Author

F. Portier

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Preprint Sep 2026

Minimax optimality for sequential gradient-free minimization of smooth functions and their derivatives

We consider the problem of noisy gradient-free minimization of the k-th order partial derivative of a $\beta$-H{\"o}lder function supported on a d-dimensional cube. We show that T ^{($\beta$+d+k)/(2$\beta$+d)} log(T )^{(\beta-k)/(2\beta+d)} is a non-asymptotic minimax rate of the T step cumulative regret for all $\beta...

Théo Paquier, A. Tsybakov, F. Portier et al. · 0 citations

Preprint Aug 2026

Pointwise convergence of purely random partition estimators: from random trees to prototype rules

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 Voronoi cells by prototype rules -- is built independently of the responses. Our analysis rests on a single geometric criterion, shape regu...

J'er'emy Bettinger, F. Portier, Adrien Saumard · 0 citations