Prof. Dr. Alessio Figalli

Applied Mathematics

Published/accepted papers

  1. Infinite-width limit of deep linear neural networks (with L. Chizat, M. Colombo, X. Fernández-Real)
    Comm. Pure Appl. Math., to appear
  2. Global sensitivity analysis via optimal transport (with E. Borgonovo, E. Plischke and G. Savaré)
    Management Science, to appear
  3. Strategic execution trajectories (with G. Bordigoni, A. Ledford, and P. Ustinov)
    Applied Mathematical Finance 29 (2022), no. 4, 288-330.
  4. The power of quantum neural networks (with A. Abbas, D. Sutter, C. Zoufal, A. Lucchi, and S. Woerner)
    Nat. Comput. Sci. 1 (2021), 403-409.

Submitted papers

  1. Effective dimension of machine learning models (with A. Abbas, D. Sutter, and S. Woerner)
  2. A two-scale complexity measure for deep learning models (with M. Datres, G. Leonardi, and D. Sutter)