PSEUDO-LIKELIHOOD RATIO SCREENING BASED ON NETWORK DATA WITH APPLICATIONS

• 成果类型: Article
• 署名作者: Hu, Wei; Huang, Danyang; Zhang, Bo
• 署名单位: Chinese Academy of Sciences; Renmin University of China
• 刊物名称: ANNALS OF APPLIED STATISTICS
• ISSN/ISSBN: 1932-6157; 1941-7330
• DOI: 10.1214/25-AOAS2058
• 发表日期: 2025-09
• 页码: 2517-2538
• 关键词: Feature screening; pseudo-likelihood ratio; Network structure; ultrahigh-dimensional categorical data; strong screening consistency; kolmogorov filter; INDEPENDENCE; MODEL

摘要

Social network platforms today generate vast amounts of data, including network structures and a large number of user-defined tags, which reflect users' interests. The dimensionality of these personalized tags can be ultrahigh, posing challenges for model analysis in targeted preference analysis. Traditional categorical feature screening methods overlook the network structure, which can lead to incorrect feature set and suboptimal prediction accuracy. This study focuses on feature screening for network-involved preference analysis based on ultrahigh-dimensional categorical tags. We introduce the concepts of self-related features and network-related features, defined as those directly related to the response and those related to the network structure, respectively. We then propose a pseudo-likelihood ratio feature screening procedure that identifies both types of features. Theoretical properties of this procedure under different scenarios are thoroughly investigated. Extensive simulations and real data analysis on Sina Weibo validate our findings.