Title
A new asymmetric ϵ-insensitive pinball loss function based support vector quantile regression model
Abstract
In this paper, we propose a novel asymmetric ϵ-insensitive pinball loss function for quantile estimation. There exists some pinball loss functions which attempt to incorporate the ϵ-insensitive zone approach in it but, they fail to extend the ϵ-insensitive approach for quantile estimation in true sense. The proposed asymmetric ϵ-insensitive pinball loss function can make an asymmetric ϵ- insensitive zone of fixed width around the data and divide it using τ value for the estimation of the τth quantile. The use of the proposed asymmetric ϵ-insensitive pinball loss function in Support Vector Quantile Regression (SVQR) model improves its prediction ability significantly. It also brings the sparsity back in SVQR model. Further, the numerical results obtained by several experiments carried on simulated and real world datasets empirically show the efficacy of the proposed ‘ϵ-Support Vector Quantile Regression’ (ϵ-SVQR) model over other existing SVQR models.
Year
DOI
Venue
2020
10.1016/j.asoc.2020.106473
Applied Soft Computing
Keywords
DocType
Volume
Quantile regression,Pinball loss function,Support vector machine,ϵ-insensitive loss function
Journal
94
ISSN
Citations 
PageRank 
1568-4946
0
0.34
References 
Authors
0
3
Name
Order
Citations
PageRank
Pritam Anand111.37
Reshma Rastogi252.45
Suresh Chandra390248.57