5 papers · 1 filter
The Stability Landscape in Wave-Packet Scattering: Geometric Rigidity and Sharp Sobolev Thresholds
Max Getter, S. Ivan Trapasso
A central challenge in modern harmonic analysis is to quantify the balance between the approximation power of finely resolved multiscale representations and their robustness to non…
A quantum harmonic analysis approach to nonlinear time-frequency concentration
Erling A. T. Svela, S. Ivan Trapasso
We study nonlinear concentration problems for time-frequency distributions in the Cohen class. Using recent techniques from quantum harmonic analysis (QHA) we provide both positive…
Generalized moduli of continuity under irregular or random deformations via multiscale analysis
Fabio Nicola, S. Ivan Trapasso
Motivated by the problem of robustness to deformations of the input for deep convolutional neural networks, we identify signal classes which are inherently stable to irregular defo…
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…