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The interactions among the constituent members of a microbial community play a major role in determining the overall behavior of the community and the abundance levels of its members. These interactions can be modeled using a network whose…

Artificial Intelligence · Computer Science 2020-10-20 Sahar Tavakoli

Microbiomes, which are collections of interacting microbes in an environment, often substantially impact the environmental patches or living hosts that they occupy. In microbiome models, it is important to consider both the local dynamics…

Dynamical Systems · Mathematics 2025-07-18 Michael Johnson , Mason A. Porter

Multivariate count models are often justified by their ability to capture latent dependence, but researchers receive little guidance on when this added structure improves on simpler penalized marginal Poisson regression. We study this…

Machine Learning · Computer Science 2026-04-07 Daniel Agyapong , Julien Chiquet , Jane Marks , Toby Dylan Hocking

We develop a model in which interactions between nodes of a dynamic network are counted by non homogeneous Poisson processes. In a block modelling perspective, nodes belong to hidden clusters (whose number is unknown) and the intensity…

Machine Learning · Statistics 2017-07-11 Marco Corneli , Pierre Latouche , Fabrice Rossi

We propose a method for detecting significant interactions in very large multivariate spatial point patterns. This methodology develops high dimensional data understanding in the point process setting. The method is based on modelling the…

Methodology · Statistics 2017-10-25 Tuomas Rajala , David Murrell , Sofia Olhede

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…

Quantitative Methods · Quantitative Biology 2015-06-18 Charles K. Fisher , Pankaj Mehta

Quantification of microbial interactions from 16S rRNA and meta-genomic sequencing data is difficult due to their sparse nature, as well as the fact that the data only provides measures of relative abundance. In this paper, we propose using…

Methodology · Statistics 2021-11-04 Rebecca A. Deek , Hongzhe Li

We present a probabilistic model for learning from dynamic relational data, wherein the observed interactions among networked nodes are modeled via the Bernoulli Poisson link function, and the underlying network structure are characterized…

Social and Information Networks · Computer Science 2018-05-29 Sikun Yang , Heinz Koeppl

We develop a matrix-based approach to predict and verify indirect interactions in gene and protein regulatory networks. It is based on the approximate transitivity of indirect regulations (e.g. A regulates B and B regulates C often implies…

Quantitative Methods · Quantitative Biology 2007-11-27 Koon-Kiu Yan , Sergei Maslov , Ilya Mazo , Anton Yuryev

In this work, we introduce a new methodology for inferring the interaction structure of discrete valued time series which are Poisson distributed. While most related methods are premised on continuous state stochastic processes, in fact,…

Methodology · Statistics 2021-08-12 Jeremie Fish , Jie Sun , Erik Bollt

Interpreting neural networks is a crucial and challenging task in machine learning. In this paper, we develop a novel framework for detecting statistical interactions captured by a feedforward multilayer neural network by directly…

Machine Learning · Statistics 2018-02-28 Michael Tsang , Dehua Cheng , Yan Liu

Due to the recent advances in high-throughput sequencing technologies, it becomes possible to directly analyze microbial communities in the human body and in the environment. Knowledge of how microbes interact with each other and form…

Quantitative Methods · Quantitative Biology 2018-07-24 Chieh Lo , Radu Marculescu

Inferring microbial interaction networks from abundance patterns is an important approach to advance our understanding of microbial communities in general and the human microbiome in particular. Here we suggest discriminating two levels of…

Populations and Evolution · Quantitative Biology 2023-06-06 Isabella-Hilda Mendler , Barbara Drossel , Marc-Thorsten Hütt

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…

Methodology · Statistics 2024-06-11 Nathan Osborne , Christine B. Peterson , Marina Vannucci

Empirical networks are often globally sparse, with a small average number of connections per node, when compared to the total size of the network. However, this sparsity tends not to be homogeneous, and networks can also be locally dense,…

Physics and Society · Physics 2020-07-20 Tiago P. Peixoto

Microbiome data require statistical models that can simultaneously decode microbes' reaction to the environment and interactions among microbes. While a multiresponse linear regression model seems like a straight-forward solution, we argue…

Applications · Statistics 2022-07-26 Yunyi Shen , Claudia Solis-Lemus

Microbes can affect processes from food production to human health. Such microbes are not isolated, but rather interact with each other and establish connections with their living environments. Understanding these interactions is essential…

Applications · Statistics 2021-09-07 Liang Chen , Qiuyan He , Hui Wan , Shun He , Minghua Deng

When studying ecosystems, hierarchical trees are often used to organize entities based on proximity criteria, such as the taxonomy in microbiology, social classes in geography, or product types in retail businesses, offering valuable…

Methodology · Statistics 2025-06-27 Alexandre Chaussard , Anna Bonnet , Elisabeth Gassiat , Sylvain Le Corff

Microbial communities assemble through a complex set of interactions between microbes and their environment, and the resulting metabolic impact on the host ecosystem can be profound. Microbial activity is known to impact human health, plant…

Quantitative Methods · Quantitative Biology 2023-11-09 James D. Brunner , Laverne A. Gallegos-Graves , Marie E. Kroeger

Identifying undocumented or potential future interactions among species is a challenge facing modern ecologists. Recent link prediction methods rely on trait data, however large species interaction databases are typically sparse and…

Applications · Statistics 2019-09-23 Mohamad Elmasri , Maxwell J. Farrell , T. Jonathan Davies , David A. Stephens
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