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We develop a new sampling method to estimate eigenvector centrality on incomplete networks. Our goal is to estimate this global centrality measure having at disposal a limited amount of data. This is the case in many real-world scenarios…

Social and Information Networks · Computer Science 2020-10-29 Nicolò Ruggeri , Caterina De Bacco

This paper investigates the quasi-maximum likelihood inference including estimation, model selection and diagnostic checking for linear double autoregressive (DAR) models, where all asymptotic properties are established under only…

Methodology · Statistics 2024-02-02 Hua Liu , Songhua Tan , Qianqian Zhu

One simple, and often very effective, way to attenuate the impact of nuisance parameters on maximum likelihood estimation of a parameter of interest is to recenter the profile score for that parameter. We apply this general principle to the…

Econometrics · Economics 2019-09-19 Federico Martellosio , Grant Hillier

This study introduces a novel approach for inferring social network structures using Aggregate Relational Data (ARD), addressing the challenge of limited detailed network data availability. By integrating ARD with variational approximation…

Econometrics · Economics 2025-09-04 Xunkang Tian

Data derived from remote sensing or numerical simulations often have a regular gridded structure and are large in volume, making it challenging to find accurate spatial models that can fill in missing grid cells or simulate the process…

Machine Learning · Statistics 2025-05-07 Sweta Rai , Douglas W. Nychka , Soutir Bandyopadhyay

Data in the form of networks are increasingly available in a variety of areas, yet statistical models allowing for parameter estimates with desirable statistical properties for sparse networks remain scarce. To address this, we propose the…

Statistics Theory · Mathematics 2020-12-18 Mingli Chen , Kengo Kato , Chenlei Leng

Structural equation models (SEMs) are widely used in sciences, ranging from economics to psychology, to uncover causal relationships underlying a complex system under consideration and estimate structural parameters of interest. We study…

Machine Learning · Statistics 2020-10-21 Luofeng Liao , You-Lin Chen , Zhuoran Yang , Bo Dai , Zhaoran Wang , Mladen Kolar

Social network analysis provides meaningful information about behavior of network members that can be used for diverse applications such as classification, link prediction. However, network analysis is computationally expensive because of…

Social and Information Networks · Computer Science 2018-07-30 Mohammad Mehdi Keikha , Maseud Rahgozar , Masoud Asadpour

Approximate Bayesian computation (ABC) is a simulation-based likelihood-free method applicable to both model selection and parameter estimation. ABC parameter estimation requires the ability to forward simulate datasets from a candidate…

Methodology · Statistics 2020-11-10 Louis Raynal , Sixing Chen , Antonietta Mira , Jukka-Pekka Onnela

Large data applications rely on storing data in massive, sparse graphs with millions to trillions of nodes. Graph-based methods, such as node prediction, aim for computational efficiency regardless of graph size. Techniques like localized…

Data Structures and Algorithms · Computer Science 2025-07-08 Yushen Huang , Ertai Luo , Reza Babenezhad , Yifan Sun

This paper considers an augmented double autoregressive (DAR) model, which allows null volatility coefficients to circumvent the over-parameterization problem in the DAR model. Since the volatility coefficients might be on the boundary, the…

Econometrics · Economics 2019-05-07 Feiyu Jiang , Dong Li , Ke Zhu

Modeling responses on the nodes of a large-scale network is an important task that arises commonly in practice. This paper proposes a community network vector autoregressive (CNAR) model, which utilizes the network structure to characterize…

Methodology · Statistics 2020-07-13 Elynn Y. Chen , Jianqing Fan , Xuening Zhu

According to standard econometric theory, Maximum Likelihood estimation (MLE) is the efficient estimation choice, however, it is not always a feasible one. In network diffusion models with unobserved signal propagation, MLE requires…

Econometrics · Economics 2023-09-06 L. S. Sanna Stephan

Many existing statistical and machine learning tools for social network analysis focus on a single level of analysis. Methods designed for clustering optimize a global partition of the graph, whereas projection based approaches (e.g. the…

The Big Data revolution is challenging the state-of-the-art statistical and econometric techniques not only for the computational burden connected with the high volume and speed which data are generated, but even more for the variety of…

Methodology · Statistics 2024-10-25 Giuseppe Arbia , Vincenzo Nardelli

Epidemic propagation on networks represents an important departure from traditional massaction models. However, the high-dimensionality of the exact models poses a challenge to both mathematical analysis and parameter inference. By using…

Quantitative Methods · Quantitative Biology 2023-02-07 István Z. Kiss , Luc Berthouze , Wasiur R. KhudaBukhsh

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

Unsupervised anomaly detection aims to build models to effectively detect unseen anomalies by only training on the normal data. Although previous reconstruction-based methods have made fruitful progress, their generalization ability is…

Machine Learning · Computer Science 2022-01-04 Yuxin Zhang , Jindong Wang , Yiqiang Chen , Han Yu , Tao Qin

Collecting complete network data is expensive, time-consuming, and often infeasible. Aggregated Relational Data (ARD), which capture information about a social network by asking a respondent questions of the form ``How many people with…

Methodology · Statistics 2022-10-24 Emily Breza , Arun G. Chandrasekhar , Shane Lubold , Tyler H. McCormick , Mengjie Pan

The methods of statistical physics are widely used for modelling complex networks. Building on the recently proposed Equilibrium Expectation approach, we derive a simple and efficient algorithm for maximum likelihood estimation (MLE) of…

Computation · Statistics 2020-02-12 Alexander Borisenko , Maksym Byshkin , Alessandro Lomi