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The statistical modeling of random networks has been widely used to uncover interaction mechanisms in complex systems and to predict unobserved links in real-world networks. In many applications, network connections are collected via…

Social and Information Networks · Computer Science 2023-03-21 Angus Chan , Tianxi Li

A large body of research on link prediction problem is devoted to finding missing links in single-layer (simplex) networks. The proposed link prediction methods compute a similarity measure between unconnected node pairs based on the…

We consider the estimation of high-dimensional network structures from partially observed Markov random field data using a penalized pseudo-likelihood approach. We fit a misspecified model obtained by ignoring the missing data problem. We…

Statistics Theory · Mathematics 2011-08-16 Yves F. Atchade

Real-world network datasets are typically obtained in ways that fail to capture all edges. The patterns of missing data are often non-uniform as they reflect biases and other shortcomings of different data collection methods. Nevertheless,…

Dynamical Systems · Mathematics 2025-04-25 Xie He , Amir Ghasemian , Eun Lee , Alice Schwarze , Aaron Clauset , Peter J. Mucha

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

We consider the link prediction problem in a partially observed network, where the objective is to make predictions in the unobserved portion of the network. Many existing methods reduce link prediction to binary classification problem.…

Machine Learning · Statistics 2016-02-23 Bopeng Li , Sougata Chaudhuri , Ambuj Tewari

This paper analyzes a semiparametric model of network formation in the presence of unobserved agent-specific heterogeneity. The objective is to identify and estimate the preference parameters associated with homophily on observed attributes…

Econometrics · Economics 2020-09-01 Luis E. Candelaria

A temporal graph can be considered as a stream of links, each of which represents an interaction between two nodes at a certain time. On temporal graphs, link prediction is a common task, which aims to answer whether the query link is true…

Artificial Intelligence · Computer Science 2024-02-13 Bingqing Liu , Xikun Huang

Structural changes occur in dynamic networks quite frequently and its detection is an important question in many situations such as fraud detection or cybersecurity. Real-life networks are often incompletely observed due to individual…

Statistics Theory · Mathematics 2025-03-14 Farida Enikeeva , Olga Klopp

This study proposes a novel method for estimation and hypothesis testing in high-dimensional single-index models. We address a common scenario where the sample size and the dimension of regression coefficients are large and comparable.…

Statistics Theory · Mathematics 2024-04-30 Kazuma Sawaya , Yoshimasa Uematsu , Masaaki Imaizumi

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

Collaboration networks provide a method for examining the highly heterogeneous structure of collaborative communities. However, we still have limited theoretical understanding of how individual heterogeneity relates to network…

Physics and Society · Physics 2016-07-27 Katharine A. Anderson

We develop and evaluate a family of discrete-time logit-link (LLink) models (including fixed-effects and frailty extensions) to capture latent heterogeneity in repayment behaviour and quantify the effects of socio-temporal factors in…

Risk Management · Quantitative Finance 2025-08-12 Cedric H. A. Koffi , Viani Biatat Djeundje , Olivier Menoukeu Pamen

Outliers arise in networks due to different reasons such as fraudulent behavior of malicious users or default in measurement instruments and can significantly impair network analyses. In addition, real-life networks are likely to be…

Machine Learning · Statistics 2020-12-02 Solenne Gaucher , Olga Klopp , Geneviève Robin

Many real-world networks are known to exhibit facts that counter our knowledge prescribed by the theories on network creation and communication patterns. A common prerequisite in network analysis is that information on nodes and links will…

Physics and Society · Physics 2018-04-03 Guy Kelman , Eran Manes , Marco Lamieri , David Breé

We study the estimation of peer effects through social networks when researchers do not observe the entire network structure. Special cases include sampled networks, censored networks, and misclassified links. We assume that researchers can…

Econometrics · Economics 2025-09-11 Vincent Boucher , Aristide Houndetoungan

We investigate the increasingly prominent task of jointly inferring multiple networks from nodal observations. While most joint inference methods assume that observations are available at all nodes, we consider the realistic and more…

Signal Processing · Electrical Eng. & Systems 2025-12-17 Madeline Navarro , Samuel Rey , Andrei Buciulea , Antonio G. Marques , Santiago Segarra

Link prediction is pervasively employed to uncover the missing links in the snapshots of real-world networks, which are usually obtained from kinds of sampling methods. Contrarily, in the previous literature, in order to evaluate the…

Social and Information Networks · Computer Science 2014-10-28 Jichang Zhao , Xu Feng , Li Dong , Xiao Liang , Ke Xu

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

In this paper, I characterize the network formation process as a static game of incomplete information, where the latent payoff of forming a link between two individuals depends on the structure of the network, as well as private…

Econometrics · Economics 2024-04-22 Shaomin Wu