A Hybrid Computational Method Based on Convex Optimization for Outlier Problems: Application to Earthquake Ground Motion Prediction
Volume 27, Issue 4 (2016), pp. 893–910
Pub. online: 1 January 2016
Type: Research Article
Received
1 May 2015
1 May 2015
Accepted
1 March 2016
1 March 2016
Published
1 January 2016
1 January 2016
Abstract
Statistical modelling plays a central role for any prediction problem of interest. However, predictive models may give misleading results when the data contain outliers. In many real-world applications, it is important to identify and treat the outliers without direct elimination. To handle such issues, a hybrid computational method based on conic quadratic programming is introduced and employed on earthquake ground motion dataset. This method aims to minimize the impact of the outliers on regression estimators as well as handling the nonlinearity in the dataset. Results are compared against widely used parametric and nonparametric ground motion prediction models.