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The Receiver Operating Characteristic (ROC) is a well-established representation of the tradeoff between detection and false alarm probabilities in binary hypothesis testing. In many practical contexts ROC's are generated by thresholding a…

统计理论 · 数学 2020-12-16 Catherine Medlock , Alan Oppenheim

In diagnostic studies, researchers frequently encounter imperfect reference standards with some misclassified labels. Treating these as gold standards can bias receiver operating characteristic (ROC) curve analysis. To address this issue,…

统计方法学 · 统计学 2025-02-13 Yifan Sun , Peijun Sang , Qinglong Tian , Pengfei Li

The performance of many machine learning techniques depends on the choice of an appropriate similarity or distance measure on the input space. Similarity learning (or metric learning) aims at building such a measure from training data so…

机器学习 · 统计学 2019-01-25 Robin Vogel , Aurélien Bellet , Stéphan Clémençon

The optimal receiver operating characteristic (ROC) curve, giving the maximum probability of detection as a function of the probability of false alarm, is a key information-theoretic indicator of the difficulty of a binary hypothesis…

信息论 · 计算机科学 2025-06-10 Bruce Hajek , Xiaohan Kang

The receiver operating characteristic (ROC) curve is a powerful statistical tool and has been widely applied in medical research. In the ROC curve estimation, a commonly used assumption is that larger the biomarker value, greater severity…

统计方法学 · 统计学 2023-02-24 Dingding Hu , Meng Yuan , Tao Yu , Pengfei Li

Feature selection aims to select the smallest subset of features for a specified level of performance. The optimal achievable classification performance on a feature subset is summarized by its Receiver Operating Curve (ROC). When infinite…

机器学习 · 计算机科学 2013-01-18 Frans Coetzee , Steve Lawrence , C. Lee Giles

Selective classification enhances the reliability of predictive models by allowing them to abstain from making uncertain predictions. In this work, we revisit the design of optimal selection functions through the lens of the Neyman--Pearson…

机器学习 · 计算机科学 2026-03-04 Alvin Heng , Harold Soh

Most binary classifiers work by processing the input to produce a scalar response and comparing it to a threshold value. The various measures of classifier performance assume, explicitly or implicitly, probability distributions $P_s$ and…

机器学习 · 计算机科学 2019-09-24 Luma Omar , Ioannis Ivrissimtzis

The composite binary hypothesis testing problem within the Neyman-Pearson framework is considered. The goal is to maximize the expectation of a nonlinear function of the detection probability, integrated with respect to a given probability…

统计理论 · 数学 2025-05-26 Yanglei Song , Berkan Dulek , Sinan Gezici

The Receiver Operating Characteristic (ROC) curve of a binary classifier has often been utilized to measure the performance of the classifier. The area beneath this curve is used in particular because of its quoted probabilistic…

机器学习 · 计算机科学 2026-05-05 Steven Redolfi

Most existing binary classification methods target on the optimization of the overall classification risk and may fail to serve some real-world applications such as cancer diagnosis, where users are more concerned with the risk of…

机器学习 · 统计学 2015-08-18 Anqi Zhao , Yang Feng , Lie Wang , Xin Tong

Motivated by problems of anomaly detection, this paper implements the Neyman-Pearson paradigm to deal with asymmetric errors in binary classification with a convex loss. Given a finite collection of classifiers, we combine them and obtain a…

机器学习 · 统计学 2011-03-01 Philippe Rigollet , Xin Tong

In statistical learning theory, determining the sample complexity of realizable binary classification for VC classes was a long-standing open problem. The results of Simon and Hanneke established sharp upper bounds in this setting. However,…

机器学习 · 计算机科学 2023-04-19 Ishaq Aden-Ali , Yeshwanth Cherapanamjeri , Abhishek Shetty , Nikita Zhivotovskiy

We propose a universal classifier for binary Neyman-Pearson classification where null distribution is known while only a training sequence is available for the alternative distribution. The proposed classifier interpolates between…

信息论 · 计算机科学 2022-06-24 Parham Boroumand , Albert Guillén i Fàbregas

The proper use of model evaluation metrics is important for model evaluation and model selection in binary classification tasks. This study investigates how consistent different metrics are at evaluating models across data of different…

机器学习 · 统计学 2024-12-17 Jing Li

We study an optimal threshold functional arising in binary classification for continuous biomarkers. While the ROC curve summarizes discriminatory performance across all thresholds, practical threshold selection must also account for…

统计方法学 · 统计学 2026-05-11 Renato de Paula , Helena Mouriño , Tiago Dias Domingues

The ROC curve is widely used to assess the quality of prediction/classification/ranking algorithms, and its properties have been extensively studied. The precision-recall (PR) curve has become the de facto replacement for the ROC curve in…

机器学习 · 统计学 2018-10-23 Jacqueline M. Hughes-Oliver

In many situations, the choice of an adequate similarity measure or metric on the feature space dramatically determines the performance of machine learning methods. Building automatically such measures is the specific purpose of…

机器学习 · 统计学 2020-02-24 Stéphan Clémençon , Robin Vogel

The Neyman-Pearson region of a simple binary hypothesis testing is the set of points whose coordinates represent the false positive rate and false negative rate of some test. The lower boundary of this region is given by the Neyman-Pearson…

统计理论 · 数学 2025-05-15 Andrew Mullhaupt , Cheng Peng

We explore the role of group symmetries in binary classification tasks, presenting a novel framework that leverages the principles of Neyman-Pearson optimality. Contrary to the common intuition that larger symmetry groups lead to improved…

机器学习 · 计算机科学 2024-08-19 Vishal S. Ngairangbam , Michael Spannowsky
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