72 citations · 120 across the 7 of their papers we have counts for
5 papers · 1 filter
Capacity-Achieving Sparse Regression Codes via Vector Approximate Message Passing
Yizhou Xu, YuHao Liu, ShanSuo Liang +4
Sparse regression codes (SPARCs) are a promising coding scheme that can approach the Shannon limit over Additive White Gaussian Noise (AWGN) channels. Previous works have proven th…
Mismatched estimation of non-symmetric rank-one matrices corrupted by structured noise
Teng Fu, YuHao Liu, Jean Barbier +3
We study the performance of a Bayesian statistician who estimates a rank-one signal corrupted by non-symmetric rotationally invariant noise with a generic distribution of singular…
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…