Fig. 2: High-order interdependencies in systems of n = 8 spins subject to positive (ferromagnetic), negative (frustrated), and weak interactions.
From: Characterising high-order interdependence via entropic conjugation
a When calculating uk, each type of interactions exhibit distinct profiles of interdependence. b The variability among uk is captured by two principal components: one of symmetric character which accounts for the overall strength of the interdependence (PC1), and one of skew-symmetric character that accounts for the balance between high- and low-order interdependence (PC2). c The values of uk projected onto these PCs provide a simple characterisation of these three types of systems in terms of their overall interdependence strength (PC1) and the balance between high- and low-order effects (PC2).
