Heuristic approaches for support vector machines with the ramp loss

Recently, Support Vector Machines with the ramp loss (RLM) have attracted attention from the computational point of view. In this technical note, we propose two heuristics, the first one based on solving the continuous relaxation of a Mixed Integer Nonlinear formulation of the RLM and the second one...

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Bibliographic Details
Authors: Carrizosa Priego, Emilio José; Nogales Gómez, Amaya; Romero Morales, María Dolores
Format: Article
Status:Submitted version
Publication date:2014
Country:España
Institution:Universidad de Sevilla (US)
Repository:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/44819
Online Access:http://hdl.handle.net/11441/44819
https://doi.org/10.1007/s11590-013-0630-9
Access Level:Open access
Keyword:Support vector machines
Ramp loss
Mixed integer nonlinear programming
Heuristics
Description
Summary:Recently, Support Vector Machines with the ramp loss (RLM) have attracted attention from the computational point of view. In this technical note, we propose two heuristics, the first one based on solving the continuous relaxation of a Mixed Integer Nonlinear formulation of the RLM and the second one based on the training of an SVM classifier on a reduced dataset identified by an integer linear problem. Our computational results illustrate the ability of our heuristics to handle datasets of much larger size than those previously addressed in the literature.