A modified non-negative matrix factorization algorithm for face recognition

Yun Xue*, Chong Sze TONG, Wen Sheng Chen, Weipeng Zhang, Zhenyu He

*Corresponding author for this work

Research output: Chapter in book/report/conference proceedingConference proceedingpeer-review

28 Citations (Scopus)


In this paper, we propose a new variation of the Nonnegative Matrix Factorization (NMF) for face recognition. The original NMF algorithm is distinguished from the other methods of pattern recognition by its non-negativity constraints which lead to a parts-based representation because they allow only additive combinations. However, it should be considered as an unsupervised method since class information in the training set is not used. To take advantage of more information in the training images and improve the performance for classification problem, we integrate the Fisher Linear Discriminant Analysis into the NMF algorithm, which results in a novel Modified Non-negative Matrix Factorization algorithm. Our new update rule guarantees the non-negativity for all the coefficients and hence preserve the intuitive meaning for the base vectors and weight vectors while facilitating the supervised learning of within-class information. Our new technique is tested on a well-known face database: the ORL Face Database. The experimental results are very encouraging and outperformed traditional techniques including the original NMF and the Eigenface method.

Original languageEnglish
Title of host publicationProceedings - 18th International Conference on Pattern Recognition, ICPR 2006
Number of pages4
Publication statusPublished - 2006
EventThe 18th International Conference on Pattern Recognition, ICPR 2006 - Hong Kong Convention and Exhibition Center, Hong Kong
Duration: 20 Aug 200624 Aug 2006
https://www.comp.hkbu.edu.hk/~icpr06/index.php (Link to conference website)
https://ieeexplore.ieee.org/xpl/conhome/11159/proceeding (Link to conference proceedings)

Publication series

NameProceedings - International Conference on Pattern Recognition
ISSN (Print)1051-4651


ConferenceThe 18th International Conference on Pattern Recognition, ICPR 2006
Country/TerritoryHong Kong
Internet address

Scopus Subject Areas

  • Computer Vision and Pattern Recognition

User-Defined Keywords

  • Eigenface
  • Fisher linear discriminant analysis
  • Nonnegative matrix factorization


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