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We propose new simultaneous inference methods for diagnostic trials with elaborate factorial designs. Instead of the commonly used total area under the receiver operating characteristic (ROC) curve, our parameters of interest are partial…

Statistics Theory · Mathematics 2023-02-22 Maximilian Wechsung , Frank Konietschke

ROC analyses are considered under a variety of assumptions concerning the distributions of a measurement $X$ in two populations. These include the binormal model as well as nonparametric models where little is assumed about the form of…

Applications · Statistics 2021-03-02 Luai Al Labadi , Michael Evans , Qiaoyu Liang

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

The ROC curve is the gold standard for measuring the performance of a test/scoring statistic regarding its capacity to discriminate between two statistical populations in a wide variety of applications, ranging from anomaly detection in…

Statistics Theory · Mathematics 2023-01-25 Stéphan Clémençon , Myrto Limnios , Nicolas Vayatis

Classification performance is often not uniform over the data. Some areas in the input space are easier to classify than others. Features that hold information about the "difficulty" of the data may be non-discriminative and are therefore…

Machine Learning · Computer Science 2016-05-24 Oran Richman , Shie Mannor

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

Receiver Operating Characteristic (ROC) curves are plots of true positive rate versus false positive rate which are used to evaluate binary classification algorithms. Because the Area Under the Curve (AUC) is a constant function of the…

Machine Learning · Computer Science 2023-02-23 Kyle R. Rust , Toby D. Hocking

A new model validation and performance assessment tool is introduced, the sliding threshold of observation for numeric evaluation (STONE) curve. It is based on the relative operating characteristic (ROC) curve technique, but instead of…

Space Physics · Physics 2023-07-17 Michael W. Liemohn , Abigail R. Azari , Natalia Ganushkina , Lutz Rastaetter

The Receiver Operating Characteristic (ROC) surface is a generalization of ROC curve and is widely used for assessment of the accuracy of diagnostic tests on three categories. A complication called the verification bias, meaning that not…

Applications · Statistics 2018-03-20 Rui Zhu , Subhashis Ghosal

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

Verification bias is a well-known problem that may occur in the evaluation of predictive ability of diagnostic tests. When a binary disease status is considered, various solutions can be found in the literature to correct inference based on…

Methodology · Statistics 2023-04-10 Khanh To Duc , Monica Chiogna , Gianfranco Adimari

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…

Machine Learning · Computer Science 2019-09-24 Luma Omar , Ioannis Ivrissimtzis

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,…

Methodology · Statistics 2025-02-13 Yifan Sun , Peijun Sang , Qinglong Tian , Pengfei Li

The Area Under the the Receiver Operating Characteristics (ROC) Curve, referred to as AUC, is a well-known performance measure in the supervised learning domain. Due to its compelling features, it has been employed in a number of studies to…

Machine Learning · Computer Science 2023-04-05 Pablo Andretta Jaskowiak , Ivan Gesteira Costa , Ricardo José Gabrielli Barreto Campello

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…

The challenge of mastering computational tasks of enormous size tends to frequently override questioning the quality of the numerical outcome in terms of accuracy. By this we do not mean the accuracy within the discrete setting, which…

Numerical Analysis · Mathematics 2019-10-17 Markus Bachmayr , Wolfgang Dahmen

Our goal is to build robust optimization problems for making decisions based on complex data from the past. In robust optimization (RO) generally, the goal is to create a policy for decision-making that is robust to our uncertainty about…

Optimization and Control · Mathematics 2014-07-07 Theja Tulabandhula , Cynthia Rudin

Confidence curves are used in uncertainty validation to assess how large uncertainties ($u_{E}$) are associated with large errors ($E$). An oracle curve is commonly used as reference to estimate the quality of the tested datasets. The…

Data Analysis, Statistics and Probability · Physics 2022-12-20 Pascal Pernot

Uncertainty sets are at the heart of robust optimization (RO) because they play a key role in determining the RO models' tractability, robustness, and conservativeness. Different types of uncertainty sets have been proposed that model…

Optimization and Control · Mathematics 2021-07-13 Meysam Cheramin , Richard Li-Yang Chen , Jianqiang Cheng , Ali Pinar

We discuss two novel approaches to the classical two-sample problem. Our starting point are properly standardized and combined, very popular in several areas of statistics and data analysis, ordinal dominance and receiver characteristic…

Methodology · Statistics 2024-01-26 Teresa Ledwina , Adam Zagdański