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The health effects of environmental exposures have been studied for decades, typically using standard regression models to assess exposure-outcome associations found in observational non-experimental data. We propose and illustrate a…

Applications · Statistics 2017-09-20 Marie-Abele C. Bind , Donald B. Rubin

In many studies, we want to determine the influence of certain features on a dependent variable. More specifically, we are interested in the strength of the influence -- i.e., is the feature relevant? -- and, if so, how the feature…

Machine Learning · Statistics 2023-03-03 Yannick Gerstorfer , Lena Krieg , Max Hahn-Klimroth

In plant breeding and variety testing, there is an increasing interest in making use of environmental information to enhance predictions for new environments. Here, we will review linear mixed models that have been proposed for this…

Methodology · Statistics 2026-03-12 Maksym Hrachov , Hans-Peter Piepho , Niaz Md. Farhat Rahman , Waqas Ahmed Malik

A key goal in studies of ecology and evolution is understanding the causes of phenotypic diversity in nature. Most traits of interest, such as those relating to morphology, life-history, immunity and behaviour are quantitative, and…

Populations and Evolution · Quantitative Biology 2022-11-22 Susan E. Johnston , Nancy Chen , Emily B. Josephs

Precision oncology aims to prescribe the optimal cancer treatment to the right patients, maximizing therapeutic benefits. However, identifying patient subgroups that may benefit more from experimental cancer treatments based on randomized…

Methodology · Statistics 2026-01-06 Xingyu Li , Qing Liu , Tony Jiang , Hong Amy Xia , Peng Wei , Brian P. Hobbs

K-nearest neighbor (kNN) search has wide applications in many areas, including data mining, machine learning, statistics and many applied domains. Inspired by the success of ensemble methods and the flexibility of tree-based methodology, we…

Machine Learning · Statistics 2020-05-27 Donghui Yan , Yingjie Wang , Jin Wang , Honggang Wang , Zhenpeng Li

Heritability is a central parameter in quantitative genetics, both from an evolutionary and a breeding perspective. For plant traits heritability is traditionally estimated by comparing within and between genotype variability. This approach…

We propose generalized random forests, a method for non-parametric statistical estimation based on random forests (Breiman, 2001) that can be used to fit any quantity of interest identified as the solution to a set of local moment…

Methodology · Statistics 2018-04-06 Susan Athey , Julie Tibshirani , Stefan Wager

We consider the problems of hypothesis testing and model comparison under a flexible Bayesian linear regression model whose formulation is closely connected with the linear mixed effect model and the parametric models for SNP set analysis…

Methodology · Statistics 2015-02-24 Xiaoquan Wen

The multispecies coalescent process models the genealogical relationships of genes sampled from several species, enabling useful predictions about phenomena such as the discordance between the gene tree and the species phylogeny due to…

Populations and Evolution · Quantitative Biology 2020-12-11 Jakub Truszkowski , Celine Scornavacca , Fabio Pardi

Imaging genetic studies aim to find associations between genetic variants and imaging quantitative traits. Traditional genome-wide association studies (GWAS) are based on univariate statistical tests, but when multiple traits are analyzed…

Genomics · Quantitative Biology 2022-04-04 Muhammad Ammar Malik , Alexander S. Lundervold , Tom Michoel

We are interested in modeling some two-level population dynamics, resulting from the interplay of ecological interactions and phenotypic variation of individuals (or hosts) and the evolution of cells (or parasites) of two types living in…

Probability · Mathematics 2011-01-21 Sylvie Méléard , Sylvie Roelly

Polygenic risk scores can be used to model the individual genetic liability for human traits. Current methods primarily focus on modeling the mean of a phenotype neglecting the variance. However, genetic variants associated with phenotypic…

Applications · Statistics 2025-09-26 Qiong Wu , Hannah Klinkhammer , Kiran Kunwar , Christian Staerk , Carlo Maj , Andreas Mayr

Information-theoretic quantities, such as conditional entropy and mutual information, are critical data summaries for quantifying uncertainty. Current widely used approaches for computing such quantities rely on nearest neighbor methods and…

Random Forest (RF) is a widely used ensemble learning technique known for its robust classification performance across diverse domains. However, it often relies on hundreds of trees and all input features, leading to high inference cost and…

Machine Learning · Computer Science 2025-07-08 Sijan Bhattarai , Saurav Bhandari , Girija Bhusal , Saroj Shakya , Tapendra Pandey

Stochastic models of evolution (Markov random fields on trivalent trees) generally assume that different characters (different runs of the stochastic process) are independent and identically distributed. In this paper we take the first…

Populations and Evolution · Quantitative Biology 2014-10-28 Deeparnab Chakrabarty , Sampath Kannan , Kevin Tian

Tree ensemble methods such as random forests [Breiman, 2001] are very popular to handle high-dimensional tabular data sets, notably because of their good predictive accuracy. However, when machine learning is used for decision-making…

Statistics Theory · Mathematics 2021-12-28 Erwan Scornet

Random forest is a popular machine learning approach for the analysis of high-dimensional data because it is flexible and provides variable importance measures for the selection of relevant features. However, the complex relationships…

Machine Learning · Computer Science 2023-08-07 Lucas F. Voges , Lukas C. Jarren , Stephan Seifert

Rooted in genetics, human complex diseases are largely influenced by environmental factors. Existing literature has shown the power of integrative gene-environment interaction analysis by considering the joint effect of environmental…

Methodology · Statistics 2022-08-26 Jingyi Zhang , Xu Liu , Honglang Wang , Yuehua Cui

Rapid advancements in genome sequencing have led to the collection of vast amounts of genomics data. Researchers may be interested in using machine learning models on such data to predict the pathogenicity or clinical significance of a…

Quantitative Methods · Quantitative Biology 2024-08-15 Arshmeet Kaur , Morteza Sarmadi