A uniform rate of convergence for the entropic potentials in the quadratic Euclidean setting
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866917283400515584 |
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| author | López-Rivera, Pablo |
| author_facet | López-Rivera, Pablo |
| contents | We bound the rate of uniform convergence in compact sets for both entropic potentials and their gradients towards the Brenier potential and its gradient, respectively. Both results hold in the quadratic Euclidean setting for absolutely continuous measures satisfying some convexity assumptions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_00084 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A uniform rate of convergence for the entropic potentials in the quadratic Euclidean setting López-Rivera, Pablo Classical Analysis and ODEs Analysis of PDEs Optimization and Control Probability We bound the rate of uniform convergence in compact sets for both entropic potentials and their gradients towards the Brenier potential and its gradient, respectively. Both results hold in the quadratic Euclidean setting for absolutely continuous measures satisfying some convexity assumptions. |
| title | A uniform rate of convergence for the entropic potentials in the quadratic Euclidean setting |
| topic | Classical Analysis and ODEs Analysis of PDEs Optimization and Control Probability |
| url | https://arxiv.org/abs/2502.00084 |