Horospherical depth generalizes Tukey's half-space depth to Hadamard manifolds via Busemann functions, producing a Busemann median with nested convex depth regions, a 1/(d+1) centerpoint guarantee, and robustness to contamination at infinity.
Title resolution pending
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.ST 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Horospherical Depth and Busemann Median on Hadamard Manifolds
Horospherical depth generalizes Tukey's half-space depth to Hadamard manifolds via Busemann functions, producing a Busemann median with nested convex depth regions, a 1/(d+1) centerpoint guarantee, and robustness to contamination at infinity.