This completed downloadable of Intelligent Systems II: Complete Approximation by Neural Network Operators 1st Edition George A. Anastassiou
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Product details:
- ISBN 10: 3319205056
- ISBN 13: 9783319205052
- Author: George A. Anastassiou
This monograph is the continuation and completion of the monograph, “Intelligent Systems: Approximation by Artificial Neural Networks” written by the same author and published 2011 by Springer. The book you hold in hand presents the complete recent and original work of the author in approximation by neural networks. Chapters are written in a self-contained style and can be read independently. 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 book’s results are expected to find applications in many areas of applied mathematics, computer science and engineering. As such this monograph is suitable for researchers, graduate students, and seminars of the above subjects, also for all science and engineering libraries.
Table of contents:
1. Rate of Convergence of Basic Neural Network Operators to the Unit-Univariate Case
2. Rate of Convergence of Basic Multivariate Neural Network Operators to the Unit
3. Fractional Neural Network Operators Approximation
4. Fractional Approximation Using Cardaliaguet-Euvrard and Squashing Neural Networks
5. Fractional Voronovskaya Type Asymptotic Expansions for Quasi-interpolation Neural Networks
6. Voronovskaya Type Asymptotic Expansions for Multivariate Quasi-interpolation Neural Networks
7. Fractional Approximation by Normalized Bell and Squashing Type Neural Networks
8. Fractional Voronovskaya Type Asymptotic Expansions for Bell and Squashing Type Neural Networks
9. Multivariate Voronovskaya Type Asymptotic Expansions for Normalized Bell and Squashing Type Neural Networks
10. Multivariate Fuzzy-Random Normalized Neural Network Approximation
11. Fuzzy Fractional Approximations by Fuzzy Normalized Bell and Squashing Type Neural Networks
12. Fuzzy Fractional Neural Network Approximation Using Fuzzy Quasi-interpolation Operators
13. Higher Order Multivariate Fuzzy Approximation Using Basic Neural Network Operators
14. High Order Multivariate Fuzzy Approximation Using Quasi-interpolation Neural Networks
15. Multivariate Fuzzy-Random Quasi-interpolation Neural Networks Approximation
16. Approximation by Kantorovich and Quadrature Type Quasi-interpolation Neural Networks
17. Univariate Error Function Based Neural Network Approximations
18. Multivariate Error Function Based Neural Network Operators Approximation
19. Voronovskaya Type Asymptotic Expansions for Error Function Based Quasi-interpolation Neural Networks
20. Fuzzy Fractional Error Function Relied Neural Network Approximations
21. High Degree Multivariate Fuzzy Approximation by Neural Network Operators Using the Error Function
22. Multivariate Fuzzy-Random Error Function Relied Neural Network Approximations
23. Approximation by Perturbed Neural Networks
24. Approximations by Multivariate Perturbed Neural Networks
25. Voronovskaya Type Asymptotic Expansions for Perturbed Neural Networks
26. Approximation Using Fuzzy Perturbed Neural Networks
27. Multivariate Fuzzy Perturbed Neural Network Approximations
28. Multivariate Fuzzy-Random Perturbed Neural Network Approximations
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