An integer programming approach for the 2-class single-group classification problem
- Autores
- Corrêa, Ricardo C.; Blaum, Manuela; Marenco, Javier Leonardo; Koch, Ivo Valerio; Mydlarz, Marcelo
- Año de publicación
- 2019
- Idioma
- inglés
- Tipo de recurso
- documento de conferencia
- Estado
- versión publicada
- Descripción
- Two sets XB, XR ⊆ Rd are linearly separable if their convex hulls are disjoint, implying that a hyperplane separating XB from XR exists. Such a hyperplane provides a method for classifying new points, according to the side of the hyperplane in which the new points lie. In this work we consider a particular case of the 2-class classification problem, which asks to select the maximum number of points from XB and XR in such a way that the selected points are linearly separable. We present an integer programming formulation for this problem, explore valid inequalities for the associated polytope, and develop a cutting plane approach coupled with a lazy-constraints scheme.
Fil: Corrêa, Ricardo C.. Universidade Federal Rural Do Rio de Janeiro; Brasil
Fil: Blaum, Manuela. Universidad Nacional de General Sarmiento; Argentina
Fil: Marenco, Javier Leonardo. Universidad Nacional de General Sarmiento; Argentina
Fil: Koch, Ivo Valerio. Universidad Nacional de General Sarmiento; Argentina
Fil: Mydlarz, Marcelo. Universidad Nacional de General Sarmiento; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Latin-American Algorithms, Graphs and Optimization Symposium (LAGOS 2019)
Belo Horizonte
Brasil
Coordenação de Aperfeiçoamento de Pessoal de Nivel Superior
Conselho Nacional de Desenvolvimento Científico e Técnologico do Brasil
Universidade Federal de Minas Gerais - Materia
-
Classification
Integer programming
Polyhedral combinatorics - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
- Repositorio
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/129571
Ver los metadatos del registro completo
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An integer programming approach for the 2-class single-group classification problemCorrêa, Ricardo C.Blaum, ManuelaMarenco, Javier LeonardoKoch, Ivo ValerioMydlarz, MarceloClassificationInteger programmingPolyhedral combinatoricshttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1Two sets XB, XR ⊆ Rd are linearly separable if their convex hulls are disjoint, implying that a hyperplane separating XB from XR exists. Such a hyperplane provides a method for classifying new points, according to the side of the hyperplane in which the new points lie. In this work we consider a particular case of the 2-class classification problem, which asks to select the maximum number of points from XB and XR in such a way that the selected points are linearly separable. We present an integer programming formulation for this problem, explore valid inequalities for the associated polytope, and develop a cutting plane approach coupled with a lazy-constraints scheme.Fil: Corrêa, Ricardo C.. Universidade Federal Rural Do Rio de Janeiro; BrasilFil: Blaum, Manuela. Universidad Nacional de General Sarmiento; ArgentinaFil: Marenco, Javier Leonardo. Universidad Nacional de General Sarmiento; ArgentinaFil: Koch, Ivo Valerio. Universidad Nacional de General Sarmiento; ArgentinaFil: Mydlarz, Marcelo. Universidad Nacional de General Sarmiento; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaLatin-American Algorithms, Graphs and Optimization Symposium (LAGOS 2019)Belo HorizonteBrasilCoordenação de Aperfeiçoamento de Pessoal de Nivel SuperiorConselho Nacional de Desenvolvimento Científico e Técnologico do BrasilUniversidade Federal de Minas GeraisElsevier2019info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/conferenceObjectSimposioJournalhttp://purl.org/coar/resource_type/c_5794info:ar-repo/semantics/documentoDeConferenciaapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/129571An integer programming approach for the 2-class single-group classification problem; Latin-American Algorithms, Graphs and Optimization Symposium (LAGOS 2019); Belo Horizonte; Brasil; 2019; 321-3311571-0661CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S1571066119300799info:eu-repo/semantics/altIdentifier/doi/10.1016/j.entcs.2019.08.029Internacionalinfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T10:04:09Zoai:ri.conicet.gov.ar:11336/129571instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-03 10:04:09.995CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse |
dc.title.none.fl_str_mv |
An integer programming approach for the 2-class single-group classification problem |
title |
An integer programming approach for the 2-class single-group classification problem |
spellingShingle |
An integer programming approach for the 2-class single-group classification problem Corrêa, Ricardo C. Classification Integer programming Polyhedral combinatorics |
title_short |
An integer programming approach for the 2-class single-group classification problem |
title_full |
An integer programming approach for the 2-class single-group classification problem |
title_fullStr |
An integer programming approach for the 2-class single-group classification problem |
title_full_unstemmed |
An integer programming approach for the 2-class single-group classification problem |
title_sort |
An integer programming approach for the 2-class single-group classification problem |
dc.creator.none.fl_str_mv |
Corrêa, Ricardo C. Blaum, Manuela Marenco, Javier Leonardo Koch, Ivo Valerio Mydlarz, Marcelo |
author |
Corrêa, Ricardo C. |
author_facet |
Corrêa, Ricardo C. Blaum, Manuela Marenco, Javier Leonardo Koch, Ivo Valerio Mydlarz, Marcelo |
author_role |
author |
author2 |
Blaum, Manuela Marenco, Javier Leonardo Koch, Ivo Valerio Mydlarz, Marcelo |
author2_role |
author author author author |
dc.subject.none.fl_str_mv |
Classification Integer programming Polyhedral combinatorics |
topic |
Classification Integer programming Polyhedral combinatorics |
purl_subject.fl_str_mv |
https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
dc.description.none.fl_txt_mv |
Two sets XB, XR ⊆ Rd are linearly separable if their convex hulls are disjoint, implying that a hyperplane separating XB from XR exists. Such a hyperplane provides a method for classifying new points, according to the side of the hyperplane in which the new points lie. In this work we consider a particular case of the 2-class classification problem, which asks to select the maximum number of points from XB and XR in such a way that the selected points are linearly separable. We present an integer programming formulation for this problem, explore valid inequalities for the associated polytope, and develop a cutting plane approach coupled with a lazy-constraints scheme. Fil: Corrêa, Ricardo C.. Universidade Federal Rural Do Rio de Janeiro; Brasil Fil: Blaum, Manuela. Universidad Nacional de General Sarmiento; Argentina Fil: Marenco, Javier Leonardo. Universidad Nacional de General Sarmiento; Argentina Fil: Koch, Ivo Valerio. Universidad Nacional de General Sarmiento; Argentina Fil: Mydlarz, Marcelo. Universidad Nacional de General Sarmiento; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina Latin-American Algorithms, Graphs and Optimization Symposium (LAGOS 2019) Belo Horizonte Brasil Coordenação de Aperfeiçoamento de Pessoal de Nivel Superior Conselho Nacional de Desenvolvimento Científico e Técnologico do Brasil Universidade Federal de Minas Gerais |
description |
Two sets XB, XR ⊆ Rd are linearly separable if their convex hulls are disjoint, implying that a hyperplane separating XB from XR exists. Such a hyperplane provides a method for classifying new points, according to the side of the hyperplane in which the new points lie. In this work we consider a particular case of the 2-class classification problem, which asks to select the maximum number of points from XB and XR in such a way that the selected points are linearly separable. We present an integer programming formulation for this problem, explore valid inequalities for the associated polytope, and develop a cutting plane approach coupled with a lazy-constraints scheme. |
publishDate |
2019 |
dc.date.none.fl_str_mv |
2019 |
dc.type.none.fl_str_mv |
info:eu-repo/semantics/publishedVersion info:eu-repo/semantics/conferenceObject Simposio Journal http://purl.org/coar/resource_type/c_5794 info:ar-repo/semantics/documentoDeConferencia |
status_str |
publishedVersion |
format |
conferenceObject |
dc.identifier.none.fl_str_mv |
http://hdl.handle.net/11336/129571 An integer programming approach for the 2-class single-group classification problem; Latin-American Algorithms, Graphs and Optimization Symposium (LAGOS 2019); Belo Horizonte; Brasil; 2019; 321-331 1571-0661 CONICET Digital CONICET |
url |
http://hdl.handle.net/11336/129571 |
identifier_str_mv |
An integer programming approach for the 2-class single-group classification problem; Latin-American Algorithms, Graphs and Optimization Symposium (LAGOS 2019); Belo Horizonte; Brasil; 2019; 321-331 1571-0661 CONICET Digital CONICET |
dc.language.none.fl_str_mv |
eng |
language |
eng |
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Internacional |
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Elsevier |
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Elsevier |
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