
8
Chapter 1
mathematical discussion of these properties is given in [Hornik, 1991]
and [Blum and Li, 1991]. See page 85 of this book for more details.
The probabilistic neural network also has a solid theoretical
basis.
Under very general conditions, its ability to classify is asymp-
totically Bayes-optimal. See [Specht, 1990] and page 201 of this book
for details.
In summary, many artificial neural networks possess both
substantial theoretical foundations and practical utility. Any problem
that can be solved with traditional modeling or statistical methods can
most likely be solved more effectively with a neural network. It is
hoped that th ...