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From: Dean_Abbott@partech.com (dean abbott)
Subject: Re: Polynomial networks
Organization: pgsc
Date: Wed, 22 Feb 1995 01:29:47 GMT
Message-ID: <Dean_Abbott-2102951737010001@mkppp.cts.com>
References: <3hfvbo$s81@decsys.vsb.cz> <tpetty-170295150839@mac13.vas.bdm.com>
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In article <tpetty-170295150839@mac13.vas.bdm.com>, tpetty@vas.bdm.com
(Thomas Petty) wrote:

> In article <3hfvbo$s81@decsys.vsb.cz>, Radim Belohlavek wrote:
> 
> > I am looking for some references to polynomial networks.
> > Is there any book, anything on Internet?
> > 
> >                                       Thanks
> > 
> > Radim Belohlavek
> > radim.belohlavek@vsb.cz


Some others, more on the general description side and less on the
application side:

1. a fairly straightforward discussion of polynomial networks in the context of 
writing software.  Comparisons to Backprop are give.

Cellucci, R.L. and P. Hess, "Techniques for Developing and Applying Polynomial
Network Synthesis Software", 1990 Proceedings of the 22nd Symposium on the
Interface.

---------------

2.  An excellent overview of statistical methods, with some neural networks
and polynomial neural network history, a mathematical framework from which
many statistical modeling methods can be derived (including projection
pursuit, neural networks, additive models, ...).  Also talks about
complexity regularization.

Barron, A.R., and R.L. Barron, "Statistical Learning Networks: A Unifying
View", 1988 Proceedings fo the 20th Symposium on the Interface.

-------------

3.  A recent version of (2), this incorporates classification decision boundary
modeling with function estimation into a single framework.  Also covered are
objective functions and learning algorithms.

Ward, D.G., "Generalized Networks for Complex Function Modeling",
Proceedings of the 1994 IEEE International Conference on Systems, Man, and
Cybernetics, San Antonio, TX, Oct. 2-5, 1994.

---------------

and of course, the more popular book

Self-Organizing Methods in Modeling, S.J. Farlow (Ed.), Marcel Dekker, New
York, 
1984.


Many of these, with those already posted, reference each other.

Hope this helps too.

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