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We address the problem of link reciprocity, the non-random presence of two mutual links between pairs of vertices. We propose a new measure of reciprocity that allows the ordering of networks according to their actual degree of correlation…

Disordered Systems and Neural Networks · Physics 2007-05-23 Diego Garlaschelli , Maria I. Loffredo

We consider the problem of link prediction, based on partial observation of a large network, and on side information associated to its vertices. The generative model is formulated as a matrix logistic regression. The performance of the…

Statistics Theory · Mathematics 2018-03-20 Nicolai Baldin , Quentin Berthet

The inherent intractability of probabilistic inference has hindered the application of belief networks to large domains. Noisy OR-gates [30] and probabilistic similarity networks [18, 17] escape the complexity of inference by restricting…

Artificial Intelligence · Computer Science 2013-03-08 Paul Dagum , Adam Galper

Analysis of criminal networks is inherently difficult because of the nature of the topic. Criminal networks are covert and most of the information is not publicly available. This leads to small datasets available for analysis. The available…

Social and Information Networks · Computer Science 2015-09-22 Emrah Budur , Seungmin Lee , Vein S. Kong

Missing link prediction of networks is of both theoretical interest and practical significance in modern science. In this paper, we empirically investigate a simple framework of link prediction on the basis of node similarity. We compare…

Data Analysis, Statistics and Probability · Physics 2009-10-19 Tao Zhou , Linyuan Lu , Yi-Cheng Zhang

We define and study the link prediction problem in bipartite networks, specializing general link prediction algorithms to the bipartite case. In a graph, a link prediction function of two vertices denotes the similarity or proximity of the…

Machine Learning · Computer Science 2010-07-27 Jérôme Kunegis , Ernesto W. De Luca , Sahin Albayrak

The lack of studying the complex organization of directed network usually limits to the understanding of underlying relationship between network structures and functions. Structural controllability and structural predictability, two…

Physics and Society · Physics 2022-03-31 Fei Jing , Chuang Liu , Jian-Liang Wu , Zi-Ke Zhang

Over the past years, embedding learning on networks has shown tremendous results in link prediction tasks for complex systems, with a wide range of real-life applications. Learning a representation for each node in a knowledge graph allows…

Machine Learning · Computer Science 2026-02-03 Orell Trautmann , Olaf Wolkenhauer , Clémence Réda

Predicting the emergence of future research collaborations between authors in academic social networks (SNs) is a very effective example that demonstrates the link prediction problem. This problem refers to predicting the potential…

Social and Information Networks · Computer Science 2025-09-23 Doaa Hassan , Mohammad Al Hasan

Mechanistic network models specify the mechanisms by which networks grow and change, allowing researchers to investigate complex systems using both simulation and analytical techniques. Unfortunately, it is difficult to write likelihoods…

Methodology · Statistics 2023-07-19 Jonathan Larson , Jukka-Pekka Onnela

So far, many network-structure-based link prediction methods have been proposed. However, these methods only highlight one or two structural features of networks, and then use the methods to predict missing links in different networks. The…

Physics and Society · Physics 2017-09-01 Chuang Ma , Zhong-Kui Bao , Hai-Feng Zhang

In order to maintain consistent quality of service, computer network engineers face the task of monitoring the traffic fluctuations on the individual links making up the network. However, due to resource constraints and limited access, it…

Applications · Statistics 2010-05-26 Joel Vaughan , Stilian A. Stoev , George Michailidis

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

Link prediction methods are frequently applied in recommender systems, e.g., to suggest citations for academic papers or friends in social networks. However, exposure bias can arise when users are systematically underexposed to certain…

Machine Learning · Computer Science 2021-06-15 Shantanu Gupta , Hao Wang , Zachary C. Lipton , Yuyang Wang

Most empirical studies of networks assume that the network data we are given represent a complete and accurate picture of the nodes and edges in the system of interest, but in real-world situations this is rarely the case. More often the…

Social and Information Networks · Computer Science 2019-01-02 M. E. J. Newman

Network embedding methods map a network's nodes to vectors in an embedding space, in such a way that these representations are useful for estimating some notion of similarity or proximity between pairs of nodes in the network. The quality…

Social and Information Networks · Computer Science 2022-02-02 Alexandru Mara , Jefrey Lijffijt , Tijl De Bie

Latent Euclidean embedding models a given network by representing each node in a Euclidean space, where the probability of two nodes sharing an edge is a function of the distances between the nodes. This implies that for two nodes to share…

Social and Information Networks · Computer Science 2019-09-19 Clifford Anderson-Bergman , Phan Nguyen , Jose Cadena Pico

Variational methods are extremely popular in the analysis of network data. Statistical guarantees obtained for these methods typically provide asymptotic normality for the problem of estimation of global model parameters under the…

Statistics Theory · Mathematics 2021-11-08 Solenne Gaucher , Olga Klopp

The prediction of both the existence and weight of network links at future time points is essential as complex networks evolve over time. Traditional methods, such as vector autoregression and factor models, have been applied to small,…

General Economics · Economics 2024-10-15 Shu Takahashi , Kento Yamamoto , Shumpei Kobayashi , Ryoma Kondo , Ryohei Hisano

In many real-world scenarios, it is nearly impossible to collect explicit social network data. In such cases, whole networks must be inferred from underlying observations. Here, we formulate the problem of inferring latent social networks…

Social and Information Networks · Computer Science 2010-10-28 Seth A. Myers , Jure Leskovec