Author

Nikita Zhivotovskiy

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Preprint Aug 2026

Beyond Modern Asymptotics for Log-Likelihood Ratios in Logistic Regression

We characterize the finite sample behavior of the log-likelihood ratio statistic in binary logistic regression, uniformly over both the design and the target parameter. For $n\geq d\geq 3$, we determine, up to universal constants, its worst case $(1-\delta)$ quantile over all fixed collections of design vectors and all...

H. Chardon, R. Pathak, Nikita Zhivotovskiy · 0 citations

Preprint Aug 2026

An Optimal Agnostic PAC Algorithm

This paper settles the sample complexity of agnostic PAC learning up to universal constants at every fixed $L^*$, matching the lower bounds of Devroye, Gyorfi, and Lugosi.

Markus Engelund Mathiasen, Jian Qian, Nikita Zhivotovskiy · 2 citations · ⚡1