AI RESEARCH
The Velocity Deficit: Initial Energy Injection for Flow Matching
arXiv CS.CV
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ArXi:2605.14819v1 Announce Type: new While Flow Matching theoretically guarantees constant-velocity trajectories, we identify a critical breakdown in high-dimensional practice: the Velocity Deficit. We show that the MSE objective systematically underestimates velocity magnitude, causing generated samples to fail to reach the data manifold-a phenomenon we term Integration Lag. To rectify this, we propose Initial Energy Injection, instantiated via two complementary methods: the