Daniel Bartl

activity

20242026

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math.PR2026

On the structure of marginals in high dimensions

Daniel Bartl, Shahar Mendelson

Let $G, G_{1}, \dots, G_{N}$ be independent copies of a standard gaussian random vector in $R^{d}$ and denote by $I^ = \sum_{i = 1}^{N} ⟨ G_{i}, \cdot ⟩ e_{i}$ the standard gauss…

math.PR2026

Uniform mean estimation via generic chaining

Daniel Bartl, Shahar Mendelson

We introduce an empirical functional $I^¨$ that is an optimal uniform mean estimator: Let $F \subset L_{2} (I^¼)$ be a class of mean zero functions, $u$ is a real valued function, and $X…