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Exponential random graph models (ERGMs), also known as p* models, have been utilized extensively in the social science literature to study complex networks and how their global structure depends on underlying structural components. However,…

Applications · Statistics 2015-05-19 Sean L. Simpson , Satoru Hayasaka , Paul J. Laurienti

Substantive research in the Social Sciences regularly investigates signed networks, where edges between actors are either positive or negative. For instance, schoolchildren can be friends or rivals, just as countries can cooperate or fight…

Social and Information Networks · Computer Science 2025-06-18 Cornelius Fritz , Marius Mehrl , Paul W. Thurner , Göran kauermann

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

The application of network analysis has found great success in a wide variety of disciplines; however, the popularity of these approaches has revealed the difficulty in handling networks whose complexity scales rapidly. One of the main…

Methodology · Statistics 2023-10-24 Anna Malinovskaya , Philipp Otto

There has been a recent surge in learning generative models for graphs. While impressive progress has been made on static graphs, work on generative modeling of temporal graphs is at a nascent stage with significant scope for improvement.…

Machine Learning · Computer Science 2022-08-26 Shubham Gupta , Sahil Manchanda , Srikanta Bedathur , Sayan Ranu

Given the growing number of available tools for modeling dynamic networks, the choice of a suitable model becomes central. The goal of this survey is to provide an overview of tie-oriented dynamic network models. The survey is focused on…

Social and Information Networks · Computer Science 2022-01-05 Cornelius Fritz , Michael Lebacher , Göran Kauermann

Conventionally, pairwise relationships between nodes are considered to be the fundamental building blocks of complex networks. However, over the last decade the overabundance of certain sub-network patterns, so called motifs, has attracted…

Physics and Society · Physics 2015-01-28 Marco Winkler , Joerg Reichardt

Exponential random graph models (ERGMs) are a widely used framework for network data, enabling hypothesis testing on the structural mechanisms underlying observed networks. Bayesian ERGMs provide principled uncertainty quantification and…

Methodology · Statistics 2026-05-26 Alberto Caimo , Isabella Gollini

Analysis of the structure of biological networks often uses statistical tests to establish the over-representation of motifs, which are thought to be important building blocks of such networks, related to their biological functions.…

Molecular Networks · Quantitative Biology 2021-11-24 Alex Stivala , Alessandro Lomi

Group-based brain connectivity networks have great appeal for researchers interested in gaining further insight into complex brain function and how it changes across different mental states and disease conditions. Accurately constructing…

Applications · Statistics 2013-03-05 Sean L. Simpson , Malaak N. Moussa , Paul J. Laurienti

Temporal graphs represent the dynamic relationships among entities and occur in many real life application like social networks, e commerce, communication, road networks, biological systems, and many more. They necessitate research beyond…

Machine Learning · Computer Science 2022-08-26 Shubham Gupta , Srikanta Bedathur

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

Exponential Random Graph Models (ERGM) behave peculiar in large networks with thousand(s) of actors (nodes). Standard models containing two-star or triangle counts as statistics are often unstable leading to completely full or empty…

Applications · Statistics 2016-04-19 Stephanie Thiemichen , Göran Kauermann

Networks representing social, biological, technological or other systems are often characterized by higher-order interaction involving any number of nodes. Temporal hypergraphs are given by ordered sequences of hyperedges representing sets…

Physics and Society · Physics 2026-02-27 Jürgen Lerner , Marian-Gabriel Hâncean , Matjaz Perc

Exponential-family Random Graph Models (ERGMs) constitute a large statistical framework for modeling sparse and dense random graphs, short- and long-tailed degree distributions, covariates, and a wide range of complex dependencies. Special…

Methodology · Statistics 2021-05-21 Michael Schweinberger , Pavel N. Krivitsky , Carter T. Butts , Jonathan Stewart

Social networks have become an inseparable part of human life and processing them in an efficient manner is a top priority in the study of networks. These networks are highly dynamic and they are growing incessantly. Inspired by the concept…

Social and Information Networks · Computer Science 2020-12-04 Sara Ahmadian , Shahrzad Haddadan

Temporal graph learning is pivotal for deciphering dynamic systems, where the core challenge lies in explicitly modeling the underlying evolving patterns that govern network transformation. However, prevailing methods are predominantly…

Machine Learning · Computer Science 2026-02-20 Yijun Ma , Zehong Wang , Weixiang Sun , Yanfang Ye

Exponential-family random graph models (ERGMs) are probabilistic network models that are parametrized by sufficient statistics based on structural (i.e., graph-theoretic) properties. The ergm package for the R statistical computing system…

Social and Information Networks · Computer Science 2015-06-24 Omer Nebil Yaveroglu , Sean M. Fitzhugh , Maciej Kurant , Athina Markopoulou , Carter T. Butts , Natasa Przulj

Temporal Knowledge Graph (TKG) is an efficient method for describing the dynamic development of facts along a timeline. Most research on TKG reasoning (TKGR) focuses on modelling the repetition of global facts and designing patterns of…

Artificial Intelligence · Computer Science 2025-07-03 Yuehang Si , Zefan Zeng , Jincai Huang , Qing Cheng

The growing availability of network data and of scientific interest in distributed systems has led to the rapid development of statistical models of network structure. Typically, however, these are models for the entire network, while the…

Statistics Theory · Mathematics 2022-03-18 Cosma Rohilla Shalizi , Alessandro Rinaldo