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Summary: Technische Universit¨at HamburgHarburg
Technische Informatik I
Upper Bounds for the Capacity of Structured Neural
Network Architectures
Interner Bericht 6/95
Peter Rieper y , Sabine Kr¨oner z; 1 and Reinhard Moratz zz
y
FB Mathematik, Universit¨at Hamburg, Bundesstr. 55, D20146 Hamburg
z
Technische Informatik I, TU HamburgHarburg, D21071 Hamburg
zz
AG Angewandte Informatik, Universit¨at Bielefeld, Postfach 100131, D33501 Bielefeld
July 1995
1 Corresponding author, email: kroener@tuharburg.d400.de
Abstract
The capacity or VapnikChervonenkis dimension of a feedforward neural architecture is the
maximum number of input patterns that can be mapped correctly to fixed arbitrary outputs.
Moreover it is correlated with the generalization ability of the underlying network architecture,
both important measures for the network design in special applications. So far it is known for
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