An iterative construction of the TAP equations with the Stein's method

par Adrien Schertzer

jeudi 17 oct. 2024, 14:00 → 15:00 Europe/Paris

435 (ENS Lyon UMPA)

We propose a new iterative construction of solutions of the classical TAP equations for the Sherrington-Kirkpatrick model. The algorithm can be started in an arbitrary point, and converges up to the AT line. The analysis relies on a novel treatment of mean field algorithms through Stein’s method. As such, the approach also yields weak convergence of the effective fields at all temperatures towards Gaussians.