57 citations · 75 across the 12 of their papers we have counts for
14 papers
Ensemble-Based Estimation of Alzheimer's Disease Incidence from Dynamic Population Reconstructions
Giulia Bertaglia, Elisa Iacomini, Alex Viguerie
We present a two-stage methodology for reconstructing Alzheimer's disease (AD) incidence over time using ensemble Kalman inversion (EKI) applied to mortality data. In the first sta…
Aging and mortality of persons with HIV: a novel Kalman Filtering and DMD framework
Alex Viguerie, Elisa Iacomini
Due to the widespread availability of effective antiretroviral therapy (ART) regimens, average lifespans of persons with HIV (PWH) in the United States have increased significantly…
Overview on uncertainty quantification in traffic models via intrusive method
Elisa Iacomini
We consider traffic flow models at different scales of observation. Starting from the well known hierarchy between microscopic, kinetic and macroscopic scales, we will investigate…
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…
Filtering methods for coupled inverse problems
Michael Herty, Elisa Iacomini
We are interested in ensemble methods to solve multi-objective optimization problems. An ensemble Kalman method is proposed to solve a formulation of the nonlinear problem using a…
Identification of Time Delays in COVID-19 Data
Nicola Guglielmi, Elisa Iacomini, Alex Viguerie
COVID-19 data released by public health authorities features the presence of notable time-delays, corresponding to the difference between actual time of infection and identificatio…
Contrarian effect in opinion forming: insights from Greta Thunberg phenomenon
Elisa Iacomini, Pierluigi Vellucci
In recent months the figure of Greta Thunberg and the theme of climate changings quickly became the focus of the debate. This has lead to a polarization effect in opinion forming a…
Uncertainty Quantification in Hierarchical Vehicular Flow Models
Michael Herty, Elisa Iacomini
We consider kinetic vehicular traffic flow models of BGK type. Considering different spatial and temporal scales, those models allow to derive a hierarchy of traffic models includi…
Delay differential equations for the spatially-resolved simulation of epidemics with specific application to COVID-19
Nicola Guglielmi, Elisa Iacomini, Alex Viguerie
In the wake of the 2020 COVID-19 epidemic, much work has been performed on the development of mathematical models for the simulation of the epidemic, and of disease models generall…
Stability analysis of a hyperbolic stochastic Galerkin formulation for the Aw-Rascle-Zhang model with relaxation
Stephan Gerster, Michael Herty, Elisa Iacomini
We investigate the propagation of uncertainties in the Aw-Rascle-Zhang model, which belongs to a class of second order traffic flow models described by a system of nonlinear hyperb…
Properties of the LWR model with time delay
Simone Göttlich, Elisa Iacomini, Thomas Jung
In this article, we investigate theoretical and numerical properties of the first-order Lighthill-Whitham-Richards (LWR) traffic flow model with time delay. Since standard results…
An interface-free multi-scale multi-order model for traffic flow
Emiliano Cristiani, Elisa Iacomini
In this paper we present a new kind of model for traffic flow which couples a first-order macroscopic approach with a second-order microscopic approach, avoiding any interface or b…
A Hopf-Lax formula for Hamilton-Jacobi equations with Caputo time derivative
Fabio Camilli, Raul De Maio, Elisa Iacomini
We prove a representation formula of Hopf-Lax type for the solution of a Hamilton-Jacobi equation involving Caputo time-fractional derivative. Equations of these type are associate…
Sensitivity analysis of the LWR model for traffic forecast on large networks using Wasserstein distance
Maya Briani, Emiliano Cristiani, Elisa Iacomini
In this paper we investigate the sensitivity of the LWR model on network to its parameters and to the network itself. The quantification of sensitivity is obtained by measuring the…