Abstract

Low-dimensional feature representation with enhanced discriminatory power of paramount importance to face recognition systems. Most of traditional linear discriminant analysis (LDA)-based methods suffer from the disadvantage that their optimality criteria are not directly related to the classification ability of the obtained feature representation. Moreover, their classification accuracy is affected by the “small sample size” (SSS) problem which is often encountered in face recognition tasks. In this paper, we propose a new technique coined Relevance-Weighted Two Dimensional Linear Discriminant Analysis (RW2DLDA). Its over comes the singularity problem implicitly, while achieving efficiency. Moreover, a weight discriminant hyper plane is used in the between class scatter matrix, and RW method is used in the within class scatter matrix to weigh the information to resolve confusable data in these classes. Experiments on two well known facial databases show the effectiveness of the proposed method. Comparisons with other LDA-based methods show that our method improves the LDA classification performance.

Highlights

  • Linear Discriminant Analysis [1,2,3,4,5] is a well-known method which projects the data onto a lower-dimensional vector space such that the ratio of the between-class distance to the within-class distance is maximized, achieving maximum discrimination

  • Their classification accuracy is affected by the “small sample size” (SSS) problem which is often encountered in face recognition tasks

  • We propose a new technique coined Relevance-Weighted Two Dimensional Linear Discriminant Analysis (RW2DLDA)

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Summary

Introduction

Linear Discriminant Analysis [1,2,3,4,5] is a well-known method which projects the data onto a lower-dimensional vector space such that the ratio of the between-class distance to the within-class distance is maximized, achieving maximum discrimination. The optimal projection can be readily computed by applying the eigenobjective functions, such as face recognition, all scatter matrices in question can be singular since the data is from a very high-dimensional space, and in general, the dimension exceeds the number of data points. This is known as the under sampled or singularity problem [6]. Face Recognition Systems Using Relevance Weighted Two Dimensional Linear Discriminant Analysis Algorithm 131 already well separated classes while causing unnecessarily overlap of neighbouring classes To solve this problem Loog et al [7] have proposed an extended criterion by introducing a weighting scheme in the estimation of between-class scatter matrix. This algorithm cannot be directly applied for face recognition because of the singularity of the weighted within class scatter matrix

Subspace LDA Method
N c Ij x i j j 1 i 1
Relevance Weighted 2DLDA
The Experiments on the ORL Face Base
Experiment on the Yale Database
Findings
Conclusion
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