mlsanityData to 7 Oct 2026

Align Your Steps: Optimizing Sampling Schedules in Diffusion Models

arXiv 2404.14507 ↗First posted 22 Apr 2024cs.CV cs.LGcited by 91

On the map: Diffusion models → Diffusion foundations and sampling

Abstract (arXiv)

Diffusion models (DMs) have established themselves as the state-of-the-art generative modeling approach in the visual domain and beyond. A crucial drawback of DMs is their slow sampling speed, relying on many sequential function evaluations through large neural networks. Sampling from DMs can be seen as solving a differential equation through a discretized set of noise levels known as the sampling schedule. While past works primarily focused on deriving efficient solvers, little attention has been given to finding optimal sampling schedules, and the entire literature relies on hand-crafted heuristics. In this work, for the first time, we propose a general and principled approach to optimizing the sampling schedules of DMs for high-quality outputs, called textitAlign Your Steps. We leverage methods from stochastic calculus and find optimal schedules specific to different solvers, trained DMs and datasets. We evaluate our novel approach on several image, video as well as 2D toy data synthesis benchmarks, using a variety of different samplers, and observe that our optimized schedules outperform previous hand-crafted schedules in almost all experiments. Our method demonstrates the untapped potential of sampling schedule optimization, especially in the few-step synthesis regime.

Key facts. Cited by 91 papers in the map (data through 7 Oct 2026). Placed in Diffusion foundations and sampling, one of 14 directions in Diffusion models. Builds on 54 of its 63 references that are in the map. First posted on arXiv 22 Apr 2024.

Builds on

54 of 63 references.

Closest ancestors · 34

Same direction, newest first

  1. 2024Scaling Rectified Flow Transformers for High-Resolution Image Synthesis5 Mar
  2. 2023One-step Diffusion with Distribution Matching Distillation30 Nov
  3. 2023Adversarial Diffusion Distillation28 Nov
  4. 2023DPM-Solver-v3: Improved Diffusion ODE Solver with Empirical Model Statistics20 Oct
  5. 2023Latent Consistency Models: Synthesizing High-Resolution Images with Few-Step Inference6 Oct
  6. 2023Consistency Trajectory Models: Learning Probability Flow ODE Trajectory of Diffusion1 Oct
  7. 2023Elucidating the solution space of extended reverse-time SDE for diffusion models12 Sep
  8. 2023SDXL: Improving Latent Diffusion Models for High-Resolution Image Synthesis4 Jul
  9. 2023Restart Sampling for Improving Generative Processes26 Jun
  10. 2023UniPC: A Unified Predictor-Corrector Framework for Fast Sampling of Diffusion Models9 Feb
  11. 2023Simple diffusion: End-to-end diffusion for high resolution images26 Jan
  12. 2022Fast Sampling of Diffusion Models via Operator Learning24 Nov
22 more
  1. 2022DPM-Solver++: Fast Solver for Guided Sampling of Diffusion Probabilistic Models2 Nov
  2. 2022GENIE: Higher-Order Denoising Diffusion Solvers11 Oct
  3. 2022On Distillation of Guided Diffusion Models6 Oct
  4. 2022Sampling is as easy as learning the score: theory for diffusion models with minimal data assumptions22 Sep
  5. 2022DPM-Solver: A Fast ODE Solver for Diffusion Probabilistic Model Sampling in Around 10 Steps2 Jun
  6. 2022Elucidating the Design Space of Diffusion-Based Generative Models1 Jun
  7. 2022Accelerating Diffusion Models via Early Stop of the Diffusion Process25 May
  8. 2022Fast Sampling of Diffusion Models with Exponential Integrator29 Apr
  9. 2022Pseudo Numerical Methods for Diffusion Models on Manifolds20 Feb
  10. 2022Truncated Diffusion Probabilistic Models and Diffusion-based Adversarial Auto-Encoders19 Feb
  11. 2022Learning Fast Samplers for Diffusion Models by Differentiating Through Sample Quality11 Feb
  12. 2021High-Resolution Image Synthesis with Latent Diffusion Models20 Dec
  13. 2021Tackling the Generative Learning Trilemma with Denoising Diffusion GANs15 Dec
  14. 2021Score-based Generative Modeling in Latent Space10 Jun
  15. 2021Learning to Efficiently Sample from Diffusion Probabilistic Models7 Jun
  16. 2021A Variational Perspective on Diffusion-Based Generative Models and Score Matching5 Jun
  17. 2021Gotta Go Fast When Generating Data with Score-Based Models28 May
  18. 2021Diffusion Models Beat GANs on Image Synthesis11 May
  19. 2021Improved Denoising Diffusion Probabilistic Models18 Feb
  20. 2020Score-Based Generative Modeling through Stochastic Differential Equations26 Nov
  21. 2020Denoising Diffusion Implicit Models6 Oct
  22. 2020Denoising Diffusion Probabilistic Models19 Jun

Other references · 20

  1. 2014Microsoft COCO: Common Objects in Contextcited by 17,498
  2. 2022Hierarchical Text-Conditional Image Generation with CLIP Latentscited by 6,539
  3. 2018A Style-Based Generator Architecture for Generative Adversarial Networkscited by 5,986
  4. 2022Flow Matching for Generative Modelingcited by 5,426
  5. 2022DreamFusion: Text-to-3D using 2D Diffusioncited by 3,006
  6. 2022InstructPix2Pix: Learning to Follow Image Editing Instructionscited by 2,591
  7. 2023Stable Video Diffusion: Scaling Latent Video Diffusion Models to Large Datasetscited by 2,526
  8. 2022Video Diffusion Modelscited by 2,280
  9. 2021Image Super-Resolution via Iterative Refinementcited by 1,506
  10. 2023Align your Latents: High-Resolution Video Synthesis with Latent Diffusion Modelscited by 1,465
  11. 2021Palette: Image-to-Image Diffusion Modelscited by 1,296
  12. 2022Magic3D: High-Resolution Text-to-3D Content Creationcited by 1,285
8 more
  1. 2018Demystifying MMD GANscited by 1,268
  2. 2021Frozen in Time: A Joint Video and Image Encoder for End-to-End Retrievalcited by 1,175
  3. 2022Planning with Diffusion for Flexible Behavior Synthesiscited by 1,023
  4. 2023Stochastic Interpolants: A Unifying Framework for Flows and Diffusionscited by 897
  5. 2023InstaFlow: One Step is Enough for High-Quality Diffusion-Based Text-to-Image Generationcited by 387
  6. 2020The Creation and Detection of Deepfakes: A Surveycited by 246
  7. 2023UFOGen: You Forward Once Large Scale Text-to-Image Generation via Diffusion GANscited by 165
  8. 2019Deep Learning for Deepfakes Creation and Detection: A Surveycited by 102

Built on by

Cited by year (2026 to 7 Oct)

Citing papers per year: 2024: 16; 2025: 38; 2026: 37.

91 papers.

Sort:

By area:

  1. 2024Guiding a Diffusion Model with a Bad Version of Itselfcited by 286
  2. 2024Golden Noise for Diffusion Models: A Learning Frameworkcited by 91
  3. 2025Align Your Flow: Scaling Continuous-Time Flow Map Distillationcited by 81
  4. 2024On the Trajectory Regularity of ODE-based Diffusion Samplingcited by 51
  5. 2024textitJump Your Steps: Optimizing Sampling Schedule of Discrete Diffusion Modelscited by 40
  6. 2024Learning to Discretize Denoising Diffusion ODEscited by 39
  7. 2024Zigzag Diffusion Sampling: Diffusion Models Can Self-Improve via Self-Reflectioncited by 38
  8. 2025Efficient Diffusion Models: A Surveycited by 35
  9. 2024DCTdiff: Intriguing Properties of Image Generative Modeling in the DCT Spacecited by 32
  10. 2025Region-Adaptive Sampling for Diffusion Transformerscited by 31
  11. 2025Accelerated Diffusion Models via Speculative Samplingcited by 30
  12. 2024Token Caching for Diffusion Transformer Accelerationcited by 29
38 more
  1. 2024Schedule On the Fly: Diffusion Time Prediction for Faster and Better Image Generationcited by 29
  2. 2024Beta Sampling is All You Need: Efficient Image Generation Strategy for Diffusion Models using Stepwise Spectral Analysiscited by 19
  3. 2025CMT: Mid-Training for Efficient Learning of Consistency, Mean Flow, and Flow Map Modelscited by 18
  4. 2024Presto! Distilling Steps and Layers for Accelerating Music Generationcited by 16
  5. 2024Score-Optimal Diffusion Schedulescited by 16
  6. 2025Lipschitz-Guided Design of Interpolation Schedules in Generative Modelscited by 15
  7. 2024DiffFNO: Diffusion Fourier Neural Operatorcited by 13
  8. 2025Entropic Time Schedulers for Generative Diffusion Modelscited by 13
  9. 2025Distilling Parallel Gradients for Fast ODE Solvers of Diffusion Modelscited by 13
  10. 2025Spectral Analysis of Diffusion Models with Application to Schedule Designcited by 12
  11. 2025The Cosine Schedule is Fisher-Rao-Optimal for Masked Discrete Diffusion Modelscited by 11
  12. 2025S4S: Solving for a Diffusion Model Solvercited by 10
  13. 2025EVODiff: Entropy-aware Variance Optimized Diffusion Inferencecited by 10
  14. 2025Generalised Flow Maps for Few-Step Generative Modelling on Riemannian Manifoldscited by 10
  15. 2026Agentic World Modeling: Foundations, Capabilities, Laws, and Beyondcited by 10
  16. 2025Learning to Integrate Diffusion ODEs by Averaging the Derivativescited by 9
  17. 2025Learnable Sampler Distillation for Discrete Diffusion Modelscited by 8
  18. 2024PFDiff: Training-Free Acceleration of Diffusion Models Combining Past and Future Scorescited by 7
  19. 2025RainFusion: Adaptive Video Generation Acceleration via Multi-Dimensional Visual Redundancycited by 7
  20. 2025Two-Steps Diffusion Policy for Robotic Manipulation via Genetic Denoisingcited by 7
  21. 2026SANTS: A State-Adaptive Scheduler for World Action Modelscited by 7
  22. 2025Taming Flow Matching with Unbalanced Optimal Transport into Fast Pansharpeningcited by 6
  23. 2025Efficient and Unbiased Sampling from Boltzmann Distributions via Variance-Tuned Diffusion Modelscited by 6
  24. 2026Efficient Video Diffusion Models: Advancements and Challengescited by 6
  25. 2025Optimal Stepsize for Diffusion Samplingcited by 5
  26. 2025Score Distillation Sampling for Audio: Source Separation, Synthesis, and Beyondcited by 5
  27. 2025Differentiable Solver Search for Fast Diffusion Samplingcited by 5
  28. 2024Enhancing Sample Generation of Diffusion Models using Noise Level Correctioncited by 4
  29. 2025A Comprehensive Review on Noise Control of Diffusion Modelcited by 4
  30. 2025Improving Diffusion-based Inverse Algorithms under Few-Step Constraint via Learnable Linear Extrapolationcited by 4
  31. 2026DyWeight: Dynamic Gradient Weighting for Few-Step Diffusion Samplingcited by 4
  32. 2025Geometric Regularity in Deterministic Sampling Dynamics of Diffusion-based Generative Modelscited by 3
  33. 2025Understanding, Accelerating, and Improving MeanFlow Trainingcited by 3
  34. 2025Self-Evaluation Unlocks Any-Step Text-to-Image Generationcited by 3
  35. 2025Parallel Diffusion Solver via Residual Dirichlet Policy Optimizationcited by 3
  36. 2026ART for Diffusion Sampling: A Reinforcement Learning Approach to Timestep Schedulecited by 3
  37. 2026Formalizing the Sampling Design Space of Diffusion-Based Generative Models via Adaptive Solvers and Wasserstein-Bounded Timestepscited by 3
  38. 2026Few-Step Diffusion Sampling Through Instance-Aware Discretizationscited by 3

50 most cited of 91 All 91 (JSON)

Similar, not cited

Close in wording, no citation either way

  1. 2023Sampler Scheduler for Diffusion Models
  2. 2025Hierarchical Schedule Optimization for Fast and Robust Diffusion Model Sampling
  3. 2025F-scheduler: illuminating the free-lunch design space for fast sampling of diffusion models
  4. 2024Optimizing Few-Step Sampler for Diffusion Probabilistic Model
  5. 2024Accelerating Diffusion Sampling with Optimized Time Steps
  6. 2024Towards Faster Training of Diffusion Models: An Inspiration of A Consistency Phenomenon
  7. 2024Improved Noise Schedule for Diffusion Training
  8. 2025SynBoost: A Synergistic Framework for Fast Sampling of Diffusion Models