10 papers
Conic reach and polynomial parallel volume in the plane
Alejandro Cholaquidis
For a compact set , the local Steiner formula of Hug, Last and Weil expresses the parallel volume through the proximal normal bundle and the truncated fiber…
Weak convergence from projected laws on a positive-measure set of directions
Alejandro Cholaquidis, Manuel Hernández-Banadik
The Cramér-Wold device characterises weak convergence of probability measures on through convergence of all one-dimensional projected laws. We prove that, if the ta…
Testing axial symmetry around an unspecified direction
Alejandro Cholaquidis, Juan Cuesta-Albertos, Ricardo Fraiman +1
We consider the problem of testing whether a multivariate distribution is axially symmetric about some unknown direction. Under a simple-spectrum assumption on the covariance matri…
Concave Statistical Utility Maximization Bandits via Influence-Function Gradients
MatÃas Carrasco, Alejandro Cholaquidis
We study stochastic multi-armed bandits in which the objective is a statistical functional of the long-run reward distribution, rather than expected reward alone. Under mild contin…
Conformal Robust Set Estimation
Alejandro Cholaquidis, Emilien Joly, Leonardo Moreno
Conformal prediction provides finite-sample, distribution-free coverage under exchangeability, but standard constructions may lack robustness in the presence of outliers or heavy t…
Estimating axial symmetry using random projections
Alejandro Cholaquidis, Ricardo Fraiman, Manuel Hernández-Banadik +1
This paper studies the problem of identifying directions of axial symmetry in multivariate distributions. Theoretical results are derived on how the measure or cardinality of the s…