777 citations · 10.3k across the 202 of their papers we have counts for
43 papers · 1 filter
Quenches in the Sherrington-Kirkpatrick model
Vittorio Erba, Freya Behrens, Florent Krzakala +1
The Sherrington-Kirkpatrick (SK) model is a prototype of a complex non-convex energy landscape. Dynamical processes evolving on such landscapes and locally aiming to reach minima a…
Sampling with flows, diffusion and autoregressive neural networks: A spin-glass perspective
Davide Ghio, Yatin Dandi, Florent Krzakala +1
Recent years witnessed the development of powerful generative models based on flows, diffusion or autoregressive neural networks, achieving remarkable success in generating data fr…
Statistical mechanics of the maximum-average submatrix problem
Vittorio Erba, Florent Krzakala, Rodrigo Pérez +1
We study the maximum-average submatrix problem, in which given an matrix one needs to find the submatrix with the largest average of entries. We study…
Optimal denoising of rotationally invariant rectangular matrices
Emanuele Troiani, Vittorio Erba, Florent Krzakala +2
In this manuscript we consider denoising of large rectangular matrices: given a noisy observation of a signal matrix, what is the best way of recovering the signal matrix itself? F…
Perturbative construction of mean-field equations in extensive-rank matrix factorization and denoising
Antoine Maillard, Florent Krzakala, Marc Mézard +1
Factorization of matrices where the rank of the two factors diverges linearly with their sizes has many applications in diverse areas such as unsupervised representation learning,…
Rademacher complexity and spin glasses: A link between the replica and statistical theories of learning
Alia Abbara, Benjamin Aubin, Florent Krzakala +1
Statistical learning theory provides bounds of the generalization gap, using in particular the Vapnik-Chervonenkis dimension and the Rademacher complexity. An alternative approach,…