基于局部均值的广义散度差无监督鉴别分析

摘要

To effectively use the local information in feature extraction and improve the robustness, and simultaneously consider the high-dimensional small sample size problem in face recognition application, a method called generalized scatter difference unsupervised discriminant analysis based on the local mean is proposed. It utilizes the difference of between non-local mean scatter and C times local mean scatter as the discriminant function, so that the local information of sample distribution not only is preserved, but the problem that the local mean scatter may be singular is avoided. Besides, the recognition rate curves of the proposed method with the variation of model parameter C are illustrated. Experiments on YALE and FERET face image database validate its effectiveness.%为了将局部信息有效地运用到特征抽取并提高算法的鲁棒性,同时考虑到在人脸识别应用中出现的高维小样本问题,提出了一种基于局部均值的广义散度差无监督鉴别分析.该方法利用样本的非局部均值散度与C倍的局部均值散度之差作为鉴别函数,不仅保留了样本分布的局部信息,而且避免了局部均值散度可能奇异的问题,并给出了算法的识别率随模型参数C变化的曲线.YALE和FERET人脸数据库上的实验结果表明了该方法的有效性.