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Optimal design of a Phase I cancer trial can be formulated as a stochastic optimization problem. By making use of recent advances in approximate dynamic programming to tackle the problem, we develop an approximation of the Bayesian optimal…

Methodology · Statistics 2010-12-01 Jay Bartroff , Tze Leung Lai

Recent advances in deep learning have made the use of large, deep neural networks with tens of millions of parameters. The sheer size of these networks imposes a challenging computational burden during inference. Existing work focuses…

Machine Learning · Computer Science 2021-05-11 Weixin Liang , James Zou

The last decade witnessed an explosion in the availability of data for operations research applications. Motivated by this growing availability, we propose a novel schema for utilizing data to design uncertainty sets for robust optimization…

Optimization and Control · Mathematics 2014-11-25 Dimitris Bertsimas , Vishal Gupta , Nathan Kallus

Adaptive seamless designs combine confirmatory testing, a domain of phase III trials, with features such as treatment or subgroup selection, typically associated with phase II trials. They promise to increase the efficiency of development…

Methodology · Statistics 2019-01-25 Tim Friede , Nigel Stallard , Nicholas Parsons

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…

Computer experiments can emulate the physical systems, help computational investigations, and yield analytic solutions. They have been widely employed with many engineering applications (e.g., aerospace, automotive, energy systems.…

Methodology · Statistics 2022-08-23 Yan Wang , Meng Wang , Areej AlBahar , Xiaowei Yue

Group testing (GT) is the art of identifying binary signals and the marketplace for exchanging new ideas for related fields such as unique-element counting, compressed sensing, traitor tracing, and geno-typing. A GT scheme can be…

Information Theory · Computer Science 2024-05-28 Hsin-Po Wang , Venkatesan Guruswami

Testing for normality is a widely used procedure in statistics and data analysis, often applied prior to employing methods that rely on the assumption of normally distributed data. While several existing tests target distributional…

Methodology · Statistics 2026-04-07 Akin Anarat , Holger Schwender

Therapeutic antibody candidates often require extensive engineering to improve key functional and developability properties before clinical development. This can be achieved through iterative design, where starting molecules are optimized…

Machine Learning · Computer Science 2025-09-23 Aniruddh Raghu , Sebastian Ober , Maxwell Kazman , Hunter Elliott

We study dropout regularization in continuous-time models through the lens of random-batch methods -- a family of stochastic sampling schemes originally devised to reduce the computational cost of interacting particle systems. We construct…

Machine Learning · Computer Science 2025-10-16 Antonio Álvarez-López , Martín Hernández

This paper discusses the problem of identifying differentially expressed groups of genes from a microarray experiment. The groups of genes are externally defined, for example, sets of gene pathways derived from biological databases. Our…

Statistics Theory · Mathematics 2009-09-29 Bradley Efron , Robert Tibshirani

Stepped wedge designs (SWDs) are increasingly used to evaluate longitudinal cluster-level interventions but pose substantial challenges for valid inference. Because crossover times are randomized, intervention effects are intrinsically…

Methodology · Statistics 2026-05-12 Fan Xia , K. C. Gary Chan , Emily Voldal , Avi Kenny , Patrick J. Heagerty , James P. Hughes

The statistical literature is known to be inconsistent in the use of the terms "permutation test" and "randomization test". Several authors succesfully argue that these terms should be used to refer to two distinct classes of tests and that…

Methodology · Statistics 2020-12-23 Jesse Hemerik , Jelle J. Goeman

Despite frequent calls for the overhaul of null hypothesis significance testing (NHST), this controversial procedure remains ubiquitous in behavioral, social and biomedical teaching and research. Little change seems possible once the…

Other Statistics · Statistics 2016-03-25 Jose D. Perezgonzalez

We propose a two-stage design for a clinical trial with an early stopping rule for safety. We use different criteria to assess early stopping and efficacy. The early stopping rule is based on a criteria that can be determined more quickly…

Methodology · Statistics 2013-07-25 Daniel Zelterman

Multiple testing problems arising in modern scientific applications can involve simultaneously testing thousands or even millions of hypotheses, with relatively few true signals. In this paper, we consider the multiple testing problem where…

Methodology · Statistics 2016-06-28 Ang Li , Rina Foygel Barber

We consider a generalization of group testing where the potentially contaminated sets are the members of a given hypergraph ${\cal F}=(V,E)$. This generalization finds application in contexts where contaminations can be conditioned by some…

Data Structures and Algorithms · Computer Science 2023-11-28 Annalisa De Bonis

We present a new experimental design procedure that divides a set of experimental units into two groups in order to minimize error in estimating an additive treatment effect. One concern is minimizing error at the experimental design stage…

Methodology · Statistics 2021-02-02 Abba M. Krieger , David Azriel , Adam Kapelner

Stepped wedge cluster randomized trials (SW-CRTs) have become increasingly popular and are used for a variety of interventions and outcomes, often chosen for their feasibility advantages. SW-CRTs must account for time trends in the outcome…

Methodology · Statistics 2024-07-16 Lee Kennedy-Shaffer , Victor De Gruttola , Marc Lipsitch

Motivated by gene set enrichment analysis, we investigate the problem of combined hypothesis testing on a graph. We introduce a general framework to effectively use the structural information of the underlying graph when testing…

Methodology · Statistics 2016-10-26 Shulei Wang , Ming Yuan
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