1 code implementation • 8 Mar 2024 • Adrian Jarret, Valérie Costa, Julien Fageot
Consequently, we identify that solving the optimization problem can be decoupled, first identifying the sparse solution as a solution of a modified single-variable problem, then deducing the smooth component.
no code implementations • 28 Apr 2022 • Adrian Jarret, Matthieu Simeoni, Julien Fageot
Nous d\'emontrons sa sup\'eriorit\'e par rapport aux m\'ethodes proximales dans des situations en grande dimension avec des mesures de Fourier, lors de la r\'esolution de probl\`emes simul\'es inspir\'es de la radio-interf\'erom\'etrie.
1 code implementation • 6 Dec 2021 • Adrian Jarret, Julien Fageot, Matthieu Simeoni
We propose a fast and scalable Polyatomic Frank-Wolfe (P-FW) algorithm for the resolution of high-dimensional LASSO regression problems.
1 code implementation • 28 Apr 2020 • Valentin Oreiller, Vincent Andrearczyk, Julien Fageot, John O. Prior, Adrien Depeursinge
We investigate the benefits of using the bispectrum over the spectrum in the design of a LRI layer embedded in a shallow Convolutional Neural Network (CNN) for 3D image analysis.
1 code implementation • 19 Mar 2020 • Vincent Andrearczyk, Julien Fageot, Valentin Oreiller, Xavier Montet, Adrien Depeursinge
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 arbitrary rotations.
no code implementations • 24 Apr 2019 • Michael Unser, Julien Fageot
In short, the native space for ${\rm L}$ and the (dual) norm $\|\cdot\|_{\mathcal{X}'}$ is the largest space of functions $f: \mathbb{R}^d \to \mathbb{R}$ such that $\|{\rm L} f\|_{\mathcal{X}'}<\infty$, subject to the constraint that the growth-restricted null space of ${\rm L}$be finite-dimensional.
no code implementations • 23 Oct 2018 • Julien Fageot, Virginie Uhlmann, Zsuzsanna Püspöki, Benjamin Beck, Michael Unser, Adrien Depeursinge
We provide a complete pipeline for the detection of patterns of interest in an image.
no code implementations • 8 Aug 2017 • Julien Fageot, Thomas Humeau
It is possible to construct L\'evy white noises as generalized random processes in the sense of Gel'fand and Vilenkin, or as an independently scattered random measures introduced by Rajput and Rosinski.
Probability 60G20, 60G57, 60G51, 60H15, 60H40