Dynamical maximum entropy approach to flocking
Statistical Mechanics
2015-04-28 v1 Biological Physics
Quantitative Methods
Abstract
We derive a new method to infer from data the out-of-equilibrium alignment dynamics of collectively moving animal groups, by considering the maximum entropy distribution consistent with temporal and spatial correlations of flight direction. When bird neighborhoods evolve rapidly, this dynamical inference correctly learns the parameters of the model, while a static one relying only on the spatial correlations fails. When neighbors change slowly and detailed balance is satisfied, we recover the static procedure. We demonstrate the validity of the method on simulated data. The approach is applicable to other systems of active matter.
Cite
@article{arxiv.1310.3810,
title = {Dynamical maximum entropy approach to flocking},
author = {Andrea Cavagna and Irene Giardina and Francesco Ginelli and Thierry Mora and Duccio Piovani and Raffaele Tavarone and Aleksandra M. Walczak},
journal= {arXiv preprint arXiv:1310.3810},
year = {2015}
}