F eb 1 99 8 A canonical ensemble approach to graded - response perceptrons
نویسندگان
چکیده
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. Short title: Graded perceptrons with soft error measures.
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