mlsanityData to 7 Oct 2026

Flow Matching Guide and Code

arXiv 2412.06264 ↗First posted 9 Dec 2024cs.LGcited by 291

On the map: Diffusion models → Flow matching, time series and science

Abstract (arXiv)

Flow Matching (FM) is a recent framework for generative modeling that has achieved state-of-the-art performance across various domains, including image, video, audio, speech, and biological structures. This guide offers a comprehensive and self-contained review of FM, covering its mathematical foundations, design choices, and extensions. By also providing a PyTorch package featuring relevant examples (e.g., image and text generation), this work aims to serve as a resource for both novice and experienced researchers interested in understanding, applying and further developing FM.

Key facts. Cited by 291 papers in the map (data through 7 Oct 2026). Placed in Flow matching, time series and science, one of 14 directions in Diffusion models. First posted on arXiv 9 Dec 2024.

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Cited by year (2026 to 7 Oct)

Citing papers per year: 2024: 1; 2025: 132; 2026: 158.

291 papers.

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  1. 2025X-VLA: Soft-Prompted Transformer as Scalable Cross-Embodiment Vision-Language-Action Modelcited by 285
  2. 2025Sundial: A Family of Highly Capable Time Series Foundation Modelscited by 168
  3. 2025Flow Q-Learningcited by 162
  4. 2025Steering Your Diffusion Policy with Latent Space Reinforcement Learningcited by 149
  5. 2025A Survey on Vision-Language-Action Models: An Action Tokenization Perspectivecited by 96
  6. 2025Diffuse and Disperse: Image Generation with Representation Regularizationcited by 67
  7. 2025Horizon Reduction Makes RL Scalablecited by 55
  8. 2025Edit Flows: Flow Matching with Edit Operationscited by 53
  9. 2025Diffusion Guidance Is a Controllable Policy Improvement Operatorcited by 51
  10. 2025On the Closed-Form of Flow Matching: Generalization Does Not Arise from Target Stochasticitycited by 48
  11. 2025CFG-Zero*: Improved Classifier-Free Guidance for Flow Matching Modelscited by 47
  12. 2025On the Guidance of Flow Matchingcited by 44
38 more
  1. 2025Inference-Time Scaling for Flow Models via Stochastic Generation and Rollover Budget Forcingcited by 37
  2. 2025Failure Prediction at Runtime for Generative Robot Policiescited by 36
  3. 2025An Introduction to Flow Matching and Diffusion Modelscited by 33
  4. 2026Q-learning with Adjoint Matchingcited by 33
  5. 2025Scaling Offline RL via Efficient and Expressive Shortcut Modelscited by 27
  6. 2025An Analytical Theory of Spectral Bias in the Learning Dynamics of Diffusion Modelscited by 26
  7. 2026Diamond Maps: Efficient Reward Alignment via Stochastic Flow Mapscited by 26
  8. 2025Training-Free Guidance Beyond Differentiability: Scalable Path Steering with Tree Search in Diffusion and Flow Modelscited by 23
  9. 2025Consistent Sampling and Simulation: Molecular Dynamics with Energy-Based Diffusion Modelscited by 23
  10. 2026InternVL-U: Democratizing Unified Multimodal Models for Understanding, Reasoning, Generation and Editingcited by 23
  11. 2025Flow Matching-Based Autonomous Driving Planning with Advanced Interactive Behavior Modelingcited by 22
  12. 2025Temporal Difference Flowscited by 20
  13. 2026FASTER: Rethinking Real-Time Flow VLAscited by 20
  14. 2025CellFlux: Simulating Cellular Morphology Changes via Flow Matchingcited by 19
  15. 2025Action-Minimization Meets Generative Modeling: Efficient Transition Path Sampling with the Onsager-Machlup Functionalcited by 18
  16. 2025Align-Then-stEer: Adapting the Vision-Language Action Models through Unified Latent Guidancecited by 18
  17. 2025Equilibrium Matching: Generative Modeling with Implicit Energy-Based Modelscited by 18
  18. 2025Steering Vision-Language-Action Models as Anti-Exploration: A Test-Time Scaling Approachcited by 18
  19. 2025α-Flow: A Unified Framework for Continuous-State Discrete Flow Matching Modelscited by 17
  20. 2025GLASS Flows: Transition Sampling for Alignment of Flow and Diffusion Modelscited by 17
  21. 2025OneFlow: Concurrent Mixed-Modal and Interleaved Generation with Edit Flowscited by 17
  22. 2025The Curse of Conditions: Analyzing and Improving Optimal Transport for Conditional Flow-Based Generationcited by 16
  23. 2025FS-DFM: Fast and Accurate Long Text Generation with Few-Step Diffusion Language Modelscited by 16
  24. 2025On the Relation between Rectified Flows and Optimal Transportcited by 15
  25. 2025Psi-Sampler: Initial Particle Sampling for SMC-Based Inference-Time Reward Alignment in Score Modelscited by 15
  26. 2025Flow Density Control: Generative Optimization Beyond Entropy-Regularized Fine-Tuningcited by 15
  27. 2025WAM-Flow: Parallel Coarse-to-Fine Motion Planning via Discrete Flow Matching for Autonomous Drivingcited by 15
  28. 2025Flow Matching Meets Biology and Life Science: A Surveycited by 14
  29. 2025A Theoretical Analysis of Discrete Flow Matching Generative Modelscited by 13
  30. 2025Carr'e du champ flow matching: better quality-generalisation tradeoff in generative modelscited by 13
  31. 2025GARF: Learning Generalizable 3D Reassembly for Real-World Fracturescited by 12
  32. 2025Flow Matching with Semidiscrete Couplingscited by 12
  33. 2025Value Flowscited by 12
  34. 2025Transitive RL: Value Learning via Divide and Conquercited by 12
  35. 2025Scalable Offline Model-Based RL with Action Chunkscited by 12
  36. 2026Lance: Unified Multimodal Modeling by Multi-Task Synergycited by 11
  37. 2025Riemannian Flow Matching for Brain Connectivity Matrices via Pullback Geometrycited by 10
  38. 2025On Fitting Flow Models with Large Sinkhorn Couplingscited by 10

50 most cited of 291 All 291 (JSON)

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  1. 2024Explicit Flow Matching: On The Theory of Flow Matching Algorithms with Applications
  2. 2024Flow Generator Matching
  3. 2024Local Flow Matching Generative Models
  4. 2026Warm-Start Flow Matching for Guaranteed Fast Text/Image Generation
  5. 2024Consistency Flow Matching: Defining Straight Flows with Velocity Consistency
  6. 2024Optimal Flow Matching: Learning Straight Trajectories in Just One Step
  7. 2026A Flow Matching Algorithm for Many-Shot Adaptation to Unseen Distributions
  8. 2026Flow Matching with Arbitrary Auxiliary Paths