Publications (23)
Proof of Threshold Saturation for Spatially Coupled Sparse Superposition Codes
Jean Barbier, Mohamad Dia, Nicolas Macris
Replica Analysis and Approximate Message Passing Decoder for Superposition Codes
Jean Barbier, Florent Krzakala
The hard-core model on random graphs revisited
Jean Barbier, Florent Krzakala, Lenka Zdeborová +1
The Layered Structure of Tensor Estimation and its Mutual Information
Jean Barbier, Nicolas Macris, Léo Miolane
The Mutual Information in Random Linear Estimation
Jean Barbier, Mohamad Dia, Nicolas Macris +1
Robust error correction for real-valued signals via message-passing decoding and spatial coupling
Jean Barbier, Florent Krzakala, Lenka Zdeborová +1
Concentration of the matrix-valued minimum mean-square error in optimal Bayesian inference
Jean Barbier
Optimal Errors and Phase Transitions in High-Dimensional Generalized Linear Models
Jean Barbier, Florent Krzakala, Nicolas Macris +2
Compressed Sensing of Approximately-Sparse Signals: Phase Transitions and Optimal Reconstruction
Jean Barbier, Florent Krzakala, Marc Mézard +1
Mutual Information for the Stochastic Block Model by the Adaptive Interpolation Method
Jean Barbier, Chun Lam Chan, Nicolas Macris
The adaptive interpolation method: A simple scheme to prove replica formulas in Bayesian inference
Jean Barbier, Nicolas Macris
Approximate message-passing decoder and capacity-achieving sparse superposition codes
Jean Barbier, Florent Krzakala
Error correcting codes and spatial coupling
Rafah El-Khatib, Jean Barbier, Ayaka Sakata +1
Adaptive Path Interpolation for Sparse Systems: Application to a Simple Censored Block Model
Jean Barbier, Chun Lam Chan, Nicolas Macris
I-MMSE relations in random linear estimation and a sub-extensive interpolation method
Jean Barbier, Nicolas Macris
Approximate message-passing with spatially coupled structured operators, with applications to compressed sensing and sparse superposition codes
Jean Barbier, Christophe Schülke, Florent Krzakala
Rank-one matrix estimation: analysis of algorithmic and information theoretic limits by the spatial coupling method
Jean Barbier, Mohamad Dia, Nicolas Macris +2
Scampi: a robust approximate message-passing framework for compressive imaging
Jean Barbier, Eric W. Tramel, Florent Krzakala
The Mutual Information in Random Linear Estimation Beyond i.i.d. Matrices
Jean Barbier, Nicolas Macris, Antoine Maillard +1
Mutual information for symmetric rank-one matrix estimation: A proof of the replica formula
Jean Barbier, Mohamad Dia, Nicolas Macris +3
Threshold Saturation of Spatially Coupled Sparse Superposition Codes for All Memoryless Channels
Jean Barbier, Mohamad Dia, Nicolas Macris
Universal Sparse Superposition Codes with Spatial Coupling and GAMP Decoding
Jean Barbier, Mohamad Dia, Nicolas Macris
Statistical physics and approximate message-passing algorithms for sparse linear estimation problems in signal processing and coding theory
Jean Barbier