Partial-observation early warnings without degree-associated intrinsic dynamics

Determine how synchronization transitions in networked oscillators can be anticipated from partial observations when the oscillators’ intrinsic dynamics are not assumed to be associated with node degree.

Background

The paper studies early warning signals for synchronization transitions using a stochastic Kuramoto model on networks and focuses on settings in which only a small set of sentinel nodes is observed. Prior work considered a construction in which each node’s natural frequency was primarily determined by its degree, thereby associating intrinsic oscillator dynamics with network structure.

The unresolved problem is to establish how well synchronization transitions can be anticipated under partial observation in more general networks where natural frequencies or other intrinsic dynamical properties are not particularly tied to node degree.

References

It therefore remains unknown how synchronization transitions can be anticipated from partial observations when intrinsic node dynamics are not particularly assumed to be associated with node degree.

— Early warning signals for synchronization transitions from partial observations  (2608.28320 - Kato et al., 28 Aug 2026) in Introduction

It is also generally unknown how one can select informative sentinel nodes for computing EWSs for synchronization transitions.

— Early warning signals for synchronization transitions from partial observations  (2608.28320 - Kato et al., 28 Aug 2026) in Introduction

A relevant open question is whether the EWSs and sentinel-selection methods developed in this study can anticipate such diverse transitions based on observations from only a few nodes.

— Early warning signals for synchronization transitions from partial observations  (2608.28320 - Kato et al., 28 Aug 2026) in Discussion