Discriminant feature extraction for parametric and non-parametric classifier

Chulhee Lee, David A. Landgrebe

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In this paper, feature extraction is considered as preserving the value of the discriminant function for a given classifier which uses a posteriori probabilities P(ω|X) while reducing dimensionality. For classification minimizing Bayes' error, a posteriori probabilities would be the best features. In this feature space, the probability of error is the same as in the original space assuming Bayes' classifier. We consider feature extraction as eliminating features which have no impact on the value of the discriminant function and propose a feature extraction algorithm which eliminates those irrelevant features and retains only useful features. The proposed feature extraction algorithm does not deteriorate even when there is no difference in the mean vectors or no differences in the covariance matrices, and can be used for both parametric classifiers and non-parametric classifiers.

Original languageEnglish
Title of host publication1992 IEEE International Conference on Systems, Man, and Cybernetics
Subtitle of host publicationEmergent Innovations in Information Transfer Processing and Decision Making, SMC 1992
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages1345-1350
Number of pages6
ISBN (Electronic)0780307208, 9780780307209
DOIs
Publication statusPublished - 1992
EventIEEE International Conference on Systems, Man, and Cybernetics, SMC 1992 - Chicago, United States
Duration: 1992 Oct 181992 Oct 21

Publication series

NameConference Proceedings - IEEE International Conference on Systems, Man and Cybernetics
Volume1992-January
ISSN (Print)1062-922X

Other

OtherIEEE International Conference on Systems, Man, and Cybernetics, SMC 1992
CountryUnited States
CityChicago
Period92/10/1892/10/21

All Science Journal Classification (ASJC) codes

  • Electrical and Electronic Engineering
  • Control and Systems Engineering
  • Human-Computer Interaction

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  • Cite this

    Lee, C., & Landgrebe, D. A. (1992). Discriminant feature extraction for parametric and non-parametric classifier. In 1992 IEEE International Conference on Systems, Man, and Cybernetics: Emergent Innovations in Information Transfer Processing and Decision Making, SMC 1992 (pp. 1345-1350). [271598] (Conference Proceedings - IEEE International Conference on Systems, Man and Cybernetics; Vol. 1992-January). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ICSMC.1992.271598