2 papers
math.ST2019
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…
stat.ML2019
On the Universality of Noiseless Linear Estimation with Respect to the Measurement Matrix
Alia Abbara, Antoine Baker, Florent Krzakala +1
In a noiseless linear estimation problem, one aims to reconstruct a vector x* from the knowledge of its linear projections y=Phi x*. There have been many theoretical works concentr…