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Multi-fidelity optimization via surrogate modelling

Forrester, Alexander I.J., Sóbester, András and Keane, Andy J. (2007) Multi-fidelity optimization via surrogate modelling. Proceedings of the Royal Society A, 463, (2088), 3251-3269. (doi:10.1098/rspa.2007.1900)

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Official URL: http://dx.doi.org/10.1098/rspa.2007.1900

Description/Abstract

This paper demonstrates the application of correlated Gaussian process based
approximations to optimization where multiple levels of analysis are available, using an
extension to the geostatistical method of co-kriging. An exchange algorithm is used to
choose which points of the search space to sample within each level of analysis. The
derivation of the co-kriging equations is presented in an intuitive manner, along with a new
variance estimator to account for varying degrees of computational ‘noise’ in the multiple
levels of analysis. A multi-fidelity wing optimization is used to demonstrate the
methodology.

Item Type:Article
ISSN:1364-5021 (print)
Uncontrolled Keywords:co-kriging, kriging, noise, subset selection, wing design
Related URLs:http://dx.doi.org/10.1098/rspa.2007.1900
Subjects:Q Science > QA Mathematics
T Technology > TA Engineering (General). Civil engineering (General)
T Technology > TL Motor vehicles. Aeronautics. Astronautics
Divisions:University Structure - Pre August 2011 > School of Engineering Sciences > Computational Engineering and Design
ePrint ID:64698
Deposited On:09 Jan 2009
Last Modified:07 Jan 2011 09:05

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