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Verification bias is a well known problem when the predictive ability of a diagnostic test has to be evaluated. In this paper, we discuss how to assess the accuracy of continuous-scale diagnostic tests in the presence of verification bias,…

Methodology · Statistics 2016-04-19 Khanh To Duc , Monica Chiogna , Gianfranco Adimari

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…

Statistics Theory · Mathematics 2025-05-15 Andrew Mullhaupt , Cheng Peng

ROC curves and cost curves are two popular ways of visualising classifier performance, finding appropriate thresholds according to the operating condition, and deriving useful aggregated measures such as the area under the ROC curve (AUC)…

Artificial Intelligence · Computer Science 2011-08-01 José Hernández-Orallo , Peter Flach , Cèsar Ferri

Whilst the size and complexity of ML models have rapidly and significantly increased over the past decade, the methods for assessing their performance have not kept pace. In particular, among the many potential performance metrics, the ML…

Machine Learning · Computer Science 2023-12-29 Michael Roberts , Alon Hazan , Sören Dittmer , James H. F. Rudd , Carola-Bibiane Schönlieb

In this letter, the optimality of the likelihood ratio test (LRT) is investigated for binary hypothesis testing problems in the presence of a behavioral decision-maker. By utilizing prospect theory, a behavioral decision-maker is modeled to…

Information Theory · Computer Science 2018-12-05 Sinan Gezici , Pramod K. Varshney

In this paper, we propose a mean score equation-based approach to estimate the the volume under the receiving operating characteristic (ROC) surface (VUS) of a diagnostic test, under nonignorable (NI) verification bias. The proposed…

Methodology · Statistics 2019-06-21 Duc-Khanh To , Gianfranco Adimari , Monica Chiogna

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…

Machine Learning · Statistics 2018-10-23 Jacqueline M. Hughes-Oliver

Methods for the evaluation of the predictive accuracy of biomarkers with respect to survival outcomes subject to right censoring have been discussed extensively in the literature. In cancer and other diseases, survival outcomes are commonly…

Methodology · Statistics 2018-06-06 Yuan Wu , Xiaofei Wang , Jiaxing Lin , Beilin Jia , Kouros Owzar

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…

Statistics Theory · Mathematics 2025-05-26 Yanglei Song , Berkan Dulek , Sinan Gezici

Multiple diagnostic tests are frequently used to determine the presence of a disease condition in patients. In this paper, we use bivariate copulas to examine the properties of receiver operating characteristic (ROC) curves formed when two…

In this paper we focus on comparative diagnostic trials which are frequently employed to compare two markers with continuous or ordinal results. We derive explicit expressions for the optimal sampling ratio based on a common variance…

Applications · Statistics 2012-06-19 Ting Dong , Liansheng Larry Tang , William F. Rosenberger

Free-response observer performance studies are of great importance for accuracy evaluation and comparison in tasks related to the detection and localization of multiple targets or signals. The free-response receiver operating characteristic…

Methodology · Statistics 2025-12-25 Jiarui Sun , Kaiyuan Liu , Xiao-Hua Zhou

Detecting occupied subbands is a key task for wireless applications such as unlicensed spectrum access. Recently, detection methods were proposed that extract per-subband features from sub-Nyquist baseband samples and then apply…

Signal Processing · Electrical Eng. & Systems 2024-05-28 Hyojin Lee , Sangwoo Park , Osvaldo Simeone , Yonina C. Eldar , Joonhyuk Kang

In many binary classification applications such as disease diagnosis and spam detection, practitioners often face great needs to control type I errors (i.e., the conditional probability of misclassifying a class 0 observation as class 1) so…

Methodology · Statistics 2021-12-01 Xin Tong , Yang Feng , Jingyi Jessica Li

In continuation of an earlier study, we explore a Neymann-Pearson hypothesis testing scenario where, under the null hypothesis ($\cal{H}_0$), the received signal is a white noise process $N_t$, which is not Gaussian in general, and under…

Information Theory · Computer Science 2024-05-07 Yossi Marciano , Neri Merhav

We revisit the outlier hypothesis testing framework of Li \emph{et al.} (TIT 2014) and derive fundamental limits for the optimal test under the generalized Neyman-Pearson criterion. In outlier hypothesis testing, one is given multiple…

Information Theory · Computer Science 2022-02-15 Lin Zhou , Yun Wei , Alfred Hero

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

In high-stakes risk prediction, quantifying uncertainty through interval-valued predictions is essential for reliable decision-making. However, standard evaluation tools like the receiver operating characteristic (ROC) curve and the area…

Machine Learning · Computer Science 2026-02-05 Yuqi Li , Matthew M. Engelhard

The conditional randomization test (CRT) was recently proposed to test whether two random variables X and Y are conditionally independent given random variables Z. The CRT assumes that the conditional distribution of X given Z is known…

Machine Learning · Computer Science 2023-04-11 Shuai Li , Ziqi Chen , Hongtu Zhu , Christina Dan Wang , Wang Wen

Robust estimators for linear regression require non-convex objective functions to shield against adverse affects of outliers. This non-convexity brings challenges, particularly when combined with penalization in high-dimensional settings.…

Computation · Statistics 2025-08-08 David Kepplinger , Siqi Wei