Seminari del Dipartimento di Matematica

Seminario del 2020

Francesco Guerra

The interpolating replica trick for disordered models. Recent developments.

nel ciclo di seminari: MATHEMATICAL METHODS AND MODELS IN MACHINE LEARNING

fisica matematica

We introduce a new version of the replica trick for disordered models, based on the interpolation on the number of replicas, and not on analytic continuation. We show that this strategy allows to find the order parameter in the general case, and the associated variational principle. The method works also for multispecie models. We show some applications to neural networks, and related systems.