How I Understand Flow Matching

Abstract

Flow matching is a new generative modeling method that combines the advantages of Continuous Normalising Flows (CNFs) and Diffusion Models (DMs).

In this tutorial, I share my understanding of the basics of flow matching and provide an overview of how these ideas evolve over time.

Check out the resources below to learn more about this topic.

===== Paper/blog survey ===== [Papamakarios et al. 2021] Normalizing flows for probabilistic modeling and inference https://arxiv.org/abs/1912.02762

[Kobyzev et al. 2020] Normalizing Flows: An Introduction and Review of Current Methods https://arxiv.org/abs/1908.09257

[Jakub Tomczak] Flow Matching: Matching flows instead of scores