Abstract
In the machine-learning area of equation discovery (ED) context-free grammars (CFG) can be used to generate equation structures that best describe the dependencies in a given data set. Our goal is to investigate the possible strategies of incorporating domain knowledge into a CFG, and evaluate the effect on the obtained results in the ED process. As a case study, the Lagramge ED system is used to discover equations that predict the peak ground acceleration (PGA) in an earthquake event. Existing equations for PGA represent rich domain knowledge and are used to form three different CFGs. The obtained results demonstrate that the inclusion of domain knowledge in the CFG which is neither too general, neither too specific, may lead to new, high-precision equation models for PGA.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Akkar, S., Bommer, J.J.: Empirical equations for the prediction of PGA, PGV, and spectral accelerations in Europe, the Mediterranean region, and the Middle east. Seismol. Res. Lett. 81(2), 195–206 (2010)
Douglas, J.: Earthquake ground motion estimation using strong-motion records: a review of equations for the estimation of peak ground acceleration and response spectral ordinates. Earth-Sci. Rev. 61(1-2), 43–104 (2003)
Douglas, J.: Ground-motion prediction equations 1964–2010. Final report, BRGM/RP-59356-FR and PEER/2011/102, Pac. Earthq. Eng. Res. Cent., 444 p. (2011)
Kompare, B., Todorovski, L., Džeroski, S.: Modelling and prediction of phytoplankton growth with equation discovery: case study–Lake Glumsø, Denmark. Verh. Int. Verein. Limnol. 27, 3626–3631 (2001)
Markič, Š., Dirnbek, J., Stankovski, V.: A Grid Application for Equation Discovery in the Earthquake Engineering Domain. In: Proc. of the 3rd Int. Conf. on Parall, Distrib., Grid and Cloud. Comp. for Eng. Civil-Comp Press (in press, 2013)
Markič, Š., Stankovski, V.: An equation-discovery approach to earthquake-ground-motion prediction. Eng. Appl. Artific. Intel. (in press, 2013), doi:10.1016/j.engappai.2012.12.005
Peruš, I., Fajfar, P.: Ground-motion prediction by a non-parametric approach. Earthq. Eng. & Struct. Dyn. 39, 1395–1416 (2010)
Todorovski, L., Džeroski, S.: Declarative bias in equation discovery. In: Proc. of the 14th Int. Conf. on Mach. Learn., pp. 376–384 (1997)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2013 Springer International Publishing Switzerland
About this paper
Cite this paper
Markič, Š., Stankovski, V. (2013). Developing Context-Free Grammars for Equation Discovery: An Application in Earthquake Engineering. In: Ali, M., Bosse, T., Hindriks, K., Hoogendoorn, M., Jonker, C., Treur, J. (eds) Contemporary Challenges and Solutions in Applied Artificial Intelligence. Studies in Computational Intelligence, vol 489. Springer, Heidelberg. https://doi.org/10.1007/978-3-319-00651-2_27
Download citation
DOI: https://doi.org/10.1007/978-3-319-00651-2_27
Publisher Name: Springer, Heidelberg
Print ISBN: 978-3-319-00650-5
Online ISBN: 978-3-319-00651-2
eBook Packages: EngineeringEngineering (R0)