no code implementations • 7 Aug 2023 • Giovanni Catania, Aurélien Decelle, Beatriz Seoane
We characterize the equilibrium properties of a model of $y$ coupled binary perceptrons in the teacher-student scenario, subject to a learning rule, with an explicit ferromagnetic coupling proportional to the Hamming distance between the students' weights.
no code implementations • 23 Jan 2023 • Elisabeth Agoritsas, Giovanni Catania, Aurélien Decelle, Beatriz Seoane
In this paper, we quantify the impact of using non-convergent Markov chains to train Energy-Based models (EBMs).
no code implementations • 17 Nov 2022 • Adriano Barra, Giovanni Catania, Aurélien Decelle, Beatriz Seoane
Introduced by Kosko in 1988 as a generalization of the Hopfield model to a bipartite structure, the simplest architecture is defined by two layers of neurons, with synaptic connections only between units of different layers: even without internal connections within each layer, information storage and retrieval are still possible through the reverberation of neural activities passing from one layer to another.
1 code implementation • 18 Oct 2022 • Alfredo Braunstein, Giovanni Catania, Luca Dall'Asta, Matteo Mariani, Anna Paola Muntoni
Computing observables from conditioned dynamics is typically computationally hard, because, although obtaining independent samples efficiently from the unconditioned dynamics is usually feasible, generally most of the samples must be discarded (in a form of importance sampling) because they do not satisfy the imposed conditions.
no code implementations • 20 Sep 2020 • Antoine Baker, Indaco Biazzo, Alfredo Braunstein, Giovanni Catania, Luca Dall'Asta, Alessandro Ingrosso, Florent Krzakala, Fabio Mazza, Marc Mézard, Anna Paola Muntoni, Maria Refinetti, Stefano Sarao Mannelli, Lenka Zdeborová
We conclude that probabilistic risk estimation is capable to enhance performance of digital contact tracing and should be considered in the currently developed mobile applications.
1 code implementation • 24 Oct 2018 • Alfredo Braunstein, Giovanni Catania, Luca Dall'Asta
Computing marginal distributions of discrete or semidiscrete Markov random fields (MRFs) is a fundamental, generally intractable problem with a vast number of applications in virtually all fields of science.