mlsanityData to 7 Oct 2026

Tilted Schr"odinger Bridge Matching

arXiv 2609.34642 ↗First posted 28 Sep 2026cs.LGcited by 0

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Abstract (arXiv)

Schr"odinger bridges provide an entropy-regularized framework and a principled solution for unpaired domain translation. In practice, a pretrained bridge may need to be adapted to human preferences or physical constraints through a reward a problem closely related to reward tilting in diffusion models but underexplored for Schr"odinger bridges. We introduce Tilted Schr"odinger Bridge Matching (TSBM), a post-training method for fine-tuning a learned bridge P between source p0 and target p1 toward a reward-tilted target p1rpropto p1er, while preserving source p0. We formulate this adaptation as alternating optimization initialized from P, provide theoretical justification, and derive a practical algorithm based on Adjoint Matching. We evaluate TSBM on unpaired image-to-image translation targeting digit properties in MNIST and facial attributes in CelebA.

Key facts. No citing papers in the map yet (data through 7 Oct 2026). Builds on 42 of its 49 references that are in the map. First posted on arXiv 28 Sep 2026.

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42 of 49 references.

References · 42

  1. 2018The Unreasonable Effectiveness of Deep Features as a Perceptual Metriccited by 11,029
  2. 2020Score-Based Generative Modeling through Stochastic Differential Equationscited by 8,964
  3. 2021Diffusion Models Beat GANs on Image Synthesiscited by 8,185
  4. 2022Classifier-Free Diffusion Guidancecited by 5,717
  5. 2021CLIPScore: A Reference-free Evaluation Metric for Image Captioningcited by 2,388
  6. 2022Diffusion Posterior Sampling for General Noisy Inverse Problemscited by 1,375
  7. 2023ImageReward: Learning and Evaluating Human Preferences for Text-to-Image Generationcited by 1,010
  8. 2023Pick-a-Pic: An Open Dataset of User Preferences for Text-to-Image Generationcited by 950
  9. 2023Training Diffusion Models with Reinforcement Learningcited by 939
  10. 2023Human Preference Score v2: A Solid Benchmark for Evaluating Human Preferences of Text-to-Image Synthesiscited by 847
  11. 2023Diffusion Model Alignment Using Direct Preference Optimizationcited by 767
  12. 2025Flow-GRPO: Training Flow Matching Models via Online RLcited by 605
30 more
  1. 2021Diffusion Schr"odinger Bridge with Applications to Score-Based Generative Modelingcited by 594
  2. 2023Directly Fine-Tuning Diffusion Models on Differentiable Rewardscited by 431
  3. 2013A survey of the Schr"odinger problem and some of its connections with optimal transportcited by 286
  4. 2024Adjoint Matching: Fine-tuning Flow and Diffusion Generative Models with Memoryless Stochastic Optimal Controlcited by 222
  5. 2023Practical and Asymptotically Exact Conditional Sampling in Diffusion Modelscited by 218
  6. 2025d1: Scaling Reasoning in Diffusion Large Language Models via Reinforcement Learningcited by 178
  7. 2023Denoising Diffusion Bridge Modelscited by 171
  8. 2023Denoising Diffusion Samplerscited by 144
  9. 2021Solving Schr"odinger Bridges via Maximum Likelihoodcited by 140
  10. 2024Fine-Tuning of Continuous-Time Diffusion Models as Entropy-Regularized Controlcited by 136
  11. 2022Diffusion Models for Counterfactual Explanationscited by 79
  12. 2025Adjoint Sampling: Highly Scalable Diffusion Samplers via Adjoint Matchingcited by 78
  13. 2024Fine-Tuning Discrete Diffusion Models via Reward Optimization with Applications to DNA and Protein Designcited by 72
  14. 2023Direct Diffusion Bridge using Data Consistency for Inverse Problemscited by 65
  15. 2022Entropic Neural Optimal Transport via Diffusion Processescited by 49
  16. 2024Light and Optimal Schr"odinger Bridge Matchingcited by 45
  17. 2023Stochastic Optimal Control Matchingcited by 39
  18. 2026Reinforce Adjoint Matching: Scaling RL Post-Training of Diffusion and Flow-Matching Modelscited by 17
  19. 2022On the Convergence Rate of Sinkhorn's Algorithmcited by 16
  20. 2025RNE: plug-and-play diffusion inference-time control and energy-based trainingcited by 16
  21. 2025Inverse Bridge Matching Distillationcited by 13
  22. 2024Preference Alignment with Flow Matchingcited by 11
  23. 2026Discrete Adjoint Matchingcited by 10
  24. 2024Diffusion & Adversarial Schr"odinger Bridges via Iterative Proportional Markovian Fittingcited by 9
  25. 2025Physics-Constrained Fine-Tuning of Flow-Matching Models for Generation and Inverse Problemscited by 8
  26. 2025InfoBridge: Mutual Information estimation via Bridge Matchingcited by 7
  27. 2025Data-to-Energy Stochastic Dynamicscited by 5
  28. 2026Efficient Generative Modeling beyond Memoryless Diffusion via Adjoint Schr"odinger Bridge Matchingcited by 4
  29. 2026Constrained Flow Optimization via Sequential Fine Tuning for Molecular Designcited by 2
  30. 2026Discrete Bridges for Mutual Information Estimationcited by 1

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