Forum Numerica - Elena AGLIARI - The many lives of the Hopfield model: from dreams to generalization

Elena Agliari (Sapienza University of Rome) - The many lives of the Hopfield model: from dreams to generalization In the first part of the seminar, I will review the main features of the Hopfield model and provide an overview of its numerous and diverse applications. Next, inspired by biological information processing, I will introduce reinforcement and removal mechanisms occurring in the mammalian brain during sleep and recast them in terms of suitable hyperparameters. This enriched framework is shown to efficiently handle structured datasets, enabling both retrieval and generalization, depending on the chosen setup. Our theoretical picture, developed using tools from statistical mechanics and random matrix theory, is corroborated by numerical simulations. Forum Numerica is the seminar series of the Academy of Excellence "Networks, Information and Digital Society" from Université Côte d'Azur, dedicated to the digital sciences and their impact on the society and humans. Find out more at https://ds4h.univ-cotedazur.eu/forum-...