A Note on the Richness of Convex Hulls of VC Classes

Lugosi, Gabor; Mendelson, Shahar; Koltchinskii, Vladimir

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A Note on the Richness of Convex Hulls of VC Classes

Date

2003

Authors

Lugosi, Gabor

Mendelson, Shahar

Koltchinskii, Vladimir

Publisher

Institute of Mathematical Statistics

Abstract

We prove the existence of a class A of subsets of ℝd of VC dimension 1 such that the symmetric convex hull F of the class of characteristic functions of sets in A is rich in the following sense. For any absolutely continuous probability measure μ on �

Keywords

Keywords: Boosting; Convex hull; VC dimension

URI

http://hdl.handle.net/1885/86105

Collections

ANU Research Publications

Source

Electronic Communications in Probability

Type

Journal article

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A Note on the Richness of Convex Hulls of VC Classes

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