51 citations · 416 across the 43 of their papers we have counts for
7 papers · 1 filter
Unitarization and Inversion Formulae for the Radon Transform between Dual Pairs
Giovanni S. Alberti, Francesca Bartolucci, Filippo De Mari +1
We consider the Radon transform associated to dual pairs in the sense of Helgason, with and , where , is a closed subgroup of ${…
Essential spectrum for Maxwell's equations
Giovanni S. Alberti, Malcolm Brown, Marco Marletta +1
We study the essential spectrum of operator pencils associated with anisotropic Maxwell equations, with permittivity , permeability and conductivity , on finite…
ADef: an Iterative Algorithm to Construct Adversarial Deformations
Rima Alaifari, Giovanni S. Alberti, Tandri Gauksson
While deep neural networks have proven to be a powerful tool for many recognition and classification tasks, their stability properties are still not well understood. In the past, i…
Calderón's Inverse Problem with a Finite Number of Measurements
Giovanni S. Alberti, Matteo Santacesaria
We prove that an potential in the Schrödinger equation in three and higher dimensions can be uniquely determined from a finite number of boundary measurements, provided…
Lossless Analog Compression
Giovanni Alberti, Helmut Bölcskei, Camillo De Lellis +2
We establish the fundamental limits of lossless analog compression by considering the recovery of arbitrary m-dimensional real random vectors x from the noiseless linear measuremen…
Dynamic Spike Super-resolution and Applications to Ultrafast Ultrasound Imaging
Giovanni S. Alberti, Habib Ammari, Francisco Romero +1
We consider the dynamical super-resolution problem consisting in the recovery of positions and velocities of moving particles from low-frequency static measurements taken over mult…