Name: Neural Networks as Positive Linear Operators (en Inglés)
SKU: 66878006
Price: 190.74 USD
Availability: InStock
Author: Anastassiou, George A.

portada Neural Networks as Positive Linear Operators (en Inglés)

Neural Networks as Positive Linear Operators (en Inglés)

Formato

Libro Físico

Editorial

World Scientific Publishing Company

Autor

Anastassiou, George A.

Idioma

Inglés

N° páginas

420

Encuadernación

Tapa Dura

ISBN13

9789819826186

Neural Networks as Positive Linear Operators (en Inglés)

Anastassiou, George A. (Autor) · World Scientific Publishing Company · Tapa Dura

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Reseña del libro "Neural Networks as Positive Linear Operators (en Inglés)"

This research monograph presents a groundbreaking unification of neural network approximation theory through the lens of Positive Linear Operators (PLOs). For the first time in the literature, neural network operators and activated convolution operators are rigorously analyzed as PLOs -- providing a comprehensive, quantitative framework based on inequalities and the modulus of continuity.The author develops a general, elegant, and highly versatile theory that applies uniformly to a wide variety of neural and convolution operators, bridging Pure and Applied Mathematics with modern Artificial Intelligence and Machine Learning. The results open new directions for mathematical understanding of neural network approximation, with applications across computational analysis, engineering, statistics, and economics.This volume is an essential resource for mathematicians, computer scientists, and engineers seeking a rigorous analytical foundation for AI and deep learning models.