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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

This paper investigates the notion of learning user and item representations in non-Euclidean space. Specifically, we study the connection between metric learning in hyperbolic space and collaborative filtering by exploring Mobius…

Information Retrieval · Computer Science 2019-12-02 Lucas Vinh Tran , Yi Tay , Shuai Zhang , Gao Cong , Xiaoli Li

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

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

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

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

Graph-based collaborative filtering is capable of capturing the essential and abundant collaborative signals from the high-order interactions, and thus received increasingly research interests. Conventionally, the embeddings of users and…

Information Retrieval · Computer Science 2022-08-03 Yiding Zhang , Chaozhuo Li , Senzhang Wang , Jianxun Lian , Xing Xie

Hyperbolic geometry has recently found applications in social networks, machine learning and computational biology. With the increasing popularity, questions about the best representations of hyperbolic spaces arise, as each representation…

Numerical Analysis · Mathematics 2024-04-16 Dorota Celinska-Kopczynska , Eryk Kopczynski

Backward compatible representation learning enables updated models to integrate seamlessly with existing ones, avoiding to reprocess stored data. Despite recent advances, existing compatibility approaches in Euclidean space neglect the…

Machine Learning · Computer Science 2025-06-09 Ngoc Bui , Menglin Yang , Runjin Chen , Leonardo Neves , Mingxuan Ju , Rex Ying , Neil Shah , Tong Zhao

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

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

Modeling user interests is crucial in real-world recommender systems. In this paper, we present a new user interest representation model for personalized recommendation. Specifically, the key novelty behind our model is that it explicitly…

Information Retrieval · Computer Science 2020-11-12 Shuai Zhang , Huoyu Liu , Aston Zhang , Yue Hu , Ce Zhang , Yumeng Li , Tanchao Zhu , Shaojian He , Wenwu Ou

Recently, Graph Convolution Network (GCN) based methods have achieved outstanding performance for recommendation. These methods embed users and items in Euclidean space, and perform graph convolution on user-item interaction graphs.…

Information Retrieval · Computer Science 2021-08-11 Liping Wang , Fenyu Hu , Shu Wu , Liang Wang

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

Data representation in non-Euclidean spaces has proven effective for capturing hierarchical and complex relationships in real-world datasets. Hyperbolic spaces, in particular, provide efficient embeddings for hierarchical structures. This…

Computer Vision and Pattern Recognition · Computer Science 2024-09-27 Jacob Fein-Ashley , Ethan Feng , Minh Pham

Recent papers in the graph machine learning literature have introduced a number of approaches for hyperbolic representation learning. The asserted benefits are improved performance on a variety of graph tasks, node classification and link…

Machine Learning · Computer Science 2025-02-26 Isay Katsman , Anna Gilbert

Hyperbolic embeddings are a class of representation learning methods that offer competitive performances when data can be abstracted as a tree-like graph. However, in practice, learning hyperbolic embeddings of hierarchical data is…

Machine Learning · Computer Science 2024-07-24 Zhangyu Wang , Lantian Xu , Zhifeng Kong , Weilong Wang , Xuyu Peng , Enyang Zheng

Learning in hyperbolic spaces has attracted increasing attention due to its superior ability to model hierarchical structures of data. Most existing hyperbolic learning methods use fixed distance measures for all data, assuming a uniform…

Computer Vision and Pattern Recognition · Computer Science 2025-06-24 Pengxiang Li , Yuwei Wu , Zhi Gao , Xiaomeng Fan , Wei Wu , Zhipeng Lu , Yunde Jia , Mehrtash Harandi

Hypergraphs have been becoming a popular choice to model complex, non-pairwise, and higher-order interactions for recommender system. However, compared with traditional graph-based methods, the constructed hypergraphs are usually much…

Social and Information Networks · Computer Science 2021-08-19 Yicong Li , Hongxu Chen , Xiangguo Sun , Zhenchao Sun , Lin Li , Lizhen Cui , Philip S. Yu , Guandong Xu

The non-Euclidean geometry of hyperbolic spaces has recently garnered considerable attention in the realm of representation learning. Current endeavors in hyperbolic representation largely presuppose that the underlying hierarchies can be…

Machine Learning · Computer Science 2023-06-16 Menglin Yang , Min Zhou , Rex Ying , Yankai Chen , Irwin King
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