38 citations · 93 across the 17 of their papers we have counts for
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math.MG2021
Integrated shape-sensitive functional metrics
Sami Helander, Petra Laketa, Pauliina Ilmonen +3
This paper develops a new integrated ball (pseudo)metric which provides an intermediary between a chosen starting (pseudo)metric d and the L_p distance in general function spaces.…
math.ST2021★ 8 cited
Halfspace depth for general measures: The ray basis theorem and its consequences
Petra Laketa, Stanislav Nagy
The halfspace depth is a prominent tool of nonparametric multivariate analysis. The upper level sets of the depth, termed the trimmed regions of a measure, serve as a natural gener…
math.ST2021★ 3 cited
Statistical Depth Meets Machine Learning: Kernel Mean Embeddings and Depth in Functional Data Analysis
George Wynne, Stanislav Nagy
Statistical depth is the act of gauging how representative a point is compared to a reference probability measure. The depth allows introducing rankings and orderings to data livin…