Author

John C. Duchi

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Preprint Sep 2026

Random tilts to find stationary points in stochastic convex optimization

A few complementary results are presented that show that some dimension dependence is necessary, in distinction from standard stochastic optimization and empirical risk minimization, by providing minimax lower bounds scaling as $\sqrt{d/n}$ for d-dimensional problems given $n$ observations.

Felipe Areces, John C. Duchi, Malo Sommers · 0 citations

Preprint Sep 2026

Finite-sample nonparametric mean tests: Leave-one-out duality and asymptotic optimality

We study finite-sample valid tests of the one-sided mean hypothesis $H_0:\mu\leq 1$ against $H_1:\mu>1$ for nonnegative random variables. To do so, we develop a leave-one-out dual certificate framework, where certain pointwise inequalities imply p-value validity under the conditional mean null $\mathbb{E}[X_i\mid\mathb...

Yi-Fan Zhu, John C. Duchi · 0 citations