Sparse solution of least-squares twin multi-class support vector machine using ℓ and ℓ-norm for classification and feature selection.

Journal: Neural networks : the official journal of the International Neural Network Society
Published Date: Aug 1, 2023

Abstract

In the realm of multi-class classification, the twin K-class support vector classification (Twin-KSVC) generates ternary outputs {-1,0,+1} by evaluating all training data in a "1-versus-1-versus-rest" structure. Recently, inspired by the least-squares version of Twin-KSVC and Twin-KSVC, a new multi-class classifier called improvements on least-squares twin multi-class classification support vector machine (ILSTKSVC) has been proposed. In this method, the concept of structural risk minimization is achieved by incorporating a regularization term in addition to the minimization of empirical risk. Twin-KSVC and its improvements have an influence on classification accuracy. Another aspect influencing classification accuracy is feature selection, which is a critical stage in machine learning, especially when working with high-dimensional datasets. However, most prior studies have not addressed this crucial aspect. In this study, motivated by ILSTKSVC and the cardinality-constrained optimization problem, we propose ℓ-norm least-squares twin multi-class support vector machine (PLSTKSVC) with 0

Authors

  • Hossein Moosaei
    Department of Mathematics, Faculty of Science, University of Bojnord, Iran.
  • Milan Hladík
    Department of Applied Mathematics, Faculty of Mathematics and Physics, Charles University, Prague, Czech Republic. Electronic address: hladik@kam.mff.cuni.cz.

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