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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

Spectral graph neural networks learn graph filters, but their behavior with increasing depth and polynomial order is not well understood. We analyze these models in the graph Fourier domain, where each layer becomes an element-wise…

Machine Learning · Computer Science 2026-04-02 Vahan A. Martirosyan , Daniele Malitesta , Hugues Talbot , Jhony H. Giraldo , Fragkiskos D. Malliaros

Most Graph Neural Networks (GNNs) operate at the first-order scale, even though multi-scale representations are known to be crucial in domains such as image classification. In this work, we investigate whether GNNs can similarly benefit…

Machine Learning · Computer Science 2026-04-15 Qin Jiang , Chengjia Wang , Michael Lones , Dongdong Chen , Wei Pang

Variants of Graph Neural Networks (GNNs) for representation learning have been proposed recently and achieved fruitful results in various fields. Among them, Graph Attention Network (GAT) first employs a self-attention strategy to learn…

Machine Learning · Computer Science 2021-07-28 Heng Chang , Yu Rong , Tingyang Xu , Wenbing Huang , Somayeh Sojoudi , Junzhou Huang , Wenwu Zhu

We study the task of node classification for graph neural networks (GNNs) and establish a connection between group fairness, as measured by statistical parity and equal opportunity, and local assortativity, i.e., the tendency of linked…

Social and Information Networks · Computer Science 2022-11-16 Donald Loveland , Jiong Zhu , Mark Heimann , Ben Fish , Michael T. Schaub , Danai Koutra

Heterophily, or the tendency of connected nodes in networks to have different class labels or dissimilar features, has been identified as challenging for many Graph Neural Network (GNN) models. While the challenges of applying GNNs for node…

Machine Learning · Computer Science 2024-09-27 Jiong Zhu , Gaotang Li , Yao-An Yang , Jing Zhu , Xuehao Cui , Danai Koutra

Graph neural networks (GNNs) learn the representation of graph-structured data, and their expressiveness can be further enhanced by inferring node relations for propagation. Attention-based GNNs infer neighbor importance to manipulate the…

Machine Learning · Computer Science 2023-06-06 Soo Yong Lee , Fanchen Bu , Jaemin Yoo , Kijung Shin

Homophily principle, i.e., nodes with the same labels are more likely to be connected, has been believed to be the main reason for the performance superiority of Graph Neural Networks (GNNs) over Neural Networks on node classification…

Social and Information Networks · Computer Science 2024-01-03 Sitao Luan , Chenqing Hua , Minkai Xu , Qincheng Lu , Jiaqi Zhu , Xiao-Wen Chang , Jie Fu , Jure Leskovec , Doina Precup

Graph Neural Networks have recently become a prevailing paradigm for various high-impact graph analytical problems. Existing efforts can be mainly categorized as spectral-based and spatial-based methods. The major challenge for the former…

Machine Learning · Computer Science 2022-02-22 Yushun Dong , Kaize Ding , Brian Jalaian , Shuiwang Ji , Jundong Li

Graph neural networks (GNNs) have achieved tremendous success on multiple graph-based learning tasks by fusing network structure and node features. Modern GNN models are built upon iterative aggregation of neighbor's/proximity features by…

Machine Learning · Computer Science 2021-06-15 Susheel Suresh , Vinith Budde , Jennifer Neville , Pan Li , Jianzhu Ma

Graph Neural Networks (GNNs) have emerged as powerful tools for learning from graph-structured data, leveraging message passing to diffuse information and update node representations. However, most efforts have suggested that native…

Machine Learning · Computer Science 2025-09-23 Sujia Huang , Lele Fu , Zhen Cui , Tong Zhang , Na Song , Bo Huang

Many recent works have studied the performance of Graph Neural Networks (GNNs) in the context of graph homophily - a label-dependent measure of connectivity. Traditional GNNs generate node embeddings by aggregating information from a node's…

Machine Learning · Computer Science 2021-06-08 Hesham Mostafa , Marcel Nassar , Somdeb Majumdar

Graph ``pre-training and prompt-tuning'' aligns downstream tasks with pre-trained objectives to enable efficient knowledge transfer under limited supervision. However, current methods typically rely on single-filter backbones (e.g.,…

Machine Learning · Computer Science 2026-01-13 Haitong Luo , Suhang Wang , Weiyao Zhang , Ruiqi Meng , Xuying Meng , Yujun Zhang

Graphs are central to modeling complex systems in domains such as social networks, molecular chemistry, and neuroscience. While Graph Neural Networks, particularly Graph Convolutional Networks, have become standard tools for graph learning,…

Machine Learning · Computer Science 2025-11-03 Angelica Liguori , Ettore Ritacco , Pietro Sabatino , Annalisa Socievole

Graph Neural Networks (GNNs) have been broadly applied in many urban applications upon formulating a city as an urban graph whose nodes are urban objects like regions or points of interest. Recently, a few enhanced GNN architectures have…

Machine Learning · Computer Science 2023-06-22 Congxi Xiao , Jingbo Zhou , Jizhou Huang , Tong Xu , Hui Xiong

Graph Neural Networks (GNNs) are the subject of intense focus by the machine learning community for problems involving relational reasoning. GNNs can be broadly divided into spatial and spectral approaches. Spatial approaches use a form of…

Machine Learning · Statistics 2021-01-05 Kimberly Stachenfeld , Jonathan Godwin , Peter Battaglia

We propose AGS-GNN, a novel attribute-guided sampling algorithm for Graph Neural Networks (GNNs) that exploits node features and connectivity structure of a graph while simultaneously adapting for both homophily and heterophily in graphs.…

Machine Learning · Computer Science 2024-05-27 Siddhartha Shankar Das , S M Ferdous , Mahantesh M Halappanavar , Edoardo Serra , Alex Pothen

As much as Graph Convolutional Networks (GCNs) have shown tremendous success in recommender systems and collaborative filtering (CF), the mechanism of how they, especially the core components (\textit{i.e.,} neighborhood aggregation)…

Information Retrieval · Computer Science 2022-04-26 Shaowen Peng , Kazunari Sugiyama , Tsunenori Mine

A long-standing goal in deep learning has been to characterize the learning behavior of black-box models in a more interpretable manner. For graph neural networks (GNNs), considerable advances have been made in formalizing what functions…

Machine Learning · Computer Science 2024-06-19 Chenxiao Yang , Qitian Wu , David Wipf , Ruoyu Sun , Junchi Yan

Graph Neural Networks (GNNs) have attracted considerable attention and have emerged as a new promising paradigm to process graph-structured data. GNNs are usually stacked to multiple layers and the node representations in each layer are…

Machine Learning · Computer Science 2020-09-25 Yihao Chen , Xin Tang , Xianbiao Qi , Chun-Guang Li , Rong Xiao