2 papers
math.ST2024
Uniform Consistency of Generalized Fréchet Means
Andrea Aveni, Martin Bladt, Sayan Mukherjee
Loss-based notions of centre on nonlinear spaces range from the Fréchet mean and power means to the geometric median and, in a limiting sense, the Chebyshev centre. To use such sum…
cs.GT2024
On the Weighted Top-Difference Distance: Axioms, Aggregation, and Approximation
Andrea Aveni, Ludovico Crippa, Giulio Principi
We study a family of distance functions on rankings that allow for asymmetric treatments of alternatives and consider the distinct relevance of the top and bottom positions for ord…