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Selective classification enhances the reliability of predictive models by allowing them to abstain from making uncertain predictions. In this work, we revisit the design of optimal selection functions through the lens of the Neyman--Pearson…

Machine Learning · Computer Science 2026-03-04 Alvin Heng , Harold Soh

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

Conformal inference provides a general distribution-free method to rigorously calibrate the output of any machine learning algorithm for novelty detection. While this approach has many strengths, it has the limitation of being randomized,…

Machine Learning · Computer Science 2023-10-25 Meshi Bashari , Amir Epstein , Yaniv Romano , Matteo Sesia

Weighting the p-values is a well-established strategy that improves the power of multiple testing procedures while dealing with heterogeneous data. However, how to achieve this task in an optimal way is rarely considered in the literature.…

Statistics Theory · Mathematics 2019-03-22 Guillermo Durand

The composite binary hypothesis testing problem within the Neyman-Pearson framework is considered. The goal is to maximize the expectation of a nonlinear function of the detection probability, integrated with respect to a given probability…

Statistics Theory · Mathematics 2025-05-26 Yanglei Song , Berkan Dulek , Sinan Gezici

This paper introduces novel weighted conformal p-values and methods for model-free selective inference. The problem is as follows: given test units with covariates $X$ and missing responses $Y$, how do we select units for which the…

Methodology · Statistics 2023-09-27 Ying Jin , Emmanuel J. Candès

Conformal selection (CS) uses calibration data to identify test inputs whose unobserved outcomes are likely to satisfy a pre-specified minimal quality requirement, while controlling the false discovery rate (FDR). Existing methods fix the…

Machine Learning · Computer Science 2026-04-20 Meiyi Zhu , Osvaldo Simeone

Multiple testing problems are a staple of modern statistical analysis. The fundamental objective of multiple testing procedures is to reject as many false null hypotheses as possible (that is, maximize some notion of power), subject to…

Methodology · Statistics 2020-11-30 Saharon Rosset , Ruth Heller , Amichai Painsky , Ehud Aharoni

Model selection/optimization in conformal inference is challenging, since it may break the exchangeability between labeled and unlabeled data. We study this problem in the context of conformal selection, which uses conformal p-values to…

Methodology · Statistics 2024-11-28 Tian Bai , Ying Jin

This paper presents a powerful methodology for flexible full-data nonparametric novelty detection that offers distribution-free false discovery rate (FDR) control guarantees. Building on the full conformal inference framework and the…

Methodology · Statistics 2026-04-21 Junu Lee , Ilia Popov , Zhimei Ren

Distribution-free predictive inference beyond the construction of prediction sets has gained a lot of interest in recent applications. One such application is the selection task, where the objective is to design a reliable selection rule to…

Methodology · Statistics 2025-01-07 Yonghoon Lee , Zhimei Ren

Decision making or scientific discovery pipelines such as job hiring and drug discovery often involve multiple stages: before any resource-intensive step, there is often an initial screening that uses predictions from a machine learning…

Methodology · Statistics 2023-05-30 Ying Jin , Emmanuel J. Candès

Most existing binary classification methods target on the optimization of the overall classification risk and may fail to serve some real-world applications such as cancer diagnosis, where users are more concerned with the risk of…

Machine Learning · Statistics 2015-08-18 Anqi Zhao , Yang Feng , Lie Wang , Xin Tong

While data-driven confounder selection requires careful consideration, it is frequently employed in observational studies. Widely recognized criteria for confounder selection include the minimal-set approach, which involves selecting…

Methodology · Statistics 2025-08-21 Kazuharu Harada , Masataka Taguri

We propose a new method for predicting multiple missing links in partially observed networks while controlling the false discovery rate (FDR), a largely unresolved challenge in network analysis. The main difficulty lies in handling complex…

Methodology · Statistics 2025-07-10 Wenqin Du , Wanteng Ma , Dong Xia , Yuan Zhang , Wen Zhou

Motivated by problems of anomaly detection, this paper implements the Neyman-Pearson paradigm to deal with asymmetric errors in binary classification with a convex loss. Given a finite collection of classifiers, we combine them and obtain a…

Machine Learning · Statistics 2011-03-01 Philippe Rigollet , Xin Tong

Selecting high-quality candidates from large datasets is critical in applications such as drug discovery, precision medicine, and alignment of large language models (LLMs). While Conformal Selection (CS) provides rigorous uncertainty…

Methodology · Statistics 2025-05-05 Tian Bai , Yue Zhao , Xiang Yu , Archer Y. Yang

We propose a new empirical Bayes method for covariate-assisted multiple testing with false discovery rate (FDR) control, where we model the local false discovery rate for each hypothesis as a function of both its covariates and p-value. Our…

Methodology · Statistics 2021-07-01 Patrick Chao , William Fithian

Permutation-based partial-correlation tests guarantee finite-sample Type I error control under any fixed design and exchangeable noise, yet their power can collapse when the permutation-augmented design aligns too closely with the covariate…

Methodology · Statistics 2025-06-04 Tianyi Wang , Guanghui Wang , Zhaojun Wang , Changliang Zou

Variable selection methods have been developed in linear regression to provide sparse solutions. Recent studies have focused on further interpretations on the sparse solutions in terms of false positive control. In this paper, we consider…

Statistics Theory · Mathematics 2019-11-25 X. Jessie Jeng , Xiongzhi Chen
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