We propose a fast and scalable polyatomic Frank-Wolfe (P-FW) algorithm for the resolution
of high-dimensional LASSO regression problems. This algorithm improves upon traditional …

We study the problem of one-dimensional regression of data points with total-variation (TV)
regularization (in the sense of measures) on the second derivative, which is known to …

We introduce a general framework for the reconstruction of periodic multivariate functions
from finitely many and possibly noisy linear measurements. The reconstruction task is …

Beside the minimizationof the prediction error, two of the most desirable properties of a
regression scheme are stability and interpretability. Driven by these principles, we propose …

We propose nonparametric estimators for the second-order central moments of possibly
anisotropic spherical random fields, within a functional data analysis context. We consider a …

Analysis and synthesis are key steps of the radio-interferometric imaging process, serving as
a bridge between visibility and sky domains. They can be expressed as partial Fourier …

The vast majority of the energy consumed in the world is coming from burning fossil fuels.
The natural reserves of these fuels have reached a critical level in the last years and their …

This paper studies the continuous-domain inverse problem of recovering Radon measures
on the one-dimensional torus from low-frequency Fourier coefficients, where K c is the cutoff …

We propose nonparametric estimators for the second-order central moments of spherical
random fields within a functional data context. We consider a measurement framework …

The goal of this thesis is to study continuous-domain inverse problems for the reconstruction
of sparse signals and to develop efficient algorithms to solve such problems …