Inference of time-ordered multibody interactions.
basic_science · Level V
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- Record sourced from PubMed, PMID 37849178.
- Also identified by DOI 10.1103/PhysRevE.108.034312.
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Abstract
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 those interactions from data capturing the system-level dynamics of node states 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 inferring parsimonious interaction ensembles.