{
  "id": "cond-mat/0107313",
  "version": "v1",
  "published": "2001-07-14T10:23:31.000Z",
  "updated": "2001-07-14T10:23:31.000Z",
  "title": "Numerical simulation of a binary communication channel: Comparison between a replica calculation and an exact solution",
  "authors": [
    "D. R. C. Dominguez",
    "M. Maravall",
    "A. Turiel",
    "J. C. Ciria",
    "N. Parga"
  ],
  "comment": "6 pages, 8 figures, LaTeX file",
  "journal": "Europhysics Letters (45)6, 739-744 (1999)",
  "doi": "10.1209/epl/i1999-00230-6",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "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, $\\alpha = P/N$, 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 $\\alpha \\sim O(1)$. 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 $\\alpha$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2001-07-14T10:23:31.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "binary communication channel",
      "numerical simulation",
      "exact solution",
      "replica calculation",
      "comparison"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}