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Classification in a Normalized Feature Space using Support Vector Machines

dc.contributor.authorGraf, Arnulf
dc.contributor.authorSmola, Alexander
dc.contributor.authorBorer, Silvio
dc.date.accessioned2015-12-13T23:07:04Z
dc.date.issued2003
dc.date.updated2015-12-12T08:07:51Z
dc.description.abstractThis paper discusses classification using support vector machines in a normalized feature space. We consider both normalization in input space and in feature space. Exploiting the fact that in this setting all points lie on the surface of a unit hypersphere we replace the optimal separating hyperplane by one that is symmetric in its angles, leading to an improved estimator. Evaluation of these considerations is done in numerical experiments on two real-world datasets. The stability to noise of this offset correction is subsequently investigated as well as its optimality.
dc.identifier.issn1045-9227
dc.identifier.urihttp://hdl.handle.net/1885/86049
dc.publisherInstitute of Electrical and Electronics Engineers (IEEE Inc)
dc.sourceIEEE Transactions on Neural Networks
dc.subjectKeywords: Algorithms; Error analysis; Feature extraction; Linear programming; Mathematical models; Mathematical transformations; Matrix algebra; Numerical methods; Optimization; Spurious signal noise; Vectors; Classification error; Feature space; Optimal separating Classification error; Dataset partitioning; Feature space; Input space; Noise; Normalization; Optimal separating hyperplane (OSH); Optimality; Support vector machines (SVMs)
dc.titleClassification in a Normalized Feature Space using Support Vector Machines
dc.typeJournal article
local.bibliographicCitation.issue3
local.bibliographicCitation.lastpage605
local.bibliographicCitation.startpage597
local.contributor.affiliationGraf, Arnulf, Max Planck Institute for Biological Cybernetics
local.contributor.affiliationSmola, Alexander, College of Engineering and Computer Science, ANU
local.contributor.affiliationBorer, Silvio, Swiss Federal Institute of Technology (ETH)
local.contributor.authoruidSmola, Alexander, u4039398
local.description.embargo2037-12-31
local.description.notesImported from ARIES
local.description.refereedYes
local.identifier.absfor080109 - Pattern Recognition and Data Mining
local.identifier.ariespublicationMigratedxPub14787
local.identifier.citationvolume14
local.identifier.doi10.1109/TNN.2003.811708
local.identifier.scopusID2-s2.0-0037844872
local.type.statusPublished Version

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