{"product_id":"discrete-mathematics-of-neural-networks-selected-topics-hardback-9780898714807","title":"Discrete Mathematics of Neural Networks; Selected Topics (Hardback) 9780898714807","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eDiscrete Mathematics of Neural Networks\u003c\/font\u003e\u003cbr\u003e\r\n\u003cfont size=\"5\"\u003eSelected Topics\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cem\u003eConsiders key aspects of the burgeoning field of artificial neural network theory.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eMartin Anthony (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780898714807, Society for Industrial and Applied Mathematics\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 1 January 1987\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e143 pages\u003cbr\u003e26.1 x 18.4 x 1.2 cm, 0.495 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eThis 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. 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.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePreface\u003cbr\u003e 1. Artificial Neural Networks\u003cbr\u003e 2. Boolean Functions\u003cbr\u003e 3. Threshold Functions\u003cbr\u003e 4. Number of Threshold Functions\u003cbr\u003e 5. Sizes of Weights for Threshold Functions\u003cbr\u003e 6. Threshold Order\u003cbr\u003e 7. Threshold Networks and Boolean Functions\u003cbr\u003e 8. Specifying Sets\u003cbr\u003e 9. Neural Network Learning\u003cbr\u003e 10. Probabilistic Learning\u003cbr\u003e 11. VC-Dimensions of Neural Networks\u003cbr\u003e 12. The Complexity of Learning\u003cbr\u003e 13. Boltzmann Machines and Combinatorial Optimization\u003cbr\u003e Bibliography\u003cbr\u003e Index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Neural networks \u0026amp; fuzzy systems [\u003ca title=\"See our other books on Neural networks \u0026amp; fuzzy systems\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Neural%20networks%20\u0026amp;%20fuzzy%20systems%20%5BUYQN%5D%22\"\u003eUYQN\u003c\/a\u003e], Discrete mathematics [\u003ca title=\"See our other books on Discrete mathematics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Discrete%20mathematics%20%5BPBD%5D%22\"\u003ePBD\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Society for Industrial and Applied Mathematics","offers":[{"title":"Brand New","offer_id":52509200679192,"sku":"9780898714807","price":62.29,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/files\/9780898714807I.jpg?v=1786497511","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/discrete-mathematics-of-neural-networks-selected-topics-hardback-9780898714807","provider":"Freshly Printed Books","version":"1.0","type":"link"}