Multiclass linear dimension reduction by weighted pairwise Fisher criteria

M. Loog, R.P.W. Duin, R. Haeb-Umbach, IEEE Transactions on Pattern Analysis and Machine Intelligence 23 (2001) 762–766.

Journal Article | English
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Abstract
We derive a class of computationally inexpensive linear dimension reduction criteria by introducing a weighted variant of the well-known K-class Fisher criterion associated with linear discriminant analysis (LDA). It can be seen that LDA weights contributions of individual class pairs according to the Euclidean distance of the respective class means. We generalize upon LDA by introducing a different weighting function
Publishing Year
Journal Title
IEEE Transactions on Pattern Analysis and Machine Intelligence
Volume
23
Issue
7
Page
762-766
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Loog M, Duin RPW, Haeb-Umbach R. Multiclass linear dimension reduction by weighted pairwise Fisher criteria. IEEE Transactions on Pattern Analysis and Machine Intelligence. 2001;23(7):762-766. doi:10.1109/34.935849
Loog, M., Duin, R. P. W., & Haeb-Umbach, R. (2001). Multiclass linear dimension reduction by weighted pairwise Fisher criteria. IEEE Transactions on Pattern Analysis and Machine Intelligence, 23(7), 762–766. https://doi.org/10.1109/34.935849
@article{Loog_Duin_Haeb-Umbach_2001, title={Multiclass linear dimension reduction by weighted pairwise Fisher criteria}, volume={23}, DOI={10.1109/34.935849}, number={7}, journal={IEEE Transactions on Pattern Analysis and Machine Intelligence}, author={Loog, M. and Duin, R.P.W. and Haeb-Umbach, Reinhold}, year={2001}, pages={762–766} }
Loog, M., R.P.W. Duin, and Reinhold Haeb-Umbach. “Multiclass Linear Dimension Reduction by Weighted Pairwise Fisher Criteria.” IEEE Transactions on Pattern Analysis and Machine Intelligence 23, no. 7 (2001): 762–66. https://doi.org/10.1109/34.935849.
M. Loog, R. P. W. Duin, and R. Haeb-Umbach, “Multiclass linear dimension reduction by weighted pairwise Fisher criteria,” IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 23, no. 7, pp. 762–766, 2001.
Loog, M., et al. “Multiclass Linear Dimension Reduction by Weighted Pairwise Fisher Criteria.” IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 23, no. 7, 2001, pp. 762–66, doi:10.1109/34.935849.

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