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Quantifying spatial and/or temporal associations in multivariate geolocated data of different types is achievable via spatial random effects in a Bayesian hierarchical model, but severe computational bottlenecks arise when spatial…

Methodology · Statistics 2024-04-02 Michele Peruzzi , David B. Dunson

Statistical clustering in dynamic networks aims to identify groups of nodes with similar or distinct internal connectivity patterns as the network evolves over time. While early research primarily focused on static Stochastic Block Models…

Applications · Statistics 2026-01-28 Gabriela Bayolo Soler , Miraine Dávila Felipe , Ghislaine Gayraud

The Dirichlet process (DP) is a fundamental mathematical tool for Bayesian nonparametric modeling, and is widely used in tasks such as density estimation, natural language processing, and time series modeling. Although MCMC inference…

Machine Learning · Statistics 2013-04-09 Dan Lovell , Jonathan Malmaud , Ryan P. Adams , Vikash K. Mansinghka

This paper proposes a logistic undirected network formation model which allows for assortative matching on observed individual characteristics and the presence of edge-wise fixed effects. We model the coefficients of observed…

Econometrics · Economics 2021-03-08 Shujie Ma , Liangjun Su , Yichong Zhang

In this work, we introduce a generalized framework for multiscale state-space modeling that incorporates nested nonlinear dynamics, with a specific focus on Bayesian learning under switching regimes. Our framework captures the complex…

Machine Learning · Statistics 2024-10-31 Nayely Vélez-Cruz , Manfred D. Laubichler

Being among the easiest ways to find meaningful structure from discrete data, Latent Dirichlet Allocation (LDA) and related component models have been applied widely. They are simple, computationally fast and scalable, interpretable, and…

Machine Learning · Statistics 2008-03-12 Janne Sinkkonen , Janne Aukia , Samuel Kaski

Analyzing crime events is crucial to understand crime dynamics and it is largely helpful for constructing prevention policies. Point processes specified on linear networks can provide a more accurate description of crime incidents by…

Applications · Statistics 2026-01-21 Sujeong Lee , Won Chang , Jorge Mateu , Heejin Lee , Jaewoo Park

In this work, we study the event occurrences of individuals interacting in a network. To characterize the dynamic interactions among the individuals, we propose a group network Hawkes process (GNHP) model whose network structure is observed…

Methodology · Statistics 2023-08-31 Guanhua Fang , Ganggang Xu , Haochen Xu , Xuening Zhu , Yongtao Guan

In this paper, we propose a novel parallel hierarchical Leiden-based algorithm for dynamic community detection. The algorithm, for a given batch update of edge insertions and deletions, partitions the network into communities using only a…

Social and Information Networks · Computer Science 2025-02-27 Grigoriy Bokov , Aleksandr Konovalov , Anna Uporova , Stanislav Moiseev , Ivan Safonov , Alexander Radionov

This paper proposes a nonparametric Bayesian method for exploratory data analysis and feature construction in continuous time series. Our method focuses on understanding shared features in a set of time series that exhibit significant…

Machine Learning · Statistics 2010-08-13 Suchi Saria , Daphne Koller , Anna Penn

Detecting the time evolution of the community structure of networks is crucial to identify major changes in the internal organization of many complex systems, which may undergo important endogenous or exogenous events. This analysis can be…

Physics and Society · Physics 2015-07-21 Clara Granell , Richard K. Darst , Alex Arenas , Santo Fortunato , Sergio Gómez

The increasing prevalence of relational data describing interactions among a target population has motivated a wide literature on statistical network analysis. In many applications, interactions may involve more than two members of the…

Methodology · Statistics 2021-11-03 Kathryn Turnbull , Simón Lunagómez , Christopher Nemeth , Edoardo Airoldi

Many real-world networks are complex dynamical systems, where both local (e.g., changing node attributes) and global (e.g., changing network topology) processes unfold over time. Local dynamics may provoke global changes in the network, and…

Machine Learning · Computer Science 2017-10-10 Wenzhe Li , Dong Guo , Greg Ver Steeg , Aram Galstyan

Network meta-analysis (NMA) synthesizes evidence for multiple treatments, but decisions on node formation can have important statistical implications including bias or inflated uncertainty. Existing data-driven methods often lack…

Methodology · Statistics 2025-06-30 Timothy Disher , Chris Cameron , Brian Hutton

Changes in the statistical properties of a stochastic process are typically assumed to occur via change-points, which demark instantaneous moments of complete and total change in process behavior. In cases where these transitions occur…

Machine Learning · Statistics 2022-05-06 Chris Browne

Infinite hidden Markov models provide a flexible framework for modelling time series with structural changes and complex dynamics, without requiring the number of latent states to be specified in advance. This flexibility is achieved…

Methodology · Statistics 2025-12-04 Federico P. Cortese , Luca Rossini

The Mixed-Membership Stochastic Blockmodel~(MMSB) is proposed as one of the state-of-the-art Bayesian relational methods suitable for learning the complex hidden structure underlying the network data. However, the current formulation of…

Machine Learning · Statistics 2020-02-04 Zheng Yu , Xuhui Fan , Marcin Pietrasik , Marek Reformat

The availability of relational data can offer new insights into the functioning of the economy. Nevertheless, modeling the dynamics in network data with multiple types of relationships is still a challenging issue. Stochastic block models…

Methodology · Statistics 2025-08-01 Ovielt Baltodano López , Roberto Casarin

Learning latent structure in complex networks has become an important problem fueled by many types of networked data originating from practically all fields of science. In this paper, we propose a new non-parametric Bayesian…

Social and Information Networks · Computer Science 2015-03-18 Morten Mørup , Mikkel N. Schmidt , Lars Kai Hansen

With the rapid advancement of information technology and data collection systems, large-scale spatial panel data presents new methodological and computational challenges. This paper introduces a dynamic spatial panel quantile model that…

Econometrics · Economics 2025-06-10 Tomohiro Ando , Jushan Bai , Kunpeng Li , Yong Song