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Recent research has shown that alignment between the structure of graph data and the geometry of an embedding space is crucial for learning high-quality representations of the data. The uniform geometry of Euclidean and hyperbolic spaces…

Machine Learning · Computer Science 2023-06-27 Wei Zhao , Federico Lopez , J. Maxwell Riestenberg , Michael Strube , Diaaeldin Taha , Steve Trettel

Diffusion generative models (DMs) have achieved promising results in image and graph generation. However, real-world graphs, such as social networks, molecular graphs, and traffic graphs, generally share non-Euclidean topologies and hidden…

Machine Learning · Computer Science 2024-01-04 Lingfeng Wen , Xuan Tang , Mingjie Ouyang , Xiangxiang Shen , Jian Yang , Daxin Zhu , Mingsong Chen , Xian Wei

Hyperbolic neural networks have been popular in the recent past due to their ability to represent hierarchical data sets effectively and efficiently. The challenge in developing these networks lies in the nonlinearity of the embedding space…

Machine Learning · Computer Science 2021-12-08 Xiran Fan , Chun-Hao Yang , Baba C. Vemuri

Data across modalities such as images, text, and graphs often contains hierarchical and relational structures, which are challenging to model within Euclidean geometry. Hyperbolic geometry provides a natural framework for representing such…

Computer Vision and Pattern Recognition · Computer Science 2026-01-28 Haya Alyoussef , Ahmad Bdeir , Diego Coello de Portugal Mecke , Tom Hanika , Niels Landwehr , Lars Schmidt-Thieme

Knowledge Graph Embeddings (KGEs) have shown promising performance on link prediction tasks by mapping the entities and relations from a knowledge graph into a geometric space (usually a vector space). Ultimately, the plausibility of the…

Machine Learning · Computer Science 2020-10-20 Mojtaba Nayyeri , Chengjin Xu , Jens Lehmann , Sahar Vahdati

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

Recent research in representation learning has shown that hierarchical data lends itself to low-dimensional and highly informative representations in hyperbolic space. However, even if hyperbolic embeddings have gathered attention in image…

Computer Vision and Pattern Recognition · Computer Science 2023-09-20 Gabriel Moreira , Manuel Marques , João Paulo Costeira , Alexander Hauptmann

Detecting events and their evolution through time is a crucial task in natural language understanding. Recent neural approaches to event temporal relation extraction typically map events to embeddings in the Euclidean space and train a…

Computation and Language · Computer Science 2024-06-11 Xingwei Tan , Gabriele Pergola , Yulan He

We study the problem of embedding-based entity alignment between knowledge graphs (KGs). Previous works mainly focus on the relational structure of entities. Some further incorporate another type of features, such as attributes, for…

Artificial Intelligence · Computer Science 2019-06-07 Qingheng Zhang , Zequn Sun , Wei Hu , Muhao Chen , Lingbing Guo , Yuzhong Qu

Knowledge graph (KG) entity typing aims at inferring possible missing entity type instances in KG, which is a very significant but still under-explored subtask of knowledge graph completion. In this paper, we propose a novel approach for KG…

Computation and Language · Computer Science 2020-07-22 Yu Zhao , Anxiang Zhang , Ruobing Xie , Kang Liu , Xiaojie Wang

Multi-hop logical reasoning is an established problem in the field of representation learning on knowledge graphs (KGs). It subsumes both one-hop link prediction as well as other more complex types of logical queries. Existing algorithms…

Artificial Intelligence · Computer Science 2022-09-07 Dimitrios Alivanistos , Max Berrendorf , Michael Cochez , Mikhail Galkin

Knowledge Graphs (KGs) are composed of structured information about a particular domain in the form of entities and relations. In addition to the structured information KGs help in facilitating interconnectivity and interoperability between…

Artificial Intelligence · Computer Science 2020-05-15 Genet Asefa Gesese , Russa Biswas , Mehwish Alam , Harald Sack

While numerous approaches have been developed to embed graphs into either Euclidean or hyperbolic spaces, they do not fully utilize the information available in graphs, or lack the flexibility to model intrinsic complex graph geometry. To…

Machine Learning · Computer Science 2020-10-26 Shichao Zhu , Shirui Pan , Chuan Zhou , Jia Wu , Yanan Cao , Bin Wang

A fundamental task for knowledge graphs (KGs) is knowledge graph completion (KGC). It aims to predict unseen edges by learning representations for all the entities and relations in a KG. A common concern when learning representations on…

Machine Learning · Computer Science 2023-02-13 Harry Shomer , Wei Jin , Wentao Wang , Jiliang Tang

Learning good image representations that are beneficial to downstream tasks is a challenging task in computer vision. As such, a wide variety of self-supervised learning approaches have been proposed. Among them, contrastive learning has…

Computer Vision and Pattern Recognition · Computer Science 2023-02-06 Yun Yue , Fangzhou Lin , Kazunori D Yamada , Ziming Zhang

Heterogeneous graphs (HGs) also known as heterogeneous information networks have become ubiquitous in real-world scenarios; therefore, HG embedding, which aims to learn representations in a lower-dimension space while preserving the…

Social and Information Networks · Computer Science 2020-12-02 Xiao Wang , Deyu Bo , Chuan Shi , Shaohua Fan , Yanfang Ye , Philip S. Yu

Functional magnetic resonance imaging (fMRI) reveals complex brain functional networks with hierarchical topologies crucial for cognitive processing. Standard Euclidean Graph Neural Networks (GNNs) often struggle to represent these…

Computer Vision and Pattern Recognition · Computer Science 2026-03-03 Junhao Jia , Yunyou Liu , Cheng Yang , Yifei Sun , Feiwei Qin , Changmiao Wang , Yong Peng

In this paper, we present a method of embedding physics data manifolds with metric structure into lower dimensional spaces with simpler metrics, such as Euclidean and Hyperbolic spaces. We then demonstrate that it can be a powerful step in…

High Energy Physics - Phenomenology · Physics 2023-08-02 Sang Eon Park , Philip Harris , Bryan Ostdiek

Knowledge graphs (KGs) have gained prominence for their ability to learn representations for uni-relational facts. Recently, research has focused on modeling hyper-relational facts, which move beyond the restriction of uni-relational facts…

Machine Learning · Computer Science 2022-08-31 Harry Shomer , Wei Jin , Juanhui Li , Yao Ma , Jiliang Tang

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