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Artificial Neural Networks:A useful book in this field which uses mathematics linking combinatorics is: Discrete Mathematics of Neural Networks- Selected Topics

Martin AntonySIAM, Society for Industrial and Applied MathematicsPhiladelphia2001i-xxxiv + 316 pp.ISBN 0-89871-463-Xhardcover, USD $70.00 (Reduced to $49 for SIAM members)

Keywords: Publication, Cybernetics, Neural Nets

This book links mathematics to the studies in artificial neural networks. How else can you effectively research them, although many scientists attempt to do so by inventing their own symbolic notations. The book, we are told, provides a sample of the very large, active and expanding field of artificial neural network theory. The publishers say that:

It considers select areas of discrete mathematics linking combinatorics and the theory of the simplest types of artificial neural networks.

The author emphasises that an understanding of the theories concerning what such systems can and cannot do is essential. The book discusses some interesting links between special types of Boolean functions and the simplest types of neural networks. Results are presented with accessible proofs and the author looks at some more recent perspectives.

The book appears in the SIAM Monographs on Discrete Mathematics and Applications (No. 8). SIAM can be contacted by email: service@siam.org

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