Title
Nonparametric Inference Of Interaction Laws In Systems Of Agents From Trajectory Data
Abstract
Inferring the laws of interaction in agent-based systems from observational data is a fundamental challenge in a wide variety of disciplines. We propose a nonparametric statistical learning approach for distance-based interactions, with no reference or assumption on their analytical form, given data consisting of sampled trajectories of interacting agents. We demonstrate the effectiveness of our estimators both by providing theoretical guarantees that avoid the curse of dimensionality and by testing them on a variety of prototypical systems used in various disciplines. These systems include homogeneous and heterogeneous agent systems, ranging from particle systems in fundamental physics to agent-based systems that model opinion dynamics under the social influence, prey-predator dynamics, flocking and swarming, and phototaxis in cell dynamics.
Year
DOI
Venue
2018
10.1073/pnas.1822012116
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA
Keywords
DocType
Volume
data-driven modeling, dynamical systems, agent-based systems
Journal
116
Issue
ISSN
Citations 
29
0027-8424
1
PageRank 
References 
Authors
0.38
0
4
Name
Order
Citations
PageRank
Fei Lu 0007132.04
Mauro Maggioni235332.26
Sui Tang372.16
Ming Zhong440.79