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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…

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

We study the inference problem in the group testing to identify defective items from the perspective of the decision theory. We introduce Bayesian inference and consider the Bayesian optimal setting in which the true generative process of…

Information Theory · Computer Science 2021-10-22 Ayaka Sakata , Yoshiyuki Kabashima

The area under the receiver-operating characteristic curve (AUC) has become a popular index not only for measuring the overall prediction capacity of a marker but also the association strength between continuous and binary variables. In the…

In this paper, we show the arc length of the optimal ROC curve is an $f$-divergence. By leveraging this result, we express the arc length using a variational objective and estimate it accurately using positive and negative samples. We show…

Statistics Theory · Mathematics 2022-10-19 Song Liu

This paper introduces the concept of uniform classification, which employs a unified threshold to classify all samples rather than adaptive threshold classifying each individual sample. We also propose the uniform classification accuracy as…

Computer Vision and Pattern Recognition · Computer Science 2024-03-13 Qiufu Li , Xi Jia , Jiancan Zhou , Linlin Shen , Jinming Duan

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…

Machine Learning · Computer Science 2013-01-18 Frans Coetzee , Steve Lawrence , C. Lee Giles

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

The area under the curve (AUC) of the receiver operating characteristics curve (ROC) evaluates the separation between patients and nonpatients or discrimination. For risk prediction models these risk distributions can be derived from the…

Quantitative Methods · Quantitative Biology 2021-02-23 Ralph H. Stern

In the present paper we develop a Bayesian analysis of radar target detection that uses the parameters of conventional radar analysis to provide a valid prediction of target presence or absence when received signals cross or fail to cross…

Signal Processing · Electrical Eng. & Systems 2019-03-21 Philip Cassady

The accuracy of object detectors and trackers is most commonly evaluated by the Intersection over Union (IoU) criterion. To date, most approaches are restricted to axis-aligned or oriented boxes and, as a consequence, many datasets are only…

Computer Vision and Pattern Recognition · Computer Science 2018-07-27 Tobias Bottger , Patrick Follmann , Michael Fauser

Many typical applications of object detection operate within a prescribed false-positive range. In this situation the performance of a detector should be assessed on the basis of the area under the ROC curve over that range, rather than…

Computer Vision and Pattern Recognition · Computer Science 2015-06-30 Sakrapee Paisitkriangkrai , Chunhua Shen , Anton van den Hengel

In contemporary data analysis, it is increasingly common to work with non-stationary complex data sets. These data sets typically extend beyond the classical low-dimensional Euclidean space, making it challenging to detect shifts in their…

Methodology · Statistics 2025-07-29 Rohit Kanrar , Feiyu Jiang , Zhanrui Cai

Binary classification is one of the oldest, most prevalent, and studied problems in machine learning. However, the metrics used to evaluate model performance have received comparatively little attention. The area under the receiver…

Machine Learning · Statistics 2025-12-12 Tiago Brogueira , Mário A. T. Figueiredo

The area under the ROC curve (AUC) is one of the most widely used performance measures for classification models in machine learning. However, it summarizes the true positive rates (TPRs) over all false positive rates (FPRs) in the ROC…

Machine Learning · Computer Science 2022-10-28 Yao Yao , Qihang Lin , Tianbao Yang

In this paper, we study the accuracy of values aggregated over classes predicted by a classification algorithm. The problem is that the resulting aggregates (e.g., sums of a variable) are known to be biased. The bias can be large even for…

Machine Learning · Statistics 2019-12-02 Q. A. Meertens , C. G. H. Diks , H. J. van den Herik , F W Takes

Traditional machine learning follows a close-set assumption that the training and test set share the same label space. While in many practical scenarios, it is inevitable that some test samples belong to unknown classes (open-set). To fix…

Machine Learning · Computer Science 2023-02-23 Zitai Wang , Qianqian Xu , Zhiyong Yang , Yuan He , Xiaochun Cao , Qingming Huang

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

Learning a good distance metric in feature space potentially improves the performance of the KNN classifier and is useful in many real-world applications. Many metric learning algorithms are however based on the point estimation of a…

Computer Vision and Pattern Recognition · Computer Science 2016-04-11 Dong Wang , Xiaoyang Tan

One of the most promising areas of research to obtain practical advantage is Quantum Machine Learning which was born as a result of cross-fertilisation of ideas between Quantum Computing and Classical Machine Learning. In this paper, we…

Quantum Physics · Physics 2021-11-08 N. Schetakis , D. Aghamalyan , M. Boguslavsky , P. Griffin