Awesome Hyperbolic Representation Learning
About 9 min
Awesome Hyperbolic Representation Learning
A curated list of resources dedicated to hyperbolic representation learning and its applications across various domains. Hyperbolic spaces are particularly suited for representing hierarchical data and tree-like structures, offering advantages over Euclidean embeddings for many complex data types.
Table of Contents
- Awesome Hyperbolic Representation Learning
Surveys and Tutorials
- Awesome-Hyperbolic-Representation-and-Deep-Learning - Comprehensive survey of hyperbolic representation learning methods
- Hyperbolic Collection - A collection of papers on Hyperbolic embedding and Hyperbolic Neural Network
- ECCV 2022 Tutorial - Hyperbolic Representation Learning for Computer Vision (ECCV 2022)
- Hyperbolic Graph Learning - A tutorial site for hyperbolic graph representation learning
Frameworks and Libraries
- GraphZoo - A framework that systematizes learning, using, and designing graph processing pipelines/models
- Hyperbolic Geometry Library - Python library for generating hyperbolic geometry and drawing with drawsvg (Poincaré disk and half-plane models)
Core Methods
Fundamental techniques and approaches for learning in hyperbolic spaces
- Poincaré Embeddings - Poincaré embeddings for learning hierarchical representations (2017)
- Hyperbolic Cones - Hyperbolic Entailment Cones for Learning Hierarchical Embeddings (ICML 2018)
- Hyperbolics - Representation Tradeoffs for Hyperbolic Embeddings and Mixed-Curvature Representations in Product Spaces
- HoroPCA - Hyperbolic Dimensionality Reduction via Horospherical Projections (ICML 2021)
- Hyperbolic Neural Networks++ - Enhanced hyperbolic neural networks (ICLR 2021)
- QH-Optim - Quasi-hyperbolic momentum and Adam for deep learning (ICLR 2019)
- Hyperbolic Busemann Learning - Hyperbolic Busemann Learning with Ideal Prototypes (NeurIPS 2021)
- Unsupervised Hyperbolic Metric Learning - UnHyperML: Unsupervised Hyperbolic Metric Learning (CVPR 2021)
Computer Vision
Applications of hyperbolic geometry in computer vision tasks
- Hyperbolic Image Embeddings - Hyperbolic Image Embeddings (CVPR 2020)
- Hyperbolic Image Segmentation - Hyperbolic Image Segmentation (CVPR 2022)
- Hyperbolic CV - Fully Hyperbolic Convolutional Neural Networks for Computer Vision (ICLR 2024)
- Hyperbolic Chamfer Distance - Hyperbolic Chamfer Distance for Point Cloud Completion (ICCV 2023)
- HyCoRe - Rethinking the compositionality of point clouds through regularization in the hyperbolic space (NeurIPS 2022)
- Hyperbolic ZSL - Hyperbolic Visual Embedding Learning for Zero-Shot Recognition (CVPR 2020)
- HypLiLoc - HypLiLoc: Towards Effective LiDAR Pose Regression with Hyperbolic Fusion (CVPR 2023)
- HPR - Hyperbolic Prototype Rectification for Few-Shot 3D Point Cloud Classification (PR 2025)
- Tree-Changes-Detection - Deep Change Monitoring: A Hyperbolic Representative Learning Framework and a Dataset for Long-term Fine-grained Tree Change Detection (arXiv 2025)
- HyperbolicReasoning - Robust Hierarchical Symbolic Explanations in Hyperbolic Space for Image Classification (CVPR Workshop 2023)
- HHCH - Exploring Hierarchical Information in Hyperbolic Space for Self-Supervised Image Hashing (TIP 2024)
Natural Language Processing
Hyperbolic embeddings for language understanding and processing
- HypEmo - Label-Aware Hyperbolic Embeddings for Fine-grained Emotion Classification (ACL 2023)
- HyperMatch - Hyperbolic Relevance Matching for Neural Keyphrase Extraction (NAACL 2022)
- Hyperbolic Label Embeddings - Joint Learning of Hyperbolic Label Embeddings for Hierarchical Multi-label Classification (EACL 2021)
- Hyphen - Discourse-Aware Hyperbolic Fourier Co-Attention for Social-Text Classification (NeurIPS 2022)
- Fine-Grained Entity Typing - Fine-Grained Entity Typing in Hyperbolic Space (ACL 2019)
- HyperIM - Hyperbolic Interaction Model For Hierarchical Multi-Label Classification
- Poincare Probe - Probing BERT in Hyperbolic Spaces (ICLR 2021)
- HyperQA - Hyperbolic Representation Learning for Fast and Efficient Neural Question Answering (WSDM 2018)
- CoSyn - CoSyn: Detecting Implicit Hate Speech in Online Conversations Using a Context Synergized Hyperbolic Network (EMNLP 2023)
- hHTM - Hierarchical Topic Modeling via Contrastive Learning and Hyperbolic Embedding (COLING'24)
Graph Representation Learning
Methods for representing graph structures in hyperbolic spaces
- HGCN - Hyperbolic Graph Convolutional Networks in PyTorch
- LSEnet - Lorentz Structural Entropy Neural Network for Deep Graph Clustering
- HypDiff - Hyperbolic Geometric Latent Diffusion Model for Graph Generation (ICML 2024)
- DiskNet - Predicting Long-term Dynamics of Complex Networks via Identifying Skeleton in Hyperbolic Space (KDD 2024)
- HHNE - Hyperbolic Heterogeneous Information Network Embedding (AAAI 2019)
- HTGN - Discrete-time Temporal Network Embedding via Implicit Hierarchical Learning in Hyperbolic Space (KDD 2021)
- Hyperbolic Hierarchical Clustering - Gradient-based Hierarchical Clustering using Continuous Representations of Trees in Hyperbolic Space (KDD 2019)
- SHAN - Simplicial Hyperbolic Attention Network (CIKM 2023)
- STGN - Scalable and Effective Temporal Graph Representation Learning With Hyperbolic Geometry (TNNLS 2024)
Recommendation Systems
Hyperbolic approaches for recommendation and collaborative filtering
- HCMKR - Hyperbolic Contrastive Learning with Model-Augmentation for Knowledge-Aware Recommendation (ECML-PKDD 2024)
- Hyperbolic Recommenders - Hyperbolic (ordinary and variational) autoencoders for recommender systems (ACM RecSys 2020)
- HGCF - HGCF: Hyperbolic Graph Convolution Networks for Collaborative Filtering
- LGCF - Fully Hyperbolic Graph Convolution Network for Recommendation (CIKM 2021)
Multimodal Learning
Applying hyperbolic geometry to multiple modalities
- Meru - Hyperbolic Image-Text Representations (ICML 2023)
- HyperVD - Learning Weakly Supervised Audio-Visual Violence Detection in Hyperbolic Space
- HyCoClip - Compositional Entailment Learning for Hyperbolic Vision-Language Models (ICLR 2024)
Reinforcement Learning
Hyperbolic spaces in reinforcement learning
- Hyperbolic-RL - 🌟 Hyperbolic reinforcement learning minimal repository
Clustering and Classification
Hyperbolic approaches to clustering and classification tasks
- HALO - Hyperbolic Active Learning for Semantic Segmentation under Domain Shift (ICML 2024)
Other Applications
Additional applications of hyperbolic representation learning across various fields
Top-Tier Conferences
NeurIPS
- HyperbolicTiling_Learning - Numerically Accurate Hyperbolic Embeddings Using Tiling-Based Models (NeurIPS 2019)
- Hyperbolic_Feature_Augmentation - Hyperbolic Feature Augmentation via Distribution Estimation and Infinite Sampling on Manifolds (NeurIPS 2022)
- GM-VAE - Hyperbolic VAE via Latent Gaussian Distributions (NeurIPS 2023)
- HMI - Hyperbolic Embedding Inference for Structured Multi-Label Prediction (NeurIPS 2022)
- HyperbolicProcrustesAnalysis - Hyperbolic Procrustes Analysis Using Riemannian Geometry (NeurIPS 2021)
- HypStructure - Learning Structured Representations with Hyperbolic Embeddings (NeurIPS 2024)
CVPR/ICCV/ECCV
- DiffUDF - Differentiable Unsigned Distance Fields with Hyperbolic Scaling (CVPR 2024)
- CO-SNE - CO-SNE: Dimensionality Reduction and Visualization for Hyperbolic Data (CVPR 2022)
- hype - HYPE: Hyperbolic Entailment Filtering for Underspecified Images and Texts (ECCV 2020)
- hyperbolic_action - Searching for actions on the hyperbole (CVPR 2020)
- HAE - The Euclidean Space is Evil: Hyperbolic Attribute Editing for Few-shot Image Generation (ICCV 2023)
- HySAC - 🌟 Hyperbolic Safety-Aware Vision-Language Models (CVPR 2025)
ICML/ICLR
- disk-embedding - Hyperbolic Disk Embeddings for Directed Acyclic Graphs (ICML 2019)
- LorentzianDistanceRetrieval - Lorentzian Distance Learning for Hyperbolic Representations (ICML 2019)
- HYSP - Hyperbolic Self-paced Learning for Self-supervised Skeleton-based Action Representations (ICLR 2023)
- ShadowCones - Shadow Cones: Unveiling Partial Orders in Hyperbolic Space (ICLR 2024)
- Hyperbolic-Normalizing-Flows-ICML-2020 - Hyperbolic Normalizing Flows (ICML 2020)
- hyperbolic-gplvms - Gaussian process hyperbolic latent variable models (ICML 2024)
- HIE - Hyperbolic Representation Learning: Revisiting and Advancing (ICML 2023)
- HyperbolicSpatialPropagation - Learning Affinity with Hyperbolic Representation for Spatial Propagation (ICML 2023)
KDD/WWW/WSDM
- Amazon Hyperbolic Embeddings - Self-Supervised Hyperboloid Representations from Logical Queries over Knowledge Graphs (WWW 2021) and ANTHEM: Attentive Hyperbolic Entity Model for Product Search (WSDM 2022)
- Hyper-stockgat-www - Exploring the Scale-Free Nature of Stock Markets: Hyperbolic Graph Learning for Algorithmic Trading (WWW 2021)
- hyperbolic-distance-matrices - Hyperbolic Distance Matrices (KDD 2020)
- HyperAid - HyperAid: Denoising in hyperbolic spaces for tree-fitting and hierarchical clustering (KDD 2022)
- HICF - Hyperbolic Informative Collaborative Filtering (KDD 2022)
- HRCF - HRCF: Enhancing Collaborative Filtering via Hyperbolic Geometric Regularization (WWW 2022)
- hgtm - Hyperbolic Graph Topic Modeling Network with Continuously Updated Topic Tree (KDD 2023)
- HISum - HISum: Hyperbolic Interaction Model for Extractive Multi-Document Summarization (WWW 2023)
- Hyperbolic Transformer - Hypformer: Exploring Efficient Hyperbolic Transformer Fully in Hyperbolic Space (KDD 2024)
AAAI/IJCAI
- HDAE - HDAE: Hyperbolic Disentangled Representation for Fine-Grained Aspect Extraction (AAAI 2022)
- hyperbolic_heterogeneous - Embedding Heterogeneous Networks into Hyperbolic Space Without Meta-path (AAAI 2021)
- HGDM - Hyperbolic Graph Diffusion Model (AAAI 2024)
- Hyp-OW - Hyp-OW: Exploiting Hierarchical Structure Learning with Hyperbolic Distance Enhances Open World Object Detection (AAAI 2024)
ACL
- hyhtm - HyHTM: Hyperbolic Geometry Based Hierarchical Topic Models (ACL 2023)
EMNLP/NAACL
- HyperKA - Knowledge Association with Hyperbolic Knowledge Graph Embeddings (EMNLP 2020)
- hyfi - A Fully Hyperbolic Neural Model for Hierarchical Multi-class Classification (EMNLP 2020)
- hyper-event-TempRel - Poincaré Event Temporal Embeddings and Hyperbolic GRU for Event TempRel Extraction (EMNLP 2021)
- HyperExpan - HyperExpan: Taxonomy Expansion with Hyperbolic Representation Learning (EMNLP 2021)
- ComplexHyperbolicKGE - Complex Hyperbolic Knowledge Graph Embeddings with Fast Fourier Transform (EMNLP 2022)
CIKM/SIGIR
- hyperbolic_struct - Embedding Node Structural Role Identity into Hyperbolic Space (CIKM 2020)
- HyperSiameseNet - A Preliminary Exploration of Extractive Multi-Document Summarization in Hyperbolic Space (CIKM 2022)
Other Academic Publications
Transactions Journals
- HAT - Hyperbolic Graph Attention Network (Transactions on Big Data 2021)
- sherbet - Self-supervised graph learning with hyperbolic embedding for temporal health event prediction (IEEE Transactions on Cybernetics 2023)
- TMLR - Intriguing Properties of Hyperbolic Embeddings in Vision-Language Models (TMLR 2024)
- hyperbolic_federated_classification - Federated Classification in Hyperbolic Spaces via Secure Aggregation of Convex Hulls (TMLR 2024)
- HoroRF - Hyperbolic Random Forests (Transactions on Machine Learning Research 2024)
- SIHG - Interpretable Signed Link Prediction with Signed Infomax Hyperbolic Graph (TKDE 2021)
- HGSR - Hyperbolic Graph Learning for Social Recommendation (TKDE 2023)
- hyperbolic-tsne - Accelerating hyperbolic t-SNE (TCVG 2024)
- HECPG - HECPG: Hyperbolic Embedding and Confident Patch-Guided Network for Point Cloud Matching (TGRS 2024)
Computer Graphics & Robotics
- HGF - A Hyperbolic Geometric Flow for Evolving Films and Foams (SIGGRAPH Asia 2017)
- hyp2nav - 🌟 Hyp²Nav: Hyperbolic Planning and Curiosity for Crowd Navigation (IROS 2024)
- HyperFLAW - When Cars meet Drones: Hyperbolic Federated Learning for Source-Free Domain Adaptation in Adverse Weather (WACV 2025)
- hyper - Hyperbolic vs Euclidean Embeddings in Few-Shot Learning: Two Sides of the Same Coin (WACV 2024)
Audio & Signal Processing
- Hyper-Unmix - Hyperbolic Audio Source Separation (ICASSP 2023)
Other Venues
- Hyperbolic-Generative-Adversarial-Network - Hyperbolic Generative Adversarial Network (IEEE Access 2021)
- pvae - Continuous Hierarchical Representations with Poincaré Variational Auto-Encoders
- Hyperbolic_Sliced-Wasserstein_via_Geodesic_and_Horospherical_Projections - Hyperbolic Sliced-Wasserstein via Geodesic and Horospherical Projections (PMLR 2023)
- hyp-oc - Hyp-OC : Hyperbolic One Class Classification for Face Anti-Spoofing (FG 2024)
- hilbert-contrastive-learning - Hyperbolic Contrastive Learning for Document Representations (ECAI 2024)
Tools & Libraries
Software tools and libraries for working with hyperbolic spaces
- PoincareMaps - Poincare maps recover continuous hierarchies in single-cell data
- hyperbolic_llm - Code for Hyperbolic Pre-Trained Language Model (TASLP)
- hyperbolicvit - Hyperbolic Transformer for Image Classification
- Hipe - 🔧 Hipe is a Python tool that visualizes drawings in hyperbolic space using the native representation
- dibujos_hiperbolicos - A python tool to create drawings in the hyperbolic disk
- hyperbolic-image-embeddings - Hyperbolic Image Embeddings
- PyHyperbolic3D - Python stuff for drawing 3D hyperbolic polyhedra with 'PyVista'
- confmap - Conformal mappings and hyperbolic tessalations with Python
- Mercator - A tool for visualizing generative models in 3D hyperbolic space
- hyperbolic-wythoff - A toolkit to draw uniform tilings in hyperbolic plane by wythoff construction
- HyperbolicLR - HyperbolicLR: Epoch Insensitive Learning Rate Scheduler
- HypMaps - Python package to map points from Euclidean to Hyperbolic space
- hypdelta - Tool for computing delta-hyperbolicity on distance matrix
- Proseminar-SS21-Hyperbolic-Tiling - Draw tilings and graph embeddings in the hyperbolic plane
- hyperbolic-tree-of-life.github.io - d3-hypertree demo with Open Tree of Life data set
- HyperbolicChessTrainer - Auto trains LLM models to play chess by having them simulate the game board in hyperbolic space
- Hyperbolic-GeometPy - GUI for Hyperbolic Geometry using Python, PyQt and pyqtgraph
- pytorch_hyperbolic - Implementation of hyperbolic NNs and GNNs
- Hyperbolic-Kernel-Convolution - Hyperbolic Kernel Convolution: A Generic Framework
Preprints & Others
Preprints, work in progress, and other resources
- HyperKG - HyperKG: Hyperbolic Knowledge Graph Embeddings for Knowledge Base Completion
- HyperMiner - HyperMiner: Topic Taxonomy Mining with Hyperbolic Embedding
- Hyperbolic-Embedding - Learning neural network embeddings in hyperbolic spaces
- HyLa - Laplacian Features for Learning with Hyperbolic Space
- HypLLM - Hyperbolic Fine-tuning for LLMs
- HGRAM - Hyperbolic Graph Neural Networks at Scale: A Meta Learning Approach
- Hyperbolic-VAE-with-Ranking-Loss
- LKGR - Modeling Scale-free Graphs with Hyperbolic Geometry for Knowledge-aware Recommendation
- hgcn - Hyperbolic Graph Convolutional Neural Networks (NIPS 2019)
- geometry_tools - Tools for working numerically with hyperbolic space and projective geometry
- HC-GLAD - Dual Hyperbolic Contrastive Learning for Unsupervised Graph-Level Anomaly Detection
- hyperbolic-properties - Why are hyperbolic neural networks effective? A study on hierarchical representation capability (ICLR 2024 reject)
- HyperLearning_Paperlist - List of papers about hyperbolic enhanced representation learning and its applications
- HERec - Breaking Information Cocoons: A Hyperbolic Graph-LLM Framework for Exploration and Exploitation in Recommender Systems (arXiv 2024)
- Hyperbolic-Prompt-Learning - Hyperbolic Representations for Prompt Learning (Coling 2024 under review)
- hyperbolic_hhne - Hyperbolic Heterogeneous Information Network Embedding (AAAI 2019)
- hyperbolic_vae - Variational Autoencoder with Hyperbolic Latent Space in PyTorch
- hsvm - Python implementation of hyperbolic SVM, as introduced in Large-Margin Classification in Hyperbolic Space
- HyperIMBA - Hyperbolic Geometric Graph Representation Learning for Hierarchy-imbalance Node Classification
- hc_embedding - Machine learning meets complex networks via coalescent embedding in the hyperbolic space
- HyperA - Hyperbolic Neural Networks implementation using Poincare Ball model
- QANet - QANET: COMBINING LOCAL CONVOLUTION WITH GLOBAL SELF-ATTENTION FOR READING COMPREHENSION (ICLR 2018)
- Hyperbolics - A Gentle Introduction to Hyperbolic Neural Networks (Tutorial)
Contributing
Contributions to this list are welcome! Please feel free to submit a pull request with additional resources, corrections, or improvements.
Citation
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License
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