@inproceedings{c620e2d02e6d45b69830ba98bc22b2d1,
title = "A Maximal Margin Hypersphere SVM",
abstract = "In this work we propose a generalization of the Support Vector Machine (SVM) method in which the separator is a curve, but the concept of margin and maximization of the margin is still present. The idea of using different functions for the separation has been explored in particular in the scope of hyperspheres. However, most of these proposals use two spheres, using concepts different from maximal margin or one sphere but with a poor performance when data from the classes have a linear shape. In this paper we present a formulation of the linear SVM that generalizes it to a spherical separation shape, but still maximizing the margin. A linear relaxation of this quadratic formulation is also presented. The performance of these two formulations for classification purpose is tested and the results are encouraging.",
keywords = "Automatic classification, Non-linear SVM, SVM",
author = "Rui Malha and Paula Amaral",
note = "Funding Information: info:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDB%2F00297%2F2020/PT# Publisher Copyright: {\textcopyright} 2021, Springer Nature Switzerland AG.; 21st International Conference on Computational Science and Its Applications, ICCSA 2021 ; Conference date: 13-09-2021 Through 16-09-2021",
year = "2021",
doi = "10.1007/978-3-030-86976-2_21",
language = "English",
isbn = "978-3-030-86975-5",
series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",
publisher = "Springer",
pages = "304--319",
editor = "Osvaldo Gervasi and Beniamino Murgante and Sanjay Misra and Chiara Garau and Ivan Ble{\v c}i{\'c} and David Taniar and Apduhan, {Bernady O.} and Rocha, {Ana Maria} and Eufemia Tarantino and Torre, {Carmelo Maria}",
booktitle = "Computational Science and Its Applications – ICCSA 2021: 21st International Conference, Cagliari, Italy, September 13–16, 2021, Proceedings, Part V",
address = "Netherlands",
}