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stat.ML2020★ 30 cited
Asymptotic Errors for Teacher-Student Convex Generalized Linear Models (or : How to Prove Kabashima's Replica Formula)
Cedric Gerbelot, Alia Abbara, Florent Krzakala
There has been a recent surge of interest in the study of asymptotic reconstruction performance in various cases of generalized linear estimation problems in the teacher-student se…
stat.ML2020★ 18 cited
Asymptotic errors for convex penalized linear regression beyond Gaussian matrices
Cédric Gerbelot, Alia Abbara, Florent Krzakala
We consider the problem of learning a coefficient vector in from noisy linear observations in in the high dimensional limit to infinity w…
stat.ML2019★ 11 cited
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…