Trajectory

Estimate a velocity field from paired observations, then discover why predicting one step and rolling out a trajectory are different tests.

Infer a mass-preserving coupling between snapshots, distinguish it from tracked identity, and implement Sinkhorn transport.

Connect neural vector fields, ODEs, SDEs, and flow matching without confusing generated paths with observed temporal mechanisms.

Predict outcomes without future leakage, handle censored follow-up, and distinguish forecasting from the effect of an intervention.