Connectionists: Experimental application of category theory to neural networks

[mjhealy@ece.unm.edu]

Tom Caudell and I have a paper in the Proceedings of the International
Joint Conference on Neural Networks (IJCNN05), Montreal, 2005, published
by the IEEE Press.  The subject is an experiment demonstrating improved
performance with a modification to a standard artificial neural
architecture based on our category-theoretic semantic model.  This was
joint research with Sandia National Laboratories, and the experimental
application concerns the generation of multispectral images from satellite
data.  We believe this is the first application of category theory
directly in an engineering application (while at Boeing, another colleague
and I had demonstrated its application to the synthesis of engineering
software).  Another feature of it is that it relates an abstract,
categorical structure to a neural network parameter; this is not dealt
with in detail in the Proceedings paper but will be in a full paper to be
submitted.

Tom Caudell's web page has a link to the Proceedings paper at

                http://www.eece.unm.edu/faculty/tpc/

The semantic theory is described in our Technical Report EECE-TR-04-020 on
the UNM Dspace Repository, at

                https://repository.unm.edu/handle/1928/33

Regards,
Mike Healy
mjhealy at ece.unm.edu