Conditional probability estimation based classification with class label missing at random

doi:10.1016/j.jmva.2019.104566

CSpace > 应用数学研究所

	Conditional probability estimation based classification with class label missing at random
	Sheng, Ying 1; Wang, Qihua1,2
	2020-03-01
发表期刊	JOURNAL OF MULTIVARIATE ANALYSIS
ISSN	0047-259X
卷号	176 页码:13
摘要	For binary classification, it is common that class labels of some subjects are missing. Generally, the complete case analysis and the two stage procedure can be used to extend existing full data classification methods to deal with classification with missing class labels. Nevertheless, these two approaches cannot take full advantage of unlabeled subjects. In this paper, binary classification with the class label missing at random (MAR) is considered. Based on the inverse probability weighting (IPW) method and the augmented inverse probability weighting (AIPW) method, two new methods called IPW-CPC and AIPW-CPC are proposed to construct powerful classifiers by estimating the conditional probability in a reproducing kernel Hilbert space (RKHS). Compared with the complete case analysis and the two stage procedure, the proposed IPW-CPC and AIPW-CPC methods can make the best use of unlabeled subjects, which contributes a lot to improving classification accuracy. Theoretically, we show that conditional misclassification rates of the proposed classifiers converge to the Bayes misclassification rate in probability and rates of convergence are also obtained. Finally, simulations and the real data analysis well demonstrate good performances of the proposed IPW-CPC and AIPW-CPC methods in comparison with existing methods. (C) 2019 Elsevier Inc. All rights reserved.
关键词	Binary classification Conditional probability estimation Missing at random Reproducing kernel Hilbert space
DOI	10.1016/j.jmva.2019.104566
收录类别	SCI
语种	英语
资助项目	National Natural Science Foundation of China[11871460] ; National Natural Science Foundation of China (program for Creative Research Group in China)[61621003] ; Key Lab of Random Complex Structure and Data Science, CAS, China
WOS研究方向	Mathematics
WOS类目	Statistics & Probability
WOS记录号	WOS:000509418400002
出版者	ELSEVIER INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/50583
专题	应用数学研究所
通讯作者	Wang, Qihua
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Sheng, Ying,Wang, Qihua. Conditional probability estimation based classification with class label missing at random[J]. JOURNAL OF MULTIVARIATE ANALYSIS,2020,176:13.
APA	Sheng, Ying,&Wang, Qihua.(2020).Conditional probability estimation based classification with class label missing at random.JOURNAL OF MULTIVARIATE ANALYSIS,176,13.
MLA	Sheng, Ying,et al."Conditional probability estimation based classification with class label missing at random".JOURNAL OF MULTIVARIATE ANALYSIS 176(2020):13.