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There is abundant interest in assessing the joint effects of multiple exposures on human health. This is often referred to as the mixtures problem in environmental epidemiology and toxicology. Classically, studies have examined the adverse…

Applications · Statistics 2024-05-31 Shounak Chattopadhyay , Stephanie M. Engel , David Dunson

We propose an extended genetic algorithm (GA) with different local environmental conditions. Genetic entities, or configurations, are put on nodes in a ring structure, and location-dependent environmental conditions are applied for each…

Data Analysis, Statistics and Probability · Physics 2022-06-22 Daekyung Lee , Beom Jun Kim

In previous work, a novel supervised framework implementing a binary classifier was presented that obtained excellent results for side effect discovery. Interestingly, unique side effects were identified when different binary classifiers…

Machine Learning · Computer Science 2014-09-04 Jenna M. Reps , Uwe Aickelin , Jonathan M. Garibaldi

Population genetics seeks to quantify DNA variant associations with traits or diseases, as well as interactions among variants and with environmental factors. Computing millions of estimates in large cohorts in which small effect sizes are…

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

An important goal of environmental health research is to assess the risk posed by mixtures of environmental exposures. Two popular classes of models for mixtures analyses are response-surface methods and exposure-index methods.…

Methodology · Statistics 2025-05-01 Glen McGee , Ander Wilson , Thomas F. Webster , Brent A. Coull

Evaluating the causal health effects of multivariate, continuous exposures, such as air pollution mixtures, is a critical public health challenge. A primary obstacle is the frequent violation of the positivity assumption, which renders the…

Methodology · Statistics 2026-05-05 Zhuochao Huang , Kejin Dong , Tuo Lin , Joseph Antonelli

We derive a general statistical model of interactions, starting from probabilistic principles and elementary requirements. Prevailing interaction models in biomedical researches diverge both mathematically and practically. In particular,…

Machine learning models can automatically learn complex relationships, such as non-linear and interaction effects. Interpretable machine learning methods such as partial dependence plots visualize marginal feature effects but may lead to…

Machine Learning · Statistics 2022-02-16 Julia Herbinger , Bernd Bischl , Giuseppe Casalicchio

Matching is a widely used causal inference design that aims to approximate a randomized experiment using observational data by forming matched sets of treated and control units based on similarities in their covariates. Ideally, treated…

Methodology · Statistics 2026-04-06 Jianan Zhu , Jeffrey Zhang , Zijian Guo , Siyu Heng

To date, testing interactions in high dimensions has been a challenging task. Existing methods often have issues with sensitivity to modeling assumptions and heavily asymptotic nominal p-values. To help alleviate these issues, we propose a…

Machine Learning · Statistics 2012-06-29 Noah Simon , Robert Tibshirani

Causal effect estimation in networked systems is central to data-driven decision making. In such settings, interventions on one unit can spill over to others, and in complex physical or social systems, the interaction pathways driving these…

Machine Learning · Statistics 2025-11-27 Sadegh Shirani , Mohsen Bayati

Many studies have focused on investigating deviations from additive interaction of two dichotomous risk factors on a binary outcome. There is, however, a gap in the literature with respect to interactions on the additive scale of >2 risk…

Applications · Statistics 2020-05-15 Michail Katsoulis , Christina Bamia

Joint misclassification of exposure and outcome variables can lead to considerable bias in epidemiological studies of causal exposure-outcome effects. In this paper, we present a new maximum likelihood based estimator for the marginal…

Methodology · Statistics 2019-01-16 Bas B. L. Penning de Vries , Maarten van Smeden , Rolf H. H. Groenwold

High-dimensional linear regression with interaction effects is broadly applied in research fields such as bioinformatics and social science. In this paper, we first investigate the minimax rate of convergence for regression estimation in…

Statistics Theory · Mathematics 2018-04-10 Chenglong Ye , Yuhong Yang

Gene expression estimation from pathology images has the potential to reduce the RNA sequencing cost. Point-wise loss functions have been widely used to minimize the discrepancy between predicted and absolute gene expression values.…

Computer Vision and Pattern Recognition · Computer Science 2025-12-09 Kazuya Nishimura , Haruka Hirose , Ryoma Bise , Kaito Shiku , Yasuhiro Kojima

The empirical loss, commonly referred to as the average loss, is extensively utilized for training machine learning models. However, in order to address the diverse performance requirements of machine learning models, the use of the…

Optimization and Control · Mathematics 2024-01-04 Rufeng Xiao , Yuze Ge , Rujun Jiang , Yifan Yan

One of the central goals in precision health is the understanding and interpretation of high-dimensional biological data to identify genes and markers associated with disease initiation, development, and outcomes. Though significant effort…

Quantitative Methods · Quantitative Biology 2020-09-18 Zhi Huang , Paul Salama , Wei Shao , Jie Zhang , Kun Huang

If error distribution has heteroscedasticity, it voliates the assumption of linear regression. Expectile regression is a powerful tool for estimating the conditional expectiles of a response variable in this setting. Since multiple levels…

Methodology · Statistics 2022-08-03 Jinghang Lin , Yuan Huang , Shuangge Ma

Motivation: Genome-wide association studies (GWAS) have successfully identified thousands of genetic risk loci for complex traits and diseases. Most of these GWAS loci lie in regulatory regions of the genome and the gene through which each…

Quantitative Methods · Quantitative Biology 2022-10-31 Leonardo Martini , Adriano Fazzone , Michele Gentili , Luca Becchetti , Brian Hobbs
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