mlsanityData to 7 Oct 2026

Simple ReFlow: Improved Techniques for Fast Flow Models

arXiv 2410.07815 ↗First posted 10 Oct 2024cs.LG cs.CVcited by 34

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

Abstract (arXiv)

Diffusion and flow-matching models achieve remarkable generative performance but at the cost of many sampling steps, this slows inference and limits applicability to time-critical tasks. The ReFlow procedure can accelerate sampling by straightening generation trajectories. However, ReFlow is an iterative procedure, typically requiring training on simulated data, and results in reduced sample quality. To mitigate sample deterioration, we examine the design space of ReFlow and highlight potential pitfalls in prior heuristic practices. We then propose seven improvements for training dynamics, learning and inference, which are verified with thorough ablation studies on CIFAR10 32 × 32, AFHQv2 64 × 64, and FFHQ 64 × 64. Combining all our techniques, we achieve state-of-the-art FID scores (without / with guidance, resp.) for fast generation via neural ODEs: 2.23 / 1.98 on CIFAR10, 2.30 / 1.91 on AFHQv2, 2.84 / 2.67 on FFHQ, and 3.49 / 1.74 on ImageNet-64, all with merely 9 neural function evaluations.

Key facts. Cited by 34 papers in the map (data through 7 Oct 2026). Placed in Flow matching, time series and science, one of 14 directions in Diffusion models. Builds on 49 of its 64 references that are in the map. First posted on arXiv 10 Oct 2024.

Builds on

49 of 64 references.

Closest ancestors · 7

Same direction, newest first

  1. 2024Improving the Training of Rectified Flows30 May
  2. 2023InstaFlow: One Step is Enough for High-Quality Diffusion-Based Text-to-Image Generation12 Sep
  3. 2023Multisample Flow Matching: Straightening Flows with Minibatch Couplings28 Apr
  4. 2023Improving and generalizing flow-based generative models with minibatch optimal transport1 Feb
  5. 2022Flow Matching for Generative Modeling6 Oct
  6. 2022Rectified Flow: A Marginal Preserving Approach to Optimal Transport29 Sep
  7. 2022Flow Straight and Fast: Learning to Generate and Transfer Data with Rectified Flow7 Sep

Other references · 42

  1. 2020Denoising Diffusion Probabilistic Modelscited by 20,851
  2. 2021High-Resolution Image Synthesis with Latent Diffusion Modelscited by 18,694
  3. 2020Denoising Diffusion Implicit Modelscited by 9,655
  4. 2020Score-Based Generative Modeling through Stochastic Differential Equationscited by 8,964
  5. 2021Diffusion Models Beat GANs on Image Synthesiscited by 8,185
  6. 2015Deep Unsupervised Learning using Nonequilibrium Thermodynamicscited by 7,005
  7. 2018A Style-Based Generator Architecture for Generative Adversarial Networkscited by 5,986
  8. 2022Elucidating the Design Space of Diffusion-Based Generative Modelscited by 2,994
  9. 2013Sinkhorn Distances: Lightspeed Computation of Optimal Transportation Distancescited by 2,277
  10. 2022DPM-Solver: A Fast ODE Solver for Diffusion Probabilistic Model Sampling in Around 10 Stepscited by 1,961
  11. 2021SDEdit: Guided Image Synthesis and Editing with Stochastic Differential Equationscited by 1,903
  12. 2023Consistency Modelscited by 1,778
30 more
  1. 2022Diffusion Posterior Sampling for General Noisy Inverse Problemscited by 1,375
  2. 2017Multi-Task Learning Using Uncertainty to Weigh Losses for Scene Geometry and Semanticscited by 1,345
  3. 2021Alias-Free Generative Adversarial Networkscited by 1,181
  4. 2019StarGAN v2: Diverse Image Synthesis for Multiple Domainscited by 1,095
  5. 2023Stochastic Interpolants: A Unifying Framework for Flows and Diffusionscited by 897
  6. 2021Diffusion Schr"odinger Bridge with Applications to Score-Based Generative Modelingcited by 594
  7. 2022Fast Sampling of Diffusion Models with Exponential Integratorcited by 526
  8. 2023Consistency Trajectory Models: Learning Probability Flow ODE Trajectory of Diffusioncited by 448
  9. 2023Improved Techniques for Training Consistency Modelscited by 430
  10. 2023Simple diffusion: End-to-end diffusion for high resolution imagescited by 413
  11. 2023Analyzing and Improving the Training Dynamics of Diffusion Modelscited by 396
  12. 2023Common Diffusion Noise Schedules and Sample Steps are Flawedcited by 308
  13. 2023Your Diffusion Model is Secretly a Zero-Shot Classifiercited by 301
  14. 2023Understanding Diffusion Objectives as the ELBO with Simple Data Augmentationcited by 293
  15. 2024Guiding a Diffusion Model with a Bad Version of Itselfcited by 286
  16. 2022Dual Diffusion Implicit Bridges for Image-to-Image Translationcited by 212
  17. 2023Generalization in diffusion models arises from geometry-adaptive harmonic representationscited by 179
  18. 2024Consistency Models Made Easycited by 140
  19. 2022GENIE: Higher-Order Denoising Diffusion Solverscited by 127
  20. 2022Diffusion Probabilistic Model Made Slimcited by 121
  21. 2017The Cramer Distance as a Solution to Biased Wasserstein Gradientscited by 116
  22. 2022Optimal Transport Tools (OTT): A JAX Toolbox for all things Wassersteincited by 96
  23. 2023Minimizing Trajectory Curvature of ODE-based Generative Modelscited by 87
  24. 2023Fast ODE-based Sampling for Diffusion Models in Around 5 Stepscited by 83
  25. 2023Diffusion Bridge Mixture Transports, Schr"odinger Bridge Problems and Generative Modelingcited by 80
  26. 2023Non-Denoising Forward-Time Diffusionscited by 75
  27. 2022Can Push-forward Generative Models Fit Multimodal Distributions?cited by 41
  28. 2023HiPA: Enabling One-Step Text-to-Image Diffusion Models via High-Frequency-Promoting Adaptationcited by 16
  29. 2022Denoising MCMC for Accelerating Diffusion-Based Generative Modelscited by 13
  30. 2023Distilling ODE Solvers of Diffusion Models into Smaller Stepscited by 11

Built on by

Cited by year (2026 to 7 Oct)

Citing papers per year: 2024: 2; 2025: 25; 2026: 7.

34 papers.

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By area:

  1. 2025Decoupled DMD: CFG Augmentation as the Spear, Distribution Matching as the Shieldcited by 38
  2. 2025MoFlow: One-Step Flow Matching for Human Trajectory Forecasting via Implicit Maximum Likelihood Estimation based Distillationcited by 31
  3. 2024SnapGen-V: Generating a Five-Second Video within Five Seconds on a Mobile Devicecited by 25
  4. 2025Composition and Control with Distilled Energy Diffusion Models and Sequential Monte Carlocited by 18
  5. 2025VCT: Training Consistency Models with Variational Noise Couplingcited by 15
  6. 2025ReDi: Rectified Discrete Flowcited by 13
  7. 2025Flow Matching with Semidiscrete Couplingscited by 12
  8. 2025Learn to Guide Your Diffusion Modelcited by 12
  9. 2025Adams Bashforth Moulton Solver for Inversion and Editing in Rectified Flowcited by 10
  10. 2025On Fitting Flow Models with Large Sinkhorn Couplingscited by 10
  11. 2025Taming Diffusion Transformer for Efficient Mobile Video Generation in Secondscited by 8
  12. 2025InfoBridge: Mutual Information estimation via Bridge Matchingcited by 7
22 more
  1. 2025Taming Flow Matching with Unbalanced Optimal Transport into Fast Pansharpeningcited by 6
  2. 2025The Generation Phases of Flow Matching: a Denoising Perspectivecited by 6
  3. 2025Balanced conic rectified flowcited by 4
  4. 2025Disentangling Total-Variance and Signal-to-Noise-Ratio Improves Diffusion Modelscited by 3
  5. 2025Fine-Tuning Diffusion Models via Intermediate Distribution Shapingcited by 3
  6. 2025FlowEO: Generative Unsupervised Domain Adaptation for Earth Observationcited by 3
  7. 2025Schr"odinger Bridge Matching for Tree-Structured Costs and Entropic Wasserstein Barycentrescited by 2
  8. 2024Latent Schrodinger Bridge: Prompting Latent Diffusion for Fast Unpaired Image-to-Image Translationcited by 1
  9. 2025RapFlow-TTS: Rapid and High-Fidelity Text-to-Speech with Improved Consistency Flow Matchingcited by 1
  10. 2025Weighted Conditional Flow Matchingcited by 1
  11. 2026Fast, faithful and photorealistic diffusion-based image super-resolution with enhanced Flow Map modelscited by 1
  12. 2026MixFlow: Mixed Source Distributions Improve Rectified Flowscited by 1
  13. 2025OT-MeanFlow3D: Bridging Optimal Transport and Meanflow for Efficient 3D Point Cloud Generationcited by 0
  14. 2025ReSeFlow: Rectifying SE(3)-Equivariant Policy Learning Flowscited by 0
  15. 2025Align Your Tangent: Training Better Consistency Models via Manifold-Aligned Tangentscited by 0
  16. 2025Flows, straight but not so fast: Exploring the design space of Rectified Flows in Protein Designcited by 0
  17. 2025FlowBlending: Stage-Aware Multi-Model Sampling for Fast and High-Fidelity Video Generationcited by 0
  18. 2026Post-Hoc Guidance for Consistency Models by Joint Flow Distribution Learningcited by 0
  19. 2026SymDrift: One-Shot Generative Modeling under Symmetriescited by 0
  20. 2026IB-Flow: Information Bottleneck-Guided CFG Distillation for Few-Step Text-to-Image Generationcited by 0
  21. 2026Efficient 3D Whole-Body PET Image Denoising via Conditional Rectified Flow With Optimized Sampling Strategycited by 0
  22. 2026Generative Learning for Ambisonic Upscalingcited by 0

Similar, not cited

Close in wording, no citation either way

  1. 2024Rectified Diffusion: Straightness Is Not Your Need in Rectified Flow
  2. 2025Diff2Flow: Training Flow Matching Models via Diffusion Model Alignment
  3. 2025A-FloPS: Accelerating Diffusion Models via Adaptive Flow Path Sampler
  4. 2024Analyzing and Mitigating Model Collapse in Rectified Flow Models
  5. 2024SlimFlow: Training Smaller One-Step Diffusion Models with Rectified Flow
  6. 2024Flow map matching with stochastic interpolants: A mathematical framework for consistency models
  7. 2025Shortcutting Pre-trained Flow Matching Diffusion Models is Almost Free Lunch
  8. 2025From Navigation to Refinement: Revealing the Two-Stage Nature of Flow-based Diffusion Models through Oracle Velocity