Relaxed support vector regression

Orestis P. Panagopoulos (), Petros Xanthopoulos (), Talayeh Razzaghi () and Onur Şeref ()
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Orestis P. Panagopoulos: California State University, Stanislaus
Petros Xanthopoulos: Stetson University
Talayeh Razzaghi: New Mexico State University
Onur Şeref: Virginia Polytechnic Institute and State University

Annals of Operations Research, 2019, vol. 276, issue 1, No 9, 210 pages

Abstract: Abstract Datasets with outliers pose a serious challenge in regression analysis. In this paper, a new regression method called relaxed support vector regression (RSVR) is proposed for such datasets. RSVR is based on the concept of constraint relaxation which leads to increased robustness in datasets with outliers. RSVR is formulated using both linear and quadratic loss functions. Numerical experiments on benchmark datasets and computational comparisons with other popular regression methods depict the behavior of our proposed method. RSVR achieves better overall performance than support vector regression (SVR) in measures such as RMSE and $$R^2_{adj}$$ R adj 2 while being on par with other state-of-the-art regression methods such as robust regression (RR). Additionally, RSVR provides robustness for higher dimensional datasets which is a limitation of RR, the robust equivalent of ordinary least squares regression. Moreover, RSVR can be used on datasets that contain varying levels of noise.

Keywords: Regression; Relaxed support vector regression; Outliers; Relaxed support vector machines; Support vector regression (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (3)

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DOI: 10.1007/s10479-018-2847-6

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