Estimation of True Mahalanobis Distance from Eigenvectors of Sample Covariance Matrix

LanguageJapanese
TypeJournal Articles
AuthorsMasakazu Iwamura, Shinichiro Omachi, Hirotomo Aso
TitleEstimation of True Mahalanobis Distance from Eigenvectors of Sample Covariance Matrix
JournalTrans. IEICE
Vol.J86-D-II
No.1
Pagespp.22-31
ReviewedReviewed
DateJanuary 2003
Research fieldsPattern recognition
URLhttps://search.ieice.org/bin/summary.php?id=j86-d2_1_22
KeyIwamura2003_IEICE (id=6)

Abstract

In statistical pattern recognition, parameters of distributions are usually estimated from training sample vectors. However, estimated parameters contain estimation errors and the errors cause bad influence on recognition performance when the sample size is not sufficient. In this paper, we present a method to estimate the true Mahalanobis distance from sample eigenvectors (eigenvectors of sample covariance matrix) by considering the errors of eigenvectors. Recognition experiments show that by applying the proposed method, the true Mahalanobis distance can be estimated even if the sample size is small, and better recognition accuracy is achieved.

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