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 sample performance of the method via extensive simulations and use this method to classify posttransplantation rejection types based on patients' gene expressions.
Keywords: Fisher's multiclass discriminant analysis; jointly informative features; marginally informative features; multivariate screening; ultrahigh-dimensional classification.
© 2019 The International Biometric Society.