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The topic of multiple hypotheses testing now has a potpourri of novel theories and ubiquitous applications in diverse scientific fields. However, the universal utility of this field often hinders the possibility of having a generalized…

Statistics Theory · Mathematics 2025-04-25 Monitirtha Dey , Subir Kumar Bhandari

Sub-sampling is a common and often effective method to deal with the computational challenges of large datasets. However, for most statistical models, there is no well-motivated approach for drawing a non-uniform subsample. We show that the…

Machine Learning · Statistics 2017-09-07 Daniel Ting , Eric Brochu

We propose a novel resampling-based method to construct an asymptotically exact test for any subset of hypotheses on coefficients in high-dimensional linear regression. It can be embedded into any multiple testing procedure to make…

Methodology · Statistics 2022-05-26 Anna Vesely , Jelle J. Goeman , Livio Finos

Traditional statistics forbids use of test data (a.k.a. holdout data) during training. Dwork et al. 2015 pointed out that current practices in machine learning, whereby researchers build upon each other's models, copying hyperparameters and…

Machine Learning · Computer Science 2021-03-01 Sanjeev Arora , Yi Zhang

In online multiple testing, an a priori unknown number of hypotheses are tested sequentially, i.e. at each time point a test decision for the current hypothesis has to be made using only the data available so far. Although many powerful…

Methodology · Statistics 2025-03-11 Vincent Jankovic , Lasse Fischer , Werner Brannath

Fair scores reward ensemble forecast members that behave like samples from the same distribution as the verifying observations. They are therefore an attractive choice as loss functions to train data-driven ensemble forecasts or…

Atmospheric and Oceanic Physics · Physics 2026-02-18 Christopher David Roberts

The advent of modern data collection and processing techniques has seen the size, scale, and complexity of data grow exponentially. A seminal step in leveraging these rich datasets for downstream inference is understanding the…

Applications · Statistics 2024-07-30 Zeyi Wang , Eric Bridgeford , Shangsi Wang , Joshua T. Vogelstein , Brian Caffo

Conventional machine learning applications typically assume that data samples are independently and identically distributed (i.i.d.). However, practical scenarios often involve a data-generating process that produces highly dependent data…

Machine Learning · Computer Science 2022-04-04 Shaocong Ma , Ziyi Chen , Yi Zhou , Kaiyi Ji , Yingbin Liang

In time series analysis, statistics based on collections of estimators computed from sub-samples play a crucial role in an increasing variety of important applications. Proving results about the joint asymptotic distribution of such…

Statistics Theory · Mathematics 2013-05-27 Stanislav Volgushev , Xiaofeng Shao

Tactical selection of experiments to estimate an underlying model is an innate task across various fields. Since each experiment has costs associated with it, selecting statistically significant experiments becomes necessary. Classic linear…

Optimization and Control · Mathematics 2021-03-30 Raj K. Velicheti , Amber Srivastava , Srinivasa M. Salapaka

While a broad range of techniques have been proposed to tackle distribution shift, the simple baseline of training on an $\textit{undersampled}$ balanced dataset often achieves close to state-of-the-art-accuracy across several popular…

Machine Learning · Computer Science 2023-06-21 Niladri S. Chatterji , Saminul Haque , Tatsunori Hashimoto

We derive non-asymptotic confidence regions for the mean of a random vector whose coordinates have an unknown dependence structure. The random vector is supposed to be either Gaussian or to have a symmetric bounded distribution, and we…

Statistics Theory · Mathematics 2008-02-07 Sylvain Arlot , Gilles Blanchard , Etienne Roquain

Study samples often differ from the target populations of inference and policy decisions in non-random ways. Researchers typically believe that such departures from random sampling -- due to changes in the population over time and space, or…

Methodology · Statistics 2023-07-20 Tamara Broderick , Ryan Giordano , Rachael Meager

This paper studies distributed binary test of statistical independence under communication (information bits) constraints. While testing independence is very relevant in various applications, distributed independence test is particularly…

Statistics Theory · Mathematics 2021-11-29 Sebastian Espinosa , Jorge F. Silva , Pablo Piantanida

An important question in constructing Cross Validation (CV) estimators of the generalization error is whether rules can be established that allow "optimal" selection of the size of the training set, for fixed sample size $n$. We define the…

Statistics Theory · Mathematics 2015-11-11 Georgios Afendras , Marianthi Markatou

Adaptive experiments use preliminary analyses of the data to inform further course of action and are commonly used in many disciplines including medical and social sciences. Because the null hypothesis and experimental design are…

Methodology · Statistics 2026-05-26 Tobias Freidling , Qingyuan Zhao , Zijun Gao

In observational studies, researchers must select a method to control for confounding. Options include propensity score methods and regression. It remains unclear how dataset characteristics (size, overlap in propensity scores, exposure…

Methodology · Statistics 2022-10-21 J. Wilkinson , M. A. Mamas , E. Kontopantelis

Information extracted from electrohysterography recordings could potentially prove to be an interesting additional source of information to estimate the risk on preterm birth. Recently, a large number of studies have reported near-perfect…

Subsampling is a widely used and effective approach for addressing the computational challenges posed by massive datasets. Substantial progress has been made in developing non-uniform, probability-based subsampling schemes that prioritize…

Methodology · Statistics 2026-05-07 Dingyi Wang , Haiying Wang , Qingpei Hu

Inference over tails is performed by applying only the results of extreme value theory. Whilst such theory is well defined and flexible enough in the univariate case, multivariate inferential methods often require the imposition of…

Methodology · Statistics 2017-08-11 Manuele Leonelli , Dani Gamerman