mlsanityData to 7 Oct 2026

Geometric GAN

arXiv 1705.02894 ↗First posted 8 May 2017stat.ML cond-mat.dis-nn cs.AIcited by 232

Not on the map. Why?

Cited by 26 in Diffusion models, but placed by its own abstract, which didn’t fit.

Abstract (arXiv)

Generative Adversarial Nets (GANs) represent an important milestone for effective generative models, which has inspired numerous variants seemingly different from each other. One of the main contributions of this paper is to reveal a unified geometric structure in GAN and its variants. Specifically, we show that the adversarial generative model training can be decomposed into three geometric steps: separating hyperplane search, discriminator parameter update away from the separating hyperplane, and the generator update along the normal vector direction of the separating hyperplane. This geometric intuition reveals the limitations of the existing approaches and leads us to propose a new formulation called geometric GAN using SVM separating hyperplane that maximizes the margin. Our theoretical analysis shows that the geometric GAN converges to a Nash equilibrium between the discriminator and generator. In addition, extensive numerical results show that the superior performance of geometric GAN.

Key facts. Cited by 232 papers in the map (data through 7 Oct 2026). First posted on arXiv 8 May 2017.

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Citing papers per year: 2021: 69; 2022: 49; 2023: 50; 2024: 22; 2025: 25; 2026: 17.

232 papers.

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  1. 2023Adversarial Diffusion Distillationcited by 741
  2. 2023High-Fidelity Audio Compression with Improved RVQGANcited by 423
  3. 2021Deep Generative Modelling: A Comparative Review of VAEs, GANs, Normalizing Flows, Energy-Based and Autoregressive Modelscited by 251
  4. 2023StyleGAN-T: Unlocking the Power of GANs for Fast Large-Scale Text-to-Image Synthesiscited by 212
  5. 2021Projected GANs Converge Fastercited by 204
  6. 2022SinNeRF: Training Neural Radiance Fields on Complex Scenes from a Single Imagecited by 165
  7. 2021Towards Faster and Stabilized GAN Training for High-fidelity Few-shot Image Synthesiscited by 140
  8. 2022High-Resolution Virtual Try-On with Misalignment and Occlusion-Handled Conditionscited by 129
  9. 2021DriveGAN: Towards a Controllable High-Quality Neural Simulationcited by 125
  10. 2021Regularizing Generative Adversarial Networks under Limited Datacited by 105
  11. 2021GANcraft: Unsupervised 3D Neural Rendering of Minecraft Worldscited by 98
  12. 2025SANA-Sprint: One-Step Diffusion with Continuous-Time Consistency Distillationcited by 85
38 more
  1. 2022EnvEdit: Environment Editing for Vision-and-Language Navigationcited by 83
  2. 2021PD-GAN: Probabilistic Diverse GAN for Image Inpaintingcited by 80
  3. 2023SceneDreamer: Unbounded 3D Scene Generation from 2D Image Collectionscited by 72
  4. 2021Aligning Latent and Image Spaces to Connect the Unconnectablecited by 70
  5. 2024ToonCrafter: Generative Cartoon Interpolationcited by 68
  6. 2021Dual Contrastive Learning for Unsupervised Image-to-Image Translationcited by 65
  7. 2021GANs for Medical Image Synthesis: An Empirical Studycited by 64
  8. 2022Composition-aware Graphic Layout GAN for Visual-textual Presentation Designscited by 59
  9. 2021Reverse Engineering of Generative Models: Inferring Model Hyperparameters from Generated Imagescited by 58
  10. 2021Rebooting ACGAN: Auxiliary Classifier GANs with Stable Trainingcited by 57
  11. 2024Flash Diffusion: Accelerating Any Conditional Diffusion Model for Few Steps Image Generationcited by 56
  12. 2021Stochastic Image-to-Video Synthesis using cINNscited by 49
  13. 2021Training GANs with Stronger Augmentations via Contrastive Discriminatorcited by 45
  14. 2023PERF: Panoramic Neural Radiance Field from a Single Panoramacited by 45
  15. 2024RangeLDM: Fast Realistic LiDAR Point Cloud Generationcited by 45
  16. 2024Video Seal: Open and Efficient Video Watermarkingcited by 45
  17. 2021Finding an Unsupervised Image Segmenter in Each of Your Deep Generative Modelscited by 44
  18. 2024Deep Learning-based Image and Video Inpainting: A Surveycited by 44
  19. 2023High-Fidelity and Freely Controllable Talking Head Video Generationcited by 42
  20. 2022Can Push-forward Generative Models Fit Multimodal Distributions?cited by 41
  21. 2024Video Editing via Factorized Diffusion Distillationcited by 40
  22. 2024SF-V: Single Forward Video Generation Modelcited by 40
  23. 2025Adversarial Distribution Matching for Diffusion Distillation Towards Efficient Image and Video Synthesiscited by 39
  24. 2021Understanding Object Dynamics for Interactive Image-to-Video Synthesiscited by 38
  25. 2022StudioGAN: A Taxonomy and Benchmark of GANs for Image Synthesiscited by 38
  26. 2021DRANet: Disentangling Representation and Adaptation Networks for Unsupervised Cross-Domain Adaptationcited by 37
  27. 2021Handwriting Transformerscited by 37
  28. 2022Quantized GAN for Complex Music Generation from Dance Videoscited by 37
  29. 2022Learning Degradation Representations for Image Deblurringcited by 35
  30. 2022BigColor: Colorization using a Generative Color Prior for Natural Imagescited by 34
  31. 2022Simple and Effective Synthesis of Indoor 3D Scenescited by 33
  32. 2023VOODOO 3D: Volumetric Portrait Disentanglement for One-Shot 3D Head Reenactmentcited by 33
  33. 2021GANs Can Play Lottery Tickets Toocited by 32
  34. 2023Handwritten Text Generation from Visual Archetypescited by 32
  35. 2021Dual Contrastive Loss and Attention for GANscited by 30
  36. 2021VTGAN: Semi-supervised Retinal Image Synthesis and Disease Prediction using Vision Transformerscited by 28
  37. 2022Face Generation and Editing with StyleGAN: A Surveycited by 27
  38. 2022SurfGen: Adversarial 3D Shape Synthesis with Explicit Surface Discriminatorscited by 26

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