Portrait of Matteo Raviola

About Me

I am a PhD student and Doctoral Assistant in the Scientific Computing and Uncertainty Quantification (CSQI) Lab at École Polytechnique Fédérale de Lausanne (EPFL) in Switzerland. My research is in applied mathematics and scientific computing, with a focus on developing efficient and mathematically rigorous algorithms for:

  • Reduced-order modeling for high-dimensional and parametric systems;
  • High-dimensional approximation and uncertainty propagation in models with uncertain inputs;
  • Optimization for physics-constrained systems.

Moreover, I have a strong interest in variational sampling methods for Bayesian inverse problems involving physical systems, and in randomized numerical linear algebra techniques for large-scale PDE problems, which I have explored through the supervision of a number of student projects.

In 2024, I co-organized the summer school NUMRAD24 on numerical methods for random differential models held at EPFL.

Experience & Education

PhD & Doctoral Assistant EPFL, CSQI Lab Nov 2022 - Present
Doctoral Program in Mathematics (EDMA).
Visiting Scholar Courant Institute, New York University Sep 2025 - Apr 2026
Visiting Benjamin Peherstorfer's group.
M.Sc. in Applied Mathematics Politecnico di Torino Oct 2020 - Oct 2022
Final grade: 110/110 cum laude. ASP & Erasmus+ scholarships. Thesis on kernel neural ODEs trained with optimal control and Riemannian optimization, supervised by Fabio Nobile and Claudio Canuto.
B.Sc. in Applied Mathematics Politecnico di Torino 2017 - 2020
Final grade: 110/110 cum laude. Thesis on kinetic models of opinion formation on social networks, supervised by Andrea Tosin.

Selected Publications

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