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A novel data-driven methodology is presented for the joint selection of prior parameters for both fixed and random effects in Linear Mixed Models (LMMs). This approach facilitates the estimation of complex random-effects structures, as well…

Methodology · Statistics 2026-04-28 Matteo Amestoy , R. Vermeulen , Mark A. van de Wiel , Wessel N. van Wieringen

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

The problem of making sequential decisions in unknown probabilistic environments is studied. In cycle $t$ action $y_t$ results in perception $x_t$ and reward $r_t$, where all quantities in general may depend on the complete history. The…

Artificial Intelligence · Computer Science 2007-05-23 Marcus Hutter

We introduce a probabilistic (Bayesian) framework and associated software toolbox for mapping population receptive fields (pRFs) based on fMRI data. This generic approach is intended to work with stimuli of any dimension and is demonstrated…

Neurons and Cognition · Quantitative Biology 2018-05-21 Peter Zeidman , Edward Harry Silson , Dietrich Samuel Schwarzkopf , Chris Ian Baker , Will Penny

There is significant interest in learning and optimizing a complex system composed of multiple sub-components, where these components may be agents or autonomous sensors. Among the rich literature on this topic, agent-based and…

Machine Learning · Computer Science 2021-07-08 Kai Wang , Bryan Wilder , Sze-chuan Suen , Bistra Dilkina , Milind Tambe

Humans are exposed to complex mixtures of environmental pollutants rather than single chemicals, necessitating methods to quantify the health effects of such mixtures. Research on environmental mixtures provides insights into realistic…

Methodology · Statistics 2026-04-09 Aaron Sonabend , Jiangshan Zhang , Edgar Castro , Joel Schwartz , Brent A. Coull , Junwei Lu

Identifying and characterizing relationships between treatments, exposures, or other covariates and time-to-event outcomes has great significance in a wide range of biomedical settings. In research areas such as multi-center clinical…

Methodology · Statistics 2025-04-02 Hillary M. Heiling , Naim U. Rashid , Quefeng Li , Xianlu L. Peng , Jen Jen Yeh

The development of statistical approaches for the joint modelling of the temporal changes of imaging, biochemical, and clinical biomarkers is of paramount importance for improving the understanding of neurodegenerative disorders, and for…

Applications · Statistics 2018-02-16 Marco Lorenzi , Maurizio Filippone , Daniel C. Alexander , Sebastien Ourselin

We introduce a novel framework for decomposing interventional causal effects into synergistic, redundant, and unique components, building on the intuition of Partial Information Decomposition (PID) and the principle of M\"obius inversion.…

Artificial Intelligence · Computer Science 2025-09-22 Abel Jansma

Probabilistic modeling is fundamental to the statistical analysis of complex data. In addition to forming a coherent description of the data-generating process, probabilistic models enable parameter inference about given data sets. This…

Populations and Evolution · Quantitative Biology 2018-05-01 Branden J. Olson , Frederick A. Matsen

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

Pollutant exposure during gestation is a known and adverse factor for birth and health outcomes. However, the links between prenatal air pollution exposures and educational outcomes are less clear, in particular the critical windows of…

Methodology · Statistics 2022-10-11 Yunan Gao , Daniel R. Kowal

We introduce a random partition model for Bayesian nonparametric regression. The model is based on infinitely-many disjoint regions of the range of a latent covariate-dependent Gaussian process. Given a realization of the process, the…

Methodology · Statistics 2013-01-04 George Karabatsos , Stephen G. Walker

1. Understanding the mechanisms underlying biological systems, and ultimately, predicting their behaviours in a changing environment requires overcoming the gap between mathematical models and experimental or observational data.…

Quantitative Methods · Quantitative Biology 2017-04-19 Philipp H Boersch-Supan , Sadie J Ryan , Leah R Johnson

Probabilistic graphical models (PGMs) are widely used to discover latent structure in data, but their success hinges on selecting an appropriate model design. In practice, model specification is difficult and often requires iterative…

Machine Learning · Computer Science 2026-04-08 Kevin Zhang , Yixin Wang

Estimating the number of the number of people from hidden and/or marginalised populations - such as people dependent on opioids or cocaine - is important to guide policy decisions and provision of harm reduction services. Methods such as…

Predictive Bayesian inference (PBI) represents a model-and prior-agnostic approach to standard Bayesian inference which allows users to quantify uncertainty for a functional of interest only by specifying a forward predictive model for…

Methodology · Statistics 2026-05-04 David T. Frazier , Hui Wang

Our knowledge of the organisation of the human brain at the population-level is yet to translate into power to predict functional differences at the individual-level, limiting clinical applications, and casting doubt on the generalisability…

Neurons and Cognition · Quantitative Biology 2024-04-04 James K Ruffle , Robert J Gray , Samia Mohinta , Guilherme Pombo , Chaitanya Kaul , Harpreet Hyare , Geraint Rees , Parashkev Nachev

Earth System Models (ESMs) are the state of the art for projecting the effects of climate change. However, longstanding uncertainties in their ability to simulate regional and local precipitation extremes and related processes inhibit…

Applications · Statistics 2017-07-20 Evan Kodra , Singdhansu Chatterjee , Stone Chen , Auroop R. Ganguly

Human motion prediction is an important and challenging topic that has promising prospects in efficient and safe human-robot-interaction systems. Currently, the majority of the human motion prediction algorithms are based on deterministic…

Robotics · Computer Science 2021-07-15 Jie Xu , Xingyu Chen , Xuguang Lan , Nanning Zheng
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