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Discriminative Locality Alignment

  • Tianhao Zhang
  • Dacheng Tao
  • Jie Yang
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5302)

Abstract

Fisher’s linear discriminant analysis (LDA), one of the most popular dimensionality reduction algorithms for classification, has three particular problems: it fails to find the nonlinear structure hidden in the high dimensional data; it assumes all samples contribute equivalently to reduce dimension for classification; and it suffers from the matrix singularity problem. In this paper, we propose a new algorithm, termed Discriminative Locality Alignment (DLA), to deal with these problems. The algorithm operates in the following three stages: first, in part optimization, discriminative information is imposed over patches, each of which is associated with one sample and its neighbors; then, in sample weighting, each part optimization is weighted by the margin degree, a measure of the importance of a given sample; and finally, in whole alignment, the alignment trick is used to align all weighted part optimizations to the whole optimization. Furthermore, DLA is extended to the semi-supervised case, i.e., semi-supervised DLA (SDLA), which utilizes unlabeled samples to improve the classification performance. Thorough empirical studies on the face recognition demonstrate the effectiveness of both DLA and SDLA.

Keywords

Linear Discriminant Analysis Face Image Locality Preserve Projection Unlabeled Sample Neighbor Sample 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2008

Authors and Affiliations

  • Tianhao Zhang
    • 1
  • Dacheng Tao
    • 2
    • 3
  • Jie Yang
    • 1
  1. 1.Institute of Image Processing and Pattern RecognitionShanghai Jiao Tong UniversityShanghaiChina
  2. 2.School of Computer EngineeringNanyang Technological UniversitySingapore
  3. 3.College of Computer ScienceZhejiang UniversityChina

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