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This paper introduces a new model to learn graph neural networks equivariant to rotations, translations, reflections and permutations called E(n)-Equivariant Graph Neural Networks (EGNNs). In contrast with existing methods, our work does…

Machine Learning · Computer Science 2022-02-17 Victor Garcia Satorras , Emiel Hoogeboom , Max Welling

Many problems in computer vision and machine learning can be cast as learning on hypergraphs that represent higher-order relations. Recent approaches for hypergraph learning extend graph neural networks based on message passing, which is…

Machine Learning · Computer Science 2022-08-23 Jinwoo Kim , Saeyoon Oh , Sungjun Cho , Seunghoon Hong

Convolutional Neural Networks(CNN) are inherently equivariant under translations, however, they do not have an equivalent embedded mechanism to handle other transformations such as rotations and change in scale. Several approaches exist…

Computer Vision and Pattern Recognition · Computer Science 2021-11-30 Naman Khetan , Tushar Arora , Samee Ur Rehman , Deepak K. Gupta

How can prior knowledge on the transformation invariances of a domain be incorporated into the architecture of a neural network? We propose Equivariant Transformers (ETs), a family of differentiable image-to-image mappings that improve the…

Computer Vision and Pattern Recognition · Computer Science 2019-05-28 Kai Sheng Tai , Peter Bailis , Gregory Valiant

Entity resolution (ER) is the task of identifying different representations of the same real-world entities across databases. It is a key step for knowledge base creation and text mining. Recent adaptation of deep learning methods for ER…

Databases · Computer Science 2019-06-20 Jungo Kasai , Kun Qian , Sairam Gurajada , Yunyao Li , Lucian Popa

Recently, learning equivariant representations has attracted considerable research attention. Dieleman et al. introduce four operations which can be inserted into convolutional neural network to learn deep representations equivariant to…

Computer Vision and Pattern Recognition · Computer Science 2018-03-01 Junying Li , Zichen Yang , Haifeng Liu , Deng Cai

Triangular meshes are widely used to represent three-dimensional objects. As a result, many recent works have address the need for geometric deep learning on 3D mesh. However, we observe that the complexities in many of these architectures…

Machine Learning · Computer Science 2024-02-20 Thuan Trang , Nhat Khang Ngo , Daniel Levy , Thieu N. Vo , Siamak Ravanbakhsh , Truong Son Hy

Entity alignment is the task of linking entities with the same real-world identity from different knowledge graphs (KGs), which has been recently dominated by embedding-based methods. Such approaches work by learning KG representations so…

Computation and Language · Computer Science 2019-08-23 Yuting Wu , Xiao Liu , Yansong Feng , Zheng Wang , Rui Yan , Dongyan Zhao

Large-scale multi-relational embedding refers to the task of learning the latent representations for entities and relations in large knowledge graphs. An effective and scalable solution for this problem is crucial for the true success of…

Machine Learning · Computer Science 2017-07-07 Hanxiao Liu , Yuexin Wu , Yiming Yang

Graph neural networks excel at modeling pairwise interactions, but they cannot flexibly accommodate higher-order interactions and features. Topological deep learning (TDL) has emerged recently as a promising tool for addressing this issue.…

Machine Learning · Computer Science 2025-02-07 Claudio Battiloro , Ege Karaismailoğlu , Mauricio Tec , George Dasoulas , Michelle Audirac , Francesca Dominici

Conceptual modelling using the entity relationship (ER) model has been widely used for database design for a long period of time. However, studies indicate that creating a satisfactory relational model representation from an ER model is…

Databases · Computer Science 2013-07-01 Dhammika Pieris

Hypergraph neural networks (HNNs) using neural networks to encode hypergraphs provide a promising way to model higher-order relations in data and further solve relevant prediction tasks built upon such higher-order relations. However,…

Machine Learning · Computer Science 2023-02-16 Peihao Wang , Shenghao Yang , Yunyu Liu , Zhangyang Wang , Pan Li

Entity alignment is a viable means for integrating heterogeneous knowledge among different knowledge graphs (KGs). Recent developments in the field often take an embedding-based approach to model the structural information of KGs so that…

Computation and Language · Computer Science 2019-09-23 Yuting Wu , Xiao Liu , Yansong Feng , Zheng Wang , Dongyan Zhao

Entity linking (EL) is the process of linking entity mentions appearing in web text with their corresponding entities in a knowledge base. EL plays an important role in the fields of knowledge engineering and data mining, underlying a…

Computation and Language · Computer Science 2021-09-28 Wei Shen , Yuhan Li , Yinan Liu , Jiawei Han , Jianyong Wang , Xiaojie Yuan

The inclusion of symmetries as an inductive bias, known as equivariance, often improves generalization on geometric data (e.g. grids, sets, and graphs). However, equivariant architectures are usually highly constrained, designed for…

Machine Learning · Computer Science 2026-03-23 Abhinav Goel , Derek Lim , Hannah Lawrence , Stefanie Jegelka , Ningyuan Huang

Representation learning is a fundamental building block for analyzing entities in a database. While the existing embedding learning methods are effective in various data mining problems, their applicability is often limited because these…

Machine Learning · Computer Science 2020-09-24 Chin-Chia Michael Yeh , Dhruv Gelda , Zhongfang Zhuang , Yan Zheng , Liang Gou , Wei Zhang

State-of-the-art deep learning systems often require large amounts of data and computation. For this reason, leveraging known or unknown structure of the data is paramount. Convolutional neural networks (CNNs) are successful examples of…

Computer Vision and Pattern Recognition · Computer Science 2020-12-07 Carlos Esteves

We develop a theory of category-equivariant neural networks (CENNs) that unifies group/groupoid-equivariant networks, poset/lattice-equivariant networks, graph and sheaf neural networks. Equivariance is formulated as naturality in a…

Machine Learning · Computer Science 2025-12-24 Yoshihiro Maruyama

Invariant and equivariant networks have been successfully used for learning images, sets, point clouds, and graphs. A basic challenge in developing such networks is finding the maximal collection of invariant and equivariant linear layers.…

Machine Learning · Computer Science 2019-05-01 Haggai Maron , Heli Ben-Hamu , Nadav Shamir , Yaron Lipman

We address the task of entity-relationship (E-R) retrieval, i.e, given a query characterizing types of two or more entities and relationships between them, retrieve the relevant tuples of related entities. Answering E-R queries requires…

Information Retrieval · Computer Science 2017-10-20 Pedro Saleiro , Natasa Milic-Frayling , Eduarda Mendes Rodrigues , Carlos Soares
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