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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

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

Selective Classification, wherein models can reject low-confidence predictions, promises reliable translation of machine-learning based classification systems to real-world scenarios such as clinical diagnostics. While current evaluation of…

Foundation models often generate unreliable answers, while heuristic uncertainty estimators fail to fully distinguish correct from incorrect outputs, causing users to accept erroneous answers without any statistical guarantee. We address…

Artificial Intelligence · Computer Science 2026-05-27 Zhiyuan Wang , Aniri , Tianlong Chen , Yue Zhang , Heng Tao Shen , Xiaoshuang Shi , Kaidi Xu

We expect that some observers in perceptual signal detection experiments, such as radiologists, will make rational decisions, and therefore ratings from those observers are expected to form a convex ROC curve. However, measured and…

Applications · Statistics 2013-02-01 Lucas Tcheuko , Frank Samuelson

Multiple binary responses arise in many modern data-analytic problems. Although fitting separate logistic regressions for each response is computationally attractive, it ignores shared structure and can be statistically inefficient,…

Machine Learning · Statistics 2026-01-14 The Tien Mai

In this paper, we use the empirical likelihood method to construct the confidence regions for the difference between the parameters of a two-phases nonlinear model with random design. We show that the empirical likelihood ratio has an…

Statistics Theory · Mathematics 2015-02-18 Zahraa Salloum

Recent work on privacy-preserving machine learning has considered how data-mining competitions such as Kaggle could potentially be "hacked", either intentionally or inadvertently, by using information from an oracle that reports a…

Machine Learning · Computer Science 2017-09-12 Jacob Whitehill

High reliability guarantees for Ultra-Reliable Low-Latency Communications (URLLC) require accurate knowledge of channel statistics, used as an input for rate selection. Exploiting the spatial consistency of channel statistics arises as a…

Information Theory · Computer Science 2022-09-23 Tobias Kallehauge , Anders E. Kalør , Pablo Ramírez-Espinosa , Maxime Guillaud , Petar Popovski

Area Under the Curve (AUC) is arguably the most popular measure of classification accuracy. We use a semiparametric framework to introduce a latent scale-invariant $R^2$, a novel measure of variation explained for an observed binary outcome…

Methodology · Statistics 2019-11-01 Debangan Dey , Vadim Zipunnikov

Population quantiles are important parameters in many applications. Enthusiasm for the development of effective statistical inference procedures for quantiles and their functions has been high for the past decade. In this article, we study…

Statistics Theory · Mathematics 2021-11-12 Archer Gong Zhang , Guangyu Zhu , Jiahua Chen

The Lorenz curve portrays the inequality of income distribution. In this article, we develop three modified empirical likelihood (EL) approaches including adjusted empirical likelihood, transformed empirical likelihood, and transformed…

Methodology · Statistics 2023-11-27 Suthakaran Ratnasingam , Spencer Wallace , Imran Amani , Jade Romero

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

Accurate diagnosis of disease is of great importance in clinical practice and medical research. The receiver operating characteristic (ROC) surface is a popular tool for evaluating the discriminatory ability of continuous diagnostic test…

Methodology · Statistics 2018-05-22 Vanda Inacio de Carvalho , Miguel de Carvalho , Adam Branscum

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

Formulating accurate and robust classification strategies is a key challenge of developing diagnostic and antibody tests. Methods that do not explicitly account for disease prevalence and uncertainty therein can lead to significant…

Methodology · Statistics 2022-02-01 Paul N. Patrone , Anthony J. Kearsley

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

Analysis of longitudinal Electronic Health Record (EHR) data is an important goal for precision medicine. Difficulty in applying Machine Learning (ML) methods, either predictive or unsupervised, stems in part from the heterogeneity and…

Quantitative Methods · Quantitative Biology 2022-04-18 Alan D. Kaplan , Uttara Tipnis , Jean C. Beckham , Nathan A. Kimbrel , David W. Oslin , Benjamin H. McMahon

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

We consider linear structural equation models that are associated with mixed graphs. The structural equations in these models only involve observed variables, but their idiosyncratic error terms are allowed to be correlated and…

Computation · Statistics 2017-10-10 Y. Samuel Wang , Mathias Drton
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