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Learning embeddings of entities and relations existing in knowledge bases allows the discovery of hidden patterns in data. In this work, we examine the geometrical space's contribution to the task of knowledge base completion. We focus on…

Computation and Language · Computer Science 2019-08-20 Prodromos Kolyvakis , Alexandros Kalousis , Dimitris Kiritsis

The main objective of Knowledge Graph (KG) embeddings is to learn low-dimensional representations of entities and relations, enabling the prediction of missing facts. A significant challenge in achieving better KG embeddings lies in…

Computation and Language · Computer Science 2024-02-06 Yihua Zhu , Hidetoshi Shimodaira

Capturing associations for knowledge graphs (KGs) through entity alignment, entity type inference and other related tasks benefits NLP applications with comprehensive knowledge representations. Recent related methods built on Euclidean…

Computation and Language · Computer Science 2020-10-06 Zequn Sun , Muhao Chen , Wei Hu , Chengming Wang , Jian Dai , Wei Zhang

Knowledge graphs have emerged as fundamental structures for representing complex relational data across scientific and enterprise domains. However, existing embedding methods face critical limitations when modeling diverse relationship…

Artificial Intelligence · Computer Science 2025-11-17 Jugal Gajjar , Kaustik Ranaware , Kamalasankari Subramaniakuppusamy , Vaibhav Gandhi

Recent knowledge graph embedding (KGE) models based on hyperbolic geometry have shown great potential in a low-dimensional embedding space. However, the necessity of hyperbolic space in KGE is still questionable, because the calculation…

Artificial Intelligence · Computer Science 2021-10-26 Kai Wang , Yu Liu , Dan Lin , Quan Z. Sheng

Aiming to alleviate data sparsity and cold-start problems of traditional recommender systems, incorporating knowledge graphs (KGs) to supplement auxiliary information has recently gained considerable attention. Via unifying the KG with…

Information Retrieval · Computer Science 2022-01-04 Yankai Chen , Menglin Yang , Yingxue Zhang , Mengchen Zhao , Ziqiao Meng , Jianye Hao , Irwin King

Knowledge graph (KG) embeddings learn low-dimensional representations of entities and relations to predict missing facts. KGs often exhibit hierarchical and logical patterns which must be preserved in the embedding space. For hierarchical…

Machine Learning · Computer Science 2020-05-05 Ines Chami , Adva Wolf , Da-Cheng Juan , Frederic Sala , Sujith Ravi , Christopher Ré

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

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

Learning hyperbolic embeddings for knowledge graph (KG) has gained increasing attention due to its superiority in capturing hierarchies. However, some important operations in hyperbolic space still lack good definitions, making existing…

Machine Learning · Computer Science 2023-02-09 Wentao Shi , Junkang Wu , Xuezhi Cao , Jiawei Chen , Wenqiang Lei , Wei Wu , Xiangnan He

The choice of geometric space for knowledge graph (KG) embeddings can have significant effects on the performance of KG completion tasks. The hyperbolic geometry has been shown to capture the hierarchical patterns due to its tree-like…

Machine Learning · Computer Science 2022-11-08 Huiru Xiao , Xin Liu , Yangqiu Song , Ginny Y. Wong , Simon See

Introducing prior auxiliary information from the knowledge graph (KG) to assist the user-item graph can improve the comprehensive performance of the recommender system. Many recent studies show that the ensemble properties of hyperbolic…

Information Retrieval · Computer Science 2023-03-21 Bosong Huang , Weihao Yu , Ruzhong Xie , Jing Xiao , Jin Huang

Performing link prediction using knowledge graph embedding models has become a popular approach for knowledge graph completion. Such models employ a transformation function that maps nodes via edges into a vector space in order to measure…

Artificial Intelligence · Computer Science 2021-03-16 Mojtaba Nayyeri , Sahar Vahdati , Can Aykul , Jens Lehmann

Hyperbolic neural networks have shown great potential for modeling complex data. However, existing hyperbolic networks are not completely hyperbolic, as they encode features in a hyperbolic space yet formalize most of their operations in…

Computation and Language · Computer Science 2022-03-17 Weize Chen , Xu Han , Yankai Lin , Hexu Zhao , Zhiyuan Liu , Peng Li , Maosong Sun , Jie Zhou

Hyperbolic embeddings have recently gained attention in machine learning due to their ability to represent hierarchical data more accurately and succinctly than their Euclidean analogues. However, multi-relational knowledge graphs often…

Machine Learning · Computer Science 2019-10-29 Ivana Balažević , Carl Allen , Timothy Hospedales

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

Hierarchical relations are prevalent and indispensable for organizing human knowledge captured by a knowledge graph (KG). The key property of hierarchical relations is that they induce a partial ordering over the entities, which needs to be…

Machine Learning · Computer Science 2021-11-02 Yushi Bai , Rex Ying , Hongyu Ren , Jure Leskovec

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 space is quickly gaining traction as a promising geometry for hierarchical and robust representation learning. A core open challenge is the development of a mathematical formulation of hyperbolic neural networks that is both…

Machine Learning · Computer Science 2026-01-30 Robert van der Klis , Ricardo Chávez Torres , Max van Spengler , Yuhui Ding , Thomas Hofmann , Pascal Mettes

We study the problem of learning representations of entities and relations in knowledge graphs for predicting missing links. The success of such a task heavily relies on the ability of modeling and inferring the patterns of (or between) the…

Machine Learning · Computer Science 2019-02-28 Zhiqing Sun , Zhi-Hong Deng , Jian-Yun Nie , Jian Tang
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