Skip to main content

Localized versus Locality-Preserving Subspace Projections for Face Recognition

Abstract

Three different localized representation methods and a manifold learning approach to face recognition are compared in terms of recognition accuracy. The techniques under investigation are (a) local nonnegative matrix factorization (LNMF); (b) independent component analysis (ICA); (c) NMF with sparse constraints (NMFsc); (d) locality-preserving projections (Laplacian faces). A systematic comparative analysis is conducted in terms of distance metric used, number of selected features, and sources of variability on AR and Olivetti face databases. Results indicate that the relative ranking of the methods is highly task-dependent, and the performances vary significantly upon the distance metric used.

[123456789101112131415161718192021222324252627282930]

References

  1. Kong SG, Heo J, Abidi BR, Paik J, Abidi MA: Recent advances in visual and infrared face recognition—a review. Computer Vision and Image Understanding 2005,97(1):103-135. 10.1016/j.cviu.2004.04.001

    Article  Google Scholar 

  2. Zhao W, Chellappa R, Phillips PJ, Rosenfeld A: Face recognition: a literature survey. ACM Computing Surveys 2003,35(4):399-458. 10.1145/954339.954342

    Article  Google Scholar 

  3. Lu J, Plataniotis KN, Venetsanopoulos AN: Face recognition using kernel direct discriminant analysis algorithms. IEEE Transactions on Neural Networks 2003,14(1):117-126. 10.1109/TNN.2002.806629

    Article  Google Scholar 

  4. Yang M-H: Kernel eigenfaces vs. kernel fisherfaces: face recognition using kernel methods. Proceedings of the 5th IEEE International Conference on Automatic Face and Gesture Recognition (FGR '02), May 2002, Washington, DC, USA 215-220.

    Chapter  Google Scholar 

  5. Yang J, Frangi AF, Yang J-Y, Zhang D, Jin Z: KPCA plus LDA: a complete kernel fisher discriminant framework for feature extraction and recognition. IEEE Transactions on Pattern Analysis and Machine Intelligence 2005,27(2):230-244.

    Article  Google Scholar 

  6. Yang J, Gao X, Zhang D, Yang J-Y: Kernel ICA: an alternative formulation and its application to face recognition. Pattern Recognition 2005,38(10):1784-1787. 10.1016/j.patcog.2005.01.023

    Article  MATH  Google Scholar 

  7. Heisele B, Ho P, Wu J, Poggio T: Face recognition: component-based versus global approaches. Computer Vision and Image Understanding 2003,91(1-2):6-21. 10.1016/S1077-3142(03)00073-0

    Article  Google Scholar 

  8. Lucey S, Chen T: A GMM parts based face representation for improved verification through relevance adaptation. Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR '04), June-July 2004, Washington, DC, USA 2: 855-861.

    Google Scholar 

  9. He X, Yan S, Hu Y, Niyogi P, Zhang H-J: Face recognition using Laplacianfaces. IEEE Transactions on Pattern Analysis and Machine Intelligence 2005,27(3):328-340.

    Article  Google Scholar 

  10. Zhang J, Li SZ, Wang J: Manifold learning and applications in recognition. In Intelligent Multimedia Processing with Soft Computing. Springer, Heidelberg, Germany; 2004.

    Google Scholar 

  11. FRVT 2002 2004: Evaluation Report, http://www.frvt.org

  12. Li SZ, Hou XW, Zhang HJ, Cheng QS: Learning spatially localized, parts-based representation. Proceedings of IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR '01), December 2001, Kauai, Hawaii, USA 1: 207-212.

    Google Scholar 

  13. Bartlett MS, Movellan JR, Sejnowski TJ: Face recognition by independent component analysis. IEEE Transactions on Neural Networks 2002,13(6):1450-1464. 10.1109/TNN.2002.804287

    Article  Google Scholar 

  14. Hoyer PO: Non-negative matrix factorization with sparseness constraints. Journal of Machine Learning Research 2004, 5: 1457-1469.

    MathSciNet  MATH  Google Scholar 

  15. Lee DD, Seung HS: Learning the parts of objects by non-negative matrix factorization. Nature 1999,401(6755):788-791. 10.1038/44565

    Article  Google Scholar 

  16. Paatero P, Tapper U: Positive matrix factorization: a non-negative factor model with optimal utilization of error estimates of data values. Environmetrics 1994,5(2):111-126. 10.1002/env.3170050203

    Article  Google Scholar 

  17. Barlow HB: Unsupervised learning. Neural Computation 1989,1(3):295-311. 10.1162/neco.1989.1.3.295

    Article  MathSciNet  Google Scholar 

  18. Bell AJ, Sejnowski TJ: An information-maximization approach to blind separation and blind deconvolution. Neural Computation 1995,7(6):1129-1159. 10.1162/neco.1995.7.6.1129

    Article  Google Scholar 

  19. Draper BA, Baek K, Bartlett MS, Beveridge JR: Recognizing faces with PCA and ICA. Computer Vision and Image Understanding 2003,91(1-2):115-137. 10.1016/S1077-3142(03)00077-8

    Article  Google Scholar 

  20. Tenenbaum JB, de Silva V, Langford JC: A global geometric framework for nonlinear dimensionality reduction. Science 2000,290(5500):2319-2323. 10.1126/science.290.5500.2319

    Article  Google Scholar 

  21. Roweis ST, Saul LK: Nonlinear dimensionality reduction by locally linear embedding. Science 2000,290(5500):2323-2326. 10.1126/science.290.5500.2323

    Article  Google Scholar 

  22. Belkin M, Niyogi P: Laplacian eigenmaps for dimensionality reduction and data representation. Neural Computation 2003,15(6):1373-1396. 10.1162/089976603321780317

    Article  MATH  Google Scholar 

  23. Bengio Y, Paiement J-F, Vincent P, Delalleau O, Le Roux N, Ouimet M: Out-of-sample extensions for LLE, isomap, MDS, eigenmaps, and spectral clustering. Proceedings of the Annual Conference on Neural Information Processing Systems 16 (NIPS '03), December 2003, Vancouver, Canada 177-184.

    Google Scholar 

  24. He X, Niyogi P: Locality preserving projections. Proceedings of the Annual Conference on Neural Information Processing Systems 16 (NIPS '03), December 2003, Vancouver, Canada

    Google Scholar 

  25. Kokiopoulou E, Saad Y: Face recognition using OPRA -faces. Proceedings of the 4th International Conference on Machine Learning and Applications (ICMLA '05), December 2005, Los Angeles, Calif, USA 2005: 69-74.

    Article  Google Scholar 

  26. Guillamet D, Vitrià J: Classifying faces with non-negative matrix factorization. Proceedings of the 5th Catalan Conference on Artificial Intelligence (CCIA '02), 2002, Castelló de la Plana, Spain 2504: 24-31.

    Google Scholar 

  27. Penev PS, Atick JJ: Local feature analysis: a general statistical theory for object representation. Network: Computation in Neural Systems 1996,7(3):477-500. 10.1088/0954-898X/7/3/002

    Article  MATH  Google Scholar 

  28. Moghaddam B, Pentland A: Probabilistic visual learning for object representation. IEEE Transactions on Pattern Analysis and Machine Intelligence 1997,19(7):696-710. 10.1109/34.598227

    Article  Google Scholar 

  29. Bowyer KW, Phillips PJ: Empirical Evaluation Techniques in Computer Vision. Wiley-IEEE Computer Society Press, Hoboken, NJ, USA; 1998.

    MATH  Google Scholar 

  30. Donoho D, Stodden V: When does non-negative matrix factorization give a correct decomposition into parts? Proceedings of the Annual Conference onNeural Information Processing Systems 16 (NIPS '03), December 2003, Vancouver, Canada

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to IulianB Ciocoiu.

Rights and permissions

Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Reprints and permissions

About this article

Cite this article

Ciocoiu, I., Costin, H. Localized versus Locality-Preserving Subspace Projections for Face Recognition. J Image Video Proc 2007, 017173 (2007). https://doi.org/10.1155/2007/17173

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1155/2007/17173

Keywords