Warning: imagejpeg(C:\Inetpub\vhosts\kidney.de\httpdocs\phplern\27330194
.jpg): Failed to open stream: No such file or directory in C:\Inetpub\vhosts\kidney.de\httpdocs\pget.php on line 117 Biometrika
2015 ; 102
(1
): 33-45
Nephropedia Template TP
Biometrika
2015[]; 102
(1
): 33-45
PMID27330194
show ga
Linear discriminant analysis has been widely used to characterize or separate
multiple classes via linear combinations of features. However, the high
dimensionality of features from modern biological experiments defies traditional
discriminant analysis techniques. Possible interfeature correlations present
additional challenges and are often underused in modelling. In this paper, by
incorporating possible interfeature correlations, we propose a
covariance-enhanced discriminant analysis method that simultaneously and
consistently selects informative features and identifies the corresponding
discriminable classes. Under mild regularity conditions, we show that the method
can achieve consistent parameter estimation and model selection, and can attain
an asymptotically optimal misclassification rate. Extensive simulations have
verified the utility of the method, which we apply to a renal transplantation
trial.