Trajectory-Aware Node Contributions and the Limits of Static Controllability
A recurring data mining task in complex networks is to determine how individual nodes contribute to system behavior. Existing approaches rely on either static-graph centralities or control-theoretic quantities such as controllability Gramians, which assume linear, time-invariant dynamics. Estimated systems, however, are typically nonlinear and time-varying. We define "emergent contribution (EC)," a finite-horizon measure of a node's dynamical leverage: the metric-weighted energy of its impulse response accumulated along the system trajectory. Computed from the Jacobians of any differentiable model, EC is estimator-agnostic and reduces exactly to average controllability in the linear, time...
| Authors | Valentina Kuskova, Dmitry Zaytsev, Michael Coppedge |
|---|---|
| Primary category | stat.ML |
| Published | 2 June 2026 |
| Last updated at source | 4 June 2026 |
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