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Statistical integration of diverse data sources is an essential step in the building of generalizable prediction tools, especially in precision health. The invariant features model is a new paradigm for multi-source data integration which…

Methodology · Statistics 2025-03-05 Parker Knight , Ndey Isatou Jobe , Rui Duan

This paper considers the generation of prediction intervals (PIs) by neural networks for quantifying uncertainty in regression tasks. It is axiomatic that high-quality PIs should be as narrow as possible, whilst capturing a specified…

Machine Learning · Statistics 2019-04-10 Tim Pearce , Mohamed Zaki , Alexandra Brintrup , Andy Neely

In population genetics and other application fields, models with intractable likelihood are common. Approximate Bayesian Computation (ABC) or more generally Simulation-Based Inference (SBI) methods work by simulating instrumental data sets…

Methodology · Statistics 2025-01-29 Guillaume Le Mailloux , Paul Bastide , Jean-Michel Marin , Arnaud Estoup

We propose a neural hybrid model consisting of a linear model defined on a set of features computed by a deep, invertible transformation (i.e. a normalizing flow). An attractive property of our model is that both p(features), the density of…

Machine Learning · Computer Science 2019-05-30 Eric Nalisnick , Akihiro Matsukawa , Yee Whye Teh , Dilan Gorur , Balaji Lakshminarayanan

We propose a Bayesian approach using improper priors for hierarchical linear mixed models with flexible random effects and residual error distributions. The error distribution is modelled using scale mixtures of normals, which can capture…

Methodology · Statistics 2018-02-06 F. J. Rubio , M. F. J. Steel

Statistical inference in high dimensional settings has recently attracted enormous attention within the literature. However, most published work focuses on the parametric linear regression problem. This paper considers an important…

Methodology · Statistics 2019-11-14 Qi Gao , Randy C. S. Lai , Thomas C. M. Lee , Yao Li

We consider an empirical likelihood inference for parameters defined by general estimating equations when some components of the random observations are subject to missingness. As the nature of the estimating equations is wide-ranging, we…

Statistics Theory · Mathematics 2009-03-05 Dong Wang , Song Xi Chen

We explore how violations of the often-overlooked standard assumption that the random effects model matrix in a linear mixed model is fixed (and thus independent of the random effects vector) can lead to bias in estimators of estimable…

Statistics Theory · Mathematics 2020-06-23 Andrew T. Karl , Dale L. Zimmerman

Latent variable models are popularly used to measure latent factors (e.g., abilities and personalities) from large-scale assessment data. Beyond understanding these latent factors, the covariate effect on responses controlling for latent…

Methodology · Statistics 2026-01-12 Jing Ouyang , Chengyu Cui , Kean Ming Tan , Gongjun Xu

Prediction-powered inference is a framework for performing valid statistical inference when an experimental dataset is supplemented with predictions from a machine-learning system. The framework yields simple algorithms for computing…

Machine Learning · Statistics 2023-11-10 Anastasios N. Angelopoulos , Stephen Bates , Clara Fannjiang , Michael I. Jordan , Tijana Zrnic

Detecting associations between microbial compositions and sample characteristics is one of the most important tasks in microbiome studies. Most of the existing methods apply univariate models to single microbial species separately, with…

We address the problem of inferring the causal effect of an exposure on an outcome across space, using observational data. The data is possibly subject to unmeasured confounding variables which, in a standard approach, must be adjusted for…

Methodology · Statistics 2019-06-04 Muhammad Osama , Dave Zachariah , Thomas B. Schön

It is common to conduct causal inference in matched observational studies by proceeding as though treatment assignments within matched sets are assigned uniformly at random and using this distribution as the basis for inference. This…

Methodology · Statistics 2023-11-14 Samuel D. Pimentel , Yaxuan Huang

Inference after model selection has been an active research topic in the past few years, with numerous works offering different approaches to addressing the perils of the reuse of data. In particular, major progress has been made recently…

Methodology · Statistics 2020-06-02 Snigdha Panigrahi , Jonathan Taylor , Asaf Weinstein

A fundamental task in statistical learning is quantifying the joint dependence or association between two continuous random variables. We introduce a novel, fully non-parametric measure that assesses the degree of association between…

Population dynamics models play an important role in a number of fields, such as actuarial science, demography, and ecology, as they help explain past fluctuations and predict future population. The accuracy of these models is often…

Methodology · Statistics 2025-11-06 Paolo Onorati , Sofia Ruiz-Suarez , Radu Craiu

We propose a versatile and computationally efficient estimating equation method for a class of hierarchical multiplicative generalized linear mixed models with additive dispersion components, based on explicit modelling of the covariance…

Methodology · Statistics 2010-08-18 René Holst , Bent Jørgensen

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

Despite the versatility of generalized linear mixed models in handling complex experimental designs, they often suffer from misspecification and convergence problems. This makes inference on the values of coefficients problematic. To…

Methodology · Statistics 2025-03-31 Angela Andreella , Jelle Goeman , Jesse Hemerik , Livio Finos

In the analysis of complex traits, genetic effects are frequently modelled as either fixed or random effects. Such assumptions serve as a foundation of defining heritability and relatedness using genome-wide single nucleotide polymorphism…

Populations and Evolution · Quantitative Biology 2023-04-28 Hanbin Lee
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