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arXiv · 2404.07480

Geometric Aspects of Observability of Hypergraphs

Joshua Pickard·Cooper Stansbury·Amit Surana·Indika Rajapakse·Anthony Bloch
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Abstract

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.

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Joshua Pickard, Cooper Stansbury, Amit Surana, Indika Rajapakse, Anthony Bloch. 2024-04-11. Geometric Aspects of Observability of Hypergraphs. https://arxiv.org/abs/2404.07480

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