Research Interests
Applied Harmonic Analysis • Group Representation Theory • Phase Retrieval Problems
Wavelet Analysis • Shearlet Analysis • Radon Transforms • Microlocal Analysis
List of Co-authors
Rima Alaifari • Giovanni S. Alberti • Filippo De Mari • Ernesto De Vito • Matteo Monti
Francesca Odone • Stevan Pilipović • Lorenzo Rosasco • Stefan Steinerberger
Preprints
Neural reproducing kernel Banach spaces and representer theorems for deep networks (with E. De Vito, L. Rosasco and S. Vigogna), 2024. https://arxiv.org/abs/2403.08750
Publications in peer-reviewed scientific journals
On the connection between uniqueness from samples and stability in Gabor phase retrieval (with R. Alaifari, S. Steinerberger and M. Wellershoff). Sampl. Theory Signal Process. Data Anal. 22, 6, 2024. https://doi.org/10.1007/s43670-023-00079-1
Unique wavelet sign retrieval from samples without bandlimiting (with R. Alaifari and M. Wellershoff). Accepted for publication in Proc. Amer. Math. Soc., 2024. http://arxiv.org/abs/2302.08129
Phase retrieval of bandlimited functions for the wavelet transform (with R. Alaifari and M. Wellershoff). Appl. Comput. Harmon. Anal., 64:102-117, 2023. https://doi.org/10.1016/j.acha.2023.01.002
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. https://doi.org/10.1016/j.acha.2022.08.006
Continuity Properties of the Shearlet Transform and the Shearlet Synthesis Operator on the Lizorkin type Spaces (with S. Pilipović and N. Teofanov). Math. Nachr., 295(12), 2022. http://doi.org/10.1002/mana.202000223
Unitarization of the Horocyclic Radon Transform on Homogeneous Trees (with F. De Mari and M. Monti). J. Fourier Anal. Appl. 27, 84, 2021. https://doi.org/10.1007/s00041-021-09884-5
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. https://doi.org/10.1137/18M1225628
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. https://doi.org/10.1016/j.acha.2017.12.005
Shearlets as Multi-scale Radon Transforms (with F. De Mari, E. De Vito and F. Odone). STSIP 17, 1-15, 2018. https://doi.org/10.1007/BF03549609
Peer-reviewed conference proceedings (ML)
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.
B. Raonić, R. Molinaro, T. De Ryck, T. Rohner, F. Bartolucci, R. Alaifari, S. Mishra, E. de Bézenac, Convolutional Neural Operators for robust and accurate learning of PDEs, NeurIPS 2023.
Peer-reviewed conference proceedings (Math)
Uncovering the limits of uniqueness in sampled Gabor phase retrieval: A dense set of counterexamples in L2(R) (with R. Alaifari and M. Wellershoff). 2023 14th International conference on Sampling Theory and Applications (SampTA), Yale University, 2023. https://openreview.net/forum?id=objNb10RN1E
Unitarization and Inversion Formula for the Radon Transform for Hyperbolic Motions (with M. Monti). 2019 13th International conference on Sampling Theory and Applications (SampTA), Bordeaux, France, pp. 1-5, 2019. https://doi.org/10.1109/SampTA45681.2019.9030923
Shearlets as Multi-scale Radon Transforms (with F. De Mari, E. De Vito and F. Odone). 2017 International Conference on Sampling Theory and Applications (SampTA), Tallin, Estonia, pp. 625- 629, 2017. https://doi.org/10.1109/SAMPTA.2017.8024400
Chapters
Unitarization of the Horocyclic Radon Transform on Symmetric Spaces (with F. De Mari and M. Monti). In Harmonic and Applied Analysis, Appl. Numer. Harmon. Anal., Birkhäuser, 2021. https://doi.org/10.1007/978-3-030-86664-8_1
Radon Transform: Dual pairs and Irreducible representations (with G. S. Alberti, F. De Mari and E. De Vito). In Landscapes of Time-Frequency Analysis, Appl. Numer. Harmon. Anal., Birkhäuser, 2020. https://doi.org/10.1007/978-3-030-56005-8_1
The Shearlet Transform and Lizorkin Spaces (with S. Pilipović, N. Teofanov). In Landscapes of Time-Frequency Analysis, Appl. Numer. Harmon. Anal., Birkhäuser, 2020. https://doi.org/10.1007/978-3-030-56005-8_3
Cone-Adapted Shearlets and Radon Transforms (with F. De Mari and E. De Vito). In Advances in Microlocal and Time-Frequency Analysis, Appl. Numer. Harmon. Anal., Birkhäuser, 2019. https://doi.org/10.1007/978-3-030-36138-9_4
Dissertations
Radon Transforms: Unitarization, Inversion and Wavefront Sets. PhD Thesis. https://iris.unige.it//handle/11567/997903