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In this paper, we study the factors that contribute to the effect of oversmoothing in deep Graph Neural Networks (GNNs). Specifically, our analysis is based on a new metric (Mean Average Squared Distance - $MASED$) to quantify the extent of…

机器学习 · 计算机科学 2025-10-08 Dimitrios Kelesis , Dimitris Fotakis , Georgios Paliouras

Oversmoothing is a fundamental limitation of deep graph convolutional networks (GCNs), causing node representations to collapse as depth increases. While many prior approaches mitigate this effect through architectural modifications or…

机器学习 · 计算机科学 2026-02-10 Sai Vamsi Alisetti

The pioneering work of Oono and Suzuki [ICLR, 2020] and Cai and Wang [arXiv:2006.13318] initializes the analysis of the smoothness of graph convolutional network (GCN) features. Their results reveal an intricate empirical correlation…

机器学习 · 计算机科学 2024-10-21 Shih-Hsin Wang , Justin Baker , Cory Hauck , Bao Wang

Graph embedding aims to transfer a graph into vectors to facilitate subsequent graph analytics tasks like link prediction and graph clustering. Most approaches on graph embedding focus on preserving the graph structure or minimizing the…

机器学习 · 计算机科学 2020-03-04 Shirui Pan , Ruiqi Hu , Sai-fu Fung , Guodong Long , Jing Jiang , Chengqi Zhang

Graph Neural Networks (GNNs) have achieved remarkable performance in a wide range of graph-related learning tasks. However, explaining their predictions remains a challenging problem, especially due to the mismatch between the graphs used…

机器学习 · 计算机科学 2025-08-05 Zhuomin Chen , Jingchao Ni , Hojat Allah Salehi , Xu Zheng , Dongsheng Luo

Graph convolutional network (GCN) is a powerful model studied broadly in various graph structural data learning tasks. However, to mitigate the over-smoothing phenomenon, and deal with heterogeneous graph structural data, the design of GCN…

机器学习 · 统计学 2024-12-12 Jia Cai , Zhilong Xiong , Shaogao Lv

We revisit a simple model class for machine learning on graphs, where a random walk on a graph produces a machine-readable record, and this record is processed by a deep neural network to directly make vertex-level or graph-level…

机器学习 · 计算机科学 2025-03-06 Jinwoo Kim , Olga Zaghen , Ayhan Suleymanzade , Youngmin Ryou , Seunghoon Hong

Recently, graph convolutional networks (GCNs) have shown great potential for the task of graph matching. It can integrate graph node feature embedding, node-wise affinity learning and matching optimization together in a unified end-to-end…

计算机视觉与模式识别 · 计算机科学 2019-11-19 Bo Jiang , Pengfei Sun , Jin Tang , Bin Luo

Graph filters are a staple tool for processing signals over graphs in a multitude of downstream tasks. However, they are commonly designed for graphs with a fixed number of nodes, despite real-world networks typically grow over time. This…

机器学习 · 计算机科学 2024-09-12 Bishwadeep Das , Elvin Isufi

Web-based interactions can be frequently represented by an attributed graph, and node clustering in such graphs has received much attention lately. Multiple efforts have successfully applied Graph Convolutional Networks (GCN), though with…

机器学习 · 计算机科学 2024-11-21 Xiang Li , Dong Li , Ruoming Jin , Gagan Agrawal , Rajiv Ramnath

Graph neural networks (GNNs) hold the promise of learning efficient representations of graph-structured data, and one of its most important applications is semi-supervised node classification. However, in this application, GNN frameworks…

机器学习 · 计算机科学 2023-05-04 Jiaqi Sun , Lin Zhang , Shenglin Zhao , Yujiu Yang

The complicated syntax structure of natural language is hard to be explicitly modeled by sequence-based models. Graph is a natural structure to describe the complicated relation between tokens. The recent advance in Graph Neural Networks…

计算与语言 · 计算机科学 2019-09-19 Wei Li , Shuheng Li , Shuming Ma , Yancheng He , Deli Chen , Xu Sun

Graph convolutional networks (GCNs) have shown promising results in processing graph data by extracting structure-aware features. This gave rise to extensive work in geometric deep learning, focusing on designing network architectures that…

机器学习 · 计算机科学 2022-01-20 Yimeng Min , Frederik Wenkel , Guy Wolf

Graph signals are functions of the underlying graph. When the edge-weight between a pair of nodes is high, the corresponding signals generally have a higher correlation. As a result, the signals can be represented in terms of a graph-based…

信号处理 · 电气工程与系统科学 2024-09-09 Rishabh Ravi , Kaushani Majumder , Kalp Vyas , Satish Mulleti

Sparse models for high-dimensional linear regression and machine learning have received substantial attention over the past two decades. Model selection, or determining which features or covariates are the best explanatory variables, is…

机器学习 · 统计学 2019-10-15 Yuan Li , Benjamin Mark , Garvesh Raskutti , Rebecca Willett , Hyebin Song , David Neiman

We introduce a novel stochastic regularization technique for deep neural networks, which decomposes a layer into multiple branches with different parameters and merges stochastically sampled combinations of the outputs from the branches…

机器学习 · 计算机科学 2019-10-04 Wonpyo Park , Paul Hongsuck Seo , Bohyung Han , Minsu Cho

Message passing neural networks iteratively generate node embeddings by aggregating information from neighboring nodes. With increasing depth, information from more distant nodes is included. However, node embeddings may be unable to…

机器学习 · 计算机科学 2024-03-29 Franka Bause , Samir Moustafa , Johannes Langguth , Wilfried N. Gansterer , Nils M. Kriege

Graph neural networks (GNNs) are able to leverage the structure of graph data by passing messages along the edges of the graph. While this allows GNNs to learn features depending on the graph structure, for certain graph topologies it leads…

机器学习 · 计算机科学 2023-02-17 Kedar Karhadkar , Pradeep Kr. Banerjee , Guido Montúfar

Recently, one has seen a surge of interest in developing such methods including ones for learning such representations for (undirected) graphs (while preserving important properties). However, most of the work to date on embedding graphs…

社会与信息网络 · 计算机科学 2018-11-30 Jiankai Sun , Srinivasan Parthasarathy

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…

机器学习 · 计算机科学 2020-09-25 Yihao Chen , Xin Tang , Xianbiao Qi , Chun-Guang Li , Rong Xiao