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External information borrowing is often considered in order to improve a clinical trial's efficiency. The Bayesian approach borrows such external information by specifying an informative prior distribution. A potential issue with this…

Methodology · Statistics 2025-08-25 Silvia Calderazzo , Manuel Wiesenfarth , Vivienn Weru , Annette Kopp-Schneider

We propose the use of Bayesian networks, which provide both a mean value and an uncertainty estimate as output, to enhance the safety of learned control policies under circumstances in which a test-time input differs significantly from the…

Machine Learning · Computer Science 2019-02-18 Keuntaek Lee , Kamil Saigol , Evangelos A. Theodorou

Modern macroeconometrics often relies on time series models for which it is time-consuming to evaluate the likelihood function. We demonstrate how Bayesian computations for such models can be drastically accelerated by reweighting and…

Econometrics · Economics 2024-09-10 Marko Mlikota , Frank Schorfheide

Variational inference is increasingly being addressed with stochastic optimization. In this setting, the gradient's variance plays a crucial role in the optimization procedure, since high variance gradients lead to poor convergence. A…

Machine Learning · Computer Science 2020-10-23 Tomas Geffner , Justin Domke

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…

Applications · Statistics 2019-07-05 Ali Reza Fotouhi

There is currently a focus on statistical methods which can use external trial information to help accelerate the discovery, development and delivery of medicine. Bayesian methods facilitate borrowing which is "dynamic" in the sense that…

Methodology · Statistics 2024-08-09 Sophia Axillus , Alex Lewin , Darren Scott

AB testing aids business operators with their decision making, and is considered the gold standard method for learning from data to improve digital user experiences. However, there is usually a gap between the requirements of practitioners,…

Machine Learning · Computer Science 2023-07-28 Srivas Chennu , Andrew Maher , Christian Pangerl , Subash Prabanantham , Jae Hyeon Bae , Jamie Martin , Bud Goswami

It is generally believed that bias is minimized in well-controlled randomized clinical trials. However, bias can arise in active controlled noninferiority trials because the inference relies on a previously estimated effect size obtained…

Applications · Statistics 2013-12-02 Lei Nie , Zhiwei Zhang , Daniel Rubin , Jianxiong Chu

The planning and conduct of animal experiments in the European Union is subject to strict legal conditions. Still, many preclinical animal experiments are only poorly designed. As a consequence, discoveries that are made in one animal…

Methodology · Statistics 2023-01-16 Theresa Unseld

We develop a method for hybrid analyses that uses external controls to augment internal control arms in randomized controlled trials (RCT) where the degree of borrowing is determined based on similarity between RCT and external control…

Methodology · Statistics 2023-05-11 Evan Kwiatkowski , Jiawen Zhu , Xiao Li , Herbert Pang , Grazyna Lieberman , Matthew A. Psioda

There is a considerable amount of ongoing research on the use of Bayesian control charts for detecting a shift from a good quality distribution to a bad quality distribution in univariate and multivariate processes. It is widely claimed…

Applications · Statistics 2017-12-19 Amir Ahmadi-Javid , Mohsen Ebadi

Bayesian Optimization is methodology used in statistical modelling that utilizes a Gaussian process prior distribution to iteratively update a posterior distribution towards the true distribution of the data. Finding unbiased informative…

Machine Learning · Computer Science 2021-01-05 Ruduan Plug

Establishing the frequentist properties of Bayesian approaches widens their appeal and offers new understanding. In hypothesis testing, Bayesian model averaging addresses the problem that conclusions are sensitive to variable selection. But…

Methodology · Statistics 2025-05-12 Helen R. Fryer , Nicolas Arning , Daniel J. Wilson

Modern machine learning applications should be able to address the intrinsic challenges arising over inference on massive real-world datasets, including scalability and robustness to outliers. Despite the multiple benefits of Bayesian…

Machine Learning · Computer Science 2020-11-10 Dionysis Manousakas , Cecilia Mascolo

Purpose of Review: Negative controls are a powerful tool to detect and adjust for bias in epidemiological research. This paper introduces negative controls to a broader audience and provides guidance on principled design and causal analysis…

Methodology · Statistics 2022-07-20 Xu Shi , Wang Miao , Eric Tchetgen Tchetgen

There is a growing interest in the implementation of platform trials, which provide the flexibility to incorporate new treatment arms during the trial and the ability to halt treatments early based on lack of benefit or observed…

Methodology · Statistics 2023-08-25 Peter Greenstreet , Thomas Jaki , Alun Bedding , Pavel Mozgunov

In conventional randomized controlled trials, adjustment for baseline values of covariates known to be at least moderately associated with the outcome increases the power of the trial. Recent work has shown particular benefit for more…

Methodology · Statistics 2023-11-27 James Willard , Shirin Golchi , Erica EM Moodie

This paper explores the multiple testing problem for sparse high-dimensional data with binary outcomes. We propose novel empirical Bayes multiple testing procedures based on a spike-and-slab posterior and then evaluate their performance in…

Statistics Theory · Mathematics 2025-06-16 Yu-Chien Bo Ning

This paper develops Bayesian sample size formulae for experiments comparing two groups. We assume the experimental data will be analysed in the Bayesian framework, where pre-experimental information from multiple sources can be represented…

Methodology · Statistics 2022-03-09 Haiyan Zheng , Thomas Jaki , James M. S. Wason

Randomized controlled trials (RCTs) often include subgroup analyses to assess whether treatment effects vary across pre-specified patient populations. However, these analyses frequently suffer from small sample sizes which limit the power…

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