Multiclass Linear Discriminant Analysis With Ultrahigh-Dimensional Features
Multiclass Linear Discriminant Analysis With Ultrahigh-Dimensional Features
Within the framework of Fisher's discriminant analysis, we propose a multiclass classification method which embeds variable screening for ultrahigh-dimensional predictors. Leveraging interfeature correlations, we show that the proposed linear classifier recovers informative features with probability tending to one and can asymptotically achieve a zero misclassification rate. We evaluate the finite …