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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

Transcriptomic assays such as the PAM50-based ROR-P score guide recurrence risk stratification in non-metastatic, ER-positive, HER2-negative breast cancer but are not universally accessible. Histopathology is routinely available and may…

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

When people evaluate the performance of a diagnostic test, it is important to control both True Positive Rate (TPR) and False Positive Rate (FPR). In the literature, most researchers propose the partial area under the ROC curve (pAUC) with…

Methodology · Statistics 2017-06-22 Hanfang Yang , Kun Lu , Xiang Lyu , Feifang Hu

In the analysis of prognosis studies with time-to-event outcomes, dichotomization of patients is often made. As the evaluations of prognostic capacity, the survivals of groups with high/low expression of the biomarker are often estimated by…

Methodology · Statistics 2023-06-01 Yi Zhou , Ao Huang , Satoshi Hattori

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

Cognitive Social Structure (CSS) network studies collect relational data on respondents' direct ties and their perception of ties among all other individuals in the network. When reporting their perception networks, respondents commit two…

Computation · Statistics 2016-06-13 Deniz Yenigun , Gunes Ertan , Michael Siciliano

Self-attention transformers have demonstrated accuracy for image classification with smaller data sets. However, a limitation is that tests to-date are based upon single class image detection with known representation of image populations.…

Machine Learning · Computer Science 2026-03-25 Veronica Wendt , Jacob Steiner , Byunggu Yu , Caleb Kelly , Justin Kim

We propose a novel class of deep stochastic predictors for classifying metric data on graphs within the PAC-Bayes risk certification paradigm. Classifiers are realized as linearly parametrized deep assignment flows with random initial…

Machine Learning · Statistics 2022-02-21 Bastian Boll , Alexander Zeilmann , Stefania Petra , Christoph Schnörr

This work is devoted to the analysis of the performance of energy detection based spectrum sensing in the presence of enriched fading conditions which are distinct for the large number of multipath components and the lack of a dominant…

Information Theory · Computer Science 2016-12-30 Paschalis C. Sofotasios , Mulugeta K. Fikadu , Khuong Ho-Van , Mikko Valkama , George K. Karagiannidis

Certain classes of CUR algorithms, also referred to as cross or pseudoskeleton algorithms, are widely used for low-rank matrix approximation when direct access to all matrix entries is costly. Their key advantage lies in constructing a…

Numerical Analysis · Mathematics 2025-10-02 Grishma Palkar , Hessam Babaee

We propose a method for maximizing a partial area under a receiver operating characteristic (ROC) curve (pAUC) for binary classification tasks. In binary classification tasks, accuracy is the most commonly used as a measure of classifier…

Machine Learning · Statistics 2018-06-14 Naonori Ueda , Akinori Fujino

Objectives: Estimation of areas under receiver operating characteristic curves (AUCs) and their differences is a key task in diagnostic studies. We aimed to derive, evaluate, and implement simple sample size formulas for such studies with a…

Methodology · Statistics 2022-08-03 Di Shu , Guangyong Zou

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

Risk stratification is most directly and informatively summarized as a risk distribution curve. From this curve the ROC curve, predictiveness curve, and other curves depicting risk stratification can be derived, demonstrating that they…

Quantitative Methods · Quantitative Biology 2009-12-17 Ralph Stern

The learning curve expresses the error rate of a predictive modeling procedure as a function of the sample size of the training dataset. It typically is a decreasing, convex function with a positive limiting value. An estimate of the…

Applications · Statistics 2012-03-14 Eric B. Laber , Kerby Shedden , Yang Yang

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

The empirical likelihood is a powerful nonparametric tool, that emulates its parametric counterpart -- the parametric likelihood -- preserving many of its large-sample properties. This article tackles the problem of assessing the…

Methodology · Statistics 2023-05-29 Duc-Khanh To , Gianfranco Adimari , Monica Chiogna

In this paper we consider the problem of maximizing the Area under the ROC curve (AUC) which is a widely used performance metric in imbalanced classification and anomaly detection. Due to the pairwise nonlinearity of the objective function,…

Machine Learning · Computer Science 2019-06-17 Yunwen Lei , Yiming Ying

Spaces of convex and concave functions appear naturally in theory and applications. For example, convex regression and log-concave density estimation are important topics in nonparametric statistics. In stochastic portfolio theory, concave…

Probability · Mathematics 2021-05-25 Peter Baxendale , Ting-Kam Leonard Wong
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