A canonical ensemble approach to graded-response perceptrons

Details A canonical ensemble approach to graded-response perceptrons A canonical ensemble approach to graded-response perceptrons

1998-02-06

arxiv.org/abs/cond-mat/9802075v1

Phys. Rev. E 59, 3386 (1999)

Physics

Condensed Matter

Disordered Systems and Neural Networks

26 pages, 10 ps figures

Scientific paper

10.1103/PhysRevE.59.3386

Perceptrons with graded input-output relations and a limited output precision are studied within the Gardner-Derrida canonical ensemble approach. Soft non- negative error measures are introduced allowing for extended retrieval properties. In particular, the performance of these systems for a linear and quadratic error measure, corresponding to the perceptron respectively the adaline learning algorithm, is compared with the performance for a rigid error measure, simply counting the number of errors. Replica-symmetry-breaking effects are evaluated.

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