Geometric Aspects of Observability of Hypergraphs
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910406085181440 |
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| author | Pickard, Joshua Stansbury, Cooper Surana, Amit Rajapakse, Indika Bloch, Anthony |
| author_facet | Pickard, Joshua Stansbury, Cooper Surana, Amit Rajapakse, Indika Bloch, Anthony |
| contents | In this paper we consider aspects of geometric observability for hypergraphs, extending our earlier work from the uniform to the nonuniform case. Hypergraphs, a generalization of graphs, allow hyperedges to connect multiple nodes and unambiguously represent multi-way relationships which are ubiquitous in many real-world networks including those that arise in biology. We consider polynomial dynamical systems with linear outputs defined according to hypergraph structure, and we propose methods to evaluate local, weak observability. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_07480 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Geometric Aspects of Observability of Hypergraphs Pickard, Joshua Stansbury, Cooper Surana, Amit Rajapakse, Indika Bloch, Anthony Dynamical Systems In this paper we consider aspects of geometric observability for hypergraphs, extending our earlier work from the uniform to the nonuniform case. Hypergraphs, a generalization of graphs, allow hyperedges to connect multiple nodes and unambiguously represent multi-way relationships which are ubiquitous in many real-world networks including those that arise in biology. We consider polynomial dynamical systems with linear outputs defined according to hypergraph structure, and we propose methods to evaluate local, weak observability. |
| title | Geometric Aspects of Observability of Hypergraphs |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2404.07480 |