51 citations · 388 across the 44 of their papers we have counts for
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Stochastic Generalized Sampling
Luca Finotti, Matteo Santacesaria
Reconstructing an infinite-dimensional signal from a finite set of measurements is a fundamental problem in approximation theory and signal processing. While the generalized sampli…
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…
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…
Inverse problems on low-dimensional manifolds
Giovanni S. Alberti, Ángel Arroyo, Matteo Santacesaria
We consider abstract inverse problems between infinite-dimensional Banach spaces. These inverse problems are typically nonlinear and ill-posed, making the inversion with limited an…