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Peter Hall’s work on high-dimensional data and classification

Richard J. Samworth

The Annals of Statistics · 2016 · Volume 44 · Issue 5

DOI: 10.1214/16-AOS1493

Abstract

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.

Keywords

01A70, 62-03, ‎classification‎, High-dimensional data

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