Model-free feature screening for ultrahigh dimensional classification | |
Sheng, Ying1,2; Wang, Qihua1,2,3 | |
刊名 | JOURNAL OF MULTIVARIATE ANALYSIS
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2020-07-01 | |
卷号 | 178页码:12 |
关键词 | Classification accuracy The Bayes rule Sure screening Ultrahigh dimensional classification |
ISSN号 | 0047-259X |
DOI | 10.1016/j.jmva.2020.104618 |
英文摘要 | In this paper, a new model-free feature screening method based on classification accuracy of marginal classifiers is proposed for ultrahigh dimensional classification. Different from existing methods, which use the differences of means or differences of conditional cumulative distribution functions between classes as the screening indexes, we propose a new feature screening method to rank the importance of predictors based on classification accuracy of marginal classifiers. For each variable, we construct the corresponding marginal classifier according to the Bayes rule and thus classification accuracy of these marginal classifiers can be used as effective feature screening indexes to select all important variables. Not only for a fixed number of classes but also for a diverging number of classes, we can prove that the proposed method enjoys the sure screening property under some regularity conditions. Finally, simulations and the real data analysis well demonstrate good performance of the proposed method in comparison with existing methods. (C) 2020 Elsevier Inc. All rights reserved. |
资助项目 | National Natural Science Foundation of China[11871460] ; National Natural Science Foundation of China[61621003] ; Key Lab of Random Complex Structure and Data Science, CAS, China |
WOS研究方向 | Mathematics |
语种 | 英语 |
出版者 | ELSEVIER INC |
WOS记录号 | WOS:000534407700010 |
内容类型 | 期刊论文 |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/51548] ![]() |
专题 | 应用数学研究所 |
通讯作者 | Wang, Qihua |
作者单位 | 1.Univ Chinese Acad Sci, Beijing 100049, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Zhejiang Gongshang Univ, Sch Stat & Math, Hangzhou 310018, Peoples R China |
推荐引用方式 GB/T 7714 | Sheng, Ying,Wang, Qihua. Model-free feature screening for ultrahigh dimensional classification[J]. JOURNAL OF MULTIVARIATE ANALYSIS,2020,178:12. |
APA | Sheng, Ying,&Wang, Qihua.(2020).Model-free feature screening for ultrahigh dimensional classification.JOURNAL OF MULTIVARIATE ANALYSIS,178,12. |
MLA | Sheng, Ying,et al."Model-free feature screening for ultrahigh dimensional classification".JOURNAL OF MULTIVARIATE ANALYSIS 178(2020):12. |
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