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The field of precision medicine aims to tailor treatment based on patient-specific factors in a reproducible way. To this end, estimating an optimal individualized treatment regime (ITR) that recommends treatment decisions based on patient…

Identifying subgroups, which respond differently to a treatment, both in terms of efficacy and safety, is an important part of drug development. A well-known challenge in exploratory subgroup analyses is the small sample size in the…

Computation · Statistics 2016-06-28 Marius Thomas , Björn Bornkamp

We present a unified deterministic approach for experimental design problems using the method of interlacing polynomials. Our framework recovers the best-known approximation guarantees for the well-studied D/A/E-design problems with simple…

Data Structures and Algorithms · Computer Science 2024-10-16 Lap Chi Lau , Robert Wang , Hong Zhou

We improve the existing results of optimal partial profile paired choice designs and provide new designs for situations where the choice set sizes are greater than two. The optimal designs are obtained under the main effects models and the…

Methodology · Statistics 2015-10-28 Soumen Manna , Ashish Das

This paper discusses the problem of determining optimal designs for regression models, when the observations are dependent and taken on an interval. A complete solution of this challenging optimal design problem is given for a broad class…

Methodology · Statistics 2015-02-25 Holger Dette , Andrey Pepelyshev , Anatoly Zhigljavsky

Identifying causal effects is a key problem of interest across many disciplines. The two long-standing approaches to estimate causal effects are observational and experimental (randomized) studies. Observational studies can suffer from…

Machine Learning · Computer Science 2024-07-09 Sepehr Elahi , Sina Akbari , Jalal Etesami , Negar Kiyavash , Patrick Thiran

This work considers the problem of personalized dose guidance using Bayesian optimization that learns the optimum drug dose tailored to each individual, thus improving therapeutic outcomes. Safe learning using interior point method ensures…

Optimization and Control · Mathematics 2022-11-01 Dinesh Krishnamoorthy , Francis J. Doyle

The US FDA's Project Optimus initiative that emphasizes dose optimization prior to marketing approval represents a pivotal shift in oncology drug development. It has a ripple effect for rethinking what changes may be made to conventional…

Methodology · Statistics 2024-06-04 Yuhan Li , Yiding Zhang , Gu Mi , Ji Lin

In this paper we consider two-stage adaptive dose-response study designs, where the study design is changed at an interim analysis based on the information collected so far. In a simulation study, two approaches will be compared for these…

Methodology · Statistics 2016-02-08 Emma McCallum , Björn Bornkamp

An accurate estimation of the dose-response relationship is important to determine the optimal dose. For this purpose, a dose finding trial in which subjects are randomized to a few fixed dose levels is the most commonly used design. Often,…

Methodology · Statistics 2025-08-07 Jixian Wang , Zhiwei Zhang , Ram Tiwari

We propose a Bayesian optimal phase 2 design for jointly monitoring efficacy and toxicity, referred to as BOP2-TE, to improve the operating characteristics of the BOP2 design proposed by Zhou et al. (2017). BOP2-TE utilizes a…

Methodology · Statistics 2024-08-13 Kai Chen , Heng Zhou , J. Jack Lee , Ying Yuan

The optimization of large experiments in fundamental science, such as detectors for subnuclear physics at particle colliders, shares with the optimization of complex systems for industrial or societal applications the common issue of…

Instrumentation and Detectors · Physics 2026-03-30 Tommaso Dorigo , Pietro Vischia , Shahzaib Abbas , Tosin Adewumi , Lama Alkhaled , Lorenzo Arsini , Muhammad Awais , Maxim Borisyak , András Bóta , Florian Bury , Sascha Caron , James Carzon , Long Chen , Prakash C. Chhipa , Paul Christakopoulos , Jacopo De Piccoli , Andrea De Vita , Zlatan Dimitrov , Michele Doro , Luigi Favaro , Francesco Ferranti , Santiago Folgueras , Rihab Gargouri , Nicolas R. Gauger , Andrea Giammanco , Christian Glaser , Tobias Golling , João A. Gonçalves , Hui Han , Hamza Hanif , Lukas Heinrich , Yan Chai Hum , Florent Imbert , Andreas Ipp , Michael Kagan , Noor Kainat Syeda , Rukshak Kapoor , Aparup Khatua , Eduard J. Kerkhoven , Jan Kieseler , Tobias Kortus , Ashish Kumar Singh , Marius S. Köppel , Daniel Lanchares , Ann Lee , Pelayo Leguina , Christos Leonidopoulos , Giuseppe Levi , Boying Li , Chang Liu , Marcus Liwicki , Karl Lowenmark , Enrico Lupi , Carlo Mancini-Terracciano , Dominik Maršík , Leonidas Matsakas , Hamam Mokayed , Federico Nardi , Amirhossein Nayebiastaneh , Xuan T. Nguyen , Aitor Orio , Jingjing Pan , Jigar Patel , Carmelo Pellegrino , María Pereira Martínez , Karolos Potamianos , Shah Rukh Qasim , Martin Ravn , Luis Recabarren Vergara , Humberto Reyes-González , Hipolito A. Riveros Guevara , Ippocratis D. Saltas , Rajkumar Saini , Fredrik Sandin , Alexander Schilling , Kylian Schmidt , Nicola Serra , Saqib Shahzad , Foteini Simistira Liwicki , Giles C. Strong , Kristian Tchiorniy , Mia Tosi , Andrey Ustyuzhanin , Xabier Cid Vidal , Kinga A. Wozniak , Mengqing Wu , Zahraa Zaher

Successful pharmaceutical drug development requires finding correct doses that provide an optimum balance between efficacy and toxicity. Competing responses to dose such as efficacy and toxicity often will increase with dose, and it is…

Applications · Statistics 2024-01-26 A. Lawrence Gould

Resolvable designs with two blocks per replicate are studied from an optimality perspective. Because in practice the number of replicates is typically less than the number of treatments, arguments can be based on the dual of the information…

Statistics Theory · Mathematics 2009-09-29 J. P. Morgan , Brian H. Reck

FDA's Project Optimus initiative for oncology drug development emphasizes selecting a dose that optimizes both efficacy and safety. When an inferentially adaptive Phase 2/3 design with dose selection is implemented to comply with the…

Applications · Statistics 2024-12-12 Cong Chen , Mo Huang , Xuekui Zhang

Characterizing interactions between drugs is important to avoid potentially harmful combinations, to reduce off-target effects of treatments and to fight antibiotic resistant pathogens, among others. Here we present a network inference…

Molecular Networks · Quantitative Biology 2014-11-07 Roger Guimera , Marta Sales-Pardo

In an order-of-addition experiment, each treatment is a permutation of m components. It is often unaffordable to test all the m! treatments, and the design problem arises. We consider a model that incorporates the order of each pair of…

Statistics Theory · Mathematics 2018-05-15 Jiayu Peng , Rahul Mukerjee , Dennis K. J. Lin

Optimal experimental designs are probability measures with finite support enjoying an optimality property for the computation of least squares estimators. We present an algorithm for computing optimal designs on finite sets based on the…

Numerical Analysis · Mathematics 2022-01-11 Federico Piazzon

Adaptive designs are commonly used in clinical and drug development studies for optimum utilization of available resources. In this article, we consider the problem of estimating the effect of the selected (better) treatment using a…

Statistics Theory · Mathematics 2023-01-24 Masihuddin , Neeraj Misra

Clinical guidance systems have been widely adopted to help medical staffs to avoid preventable medical errors such as delay in diagnosis, treatment or untended deviations from best practice guidelines. However, because patient condition…

Computers and Society · Computer Science 2016-10-24 Maryam Rahmaniheris , Yu Jiang , Lui Sha
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