书目名称 | Intelligent Systems: Approximation by Artificial Neural Networks |
编辑 | George A. Anastassiou |
视频video | |
概述 | First book dealing exclusively with the quantitative approximation by artificial neural networks to the identity-unit operator.Each chapter is written in a self-contained style, all necessary backgrou |
丛书名称 | Intelligent Systems Reference Library |
图书封面 |  |
描述 | This brief monograph is the first one to deal exclusively with the quantitative approximation by artificial neural networks to the identity-unit operator. Here we study with rates the approximation properties of the "right" sigmoidal and hyperbolic tangent artificial neural network positive linear operators. In particular we study the degree of approximation of these operators to the unit operator in the univariate and multivariate cases over bounded or unbounded domains. This is given via inequalities and with the use of modulus of continuity of the involved function or its higher order derivative. We examine the real and complex cases.. For the convenience of the reader, the chapters of this book are written in a self-contained style..This treatise relies on author‘s last two years of related research work..Advanced courses and seminars can be taught out of this brief book. All necessary background and motivations are given per chapter. A related list of references is given also per chapter. The exposed results are expected to find applications in many areas of computer science and applied mathematics, such as neural networks, intelligent systems, complexity theory, learning theo |
出版日期 | Book 2011 |
关键词 | Computational Intelligence; Intelligent Systems; Neural Networks |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-642-21431-8 |
isbn_softcover | 978-3-642-26855-7 |
isbn_ebook | 978-3-642-21431-8Series ISSN 1868-4394 Series E-ISSN 1868-4408 |
issn_series | 1868-4394 |
copyright | Springer Berlin Heidelberg 2011 |