1 citations · 2 across the 4 of their papers we have counts for
11 papers
Recent Trends on Nonlinear Filtering for Inverse Problems
Michael Herty, Elisa Iacomini, Giuseppe Visconti
Among the class of nonlinear particle filtering methods, the Ensemble Kalman Filter (EnKF) has gained recent attention for its use in solving inverse problems. We review the origin…
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…
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…
Reconstruction of traffic speed distributions from kinetic models with uncertainties
M. Herty, A. Tosin, G. Visconti +1
In this work we investigate the ability of a kinetic approach for traffic dynamics to predict speed distributions obtained through rough data. The present approach adopts the forma…
Continuous Limits for Constrained Ensemble Kalman Filter
Michael Herty, Giuseppe Visconti
The Ensemble Kalman Filter method can be used as an iterative particle numerical scheme for state dynamics estimation and control--to--observable identification problems. In applic…