p-Laplacians for Manifold-valued Hypergraphs
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
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| _version_ | 1866915891981058048 |
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| author | Stokke, Jo Andersson Bergmann, Ronny Hanik, Martin von Tycowicz, Christoph |
| author_facet | Stokke, Jo Andersson Bergmann, Ronny Hanik, Martin von Tycowicz, Christoph |
| contents | Hypergraphs extend traditional graphs by enabling the representation of N-ary relationships through higher-order edges. Akin to a common approach of deriving graph Laplacians, we define function spaces and corresponding symmetric products on the nodes and edges to derive hypergraph Laplacians. While this has been done before for Euclidean features, this work generalizes previous hypergraph Laplacian approaches to accommodate manifold-valued hypergraphs for many commonly encountered manifolds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_10335 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | p-Laplacians for Manifold-valued Hypergraphs Stokke, Jo Andersson Bergmann, Ronny Hanik, Martin von Tycowicz, Christoph Differential Geometry Combinatorics 05C65, 53-08 Hypergraphs extend traditional graphs by enabling the representation of N-ary relationships through higher-order edges. Akin to a common approach of deriving graph Laplacians, we define function spaces and corresponding symmetric products on the nodes and edges to derive hypergraph Laplacians. While this has been done before for Euclidean features, this work generalizes previous hypergraph Laplacian approaches to accommodate manifold-valued hypergraphs for many commonly encountered manifolds. |
| title | p-Laplacians for Manifold-valued Hypergraphs |
| topic | Differential Geometry Combinatorics 05C65, 53-08 |
| url | https://arxiv.org/abs/2507.10335 |