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Network robustness research aims at finding a measure to quantify network robustness. Once such a measure has been established, we will be able to compare networks, to improve existing networks and to design new networks that are able to…

Discrete Mathematics · Computer Science 2013-11-21 W. Ellens , R. E. Kooij

We propose algorithms to approximate directed information graphs. Directed information graphs are probabilistic graphical models that depict causal dependencies between stochastic processes in a network. The proposed algorithms identify…

Information Theory · Computer Science 2015-06-17 Christopher J. Quinn , Ali Pinar , Negar Kiyavash

Graph embedding methods aim at finding useful graph representations by mapping nodes to a low-dimensional vector space. It is a task with important downstream applications, such as link prediction, graph reconstruction, data visualization,…

Machine Learning · Computer Science 2022-09-13 Said Kerrache , Hafida Benhidour

Proximity measures on graphs have a variety of applications in network analysis, including community detection. Previously they have been mainly studied in the context of networks without attributes. If node attributes are taken into…

Social and Information Networks · Computer Science 2022-12-06 Rinat Aynulin , Pavel Chebotarev

Within network analysis, the analytical maximum entropy framework has been very successful for different tasks as network reconstruction and filtering. In a recent paper, the same framework was used for link-prediction for monopartite…

Complex networks are graphs representing real-life systems that exhibit unique characteristics not found in purely regular or completely random graphs. The study of such systems is vital but challenging due to the complexity of the…

Social and Information Networks · Computer Science 2022-07-18 Hafida Benhidour , Lama Almeshkhas , Said Kerrache

Graph Neural Networks (GNNs) have emerged as a powerful technique for learning on relational data. Owing to the relatively limited number of message passing steps they perform -- and hence a smaller receptive field -- there has been…

Machine Learning · Computer Science 2022-06-27 Ameya Velingker , Ali Kemal Sinop , Ira Ktena , Petar Veličković , Sreenivas Gollapudi

Link prediction is a key aspect of graph machine learning, with applications as diverse as disease prediction, social network recommendations, and drug discovery. It involves predicting new links that may form between network nodes. Despite…

Machine Learning · Computer Science 2023-09-12 Haohui Lu , Shahadat Uddin

The link prediction task on knowledge graphs without explicit negative triples in the training data motivates the usage of rank-based metrics. Here, we review existing rank-based metrics and propose desiderata for improved metrics to…

Machine Learning · Computer Science 2022-04-20 Charles Tapley Hoyt , Max Berrendorf , Mikhail Galkin , Volker Tresp , Benjamin M. Gyori

Link prediction is a paradigmatic problem in network science, which aims at estimating the existence likelihoods of nonobserved links, based on known topology. After a brief introduction of the standard problem and metrics of link…

Data Analysis, Statistics and Probability · Physics 2021-12-14 Tao Zhou

The task of inferring the missing links in a graph based on its current structure is referred to as link prediction. Link prediction methods that are based on pairwise node similarity are well-established approaches in the literature. They…

Social and Information Networks · Computer Science 2020-08-21 Md Kamrul Islam , Sabeur Aridhi , Malika Smail-Tabbone

Graph Machine Learning (GML) has numerous applications, such as node/graph classification and link prediction, in real-world domains. Providing human-understandable explanations for GML models is a challenging yet fundamental task to foster…

Machine Learning · Computer Science 2023-08-04 Claudio Borile , Alan Perotti , André Panisson

We propose a link prediction algorithm that is based on spring-electrical models. The idea to study these models came from the fact that spring-electrical models have been successfully used for networks visualization. A good network…

Social and Information Networks · Computer Science 2019-06-12 Yana Kashinskaya , Egor Samosvat , Akmal Artikov

We propose novel recommendation algorithms to improve fairness in networks. Fairness is measured by how close different nodes are to influencers in the network. To allow for easy comparison of fairness across graphs of different sizes, our…

Social and Information Networks · Computer Science 2022-01-11 Naisha Agarwal

We present a new inference method based on approximate Bayesian computation for estimating parameters governing an entire network based on link-traced samples of that network. To do this, we first take summary statistics from an observed…

Computation · Statistics 2017-01-17 Jack Davis , Steven K. Thompson

The temporal dynamics of a complex system such as a social network or a communication network can be studied by understanding the patterns of link appearance and disappearance over time. A critical task along this understanding is to…

Social and Information Networks · Computer Science 2018-04-17 Mahmudur Rahman , Tanay Kumar Saha , Mohammad Al Hasan , Kevin S. Xu , Chandan K. Reddy

We analytically study proximity and distance properties of various kernels and similarity measures on graphs. This helps to understand the mathematical nature of such measures and can potentially be useful for recommending the adoption of…

Combinatorics · Mathematics 2018-08-17 Konstantin Avrachenkov , Pavel Chebotarev , Dmytro Rubanov

Understanding the structures why links are formed is an important and prominent research topic. In this paper, we therefore consider the link prediction problem in face-to-face contact networks, and analyze the predictability of new and…

Social and Information Networks · Computer Science 2014-07-09 Christoph Scholz , Martin Atzmueller , Gerd Stumme

As a fundamental problem in many different fields, link prediction aims to estimate the likelihood of an existing link between two nodes based on the observed information. Since this problem is related to many applications ranging from…

Physics and Society · Physics 2014-10-01 Hao Liao , An Zeng , Yi-Cheng Zhang

This article introduces a concept and measure of graph compartmentalization. This new measure allows for principled comparison between graphs of arbitrary structure, unlike existing measures such as graph modularity. The proposed measure is…

Social and Information Networks · Computer Science 2014-08-29 Matthew J. Denny