mlsanityData to 14 Oct 2026

Hyperbolic Geometry in Computer Vision: A Survey

arXiv 2304.10764 ↗First posted 21 Apr 2023cs.CVcited by 4

Not on the map. Why?

Abstract (arXiv)

Hyperbolic geometry, a Riemannian manifold endowed with constant sectional negative curvature, has been considered an alternative embedding space in many learning scenarios, eg, natural language processing, graph learning, etc, as a result of its intriguing property of encoding the data's hierarchical structure (like irregular graph or tree-likeness data). Recent studies prove that such data hierarchy also exists in the visual dataset, and investigate the successful practice of hyperbolic geometry in the computer vision (CV) regime, ranging from the classical image classification to advanced model adaptation learning. This paper presents the first and most up-to-date literature review of hyperbolic spaces for CV applications. To this end, we first introduce the background of hyperbolic geometry, followed by a comprehensive investigation of algorithms, with geometric prior of hyperbolic space, in the context of visual applications. We also conclude this manuscript and identify possible future directions.

Key facts. Cited by 4 papers in the map (data through 14 Oct 2026). Builds on 34 of its 67 references that are in the map. First posted on arXiv 21 Apr 2023.

Builds on

34 of 67 references.

References · 34

  1. 2018BERT: Pre-training of Deep Bidirectional Transformers for Language Understandingcited by 40,399
  2. 2020An Image is Worth 16x16 Words: Transformers for Image Recognition at Scalecited by 30,186
  3. 2020Denoising Diffusion Probabilistic Modelscited by 21,076
  4. 2015Distilling the Knowledge in a Neural Networkcited by 10,324
  5. 2021Masked Autoencoders Are Scalable Vision Learnerscited by 7,403
  6. 2017Neural Discrete Representation Learningcited by 4,712
  7. 2017Prototypical Networks for Few-shot Learningcited by 3,015
  8. 2015FaceNet: A Unified Embedding for Face Recognition and Clusteringcited by 2,849
  9. 2016Learning without Forgettingcited by 2,496
  10. 2018Hyperbolic Neural Networkscited by 402
  11. 2019Hyperbolic Graph Convolutional Neural Networkscited by 402
  12. 2018Slimmable Neural Networkscited by 305
22 more
  1. 2019Hyperbolic Image Embeddingscited by 221
  2. 2018Hyperspherical Variational Auto-Encoderscited by 189
  3. 2015Label-Embedding for Image Classificationcited by 165
  4. 2021Hyperbolic Deep Neural Networks: A Surveycited by 139
  5. 2019Continuous Hierarchical Representations with Poincar'e Variational Auto-Encoderscited by 112
  6. 2022Hyperbolic Vision Transformers: Combining Improvements in Metric Learningcited by 111
  7. 2022Hyperbolic Image Segmentationcited by 102
  8. 2019Mixed-curvature Variational Autoencoderscited by 86
  9. 2020From Trees to Continuous Embeddings and Back: Hyperbolic Hierarchical Clusteringcited by 65
  10. 2015A cost function for similarity-based hierarchical clusteringcited by 63
  11. 2017Hierarchical Clustering: Objective Functions and Algorithmscited by 60
  12. 2021Clipped Hyperbolic Classifiers Are Super-Hyperbolic Classifierscited by 57
  13. 2021Learning the Predictability of the Futurecited by 49
  14. 2018HyperML: A Boosting Metric Learning Approach in Hyperbolic Space for Recommender Systemscited by 47
  15. 2021Hyperbolic Busemann Learning with Ideal Prototypescited by 41
  16. 2021Unsupervised Discovery of the Long-Tail in Instance Segmentation Using Hierarchical Self-Supervisioncited by 39
  17. 2020Capturing implicit hierarchical structure in 3D biomedical images with self-supervised hyperbolic representationscited by 24
  18. 2022Skin Lesion Recognition with Class-Hierarchy Regularized Hyperbolic Embeddingscited by 19
  19. 2018Wasserstein Variational Inferencecited by 17
  20. 2021Adaptive Poincar'e Point to Set Distance for Few-Shot Classificationcited by 15
  21. 2020Mix Dimension in Poincar'e Geometry for 3D Skeleton-based Action Recognitioncited by 14
  22. 2022FisheyeHDK: Hyperbolic Deformable Kernel Learning for Ultra-Wide Field-of-View Image Recognitioncited by 10

Built on by

Cited by year (2026 to 14 Oct)

Citing papers per year: 2023: 1; 2024: 2; 2025: 0; 2026: 1.

4 papers.

  1. 2023Hyperbolic Audio-visual Zero-shot Learningcited by 19
  2. 2024SHMamba: Structured Hyperbolic State Space Model for Audio-Visual Question Answeringcited by 7
  3. 2024A Fashion Item Recommendation Model in Hyperbolic Spacecited by 7
  4. 2026Hyperbolic Distillation: Geometry-Guided Cross-Modal Transfer for Robust 3D Object Detectioncited by 0