Prediction and classification in equation-free collective motion dynamics

Keisuke Fujii, Takeshi Kawasaki, Yuki Inaba, Yoshinobu Kawahara

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

Modeling the complex collective behavior is a challenging issue in several material and life sciences. The collective motion has been usually modeled by simple interaction rules and explained by global statistics. However, it remains difficult to bridge the gap between the dynamic properties of the complex interaction and the emerging group-level functions. Here we introduce decomposition methods to directly extract and classify the latent global dynamics of nonlinear dynamical systems in an equation-free manner, even including complex interaction in few data dimensions. We first verified that the basic decomposition method can extract and discriminate the dynamics of a well-known rule-based fish-schooling (or bird-flocking) model. The method extracted different temporal frequency modes with spatial interaction coherence among three distinct emergent motions, whereas these wave properties in multiple spatiotemporal scales showed similar dispersion relations. Second, we extended the basic method to map high-dimensional feature space for application to actual small-dimensional systems complexly changing the interaction rules. Using group sports human data, we classified the dynamics and predicted the group objective achievement. Our methods have a potential for classifying collective motions in various domains which obey in non-trivial dominance law known as active matters.

Original languageEnglish
Article numbere1006545
JournalPLoS Computational Biology
Volume14
Issue number11
DOIs
Publication statusPublished - Nov 2018
Externally publishedYes

Fingerprint

Collective Motion
taxonomy
prediction
Prediction
Interaction
Decomposition Method
Decomposition
Nonlinear dynamical systems
decomposition
Birds
wave property
Flocking
Laser modes
Sports
methodology
life science
group behavior
Nonlinear Dynamics
Materials Science
degradation

All Science Journal Classification (ASJC) codes

  • Ecology, Evolution, Behavior and Systematics
  • Modelling and Simulation
  • Ecology
  • Molecular Biology
  • Genetics
  • Cellular and Molecular Neuroscience
  • Computational Theory and Mathematics

Cite this

Prediction and classification in equation-free collective motion dynamics. / Fujii, Keisuke; Kawasaki, Takeshi; Inaba, Yuki; Kawahara, Yoshinobu.

In: PLoS Computational Biology, Vol. 14, No. 11, e1006545, 11.2018.

Research output: Contribution to journalArticle

Fujii, Keisuke ; Kawasaki, Takeshi ; Inaba, Yuki ; Kawahara, Yoshinobu. / Prediction and classification in equation-free collective motion dynamics. In: PLoS Computational Biology. 2018 ; Vol. 14, No. 11.
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