dc.contributor.author
Niemann, Jan-Hendrik
dc.contributor.author
Klus, Stefan
dc.contributor.author
Schütte, Christof
dc.date.accessioned
2021-10-06T08:11:49Z
dc.date.available
2021-10-06T08:11:49Z
dc.identifier.uri
https://refubium.fu-berlin.de/handle/fub188/31977
dc.identifier.uri
http://dx.doi.org/10.17169/refubium-31708
dc.description.abstract
The dynamical behavior of social systems can be described by agent-based models. Although single agents follow easily explainable rules, complex time-evolving patterns emerge due to their interaction. The simulation and analysis of such agent-based models, however, is often prohibitively time-consuming if the number of agents is large. In this paper, we show how Koopman operator theory can be used to derive reduced models of agent-based systems using only simulation data. Our goal is to learn coarse-grained models and to represent the reduced dynamics by ordinary or stochastic differential equations. The new variables are, for instance, aggregated state variables of the agent-based model, modeling the collective behavior of larger groups or the entire population. Using benchmark problems with known coarse-grained models, we demonstrate that the obtained reduced systems are in good agreement with the analytical results, provided that the numbers of agents is sufficiently large.
en
dc.format.extent
23 Seiten
dc.rights.uri
https://creativecommons.org/licenses/by/4.0/
dc.subject
Agent-based modeling
en
dc.subject
Monte Carlo method
en
dc.subject
Koopman generator
en
dc.subject
Differential equations
en
dc.subject
Dynamical systems
en
dc.subject.ddc
500 Naturwissenschaften und Mathematik::510 Mathematik::510 Mathematik
dc.title
Data-driven model reduction of agent-based systems using the Koopman generator
dc.type
Wissenschaftlicher Artikel
dcterms.bibliographicCitation.articlenumber
PONE-D-20-39527
dcterms.bibliographicCitation.doi
10.1371/journal.pone.0250970
dcterms.bibliographicCitation.journaltitle
PLoS ONE
dcterms.bibliographicCitation.url
https://doi.org/10.1371/journal.pone.0250970
refubium.affiliation
Mathematik und Informatik
refubium.note.author
We acknowledge support by the Open Access Publication Fund of the Freie Universität Berlin.
refubium.resourceType.isindependentpub
no
dcterms.accessRights.openaire
open access
dcterms.isPartOf.eissn
1932-6203