Concept
Main diagonal
Related publications (21)
Deep Learning Theory Through the Lens of Diagonal Linear Networks
In this PhD manuscript, we explore optimisation phenomena which occur in complex neural networks through the lens of -layer diagonal linear networks. This rudimentary architecture, which consists of a two layer feedforward linear network with a diagonal ...
EPFL2024Preserving the positivity of the deformation gradient determinant in intergrid interpolation by combining RBFs and SVD: Application to cardiac electromechanics
Alfio Quarteroni, Francesco Regazzoni
The accurate, robust and efficient transfer of the deformation gradient tensor between meshes of different resolution is crucial in cardiac electromechanics simulations. This paper presents a novel method that combines rescaled localized Radial Basis Funct ...
Lausanne2023The double exponential runtime is tight for 2-stage stochastic ILPs
Kim-Manuel Klein, Klaus Jansen, Alexandra Anna Lassota
We consider fundamental algorithmic number theoretic problems and their relation to a class of block structured Integer Linear Programs (ILPs) called 2-stage stochastic. A 2-stage stochastic ILP is an integer program of the form min{c(T)x vertical bar Ax = ...
SPRINGER HEIDELBERG2022Charge transport in superionic and melted AgI under a magnetic field studied via molecular dynamics
Charge transport in AgI subject to an external magnetic field is studied via computer simulations. We demonstrate that a recently developed algorithm can effectively complement problematic experiments to detect the ionic Hall effect, and identify previousl ...
Amer Physical Soc2016Numerical simulation of precipitation in multicomponent Ni-base alloys
Alain Jacot, Charles-André Gandin, Luc Rougier, Paolo Di Napoli
A comprehensive particle size distribution model has been developed for the simulation of gamma' precipitation in multicomponent Ni alloys. Nucleation, growth and coarsening of the precipitates are described by a particle size distribution. The growth rate ...
Elsevier2013Simulation de la formation des microstructures dans les superalliages à base de nickel de type AM1 durant la solidification et les traitements thermiques
Nickel base superalloys are used for the manufacturing of monocrystalline turbine blades, due to their outstanding mechanical properties at high temperature. The mechanical properties strongly depend on the presence of γ’ precipitates in the γ matrix. Impr ...
EPFL2013