3 papers
math.ST2026
Adaptive Confidence Sets for Nonparametric Density Estimation under Local Differential Privacy
Aditya Khan, Thibault Randrianarisoa
In nonparametric density estimation without privacy constraints, it is known that a confidence set whose coverage holds uniformly over a `rough' class of regularity can si…
math.ST2021
On Adaptive Confidence Sets for the Wasserstein Distances
Neil Deo, Thibault Randrianarisoa
In the density estimation model, we investigate the problem of constructing adaptive honest confidence sets with radius measured in Wasserstein distance , , and for de…
math.ST2020
Smoothing and adaptation of shifted Pólya Tree ensembles
Thibault Randrianarisoa
Recently, S. Arlot and R. Genuer have shown that a model of random forests outperforms its single-tree counterpart in the estimation of Hölder functions, . This backs u…