Multi-group support vector machines with measurement costs a biobjective approach

Support Vector Machine has shown to have good performance in many practical classification settings. In this paper we propose, for multi-group classification, a biobjective optimization model in which we consider not only the generalization ability (modelled through the margin maximization), but als...

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Detalles Bibliográficos
Autores: Carrizosa Priego, Emilio José, Martín Barragán, Belén, Romero Morales, María Dolores
Tipo de recurso: artículo
Estado:Versión enviada para evaluación y publicación
Fecha de publicación:2008
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/44825
Acceso en línea:http://hdl.handle.net/11441/44825
https://doi.org/10.1016/j.dam.2007.05.060
Access Level:acceso abierto
Palabra clave:Multi-group classification
Pareto optimality
Biobjective mixed integer programming
Feature cost
Support vector machines
Descripción
Sumario:Support Vector Machine has shown to have good performance in many practical classification settings. In this paper we propose, for multi-group classification, a biobjective optimization model in which we consider not only the generalization ability (modelled through the margin maximization), but also costs associated with the features. This cost is not limited to an economical payment, but can also refer to risk, computational effort, space requirements, etc. We introduce a biobjective mixed integer problem, for which Pareto optimal solutions are obtained. Those Pareto optimal solutions correspond to different classification rules, among which the user would choose the one yielding the most appropriate compromise between the cost and the expected misclassification rate.