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Published on: March 18, 2019
Geometric Aspects of Observability of Hypergraphs
Joshua Pickard1, Cooper Stansbury1, Amit Surana2
1Department of Computational Medicine & Bioinformatics, Medical School, University of Michigan, Ann Arbor, MI 48109 USA.
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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