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Название: Banach Space Valued Neural Network
Автор: George A. Anastassiou
Издательство: Springer
Серия: Studies in Computational Intelligence
Год: 2023
Страниц: 429
Язык: английский
Формат: pdf (true)
Размер: 10.2 MB
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 (AI) and Machine Learning (ML).
Автор: George A. Anastassiou
Издательство: Springer
Серия: Studies in Computational Intelligence
Год: 2023
Страниц: 429
Язык: английский
Формат: pdf (true)
Размер: 10.2 MB
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 (AI) and Machine Learning (ML).