Transition Flow Matching

Chenrui Ma

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arXiv · 2603.15689

Transition Flow Matching

Chenrui Ma

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Abstract

Mainstream flow matching methods typically focus on learning the local velocity field, which inherently requires multiple integration steps during generation. In contrast, Mean Velocity Flow models establish a relationship between the local velocity field and the global mean velocity, enabling the latter to be learned through a mathematically grounded formulation and allowing generation to be transferred to arbitrary future time points. In this work, we propose a new paradigm that directly learns the transition flow. As a global quantity, the transition flow naturally supports generation in a single step or at arbitrary time points. Furthermore, we demonstrate the connection between our approach and Mean Velocity Flow, establishing a unified theoretical perspective. Extensive experiments validate the effectiveness of our method and support our theoretical claims.

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BibTeX RIS

Chenrui Ma. 2026-03-16. Transition Flow Matching. https://arxiv.org/abs/2603.15689

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