ENGLISH

Discrete Mathematics of Neural Networks: Selected Topics

By Martin Anthony

Book information

Publisher
Society for Industrial Mathematics
Year
1987
ISBN
9780898714807, 089871480X
LCC
QA76.87 .A58 2001
Open Library ID
OL17151377M
Language
english
Format
PDF
Filesize
14 MB (14214179 bytes)
Series
Monographs on Discrete Mathematics and Applications
Pages
143\143
Scanned
no
Time added
2010-02-18 13:16:04

Description

This concise, readable book provides a sampling of the very large, active, and expanding field of artificial neural network theory. It considers select areas of discrete mathematics linking combinatorics and the theory of the simplest types of artificial neural networks. Neural networks have emerged as a key technology in many fields of application, and an understanding of the theories concerning what such systems can and cannot do is essential. The author discusses interesting connections between special types of Boolean functions and the simplest types of neural networks. Some classical results are presented with accessible proofs, together with some more recent perspectives, such as those obtained by considering decision lists. In addition, probabilistic models of neural network learning are discussed. Graph theory, some partially ordered set theory, computational complexity, and discrete probability are among the mathematical topics involved. Pointers to further reading and an extensive bibliography make this book a good starting point for research in discrete mathematics and neural networks.

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