Bruno Loureiro

I am a CNRS researcher in the DATA team, part of the Centre for Data Science at the École Normale Supérieure in Paris. My work lies at the intersection of machine learning and statistical mechanics. I also serve as a Professeur Attaché at Université Paris Sciences et Lettres (PSL), where I teach in both undergraduate and graduate programs across its affiliated institutions.

If you are interested in my research, you can find a complete list of my publications here.

news

Oct 09, 2025	The recordings of the lectures I gave at the INFORMS Applied Probability Society summer school are now available on this YouTube channel.
Sep 18, 2025	Our works: Optimal Spectral Transitions in High-Dimensional Multi-Index Models Asymptotics of SGD in Sequence-Single Index Models and Single-Layer Attention Networks were accepted for NeurIPS 2025. Come see our posters in San Diego!
Aug 01, 2025	My project MAPLE (Mathematical Analysis of Pattern Learning and Extraction) has been selected for the ANR JCJC 2025!!! I am actively looking for strong and motivated postdocs to work on the theory of feature learning starting from September 2025. More info here.
Feb 28, 2025	I am slowly writing a set of lecture notes for a course on the “Mathematics of Deep Learning” I teach at the MASH/IASD M2 programs, with some of my favourite topics. It is still a draft, but you can check them here!
Feb 04, 2025	In our recent pre-print on “Optimal Spectral Transitions in High-Dimensional Multi-Index Models” we propose a spectral method and show that it achieves the optimal weak-recovery threshold for multi-index models among first order methods, a result proven in our previous work.