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Zbl 0657.68085
Broomhead, D.S.; Lowe, David
Multivariable functional interpolation and adaptive networks. (English)
[J] Complex Syst. 2, No.3, 321-355 (1988). ISSN 0891-2513

The relationship between ``learning'' in adaptive layered networks and the fitting of data with high dimensional surfaces is discussed. This leads naturally to a picture of ``generalization'' in terms of interpolation between known data points and suggests a rational approach to the theory of such networks. A class of adaptive networks is identified which makes the interpolation scheme explicit. This class has the property that learnig is equivalent to the solution of a set of linear equations. These networks thus represent nonlinear relationships while having a guaranteed learning rule.

MSC 2000:: *68T05 Learning and adaptive systems
41A05 Interpolation

Keywords: adaptive networks; interpolation scheme; learning

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Zentralblatt MATH Berlin [Germany]