Hyperbolic Image Embeddings
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Abstract (arXiv)
Computer vision tasks such as image classification, image retrieval and few-shot learning are currently dominated by Euclidean and spherical embeddings, so that the final decisions about class belongings or the degree of similarity are made using linear hyperplanes, Euclidean distances, or spherical geodesic distances (cosine similarity). In this work, we demonstrate that in many practical scenarios hyperbolic embeddings provide a better alternative.
Key facts. Cited by 219 papers in the map (data through 7 Oct 2026). First posted on arXiv 3 Apr 2019.
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Citing papers per year: 2021: 26; 2022: 33; 2023: 38; 2024: 33; 2025: 48; 2026: 41.
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- 2021Hyperbolic Deep Neural Networks: A Surveycited by 138
- 2023Hyperbolic Image-Text Representationscited by 132
- 2022Hyperbolic Vision Transformers: Combining Improvements in Metric Learningcited by 109
- 2022Hyperbolic Image Segmentationcited by 101
- 2023Hyperbolic Deep Learning in Computer Vision: A Surveycited by 72
- 2024Compositional Entailment Learning for Hyperbolic Vision-Language Modelscited by 72
- 2023E^2VPT: An Effective and Efficient Approach for Visual Prompt Tuningcited by 70
- 2022Hyperbolic Contrastive Learning for Visual Representations beyond Objectscited by 58
- 2021Clipped Hyperbolic Classifiers Are Super-Hyperbolic Classifierscited by 56
- 2021A Hyperbolic-to-Hyperbolic Graph Convolutional Networkcited by 53
- 2021Learning the Predictability of the Futurecited by 48
- 2023Fully Hyperbolic Convolutional Neural Networks for Computer Visioncited by 48
38 more
- 2022The Numerical Stability of Hyperbolic Representation Learningcited by 46
- 2021von Mises-Fisher Loss: An Exploration of Embedding Geometries for Supervised Learningcited by 42
- 2023HYperbolic Self-Paced Learning for Self-Supervised Skeleton-based Action Representationscited by 42
- 2021Hyperbolic Busemann Learning with Ideal Prototypescited by 40
- 2021Unsupervised Discovery of the Long-Tail in Instance Segmentation Using Hierarchical Self-Supervisioncited by 39
- 2024Hypformer: Exploring Efficient Transformer Fully in Hyperbolic Spacecited by 39
- 2024LLMs are Good Action Recognizerscited by 36
- 2022HRCF: Enhancing Collaborative Filtering via Hyperbolic Geometric Regularizationcited by 34
- 2021Towards Interpretable Deep Metric Learning with Structural Matchingcited by 30
- 2021CO-SNE: Dimensionality Reduction and Visualization for Hyperbolic Datacited by 28
- 2021Ranking Distance Calibration for Cross-Domain Few-Shot Learningcited by 27
- 2022HIER: Metric Learning Beyond Class Labels via Hierarchical Regularizationcited by 26
- 2022Hyperbolic Deep Reinforcement Learningcited by 25
- 2023Poincar'e ResNetcited by 24
- 2024Hyperbolic Fine-Tuning for Large Language Modelscited by 24
- 2022The Euclidean Space is Evil: Hyperbolic Attribute Editing for Few-shot Image Generationcited by 22
- 2023Beyond Statistical Similarity: Rethinking Metrics for Deep Generative Models in Engineering Designcited by 22
- 2022Task Discrepancy Maximization for Fine-grained Few-Shot Classificationcited by 21
- 2023Hyperbolic Representation Learning: Revisiting and Advancingcited by 21
- 2025Hyperbolic Category Discoverycited by 20
- 2022Skin Lesion Recognition with Class-Hierarchy Regularized Hyperbolic Embeddingscited by 19
- 2023From Isolated Islands to Pangea: Unifying Semantic Space for Human Action Understandingcited by 19
- 2023Hyperbolic Audio-visual Zero-shot Learningcited by 19
- 2021Reinforced Attention for Few-Shot Learning and Beyondcited by 18
- 2022Rethinking the compositionality of point clouds through regularization in the hyperbolic spacecited by 18
- 2023Hyperbolic Diffusion Embedding and Distance for Hierarchical Representation Learningcited by 18
- 2023Neural Latent Geometry Search: Product Manifold Inference via Gromov-Hausdorff-Informed Bayesian Optimizationcited by 18
- 2022Hyperbolic Uncertainty Aware Semantic Segmentationcited by 17
- 2024HYPE: Hyperbolic Entailment Filtering for Underspecified Images and Textscited by 17
- 2024Lorentzian Residual Neural Networkscited by 17
- 2025Hyperbolic Safety-Aware Vision-Language Modelscited by 17
- 2025HLFormer: Enhancing Partially Relevant Video Retrieval with Hyperbolic Learningcited by 17
- 2022Hyperbolic Sliced-Wasserstein via Geodesic and Horospherical Projectionscited by 16
- 2024Learning Structured Representations with Hyperbolic Embeddingscited by 16
- 2021Unsupervised Hyperbolic Representation Learning via Message Passing Auto-Encoderscited by 15
- 2021Rich Semantics Improve Few-shot Learningcited by 15
- 2021Adaptive Poincar'e Point to Set Distance for Few-Shot Classificationcited by 15
- 2022Curved Geometric Networks for Visual Anomaly Recognitioncited by 15
50 most cited of 219 All 219 (JSON)
- 2026Curvature Under Attack in hZACH-ViT: Gauge Symmetry, Boundary Saturation, and Adversarial Failure30 Sep 2026
- 2026CurvSpec: Adaptive Multi-Curvature Learning for Partial Relevant Video Retrieval29 Sep 2026
- 2026Explaining Hyperbolic Neural Networks via Geometry-Aware Relevance Propagation28 Sep 2026
- 2026Hyperbolic Multimodal Continual Learning: A Closest-Admissible Solution24 Sep 2026
- 2026hyperbolix: Hyperbolic Deep Learning in JAX23 Sep 2026
- 2026What Drives Hierarchy-Aware Image Retrieval? Taxonomy Alignment, Objective Choice, and Geometry22 Sep 2026
- 2026Hyperbolic Geometry for Open-World Object Detection in Remote Sensing Imagery9 Sep 2026
- 2026Hyperbolic Latent Geometry for Tree-Structured Prototype Networks: A Local-vs-Global Trade-off25 Aug 2026
- 2026Hyperbolic Hierarchical Clustering for Visual Representation Learning24 Aug 2026
- 2026Hyper^2: Unleashing Hyperbolic Geometry's Full Potential via Dual-Space Consistency23 Aug 2026
- 2026FlatLand: Personalized Graph Federated Learning via Tailored Lorentz Space21 Aug 2026
- 2026ProWorld: Progress-Aware Hyperbolic World Models for Long-Horizon Visual Goal Reaching3 Aug 2026
38 more
- 2026PointCHR: Point Cloud Analysis via Curvature-Aware Hyperbolic Rectification27 Jul 2026
- 2026Text-Driven Fusion for Infrared and Visible Images: Achieving Image Scene Adaptation on Hyperbolic Space13 Jun 2026
- 2026HyperVis: Continuous Latent Visual Relational Graphs on the Lorentz Hyperboloid for Compositional Reasoning4 Jun 2026
- 2026Hyper-ICL: Attention Calibration with Hyperbolic Anchor Distillation for Multimodal In-Context Learning3 Jun 2026
- 2026Attend to Anything: Foundation Model for Unified Human Attention Modeling2 Jun 2026
- 2026hZACH-ViT: Curved Latent Geometry for Compact Vision Transformers in Low-Data Medical Imaging30 May 2026
- 2026Similarity-based representation factorization for revealing interpretable dimensions in representational data26 May 2026
- 2026HyperGuide: Hyperbolic Guidance for Efficient Multi-Step Reasoning in Large Language Models22 May 2026
- 2026H2G: Hierarchy-Aware Hyperbolic Grouping for 3D Scenes12 May 2026
- 2026Semantic Alignment in Hyperbolic Space for Open-Vocabulary Semantic Segmentation9 May 2026
- 2026Curvature-Aware Captioning:Leveraging Geodesic Attention for 3D Scene Understanding9 May 2026
- 2026MC-RFM: Geometry-Aware Few-Shot Adaptation via Mixed-Curvature Riemannian Flow Matching8 May 2026
- 2026Hyperbolic Concept Bottleneck Models7 May 2026
- 2026Hierarchically Robust Zero-shot Vision-language Models20 Apr 2026
- 2026Lorentz Framework for Semantic Segmentation18 Apr 2026
- 2026EEG-Based Multimodal Learning via Hyperbolic Mixture-of-Curvature Experts14 Apr 2026
- 2026Are We Recognizing the Jaguar or Its Background? A Diagnostic Framework for Jaguar Re-Identification6 Apr 2026
- 2026HyFI: Hyperbolic Feature Interpolation for Brain-Vision Alignment24 Mar 2026
- 2026Uncertainty-guided Compositional Alignment with Part-to-Whole Semantic Representativeness in Hyperbolic Vision-Language Models23 Mar 2026
- 2026LAtte: Hyperbolic Lorentz Attention for Cross-Subject EEG Classification11 Mar 2026
- 2026Intrinsic Lorentz Neural Network27 Feb 2026
- 2026Path-Decoupled Hyperbolic Flow Matching for Few-Shot Adaptation24 Feb 2026
- 2026Hyperbolic Busemann Neural Networks21 Feb 2026
- 2026HypRAG: Hyperbolic Dense Retrieval for Retrieval Augmented Generation8 Feb 2026
- 2026Reducing Memorisation in Generative Models via Riemannian Bayesian Inference30 Jan 2026
- 2026HierLoc: Hyperbolic Entity Embeddings for Hierarchical Visual Geolocation30 Jan 2026
- 2026Fast and Geometrically Grounded Lorentz Neural Networks29 Jan 2026
- 2026Hyperbolic Additive Margin Softmax with Hierarchical Information for Speaker Verification27 Jan 2026
- 2026HEEGNet: Hyperbolic Embeddings for EEG6 Jan 2026
- 2025H2em: Learning Hierarchical Hyperbolic Embeddings for Compositional Zero-Shot Learning23 Dec 2025
- 2025HyperST: Hierarchical Hyperbolic Learning for Spatial Transcriptomics Prediction27 Nov 2025
- 2025Angular Gradient Sign Method: Uncovering Vulnerabilities in Hyperbolic Networks17 Nov 2025
- 2025LIHE: Linguistic Instance-Split Hyperbolic-Euclidean Framework for Generalized Weakly-Supervised Referring Expression Comprehension15 Nov 2025
- 2025Climbing the label tree: Hierarchy-preserving contrastive learning for medical imaging5 Nov 2025
- 2025More Than A Shortcut: A Hyperbolic Approach To Early-Exit Networks1 Nov 2025
- 2025HyperET: Efficient Training in Hyperbolic Space for Multi-modal Large Language Models23 Oct 2025
- 2025HIDISC: A Hyperbolic Framework for Domain Generalization with Generalized Category Discovery20 Oct 2025
- 2025PHyCLIP: ℓ1-Product of Hyperbolic Factors Unifies Hierarchy and Compositionality in Vision-Language Representation Learning10 Oct 2025
50 newest of 219 All 219 (JSON)
- 2024Compositional Entailment Learning for Hyperbolic Vision-Language Modelscited by 72
- 2025Hyperbolic Safety-Aware Vision-Language Modelscited by 17
- 2025PHyCLIP: ℓ1-Product of Hyperbolic Factors Unifies Hierarchy and Compositionality in Vision-Language Representation Learningcited by 7
- 2025Galaxy Walker: Geometry-aware VLMs For Galaxy-scale Understandingcited by 4
- 2025HyperET: Efficient Training in Hyperbolic Space for Multi-modal Large Language Modelscited by 4
- 2026Uncertainty-guided Compositional Alignment with Part-to-Whole Semantic Representativeness in Hyperbolic Vision-Language Modelscited by 2
- 2026Hierarchically Robust Zero-shot Vision-language Modelscited by 1
- 2026Semantic Alignment in Hyperbolic Space for Open-Vocabulary Semantic Segmentationcited by 1
- 2025Talk in Pieces, See in Whole: Disentangled and Hierarchical Representation Learning in Language-based Object Detectioncited by 0
- 2026Hyper-ICL: Attention Calibration with Hyperbolic Anchor Distillation for Multimodal In-Context Learningcited by 0
- 2026Hyper-ICL: Attention Calibration with Hyperbolic Anchor Distillation for Multimodal In-Context Learning3 Jun 2026
- 2026Semantic Alignment in Hyperbolic Space for Open-Vocabulary Semantic Segmentation9 May 2026
- 2026Hierarchically Robust Zero-shot Vision-language Models20 Apr 2026
- 2026Uncertainty-guided Compositional Alignment with Part-to-Whole Semantic Representativeness in Hyperbolic Vision-Language Models23 Mar 2026
- 2025HyperET: Efficient Training in Hyperbolic Space for Multi-modal Large Language Models23 Oct 2025
- 2025PHyCLIP: ℓ1-Product of Hyperbolic Factors Unifies Hierarchy and Compositionality in Vision-Language Representation Learning10 Oct 2025
- 2025Talk in Pieces, See in Whole: Disentangled and Hierarchical Representation Learning in Language-based Object Detection29 Sep 2025
- 2025Galaxy Walker: Geometry-aware VLMs For Galaxy-scale Understanding24 Mar 2025
- 2025Hyperbolic Safety-Aware Vision-Language Models15 Mar 2025
- 2024Compositional Entailment Learning for Hyperbolic Vision-Language Models9 Oct 2024
- 2023Beyond Statistical Similarity: Rethinking Metrics for Deep Generative Models in Engineering Designcited by 22
- 2026Path-Decoupled Hyperbolic Flow Matching for Few-Shot Adaptationcited by 4
- 2026Reducing Memorisation in Generative Models via Riemannian Bayesian Inferencecited by 1
- 2026MC-RFM: Geometry-Aware Few-Shot Adaptation via Mixed-Curvature Riemannian Flow Matchingcited by 0
- 2026MC-RFM: Geometry-Aware Few-Shot Adaptation via Mixed-Curvature Riemannian Flow Matching8 May 2026
- 2026Path-Decoupled Hyperbolic Flow Matching for Few-Shot Adaptation24 Feb 2026
- 2026Reducing Memorisation in Generative Models via Riemannian Bayesian Inference30 Jan 2026
- 2023Beyond Statistical Similarity: Rethinking Metrics for Deep Generative Models in Engineering Design6 Feb 2023
- 2025Multi-Hop Reasoning for Question Answering with Hyperbolic Representationscited by 1
- 2026HyperVis: Continuous Latent Visual Relational Graphs on the Lorentz Hyperboloid for Compositional Reasoningcited by 1
- 2026HyperGuide: Hyperbolic Guidance for Efficient Multi-Step Reasoning in Large Language Modelscited by 0
- 2026HyperVis: Continuous Latent Visual Relational Graphs on the Lorentz Hyperboloid for Compositional Reasoning4 Jun 2026
- 2026HyperGuide: Hyperbolic Guidance for Efficient Multi-Step Reasoning in Large Language Models22 May 2026
- 2025Multi-Hop Reasoning for Question Answering with Hyperbolic Representations4 Jul 2025
- 2021Hyperbolic Deep Neural Networks: A Surveycited by 138
- 2023Hyperbolic Image-Text Representationscited by 132
- 2022Hyperbolic Vision Transformers: Combining Improvements in Metric Learningcited by 109
- 2022Hyperbolic Image Segmentationcited by 101
- 2023Hyperbolic Deep Learning in Computer Vision: A Surveycited by 72
- 2023E^2VPT: An Effective and Efficient Approach for Visual Prompt Tuningcited by 70
- 2022Hyperbolic Contrastive Learning for Visual Representations beyond Objectscited by 58
- 2021Clipped Hyperbolic Classifiers Are Super-Hyperbolic Classifierscited by 56
- 2021A Hyperbolic-to-Hyperbolic Graph Convolutional Networkcited by 53
- 2021Learning the Predictability of the Futurecited by 48
- 2023Fully Hyperbolic Convolutional Neural Networks for Computer Visioncited by 48
- 2022The Numerical Stability of Hyperbolic Representation Learningcited by 46
12 most cited of 198 All 198 (JSON)
- 2026Curvature Under Attack in hZACH-ViT: Gauge Symmetry, Boundary Saturation, and Adversarial Failure30 Sep 2026
- 2026CurvSpec: Adaptive Multi-Curvature Learning for Partial Relevant Video Retrieval29 Sep 2026
- 2026Explaining Hyperbolic Neural Networks via Geometry-Aware Relevance Propagation28 Sep 2026
- 2026Hyperbolic Multimodal Continual Learning: A Closest-Admissible Solution24 Sep 2026
- 2026hyperbolix: Hyperbolic Deep Learning in JAX23 Sep 2026
- 2026What Drives Hierarchy-Aware Image Retrieval? Taxonomy Alignment, Objective Choice, and Geometry22 Sep 2026
- 2026Hyperbolic Geometry for Open-World Object Detection in Remote Sensing Imagery9 Sep 2026
- 2026Hyperbolic Latent Geometry for Tree-Structured Prototype Networks: A Local-vs-Global Trade-off25 Aug 2026
- 2026Hyperbolic Hierarchical Clustering for Visual Representation Learning24 Aug 2026
- 2026Hyper^2: Unleashing Hyperbolic Geometry's Full Potential via Dual-Space Consistency23 Aug 2026
- 2026FlatLand: Personalized Graph Federated Learning via Tailored Lorentz Space21 Aug 2026
- 2026PointCHR: Point Cloud Analysis via Curvature-Aware Hyperbolic Rectification27 Jul 2026
12 newest of 198 All 198 (JSON)