Publications (44)
Displacement Convexity in Spatially Coupled Scalar Recursions
Rafah El-Khatib, Nicolas Macris, Tom Richardson +1
Proof of Threshold Saturation for Spatially Coupled Sparse Superposition Codes
Jean Barbier, Mohamad Dia, Nicolas Macris
Chains of Mean Field Models
S. Hamed Hassani, Nicolas Macris, Ruediger Urbanke
A Proof of Threshold Saturation for Spatially-Coupled LDPC Codes on BMS Channels
Santhosh Kumar, Andrew J. Young, Nicolas Macris +1
The Space of Solutions of Coupled XORSAT Formulae
S. Hamed Hassani, Nicolas Macris, Rudiger Urbanke
The Mutual Information in Random Linear Estimation
Jean Barbier, Mohamad Dia, Nicolas Macris +1
Spatial Coupling as a Proof Technique
Andrei Giurgiu, Nicolas Macris, Rüdiger Urbanke
Optimal Errors and Phase Transitions in High-Dimensional Generalized Linear Models
Jean Barbier, Florent Krzakala, Nicolas Macris +2
Extended Edge States in Finite Hall Systems
Christian Ferrari, Nicolas Macris
The adaptive interpolation method: A simple scheme to prove replica formulas in Bayesian inference
Jean Barbier, Nicolas Macris
Threshold Saturation in Spatially Coupled Constraint Satisfaction Problems
S. Hamed Hassani, Nicolas Macris, Rudiger Urbanke
Displacement Convexity, A Useful Framework for the Study of Spatially Coupled Codes
Rafah El-Khatib, Nicolas Macris, Ruediger Urbanke
Lossy Source Coding via Spatially Coupled LDGM Ensembles
Vahid Aref, Nicolas Macris, Rudiger Urbanke +1
Near concavity of the growth rate for coupled LDPC chains
S. Hamed Hassani, Nicolas Macris, Ryuhei Mori
Coupled Graphical Models and Their Thresholds
S. Hamed Hassani, Nicolas Macris, Ruediger Urbanke
Decay of Correlations in Low Density Parity Check Codes: Low Noise Regime
Shrinivas Kudekar, Nicolas Macris
Sharp Bounds for Optimal Decoding of Low Density Parity Check Codes
Shrinivas Kudekar, Nicolas Macris
Rank-one matrix estimation: analysis of algorithmic and information theoretic limits by the spatial coupling method
Jean Barbier, Mohamad Dia, Nicolas Macris +2
The Mutual Information in Random Linear Estimation Beyond i.i.d. Matrices
Jean Barbier, Nicolas Macris, Antoine Maillard +1
Analysis of Coupled Scalar Systems by Displacement Convexity
Rafah El-Khatib, Nicolas Macris, Tom Richardson +1
Intermixture of extended edge and localized bulk energy levels in macroscopic Hall systems
Christian Ferrari, Nicolas Macris
Mutual information for symmetric rank-one matrix estimation: A proof of the replica formula
Jean Barbier, Mohamad Dia, Nicolas Macris +3
Decay of Correlations for Sparse Graph Error Correcting Codes
Shrinivas Kudekar, Nicolas Macris
Spectral flow and level spacing of edge states for quantum Hall hamiltonians
Nicolas Macris
The Velocity of the Propagating Wave for Spatially Coupled Systems with Applications to LDPC Codes
Rafah El-Khatib, Nicolas Macris
Spectral Properties of Finite Quantum Hall Systems
Christian Ferrari, Nicolas Macris
Polymer Expansions for Cycle LDPC Codes
Nicolas Macris, Marc Vuffray
Applications of correlation inequalities to low density graphical codes
Nicolas Macris
The Layered Structure of Tensor Estimation and its Mutual Information
Jean Barbier, Nicolas Macris, Léo Miolane
Projection on higher Landau levels and non-commutative geometry
Nicolas Macris, Stephane Ouvry
Mutual Information for the Stochastic Block Model by the Adaptive Interpolation Method
Jean Barbier, Chun Lam Chan, Nicolas Macris
Efficient quantum algorithms for $GHZ$ and $W$ states, and implementation on the IBM quantum computer
Diogo Cruz, Romain Fournier, Fabien Gremion +8
The Bethe Free Energy Allows to Compute the Conditional Entropy of Graphical Code Instances. A Proof from the Polymer Expansion
Nicolas Macris, Marc Vuffray
Approaching the Rate-Distortion Limit with Spatial Coupling, Belief propagation and Decimation
Vahid Aref, Nicolas Macris, Marc Vuffray
Threshold Saturation for Spatially-Coupled LDPC and LDGM Codes on BMS Channels
Santhosh Kumar, Andrew J. Young, Nicolas Macris +1
Tight Bounds on the Capacity of Binary Input random CDMA Systems
Satish Babu Korada, Nicolas Macris
Beyond the Bethe Free Energy of LDPC Codes via Polymer Expansions
Nicolas Macris, Marc Vuffray
The Velocity of the Propagating Wave for General Coupled Scalar Systems
Rafah El-Khatib, Nicolas Macris
On the flux phase conjecture at half-filling: an improved proof
Nicolas Macris, Bruno Nachtergaele
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
The Velocity of the Decoding Wave for Spatially Coupled Codes on BMS Channels
Rafah El-Khatib, Nicolas Macris
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