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      Stability of the replica symmetric solution for the information conveyed by by a neural network

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          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.

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          Solvable Model of a Spin-Glass

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            Stability of the Sherrington-Kirkpatrick solution of a spin glass model

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              The space of interactions in neural network models

              S Gardner (1988)
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                Author and article information

                Journal
                19 September 1997
                1997-11-09
                Article
                10.1103/PhysRevE.57.3302
                cond-mat/9709219
                fa429f8b-4c49-433b-ac8d-285b9050caa1
                History
                Custom metadata
                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
                cond-mat.dis-nn q-bio

                Quantitative & Systems biology,Theoretical physics
                Quantitative & Systems biology, Theoretical physics

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