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Francesco Camilli
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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
38*2023
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
362021
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
242022
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
242021
Matrix factorization with neural networks
F Camilli, M Mézard
Physical Review E 107 (6), 064308, 2023
232023
The decimation scheme for symmetric matrix factorization
F Camilli, M Mézard
Journal of Physics A: Mathematical and Theoretical 57 (8), 085002, 2024
122024
Fundamental limits of overparametrized shallow neural networks for supervised learning
F Camilli, D Tieplova, J Barbier
arXiv preprint arXiv:2307.05635, 2023
102023
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
32022
On the phase diagram of extensive-rank symmetric matrix denoising beyond rotational invariance
J Barbier, F Camilli, J Ko, K Okajima
arXiv preprint arXiv:2411.01974, 2024
22024
Central limit theorem for the overlaps on the Nishimori line
F Camilli, P Contucci, E Mingione
arXiv preprint arXiv:2305.19943, 2023
22023
New perspectives in statistical mechanics and high-dimensional inference
F Camilli
Alma Mater Studiorum - Università di Bologna, 2023
22023
Information limits and Thouless-Anderson-Palmer equations for spiked matrix models with structured noise
J Barbier, F Camilli, Y Xu, M Mondelli
Physical Review Research 7 (1), 013081, 2025
12025
The onset of Parisi’s complexity in a mismatched inference problem
F Camilli, P Contucci, E Mingione
Entropy 26 (1), 42, 2023
12023
Optimal generalisation and learning transition in extensive-width shallow neural networks near interpolation
J Barbier, F Camilli, MT Nguyen, M Pastore, R Skerk
arXiv preprint arXiv:2501.18530, 2025
2025
On the phase diagram of the multiscale mean-field spin-glass
F Camilli, P Contucci, E Mingione, D Tantari
arXiv preprint arXiv:2412.00992, 2024
2024
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
F Camilli
Teoria classica dei campi: campo elettromagnetico e radiazione di cariche in moto
F Camilli
Statistical Mechanics Perspectives on Boltzmann Machines
P Contucci, DE Mingione, F Camilli
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Artiklar 1–20