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Random walk centrality is a fundamental metric in graph mining for quantifying node importance and influence, defined as the weighted average of hitting times to a node from all other nodes. Despite its ability to capture rich graph…

Artificial Intelligence · Computer Science 2025-10-24 Changan Liu , Zixuan Xie , Ahad N. Zehmakan , Zhongzhi Zhang

It is not until recently that graph neural networks (GNNs) are adopted to perform graph representation learning, among which, those based on the aggregation of features within the neighborhood of a node achieved great success. However,…

Machine Learning · Computer Science 2019-12-10 Yilun Jin , Guojie Song , Chuan Shi

Graph neural networks (GNNs) learn to represent nodes by aggregating information from their neighbors. As GNNs increase in depth, their receptive field grows exponentially, leading to high memory costs. Several existing methods address this…

Machine Learning · Computer Science 2025-07-16 Taraneh Younesian , Daniel Daza , Emile van Krieken , Thiviyan Thanapalasingam , Peter Bloem

The potential for machine learning systems to amplify social inequities and unfairness is receiving increasing popular and academic attention. Much recent work has focused on developing algorithmic tools to assess and mitigate such…

Existing approaches for graph neural networks commonly suffer from the oversmoothing issue, regardless of how neighborhoods are aggregated. Most methods also focus on transductive scenarios for fixed graphs, leading to poor generalization…

Machine Learning · Computer Science 2020-06-25 Kyuyong Shin , Wonyoung Shin , Jung-Woo Ha , Sunyoung Kwon

Graph Neural Networks have become one of the indispensable tools to learn from graph-structured data, and their usefulness has been shown in wide variety of tasks. In recent years, there have been tremendous improvements in architecture…

Machine Learning · Statistics 2021-11-15 Sunil Kumar Maurya , Xin Liu , Tsuyoshi Murata

Predicting the occurrence of links is a fundamental problem in networks. In the link prediction problem we are given a snapshot of a network and would like to infer which interactions among existing members are likely to occur in the near…

Social and Information Networks · Computer Science 2010-11-19 L. Backstrom , J. Leskovec

Graph Neural Networks have emerged as a useful tool to learn on the data by applying additional constraints based on the graph structure. These graphs are often created with assumed intrinsic relations between the entities. In recent years,…

Machine Learning · Statistics 2021-05-18 Sunil Kumar Maurya , Xin Liu , Tsuyoshi Murata

Recent advances in neural networks have solved common graph problems such as link prediction, node classification, node clustering, node recommendation by developing embeddings of entities and relations into vector spaces. Graph embeddings…

Social and Information Networks · Computer Science 2021-11-19 Archit Parnami , Mayuri Deshpande , Anant Kumar Mishra , Minwoo Lee

Graph neural networks (GNNs) have achieved great success in many graph-based tasks. Much work is dedicated to empowering GNNs with the adaptive locality ability, which enables measuring the importance of neighboring nodes to the target node…

Machine Learning · Computer Science 2021-07-01 Haifeng Li , Jun Cao , Jiawei Zhu , Yu Liu , Qing Zhu , Guohua Wu

Robustness is a critical measure of the resilience of large networked systems, such as transportation and communication networks. Most prior works focus on the global robustness of a given graph at large, e.g., by measuring its overall…

Social and Information Networks · Computer Science 2015-01-09 Hau Chan , Shuchu Han , Leman Akoglu

Random walks are fundamental tools for analyzing complex networked systems, including social networks, biological systems, and communication infrastructures. While classical random walks focus on pairwise interactions, many real-world…

Systems and Control · Electrical Eng. & Systems 2026-03-13 Anqi Dong , Anzhi Sheng , Xin Mao , Can Chen

In this paper analogies between different (dis)similarity matrices are derived. These matrices, which are connected to path enumeration and random walks, are used in community detection methods or in computation of centrality measures for…

Physics and Society · Physics 2015-03-20 J. K. Ochab

Learning graph-structured data with graph neural networks (GNNs) has been recently emerging as an important field because of its wide applicability in bioinformatics, chemoinformatics, social network analysis and data mining. Recent GNN…

Machine Learning · Computer Science 2021-12-16 Cheolhyeong Kim , Haeseong Moon , Hyung Ju Hwang

In the study of small and large networks it is customary to perform a simple random walk, where the random walker jumps from one node to one of its neighbours with uniform probability. The properties of this random walk are intimately…

Data Analysis, Statistics and Probability · Physics 2013-09-18 Jean-Charles Delvenne , Anne-Sophie Libert

Graph Neural Networks (GNNs) have shown advantages in various graph-based applications. Most existing GNNs assume strong homophily of graph structure and apply permutation-invariant local aggregation of neighbors to learn a representation…

Machine Learning · Computer Science 2022-01-04 Tianmeng Yang , Yujing Wang , Zhihan Yue , Yaming Yang , Yunhai Tong , Jing Bai

In recent years, graph neural networks (GNNs) have gained increasing popularity and have shown very promising results for data that are represented by graphs. The majority of GNN architectures are designed based on developing new…

Machine Learning · Statistics 2021-10-05 Anahita Iravanizad , Edgar Ivan Sanchez Medina , Martin Stoll

We propose a local-to-global strategy for graph machine learning and network analysis by defining certain local features and vector representations of nodes and then using them to learn globally defined metrics and properties of the nodes…

Social and Information Networks · Computer Science 2022-08-02 Vahid Shirbisheh

Nodes can be ranked according to their relative importance within the network. Ranking algorithms based on random walks are particularly useful because they connect topological and diffusive properties of the network. Previous methods based…

Physics and Society · Physics 2014-06-17 Luis Enrique Correa Rocha , Naoki Masuda

Network embedding aims to represent each node in a network as a low-dimensional feature vector that summarizes the given node's (extended) network neighborhood. The nodes' feature vectors can then be used in various downstream machine…

Social and Information Networks · Computer Science 2018-05-22 Shawn Gu , Tijana Milenkovic