Skip to main content
Book cover

Intelligent Systems: Approximation by Artificial Neural Networks

  • Book
  • © 2011

Overview

  • 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 background and motivations are given per chapter
  • The exposed results are expected to find applications in many applied areas, such as neural networks, intelligent systems, complexity theory, learning theory, vision and approximation theory, etc.

Part of the book series: Intelligent Systems Reference Library (ISRL, volume 19)

This is a preview of subscription content, log in via an institution to check access.

Access this book

eBook USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (4 chapters)

Keywords

About this book

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 theory, vision and approximation theory, etc. As such this monograph is suitable for researchers, graduate students, and seminars of the above subjects, also for all science libraries.

Reviews

From the reviews:

“The present work is devoted to the study of convergence rates and upper bounds of approximation errors. … Throughout all chapters of the book the same method, the same construction is used. … The book has 107 pages and references are added to each chapter. The formal presentation by the Springer Verlag is excellent.” (Claudia Simionescu-Badea, Zentralblatt MATH, Vol. 1243, 2012)

Authors and Affiliations

  • Department of Mathematical Sciences, University of Memphis, Memphis, USA

    George A. Anastassiou

Bibliographic Information

Publish with us