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A Note on the Richness of Convex Hulls of VC Classes

Lugosi, Gabor; Mendelson, Shahar; Koltchinskii, Vladimir

Description

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 �

CollectionsANU Research Publications
Date published: 2003
Type: Journal article
URI: http://hdl.handle.net/1885/86105
Source: Electronic Communications in Probability

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