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Optimization approaches to supervised classification

dc.contributor.authorSilva, A. Pedro Duarte
dc.date.accessioned2017-07-12T09:51:53Z
dc.date.available2017-07-12T09:51:53Z
dc.date.issued2017
dc.description.abstractThe Supervised Classification problem, one of the oldest and most recurrent problems in applied data analysis, has always been analyzed from many different perspectives. When the emphasis is placed on its overall goal of developing classification rules with minimal classification cost, Supervised Classification can be understood as an optimization problem. On the other hand, when the focus is in modeling the uncertainty involved in the classification of future unknown entities, it can be formulated as a statistical problem. Other perspectives that pay particular attention to pattern recognition and machine learning aspects of Supervised Classification have also a long history that has lead to influential insights and dif- ferent methodologies. In this review, two approaches to Supervised Classification strongly related to optimization theory will be discussed and compared. In particular, we will review methodologies based on Mathematical Programming models that optimize observable criteria linked to the true objective of misclassification error (or cost) minimization, and approaches derived from the minimization of known bounds on the true misclassification error. The former approach is known as the Mathematical Programming approach to Supervised Classification, while the latter is in the origin of the well known Classification Support Vector Machines. Throughout the review two-group as well as general multi-group problems will be considered, and the review will conclude with a discussion of the most promising research directions in this area.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.citationDUARTE SILVA, A. P. - Optimization approaches to Supervised Classification. European Journal of Operational Research. ISSN 0377-2217. Vol. 0377-2217. Vol. 261 (2017), p. 772-788pt_PT
dc.identifier.doi10.1016/j.ejor.2017.02.020pt_PT
dc.identifier.eid85016750152
dc.identifier.eissn1872-6860
dc.identifier.issn0377-2217
dc.identifier.urihttp://hdl.handle.net/10400.14/22491
dc.identifier.wos000401206300029
dc.language.isoengpt_PT
dc.peerreviewedyespt_PT
dc.publisherElsevierpt_PT
dc.subjectMultivariate statisticspt_PT
dc.subjectDiscriminant analysispt_PT
dc.subjectMathematical programmingpt_PT
dc.subjectSupport vector machinespt_PT
dc.titleOptimization approaches to supervised classificationpt_PT
dc.typejournal article
dspace.entity.typePublication
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/5876/UID%2FGES%2F00731%2F2013/PT
oaire.citation.endPage788
oaire.citation.issue2
oaire.citation.startPage772
oaire.citation.titleEuropean Journal of Operational Researchpt_PT
oaire.citation.volume261
oaire.fundingStream5876
person.familyNameDuarte Silva
person.givenNamePedro
person.identifier.ciencia-id371F-636A-E2E9
person.identifier.orcid0000-0003-1378-2403
person.identifier.ridB-6168-2008
person.identifier.scopus-author-id6602627961
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.nameFundação para a Ciência e a Tecnologia
rcaap.rightsrestrictedAccesspt_PT
rcaap.typearticlept_PT
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relation.isAuthorOfPublication.latestForDiscovery2a796b4b-6325-4af6-a47e-d233ccde3b53
relation.isProjectOfPublicationa8b84aa8-9668-4f1a-a6df-4989ff8fce05
relation.isProjectOfPublication.latestForDiscoverya8b84aa8-9668-4f1a-a6df-4989ff8fce05

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