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This paper studies the semi-supervised novelty detection problem where a set of "typical" measurements is available to the researcher. Motivated by recent advances in multiple testing and conformal inference, we propose AdaDetect, a…

统计方法学 · 统计学 2023-10-26 Ariane Marandon , Lihua Lei , David Mary , Etienne Roquain

In the context of multiple hypotheses testing, the proportion $\pi_0$ of true null hypotheses in the pool of hypotheses to test often plays a crucial role, although it is generally unknown a priori. A testing procedure using an implicit or…

统计理论 · 数学 2009-02-17 Gilles Blanchard , Etienne Roquain

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…

统计方法学 · 统计学 2025-08-21 Kazuharu Harada , Masataka Taguri

In the context of high-dimensional Gaussian linear regression for ordered variables, we study the variable selection procedure via the minimization of the penalized least-squares criterion. We focus on model selection where the penalty…

统计理论 · 数学 2024-07-01 Perrine Lacroix , Marie-Laure Martin

This paper is concerned with false discovery rate (FDR) control in large-scale multiple testing problems. We first propose a new data-driven testing procedure for controlling the FDR in large-scale t-tests for one-sample mean problem. The…

统计理论 · 数学 2020-03-02 Changliang Zou , Haojie Ren , Xu Guo , Runze Li

Efforts to develop more efficient multiple hypothesis testing procedures for false discovery rate (FDR) control have focused on incorporating an estimate of the proportion of true null hypotheses (such procedures are called adaptive) or…

统计方法学 · 统计学 2017-02-13 Joshua D. Habiger

There has been recent interest in extending the ideas of False Discovery Rates (FDR) to variable selection in regression settings. Traditionally the FDR in these settings has been defined in terms of the coefficients of the full regression…

统计方法学 · 统计学 2013-02-12 Max Grazier G'Sell , Trevor Hastie , Robert Tibshirani

This paper explores the intrinsic connections between the Bayesian false discovery rate (FDR) control procedures and their counterpart of frequentist procedures. We attempt to offer a unified view of FDR control within and beyond the…

统计方法学 · 统计学 2018-03-15 Xiaoquan Wen

Multiple hypothesis testing is a fundamental problem in high dimensional inference, with wide applications in many scientific fields. In genome-wide association studies, tens of thousands of tests are performed simultaneously to find if any…

统计方法学 · 统计学 2011-11-16 Jianqing Fan , Xu Han , Weijie Gu

Two major research tasks lie at the heart of high dimensional data analysis: accurate parameter estimation and correct support recovery. The existing literature mostly aims for either the best parameter estimation or the best model…

统计理论 · 数学 2022-06-24 Qifan Song , Guang Cheng

False discovery rate (FDR) is a common way to control the number of false discoveries in multiple testing. There are a number of approaches available for controlling FDR. However, for functional test statistics, which are discretized into…

统计方法学 · 统计学 2024-12-03 Tomáš Mrkvička , Mari Myllymäki

The mitigation of false positives is an important issue when conducting multiple hypothesis testing. The most popular paradigm for false positives mitigation in high-dimensional applications is via the control of the false discovery rate…

统计方法学 · 统计学 2018-07-17 Hien D. Nguyen , Yohan Yee , Geoffrey J. McLachlan , Jason P. Lerch

Many important tasks of large-scale recommender systems can be naturally cast as testing multiple linear forms for noisy matrix completion. These problems, however, present unique challenges because of the subtle bias-and-variance tradeoff…

统计方法学 · 统计学 2025-03-12 Wanteng Ma , Lilun Du , Dong Xia , Ming Yuan

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…

统计方法学 · 统计学 2025-05-08 Marco Molinari , Magne Thoresen

We study the detection of a sparse change in a high-dimensional mean vector as a minimax testing problem. Our first main contribution is to derive the exact minimax testing rate across all parameter regimes for $n$ independent, $p$-variate…

统计理论 · 数学 2020-11-18 Haoyang Liu , Chao Gao , Richard J. Samworth

In the high dimensional regression analysis when the number of predictors is much larger than the sample size, an important question is to select the important variable which are relevant to the response variable of interest. Variable…

统计方法学 · 统计学 2023-01-09 Pengsheng Ji , Zhigen Zhao

Addressing the simultaneous identification of contributory variables while controlling the false discovery rate (FDR) in high-dimensional data is a crucial statistical challenge. In this paper, we propose a novel model-free variable…

统计方法学 · 统计学 2024-04-23 Yixin Han , Xu Guo , Changliang Zou

Out of the participants in a randomized experiment with anticipated heterogeneous treatment effects, is it possible to identify which subjects have a positive treatment effect? While subgroup analysis has received attention, claims about…

统计方法学 · 统计学 2024-05-14 Boyan Duan , Larry Wasserman , Aaditya Ramdas

The false discovery rate (FDR)---the expected fraction of spurious discoveries among all the discoveries---provides a popular statistical assessment of the reproducibility of scientific studies in various disciplines. In this work, we…

机器学习 · 统计学 2015-11-10 Weijie Su , Junyang Qian , Linxi Liu

Stability and reproducibility are essential considerations in various applications of statistical methods. False Discovery Rate (FDR) control methods are able to control false signals in scientific discoveries. However, many FDR control…

统计方法学 · 统计学 2025-12-22 Jiajun Sun , Zhanrui Cai , Wei Zhong