计算机科学 ›› 2021, Vol. 48 ›› Issue (11A): 351-359.doi: 10.11896/jsjkx.210100173

• 图像处理& 多媒体技术 • 上一篇    下一篇

基于局部加权表示的线性回归分类器及人脸识别

杨章静1,2, 王文博1, 黄璞1, 张凡龙1, 王昕1   

  1. 1 南京审计大学信息工程学院 南京211815
    2 南京审计大学江苏省审计信息工程重点实验室 南京211815
  • 出版日期:2021-11-10 发布日期:2021-11-12
  • 通讯作者: 黄璞(huangpu3355@163.com)
  • 作者简介:yzj@nau.edu.cn
  • 基金资助:
    国家自然科学基金(U1831127);江苏省产学研合作项目(BY2020033);江苏省高校“青蓝工程”优秀青年骨干教师培养对象

Local Weighted Representation Based Linear Regression Classifier and Face Recognition

YANG Zhang-jing1,2, WANG Wen-bo1, HUANG Pu1, ZHANG Fan-long1, WANG Xin1   

  1. 1 School of Information Engineering,Nanjing Audit University,Nanjing 211815,China
    2 Jiangsu Key Laboratory of Auditing Information Engineering,Nanjing Audit University,Nanjing 211815,China
  • Online:2021-11-10 Published:2021-11-12
  • About author:YANG Zhang-jing ,born in 1979,associate professor.His main research inte-rests include computer vision and pattern recognition,etc.
    HUANG Pu,born in 1985,associate professor.His main research interests include machine learning and pattern recognition,etc.
  • Supported by:
    National Natural Science Foundation of China(U1831127),Industry University Research Cooperation Project in Jiangsu Province(BY2020033) and Qinglan Projects of Colleges and Universities of Jiangsu Province.

摘要: 线性回归分类器(Linear Regression Classifier,LRC)是一种有效的图像分类算法,然而LRC未关注数据的局部结构信息,忽略了类内样本之间的差异性,因此当人脸图像存在表情、光照、角度、遮挡等变化时分类性能不佳。针对此问题,文中提出了一种基于局部加权表示的线性回归分类器(Local WeightedRepresentation based Linear Regression Classifier,LWR-LRC)。LWR-LRC首先以测试样本与所有样本的相似性为度量,构建每类样本的加权代表样本;然后将测试样本分解为加权代表样本的线性组合;最后将测试样本分类到重构系数最大的类别。LWR-LRC考虑了样本的局部结构,构建了每类样本的最优代表样本,使用代表样本进行计算,在提高鲁棒性同时,大幅缩短了计算时间。在AR,CMU PIE,FERET和GT数据集上的实验的结果表明,LWR-LRC与NNC,SRC,LRC,CRC,MRC,LMRC等算法相比,在性能上有很强的优越性。

关键词: 流形学习, 人脸识别, 数据表示, 线性回归

Abstract: Linear regression classifier (LRC) is an effective image classification algorithm.However,LRC does not pay attention to the local structure information of data and ignores the differences among samples within the class,and the performance may degrade when the facial images contain variations in expression,illumination,angle and occlusion.To address this problem,a linear regression classifier based on local weighted representation (LWR-LRC) is proposed.Firstly,LWR-LRC constructs a weighted representative sample for each class of samples based on the similarity between test samples and all samples,then decomposes the test samples into linear combinations of weighted representative samples,finally classifies the test samples into the category with the largest reconstruction coefficient.LWR-LRC considers the local structure of samples,constructs the optimal representative samples of each class of samples,and uses the representative samples to calculate,which improves the robustness and greatly time cost.The experiments on AR,CMU PIE,FERET and GT datasets show that LWR-LRC is superior to NNC,SRC,LRC,CRC,MRC and LMRC.

Key words: Data representation, Face recognition, Linear regression, Manifold learning

中图分类号: 

  • TP391.4
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