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anthony m discrete mathematics neural networks selecteics 2001

Type:: E-books
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Uploaded On:: Dec. 13, 2022, 5:14 p.m.
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Textbook in PDF and DJVU formats This short book considers selected topics involving the interplay between certain areas of discrete mathematics and the simplest types of artificial neural networks. Graph theory, some partially ordered set theory, computational complexity, and discrete probability theory are among the mathematical topics involved. The aim of this book is to give those interested in discrete mathematics a taste of the large, active, and expanding field of artificial neural network theory. The book might be best regarded as a series of extended essays on topics involving neural networks, discrete mathematics, and Boolean functions. A book of this length can only touch on some of the very many interesting issues involved, and those that are considered can all be explored much more deeply. Inevitably, therefore, the book focuses—and only briefly—on topics which have been of most interest to me, and I apologize if the selection appears idiosyncratic. Pointers are given in each chapter to further reading on the given topics and on related topics, and the reader is encouraged to pursue these leads. Artificial Neural Networks Boolean Functions Threshold Functions Number of Threshold Functions Sizes of Weights for Threshold Functions Threshold Order Threshold Networks and Boolean Functions Specifying Sets Neural Network Learning Probabilistic Learning VC-dimensions of Neural Networks The Complexity of Learning Boltzmann Machines and Combinatorial Optimization

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Anthony M. Discrete Mathematics of Neural Networks. Selected Topics 2001.djvu 1.1 MB
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anthony m discrete mathematics neural networks selecteics 2001

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