19 April 2018, 10:00, salle de séminaire du CERMICS
Going beyond failure in geomechanics: From bifurcation theory to strain localization and earthquake control
4 May 2018, 10:00, salle de séminaire du CERMICS
17 May 2018, 14:00, salle F102
Solid Harmonic Wavelet Scattering for Predictions of Molecule Properties
We present a machine learning algorithm for the prediction of molecule properties inspired by ideas from density functional theory : using Gaussian-type orbital functions and surrogate electronic densities of the molecule, we compute invariant coefficients that account for different scales and types of interactions. On these coefficients, a multi-linear regression is fitted to predict various physical properties of molecules. Numerical experiments show that the method can achieve near state of the art performance, even with relatively few training examples, and reduced size predictions achieve performance comparable to DFT precision while being partially interpretable.
18 May 2018, 14:00, salle de séminaire du CERMICS
The zero relaxation limit for the Aw-Rascle-Zhang traffic flow model
In this talk we will detail the mathematical behavior of the Aw-Rascle-Zhang model with relaxation. This model, which consists in a 2×2 hyperbolic system of balance laws, can now be considered as a classical traffic flow model. In a Lagrangian setting, we use the Wave-Front-Tracking method with splitting technique to construct a sequence of approximate solutions. We prove that this sequence admits a limit. We then show that the limit is a weak entropy solution of the relaxed system associated to a given initial datum with bounded variation. Finally, we prove that this limit converges to a weak solution of the scalar conservation law when the relaxation parameter goes to zero.
Nicolas Garcia Trillos
31 May 2018, 10:00, salle de séminaire du CERMICS
18 June 2018, 14:00, salle de séminaire du CERMICS
Archive of past seminars: here