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Bipartite networks are widely used to encode the ecological interactions. Being able to compare the organization of bipartite networks is a first step toward a better understanding of how environmental factors shape community structure and…

Machine Learning · Statistics 2025-12-02 Louis Lacoste , Pierre Barbillon , Sophie Donnet

In Stochastic blockmodels, which are among the most prominent statistical models for cluster analysis of complex networks, clusters are defined as groups of nodes with statistically similar link probabilities within and between groups. A…

Machine Learning · Statistics 2014-10-08 Tue Herlau , Mikkel N. Schmidt , Morten Mørup

Community detection in multi-layer networks is a fundamental task in complex network analysis across various areas like social, biological, and computer sciences. However, most existing algorithms assume that the number of communities is…

Methodology · Statistics 2026-02-26 Huan Qing

Detecting communities in networks and graphs is an important task across many disciplines such as statistics, social science and engineering. There are generally three different kinds of mixing patterns for the case of two communities:…

Methodology · Statistics 2023-10-10 Xiancheng Lin , Hao Chen

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…

Populations and Evolution · Quantitative Biology 2026-02-02 Rubén Calvo , Adrián Roig , Roberto Corral López , José Camacho-Mateu , José A. Cuesta , Miguel A. Muñoz

Markov Chain Monte Carlo (MCMC) algorithms are frequently used to perform inference under a Bayesian modeling framework. Convergence diagnostics, such as traceplots, the Gelman-Rubin potential scale reduction factor, and effective sample…

In urban spatial networks, there is an interdependency between neighborhood roles and the transportation methods between neighborhoods. In this paper, we classify docking stations in bicycle-sharing networks to gain insight into the human…

Social and Information Networks · Computer Science 2021-08-16 Jane Carlen , Jaume de Dios Pont , Cassidy Mentus , Shyr-Shea Chang , Stephanie Wang , Mason A. Porter

We consider the problem of multivariate density deconvolution where the distribution of a random vector needs to be estimated from replicates contaminated with conditionally heteroscedastic measurement errors. We propose a conceptually…

Methodology · Statistics 2022-11-29 Arkaprava Roy , Abhra Sarkar

The stochastic block model (SBM) is a fundamental tool for community detection in networks, yet the finite-sample performance of inference methods remains underexplored. We evaluate key algorithms-spectral methods, variational inference,…

Social and Information Networks · Computer Science 2024-12-06 Tianjun Ke , Zhiyu Xu

Investigation of species abundance has become a vital component of many ecological monitoring studies. The primary objective of these studies is to understand how specific species are distributed across the study domain, as well as…

Applications · Statistics 2015-05-12 Guohui Wu , Scott H. Holan , Charles H. Nilon , Christopher K. Wikle

The mean field variational Bayes method is becoming increasingly popular in statistics and machine learning. Its iterative Coordinate Ascent Variational Inference algorithm has been widely applied to large scale Bayesian inference. See Blei…

Statistics Theory · Mathematics 2017-12-12 Anderson Y. Zhang , Harrison H. Zhou

We study the problem of community detection in multi-layer networks, where pairs of nodes can be related in multiple modalities. We introduce a general framework, i.e., mixture multi-layer stochastic block model (MMSBM), which includes many…

Social and Information Networks · Computer Science 2020-02-12 Bing-Yi Jing , Ting Li , Zhongyuan Lyu , Dong Xia

Detecting communities or the modular structure of real-life networks (e.g. a social network or a product purchase network) is an important task because the way a network functions is often determined by its communities. Traditional…

Social and Information Networks · Computer Science 2020-06-30 Swarup Chattopadhyay , Debasis Ganguly

A common method for delineating urban and suburban boundaries is to identify clusters of spatial units that are highly interconnected in a network of commuting flows, each cluster signaling a cohesive economic submarket. It is critical that…

Physics and Society · Physics 2024-05-09 Sebastian Morel-Balbi , Alec Kirkley

Blockmodels are a foundational tool for modeling community structure in networks, with the stochastic blockmodel (SBM), degree-corrected blockmodel (DCBM), and popularity-adjusted blockmodel (PABM) forming a natural hierarchy of increasing…

Methodology · Statistics 2025-12-23 Subhankar Bhadra , Minh Tang , Srijan Sengupta

Leaving posterior sensitivity concerns aside, non-identifiability of the parameters does not raise a difficulty for Bayesian inference as far as the posterior is proper, but multi-modality or flat regions of the posterior induced by the…

Econometrics · Economics 2025-12-22 Toru Kitagawa , Yizhou Kuang

Investigating relationships between response variables and covariates in areas such as environmental science, geoscience, and public health is an important endeavor. Based on a Bayesian mixture of finite mixtures model, we present a novel…

Methodology · Statistics 2023-06-06 Peng Zhao , Hou-Cheng Yang , Dipak K. Dey , Guanyu Hu

Modern phylogenetics research is often performed within a Bayesian framework, using sampling algorithms such as Markov chain Monte Carlo (MCMC) to approximate the posterior distribution. These algorithms require careful evaluation of the…

Fluctuating environments pose tremendous challenges to bacterial populations. It is observed in numerous bacterial species that individual cells can stochastically switch among multiple phenotypes for the population to survive in rapidly…

Molecular Networks · Quantitative Biology 2015-01-20 Chen Jia , Min-Ping Qian , Yu Kang , Da-Quan Jiang

Identifying edge-dense communities that are also well-connected is an important aspect of understanding community structure. Prior work has shown that community detection methods can produce poorly connected communities, and some can even…

Social and Information Networks · Computer Science 2025-02-17 Minhyuk Park , Daniel Wang Feng , Siya Digra , The-Anh Vu-Le , Lahari Anne , George Chacko , Tandy Warnow