Functional-bandwidth kernel for Support Vector Machine with Functional Data_An alternating optimization algorithm

Functional Data Analysis (FDA) is devoted to the study of data which are functions. Support Vector Ma- chine (SVM) is a benchmark tool for classification, in particular, of functional data. SVM is frequently used with a kernel (e.g.: Gaussian) which involves a scalar bandwidth parameter. In this pap...

Descripción completa

Detalles Bibliográficos
Autores: Blanquero Bravo, Rafael, Carrizosa Priego, Emilio José, Jiménez Cordero, María Asunción, Martín Barragán, Belén
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2018
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/107638
Acceso en línea:https://hdl.handle.net/11441/107638
https://doi.org/10.1016/j.ejor.2018.11.024
Access Level:acceso abierto
Palabra clave:Data mining
Functional Data classification
Parameter tuning
SVM
Functional bandwidth
Descripción
Sumario:Functional Data Analysis (FDA) is devoted to the study of data which are functions. Support Vector Ma- chine (SVM) is a benchmark tool for classification, in particular, of functional data. SVM is frequently used with a kernel (e.g.: Gaussian) which involves a scalar bandwidth parameter. In this paper, we pro- pose to use kernels with functional bandwidths. In this way, accuracy may be improved, and the time intervals critical for classification are identified. Tuning the functional parameters of the new kernel is a challenging task expressed as a continuous optimization problem, solved by means of a heuristic. Our experiments with benchmark data sets show the advantages of using functional parameters and the ef- fectiveness of our approach.