In his seminal paper Cover used geometrical arguments to compute the probability of separating two sets of patterns with a perceptron. We extend these ideas to feedforward networks with hidden layers. There are intrinsic limitations to the number of patterns that a net of this kind can separate and we find quantitative bounds valid far any net with d input and h hidden neurons.
Properties of Feed-Forward Neural Networks / Budinich, Marco; Milotti, Edoardo. - In: JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL. - ISSN 1751-8113. - STAMPA. - 25:(1992), pp. 1903-1914. [10.1088/0305-4470/25/7/029]
Properties of Feed-Forward Neural Networks
BUDINICH, MARCO;MILOTTI, EDOARDO
1992-01-01
Abstract
In his seminal paper Cover used geometrical arguments to compute the probability of separating two sets of patterns with a perceptron. We extend these ideas to feedforward networks with hidden layers. There are intrinsic limitations to the number of patterns that a net of this kind can separate and we find quantitative bounds valid far any net with d input and h hidden neurons.File in questo prodotto:
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