Maybe it’s time we stop calling graphs “pairwise”. Multivariate coupling functions include HO interactions by design, hyperedges are optional. Under the order-decomposability assumption, the same node-level dynamics can be written as infinitely many equivalent multilayer (“gauge”) models. 1/

RE: https://bsky.app/profile/did:plc:raqakgdn3vs3f3flxkvo6kv3/post/3mfbnikukzs2k