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Networks, which represent agents and interactions between them, arise in myriad applications throughout the sciences, engineering, and even the humanities. To understand large-scale structure in a network, a common task is to cluster a…

社会与信息网络 · 计算机科学 2019-05-22 Zachary M. Boyd , Mason A. Porter , Andrea L. Bertozzi

Bayesian hierarchical modeling is a natural framework to effectively integrate data and borrow information across groups. In this paper, we address problems related to density estimation and identifying clusters across related groups, by…

统计方法学 · 统计学 2025-10-29 Huizi Zhang , Sara Wade , Natalia Bochkina

The stochastic block model (SBM) is a widely used framework for community detection in networks, where the network structure is typically represented by an adjacency matrix. However, conventional SBMs are not directly applicable to an…

机器学习 · 统计学 2023-10-18 Jie Jian , Mu Zhu , Peijun Sang

High dimensional and heterogeneous count data are collected in various applied fields. In this paper, we look closely at high-resolution sequencing data on the microbiome, which have enabled researchers to study the genomes of entire…

统计方法学 · 统计学 2024-01-12 Veronica Vinciotti , Pariya Behrouzi , Reza Mohammadi

The stochastic block model (SBM) is a generative model revealing macroscopic structures in graphs. Bayesian methods are used for (i) cluster assignment inference and (ii) model selection for the number of clusters. In this paper, we study…

机器学习 · 计算机科学 2016-02-09 Kohei Hayashi , Takuya Konishi , Tatsuro Kawamoto

Network estimation and variable selection have been extensively studied in the statistical literature, but only recently have those two challenges been addressed simultaneously. In this paper, we seek to develop a novel method to…

统计方法学 · 统计学 2024-06-11 Nathan Osborne , Christine B. Peterson , Marina Vannucci

We present a proof-of-concept of a model comparison approach for analyzing spatio-temporal observations of interacting populations. Our model variants are a collection of structurally similar Bayesian networks. Their distinct Noisy-Or…

统计方法学 · 统计学 2024-10-08 Nat Kendal-Freedman , Joseph Victor Fiorillo Meleshko , Aaron Yip , Brian Ingalls

Advances in cellular imaging technologies, especially those based on fluorescence in situ hybridization (FISH) now allow detailed visualization of the spatial organization of human or bacterial cells. Quantifying this spatial organization…

Recent advances in bioinformatics have made high-throughput microbiome data widely available, and new statistical tools are required to maximize the information gained from these data. For example, analysis of high-dimensional microbiome…

统计方法学 · 统计学 2017-03-23 Neal S. Grantham , Brian J. Reich , Elizabeth T. Borer , Kevin Gross

Stochastic Block Models (SBMs) are a fundamental tool for community detection in network analysis. But little theoretical work exists on the statistical performance of Bayesian SBMs, especially when the community count is unknown. This…

统计理论 · 数学 2021-01-19 Sheng Jiang , Surya Tokdar

The microbiome constitutes a complex microbial ecology of interacting components that regulates important pathways in the host. Measurements of microbial abundances are key to learning the intricate network of interactions amongst microbes.…

统计方法学 · 统计学 2024-06-17 Veronica Vinciotti , Ernst Wit , Francisco Richter

In this paper, we consider the statistical analysis of a protein interaction network. We propose a Bayesian model that uses a hierarchy of probabilistic assumptions about the way proteins interact with one another in order to: (i) identify…

分子网络 · 定量生物学 2007-11-15 Edoardo M Airoldi , David M Blei , Stephen E Fienberg , Eric P Xing

The analysis of data from multiple experiments, such as observations of several individuals, is commonly approached using mixed-effects models, which account for variation between individuals through hierarchical representations. This makes…

统计计算 · 统计学 2026-03-05 Henrik Häggström , Sebastian Persson , Marija Cvijovic , Umberto Picchini

Recent advances in metagenomics have revealed macroecological patterns or "laws" describing robust statistical regularities across microbial communities. Stochastic logistic models (SLMs), which treat species as independent -- akin to ideal…

Human associated microbial communities exert tremendous influence over human health and disease. With modern metagenomic sequencing methods it is possible to follow the relative abundance of microbes in a community over time. These…

定量方法 · 定量生物学 2015-06-18 Charles K. Fisher , Pankaj Mehta

We introduce a novel class of Bayesian mixtures for normal linear regression models which incorporates a further Gaussian random component for the distribution of the predictor variables. The proposed cluster-weighted model aims to…

统计方法学 · 统计学 2026-05-26 Panagiotis Papastamoulis , Konstantinos Perrakis

It is well recognised that animal and plant pathogens form complex ecological communities of interacting organisms within their hosts. Although community ecology approaches have been applied to determine pathogen interactions at the…

Microorganisms play a critical role in host health. The advancement of high-throughput sequencing technology provides opportunities for a deeper understanding of microbial interactions. However, due to the limitations of 16S ribosomal RNA…

统计方法学 · 统计学 2021-05-12 Hee Cheol Chung , Irina Gaynanova , Yang Ni

Mixture models provide a flexible representation of heterogeneity in a finite number of latent classes. From the Bayesian point of view, Markov Chain Monte Carlo methods provide a way to draw inferences from these models. In particular,…

统计方法学 · 统计学 2020-05-06 Carolina Valani Cavalcante , Kelly Cristina Mota Gonçalves

Most real-world networks evolve over time. Existing literature proposes models for dynamic networks that are either unlabeled or assumed to have a single membership structure. On the other hand, a new family of Mixed Membership Stochastic…

机器学习 · 计算机科学 2023-04-13 Gaël Poux-Médard , Julien Velcin , Sabine Loudcher