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 nonexistent. © 1998 The American Physical Society.

Stability of the replica-symmetric solution for the information conveyed by a neural network / Schultz, Simon; Treves, Alessandro. - In: PHYSICAL REVIEW E. - ISSN 1063-651X. - 57:3(1998), pp. 3302-3310. [10.1103/PhysRevE.57.3302]

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

Schultz, Simon;Treves, Alessandro
1998

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 nonexistent. © 1998 The American Physical Society.
57
3
3302
3310
Schultz, Simon; Treves, Alessandro
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/85782
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