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Recent shifts in global health priorities have positioned Population Health Management (PHM) as a central area of focus. However, optimizing PHM strategies presents several challenges: managing high-dimensional patient covariates, tracking…

Optimization and Control · Mathematics 2026-04-10 Daniel Adelman , Alba V Olivares-Nadal , Miaolan Xie

Blocking is often used to reduce known variability in designed experiments by collecting together homogeneous experimental units. A common modelling assumption for such experiments is that responses from units within a block are dependent.…

Methodology · Statistics 2018-11-07 W. G. Mueller , A. Rappold , D. C. Woods

One key challenge for multi-task Reinforcement learning (RL) in practice is the absence of task indicators. Robust RL has been applied to deal with task ambiguity, but may result in over-conservative policies. To balance the worst-case…

Machine Learning · Computer Science 2022-10-25 Mengdi Xu , Peide Huang , Yaru Niu , Visak Kumar , Jielin Qiu , Chao Fang , Kuan-Hui Lee , Xuewei Qi , Henry Lam , Bo Li , Ding Zhao

In randomized controlled trials (RCTs), treatment is often assigned by stratified randomization. I show that among all stratified randomization schemes which treat all units with probability one half, a certain matched-pair design achieves…

Econometrics · Economics 2022-06-17 Yuehao Bai

The clinical trial process, a critical phase in drug development, is essential for developing new treatments. The primary goal of interventional clinical trials is to evaluate the safety and efficacy of drug-based treatments for specific…

Machine Learning · Computer Science 2024-07-19 Ling Yue , Jonathan Li , Sixue Xing , Md Zabirul Islam , Bolun Xia , Tianfan Fu , Jintai Chen

There has been a split in the statistics community about the need for taking covariates into account in the design phase of a clinical trial. There are many advocates of using stratification and covariate-adaptive randomization to promote…

Methodology · Statistics 2011-02-21 William F. Rosenberger , Oleksandr Sverdlov

Dose selection is critical in pharmaceutical drug development, as it directly impacts therapeutic efficacy and patient safety of a drug. The Generalized Multiple Comparison Procedures and Modeling (MCP-Mod) approach is commonly used in…

Methodology · Statistics 2025-05-23 Lukas Pin , Oleksandr Sverdlov , Frank Bretz , Björn Bornkamp

Randomised Controlled Trials (RCTs) are the gold standard for estimating treatment effects across many fields of science. Technology companies have adopted A/B-testing methods as a modern RCT counterpart, where end-users are randomly…

Social and Information Networks · Computer Science 2024-09-20 Olivier Jeunen

We consider the classical problem of selecting the best of two treatments in clinical trials with binary response. The target is to find the design that maximizes the power of the relevant test. Many papers use a normal approximation to the…

Statistics Theory · Mathematics 2011-03-22 David Azriel , Micha Mandel , Yosef Rinott

Background: Multi-collimator proton minibeam radiation therapy (MC-pMBRT) has recently emerged as a versatile technique for dose shaping, enabling peak-valley dose patterns in organs-at-risk (OAR) while maintaining a uniform dose…

Medical Physics · Physics 2025-02-25 Nimita Shinde , Weijie Zhang , Yuting Lin , Hao Gao

This paper considers an optimal task allocation problem for human robot collaboration in human robot systems with persistent tasks. Such human robot systems consist of human operators and intelligent robots collaborating with each other to…

Robotics · Computer Science 2017-06-02 Bo Wu , Bin Hu , Hai Lin

We consider applying multi-armed bandits to model-assisted designs for dose-finding clinical trials. Multi-armed bandits are very simple and powerful methods to determine actions to maximize a reward in a limited number of trials. Among the…

Methodology · Statistics 2022-01-17 Masahiro Kojima

Robust Markov Decision Processes (MDPs) are a powerful framework for modeling sequential decision-making problems with model uncertainty. This paper proposes the first first-order framework for solving robust MDPs. Our algorithm interleaves…

Optimization and Control · Mathematics 2021-01-18 Julien Grand-Clément , Christian Kroer

Micro-randomized trials (MRTs), which sequentially randomize participants at multiple decision times, have gained prominence in digital intervention development. These sequential randomizations are often subject to certain constraints. In…

Applications · Statistics 2025-01-07 Xiang Meng , Walter Dempsey , Peng Liao , Nick Reid , Pedja Klasnja , Susan Murphy

Randomized controlled trials (RCTs) frequently utilize covariate-adaptive randomization (CAR) (e.g., stratified block randomization) and commonly suffer from imperfect compliance. This paper studies the identification and inference for the…

Econometrics · Economics 2025-05-02 Federico A. Bugni , Mengsi Gao , Filip Obradovic , Amilcar Velez

We consider reinforcement learning (RL) for a class of problems with bagged decision times. A bag contains a finite sequence of consecutive decision times. The transition dynamics are non-Markovian and non-stationary within a bag. All…

Machine Learning · Computer Science 2025-05-08 Daiqi Gao , Hsin-Yu Lai , Predrag Klasnja , Susan A. Murphy

Robust Markov decision processes (RMDPs) extend standard Markov decision processes (MDPs) to account for uncertainty in the transition probabilities. RMDPs have an uncertainty set that defines a set of possible transition functions, each of…

Logic in Computer Science · Computer Science 2026-04-30 Marnix Suilen , Guillermo A. Pérez

In mixed-autonomy traffic networks, autonomous vehicles (AVs) are required to make sequential routing decisions under uncertainty caused by dynamic and heterogeneous interactions with human-driven vehicles (HDVs). Early-stage greedy…

Optimization and Control · Mathematics 2025-05-12 Yu Bai , Yiming Li , Xi Xiong

The paper considers two different designs; a two-arm superiority cluster randomised controlled trial (RCT) with a continuous outcome, and a twoarm superiority cluster RCT with a binary outcome. From a Bayesian perspective, for the analysis…

Methodology · Statistics 2025-11-11 Abdullah Aloufi , Kevin Wilson , Nina Wilson , Lisa Shaw , Christopher Price

A common setting of reinforcement learning (RL) is a Markov decision process (MDP) in which the environment is a stochastic discrete-time dynamical system. Whereas MDPs are suitable in such applications as video-games or puzzles, physical…

Robotics · Computer Science 2022-11-29 Pavel Osinenko , Dmitrii Dobriborsci , Grigory Yaremenko , Georgiy Malaniya