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Civil-Comp Proceedings
ISSN 1759-3433 CCP: 106
PROCEEDINGS OF THE TWELFTH INTERNATIONAL CONFERENCE ON COMPUTATIONAL STRUCTURES TECHNOLOGY Edited by:
Paper 47
Least-Squares-Kernel-Machine Regression for Earthquake Ground Motion Prediction J. Tezcan1, Y. Dak Hazirbaba1 and Q. Cheng2
1Department of Civil and Environmental Engineering, Southern Illinois University Carbondale, United States
J. Tezcan, Y. Dak Hazirbaba, Q. Cheng, "Least-Squares-Kernel-Machine Regression for Earthquake Ground Motion Prediction", in , (Editors), "Proceedings of the Twelfth International Conference on Computational Structures Technology", Civil-Comp Press, Stirlingshire, UK, Paper 47, 2014. doi:10.4203/ccp.106.47
Keywords: least-square-kernel-machine, mixed effect model, semi-parametric regression, residual maximum likelihood method, ground motion analysis, covariance matrix..
Summary
This paper presents a semi-parametric mixed-effect regression approach for
analysing and modelling earthquake ground motions, taking into account the
correlations between records. Using kernels, the proposed method extends the
classical mixed model equations to complicated relationships. The predictive
equation is composed of parametric and nonparametric parts. The parametric part
incorporates known relationships into the model, while the nonparametric part
captures the relationships which cannot be cast into a simple parametric form. A
least squares kernel machine is used to infer the nonparametric part of the model.
The resulting semi-parametric model combines the strengths of parametric and
nonparametric approaches, allowing incorporation of prior, well-justified knowledge
into the model while retaining flexibility with respect to the explanatory variables
for which the functional form is uncertain. The validity of the proposed method is
demonstrated through an example.
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