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Contribution Details

Type Journal Article
Scope Discipline-based scholarship
Title Inference of time-ordered multibody interactions
Organization Unit
Authors
  • Unai Alvarez-Rodriguez
  • Luka V Petrovi\'c
  • Ingo Scholtes
Item Subtype Original Work
Refereed No
Status Published electronically before print/final form (Epub ahead of print)
Language
  • German
Journal Title arXiv preprint arXiv:2111.14611
Geographical Reach international
Page Range 1 - 10
Date 2021
Abstract Text We introduce time-ordered multibody interactions to describe complex systems manifesting temporal as well as multibody dependencies. First, we show how the dynamics of multivariate Markov chains can be decomposed in ensembles of time-ordered multibody interactions. Then, we present an algorithm to extract combined interactions from data and a measure to characterize the complexity of interaction ensembles. Finally, we experimentally validate the robustness of our algorithm against statistical errors and its efficiency at obtaining simple interaction ensembles.
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