Conditional probability estimation based classification with class label missing at random
文献类型：期刊论文
| 作者 | Sheng, Ying2; Wang, Qihua1,2
|
| 刊名 | JOURNAL OF MULTIVARIATE ANALYSIS
 |
| 出版日期 | 2020-03-01 |
| 卷号 | 176页码:13 |
| 关键词 | Binary classification Conditional probability estimation Missing at random Reproducing kernel Hilbert space |
| ISSN号 | 0047-259X |
| DOI | 10.1016/j.jmva.2019.104566 |
| 英文摘要 | 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. |
| 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 |
| 语种 | 英语 |
| WOS记录号 | WOS:000509418400002 |
| 出版者 | ELSEVIER INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/50582]  |
| 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 |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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