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For some kernel matrices, low-rank approximations can be quickly obtained via analytic techniques. One important class of analytic methods that has received attention in recent years is based on the use of proxy points. Accuracy analysis…

Numerical Analysis · Mathematics 2026-05-26 Mikhail Lepilov , Jianlin Xia

Motivated by modern applications such as computerized adaptive testing, sequential rank aggregation, and heterogeneous data source selection, we study the problem of active sequential estimation, which involves adaptively selecting…

Statistics Theory · Mathematics 2024-02-14 Xiaoou Li , Hongru Zhao

In a context of multiple hypothesis testing, we provide several new exact calculations related to the false discovery proportion (FDP) of step-up and step-down procedures. For step-up procedures, we show that the number of erroneous…

Statistics Theory · Mathematics 2011-06-29 Etienne Roquain , Fanny Villers

In this work we study the problem of measuring the fairness of a machine learning model under noisy information. Focusing on group fairness metrics, we investigate the particular but common situation when the evaluation requires controlling…

Machine Learning · Computer Science 2021-05-24 Flavien Prost , Pranjal Awasthi , Nick Blumm , Aditee Kumthekar , Trevor Potter , Li Wei , Xuezhi Wang , Ed H. Chi , Jilin Chen , Alex Beutel

Multiple hypothesis testing is a core problem in statistical inference and arises in almost every scientific field. Given a set of null hypotheses $\mathcal{H}(n) = (H_1,\dotsc, H_n)$, Benjamini and Hochberg introduced the false discovery…

Statistics Theory · Mathematics 2017-07-10 Adel Javanmard , Andrea Montanari

Modern statisticians are often presented with hundreds or thousands of hypothesis testing problems to evaluate at the same time, generated from new scientific technologies such as microarrays, medical and satellite imaging devices, or flow…

Applications · Statistics 2008-12-18 Bradley Efron

In this paper, we investigate the adequacy testing problem of high-dimensional factor-augmented regression model. Existing test procedures perform not well under dense alternatives. To address this critical issue, we introduce a novel…

Methodology · Statistics 2025-04-04 Yanmei Shi , Leheng Cai , Xu Guo , Shurong Zheng

Refining one's hypotheses in the light of data is a common scientific practice; however, the dependency on the data introduces selection bias and can lead to specious statistical analysis. An approach for addressing this is via conditioning…

Machine Learning · Computer Science 2020-03-03 Jen Ning Lim , Makoto Yamada , Wittawat Jitkrittum , Yoshikazu Terada , Shigeyuki Matsui , Hidetoshi Shimodaira

We consider the problem of estimating a causal effect in a multi-domain setting. The causal effect of interest is confounded by an unobserved confounder and can change between the different domains. We assume that we have access to a proxy…

Machine Learning · Computer Science 2025-12-30 Manuel Iglesias-Alonso , Felix Schur , Julius von Kügelgen , Jonas Peters

Complex phenomena in engineering and the sciences are often modeled with computationally intensive feed-forward simulations for which a tractable analytic likelihood does not exist. In these cases, it is sometimes necessary to estimate an…

Methodology · Statistics 2020-06-18 Niccolò Dalmasso , Ann B. Lee , Rafael Izbicki , Taylor Pospisil , Ilmun Kim , Chieh-An Lin

P-hacking is prevalent in reality but absent from classical hypothesis testing theory. As a consequence, significant results are much more common than they are supposed to be when the null hypothesis is in fact true. In this paper, we build…

Econometrics · Economics 2024-05-09 Adam McCloskey , Pascal Michaillat

In modern multiple hypothesis testing, the availability of covariate information alongside the primary test statistics has motivated the development of more powerful and adaptive inference methods. However, most existing approaches rely on…

Methodology · Statistics 2025-11-20 Taehyoung Kim , Seohwa Hwang , Junyong Park

Discovering causal relations is fundamental to reasoning and intelligence. In particular, observational causal discovery algorithms estimate the cause-effect relation between two random entities $X$ and $Y$, given $n$ samples from $P(X,Y)$.…

Machine Learning · Statistics 2017-02-24 Mateo Rojas-Carulla , Marco Baroni , David Lopez-Paz

This is a chapter of the forthcoming Handbook of Multiple Testing. We consider a variety of model selection strategies in a high-dimensional setting, where the number of potential predictors p is large compared to the number of available…

Methodology · Statistics 2020-11-25 Malgorzata Bogdan , Florian Frommlet

This paper offers a framework for the study of strategic behavior in proxy voting, where non-active voters delegate their votes to active voters. We further study how proxy voting affects the strategic behavior of non-active voters and…

Computer Science and Game Theory · Computer Science 2023-05-19 Gili Bielous , Reshef Meir

Experimentation platforms in industry must often deal with customer trust issues. Platforms must prove the validity of their claims as well as catch issues that arise. As a central quantity estimated by experimentation platforms, the…

Methodology · Statistics 2025-11-21 Kedar Karhadkar , Jack Klys , Daniel Ting , Artem Vorozhtsov , Houssam Nassif

Efficient learning of user preferences is crucial for many modern decision making systems but typically requires costly labeled data. Active learning reduces this cost, yet standard methods are computationally expensive due to pool-based…

Machine Learning · Computer Science 2026-05-26 Namrata Nadagouda , Nauman Ahad , Maegan Tucker , Mark A. Davenport

We propose an alternative framework to existing setups for controlling false alarms when multiple A/B tests are run over time. This setup arises in many practical applications, e.g. when pharmaceutical companies test new treatment options…

Machine Learning · Statistics 2017-11-21 Fanny Yang , Aaditya Ramdas , Kevin Jamieson , Martin J. Wainwright

We are concerned with testing replicability hypotheses for many endpoints simultaneously. This constitutes a multiple test problem with composite null hypotheses. Traditional $p$-values, which are computed under least favourable parameter…

Methodology · Statistics 2020-02-26 Anh-Tuan Hoang , Thorsten Dickhaus

Simultaneously performing variable selection and inference in high-dimensional regression models is an open challenge in statistics and machine learning. The increasing availability of vast amounts of variables requires the adoption of…

Methodology · Statistics 2025-05-08 Marco Molinari , Magne Thoresen