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DLDA/QR: A Robust Direct LDA Algorithm for Face Recognition and Its Theoretical Foundation

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Book cover Advances in Knowledge Discovery and Data Mining (PAKDD 2007)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 4426))

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Abstract

Feature extraction is one of the hot topics in face recognition. However, many face extraction methods will suffer from the “small sample size” problem, such as Linear Discriminant Analysis (LDA). Direct Linear Discriminant Analysis (DLDA) is an effective method to address this problem. But conventional DLDA algorithm is often computationally expensive and not scalable. In this paper, DLDA is analyzed from a new viewpoint via QR decomposition and an efficient and robust method named DLDA/QR algorithm is proposed. The proposed algorithm achieves high efficiency by introducing the QR decomposition on a small-size matrix, while keeping competitive classification accuracy. Experimental results on ORL face database demonstrate the effectiveness of the proposed method.

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References

  1. Samal, A., Iyengar, P.A.: Automatic recognition and analysis of human faces and facial expressions: a survey. Pattern Recognition 25(1), 65–77 (1992)

    Article  Google Scholar 

  2. Zhao, W., Chellappa, R., Phillips, J.: Subspace linear discriminant analysis for face recognition. Technical Report, CS-TR4009, Univ. of Maryland (1999)

    Google Scholar 

  3. Zhao, W., et al.: Face recognition: A literature survey. ACM Computing Surveys 35(4), 395–458 (2003)

    Article  Google Scholar 

  4. Fukunaga, K.: Introduction to statistical pattern recognition, 2nd edn. Academic Press, Boston (1990)

    MATH  Google Scholar 

  5. Fisher, R.: The use of multiple measures in taxonomic problems. Ann. Eugenics 7, 179–188 (1936)

    Google Scholar 

  6. Belhumeur, P.N., Hespanha, J.P., Kriengman, D.J.: Eigenfaces vs. Fisherfaces: Recognition using class specific linear projection. IEEE Trans. Pattern Analysis and Machine Intelligence 19(7), 711–720 (1997)

    Article  Google Scholar 

  7. Yang, J., et al.: KPCA plus LDA: A Complete Kernel Fisher Discriminant Framework for Feature extraction and Recognition. IEEE Trans. Pattern Analysis and Machine Intelligence 27(2), 230–244 (2005)

    Article  Google Scholar 

  8. Yang, J., Yang, J.Y.: Why can LDA be performed in PCA transformed space? Pattern Recognition 36, 563–566 (2003)

    Article  Google Scholar 

  9. Tian, Q., et al.: Image classification by the foley-sammon transform. Opt. Eng. 25(7), 834–840 (1986)

    Google Scholar 

  10. Hong, Z.Q., Yang, J.Y.: Optimal discriminant plane for a small number of samples and design method of classifier on the plane. Pattern Recognition 24(4), 317–324 (1991)

    Article  MathSciNet  Google Scholar 

  11. Cheng, Y.Q., Zhuang, Y.M., Yang, J.Y.: Optimal fisher discriminant analysis using the rank decomposition. Pattern Recognition 25(1), 101–111 (1992)

    Article  MathSciNet  Google Scholar 

  12. Swets, D.L., Weng, J.: Using discriminant eigenfeatures for image retrieval. IEEE Trans. on Pattern Analysis and Machine Intelligence 18(8), 831–836 (1996)

    Article  Google Scholar 

  13. Chen, L.F., et al.: A New LDA-based Face Recognition System Which Can Solve the Small Sample Size Problem. Pattern Recognition 33(10), 1713–1726 (2000)

    Article  Google Scholar 

  14. Yang, J., Yu, H., Kunz, W.: An Efficient LDA Algorithm for Face Recognition. In: International Conference on Automation, Robotics, and Computer Vision (ICARCV’2000), Singapore (December 2000)

    Google Scholar 

  15. Zheng, Y., et al.: Effective classification image space which can solve small sample size problem. In: Proc. Of. the 18th Int. Conf. on Pattern Recognition (ICPR’06), vol. 3, pp. 861–864 (2006)

    Google Scholar 

  16. Ye, J.P., Li, Q.: A Two-Stage Linear Discriminant Analysis via QR-Decomposition. IEEE Trans. Pattern Anal. Machine Intell. 2(6), 929–941 (2005)

    Google Scholar 

  17. Golub, G.H., Van Loan, C.F.: Matrix Computations, 3rd edn. The Johns Hopkins Univ. Press, Baltimore (1996)

    MATH  Google Scholar 

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Zhi-Hua Zhou Hang Li Qiang Yang

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© 2007 Springer Berlin Heidelberg

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Zheng, YJ., Guo, ZB., Yang, J., Wu, XJ., Yang, JY. (2007). DLDA/QR: A Robust Direct LDA Algorithm for Face Recognition and Its Theoretical Foundation. In: Zhou, ZH., Li, H., Yang, Q. (eds) Advances in Knowledge Discovery and Data Mining. PAKDD 2007. Lecture Notes in Computer Science(), vol 4426. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-71701-0_37

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  • DOI: https://doi.org/10.1007/978-3-540-71701-0_37

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-71700-3

  • Online ISBN: 978-3-540-71701-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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