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Antoine Maillard
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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
Journal of Statistical Mechanics: Theory and Experiment 2019 (12), 124023, 2019
1132019
Islands of stability and recurrence times in AdS
SR Green, A Maillard, L Lehner, SL Liebling
Physical Review D 92 (8), 084001, 2015
702015
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), 1390-1394, 2018
642018
Phase Retrieval: From Computational Imaging to Machine Learning: A tutorial
J Dong, L Valzania, A Maillard, T Pham, S Gigan, M Unser
IEEE Signal Processing Magazine 40 (1), 45-57, 2023
612023
The spiked matrix model with generative priors
B Aubin, B Loureiro, A Maillard, F Krzakala, L Zdeborová
IEEE Transactions on Information Theory 67 (2), 1156-1181, 2020
612020
Phase retrieval in high dimensions: Statistical and computational phase transitions
A Maillard, B Loureiro, F Krzakala, L Zdeborová
Advances in Neural Information Processing Systems 33, 11071-11082, 2020
612020
Landscape complexity for the empirical risk of generalized linear models
A Maillard, GB Arous, G Biroli
Mathematical and Scientific Machine Learning, 287-327, 2020
442020
High-temperature expansions and message passing algorithms
A Maillard, L Foini, AL Castellanos, F Krzakala, M Mézard, L Zdeborová
Journal of Statistical Mechanics: Theory and Experiment 2019 (11), 113301, 2019
442019
Perturbative construction of mean-field equations in extensive-rank matrix factorization and denoising
A Maillard, F Krzakala, M Mézard, L Zdeborová
Journal of Statistical Mechanics: Theory and Experiment 2022 (8), 083301, 2022
362022
Quantum Monte Carlo algorithm for out-of-equilibrium Green's functions at long times
C Bertrand, O Parcollet, A Maillard, X Waintal
Physical Review B 100 (12), 125129, 2019
332019
Vlasov description of the effects of nonlinear chromaticity on transverse coherent beam instabilities
M Schenk, X Buffat, K Li, A Maillard
Physical Review Accelerators and Beams 21 (8), 084402, 2018
202018
Optimal denoising of rotationally invariant rectangular matrices
E Troiani, V Erba, F Krzakala, A Maillard, L Zdeborová
Mathematical and Scientific Machine Learning, 97-112, 2022
182022
Construction of optimal spectral methods in phase retrieval
A Maillard, F Krzakala, YM Lu, L Zdeborová
Mathematical and Scientific Machine Learning, 693-720, 2022
162022
On free energy barriers in Gaussian priors and failure of cold start MCMC for high-dimensional unimodal distributions
AS Bandeira, A Maillard, R Nickl, S Wang
Philosophical Transactions of the Royal Society A 381 (2247), 20220150, 2023
152023
Large deviations of extreme eigenvalues of generalized sample covariance matrices
A Maillard
Europhysics Letters 133 (2), 20005, 2021
72021
Injectivity of ReLU networks: perspectives from statistical physics
A Maillard, AS Bandeira, D Belius, I Dokmanić, S Nakajima
Applied and Computational Harmonic Analysis, 101736, 2024
52024
Fitting an ellipsoid to a quadratic number of random points
AS Bandeira, A Maillard, S Mendelson, E Paquette
arXiv preprint arXiv:2307.01181, 2023
52023
RF Quadrupole Structures for Transverse Landau Damping in Circular Accelerators
M Schenk, X Buffat, LR Carver, A Grudiev, K Li, A Maillard, E Métral, ...
Proc. of International Particle Accelerator Conference, 2516-2519, 2017
42017
Bayes-optimal learning of an extensive-width neural network from quadratically many samples
A Maillard, E Troiani, S Martin, F Krzakala, L Zdeborová
arXiv preprint arXiv:2408.03733, 2024
22024
Fitting an ellipsoid to random points: predictions using the replica method
A Maillard, D Kunisky
IEEE Transactions on Information Theory, 2024
22024
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