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Regularization Theory and Neural Networks Architectures

by: Federico Girosi, Michael Jones, Tomaso Poggio
Neural Computation, Vol. 7, No. 2. (1995), pp. 219-269.


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We had previously shown that regularization principles lead to approximation schemes which are equivalent to networks with one layer of hidden units, called Regularization Networks. In particular, standard smoothness functionals lead to a subclass of regularization networks, the well known Radial Basis Functions approximation schemes. This paper shows that regularization networks encompass a much broader range of approximation schemes, including many of the popular general additive models and...


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