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Optimal performance is critical for decision-making tasks from medicine to autonomous driving, however common performance measures may be too general or too specific. For binary classifiers, diagnostic tests or prognosis at a timepoint,…

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

The area under the ROC curve (AUC) is a measure of interest in various machine learning and data mining applications. It has been widely used to evaluate classification performance on heavily imbalanced data. The kernelized AUC maximization…

Machine Learning · Computer Science 2019-04-30 Majdi Khalid , Indrakshi Ray , Hamidreza Chitsaz

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

AUC (Area under the ROC curve) is an important performance measure for applications where the data is highly imbalanced. Learning to maximize AUC performance is thus an important research problem. Using a max-margin based surrogate loss…

Artificial Intelligence · Computer Science 2016-12-28 Vishal Kakkar , Shirish K. Shevade , S Sundararajan , Dinesh Garg

The feature space (including both input and output variables) characterises a data mining problem. In predictive (supervised) problems, the quality and availability of features determines the predictability of the dependent variable, and…

Machine Learning · Computer Science 2013-06-25 Celestine-Periale Maguedong-Djoumessi

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

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

The Area Under the ROC Curve (AUC) is an important model metric for evaluating binary classifiers, and many algorithms have been proposed to optimize AUC approximately. It raises the question of whether the generally insignificant gains…

Computational Geometry · Computer Science 2023-06-05 Baojian Zhou , Steven Skiena

Area under the ROC curve, a.k.a. AUC, is a measure of choice for assessing the performance of a classifier for imbalanced data. AUC maximization refers to a learning paradigm that learns a predictive model by directly maximizing its AUC…

Machine Learning · Computer Science 2022-08-04 Tianbao Yang , Yiming Ying

Accurate diagnosis of disease is of fundamental importance in clinical practice and medical research. Before a medical diagnostic test is routinely used in practice, its ability to distinguish between diseased and nondiseased states must be…

Methodology · Statistics 2018-06-05 Vanda Inacio de Carvalho , Maria Xose Rodriguez-Alvarez

Regression testing plays a critical role in maintaining software reliability, particularly for ROS-based autonomous systems (ROSAS), which frequently undergo continuous integration and iterative development. However, conventional regression…

Software Engineering · Computer Science 2025-06-23 Yupeng Jiang , Shuaiyi Sun , Xi Zheng

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…

Methodology · Statistics 2026-05-11 Renato de Paula , Helena Mouriño , Tiago Dias Domingues

The Partial Area Under the ROC Curve (PAUC), typically including One-way Partial AUC (OPAUC) and Two-way Partial AUC (TPAUC), measures the average performance of a binary classifier within a specific false positive rate and/or true positive…

Machine Learning · Computer Science 2022-10-12 Huiyang Shao , Qianqian Xu , Zhiyong Yang , Shilong Bao , Qingming Huang

We propose a computationally efficient estimator, formulated as a convex program, for a broad class of non-linear regression problems that involve difference of convex (DC) non-linearities. The proposed method can be viewed as a significant…

Machine Learning · Statistics 2019-04-01 Sohail Bahmani

Through recognizing causal subgraphs, causal graph learning (CGL) has risen to be a promising approach for improving the generalizability of graph neural networks under out-of-distribution (OOD) scenarios. However, the empirical successes…

Machine Learning · Computer Science 2025-07-02 Yujia Yin , Tianyi Qu , Zihao Wang , Yifan Chen

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

Inverse Optimal Control (IOC) aims to infer the underlying cost functional of an agent from observations of its expert behavior. This paper focuses on the IOC problem within the continuous-time linear quadratic regulator framework,…

Optimization and Control · Mathematics 2025-07-29 Meiling Yu , Lechen Feng , Lei Jiang , Yuan-Hua Ni

Time-dependent Receiver Operating Characteristics (ROC) analysis is a standard method to evaluate the discriminative performance of biomarkers or risk scores for time-to-event outcomes. Extensions of this useful method to left-truncated…

Methodology · Statistics 2025-09-09 Kendrick Li , Mithun Kumar Acharjee

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