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Banach space valued neural network =...

Anastassiou, George A.

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Banach space valued neural network = ordinary and fractional approximation and interpolation /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Banach space valued neural network/ by George A. Anastassiou.
其他題名:	ordinary and fractional approximation and interpolation /
作者:	Anastassiou, George A.
出版者:	Cham :Springer International Publishing : : 2023.,
面頁冊數:	xiv, 423 p. :ill., digital ;24 cm.
內容註:	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.
Contained By:	Springer Nature eBook
標題:	Neural networks (Computer science) -
電子資源:	https://doi.org/10.1007/978-3-031-16400-2
ISBN:	9783031164002

Banach space valued neural network = ordinary and fractional approximation and interpolation /
Anastassiou, George A.

Banach space valued neural networkordinary and fractional approximation and interpolation /[electronic resource] :by George A. Anastassiou. - Cham :Springer International Publishing :2023. - xiv, 423 p. :ill., digital ;24 cm. - Studies in computational intelligence,v. 10621860-9503 ;. - Studies in computational intelligence ;v. 1062..

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.

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.

ISBN: 9783031164002

Standard No.: 10.1007/978-3-031-16400-2doiSubjects--Topical Terms:

532070
Neural networks (Computer science)

LC Class. No.: QA76.87

Dewey Class. No.: 006.32

Banach space valued neural network = ordinary and fractional approximation and interpolation /
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520 $a 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.
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