Identifying manifolds underlying group motion in Vicsek agents
Collective motion of animal groups often undergoes changes due to perturbations. In a topological sense, we describe these changes as switching between low-dimensional embedding manifolds underlying a group of evolving agents. To characterize such manifolds, first we introduce a simple mapping of agents between time-steps. Then, we construct a novel metric which is susceptible to variations in the collective motion, thus revealing distinct underlying manifolds. The method is validated through three sample scenarios simulated using a Vicsek model, namely, switching of speed, coordination, and structure of a group. Combined with a dimensionality reduction technique that is used to infer the dimensionality of the embedding manifold, this approach provides an effective model-free framework for the analysis of collective behavior across animal species.
Unable to display preview. Download preview PDF.
- 3.S. Butail, P. Salerno, E.M. Bollt, M. Porfiri, Behav. Res. Meth., 1 (2014)Google Scholar
- 7.P. DeLellis, G. Polverino, G. Ustuner, N. Abaid, S. Macrì, E.M. Bollt, M. Porfiri, Sci. Rep. 4 (2014)Google Scholar
- 14.D. Helbing, I.J. Farkas, P. Molnar, T. Vicsek, Pedestrian Evacuation Dyn. 21, 21 (2002)Google Scholar
- 27.Z. Wu, N.I. Hristov, T.L. Hedrick, T.H. Kunz, M. Betke, Proc. IEEE Int. Conf. Comput. Vis., 1546 (2009)Google Scholar
- 28.Z. Wu, N.I. Hristov, T.H. Kunz, M. Betke, Proc. Workshop Motion Video Comput., 1 (2009)Google Scholar