## Computer Science > Artificial Intelligence ## Title:MintFlow: Minimal Trajectory Intervention for Constrained Flow Matching > Abstract:Flow matching models excel at generative modeling, and many downstream applications require their samples to satisfy prescribed constraints, such as observed measurements and physical laws. However, existing constrained samplers often face a trade-off: \textit{enforcing constraints can substantially displace samples from the pretrained data distribution}. To address this trade-off, we introduce \textbf{MintFlow}, a training-free constrained sampling…