Numerical computation of generalized Wasserstein distances with applications to traffic model analysis
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866918163411632128 |
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| author | Briani, Maya Cristiani, Emiliano Franzina, Giovanni Ignoto, Francesca L. |
| author_facet | Briani, Maya Cristiani, Emiliano Franzina, Giovanni Ignoto, Francesca L. |
| contents | Generalized Wasserstein distances allow to quantitatively compare two continuous or atomic mass distributions with equal or different total mass. In this paper, we propose four numerical methods for the approximation of three different generalized Wasserstein distances introduced in the last years, giving some insights about their physical meaning. After that, we explore their usage in the context of the sensitivity analysis of differential models for traffic flow. The quantification of models sensitivity is obtained by computing the generalized Wasserstein distances between two (numerical) solutions corresponding to different inputs, including different boundary conditions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_11441 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Numerical computation of generalized Wasserstein distances with applications to traffic model analysis Briani, Maya Cristiani, Emiliano Franzina, Giovanni Ignoto, Francesca L. Analysis of PDEs Numerical Analysis Optimization and Control Generalized Wasserstein distances allow to quantitatively compare two continuous or atomic mass distributions with equal or different total mass. In this paper, we propose four numerical methods for the approximation of three different generalized Wasserstein distances introduced in the last years, giving some insights about their physical meaning. After that, we explore their usage in the context of the sensitivity analysis of differential models for traffic flow. The quantification of models sensitivity is obtained by computing the generalized Wasserstein distances between two (numerical) solutions corresponding to different inputs, including different boundary conditions. |
| title | Numerical computation of generalized Wasserstein distances with applications to traffic model analysis |
| topic | Analysis of PDEs Numerical Analysis Optimization and Control |
| url | https://arxiv.org/abs/2410.11441 |