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We study sharp detection thresholds for degree corrections in Stochastic Block Models in the context of a goodness of fit problem, and explore the effect of the unknown community assignment (a high dimensional nuisance parameter) and the…

Statistics Theory · Mathematics 2019-07-16 Rajarshi Mukherjee , Subhabrata Sen

Variational inference is a general approach for approximating complex density functions, such as those arising in latent variable models, popular in machine learning. It has been applied to approximate the maximum likelihood estimator and…

Methodology · Statistics 2018-04-19 Yen-Chi Chen , Y. Samuel Wang , Elena A. Erosheva

Comparing alternatives in pairs is a very well known technique of ranking creation. The answer to how reliable and trustworthy ranking is depends on the inconsistency of the data from which it was created. There are many indices used for…

Discrete Mathematics · Computer Science 2020-01-28 Konrad Kułakowski , Dawid Talaga

Experiments with pre-trained models such as BERT are often based on a single checkpoint. While the conclusions drawn apply to the artifact tested in the experiment (i.e., the particular instance of the model), it is not always clear whether…

Null Hypothesis Significance Testing is the \textit{de facto} tool for assessing effectiveness differences between Information Retrieval systems. Researchers use statistical tests to check whether those differences will generalise to online…

Information Retrieval · Computer Science 2025-07-23 David Otero , Javier Parapar , Álvaro Barreiro

In neuroimaging, hundreds to hundreds of thousands of tests are performed across a set of brain regions or all locations in an image. Recent studies have shown that the most common family-wise error (FWE) controlling procedures in imaging,…

In large scale multiple testing problems, a two-class empirical Bayes approach can be used to control the false discovery rate (Fdr) for the entire array of hypotheses under study. A sample splitting step is incorporated to modify that…

Computation · Statistics 2019-12-13 Paramita Chakraborty , Chong Ma , John Grego , James Lynch

This paper is concerned with false discovery rate (FDR) control in large-scale multiple testing problems. We first propose a new data-driven testing procedure for controlling the FDR in large-scale t-tests for one-sample mean problem. The…

Statistics Theory · Mathematics 2020-03-02 Changliang Zou , Haojie Ren , Xu Guo , Runze Li

The development of a new diagnostic test ideally follows a sequence of stages which, amongst other aims, evaluate technical performance. This includes an analytical validity study, a diagnostic accuracy study and an interventional clinical…

Statistical analysis of multimodal imaging data is a challenging task, since the data involves high-dimensionality, strong spatial correlations and complex data structures. In this paper, we propose rigorous statistical testing procedures…

Methodology · Statistics 2023-03-08 Jinyuan Chang , Jing He , Jian Kang , Mingcong Wu

Biometric recognition is used across a variety of applications from cyber security to border security. Recent research has focused on ensuring biometric performance (false negatives and false positives) is fair across demographic groups.…

Methodology · Statistics 2022-08-24 Michael Schuckers , Sandip Purnapatra , Kaniz Fatima , Daqing Hou , Stephanie Schuckers

In pharmaceutical and toxicological research, historical control data are increasingly used to validate concurrent control groups, typically via the construction of historical control limits. While methods have been described for continuous…

Methodology · Statistics 2026-03-24 Sören Budig , Frank Schaarschmidt , Max Menssen

In complex clinical trials, multiple research objectives are often grouped into sets of objectives based on their inherent hierarchical relationships. Consequently, the hypotheses formulated to address these objectives are grouped into…

Methodology · Statistics 2016-11-11 Zhiying Qiu , Wenge Guo , Sanat Sarkar

A/B testing, a widely used form of Randomized Controlled Trial (RCT), is a fundamental tool in business data analysis and experimental design. However, despite its intent to maintain randomness, A/B testing often faces challenges that…

Methodology · Statistics 2024-08-13 Zihao Zheng , Carol Liu

In confirmatory clinical trials, it has been proposed to use a simple iterative graphical approach to construct and perform intersection hypotheses tests with a weighted Bonferroni-type procedure to control type I errors in the strong…

Methodology · Statistics 2022-08-03 Tianyu Zhan , Alan H Hartford , Jian Kang , Walter W Offen

The emergence of new data sources and statistical methods is driving an update in the traditional official statistics paradigm. As an example, the Italian National Institute of Statistics (ISTAT) is undergoing a significant modernisation of…

Methodology · Statistics 2025-02-17 Nina Deliu , Piero Demetrio Falorsi , Stefano Falorsi , Diego Chianella , Giorgio Alleva

Network meta-analysis of diagnostic test accuracy (NMA-DTA) is a relatively new field, involving combining evidence across studies to evaluate and compare the accuracy of different tests for a given condition. However, the methods proposed…

Methodology · Statistics 2026-04-23 Efthymia Derezea , Gabriel Rogers , Nicky J Welton , Hayley E Jones

The identification of similar patient pathways is a crucial task in healthcare analytics. A flexible tool to address this issue are parametric competing risks models, where transition intensities may be specified by a variety of parametric…

Methodology · Statistics 2024-01-10 Kathrin Möllenhoff , Nadine Binder , Holger Dette

Mixed-precision computing has become increasingly important in modern high-performance computing and machine learning applications. When implementing custom mixed-precision functions -- such as fused operators, optimized GPU kernels, or…

Numerical Analysis · Mathematics 2026-02-12 Peichen Xie

In the analysis of microarray data, and in some other contemporary statistical problems, it is not uncommon to apply hypothesis tests in a highly simultaneous way. The number, $\nu$ say, of tests used can be much larger than the sample…

Statistics Theory · Mathematics 2007-06-13 J. Fan , P. Hall , Q. Yao