Overview
- Presents the generalization and modernization of approximation by neural network operators
- Provides applications in applied sciences, applied mathematics, and computer science and engineering
- Is suitable for researchers, graduate students, practitioners, and seminars of the above disciplines
Part of the book series: Studies in Computational Intelligence (SCI, volume 1062)
Access this book
Tax calculation will be finalised at checkout
Other ways to access
About this book
This book is about the generalization and modernization of approximation by neural network operators. Functions under approximation and the neural networks are Banach space valued. These are induced by a great variety of activation functions deriving from the arctangent, algebraic, Gudermannian, and generalized symmetric sigmoid functions. Ordinary, fractional, fuzzy, and stochastic approximations are exhibited at the univariate, fractional, and multivariate levels. Iterated-sequential approximations are also covered. The book’s results are expected to find applications in the many areas of applied mathematics, computer science and engineering, especially in artificial intelligence and machine learning. Other possible applications can be in applied sciences like statistics, economics, etc. Therefore, this book is suitable for researchers, graduate students, practitioners, and seminars of the above disciplines, also to be in all science and engineering libraries.
Similar content being viewed by others
Table of contents (13 chapters)
-
Front Matter
-
Back Matter
Authors and Affiliations
Accessibility Information
Accessibility information for this book is coming soon. We're working to make it available as quickly as possible. Thank you for your patience.
Bibliographic Information
Book Title: Banach Space Valued Neural Network
Book Subtitle: Ordinary and Fractional Approximation and Interpolation
Authors: George A. Anastassiou
Series Title: Studies in Computational Intelligence
DOI: https://doi.org/10.1007/978-3-031-16400-2
Publisher: Springer Cham
eBook Packages: Intelligent Technologies and Robotics, Intelligent Technologies and Robotics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2023
Hardcover ISBN: 978-3-031-16399-9Published: 02 October 2022
Softcover ISBN: 978-3-031-16402-6Published: 03 October 2023
eBook ISBN: 978-3-031-16400-2Published: 01 October 2022
Series ISSN: 1860-949X
Series E-ISSN: 1860-9503
Edition Number: 1
Number of Pages: XIV, 423
Number of Illustrations: 1 b/w illustrations