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Difference in proportions is frequently used to measure treatment effect for binary outcomes in randomized clinical trials. The estimation of difference in proportions can be assisted by adjusting for prognostic baseline covariates to…

Methodology · Statistics 2023-08-31 Jialuo Liu , Dong Xi

In this paper, we propose a test for the equality of multiple distributions based on kernel mean embeddings. Our framework provides a flexible way to handle multivariate or even high-dimensional data by virtue of kernel methods and allows…

Statistics Theory · Mathematics 2020-06-08 Ilmun Kim

A significant obstacle in the development of robust machine learning models is covariate shift, a form of distribution shift that occurs when the input distributions of the training and test sets differ while the conditional label…

Machine Learning · Statistics 2021-11-17 Nilesh Tripuraneni , Ben Adlam , Jeffrey Pennington

Conformalized multiple testing offers a model-free way to control predictive uncertainty in decision-making. Existing methods typically use only part of the available data to build score functions tailored to specific settings. We propose a…

Methodology · Statistics 2026-05-22 Yuyang Huo , Xiaoyang Wu , Changliang Zou , Haojie Ren

To increase statistical efficiency in a randomized experiment, researchers often use stratification (i.e., blocking) in the design stage. However, conventional practices of stratification fail to exploit valuable information about the…

Methodology · Statistics 2025-10-28 Zikai Li

A common problem in machine learning is determining if a variable significantly contributes to a model's prediction performance. This problem is aggravated for datasets, such as gene expression datasets, that suffer the worst case of…

Methodology · Statistics 2023-10-13 Yue Wu , Ted Spaide , Kenji Nakamichi , Russell Van Gelder , Aaron Lee

The allocation problem for multivariate stratified random sampling as a problem of stochastic matrix integer mathematical programming is considered. With these aims the asymptotic normality of sample covariance matrices for each strata is…

Statistics Theory · Mathematics 2011-05-18 Jose A. Diaz-Garcia , Rogelio Ramos-Quiroga

The estimation of functional networks through functional covariance and graphical models have recently attracted increasing attention in settings with high dimensional functional data, where the number of functional variables p is…

Statistics Theory · Mathematics 2024-09-05 Qin Fang , Qing Jiang , Xinghao Qiao

Variational inequalities have gained significant attention in machine learning and optimization research. While stochastic methods for solving these problems typically assume independent data sampling, we investigate an alternative approach…

Optimization and Control · Mathematics 2025-10-22 Daniil Medyakov , Gleb Molodtsov , Grigoriy Evseev , Egor Petrov , Aleksandr Beznosikov

Varying domains and biased datasets can lead to differences between the training and the target distributions, known as covariate shift. Current approaches for alleviating this often rely on estimating the ratio of training and target…

Machine Learning · Statistics 2020-10-27 Bijan Mazaheri , Siddharth Jain , Jehoshua Bruck

We study a linear observation model with an unknown permutation called \textit{permuted/shuffled linear regression}, where responses and covariates are mismatched and the permutation forms a discrete, factorial-size parameter. The…

Statistics Theory · Mathematics 2026-01-23 Hirofumi Ota , Masaaki Imaizumi

Estimating a covariance matrix is central to high-dimensional data analysis. Empirical analyses of high-dimensional biomedical data, including genomics, proteomics, microbiome, and neuroimaging, among others, consistently reveal strong…

Methodology · Statistics 2024-12-05 Yifan Yang , Chixiang Chen , Shuo Chen

Randomized experiments are a crucial tool for causal inference in many different fields. Rerandomization addresses any covariate imbalance in such experiments by resampling treatment assignments until certain balance criteria are satisfied.…

Methodology · Statistics 2025-05-27 Jiuyao Lu , Daogao Liu , Zhanran Lin , Xiaomeng Wang

Although complete randomization ensures covariate balance on average, the chance for observing significant differences between treatment and control covariate distributions increases with many covariates. Rerandomization discards…

Statistics Theory · Mathematics 2017-08-15 Xinran Li , Peng Ding , Donald B. Rubin

Covariate-adaptive randomization (CAR) procedures are frequently used in comparative studies to increase the covariate balance across treatment groups. However, because randomization inevitably uses the covariate information when forming…

Statistics Theory · Mathematics 2022-07-08 Wei Ma , Yichen Qin , Yang Li , Feifang Hu

The sample covariance matrix becomes non-invertible in high-dimensional settings, making classical multivariate statistical methods inapplicable. Various regularization techniques address this issue by imposing a structured target matrix to…

Methodology · Statistics 2025-03-13 Atiq Ur Rehman , Muhammad Farooq

Mutation testing is a standard technique to evaluate the quality of a test suite. Due to its computationally intensive nature, many approaches have been proposed to make this technique feasible in real case scenarios. Among these…

Software Engineering · Computer Science 2016-07-11 Ali Parsai , Alessandro Murgia , Serge Demeyer

Given independent samples from P and Q, two-sample permutation tests allow one to construct exact level tests when the null hypothesis is P=Q. On the other hand, when comparing or testing particular parameters $\theta$ of P and Q, such as…

Statistics Theory · Mathematics 2013-04-23 EunYi Chung , Joseph P. Romano

Randomized experiments are increasingly employed in two-sided markets, such as buyer--seller platforms, to evaluate the effects of marketplace interventions. These experiments must reflect the underlying two-sided market structure in their…

Methodology · Statistics 2026-03-30 Jizhou Liu , Azeem M. Shaikh , Panos Toulis

Two commonly used methods for improving precision and power in clinical trials are stratified randomization and covariate adjustment. However, many trials do not fully capitalize on the combined precision gains from these two methods, which…