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09/23/2022
Another look at halfspace depth: Flag halfspaces with applications
The halfspace depth is a well studied tool of nonparametric statistics i...
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08/10/2022
Exact and approximate computation of the scatter halfspace depth
The scatter halfspace depth (sHD) is an extension of the location halfsp...
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08/09/2022
On exact computation of Tukey depth central regions
The Tukey (or halfspace) depth extends nonparametric methods toward mult...
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08/08/2022
Partial reconstruction of measures from halfspace depth
The halfspace depth of a d-dimensional point x with respect to a finite ...
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06/14/2021
Integrated shape-sensitive functional metrics
This paper develops a new integrated ball (pseudo)metric which provides ...
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05/31/2021
Halfspace depth for general measures: The ray basis theorem and its consequences
The halfspace depth is a prominent tool of nonparametric multivariate an...
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05/26/2021
Statistical Depth Meets Machine Learning: Kernel Mean Embeddings and Depth in Functional Data Analysis
Statistical depth is the act of gauging how representative a point is co...
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07/15/2020
Approximate computation of projection depths
Data depth is a concept in multivariate statistics that measures the cen...
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10/14/2019
Uniform convergence rates for the approximated halfspace and projection depth
The computational complexity of some depths that satisfy the projection ...
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07/18/2019
Scalar-on-function local linear regression and beyond
Regressing a scalar response on a random function is nowadays a common s...
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05/10/2019
Illumination depth
The concept of illumination bodies studied in convex geometry is used to...
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10/22/2018
Halfspace depth does not characterize probability distributions
We give examples of different multivariate probability distributions who...
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09/28/2018