Comparative Study on Parameter Estimation Methods for Multi-fidelity Co-kriging Modeling

Yixin Liu, Shishi Chen, Fenfen Xiong*

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

1 Citation (Scopus)

Abstract

As a well-known multi-fidelity modeling technique, the co-kriging method combining the data from two or more models with different levels of fidelity to efficiently construct a metamodel has gained increasing attention to save the computational cost. Although the existing multi-fidelity co-kriging modeling approaches utilize the data from all models for response prediction, most of those methods only utilize the correlation of the data from two models with adjacent fidelities or from the same model in estimating the unknown hyper-parameters for model construction. Therefore, an enhanced co-kriging method utilizing the covariance of all observed data is developed in this paper to improve the prediction accuracy, in which the hyper-parameters are estimated altogether by maximizing a unified likelihood function. The results from the comparative studies show that the proposed co-kriging method is evidently more accurate than some existing popular approaches, demonstrating its effectiveness and relative merits.

Original languageEnglish
Title of host publicationAdvances in Mechanical Design - Proceedings of the 2017 International Conference on Mechanical Design, ICMD 2017
EditorsChangle Xiang, Jianrong Tan, Feng Gao
PublisherSpringer Netherlands
Pages815-836
Number of pages22
ISBN (Print)9789811065521
DOIs
Publication statusPublished - 2018
EventInternational Conference on Mechanical Design, ICMD 2017 - Beijing, China
Duration: 13 Oct 201715 Oct 2017

Publication series

NameMechanisms and Machine Science
Volume55
ISSN (Print)2211-0984
ISSN (Electronic)2211-0992

Conference

ConferenceInternational Conference on Mechanical Design, ICMD 2017
Country/TerritoryChina
CityBeijing
Period13/10/1715/10/17

Keywords

  • Co-kriging
  • Covariance
  • Gaussian process
  • Hyper-parameter estimation
  • Multi-fidelity modeling

Fingerprint

Dive into the research topics of 'Comparative Study on Parameter Estimation Methods for Multi-fidelity Co-kriging Modeling'. Together they form a unique fingerprint.

Cite this