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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

Embedding methods transform the knowledge graph into a continuous, low-dimensional space, facilitating inference and completion tasks. Existing methods are mainly divided into two types: translational distance models and semantic matching…

Information Retrieval · Computer Science 2025-03-11 Deepak Banerjee , Anjali Ishaan

Knowledge graphs are essential for numerous downstream natural language processing applications, but are typically incomplete with many facts missing. This results in research efforts on multi-hop reasoning task, which can be formulated as…

Artificial Intelligence · Computer Science 2021-09-03 Yao Zhang , Hongru Liang , Adam Jatowt , Wenqiang Lei , Xin Wei , Ning Jiang , Zhenglu Yang

Knowledge graph is a popular format for representing knowledge, with many applications to semantic search engines, question-answering systems, and recommender systems. Real-world knowledge graphs are usually incomplete, so knowledge graph…

Machine Learning · Computer Science 2023-04-26 Hung Nghiep Tran , Atsuhiro Takasu

Multi-hop question answering over knowledge graphs remains computationally challenging due to the combinatorial explosion of possible reasoning paths. Recent approaches rely on expensive Large Language Model (LLM) inference for both entity…

Computation and Language · Computer Science 2025-11-26 Manil Shrestha , Edward Kim

The cascade of 2D geometric transformations were exploited to model relations between entities in a knowledge graph (KG), leading to an effective KG embedding (KGE) model, CompoundE. Furthermore, the rotation in the 3D space was proposed as…

Artificial Intelligence · Computer Science 2023-04-04 Xiou Ge , Yun-Cheng Wang , Bin Wang , C. -C. Jay Kuo

Representation learning of knowledge graphs encodes entities and relation types into a continuous low-dimensional vector space, learns embeddings of entities and relation types. Most existing methods only concentrate on knowledge triples,…

Artificial Intelligence · Computer Science 2017-04-20 Mengya Wang , Hankui Zhuo , Huiling Zhu

Knowledge graph embedding (KGE) is an increasingly popular technique that aims to represent entities and relations of knowledge graphs into low-dimensional semantic spaces for a wide spectrum of applications such as link prediction,…

Machine Learning · Computer Science 2023-10-17 Jiahang Cao , Jinyuan Fang , Zaiqiao Meng , Shangsong Liang

Knowledge graphs (KGs) consisting of a large number of triples have become widespread recently, and many knowledge graph embedding (KGE) methods are proposed to embed entities and relations of a KG into continuous vector spaces. Such…

Machine Learning · Computer Science 2022-05-09 Mingyang Chen , Wen Zhang , Yushan Zhu , Hongting Zhou , Zonggang Yuan , Changliang Xu , Huajun Chen

Learning representations of multimodal data that are both informative and robust to missing modalities at test time remains a challenging problem due to the inherent heterogeneity of data obtained from different channels. To address it, we…

Machine Learning · Computer Science 2022-11-21 Petra Poklukar , Miguel Vasco , Hang Yin , Francisco S. Melo , Ana Paiva , Danica Kragic

We introduce a novel embedding method diverging from conventional approaches by operating within function spaces of finite dimension rather than finite vector space, thus departing significantly from standard knowledge graph embedding…

Machine Learning · Statistics 2024-09-25 Louis Mozart Kamdem Teyou , Caglar Demir , Axel-Cyrille Ngonga Ngomo

Knowledge graph representation learning approaches provide a mapping between symbolic knowledge in the form of triples in a knowledge graph (KG) and their feature vectors. Knowledge graph embedding (KGE) models often represent relations in…

Machine Learning · Computer Science 2025-07-18 Kossi Amouzouvi , Bowen Song , Andrea Coletta , Luigi Bellomarini , Jens Lehmann , Sahar Vahdati

Multi-hop reasoning (MHR) is a process in artificial intelligence and natural language processing where a system needs to make multiple inferential steps to arrive at a conclusion or answer. In the context of knowledge graphs or databases,…

Artificial Intelligence · Computer Science 2024-06-13 Jesmin Jahan Tithi , Fabio Checconi , Fabrizio Petrini

Many graph embedding approaches have been proposed for knowledge graph completion via link prediction. Among those, translating embedding approaches enjoy the advantages of light-weight structure, high efficiency and great interpretability.…

Computation and Language · Computer Science 2020-10-13 Hao Huang , Guodong Long , Tao Shen , Jing Jiang , Chengqi Zhang

Knowledge graph embeddings (KGE) have been extensively studied to embed large-scale relational data for many real-world applications. Existing methods have long ignored the fact many KGs contain two fundamentally different views: high-level…

Artificial Intelligence · Computer Science 2023-07-06 Zijie Huang , Daheng Wang , Binxuan Huang , Chenwei Zhang , Jingbo Shang , Yan Liang , Zhengyang Wang , Xian Li , Christos Faloutsos , Yizhou Sun , Wei Wang

AI-driven geometric problem solving is a complex vision-language task that requires accurate diagram interpretation, mathematical reasoning, and robust cross-modal grounding. A foundational yet underexplored capability for this task is the…

Machine Learning · Computer Science 2025-09-26 Bing Liu , Wenqiang Yv , Xuzheng Yang , Shichang Wang , Junzhuo Liu , Peng Wang , Guoqing Wang , Yang Yang , Heng Tao Shen

Capturing the composition patterns of relations is a vital task in knowledge graph completion. It also serves as a fundamental step towards multi-hop reasoning over learned knowledge. Previously, several rotation-based translational methods…

Artificial Intelligence · Computer Science 2022-01-12 Haonan Lu , Hailin Hu , Xiaodong Lin

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) techniques play a pivotal role in transforming symbolic Knowledge Graphs (KGs) into numerical representations, thereby enhancing various deep learning models for knowledge-augmented applications. Unlike…

Machine Learning · Computer Science 2025-03-24 Guanglin Niu

Learning embeddings of entities and relations is an efficient and versatile method to perform machine learning on relational data such as knowledge graphs. In this work, we propose holographic embeddings (HolE) to learn compositional vector…

Artificial Intelligence · Computer Science 2015-12-08 Maximilian Nickel , Lorenzo Rosasco , Tomaso Poggio