mlsanityData to 14 Oct 2026

Hyperbolic Deep Learning in Computer Vision: A Survey

arXiv 2305.06611 ↗First posted 11 May 2023cs.CVcited by 73

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Abstract (arXiv)

Deep representation learning is a ubiquitous part of modern computer vision. While Euclidean space has been the de facto standard manifold for learning visual representations, hyperbolic space has recently gained rapid traction for learning in computer vision. Specifically, hyperbolic learning has shown a strong potential to embed hierarchical structures, learn from limited samples, quantify uncertainty, add robustness, limit error severity, and more. In this paper, we provide a categorization and in-depth overview of current literature on hyperbolic learning for computer vision. We research both supervised and unsupervised literature and identify three main research themes in each direction. We outline how hyperbolic learning is performed in all themes and discuss the main research problems that benefit from current advances in hyperbolic learning for computer vision. Moreover, we provide a high-level intuition behind hyperbolic geometry and outline open research questions to further advance research in this direction.

Key facts. Cited by 73 papers in the map (data through 14 Oct 2026). Builds on 104 of its 177 references that are in the map. First posted on arXiv 11 May 2023.

Builds on

104 of 177 references.

References · 104

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38 more
  1. 2017Improved Training of Wasserstein GANscited by 2,235
  2. 2014Conditional Generative Adversarial Netscited by 2,162
  3. 2016Density estimation using Real NVPcited by 2,042
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  10. 2020Sparse R-CNN: End-to-End Object Detection with Learnable Proposalscited by 495
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  14. 2022Masked Siamese Networks for Label-Efficient Learningcited by 302
  15. 2018Learning Continuous Hierarchies in the Lorentz Model of Hyperbolic Geometrycited by 265
  16. 2019Hyperbolic Graph Neural Networkscited by 244
  17. 2019Hyperbolic Image Embeddingscited by 221
  18. 2018Representation Tradeoffs for Hyperbolic Embeddingscited by 206
  19. 2020Low-Dimensional Hyperbolic Knowledge Graph Embeddingscited by 195
  20. 2018Hyperbolic Entailment Cones for Learning Hierarchical Embeddingscited by 162
  21. 2018Poincar'e GloVe: Hyperbolic Word Embeddingscited by 156
  22. 2020Adversarial Self-Supervised Contrastive Learningcited by 139
  23. 2021Hyperbolic Deep Neural Networks: A Surveycited by 139
  24. 2023Hyperbolic Image-Text Representationscited by 136
  25. 2019Multi-relational Poincar'e Graph Embeddingscited by 126
  26. 2018Hyperbolic Attention Networkscited by 122
  27. 2020Learning Open Set Network with Discriminative Reciprocal Pointscited by 115
  28. 2020Geoopt: Riemannian Optimization in PyTorchcited by 114
  29. 2019Continuous Hierarchical Representations with Poincar'e Variational Auto-Encoderscited by 112
  30. 2022Hyperbolic Vision Transformers: Combining Improvements in Metric Learningcited by 111
  31. 2019Constant Curvature Graph Convolutional Networkscited by 108
  32. 2021Fully Hyperbolic Neural Networkscited by 108
  33. 2022Hyperbolic Image Segmentationcited by 102
  34. 2019Hyperspherical Prototype Networkscited by 86
  35. 2018Embedding Text in Hyperbolic Spacescited by 76
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  38. 2020From Trees to Continuous Embeddings and Back: Hyperbolic Hierarchical Clusteringcited by 65

50 most cited of 104 All 104 (JSON)

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Cited by year (2026 to 14 Oct)

Citing papers per year: 2023: 8; 2024: 13; 2025: 29; 2026: 23.

73 papers.

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  1. 2024Compositional Entailment Learning for Hyperbolic Vision-Language Modelscited by 74
  2. 2023Learn to Categorize or Categorize to Learn? Self-Coding for Generalized Category Discoverycited by 39
  3. 2024Hyperbolic Fine-Tuning for Large Language Modelscited by 27
  4. 2023Hyperbolic Representation Learning: Revisiting and Advancingcited by 21
  5. 2024Emergent Visual-Semantic Hierarchies in Image-Text Representationscited by 19
  6. 2025Position: Beyond Euclidean -- Foundation Models Should Embrace Non-Euclidean Geometriescited by 18
  7. 2024Lorentzian Residual Neural Networkscited by 17
  8. 2025Hyperbolic Safety-Aware Vision-Language Modelscited by 17
  9. 2025HyperCore: The Core Framework for Building Hyperbolic Foundation Models with Comprehensive Modulescited by 12
  10. 2024Hyperbolic Learning with Multimodal Large Language Modelscited by 10
  11. 2023Hyperbolic Random Forestscited by 9
  12. 2024Flattening the Parent Bias: Hierarchical Semantic Segmentation in the Poincar'e Ballcited by 9
38 more
  1. 2024HyperSDFusion: Bridging Hierarchical Structures in Language and Geometry for Enhanced 3D Text2Shape Generationcited by 8
  2. 2025Learning Fine-grained Domain Generalization via Hyperbolic State Space Hallucinationcited by 7
  3. 2023HypLL: The Hyperbolic Learning Librarycited by 6
  4. 2025Low-distortion and GPU-compatible Tree Embeddings in Hyperbolic Spacecited by 6
  5. 2025Continual Hyperbolic Learning of Instances and Classescited by 5
  6. 2025OpenHype: Hyperbolic Embeddings for Hierarchical Open-Vocabulary Radiance Fieldscited by 5
  7. 2024When Cars meet Drones: Hyperbolic Federated Learning for Source-Free Domain Adaptation in Adverse Weathercited by 4
  8. 2024Robust Hyperbolic Learning with Curvature-Aware Optimizationcited by 4
  9. 2025Curvature Learning for Generalization of Hyperbolic Neural Networkscited by 4
  10. 2024Hyperbolic Metric Learning for Visual Outlier Detectioncited by 3
  11. 2024Adversarial Attacks on Hyperbolic Networkscited by 3
  12. 2025A group-theoretic framework for machine learning in hyperbolic spacescited by 3
  13. 2025Understanding and Improving Hyperbolic Deep Reinforcement Learningcited by 3
  14. 2026Fast and Geometrically Grounded Lorentz Neural Networkscited by 3
  15. 2023Unsupervised Feature Learning with Emergent Data-Driven Prototypicalitycited by 2
  16. 2025Hyperbolic Dual Feature Augmentation for Open-Environmentcited by 2
  17. 2025Learning Protein-Ligand Binding in Hyperbolic Spacecited by 2
  18. 2025Angular Gradient Sign Method: Uncovering Vulnerabilities in Hyperbolic Networkscited by 2
  19. 2026HEEGNet: Hyperbolic Embeddings for EEGcited by 2
  20. 2026EEG-Based Multimodal Learning via Hyperbolic Mixture-of-Curvature Expertscited by 2
  21. 2023Leveraging Optimal Transport via Projections on Subspaces for Machine Learning Applicationscited by 1
  22. 2024Hyp2Nav: Hyperbolic Planning and Curiosity for Crowd Navigationcited by 1
  23. 2025Machine Unlearning in Hyperbolic vs. Euclidean Multimodal Contrastive Learning: Adapting Alignment Calibration to MERUcited by 1
  24. 2025EHGCN: Hierarchical Euclidean-Hyperbolic Fusion via Motion-Aware GCN for Hybrid Event Stream Perceptioncited by 1
  25. 2025Towards Non-Euclidean Foundation Models: Advancing AI Beyond Euclidean Frameworkscited by 1
  26. 2025Balanced Hyperbolic Embeddings Are Natural Out-of-Distribution Detectorscited by 1
  27. 2025Hyperbolic Cycle Alignment for Infrared-Visible Image Fusioncited by 1
  28. 2025HyPCV-Former: Hyperbolic Spatio-Temporal Transformer for 3D Point Cloud Video Anomaly Detectioncited by 1
  29. 2025Minimizing Hyperbolic Embedding Distortion with LLM-Guided Hierarchy Restructuringcited by 1
  30. 2026HexFormer: Hyperbolic Vision Transformer with Exponential Map Aggregationcited by 1
  31. 2026HypCBC: Domain-Invariant Hyperbolic Cross-Branch Consistency for Generalizable Medical Image Analysiscited by 1
  32. 2026LoHGNet: Infrared Small Target Detection through Lorentz Geometric Encoding with High-Order Relation Learningcited by 1
  33. 2026hyperbolix: Hyperbolic Deep Learning in JAXcited by 1
  34. 2023HLoOP -- Hyperbolic 2-space Local Outlier Probabilitiescited by 0
  35. 2023Learning with Geometry: Including Riemannian Geometric Features in Coefficient of Pressure Prediction on Aircraft Wingscited by 0
  36. 2024An Augmentation-based Model Re-adaptation Framework for Robust Image Segmentationcited by 0
  37. 2025Hierarchical Multi-Positive Contrastive Learning for Patent Image Retrievalcited by 0
  38. 2025Hyperbolic Multimodal Representation Learning for Biological Taxonomiescited by 0

50 most cited of 73 All 73 (JSON)