{
  "id": "cond-mat/9709219",
  "version": "v2",
  "published": "1997-09-19T14:46:01.000Z",
  "updated": "1997-11-09T14:52:27.000Z",
  "title": "Stability of the replica symmetric solution for the information conveyed by by a neural network",
  "authors": [
    "Simon Schultz",
    "Alessandro Treves"
  ],
  "comment": "19 pages, LaTeX, 5 figures. Also available at http://www.mrc-bbc.ox.ac.uk/~schultz/papers.html . Submitted to Phys. Rev. E Minor changes",
  "doi": "10.1103/PhysRevE.57.3302",
  "categories": [
    "cond-mat.dis-nn",
    "q-bio"
  ],
  "abstract": "The information that a pattern of firing in the output layer of a feedforward network of threshold-linear neurons conveys about the network's inputs is considered. A replica-symmetric solution is found to be stable for all but small amounts of noise. The region of instability depends on the contribution of the threshold and the sparseness: for distributed pattern distributions, the unstable region extends to higher noise variances than for very sparse distributions, for which it is almost nonexistant.",
  "revisions": [
    {
      "version": "v2",
      "updated": "1997-11-09T14:52:27.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "replica symmetric solution",
      "neural network",
      "information",
      "higher noise variances",
      "threshold-linear neurons conveys"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. E"
    },
    "note": {
      "typesetting": "LaTeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}