Robust Estimation of Inverse Covariance Matrix by Shrinkage Technique

LanguageJapanese
TypeProceedings of Japanese Conferences
AuthorsMasakazu Iwamura, Shinichiro Omachi, Hirotomo Aso
TitleRobust Estimation of Inverse Covariance Matrix by Shrinkage Technique
JournalIEICE Technical Report
Presentation numberPRMU2007-156
ReviewedNot reviewed
DateDecember 2007
Research fieldsPattern recognition
KeyIwamura2007_IEICEPRMU_Robust (id=1001)

Abstract

In pattern recognition, important measures including quadratic discriminant function (QDF) and Mahalanobis distance (MD) depend on the inverse of a covariance matrix. Since estimation accuracy of the matrix roughly determines pattern recognition performance, we have proposed an estimating method using ``a shrinkage technique.'' In this paper, by introducing sphericity test and block diagonalization to the method, we achieve simplification and performance improvement.

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