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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.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…