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From: phbd641@ccwf.cc.utexas.edu (David Chao)
Newsgroups: comp.ai.neural-nets
Subject: Searching for 13th Hilbert Problem article
Message-ID: <39365@ut-emx.uucp>
Date: 8 Nov 90 15:24:30 GMT
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Reply-To: phbd641@ccwf.cc.utexas.edu (David Chao)
Organization: The University of Texas at Austin
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In Richard Lippmann's review article in IEEE ASSP (4,April 1987) magazine,
he makes reference to "Mathematical developments Arising from Hilbert 
Problems," American Mathematical Society (ed. Browder), 1976.

In the article on Hilbert's 13th problem, reference is made to 
Kolmogorov's proof concerning the approximation of any continous function of
N variables using only linear summations and nonlinear but
continously increasing functions of only one variable. (shades of
typical backprop n.n.'s with logistic activation functions!).

In any case, I have this book on recall at my own library and doubt
whether it will arrive in time for a seminar I'm giving next 
Wednesday.   If anyone has any information - in particular
about Kolmogorov's theorem - I'd appreciate an email response.

Thanks!

David Chao
Department of Physics
University of Texas at Austin
dchao@ccwf.cc.utexas.edu
  or
phbd641@ccwf.cc.utexas.edu
(512) 471-4039