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Gaussian graphical models are widely used to represent conditional dependence among random variables. In this paper, we propose a novel estimator for data arising from a group of Gaussian graphical models that are themselves dependent. A…

Machine Learning · Statistics 2016-09-01 Yuying Xie , Yufeng Liu , William Valdar

Motivated by examples from genetic association studies, this paper considers the model selection problem in a general complex linear model system and in a Bayesian framework. We discuss formulating model selection problems and incorporating…

Methodology · Statistics 2014-03-14 Xiaoquan Wen

Ecologists have long suspected that species are more likely to interact if their traits match in a particular way. For example, a pollination interaction may be more likely if the proportions of a bee's tongue fit a plant's flower shape.…

Populations and Evolution · Quantitative Biology 2019-11-05 Maximilian Pichler , Virginie Boreux , Alexandra-Maria Klein , Matthias Schleuning , Florian Hartig

In evolution, the effects of a single deleterious mutation can sometimes be compensated for by a second mutation which recovers the original phenotype. Such epistatic interactions have implications for the structure of genome space -…

Populations and Evolution · Quantitative Biology 2015-03-19 Steffen Schaper , Iain G. Johnston , Ard A. Louis

Randomized experiments, or "A/B" tests, remain the gold standard for evaluating the causal effect of a policy intervention or product change. However, experimental settings, such as social networks, where users are interacting and…

Social and Information Networks · Computer Science 2021-02-17 Yuan Yuan , Kristen M. Altenburger , Farshad Kooti

Cryptic genetic sequences have attenuated effects on phenotypes. In the classic view, relaxed selection allows cryptic genetic diversity to build up across individuals in a population, providing alleles that may later contribute to…

Populations and Evolution · Quantitative Biology 2013-05-23 Etienne Rajon , Joanna Masel

The displayed tree phylogenetic network model is shown to sit as a natural submodel of the graphical model associated to a directed acyclic graph (DAG). This representation allows to derive a number of results about the displayed tree…

Populations and Evolution · Quantitative Biology 2025-08-01 Seth Sullivant

In plant and animal breeding studies a distinction is made between the genetic value (additive + epistatic genetic effects) and the breeding value (additive genetic effects) of an individual since it is expected that some of the epistatic…

Applications · Statistics 2014-02-11 Deniz Akdemir

The evolutionary origins of structural features in reconstructed gene-regulatory networks (GRNs) remain poorly understood, especially given the random aspects of gene expression. Here, we extend a classical model of GRN evolution to allow a…

Populations and Evolution · Quantitative Biology 2026-04-30 Leonardo Ivan Estrella Dzib , James Holehouse

Mixed-effects models are among the most commonly used statistical methods for the exploration of multispecies data. In recent years, also Joint Species Distribution Models and Generalized Linear Latent Variale Models have gained in…

Computation · Statistics 2025-01-31 Bert van der Veen , Robert Brian O'Hara

The growing availability of network data and of scientific interest in distributed systems has led to the rapid development of statistical models of network structure. Typically, however, these are models for the entire network, while the…

Statistics Theory · Mathematics 2022-03-18 Cosma Rohilla Shalizi , Alessandro Rinaldo

The molecular evolution in a gene regulatory network is classically modeled by Markov jump processes. However, the direct simulation of such models is extremely time consuming. Indeed, even the simplest Markovian model, such as the…

Probability · Mathematics 2012-11-30 Aurélie Muller-Gueudin

This work considers the problem of learning the structure of multivariate linear tree models, which include a variety of directed tree graphical models with continuous, discrete, and mixed latent variables such as linear-Gaussian models,…

Machine Learning · Computer Science 2011-11-09 Animashree Anandkumar , Kamalika Chaudhuri , Daniel Hsu , Sham M. Kakade , Le Song , Tong Zhang

Networks (graphs) in psychology are often restricted to settings without interventions. Here we consider a framework borrowed from biology that involves multiple interventions from different contexts (observations and experiments) in a…

Methodology · Statistics 2024-09-23 Lourens Waldorp , Jolanda Kossakowski , Han L. J. van der Maas

Random Boolean networks have been used widely to explore aspects of gene regulatory networks. A modified form of the model through which to systematically explore the effects of increasing the number of gene states has previously been…

Molecular Networks · Quantitative Biology 2023-02-06 Larry Bull

Various molecular interaction networks have been claimed to follow power-law decay for their global connectivity distribution. It has been proposed that there may be underlying generative models that explain this heavy-tailed behavior by…

Molecular Networks · Quantitative Biology 2010-04-20 Adrián López García de Lomana , Qasim K. Beg , G. de Fabritiis , Jordi Villà-Freixa

In modern scientific studies, it is often imperative to determine whether a set of phenotypes is affected by a single factor. If such an influence is identified, it becomes essential to discern whether this effect is contingent upon…

Methodology · Statistics 2024-03-22 Srijan Chattopadhyay , Swapnaneel Bhattacharyya , Sevantee Basu

Biological organisms exhibit diverse strategies for adapting to varying environments. For example, a population of organisms may express the same phenotype in all environments (`unvarying strategy'), or follow environmental cues and express…

Populations and Evolution · Quantitative Biology 2022-06-08 BingKan Xue , Pablo Sartori , Stanislas Leibler

Recursive max-linear vectors provide models for causal dependence between large values of random variables that are supported on directed acyclic graphs, but the standard assumption that all nodes of such a graph are observed can be…

Statistics Theory · Mathematics 2025-07-10 Mario Krali , Anthony C. Davison , Claudia Klüppelberg

The association of a given human phenotype to a genetic variant remains a critical challenge for biology. We present a novel system called PhenoLinker capable of associating a score to a phenotype-gene relationship by using heterogeneous…