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The DDα-classifier, a nonparametric fast and very robust procedure, is described and applied to fifty classification problems regarding a broad spectrum of real-world data. The procedure first transforms the data from their original property space into a depth space, which is a low-dimensional unit cube, and then separates them by a projective invariant procedure, called α-procedure. To each data point the transformation assigns its depth values with respect to the given classes. SeveralarXiv:1407.5185v2 fatcat:rsppu6vdv5grfjxocpwnzk2l6q