Concept
Dérivation (algèbre)
Publications associées (24)
The completeness of the generalized eigenfunctions and an upper bound for the counting function of the transmission eigenvalue problem for Maxwell equations
Hoài-Minh Nguyên, Jean Louis-Alexandre Fornerod
Cakoni and Nguyen recently proposed very general conditions on the coefficients of Maxwell equations for which they established the discreten ess of the set of eigenvalues of the transmission problem and studied their locations. In this paper, we establish ...
2021Chaining Meets Chain Rule: Multilevel Entropic Regularization and Training of Neural Networks
We derive generalization and excess risk bounds for neural networks using a family of complexity measures based on a multilevel relative entropy. The bounds are obtained by introducing the notion of generated hierarchical coverings of neural networks and b ...
MICROTOME PUBL2020Discomfort Glare Cut-Off Values from Field and Laboratory Studies
Jan Wienold, Mandana Sarey Khanie, Clotilde Marie A Pierson, Magali Bodart
For the application of discomfort glare metrics, a categorisation is used, dividing the metric scale into categories of perception. These categories are separated by borderline values, or so-called cut-off values. Recent literature shows that these cut-off ...
2019Engineering Parallel Transmit/Receive Radio-Frequency Coil Arrays for Human Brain MRI at 7 Tesla
Magnetic resonance imaging is widely used in medical diagnosis to obtain anatomical details of the human body in a non-invasive way. Clinical MR scanners typically operate at a static magnetic field strength (B0) of 1.5T or 3T. However, going to higher fie ...
EPFL2019On the Averaged Green’s Function of an Elliptic Equation with Random Coefficients
We consider a divergence-form elliptic difference operator on the lattice Zd, with a coefficient matrix that is an i.i.d. perturbation of the identity matrix. Recently, Bourgain introduced novel techniques from harmonic analysis to prove the convergence of ...
2019On the definition of multi-Koszul modules
In [8] we introduced the notion of multi-Koszul algebra: it is an extension of the definition of generalized Koszul algebra given by R. Berger in [1] for homogeneous algebras (see also [7]) that can be applied to any nonnegatively graded connected algebra ...
2018Using torsion theory to compute the algebraic structure of Hochschild (co)homology
The aim of this article is to provide explicit formulas for the cup product on the Hochschild cohomology of any nonnegatively graded connected algebra and for the cap products on the Hochschild homology of with coefficients in any graded bimodule at the le ...
2018Fréchet means in Wasserstein space
This work studies the problem of statistical inference for Fréchet means in the Wasserstein space of measures on Euclidean spaces, . This question arises naturally from the problem of separating amplitude and phase variation i ...
EPFL2017Detecting Anisotropic Inclusions Through EIT
We study the evolution equation where is the Dirichlet-Neumann operator of a decreasing family of Riemannian manifolds with boundary . We derive a lower bound for the solution of such an equation, and apply it to a quantitative density estimate for the res ...
Springer2017