Canonical ensemble approach to graded-response perceptrons
Fecha
1999Abstract
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 (quadratic) error measure, corresponding to the perceptron (adaline) learning algorithm, is compared with the performance for a rigid error measure, simply counting the number of errors. Replica-symm ...
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 (quadratic) error measure, corresponding to the perceptron (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, and the analytic results are compared with numerical simulations. [S1063-651X(99)04503-1] ...
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Physical Review. E, Statistical Physics, Plasmas, Fluids and Related Interdisciplinary Topics. New York. Vol. 59, no. 3, pt. B (Mar. 1999), p. 3386-3401
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