5 papers
Secure Coding via Gaussian Random Fields
Ali Bereyhi, Bruno Loureiro, Florent Krzakala +2
Inverse probability problems whose generative models are given by strictly nonlinear Gaussian random fields show the all-or-nothing behavior: There exists a critical rate at which…
Reply to Comment on "Chaotic-Integrable Transition in the Sachdev-Ye-Kitaev Model"
Antonio M. García-García, Bruno Loureiro, Aurelio Romero-Bermúdez +1
In a recent comment to the paper Chaotic Integrable transition in the SYK model, it was claimed that, in a certain region of parameters, the Lyapunov exponent of the N Majoranas Sa…
Phase retrieval in high dimensions: Statistical and computational phase transitions
Antoine Maillard, Bruno Loureiro, Florent Krzakala +1
We consider the phase retrieval problem of reconstructing a -dimensional real or complex signal from (possibly noisy) observations $Y_μ= | \sum_{i=1}^n…
Exact asymptotics for phase retrieval and compressed sensing with random generative priors
Benjamin Aubin, Bruno Loureiro, Antoine Baker +2
We consider the problem of compressed sensing and of (real-valued) phase retrieval with random measurement matrix. We derive sharp asymptotics for the information-theoretically opt…
The spiked matrix model with generative priors
Benjamin Aubin, Bruno Loureiro, Antoine Maillard +2
Using a low-dimensional parametrization of signals is a generic and powerful way to enhance performance in signal processing and statistical inference. A very popular and widely ex…