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    The matrix form for weighted linear discriminant analysis and fractional linear discriminant analysis

    133833_133833.pdf (300.1Kb)
    Access Status
    Open access
    Authors
    Xu, T.
    Lu, C.
    Liu, Wan-quan
    Date
    2009
    Type
    Conference Paper
    
    Metadata
    Show full item record
    Citation
    Xu, T. and Lu, C. and Liu, Wan-quan. 2009. The matrix form for weighted linear discriminant analysis and fractional linear discriminant analysis, in Lai, L. L. (ed), ICMLC 2009, Jul 12 2009, pp. 1621-1627.Baoding, Hebei, China: IEEE.
    Source Title
    Proceedings of the 8th International conference on Machine learning and Cybernetics
    Source Conference
    ICMLC 2009
    Additional URLs
    http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=5212309
    ISBN
    9781424437030
    Faculty
    School of Science and Computing
    Department of Computing
    Faculty of Science and Engineering
    Remarks

    Copyright © 2009 IEEE This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder.

    URI
    http://hdl.handle.net/20.500.11937/17966
    Collection
    • Curtin Research Publications
    Abstract

    In this paper we will extend the recently proposed weighted linear discriminant analysis (W_LDA) and fraction-step linear discriminant analysis (F_LDA) from one dimension vector form to the case of two dimension matrix form, which are called weighted two dimensional linear discriminant analysis (W_2DLDA) and fraction-step two dimension linear discriminant analysis (F_2DLDA), respectively. The motivation of this work is based on the recent research results on two dimensional principal component analysis (2DPCA) and 2DLDA showing that the two dimensional algorithms can save computational costs significantly and thus improve the classifiers performances. First, we derived these numerical algorithms in matrix form and then we implement these two new algorithms on ORL and YALE face databases. The experimentation results show that W_2DLDA produces the best performance among F_2DLDA, F_LDA and W_LDA.

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