A canonical ensemble approach to graded-response perceptrons
Disordered Systems and Neural Networks
2009-10-31 v1 Statistical Mechanics
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.
Keywords
Cite
@article{arxiv.cond-mat/9802075,
title = {A canonical ensemble approach to graded-response perceptrons},
author = {D. Bolle and R. Erichsen},
journal= {arXiv preprint arXiv:cond-mat/9802075},
year = {2009}
}
Comments
26 pages, 10 ps figures