3 papers
math.ST2026
Distributional Convergence of Empirical Entropic Optimal Transport and Statistical Applications
Santiago Arenas-Velilla, Axel Munk, Luis-Alberto Rodríguez
Recently, the statistical properties of empirical Entropic Optimal Transport (EOT) have attracted great interest, as this quantity has been shown to be useful for complex data anal…
math.ST2024
On uniqueness of the set of k-means
Javier Cárcamo, Antonio Cuevas, Luis A. Rodríguez
We provide necessary and sufficient conditions for the uniqueness of the k-means set of a probability distribution. This uniqueness problem is related to the choice of k: depending…
math.ST2019
Directional differentiability for supremum-type functionals: statistical applications
Javier Cárcamo, Luis-Alberto Rodríguez, Antonio Cuevas
We show that various functionals related to the supremum of a real function defined on an arbitrary set or a measure space are Hadamard directionally differentiable. We specificall…