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Researchers are often interested in understanding the relationship between a set of covariates and a set of response variables. To achieve this goal, the use of regression analysis, either linear or generalized linear models, is largely…

Dynamic prediction of causal effects under different treatment regimes conditional on an individual's characteristics and longitudinal history is an essential problem in precision medicine. This is challenging in practice because outcomes…

Methodology · Statistics 2023-03-07 Yizhen Xu , Jisoo Kim , Laura K. Hummers , Ami A. Shah , Scott Zeger

Clinical prediction models (CPMs) are used to predict clinically relevant outcomes or events. Typically, prognostic CPMs are derived to predict the risk of a single future outcome. However, with rising emphasis on the prediction of…

Methodology · Statistics 2020-10-29 Glen P. Martin , Matthew Sperrin , Kym I. E. Snell , Iain Buchan , Richard D. Riley

Segmented models are widely used to describe non-stationary sequential data with discrete change points. Their estimation usually requires solving a mixed discrete-continuous optimization problem, where the segmentation is the discrete part…

Machine Learning · Computer Science 2021-01-19 Erik Scharwächter , Jonathan Lennartz , Emmanuel Müller

Discrete-time hazard models are widely used when event times are measured in intervals or are not precisely observed. While these models can be estimated using standard generalized linear model techniques, they rely on extensive data…

Methodology · Statistics 2025-07-14 Benjamin Müller , Nikolaus Umlauf , Johannes Seiler , Kenneth Harttgen , Stefan Lang

For many scientific questions, understanding the underlying mechanism is the goal. To help investigators better understand the underlying mechanism, variable selection is a crucial step that permits the identification of the most associated…

Methodology · Statistics 2025-10-06 Shuangshuang Xu , Marco A. R. Ferreira , Allison N. Tegge

This paper studies the problem of globally optimizing a variable of interest that is part of a causal model in which a sequence of interventions can be performed. This problem arises in biology, operational research, communications and,…

Machine Learning · Statistics 2020-05-27 Virginia Aglietti , Xiaoyu Lu , Andrei Paleyes , Javier González

The joint modeling of longitudinal and time-to-event outcomes has become a popular tool in follow-up studies. However, fitting Bayesian joint models to large datasets, such as patient registries, can require extended computing times. To…

In many medical studies, patients are followed longitudinally and interest is on assessing the relationship between longitudinal measurements and time to an event. Recently, various authors have proposed joint modeling approaches for…

Applications · Statistics 2010-11-16 Paul S. Albert , Joanna H. Shih

We pursue tractable Bayesian analysis of generalized linear models (GLMs) for categorical data. Thus far, GLMs are difficult to scale to more than a few dozen categories due to non-conjugacy or strong posterior dependencies when using…

Machine Learning · Statistics 2022-06-02 Michael T. Wojnowicz , Shuchin Aeron , Eric L. Miller , Michael C. Hughes

Epidemics are inherently stochastic, and stochastic models provide an appropriate way to describe and analyse such phenomena. Given temporal incidence data consisting of, for example, the number of new infections or removals in a given time…

Methodology · Statistics 2024-05-24 Sam A. Whitaker , Andrew Golightly , Colin S. Gillespie , Theodore Kypraios

We develop a novel Bayesian method to select important predictors in regression models with multiple responses of diverse types. A sparse Gaussian copula regression model is used to account for the multivariate dependencies between any…

Methodology · Statistics 2020-09-22 Angelos Alexopoulos , Leonardo Bottolo

This work develops a block aggregation approach to spatial estimation and prediction when the response is observed at a coarse spatial scale, for example as counts of events in administrative areas, or blocks, while covariates are available…

Leading up to August 2020, COVID-19 has spread to almost every country in the world, causing millions of infected and hundreds of thousands of deaths. In this paper, we first verify the assumption that clinical variables could have…

Machine Learning · Computer Science 2021-01-20 Jiacheng Liu , Meghna Singh , Catherine ST. Hill , Vino Raj , Lisa Kirkland , Jaideep Srivastava

Standard methods of using categorical variables as predictors either endow them with an ordinal structure or assume they have no structure at all. However, categorical variables often possess structure that is more complicated than a linear…

Machine Learning · Statistics 2020-04-17 Brian Lucena

We discuss Bayesian model uncertainty analysis and forecasting in sequential dynamic modeling of multivariate time series. The perspective is that of a decision-maker with a specific forecasting objective that guides thinking about relevant…

Methodology · Statistics 2022-06-07 Isaac Lavine , Michael Lindon , Mike West

Categorical predictors are omnipresent in everyday regression practice: in fact, most regression data involve some categorical predictors, and this tendency is increasing in modern applications with more complex structures and larger data…

Methodology · Statistics 2025-11-11 Chaegeun Song , Zhong Zheng , Bing Li , Lingzhou Xue

Bayesian networks are powerful statistical models to study the probabilistic relationships among set random variables with major applications in disease modeling and prediction. Here, we propose a continuous time Bayesian network with…

Machine Learning · Computer Science 2021-07-16 Syed Hasib Akhter Faruqui , Adel Alaeddini , Jing Wang , Carlos A. Jaramillo

The generalization performance of a risk prediction model can be evaluated by its calibration, which measures the agreement between predicted and observed outcomes on external validation data. Here, methods for assessing the calibration of…

Methodology · Statistics 2020-01-31 Moritz Berger , Matthias Schmid

We develop a variational Bayes approach for dynamic variable selection in high-dimensional regression models with time-varying parameters and predictors that exhibit a predefined group structure. Through comprehensive simulation studies, we…

Methodology · Statistics 2025-04-16 Nicolas Bianco , Mauro Bernardi , Daniele Bianchi
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