mlsanityData to 7 Oct 2026

Hyperbolic Image Segmentation

arXiv 2203.05898 ↗First posted 11 Mar 2022cs.CVcited by 101

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Abstract (arXiv)

For image segmentation, the current standard is to perform pixel-level optimization and inference in Euclidean output embedding spaces through linear hyperplanes. In this work, we show that hyperbolic manifolds provide a valuable alternative for image segmentation and propose a tractable formulation of hierarchical pixel-level classification in hyperbolic space. Hyperbolic Image Segmentation opens up new possibilities and practical benefits for segmentation, such as uncertainty estimation and boundary information for free, zero-label generalization, and increased performance in low-dimensional output embeddings.

Key facts. Cited by 101 papers in the map (data through 7 Oct 2026). Builds on 40 of its 54 references that are in the map. First posted on arXiv 11 Mar 2022.

Builds on

40 of 54 references.

References · 40

  1. 2015U-Net: Convolutional Networks for Biomedical Image Segmentationcited by 19,604
  2. 2014ImageNet Large Scale Visual Recognition Challengecited by 8,441
  3. 2014Fully Convolutional Networks for Semantic Segmentationcited by 4,845
  4. 2015Dropout as a Bayesian Approximation: Representing Model Uncertainty in Deep Learningcited by 4,416
  5. 2016DeepLab: Semantic Image Segmentation with Deep Convolutional Nets, Atrous Convolution, and Fully Connected CRFscited by 3,239
  6. 2018Encoder-Decoder with Atrous Separable Convolution for Semantic Image Segmentationcited by 3,210
  7. 2016Pyramid Scene Parsing Networkcited by 2,472
  8. 2015SegNet: A Deep Convolutional Encoder-Decoder Architecture for Image Segmentationcited by 1,483
  9. 2016COCO-Stuff: Thing and Stuff Classes in Contextcited by 858
  10. 2017Poincar'e Embeddings for Learning Hierarchical Representationscited by 674
  11. 2019Segmentation Transformer: Object-Contextual Representations for Semantic Segmentationcited by 573
  12. 2019Hyperbolic Graph Convolutional Neural Networkscited by 400
28 more
  1. 2018Hyperbolic Neural Networkscited by 393
  2. 2015Learning Deconvolution Network for Semantic Segmentationcited by 365
  3. 2018Context Encoding for Semantic Segmentationcited by 289
  4. 2018Learning Continuous Hierarchies in the Lorentz Model of Hyperbolic Geometrycited by 261
  5. 2019Hyperbolic Graph Neural Networkscited by 244
  6. 2019Hyperbolic Image Embeddingscited by 219
  7. 2018Representation Tradeoffs for Hyperbolic Embeddingscited by 204
  8. 2020Hierarchical Multi-Scale Attention for Semantic Segmentationcited by 183
  9. 2018Hyperbolic Entailment Cones for Learning Hierarchical Embeddingscited by 160
  10. 2018Poincar'e GloVe: Hyperbolic Word Embeddingscited by 155
  11. 2018Evaluating Bayesian Deep Learning Methods for Semantic Segmentationcited by 143
  12. 2021Hyperbolic Deep Neural Networks: A Surveycited by 138
  13. 2019Constant Curvature Graph Convolutional Networkscited by 106
  14. 2017Open Vocabulary Scene Parsingcited by 76
  15. 2021Lorentzian Graph Convolutional Networkscited by 66
  16. 2019Squeeze-and-Attention Networks for Semantic Segmentationcited by 60
  17. 2018Bayesian Layers: A Module for Neural Network Uncertaintycited by 57
  18. 2021A Hyperbolic-to-Hyperbolic Graph Convolutional Networkcited by 53
  19. 2020Differentiating through the Fr'echet Meancited by 52
  20. 2021Learning the Predictability of the Futurecited by 48
  21. 2020Hierarchical Image Classification using Entailment Cone Embeddingscited by 46
  22. 2018Large-Margin Classification in Hyperbolic Spacecited by 41
  23. 2021Hyperbolic Busemann Learning with Ideal Prototypescited by 40
  24. 2021Unsupervised Discovery of the Long-Tail in Instance Segmentation Using Hierarchical Self-Supervisioncited by 39
  25. 2018Dynamic-structured Semantic Propagation Networkcited by 38
  26. 2020HyperText: Endowing FastText with Hyperbolic Geometrycited by 28
  27. 2019Every child should have parents: a taxonomy refinement algorithm based on hyperbolic term embeddingscited by 23
  28. 2019I Bet You Are Wrong: Gambling Adversarial Networks for Structured Semantic Segmentationcited by 6

Built on by

Cited by year (2026 to 7 Oct)

Citing papers per year: 2022: 3; 2023: 22; 2024: 28; 2025: 22; 2026: 26.

101 papers.

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  1. 2023Hyperbolic Image-Text Representationscited by 132
  2. 2023Hyperbolic Deep Learning in Computer Vision: A Surveycited by 72
  3. 2024Compositional Entailment Learning for Hyperbolic Vision-Language Modelscited by 72
  4. 2023E^2VPT: An Effective and Efficient Approach for Visual Prompt Tuningcited by 70
  5. 2022Hyperbolic Contrastive Learning for Visual Representations beyond Objectscited by 58
  6. 2023Fully Hyperbolic Convolutional Neural Networks for Computer Visioncited by 48
  7. 2023HYperbolic Self-Paced Learning for Self-Supervised Skeleton-based Action Representationscited by 42
  8. 2023Learn to Categorize or Categorize to Learn? Self-Coding for Generalized Category Discoverycited by 39
  9. 2024Hypformer: Exploring Efficient Transformer Fully in Hyperbolic Spacecited by 39
  10. 2023Poincar'e ResNetcited by 24
  11. 2023HypLiLoc: Towards Effective LiDAR Pose Regression with Hyperbolic Fusioncited by 24
  12. 2023Hyperbolic Representation Learning: Revisiting and Advancingcited by 21
38 more
  1. 2025Hyperbolic Category Discoverycited by 20
  2. 2023Hyperbolic Audio-visual Zero-shot Learningcited by 19
  3. 2024Emergent Visual-Semantic Hierarchies in Image-Text Representationscited by 19
  4. 2023Hyperbolic Active Learning for Semantic Segmentation under Domain Shiftcited by 18
  5. 2022Hyperbolic Uncertainty Aware Semantic Segmentationcited by 17
  6. 2024HYPE: Hyperbolic Entailment Filtering for Underspecified Images and Textscited by 17
  7. 2025Hyperbolic Safety-Aware Vision-Language Modelscited by 17
  8. 2025HLFormer: Enhancing Partially Relevant Video Retrieval with Hyperbolic Learningcited by 17
  9. 2023Hyperbolic Contrastive Learningcited by 15
  10. 2025Position: Beyond Euclidean -- Foundation Models Should Embrace Non-Euclidean Geometriescited by 15
  11. 2025Hyperbolic Dataset Distillationcited by 15
  12. 2022kHGCN: Tree-likeness Modeling via Continuous and Discrete Curvature Learningcited by 14
  13. 2024HyperVQ: MLR-based Vector Quantization in Hyperbolic Spacecited by 13
  14. 2025HyperCore: The Core Framework for Building Hyperbolic Foundation Models with Comprehensive Modulescited by 12
  15. 2024Improving Visual Recognition with Hyperbolical Visual Hierarchy Mappingcited by 11
  16. 2023Dynamic Hyperbolic Attention Network for Fine Hand-object Reconstructioncited by 10
  17. 2024Understanding Hyperbolic Metric Learning through Hard Negative Samplingcited by 10
  18. 2024Hyperbolic Learning with Multimodal Large Language Modelscited by 10
  19. 2023Hyperbolic Random Forestscited by 9
  20. 2024Flattening the Parent Bias: Hierarchical Semantic Segmentation in the Poincar'e Ballcited by 9
  21. 2024HELM: Hierarchical Encoding for mRNA Language Modelingcited by 9
  22. 2024HyperSDFusion: Bridging Hierarchical Structures in Language and Geometry for Enhanced 3D Text2Shape Generationcited by 8
  23. 2024Taxonomy-Aware Continual Semantic Segmentation in Hyperbolic Spaces for Open-World Perceptioncited by 8
  24. 2024SHMamba: Structured Hyperbolic State Space Model for Audio-Visual Question Answeringcited by 7
  25. 2024A Fashion Item Recommendation Model in Hyperbolic Spacecited by 7
  26. 2025PHyCLIP: ℓ1-Product of Hyperbolic Factors Unifies Hierarchy and Compositionality in Vision-Language Representation Learningcited by 7
  27. 2023HypLL: The Hyperbolic Learning Librarycited by 6
  28. 2023Hyperbolic vs Euclidean Embeddings in Few-Shot Learning: Two Sides of the Same Coincited by 6
  29. 2025Low-distortion and GPU-compatible Tree Embeddings in Hyperbolic Spacecited by 6
  30. 2023Hierarchical Explanations for Video Action Recognitioncited by 5
  31. 2023Compensation Learning in Semantic Segmentationcited by 5
  32. 2023HMSN: Hyperbolic Self-Supervised Learning by Clustering with Ideal Prototypescited by 5
  33. 2025Is Hyperbolic Space All You Need for Medical Anomaly Detection?cited by 5
  34. 2023Hyperbolic Geometry in Computer Vision: A Surveycited by 4
  35. 2024When Cars meet Drones: Hyperbolic Federated Learning for Source-Free Domain Adaptation in Adverse Weathercited by 4
  36. 2024Robust Hyperbolic Learning with Curvature-Aware Optimizationcited by 4
  37. 2025Continual Hyperbolic Learning of Instances and Classescited by 4
  38. 2026Path-Decoupled Hyperbolic Flow Matching for Few-Shot Adaptationcited by 4

50 most cited of 101 All 101 (JSON)