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Duality Between Learning Machines: A Bridge Between Supervised and Unsupervised Learning

by: Jean P Nadal, N Parga
Neural Computation, Vol. 6, No. 3. (1994), pp. 491-508.


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We exhibit a duality between two perceptrons which allows us to compare the theoretical analysis of supervised and unsupervised learning tasks. The first perceptron has one output and is asked to learn a classification of p patterns. The second (dual) perceptron has p outputs and is asked to transmit as much information as possible on a distribution of inputs. We show in particular that the maximum information that can be stored in the couplings for the supervised learning task is equal to the...


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