24 citations · 157 across the 42 of their papers we have counts for
4 papers · 1 filter
Fast computation of Tukey trimmed regions and median in dimension
Xiaohui Liu, Karl Mosler, Pavlo Mozharovskyi
Given data in , a Tukey -trimmed region is the set of all points that have at least Tukey depth w.r.t. the data. As they are visual, affine equivariant and r…
Exact computation of the halfspace depth
Rainer Dyckerhoff, Pavlo Mozharovskyi
For computing the exact value of the halfspace depth of a point w.r.t. a data cloud of points in arbitrary dimension, a theoretical framework is suggested. Based on this framew…
Classifying real-world data with the -procedure
Pavlo Mozharovskyi, Karl Mosler, Tatjana Lange
The -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 p…
Fast DD-classification of functional data
Karl Mosler, Pavlo Mozharovskyi
A fast nonparametric procedure for classifying functional data is introduced. It consists of a two-step transformation of the original data plus a classifier operating on a low-dim…