Alessandro Felisi
ABOUT
Welcome to my website! I am currently a Ph.D. student at MaLGa (Machine Learning Genoa Center), in the mathematics department of the University of Genoa. I am supervised by Giovanni S. Alberti and Matteo Santacesaria. Previously I obtained my Master degree from the University of Milan (UniMi).
If you want to contact me, please feel free to do so at alessandro.felisi@edu.unige.it.
RESEARCH INTERESTS
My research activity deals mainly with Inverse Problems. The analysis of the models associated to them employ tools from, among others, PDEs and Applied Harmonic Analysis. I am also interested in the question of sample complexity associated to inverse problems, namely how many measurements are needed to reconstruct a signal; the required tools for this line of research come from Compressed Sensing.
PUBLICATIONS
G. S. Alberti, A. Felisi, M. Santacesaria and S. I. Trapasso, Compressed sensing for inverse problems and the sample complexity of the sparse Radon transform, preprint (2023), arXiv:2302.03577.
A. Felisi, L. Rondi, Full discretization and regularization for the Calderón problem, preprint (2021), arXiv:2112.11489.
SCIENTIFIC TALKS
10 - 12 January 2024: “III Young Researchers Workshop in Harmonic Analysis”, Università di Genova (Italy) - Compressed sensing for inverse problems - Invited speaker.
18 - 22 September 2023: “Meeting of the Austrian Mathematical Society”, Karl-Franzens-University, Graz (Austria) - Compressed sensing for the sparse Radon transform.
4 - 8 September 2023: “11th Applied Inverse Problems Conference”, University of Göttingen, Göttingen (Germany) - Compressed sensing for the sparse Radon transform - Invited speaker.
20 - 25 August 2023: “10th International Conference on Industrial and Applied Mathematics”, Waseda University, Tokyo (Japan) - Compressed sensing for the sparse Radon transform - Invited speaker.
3 - 7 July 2023: “29th Nordic Congress of Mathematicians with EMS”, Aalborg University (Denmark) - Compressed sensing for the sparse Radon transform - Invited speaker.
12 - 16 June 2023: “Ulysseus Spring School in PDEs (USSPDE)”, Siviglia (Spain) - Full discretization and regularization for the Calderón problem - Invited speaker.
18 - 22 September 2022: “Second Conference of Young Applied Mathematicians in Arenzano”, Arenzano, Genova (Italy) - Generalized compressed sensing for inverse problems.
12 - 16 September 2022: “8th International Conference on Computational Harmonic Analysis”, Ingolstadt (Germany) - Sample complexity of ill-posed inverse problems via compressed sensing.
30 May - 01 June 2022: “XLI Convegno di Analisi Armonica”, Università di Genova (Italy) - Generalized compressed sensing for inverse problems.