Optimal transport analysis reveals trajectories in steady-state systems
Fig 6
Inferred dynamics in the space of paths for potential-driven system.
(a) Collections of 100 sample paths from the ground truth process Eq (1) as well as StationaryOT outputs for both entropic and quadratic OT with optimal and sub-optimal ε. The vertical axis corresponds to a projection 〈x, u〉 of the 10-dimensional state space onto a convenient 1-dimensional subspace defined by u = (cos(π/12), sin(π/12), 0, …, 0). (b) W2 error on paths for StationaryOT reconstructions, shown for 5 repeated samplings of 250 paths.