Delft Institute of Applied Mathematics, TU Delft
Mekelweg 4, 2628 CD Delft, The Netherlands
f.bartolucci@tudelft.nl
I'm an assistant professor in the Analysis research group at the Delft Institute of Applied Mathematics, TU Delft. Before joining TU Delft, I was a postdoc at the Department of Mathematics at ETH Zürich in the research group of Prof. Rima Alaifari.
I obtained my PhD degree from the University of Genova under the supervision of Prof. Filippo De Mari and Prof. Ernesto De Vito with the thesis Radon Transforms: Unitarization, Inversion and Wavefront Sets.
My research interests include applied harmonic analysis, group representation theory, functional analysis of neural networks and their interactions with inverse problems.
News - Upcoming Talks
New preprint A Lipschitz spaces view of infinitely wide shallow neural networks with M. Carioni, J.A. Iglesias, Y. Korolev, E. Naldi and S. Vigogna: Interpreting an infinitely wide shallow neural network through the lens of Kantorovich-Rubinstein duality combines reproducing kernel Banach spaces of neural networks and their associated empirical risk minimization problems with optimal transport insights.
Royal Society International Exchanges grant on Operator Learning in Inverse Problems, grant n. IES\R1\241209. Co-PI: Yury Korolev from University of Bath
May 2025 - I will be a speaker at the workshop Phase Retrieval and Banach Lattices at the Forschungsinstitut für Mathematik (FIM) at ETH Zürich
Selected Publications & Preprints
A Lipschitz spaces view of infinitely wide shallow neural networks (with M. Carioni, J.A. Iglesias, Y. Korolev, E. Naldi, S. Vigogna), 2024.
Neural reproducing kernel Banach spaces and representer theorems for deep networks (with E. De Vito, L. Rosasco and S. Vigogna), 2024.
Unique wavelet sign retrieval from samples without bandlimiting (with R. Alaifari and M. Wellershoff). Proc. Amer. Math. Soc. Ser. B, 11:330-344, 2024.
F. Bartolucci, E. de Bézenac, B. Raonić, R. Molinaro, S. Mishra, R. Alaifari, Representation Equivalent Neural Operators: a Framework for Alias-free Operator Learning, NeurIPS 2023.
Phase retrieval of bandlimited functions for the wavelet transform (with R. Alaifari and M. Wellershoff). Appl. Comput. Harmon. Anal., 64:102-117, 2023.
Understanding neural networks with reproducing kernel Banach spaces (with E. De Vito, L. Rosasco and S. Vigogna). Appl. Comput. Harmon. Anal., 62:194-236, 2023.
Unitarization and Inversion Formulae for the Radon Transform between Dual Pairs (with G. S. Alberti, F. De Mari and E. De Vito). SIAM J. Math. Anal., 51(6):4356–4381, 2019.
The Radon Transform Intertwines Wavelets and Shearlets (with F. De Mari, E. De Vito and F. Odone). Appl. Comput. Harmon. Anal., 47(3):822-847, 2019.
Short Curriculum Vitae
Apr 2023 - present: Assistant Professor, Delft Institute of Applied Mathematics, TU Delft
Mar 2020 - Mar 2023: Postdoctoral Researcher, Department of Mathematics, ETH Zürich
Nov 2016 - Feb 2020: PhD degree in Mathematics and Applications, University of Genova
Oct 2014 - Oct 2016: MSc degree in Mathematics, University of Genova
Sep 2011 - Sep 2014: BSc degree in Mathematics, University of Genova