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Modern epidemiological analytics increasingly use machine learning models that offer strong prediction but often lack calibrated uncertainty. Bayesian methods provide principled uncertainty quantification, yet are viewed as difficult to…

Machine Learning · Statistics 2025-11-18 Debashis Chatterjee

Genetic data are frequently categorical and have complex dependence structures that are not always well understood. For this reason, clustering and classification based on genetic data, while highly relevant, are challenging statistical…

Methodology · Statistics 2016-06-13 Gabriela Bettella Cybis , Marcio Valk , Silvia Regina Costa Lopes

This paper focuses on utilizing two different Bayesian methods to deal with a variety of toy problems which occur in data analysis. In particular we implement the Variational Bayesian and Nested Sampling methods to tackle the problems of…

Computation · Statistics 2010-03-23 Alan Tua , Kristian Zarb Adami

The diagnosis of cyber-physical systems aims to detect faulty behaviour, its root cause and a mitigation or even prevention policy. Therefore, diagnosis relies on a representation of the system's functional and faulty behaviour combined…

Machine Learning · Computer Science 2021-10-13 Nicolas Olivain , Philipp Tiefenbacher , Jens Kohl

We present an approach, called the "Shadow Method," for the identification of disease loci from dense genetic marker maps in complex, potentially incomplete pedigrees. "Shadow" is a simple method based on an analysis of the patterns of…

Genomics · Quantitative Biology 2007-10-31 Gregory Leibon , Daniel Rockmore , Martin Pollak

Bayesian belief networks can be used to represent and to reason about complex systems with uncertain, incomplete and conflicting information. Belief networks are graphs encoding and quantifying probabilistic dependence and conditional…

Artificial Intelligence · Computer Science 2013-03-08 Carlos Rojas-Guzman , Mark A. Kramer

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

Telling apart the cause and effect between two random variables with purely observational data is a challenging problem that finds applications in various scientific disciplines. A key principle utilized in this task is the algorithmic…

Machine Learning · Computer Science 2025-08-15 Quang-Duy Tran , Bao Duong , Phuoc Nguyen , Thin Nguyen

Populations can be genetically isolated both by geographic distance and by differences in their ecology or environment that decrease the rate of successful migration. Empirical studies often seek to investigate the relationship between…

Populations and Evolution · Quantitative Biology 2013-09-12 Gideon Bradburd , Peter Ralph , Graham Coop

Recent publications have described and applied a novel metric that quantifies the genetic distance of an individual with respect to two population samples, and have suggested that the metric makes it possible to infer the presence of an…

Genomics · Quantitative Biology 2015-09-24 Rosemary Braun , William Rowe , Carl Schaefer , Jinghui Zhang , Kenneth Buetow

The aim of this paper is to propose a novel estimation method of using genetic-predicted observations to estimate trans-ancestry genetic correlations, which describes how genetic architecture of complex traits varies among populations, in…

Methodology · Statistics 2022-03-24 Bingxin Zhao , Xiaochen Yang , Hongtu Zhu

Admixture mapping is a popular tool to identify regions of the genome associated with traits in a recently admixed population. Existing methods have been developed primarily for identification of a single locus influencing a dichotomous…

Applications · Statistics 2011-11-24 Bin Zhu , Allison E. Ashley-Koch , David B. Dunson

Bayesian phylogenetics is vital for understanding evolutionary dynamics, and requires accurate and efficient approximation of posterior distributions over trees. In this work, we develop a variational Bayesian approach for ultrametric…

Machine Learning · Statistics 2026-02-16 Evan Sidrow , Alexandre Bouchard-Côté , Lloyd T. Elliott

Mixture interpretation is a central challenge in forensic science, where evidence often contains contributions from multiple sources. In the context of DNA analysis, biological samples recovered from crime scenes may include genetic…

Methodology · Statistics 2025-05-05 Taylor Petty , Jan Hannig , Hari Iyer

An early phase clinical trial is the first step in evaluating the effects in humans of a potential new anti-disease agent or combination of agents. Usually called "phase I" or "phase I/II" trials, these experiments typically have the…

Methodology · Statistics 2010-12-01 Peter F. Thall

During drug development, evidence can emerge to suggest a treatment is more effective in a specific patient subgroup. Whilst early trials may be conducted in biomarker-mixed populations, later trials are more likely to enrol…

Methodology · Statistics 2023-06-07 Lorna Wheaton , Dan Jackson , Sylwia Bujkiewicz

\noindent Hyper-parameter selection is a central practical problem in modern machine learning, governing regularization strength, model capacity, and robustness choices. Cross-validation is often computationally prohibitive at scale, while…

Machine Learning · Statistics 2025-12-24 Hedibert Lopes , Nick Polson , Vadim Sokolov

In ecology, the description of species composition and biodiversity calls for statistical methods that involve estimating features of interest in unobserved samples based on an observed one. In the last decade, the Bayesian nonparametrics…

Methodology · Statistics 2026-04-28 Alessandro Colombi , Raffaele Argiento , Federico Camerlenghi , Lucia Paci

Background and Aims: Prediction of phenotypic traits from new genotypes under untested environmental conditions is crucial to build simulations of breeding strategies to improve target traits. Although the plant response to environmental…

Statistics Theory · Mathematics 2010-10-27 Veronique Letort , Paul Mahe , Paul-Henry Cournède , Philippe De Reffye , Brigitte Courtois

Rapidly assaying the diversity of a bacterial species present in a sample obtained from a hospital patient or an evironmental source has become possible after recent technological advances in DNA sequencing. For several applications it is…