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Relational representation learning transforms relational data into continuous and low-dimensional vector representations. However, vector-based representations fall short in capturing crucial properties of relational data that are complex…

Machine Learning · Computer Science 2024-09-25 Bo Xiong

We consider the task of inferring is-a relationships from large text corpora. For this purpose, we propose a new method combining hyperbolic embeddings and Hearst patterns. This approach allows us to set appropriate constraints for…

Computation and Language · Computer Science 2019-02-05 Matt Le , Stephen Roller , Laetitia Papaxanthos , Douwe Kiela , Maximilian Nickel

Learning graph representations via low-dimensional embeddings that preserve relevant network properties is an important class of problems in machine learning. We here present a novel method to embed directed acyclic graphs. Following prior…

Machine Learning · Computer Science 2018-06-08 Octavian-Eugen Ganea , Gary Bécigneul , Thomas Hofmann

Graph-structured data are widespread in real-world applications, such as social networks, recommender systems, knowledge graphs, chemical molecules etc. Despite the success of Euclidean space for graph-related learning tasks, its ability to…

Machine Learning · Computer Science 2022-11-09 Min Zhou , Menglin Yang , Lujia Pan , Irwin King

In this work we study the topological properties of temporal hypergraphs. Hypergraphs provide a higher dimensional generalization of a graph that is capable of capturing multi-way connections. As such, they have become an integral part of…

Computational Geometry · Computer Science 2023-02-07 Audun Myers , Cliff Joslyn , Bill Kay , Emilie Purvine , Gregory Roek , Madelyn Shapiro

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

Temporal knowledge graphs represent temporal facts $(s,p,o,\tau)$ relating a subject $s$ and an object $o$ via a relation label $p$ at time $\tau$, where $\tau$ could be a time point or time interval. Temporal knowledge graphs may exhibit…

Artificial Intelligence · Computer Science 2023-12-27 Jiaxin Pan , Mojtaba Nayyeri , Yinan Li , Steffen Staab

Graph representation learning in Euclidean space, despite its widespread adoption and proven utility in many domains, often struggles to effectively capture the inherent hierarchical and complex relational structures prevalent in real-world…

Machine Learning · Computer Science 2025-08-26 Menglin Yang , Min Zhou , Tong Zhang , Jiahong Liu , Zhihao Li , Lujia Pan , Hui Xiong , Irwin King

Recent work has demonstrated that embeddings of tree-like graphs in hyperbolic space surpass their Euclidean counterparts in performance by a large margin. Inspired by these results and scale-free structure in the word co-occurrence graph,…

Computation and Language · Computer Science 2019-05-28 Matthias Leimeister , Benjamin J. Wilson

Slot attention has emerged as a powerful framework for unsupervised object-centric learning, decomposing visual scenes into a small set of compact vector representations called \emph{slots}, each capturing a distinct region or object.…

Computer Vision and Pattern Recognition · Computer Science 2026-03-31 Neelu Madan , Àlex Pujol , Andreas Møgelmose , Sergio Escalera , Kamal Nasrollahi , Graham W. Taylor , Thomas B. Moeslund

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

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

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

Deep Learning is mostly responsible for the surge of interest in Artificial Intelligence in the last decade. So far, deep learning researchers have been particularly successful in the domain of image processing, where Convolutional Neural…

Machine Learning · Computer Science 2023-08-31 Andrii Skliar , Maurice Weiler

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

Object detection, for the most part, has been formulated in the euclidean space, where euclidean or spherical geodesic distances measure the similarity of an image region to an object class prototype. In this work, we study whether a…

Computer Vision and Pattern Recognition · Computer Science 2022-03-21 Christopher Lang , Alexander Braun , Abhinav Valada

The arrangement of network nodes in hyperbolic spaces has become a widely studied problem, motivated by numerous results suggesting the existence of hidden metric spaces behind the structure of complex networks. Although several methods…

Physics and Society · Physics 2023-02-06 Bianka Kovács , Gergely Palla

Temporal heterogeneous information network (temporal HIN) embedding, aiming to represent various types of nodes of different timestamps into low dimensional spaces while preserving structural and semantic information, is of vital importance…

Social and Information Networks · Computer Science 2024-06-18 Qijie Bai , Jiawen Guo , Haiwei Zhang , Changli Nie , Lin Zhang , Xiaojie Yuan

Data representation in non-Euclidean spaces has proven effective for capturing hierarchical and complex relationships in real-world datasets. Hyperbolic spaces, in particular, provide efficient embeddings for hierarchical structures. This…

Computer Vision and Pattern Recognition · Computer Science 2024-09-27 Jacob Fein-Ashley , Ethan Feng , Minh Pham

3D human meshes show a natural hierarchical structure (like torso-limbs-fingers). But existing video-based 3D human mesh recovery methods usually learn mesh features in Euclidean space. It's hard to catch this hierarchical structure…

Computer Vision and Pattern Recognition · Computer Science 2025-10-22 Xiang Zhang , Suping Wu , Weibin Qiu , Zhaocheng Jin , Sheng Yang