Scalable Hyperbolic Recommender Systems
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Abstract (arXiv)
We present a large scale hyperbolic recommender system. We discuss why hyperbolic geometry is a more suitable underlying geometry for many recommendation systems and cover the fundamental milestones and insights that we have gained from its development. In doing so, we demonstrate the viability of hyperbolic geometry for recommender systems, showing that they significantly outperform Euclidean models on datasets with the properties of complex networks. Key to the success of our approach are the novel choice of underlying hyperbolic model and the use of the Einstein midpoint to define an asymmetric recommender system in hyperbolic space. These choices allow us to scale to millions of users and hundreds of thousands of items.
Key facts. Cited by 19 papers in the map (data through 7 Oct 2026). First posted on arXiv 22 Feb 2019.
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Citing papers per year: 2021: 6; 2022: 3; 2023: 3; 2024: 2; 2025: 4; 2026: 1.
19 papers.
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- 2021Hyperbolic Deep Neural Networks: A Surveycited by 138
- 2023Hyperbolic Deep Learning in Computer Vision: A Surveycited by 72
- 2022The Numerical Stability of Hyperbolic Representation Learningcited by 46
- 2021Where are we in embedding spaces? A Comprehensive Analysis on Network Embedding Approaches for Recommender Systemscited by 24
- 2024A Fashion Item Recommendation Model in Hyperbolic Spacecited by 7
- 2021HSR: Hyperbolic Social Recommendercited by 5
- 2021tensorflow-riemopt: A Library for Optimization on Riemannian Manifoldscited by 5
- 2021HCGR: Hyperbolic Contrastive Graph Representation Learning for Session-based Recommendationcited by 4
- 2022AMCAD: Adaptive Mixed-Curvature Representation based Advertisement Retrieval Systemcited by 4
- 2023SINCERE: Sequential Interaction Networks representation learning on Co-Evolving RiEmannian manifoldscited by 4
- 2021Augmenting the User-Item Graph with Textual Similarity Modelscited by 3
- 2022Poincar'e Heterogeneous Graph Neural Networks for Sequential Recommendationcited by 2
7 more
- 2023Time-aware Hyperbolic Graph Attention Network for Session-based Recommendationcited by 2
- 2025A group-theoretic framework for machine learning in hyperbolic spacescited by 2
- 2025Hyperbolic Residual Quantization: Discrete Representations for Data with Latent Hierarchiescited by 1
- 2024Reinforcement Learning in Hyperbolic Spaces: Models and Experimentscited by 0
- 2025Cartan Networks: Group theoretical Hyperbolic Deep Learningcited by 0
- 2025Leveraging Geometric Insights in Hyperbolic Triplet Loss for Improved Recommendationscited by 0
- 2026Riemannian Dueling Optimizationcited by 0
- 2026Riemannian Dueling Optimization3 Feb 2026
- 2025Leveraging Geometric Insights in Hyperbolic Triplet Loss for Improved Recommendations16 Aug 2025
- 2025Cartan Networks: Group theoretical Hyperbolic Deep Learning30 May 2025
- 2025Hyperbolic Residual Quantization: Discrete Representations for Data with Latent Hierarchies18 May 2025
- 2025A group-theoretic framework for machine learning in hyperbolic spaces12 Jan 2025
- 2024Reinforcement Learning in Hyperbolic Spaces: Models and Experiments12 Oct 2024
- 2024A Fashion Item Recommendation Model in Hyperbolic Space4 Sep 2024
- 2023Hyperbolic Deep Learning in Computer Vision: A Survey11 May 2023
- 2023SINCERE: Sequential Interaction Networks representation learning on Co-Evolving RiEmannian manifolds6 May 2023
- 2023Time-aware Hyperbolic Graph Attention Network for Session-based Recommendation10 Jan 2023
- 2022The Numerical Stability of Hyperbolic Representation Learning31 Oct 2022
- 2022Poincar'e Heterogeneous Graph Neural Networks for Sequential Recommendation16 May 2022
7 more
- 2022AMCAD: Adaptive Mixed-Curvature Representation based Advertisement Retrieval System28 Mar 2022
- 2021Augmenting the User-Item Graph with Textual Similarity Models20 Sep 2021
- 2021HCGR: Hyperbolic Contrastive Graph Representation Learning for Session-based Recommendation6 Jul 2021
- 2021tensorflow-riemopt: A Library for Optimization on Riemannian Manifolds27 May 2021
- 2021Where are we in embedding spaces? A Comprehensive Analysis on Network Embedding Approaches for Recommender Systems19 May 2021
- 2021HSR: Hyperbolic Social Recommender15 Feb 2021
- 2021Hyperbolic Deep Neural Networks: A Survey12 Jan 2021
- 2021Hyperbolic Deep Neural Networks: A Surveycited by 138
- 2023Hyperbolic Deep Learning in Computer Vision: A Surveycited by 72
- 2022The Numerical Stability of Hyperbolic Representation Learningcited by 46
- 2021Where are we in embedding spaces? A Comprehensive Analysis on Network Embedding Approaches for Recommender Systemscited by 24
- 2024A Fashion Item Recommendation Model in Hyperbolic Spacecited by 7
- 2021HSR: Hyperbolic Social Recommendercited by 5
- 2021tensorflow-riemopt: A Library for Optimization on Riemannian Manifoldscited by 5
- 2021HCGR: Hyperbolic Contrastive Graph Representation Learning for Session-based Recommendationcited by 4
- 2022AMCAD: Adaptive Mixed-Curvature Representation based Advertisement Retrieval Systemcited by 4
- 2023SINCERE: Sequential Interaction Networks representation learning on Co-Evolving RiEmannian manifoldscited by 4
- 2021Augmenting the User-Item Graph with Textual Similarity Modelscited by 3
- 2022Poincar'e Heterogeneous Graph Neural Networks for Sequential Recommendationcited by 2
12 most cited of 19 All 19 (JSON)
- 2026Riemannian Dueling Optimization3 Feb 2026
- 2025Leveraging Geometric Insights in Hyperbolic Triplet Loss for Improved Recommendations16 Aug 2025
- 2025Cartan Networks: Group theoretical Hyperbolic Deep Learning30 May 2025
- 2025Hyperbolic Residual Quantization: Discrete Representations for Data with Latent Hierarchies18 May 2025
- 2025A group-theoretic framework for machine learning in hyperbolic spaces12 Jan 2025
- 2024Reinforcement Learning in Hyperbolic Spaces: Models and Experiments12 Oct 2024
- 2024A Fashion Item Recommendation Model in Hyperbolic Space4 Sep 2024
- 2023Hyperbolic Deep Learning in Computer Vision: A Survey11 May 2023
- 2023SINCERE: Sequential Interaction Networks representation learning on Co-Evolving RiEmannian manifolds6 May 2023
- 2023Time-aware Hyperbolic Graph Attention Network for Session-based Recommendation10 Jan 2023
- 2022The Numerical Stability of Hyperbolic Representation Learning31 Oct 2022
- 2022Poincar'e Heterogeneous Graph Neural Networks for Sequential Recommendation16 May 2022
12 newest of 19 All 19 (JSON)