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A Bayesian non-parametric framework for studying time-to-event data is proposed, where the prior distribution is allowed to depend on an additional random source, and may update with the sample size. Such scenarios are natural, for…

Methodology · Statistics 2025-05-06 Martin Bladt , Jorge González Cázares

Recent advances in local models for point processes have highlighted the need for flexible methodologies to account for the spatial heterogeneity of external covariates influencing process intensity. In this work, we introduce tessellated…

Methodology · Statistics 2025-04-11 Nicoletta D'Angelo

Spatial models are used in a variety research areas, such as environmental sciences, epidemiology, or physics. A common phenomenon in many spatial regression models is spatial confounding. This phenomenon takes place when spatially indexed…

Methodology · Statistics 2021-06-08 Isa Marques , Thomas Kneib , Nadja Klein

In this paper, we explore whether the infection-rate of a disease can serve as a robust monitoring variable in epidemiological surveillance algorithms. The infection-rate is dependent on population mixing patterns that do not vary…

Applications · Statistics 2024-07-17 Wyatt Bridgman , Cosmin Safta , Jaideep Ray

We present a workflow for clinical data analysis that relies on Bayesian Structure Learning (BSL), an unsupervised learning approach, robust to noise and biases, that allows to incorporate prior medical knowledge into the learning process…

Machine Learning · Computer Science 2022-10-12 Elisa Ferrari , Luna Gargani , Greta Barbieri , Lorenzo Ghiadoni , Francesco Faita , Davide Bacciu

This paper describes the Bayesian SIR modeling of the 3 waves of Covid-19 in two contrasting US states during 2020-2021. A variety of models are evaluated at the county level for goodness-of-fit and an assessment of confounding predictors…

Applications · Statistics 2023-01-11 Andrew B Lawson , Joanne Kim

We present an approach to studying and predicting the spatio-temporal progression of infectious diseases. We treat the problem by adopting a partial differential equation (PDE) version of the Susceptible, Infected, Recovered, Deceased…

Biological Physics · Physics 2021-04-30 Zhenlin Wang , Mariana Carrasco Teja , Xiaoxuan Zhang , Gregory Teichert , Krishna Garikipati

Regression Discontinuity Design (RDD) is a popular framework for estimating a causal effect in settings where treatment is assigned if an observed covariate exceeds a fixed threshold. We consider estimation and inference in the common…

Statistics Theory · Mathematics 2025-04-16 Kevin Tao , Y. Samuel Wang , David Ruppert

Spatial transcriptomics has revolutionized tissue analysis by simultaneously mapping gene expression, spatial topography, and histological context across consecutive tissue sections, enabling systematic investigation of spatial…

Applications · Statistics 2025-10-24 Meng Zhou , Shuangge Ma , Mengyun Wu

We present a novel Bayesian workflow for multilevel regression and poststratification (MRP), introducing extensions to time-varying data and granular geography and publicly available open-source computation tools, facilitating broad…

Applications · Statistics 2026-01-06 Yajuan Si , Toan Tran , Jonah Gabry , Mitzi Morris , Andrew Gelman

A nonlinear partial differential equation (PDE) based compartmental model of COVID-19 provides a continuous trace of infection over space and time. Finer resolutions in the spatial discretization, the inclusion of additional model…

Computational Engineering, Finance, and Science · Computer Science 2022-08-04 Sudhi P. V. , Victorita Dolean , Pierre Jolivet , Brandon Robinson , Jodi D. Edwards , Tetyana Kendzerska , Abhijit Sarkar

We propose a new class of spatio-temporal models with unknown and banded autoregressive coefficient matrices. The setting represents a sparse structure for high-dimensional spatial panel dynamic models when panel members represent economic…

Methodology · Statistics 2018-04-19 Zhaoxing Gao , Yingying Ma , Hansheng Wang , Qiwei Yao

We extend the generalised functional additive mixed model to include (functional) compositional covariates carrying relative information of a whole. Relying on the isometric isomorphism of the Bayes Hilbert space of probability densities…

Applications · Statistics 2022-01-21 Matthias Eckardt , Jorge Mateu , Sonja Greven

Linear quantile regression is a powerful tool to investigate how predictors may affect a response heterogeneously across different quantile levels. Unfortunately, existing approaches find it extremely difficult to adjust for any dependency…

Methodology · Statistics 2019-10-30 Xu Chen , Surya T. Tokdar

The subset selection problem of linear algebra is applied to identify independent patterns of COVID-19 evolution within Brazil. The data consist of a set of mortality curves in states of Brazil. A subset of the most independent curves is…

Applications · Statistics 2022-05-12 Jorge C. Lucero

In this work, we examine a novel forecasting approach for COVID-19 case prediction that uses Graph Neural Networks and mobility data. In contrast to existing time series forecasting models, the proposed approach learns from a single…

Machine Learning · Computer Science 2020-07-08 Amol Kapoor , Xue Ben , Luyang Liu , Bryan Perozzi , Matt Barnes , Martin Blais , Shawn O'Banion

We introduce a new probabilistic model to estimate the real spread of the novel SARS-CoV-2 virus along regions or countries. Our model simulates the behavior of each individual in a population according to a probabilistic model through an…

Populations and Evolution · Quantitative Biology 2020-05-05 Marcos Matabuena , Carlos Meijide-García , Pablo Rodríguez-Mier , Víctor Leborán

Regression for spatially dependent outcomes poses many challenges, for inference and for computation. Non-spatial models and traditional spatial mixed-effects models each have their advantages and disadvantages, making it difficult for…

Methodology · Statistics 2017-08-02 John Hughes

Normative modeling enables individualized characterization of structural brain deviations by evaluating subjects against a reference population rather than a group average. Most existing implementations treat brain regions independently and…

Methodology · Statistics 2026-05-19 J. T. Korley

In this paper, we consider Bayesian methods for non-parametric quantile regressions with multiple continuous predictors ranging values in the unit interval. In the first method, the quantile function is assumed to be smooth over the…

Methodology · Statistics 2018-11-08 Priyam Das , Subhashis Ghosal
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