Adaptive robust learning framework for twin support vector machine classification

作者:

Highlights:

• A correntropy-based generalized robust distance metric is proposed, called correntropy induced metric (CIM).

• A robust loss function is proposed, namely, adaptive capped Lθε-loss.

• Some important and interesting properties of the Lθε-loss and CIM are demonstrated.

• A adaptive robust twin support vector machine (ARTSVM) is proposed based on CIM and Lθε-loss.

• DC programming technique is used to solve the ARTSVM.

• Numerical experiments under different noises show that the proposed ARTSVM is effective and more robust to outliers.

摘要

•A correntropy-based generalized robust distance metric is proposed, called correntropy induced metric (CIM).•A robust loss function is proposed, namely, adaptive capped Lθε-loss.•Some important and interesting properties of the Lθε-loss and CIM are demonstrated.•A adaptive robust twin support vector machine (ARTSVM) is proposed based on CIM and Lθε-loss.•DC programming technique is used to solve the ARTSVM.•Numerical experiments under different noises show that the proposed ARTSVM is effective and more robust to outliers.

论文关键词:Robustness,Correntropy,Distance metric,Twin support vector machine,DC programming

论文评审过程:Received 12 March 2020, Revised 17 September 2020, Accepted 13 October 2020, Available online 14 October 2020, Version of Record 2 November 2020.

论文官网地址:https://doi.org/10.1016/j.knosys.2020.106536