Group feature screening based on Gini impurity for ultrahigh-dimensional multi-classification

AIMS Mathematics

article

Zhongzheng Wang¹  Guangming Deng¹  Haiyun Xu³ 

[1] College of science, Guilin University of Technology;Applied Statistics Institute, Guilin University of Technology;School of finance, Jiangxi University of Finance and Economics

关键词: ultrahigh-dimensional;    group feature screening;    model-free;    Gini impurity;    classification model;   

DOI  :  10.3934/math.2023216

学科分类：地球科学(综合)

来源: AIMS Press

【 摘 要 】

Because the majority of model-free feature screening methods concentrate on individual predictors, they are unable to consider structured predictors, such as grouped variables. In this study, we suggest a model-free and direct extension of the original sure independence screening approach for group screening using Gini impurity for a classification model. Compared to current feature screening approaches, the proposed method performs better in terms of screening efficiency and classification accuracy. It was established that the suggested group screening process exhibits sure screening properties and ranking consistency properties under specific regularity conditions. We used simulation studies to illustrate the limited sample performance of the proposed technique and real data analysis.

【 授权许可】

CC BY