Unitarization and Inversion Formulae for the Radon Transform Between Dual Pairs. - Giovanni S. Alberti; Francesca Bartolucci; Filippo De Mari; Ernesto De Vito (SIAM J. Math. Anal., 2019)

Understanding neural networks with reproducing kernel Banach spaces. - Francesca Bartolucci; Ernesto De Vito; Lorenzo Rosasco; Stefano Vigogna (CoRR, 2021)

Representation Equivalent Neural Operators: a Framework for Alias-free Operator Learning. - Francesca Bartolucci; Emmanuel de Bézenac; Bogdan Raonic; Roberto Molinaro; Siddhartha Mishra; Rima Alaifari (NeurIPS, 2023)

Convolutional Neural Operators for robust and accurate learning of PDEs. - Bogdan Raonic; Roberto Molinaro; Tim De Ryck; Tobias Rohner; Francesca Bartolucci; Rima Alaifari; Siddhartha Mishra; Emmanuel de Bézenac (NeurIPS, 2023)

Are Neural Operators Really Neural Operators? Frame Theory Meets Operator Learning. - Francesca Bartolucci; Emmanuel de Bézenac; Bogdan Raonic; Roberto Molinaro; Siddhartha Mishra; Rima Alaifari (CoRR, 2023)

Neural reproducing kernel Banach spaces and representer theorems for deep networks. - Francesca Bartolucci; Ernesto De Vito; Lorenzo Rosasco; Stefano Vigogna (CoRR, 2024)

A Lipschitz spaces view of infinitely wide shallow neural networks. - Francesca Bartolucci; Marcello Carioni; José A. Iglesias 002; Yury Korolev; Emanuele Naldi; Stefano Vigogna (CoRR, 2024)