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Titlebook: Banach Space Valued Neural Network; Ordinary and Fractio George A. Anastassiou Book 2023 The Editor(s) (if applicable) and The Author(s), u

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期刊全称Banach Space Valued Neural Network
期刊简称Ordinary and Fractio
影响因子2023George A. Anastassiou
视频video
发行地址Presents the generalization and modernization of approximation by neural network operators.Provides applications in applied sciences, applied mathematics, and computer science and engineering.Is suita
学科分类Studies in Computational Intelligence
图书封面Titlebook: Banach Space Valued Neural Network; Ordinary and Fractio George A. Anastassiou Book 2023 The Editor(s) (if applicable) and The Author(s), u
影响因子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..
Pindex Book 2023
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Multivariate Fuzzy Approximation by Neural Network Operators Induced by Several Sigmoid Functions Ron type inequalities involving the multivariate fuzzy moduli of continuity of the .th order (.) . -fuzzy partial derivatives, of the involved multivariate fuzzy number valued function. The treated operators are of averaged, quasi-interpolation, Kantorovich and quadrature types at the multivariate fuzzy setting. It follows [.].
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https://doi.org/10.1007/978-3-642-68259-9ves. Our operators are defined by using a density function generated by the Gudermannian sigmoid function. The approximations are pointwise and of the uniform norm. The related Banach space valued feed-forward neural networks are with one hidden layer. It relies on [.].
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Personalvertretung in den Kommunente modulus of continuity of the engaged function or its high order Fréchet derivatives. Our multivariate operators are defined by using a multidimensional density function induced by the algebraic sigmoid function. The approximations are pointwise and uniform. The related feed-forward neural network is with one hidden layer. It follows [.].
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