Author

Alessandro Sgarabottolo

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Preprint Aug 2026

Extreme points of sets of probability measures and {\phi}-divergences

In this work, we prove several equivalent characterizations of the extreme points of convex sets of probability measures of the form $\mathcal{M}=\mathcal{P} \cap H$, where $\mathcal{P}$ denotes the set of all probability measures on an arbitrary measurable space $(\Omega,\mathcal{F})$ and $H$ is an affine set of signe...

Gerrit Bauch, Max Nendel, Alessandro Sgarabottolo · 0 citations

#machine learning Preprint Sep 2026

Neural operators approximate strongly continuous convex monotone semigroups

This work introduces the general class of so-called Chernoff-neural operators and shows in a universal approximation theorem that they can approximate the Chernoff one-step operators arbitrarily well, and introduces the more specialized class of envelope-neural operators for envelope semigroups which allows for quantit...

Jonas Blessing, Philipp Schmocker, Alessandro Sgarabottolo · 0 citations