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Related papers: On the Complexity of A/B Testing

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AB testing evaluates the difference between a control and a treatment in a statistically rigorous manner. Continuous monitoring allows statistical evaluation of an AB test as it proceeds. One goal of continuous monitoring is early stopping…

Methodology · Statistics 2025-10-16 Eric Bax , Alex Shtoff

Experimental testing is vital in the optimization of web applications, and as such A/B testing has been widely adopted as a methodology for determining optimal content for many web applications. While some testing platforms provide…

Methodology · Statistics 2017-10-04 Ian E. Fellows

Permutation tests are a popular choice for distinguishing distributions and testing independence, due to their exact, finite-sample control of false positives and their minimax optimality when paired with U-statistics. However, standard…

Statistics Theory · Mathematics 2025-03-26 Carles Domingo-Enrich , Raaz Dwivedi , Lester Mackey

A/B testing is widely used in modern technology companies for policy evaluation and product deployment, with the goal of comparing the outcomes under a newly-developed policy against a standard control. Various causal inference and…

Machine Learning · Statistics 2025-07-25 Jinjuan Wang , Qianglin Wen , Yu Zhang , Xiaodong Yan , Chengchun Shi

Online A/B testing is widely used in the internet industry to inform decisions on new feature roll-outs. For online marketplaces (such as advertising markets), standard approaches to A/B testing may lead to biased results when buyers…

Randomized experimentation (also known as A/B testing or bucket testing) is widely used in the internet industry to measure the metric impact obtained by different treatment variants. A/B tests identify the treatment variant showing the…

In the uniformity testing task, an algorithm is provided with samples from an unknown probability distribution over a (known) finite domain, and must decide whether it is the uniform distribution, or, alternatively, if its total variation…

Data Structures and Algorithms · Computer Science 2025-08-05 Guy Blanc , Clément L. Canonne , Erik Waingarten

A fundamental problem in adversarial machine learning is to quantify how much training data is needed in the presence of evasion attacks. In this paper we address this issue within the framework of PAC learning, focusing on the class of…

Machine Learning · Computer Science 2022-05-13 Pascale Gourdeau , Varun Kanade , Marta Kwiatkowska , James Worrell

We propose a frequentist testing procedure that maintains a defined coverage and is optimal in the sense that it gives maximal power to detect deviations from a null hypothesis when the alternative to the null hypothesis is sampled from a…

Applications · Statistics 2020-07-07 Christian Bartels , Johanna Mielke , Ekkehard Glimm

Estimating the parameter of a Bernoulli process arises in many applications, including photon-efficient active imaging where each illumination period is regarded as a single Bernoulli trial. Motivated by acquisition efficiency when multiple…

Applications · Statistics 2026-03-12 Safa C. Medin , John Murray-Bruce , David Castañón , Vivek K Goyal

Experimental design has emerged as a powerful approach for improving the sample efficiency of A/B testing, yet existing designs rely critically on correctly specified models. We study robust sequential experimental design under model…

Machine Learning · Statistics 2026-05-14 Qianglin Wen , Xiangkun Wu , Chengchun Shi , Ting Li , Niansheng Tang , Yingying Zhang , Hongtu Zhu

Detecting a minor average treatment effect is a major challenge in large-scale applications, where even minimal improvements can have a significant economic impact. Traditional methods, reliant on normal distribution-based or expanded…

Machine Learning · Statistics 2025-07-01 Yu Zhang , Shanshan Zhao , Bokui Wan , Jinjuan Wang , Xiaodong Yan

Marketers often use A/B testing as a tool to compare marketing treatments in a test stage and then deploy the better-performing treatment to the remainder of the consumer population. While these tests have traditionally been analyzed using…

Applications · Statistics 2020-12-03 Elea McDonnell Feit , Ron Berman

Approximate Bayesian Computation (ABC) is a popular computational method for likelihood-free Bayesian inference. The term "likelihood-free" refers to problems where the likelihood is intractable to compute or estimate directly, but where it…

Statistics Theory · Mathematics 2014-07-21 Stuart Barber , Jochen Voss , Mark Webster

In robust combinatorial optimization, we would like to find a solution that performs well under all realizations of an uncertainty set of possible parameter values. How we model this uncertainty set has a decisive influence on the…

Optimization and Control · Mathematics 2024-04-30 Marc Goerigk , Mohammad Khosravi

We study the problem of conditional two-sample testing, which aims to determine whether two populations have the same distribution after accounting for confounding factors. This problem commonly arises in various applications, such as…

Machine Learning · Statistics 2026-05-05 Seongchan Lee , Suman Cha , Ilmun Kim

In many fairness and distribution robustness problems, one has access to labeled data from multiple source distributions yet the test data may come from an arbitrary member or a mixture of them. We study the problem of constructing a…

Machine Learning · Computer Science 2026-01-07 Yuqi Yang , Ying Jin

Sample complexity of bias estimation is a lower bound on the runtime of any bias detection method. Many regulatory frameworks require the bias to be tested for all subgroups, whose number grows exponentially with the number of protected…

Machine Learning · Computer Science 2025-02-06 German Martinez Matilla , Jakub Marecek

Discovery problems often require deciding whether additional sampling is needed to detect all categories whose prevalence exceeds a prespecified threshold. We study this question under a Bernoulli product (incidence) model, where categories…

Methodology · Statistics 2026-01-29 Alessandro Colombi , Mario Beraha , Amichai Painsky , Stefano Favaro

We introduce probability estimation, a broadly applicable framework to certify randomness in a finite sequence of measurement results without assuming that these results are independent and identically distributed. Probability estimation…

Quantum Physics · Physics 2018-11-30 Yanbao Zhang , Emanuel Knill , Peter Bierhorst
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