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There is a significant literature on methods for incorporating knowledge into multiple testing procedures so as to improve their power and precision. Some common forms of prior knowledge include (a) beliefs about which hypotheses are null,…

Methodology · Statistics 2019-08-07 Aaditya Ramdas , Rina Foygel Barber , Martin J. Wainwright , Michael I. Jordan

We consider the problem of multiple hypothesis testing with generic side information: for each hypothesis $H_i$ we observe both a p-value $p_i$ and some predictor $x_i$ encoding contextual information about the hypothesis. For large-scale…

Methodology · Statistics 2018-07-26 Lihua Lei , William Fithian

Identifying multivariate dependencies in high-dimensional data is an important problem in large-scale inference. This problem has motivated recent advances in mining (partial) correlations, which focus on the challenging ultra-high…

Methodology · Statistics 2025-09-23 Emily Neo , Peter Radchenko , Bala Rajaratnam

Motivation: Combining the results of different experiments to exhibit complex patterns or to improve statistical power is a typical aim of data integration. The starting point of the statistical analysis often comes as sets of p-values…

Methodology · Statistics 2021-12-02 Tristan Mary-Huard , Sarmistha Das , Indranil Mukhopadhyay , Stéphane Robin

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

As predictive algorithms grow in popularity, using the same dataset to both train and test a new model has become routine across research, policy, and industry. Sample-splitting attains valid inference on model properties by using separate…

Econometrics · Economics 2025-11-27 Bruno Fava

The standard constraint-based paradigm for causal discovery with incomplete data -- impute first, test second -- is frequently miscalibrated: any consistent conditional independence (CI) test rejects a true null with probability approaching…

Methodology · Statistics 2026-05-07 Thomas S. Robinson , Ranjit Lall

Pseudo-relevance feedback (PRF) can enhance average retrieval effectiveness over a sufficiently large number of queries. However, PRF often introduces a drift into the original information need, thus hurting the retrieval effectiveness of…

Information Retrieval · Computer Science 2024-01-23 Suchana Datta , Debasis Ganguly , Sean MacAvaney , Derek Greene

The family-wise error rate (FWER) has been widely used in genome-wide association studies. With the increasing availability of functional genomics data, it is possible to increase the detection power by leveraging these genomic functional…

Methodology · Statistics 2020-12-25 Huijuan Zhou , Xianyang Zhang , Jun Chen

Deploying machine learning models in safety-critical domains poses a key challenge: ensuring reliable model performance on downstream user data without access to ground truth labels for direct validation. We propose the suitability filter,…

Machine Learning · Computer Science 2025-05-29 Angéline Pouget , Mohammad Yaghini , Stephan Rabanser , Nicolas Papernot

We consider variable selection in high-dimensional linear models where the number of covariates greatly exceeds the sample size. We introduce the new concept of partial faithfulness and use it to infer associations between the covariates…

Methodology · Statistics 2012-01-12 Peter Bühlmann , Markus Kalisch , Marloes H. Maathuis

We introduce a simple tool to control for false discoveries and identify individual signals in scenarios involving many tests, dependent test statistics, and potentially sparse signals. The tool applies the Cauchy combination test…

Econometrics · Economics 2023-06-02 Nabil Bouamara , Sébastien Laurent , Shuping Shi

The positive false discovery rate (pFDR) is a useful overall measure of errors for multiple hypothesis testing, especially when the underlying goal is to attain one or more discoveries. Control of pFDR critically depends on how much…

Statistics Theory · Mathematics 2011-11-09 Zhiyi Chi

We study a statistical framework for replicability based on a recently proposed quantitative measure of replication success, the sceptical $p$-value. A recalibration is proposed to obtain exact overall Type-I error control if the effect is…

Methodology · Statistics 2023-11-10 Charlotte Micheloud , Fadoua Balabdaoui , Leonhard Held

Conventional multiple testing procedures often assume hypotheses for different features are exchangeable. However, in many scientific applications, additional covariate information regarding the patterns of signals and nulls are available.…

Methodology · Statistics 2020-06-12 Xianyang Zhang , Jun Chen

Rerandomization enforces covariate balance across treatment groups in the design stage of experiments. Despite its intuitive appeal, its theoretical justification remains unsatisfying because its benefits of improving efficiency for…

Statistics Theory · Mathematics 2025-05-05 Xin Lu , Peng Ding

Combining individual p-values to aggregate multiple small effects has a long-standing interest in statistics, dating back to the classic Fisher's combination test. In modern large-scale data analysis, correlation and sparsity are common…

Methodology · Statistics 2018-11-30 Yaowu Liu , Jun Xie

Replication of experimental results has been a challenge faced by many scientific disciplines, including the field of machine learning. Recent work on the theory of machine learning has formalized replicability as the demand that an…

Machine Learning · Computer Science 2026-04-15 Eric Eaton , Marcel Hussing , Michael Kearns , Aaron Roth , Sikata Bela Sengupta , Jessica Sorrell

Conditional independence (CI) is central to causal inference, feature selection, and graphical modeling, yet it is untestable in many settings without additional assumptions. Existing CI tests often rely on restrictive structural…

Machine Learning · Computer Science 2025-12-23 Alek Frohlich , Vladimir Kostic , Karim Lounici , Daniel Perazzo , Massimiliano Pontil

Selective inference is a subfield of statistics that enables valid inference after selection of a data-dependent question. In this paper, we introduce selectively dominant p-values, a class of p-values that allow practitioners to easily…

Methodology · Statistics 2024-11-22 Anav Sood