Identifying manifolds underlying group motion in Vicsek agents

08/12/2015
by   Kelum Gajamannage, et al.
0

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.

READ FULL TEXT

page 1

page 2

page 3

page 4

research
08/13/2015

Dimensionality Reduction of Collective Motion by Principal Manifolds

While the existence of low-dimensional embedding manifolds has been show...
research
07/22/2023

Kinetic description of swarming dynamics with topological interaction and emergent leaders

In this paper, we present a model describing the collective motion of bi...
research
04/13/2022

Wassmap: Wasserstein Isometric Mapping for Image Manifold Learning

In this paper, we propose Wasserstein Isometric Mapping (Wassmap), a par...
research
10/01/2021

Topologically-Informed Atlas Learning

We present a new technique that enables manifold learning to accurately ...
research
10/12/2021

Observing a group to infer individual characteristics

In the study of collective motion, it is common practice to collect move...
research
06/28/2020

Automated Stitching of Coral Reef Images and Extraction of Features for Damselfish Shoaling Behavior Analysis

Behavior analysis of animals involves the observation of intraspecific a...
research
09/23/2015

Detecting phase transitions in collective behavior using manifold's curvature

If a given behavior of a multi-agent system restricts the phase variable...

Please sign up or login with your details

Forgot password? Click here to reset