108 citations · 375 across the 30 of their papers we have counts for
Showing 2021Show all
3 papers · 1 filter
math.AP2021★ 1 cited
Continuous limits of residual neural networks in case of large input data
M. Herty, A. Thuenen, T. Trimborn +1
Residual deep neural networks (ResNets) are mathematically described as interacting particle systems. In the case of infinitely many layers the ResNet leads to a system of coupled…
physics.soc-ph2021★ 1 cited
Model of vehicle interactions with autonomous cars and its properties
M. Herty, G. Puppo, G. Visconti
We study a hierarchy of models based on kinetic equations for the descriptions of traffic flow in presence of autonomous and human--driven vehicles. The autonomous cars considered…
math.NA2021★ 3 cited
Quinpi: integrating conservation laws with CWENO implicit methods
G. Puppo, M. Semplice, G. Visconti
Many interesting applications of hyperbolic systems of equations are stiff, and require the time step to satisfy restrictive stability conditions. One way to avoid small time steps…