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Joint models for longitudinal and survival data have become a popular framework for studying the association between repeatedly measured biomarkers and clinical events. Nevertheless, addressing complex survival data structures, especially…

Real-world clinical problems are often characterized by multimodal data, usually associated with incomplete views and limited sample sizes in their cohorts, posing significant limitations for machine learning algorithms. In this work, we…

We overview Bayesian estimation, hypothesis testing, and model-averaging and illustrate how they benefit parametric survival analysis. We contrast the Bayesian framework to the currently dominant frequentist approach and highlight…

Methodology · Statistics 2022-09-13 František Bartoš , Frederik Aust , Julia M. Haaf

As an alternative to variable selection or shrinkage in high dimensional regression, we propose to randomly compress the predictors prior to analysis. This dramatically reduces storage and computational bottlenecks, performing well when the…

Machine Learning · Statistics 2013-03-26 Rajarshi Guhaniyogi , David B. Dunson

Cosmological experiments often employ Bayesian workflows to derive constraints on cosmological and astrophysical parameters from their data. It has been shown that these constraints can be combined across different probes such as Planck and…

Cosmology and Nongalactic Astrophysics · Physics 2022-11-28 Harry Bevins , Will Handley , Pablo Lemos , Peter Sims , Eloy de Lera Acedo , Anastasia Fialkov

We study objective Bayesian inference for linear regression models with residual errors distributed according to the class of two-piece scale mixtures of normal distributions. These models allow for capturing departures from the usual…

Applications · Statistics 2016-05-09 F. J. Rubio , K. Yu

Imbalanced classification remains a pervasive challenge in machine learning, particularly when minority samples are too scarce to provide a robust discriminative boundary. In such extreme scenarios, conventional models often suffer from…

Machine Learning · Computer Science 2026-04-29 Hongfei Wu , Ruijian Han , Yancheng Yuan

Bayesian Generative AI (BayesGen-AI) methods are developed and applied to Bayesian computation. BayesGen-AI reconstructs the posterior distribution by directly modeling the parameter of interest as a mapping (a.k.a. deep learner) from a…

Computation · Statistics 2024-02-27 Nicholas G. Polson , Vadim Sokolov

Integrating heterogeneous data sources and expert knowledge is essential for overcoming data scarcity and enhancing estimation accuracy. Two main frameworks naturally arise to perform the integration of these multiple sources: sequential…

Methodology · Statistics 2025-11-26 Mario Figueira , David Conesa , Antonio López-Quílez , Håvard Rue

In the case of informative sampling the sampling scheme explicitly or implicitly depends on the response variable. As a result, the sample distribution of response variable can- not be used for making inference about the population. In this…

Applications · Statistics 2016-11-18 Anna Sikov

Reconstructing pathogen dynamics from genetic data as they become available during an outbreak or epidemic represents an important statistical scenario in which observations arrive sequentially in time and one is interested in performing…

Populations and Evolution · Quantitative Biology 2020-02-04 Mandev S. Gill , Philippe Lemey , Marc A. Suchard , Andrew Rambaut , Guy Baele

Patient-level health economic data collected alongside clinical trials are an important component of the process of technology appraisal, with a view to informing resource allocation decisions. For end of life treatments, such as cancer…

Applications · Statistics 2020-11-24 Andrea Gabrio

Beyond estimating parameters of interest from data, one of the key goals of statistical inference is to properly quantify uncertainty in these estimates. In Bayesian inference, this uncertainty is provided by the posterior distribution, the…

Machine Learning · Computer Science 2025-01-03 Daniela de Albuquerque , John Pearson

High-fidelity spectrum cartography is pivotal for spectrum management and wireless situational awareness, yet it remains a challenging ill-posed inverse problem due to the sparsity and irregularity of observations. Furthermore, existing…

Information Theory · Computer Science 2025-12-24 Yuntong Gu , Xiangming meng , Zhiyuan Lin , Sheng Wu , Linling Kuang

Evaluating the computational reproducibility of data analysis pipelines has become a critical issue. It is, however, a cumbersome process for analyses that involve data from large populations of subjects, due to their computational and…

Methodology · Statistics 2018-09-28 Soudabeh Barghi , Lalet Scaria , Ali Salari , Tristan Glatard

The hybrid approach to experimental design aims to control frequentist operating characteristics of Bayesian decision procedures. These operating characteristics are assessed by simulating sampling distributions of posterior summaries under…

Methodology · Statistics 2026-05-04 Luke Hagar , James M. McGree

For Bayesian computation in big data contexts, the divide-and-conquer MCMC concept splits the whole data set into batches, runs MCMC algorithms separately over each batch to produce samples of parameters, and combines them to produce an…

Computation · Statistics 2019-11-25 Wu Changye , Christian P. Robert

Multi-wavelength astronomical studies brings a wealth of science within reach. One way to achieve a cross-wavelength analysis is via `stacking', i.e. combining precise positional information from an image at one wavelength with data from…

Cosmology and Nongalactic Astrophysics · Physics 2017-09-14 Song Chen , Jonathan T. L. Zwart , Mario G. Santos

Infectious diseases on farms pose both public and animal health risks, so understanding how they spread between farms is crucial for developing disease control strategies to prevent future outbreaks. We develop novel Bayesian nonparametric…

Applications · Statistics 2021-08-24 R. G. Seymour , T. Kypraios , P. D. O'Neill , T. J. Hagenaars

Hierarchical Bayesian methods enable information sharing across multiple related regression problems. While standard practice is to model regression parameters (effects) as (1) exchangeable across datasets and (2) correlated to differing…

Methodology · Statistics 2021-07-15 Brian L. Trippe , Hilary K. Finucane , Tamara Broderick