marlin-codes/Awesome-Hyperbolic-Representation-and-Deep

Paper list about hyperbolic embedding, hyperbolic models,hyperbolic applications.

Introduction

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).

Survey paper: A Survey of Non-Euclidean Geometric Learning from Hyperbolic to Mixed-Curvature Spaces

1. Latest Update

2. Core Methods and Geometry

2.1 Hyperbolic Shallow Models and Embeddings

2.2 Hyperbolic Neural Networks

2.3 Hyperbolic Graph Neural Networks

2.4 Attention, Transformers, and Sequence Models

2.5 Theory, Analysis, and Numerical Stability

2.6 Hierarchy and Tree Modeling

2.7 Mixed-Curvature and Alternative Geometries

2.8 Hyperbolic Generative Models

2.9 Hyperbolic Classifiers and Decision Models

2.10 Hyperbolic Operations and Representation Utilities

2.11 LLMs and Foundation Models

3. Domain Applications

3.1 Language and Text Applications

3.2 Computer Vision, Graphics, and Robotics

3.3 Graphs and Networked Data

3.4 Recommender Systems

3.5 Knowledge Graphs

3.6 Biology and Molecular Learning

3.7 Code Representation

3.8 Education and Learning Analytics

4. Task-Oriented Settings

4.1 Multi-label and Hierarchical Classification

4.2 Metric Learning, Retrieval, and Clustering

4.3 Data-Driven Geometry Learning and Adaptation

4.4 Few-Shot and Low-Data Learning

4.5 Open-Vocabulary, Zero-Shot, and Category Discovery

4.6 Safety, Robustness, and Privacy

4.7 Environmental Monitoring

4.8 Multi-Criteria Learning

Hyperbolic Slack Group

Latest Update

October 11, 2026: add NeurIPS 2026 papers
October 1, 2026: Add survey paper for this awesome repo 🔥
September 27, 2026: add ECCV 2026, ACM MM 2026, MICCAI 2026, RecSys 2026 papers 🔥
August 8, 2026: add SIGIR 2026, KDD 2026 papers
July 28, 2026: add ACL Findings 2026 paper
July 18, 2026: add ACL 2026, KDD 2026, MIDL 2026 papers
June 2, 2026: add CVPR 2026, AAAI 2026, IJCAI-ECAI 2026 papers
May 22, 2026: add AISTATS 2026, ICML 2026, WSDM 2026 papers
May 2, 2026: update WACV 2026, COLING 2025, ACL Findings 2025, TheWebConf 2026, SIGIR 2026 papers
April 17, 2026: add WACV 2026, ICLR 2026, ACL Findings 2025, COLING 2025 papers
March 11, 2026: add EMNLP 2025, WSDM 2025, RecSys 2025, AISTATS 2025, LoG 2025 papers
March 7, 2026: add ICLR 2026, CVPR 2026 papers
December 17, 2025: add NeurIPS 2025, AAAI 2026 papers
August 17, 2025: add ICCV 2025 papers
Jun 10, 2025 : add ICML 2025, ICML 2024 papers
Jun 7, 2025 : update CVPR 2025, SIGIR 2025, ACL 2025 paper
Feb 26, 2025 : update ICLR 2025 papers
Dec 29, 2024 : update NeurIPS 2024 papers
Dec 16, 2024 : add NeurIPS 2024 papers
Sept 8, 2024 : add ICML 2024, KDD 2024, WWW 2024, SIGIR 2024, ICDE 2024, CVPR 2024 papers

NeurIPS 2026

Building Transformation Layers for Riemannian Neural Networks, NeurIPS 2026
Ziheng Chen
Busemannformer: Horospherical Self-Attention for Hyperbolic Graph Transformers, NeurIPS 2026
Youheng Yao, Ziyao Zeng, Wenbo Liao, Tianqi Wang
Elastic Representations via Hyperbolic Geometry, NeurIPS 2026
Arjun Ramesh Kaushik, Rudrasis Chakraborty, Nalini Ratha, Venu Govindaraju
H2G: Hierarchy-Aware Hyperbolic Grouping for 3D Scenes, NeurIPS 2026
ByungHa Ko, Youngmin Lee, Dong Hwan Kim
Hierarchical Cross-Class Part Alignment for Prototypical Part Networks via Hyperbolic Entailment, NeurIPS 2026
Keisuke Sano, Takayoshi Yamashita, Hironobu Fujiyoshi
Hyperbolic Concept Bottleneck Models, NeurIPS 2026
Daniel Uyterlinde, Swasti S Mishra, Pascal Mettes
Hyperbolic Concept Embedding Model for Interpretable Medical Image Diagnosis, NeurIPS 2026
Qihao Xu, Yadong Liu, Yong Xu, Xiaoling Luo, Chengliang Liu
Hyperbolic Displacement-Constrained Adaptation for CLIP-Based Class-Incremental Learning, NeurIPS 2026
Quan Cheng, Zhenhao Wen, Lan Li, Da-Wei Zhou, Lijun Zhang
Hyperbolic Graph Neural Networks Under the Microscope: The Role of Geometry–Task Alignment, NeurIPS 2026
Dionisia Naddeo, Jonas Linkerhägner, Nicola Toschi, Geri Skenderi, Veronica Lachi
Hyperbolic Language Models: From Zipf to Compute-Optimal Scaling, NeurIPS 2026
Jinrui Lin, Menglin Yang, Rex Ying
HyperTree: Scalable Unsupervised Hierarchy Discovery in Hyperbolic Space, NeurIPS 2026
Thomas Lang, Kevin Sidak, Anna Beer, Sebastian Tschiatschek, Yllka Velaj, Claudia Plant
Invariant Hyperbolic Unfolding: Radial Canonicalization for Label-Free Cross-Graph Link Prediction, NeurIPS 2026
Taehee Lee
LAtte: Hyperbolic Lorentz Attention for Joint-Subject EEG Classification, NeurIPS 2026
Ahmad Bdeir, Johannes Burchert, Tom Hanika, Lars Schmidt-Thieme, Niels Landwehr
Learning Pseudo-Riemannian Manifolds for Heterophilic Graphs via Graph Signature, NeurIPS 2026
Yun Young Choi, Asung Kil, Sun Woo Park, Minho Lee, Seokhwan Kim
LLM-Enhanced Random Forests in Orthogonal Hyperbolic Subspaces for Tabular Learning, NeurIPS 2026
Shengpeng Wang, Yisen Gao, Han Xiang, lingyun liu, Ziwei Zhang, Qingyun Sun, Xianxian LI, Xingcheng Fu
Mixed-Curvature Geometric Latent Diffusion Model for Graph Generation, NeurIPS 2026
Minxue Qi, Xian Yang, Liang Bai
Orthogonal Origin Parking: Decoupling Lorentz Manifolds for Robust OOD Generalization, NeurIPS 2026
Peter J Kampen, Anders N Christensen, Morten Rieger Hannemose, Anders Dahl, Josefine Vilsbøll Sundgaard
PVFormer: Proper Velocity Transformer for Stable and Scalable Hyperbolic Representation Learning, NeurIPS 2026
Xianglong Shi, Nicu Sebe, Bernhard Schölkopf, Ziheng Chen
The Implicit Bias of Hyperbolic Representation Learning for Multiclass Data: A Busemann Risk Perspective, NeurIPS 2026
Xingrun Li, Sho Kuno, Yusuke Mukuta, Xin Yang, Tatsuya Harada

ECCV 2026

Hyperbolic Hierarchical Clustering for Visual Representation Learning, ECCV 2026
Jianan Wei, Guikun Chen, Zhiyuan Weng, Chunchao Guo, Yujia Wang, Wenguan Wang
HHA: Hierarchical Hyperbolic Constraints for Imperceptible Point Cloud Attacks, ECCV 2026
Keke Tang, Yu Liao, Weilong Peng, Xiaofei Wang, Daizong Liu, Zhongyun Hua, Peican Zhu, Zhihong Tian
Rank-Aware Hyperbolic Alignment for Vision–Language Dataset Distillation, ECCV 2026
Jongoh Jeong, Sun-Kyung Lee, KUK-JIN YOON
Hierarchical Hyperbolic Representation Learning for Aerial-Ground Person Re-Identification, ECCV 2026
Qiwei Yang
ARGENT: Adaptive Hierarchical Image-Text Representations, ECCV 2026
Chuong Huynh, Hossein Souri, Abhinav Kumar, Vitali Petsiuk, Deen Dayal Mohan, Suren Kumar
HyFL-CLIP: Hyperbolic Fine-Tuning of CLIP for Robust Long-Context Understanding, ECCV 2026
jiha jang, Hayeon Kim, Junghun James Kim, Chulwon Lee, Se Young Chun

ACM MM 2026

Hyper-ReID: Granularity-Aware Hyperbolic Graph Learning for Multi-Modal Object Re-Identification, ACM MM 2026
Shihao Li, Chenglong Li, Aihua Zheng, Jin Tang, Bin Luo
HRaLLM: Hyperbolic Rough Aware Large Language Model for Multimodal Action Reasoning, ACM MM 2026
Haibo Li, Yaming Yang, Yaoxin Chen, Qicong Wang, Hongying Meng
Fed-HDDH: A Hyperbolic Directional Diffusion Hypernetwork for Federated Learning, ACM MM 2026
Hui Wang, Renyu Yang, Hao Peng, Sun Jie, Yu Xiaolong, Jing Li, Tianyu Wo, Xudong Liu, Chao Tian, Jianwei Niu
ECHO: Euclidean-Hyperbolic Correlational Network for Cross-Scale Multi-View Learning, ACM MM 2026
Wendi Zhao, Shide Du, Zhiyong Xu, Yilin Wu, Weihong Lin, Yiqing Shi, Shiping Wang
Exploring Imbalanced Building Damage Assessment via Hyperbolic Semantic-Consistent Contrastive Learning, ACM MM 2026
Wenzhe Liu, Jiaxin Yan, Xiaohui Xu, Jianan Zhu, Zhongzhu Zhou, Mingrui Lao, Yuxiang Xie
HyPASE: Hyperbolic Geometry for Parameter-Efficient Speech Emotion Fine-Tuning Framework for Large Audio-Language Models, ACM MM 2026
Tian Jin, Ruikang Zhang, Zefeng Zhao, Ding Luo, Jin Zeng
MixCurv: Geometry-Aware Multimodal Clustering with Mixed-Curvature Experts, ACM MM 2026
Zhixiang Li, Zhiwen Luo, Xue Han, Yujian Lee, Nizar Bouguila, Weifeng Su, Wentao Fan
HyRAF: Reliability-Aware Multimodal Fusion in Hyperbolic Space for Robust Clinical Prediction, ACM MM 2026
Tianao Chen, Aotian Chen, Yuan Xue
H2AL: Hyperbolic Hierarchy-aware Aggregative Learning for Registration-based Few-shot Medical Image Segmentation, ACM MM 2026
Jia Wang, Jiaming Cai, Zunying Hu, Zhanjie Wu, Jinyuan Liu, Hua Cheng, Yun Peng, Xin Fan
CurvSpec: Adaptive Multi-Curvature Learning for Partial Relevant Video Retrieval, ACM MM 2026
Zhen Liu, Letian Li, Jinpeng Wang, Shuzhao Xie, Yuzhi Huang, Jingyan Jiang, Zhi Wang
HyperVOS: Video Object Segmentation via Hyperbolic Matching, ACM MM 2026
Aoran Yang, Xinnan Shi, Minyu Li, Jiaqing Fan
HCNet: Hyperbolic Hierarchical Clause Network for Weakly Supervised Multi-task Visual Grounding, ACM MM 2026
Yi Tian, Cheng Yang, Qingbao Huang

MICCAI 2026

Angular-Constrained Hyperbolic Learning for Hierarchical Multimodal Survival Prediction, MICCAI 2026
Haotian Yang, Qing Zhang, Qingli Li, Yan Wang
BrainHTF: Learning Causal Graph Representation of Brain Connectome with Hyperbolic Transformer, MICCAI 2026
Qiyu Sun, Zhenlin Mao, Ruiqing Feng, Jiashuang Huang, Mingliang Wang
H2M-Net: Hierarchical Hyperbolic Memory Network for Pathological Report Generation, MICCAI 2026
Shuilian Yao, Qi Jia, Shirui Li, Yu Liu, Xin Fan
Hierarchical Hyperbolic Self-Attention Network for Medical Image Segmentation, MICCAI 2026
Shaocheng Jin, Rui Wang, Chen Hu, Tianyang Xu, Xiao-Jun Wu, Tao Zhou
Hyperbolic Contrastive Learning with Entailment for Spatial Transcriptomics, MICCAI 2026
Daniela Vega, Paula Cárdenas, Hannah Ceballos, Leonardo Manrique, Pablo Arbeláez
Hyperbolic Vision-Language Interaction for Semi-supervised Medical Image Segmentation, MICCAI 2026
Qiuchi He, Shaocheng Jin, Rui Wang, Tianyang Xu, Xiao-Jun Wu, Tao Zhou
HyperVLP: Enhancing Hierarchical Surgical Video-Language Pre-training in Hyperbolic Space, MICCAI 2026
Yaojun Hu, Kun Yuan, Nassir Navab, Haochao Ying, Jian Wu, Nicolas Padoy
HypOProto: Hyperbolic Ordinal Prototypes for Left Ventricular Filling Pressure Classification, MICCAI 2026
Victoria Wu, Nima Hashemi, Hooman Vaseli, Christina Luong, Purang Abolmaesumi, Teresa S. M. Tsang
Image-mediated fMRI-to-caption generation with visual pathway tokens and hyperbolic alignment, MICCAI 2026
Hyoungshin Choi, Youkyoung Lee, Bo-yong Park, Hyunjin Park

RecSys 2026

Towards Efficient Hyperbolic Representation Learning for Recommender Systems, RecSys 2026
Tendai Mukande, Noel E. O Connor

AISTATS 2026

Hyperbolic Learning with Supervision from any Granularity, AISTATS 2026
Mina GhadimiAtigh, Max van Spengler, Teng Long, Melika Ayoughi, Tejaswi Kasarla, Pascal Mettes
Ergodic and Subhomogeneous Dynamics in Hyperbolic Neural Networks, AISTATS 2026
Nico Alvarado, Sebastian Burgos
Hyperbolic Part-Whole Image Segmentation, AISTATS 2026
Mikhail Vlasenko, Mina GhadimiAtigh, Pascal Mettes

WACV 2026

Lorentz Entailment Cone for Semantic Segmentation, WACV 2026
Zahid Hasan, Masud Ahmed, Nirmalya Roy
Dual-Domain Multimodal Hyperbolic Fusion for Cardiopulmonary Disease Diagnosis in Emergency Care, WACV 2026
Ke Nan, Maggie Samaan, Benjamin Burns, Xia Ning, Yuchi Han, Yuan Xue

CVPR 2026

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
GeoWorld: Geometric World Models, CVPR 2026
Zeyu Zhang, Danning Li, Ian Reid, Richard Hartley
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
HypeVPR: Exploring Hyperbolic Space for Perspective to Equirectangular Visual Place Recognition, CVPR 2026
Suhan Woo, Seongwon Lee, Jinwoo Jang, Euntai Kim
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
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
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
Hyperbolic Defect Feature Synthesis for Few-Shot Defect Classification, CVPR 2026
Huimin Li, Boxuan Hu, Yulin Zhang, Xiuzhuang Zhou, Junlin Hu
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
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
Hyperbolic Busemann Neural Networks, CVPR 2026
Ziheng Chen, Bernhard Schölkopf, Nicu Sebe
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

ICLR 2026

Understanding and Improving Hyperbolic Deep Reinforcement Learning, ICLR 2026 Poster
Timo Klein, Thomas Lang, Andrii Shkabrii, Alexander Sturm, Kevin Sidak, Lukas Miklautz, Claudia Plant, Yllka Velaj, Sebastian Tschiatschek
PoinnCARE: Hyperbolic Multi-Modal Learning for Enzyme Classification, ICLR 2026 Poster
Kun Xie, Peng Zhou, Xingyi Zhang, Wei Liu, Peilin Zhao, Sibo Wang, Biaobin Jiang
The Natural Geometry of Code: Hyperbolic Representation Learning for Program Reasoning, ICLR 2026 Poster
Weilin Zhou
Intrinsic Lorentz Neural Network, ICLR 2026 Poster
Xianglong Shi, Ziheng Chen, Yunhan Jiang, Nicu Sebe
PHyCLIP: $\ell_1$-Product of Hyperbolic Factors Unifies Hierarchy and Compositionality in Vision-Language Representation Learning, ICLR 2026 Poster
Daiki Yoshikawa, Takashi Matsubara

ICML 2026

Asymmetric Multi-View Clustering with Hyperbolic Uncertainty Modeling, ICML 2026
Yiming Wang, Qun Li, Dongxia Chang, Jie Wen, Hua Dai, Fu Xiao
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
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
HVAE: Hyperbolic Variational Autoencoder For Flexible Knowledge Transfer Across Multiple Domains, ICML 2026
Xiaolei Liu, Binfeng Wang, Kaixin Gao, Shaoshuai Li
HypCL: Adapting CLIP in Hyperbolic Space for Continual Learning, ICML 2026
Quan Cheng, Hao Yu, Da-Wei Zhou, Lijun Zhang
Hyperbolic Associative Memory Networks, ICML 2026
Boliang Hao, Bailing Zhang, Fangyu Wu
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
Hyperbolic Multimodal Continual Learning, ICML 2026
Jiahong Liu, Ming Shen, Xiaohao Liu, ZHITAO YING, Menglin Yang, Tat-Seng Chua, Irwin King
Hyperbolic Neural Operator, ICML 2026
jieyuan pei, Zhuoxuan Li, Wei Li, Haobo Zhang, jiawei jiang, Jianwei Zheng
Hyperbolic RQ-VAE enhanced Generative Recommendation with Differential-Length Codebook Strategy, ICML 2026
Aoran Zhang, Yu-Bin Yang, Yonghong Yu
Hyper-ICL: Attention Calibration with Hyperbolic Anchor Distillation for Multimodal In-Context Learning, ICML 2026
Niloufar Alipour Talemi, Hossein Kashiani, Fatemeh Afghah
Hyper-LLaVA: Hyperbolic Uncertainty-aware Modality-Balanced Routing for Multimodal Continual Instruction Tuning, ICML 2026
Kunlun Xu, YanQin Zhang, Wenwen Qiang, Jiahuan Zhou
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
Klein Hyperbolic Metric Learning, ICML 2026
Yulin Zhang, Boxuan Hu, Huimin Li, Junlin Hu
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
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
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
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
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

MIDL 2026

Hyperbolic U-Net for Robust Medical Image Segmentation, MIDL 2026
Swasti S. Mishra, Max van Spengler, Erwin Berkhout, Pascal Mettes

ACL 2026

Beyond Single-View Detection: A Dual-Space Reasoning Framework for Interpretable Harmful Meme Understanding, ACL 2026
Wenqing Hou, Hongkui Tu, Ye Wang, Yue Zhang, Yuying Liu, Dong Zhu, Liqun Gao, Bin Zhou
TellWhisper: Tell Whisper Who Speaks When, ACL 2026
Yifan Hu, Peiji Yang, Zhisheng Wang, Yicheng Zhong, Rui Liu
Query-Aware Knowledge Retrieval via Hyperbolic Structuring, ACL 2026
Chuang Zhou, Junnan Dong, Yilin Xiao, Shengyuan Chen, Su Dong, di Yin, Xing Sun, Zhaozhuo Xu, Xiao Huang
MAGIC: Deep Geometric Evolution with Structural Consensus for Temporal Knowledge Graph Reasoning, ACL 2026
Chengao Liu, Yuan Li, Yingze Wang, Jianbin Jiao
Prosody as Supervision: Bridging the Non-Verbal–Verbal for Multilingual Speech Emotion Recognition, ACL 2026
Girish, Mohd Mujtaba Akhtar, Muskaan Singh
LOTUS: Evolving Multimodal Unlearning via Hyperbolic Entailment and Lorentz Transport, ACL 2026
Zekun Wang, Jingjie Zeng, Yingxu Li, Hongfei Lin, Liang Yang

ACL Findings 2026

HypEHR: Hyperbolic Modeling of Electronic Health Records for Efficient Question Answering, Findings of ACL 2026
Yuyu Liu, Sarang Rajendra Patil, Mengjia Xu, Tengfei Ma

KDD 2026

Breaking Information Cocoons: A Hyperbolic Framework for Balancing Exploration and Exploitation in Recommender Systems, KDD 2026
Qiyao Ma, Menglin Yang, Mingxuan Ju, Tong Zhao, Neil Shah, Rex Ying
Mitigating Privacy Risks in Graph Condensation from a Hyperbolic Geometry Perspective, KDD 2026
Yuecen Wei, Liu Yang, Beining Yang, Qingyun Sun, Hao Peng, Tianyu Wo, Chunming Hu, Xingcheng Fu
Generalizing Graph Foundation Models via Hyperbolic Retrieval-Augmented Generation, KDD 2026
Yifan Jin, Qirui Ji, Bin Qin, Jiangmeng Li, Lixiang Liu, Fuchun Sun, Changwen Zheng

NeurIPS 2025

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
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
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
Hyperbolic Dataset Distillation, Code, NeurIPS 2025
Wenyuan Li, Guang Li, Keisuke Maeda, Takahiro Ogawa, Miki Haseyama
Geo-Sign: Hyperbolic Contrastive Regularisation for Geometrically Aware Sign Language Translation, Code, NeurIPS 2025
Edward Fish, Richard Bowden

NeurIPS 2025 Workshop

Hyperbolic Multimodal Representation Learning for Biological Taxonomies, NeurIPS 2025 Workshop on Imageomics
ZeMing Gong, Chuanqi Tang, Xiaoliang Huo, Nicholas Pellegrino, Austin T. Wang, Graham W. Taylor, Angel X. Chang, Scott C. Lowe, Joakim Bruslund Haurum
Hyperbolic Few-Shot Learning for Taxonomic Plant Classification, NeurIPS 2025 Workshop on Imageomics
Mithil Shah

AAAI 2026

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
Angular Gradient Sign Method: Uncovering Vulnerabilities in Hyperbolic Networks, AAAI 2026
Minsoo Jo, Dongyoon Yang, Taesup Kim
HyFI: Hyperbolic Feature Interpolation for Brain-Vision Alignment, AAAI 2026
Sangmin Jo, Wootaek Jeong, Da-Woon Heo, Yoohwan Hwang, Heung-Il Suk
Hyperbolic Hierarchical Alignment Reasoning Network for Text-3D Retrieval, AAAI 2026
Wenrui Li, Yidan Lu, Yeyu Chai, Rui Zhao, Hengyu Man, Xiaopeng Fan
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
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
FlorE: Integrating Full Lorentz Group and Directional Offsets for Effective Knowledge Graph Embedding, AAAI 2026
Zehua Duo, Jiang Li, Xiangdong Su, Guanglai Gao
Adaptive Hyperbolic Kernels: Modulated Embedding in de Branges-Rovnyak Spaces, AAAI 2026
Leping Si, Meimei Yang, Hui Xue, Shipeng Zhu, Pengfei Fang
Wasserstein-Aligned Hyperbolic Multi-View Clustering, AAAI 2026
Rui Wang, Yuting Jiang, Xiaoqing Luo, Xiao-Jun Wu, Nicu Sebe, Ziheng Chen
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

IJCAI-ECAI 2026

HiCD: Hyperbolic Insight Through Decomposed Educational Graphs for Long-Tailed Cognitive Diagnosis, IJCAI-ECAI 2026
Shengwei Ji, Wenli Wang, Yongqiang Xie, Fei Liu, Yonghui Yang

TheWebConf 2026

SLFM: Semi-Supervised Local Community Detection Based on Hyperbolic Flow Matching, TheWebConf 2026
Haixu Xiong, Li Sun, Yun Xiong, Suyang Zhou, Hongrun Ren, Yangyong Zhu
C-HyPOD: Causal Hyperbolic Learning with Prototype Orthogonal Disentanglement for Graph Out-of-Distribution Recommendation, TheWebConf 2026
Jiahao Liang, Yutian Xiao, Haoran Yang, Zhiwen Yu, Jia-Nan Liu, Kaixiang Yang
Hyperbolic Multimodal Generative Representation Learning for Generalized Zero-Shot Multimodal Information Extraction, TheWebConf 2026
Baohang Zhou, Kehui Song, Rize Jin, Yu Zhao, Xuhui Sui, Xinying Qian, Xingyue Guo, Ying Zhang

SIGIR 2026

Multi-Perspective Driven Expected Location Preferences for Next POI Recommendations, SIGIR 2026
Pengxiang Lan, Enneng Yang, Yuliang Liang, Jianzhe Zhao, Guibing Guo, Hai Zhao
StAR: Adaptive Structure-Aware Reranking for Semantic–Structural Alignment in GraphRAG, SIGIR 2026 (Short Paper)
Junghyun Oh, Sungsu Lim
HALO: Hyperbolic Adaptation via LoRA Overlay for Hierarchy-Aware Cross-Modal Retrieval, SIGIR 2026 (Short Paper)
Teng Long, Andrew Yates

WSDM 2026

PR-CapsNet: Pseudo-Riemannian Capsule Network with Adaptive Curvature Routing for Graph Learning, WSDM 2026
Ye Qin, Jingchao Wang, Yang Shi, Haiying Huang, Junxu Li, Weijian Liu, Tinghui Chen, Jinghui Qin

EMNLP 2025

HyperKGR: Knowledge Graph Reasoning in Hyperbolic Space with Graph Neural Network Encoding Symbolic Path, EMNLP 2025
Lihui Liu

EMNLP Findings 2025

Exploring Hyperbolic Hierarchical Structure for Multimodal Rumor Detection, Findings of EMNLP 2025
Md Mahbubur Rahman, Shufeng Hao, Chongyang Shi, An Lao, Jinyan Liu
Human-Inspired Obfuscation for Model Unlearning: Local and Global Strategies with Hyperbolic Representations, Findings of EMNLP 2025
Zekun Wang, Jingjie Zeng, Yingxu Li, Liang Yang, Hongfei Lin

WSDM 2025

Review-Based Hyperbolic Cross-Domain Recommendation, WSDM 2025
Yoonhyuk Choi, Jiho Choi, Taewook Ko

RecSys 2025

Learning geometry-aware recommender systems with manifold regularization, RecSys 2025 (LBR)
Zaira Zainulabidova, Julia Borisova, Alexander Hvatov
Leveraging Geometric Insights in Hyperbolic Triplet Loss for Improved Recommendations, RecSys 2025 (LBR)
Viacheslav Yusupov, Maxim Rakhuba, Evgeny Frolov

AISTATS 2025

Knowledge Graph Completion with Mixed Geometry Tensor Factorization, AISTATS 2025
Viacheslav Yusupov, Maxim Rakhuba, Evgeny Frolov
Hyperbolic Prototypical Entailment Cones for Image Classification, AISTATS 2025
Samuele Fonio, Roberto Esposito, Marco Aldinucci
Hyperboloid GPLVM for Discovering Continuous Hierarchies via Nonparametric Estimation, AISTATS 2025
Koshi Watanabe, Keisuke Maeda, Takahiro Ogawa, Miki Haseyama
Variational Combinatorial Sequential Monte Carlo for Bayesian Phylogenetics in Hyperbolic Space, AISTATS 2025
Alex Chen, Philippe Chlenski, Kenneth Munyuza, Antonio Khalil Moretti, Christian A. Naesseth, Itsik Pe'er

LoG 2025

Hyperbolic Kernel Convolution: A Generic Framework, LoG 2025
Eric Qu, Lige Zhang, Habib Debaya, Yue Wu, Dongmian Zou

KDD 2025

Understanding and Mitigating Hyperbolic Dimensional Collapse in Graph Contrastive Learning, KDD 2025
Yifei Zhang, Hao Zhu, Menglin Yang, Jiahong Liu, Rex Ying, Irwin King, Piotr Koniusz
Lorentzian Residual Neural Networks, KDD 2025
Neil He, Menglin Yang, Rex Ying
Hyperbolic Deep Learning for Foundation Models: A Survey, KDD 2025
Neil He, Hiren Madhu, Ngoc Bui, Menglin Yang, Rex Ying

ICCV 2025

Enhancing Partially Relevant Video Retrieval with Hyperbolic Learning, Code, ICCV 2025,
Jun Li, Jinpeng Wang, Chaolei Tan, Niu Lian, Long Chen, Yaowei Wang, Min Zhang, Shu-Tao Xia, Bin Chen
HypDAE: Hyperbolic Diffusion Autoencoders for Hierarchical Few-shot Image Generation, ICCV 2025
Lingxiao Li, Kaixuan Fan, Boqing Gong, Xiangyu Yue
Learning Visual Hierarchies in Hyperbolic Space for Image Retrieval, ICCV 2025
Ziwei Wang, Sameera Ramasinghe, Chenchen Xu, Julien Monteil, Loris Bazzani, Thalaiyasingam Ajanthan
Riemannian-Geometric Fingerprints of Generative Models, ICCV 2025
Hae Jin Song, Laurent Itti

ICML 2025

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
Sparse Spectral Training and Inference on Euclidean and Hyperbolic Neural Networks, ICML 2025
Jialin Zhao, Yingtao Zhang, Xinghang Li, Huaping Liu, Carlo Cannistraci
Low-distortion and GPU-compatible Tree Embeddings in Hyperbolic Space, ICML 2025
Max van Spengler, Pascal Mettes
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
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
Mixed-Curvature Decision Trees and Random Forests, ICML 2025
Philippe Chlenski, Quentin Chu, Raiyan Khan, Kaizhu Du, Antonio Moretti, Itsik Pe'er
A Mixed-Curvature based Pre-training Paradigm for Multi-Task Vehicle Routing Solver, ICML 2025
Suyu Liu, Zhiguang Cao, Shanshan Feng, Yew Soon Ong
Curvature-aware Graph Attention for PDEs on Manifolds, ICML 2025
Yunfeng Liao, Jiawen Guan, Xiucheng Li

CVPR2025

Hyperbolic Category Discovery, CVPR 2025
Yuanpei Liu, Zhenqi He, Kai Han
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
Hyperbolic Safety-Aware Vision-Language Models, CVPR 2025
Tobia Poppi, Tejaswi Kasarla, Pascal Mettes, Lorenzo Baraldi, Rita Cucchiara
Hyperbolic Uncertainty-Aware Few-Shot Incremental Point Cloud Segmentation, CVPR 2025
Tanuj Sur, Samrat Mukherjee, Kaizer Rahaman, Subhasis Chaudhuri, Muhammad Haris Khan, Biplab Banerjee
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

COLING 2025

Graph Representation Learning in Hyperbolic Space via Dual-Masked, COLING 2025
Rui Gong, Zuyun Jiang, Daren Zha
Partial Order-centered Hyperbolic Representation Learning for Few-shot Relation Extraction, COLING 2025
Biao Hu, Zhen Huang, Minghao Hu, Pinglv Yang, Peng Qiao, Yong Dou, Zhilin Wang
Jump To Hyperspace: Comparing Euclidean and Hyperbolic Loss Functions for Hierarchical Multi-Label Text Classification, COLING 2025
Jens Van Nooten, Walter Daelemans
HYDEN: Hyperbolic Density Representations for Medical Images and Reports, COLING 2025
Zhi Qiao, Linbin Han, Xiantong Zhen, Jiahong Gao, Zhen Qian

ACL Findings 2025

Multi-Hop Reasoning for Question Answering with Hyperbolic Representations, Findings of ACL 2025
Simon Welz, Lucie Flek, Akbar Karimi
Lifelong Model Editing with Graph-Based External Memory, Findings of ACL 2025
Yash Kumar Atri, Ahmed Alaa, Thomas Hartvigsen

SIGIR 2025

VoRec: Enhancing Recommendation with Voronoi Diagram in Hyperbolic Space, SIGIR 2025
Yong Chen, Li Li, Wei Peng, Songzhi Su
Large Language Models Enhanced Hyperbolic Space Recommender Systems, SIGIR 2025
Wentao Cheng, Zhida Qin, Zexue Wu, Pengzhan Zhou, Tianyu Huang
Hyperbolic Multi-Criteria Rating Recommendation, SIGIR 2025
Zhihao Guo, Ting Han, Peng Song, Chenjiao Feng, Kaixuan Yao, Jiye Liang

ICLR 2025

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
Hyperbolic Genome Embeddings, ICLR 2025
Raiyan R. Khan, Philippe Chlenski, Itsik Pe'er
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
Gyrogroup Batch Normalization, ICLR 2025
Ziheng Chen, Yue Song, Xiaojun Wu, Nicu Sebe
Spectro-Riemannian Graph Neural Networks, ICLR 2025
Karish Grover, Haiyang Yu, Xiang song, Qi Zhu, Han Xie, Vassilis N. Ioannidis, Christos Faloutsos

NeurIPS 2024

Learning Structured Representations with Hyperbolic Embeddings, NeurIPS 2024
Aditya Sinha, Siqi Zeng, Makoto Yamada, Han Zhao
Hyperbolic Embeddings of Supervised Models, NeurIPS 2024, Slides
Richard Nock, Ehsan Amid, Frank Nielsen, Alexander Soen, Manfred Warmuth
Language Models as Hierarchy Encoders, NeurIPS 2024
Yuan He, Zhangdie Yuan, Jiaoyan Chen, Ian Horrocks
Non-Euclidean Mixture Model for Social Network Embedding, NeurIPS 2024
Roshni G. Iyer, Yewen Wang, Wei Wang, Yizhou Sun

ICML 2024

Hyperbolic Active Learning for Semantic Segmentation under Domain Shift, ICML 2024
Luca Franco, Paolo Mandica, Konstantinos Kallidromitis, Devin Guillory, Yu-Teng Li, Trevor Darrell, Fabio Galasso
Hyperbolic Geometric Latent Diffusion Model for Graph Generation, ICML 2024
Xingcheng Fu · Yisen Gao · Yuecen Wei · Qingyun Sun · Hao Peng · Jianxin Li · Xianxian Li
Bringing Motion Taxonomies to Continuous Domains via GPLVM on Hyperbolic manifolds, ICML 2024
Noémie Jaquier, Leonel Rozo, Miguel González-Duque, Viacheslav Borovitskiy, Tamim Asfour
Hyperbolic Optimizer as a Dynamical System, ICML 2024
Nico Alvarado, Hans Lobel

KDD 2024

Hypformer: Exploring Efficient Hyperbolic Transformer Fully in Hyperbolic Space, KDD 2024
Menglin Yang, Harshit Verma, Delvin Ce Zhang, Jiahong Liu, Irwin King, Rex Ying
Predicting Long-term Dynamics of Complex Networks via Identifying Skeleton in Hyperbolic Space, KDD 2024
Ruikun Li, Huandong Wang, Jinghua Piao, Qingmin Liao, Yong Li
Improving Robustness of Hyperbolic Neural Networks by Lipschitz Analysis, KDD 2024
Yuekang Li*, Yidan Mao*, Yifei Yang, Dongmian Zou

WWW 2024

An Efficient Automatic Meta-Path Selection for Social Event Detection via Hyperbolic Space, WWW 2024
Zitai Qiu. Congbo Ma, Jia Wu. Jian Yang

ICLR 2024

Leveraging Hyperbolic Embeddings for Coarse-to-Fine Robot Design, ICLR 2024
Heng Dong, Junyu Zhang, Chongjie Zhang
Fully Hyperbolic Convolutional Neural Networks for Computer Vision, ICLR 2024
Ahmad Bdeir, Kristian Schwethelm, Niels Landwehr
Fast Hyperboloid Decision Tree Algorithms, ICLR 2024
Philippe Chlenski, Ethan Turok, Antonio Moretti, Itsik Pe'er
Shadow Cones: A Generalized Framework for Partial Order Embeddings, ICLR 2024
Tao Yu, Toni J.B. Liu, Albert Tseng, Christopher De Sa

SIGIR 2024

MetaHKG: Meta Hyperbolic Learning for Few-shot Temporal Reasonin, SIGIR 2024
Ruijie Wang, Yutong Zhang, Jinyang Li, Shengzhong Liu, Dachun Sun, Tianchen Wang, Tianshi Wang, Yizhuo Chen, Denizhan Kara and Tarek Abdelzaher

ICDE 2024

Logical Relation Modeling and Mining in Hyperbolic Space for Recommendation, ICDE 2024
Yanchao Tan, Hang Lv, Zihao Zhou, Wenzhong Guo, Bo Xiong, Weiming Liu, Chaochao Chen, Shiping Wang, Carl Yang

CVPR 2024

Rethinking Generalizable Face Anti-spoofing via Hierarchical Prototype-guided Distribution Refinement in Hyperbolic Space, CVPR 2024
Chengyang Hu, Ke-Yue Zhang, Taiping Yao, Shouhong Ding, Lizhuang Ma
Improving Visual Recognition with Hyperbolical Visual Hierarchy Mapping, CVPR 2024
Hyeongjun Kwon, Jinhyun Jang, Jin Kim, Kwonyoung Kim, Kwanghoon Sohn
Hyperbolic Learning with Synthetic Captions for Open-World Detection, CVPR 2024
Fanjie Kong, Yanbei Chen, Jiarui Cai, Davide Modolo
Hyperbolic Anomaly Detection, CVPR 2024
Huimin Li, Zhentao Chen, Yunhao Xu, Junlin Hu
Accept the Modality Gap: An Exploration in the Hyperbolic Space, CVPR 2024
Sameera Ramasinghe Violetta Shevchenko Gil Avraham Ajanthan Thalaiyasingam
G^3-LQ: Marrying Hyperbolic Alignment with Explicit Semantic-Geometric Modeling for 3D Visual Grounding, CVPR 2024
Yuan Wang, Yali Li, Shengjin Wang

Citation

@misc{yang2026hyperbolic,
  title  = {{A Survey of Non-Euclidean Geometric Learning from Hyperbolic to Mixed-Curvature Spaces}},
  author = {Yang, Menglin and Liu, Zihao and Liu, Jiahong and Li, Jindong and
            Cao, Linxiao and Zhang, Buze and King, Irwin},
  year   = {2026},
  url    = {https://openreview.net/forum?id=cpqHCXXZcr}
}

Awesome-Hyperbolic-Representation-and-Deep-Learning

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