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On the training of a kolmogorov network

: Köppen, M.

Dorronsoro, J.R.:
ICANN 2002. International Conference on Artificial Neural Networks. Proceedings : Madrid, Spain, August 28 - 30, 2002
Berlin: Springer, 2002 (Lecture Notes in Computer Science 2415)
ISBN: 3-540-44074-7
ISSN: 0302-9743
International Conference on Artificial Neural Networks (ICANN) <12, 2002, Madrid>
Conference Paper
Fraunhofer IPK ()

The Kolmogorov theorem gives that the representation of continuous and bounded real-valued functions of n variables by the superposition of functions of one variable and addition is always possible. Based on the fact that each proof of the Kolmogorov theorem or its variants was a constructive one so far, there is the principal possibility to attain such a representation. This paper reviews a procedure for obtaining the Kolmogorov representation of a function, based on an approach given by David Sprecher. The construction is considered in more detail for an image function.