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Area Under the Receiver Operating Characteristic Curve (AUC-ROC) is a popular evaluation metric for binary classifiers. In this paper, we discuss techniques to segment the AUC-ROC along human-interpretable dimensions. AUC-ROC is not an…

Machine Learning · Computer Science 2022-05-25 Arya Tafvizi , Besim Avci , Mukund Sundararajan

The Receiver Operating Characteristic (ROC) curve and the Area Under the Curve (AUC) of the ROC curve are widely used to compare the performance of diagnostic and prognostic assays. The ROC curve has the advantage that it is independent of…

Receiver Operating Characteristic (ROC) curves are useful for evaluation in binary classification and changepoint detection, but difficult to use for learning since the Area Under the Curve (AUC) is piecewise constant (gradient zero almost…

Machine Learning · Computer Science 2024-10-14 Jadon Fowler , Toby Dylan Hocking

Area under ROC curve (AUC) is a widely used performance measure for classification models. We propose two new distributionally robust AUC maximization models (DR-AUC) that rely on the Kantorovich metric and approximate the AUC with the…

Optimization and Control · Mathematics 2020-05-28 Wenbo Ma , Miguel A. Lejeune

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…

Methodology · Statistics 2023-02-24 Dingding Hu , Meng Yuan , Tao Yu , Pengfei Li

Scoring functions are used to evaluate and compare partially probabilistic forecasts. We investigate the use of rank-sum functions such as empirical Area Under the Curve (AUC), a widely-used measure of classification performance, as a…

Statistics Theory · Mathematics 2017-01-31 Simon Byrne

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…

Information Theory · Computer Science 2025-06-10 Bruce Hajek , Xiaohan Kang

When evaluating medical tests or biomarkers for disease classification, the area under the receiver-operating characteristic (ROC) curve is a widely used performance metric that does not require us to commit to a specific decision…

Methodology · Statistics 2013-10-21 Wanhua Su , Yan Yuan , Mu Zhu

In analysis of binary outcomes, the receiver operator characteristic (ROC) curve is heavily used to show the performance of a model or algorithm. The ROC curve is informative about the performance over a series of thresholds and can be…

Computation · Statistics 2020-08-10 John Muschelli

The selective classifier (SC) has been proposed for rank based uncertainty thresholding, which could have applications in safety critical areas such as medical diagnostics, autonomous driving, and the justice system. The Area Under the…

Machine Learning · Statistics 2025-09-04 Han Zhou , Jordy Van Landeghem , Teodora Popordanoska , Matthew B. Blaschko

The Area Under the ROC Curve (AUC) is a widely used performance metric for binary classifiers. However, as a global ranking statistic, the AUC aggregates model behavior over the entire dataset, masking localized weaknesses in specific…

Applications · Statistics 2025-08-12 Agus Sudjianto , Alice J. Liu

Selective classification (or classification with a reject option) pairs a classifier with a selection function to determine whether or not a prediction should be accepted. This framework trades off coverage (probability of accepting a…

Machine Learning · Computer Science 2023-02-23 Andrea Pugnana , Salvatore Ruggieri

The receiver operating characteristic (ROC) curve is an important graphic tool for evaluating a test in a wide range of disciplines. While useful, an ROC curve can cross the chance line, either by having an S-shape or a hook at the extreme…

Methodology · Statistics 2024-07-02 Soutik Ghosal , Zhen Chen

Ordinary least square (OLS), maximum likelihood (ML) and robust methods are the widely used methods to estimate the parameters of a linear regression model. It is well known that these methods perform well under some distributional…

Other Statistics · Statistics 2018-01-29 Şenay Özdemir , Olcay Arslan

The Area Under the ROC Curve (AUC) is a widely employed metric in long-tailed classification scenarios. Nevertheless, most existing methods primarily assume that training and testing examples are drawn i.i.d. from the same distribution,…

Machine Learning · Computer Science 2023-11-07 Siran Dai , Qianqian Xu , Zhiyong Yang , Xiaochun Cao , Qingming Huang

This paper considers the empirical likelihood (EL) construction of confidence intervals for a linear functional based on right censored lifetime data. Many of the results in literature show that log EL has a limiting scaled chi-square…

Statistics Theory · Mathematics 2012-03-28 Shuyuan He , Wei Liang , Junshan Shen , Grace Yang

The area under the receiver operating characteristic curve (AUC) is often used to evaluate the performance of clinical prediction models. Recently, a more refined strategy has been proposed to examine a partial area under the curve (pAUC),…

Applications · Statistics 2016-06-22 Travis Gerke , Svitlana Tyekucheva , Lorelei Mucci , Giovanni Parmigiani

Machine learning models in high-stakes applications, such as recidivism prediction and automated personnel selection, often exhibit systematic performance disparities across sensitive subpopulations, raising critical concerns regarding…

Machine Learning · Statistics 2026-02-13 Jie Tang , Chuanlong Xie , Xianli Zeng , Lixing Zhu

Classification is a common statistical task in many areas. In order to ameliorate the performance of the existing methods, there are always some new classification procedures proposed. These procedures, especially those raised in the…

Methodology · Statistics 2026-05-05 Yuan-chin Ivan Chang

Rating scales are used to elicit data about qualitative entities (e.g., research collaboration). This study presents an innovative method for reducing the number of rating scale items without the predictability loss. The "area under the…