Автор |
D. R. C. Dominguez |
Автор |
M. Maravall |
Автор |
A. Turiel |
Автор |
J. C. Ciria |
Автор |
N. Parga |
Дата выпуска |
1999-03-15 |
dc.description |
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, α = P/N, 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 α ∼ O(1). 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. |
Формат |
application.pdf |
Издатель |
Institute of Physics Publishing |
Копирайт |
1999 EDP Sciences |
Название |
Numerical simulation of a binary communication channel: Comparison between a replica calculation and an exact solution |
Тип |
lett |
DOI |
10.1209/epl/i1999-00230-6 |
Electronic ISSN |
1286-4854 |
Print ISSN |
0295-5075 |
Журнал |
EPL (Europhysics Letters) |
Том |
45 |
Первая страница |
739 |
Последняя страница |
744 |
Аффилиация |
D. R. C. Dominguez; Departamento de Física Teórica, Universidad Autónoma de Madrid Cantoblanco, 28049 Madrid, Spain |
Аффилиация |
M. Maravall; Departamento de Física Teórica, Universidad Autónoma de Madrid Cantoblanco, 28049 Madrid, Spain |
Аффилиация |
A. Turiel; Departamento de Física Teórica, Universidad Autónoma de Madrid Cantoblanco, 28049 Madrid, Spain |
Аффилиация |
J. C. Ciria; Departamento de Física Teórica, Universidad Autónoma de Madrid Cantoblanco, 28049 Madrid, Spain |
Аффилиация |
N. Parga; Departamento de Física Teórica, Universidad Autónoma de Madrid Cantoblanco, 28049 Madrid, Spain |
Выпуск |
6 |