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Related papers: A Survey on Spectral Graph Neural Networks

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Spectral features are widely incorporated within Graph Neural Networks (GNNs) to improve their expressive power, or their ability to distinguish among non-isomorphic graphs. One popular example is the usage of graph Laplacian eigenvectors…

Machine Learning · Computer Science 2025-09-29 Snir Hordan , Maya Bechler-Speicher , Gur Lifshitz , Nadav Dym

Deep Neural Networks have shown tremendous success in the area of object recognition, image classification and natural language processing. However, designing optimal Neural Network architectures that can learn and output arbitrary graphs…

Machine Learning · Computer Science 2019-07-02 Mital Kinderkhedia

Graph Neural Networks (GNNs) have attracted increasing attention in recent years and have achieved excellent performance in semi-supervised node classification tasks. The success of most GNNs relies on one fundamental assumption, i.e., the…

Machine Learning · Computer Science 2024-12-03 Junchao Lin , Yuan Wan , Jingwen Xu , Xingchen Qi

In this work we propose a random graph model that can produce graphs at different levels of sparsity. We analyze how sparsity affects the graph spectra, and thus the performance of graph neural networks (GNNs) in node classification on…

Social and Information Networks · Computer Science 2023-09-14 Luana Ruiz , Ningyuan Huang , Soledad Villar

Graph neural networks (GNNs) have been demonstrated to be a powerful algorithmic model in broad application fields for their effectiveness in learning over graphs. To scale GNN training up for large-scale and ever-growing graphs, the most…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-11-30 Haiyang Lin , Mingyu Yan , Xiaochun Ye , Dongrui Fan , Shirui Pan , Wenguang Chen , Yuan Xie

Graph Neural Networks (GNNs) have gained significant attention owing to their ability to handle graph-structured data and the improvement in practical applications. However, many of these models prioritize high utility performance, such as…

Machine Learning · Computer Science 2023-09-20 Yi Zhang , Yuying Zhao , Zhaoqing Li , Xueqi Cheng , Yu Wang , Olivera Kotevska , Philip S. Yu , Tyler Derr

Graphs representation learning has been a very active research area in recent years. The goal of graph representation learning is to generate graph representation vectors that capture the structure and features of large graphs accurately.…

Machine Learning · Computer Science 2022-06-16 Shima Khoshraftar , Aijun An

Graph Neural Networks (GNNs) are a family of graph networks inspired by mechanisms existing between nodes on a graph. In recent years there has been an increased interest in GNN and their derivatives, i.e., Graph Attention Networks (GAT),…

Machine Learning · Computer Science 2022-12-21 Maciej Krzywda , Szymon Łukasik , Amir H. Gandomi

Graph neural networks (GNNs), which are capable of learning representations from graphical data, are naturally suitable for modeling molecular systems. This review introduces GNNs and their various applications for small organic molecules.…

Machine Learning · Computer Science 2023-10-10 Yuyang Wang , Zijie Li , Amir Barati Farimani

Graph neural networks (GNNs) learn node representations by passing and aggregating messages between neighboring nodes. GNNs have been applied successfully in several application domains and achieved promising performance. However, GNNs…

Machine Learning · Computer Science 2021-12-14 Zeyu Zhang , Yulong Pei

Noninvasive medical neuroimaging has yielded many discoveries about the brain connectivity. Several substantial techniques mapping morphological, structural and functional brain connectivities were developed to create a comprehensive road…

Machine Learning · Computer Science 2022-09-30 Alaa Bessadok , Mohamed Ali Mahjoub , Islem Rekik

Graph Neural Networks (GNNs) have gained momentum in graph representation learning and boosted the state of the art in a variety of areas, such as data mining (\emph{e.g.,} social network analysis and recommender systems), computer vision…

Computer Vision and Pattern Recognition · Computer Science 2024-08-15 Chaoqi Chen , Yushuang Wu , Qiyuan Dai , Hong-Yu Zhou , Mutian Xu , Sibei Yang , Xiaoguang Han , Yizhou Yu

Complex networks or graphs are ubiquitous in sciences and engineering: biological networks, brain networks, transportation networks, social networks, and the World Wide Web, to name a few. Spectral graph theory provides a set of useful…

Statistics Theory · Mathematics 2019-01-23 Subhadeep Mukhopadhyay , Kaijun Wang

Network data can be conveniently modeled as a graph signal, where data values are assigned to nodes of a graph that describes the underlying network topology. Successful learning from network data is built upon methods that effectively…

Machine Learning · Computer Science 2021-05-26 Fernando Gama , Elvin Isufi , Geert Leus , Alejandro Ribeiro

Graph Neural Networks (GNNs) are an effective framework for representation learning of graphs. GNNs follow a neighborhood aggregation scheme, where the representation vector of a node is computed by recursively aggregating and transforming…

Machine Learning · Computer Science 2019-02-26 Keyulu Xu , Weihua Hu , Jure Leskovec , Stefanie Jegelka

Spectral Graph Neural Networks (GNNs) have achieved tremendous success in graph learning. As an essential part of spectral GNNs, spectral graph convolution extracts crucial frequency information in graph data, leading to superior…

Machine Learning · Computer Science 2024-04-09 Guoming Li , Jian Yang , Shangsong Liang , Dongsheng Luo

Graph Neural Networks (GNNs) have been widely applied to various fields due to their powerful representations of graph-structured data. Despite the success of GNNs, most existing GNNs are designed to learn node representations on the fixed…

Machine Learning · Computer Science 2021-06-14 Seongjun Yun , Minbyul Jeong , Sungdong Yoo , Seunghun Lee , Sean S. Yi , Raehyun Kim , Jaewoo Kang , Hyunwoo J. Kim

Graph neural networks have developed by leaps and bounds in recent years due to the restriction of traditional convolutional filters on non-Euclidean structured data. Spectral graph theory mainly studies fundamental graph properties using…

Spectral Theory · Mathematics 2023-09-08 Xinye Chen

Neural-symbolic computing has now become the subject of interest of both academic and industry research laboratories. Graph Neural Networks (GNN) have been widely used in relational and symbolic domains, with widespread application of GNNs…

Artificial Intelligence · Computer Science 2021-06-15 Luis C. Lamb , Artur Garcez , Marco Gori , Marcelo Prates , Pedro Avelar , Moshe Vardi

Graph neural networks (GNNs) are a type of deep learning models that are trained on graphs and have been successfully applied in various domains. Despite the effectiveness of GNNs, it is still challenging for GNNs to efficiently scale to…

Machine Learning · Computer Science 2023-08-28 Yingxia Shao , Hongzheng Li , Xizhi Gu , Hongbo Yin , Yawen Li , Xupeng Miao , Wentao Zhang , Bin Cui , Lei Chen