Back to Search Start Over

Novel multiclass classifiers based on the minimization of the within-class variance

Authors :
Kotsia, Irene
Zafeiriou, Stefanos
Pitas, Ioannis
Source :
IEEE Transactions on Neural Networks. Jan, 2009, Vol. 20 Issue 1, p14, 21 p.
Publication Year :
2009

Abstract

In this paper, a novel class of multiclass classifiers inspired by the optimization of Fisher discriminant ratio and the support vector machine (SVM) formulation is introduced. The optimization problem of the so-called minimum within-class variance multiclass classifiers (MWCVMC) is formulated and solved in arbitrary Hilbert spaces, defined by Mercer's kernels, in order to find multiclass decision hyperplanes/surfaces. Afterwards, MWCVMCs are solved using indefinite kernels and dissimilarity measures via pseudo-Euclidean embedding. The power of the proposed approach is first demonstrated in the facial expression recognition of the seven basic facial expressions (i.e., anger, disgust, fear, happiness, sadness, and surprise plus the neutral state) problem in the presence of partial facial occlusion by using a pseudo-Euclidean embedding of Hausdorff distances and the MWCVMC. The experiments indicated a recognition accuracy rate achieved up to 99%. The MWCVMC classifiers are also applied to face recognition and other classification problems using Mercer's kernels. Index Terms--Face recognition, facial expression recognition, Fisher linear discriminant analysis (FLDA), Mercer's kernels, multiclass classifiers, pseudo-Euclidean embedding, support vector machines (SVMs).

Details

Language :
English
ISSN :
10459227
Volume :
20
Issue :
1
Database :
Gale General OneFile
Journal :
IEEE Transactions on Neural Networks
Publication Type :
Academic Journal
Accession number :
edsgcl.192436977