Echoes of the hidden: Uncovering coordination beyond network structure

The study of connectivity and coordination has drawn increasing attention in recent decades due to their central role in driving markets, shaping societal dynamics, and influencing biological systems. Traditionally, observable connections, such as phone calls, financial transactions, or social media connections, have been used to infer coordination and connectivity. However, incomplete, encrypted, or fragmented data, alongside the ubiquity of communication platforms and deliberate obfuscation, often leave many real-world connections hidden. In this study, we demonstrate that coordinating individuals exhibit shared bursty activity patterns, enabling their detection even when observable links between them are sparse or entirely absent. We further propose a generative model based on the network of networks formalism to account for the mechanisms driving this collaborative burstiness, attributing it to shock propagation across networks rather than isolated individual behavior. Model simulations demonstrate that when observable connection density is below 70\%, burstiness significantly improves coordination detection compared to state-of-the-art temporal and structural methods. This work provides a new perspective on community and coordination dynamics, advancing both theoretical understanding and practical detection. By laying the foundation for identifying hidden connections beyond observable network structures, it enables detection across different platforms, alongside enhancing system behavior understanding, informed decision-making, and risk mitigation.