Work

Numerical computation of generalized Wasserstein distances with applications to traffic model analysis

Year: 2025

Type: article

Abstract: Generalized Wasserstein distances allow us to quantitatively compare two continuous or atomic mass distributions with equal or different total masses. In this paper, we propose four numerical methods for the approximation of three different generalized Wasserstein distances introduced in the past few years, giving some insights into their physical meaning. After that, we explore their usage in the context of a sensitivity analysis of differential models for traffic flow. The quantification of the models' sensitivity is obtained by computing the generalized Wasserstein distances between two (numerical) solutions corresponding to different inputs, including different boundary conditions.

Source: Networks and Heterogeneous Media

Authors: Maya Briani, Istituto per le Applicazioni del Calcolo, Consiglio Nazionale delle Ricerche, Rome, Italy, Emiliano Cristiani, Giovanni Franzina, Francesca L. Ignoto

Institutions: Istituto per le Applicazioni del Calcolo Mauro Picone, National Research Council, Sapienza University of Rome

Language: English

Topic: Geometric Analysis and Curvature Flows

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funders: European Commission, Thünen-Institut

OpenAlex ID: W4415538716

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Cites: 24

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