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Human social behaviour is governed by complex interactions shaped by uncertainty, causality, and group dynamics. We propose Causal Spherical Hypergraph Networks (Causal-SphHN), a principled framework for socially grounded prediction that…

Machine Learning · Computer Science 2025-06-24 Anoushka Harit , Zhongtian Sun

A plethora of networks is being collected in a growing number of fields, including disease transmission, international relations, social interactions, and others. As data streams continue to grow, the complexity associated with these highly…

Machine Learning · Statistics 2018-09-11 Daniele Durante , Nabanita Mukherjee , Rebecca C. Steorts

We demonstrate that a number of sociology models for social network dynamics can be viewed as continuous time Bayesian networks (CTBNs). A sampling-based approximate inference method for CTBNs can be used as the basis of an…

Social and Information Networks · Computer Science 2012-05-14 Yu Fan , Christian R. Shelton

The increasing prevalence of multiplex networks has spurred a critical need to take into account potential dependencies across different layers, especially when the goal is community detection, which is a fundamental learning task in…

Applications · Statistics 2024-09-19 Zhumengmeng Jin , Juan Sosa , Shangchen Song , Brenda Betancourt

Undirected graphical models are widely used in statistics, physics and machine vision. However Bayesian parameter estimation for undirected models is extremely challenging, since evaluation of the posterior typically involves the…

Computation · Statistics 2012-03-19 Richard G. Everitt

In this chapter we review some of the most recent computational advances in the rapidly expanding field of statistical social network analysis using the R open-source software. In particular we will focus on Bayesian estimation for two…

Computation · Statistics 2015-04-14 Alberto Caimo , Isabella Gollini

Regression for spatially dependent outcomes poses many challenges, for inference and for computation. Non-spatial models and traditional spatial mixed-effects models each have their advantages and disadvantages, making it difficult for…

Methodology · Statistics 2017-08-02 John Hughes

Modeling the energy and forces of atomic systems is a fundamental problem in computational chemistry with the potential to help address many of the world's most pressing problems, including those related to energy scarcity and climate…

Spectral embedding of network adjacency matrices often produces node representations living approximately around low-dimensional submanifold structures. In particular, hidden substructure is expected to arise when the graph is generated…

Machine Learning · Statistics 2022-06-27 Francesco Sanna Passino , Nicholas A. Heard

Bayesian analysis of state-space models includes computing the posterior distribution of the system's parameters as well as filtering, smoothing, and predicting the system's latent states. When the latent states wander around $\mathbb{R}^n$…

Methodology · Statistics 2013-12-24 Jesse Windle , Carlos M. Carvalho

Network data enriched with textual information, referred to as text networks, arise in a wide range of applications, including email communications, scientific collaborations, and legal contracts. In such settings, both the structure of…

Methodology · Statistics 2025-05-09 Maoyu Zhang , Biao Cai , Dong Li , Xiaoyue Niu , Jingfei Zhang

interpretable, and well understood models that are routinely employed even though, as is revealed through prior and posterior predictive checks, these can poorly characterise the spatial heterogeneity in the underlying process of interest.…

Machine Learning · Statistics 2024-04-08 Andrew Zammit-Mangion , Michael D. Kaminski , Ba-Hien Tran , Maurizio Filippone , Noel Cressie

Studies on social networks have proved that endogenous and exogenous factors influence dynamics. Two streams of modeling exist on explaining the dynamics of social networks: 1) models predicting links through network properties, and 2)…

Social and Information Networks · Computer Science 2012-10-22 Julie M. Birkholz , Rena Bakhshi , Ravindra Harige , Maarten van Steen , Peter Groenewegen

The aim of this paper is to study the derivation of appropriate meso- and macroscopic models for interactions as appearing in social processes. There are two main characteristics the models take into account, namely a network structure of…

Analysis of PDEs · Mathematics 2020-06-30 Martin Burger

Relational events are a type of social interactions, that sometimes are referred to as dynamic networks. Its dynamics typically depends on emerging patterns, so-called endogenous variables, or external forces, referred to as exogenous…

Social and Information Networks · Computer Science 2023-03-31 Igor Artico , Ernst Wit

Multidimensional network data can have different levels of complexity, as nodes may be characterized by heterogeneous individual-specific features, which may vary across the networks. This paper introduces a class of models for…

Methodology · Statistics 2021-04-01 Silvia D'Angelo , Marco Alfò , Thomas Brendan Murphy

Latent space models are widely used in statistical network analysis and are often fit by Markov chain Monte Carlo. However, posterior summaries of latent coordinates are not canonical because the likelihood depends only on pairwise…

Methodology · Statistics 2026-04-06 Kisung You , Mauro Giuffrè

Deep neural network models have become ubiquitous in recent years, and have been applied to nearly all areas of science, engineering, and industry. These models are particularly useful for data that have strong dependencies in space (e.g.,…

Machine Learning · Statistics 2022-06-07 Christopher K. Wikle , Andrew Zammit-Mangion

In the past several years, social media (e.g., Twitter and Facebook) has been experiencing a spectacular rise and popularity, and becoming a ubiquitous discourse for content sharing and social networking. With the widespread of mobile…

Social and Information Networks · Computer Science 2019-08-17 Guofeng Cao , Shaowen Wang , Myunghwa Hwang , Anand Padmanabhan , Zhenhua Zhang , Kiumars Soltani

The latent position cluster model is a popular model for the statistical analysis of network data. This model assumes that there is an underlying latent space in which the actors follow a finite mixture distribution. Moreover, actors which…

Computation · Statistics 2017-02-02 Caitriona Ryan , Jason Wyse , Nial Friel