212 citations · 1.4k across the 61 of their papers we have counts for
4 papers · 1 filter
The Mutual Information in Random Linear Estimation
Jean Barbier, Mohamad Dia, Nicolas Macris +1
We consider the estimation of a signal from the knowledge of its noisy linear random Gaussian projections, a problem relevant in compressed sensing, sparse superposition codes or c…
Mutual information for symmetric rank-one matrix estimation: A proof of the replica formula
Jean Barbier, Mohamad Dia, Nicolas Macris +3
Factorizing low-rank matrices has many applications in machine learning and statistics. For probabilistic models in the Bayes optimal setting, a general expression for the mutual i…
Threshold Saturation of Spatially Coupled Sparse Superposition Codes for All Memoryless Channels
Jean Barbier, Mohamad Dia, Nicolas Macris
We recently proved threshold saturation for spatially coupled sparse superposition codes on the additive white Gaussian noise channel. Here we generalize our analysis to a much bro…
Proof of Threshold Saturation for Spatially Coupled Sparse Superposition Codes
Jean Barbier, Mohamad Dia, Nicolas Macris
Recently, a new class of codes, called sparse superposition or sparse regression codes, has been proposed for communication over the AWGN channel. It has been proven that they achi…