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20212026
most citedCompressed sensing for inverse problems and the sample complexity of the sparse Radon transform

4 citations · 6 across the 6 of their papers we have counts for

collaborators

6 papers

math.FA2026

On the sample complexity of Fourier compressed sensing: wavelets versus shearlets

Giovanni S. Alberti, Alessandro Felisi, Işıl Güleken

This paper explores the measurement requirements for signal recovery in compressed sensing, comparing the performance of shearlet frames with traditional wavelet systems. Direction…

math.AP2026

Instability estimates for the recovery of absorption in the diffusive regime of radiative transfer

Elena Demattè, Alessandro Felisi, Angkana Rüland +1

We revisit the instability properties of the recovery of the absorption coefficient for the radiative transfer equation in the diffusive regime. To this end, we develop a rather ro…

math.AP2025

Recovery guarantees for compressed sensing photoacoustic tomography

Alessandro Felisi

Photoacoustic tomography is an emerging medical imaging technology whose primary aim is to map the high-contrast optical properties of biological tissues by leveraging high-resolut…

math.FA2025

Compressed sensing for inverse problems II: applications to deconvolution, source recovery, and MRI

Giovanni S. Alberti, Alessandro Felisi, Matteo Santacesaria +1

This paper extends the sample complexity theory for ill-posed inverse problems developed in a recent work by the authors [`Compressed sensing for inverse problems and the sample co…

math.FA2023★ 4 cited

Compressed sensing for inverse problems and the sample complexity of the sparse Radon transform

Giovanni S. Alberti, Alessandro Felisi, Matteo Santacesaria +1

Compressed sensing allows for the recovery of sparse signals from few measurements, whose number is proportional to the sparsity of the unknown signal, up to logarithmic factors. T…

math.AP2021★ 2 cited

Full discretization and regularization for the Calderón problem

Alessandro Felisi, Luca Rondi

We consider the inverse conductivity problem with discontinuous conductivities. We show in a rigorous way, by a convergence analysis, that one can construct a completely discrete m…