image: Example of collective motion, known as “flocking”, in nature. A murmuration of Baikal teal that resembles a dolphin, observed in South Korea
Credit: © Dongjo Kim, Seoul National University College of Engineering
Researchers at Seoul National University and Kyung Hee University report a framework to control collective motions, such as ring, clumps, mill, flock, by training a physics-informed AI to learn the local rules that govern interactions among individuals. The approach specifies when an ordered state should appear from random initial conditions and tunes geometric features (average radius, cluster size, flock size). Furthermore, trained on published GPS trajectories of real pigeons (Nagy et al., 2010), the model uncovers interaction mechanisms observed in real flocks.
What is collective motion?
Collective motion is an emergent phenomenon in which many self-proplled individuals (birds, fish, insects, robots, even human crowds) produce large-scale patterns without any central decision-making. Each individual reacts only to nearby neighbors, yet the group exhibits coherent collective motion. Analyzing how simple local interactions give rise to such global order is challenging because these systems are noisy and nonlinear, and perception is often directional.
Learning local rules with physics-informed AI
To address these challenges, the team built neural networks that obey the laws of dynamics and are trained on simple pattern characteristics and, when available, experimental trajectories. The neural networks infer two basic types of local interaction rules: distance-based rules that set spacing, velocity-based rules that align headings, as well as their combination. The team also showed that self-propelled agents following these rules reproduce intended target collective patterns with specified geometrical characteristics. Examples include adjusting ring radius, cluster size in clumps, and rotational mode (either single or double) in mill; inducing continuous transitions among different collective modes; and achieving motions near obstacles and within confined areas. The same framework can be fit to short segments of real trajectories by incorporating an anisotropic field of view, yielding interaction laws consistent with the leader-follower hierarchy observed in nature.
Opening new possibilities in collective behavior and robotics
By turning collective behavior into something that can be decoded, this approach offers practical engineering and scientific benefits. In robotics, it provides a blueprint for programming drone and ground-robot swarms to form and switch patterns on demand. In the natural sciences, it helps quantitatively identify which local interactions are sufficient to explain observed flocking, enabling hypothesis testing about sensory ranges and alignment strength. More broadly, the method could guide the design of active materials that self-assemble into target shapes and help generate realistic synthetic datasets for studying complex, decentralized systems.
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Journal
Cell Reports Physical Science
Method of Research
Computational simulation/modeling
Subject of Research
Not applicable
Article Title
Commanding emergent behavior with neural networks
Article Publication Date
24-Sep-2025
COI Statement
H.-Y.K. and D.K. are the inventors on the patent applications (#10-2024-0054253, Republic of Korea) submitted by SNU R&DB Foundation that covers neural network training method for collective motions and its applications.