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We consider the problem of variable selection in high-dimensional statistical models where the goal is to report a set of variables, out of many predictors $X_1, \dotsc, X_p$, that are relevant to a response of interest. For linear…

统计方法学 · 统计学 2019-03-20 Adel Javanmard , Hamid Javadi

Controlling false discovery rate (FDR) while leveraging the side information of multiple hypothesis testing is an emerging research topic in modern data science. Existing methods rely on the test-level covariates while ignoring possible…

机器学习 · 统计学 2021-01-26 Lin Qiu , Nils Murrugarra-Llerena , Vítor Silva , Lin Lin , Vernon M. Chinchilli

Competition-based approach to controlling the false discovery rate (FDR) recently rose to prominence when, generalizing it to sequential hypothesis testing, Barber and Cand\`es used it as part of their knockoff-filter. Control of the FDR…

统计方法学 · 统计学 2023-02-24 Arya Ebadi , Dong Luo , Jack Freestone , William Stafford Noble , Uri Keich

In many scientific settings there is a need for adaptive experimental design to guide the process of identifying regions of the search space that contain as many true positives as possible subject to a low rate of false discoveries (i.e.…

机器学习 · 统计学 2020-08-18 Lalit Jain , Kevin Jamieson

Monte Carlo tests are widely used for computing valid p-values without requiring known distributions of test statistics. When performing multiple Monte Carlo tests, it is essential to maintain control of the type I error. Some techniques…

统计方法学 · 统计学 2025-12-08 Christophe A. N. Biscio , Adrien Mazoyer , Martin V. Vejling

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

统计方法学 · 统计学 2025-10-02 Marco Molinari , Magne Thoresen

As the volume and complexity of data continue to expand across various scientific disciplines, the need for robust methods to account for the multiplicity of comparisons has grown widespread. A popular measure of type 1 error rate in…

统计方法学 · 统计学 2024-11-19 Jianliang He , Bowen Gang , Luella Fu

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

Much effort has been done to control the "false discovery rate" (FDR) when $m$ hypotheses are tested simultaneously. The FDR is the expectation of the "false discovery proportion" $\text{FDP}=V/R$ given by the ratio of the number of false…

统计理论 · 数学 2018-01-09 Marc Ditzhaus , Arnold Janssen

In hypothesis testing, a false discovery occurs when a hypothesis is incorrectly rejected due to noise in the sample. When adaptively testing multiple hypotheses, the probability of a false discovery increases as more tests are performed.…

机器学习 · 统计学 2020-10-22 Wanrong Zhang , Gautam Kamath , Rachel Cummings

In many applications, the process of identifying a specific feature of interest often involves testing multiple hypotheses for their joint statistical significance. Examples include mediation analysis which simultaneously examines the…

统计方法学 · 统计学 2023-05-30 Linsui Deng , Kejun He , Xianyang Zhang

Online testing procedures aim to control the extent of false discoveries over a sequence of hypothesis tests, allowing for the possibility that early-stage test results influence the choice of hypotheses to be tested in later stages.…

统计方法学 · 统计学 2021-10-18 Aaron Fisher

In Marandon (2023), the author introduces a procedure to detect true edges from a partially observed graph using a conformal prediction fashion: first computing scores from a trained function, deriving conformal p-values from them and…

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…

统计方法学 · 统计学 2025-05-05 Tian Bai , Yue Zhao , Xiang Yu , Archer Y. Yang

This paper investigates sequential change-point detection in reconfigurable sensor networks. In this problem, data from multiple sensors are observed sequentially. Each sensor can have a unique change point, and the data distribution…

统计方法学 · 统计学 2025-04-10 Seungwon Lee , Yunxiao Chen , Xiaoou Li

Several classical methods exist for controlling the false discovery exceedance (FDX) for large scale multiple testing problems, among them the Lehmann-Romano procedure ([LR] below) and the Guo-Romano procedure ([GR] below). While these two…

统计方法学 · 统计学 2019-12-11 Sebastian Döhler , Etienne Roquain

Controlling the False Discovery Rate (FDR) in a variable selection procedure is critical for reproducible discoveries, and it has been extensively studied in sparse linear models. However, it remains largely open in scenarios where the…

统计方法学 · 统计学 2023-11-16 Yang Cao , Xinwei Sun , Yuan Yao

Since Benjamini and Hochberg introduced false discovery rate (FDR) in their seminal paper, this has become a very popular approach to the multiple comparisons problem. An increasingly popular topic within functional data analysis is local…

统计方法学 · 统计学 2019-08-16 Niels Lundtorp Olsen , Alessia Pini , Simone Vantini

How to weigh the Benjamini-Hochberg procedure? In the context of multiple hypothesis testing, we propose a new step-wise procedure that controls the false discovery rate (FDR) and we prove it to be more powerful than any weighted…

统计理论 · 数学 2009-07-13 Etienne Roquain , Mark Van De Wiel

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…

统计方法学 · 统计学 2025-01-07 Yonghoon Lee , Zhimei Ren