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Hyperbolic space and hyperbolic embeddings are becoming a popular research field for recommender systems. However, it is not clear under what circumstances the hyperbolic space should be considered. To fill this gap, This paper provides…

Information Retrieval · Computer Science 2022-01-26 Sixiao Zhang , Hongxu Chen , Xiao Ming , Lizhen Cui , Hongzhi Yin , Guandong Xu

Recent studies have demonstrated the potential of hyperbolic geometry for capturing complex patterns from interaction data in recommender systems. In this work, we introduce a novel hyperbolic recommendation model that uses geometrical…

Information Retrieval · Computer Science 2025-08-19 Viacheslav Yusupov , Maxim Rakhuba , Evgeny Frolov

In this work, we propose a fashion item recommendation model that incorporates hyperbolic geometry into user and item representations. Using hyperbolic space, our model aims to capture implicit hierarchies among items based on their visual…

Information Retrieval · Computer Science 2024-09-05 Ryotaro Shimizu , Yu Wang , Masanari Kimura , Yuki Hirakawa , Takashi Wada , Yuki Saito , Julian McAuley

Metric learning plays a critical role in training image retrieval and classification. It is also a key algorithm in representation learning, e.g., for feature learning and its alignment in metric space. Hyperbolic embedding has been…

Computer Vision and Pattern Recognition · Computer Science 2023-10-24 Shiyang Yan , Zongxuan Liu , Lin Xu

Metric learning aims to learn a highly discriminative model encouraging the embeddings of similar classes to be close in the chosen metrics and pushed apart for dissimilar ones. The common recipe is to use an encoder to extract embeddings…

Computer Vision and Pattern Recognition · Computer Science 2022-03-23 Aleksandr Ermolov , Leyla Mirvakhabova , Valentin Khrulkov , Nicu Sebe , Ivan Oseledets

Large Language Models (LLMs) have attracted significant attention in recommender systems for their excellent world knowledge capabilities. However, existing methods that rely on Euclidean space struggle to capture the rich hierarchical…

Information Retrieval · Computer Science 2025-04-22 Wentao Cheng , Zhida Qin , Zexue Wu , Pengzhan Zhou , Tianyu Huang

With the prevalence of online social media, users' social connections have been widely studied and utilized to enhance the performance of recommender systems. In this paper, we explore the use of hyperbolic geometry for social…

Information Retrieval · Computer Science 2021-02-19 Anchen Li , Bo Yang

Representing data in hyperbolic space can effectively capture latent hierarchical relationships. With the goal of enabling accurate classification of points in hyperbolic space while respecting their hyperbolic geometry, we introduce…

Machine Learning · Computer Science 2018-06-04 Hyunghoon Cho , Benjamin DeMeo , Jian Peng , Bonnie Berger

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…

Information Retrieval · Computer Science 2019-02-26 Benjamin Paul Chamberlain , Stephen R. Hardwick , David R. Wardrope , Fabon Dzogang , Fabio Daolio , Saúl Vargas

In recent years, there has been a growing trend of incorporating hyperbolic geometry methods into computer vision. While these methods have achieved state-of-the-art performance on various metric learning tasks using hyperbolic distance…

Computer Vision and Pattern Recognition · Computer Science 2024-05-06 Yun Yue , Fangzhou Lin , Guanyi Mou , Ziming Zhang

In large-scale recommender systems, the user-item networks are generally scale-free or expand exponentially. The latent features (also known as embeddings) used to describe the user and item are determined by how well the embedding space…

Information Retrieval · Computer Science 2022-05-31 Menglin Yang , Min Zhou , Jiahong Liu , Defu Lian , Irwin King

We introduce a simple autoencoder based on hyperbolic geometry for solving standard collaborative filtering problem. In contrast to many modern deep learning techniques, we build our solution using only a single hidden layer. Remarkably,…

Information Retrieval · Computer Science 2020-08-18 Leyla Mirvakhabova , Evgeny Frolov , Valentin Khrulkov , Ivan Oseledets , Alexander Tuzhilin

Hyperbolic spaces have recently gained momentum in the context of machine learning due to their high capacity and tree-likeliness properties. However, the representational power of hyperbolic geometry is not yet on par with Euclidean…

Machine Learning · Computer Science 2018-06-29 Octavian-Eugen Ganea , Gary Bécigneul , Thomas Hofmann

In the era of foundation models and Large Language Models (LLMs), Euclidean space is the de facto geometric setting of our machine learning architectures. However, recent literature has demonstrated that this choice comes with fundamental…

Computational Geometry · Computer Science 2025-05-21 Menglin Yang , Yifei Zhang , Jialin Chen , Melanie Weber , Rex Ying

Embedding the data in hyperbolic spaces can preserve complex relationships in very few dimensions, thus enabling compact models and improving efficiency of machine learning (ML) algorithms. The underlying idea is that hyperbolic…

Machine Learning · Computer Science 2025-01-14 Vladimir Jaćimović

Considering the prevalence of the power-law distribution in user-item networks, hyperbolic space has attracted considerable attention and achieved impressive performance in the recommender system recently. The advantage of hyperbolic…

Information Retrieval · Computer Science 2022-07-20 Menglin Yang , Zhihao Li , Min Zhou , Jiahong Liu , Irwin King

Learning good image representations that are beneficial to downstream tasks is a challenging task in computer vision. As such, a wide variety of self-supervised learning approaches have been proposed. Among them, contrastive learning has…

Computer Vision and Pattern Recognition · Computer Science 2023-02-06 Yun Yue , Fangzhou Lin , Kazunori D Yamada , Ziming Zhang

Machine unlearning methods have become increasingly important for selective concept removal in large pre-trained models. While recent work has explored unlearning in Euclidean contrastive vision-language models, the effectiveness of concept…

Computer Vision and Pattern Recognition · Computer Science 2025-04-15 Àlex Pujol Vidal , Sergio Escalera , Kamal Nasrollahi , Thomas B. Moeslund

This paper explores the use of hyperbolic geometry and deep learning techniques for recommendation. We present Hyperbolic Neural Collaborative Recommender (HNCR), a deep hyperbolic representation learning method that exploits mutual…

Information Retrieval · Computer Science 2021-04-16 Anchen Li , Bo Yang , Hongxu Chen , Guandong Xu

3D-aware visual pretraining has proven effective in improving the performance of downstream robotic manipulation tasks. However, existing methods are constrained to Euclidean embedding spaces, whose flat geometry limits their ability to…

Robotics · Computer Science 2026-03-13 Jin Yang , Ping Wei , Yixin Chen , Nanning Zheng
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