Generalized differentiation in Wasserstein space and application to multiagent control problem
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866917092679221248 |
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| author | Capuani, Rossana Marigonda, Antonio Quincampoix, Marc |
| author_facet | Capuani, Rossana Marigonda, Antonio Quincampoix, Marc |
| contents | Several concepts of generalized differentiation in Wasserstein space have been proposed in order to deal with the intrinsic nonsmoothness arising in the context of optimization problems in Wasserstein spaces. In this paper we introduce a concept of admissible variation encompassing some of the most popular definitions as special cases, and using it to derive a comparison principle for viscosity solutions of an Hamilton Jacobi Bellman equation following from an optimal control of a multiagent systems. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2511_15455 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Generalized differentiation in Wasserstein space and application to multiagent control problem Capuani, Rossana Marigonda, Antonio Quincampoix, Marc Optimization and Control Analysis of PDEs Several concepts of generalized differentiation in Wasserstein space have been proposed in order to deal with the intrinsic nonsmoothness arising in the context of optimization problems in Wasserstein spaces. In this paper we introduce a concept of admissible variation encompassing some of the most popular definitions as special cases, and using it to derive a comparison principle for viscosity solutions of an Hamilton Jacobi Bellman equation following from an optimal control of a multiagent systems. |
| title | Generalized differentiation in Wasserstein space and application to multiagent control problem |
| topic | Optimization and Control Analysis of PDEs |
| url | https://arxiv.org/abs/2511.15455 |