An adaptive markov Chain monte carlo method for Bayesian finite element model updating

I. Boulkaibet, T. Marwala, M. I. Friswell, S. Adhikari

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

3 Citations (Scopus)

Abstract

In this paper, an adaptive Markov Chain Monte Carlo (MCMC) approach for Bayesian finite element model updating is presented. This approach is known as the Adaptive Hamiltonian Monte Carlo (AHMC) approach. The convergence rate of the Hamiltonian/Hybrid Monte Carlo (HMC) algorithm is high due to its trajectory which is guided by the derivative of the posterior probability distribution function. This can lead towards high probability areas in a reasonable period of time. However, the HMC performance decreases when sampling from posterior functions of high dimension and when there are strong correlations between the uncertain parameters. The AHMC approach, a locally adaptive version of the HMC approach, allows efficient sampling from complex posterior distribution functions and in high dimensions. The efficiency and accuracy of the AHMC method are investigated by updating a real structure.

Original languageEnglish
Title of host publicationSpecial Topics in Structural Dynamics - Proceedings of the 34th IMAC, A Conference and Exposition on Structural Dynamics 2016
EditorsPablo A. Tarazaga, Paolo Castellini, Dario di Miao
PublisherSpringer New York LLC
Pages55-65
Number of pages11
ISBN (Print)9783319299099
DOIs
Publication statusPublished - 2016
Event34th IMAC, Conference and Exposition on Structural Dynamics, 2016 - Orlando, United States
Duration: 25 Jan 201628 Jan 2016

Publication series

NameConference Proceedings of the Society for Experimental Mechanics Series
Volume6
ISSN (Print)2191-5644
ISSN (Electronic)2191-5652

Conference

Conference34th IMAC, Conference and Exposition on Structural Dynamics, 2016
Country/TerritoryUnited States
CityOrlando
Period25/01/1628/01/16

Keywords

  • Adaptive
  • Bayesian
  • Finite element model updating
  • Hybrid Monte Carlo
  • Markov Chain Monte Carlo

ASJC Scopus subject areas

  • General Engineering
  • Computational Mechanics
  • Mechanical Engineering

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