Some Local Measures of Complexity of Convex Hulls and Generalization Bounds

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dc.creatorBousquet, Olivier
dc.creatorKoltchinskii, Vladimir
dc.creatorPanchenko, Dmitry
dc.date2004-05-18
dc.date.accessioned2026-07-07T05:08:22Z
dc.date.available2026-07-07T05:08:22Z
dc.descriptionWe investigate measures of complexity of function classes based on continuity moduli of Gaussian and Rademacher processes. For Gaussian processes, we obtain bounds on the continuity modulus on the convex hull of a function class in terms of the same quantity for the class itself. We also obtain new bounds on generalization error in terms of localized Rademacher complexities. This allows us to prove new results about generalization performance for convex hulls in terms of characteristics of the base class. As a byproduct, we obtain a simple proof of some of the known bounds on the entropy of convex hulls.
dc.description15 pages
dc.identifierhttps://arxiv.org/abs/math/0405340
dc.identifierhttp://arxiv.org/abs/math/0405340
dc.identifier2002 Lecture Notes on Artificial Intelligence 2375
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71230
dc.subjectProbability
dc.subject60G35
dc.titleSome Local Measures of Complexity of Convex Hulls and Generalization Bounds
dc.typetext

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