國立高雄大學圖資館 |

Language: English

Back

Banach space valued neural networkordinary and fractional approximation and interpolation /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Banach space valued neural networkby George A. Anastassiou.
Reminder of title:	ordinary and fractional approximation and interpolation /
Author:	Anastassiou, George A.
Published:	Cham :Springer International Publishing :2023.
Description:	xiv, 423 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Neural networks (Computer science)
Online resource:	https://doi.org/10.1007/978-3-031-16400-2
ISBN:	9783031164002$q(electronic bk.)

Banach space valued neural networkordinary 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. 216..

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$q(electronic bk.)

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

181982
Neural networks (Computer science)

LC Class. No.: QA76.87

Dewey Class. No.: 006.32

Banach space valued neural networkordinary and fractional approximation and interpolation /
LDR:03457nmm a2200337 a 4500 001 645313
003 DE-He213
005 20221001084735.0
006 m d
007 cr nn 008maaau
008 231208s2023 sz s 0 eng d
020 $a 9783031164002$q(electronic bk.)
020 $a 9783031163999$q(paper)
024 7 $a 10.1007/978-3-031-16400-2 $2 doi
035 $a 978-3-031-16400-2
040 $a GP $c GP
041 0 $a eng
050 4 $a QA76.87
072 7 $a UYQ $2 bicssc
072 7 $a TEC009000 $2 bisacsh
072 7 $a UYQ $2 thema
082 0 4 $a 006.32 $2 23
090 $a QA76.87 $b .A534 2023
100 1 $a Anastassiou, George A. $3 281040
245 1 0 $a Banach space valued neural network $h [electronic resource] : $b ordinary and fractional approximation and interpolation / $c by George A. Anastassiou.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2023.
300 $a xiv, 423 p. : $b ill., digital ; $c 24 cm.
490 1 $a Studies in computational intelligence, $x 1860-9503 ; $v v. 1062
505 0 $a 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.
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.
650 0 $a Neural networks (Computer science) $3 181982
650 0 $a Banach spaces. $3 199048
650 1 4 $a Computational Intelligence. $3 338479
650 2 4 $a Artificial Intelligence. $3 212515
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer Nature eBook
830 0 $a Studies in computational intelligence ; $v v. 216. $3 380871
856 4 0 $u https://doi.org/10.1007/978-3-031-16400-2
950 $a Intelligent Technologies and Robotics (SpringerNature-42732)