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We investigate the generalizability of deep learning based on the sensitivity to input perturbation. We hypothesize that the high sensitivity to the perturbation of data degrades the performance on it. To reduce the sensitivity to…

Machine Learning · Statistics 2017-06-01 Yuichi Yoshida , Takeru Miyato

Sampling methods (e.g., node-wise, layer-wise, or subgraph) has become an indispensable strategy to speed up training large-scale Graph Neural Networks (GNNs). However, existing sampling methods are mostly based on the graph structural…

Machine Learning · Computer Science 2021-09-07 Weilin Cong , Rana Forsati , Mahmut Kandemir , Mehrdad Mahdavi

Heterogeneous graphs (HGs) also known as heterogeneous information networks have become ubiquitous in real-world scenarios; therefore, HG embedding, which aims to learn representations in a lower-dimension space while preserving the…

Social and Information Networks · Computer Science 2020-12-02 Xiao Wang , Deyu Bo , Chuan Shi , Shaohua Fan , Yanfang Ye , Philip S. Yu

Learning fair graph representations for downstream applications is becoming increasingly important, but existing work has mostly focused on improving fairness at the global level by either modifying the graph structure or objective function…

Social and Information Networks · Computer Science 2022-12-26 April Chen , Ryan Rossi , Nedim Lipka , Jane Hoffswell , Gromit Chan , Shunan Guo , Eunyee Koh , Sungchul Kim , Nesreen K. Ahmed

Since their introduction by Kipf and Welling in $2017$, a primary use of graph convolutional networks is transductive node classification, where missing labels are inferred within a single observed graph and its feature matrix. Despite the…

Machine Learning · Statistics 2025-09-09 Nils Detering , Luca Galimberti , Anastasis Kratsios , Giulia Livieri , A. Martina Neuman

This study investigates the robustness of graph embedding methods for community detection in the face of network perturbations, specifically edge deletions. Graph embedding techniques, which represent nodes as low-dimensional vectors, are…

Physics and Society · Physics 2025-08-05 Zhi-Feng Wei , Pablo Moriano , Ramakrishnan Kannan

In this study, we focus on the graph representation learning (a.k.a. network embedding) in attributed graphs. Different from existing embedding methods that treat the incorporation of graph structure and semantic as the simple combination…

Social and Information Networks · Computer Science 2023-05-12 Meng Qin

Network embedding is aimed at mapping nodes in a network into low-dimensional vector representations. Graph Neural Networks (GNNs) have received widespread attention and lead to state-of-the-art performance in learning node representations.…

Social and Information Networks · Computer Science 2023-03-17 Junjie Huang , Huawei Shen , Liang Hou , Xueqi Cheng

Spectral embedding is a procedure which can be used to obtain vector representations of the nodes of a graph. This paper proposes a generalisation of the latent position network model known as the random dot product graph, to allow…

Machine Learning · Statistics 2021-11-17 Patrick Rubin-Delanchy , Joshua Cape , Minh Tang , Carey E. Priebe

Embedding static graphs in low-dimensional vector spaces plays a key role in network analytics and inference, supporting applications like node classification, link prediction, and graph visualization. However, many real-world networks…

Machine Learning · Computer Science 2021-07-23 Claudio D. T. Barros , Matheus R. F. Mendonça , Alex B. Vieira , Artur Ziviani

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

A widely believed explanation for the remarkable generalization capacities of overparameterized neural networks is that the optimization algorithms used for training induce an implicit bias towards benign solutions. To grasp this…

Machine Learning · Computer Science 2025-12-19 Maria Matveev , Vit Fojtik , Hung-Hsu Chou , Gitta Kutyniok , Johannes Maly

Graph embedding provides a feasible methodology to conduct pattern classification for graph-structured data by mapping each data into the vectorial space. Various pioneering works are essentially coding method that concentrates on a…

Machine Learning · Computer Science 2022-10-04 Xue Liu , Dan Sun , Xiaobo Cao , Hao Ye , Wei Wei

Graph embedding is a central problem in social network analysis and many other applications, aiming to learn the vector representation for each node. While most existing approaches need to specify the neighborhood and the dependence form to…

Machine Learning · Computer Science 2018-06-06 Shupeng Gui , Xiangliang Zhang , Shuang Qiu , Mingrui Wu , Jieping Ye , Ji Liu

Graph Neural Networks (GNNs) have emerged as powerful tools for learning representations from structured data. Despite their growing popularity and success across various applications, GNNs encounter several challenges that limit their…

Machine Learning · Computer Science 2026-02-03 Yassine Abbahaddou

Node embedding learns a low-dimensional representation for each node in the graph. Recent progress on node embedding shows that proximity matrix factorization methods gain superb performance and scale to large graphs with millions of nodes.…

Machine Learning · Computer Science 2021-08-13 Xingyi Zhang , Kun Xie , Sibo Wang , Zengfeng Huang

Recent studies have experimentally shown that we can achieve in non-Euclidean metric space effective and efficient graph embedding, which aims to obtain the vertices' representations reflecting the graph's structure in the metric space.…

Machine Learning · Statistics 2023-05-16 Atsushi Suzuki , Atsushi Nitanda , Taiji Suzuki , Jing Wang , Feng Tian , Kenji Yamanishi

A common approach to solving prediction tasks on large networks, such as node classification or link prediction, begin by learning a Euclidean embedding of the nodes of the network, from which traditional machine learning methods can then…

Machine Learning · Statistics 2022-12-20 Andrew Davison

Graph Neural Networks (GNNs) have achieved notable success in learning from graph-structured data, owing to their ability to capture intricate dependencies and relationships between nodes. They excel in various applications, including…

Machine Learning · Computer Science 2023-11-29 Akansha A

Graphs are a natural abstraction for many problems where nodes represent entities and edges represent a relationship across entities. An important area of research that has emerged over the last decade is the use of graphs as a vehicle for…

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