| Issue |
Europhys. Lett.
Volume 45, Number 6, March II 1999
|
|
|---|---|---|
| Page(s) | 739 - 744 | |
| Section | Interdisciplinary physics and related areas of science and technology | |
| DOI | https://doi.org/10.1209/epl/i1999-00230-6 | |
| Published online | 01 September 2002 | |
Numerical simulation of a binary communication channel: Comparison between a replica calculation and an exact solution
Departamento de Física Teórica,
Universidad Autónoma de Madrid Cantoblanco, 28049 Madrid, Spain
Received:
3
May
1998
Accepted:
6
January
1999
The mutual information of a single-layer perceptron with N Gaussian
inputs and P deterministic binary outputs is studied by numerical
simulations. The relevant parameters of the problem are the ratio
between the number of output and input units, 
, and
those describing the two-point correlations between inputs. The main
motivation of this work refers to the comparison between the replica
computation of the mutual information and an analytical solution valid
up to 
. The most relevant results are: 1) the
simulation supports the validity of the analytical prediction, and 2)
it also verifies a previously proposed conjecture that the replica
solution interpolates well between large and small values of α.
PACS: 87.10.+e – Biological and medical physics: General theory and mathematical aspects / 64.60.Cn – Order-disorder transformations; statistical mechanics of model systems
© EDP Sciences, 1999
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