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math.ST2019★ 16 cited
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…
math.ST2019★ 1 cited
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…