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This paper describes a novel approach to modeling homphily, i.e. the tendency of nodes that share (or differ in) certain attributes to be linked; we consider dynamic networks in which nodes can be added over time but not removed. Our…

Genomics · Quantitative Biology 2022-01-13 V. DeGruttola , M. Nakazawa , J. Liu , X. Tu , S. Little , S. Mehta

Graph Neural Networks (GNNs) have achieved tremendous success in various real-world applications due to their strong ability in graph representation learning. GNNs explore the graph structure and node features by aggregating and…

Machine Learning · Computer Science 2021-03-09 Wei Jin , Tyler Derr , Yiqi Wang , Yao Ma , Zitao Liu , Jiliang Tang

Graph Neural Networks (GNNs) have achieved remarkable success in diverse real-world applications. Traditional GNNs are designed based on homophily, which leads to poor performance under heterophily scenarios. Current solutions deal with…

Social and Information Networks · Computer Science 2023-01-26 Fengzhao Shi , Ren Li , Yanan Cao , Yanmin Shang , Lanxue Zhang , Chuan Zhou , Jia Wu , Shirui Pan

Graph Neural Networks (GNNs) often perform better for high-degree nodes than low-degree nodes on node classification tasks. This degree bias can reinforce social marginalization by, e.g., privileging celebrities and other high-degree actors…

Machine Learning · Computer Science 2024-11-04 Arjun Subramonian , Jian Kang , Yizhou Sun

Graph Neural Networks (GNNs) are deep learning methods which provide the current state of the art performance in node classification tasks. GNNs often assume homophily -- neighboring nodes having similar features and labels--, and therefore…

Machine Learning · Computer Science 2021-10-26 Liheng Ma , Reihaneh Rabbany , Adriana Romero-Soriano

Node classification is a substantial problem in graph-based fraud detection. Many existing works adopt Graph Neural Networks (GNNs) to enhance fraud detectors. While promising, currently most GNN-based fraud detectors fail to generalize to…

Artificial Intelligence · Computer Science 2023-02-22 Yuchen Wang , Jinghui Zhang , Zhengjie Huang , Weibin Li , Shikun Feng , Ziheng Ma , Yu Sun , Dianhai Yu , Fang Dong , Jiahui Jin , Beilun Wang , Junzhou Luo

While graph heterophily has been extensively studied in recent years, a fundamental research question largely remains nascent: How and to what extent will graph heterophily affect the prediction performance of graph neural networks (GNNs)?…

Machine Learning · Computer Science 2023-06-27 Shuaicheng Zhang , Haohui Wang , Si Zhang , Dawei Zhou

The crime forecasting is an important problem as it greatly contributes to urban safety. Typically, the goal of the problem is to predict different types of crimes for each geographical region (like a neighborhood or censor tract) in the…

Machine Learning · Computer Science 2021-09-28 Chenyu Wang , Zongyu Lin , Xiaochen Yang , Jiao Sun , Mingxuan Yue , Cyrus Shahabi

Node classification tasks on graphs are addressed via fully-trained deep message-passing models that learn a hierarchy of node representations via multiple aggregations of a node's neighbourhood. While effective on graphs that exhibit a…

Machine Learning · Computer Science 2023-07-19 Alessio Micheli , Domenico Tortorella

Graph neural networks (GNNs) realize great success in graph learning but suffer from performance loss when meeting heterophily, i.e. neighboring nodes are dissimilar, due to their local and uniform aggregation. Existing attempts of…

Machine Learning · Computer Science 2026-04-14 Haoyu Liu , Ningyi Liao , Siqiang Luo

Given a large graph with few node labels, how can we (a) identify whether there is generalized network-effects (GNE) or not, (b) estimate GNE to explain the interrelations among node classes, and (c) exploit GNE efficiently to improve the…

Social and Information Networks · Computer Science 2024-02-13 Meng-Chieh Lee , Shubhranshu Shekhar , Jaemin Yoo , Christos Faloutsos

Graph neural networks (GNNs) achieve strong performance on graph learning tasks, but training on large-scale networks remains computationally challenging. Transferability results show that GNNs with fixed weights can generalize from smaller…

Signal Processing · Electrical Eng. & Systems 2026-04-17 Haoyu Wang , Renyuan Ma , Gonzalo Mateos , Luana Ruiz

While uncertainty estimation for graphs recently gained traction, most methods rely on homophily and deteriorate in heterophilic settings. We address this by analyzing message passing neural networks from an information-theoretic…

Machine Learning · Computer Science 2026-05-12 Dominik Fuchsgruber , Tom Wollschläger , Johannes Bordne , Stephan Günnemann

Heterogeneous graph neural networks (GNNs) achieve strong performance on node classification tasks in a semi-supervised learning setting. However, as in the simpler homogeneous GNN case, message-passing-based heterogeneous GNNs may struggle…

Machine Learning · Computer Science 2022-10-24 Hongjoon Ahn , Yongyi Yang , Quan Gan , Taesup Moon , David Wipf

Graph Convolutional Networks (GCN) are Graph Neural Networks where the convolutions are applied over a graph. In contrast to Convolutional Neural Networks, GCN's are designed to perform inference on graphs, where the number of nodes can…

Machine Learning · Computer Science 2024-06-12 Adrian Moldovan , Angel Caţaron , Răzvan Andonie

Homophily, the tendency of individuals to associate with others who share similar traits, has been identified as a major driving force in the formation and evolution of social ties. In many cases, it is not clear if homophily is the result…

Physics and Society · Physics 2017-09-01 Ivan Smirnov , Stefan Thurner

Graph convolutional neural networks (GCNNs) have received much attention recently, owing to their capability in handling graph-structured data. Among the existing GCNNs, many methods can be viewed as instances of a neural message passing…

Machine Learning · Computer Science 2021-03-19 Tien Huu Do , Duc Minh Nguyen , Giannis Bekoulis , Adrian Munteanu , Nikos Deligiannis

The remarkable success of foundation models has sparked growing interest in their application to single-cell biology. Models like Geneformer and scGPT promise to serve as versatile tools in this specialized field. However, representing a…

Quantitative Methods · Quantitative Biology 2024-11-12 Jiabei Cheng , Jiachen Li , Kaiyuan Yang , Hongbin Shen , Ye Yuan

A fundamental challenge in understanding graph neural networks (GNNs) lies in characterizing their optimization dynamics and loss landscape geometry, critical for improving interpretability and robustness. While mode connectivity, a lens…

Machine Learning · Computer Science 2025-02-19 Bingheng Li , Zhikai Chen , Haoyu Han , Shenglai Zeng , Jingzhe Liu , Jiliang Tang

Graph anomaly detection (GAD) aims to identify nodes that deviate from normal patterns in structure or features. While recent GNN-based approaches have advanced this task, they struggle with two major challenges: 1) homophily disparity,…

Machine Learning · Computer Science 2026-03-10 Yunhui Liu , Qizhuo Xie , Yinfeng Chen , Xudong Jin , Tao Zheng , Bin Chong , Tieke He