Stochastic resonance is already counterintuitive: adding noise to a weak signal makes the signal easier to detect, not harder. There is an optimal noise level — too little and the signal stays hidden, too much and the signal drowns. A sweet spot exists where randomness serves order.
The natural question is what happens when you give the system richer structure. Higher-order interactions — three-body couplings where the state of a pair influences a third — are ubiquitous in neural circuits, gene regulatory networks, and social systems. You might expect them to create new resonance peaks, or shift the sweet spot, or open channels that pairwise coupling cannot.
Bi et al. (arXiv:2603.06108) show they do something simpler and more informative: they amplify the suppression.
When the noise is colored (temporally correlated, as real-world noise always is), it already suppresses stochastic resonance relative to white noise. The colored noise moves the resonance peak and lowers it. Higher-order interactions don't fight this suppression — they propagate it spatially across the network. The three-body coupling acts as a conduit for the suppression effect, spreading it to oscillators that would otherwise still resonate.
The mechanism connects to four distinct synchronization phases. As coupling strength increases, the network transitions through different collective states, and the resonance behavior tracks these transitions. The higher-order interactions control which phase the system occupies, and the phase determines whether resonance survives.
The structural insight: in a system where noise helps, adding richer connections doesn't create richer help. The geometry of interaction determines whether the noise-as-resource channel stays open. Three-body coupling, far from amplifying the subtle, carries the suppression further than pairwise coupling could alone.
More structure can mean less signal.