文献详情
Groupwise sufficient dimension reduction via conditional distance clustering
文献类型：期刊
通讯作者：Zhang, JX (reprint author), Renmin Univ China, Ctr Appl Stat, Sch Stat, Beijing, Beijing, Peoples R China.
期刊名称：METRIKA影响因子和分区
年：2020
卷：83
期：2
页码：217-242
ISSN：0026-1335
关键词：Sufficient dimension reduction; Group structure; Conditional independence; Conditional distance clustering
所属部门：统计学院
摘要：It becomes increasingly common to incorporate the predictors' grouping knowledge into dimension reduction techniques. In this article, we establish a complete framework named groupwise sufficient dimension reduction via conditional distance clustering, when the grouping information is unknown. We introduce a simple-type conditional dependence measurement and a corresponding conditional independence test. A clustering procedure based on the measurement and test is constructed to detect the suitab ...More
It becomes increasingly common to incorporate the predictors' grouping knowledge into dimension reduction techniques. In this article, we establish a complete framework named groupwise sufficient dimension reduction via conditional distance clustering, when the grouping information is unknown. We introduce a simple-type conditional dependence measurement and a corresponding conditional independence test. A clustering procedure based on the measurement and test is constructed to detect the suitable group structure. Finally we conduct sufficient dimension reduction under the obtained structure. Both simulations and a real data analysis demonstrate that the clustering strategy is effective, and the groupwise sufficient dimension reduction method is generally superior to the classical sufficient dimension reduction method. ...Hide

DOI：10.1007/s00184-019-00732-7
百度学术：Groupwise sufficient dimension reduction via conditional distance clustering
语言：外文
人气指数：2
浏览次数：2
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