Bias and variance residuals for machine learning nonlinear simplex regressions

作者:

Highlights:

• Nonlinear simplex regression models can be used for supervised machine learning.

• We propose two new residuals for a supervised nonlinear simplex regressions.

• The new residuals were obtained from the joint estimation of all model parameters.

• The new residuals do not require computation of large projection matrices.

• Three empirical applications are presented; they favor the new residuals.

摘要

•Nonlinear simplex regression models can be used for supervised machine learning.•We propose two new residuals for a supervised nonlinear simplex regressions.•The new residuals were obtained from the joint estimation of all model parameters.•The new residuals do not require computation of large projection matrices.•Three empirical applications are presented; they favor the new residuals.

论文关键词:Double bounded variable,Machine learning,Outlier,Simplex regression

论文评审过程:Received 14 May 2020, Revised 4 March 2021, Accepted 22 July 2021, Available online 30 July 2021, Version of Record 4 August 2021.

论文官网地址:https://doi.org/10.1016/j.eswa.2021.115656