In this paper, we address the problem of approximating the atoms of a parametric dictionary A = {a(θ) : θ ∈ Θ}, commonly encountered in the context of sparse representations in "continuous" dictionaries. We focus on the case of translation-invariant dictionaries, where the inner product between a(θ) and a(θ) only depends on the difference θ − θ. We...
Published in Nature Communications
Absent a drug or vaccine, containing epidemic outbreaks is achieved by means of mobility restrictions and lock-downs. Here, the authors propose an alternating quarantine strategy, in which half of the population remains under lockdown while the other half continues to be active, resulting in a dramatic reduction in transmission.
Crooked permutations were introduced twenty years ago since they allow to construct interesting objects in graph theory. The field of applications was extended later. Crooked functions, bijective or not, correspond to APN functions and to some optimal codes. We adopt an unified presentation of crooked functions, explaining the connection with parti...
Let $E$ be an ordinary elliptic curve over a finite field and $g$ be a positive integer. Under some technical assumptions, we give an algorithm to span the isomorphism classes of principally polarized abelian varieties in the isogeny class of $E^g$. The varieties are first described as hermitian lattices over (not necessarily maximal) quadratic ord...
Ces transparents ont pour but de présenter de façon la plus complète possible l'existant du Dictionnaire Electronique de Synomynes (DES), outil du laboratoire CRISCO qui génère de 150.000 à 200.000 requêtes par jour.Les points abordés sont : l'historique, les statistiques, la maintenance, les éléments composants le DES et l'espace sémantique.
International audience
In this paper, we propose several time dependent analytical solutions for the incompressible Euler and Navier-Stokes systems with free surface. The given analytical solutions concerns the hydrostatic and non-hydrostatic Euler and Navier-Stokes systems.
Let K A be a Kummer variety defined as the quotient of an Abelian variety A by the automorphism (−1) of A. Let T * 0 (A) be the co-tangent space at the point 0 of A. Let End(A) be the additive group of endomorphisms of A. There is a well defined map ρ : End(A) → Aut(T * 0 (A)), f → (df) * 0 , where (df) * 0 is the differential of f in 0 acting on T...
We extend the applicability of the popular interior-penalty discontinuous Galerkin (dG) method discretizing advection-diffusion-reaction problems to meshes comprising extremely general, essentially arbitrarily-shaped element shapes. In particular, our analysis allows for curved element shapes, without the use of non-linear elemental maps. The feasi...
