mlsanityData to 7 Oct 2026

Golden Noise for Diffusion Models: A Learning Framework

arXiv 2411.09502 ↗First posted 14 Nov 2024cs.LG cs.CVcited by 91

On the map: Diffusion models → Diffusion foundations and sampling

Abstract (arXiv)

Text-to-image diffusion model is a popular paradigm that synthesizes personalized images by providing a text prompt and a random Gaussian noise. While people observe that some noises are ``golden noises'' that can achieve better text-image alignment and higher human preference than others, we still lack a machine learning framework to obtain those golden noises. To learn golden noises for diffusion sampling, we mainly make three contributions in this paper. First, we identify a new concept termed the textitnoise prompt, which aims at turning a random Gaussian noise into a golden noise by adding a small desirable perturbation derived from the text prompt. Following the concept, we first formulate the textitnoise prompt learning framework that systematically learns ``prompted'' golden noise associated with a text prompt for diffusion models. Second, we design a noise prompt data collection pipeline and collect a large-scale textitnoise prompt dataset~(NPD) that contains 100k pairs of random noises and golden noises with the associated text prompts. With the prepared NPD as the training dataset, we trained a small textitnoise prompt network~(NPNet) that can directly learn to transform a random noise into a golden noise. The learned golden noise perturbation can be considered as a kind of prompt for noise, as it is rich in semantic information and tailored to the given text prompt. Third, our extensive experiments demonstrate the impressive effectiveness and generalization of NPNet on improving the quality of synthesized images across various diffusion models, including SDXL, DreamShaper-xl-v2-turbo, and Hunyuan-DiT. Moreover, NPNet is a small and efficient controller that acts as a plug-and-play module with very limited additional inference and computational costs, as it just provides a golden noise instead of a random noise without accessing the original pipeline.

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 42 of its 55 references that are in the map. First posted on arXiv 14 Nov 2024.

Builds on

42 of 55 references.

Closest ancestors · 22

Same direction, newest first

  1. 2024Eliminating Oversaturation and Artifacts of High Guidance Scales in Diffusion Models3 Oct
  2. 2024Alignment of Diffusion Models: Fundamentals, Challenges, and Future11 Sep
  3. 2024Smoothed Energy Guidance: Guiding Diffusion Models with Reduced Energy Curvature of Attention1 Aug
  4. 2024Not All Noises Are Created Equally:Diffusion Noise Selection and Optimization19 Jul
  5. 2024CFG++: Manifold-constrained Classifier Free Guidance for Diffusion Models12 Jun
  6. 2024Slight Corruption in Pre-training Data Makes Better Diffusion Models30 May
  7. 2024Align Your Steps: Optimizing Sampling Schedules in Diffusion Models22 Apr
  8. 2024Self-Rectifying Diffusion Sampling with Perturbed-Attention Guidance26 Mar
  9. 2023One More Step: A Versatile Plug-and-Play Module for Rectifying Diffusion Schedule Flaws and Enhancing Low-Frequency Controls27 Nov
  10. 2023Latent Consistency Models: Synthesizing High-Resolution Images with Few-Step Inference6 Oct
  11. 2023PixArt-α: Fast Training of Diffusion Transformer for Photorealistic Text-to-Image Synthesis30 Sep
  12. 2023SDXL: Improving Latent Diffusion Models for High-Resolution Image Synthesis4 Jul
10 more
  1. 2022Scalable Diffusion Models with Transformers19 Dec
  2. 2022On Distillation of Guided Diffusion Models6 Oct
  3. 2022Improving Sample Quality of Diffusion Models Using Self-Attention Guidance3 Oct
  4. 2022Classifier-Free Diffusion Guidance26 Jul
  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. 2022Pseudo Numerical Methods for Diffusion Models on Manifolds20 Feb
  8. 2021High-Resolution Image Synthesis with Latent Diffusion Models20 Dec
  9. 2020Denoising Diffusion Implicit Models6 Oct
  10. 2020Denoising Diffusion Probabilistic Models19 Jun

Other references · 20

  1. 2021Learning Transferable Visual Models From Natural Language Supervisioncited by 33,456
  2. 2023Direct Preference Optimization: Your Language Model is Secretly a Reward Modelcited by 7,916
  3. 2020Scaling Laws for Neural Language Modelscited by 6,411
  4. 2023Adding Conditional Control to Text-to-Image Diffusion Modelscited by 5,466
  5. 2021CLIPScore: A Reference-free Evaluation Metric for Image Captioningcited by 2,388
  6. 2021Pre-train, Prompt, and Predict: A Systematic Survey of Prompting Methods in Natural Language Processingcited by 2,222
  7. 2022RePaint: Inpainting using Denoising Diffusion Probabilistic Modelscited by 1,419
  8. 2023Pick-a-Pic: An Open Dataset of User Preferences for Text-to-Image Generationcited by 950
  9. 2023GenEval: An Object-Focused Framework for Evaluating Text-to-Image Alignmentcited by 946
  10. 2023Human Preference Score v2: A Solid Benchmark for Evaluating Human Preferences of Text-to-Image Synthesiscited by 847
  11. 2023Attend-and-Excite: Attention-Based Semantic Guidance for Text-to-Image Diffusion Modelscited by 696
  12. 2024Hunyuan-DiT: A Powerful Multi-Resolution Diffusion Transformer with Fine-Grained Chinese Understandingcited by 294
8 more
  1. 2018A Note on the Inception Scorecited by 225
  2. 2024InitNO: Boosting Text-to-Image Diffusion Models via Initial Noise Optimizationcited by 123
  3. 2022Uncovering the Disentanglement Capability in Text-to-Image Diffusion Modelscited by 116
  4. 2024Learning Multi-dimensional Human Preference for Text-to-Image Generationcited by 102
  5. 2023Wuerstchen: An Efficient Architecture for Large-Scale Text-to-Image Diffusion Modelscited by 50
  6. 2024Good Seed Makes a Good Crop: Discovering Secret Seeds in Text-to-Image Diffusion Modelscited by 47
  7. 2024Diffusion Lens: Interpreting Text Encoders in Text-to-Image Pipelinescited by 28
  8. 2022On the Overlooked Structure of Stochastic Gradientscited by 13

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Cited by year (2026 to 7 Oct)

Citing papers per year: 2024: 2; 2025: 48; 2026: 41.

91 papers.

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  1. 2025Inference-Time Scaling for Diffusion Models beyond Scaling Denoising Stepscited by 225
  2. 2025In-Context Edit: Enabling Instructional Image Editing with In-Context Generation in Large Scale Diffusion Transformercited by 199
  3. 2025From Reflection to Perfection: Scaling Inference-Time Optimization for Text-to-Image Diffusion Models via Reflection Tuningcited by 53
  4. 2025Inference-Time Text-to-Video Alignment with Diffusion Latent Beam Searchcited by 40
  5. 2024Zigzag Diffusion Sampling: Diffusion Models Can Self-Improve via Self-Reflectioncited by 38
  6. 2025Scaling Image and Video Generation via Test-Time Evolutionary Searchcited by 38
  7. 2025Noise Hypernetworks: Amortizing Test-Time Compute in Diffusion Modelscited by 35
  8. 2025T2I-Copilot: A Training-Free Multi-Agent Text-to-Image System for Enhanced Prompt Interpretation and Interactive Generationcited by 31
  9. 2025Breaking Latent Prior Bias in Detectors for Generalizable AIGC Image Detectioncited by 16
  10. 2025ScalingNoise: Scaling Inference-Time Search for Generating Infinite Videoscited by 12
  11. 2025GARF: Learning Generalizable 3D Reassembly for Real-World Fracturescited by 12
  12. 2025Physics-Informed Distillation of Diffusion Models for PDE-Constrained Generationcited by 11
38 more
  1. 2025Winning the MIDST Challenge: New Membership Inference Attacks on Diffusion Models for Tabular Data Synthesiscited by 10
  2. 2025SuperFlow: Training Flow Matching Models with RL on the Flycited by 10
  3. 2025FerretNet: Efficient Synthetic Image Detection via Local Pixel Dependenciescited by 9
  4. 2026LatSearch: Latent Reward-Guided Search for Faster Inference-Time Scaling in Video Diffusioncited by 9
  5. 2025NoiseAR: AutoRegressing Initial Noise Prior for Diffusion Modelscited by 8
  6. 2024A Simple and Efficient Baseline for Zero-Shot Generative Classificationcited by 7
  7. 2025Towards Self-Improvement of Diffusion Models via Group Preference Optimizationcited by 7
  8. 2025Noise Matters: Optimizing Matching Noise for Diffusion Classifierscited by 7
  9. 2025Towards a Golden Classifier-Free Guidance Path via Foresight Fixed Point Iterationscited by 6
  10. 2026RAISE: Requirement-Adaptive Evolutionary Refinement for Training-Free Text-to-Image Alignmentcited by 6
  11. 2025Dimathtt[M]O: Distilling Masked Diffusion Models into One-step Generatorcited by 5
  12. 2026ConsistentRFT: Reducing Visual Hallucinations in Flow-based Reinforcement Fine-Tuningcited by 5
  13. 2026You've Got a Golden Ticket: Improving Generative Robot Policies With A Single Noise Vectorcited by 5
  14. 2025RewardSDS: Aligning Score Distillation via Reward-Weighted Samplingcited by 4
  15. 2025Antithetic Noise in Diffusion Modelscited by 4
  16. 2025Straighten Viscous Rectified Flow via Noise Optimizationcited by 4
  17. 2025SONIC: Spectral Optimization of Noise for Inpainting with Consistencycited by 4
  18. 2025AutoRefiner: Improving Autoregressive Video Diffusion Models via Reflective Refinement Over the Stochastic Sampling Pathcited by 4
  19. 2026Weak Diffusion Priors Can Still Achieve Strong Inverse-Problem Performancecited by 4
  20. 2026ReFORM: Reflected Flows for On-support Offline RL via Noise Manipulationcited by 4
  21. 2026FastLightGen: Fast and Light Video Generation with Fewer Steps and Parameterscited by 4
  22. 2026FASTER: Value-Guided Sampling for Fast RLcited by 4
  23. 2026TapSampling: Inference-Time Sampling with a Task-Progress-Understanding Verifier for Robotic Manipulationcited by 4
  24. 2025A Survey: Spatiotemporal Consistency in Video Generationcited by 3
  25. 2025ScoreAdv: Score-based Targeted Generation of Natural Adversarial Examples via Diffusion Modelscited by 3
  26. 2025Data-Driven Loss Functions for Inference-Time Optimization in Text-to-Imagecited by 3
  27. 2025Noise Projection: Closing the Prompt-Agnostic Gap Behind Text-to-Image Misalignment in Diffusion Modelscited by 3
  28. 2026GoldenStart: Q-Guided Priors and Entropy Control for Distilling Flow Policiescited by 3
  29. 2026Few-Step Diffusion Sampling Through Instance-Aware Discretizationscited by 3
  30. 2026Stream-T1: Test-Time Scaling for Streaming Video Generationcited by 3
  31. 2026Inference-Time Scaling for Joint Audio-Video Generationcited by 3
  32. 2025CoRe^2: Collect, Reflect and Refine to Generate Better and Fastercited by 2
  33. 2025Consistent Story Generation: Unlocking the Potential of Zigzag Samplingcited by 2
  34. 2025FastInit: Fast Noise Initialization for Temporally Consistent Video Generationcited by 2
  35. 2025IS-Diff: Improving Diffusion-Based Inpainting with Better Initial Seedcited by 2
  36. 2025Noise-Level Diffusion Guidance: Well Begun is Half Donecited by 2
  37. 2025UtilGen: Utility-Centric Generative Data Augmentation with Dual-Level Task Adaptationcited by 2
  38. 2025TAUE: Training-free Noise Transplant and Cultivation Diffusion Modelcited by 2

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  2. 2024Improved Noise Schedule for Diffusion Training
  3. 2025Ambient Diffusion Omni: Training Good Models with Bad Data
  4. 2024Consistent Diffusion Meets Tweedie: Training Exact Ambient Diffusion Models with Noisy Data
  5. 2024Blue noise for diffusion models
  6. 2023Diffusion Models With Learned Adaptive Noise
  7. 2024FIND: Fine-tuning Initial Noise Distribution with Policy Optimization for Diffusion Models
  8. 2026Learning Sampling Parameters for Diffusion Models