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Estimation using pooled sampling has long been an area of interest in the group testing literature. Such research has focused primarily on the assumed use of fixed sampling plans (i), although some recent papers have suggested alternative…

统计理论 · 数学 2017-03-27 Gregory Haber , Yaakov Malinovsky , Paul Albert

We consider the problem of generating confidence sets in randomized experiments with noncompliance. We show that a refinement of a randomization-based procedure proposed by Imbens and Rosenbaum (2005) has desirable properties. Namely, we…

统计理论 · 数学 2025-02-11 P. M. Aronow , Haoge Chang , Patrick Lopatto

Covariate adjustment is widely recommended to improve statistical efficiency in randomized clinical trials (RCTs), yet empirical evidence comparing available strategies remains limited. This lack of real-world evaluation leaves unresolved…

应用统计 · 统计学 2026-02-03 Yulin Shao , Liangbo Lyu , Menggang Yu , Bingkai Wang

Practitioners in diverse fields such as healthcare, economics and education are eager to apply machine learning to improve decision making. The cost and impracticality of performing experiments and a recent monumental increase in electronic…

机器学习 · 计算机科学 2023-08-01 Fredrik D. Johansson , Uri Shalit , Nathan Kallus , David Sontag

In this paper, we consider robust control using randomized algorithms. We extend the existing order statistics distribution theory to the general case in which the distribution of population is not assumed to be continuous and the order…

最优化与控制 · 数学 2008-05-13 Xinjia Chen , Kemin Zhou

This paper considers the problem of sequentially detecting a change in the joint distribution of multiple data sources under a sampling constraint. Specifically, the channels or sources generate observations that are independent over time,…

统计方法学 · 统计学 2024-03-26 Anamitra Chaudhuri , Georgios Fellouris , Ali Tajer

We study sequential prediction of real-valued, arbitrary and unknown sequences under the squared error loss as well as the best parametric predictor out of a large, continuous class of predictors. Inspired by recent results from…

机器学习 · 计算机科学 2014-01-24 N. Denizcan Vanli , Suleyman S. Kozat

In a recent work, Chen, Hoza, Lyu, Tal and Wu (FOCS 2023) showed an improved error reduction framework for the derandomization of regular read-once branching programs (ROBPs). Their result is based on a clever modification to the inverse…

计算复杂性 · 计算机科学 2023-12-08 Eshan Chattopadhyay , Jyun-Jie Liao

In randomized clinical trials, adjustments for baseline covariates at both design and analysis stages are highly encouraged by regulatory agencies. A recent trend is to use a model-assisted approach for covariate adjustment to gain…

统计方法学 · 统计学 2021-07-14 Ting Ye , Jun Shao , Yanyao Yi , Qingyuan Zhao

This work interprets and generalizes consensus-type algorithms as switching dynamics leading to symmetrization of some vector variables with respect to the actions of a finite group. We show how the symmetrization framework we develop…

量子物理 · 物理学 2015-06-17 Luca Mazzarella , Francesco Ticozzi , Alain Sarlette

This article considers causal inference for treatment contrasts from a randomized experiment using potential outcomes in a finite population setting. Adopting a Neymanian repeated sampling approach that integrates such causal inference with…

统计方法学 · 统计学 2016-06-17 Rahul Mukerjee , Tirthankar Dasgupta , Donald B. Rubin

Based on our studies done on two-dimensional autonomous systems, forced non-autonomous systems and time-delayed systems, we propose a unified methodology - that uses renormalization group theory - for finding out existence of periodic…

混沌动力学 · 物理学 2015-05-19 Amartya Sarkar , J. K. Bhattacharjee , Sagar Chakraborty , Dhruba Banerjee

The relationship between overparameterization, stability, and generalization remains incompletely understood in the setting of discontinuous classifiers. We address this gap by establishing a generalization bound for finite function classes…

机器学习 · 计算机科学 2026-03-04 Jonas von Berg , Adalbert Fono , Massimiliano Datres , Sohir Maskey , Gitta Kutyniok

This paper introduces an open-ended sequential algorithm for computing the p-value of a test using Monte Carlo simulation. It guarantees that the resampling risk, the probability of a different decision than the one based on the theoretical…

统计理论 · 数学 2013-07-30 Axel Gandy

Predicting risks of chronic diseases has become increasingly important in clinical practice. When a prediction model is developed in a given source cohort, there is often a great interest to apply the model to other cohorts. However, due to…

统计方法学 · 统计学 2020-03-05 Zheng Jiayin , Zheng Yingye , Hsu Li

Rerandomization utilizes modern computing ability to improve covariate balance while adhering to the randomization principle originally advocated by RA Fisher. Affinely invariant rerandomization has the ``Equal Percent Variance Reducing''…

统计方法学 · 统计学 2025-04-03 Zhen Zhong , Donald B. Rubin

There are multiple cluster randomised trial designs that vary in when the clusters cross between control and intervention states, when observations are made within clusters, and how many observations are made at that time point. Identifying…

统计方法学 · 统计学 2023-07-20 Samuel I. Watson , Alan Girling , Karla Hemming

A perturbative description of Large Scale Structure is a cornerstone of our understanding of the observed distribution of matter in the universe. Renormalization is an essential and defining step to make this description physical and…

高能物理 - 理论 · 物理学 2016-06-08 Ali Akbar Abolhasani , Mehrdad Mirbabayi , Enrico Pajer

Valid estimation of a causal effect using instrumental variables requires that all of the instruments are independent of the outcome conditional on the risk factor of interest and any confounders. In Mendelian randomization studies with…

统计方法学 · 统计学 2020-11-23 Andrew J. Grant , Stephen Burgess

Science can be seen as a sequential process where each new study augments evidence to the existing knowledge. To have the best prospects to make an impact in this process, a new study should be designed optimally taking into account the…

统计方法学 · 统计学 2017-01-03 Juha Karvanen , Mikko J. Sillanpää