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Big Bayes is the computationally intensive co-application of big data and large, expressive Bayesian models for the analysis of complex phenomena in scientific inference and statistical learning. Standing as an example, Bayesian…

We investigate the utility to computational Bayesian analyses of a particular family of recursive marginal likelihood estimators characterized by the (equivalent) algorithms known as "biased sampling" or "reverse logistic regression" in the…

统计方法学 · 统计学 2014-10-16 Ewan Cameron , Anthony Pettitt

Evidence-based knowledge of infectious disease burden, including prevalence, incidence, severity and transmission, in different population strata and locations, and possibly in real time, is crucial to the planning and evaluation of public…

统计方法学 · 统计学 2018-08-14 Daniela De Angelis , Anne M. Presanis

Raking is widely used in categorical data modeling and survey practice but faced with methodological and computational challenges. We develop a Bayesian paradigm for raking by incorporating the marginal constraints as a prior distribution…

统计方法学 · 统计学 2020-06-24 Yajuan Si , Peigen Zhou

A central challenge in every field of biology is to use existing measurements to predict the outcomes of future experiments. In this work, we consider the wealth of antibody inhibition data against variants of the influenza virus. Due to…

定量方法 · 定量生物学 2023-07-27 Tal Einav , Rong Ma

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…

机器学习 · 统计学 2025-11-18 Debashis Chatterjee

Generative diffusion models have recently emerged as a powerful strategy to perform stochastic sampling in Bayesian inverse problems, delivering remarkably accurate solutions for a wide range of challenging applications. However, diffusion…

统计计算 · 统计学 2025-05-15 Abdul-Lateef Haji-Ali , Marcelo Pereyra , Luke Shaw , Konstantinos Zygalakis

We develop Bayesian predictive stacking for geostatistical models, where the primary inferential objective is to provide inference on the latent spatial random field and conduct spatial predictions at arbitrary locations. We exploit…

统计方法学 · 统计学 2025-09-25 Lu Zhang , Wenpin Tang , Sudipto Banerjee

Combining data has become an indispensable tool for managing the current diversity and abundance of data. But, as data complexity and data volume swell, the computational demands of previously proposed models for combining data escalate…

统计方法学 · 统计学 2024-06-13 Mario Figueira , David Conesa , Antonio López-Quílez , Iosu Paradinas

Hierarchical models in Bayesian inverse problems are characterized by an assumed prior probability distribution for the unknown state and measurement error precision, and hyper-priors for the prior parameters. Combining these probability…

统计计算 · 统计学 2019-06-10 Arvind K. Saibaba , Johnathan Bardsley , D. Andrew Brown , Alen Alexanderian

When statistical analyses consider multiple data sources, Markov melding provides a method for combining the source-specific Bayesian models. Markov melding joins together submodels that have a common quantity. One challenge is that the…

统计方法学 · 统计学 2022-03-17 Andrew A. Manderson , Robert J. B. Goudie

Motivated by genome-wide association studies, we consider a standard linear model with one additional random effect in situations where many predictors have been collected on the same subjects and each predictor is analyzed separately.…

应用统计 · 统计学 2013-04-24 Matti Pirinen , Peter Donnelly , Chris C. A. Spencer

While machine learning is rapidly being developed and deployed in health settings such as influenza prediction, there are critical challenges in using data from one environment in another due to variability in features; even within disease…

机器学习 · 统计学 2020-03-10 Vishwali Mhasawade , Nabeel Abdur Rehman , Rumi Chunara

This article proposes a Bayesian nonparametric method for forecasting, imputation, and clustering in sparsely observed, multivariate time series data. The method is appropriate for jointly modeling hundreds of time series with widely…

统计方法学 · 统计学 2019-02-27 Feras A. Saad , Vikash K. Mansinghka

The analysis of data from multiple experiments, such as observations of several individuals, is commonly approached using mixed-effects models, which account for variation between individuals through hierarchical representations. This makes…

统计计算 · 统计学 2026-03-05 Henrik Häggström , Sebastian Persson , Marija Cvijovic , Umberto Picchini

Mixed modeling of extreme values and random effects is relatively unexplored topic. Computational difficulties in using the maximum likelihood method for mixed models and the fact that maximum likelihood method uses available data and does…

应用统计 · 统计学 2019-07-05 Ali Reza Fotouhi

When dealing with datasets containing a billion instances or with simulations that require a supercomputer to execute, computational resources become part of the equation. We can improve the efficiency of learning and inference by…

机器学习 · 计算机科学 2014-03-06 Max Welling

We develop sampling algorithms to fit Bayesian hierarchical models, the computational complexity of which scales linearly with the number of observations and the number of parameters in the model. We focus on crossed random effect and…

统计计算 · 统计学 2025-01-03 Omiros Papaspiliopoulos , Timothée Stumpf-Fétizon , Giacomo Zanella

Functional mixed models are widely useful for regression analysis with dependent functional data, including longitudinal functional data with scalar predictors. However, existing algorithms for Bayesian inference with these models only…

统计方法学 · 统计学 2023-06-14 Thomas Y. Sun , Daniel R. Kowal

There has recently been considerable interest in addressing the problem of unifying distributed statistical analyses into a single coherent inference. This problem naturally arises in a number of situations, including in big-data settings,…

统计方法学 · 统计学 2021-02-04 Hongsheng Dai , Murray Pollock , Gareth Roberts
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