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In many scientific applications, hypotheses are generated and tested continuously in a stream. We develop a framework for improving online multiple testing procedures with false discovery rate (FDR) control under arbitrary dependence. Our…

统计方法学 · 统计学 2026-03-27 Ziyu Xu , Lasse Fischer , Aaditya Ramdas

Valid online inference is an important problem in contemporary multiple testing research,to which various solutions have been proposed recently. It is well-known that these existing methods can suffer from a significant loss of power if the…

统计方法学 · 统计学 2023-01-16 Sebastian Döhler , Iqraa Meah , Etienne Roquain

Online multiple hypothesis testing has attracted a lot of attention in many applications, e.g., anomaly status detection and stock market price monitoring. The state-of-the-art generalized $\alpha$-investing (GAI) algorithms can control…

统计方法学 · 统计学 2025-08-05 Yifan Zhang , Zijian Wei , Haojie Ren , Changliang Zou

When testing multiple hypotheses, a suitable error rate should be controlled even in exploratory trials. Conventional methods to control the False Discovery Rate (FDR) assume that all p-values are available at the time point of test…

统计方法学 · 统计学 2021-12-21 Sonja Zehetmayer , Martin Posch , Franz Koenig

Multiple hypothesis testing, a situation when we wish to consider many hypotheses, is a core problem in statistical inference that arises in almost every scientific field. In this setting, controlling the false discovery rate (FDR), which…

统计理论 · 数学 2019-03-19 Shiyun Chen , Shiva Kasiviswanathan

A scientist tests a continuous stream of hypotheses over time in the course of her investigation -- she does not test a predetermined, fixed number of hypotheses. The scientist wishes to make as many discoveries as possible while ensuring…

统计方法学 · 统计学 2023-11-14 Ziyu Xu , Aaditya Ramdas

In the online multiple testing problem, p-values corresponding to different null hypotheses are observed one by one, and the decision of whether or not to reject the current hypothesis must be made immediately, after which the next p-value…

统计方法学 · 统计学 2017-10-03 Aaditya Ramdas , Fanny Yang , Martin J. Wainwright , Michael I. Jordan

Online testing procedures assume that hypotheses are observed in sequence, and allow the significance thresholds for upcoming tests to depend on the test statistics observed so far. Some of the most popular online methods include alpha…

统计方法学 · 统计学 2022-02-11 Aaron Fisher

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

统计方法学 · 统计学 2015-03-05 Adel Javanmard , Andrea Montanari

This paper discusses several p-value-free multiple hypothesis testing methods proposed in recent years and organizes them by introducing a unified framework termed competition test. Although existing competition tests are effective in…

统计方法学 · 统计学 2025-12-02 Mingzhou Deng , Yan Fu

Platform trials evaluate multiple experimental treatments under a single master protocol, where new treatment arms are added to the trial over time. Given the multiple treatment comparisons, there is the potential for inflation of the…

统计方法学 · 统计学 2022-02-09 David S. Robertson , James M. S. Wason , Franz König , Martin Posch , Thomas Jaki

Motivation: While the analysis of a single RNA sequencing (RNAseq) dataset has been well described in the literature, modern research workflows often have additional complexity in that related RNAseq experiments are performed sequentially…

定量方法 · 定量生物学 2022-06-07 Lathan Liou , Milena Hornburg , David S. Robertson

We consider the problem of asynchronous online testing, aimed at providing control of the false discovery rate (FDR) during a continual stream of data collection and testing, where each test may be a sequential test that can start and stop…

统计方法学 · 统计学 2020-08-25 Tijana Zrnic , Aaditya Ramdas , Michael I. Jordan

We present a novel necessary and sufficient principle for False Discovery Rate (FDR) control. This e-Partitioning Principle says that a procedure controls FDR if and only if it is a special case of a general e-Partitioning procedure. By…

统计理论 · 数学 2025-09-15 Jelle Goeman , Rianne de Heide , Aldo Solari

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…

统计理论 · 数学 2017-07-10 Adel Javanmard , Andrea Montanari

Offline reinforcement learning (RL) harnesses the power of massive datasets for resolving sequential decision problems. Most existing papers only discuss defending against out-of-distribution (OOD) actions while we investigate a broader…

机器学习 · 计算机科学 2023-11-02 Zhihong Deng , Zuyue Fu , Lingxiao Wang , Zhuoran Yang , Chenjia Bai , Tianyi Zhou , Zhaoran Wang , Jing Jiang

Large language models (LLMs) often solve challenging math exercises yet fail to apply the concept right when the problem requires genuine understanding. Popular Reinforcement Learning with Verifiable Rewards (RLVR) pipelines reinforce final…

人工智能 · 计算机科学 2026-05-08 Zijun Gao , Zhikun Xu , Xiao Ye , Ben Zhou

Multiple testing is an important research area with widespread scientific applications, including in biology and neuroscience. Among popularly adopted multiple testing procedures, many are based on p-values or Local false discovery rate…

统计方法学 · 统计学 2025-06-26 Shenghao Qin , Bowen Gang , Yin Xia

We present a novel necessary and sufficient principle for multiple testing methods controlling an expected loss. This principle asserts that every such multiple testing method is a special case of a general closed testing procedure based on…

统计方法学 · 统计学 2026-01-05 Ziyu Xu , Aldo Solari , Lasse Fischer , Rianne de Heide , Aaditya Ramdas , Jelle Goeman

We derive new algorithms for online multiple testing that provably control false discovery exceedance (FDX) while achieving orders of magnitude more power than previous methods. This statistical advance is enabled by the development of new…

统计方法学 · 统计学 2021-06-03 Ziyu Xu , Aaditya Ramdas
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