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Some New Vapnik-Chervonenkis Classes

G. Stengle, J. E. Yukich

The Annals of Statistics · 1989 · Volume 17 · Issue 4

DOI: 10.1214/aos/1176347373

Abstract

The theory of semialgebraic sets is used to generate new Vapnik-Chervonenkis (VC) classes of positivity sets. It is also shown that certain analytic families of positivity sets are VC.

Keywords

32C05, 60B99, semialgebraic sets, semianalytic positivity sets, Vapnik-Chervonenkis class

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