no code implementations • 13 Mar 2024 • Francesca Bartolucci, Ernesto de Vito, Lorenzo Rosasco, Stefano Vigogna
Studying the function spaces defined by neural networks helps to understand the corresponding learning models and their inductive bias.
1 code implementation • NeurIPS 2023 • Bogdan Raonić, Roberto Molinaro, Tim De Ryck, Tobias Rohner, Francesca Bartolucci, Rima Alaifari, Siddhartha Mishra, Emmanuel de Bézenac
Although very successfully used in conventional machine learning, convolution based neural network architectures -- believed to be inconsistent in function space -- have been largely ignored in the context of learning solution operators of PDEs.
no code implementations • 20 Sep 2021 • Francesca Bartolucci, Ernesto de Vito, Lorenzo Rosasco, Stefano Vigogna
Characterizing the function spaces corresponding to neural networks can provide a way to understand their properties.