Modelling topological features of swarm behaviour in space and time with persistence landscapes

Corcoran, Padraig ORCID: https://orcid.org/0000-0001-9731-3385 and Jones, Christopher B. ORCID: https://orcid.org/0000-0001-6847-7575 2017. Modelling topological features of swarm behaviour in space and time with persistence landscapes. IEEE Access 5 , pp. 18534-18544. 10.1109/ACCESS.2017.2749319

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Abstract

This paper presents a model of swarm behaviour that encodes the spatial-temporal characteristics of topological features such as holes and connected components. Specifically, the persistence of topological features with respect to time are computed using zig-zag persistent homology. This information is in turn modelled as a persistence landscape which forms a normed vector space and facilitates the application of statistical and data mining techniques. Validation of the proposed model is performed using a real data set corresponding to a swarm of fish. It is demonstrated that the proposed model may be used to perform retrieval and clustering of swarm behaviour in terms of topological features. In fact, it is discovered that clustering returns clusters corresponding to the swarm behaviours of flock, torus and disordered. These are the most frequently occurring types of behaviour exhibited by swarms in general.

Item Type:	Article
Date Type:	Published Online
Status:	Published
Schools:	Computer Science & Informatics
Publisher:	Institute of Electrical and Electronics Engineers (IEEE)
ISSN:	2169-3536
Date of First Compliant Deposit:	13 September 2017
Date of Acceptance:	21 August 2017
Last Modified:	20 Jul 2024 13:35
URI:	https://orca.cardiff.ac.uk/id/eprint/104552

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