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Bayesian optimization is proposed for automatic learning of optimal controller parameters from experimental data. A probabilistic description (a Gaussian process) is used to model the unknown function from controller parameters to a…

Systems and Control · Computer Science 2019-01-24 Matthias Neumann-Brosig , Alonso Marco , Dieter Schwarzmann , Sebastian Trimpe

Biological research often involves testing a growing number of null hypotheses as new data is accumulated over time. We study the problem of online control of the familywise error rate (FWER), that is testing an apriori unbounded sequence…

Methodology · Statistics 2020-03-10 Jinjin Tian , Aaditya Ramdas

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

The fine-tuning of pre-trained language models has resulted in the widespread availability of task-specific models. Model merging offers an efficient way to create multi-task models by combining these fine-tuned models at the parameter…

Computation and Language · Computer Science 2025-04-29 Sanwoo Lee , Jiahao Liu , Qifan Wang , Jingang Wang , Xunliang Cai , Yunfang Wu

Controlled branching processes are stochastic growth population models in which the number of individuals with reproductive capacity in each generation is controlled by a random control function. The purpose of this work is to examine the…

Methodology · Statistics 2019-07-03 M. González , R. Martínez , C. Minuesa , I. del Puerto

Mendelian randomization (MR) is widely used to uncover causal relationships in the presence of unmeasured confounders. However, most existing MR methods presuppose linear causality, risking bias when the true relationships are nonlinear,…

Methodology · Statistics 2025-08-05 Xinpei Wang , Tao Huang , Jinzhu Jia

This study proposes a new Bayesian approach to infer binary treatment effects. The approach treats counterfactual untreated outcomes as missing observations and infers them by completing a matrix composed of realized and potential untreated…

Methodology · Statistics 2021-04-20 Masahiro Tanaka

The use of patient-level information from previous studies, registries, and other external datasets can support the analysis of single-arm and randomized controlled trials to evaluate and test experimental treatments. However, the…

Methodology · Statistics 2025-10-23 Gopal Kotecha , Daniel E. Schwartz , Steffen Ventz , Lorenzo Trippa

False discovery rate (FDR) has been widely used as an error measure in large scale multiple testing problems, but most research in the area has been focused on procedures for controlling the FDR based on independent test statistics or the…

Methodology · Statistics 2009-09-29 Weihua Tang , Cun-Hui Zhang

BACKGROUND: Random-effects meta-analysis within a hierarchical normal modeling framework is commonly implemented in a wide range of evidence synthesis applications. More general problems may even be tackled when considering meta-regression…

Computation · Statistics 2022-12-27 Christian Röver , Tim Friede

The ongoing replication crisis in science has increased interest in the methodology of replication studies. We propose a novel Bayesian analysis approach using power priors: The likelihood of the original study's data is raised to the power…

Methodology · Statistics 2023-09-28 Samuel Pawel , Frederik Aust , Leonhard Held , Eric-Jan Wagenmakers

It is proposed in the literature that in some complicated problems maximum likelihood estimates (MLE) are not suitable or even do not exist. An alternative to MLE for estimation of the parameters is the Bayesian method. The Markov chain…

Applications · Statistics 2019-10-08 Ali Reza Fotouhi

The primary goal of dose allocation in phase I trials is to minimize patient exposure to subtherapeutic or excessively toxic doses, while accurately recommending a phase II dose that is as close as possible to the maximum tolerated dose…

Methodology · Statistics 2025-03-21 Jiapeng Xu , Dehua Bi , Shenghua Kelly Fan , Bee Leng Lee , Ying Lu

Effective and rapid decision-making from randomized controlled trials (RCTs) requires unbiased and precise treatment effect inferences. Two strategies to address this requirement are to adjust for covariates that are highly correlated with…

Methodology · Statistics 2024-02-29 Alyssa M. Vanderbeek , Arman Sabbaghi , Jon R. Walsh , Charles K. Fisher

Phase I early-phase clinical studies aim at investigating the safety and the underlying dose-toxicity relationship of a drug or combination. While little may still be known about the compound's properties, it is crucial to consider…

Methodology · Statistics 2022-09-13 Christian Röver , Moreno Ursino , Tim Friede , Sarah Zohar

This article focuses on inference in logistic regression for high-dimensional binary outcomes. A popular approach induces dependence across the outcomes by including latent factors in the linear predictor. Bayesian approaches are useful for…

Methodology · Statistics 2025-04-23 Lorenzo Mauri , David B. Dunson

During drug development, evidence can emerge to suggest a treatment is more effective in a specific patient subgroup. Whilst early trials may be conducted in biomarker-mixed populations, later trials are more likely to enrol…

Methodology · Statistics 2023-06-07 Lorna Wheaton , Dan Jackson , Sylwia Bujkiewicz

We propose a fully Bayesian approach for causal inference with multivariate categorical data based on staged tree models, a class of probabilistic graphical models capable of representing asymmetric and context-specific dependencies. To…

Methodology · Statistics 2025-11-06 Andrea Cremaschi , Manuele Leonelli , Gherardo Varando

Prior information is often incorporated informally when planning a clinical trial. Here, we present an approach on how to incorporate prior information, such as data from historical clinical trials, into the nuisance parameter based sample…

Applications · Statistics 2019-03-08 Tobias Mütze , Heinz Schmidli , Tim Friede

Inferring adverse events (AEs) of medical products from Spontaneous Reporting Systems (SRS) databases is a core challenge in contemporary pharmacovigilance. Bayesian methods for pharmacovigilance are attractive for their rigorous ability to…

Methodology · Statistics 2025-02-17 Yihao Tan , Marianthi Markatou , Saptarshi Chakraborty