Banach space valued neural network : ordinary and fractional approximation and interpolation / George A. Anastassiou.
Anastassiou, George A., 1952- author.
2023
QA76.87
Available Online

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Title Banach space valued neural network : ordinary and fractional approximation and interpolation / George A. Anastassiou.
Author Anastassiou, George A., 1952- author.
ISBN 9783031164002 (electronic bk.)
3031164008 (electronic bk.)
9783031163999 (print)
3031163990
DOI https://doi.org/10.1007/978-3-031-16400-2
Published Cham, Switzerland : Springer, 2023.
Language English
Description 1 online resource (xiv, 423 pages) : illustrations.
Item Number 10.1007/978-3-031-16400-2 doi
Call Number QA76.87
Dewey Decimal Classification 006.3/2
Summary 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.
Bibliography, etc. Note Includes bibliographical references.
Access Note Access limited to authorized users.
Source of Description Online resource; title from PDF title page (SpringerLink, viewed October 5, 2022).
Series Studies in computational intelligence ; v. 1062. 1860-9503
Available in Other Form Print version: 9783031163999
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Algebraic function induced Banach space valued ordinary and fractional neural network approximations
Gudermannian function induced Banach space valued ordinary and fractional neural network approximations
Generalized symmetrical sigmoid function induced Banach space valued ordinary and fractional neural network approximations
Abstract multivariate algebraic function induced neural network approximations
General multivariate arctangent function induced neural network approximations
Abstract multivariate Gudermannian function induced neural network approximations
Generalized symmetrical sigmoid function induced neural network multivariate approximation
Quantitative Approximation by Kantorovich-Choquet quasi-interpolation neural network operators revisited
Quantitative Approximation by Kantorovich-Shilkret quasi-interpolation neural network operators revisited
Voronsovkaya Univariate and Multivariate asymptotic expansions for sigmoid functions induced quasi-interpolation neural network operators revisited
Univariate Fuzzy Fractional various sigmoid function activated neural network approximations revisited
Multivariate Fuzzy Approximation by Neural Network Operators induced by several sigmoid functions revisited
Multivariate Fuzzy-Random and stochastic various activation functions activated Neural Network Approximations.

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