Trajectory-Consistent Flow Matching for Robust Visuomotor Policy Learning
Riad Ahmed, Sujosh Nag, Moniruzzaman Akash, Mostafa Hussein, Momotaz Begum
Flow-matching policies optimize a pointwise velocity objective but integrate that field at inference, and the mismatch compounds along the trajectory. The paper closes it with auxiliary rectified-flow velocity regression, multi-step consistency training on the integrated displacement of trajectory segments, velocity-field regularization for temporal smoothness, and Runge-Kutta integration in place of Euler; the ablation shows none of the four suffices alone.