Robust regression framework with asymmetrically analogous to correntropy-induced loss

作者:

Highlights:

• Propose an analogous to correntropy-induced loss ( RE-loss).

• RE-loss is an exponential expectile penalty.

• A sparse version of RE-loss is built with a ϵ-insensitive version.

• Demonstrate important properties of RE-loss function.

• RE-loss includes and extends the existing loss functions.

摘要

•Propose an analogous to correntropy-induced loss ( RE-loss).•RE-loss is an exponential expectile penalty.•A sparse version of RE-loss is built with a ϵ-insensitive version.•Demonstrate important properties of RE-loss function.•RE-loss includes and extends the existing loss functions.

论文关键词:Robustness,Asymmetry least square loss,Expectile,Nonconvexity,Correntropy,Regression,CCCP

论文评审过程:Received 13 January 2019, Revised 7 November 2019, Accepted 7 November 2019, Available online 11 November 2019, Version of Record 8 February 2020.

论文官网地址:https://doi.org/10.1016/j.knosys.2019.105211