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Francesco Camilli
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The solution of the deep Boltzmann machine on the Nishimori line
D Alberici, F Camilli, P Contucci, E Mingione
Communications in Mathematical Physics 387, 1191-1214, 2021
292021
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
27*2023
The multi-species mean-field spin-glass on the Nishimori line
D Alberici, F Camilli, P Contucci, E Mingione
Journal of Statistical Physics 182, 1-20, 2021
202021
An inference problem in a mismatched setting: a spin-glass model with Mattis interaction
F Camilli, P Contucci, E Mingione
SciPost Physics 12 (4), 125, 2022
182022
Matrix factorization with neural networks
F Camilli, M Mézard
Physical Review E 107 (6), 064308, 2023
162023
The decimation scheme for symmetric matrix factorization
F Camilli, M Mézard
Journal of Physics A: Mathematical and Theoretical 57 (8), 085002, 2024
82024
Fundamental limits of overparametrized shallow neural networks for supervised learning
F Camilli, D Tieplova, J Barbier
arXiv preprint arXiv:2307.05635, 2023
32023
A Statistical Physics approach to a multi-channel Wigner spiked model
D Alberici, F Camilli, P Contucci, E Mingione
Europhysics Letters 136 (4), 48001, 2022
22022
Central limit theorem for the overlaps on the Nishimori line
F Camilli, P Contucci, E Mingione
arXiv preprint arXiv:2305.19943, 2023
12023
New perspectives in statistical mechanics and high-dimensional inference
F Camilli
Alma Mater Studiorum - Universitŕ di Bologna, 2023
12023
Information limits and Thouless-Anderson-Palmer equations for spiked matrix models with structured noise
J Barbier, F Camilli, M Mondelli, Y Xu
arXiv preprint arXiv:2405.20993, 2024
2024
The Onset of Parisi’s Complexity in a Mismatched Inference Problem
F Camilli, P Contucci, E Mingione
Entropy 26 (1), 42, 2023
2023
Lezioni di meccanica elementare e oltre
F Camilli, P Contucci
Bologna University Press, 2023
2023
Mathematical Methods and Models in Machine Learning
L Ambrosio, M Benzi, P Contucci, D Alberici, J Barbier, F Camilli, ...
2020
Statistical Mechanics Perspectives on Boltzmann Machines
P Contucci, DE Mingione, F Camilli
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Articles 1–15