Tackling the Generative Learning Trilemma with Denoising Diffusion GANs
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
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- 2020Improved Techniques for Training Score-Based Generative Models16 Jun
Other references · 65
- 2017Attention Is All You Needcited by 59,932
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- 2015U-Net: Convolutional Networks for Biomedical Image Segmentationcited by 19,604
- 2014Very Deep Convolutional Networks for Large-Scale Image Recognitioncited by 15,267
- 2015Deep Unsupervised Learning using Nonequilibrium Thermodynamicscited by 7,005
- 2018A Style-Based Generator Architecture for Generative Adversarial Networkscited by 5,986
- 2016SGDR: Stochastic Gradient Descent with Warm Restartscited by 4,993
- 2016Image-to-Image Translation with Conditional Adversarial Networkscited by 4,510
- 2019Generative Modeling by Estimating Gradients of the Data Distributioncited by 4,067
- 2013Auto-Encoding Variational Bayescited by 3,980
- 2019Analyzing and Improving the Image Quality of StyleGANcited by 3,580
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- 2017Progressive Growing of GANs for Improved Quality, Stability, and Variationcited by 2,967
- 2016Improved Techniques for Training GANscited by 2,938
- 2018Large Scale GAN Training for High Fidelity Natural Image Synthesiscited by 2,609
- 2017Improved Training of Wasserstein GANscited by 2,223
- 2014Conditional Generative Adversarial Netscited by 2,152
- 2016Density estimation using Real NVPcited by 2,029
- 2017Arbitrary Style Transfer in Real-time with Adaptive Instance Normalizationcited by 1,998
- 2016Photo-Realistic Single Image Super-Resolution Using a Generative Adversarial Networkcited by 1,898
- 2016WaveNet: A Generative Model for Raw Audiocited by 1,710
- 2018Spectral Normalization for Generative Adversarial Networkscited by 1,618
- 2018Glow: Generative Flow with Invertible 1x1 Convolutionscited by 1,539
- 2018Group Normalizationcited by 1,514
- 2019Generating Diverse High-Fidelity Images with VQ-VAE-2cited by 1,376
- 2015LSUN: Construction of a Large-scale Image Dataset using Deep Learning with Humans in the Loopcited by 1,350
- 2020DiffWave: A Versatile Diffusion Model for Audio Synthesiscited by 1,339
- 2019Semantic Image Synthesis with Spatially-Adaptive Normalizationcited by 1,295
- 2020Training Generative Adversarial Networks with Limited Datacited by 1,184
- 2019Improved Precision and Recall Metric for Assessing Generative Modelscited by 925
- 2016Pixel Recurrent Neural Networkscited by 814
- 2021Diffusion Probabilistic Models for 3D Point Cloud Generationcited by 734
- 2018Which Training Methods for GANs do actually Converge?cited by 672
- 2020NVAE: A Deep Hierarchical Variational Autoencodercited by 635
- 2016f-GAN: Training Generative Neural Samplers using Variational Divergence Minimizationcited by 504
- 2019PointFlow: 3D Point Cloud Generation with Continuous Normalizing Flowscited by 487
- 2018Assessing Generative Models via Precision and Recallcited by 401
- 2018MolGAN: An implicit generative model for small molecular graphscited by 392
- 2019Making Convolutional Networks Shift-Invariant Againcited by 390
- 2020Differentiable Augmentation for Data-Efficient GAN Trainingcited by 361
- 2017VEEGAN: Reducing Mode Collapse in GANs using Implicit Variational Learningcited by 199
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- 2021Symbolic Music Generation with Diffusion Modelscited by 152
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- 2021ImageBART: Bidirectional Context with Multinomial Diffusion for Autoregressive Image Synthesiscited by 122
- 2020Image Generators with Conditionally-Independent Pixel Synthesiscited by 105
- 2017PacGAN: The power of two samples in generative adversarial networkscited by 104
- 2020VAEBM: A Symbiosis between Variational Autoencoders and Energy-based Modelscited by 103
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