Approximation of symmetric total variation on point clouds
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866911553317502976 |
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| author | Almi, Stefano Kubin, Anna Tasso, Emanuele |
| author_facet | Almi, Stefano Kubin, Anna Tasso, Emanuele |
| contents | The paper investigates the approximation of the symmetric Total Variation functional on graphs. Such an approximation is given in terms of a discrete and symmetric finite difference model defined on point clouds obtained by randomly sampling a reference probability measure. We identify suitable scalings of the point distribution that guarantee an almost surely $Γ$-convergence to an anisotropic weighted symmetric Total Variation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_28172 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Approximation of symmetric total variation on point clouds Almi, Stefano Kubin, Anna Tasso, Emanuele Analysis of PDEs Probability The paper investigates the approximation of the symmetric Total Variation functional on graphs. Such an approximation is given in terms of a discrete and symmetric finite difference model defined on point clouds obtained by randomly sampling a reference probability measure. We identify suitable scalings of the point distribution that guarantee an almost surely $Γ$-convergence to an anisotropic weighted symmetric Total Variation. |
| title | Approximation of symmetric total variation on point clouds |
| topic | Analysis of PDEs Probability |
| url | https://arxiv.org/abs/2603.28172 |