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Topological data analysis is an emerging area in exploratory data analysis and data mining. Its main tool, persistent homology, has become a popular technique to study the structure of complex, high-dimensional data. In this paper, we…

Graphics · Computer Science 2017-10-04 Mustafa Hajij , Bei Wang , Carlos Scheidegger , Paul Rosen

We explore the use of graph neural networks (GNNs) to model spatial processes in which there is no a priori graphical structure. Similar to finite element analysis, we assign nodes of a GNN to spatial locations and use a computational…

Machine Learning · Computer Science 2019-11-19 Ferran Alet , Adarsh K. Jeewajee , Maria Bauza , Alberto Rodriguez , Tomas Lozano-Perez , Leslie Pack Kaelbling

We consider graph representation learning in a self-supervised manner. Graph neural networks (GNNs) use neighborhood aggregation as a core component that results in feature smoothing among nodes in proximity. While successful in various…

Machine Learning · Computer Science 2021-07-20 Wei Zhuo , Guang Tan

Many real world network problems often concern multivariate nodal attributes such as image, textual, and multi-view feature vectors on nodes, rather than simple univariate nodal attributes. The existing graph estimation methods built on…

Machine Learning · Statistics 2013-04-23 Mladen Kolar , Han Liu , Eric P. Xing

In recent years, Graph Neural Networks (GNNs) have made significant advances in processing structured data. However, most of them primarily adopted a model-centric approach, which simplifies graphs by converting them into undirected formats…

Machine Learning · Computer Science 2024-12-12 Henan Sun , Xunkai Li , Daohan Su , Junyi Han , Rong-Hua Li , Guoren Wang

A large driver of the complexity of graph learning is the interplay between structure and features. When analyzing the expressivity of graph neural networks, however, existing approaches ignore features in favor of structure, making it…

Machine Learning · Computer Science 2026-03-04 Martin Carrasco , Olga Zaghen , Kavir Sumaraj , Erik Bekkers , Bastian Rieck

The irreducible complexity of natural phenomena has led Graph Neural Networks to be employed as a standard model to perform representation learning tasks on graph-structured data. While their capacity to capture local and global patterns is…

Machine Learning · Computer Science 2024-02-13 Lorenzo Giusti

Existing Graph Neural Networks (GNNs) follow the message-passing mechanism that conducts information interaction among nodes iteratively. While considerable progress has been made, such node interaction paradigms still have the following…

Machine Learning · Computer Science 2023-04-14 Jie Chen , Zilong Li , Yin Zhu , Junping Zhang , Jian Pu

The principal benefit of unsupervised representation learning is that a pre-trained model can be fine-tuned where data or labels are scarce. Existing approaches for graph representation learning are domain specific, maintaining consistent…

Machine Learning · Computer Science 2024-12-03 Alex O. Davies , Riku W. Green , Nirav S. Ajmeri , Telmo M. Silva Filho

In this paper, we study using graph neural networks (GNNs) for \textit{multi-node representation learning}, where a representation for a set of more than one node (such as a link) is to be learned. Existing GNNs are mainly designed to learn…

Machine Learning · Computer Science 2025-03-11 Xiyuan Wang , Pan Li , Muhan Zhang

Graph contrastive learning (GCL) has recently emerged as a new concept which allows for capitalizing on the strengths of graph neural networks (GNNs) to learn rich representations in a wide variety of applications which involve abundant…

Machine Learning · Computer Science 2024-06-26 Yuzhou Chen , Jose Frias , Yulia R. Gel

Learning domain-invariant visual representations is important to train a model that can generalize well to unseen target task domains. Recent works demonstrate that text descriptions contain high-level class-discriminative information and…

Computer Vision and Pattern Recognition · Computer Science 2024-12-25 Nokyung Park , Daewon Chae , Jeongyong Shim , Sangpil Kim , Eun-Sol Kim , Jinkyu Kim

Graph alignment, which aims at identifying corresponding entities across multiple networks, has been widely applied in various domains. As the graphs to be aligned are usually constructed from different sources, the inconsistency issues of…

Databases · Computer Science 2023-04-21 Jianheng Tang , Weiqi Zhang , Jiajin Li , Kangfei Zhao , Fugee Tsung , Jia Li

Graph neural networks aim to learn representations for graph-structured data and show impressive performance, particularly in node classification. Recently, many methods have studied the representations of GNNs from the perspective of…

Machine Learning · Computer Science 2023-05-30 Jiaqi Sun , Lin Zhang , Guangyi Chen , Kun Zhang , Peng XU , Yujiu Yang

Graphs offer a generic abstraction for modeling entities, and the interactions and relationships between them. Most real world graphs, such as social and cooperation networks evolve over time, and exploring their evolution may reveal…

Social and Information Networks · Computer Science 2023-11-09 Evangelia Tsoukanara , Georgia Koloniari , Evaggelia Pitoura

The objective of knowledge graph embedding is to encode both entities and relations of knowledge graphs into continuous low-dimensional vector spaces. Previously, most works focused on symbolic representation of knowledge graph with…

Computation and Language · Computer Science 2016-12-14 Jiacheng Xu , Kan Chen , Xipeng Qiu , Xuanjing Huang

This paper builds on the connection between graph neural networks and traditional dynamical systems. We propose continuous graph neural networks (CGNN), which generalise existing graph neural networks with discrete dynamics in that they can…

Machine Learning · Computer Science 2020-07-17 Louis-Pascal A. C. Xhonneux , Meng Qu , Jian Tang

We introduce a taxonomy of interaction types and show that graphs are focal hypergraphs: every graph is canonically a focal hypergraph via its closed neighbourhood structure, and every graph dynamical model is a special case of the general…

Physics and Society · Physics 2026-03-05 Elkaïoum M. Moutuou

Recently, many graph matching methods that incorporate pairwise constraint and that can be formulated as a quadratic assignment problem (QAP) have been proposed. Although these methods demonstrate promising results for the graph matching…

Computer Vision and Pattern Recognition · Computer Science 2018-07-27 Fudong Wang , Nan Xue , Yipeng Zhang , Xiang Bai , Gui-Song Xia

Generative design refers to computational design methods that can automatically conduct design exploration under constraints defined by designers. Among many approaches, topology optimization-based generative designs aim to explore diverse…

Computer Vision and Pattern Recognition · Computer Science 2022-10-04 Seowoo Jang , Soyoung Yoo , Namwoo Kang
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