10 citations · 20 across the 19 of their papers we have counts for
3 papers · 1 filter
Pointwise convergence of purely random partition estimators: from random trees to prototype rules
Jérémy Bettinger, François Portier, Adrien Saumard
We study pointwise convergence rates of purely random partition estimators in nonparametric regression, where the partition -- into hyper-rectangles by purely random trees, or into…
Revisiting local regression: shape regularity, uniform rates, and the limits of random splits
Jérémy Bettinger, François Portier, Adrien Saumard
Considering pointwise and sup-norm estimation, we analyze the non-asymptotic behavior of local averaging estimators for Lipschitz regression functions. Building on a general deviat…
Concentration of the bootstrap empirical process, with applications to statistical inference
Guillaume Maillard, Adrien Saumard
Considering a general framework of bootstrap with exchangeable weights, we show some concentration inequalities for the supremum of the bootstrap empirical process. On the one hand…