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  • Letter

Reconstructing networks from simple and complex contagions

Nicholas W. Landry1,2,3,*, William Thompson1,†, Laurent Hébert-Dufresne1,4,‡, and Jean-Gabriel Young1,2,§

  • *Contact author: nicholas.landry@virginia.edu
  • †Contact author: william.thompson.2@uvm.edu
  • ‡Contact author: laurent.hebert-dufresne@uvm.edu
  • §Contact author: jean-gabriel.young@uvm.edu

Phys. Rev. E 110, L042301 – Published 7 October, 2024

DOI: https://doi.org/10.1103/PhysRevE.110.L042301

Abstract

Network scientists often use complex dynamic processes to describe network contagions, but tools for fitting contagion models typically assume simple dynamics. Here, we address this gap by developing a nonparametric method to reconstruct a network and dynamics from a series of node states, using a model that breaks the dichotomy between simple pairwise and complex neighborhood-based contagions. We then show that a network is more easily reconstructed when observed through the lens of complex contagions if it is dense or the dynamic saturates, and that simple contagions are better otherwise.

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