On approximation by ridge functions
type: Item
instance of: scholarly article
title: On approximation by ridge functions
zbMATH Open document ID: 0895.41015
published in: Constructive Approximation
publication date: 1998-09-14T00:00:00Z
review text: Ridge functions are defined as functions of the form \(f(ax)\), where \(f:\mathbb{R}\to\mathbb{R}\), \(x\in\mathbb{R}^k\), a belongs to a given ``direction'' set \(A\subset R^k\) and \(ax\) stands for the inner product. Such functions arise in connection with computerized tomography, neural networks, and other areas of applied mathematics. The author studies some aspects of approximation by ridge functions, in particular the fundamentality of these functions for variable direction sets and the rate of approximation by ridge functions.
Mathematics Subject Classification ID: 41A45
Mathematics Subject Classification ID: 41A63
zbMATH DE Number: 1129644
zbMATH Keywords: ridge functions
author: András Kroó
reviewed by: Ioan Raşa
MaRDI profile type: Publication
full work available at URL: s003659900053
OpenAlex ID: W2109285179
DOI: 10.1007/S003659900053
description: scientific article; zbMATH DE number 1129644