mlsanityData to 7 Oct 2026

Geometry Score: A Method For Comparing Generative Adversarial Networks

arXiv 1802.02664 ↗First posted 7 Feb 2018cs.LG cs.CG stat.MLcited by 56

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Abstract (arXiv)

One of the biggest challenges in the research of generative adversarial networks (GANs) is assessing the quality of generated samples and detecting various levels of mode collapse. In this work, we construct a novel measure of performance of a GAN by comparing geometrical properties of the underlying data manifold and the generated one, which provides both qualitative and quantitative means for evaluation. Our algorithm can be applied to datasets of an arbitrary nature and is not limited to visual data. We test the obtained metric on various real-life models and datasets and demonstrate that our method provides new insights into properties of GANs.

Key facts. Cited by 56 papers in the map (data through 7 Oct 2026). First posted on arXiv 7 Feb 2018.

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Citing papers per year: 2020: 1; 2021: 7; 2022: 13; 2023: 10; 2024: 13; 2025: 9; 2026: 3.

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  2. 2021Pros and Cons of GAN Evaluation Measures: New Developmentscited by 121
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  7. 2022PyTorch Image Quality: Metrics for Image Quality Assessmentcited by 34
  8. 2023Handwritten Text Generation from Visual Archetypescited by 32
  9. 2021Manifold Topology Divergence: a Framework for Comparing Data Manifoldscited by 31
  10. 2024Towards Universality: Studying Mechanistic Similarity Across Language Model Architecturescited by 31
  11. 2022SLOGAN: Handwriting Style Synthesis for Arbitrary-Length and Out-of-Vocabulary Textcited by 26
  12. 2020Diffusion models for Handwriting Generationcited by 25
38 more
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  4. 2024TopoDiffusionNet: A Topology-aware Diffusion Modelcited by 10
  5. 2025Beyond Isolated Words: Diffusion Brush for Handwritten Text-Line Generationcited by 10
  6. 2021GeomCA: Geometric Evaluation of Data Representationscited by 9
  7. 2022Predicting the generalization gap in neural networks using topological data analysiscited by 9
  8. 2024Neural Lineagecited by 9
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  10. 2024TexTile: A Differentiable Metric for Texture Tileabilitycited by 7
  11. 2022Delaunay Component Analysis for Evaluation of Data Representationscited by 6
  12. 2024Rethinking HTG Evaluation: Bridging Generation and Recognitioncited by 6
  13. 2022Log-Euclidean Signatures for Intrinsic Distances Between Unaligned Datasetscited by 5
  14. 2022A Realism Metric for Generated LiDAR Point Cloudscited by 5
  15. 2022FONDUE: an algorithm to find the optimal dimensionality of the latent representations of variational autoencoderscited by 5
  16. 2025Approximating Latent Manifolds in Neural Networks via Vanishing Idealscited by 5
  17. 2021Double Descent and Other Interpolation Phenomena in GANscited by 4
  18. 2022Graph-Regularized Manifold-Aware Conditional Wasserstein GAN for Brain Functional Connectivity Generationcited by 4
  19. 2023Understanding Deep Generative Models with Generalized Empirical Likelihoodscited by 3
  20. 2023Wasserstein Auto-Encoders of Merge Trees (and Persistence Diagrams)cited by 3
  21. 2024SimSMoE: Solving Representational Collapse via Similarity Measurecited by 3
  22. 2022Image Quality Assessment for Magnetic Resonance Imagingcited by 2
  23. 2022Zeroth-Order Topological Insights into Iterative Magnitude Pruningcited by 2
  24. 2022Evaluating Disentanglement in Generative Models Without Knowledge of Latent Factorscited by 2
  25. 2023Improving Path Planning Performance through Multimodal Generative Models with Local Criticscited by 2
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  27. 2025GenoArmory: A Unified Evaluation Framework for Adversarial Attacks on Genomic Foundation Modelscited by 2
  28. 2021Improving the quality of generative models through Smirnov transformationcited by 1
  29. 2022A Survey on Leveraging Pre-trained Generative Adversarial Networks for Image Editing and Restorationcited by 1
  30. 2023Generating artificial digital image correlation data using physics-guided adversarial networkscited by 1
  31. 2023Topological Parallax: A Geometric Specification for Deep Perception Modelscited by 1
  32. 2023Addressing caveats of neural persistence with deep graph persistencecited by 1
  33. 2025Towards Scalable Topological Regularizerscited by 1
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  35. 2025SkyReels-Text: Fine-Grained Font-Controllable Text Editing for Poster Designcited by 1
  36. 2022GraphDCA -- a Framework for Node Distribution Comparison in Real and Synthetic Graphscited by 0
  37. 2024A Class of Topological Pseudodistances for Fast Comparison of Persistence Diagramscited by 0
  38. 2024Normalized Space Alignment: A Versatile Metric for Representation Analysiscited by 0

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