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math.ST2015★ 4 cited
Theoretical analysis of cross-validation for estimating the risk of the k-Nearest Neighbor classifier
Alain Celisse, Tristan Mary-Huard
The present work aims at deriving theoretical guaranties on the behavior of some cross-validation procedures applied to the -nearest neighbors (NN) rule in the context of bin…
math.ST2015
A One-Sample Test for Normality with Kernel Methods
Jérémie Kellner, Alain Celisse
We propose a new one-sample test for normality in a Reproducing Kernel Hilbert Space (RKHS). Namely, we test the null-hypothesis of belonging to a given family of Gaussian distribu…