72 citations · 117 across the 4 of their papers we have counts for
4 papers
Mutual Information for the Stochastic Block Model by the Adaptive Interpolation Method
Jean Barbier, Chun Lam Chan, Nicolas Macris
We rigorously derive a single-letter variational expression for the mutual information of the asymmetric two-groups stochastic block model in the dense graph regime. Existing proof…
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…
Error correcting codes and spatial coupling
Rafah El-Khatib, Jean Barbier, Ayaka Sakata +1
These are notes from the lecture of Rüdiger Urbanke given at the autumn school "Statistical Physics, Optimization, Inference, and Message-Passing Algorithms", that took place in L…
Replica Analysis and Approximate Message Passing Decoder for Superposition Codes
Jean Barbier, Florent Krzakala
Superposition codes are efficient for the Additive White Gaussian Noise channel. We provide here a replica analysis of the performances of these codes for large signals. We also co…