A taxonomy of global optimization methods based on response surfaces
type: Item
instance of: scholarly article
title: A taxonomy of global optimization methods based on response surfaces
zbMATH Open document ID: 1172.90492
DOI: 10.1023/A:1012771025575
author: Donald R. Jones
published in: Journal of Global Optimization
publication date: 2002-12-15T00:00:00Z
review text: The author presents a taxonomy of the various approaches for using response surfaces for global optimization. A distinction is made according as whether these approaches are non-interpolating or interpolating. The author demonstrates the unreliability of approaches using non-interpolating surfaces by showing that the usual methods like fitting quadric surfaces may not sufficiently capture the shape of the function. From among the basis-function methods, a distinction is made according as whether the basis-functions are fixed or the basis-functions have parameters that are tuned (kriging). The latter method enables one to make a statistical interpretation thereby allowing the user to construct an estimate of the potential error in the interpolator. The paper presents in all seven methods and brings out the importance of kriging.
Mathematics Subject Classification ID: 90C30
Mathematics Subject Classification ID: 65K10
zbMATH DE Number: 1845262
zbMATH Keywords: spline
zbMATH Keywords: kriging
zbMATH Keywords: interpolating surface
describes a project that uses: EGO
MaRDI profile type: Publication
full work available at URL: a:1012771025575
OpenAlex ID: W2151238122
description: scientific article; zbMATH DE number 1845262