A Group of Deterioration Curves of Bridges Estimated by Extended em Algorithm

I. Yoshida; Y. Otake; Y. Honjo

doi:10.1061/9780784413609.042

A Group of Deterioration Curves of Bridges Estimated by Extended em Algorithm

I. Yoshida, Y. Otake, Y. Honjo

ENG - Civil and Environmental Engineering

Tokyo City University

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

This study proposes a method to separate data into several groups and perform regression analysis for each group at the same time statistically by using EM (Expectation and Maximization) algorithm or its extended formulation to nonlinear regression problem. Using the proposed method, a group of deterioration curves is estimated based on a health index database of 341 bridges by visual inspection in Gifu prefecture, Japan. The ordinary EM algorithm can only treat linear regression, so the algorithm is extended to nonlinear regression problems. In our proposed method, the hidden parameter and standard deviation of error are estimated following the ordinary EM algorithm, whereas nonlinear coefficients are estimated by using Particle Swarm Optimization-one of the global optimization methods. Deterioration curves of the four bridge groups are estimated with the inspection database by the proposed algorithm.

Original language	English
Title of host publication	Vulnerability, Uncertainty, and Risk
Subtitle of host publication	Quantification, Mitigation, and Management - Proceedings of the 2nd International Conference on Vulnerability and Risk Analysis and Management, ICVRAM 2014 and the 6th International Symposium on Uncertainty Modeling and Analysis, ISUMA 2014
Editors	Jim W. Hall, Siu-Kui Au, Michael Beer
Publisher	American Society of Civil Engineers (ASCE)
Pages	409-418
Number of pages	10
ISBN (Electronic)	9780784413609
DOIs	https://doi.org/10.1061/9780784413609.042
Publication status	Published - 2014
Event	2nd International Conference on Vulnerability and Risk Analysis and Management, ICVRAM 2014 and the 6th International Symposium on Uncertainty Modeling and Analysis, ISUMA 2014 - Liverpool, United Kingdom Duration: 2014 Jul 13 → 2014 Jul 16

Publication series

Name	Vulnerability, Uncertainty, and Risk: Quantification, Mitigation, and Management - Proceedings of the 2nd International Conference on Vulnerability and Risk Analysis and Management, ICVRAM 2014 and the 6th International Symposium on Uncertainty Modeling and Analysis, ISUMA 2014

Conference

Conference	2nd International Conference on Vulnerability and Risk Analysis and Management, ICVRAM 2014 and the 6th International Symposium on Uncertainty Modeling and Analysis, ISUMA 2014
Country/Territory	United Kingdom
City	Liverpool
Period	14/7/13 → 14/7/16

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10.1061/9780784413609.042

Cite this

Yoshida, I., Otake, Y., & Honjo, Y. (2014). A Group of Deterioration Curves of Bridges Estimated by Extended em Algorithm. In J. W. Hall, S-K. Au, & M. Beer (Eds.), Vulnerability, Uncertainty, and Risk: Quantification, Mitigation, and Management - Proceedings of the 2nd International Conference on Vulnerability and Risk Analysis and Management, ICVRAM 2014 and the 6th International Symposium on Uncertainty Modeling and Analysis, ISUMA 2014 (pp. 409-418). (Vulnerability, Uncertainty, and Risk: Quantification, Mitigation, and Management - Proceedings of the 2nd International Conference on Vulnerability and Risk Analysis and Management, ICVRAM 2014 and the 6th International Symposium on Uncertainty Modeling and Analysis, ISUMA 2014). American Society of Civil Engineers (ASCE). https://doi.org/10.1061/9780784413609.042

Yoshida, I. ; Otake, Y. ; Honjo, Y. / A Group of Deterioration Curves of Bridges Estimated by Extended em Algorithm. Vulnerability, Uncertainty, and Risk: Quantification, Mitigation, and Management - Proceedings of the 2nd International Conference on Vulnerability and Risk Analysis and Management, ICVRAM 2014 and the 6th International Symposium on Uncertainty Modeling and Analysis, ISUMA 2014. editor / Jim W. Hall ; Siu-Kui Au ; Michael Beer. American Society of Civil Engineers (ASCE), 2014. pp. 409-418 (Vulnerability, Uncertainty, and Risk: Quantification, Mitigation, and Management - Proceedings of the 2nd International Conference on Vulnerability and Risk Analysis and Management, ICVRAM 2014 and the 6th International Symposium on Uncertainty Modeling and Analysis, ISUMA 2014).

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title = "A Group of Deterioration Curves of Bridges Estimated by Extended em Algorithm",

abstract = "This study proposes a method to separate data into several groups and perform regression analysis for each group at the same time statistically by using EM (Expectation and Maximization) algorithm or its extended formulation to nonlinear regression problem. Using the proposed method, a group of deterioration curves is estimated based on a health index database of 341 bridges by visual inspection in Gifu prefecture, Japan. The ordinary EM algorithm can only treat linear regression, so the algorithm is extended to nonlinear regression problems. In our proposed method, the hidden parameter and standard deviation of error are estimated following the ordinary EM algorithm, whereas nonlinear coefficients are estimated by using Particle Swarm Optimization-one of the global optimization methods. Deterioration curves of the four bridge groups are estimated with the inspection database by the proposed algorithm.",

author = "I. Yoshida and Y. Otake and Y. Honjo",

note = "Publisher Copyright: {\textcopyright} 2014 American Society of Civil Engineers.; 2nd International Conference on Vulnerability and Risk Analysis and Management, ICVRAM 2014 and the 6th International Symposium on Uncertainty Modeling and Analysis, ISUMA 2014 ; Conference date: 13-07-2014 Through 16-07-2014",

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Yoshida, I, Otake, Y & Honjo, Y 2014, A Group of Deterioration Curves of Bridges Estimated by Extended em Algorithm. in JW Hall, S-K Au & M Beer (eds), Vulnerability, Uncertainty, and Risk: Quantification, Mitigation, and Management - Proceedings of the 2nd International Conference on Vulnerability and Risk Analysis and Management, ICVRAM 2014 and the 6th International Symposium on Uncertainty Modeling and Analysis, ISUMA 2014. Vulnerability, Uncertainty, and Risk: Quantification, Mitigation, and Management - Proceedings of the 2nd International Conference on Vulnerability and Risk Analysis and Management, ICVRAM 2014 and the 6th International Symposium on Uncertainty Modeling and Analysis, ISUMA 2014, American Society of Civil Engineers (ASCE), pp. 409-418, 2nd International Conference on Vulnerability and Risk Analysis and Management, ICVRAM 2014 and the 6th International Symposium on Uncertainty Modeling and Analysis, ISUMA 2014, Liverpool, United Kingdom, 14/7/13. https://doi.org/10.1061/9780784413609.042

A Group of Deterioration Curves of Bridges Estimated by Extended em Algorithm. / Yoshida, I.; Otake, Y.; Honjo, Y.
Vulnerability, Uncertainty, and Risk: Quantification, Mitigation, and Management - Proceedings of the 2nd International Conference on Vulnerability and Risk Analysis and Management, ICVRAM 2014 and the 6th International Symposium on Uncertainty Modeling and Analysis, ISUMA 2014. ed. / Jim W. Hall; Siu-Kui Au; Michael Beer. American Society of Civil Engineers (ASCE), 2014. p. 409-418 (Vulnerability, Uncertainty, and Risk: Quantification, Mitigation, and Management - Proceedings of the 2nd International Conference on Vulnerability and Risk Analysis and Management, ICVRAM 2014 and the 6th International Symposium on Uncertainty Modeling and Analysis, ISUMA 2014).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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Yoshida I, Otake Y, Honjo Y. A Group of Deterioration Curves of Bridges Estimated by Extended em Algorithm. In Hall JW, Au S-K, Beer M, editors, Vulnerability, Uncertainty, and Risk: Quantification, Mitigation, and Management - Proceedings of the 2nd International Conference on Vulnerability and Risk Analysis and Management, ICVRAM 2014 and the 6th International Symposium on Uncertainty Modeling and Analysis, ISUMA 2014. American Society of Civil Engineers (ASCE). 2014. p. 409-418. (Vulnerability, Uncertainty, and Risk: Quantification, Mitigation, and Management - Proceedings of the 2nd International Conference on Vulnerability and Risk Analysis and Management, ICVRAM 2014 and the 6th International Symposium on Uncertainty Modeling and Analysis, ISUMA 2014). doi: 10.1061/9780784413609.042

A Group of Deterioration Curves of Bridges Estimated by Extended em Algorithm

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