Approximation by ridge function fields over compact sets

DOI10.1016/j.jat.2004.06.007zbMath1057.41023OpenAlexW1977014617MaRDI QIDQ1885448

Bruno Pelletier

Publication date: 28 October 2004

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2004.06.007

zbMATH Keywords

function fielddensityridge approximation

Mathematics Subject Classification ID

Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) General harmonic expansions, frames (42C15) Approximation by other special function classes (41A30) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)

Related Items (4)

On the error of approximation by ridge functions with two fixed directions ⋮ Characterization of an extremal sum of ridge functions ⋮ Consistency of Ridge Function Fields for Varying Nonparametric Regression ⋮ A note on the equioscillation theorem for best ridge function approximation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Uniform approximation by neural networks
• Identifying linear combinations of ridge functions
• Generalization bounds for function approximation from scattered noisy data
• On best approximation by ridge functions
• Fundamentality of ridge functions
• Multilayer feedforward networks are universal approximators
• Random approximants and neural networks
• Singularities of finite scaling functions
• Universal approximation bounds for superpositions of a sigmoidal function
• Approximation by superpositions of a sigmoidal function
• Error bounds for approximation with neural networks

This page was built for publication: Approximation by ridge function fields over compact sets