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    A unifying framework for spectral analysis based dimensionality reduction

    Zhang, T. and Tao, D. and Li, Xuelong and Yang, T. (2008) A unifying framework for spectral analysis based dimensionality reduction. In: UNSPECIFIED (ed.) International Joint Conference on Neural Networks. New York, USA: Institute of Electrical and Electronics Engineers, pp. 1670-1677. ISBN 9781424418206.

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    Past decades, numerous spectral analysis based algorithms have been proposed for dimensionality reduction, which plays an important role in machine learning and artificial intelligence. However, most of these existing algorithms are developed intuitively and pragmatically, i.e., on the base of the experience and knowledge of experts for their own purposes. Therefore, it will be more informative to provide some a systematic framework for understanding the common properties and intrinsic differences in the algorithms. In this paper, we propose such a framework, i.e., ldquopatch alignmentrdquo, which consists of two stages: part optimization and whole alignment. With the proposed framework, various algorithms including the conventional linear algorithms and the manifold learning algorithms are reformulated into a unified form, which gives us some new understandings on these algorithms.


    Item Type: Book Section
    School: Birkbeck Faculties and Schools > Faculty of Science > School of Computing and Mathematical Sciences
    Depositing User: Sarah Hall
    Date Deposited: 12 Jul 2013 13:39
    Last Modified: 09 Aug 2023 12:33


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