Hyperbolic sigma-pi neural network operators for compactly supported continuous functions |
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Authors: | Burkhard Lenze |
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Institution: | (1) Fachbereich Informatik, Fachhochschule Dortmund, Postfach 105018, D-44047 Dortmund, Germany |
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Abstract: | It is the aim of this contribution to continue our investigations on a special family of hyperbolic-type linear operators (here, for compactly supported continuous functions on IR
n
) which immediately can be interpreted as concrete real-time realizations of three-layer feedforward neural networks with sigma-pi units in the hidden layer. To indicate how these results are connected with density results we start with some introductory theorems on this topic. Moreover, we take a detailed look at the complexity of the generated neural networks in order to achieve global -accuracy. |
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