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Gaussian averages of interpolated bodies and applications to approximate reconstruction

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Gordon, Y.; Litvak, Alexander; Mendelson, Shahar; Pajor, Alain

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We prove sharp bounds for the expectation of the supremum of the Gaussian process indexed by the intersection of Bpn with ρ Bqn for 1 ≤ p, q ≤ ∞ and ρ > 0, and by the intersection of Bp ∞n with ρ B2n for 0 < p ≤ 1 and ρ > 0. We present an ap

dc.contributor.authorGordon, Y.
dc.contributor.authorLitvak, Alexander
dc.contributor.authorMendelson, Shahar
dc.contributor.authorPajor, Alain
dc.date.accessioned2015-12-08T22:38:52Z
dc.identifier.issn0021-9045
dc.identifier.urihttp://hdl.handle.net/1885/35993
dc.description.abstractWe prove sharp bounds for the expectation of the supremum of the Gaussian process indexed by the intersection of Bpn with ρ Bqn for 1 ≤ p, q ≤ ∞ and ρ > 0, and by the intersection of Bp ∞n with ρ B2n for 0 < p ≤ 1 and ρ > 0. We present an ap
dc.publisherElsevier
dc.sourceJournal of Approximation Theory
dc.subjectLow M*-estimate
dc.subjectApproximate reconstruction
dc.subjectDiameter of a section
dc.subjectGaussian averages
dc.subjectGaussian process
dc.subjectGelfand widths
dc.subjectInterpolation
dc.subjectLearning theory
dc.titleGaussian averages of interpolated bodies and applications to approximate reconstruction
dc.typeJournal article
local.description.notesImported from ARIES
local.identifier.citationvolume149
dc.date.issued2007
local.identifier.absfor010201 - Approximation Theory and Asymptotic Methods
local.identifier.ariespublicationu3169606xPUB131
local.type.statusPublished Version
local.contributor.affiliationGordon, Y, Technion University
local.contributor.affiliationLitvak, Alexander, University of Alberta
local.contributor.affiliationMendelson, Shahar, College of Physical and Mathematical Sciences, ANU
local.contributor.affiliationPajor, Alain, Universite de Marne-la-Vallee
local.description.embargo2037-12-31
local.bibliographicCitation.issue1
local.bibliographicCitation.startpage59
local.bibliographicCitation.lastpage73
local.identifier.doi10.1016/j.jat.2007.04.007
dc.date.updated2015-12-08T10:11:33Z
local.identifier.scopusID2-s2.0-35648994961
CollectionsANU Research Publications

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