Simon Martin

I am a second year PhD student between the SIERRA project-team at INRIA Paris and the Center for Data Science at École Normale Supérieure. I am advised by Francis Bach and Giulio Biroli.

I am a former student of the ENS Ulm where I obtained my Master's degree in Physics. I also have a Master's degree in Probabilities and Statistics from Université Paris Saclay.

Email / CV / Google Scholar

Research

I'm currently working on shallow neural networks and their learning dynamics. The goal of my PhD is to combine applied mathematics and statistical physics tools to understand gradient flow dynamics in high dimensions.

Publications

High-Dimensional Analysis of Gradient Flow for Extensive-Width Quadratic Neural Networks
Simon Martin, Giulio Biroli, Francis Bach
arXiv preprint, 2026
paper

Bayes-optimal learning of an extensive-width neural network from quadratically many samples
Antoine Maillard, Emanuele Troiani, Simon Martin, Florent Krzakala, Lenka Zdeborová
Advances in Neural Information Processing Systems (NeurIPS), 2024
paper

On the impact of overparameterization on the training of a shallow neural network in high dimensions
Simon Martin, Francis Bach, Giulio Biroli
Proceedings of the International Conference on Artificial Intelligence and Statistics (AISTATS), 2024
paper

Thanks to Jon Barron, Nivasini Ananthakrishnan and Eugène Berta for the template.