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The receiver operating characteristic (ROC) curve is an important graphic tool for evaluating a test in a wide range of disciplines. While useful, an ROC curve can cross the chance line, either by having an S-shape or a hook at the extreme…

Methodology · Statistics 2024-07-02 Soutik Ghosal , Zhen Chen

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

In this paper, we propose a novel optimization criterion that leverages features of the skew normal distribution to better model the problem of personalized recommendation. Specifically, the developed criterion borrows the concept and the…

Information Retrieval · Computer Science 2020-05-28 Chuan-Ju Wang , Yu-Neng Chuang , Chih-Ming Chen , Ming-Feng Tsai

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

This paper considers the problem of fair probabilistic binary classification with binary protected groups. The classifier assigns scores, and a practitioner predicts labels using a certain cut-off threshold based on the desired trade-off…

Machine Learning · Computer Science 2024-12-20 Avyukta Manjunatha Vummintala , Shantanu Das , Sujit Gujar

The robust Poisson method is becoming increasingly popular when estimating the association of exposures with a binary outcome. Unlike the logistic regression model, the robust Poisson method yields results that can be interpreted as risk or…

Methodology · Statistics 2022-09-14 Denis Talbot , Miceline Mésidor , Yohann Chiu , Marc Simard , Caroline Sirois

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

Objectives: This study provides an effective model selection method based on the empirical likelihood approach for constructing summary receiver operating characteristic (sROC) curves from meta-analyses of diagnostic studies. Methods: We…

Methodology · Statistics 2018-03-13 ShengLi Tzeng , Chun-Shu Chen , Yu-Fen Li , Jin-Hua Chen

Several efforts have been done to bring ROC analysis beyond (binary) classification, especially in regression. However, the mapping and possibilities of these proposals do not correspond to what we expect from the analysis of operating…

Statistics Theory · Mathematics 2013-10-17 Jose Hernandez-Orallo

Throughout science and technology, receiver operating characteristic (ROC) curves and associated area under the curve (AUC) measures constitute powerful tools for assessing the predictive abilities of features, markers and tests in binary…

Machine Learning · Statistics 2021-06-25 Tilmann Gneiting , Eva-Maria Walz

The problem of robust hypothesis testing is studied, where under the null and the alternative hypotheses, the data-generating distributions are assumed to be in some uncertainty sets, and the goal is to design a test that performs well…

Signal Processing · Electrical Eng. & Systems 2023-08-08 Zhongchang Sun , Shaofeng Zou

Some statistical models are specified via a data generating process for which the likelihood function cannot be computed in closed form. Standard likelihood-based inference is then not feasible but the model parameters can be inferred by…

Computation · Statistics 2015-02-20 Michael U. Gutmann , Jukka Corander , Ritabrata Dutta , Samuel Kaski

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

The problem of simple $M-$ary hypothesis testing under a generic performance criterion that depends on arbitrary functions of error probabilities is considered. Using results from convex analysis, it is proved that an optimal decision rule…

Signal Processing · Electrical Eng. & Systems 2019-07-26 Berkan Dulek , Cuneyd Ozturk , Sinan Gezici

In this letter, the optimality of the likelihood ratio test (LRT) is investigated for binary hypothesis testing problems in the presence of a behavioral decision-maker. By utilizing prospect theory, a behavioral decision-maker is modeled to…

Information Theory · Computer Science 2018-12-05 Sinan Gezici , Pramod K. Varshney

Assessing the performance of a learned model is a crucial part of machine learning. However, in some domains only positive and unlabeled examples are available, which prohibits the use of most standard evaluation metrics. We propose an…

Machine Learning · Statistics 2015-12-31 Marc Claesen , Jesse Davis , Frank De Smet , Bart De Moor

Despite the availability of numerous statistical and machine learning tools for joint feature modeling, many scientists investigate features marginally, i.e., one feature at a time. This is partly due to training and convention but also…

Methodology · Statistics 2021-12-01 Jingyi Jessica Li , Yiling Chen , Xin Tong

Receiver operating characteristic (ROC) curves are used ubiquitously to evaluate covariates, markers, or features as potential predictors in binary problems. We distinguish raw ROC diagnostics and ROC curves, elucidate the special role of…

Methodology · Statistics 2018-09-14 Tilmann Gneiting , Peter Vogel

The ROC curve is widely used to assess binary classifiers. Yet for some applications, such as alert systems for monitoring hospitalized patients, conventional ROC analysis cannot meet two key deployment needs: enforcing a constraint on…

Machine Learning · Computer Science 2026-04-03 Christopher Ratigan , Kyle Heuton , Carissa Wang , Lenore Cowen , Michael C. Hughes

In many binary classification applications such as disease diagnosis and spam detection, practitioners often face great needs to control type I errors (i.e., the conditional probability of misclassifying a class 0 observation as class 1) so…

Methodology · Statistics 2021-12-01 Xin Tong , Yang Feng , Jingyi Jessica Li