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Geometric embedding methods have shown to be useful for multi-hop reasoning on knowledge graphs by mapping entities and logical operations to geometric regions and geometric transformations, respectively. Geometric embeddings provide direct…

Artificial Intelligence · Computer Science 2025-05-20 Fernando Zhapa-Camacho , Robert Hoehndorf

Knowledge graph (KG) reasoning is an important problem for knowledge graphs. In this paper, we propose a novel and principled framework called \textbf{RulE} (stands for {Rul}e {E}mbedding) to effectively leverage logical rules to enhance KG…

Artificial Intelligence · Computer Science 2024-05-21 Xiaojuan Tang , Song-Chun Zhu , Yitao Liang , Muhan Zhang

Knowledge graph embedding (KGE) that maps entities and relations into vector representations is essential for downstream applications. Conventional KGE methods require high-dimensional representations to learn the complex structure of…

Machine Learning · Computer Science 2024-09-04 Borui Cai , Yong Xiang , Longxiang Gao , Di Wu , He Zhang , Jiong Jin , Tom Luan

Geospatial Knowledge Graphs (GeoKGs) model geoentities (e.g., places and natural features) and spatial relationships in an interconnected manner, providing strong knowledge support for geographic applications, including data retrieval,…

Artificial Intelligence · Computer Science 2024-10-25 Lei Hu , Wenwen Li , Yunqiang Zhu

A Knowledge Graph (KG) is the directed graphical representation of entities and relations in the real world. KG can be applied in diverse Natural Language Processing (NLP) tasks where knowledge is required. The need to scale up and complete…

Computation and Language · Computer Science 2024-04-19 Xincan Feng , Zhi Qu , Yuchang Cheng , Taro Watanabe , Nobuhiro Yugami

Link prediction on knowledge graphs (KGs) has been extensively studied on binary relational KGs, wherein each fact is represented by a triple. A significant amount of important knowledge, however, is represented by hyper-relational facts…

Artificial Intelligence · Computer Science 2023-06-06 Bo Xiong , Mojtaba Nayyer , Shirui Pan , Steffen Staab

Embedding-based methods for reasoning in knowledge hypergraphs learn a representation for each entity and relation. Current methods do not capture the procedural rules underlying the relations in the graph. We propose a simple…

Machine Learning · Computer Science 2021-02-19 Bahare Fatemi , Perouz Taslakian , David Vazquez , David Poole

Knowledge graphs are inherently incomplete. Therefore substantial research has been directed toward knowledge graph completion (KGC), i.e., predicting missing triples from the information represented in the knowledge graph (KG). KG…

Machine Learning · Computer Science 2023-03-23 Aleksandar Pavlović , Emanuel Sallinger

Knowledge graph embedding aims at offering a numerical knowledge representation paradigm by transforming the entities and relations into continuous vector space. However, existing methods could not characterize the knowledge graph in a fine…

Artificial Intelligence · Computer Science 2017-06-20 Han Xiao , Minlie Huang , Xiaoyan Zhu

Knowledge graph embedding (KGE) methods aim to represent entities and relations in a continuous space while preserving their structural and semantic properties. Quaternion-based KGEs have demonstrated strong potential in capturing complex…

Machine Learning · Computer Science 2025-04-22 Hamideh-Sadat Fazael-Ardakani , Hamid Soltanian-Zadeh

Knowledge Graphs (KGs) store human knowledge in the form of entities (nodes) and relations, and are used extensively in various applications. KG embeddings are an effective approach to addressing tasks like knowledge discovery, link…

Artificial Intelligence · Computer Science 2025-02-03 Ioannis Reklos , Jacopo de Berardinis , Elena Simperl , Albert Meroño-Peñuela

Knowledge graphs (KGs) consisting of triples are always incomplete, so it's important to do Knowledge Graph Completion (KGC) by predicting missing triples. Multi-Source KG is a common situation in real KG applications which can be viewed as…

Computation and Language · Computer Science 2020-10-27 Mingyang Chen , Wen Zhang , Zonggang Yuan , Yantao Jia , Huajun Chen

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

Embedding knowledge graphs (KGs) for multi-hop logical reasoning is a challenging problem due to massive and complicated structures in many KGs. Recently, many promising works projected entities and queries into a geometric space to…

Machine Learning · Computer Science 2023-04-25 Dong Yang , Peijun Qing , Yang Li , Haonan Lu , Xiaodong Lin

Translation, rotation, and scaling are three commonly used geometric manipulation operations in image processing. Besides, some of them are successfully used in developing effective knowledge graph embedding (KGE) models such as TransE and…

Artificial Intelligence · Computer Science 2022-07-13 Xiou Ge , Yun-Cheng Wang , Bin Wang , C. -C. Jay Kuo

Knowledge graph embedding aims at translating the knowledge graph into numerical representations by transforming the entities and relations into continuous low-dimensional vectors. Recently, many methods [1, 5, 3, 2, 6] have been proposed…

Artificial Intelligence · Computer Science 2017-04-06 Xiao-Fan Niu , Wu-Jun Li

Knowledge graphs (KGs) play a crucial role in many applications, such as question answering, but incompleteness is an urgent issue for their broad application. Much research in knowledge graph completion (KGC) has been performed to resolve…

Artificial Intelligence · Computer Science 2023-01-10 Yinyu Lan , Shizhu He , Kang Liu , Jun Zhao

Knowledge graph embedding (KGE) relies on the geometry of the embedding space to encode semantic and structural relations. Existing methods place all entities on one homogeneous manifold, Euclidean, spherical, hyperbolic, or their…

Machine Learning · Computer Science 2025-12-11 Zhengquan Luo , Guy Tadmor , Or Amar , David Zeevi , Zhiqiang Xu

Knowledge Graph Embedding (KGE) has proven to be an effective approach to solving the Knowledge Graph Completion (KGC) task. Relational patterns which refer to relations with specific semantics exhibiting graph patterns are an important…

Artificial Intelligence · Computer Science 2023-08-16 Long Jin , Zhen Yao , Mingyang Chen , Huajun Chen , Wen Zhang

Knowledge graph embedding (KGE) models are extensively studied for knowledge graph completion, yet their evaluation remains constrained by unrealistic benchmarks. Standard evaluation metrics rely on the closed-world assumption, which…

Machine Learning · Computer Science 2025-06-11 Nasim Shirvani-Mahdavi , Farahnaz Akrami , Chengkai Li