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A canonical ensemble approach to graded-response perceptrons

D. Bolle·R. Erichsen Jr
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Abstract

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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D. Bolle, R. Erichsen Jr. 1998-02-06. A canonical ensemble approach to graded-response perceptrons. https://doi.org/10.1103/physreve.59.3386

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