On the correspondence between replicator dynamics and assignment flows

• Verfasst von: Boll, Bastian [VerfasserIn]
• Verfasst von: Schwarz, Jonathan [VerfasserIn]
• Verfasst von: Schnörr, Christoph [VerfasserIn]
• Titel: On the correspondence between replicator dynamics and assignment flows
• Verf.angabe: Bastian Boll, Jonathan Schwarz, and Christoph Schnörr
• Jahr: 2021
• Umfang: 2 S.
• Fussnoten: Gesehen am 27.03.2023
• Titel Quelle: Enthalten in: Proceedings in applied mathematics and mechanics
• Ort Quelle: Weinheim : Wiley-VCH, 2002
• Jahr Quelle: 2021
• Band/Heft Quelle: 21(2021), 1, Artikel-ID e202100097, Seite 1-2
• ISSN Quelle: 1617-7061
• DOI: doi:10.1002/pamm.202100097
• Datenträger: Online-Ressource
• Sprache: eng
• K10plus-PPN: 1840124083
• K10plus-PPN:
  Universitätsbibliothek
• Lokale URL UB: Zum Volltext

Abstract

Assignment flows are smooth dynamical systems for data labeling on graphs. Although they exhibit structural similarities with the well-studied class of replicator dynamics, it is nontrivial to apply existing tools to their analysis. We propose an embedding of the underlying assignment manifold into the interior of a single probability simplex. Under this embedding, a large class of assignment flows are pushed to much higher-dimensional replicator dynamics. We demonstrate the applicability of this result by transferring a spectral decomposition of replicator dynamics to assignment flows.