Researchers have introduced a novel concept called horospherical depth, designed for statistical analysis on Hadamard manifolds. This new depth measure is intrinsically defined and is related to the Busemann median, which represents the set of points maximizing this depth. The method leverages Busemann functions and horoballs, offering an alternative to traditional linearization techniques and proving useful for various probability measures on these complex geometric spaces. AI
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RANK_REASON This is an academic paper introducing a new statistical concept on Hadamard manifolds.
