PETER HALL'S WORK ON HIGH-DIMENSIONAL DATA AND CLASSIFICATION

• 成果类型: Article
• 署名作者: Samworth, Richard J.
• 署名单位: University of Cambridge
• 刊物名称: ANNALS OF STATISTICS
• ISSN/ISSBN: 0090-5364
• DOI: 10.1214/16-AOS1493
• 发表日期: 2016
• 页码: 1888-1895
• 关键词: VARIABLE SELECTION; CLASSIFIERS; regression; CHOICE

摘要

In this article, I summarise Peter Hall's contributions to high-dimensional data, including their geometric representations and variable selection methods based on ranking. I also discuss his work on classification problems, concluding with some personal reflections on my own interactions with him. This article complements [Ann. Statist. 44 (2016) 1821-1836; Ann. Statist. 44 (2016) 1837-1853; Ann. Statist. 44 (2016) 1854-1866 and Ann. Statist. 44 (2016) 1867-1887], which focus on other aspects of Peter's research.