All Stories

  1. Fundamental limits of overparametrized shallow neural networks for supervised learning

    Article • Bollettino dell Unione Matematica Italiana, October 2025, Springer Science + Business Media

    Francesco Camilli

  2. Phase Diagram of Extensive-Rank Symmetric Matrix Denoising beyond Rotational Invariance

    Article • Physical Review X, June 2025, American Physical Society (APS)

    Francesco Camilli

  3. On the Phase Diagram of the Multiscale Mean-Field Spin-Glass

    Article • Annales Henri Poincaré, May 2025, Springer Science + Business Media

    Francesco Camilli

  4. Limit Theorems for the Non-Convex Multispecies Curie–Weiss Model

    Article • Mathematics, April 2025, MDPI AG

    Francesco Camilli

  5. Information limits and Thouless-Anderson-Palmer equations for spiked matrix models with structured noise

    Article • Physical Review Research, January 2025, American Physical Society (APS)

    Francesco Camilli

  6. Central limit theorem for the overlaps in mean-field spin glasses on the Nishimori line

    Article • Electronic Journal of Probability, January 2025, Institute of Mathematical Statistics

    Francesco Camilli

  7. The decimation scheme for symmetric matrix factorization

    Article • Journal of Physics A Mathematical and Theoretical, January 2024, Institute of Physics Publishing

    Francesco Camilli

  8. The Onset of Parisi’s Complexity in a Mismatched Inference Problem

    Article • Entropy, December 2023, MDPI AG

    Francesco Camilli

  9. Performance limits of Principal Components Analysis for large structured data sets.

    Article • Proceedings of the National Academy of Sciences, July 2023, Proceedings of the National Academy of Sciences

    Jean Barbier, Francesco Camilli, Marco Mondelli

  10. Matrix factorization with neural networks

    Article • June 2023, American Physical Society (APS)

    Francesco Camilli

  11. An inference problem in a mismatched setting: a spin-glass model with Mattis interaction

    Article • SciPost Physics, April 2022, Stichting SciPost

    Francesco Camilli

  12. A Statistical Physics approach to a multi-channel Wigner spiked model

    Article • EPL (Europhysics Letters), November 2021, Institute of Physics Publishing

    Francesco Camilli

  13. The Solution of the Deep Boltzmann Machine on the Nishimori Line

    Article • Communications in Mathematical Physics, July 2021, Springer Science + Business Media

    Francesco Camilli

  14. The Multi-species Mean-Field Spin-Glass on the Nishimori Line

    Article • Journal of Statistical Physics, January 2021, Springer Science + Business Media

    Francesco Camilli