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Application of the Karhunen-Loève Expansion to Feature Selection and Ordering

IEEE Transactions on Computers · 1970 · Vol. C-19(4) · pp. 311–318

Keinosuke Fukunaga✉(Purdue University West Lafayette)Warren Koontz(Purdue University West Lafayette)

Abstract

The Karhunen-Lo6ve expansion has been used previously to extract important features for representing samples taken from a given distribution. A method is developed herein to use the Karhunen-Loeve expansion to extract features relevant to classification of a sample taken from one of two pattern classes. Numerical examples are presented to illustrate the technique.

Neural Networks and Applications Advanced Statistical Methods and Models Control Systems and IdentificationKarhunen–Loève theoremPattern recognition (psychology)Selection (genetic algorithm)Artificial intelligenceFeature selectionMathematicsComputer scienceFeature (linguistics)Sample (material)Algorithm

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Pattern recognition by means of disjoint principal components models