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Graphs are useful for representing various realworld objects. However, graph neural networks (GNNs) tend to suffer from over-smoothing, where the representations of nodes of different classes become similar as the number of layers…

Machine Learning · Computer Science 2024-10-22 Jun Kato , Airi Mita , Keita Gobara , Akihiro Inokuchi

The over-smoothing problem is an obstacle of developing deep graph neural network (GNN). Although many approaches to improve the over-smoothing problem have been proposed, there is still a lack of comprehensive understanding and conclusion…

Machine Learning · Computer Science 2023-03-02 Weichen Zhao , Chenguang Wang , Congying Han , Tiande Guo

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

Large-scale graphs are ubiquitous in real-world scenarios and can be trained by Graph Neural Networks (GNNs) to generate representation for downstream tasks. Given the abundant information and complex topology of a large-scale graph, we…

Machine Learning · Computer Science 2022-09-05 Xin Liu , Xunbin Xiong , Mingyu Yan , Runzhen Xue , Shirui Pan , Xiaochun Ye , Dongrui Fan

Graph Neural Networks (GNNs) are limited in their propagation operators. In many cases, these operators often contain non-negative elements only and are shared across channels, limiting the expressiveness of GNNs. Moreover, some GNNs suffer…

Machine Learning · Computer Science 2023-05-08 Moshe Eliasof , Lars Ruthotto , Eran Treister

The past few years have witnessed the fast development of different regularization methods for deep learning models such as fully-connected deep neural networks (DNNs) and Convolutional Neural Networks (CNNs). Most of previous methods…

Machine Learning · Computer Science 2018-11-20 Hengyue Pan , Hui Jiang , Xin Niu , Yong Dou

Graph Neural Networks (GNNs) have demonstrated impressive performance across diverse graph-based tasks by leveraging message passing to capture complex node relationships. However, on large-scale real-world graphs, GNNs face two major…

Machine Learning · Computer Science 2026-03-10 Xiang Li , Jianpeng Qi , Haobing Liu , Yuan Cao , Guoqing Chao , Zhongying Zhao , Junyu Dong , Xinwang Liu , Yanwei Yu

Graph convolutional networks learn effective node embeddings that have proven to be useful in achieving high-accuracy prediction results in semi-supervised learning tasks, such as node classification. However, these networks suffer from the…

Machine Learning · Computer Science 2020-10-21 Mahsa Mesgaran , A. Ben Hamza

Oversmoothing has been claimed as a primary bottleneck for multi-layered graph neural networks (GNNs). Multiple analyses have examined how and why oversmoothing occurs. However, none of the prior work addressed how optimization is performed…

Machine Learning · Computer Science 2024-10-08 MoonJeong Park , Dongwoo Kim

With the tremendous success of Graph Convolutional Networks (GCNs), they have been widely applied to recommender systems and have shown promising performance. However, most GCN-based methods rigorously stick to a common GCN learning…

Information Retrieval · Computer Science 2022-09-07 Shaowen Peng , Kazunari Sugiyama , Tsunenori Mine

Graph neural networks (GNNs) are one of the most popular research topics for deep learning. GNN methods typically have been designed on top of the graph signal processing theory. In particular, diffusion equations have been widely used for…

Machine Learning · Computer Science 2023-06-16 Jeongwhan Choi , Seoyoung Hong , Noseong Park , Sung-Bae Cho

We analyze graph smoothing with \emph{mean aggregation}, where each node successively receives the average of the features of its neighbors. Indeed, it has quickly been observed that Graph Neural Networks (GNNs), which generally follow some…

Machine Learning · Statistics 2022-10-11 Nicolas Keriven

In recent years, Graph Neural Networks (GNNs) have been popular in the graph classification task. Currently, shallow GNNs are more common due to the well-known over-smoothing problem facing deeper GNNs. However, they are sub-optimal without…

Machine Learning · Computer Science 2023-02-20 Lanning Wei , Zhiqiang He , Huan Zhao , Quanming Yao

GNNs are widely used to solve various tasks including node classification and link prediction. Most of the GNN architectures assume the initial embedding to be random or generated from popular distributions. These initial embeddings require…

Machine Learning · Computer Science 2024-01-31 Shraban Kumar Chatterjee , Suman Kundu

Message Passing Graph Neural Networks are known to suffer from two problems that are sometimes believed to be diametrically opposed: over-squashing and over-smoothing. The former results from topological bottlenecks that hamper the…

Machine Learning · Computer Science 2024-10-31 Adarsh Jamadandi , Celia Rubio-Madrigal , Rebekka Burkholz

Oversmoothing in Graph Neural Networks (GNNs) refers to the phenomenon where increasing network depth leads to homogeneous node representations. While previous work has established that Graph Convolutional Networks (GCNs) exponentially lose…

Machine Learning · Computer Science 2024-06-05 Xinyi Wu , Amir Ajorlou , Zihui Wu , Ali Jadbabaie

Graph convolutional network (GCN) based approaches have achieved significant progress for solving complex, graph-structured problems. GCNs incorporate the graph structure information and the node (or edge) features through message passing…

Machine Learning · Computer Science 2021-05-04 Saurav Manchanda , Da Zheng , George Karypis

Augmented graphs play a vital role in regularizing Graph Neural Networks (GNNs), which leverage information exchange along edges in graphs, in the form of message passing, for learning. Due to their effectiveness, simple edge and node…

Machine Learning · Computer Science 2022-09-07 Hongyu Guo , Sun Sun

Graph Neural Networks (GNNs) have emerged as the most powerful weapon for various graph tasks due to the message-passing mechanism's great local information aggregation ability. However, over-smoothing has always hindered GNNs from going…

Machine Learning · Computer Science 2024-03-26 Yundong Sun , Dongjie Zhu , Yansong Wang , Zhaoshuo Tian

Numerous recent research on graph neural networks (GNNs) has focused on formulating GNN architectures as an optimization problem with the smoothness assumption. However, in node classification tasks, the smoothing effect induced by GNNs…

Machine Learning · Computer Science 2023-09-14 Jiayu Zhai , Lequan Lin , Dai Shi , Junbin Gao
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