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One of the major research questions regarding human microbiome studies is the feasibility of designing interventions that modulate the composition of the microbiome to promote health and cure disease. This requires extensive understanding…

Methodology · Statistics 2021-11-18 Matthew D. Koslovsky , Kristi L. Hoffman , Carrie R. Daniel , Marina Vannucci

Motivated by theoretical advancements in dimensionality reduction techniques we use a recent model, called Block Markov Chains, to conduct a practical study of clustering in real-world sequential data. Clustering algorithms for Block Markov…

Machine Learning · Computer Science 2022-10-05 Alexander Van Werde , Albert Senen-Cerda , Gianluca Kosmella , Jaron Sanders

This paper addresses the problem of community detection in networked data that combines link and content analysis. Most existing work combines link and content information by a generative model. There are two major shortcomings with the…

Social and Information Networks · Computer Science 2012-05-14 Tianbao Yang , Rong Jin , Yun Chi , Shenghuo Zhu

Discovery of communities in complex networks is a fundamental data analysis problem with applications in various domains. Most of the existing approaches have focused on discovering communities of nodes, while recent studies have shown…

Social and Information Networks · Computer Science 2013-03-20 Dongxiao He , Dayou Liu , Weixiongzhang , Di Jin , Bo Yang

In human microbiome studies, sequencing reads data are often summarized as counts of bacterial taxa at various taxonomic levels specified by a taxonomic tree. This paper considers the problem of analyzing two repeated measurements of…

Applications · Statistics 2017-02-17 Pixu Shi , Hongzhe Li

Designing effective algorithms for community detection is an important and challenging problem in {\em large-scale} graphs, studied extensively in the literature. Various solutions have been proposed, but many of them are centralized with…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-04-17 Reza Fathi , Anisur Rahaman Molla , Gopal Pandurangan

Network inference has been attracting increasing attention in several fields, notably systems biology, control engineering and biomedicine. To develop a therapy, it is essential to understand the connectivity of biochemical units and the…

Systems and Control · Electrical Eng. & Systems 2024-12-20 Junyang Jin , Ye Yuan , Jorge Goncalves

Bayesian sociality models provide a scalable and flexible alternative for network analysis, capturing degree heterogeneity through actor-specific parameters while mitigating the identifiability challenges of latent space models. This paper…

Methodology · Statistics 2025-03-20 Juan Sosa , Carlo Martínez

In this study we map out the large-scale structure of citation networks of science journals and follow their evolution in time by using stochastic block models (SBMs). The SBM fitting procedures are principled methods that can be used to…

Physics and Society · Physics 2017-05-02 Darko Hric , Kimmo Kaski , Mikko Kivelä

Metagenomics provides a powerful new tool set for investigating evolutionary interactions with the environment. However, an absence of model-based statistical methods means that researchers are often not able to make full use of this…

Quantitative Methods · Quantitative Biology 2013-06-27 John O'Brien , Xavier Didelot , Zamin Iqbal , LucasAmenga-Etego , Bartu Ahiska , Daniel Falush

A stochastic epidemic model is defined in which each individual belongs to a household, a secondary grouping (typically school or workplace) and also the community as a whole. Moreover, infectious contacts take place in these three settings…

Applications · Statistics 2009-08-17 Tom Britton , Theodore Kypraios , Philip O'Neill

Bayesian inference methods are applied within a Bayesian hierarchical modelling framework to the problems of joint state and parameter estimation, and of state forecasting. We explore and demonstrate the ideas in the context of a simple…

Applications · Statistics 2012-11-09 John Parslow , Noel Cressie , Edward P. Campbell , Emlyn Jones , Lawrence Murray

Modern network datasets are often composed of multiple layers, either as different views, time-varying observations, or independent sample units, resulting in collections of networks over the same set of vertices but with potentially…

Statistics Theory · Mathematics 2025-06-05 Joshua Agterberg , Zachary Lubberts , Jesús Arroyo

We present a Markov chain Monte Carlo scheme based on merges and splits of groups that is capable of efficiently sampling from the posterior distribution of network partitions, defined according to the stochastic block model (SBM). We…

Physics and Society · Physics 2020-07-14 Tiago P. Peixoto

Microorganisms are found in almost every environment, including the soil, water, air, and inside other organisms, like animals and plants. While some microorganisms cause diseases, most of them help in biological processes such as…

Machine Learning · Computer Science 2023-09-28 Daniel Agyapong , Jeffrey Ryan Propster , Jane Marks , Toby Dylan Hocking

Networks are a commonly used mathematical model to describe the rich set of interactions between objects of interest. Many clustering methods have been developed in order to partition such structures, among which several rely on underlying…

Methodology · Statistics 2014-05-13 P. Latouche , E. Birmelé , C. Ambroise

Mixture models are probabilistic models aimed at uncovering and representing latent subgroups within a population. In the realm of network data analysis, the latent subgroups of nodes are typically identified by their connectivity…

Methodology · Statistics 2020-05-27 Giacomo De Nicola , Benjamin Sischka , Göran Kauermann

A method was developed for Bayesian inference of species phylogeny using the multi-species coalescent model. To improve the mixing properties of the Markov chain Monte Carlo (MCMC) algorithm that traverses the space of species trees, we…

Populations and Evolution · Quantitative Biology 2015-12-15 Bruce Rannala , Ziheng Yang

We study the computational complexity of a Metropolis-Hastings algorithm for Bayesian community detection. We first establish a posterior strong consistency result for a natural prior distribution on stochastic block models under the…

Statistics Theory · Mathematics 2018-11-08 Bumeng Zhuo , Chao Gao

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
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