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Confidence intervals are central to statistical inference as a tool to evaluate the type I error risk at a given significance level. We devise a method to construct confidence intervals using a single run of a permutation test. This…

Methodology · Statistics 2022-06-22 Niels Lundtorp Olsen

In this study, we propose a two-stage procedure for hypothesis testing, where the first stage is conventional hypothesis testing and the second is an equivalence testing procedure using an introduced Empirical Equivalence Bound. In 2016,…

Methodology · Statistics 2020-01-01 Yi Zhao , Brian S. Caffo , Joshua B. Ewen

A Bayesian view of data interpretation suggests that a visualization user should update their existing beliefs about a parameter's value in accordance with the amount of information about the parameter value captured by the new…

Human-Computer Interaction · Computer Science 2020-08-11 Yea-Seul Kim , Paula Kayongo , Madeleine Grunde-McLaughlin , Jessica Hullman

Clustering is part of unsupervised analysis methods that consist in grouping samples into homogeneous and separate subgroups of observations also called clusters. To interpret the clusters, statistical hypothesis testing is often used to…

Methodology · Statistics 2022-10-25 Benjamin Hivert , Denis Agniel , Rodolphe Thiébaut , Boris P Hejblum

We introduce a testing-by-betting framework that leverages predictions on unlabeled data to enhance the power of sequential hypothesis testing. Given limited samples from the joint distribution of $(X,Y)$, and additional unlabeled samples…

Machine Learning · Computer Science 2026-05-28 Yaniv Tenzer , Elad Tolochinsky , Yaniv Romano

We consider the hypothesis testing problem of detecting a shift between the means of two multivariate normal distributions in the high-dimensional setting, allowing for the data dimension p to exceed the sample size n. Specifically, we…

Statistics Theory · Mathematics 2015-09-15 Miles E. Lopes , Laurent J. Jacob , Martin J. Wainwright

We propose an approach for testing the hypothesis that two realizations of the random variables in the form of histograms are taken from the same statistical population (i.e. that two histograms are drawn from the same distribution). The…

Data Analysis, Statistics and Probability · Physics 2013-05-22 Sergey Bityukov , Nikolai Krasnikov , Alexander Nikitenko , Vera Smirnova

In recent years, visual forgery has reached a level of sophistication that humans cannot identify fraud, which poses a significant threat to information security. A wide range of malicious applications have emerged, such as fake news,…

Computer Vision and Pattern Recognition · Computer Science 2022-04-11 Minh Tam Pham , Thanh Trung Huynh , Van Vinh Tong , Thanh Tam Nguyen , Thanh Thi Nguyen , Hongzhi Yin , Quoc Viet Hung Nguyen

Learning visual semantic similarity is a critical challenge in bridging the gap between images and texts. However, there exist inherent variations between vision and language data, such as information density, i.e., images can contain…

Computer Vision and Pattern Recognition · Computer Science 2025-03-11 Yang Liu , Mengyuan Liu , Shudong Huang , Jiancheng Lv

The ability of to explain neural network decisions goes hand in hand with their safe deployment. Several methods have been proposed to highlight features important for a given network decision. However, there is no consensus on how to…

Computer Vision and Pattern Recognition · Computer Science 2020-03-23 Agnieszka Grabska-Barwińska

We develop new econometric methods for the comparison of nonparametric time trends. In many applications, practitioners are interested in whether the observed time series all have the same time trend. Moreover, they would often like to know…

Econometrics · Economics 2022-09-23 Marina Khismatullina , Michael Vogt

Most existing methods for testing equality of means of functional data from multiple populations rely on assumptions of equal covariance and/or Gaussianity. In this work we provide a new testing method based on a statistic that is…

Methodology · Statistics 2025-09-30 Chuang Xu , Andrew T. A. Wood , Yanrong Yang

We investigate the ability of individuals to visually validate statistical models in terms of their fit to the data. While visual model estimation has been studied extensively, visual model validation remains under-investigated. It is…

Computer Vision and Pattern Recognition · Computer Science 2024-01-03 Daniel Braun , Ashley Suh , Remco Chang , Michael Gleicher , Tatiana von Landesberger

We introduce and study two new inferential challenges associated with the sequential detection of change in a high-dimensional mean vector. First, we seek a confidence interval for the changepoint, and second, we estimate the set of indices…

Methodology · Statistics 2023-03-03 Yudong Chen , Tengyao Wang , Richard J. Samworth

This work develops central limit theorems for cross-validation and consistent estimators of its asymptotic variance under weak stability conditions on the learning algorithm. Together, these results provide practical, asymptotically-exact…

Machine Learning · Statistics 2020-11-03 Pierre Bayle , Alexandre Bayle , Lucas Janson , Lester Mackey

We consider the problem of testing positively dependent multiple hypotheses assuming that a prior information about the dependence structure is available. We propose two-step multiple comparisons procedures that exploit the prior…

Deep neural two-sample tests have recently shown strong power for detecting distributional differences between groups, yet their black-box nature limits interpretability and practical adoption in biomedical analysis. Moreover, most existing…

Computer Vision and Pattern Recognition · Computer Science 2026-02-06 Masoumeh Javanbakhat , Piotr Komorowski , Dilyara Bareeva , Wei-Chang Lai , Wojciech Samek , Christoph Lippert

This paper develops a Bayesian approach for assessing equivalence and non-inferiority hypotheses in two-arm trials using relative belief ratios. A relative belief ratio is a measure of statistical evidence and can indicate evidence either…

Applications · Statistics 2014-01-20 Saman Muthukumarana , Michael Evans

We consider a quantum system that is being continuously monitored, giving rise to a measurement signal. From such a stream of data, information needs to be inferred about the underlying system's dynamics. Here we focus on hypothesis testing…

Quantum Physics · Physics 2024-03-27 Giulio Gasbarri , Matias Bilkis , Elisabet Roda-Salichs , John Calsamiglia

Symmetries are key properties of physical models and of experimental designs, but any proposed symmetry may or may not be realized in nature. In this paper, we introduce a practical and general method to test such suspected symmetries in…

High Energy Physics - Phenomenology · Physics 2022-08-25 Rupert Tombs , Christopher G. Lester