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Paper · arXiv

Geodesics of Dynamic Graphs for Regime Change Detection

Traditional change point detection in dynamic networks assumes abrupt transitions between stationary states, overlooking scenarios of continuous evolution which arise in most real-world applications, such as social networks or physical systems. We address this gap by formally defining regimes as periods of coherent dynamics in temporal graphs, which we characterize as trajectories along geodesics in a suitably defined graph space. This original perspective allows us to define regime changes as significant drifts in dynamics, either toward new trajectories or with pace changes. We leverage graph regression methods to measure the cumulative distance of sequences of observed graphs from the ...

AuthorsWilliam Cappelletti, Étienne Voutaz, Pascal Frossard
Primary categorycs.LG
Published5 June 2026
Last updated at source5 June 2026
cs.LG
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