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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…

信息检索 · 计算机科学 2025-08-19 Viacheslav Yusupov , Maxim Rakhuba , Evgeny Frolov

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…

信息检索 · 计算机科学 2019-12-02 Lucas Vinh Tran , Yi Tay , Shuai Zhang , Gao Cong , Xiaoli Li

Label inventories for fine-grained entity typing have grown in size and complexity. Nonetheless, they exhibit a hierarchical structure. Hyperbolic spaces offer a mathematically appealing approach for learning hierarchical representations of…

计算与语言 · 计算机科学 2020-10-06 Federico López , Michael Strube

Although self-/un-supervised methods have led to rapid progress in visual representation learning, these methods generally treat objects and scenes using the same lens. In this paper, we focus on learning representations for objects and…

计算机视觉与模式识别 · 计算机科学 2022-12-02 Songwei Ge , Shlok Mishra , Simon Kornblith , Chun-Liang Li , David Jacobs

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…

信息检索 · 计算机科学 2022-07-20 Menglin Yang , Zhihao Li , Min Zhou , Jiahong Liu , Irwin King

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…

计算机视觉与模式识别 · 计算机科学 2022-03-23 Aleksandr Ermolov , Leyla Mirvakhabova , Valentin Khrulkov , Nicu Sebe , Ivan Oseledets

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…

计算机视觉与模式识别 · 计算机科学 2024-05-06 Yun Yue , Fangzhou Lin , Guanyi Mou , Ziming Zhang

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…

计算机视觉与模式识别 · 计算机科学 2023-10-24 Shiyang Yan , Zongxuan Liu , Lin Xu

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…

信息检索 · 计算机科学 2022-01-26 Sixiao Zhang , Hongxu Chen , Xiao Ming , Lizhen Cui , Hongzhi Yin , Guandong Xu

Due to its geometric properties, hyperbolic space can support high-fidelity embeddings of tree- and graph-structured data, upon which various hyperbolic networks have been developed. Existing hyperbolic networks encode geometric priors not…

机器学习 · 计算机科学 2023-03-14 Tao Yu , Christopher De Sa

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…

Object detection, for the most part, has been formulated in the euclidean space, where euclidean or spherical geodesic distances measure the similarity of an image region to an object class prototype. In this work, we study whether a…

计算机视觉与模式识别 · 计算机科学 2022-03-21 Christopher Lang , Alexander Braun , Abhinav Valada

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…

机器学习 · 计算机科学 2018-06-29 Octavian-Eugen Ganea , Gary Bécigneul , Thomas Hofmann

Recently, there has been a surge of interest in representation learning in hyperbolic spaces, driven by their ability to represent hierarchical data with significantly fewer dimensions than standard Euclidean spaces. However, the viability…

机器学习 · 计算机科学 2022-11-02 Melanie Weber , Manzil Zaheer , Ankit Singh Rawat , Aditya Menon , Sanjiv Kumar

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…

社会与信息网络 · 计算机科学 2021-08-19 Yicong Li , Hongxu Chen , Xiangguo Sun , Zhenchao Sun , Lin Li , Lizhen Cui , Philip S. Yu , Guandong Xu

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.…

信息检索 · 计算机科学 2021-08-11 Liping Wang , Fenyu Hu , Shu Wu , Liang Wang

Hyperbolic representations are effective in modeling knowledge graph data which is prevalently used to facilitate multi-hop reasoning. However, a rigorous and detailed comparison of the two spaces for this task is lacking. In this paper,…

计算与语言 · 计算机科学 2025-07-08 Simon Welz , Lucie Flek , Akbar Karimi

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…

机器学习 · 计算机科学 2025-06-09 Ngoc Bui , Menglin Yang , Runjin Chen , Leonardo Neves , Mingxuan Ju , Rex Ying , Neil Shah , Tong Zhao

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…

信息检索 · 计算机科学 2022-08-03 Yiding Zhang , Chaozhuo Li , Senzhang Wang , Jianxun Lian , Xing Xie

Natural language text exhibits hierarchical structure in a variety of respects. Ideally, we could incorporate our prior knowledge of this hierarchical structure into unsupervised learning algorithms that work on text data. Recent work by…

计算与语言 · 计算机科学 2018-06-13 Bhuwan Dhingra , Christopher J. Shallue , Mohammad Norouzi , Andrew M. Dai , George E. Dahl
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