mlsanityData to 7 Oct 2026

BM2: Coupled Schr"odinger Bridge Matching

arXiv 2409.09376 ↗First posted 14 Sep 2024cs.LG stat.MLcited by 4

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Abstract (arXiv)

A Schr"odinger bridge establishes a dynamic transport map between two target distributions via a reference process, simultaneously solving an associated entropic optimal transport problem. We consider the setting where samples from the target distributions are available, and the reference diffusion process admits tractable dynamics. We thus introduce Coupled Bridge Matching (BM2), a simple non-iterative approach for learning Schr"odinger bridges with neural networks. A preliminary theoretical analysis of the convergence properties of BM2 is carried out, supported by numerical experiments that demonstrate the effectiveness of our proposal.

Key facts. Cited by 4 papers in the map (data through 7 Oct 2026). Builds on 16 of its 29 references that are in the map. First posted on arXiv 14 Sep 2024.

Builds on

16 of 29 references.

References · 16

  1. 2020Denoising Diffusion Probabilistic Modelscited by 20,851
  2. 2020Score-Based Generative Modeling through Stochastic Differential Equationscited by 8,964
  3. 2018Computational Optimal Transportcited by 765
  4. 2021Diffusion Schr"odinger Bridge with Applications to Score-Based Generative Modelingcited by 594
  5. 2013A survey of the Schr"odinger problem and some of its connections with optimal transportcited by 286
  6. 2021Likelihood Training of Schr"odinger Bridge using Forward-Backward SDEs Theorycited by 216
  7. 2023I2SB: Image-to-Image Schr"odinger Bridgecited by 214
  8. 2023Diffusion Schr"odinger Bridge Matchingcited by 151
  9. 2021Solving Schr"odinger Bridges via Maximum Likelihoodcited by 140
  10. 2022Let us Build Bridges: Understanding and Extending Diffusion Generative Modelscited by 102
  11. 2023Diffusion Bridge Mixture Transports, Schr"odinger Bridge Problems and Generative Modelingcited by 80
  12. 2024Light and Optimal Schr"odinger Bridge Matchingcited by 45
4 more
  1. 2023Aligned Diffusion Schr"odinger Bridgescited by 38
  2. 2020Entropy-Regularized 2-Wasserstein Distance between Gaussian Measurescited by 32
  3. 2023Building the Bridge of Schr"odinger: A Continuous Entropic Optimal Transport Benchmarkcited by 19
  4. 2023Light Schr"odinger Bridgecited by 18

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Cited by year

Citing papers per year: 2025: 4.

4 papers.

  1. 2025Branched Schr"odinger Bridge Matchingcited by 4
  2. 2025Incorporating Pre-trained Diffusion Models in Solving the Schr"odinger Bridge Problemcited by 1
  3. 2025Multi-Marginal Schr"odinger Bridge Matchingcited by 0
  4. 2025Statistical Analysis of the Sinkhorn Iterations for Two-Sample Schr"odinger Bridge Estimationcited by 0