44 citations · 44 across the 1 of their papers we have counts for
6 papers
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…
Estimating rank-one matrices with mismatched prior and noise: universality and large deviations
Alice Guionnet, Justin Ko, Florent Krzakala +1
We prove a universality result that reduces the free energy of rank-one matrix estimation problems in the setting of mismatched prior and noise to the computation of the free energ…
Gibbs Sampling the Posterior of Neural Networks
Giovanni Piccioli, Emanuele Troiani, Lenka Zdeborová
In this paper, we study sampling from a posterior derived from a neural network. We propose a new probabilistic model consisting of adding noise at every pre- and post-activation i…
High-dimensional Asymptotics of Denoising Autoencoders
Hugo Cui, Lenka Zdeborová
We address the problem of denoising data from a Gaussian mixture using a two-layer non-linear autoencoder with tied weights and a skip connection. We consider the high-dimensional…
Maximally-stable Local Optima in Random Graphs and Spin Glasses: Phase Transitions and Universality
Yatin Dandi, David Gamarnik, Lenka Zdeborová
We consider -stable local optima of Ising spin glass models, defined as spin configurations such that for nearly all of the spins, flipping their values results in increasing en…
Potts Glass on Random Graphs
Florent Krzakala, Lenka Zdeborová
We solve the q-state Potts model with anti-ferromagnetic interactions on large random lattices of finite coordination. Due to the frustration induced by the large loops and to the…