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Obtaining fast error rates in nonconvex situations

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dc.contributor.authorMendelson, Shahar
dc.date.accessioned2015-12-10T21:54:45Z
dc.date.issued2008
dc.date.updated2015-12-09T07:28:26Z
dc.description.abstractWe show that under mild assumptions on the learning problem, one can obtain a fast error rate for every reasonable fixed target function even if the base class is not convex. To that end, we show that in such cases the excess loss class satisfies a Bernstein type condition.
dc.identifier.issn0885-064X
dc.identifier.urihttp://hdl.handle.net/1885/39068
dc.publisherElsevier
dc.sourceJournal of Complexity
dc.subjectKeywords: Learning systems; (I ,J) conditions; Base class; Elsevier (CO); Error Rate (ER); excess losses; Learning problems; Nonconvex; Target functions; Error analysis Bernstein condition; Nearest point map; Nonconvex classes
dc.titleObtaining fast error rates in nonconvex situations
dc.typeJournal article
local.bibliographicCitation.lastpage397
local.bibliographicCitation.startpage380
local.contributor.affiliationMendelson, Shahar, College of Physical and Mathematical Sciences, ANU
local.contributor.authoruidMendelson, Shahar, u4011413
local.description.embargo2037-12-31
local.description.notesImported from ARIES
local.identifier.absfor080201 - Analysis of Algorithms and Complexity
local.identifier.ariespublicationu3169606xPUB171
local.identifier.citationvolume24
local.identifier.doi10.1016/j.jco.2007.09.001
local.identifier.scopusID2-s2.0-44649102735
local.type.statusPublished Version

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