108 citations · 375 across the 30 of their papers we have counts for
5 papers · 1 filter
Mean-field limit of a hybrid system for multi-lane multi-class traffic
Xiaoqian Gong, Benedetto Piccoli, Giuseppe Visconti
This article aims to study coupled mean-field equation and ODEs with discrete events motivated by vehicular traffic flow. Precisely, multi-lane traffic flow in presence of human-dr…
A Stabilization of a Continuous Limit of the Ensemble Kalman Inversion
Dieter Armbruster, Michael Herty, Giuseppe Visconti
The Ensemble Kalman Filter (EnKF) belongs to the class of iterative particle filtering methods and can be used for solving control--to--observable inverse problems. In this context…
From kinetic to macroscopic models and back
M. Herty, G. Puppo, G. Visconti
We study kinetic models for traffic flow characterized by the property of producing backward propagating waves. These waves may be identified with the phenomenon of stop-and-go wav…
Identifying trending coefficients with an ensemble Kalman filter
M. Schwenzer, G. Visconti, M. Ay +3
This paper extends the ensemble Kalman filter (EnKF) for inverse problems to identify trending model coefficients. This is done by repeatedly inflating the ensemble while maintaini…
Mean-Field and Kinetic Descriptions of Neural Differential Equations
M. Herty, T. Trimborn, G. Visconti
Nowadays, neural networks are widely used in many applications as artificial intelligence models for learning tasks. Since typically neural networks process a very large amount of…