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Particularly in genomics, but also in other fields, it has become commonplace to undertake highly multiple Student's $t$-tests based on relatively small sample sizes. The literature on this topic is continually expanding, but the main…

Statistics Theory · Mathematics 2010-10-11 Peter Hall , Qiying Wang

Deep learning models are considered to be state-of-the-art in many offline machine learning tasks. However, many of the techniques developed are not suitable for online learning tasks. The problem of using deep learning models with…

Machine Learning · Computer Science 2019-05-28 Guy Uziel

Modern biomedical research frequently involves testing multiple related hypotheses, while maintaining control over a suitable error rate. In many applications the false discovery rate (FDR), which is the expected proportion of false…

Methodology · Statistics 2018-09-27 David S. Robertson , James M. S. Wason

In various areas of computer science, we deal with a set of constraints to be satisfied. If the constraints cannot be satisfied simultaneously, it is desirable to identify the core problems among them. Such cores are called minimal…

Logic in Computer Science · Computer Science 2018-05-09 Jaroslav Bendik , Ivana Cerna , Nikola Benes

Multiple hypothesis testing is widely used to evaluate scientific studies involving statistical tests. However, for many of these tests, p-values are not available and are thus often approximated using Monte Carlo tests such as permutation…

Applications · Statistics 2018-10-17 Axel Gandy , Georg Hahn

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…

Statistics Theory · Mathematics 2013-07-30 Axel Gandy

We study the problem of multiple hypothesis testing for multidimensional data when inter-correlations are present. The problem of multiple comparisons is common in many applications. When the data is multivariate and correlated, existing…

Statistics Theory · Mathematics 2015-06-02 Mahdis Azadbakhsh , Xin Gao , Hanna Jankowski

Online experiments such as Randomised Controlled Trials (RCTs) or A/B-tests are the bread and butter of modern platforms on the web. They are conducted continuously to allow platforms to estimate the causal effect of replacing system…

Machine Learning · Computer Science 2023-04-24 Olivier Jeunen

Online conformal prediction has demonstrated its capability to construct a prediction set for each incoming data point that covers the true label with a predetermined probability. To cope with potential distribution shift, multi-model…

Machine Learning · Computer Science 2025-10-14 Erfan Hajihashemi , Yanning Shen

Hypothesis tests under order restrictions arise in a wide range of scientific applications. By exploiting inequality constraints, such tests can achieve substantial gains in power and interpretability. However, these gains come at a cost:…

Methodology · Statistics 2026-02-18 Ori Davidov

We develop the theory of hypothesis testing based on the e-value, a notion of evidence that, unlike the p-value, allows for effortlessly combining results from several studies in the common scenario where the decision to perform a new study…

Statistics Theory · Mathematics 2023-03-13 Peter Grünwald , Rianne de Heide , Wouter Koolen

The detection of online cyberbullying has seen an increase in societal importance, popularity in research, and available open data. Nevertheless, while computational power and affordability of resources continue to increase, the access…

Computation and Language · Computer Science 2021-08-16 Chris Emmery , Ben Verhoeven , Guy De Pauw , Gilles Jacobs , Cynthia Van Hee , Els Lefever , Bart Desmet , Véronique Hoste , Walter Daelemans

To provide rigorous uncertainty quantification for online learning models, we develop a framework for constructing uncertainty sets that provably control risk -- such as coverage of confidence intervals, false negative rate, or F1 score --…

Machine Learning · Computer Science 2023-01-30 Shai Feldman , Liran Ringel , Stephen Bates , Yaniv Romano

The problem of joint sequential detection and isolation is considered in the context of multiple, not necessarily independent, data streams. A multiple testing framework is proposed, where each hypothesis corresponds to a different subset…

Statistics Theory · Mathematics 2022-07-04 Anamitra Chaudhuri , Georgios Fellouris

We consider the problem of inference on the signs of $n>1$ parameters. We aim to provide $1-\alpha$ post-hoc confidence bounds on the number of positive and negative (or non-positive) parameters. The guarantee is simultaneous, for all…

Methodology · Statistics 2024-03-05 Ruth Heller , Aldo Solari

Consider a big data multiple testing task, where, due to storage and computational bottlenecks, one is given a very large collection of p-values by splitting into manageable chunks and distributing over thousands of computer nodes. This…

Methodology · Statistics 2018-05-08 Subhadeep Mukhopadhyay

This article proposes an alternative to the Hosmer-Lemeshow (HL) test for evaluating the calibration of probability forecasts for binary events. The approach is based on e-values, a new tool for hypothesis testing. An e-value is a random…

Methodology · Statistics 2023-02-28 Alexander Henzi , Marius Puke , Timo Dimitriadis , Johanna Ziegel

With the growing needs of online A/B testing to support the innovation in industry, the opportunity cost of running an experiment becomes non-negligible. Therefore, there is an increasing demand for an efficient continuous monitoring…

Machine Learning · Computer Science 2023-04-04 Runzhe Wan , Yu Liu , James McQueen , Doug Hains , Rui Song

We consider the problem of sensor selection for time-optimal detection of a hypothesis. We consider a group of sensors transmitting their observations to a fusion center. The fusion center considers the output of only one randomly chosen…

Information Theory · Computer Science 2009-09-10 Vaibhav Srivastava , Kurt Plarre , Francesco Bullo

We study online multiple testing with feedback, where decisions are made sequentially and the true state of the hypothesis is revealed after the decision has been made, either instantly or with a delay. We propose GAIF, a feedback-enhanced…

Methodology · Statistics 2026-04-14 Lin Lu , Yuyang Huo , Haojie Ren , Zhaojun Wang , Changliang Zou