Flow Matching & Schrödinger Bridges Reading List

Curated by Mouhssine Rifaki | Stanford Electrical Engineering | Last updated August 2026

Flow matching and Schrödinger bridges turn generative modeling into learning a transport between distributions. The papers below link rectified flows, stochastic interpolants, and the classical Schrödinger problem to modern samplers.

Flow Matching & Schrödinger Bridges: 10 key papers

1. Flow Matching for Generative Modeling
   Lipman et al. arXiv 2022.
2. Flow Straight and Fast: Learning to Generate and Transfer Data with Rectified Flow
   Liu et al. arXiv 2022.
3. Stochastic Interpolants: A Unifying Framework for Flows and Diffusions
   Albergo et al. arXiv 2023.
4. Building Normalizing Flows with Stochastic Interpolants
   Albergo and Vanden-Eijnden. arXiv 2022.
5. Diffusion Schrödinger Bridge with Applications to Score-Based Generative Modeling
   De Bortoli et al. arXiv 2021.
6. Improving and generalizing flow-based generative models with minibatch optimal transport
   Tong et al. arXiv 2023.
7. Multisample Flow Matching: Straightening Flows with Minibatch Couplings
   Pooladian et al. arXiv 2023.
8. Action Matching: Learning Stochastic Dynamics from Samples
   Neklyudov et al. arXiv 2022.
9. Flow Matching on General Geometries
   Chen and Lipman. arXiv 2023.
10. Discrete Flow Matching
    Gat et al. arXiv 2024.

Related reading lists

• Generative Modeling
• Score-Based Generative Modeling
• Optimal Transport for Machine Learning
• Diffusion Models & Score-Based Generative Models
• Diffusion Models for Decision Making
• Variational Inference & ELBO
• Robust & Risk-Sensitive RL
• Imitation Learning and Inverse RL