<ul data-eligibleForWebStory="false">Flow Matching (FM) is a simulation-free method for learning a continuous and invertible flow to interpolate between two distributions.Local Flow Matching (LFM) is introduced as a stepwise FM model that learns a sequence of FM sub-models, each matching a diffusion process.LFM enables the use of smaller models with faster training by consecutively matching distributions closer to each other.Empirical demonstrations show improved training efficiency and competitive generative performance of LFM compared to FM on various datasets.