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Related papers: Gumbel-MPNN: Graph Rewiring with Gumbel-Softmax

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Graph Neural Networks (GNNs) have achieved remarkable success in various graph mining tasks by aggregating information from neighborhoods for representation learning. The success relies on the homophily assumption that nearby nodes exhibit…

Machine Learning · Computer Science 2024-06-03 Zhuonan Zheng , Sheng Zhou , Hongjia Xu , Ming Gu , Yilun Xu , Ao Li , Yuhong Li , Jingjun Gu , Jiajun Bu

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

Message-passing graph neural networks (MPNNs) have emerged as a powerful paradigm for graph-based machine learning. Despite their effectiveness, MPNNs face challenges such as under-reaching and over-squashing, where limited receptive fields…

Machine Learning · Computer Science 2024-12-03 Chendi Qian , Andrei Manolache , Christopher Morris , Mathias Niepert

Graph Neural Networks (GNNs) often assume strong homophily for graph classification, seldom considering heterophily, which means connected nodes tend to have different class labels and dissimilar features. In real-world scenarios, graphs…

Machine Learning · Computer Science 2024-05-10 Jiayi Yang , Sourav Medya , Wei Ye

The algorithms based on message passing neural networks (MPNNs) on graphs have recently achieved great success for various graph applications. However, studies find that these methods always propagate the information to very limited…

Artificial Intelligence · Computer Science 2026-02-10 Mingcan Wang , Junchang Xin , Zhongming Yao , Kaifu Long , Zhiqiong Wang

This paper proposes a novel learning method for multi-task applications. Multi-task neural networks can learn to transfer knowledge across different tasks by using parameter sharing. However, sharing parameters between unrelated tasks can…

Machine Learning · Computer Science 2020-07-21 Krzysztof Maziarz , Efi Kokiopoulou , Andrea Gesmundo , Luciano Sbaiz , Gabor Bartok , Jesse Berent

Graph neural networks (GNNs) have been widely adopted in engineering applications such as social network analysis, chemical research and computer vision. However, their efficacy is severely compromised by the inherent homophily assumption,…

Machine Learning · Computer Science 2026-04-13 Yi Luo , Xu Sun , Guangchun Luo , Aiguo Chen

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 neural networks (GNNs) based methods have achieved impressive performance on node clustering task. However, they are designed on the homophilic assumption of graph and clustering on heterophilic graph is overlooked. Due to the lack of…

Social and Information Networks · Computer Science 2023-05-09 Erlin Pan , Zhao Kang

Graph Neural Networks (GNNs) have demonstrated significant success in learning from graph-structured data across various domains. Despite their great successful, one critical challenge is often overlooked by existing works, i.e., the…

Machine Learning · Computer Science 2024-02-15 Tianxiang Zhao , Xiang Zhang , Suhang Wang

Graph neural networks (GNNs) have been extensively studied for prediction tasks on graphs. As pointed out by recent studies, most GNNs assume local homophily, i.e., strong similarities in local neighborhoods. This assumption however limits…

Machine Learning · Computer Science 2021-10-04 Sean Li , Dongwoo Kim , Qing Wang

Message passing neural networks (MPNNs) have been shown to suffer from the phenomenon of over-squashing that causes poor performance for tasks relying on long-range interactions. This can be largely attributed to message passing only…

Machine Learning · Computer Science 2023-05-19 Benjamin Gutteridge , Xiaowen Dong , Michael Bronstein , Francesco Di Giovanni

Graph Neural Networks (GNNs) have emerged as a promising tool to handle data exhibiting an irregular structure. However, most GNN architectures perform well on homophilic datasets, where the labels of neighboring nodes are likely to be the…

Machine Learning · Computer Science 2024-12-03 Victor M. Tenorio , Madeline Navarro , Samuel Rey , Santiago Segarra , Antonio G. Marques

Heterophily has been considered as an issue that hurts the performance of Graph Neural Networks (GNNs). To address this issue, some existing work uses a graph-level weighted fusion of the information of multi-hop neighbors to include more…

Machine Learning · Computer Science 2023-06-21 Yuhan Chen , Yihong Luo , Jing Tang , Liang Yang , Siya Qiu , Chuan Wang , Xiaochun Cao

Graph Neural Networks (GNNs) have proven to be useful for many different practical applications. However, many existing GNN models have implicitly assumed homophily among the nodes connected in the graph, and therefore have largely…

Machine Learning · Computer Science 2021-06-16 Jiong Zhu , Ryan A. Rossi , Anup Rao , Tung Mai , Nedim Lipka , Nesreen K. Ahmed , Danai Koutra

Important applications such as mobile computing require reducing the computational costs of neural network inference. Ideally, applications would specify their preferred tradeoff between accuracy and speed, and the network would optimize…

Computer Vision and Pattern Recognition · Computer Science 2020-11-25 Charles Herrmann , Richard Strong Bowen , Ramin Zabih

Graph Neural Networks (GNNs) have achieved significant success in various learning tasks on graph-structured data. Nevertheless, most GNNs struggle to generalize to heterophilic neighborhoods. Additionally, many GNNs ignore the directional…

Machine Learning · Computer Science 2026-01-14 Aihu Zhang , Jiaxing Xu , Mengcheng Lan , Shili Xiang , Yiping Ke

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

Message passing is a fundamental procedure for graph neural networks in the field of graph representation learning. Based on the homophily assumption, the current message passing always aggregates features of connected nodes, such as the…

Machine Learning · Computer Science 2022-02-02 Jie Chen , Weiqi Liu , Jian Pu

Graph neural networks (GNNs) have exhibited state-of-the-art performance across wide-range of domains such as recommender systems, material design, and drug repurposing. Yet message-passing GNNs suffer from over-squashing -- exponential…

Machine Learning · Computer Science 2025-08-14 Danial Saber , Amirali Salehi-Abari