The Root Cause of Slow Flow Matching is Geometry
nandofioretto · x · 2026-07-15
The author argues that the root cause of slow flow matching sampling isn't the model itself, but the geometry of the probability paths.
- If trajectories are curved, numerical integration requires smaller step sizes, slowing down inference.
- OT coupling and rectification essentially work by “straightening” these paths, allowing inference to complete in fewer steps.
He summarizes this perfectly: cheaper inference comes from straighter paths.
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