Hyperbolic Representation Learning

Ask about this topic

Overview

Hyperbolic representation learning studies how negatively curved spaces can encode tree-like hierarchies and scale-free relationships more compactly than flat Euclidean spaces. Common approaches learn embeddings in Poincaré balls or Lorentz hyperboloids, using graph neural networks, entailment cones, contrastive objectives, and curvature-adaptive or manifold-aware layers. Applications span graph prediction, vision-language alignment, time-series forecasting, and biomedical data, with evaluations often testing retrieval, classification, and transfer across levels of a hierarchy. A central open question is when the geometry itself improves results: outcomes depend on objectives, curvature, and optimization stability, and some controlled studies find that hierarchy-aware supervision matters more than the choice of geometry.

Latest papers

CardsList

92 papers18 papers in the last four weeks, up 6% on the four weeks before. 0.1% of all new papers.

  1. HyperVis: Continuous Latent Visual Relational Graphs on the Lorentz Hyperboloid for Compositional Reasoning

    Jun 4, 2026Moshiur Farazi, Sameera Ramasinghe, Mahbub Ahmed Turza +1Hyperbolic Representation LearningVisual Reasoning

    Data Science and AI, University of Doha for Science and Technology, Qatar · Pluralis Research, Australia · Department of Electrical and Computer Engineering, North South University, Bangladesh

  2. SkelHCC: A Hyperbolic CLIP-Driven Cache Adaptation Framework for Skeleton-based One-Shot Action Recognition

    Jun 2, 2026Yanan Liu, Anqi Zhu, Jingmin Zhu +6Skeleton-Based Action RecognitionCross-Modal Representation Learning

    Yunnan University, Kunming, China · Monash University · Lancaster University +1

  3. SAHG: Sector-Anisotropic Hyperbolic Graph Model for Social Bot Detection

    May 28, 2026Hanning Lu, Yingguang Yang, Jinwei Su +8Social Media AnalysisGraph Neural Networks

    University of Leeds · University of Science and Technology of China · South China Normal University +6

  4. Temporal Hyperbolic Graph Representation Learning for Scale-Free Internet Routing and Delay Prediction

    May 27, 2026Yi-Ling Kuo, Hao-Yu Tien, Shih-Yu TsaiTemporal GNNsTemporal Link Prediction

    Department of Information Management and Finance, National Yang Ming Chiao Tung University, Hsinchu 30010, Taiwan

  5. H2G: Hierarchy-Aware Hyperbolic Grouping for 3D Scenes

    May 12, 2026ByungHa Ko, Youngmin Lee, Dong Hwan KimClusteringHierarchical Representation Learning

    Department of Computer Science and Engineering, Korea University · Intelligence and Interaction Research Center, Korea Institute of Science and Technology

  6. HYPERPOSE: Hyperbolic Kinematic Phase-Space Attention for 3D Human Pose Estimation

    May 11, 2026Vinduja Thekkath, Ashish Musale, Ajay Waghumbare +13D Human Pose EstimationAttention Mechanisms

  7. HyNeuralMap: Hyperbolic Mapping of Visual Semantics to Neural Hierarchies

    May 10, 2026Zihan Ma, Tian Xia, Kexin Wang +3Neural Representation GeometryCross-Modal Alignment

    School of Electronic Information (School of Artificial Intelligence), the Xi’an Key Laboratory of Radiomics and Intelligent Perception, Northwest University, Xi’an 710127, China

  8. Semantic Alignment in Hyperbolic Space for Open-Vocabulary Semantic Segmentation

    May 9, 2026Hoang M. Truong, Hai Nguyen-Truong, Dang HuynhVLM AdaptationHierarchical Representation Learning

    Fulbright University Vietnam

  9. Curvature-Aware Captioning:Leveraging Geodesic Attention for 3D Scene Understanding

    May 9, 2026Ziyao He, Yingjie Liu, ZhangYangRui +3Attention MechanismsHyperbolic Representation Learning

    East China Normal University

  10. Hyperbolic Concept Bottleneck Models

    May 7, 2026Daniel Uyterlinde, Swasti Shreya Mishra, Pascal MettesConcept Bottleneck ModelsHierarchical Representation Learning

    Informatics Institute, University of Amsterdam, The Netherlands

  11. BatMIL: Geometry-Embedding State Space Model for Whole-Slide Image Representation

    May 6, 2026Enhui Chai, Sicheng Chen, Tianyi Zhang +4Histopathology Image ClassificationMultiple Instance Learning

    PuzzleLogic Pte Ltd, Singapore 229594, Singapore · Nhu Department of Electrical Engineering and Computer Science, University of California, Irvine · Department of Electrical & Computer Engineering, National University of Singapore

  12. Hyp2Former: Hierarchy-Aware Hyperbolic Embeddings for Open-Set Panoptic Segmentation

    May 4, 2026Yao Lu, Rohit Mohan, Florian Drews +2Image SegmentationPanoptic Segmentation

    Department of Computer Science, University of Freiburg, Germany · Bosch Research, Robert Bosch GmbH, Germany

  13. A Unified Framework of Hyperbolic Graph Representation Learning Methods

    Apr 30, 2026Sofía Pérez Casulo, Marcelo Fiori, Bernardo Marenco +1Graph Representation LearningGraph Embedding

    Facultad de Ingenier´ıa, Universidad de la Rep´ublica, Uruguay · Centro Interdisciplinario en Ciencia de Datos y Aprendizaje Autom´atico (CICADA), Universidad de la Rep´ublica, Uruguay

  14. HAC: Parameter-Efficient Hyperbolic Adaptation of CLIP for Zero-Shot VQA

    Apr 26, 2026Francesco Dibitonto, Cigdem Beyan, Vittorio MurinoVisual Question AnsweringZero-Shot Learning

    Department of Computer Science, University of Verona, Verona, Italy · EVS - Embedded Vision Systems Srl, Verona, Italy · AI for Good (AIGO), Istituto Italiano di Tecnologia, Genova, Italy

  15. HypEHR: Hyperbolic Modeling of Electronic Health Records for Efficient Question Answering

    Apr 22, 2026Yuyu Liu, Sarang Rajendra Patil, Mengjia Xu +1HealthcareHierarchical Representation Learning

    Department of Computer Science, Stony Brook University · Department of Data Science, New Jersey Institute of Technology · Department of Biomedical Informatics, Stony Brook University

  16. HSG: Hyperbolic Scene Graph

    Apr 19, 2026Liyang Wang, Zeyu Zhang, Hao TangGraph Representation LearningHierarchical Representation Learning

    School of Computer Science, Peking University

  17. Modeling Multi-Dimensional Cognitive States in Large Language Models under Cognitive Crowding

    Apr 19, 2026Lin Zhong, Siyu Zhu, Zizhen Yuan +5LLM AlignmentCognitive Modeling

    Harbin Institute of Technology, Shenzhen, China · City University of Macau, Macao SAR, China · Peng Cheng Laboratory, Shenzhen, China

  18. Hyperbolic Enhanced Representation Learning for Incomplete Multi-view Clustering

    Apr 18, 2026Tianyi Chen, Haobo Wang, Kai Tang +5Contrastive LearningHierarchical Representation Learning

    School of Software Technology, Zhejiang University, Zhejiang 310027, China · College of Computer Science and Technology, Zhejiang University, Zhejiang 310027, China · Beijing Key Laboratory of Traffic Data Analysis and Mining, Beijing Jiaotong University, Beijing 100044, China +2

  19. Lorentz Framework for Semantic Segmentation

    Apr 18, 2026Zahid Hasan, Masud Ahmed, Nirmalya RoySegmentation Uncertainty EstimationSemantic Segmentation

    Department of Information Systems, University of Maryland, Baltimore County

  20. EEG-Based Multimodal Learning via Hyperbolic Mixture-of-Curvature Experts

    Apr 14, 2026Runhe Zhou, Shanglin Li, Guanxiang Huang +5Multimodal LearningMultimodal Fusion

    Nanyang Technological University, Singapore · BIFOLD, Berlin Institute for the Foundations of Learning and Data, Berlin, Germany · ATR, Kyoto, Japan +2

  21. Busemann energy-based attention for emotion analysis in Poincaré discs

    Apr 8, 2026Zinaid Kapić, Vladimir JaćimovićEmotion RecognitionAffective Computing

    Faculty of Natural Sciences and Mathematics, University of Montenegro, Cetinjski put, bb., 81000 Podgorica, Montenegro

  22. Hierarchical Co-Embedding of Font Shapes and Impression Tags

    Apr 5, 2026Yugo Kubota, Kaito Shiku, Seiichi UchidaMultimodal EmbeddingVision-Language Retrieval

    Kyushu University, Fukuoka, Japan

  23. LA-Sign: Looped Transformers with Geometry-aware Alignment for Skeleton-based Sign Language Recognition

    Mar 30, 2026Muxin Pu, Mei Kuan Lim, Chun Yong Chong +1Sign Language RecognitionRecurrent Transformers

    School of Information Technology, Monash University · S-Lab, Nanyang Technological University

  24. ARGENT: Adaptive Hierarchical Image-Text Representations

    Mar 24, 2026Chuong Huynh, Hossein Souri, Abhinav Kumar +3Vision-Language ModelsHierarchical Representation Learning

    University of Maryland, College Park · Samsung Research America, AI Center – Mountain View

  25. HyFI: Hyperbolic Feature Interpolation for Brain-Vision Alignment

    Mar 24, 2026Sangmin Jo, Wootaek Jeong, Da-Woon Heo +2Cross-Modal AlignmentEEG-Based Visual Decoding

    Department of Artificial Intelligence, Korea University, Seoul, South Korea

  26. Uncertainty-guided Compositional Alignment with Part-to-Whole Semantic Representativeness in Hyperbolic Vision-Language Models

    Mar 23, 2026Hayeon Kim, Ji Ha Jang, Junghun James Kim +1Vision-Language ModelsHierarchical Representation Learning

    Dept. of Electrical and Computer Engineering, Seoul National University, Republic of Korea · INMC & IPAI, Seoul National University, Republic of Korea

  27. A Depth-Aware Comparative Study of Euclidean and Hyperbolic Graph Neural Networks on Bitcoin Transaction Systems

    Mar 17, 2026Ankit Ghimire, Saydul Akbar Murad, Nick RahimiGraph Neural NetworksHyperbolic Representation Learning

    School of Computing Sciences and Computer Engineering University of Southern Mississippi Hattiesburg, MS, 39406, USA

  28. A Hyperbolic Perspective on Hierarchical Structure in Object-Centric Scene Representations

    Mar 14, 2026Neelu Madan, Àlex Pujol, Andreas Møgelmose +4Hierarchical Representation LearningObject-Centric Representation Learning

    Aalborg University & Pioneer Centre for AI, Denmark · Universitat de Barcelona & Computer Vision Center, Spain · Milestone Systems, Denmark +1

  29. Hyperbolic Multiview Pretraining for Robotic Manipulation

    Mar 5, 2026Jin Yang, Ping Wei, Yixin Chen +1Robotic Manipulation3D Representation Learning

    National Key Laboratory of Human-Machine Hybrid Augmented Intelligence, Institute of Artificial Intelligence and Robotics, Xi’an Jiaotong University

  30. Intrinsic Lorentz Neural Network

    Feb 27, 2026Xianglong Shi, Ziheng Chen, Yunhan Jiang +1Hyperbolic Representation LearningImage Classification

    University of Science and Technology of China · University of Trento · Peking University