Skip navigation
Skip navigation

The shattering dimension of sets of linear functionals

Schechtman, Gideon; Mendelson, Shahar


We evaluate the shattering dimension of various classes of linear functionals on various symmetric convex sets. The proofs here relay mostly on methods from the local theory of normed spaces and include volume estimates, factorization techniques and tail estimates of norms, viewed as random variables on Euclidean spheres. The estimates of shattering dimensions can be applied to obtain error bounds for certain classes of functions, a fact which was the original motivation of this study....[Show more]

CollectionsANU Research Publications
Date published: 2004
Type: Journal article
Source: The Annals of Probability
DOI: 10.1214/009117904000000388
Access Rights: Open Access


File Description SizeFormat Image
01_Mendelson_The_Shattering_Dimension_2004.pdf200.59 kBAdobe PDFThumbnail

Items in Open Research are protected by copyright, with all rights reserved, unless otherwise indicated.

Updated:  19 May 2020/ Responsible Officer:  University Librarian/ Page Contact:  Library Systems & Web Coordinator