Trajectory on 3rd layerhttps://3rdlayer.uk/tags/trajectory/Recent content in Trajectory on 3rd layerHugo -- 0.157.0en-USSun, 27 Sep 2026 09:00:00 +0900Trajectory ML 09: Learn where a state moves nexthttps://3rdlayer.uk/posts/trajectory-ml-09-velocity/Sun, 27 Sep 2026 09:00:00 +0900https://3rdlayer.uk/posts/trajectory-ml-09-velocity/Estimate a velocity field from paired observations, then discover why predicting one step and rolling out a trajectory are different tests.Trajectory ML 10: Move a population with optimal transporthttps://3rdlayer.uk/posts/trajectory-ml-10-transport/Sun, 27 Sep 2026 09:00:00 +0900https://3rdlayer.uk/posts/trajectory-ml-10-transport/Infer a mass-preserving coupling between snapshots, distinguish it from tracked identity, and implement Sinkhorn transport.Trajectory ML 11: Continuous dynamics and flow matchinghttps://3rdlayer.uk/posts/trajectory-ml-11-continuous/Sun, 27 Sep 2026 09:00:00 +0900https://3rdlayer.uk/posts/trajectory-ml-11-continuous/Connect neural vector fields, ODEs, SDEs, and flow matching without confusing generated paths with observed temporal mechanisms.Trajectory ML 12: Outcomes, survival, and causal questionshttps://3rdlayer.uk/posts/trajectory-ml-12-fate-causality/Sun, 27 Sep 2026 09:00:00 +0900https://3rdlayer.uk/posts/trajectory-ml-12-fate-causality/Predict outcomes without future leakage, handle censored follow-up, and distinguish forecasting from the effect of an intervention.