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Enrico @enricocaprioglio.bsky.social · 18/09/2025

🚨 How do collective behaviours (high-order interdependencies) *emerge*❓ Can systems with low-order interactions do it? What do these minimal synergistic systems look like? In arxiv.org/abs/2505.246... we show when and how synergies emerge when no high-order mechanisms are involved. Short 🧵: 1/N

arxiv.org

Synergistic Motifs in Gaussian Systems

High-order interdependencies are central features of complex systems, yet a mechanistic explanation for their emergence remains elusive. Currently, it is unknown under what conditions high-order inter...

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Enrico @enricocaprioglio.bsky.social · 18/09/2025

First, we used the O-information and (social) structural balanced theory to show that the O-information can be expanded in terms of closed walks in the correlation matrix Σ. The terms that contribute synergistically are exactly the kind of walks that you would find in antibalanced graphs!

LEFT: if the graph G is antibalanced, every closed walk in G contributes negatively in the expansion of the O-information.

RIGHT: examples of synergistic (correlation) motifs that ensure synergy-dominance

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