About

I am a postdoctoral researcher at the Machine Learning Genoa Center (MaLGa), where I work under the supervision of Lorenzo Rosasco.

Prior to that, I completed a PhD in applied mathematics in December 2023 in Toulouse, France, under the supervision of Francois Malgouyres and Francois Bachoc.

Research interests:

  • Physics-informed machine learning
  • Deep learning theory
  • Geometry of ReLU networks
  • Kernel methods

Publications

Google Scholar
  1. Geometry-induced Regularization in Deep ReLU Neural Networks

    Joachim Bona-Pellissier, Francois Malgouyres, Francois Bachoc. Preprint, 2024.

    Consult
  2. Parameter identifiability of a deep feedforward ReLU neural network

    Joachim Bona-Pellissier, Francois Bachoc, Francois Malgouyres. Machine Learning, 2023.

    Consult
  3. Local Identifiability of Deep ReLU Neural Networks: the Theory

    Joachim Bona-Pellissier, Francois Malgouyres, Francois Bachoc. NeurIPS 35, 2022.

    Consult

Talks

  1. 2026
    MATH4AIML - UMI Workshop, Sapienza Universita di Roma, Italy.
  2. 2025
    Representations Neuronales Implicites : des NeRF aux PINN, Institut Henri Poincare, Paris, France.
  3. 2025
    NPTwins, Universita di Messina, Italy.
  4. 2024
    MML seminar, Max Planck Institute MIS + UCLA, online.
  5. 2022
    3IA Doctoral Workshop, MIAI institute, Universite Grenoble Alpes, Grenoble, France.
  6. 2022

Teaching

  • 2023
    Machine Learning tutorial and practical, Paul Sabatier University, Toulouse.
  • 2023
    Linear Algebra tutorial, Universite Toulouse 3 Paul Sabatier.
  • 2022
    Deep Learning practical, graduate mathematics, Toulouse.
  • 2022
    Optimization practical, graduate mathematics, Toulouse.
  • 2020
    Convex Optimization tutorial, Universite Toulouse 1 Capitole.
  • 2020
    Methods of mathematical analysis tutorial, Universite Toulouse 1 Capitole.