Recently, hyperbolic spaces have emerged as a promising alternative for processing data with a tree-like structure or power-law distribution, owing to its exponential growth property and tree-likeness prior. Different from the Euclidean space, which expands polynomially, the hyperbolic space grows exponentially which makes it gain natural advantages in abstracting tree-like or scale-free data with hierarchical organizations. In this repository, we organize papers into core methods, domain applications, and cross-domain task settings to make the taxonomy easier to navigate. We will keep updating this repository with the latest research developments. We are aware that there will inevitably be some mistakes and oversights, so if you have any questions or suggestions, please feel free to contact us (menglin.yang[@]outlook.com).
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Hyperbolic Prototype Learning with Uncertainty-Aware Consistency for Continual Test-Time Segmentation, CVPR 2026
Siddhant Gole, Akash Pal, Amit More, S Divakar Bhat, Subhasis Chaudhuri, Biplab Banerjee
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GeoWorld: Geometric World Models, CVPR 2026
Zeyu Zhang, Danning Li, Ian Reid, Richard Hartley
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HiTag: Hierarchical Image Tagging with Hyperbolic Vision-Language Modeling, CVPR 2026
Yi Yang, Ziyue Peng, Kang Zhang, Xincheng Tan, Fan Lu, Jingting Ding, Kecheng Zheng, Minfeng Zhu, Wei Chen
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HypeVPR: Exploring Hyperbolic Space for Perspective to Equirectangular Visual Place Recognition, CVPR 2026
Suhan Woo, Seongwon Lee, Jinwoo Jang, Euntai Kim
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Learning Hierarchical Hyperbolic Mixture Model for Part-aware 3D Generation, CVPR 2026
Qitong Yang, Mingtao Feng, Zijie Wu, Huixin Zhu, Weisheng Dong, Yaonan Wang, Ajmal Mian
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Hyperbolic Relational Prompts for Intersectional Fairness in Medical VLMs, CVPR 2026
Jiayu Qian, Zongxian Yang, Guanxing Chen, Pengwei Hu, KC Tan, Yan Wang, Yu-An Huang, Zhi-An Huang
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HyperST: Hierarchical Hyperbolic Learning for Spatial Transcriptomics Prediction, CVPR 2026
Chen Zhang, Yilu An, Ying Chen, Hao Li, Xitong Ling, Lihao Liu, Junjun He, Yuxiang Lin, Zihui Wang, Rongshan Yu
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Hyperbolic Defect Feature Synthesis for Few-Shot Defect Classification, CVPR 2026
Huimin Li, Boxuan Hu, Yulin Zhang, Xiuzhuang Zhou, Junlin Hu
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H2-Surv: Hierarchical Hyperbolic Multimodal Representation Learning for Survival Prediction, CVPR 2026
Jiaqi Yang, Wenting Chen, Xiangjian He, Yuanbai Li, Sen Yang, Linlin Shen, Xiaohan Xing
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Hyperbolic Gramian Volumes for Multimodal Alignment, CVPR 2026
Saiyang Na, Feng Jiang, Qifeng Zhou, Wenliang Zhong, Thao M. Dang, Yuzhi Guo, Hehuan Ma, Chunyuan Li, Weizhi An, Junzhou Huang
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Hyperbolic Busemann Neural Networks, CVPR 2026
Ziheng Chen, Bernhard Schölkopf, Nicu Sebe
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Uncertainty-guided Compositional Alignment with Part-to-Whole Semantic Representativeness in Hyperbolic Vision-Language Models, CVPR 2026
Hayeon Kim, Ji Ha Jang, Junghun James Kim, Se Young Chun
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Asymmetric Multi-View Clustering with Hyperbolic Uncertainty Modeling, ICML 2026
Yiming Wang, Qun Li, Dongxia Chang, Jie Wen, Hua Dai, Fu Xiao
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EEG-Based Multimodal Learning via Hyperbolic Mixture-of-Curvature Experts, ICML 2026
Runhe Zhou, Shanglin Li, Guanxiang Huang, Xinliang Zhou, Qibin Zhao, Motoaki Kawanabe, Yi Ding, Cuntai Guan
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FlatLand: Personalized Graph Federated Learning via Tailored Lorentz Space, ICML 2026
Jiahong Liu, Ram Samarth B B, Xinyu Fu, Menglin Yang, Weixi Zhang, ZHITAO YING, Irwin King
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HVAE: Hyperbolic Variational Autoencoder For Flexible Knowledge Transfer Across Multiple Domains, ICML 2026
Xiaolei Liu, Binfeng Wang, Kaixin Gao, Shaoshuai Li
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HypCL: Adapting CLIP in Hyperbolic Space for Continual Learning, ICML 2026
Quan Cheng, Hao Yu, Da-Wei Zhou, Lijun Zhang
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Hyperbolic Associative Memory Networks, ICML 2026
Boliang Hao, Bailing Zhang, Fangyu Wu
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Hyperbolic Hierarchical Alignment for Video-Based Visible-Infrared Person Re-Identification, ICML 2026
Shuang Li, Changjiang Kuang, Jiaxu Leng, Mingpi Tan, Zhanjie Wu, Shuanglin Yan, Xinbo Gao
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Hyperbolic Multimodal Continual Learning, ICML 2026
Jiahong Liu, Ming Shen, Xiaohao Liu, ZHITAO YING, Menglin Yang, Tat-Seng Chua, Irwin King
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Hyperbolic Neural Operator, ICML 2026
jieyuan pei, Zhuoxuan Li, Wei Li, Haobo Zhang, jiawei jiang, Jianwei Zheng
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Hyperbolic RQ-VAE enhanced Generative Recommendation with Differential-Length Codebook Strategy, ICML 2026
Aoran Zhang, Yu-Bin Yang, Yonghong Yu
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Hyper-ICL: Attention Calibration with Hyperbolic Anchor Distillation for Multimodal In-Context Learning, ICML 2026
Niloufar Alipour Talemi, Hossein Kashiani, Fatemeh Afghah
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Hyper-LLaVA: Hyperbolic Uncertainty-aware Modality-Balanced Routing for Multimodal Continual Instruction Tuning, ICML 2026
Kunlun Xu, YanQin Zhang, Wenwen Qiang, Jiahuan Zhou
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HypRAG: Hyperbolic Dense Retrieval for Retrieval Augmented Generation, ICML 2026
Hiren Madhu, Ngoc Bui, Ali Maatouk, Leandros Tassiulas, Smita Krishnaswamy, Menglin Yang, Sukanta Ganguly, Kiran Srinivasan, ZHITAO YING
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Klein Hyperbolic Metric Learning, ICML 2026
Yulin Zhang, Boxuan Hu, Huimin Li, Junlin Hu
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Learning Attribute–Affordance Hierarchies in Hyperbolic Space for Open-Vocabulary 3D Object Affordance Grounding, ICML 2026
Yuxuan Wang, Tong Li, Yihang Zhu, Guangtao Lyu, Yukuan Min, Chenghao Xu, Jiexi Yan, Xu Yang, Cheng Deng
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Path-Decoupled Hyperbolic Flow Matching for Few-Shot Adaptation, ICML 2026
Lin Li, Ziqi Jiang, Gefan Ye, Zhenqi He, Jiahui Li, Jun Xiao, Kwang-Ting Cheng, Long Chen
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PointCHR: Point Cloud Analysis via Curvature-Aware Hyperbolic Rectification, ICML 2026
Xinxing Yu, Liying Yang, Hao Mo, Hui Ma, Fang Kai, Ajian Liu, Yanyan Liang
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SkelHCC: A Hyperbolic CLIP-Driven Cache Adaptation Framework for Skeleton-based One-Shot Action Recognition, ICML 2026
Yanan Liu, Anqi Zhu, Jingmin Zhu, Jun Liu, Hossein Rahmani, Mohammed Bennamoun, Farid Boussaid, Dan Xu, Qiuhong Ke
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Text-Driven Fusion for Infrared and Visible Images: Achieving Image Scene Adaptation on Hyperbolic Space, ICML 2026
Huan Kang, Hui Li, Tianyang Xu, Tao Zhou, Xiaojun Wu, Josef Kittler
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HELM: Hyperbolic Large Language Models via Mixture-of-Curvature Experts, NeurIPS 2025
Neil He, Rishabh Anand, Hiren Madhu, Ali Maatouk, Smita Krishnaswamy, Leandros Tassiulas, Menglin Yang, Rex Ying
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Hyperbolic Fine-Tuning for Large Language Models, NeurIPS 2025 (Spotlight)
Menglin Yang, Ram Samarth B B, Aosong Feng, Bo Xiong, Jiahong Liu, Irwin King, Rex Ying
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HyperET: Efficient Training in Hyperbolic Space for Multi-modal Large Language Models, NeurIPS 2025 (Oral)
Zelin Peng, Zhengqin Xu, Qingyang Liu, Xiaokang Yang, Wei Shen
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Hyperbolic Dataset Distillation, Code, NeurIPS 2025
Wenyuan Li, Guang Li, Keisuke Maeda, Takahiro Ogawa, Miki Haseyama
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Geo-Sign: Hyperbolic Contrastive Regularisation for Geometrically Aware Sign Language Translation, Code, NeurIPS 2025
Edward Fish, Richard Bowden
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Learning Protein–Ligand Binding in Hyperbolic Space, AAAI 2026
Jianhui Wang, Wenyu Zhu, Bowen Gao, Xin Hong, Ya-Qin Zhang, Wei-Ying Ma, Yanyan Lan
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Angular Gradient Sign Method: Uncovering Vulnerabilities in Hyperbolic Networks, AAAI 2026
Minsoo Jo, Dongyoon Yang, Taesup Kim
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HyFI: Hyperbolic Feature Interpolation for Brain-Vision Alignment, AAAI 2026
Sangmin Jo, Wootaek Jeong, Da-Woon Heo, Yoohwan Hwang, Heung-Il Suk
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Hyperbolic Hierarchical Alignment Reasoning Network for Text-3D Retrieval, AAAI 2026
Wenrui Li, Yidan Lu, Yeyu Chai, Rui Zhao, Hengyu Man, Xiaopeng Fan
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Towards LLM-Empowered Knowledge Tracing via LLM-Student Hierarchical Behavior Alignment in Hyperbolic Space, AAAI 2026
Xingcheng Fu, Shengpeng Wang, Yisen Gao, Xianxian Li, Chunpei Li, Qingyun Sun, Dongran Yu
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Hyperbolic-Enhanced Mixture-of-Experts Mamba for Sequential Recommendation, AAAI 2026
Yuwen Liu, Lianyong Qi, Xingyuan Mao, Weiming Liu, Xuhui Fan, Qiang Ni, Xuyun Zhang, Yang Zhang, Yuan Tian, Amin Beheshti
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FlorE: Integrating Full Lorentz Group and Directional Offsets for Effective Knowledge Graph Embedding, AAAI 2026
Zehua Duo, Jiang Li, Xiangdong Su, Guanglai Gao
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Adaptive Hyperbolic Kernels: Modulated Embedding in de Branges-Rovnyak Spaces, AAAI 2026
Leping Si, Meimei Yang, Hui Xue, Shipeng Zhu, Pengfei Fang
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Wasserstein-Aligned Hyperbolic Multi-View Clustering, AAAI 2026
Rui Wang, Yuting Jiang, Xiaoqing Luo, Xiao-Jun Wu, Nicu Sebe, Ziheng Chen
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Hyperbolic Continuous Structural Entropy for Hierarchical Clustering, AAAI 2026
Guangjie Zeng, Hao Peng, Angsheng Li, Li Sun, Chunyang Liu, Shengze Li, Yicheng Pan, Philip S. Yu
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Hyperbolic-PDE GNN: Spectral Graph Neural Networks in the Perspective of A System of Hyperbolic Partial Differential Equations, ICML 2025
Juwei Yue, Haikuo Li, Jiawei Sheng, Xiaodong Li, Taoyu Su, Tingwen Liu, Li Guo
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Sparse Spectral Training and Inference on Euclidean and Hyperbolic Neural Networks, ICML 2025
Jialin Zhao, Yingtao Zhang, Xinghang Li, Huaping Liu, Carlo Cannistraci
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Low-distortion and GPU-compatible Tree Embeddings in Hyperbolic Space, ICML 2025
Max van Spengler, Pascal Mettes
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Learning Along the Arrow of Time: Hyperbolic Geometry for Backward-Compatible Representation Learning, ICML 2025 \
Ngoc Bui, Menglin Yang, Runjin Chen, Leonardo Neves, Mingxuan Ju, Zhitao Ying, Neil Shah, Tong Zhao
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Hyperbolic Graph Transformer for Collaborative Filtering, ICML 2025
Yang Xin, Xingrun Li, Heng Chang, Yang Jinze, Xihong Yang, Shengyu Tao, Maiko Shigeno, Ningkang Chang, Junfeng Wang, Dawei Yin, Erxue Min
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Mixed-Curvature Decision Trees and Random Forests, ICML 2025
Philippe Chlenski, Quentin Chu, Raiyan Khan, Kaizhu Du, Antonio Moretti, Itsik Pe’er
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A Mixed-Curvature based Pre-training Paradigm for Multi-Task Vehicle Routing Solver, ICML 2025
Suyu Liu, Zhiguang Cao, Shanshan Feng, Yew Soon Ong
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Curvature-aware Graph Attention for PDEs on Manifolds, ICML 2025
Yunfeng Liao, Jiawen Guan, Xiucheng Li
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Hyperbolic Category Discovery, CVPR 2025
Yuanpei Liu, Zhenqi He, Kai Han
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Parameter-efficient Fine-tuning in Hyperspherical Space for Open-vocabulary Semantic Segmentation, CVPR 2025
Zelin Peng, Zhengqin Xu, Zhilin Zeng, Changsong Wen, Yu Huang, Menglin Yang, Feilong Tang, Wei Shen
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Hyperbolic Safety-Aware Vision-Language Models, CVPR 2025
Tobia Poppi, Tejaswi Kasarla, Pascal Mettes, Lorenzo Baraldi, Rita Cucchiara
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Hyperbolic Uncertainty-Aware Few-Shot Incremental Point Cloud Segmentation, CVPR 2025
Tanuj Sur, Samrat Mukherjee, Kaizer Rahaman, Subhasis Chaudhuri, Muhammad Haris Khan, Biplab Banerjee
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Deep Change Monitoring: A Hyperbolic Representative Learning Framework and a Dataset for Long-term Fine-grained Tree Change Detection, CVPR 2025
Yante Li, Hanwen Qi, Haoyu Chen, Liang Xinlian, Guoying Zhao
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Compositional Entailment Learning for Hyperbolic Vision-Language Models, ICLR 2025
Avik Pal, Max van Spengler, Guido Maria D’Amely di Melendugno, Alessandro Flaborea, Fabio Galasso, Pascal Mettes
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Hyperbolic Genome Embeddings, ICLR 2025
Raiyan R. Khan, Philippe Chlenski, Itsik Pe’er
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Tree-Wasserstein Distance for High Dimensional Data with a Latent Feature Hierarchy, ICLR 2025
Ya-Wei Eileen Lin, Ronald R. Coifman, Gal Mishne, Ronen Talmon
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Gyrogroup Batch Normalization, ICLR 2025
Ziheng Chen, Yue Song, Xiaojun Wu, Nicu Sebe
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Spectro-Riemannian Graph Neural Networks, ICLR 2025
Karish Grover, Haiyang Yu, Xiang song, Qi Zhu, Han Xie, Vassilis N. Ioannidis, Christos Faloutsos
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