Please use this identifier to cite or link to this item: https://doi.org/10.1109/ICCVW.2009.5457708
Title: Identity and variation spaces: Revisiting the fisher linear discriminant
Authors: Zhang, S.
Sim, T. 
Yeh, M.-C.
Issue Date: 2009
Source: Zhang, S.,Sim, T.,Yeh, M.-C. (2009). Identity and variation spaces: Revisiting the fisher linear discriminant. 2009 IEEE 12th International Conference on Computer Vision Workshops, ICCV Workshops 2009 : 123-130. ScholarBank@NUS Repository. https://doi.org/10.1109/ICCVW.2009.5457708
Abstract: The Fisher Linear Discriminant (FLD) is commonly used in classification to find a subspace that maximally separates class patterns according to the Fisher Criterion. It was previously proven that a pre-whitening step can be used to truly optimize the Fisher Criterion. In this paper, we study the theoretical properties of the subspaces induced by this whitened FLD. Of the four subspaces induced, two are most important for classification and representation of patterns. We call these Identity Space and Variation Space. We show that only the between-class variation remains in Identity Space, and only the within-class variation remains in Variation Space. Both spaces can be used for decomposition and representation of class data. Moreover, we give sufficient conditions for these spaces to exist. Finally, we also run experiments to show how Identity and Variation Spaces may be used for classification and image synthesis. ©2009 IEEE.
Source Title: 2009 IEEE 12th International Conference on Computer Vision Workshops, ICCV Workshops 2009
URI: http://scholarbank.nus.edu.sg/handle/10635/40896
ISBN: 9781424444427
DOI: 10.1109/ICCVW.2009.5457708
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