Prof. Michael Schaub | Learning the effective order of a hypergraph dynamical system

Speaker: Professor Michael Schaub (RWTH Aachen University)
Date: 23rd Jul 2024 - 15:45 to 16:30
Venue: External
Title: Learning the effective order of a hypergraph dynamical system
Event: (HTAW01) Theory and applications of hypergraphs
Abstract: Dynamical systems on hypergraphs can display a rich set of behaviours not observable for systems with pairwise interactions. Given a distributed dynamical system with a putative hypergraph structure, an interesting question is thus how much of this hypergraph structure is actually necessary to faithfully replicate the observed dynamical behaviour. To answer this question, we propose a method to determine the minimum order of a hypergraph necessary to approximate the corresponding dynamics accurately. Specifically, we develop an analytical framework that allows us to determine this order when the type of dynamics is known. We utilize these ideas in conjunction with a hypergraph neural network to directly learn the dynamics itself and the resulting order of the hypergraph from both synthetic and real data sets consisting of observed system trajectories.

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🔗| Seminar Link: https://www.newton.ac.uk/seminar/43849/

🔗| Workshop Link: https://www.newton.ac.uk/event/HTAW01/

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