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Across the sciences, the statistical analysis of networks is central to the production of knowledge on relational phenomena. Because of their ability to model the structural generation of networks, exponential random graph models are a…

Data Analysis, Statistics and Probability · Physics 2015-05-27 Bruce A. Desmarais , Skyler J. Cranmer

Traditional network analysis focuses on binary edges, while real-world relationships are more nuanced, encompassing cooperation, neutrality, and conflict. The rise of negative edges in social media discussions spurred interest in analyzing…

Social and Information Networks · Computer Science 2026-02-03 Marc Schalberger , Cornelius Fritz

I propose an estimation algorithm for Exponential Random Graph Models (ERGM), a popular statistical network model for estimating the structural parameters of strategic network formation in economics and finance. Existing methods often…

Econometrics · Economics 2025-12-09 Yoon Choi

Bipartite graphs, representing two-mode networks, arise in many research fields. These networks have two disjoint node sets representing distinct entity types, for example persons and groups, with edges representing associations between the…

Methodology · Statistics 2025-08-08 Alex Stivala , Peng Wang , Alessandro Lomi

Temporal exponential random graph models (TERGM) are powerful statistical models that can be used to infer the temporal pattern of edge formation and elimination in complex networks (e.g., social networks). TERGMs can also be used in a…

Social and Information Networks · Computer Science 2024-09-17 Yifan Huang , Clayton Barham , Eric Page , PK Douglas

The exponential family random graph modeling (ERGM) framework provides a flexible approach for the statistical analysis of networks. As ERGMs typically involve normalizing factors that are costly to compute, practical inference relies on a…

Methodology · Statistics 2022-10-12 Fan Yin , Carter T. Butts

Probabilistic programming methods have revolutionised Bayesian inference, making it easier than ever for practitioners to perform Markov-chain-Monte-Carlo sampling from non-conjugate posterior distributions. Here we focus on Stan, arguably…

Computation · Statistics 2025-02-10 Clemens Pichler , Jack Jewson , Alejandra Avalos-Pacheco

Social networks as a representation of relational data, often possess multiple types of dependency structures at the same time. There could be clustering (beyond homophily) at a macro level as well as transitivity (a friend's friend is more…

Methodology · Statistics 2017-04-04 Ming Cao

With the advent of high-throughput sequencing (HTS) in molecular biology and medicine, the need for scalable statistical solutions for modeling complex biological systems has become of critical importance. The increasing number of platforms…

Molecular Networks · Quantitative Biology 2022-10-19 Fernando Palluzzi , Mario Grassi

Bayesian network modelling is a well adapted approach to study messy and highly correlated datasets which are very common in, e.g., systems epidemiology. A popular approach to learn a Bayesian network from an observational datasets is to…

Machine Learning · Statistics 2018-08-06 Gilles Kratzer , Reinhard Furrer

Graphical models are powerful tools to investigate complex dependency structures in high-throughput datasets. However, most existing graphical models make one of the two canonical assumptions: (i) a homogeneous graph with a common network…

Methodology · Statistics 2023-10-31 Tsung-Hung Yao , Yang Ni , Anindya Bhadra , Jian Kang , Veerabhadran Baladandayuthapani

Networks are ubiquitous in economic research on organizations, trade, and many other areas. However, while economic theory extensively considers networks, no general framework for their empirical modeling has yet emerged. We thus introduce…

Methodology · Statistics 2023-07-10 Giacomo De Nicola , Cornelius Fritz , Marius Mehrl , Göran Kauermann

Exponential family random graph models (ERGMs) can be understood in terms of a set of structural biases that act on an underlying reference distribution. This distribution determines many aspects of the behavior and interpretation of the…

Statistics Theory · Mathematics 2020-01-07 Carter T. Butts

Motivated by the increasing abundance of data describing real-world networks that exhibit dynamical features, we propose an extension of the Exponential Random Graph Models (ERGMs) that accommodates the time variation of its parameters.…

Applications · Statistics 2024-10-17 Domenico Di Gangi , Giacomo Bormetti , Fabrizio Lillo

Dynamic networks are commonly used in applications where relational data is observed over time. Statistical models for such data should capture not only the temporal dependencies between networks observed in time, but also the structural…

Methodology · Statistics 2017-04-10 Jihui Lee , Gen Li , James D. Wilson

Many popular models from the networks literature can be viewed through a common lens of contingency tables on network dyads, resulting in \emph{log-linear ERGMs}: exponential family models for random graphs whose sufficient statistics are…

Methodology · Statistics 2024-03-05 Elizabeth Gross , Sonja Petrović , Despina Stasi

The empirical Bayes normal means (EBNM) model is important to many areas of statistics, including (but not limited to) multiple testing, wavelet denoising, and gene expression analysis. There are several existing software packages that can…

Computation · Statistics 2024-04-02 Jason Willwerscheid , Peter Carbonetto , Matthew Stephens

Evidence theory is widely used in decision-making and reasoning systems. In previous research, Transferable Belief Model (TBM) is a commonly used evidential decision making model, but TBM is a non-preference model. In order to better fit…

Artificial Intelligence · Computer Science 2024-03-12 Tianxiang Zhan , Zhen Li , Yong Deng

This paper studies the unsupervised change point detection problem in time series of networks using the Separable Temporal Exponential-family Random Graph Model (STERGM). Inherently, dynamic network patterns are complex due to dyadic and…

Methodology · Statistics 2025-09-01 Yik Lun Kei , Hangjian Li , Yanzhen Chen , Oscar Hernan Madrid Padilla

Network dynamics may be viewed as a process of change in the edge structure of a network, in the vertex set on which edges are defined, or in both simultaneously. Though early studies of such processes were primarily descriptive, recent…

Methodology · Statistics 2011-03-29 Zack W. Almquist , Carter T. Butts