurons has been analytically derived.
UR - http://www.scopus.com/inward/record.url?scp=0000996049&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0000996049&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.51.2619
DO - 10.1103/PhysRevE.51.2619
M3 - Article
AN - SCOPUS:0000996049
VL - 51
SP - 2619
EP - 2623
JO - Physical review. E
JF - Physical review. E
SN - 2470-0045
IS - 3
ER -