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Uniformity testing is arguably one of the most fundamental distribution testing problems. Given sample access to an unknown distribution $\mathbf{p}$ on $[n]$, one must decide if $\mathbf{p}$ is uniform or $\varepsilon$-far from uniform (in…

机器学习 · 统计学 2024-10-16 Sihan Liu , Christopher Ye

Receiver operating characteristic (ROC) curves are widely used as a measure of accuracy of diagnostic tests and can be summarized using the area under the ROC curve (AUC). Often, it is useful to construct a confidence intervals for the AUC,…

应用统计 · 统计学 2018-04-18 Hunyong Cho , Gregory J. Matthews , Ofer Harel

When testing multiple hypothesis in a survey --e.g. many different source locations, template waveforms, and so on-- the final result consists in a set of confidence intervals, each one at a desired confidence level. But the probability…

广义相对论与量子宇宙学 · 物理学 2009-11-11 L. Baggio , G. A. Prodi

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

In the active learning paradigm, using an oracle to label data has always been a complex and expensive task, and with the emersion of large unlabeled data pools, it would be highly beneficial If we could achieve better results without…

机器学习 · 计算机科学 2025-08-12 Hadi Khorsand , Vahid Pourahmadi

In modern scientific experiments, we frequently encounter data that have large dimensions, and in some experiments, such high dimensional data arrive sequentially rather than full data being available all at a time. We develop multiple…

统计方法学 · 统计学 2023-06-09 Rahul Roy , Shyamal K. De , Subir Kumar Bhandari

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 address the multiple testing problem under the assumption that the true/false hypotheses are driven by a Hidden Markov Model (HMM), which is recognized as a fundamental setting to model multiple testing under dependence since the seminal…

统计方法学 · 统计学 2021-05-04 Marie Perrot-Dockès , Gilles Blanchard , Pierre Neuvial , Etienne Roquain

We consider active learning for binary classification in the agnostic pool-based setting. The vast majority of works in active learning in the agnostic setting are inspired by the CAL algorithm where each query is uniformly sampled from the…

机器学习 · 计算机科学 2021-05-17 Julian Katz-Samuels , Jifan Zhang , Lalit Jain , Kevin Jamieson

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

In the framework of semiparametric distribution regression, we consider the problem of comparing the conditional distribution functions corresponding to two samples. In contrast to testing for exact equality, we are interested in the (null)…

计量经济学 · 经济学 2025-06-12 Holger Dette , Kathrin Möllenhoff , Dominik Wied

In this work, we revisit the problem of uniformity testing of discrete probability distributions. A fundamental problem in distribution testing, testing uniformity over a known domain has been addressed over a significant line of works, and…

数据结构与算法 · 计算机科学 2017-08-17 Tuğkan Batu , Clément L. Canonne

Semantic segmentation models trained on known object classes often fail in real-world autonomous driving scenarios by confidently misclassifying unknown objects. While pixel-wise out-of-distribution detection can identify unknown objects,…

计算机视觉与模式识别 · 计算机科学 2025-08-04 Marc Hölle , Walter Kellermann , Vasileios Belagiannis

Semi-supervised active clustering (SSAC) utilizes the knowledge of a domain expert to cluster data points by interactively making pairwise "same-cluster" queries. However, it is impractical to ask human oracles to answer every pairwise…

机器学习 · 统计学 2017-09-12 Taewan Kim , Joydeep Ghosh

The lasso and related sparsity inducing algorithms have been the target of substantial theoretical and applied research. Correspondingly, many results are known about their behavior for a fixed or optimally chosen tuning parameter specified…

统计理论 · 数学 2016-06-23 Darren Homrighausen , Daniel J. McDonald

We investigate distribution testing with access to non-adaptive conditional samples. In the conditional sampling model, the algorithm is given the following access to a distribution: it submits a query set $S$ to an oracle, which returns a…

数据结构与算法 · 计算机科学 2018-11-06 Gautam Kamath , Christos Tzamos

Generating random variates from high-dimensional distributions is often done approximately using Markov chain Monte Carlo. In certain cases, perfect simulation algorithms exist that allow one to draw exactly from the stationary…

数据结构与算法 · 计算机科学 2017-01-05 Mark Huber

In a recent paper (Efron (2004)), Efron pointed out that an important issue in large-scale multiple hypothesis testing is that the null distribution may be unknown and need to be estimated. Consider a Gaussian mixture model, where the null…

统计理论 · 数学 2009-11-20 Jiashun Jin , Jie Peng , Pei Wang

After variable selection, standard inferential procedures for regression parameters may not be uniformly valid; there is no finite-sample size at which a standard test is guaranteed to approximately attain its nominal size. This problem is…

统计方法学 · 统计学 2020-07-07 Oliver Dukes , Vahe Avagyan , Stijn Vansteelandt

We revisit the outlier hypothesis testing framework of Li \emph{et al.} (TIT 2014) and derive fundamental limits for the optimal test. In outlier hypothesis testing, one is given multiple observed sequences, where most sequences are…

统计理论 · 数学 2022-05-17 Lin Zhou , Yun Wei , Alfred Hero