Velocity scaling improves flow models by correcting sampling time lag

The authors show that coarse sampling leaves generated states behind their assigned model time, and that scaling the velocity field largely corrects this mismatch.

Big Tech
Youssef Saied · François Fleuret

University of Geneva · Meta FAIR

Research Digest··2 min read
Saied and Fleuret challenge the explanation that mean-squared-error training systematically makes flow-matching velocities too small.

The authors first analyze the population-level mean-squared-error objective and show that its optimal velocity field transports the source distribution to the data distribution exactly.

Why this paper

From Meta FAIR and University of Geneva

In one line

Velocity scaling improves flow matching by reducing population time lag, not by correcting an MSE velocity deficit.

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