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Author

J. Mourrat

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Open access Oct 2026

Critical point representation of the mutual information in the sparse stochastic block model

We consider the problem of recovering the community structure in the stochastic block model. We aim to describe the mutual information between the observed network and the actual community structure as the number of nodes diverges while the average degree of a given node remains bounded. Our main contribution is a repr...

Tomas Dominguez, Jean-Christophe Mourrat · 0 citations
Preprint Sep 2026

Efficient computation of the asymptotics of extensive-rank HCIZ integrals

We study the high-dimensional asymptotics of Harish-Chandra-Itzykson-Zuber (HCIZ) integrals in the extensive-rank regime. The limit of these integrals is governed by a one-dimensional boundary-value hydrodynamical problem originally derived by Matytsin (1994) and rigorously proved by Guionnet and Zeitouni (2002). Despi...

A. Maillard, Jean-Christophe Mourrat · 0 citations
Jul 2026

Singular perturbations and hierarchical learning in two-layer neural networks

This paper proves that the constant and linear components of the hidden link function are indeed recovered within the predicted timescales, at sharp explicit thresholds, based on quantitative approximation results for singularly perturbed flows evolving near a manifold defined by integral constraints.

Cédric Gerbelot, J. Mourrat · 0 citations

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