10 citations · 20 across the 12 of their papers we have counts for
8 papers · 1 filter
The Critical Smoothness of Generalized Functions
Julien Fageot, John Paul Ward
For each integrability parameter , the critical smoothness of a periodic generalized function , denoted by is the supremum over the smoothness paramet…
On the Uniqueness of Solutions for the Basis Pursuit in the Continuum
Thomas Debarre, Quentin Denoyelle, Julien Fageot
This paper studies the continuous-domain inverse problem of recovering Radon measures on the one-dimensional torus from low-frequency Fourier coefficients, where Kc is the cutoff f…
Entropic Compressibility of Lévy Processes
Julien Fageot, Alireza Fallah, Thibaut Horel
In contrast to their seemingly simple and shared structure of independence and stationarity, Lévy processes exhibit a wide variety of behaviors, from the self-similar Wiener proces…
TV-based Reconstruction of Periodic Functions
Julien Fageot, Matthieu Simeoni
We introduce a general framework for the reconstruction of periodic multivariate functions from finitely many and possibly noisy linear measurements. The reconstruction task is for…
3D Solid Spherical Bispectrum CNNs for Biomedical Texture Analysis
Valentin Oreiller, Vincent Andrearczyk, Julien Fageot +2
Locally Rotation Invariant (LRI) operators have shown great potential in biomedical texture analysis where patterns appear at random positions and orientations. LRI operators can b…
Local Rotation Invariance in 3D CNNs
Vincent Andrearczyk, Julien Fageot, Valentin Oreiller +2
Locally Rotation Invariant (LRI) image analysis was shown to be fundamental in many applications and in particular in medical imaging where local structures of tissues occur at arb…