A Benamou-Brenier formulation for the multi-marginal optimal transport problem with infimal convolution cost
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arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866915673330941952 |
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| author | Krannich, Friedemann |
| author_facet | Krannich, Friedemann |
| contents | We present a dynamical version for the multi-marginal optimal transport problem with infimal convolution cost, using the theory of Wasserstein barycentres. We show, how our formulation relates to the dynamical version of the multi-marginal optimal transport problem developed by Pass and Shenfeld (arXiv:2509.22494v2). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_12555 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A Benamou-Brenier formulation for the multi-marginal optimal transport problem with infimal convolution cost Krannich, Friedemann Optimization and Control We present a dynamical version for the multi-marginal optimal transport problem with infimal convolution cost, using the theory of Wasserstein barycentres. We show, how our formulation relates to the dynamical version of the multi-marginal optimal transport problem developed by Pass and Shenfeld (arXiv:2509.22494v2). |
| title | A Benamou-Brenier formulation for the multi-marginal optimal transport problem with infimal convolution cost |
| topic | Optimization and Control |
| url | https://arxiv.org/abs/2512.12555 |