212 citations · 1.1k across the 42 of their papers we have counts for
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math.PR2021
Marginals of a spherical spin glass model with correlated disorder
Jean Barbier, Manuel Sáenz
In this paper we prove the weak convergence, in a high-temperature phase, of the finite marginals of the Gibbs measure associated to a symmetric spherical spin glass model with cor…
cs.IT2021★ 26 cited
Statistical limits of dictionary learning: random matrix theory and the spectral replica method
Jean Barbier, Nicolas Macris
We consider increasingly complex models of matrix denoising and dictionary learning in the Bayes-optimal setting, in the challenging regime where the matrices to infer have a rank…
math.PR2021
Performance of Bayesian linear regression in a model with mismatch
Jean Barbier, Wei-Kuo Chen, Dmitry Panchenko +1
In this paper we analyze, for a model of linear regression with gaussian covariates, the performance of a Bayesian estimator given by the mean of a log-concave posterior distributi…