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A Bayesian Kernel logistic discriminant model: an improvement to the Kernel Fisher's discriminant

Published: 13 July 2008 Publication History

Abstract

The Kernel Fisher's Discriminant (KFD) has proven to be competitive to several state-of-the-art classifiers. However, it is assuming equal covariance structure for all transformed classes, which is not true in many applications. In this paper, we propose a novel Bayesian Kernel Logistic Discriminant model (BKLD) which goes one step further by representing each transformed class by its own covariance matrix. This can perform better than the KFD. An extensive comparison of the BKLD to the KFD and to other state-of-the-art non-linear classifiers is performed.

References

[1]
Jaakkola, T. S., and Jordan, M.I. 2000. Bayesian parameter estimation via variational methods. Statistics and Computing 10(1): 25-37.
[2]
Mika, S. et al. 1999. Fisher Discriminant Analysis with Kernels. In Proceedings of IEEE Neural Networks for Signal Processing Workshop, 41-48.
[3]
Ratsch, G., Onoda, T., and Muller, K.-R. 2000. Soft Margins for Adaboost. Machine Learning 42(3): 287-320.

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Published In

cover image Guide Proceedings
AAAI'08: Proceedings of the 23rd national conference on Artificial intelligence - Volume 3
July 2008
1892 pages
ISBN:9781577353683

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  • Association for the Advancement of Artificial Intelligence

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AAAI Press

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Published: 13 July 2008

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