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 | 291* | 2019 |
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 | 200 | 2018 |
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 | 197* | 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 | 161* | 2017 |
Approximate message-passing decoder and capacity-achieving sparse superposition codes J Barbier, F Krzakala IEEE Transactions on Information Theory 63, 4894 - 4927, 2017 | 115 | 2017 |
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 | 105 | 2018 |
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 | 94 | 2020 |
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 | 91 | 2016 |
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 | 69 | 2019 |
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 | 67 | 2017 |
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 | 64 | 2018 |
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 | 55* | 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 | 49 | 2014 |
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 | 43 | 2013 |
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 | 42 | 2020 |
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 | 37 | 2016 |
Overlap matrix concentration in optimal Bayesian inference J Barbier Information and Inference: a Journal of the IMA 8, 2019 | 32 | 2019 |
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 | 31* | 2023 |
Rank-one matrix estimation: analysis of algorithmic and information theoretic limits by the spatial coupling method J Barbier, M Dia, N Macris, F Krzakala, L Zdeborová | 30 | 2018 |
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 | 28* | 2020 |