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Despite the increasing prevalence of vector observations, computation of optimal experimental design for multi-response models has received limited attention. To address this problem within the framework of approximate designs, we introduce…

Computation · Statistics 2026-02-13 Pál Somogyi , Samuel Rosa , Radoslav Harman

Researchers and practitioners are increasingly considering reinforcement learning to optimize decisions in complex domains like robotics and healthcare. To date, these efforts have largely utilized expectation-based learning. However,…

Machine Learning · Computer Science 2026-04-13 Zequn Chen , Wesley J. Marrero

Motivation: Precision medicine is a major trend in the future of medicine. It aims to provide tailored medical treatment and prevention strategies based on an individual's unique characteristics and needs. Biomarker is the primary source of…

Methodology · Statistics 2023-05-17 Liuyi Lan , Xuanjin Cheng , Li Xing , Xuekui Zhang

Hierarchical random effect models are used for different purposes in clinical research and other areas. In general, the main focus is on population parameters related to the expected treatment effects or group differences among all units of…

Applications · Statistics 2021-04-07 Maryna Prus , Norbert Benda , Rainer Schwabe

Regression testing plays a critical role in maintaining software reliability, particularly for ROS-based autonomous systems (ROSAS), which frequently undergo continuous integration and iterative development. However, conventional regression…

Software Engineering · Computer Science 2025-06-23 Yupeng Jiang , Shuaiyi Sun , Xi Zheng

In many operational settings, decision-makers must commit to actions before uncertainty resolves, but existing optimization tools rarely quantify how consistently a chosen decision remains optimal across plausible scenarios. This paper…

Machine Learning · Statistics 2025-12-18 Wenbin Zhou , Agni Orfanoudaki , Shixiang Zhu

An important task in early phase drug development is to identify patients, which respond better or worse to an experimental treatment. While a variety of different subgroup identification methods have been developed for the situation of…

Methodology · Statistics 2020-01-22 Marius Thomas , Björn Bornkamp , Heidi Seibold

Prediction sets can wrap around any ML model to cover unknown test outcomes with a guaranteed probability. Yet, it remains unclear how to use them optimally for downstream decision-making. Here, we propose a decision-theoretic framework…

Machine Learning · Statistics 2026-02-10 Tao Wang , Edgar Dobriban

An important objective in the development of targeted therapies is to identify the populations where the treatment under consideration has positive benefit risk balance. We consider pivotal clinical trials, where the efficacy of a treatment…

We propose an efficient probabilistic method to solve a deterministic problem -- we present a randomized optimization approach that drastically reduces the enormous computational cost of optimizing designs under many load cases for both…

Optimization and Control · Mathematics 2017-10-11 Xiaojia Zhang , Eric de Sturler , Glaucio H. Paulino

Many real-world experimental design problems (a) evaluate multiple experimental conditions in parallel and (b) replicate each condition multiple times due to large and heteroscedastic observation noise. Given a fixed total budget, this…

The problem of how to genetically modify cells in order to maximize a certain cellular phenotype has taken center stage in drug development over the last few years (with, for example, genetically edited CAR-T, CAR-NK, and CAR-NKT cells…

Quantitative Methods · Quantitative Biology 2023-02-03 Aldo Pacchiano , Drausin Wulsin , Robert A. Barton , Luis Voloch

e consider the experimental design problem in an online environment, an important practical task for reducing the variance of estimates in randomized experiments which allows for greater precision, and in turn, improved decision making. In…

Methodology · Statistics 2022-03-07 David Arbour , Drew Dimmery , Tung Mai , Anup Rao

As the COVID-19 pandemic progresses, researchers are reporting findings of randomized trials comparing standard care with care augmented by experimental drugs. The trials have small sample sizes, so estimates of treatment effects are…

Econometrics · Economics 2020-06-02 Charles F. Manski , Aleksey Tetenov

Model selection/optimization in conformal inference is challenging, since it may break the exchangeability between labeled and unlabeled data. We study this problem in the context of conformal selection, which uses conformal p-values to…

Methodology · Statistics 2024-11-28 Tian Bai , Ying Jin

We study the design of multi-armed parallel group clinical trials to estimate personalized treatment rules that identify the best treatment for a given patient with given covariates. Assuming that the outcomes in each treatment arm are…

Statistics Theory · Mathematics 2022-07-13 David Azriel , Yosef Rinott , Martin Posch

CART random forests are among the most widely used modern predictive methods, with well-documented empirical success. Yet, at the mechanistic level, the algorithm is often treated as a black box because of its complexity. In this paper, we…

Machine Learning · Statistics 2026-05-27 Tianxing Mei , Yingying Fan , Mingming Leng , Jinchi Lv

While experimental design often focuses on selecting the single best alternative from a finite set (e.g., in ranking and selection or best-arm identification), many pure-exploration problems pursue richer goals. Given a specific goal,…

Machine Learning · Statistics 2025-05-28 Chao Qin , Wei You

In the current competitive environment, it is crucial for manufacturers to make the best decisions in the shortest time, in order to optimize the efficiency and effectiveness of the manufacturing systems. These decisions reach from the…

Artificial Intelligence · Computer Science 2020-06-16 Fadwa Oukhay , Pascale Zaraté , Taieb Romdhane

Early stage drug discovery and molecular design projects often follow iterative design-make-test cycles. The selection of which compounds to synthesize from all possible candidate compounds is a complex decision inherent to these design…

Quantitative Methods · Quantitative Biology 2025-03-19 Jenna C. Fromer , Alexandra D. Volkova , Connor W. Coley