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stat.ML2026
Functional Central Limit Theorem for Stochastic Gradient Descent
Kessang Flamand, Victor-Emmanuel Brunel
We study the asymptotic shape of the trajectory of the stochastic gradient descent algorithm applied to a convex objective function. Under mild regularity assumptions, we prove a f…
stat.ML2020★ 13 cited
Propose, Test, Release: Differentially private estimation with high probability
Victor-Emmanuel Brunel, Marco Avella-Medina
We derive concentration inequalities for differentially private median and mean estimators building on the "Propose, Test, Release" (PTR) mechanism introduced by Dwork and Lei (200…