Banach Space Valued Neural Network Ordinary and Fractional Approximation and Interpolation 1st Edition by George Anastassiou 3031163990 9783031163999

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ISBN 10: 3031163990

ISBN 13: 9783031163999

Author: George A. Anastassiou

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.

Banach Space Valued Neural Network Ordinary and Fractional Approximation and Interpolation 1st Table of contents:

1. Algebraic Function Induced Banach Space Valued Ordinary and Fractional Neural Network Approximations

2. Gudermannian Function Induced Banach Space Valued Ordinary and Fractional Neural Network Approximations

3. Generalized Symmetrical Sigmoid Function Induced Banach Space Valued Ordinary and Fractional Neural Network Approximations

4. Abstract Multivariate Algebraic Function Induced Neural Network Approximations

5. General Multivariate Arctangent Function Induced Neural Network Approximations

6. Abstract Multivariate Gudermannian Function Induced Neural Network Approximations

7. Generalized Symmetrical Sigmoid Function Induced Neural Network Multivariate Approximation

8. Quantitative Approximation by Kantorovich-Choquet Quasi-Interpolation Neural Network Operators Revisited

9. Quantitative Approximation by Kantorovich-Shilkret Quasi-interpolation Neural Network Operators Revisited

10. Voronouskaya Univariate and Multivariate Asymptotic Expansions for Sigmoid Functions Induced Quasi-interpolation Neural Network Operators Revisited

11. Univariate Fuzzy Fractional Various Sigmoid Function Activated Neural Network Approximations Revisited

12. Multivariate Fuzzy Approximation by Neural Network Operators Induced by Several Sigmoid Functions Revisited

13. Multivariate Fuzzy-Random and Stochastic Various Activation Functions Activated Neural Networ

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