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Many approaches for multiple testing begin with the assumption that all tests in a given study should be combined into a global false-discovery-rate analysis. But this may be inappropriate for many of today's large-scale screening problems,…

统计方法学 · 统计学 2014-06-10 James G. Scott , Ryan C. Kelly , Matthew A. Smith , Pengcheng Zhou , Robert E. Kass

We study the normal mean inference problem, which involves simultaneous testing of the means of many normal distributions. This problem has been extensively studied within the empirical Bayes (EB) framework. However, the reliability of most…

统计方法学 · 统计学 2026-04-03 Kwangok Seo , Johan Lim

Conformal prediction is a distribution-free technique for establishing valid prediction intervals. Although conventionally people conduct conformal prediction in the output space, this is not the only possibility. In this paper, we propose…

机器学习 · 计算机科学 2023-04-11 Jiaye Teng , Chuan Wen , Dinghuai Zhang , Yoshua Bengio , Yang Gao , Yang Yuan

Deep neural networks often predict samples with high confidence even when they come from unseen classes and should instead be flagged for expert evaluation. Current novelty detection algorithms cannot reliably identify such near OOD points…

机器学习 · 计算机科学 2022-03-14 Alexandru Ţifrea , Eric Stavarache , Fanny Yang

We develop a technique to improve the power of any e-value by a simple randomization involving one independent uniform random variable. Using this framework, we show that two procedures for false discovery rate (FDR) control -- the…

统计方法学 · 统计学 2025-12-15 Ziyu Xu , Aaditya Ramdas

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…

机器学习 · 计算机科学 2026-04-20 Meiyi Zhu , Osvaldo Simeone

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 2010-12-21 Xu Han , Weijie Gu , Jianqing Fan

This paper presents a systematic framework for controlling false discovery rate in learning time-varying correlation networks from high-dimensional, non-linear, non-Gaussian and non-stationary time series with an increasing number of…

统计方法学 · 统计学 2025-12-16 Bufan Li , Lujia Bai , Weichi Wu

Conformal Prediction provides distribution-free prediction intervals with guaranteed coverage, but its reliance on a single global calibration threshold obscures the sources of uncertainty at the instance level. In particular, it conflates…

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

Selecting relevant features associated with a given response variable is an important issue in many scientific fields. Quantifying quality and uncertainty of a selection result via false discovery rate (FDR) control has been of recent…

统计方法学 · 统计学 2020-12-17 Chenguang Dai , Buyu Lin , Xin Xing , Jun S. Liu

Current approaches to novelty or anomaly detection are based on deep neural networks. Despite their effectiveness, neural networks are also vulnerable to imperceptible deformations of the input data. This is a serious issue in critical…

计算机视觉与模式识别 · 计算机科学 2023-06-07 Ranya Almohsen , Shivang Patel , Donald A. Adjeroh , Gianfranco Doretto

Anomalies (unusual patterns) in time-series data give essential, and often actionable information in critical situations. Examples can be found in such fields as healthcare, intrusion detection, finance, security and flight safety. In this…

应用统计 · 统计学 2016-08-17 Evgeny Burnaev , Vladislav Ishimtsev

In this work we provide a review of basic ideas and novel developments about Conformal Prediction -- an innovative distribution-free, non-parametric forecasting method, based on minimal assumptions -- that is able to yield in a very…

机器学习 · 计算机科学 2024-02-01 Matteo Fontana , Gianluca Zeni , Simone Vantini

Conformal inference is a method that provides prediction sets for machine learning models, operating independently of the underlying distributional assumptions and relying solely on the exchangeability of training and test data. Despite its…

统计方法学 · 统计学 2025-10-01 Daniela Corbetta , Livio Finos , Ludwig Geistlinger , Davide Risso

Deep learning models are being adopted and applied on various critical decision-making tasks, yet they are trained to provide point predictions without providing degrees of confidence. The trustworthiness of deep learning models can be…

机器学习 · 计算机科学 2024-10-28 Daniel Nolte , Souparno Ghosh , Ranadip Pal

Multiple hypothesis testing often involves composite nulls, i.e., nulls that are associated with two or more distributions. In many cases, it is reasonable to assume that there is a prior distribution on the distributions despite it is…

统计理论 · 数学 2008-07-31 Zhiyi Chi

We propose a conformal prediction method for constructing tight simultaneous prediction intervals for multiple, potentially related, numerical outputs given a single input. This method can be combined with any multi-target regression model…

统计方法学 · 统计学 2025-12-18 Yunjie Fan , Matteo Sesia

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.…

统计方法学 · 统计学 2020-06-12 Xianyang Zhang , Jun Chen

In large scale multiple testing, the use of an empirical null distribution rather than the theoretical null distribution can be critical for correct inference. This paper proposes a ``mode matching'' method for fitting an empirical null…

应用统计 · 统计学 2009-01-27 Armin Schwartzman