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Jean Barbier
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Optimal errors and phase transitions in high-dimensional generalized linear models
J Barbier, F Krzakala, N Macris, L Miolane, L Zdeborová
Proceedings of the National Academy of Sciences 116 (12), 5451-5460, 2019
3502019
Entropy and mutual information in models of deep neural networks
M Gabrié, A Manoel, C Luneau, J Barbier, N Macris, F Krzakala, ...
Neural Information Processing Systems (NIPS), 2018, Montréal, CA., 2018
2172018
Mutual information for symmetric rank-one matrix estimation: a proof of the replica formula
J Barbier, M Dia, N Macris, F Krzakala, T Lesieur, L Zdeborova
Neural Information Processing Systems (NIPS), 2016, Barcelona, ES., 2016
214*2016
The adaptive interpolation method: a simple scheme to prove replica formulas in Bayesian inference
J Barbier, N Macris
Probability Theory and Related Fields, 174, 1133-1185, 2017
179*2017
Approximate message-passing decoder and capacity-achieving sparse superposition codes
J Barbier, F Krzakala
IEEE Transactions on Information Theory 63, 4894 - 4927, 2017
1252017
The committee machine: computational to statistical gaps in learning a two-layers neural network
B Aubin, A Maillard, J Barbier, F Krzakala, N Macris, L Zdeborová
Neural Information Processing Systems (NIPS), 2018, Montréal, CA., 2018
1242018
Mutual information and optimality of approximate message-passing in random linear estimation
J Barbier, N Macris, M Dia, F Krzakala
IEEE Transactions on Information Theory 66, 4270 - 4303, 2020
1012020
The mutual information in random linear estimation
J Barbier, M Dia, N Macris, F Krzakala
54th Annual Allerton Conference on Communication, Control, and Computing, 2016
942016
The adaptive interpolation method for proving replica formulas. Applications to the Curie-Weiss and Wigner spike models
J Barbier, N Macris
Journal of Physics A: Mathematical and Theoretical 52 (Disordered serendipity), 2019
722019
The layered structure of tensor estimation and its mutual information
J Barbier, N Macris, L Miolane
55th Annual Allerton Conference on Communication, Control, and Computing, 2017, 2017
722017
The mutual information in random linear estimation beyond iid matrices
J Barbier, N Macris, A Maillard, F Krzakala
2018 IEEE International Symposium on Information Theory (ISIT), Vail, USA., 2018
642018
Approximate message-passing with spatially coupled structured operators, with applications to compressed sensing and sparse superposition codes
J Barbier, C Schülke, F Krzakala
Journal of Statistical Mechanics: Theory and Experiment 2015 (5), P05013, 2015
58*2015
Replica analysis and approximate message passing decoder for superposition codes
J Barbier, F Krzakala
IEEE International Symposium on Information Theory (ISIT), 2014, Honolulu, US., 2014
512014
The hard-core model on random graphs revisited
J Barbier, F Krzakala, L Zdeborová, P Zhang
ELC International Meeting on Inference, Computation, and Spin Glasses …, 2013
492013
All-or-nothing statistical and computational phase transitions in sparse spiked matrix estimation
J Barbier, N Macris, C Rush
Neural Information Processing Systems (NeurIPS), 2020, online, 2020
482020
Proof of threshold saturation for spatially coupled sparse superposition codes
J Barbier, M Dia, N Macris
International Symposium on Information Theory (ISIT) 2016, Barcelona, Spain., 2016
382016
Fundamental limits in structured principal component analysis and how to reach them
J Barbier, F Camilli, M Mondelli, M Sáenz
Proceedings of the National Academy of Sciences 120 (30), e2302028120, 2023
37*2023
Strong replica symmetry in high-dimensional optimal Bayesian inference
J Barbier, D Panchenko
Communications in Mathematical Physics 393, 1199–1239, 2020
342020
Universal sparse superposition codes with spatial coupling and GAMP decoding
J Barbier, M Dia, N Macris
IEEE Transactions on Information Theory 65, 5618 - 5642, 2019
342019
Mutual information for low-rank even-order symmetric tensor factorization
J Barbier, C Luneau, N Macris
Information and Inference: a Journal of the IMA 22, 2020
32*2020
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