Jean Barbier

Orcid: 0000-0002-2652-6727

Affiliations:
  • International Center for Theoretical Physics, Trieste, Italy


According to our database1, Jean Barbier authored at least 56 papers between 1996 and 2024.

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Bibliography

2024
A multiscale cavity method for sublinear-rank symmetric matrix factorization.
CoRR, 2024

2023
Fundamental limits of overparametrized shallow neural networks for supervised learning.
CoRR, 2023

Matrix Inference in Growing Rank Regimes.
CoRR, 2023

Capacity-Achieving Sparse Regression Codes via Vector Approximate Message Passing.
Proceedings of the IEEE International Symposium on Information Theory, 2023

Mismatched estimation of non-symmetric rank-one matrices corrupted by structured noise.
Proceedings of the IEEE International Symposium on Information Theory, 2023

2022
Bayes-optimal limits in structured PCA, and how to reach them.
CoRR, 2022

The mighty force: statistical inference and high-dimensional statistics.
CoRR, 2022

The price of ignorance: how much does it cost to forget noise structure in low-rank matrix estimation?
Proceedings of the Advances in Neural Information Processing Systems 35: Annual Conference on Neural Information Processing Systems 2022, 2022

Sparse superposition codes with rotational invariant coding matrices for memoryless channels.
Proceedings of the IEEE Information Theory Workshop, 2022

Sparse superposition codes under VAMP decoding with generic rotational invariant coding matrices.
Proceedings of the IEEE International Symposium on Information Theory, 2022

2021
Adaptive Path Interpolation Method for Sparse Systems: Application to a Censored Block Model.
IEEE Trans. Inf. Theory, 2021

Statistical limits of dictionary learning: random matrix theory and the spectral replica method.
CoRR, 2021

Performance of Bayesian linear regression in a model with mismatch.
CoRR, 2021

2020
Mutual Information and Optimality of Approximate Message-Passing in Random Linear Estimation.
IEEE Trans. Inf. Theory, 2020

High-dimensional inference: a statistical mechanics perspective.
CoRR, 2020

Strong replica symmetry for high-dimensional disordered log-concave Gibbs measures.
CoRR, 2020

Strong replica symmetry in high-dimensional optimal Bayesian inference.
CoRR, 2020

Information theoretic limits of learning a sparse rule.
Proceedings of the Advances in Neural Information Processing Systems 33: Annual Conference on Neural Information Processing Systems 2020, 2020

All-or-nothing statistical and computational phase transitions in sparse spiked matrix estimation.
Proceedings of the Advances in Neural Information Processing Systems 33: Annual Conference on Neural Information Processing Systems 2020, 2020

High-dimensional rank-one nonsymmetric matrix decomposition: the spherical case.
Proceedings of the IEEE International Symposium on Information Theory, 2020

Information-theoretic limits of a multiview low-rank symmetric spiked matrix model.
Proceedings of the IEEE International Symposium on Information Theory, 2020

2019
Universal Sparse Superposition Codes With Spatial Coupling and GAMP Decoding.
IEEE Trans. Inf. Theory, 2019

0-1 phase transitions in sparse spiked matrix estimation.
CoRR, 2019

Blind calibration for compressed sensing: State evolution and an online algorithm.
CoRR, 2019

Overlap matrix concentration in optimal Bayesian inference.
CoRR, 2019

The adaptive interpolation method for proving replica formulas. Applications to the Curie-Weiss and Wigner spike models.
CoRR, 2019

Mutual Information for Low-Rank Even-Order Symmetric Tensor Factorization.
Proceedings of the 2019 IEEE Information Theory Workshop, 2019

Mutual Information for the Stochastic Block Model by the Adaptive Interpolation Method.
Proceedings of the IEEE International Symposium on Information Theory, 2019

Blind Calibration for Sparse Regression: A State Evolution Analysis.
Proceedings of the 8th IEEE International Workshop on Computational Advances in Multi-Sensor Adaptive Processing, 2019

Concentration of the Matrix-Valued Minimum Mean-Square Error in Optimal Bayesian Inference.
Proceedings of the 8th IEEE International Workshop on Computational Advances in Multi-Sensor Adaptive Processing, 2019

2018
Rank-one matrix estimation: analysis of algorithmic and information theoretic limits by the spatial coupling method.
CoRR, 2018

Entropy and mutual information in models of deep neural networks.
Proceedings of the Advances in Neural Information Processing Systems 31: Annual Conference on Neural Information Processing Systems 2018, 2018

The committee machine: Computational to statistical gaps in learning a two-layers neural network.
Proceedings of the Advances in Neural Information Processing Systems 31: Annual Conference on Neural Information Processing Systems 2018, 2018

The Mutual Information in Random Linear Estimation Beyond i.i.d. Matrices.
Proceedings of the 2018 IEEE International Symposium on Information Theory, 2018

Adaptive Path Interpolation for Sparse Systems: Application to a Simple Censored Block Model.
Proceedings of the 2018 IEEE International Symposium on Information Theory, 2018

Optimal Errors and Phase Transitions in High-Dimensional Generalized Linear Models.
Proceedings of the Conference On Learning Theory, 2018

2017
Approximate Message-Passing Decoder and Capacity Achieving Sparse Superposition Codes.
IEEE Trans. Inf. Theory, 2017

Phase Transitions, Optimal Errors and Optimality of Message-Passing in Generalized Linear Models.
CoRR, 2017

The stochastic interpolation method: A simple scheme to prove replica formulas in Bayesian inference.
CoRR, 2017

Generalized approximate message-passing decoder for universal sparse superposition codes.
Proceedings of the 2017 IEEE International Symposium on Information Theory, 2017

I-MMSE relations in random linear estimation and a sub-extensive interpolation method.
Proceedings of the 2017 IEEE International Symposium on Information Theory, 2017

The layered structure of tensor estimation and its mutual information.
Proceedings of the 55th Annual Allerton Conference on Communication, 2017

2016
Mutual information for symmetric rank-one matrix estimation: A proof of the replica formula.
Proceedings of the Advances in Neural Information Processing Systems 29: Annual Conference on Neural Information Processing Systems 2016, 2016

Threshold saturation of spatially coupled sparse superposition codes for all memoryless channels.
Proceedings of the 2016 IEEE Information Theory Workshop, 2016

Proof of threshold saturation for spatially coupled sparse superposition codes.
Proceedings of the IEEE International Symposium on Information Theory, 2016

The mutual information in random linear estimation.
Proceedings of the 54th Annual Allerton Conference on Communication, 2016

2015
Statistical physics and approximate message passing algorithms for sparse linear estimation problems in signal processing and coding theory. (Physique statistique et algorithme approximé de passage de messages pour les problèmes parcimonieux d'estimation linéaire en traitement du signal et théorie du codage).
PhD thesis, 2015

Scampi: a robust approximate message-passing framework for compressive imaging.
CoRR, 2015

Statistical physics and approximate message-passing algorithms for sparse linear estimation problems in signal processing and coding theory.
CoRR, 2015

2014
Error correcting codes and spatial coupling.
CoRR, 2014

Replica analysis and approximate message passing decoder for superposition codes.
Proceedings of the 2014 IEEE International Symposium on Information Theory, Honolulu, HI, USA, June 29, 2014

2013
The hard-core model on random graphs revisited.
CoRR, 2013

Compressed sensing and Approximate Message Passing with spatially-coupled Fourier and Hadamard matrices.
CoRR, 2013

Robust error correction for real-valued signals via message-passing decoding and spatial coupling.
Proceedings of the 2013 IEEE Information Theory Workshop, 2013

2012
Compressed sensing of approximately-sparse signals: Phase transitions and optimal reconstruction.
Proceedings of the 50th Annual Allerton Conference on Communication, 2012

1996
Serial Fault Emulation.
Proceedings of the 33st Conference on Design Automation, 1996


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