How I Understand Flow Matching

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

[Tor Fjelde et al. 2024] An Introduction to Flow Matching
https://mlg.eng.cam.ac.uk/blog/2024/0...

[Jakub Tomczak] Flow Matching: Matching flows instead of scores
Blog: https://jmtomczak.github.io/blog/18/1...
Code example: https://github.com/jmtomczak/intro_dg...

===== Research talks =====
[Yaron Lipman] Flow Matching: Simplifying and Generalizing Diffusion Models
   • Flow Matching: Simplifying and Genera...  

[Michael S Albergo] Building Normalizing Flows with Stochastic Interpolants
   • Building Normalizing Flows with Stoch...  

[Alex Tong] Conditional Flow Matching
   • TransferLab Seminar: Conditional Flow...  

Thumbnail background image credit: https://unsplash.com/photos/a-close-u...