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Related papers: HyperExpan: Taxonomy Expansion with Hyperbolic Rep…

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Recently, there has been an interest in embedding networks in hyperbolic space, since hyperbolic space has been shown to work well in capturing graph/network structure as it can naturally reflect some properties of complex networks.…

Social and Information Networks · Computer Science 2020-11-04 Lili Wang , Ying Lu , Chenghan Huang , Soroush Vosoughi

Retrieval-augmented generation (RAG) for biomedical knowledge faces a hierarchy-aware ontology grounding challenge: resources like HPO, DO, and MeSH use deep ``is-a" taxonomies, yet production stacks rely on Euclidean embeddings and ANN…

Information Retrieval · Computer Science 2026-04-14 Ou Deng , Shoji Nishimura , Atsushi Ogihara , Qun Jin

Learning the representation of data with hierarchical structures in the hyperbolic space attracts increasing attention in recent years. Due to the constant negative curvature, the hyperbolic space resembles tree metrics and captures the…

Machine Learning · Computer Science 2022-02-21 Huiru Xiao , Caigao Jiang , Yangqiu Song , James Zhang , Junwu Xiong

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…

Computer Vision and Pattern Recognition · Computer Science 2022-12-02 Songwei Ge , Shlok Mishra , Simon Kornblith , Chun-Liang Li , David Jacobs

Hypernymy plays a fundamental role in many AI tasks like taxonomy learning, ontology learning, etc. This has motivated the development of many automatic identification methods for extracting this relation, most of which rely on word…

Computation and Language · Computer Science 2024-09-02 Maulik Parmar , Apurva Narayan

Graph convolutional neural networks (GCNs) embed nodes in a graph into Euclidean space, which has been shown to incur a large distortion when embedding real-world graphs with scale-free or hierarchical structure. Hyperbolic geometry offers…

Machine Learning · Computer Science 2019-10-30 Ines Chami , Rex Ying , Christopher Ré , Jure Leskovec

Recently, hyperbolic space has risen as a promising alternative for semi-supervised graph representation learning. Many efforts have been made to design hyperbolic versions of neural network operations. However, the inspiring geometric…

Machine Learning · Computer Science 2022-01-24 Jiahong Liu , Menglin Yang , Min Zhou , Shanshan Feng , Philippe Fournier-Viger

Knowledge hypergraphs generalize knowledge graphs using hyperedges to connect multiple entities and depict complicated relations. Existing methods either transform hyperedges into an easier-to-handle set of binary relations or view…

Machine Learning · Computer Science 2024-12-18 Mengfan Li , Xuanhua Shi , Chenqi Qiao , Teng Zhang , Hai Jin

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

Estimating the individual treatment effect (ITE) from observational data is a crucial research topic that holds significant value across multiple domains. How to identify hidden confounders poses a key challenge in ITE estimation. Recent…

Machine Learning · Computer Science 2024-01-15 Ziqiang Cui , Xing Tang , Yang Qiao , Bowei He , Liang Chen , Xiuqiang He , Chen Ma

Taxonomy is a hierarchically structured knowledge graph that plays a crucial role in machine intelligence. The taxonomy expansion task aims to find a position for a new term in an existing taxonomy to capture the emerging knowledge in the…

Computation and Language · Computer Science 2022-04-27 Suyuchen Wang , Ruihui Zhao , Xi Chen , Yefeng Zheng , Bang Liu

Hierarchical data is common in many domains like life sciences and e-commerce, and its embeddings often play a critical role. While hyperbolic embeddings offer a theoretically grounded approach to representing hierarchies in low-dimensional…

Machine Learning · Computer Science 2026-04-15 Hui Yang , Jiaoyan Chen

Representation learning over temporal networks has drawn considerable attention in recent years. Efforts are mainly focused on modeling structural dependencies and temporal evolving regularities in Euclidean space which, however,…

Social and Information Networks · Computer Science 2023-01-31 Menglin Yang , Min Zhou , Marcus Kalander , Zengfeng Huang , Irwin King

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

Many complex networks exhibit hierarchical, tree-like structures, making hyperbolic space a natural candidate wherein to learn representations of them. Based on this observation, Hyperbolic Graph Neural Networks (HGNNs) have been widely…

Machine Learning · Computer Science 2026-05-15 Dionisia Naddeo , Jonas Linkerhägner , Nicola Toschi , Geri Skenderi , Veronica Lachi

Representing graphs as sets of node embeddings in certain curved Riemannian manifolds has recently gained momentum in machine learning due to their desirable geometric inductive biases, e.g., hierarchical structures benefit from hyperbolic…

Machine Learning · Computer Science 2020-06-09 Calin Cruceru , Gary Bécigneul , Octavian-Eugen Ganea

Language models are increasingly applied to biological sequences like proteins and mRNA, yet their default Euclidean geometry may mismatch the hierarchical structures inherent to biological data. While hyperbolic geometry provides a better…

Machine Learning · Computer Science 2025-11-05 Max van Spengler , Artem Moskalev , Tommaso Mansi , Mangal Prakash , Rui Liao

Taxonomies are of great value to many knowledge-rich applications. As the manual taxonomy curation costs enormous human effects, automatic taxonomy construction is in great demand. However, most existing automatic taxonomy construction…

Computation and Language · Computer Science 2019-10-21 Jiaming Shen , Zeqiu Wu , Dongming Lei , Chao Zhang , Xiang Ren , Michelle T. Vanni , Brian M. Sadler , Jiawei Han

Knowledge graph embeddings (KGE) have been validated as powerful methods for inferring missing links in knowledge graphs (KGs) that they typically map entities into Euclidean space and treat relations as transformations of entities.…

Machine Learning · Computer Science 2024-02-26 Wenjie Zheng , Wenxue Wang , Shu Zhao , Fulan Qian

Scene graph representations enable structured visual understanding by modeling objects and their relationships, and have been widely used for multiview and 3D scene reasoning. Existing methods such as MSG learn scene graph embeddings in…

Computer Vision and Pattern Recognition · Computer Science 2026-04-21 Liyang Wang , Zeyu Zhang , Hao Tang