Paper available

[Simon Schultz]

Dear Connectionists,

Preprints of the following paper are available via WWW. It has been
accepted for publication in Physical Review E. 

STABILITY OF THE REPLICA SYMMETRIC SOLUTION FOR THE INFORMATION CONVEYED
BY A NEURAL NETWORK

S. Schultz(1) and A. Treves(2)

(1) Department of Experimental Psychology, University of Oxford, UK.
(2) Programme in Neuroscience, SISSA, Trieste, Italy.

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.

19 pages, 5 figures.
http://www.mrc-bbc.ox.ac.uk/~schultz/rstab.ps.gz

Sincerely,
S. Schultz
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                            Simon Schultz                       
Department of Experimental Psychology                             also:
University of Oxford                             Corpus Christi College
South Parks Rd., Oxford OX1 3UD                          Oxford OX1 4JF
              
	    Phone: +44-1865-271419  Fax: +44-1865-310447 
                http://www.mrc-bbc.ox.ac.uk/~schultz/
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