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This paper introduces Graph Convolutional Recurrent Network (GCRN), a deep learning model able to predict structured sequences of data. Precisely, GCRN is a generalization of classical recurrent neural networks (RNN) to data structured by…

Machine Learning · Statistics 2016-12-23 Youngjoo Seo , Michaël Defferrard , Pierre Vandergheynst , Xavier Bresson

The dominant paradigm for machine learning on graphs uses Message Passing Graph Neural Networks (MP-GNNs), in which node representations are updated by aggregating information in their local neighborhood. Recently, there have been…

Machine Learning · Computer Science 2023-03-02 Daniel Glickman , Eran Yahav

Suffering from the multi-view data diversity and complexity for semi-supervised classification, most of existing graph convolutional networks focus on the networks architecture construction or the salient graph structure preservation, and…

Machine Learning · Computer Science 2020-06-01 Guangfeng Lin , Jing Wang , Kaiyang Liao , Fan Zhao , Wanjun Chen

Graph Neural Networks (GNNs) have shown superior performance for semi-supervised learning of numerous web applications, such as classification on web services and pages, analysis of online social networks, and recommendation in e-commerce.…

Social and Information Networks · Computer Science 2023-06-06 Keke Huang , Jing Tang , Juncheng Liu , Renchi Yang , Xiaokui Xiao

In this work, we aim to classify nodes of unstructured peer-to-peer networks with communication uncertainty, such as users of decentralized social networks. Graph Neural Networks (GNNs) are known to improve the accuracy of simple…

Machine Learning · Computer Science 2022-03-17 Emmanouil Krasanakis , Symeon Papadopoulos , Ioannis Kompatsiaris

Recently, graph Convolutional Neural Networks (graph CNNs) have been widely used for graph data representation and semi-supervised learning tasks. However, existing graph CNNs generally use a fixed graph which may be not optimal for…

Computer Vision and Pattern Recognition · Computer Science 2018-11-27 Bo Jiang , Ziyan Zhang , Doudou Lin , Jin Tang

Classification tasks based on feature vectors can be significantly improved by including within deep learning a graph that summarises pairwise relationships between the samples. Intuitively, the graph acts as a conduit to channel and bias…

Machine Learning · Computer Science 2019-09-27 Robert L. Peach , Alexis Arnaudon , Mauricio Barahona

Graph neural networks (GNNs) enable the analysis of graphs using deep learning, with promising results in capturing structured information in graphs. This paper focuses on creating a small graph to represent the original graph, so that GNNs…

Machine Learning · Computer Science 2022-06-29 Mengyang Liu , Shanchuan Li , Xinshi Chen , Le Song

Graph neural networks (GNNs) have been applied to a large variety of applications in materials science and chemistry. Here, we recapitulate the graph construction for crystalline (periodic) materials and investigate its impact on the GNNs…

Machine Learning · Computer Science 2023-08-10 Robin Ruff , Patrick Reiser , Jan Stühmer , Pascal Friederich

Machine learning (ML) and deep learning (DL) techniques have gained significant attention as reduced order models (ROMs) to computationally expensive structural analysis methods, such as finite element analysis (FEA). Graph neural network…

Machine Learning · Computer Science 2023-09-25 Yuecheng Cai , Jasmin Jelovica

We propose two graph neural network layers for graphs with features in a Riemannian manifold. First, based on a manifold-valued graph diffusion equation, we construct a diffusion layer that can be applied to an arbitrary number of nodes and…

Machine Learning · Computer Science 2025-02-26 Martin Hanik , Gabriele Steidl , Christoph von Tycowicz

Graph diffusion models have recently been proposed to synthesize entire graphs, such as molecule graphs. Although existing methods have shown great performance in generating entire graphs for graph-level learning tasks, no graph diffusion…

Machine Learning · Computer Science 2025-03-18 Yancheng Wang , Changyu Liu , Yingzhen Yang

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

Graph Neural Networks (GNNs) have become the state-of-the-art method for many applications on graph structured data. GNNs are a model for graph representation learning, which aims at learning to generate low dimensional node embeddings that…

Machine Learning · Computer Science 2022-05-23 Davide Buffelli , Fabio Vandin

Graph Neural Networks (GNNs) are deep-learning architectures designed for graph-type data, where understanding relationships among individual observations is crucial. However, achieving promising GNN performance, especially on unseen data,…

Machine Learning · Computer Science 2024-05-22 Lequan Lin , Dai Shi , Andi Han , Zhiyong Wang , Junbin Gao

The aim of this work is to develop a fully-distributed algorithmic framework for training graph convolutional networks (GCNs). The proposed method is able to exploit the meaningful relational structure of the input data, which are collected…

Machine Learning · Computer Science 2022-12-21 Simone Scardapane , Indro Spinelli , Paolo Di Lorenzo

Graph neural networks (GNNs) have been widely used in representation learning on graphs and achieved state-of-the-art performance in tasks such as node classification and link prediction. However, most existing GNNs are designed to learn…

Machine Learning · Computer Science 2020-02-06 Seongjun Yun , Minbyul Jeong , Raehyun Kim , Jaewoo Kang , Hyunwoo J. Kim

Graph representation learning has been widely studied and demonstrated effectiveness in various graph tasks. Most existing works embed graph data in the Euclidean space, while recent works extend the embedding models to hyperbolic or…

Machine Learning · Computer Science 2023-04-04 Cheng Deng , Fan Xu , Jiaxing Ding , Luoyi Fu , Weinan Zhang , Xinbing Wang

Graph Neural Networks (GNNs) have significant advantages in handling non-Euclidean data and have been widely applied across various areas, thus receiving increasing attention in recent years. The framework of GNN models mainly includes the…

Machine Learning · Computer Science 2025-02-05 Shengda Zhuo , Jiwang Fang , Hongguang Lin , Yin Tang , Min Chen , Changdong Wang , Shuqiang Huang

We introduce vector diffusion wavelets (VDWs), a novel family of wavelets inspired by the vector diffusion maps algorithm that was introduced to analyze data lying in the tangent bundle of a Riemannian manifold. We show that these wavelets…

Machine Learning · Computer Science 2026-02-16 David R. Johnson , Alexander Sietsema , Rishabh Anand , Deanna Needell , Smita Krishnaswamy , Michael Perlmutter