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Intelligent Systems
George A. Anastassiou
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Description for Intelligent Systems
hardcover. This brief monograph is the first to deal exclusively with the quantitative approximation by artificial neural networks to the identity-unit operator. Each chapter is written in a self-contained style, with all necessary background and motivations included. Series: Intelligent Systems Reference Library. Num Pages: 116 pages, biography. BIC Classification: PBF; PBW; UYQN. Category: (P) Professional & Vocational. Dimension: 234 x 156 x 7. Weight in Grams: 760.
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 ... Read more
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 ... Read more
Product Details
Format
Hardback
Publication date
2011
Publisher
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Germany
Number of pages
116
Condition
New
Series
Intelligent Systems Reference Library
Number of Pages
108
Place of Publication
Berlin, Germany
ISBN
9783642214301
SKU
V9783642214301
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Intelligent Systems
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, ... Read more