

High-dimentional classification with deep neural networks: decision boundaries, noise, and margin
De Philipp Petersen


New dynamical low-complexity approximations for the Schrödinger equation
De Virginie Ehrlacher
Apparaît dans les collections : Multivariate approximation and interpolation with applications - MAIA / Approximation et interpolation à plusieurs variables et applications - MAIA, Exposés de recherche
Multigrid is an iterative method for solving large linear systems of equations whose Toeplitz system matrix is positive definite. One of the crucial steps of any Multigrid method is based on multivariate subdivision. We derive sufficient conditions for convergence and optimality of Multigrid in terms of trigonometric polynomials associated with the corresponding subdivision schemes. (This is a joint work with Marco Donatelli, Lucia Romani and Valentina Turati).