mlsanityData to 7 Oct 2026

Tackling the Generative Learning Trilemma with Denoising Diffusion GANs

arXiv 2112.07804 ↗First posted 15 Dec 2021cs.LG stat.MLcited by 515

On the map: Diffusion models → Diffusion foundations and sampling

Abstract (arXiv)

A wide variety of deep generative models has been developed in the past decade. Yet, these models often struggle with simultaneously addressing three key requirements including: high sample quality, mode coverage, and fast sampling. We call the challenge imposed by these requirements the generative learning trilemma, as the existing models often trade some of them for others. Particularly, denoising diffusion models have shown impressive sample quality and diversity, but their expensive sampling does not yet allow them to be applied in many real-world applications. In this paper, we argue that slow sampling in these models is fundamentally attributed to the Gaussian assumption in the denoising step which is justified only for small step sizes. To enable denoising with large steps, and hence, to reduce the total number of denoising steps, we propose to model the denoising distribution using a complex multimodal distribution. We introduce denoising diffusion generative adversarial networks (denoising diffusion GANs) that model each denoising step using a multimodal conditional GAN. Through extensive evaluations, we show that denoising diffusion GANs obtain sample quality and diversity competitive with original diffusion models while being 2000× faster on the CIFAR-10 dataset. Compared to traditional GANs, our model exhibits better mode coverage and sample diversity. To the best of our knowledge, denoising diffusion GAN is the first model that reduces sampling cost in diffusion models to an extent that allows them to be applied to real-world applications inexpensively. Project page and code can be found at https://nvlabs.github.io/denoising-diffusion-gan

Key facts. Cited by 515 papers in the map (data through 7 Oct 2026). Placed in Diffusion foundations and sampling, one of 14 directions in Diffusion models. Builds on 82 of its 96 references that are in the map. First posted on arXiv 15 Dec 2021.

Builds on

82 of 96 references.

Closest ancestors · 17

Same direction, newest first

  1. 2021Structured Denoising Diffusion Models in Discrete State-Spaces7 Jul
  2. 2021Variational Diffusion Models1 Jul
  3. 2021Non Gaussian Denoising Diffusion Models14 Jun
  4. 2021Score-based Generative Modeling in Latent Space10 Jun
  5. 2021A Variational Perspective on Diffusion-Based Generative Models and Score Matching5 Jun
  6. 2021On Fast Sampling of Diffusion Probabilistic Models31 May
  7. 2021Cascaded Diffusion Models for High Fidelity Image Generation30 May
  8. 2021Gotta Go Fast When Generating Data with Score-Based Models28 May
  9. 2021Diffusion Models Beat GANs on Image Synthesis11 May
  10. 2021Noise Estimation for Generative Diffusion Models6 Apr
  11. 2021Improved Denoising Diffusion Probabilistic Models18 Feb
  12. 2021Maximum Likelihood Training of Score-Based Diffusion Models22 Jan
5 more
  1. 2021Knowledge Distillation in Iterative Generative Models for Improved Sampling Speed7 Jan
  2. 2020Score-Based Generative Modeling through Stochastic Differential Equations26 Nov
  3. 2020Denoising Diffusion Implicit Models6 Oct
  4. 2020Denoising Diffusion Probabilistic Models19 Jun
  5. 2020Improved Techniques for Training Score-Based Generative Models16 Jun

Other references · 65

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  1. 2020Taming Transformers for High-Resolution Image Synthesiscited by 3,229
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  32. 2021Symbolic Music Generation with Diffusion Modelscited by 152
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  34. 2020Learning Energy-Based Models by Diffusion Recovery Likelihoodcited by 122
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50 most cited of 65 All 65 (JSON)

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Citing papers per year: 2022: 74; 2023: 152; 2024: 147; 2025: 95; 2026: 47.

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  10. 2023Stochastic Interpolants: A Unifying Framework for Flows and Diffusionscited by 897
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  11. 2024SDXL-Lightning: Progressive Adversarial Diffusion Distillationcited by 258
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  18. 2024Score identity Distillation: Exponentially Fast Distillation of Pretrained Diffusion Models for One-Step Generationcited by 211
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  20. 2022Unsupervised Medical Image Translation with Adversarial Diffusion Modelscited by 191
  21. 2022Fast Sampling of Diffusion Models via Operator Learningcited by 173
  22. 2023HIVE: Harnessing Human Feedback for Instructional Visual Editingcited by 172
  23. 2023UFOGen: You Forward Once Large Scale Text-to-Image Generation via Diffusion GANscited by 165
  24. 2023DiffuScene: Denoising Diffusion Models for Generative Indoor Scene Synthesiscited by 159
  25. 2023Flow Matching in Latent Spacecited by 155
  26. 2023DDFM: Denoising Diffusion Model for Multi-Modality Image Fusioncited by 153
  27. 2022ProDiff: Progressive Fast Diffusion Model For High-Quality Text-to-Speechcited by 147
  28. 2022FastDiff: A Fast Conditional Diffusion Model for High-Quality Speech Synthesiscited by 136
  29. 2023Are Diffusion Models Vulnerable to Membership Inference Attacks?cited by 135
  30. 2022GENIE: Higher-Order Denoising Diffusion Solverscited by 127
  31. 2022gDDIM: Generalized denoising diffusion implicit modelscited by 125
  32. 2022Differentially Private Diffusion Modelscited by 118
  33. 2022Adaptive Diffusion Priors for Accelerated MRI Reconstructioncited by 117
  34. 2022Wavelet Diffusion Models are fast and scalable Image Generatorscited by 116
  35. 2023Diffusion Model is an Effective Planner and Data Synthesizer for Multi-Task Reinforcement Learningcited by 114
  36. 2022Towards the Detection of Diffusion Model Deepfakescited by 111
  37. 2025Inductive Moment Matchingcited by 107
  38. 2022DiffuseVAE: Efficient, Controllable and High-Fidelity Generation from Low-Dimensional Latentscited by 103

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