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Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/3670

Title: SYSTEMS THAT CAN LEARN FROM EXAMPLES - REPLICA CALCULATION OF UNIFORM-CONVERGENCE BOUNDS FOR PERCEPTRONS
Authors: ENGEL, A
VAN DEN BROECK, Christian
Issue Date: 1993
Publisher: AMERICAN PHYSICAL SOC
Citation: PHYSICAL REVIEW LETTERS, 71(11). p. 1772-1775
Abstract: The generalization abilities of neural networks for inferring a rule on the basis of examples can be characterized by the convergence of the learning error to the generalization error with increasing size of the training set. Using the replica technique, we calculate the maximum difference between training and generalization error for the ensemble of all perceptrons trained by a teacher perceptron and the maximal generalization error for the perceptrons that have a training error equal to zero. The results axe compared with the rigorous bounds provided by the Vapnik-Chervonenkis theorem.
Notes: LIMBURGS UNIV CENTRUM,B-3590 DIEPENBEEK,BELGIUM.ENGEL, A, GEORG AUGUST UNIV,INST THEORET PHYS,D-37073 GOTTINGEN,GERMANY.
URI: http://hdl.handle.net/1942/3670
ISI #: A1993LX11900029
ISSN: 0031-9007
Type: Journal Contribution
Appears in Collections: Research publications

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