2 citations · 4 across the 10 of their papers we have counts for
9 papers · 1 filter
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…
Stability of the scattering transform for deformations with minimal regularity
Fabio Nicola, S. Ivan Trapasso
Within the mathematical analysis of deep convolutional neural networks, the wavelet scattering transform introduced by Stéphane Mallat is a unique example of how the ideas of multi…
Phase space analysis of the Hermite semigroup and applications to nonlinear global well-posedness
Divyang G. Bhimani, Ramesh Manna, Fabio Nicola +2
We study the Hermite operator in and its fractional powers , in phase space. Namely, we represent functions via the so-called short-time…
Dispersion, spreading and sparsity of Gabor wave packets for metaplectic and Schrödinger operators
Elena Cordero, Fabio Nicola, S. Ivan Trapasso
Sparsity properties for phase-space representations of several types of operators have been extensively studied in recent papers, including pseudodifferential, Fourier integral and…
Almost Diagonalization of Pseudodifferential Operators
S. Ivan Trapasso
In this review we focus on the almost diagonalization of pseudodifferential operators and highlight the advantages that time-frequency techniques provide here. In particular, we re…
Linear perturbations of the Wigner transform and the Weyl quantization
Dominik Bayer, Elena Cordero, Karlheinz Gröchenig +1
We study a class of quadratic time-frequency representations that, roughly speaking, are obtained by linear perturbations of the Wigner transform. They satisfy Moyal's formula by d…