212 citations · 1.4k across the 61 of their papers we have counts for
3 papers · 2 filters
Rank-one matrix estimation: analysis of algorithmic and information theoretic limits by the spatial coupling method
Jean Barbier, Mohamad Dia, Nicolas Macris +2
Factorizing low-rank matrices is a problem with many applications in machine learning and statistics, ranging from sparse PCA to community detection and sub-matrix localization. Fo…
Adaptive Path Interpolation for Sparse Systems: Application to a Simple Censored Block Model
Jean Barbier, Chun Lam Chan, Nicolas Macris
Recently a new adaptive path interpolation method has been developed as a simple and versatile scheme to calculate exactly the asymptotic mutual information of Bayesian inference p…
The Mutual Information in Random Linear Estimation Beyond i.i.d. Matrices
Jean Barbier, Nicolas Macris, Antoine Maillard +1
There has been definite progress recently in proving the variational single-letter formula given by the heuristic replica method for various estimation problems. In particular, the…