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Most binary classifiers work by processing the input to produce a scalar response and comparing it to a threshold value. The various measures of classifier performance assume, explicitly or implicitly, probability distributions $P_s$ and…

Machine Learning · Computer Science 2019-09-24 Luma Omar , Ioannis Ivrissimtzis

Receiver operating characteristics (ROCs) are a well-established representation of the tradeoff between detection and false alarm probabilities in classical binary hypothesis testing. We use classical ROCs as motivation for two types of…

Quantum Physics · Physics 2020-12-16 Catherine Medlock , Alan Oppenheim , Isaac Chuang , Qi Ding

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

The identification of biomarkers with high predictive accuracy is a crucial task in medical research, as it can aid clinicians in making early decisions, thereby reducing morbidity and mortality in high-risk populations. Time-dependent…

Methodology · Statistics 2025-10-22 María Xosé Rodríguez-Álvarez , Vanda Inácio

Prior to clinical applications, it is critical that risk prediction models are evaluated in independent studies that did not contribute to model development. While prospective cohort studies provide a natural setting for model validation,…

Methodology · Statistics 2017-10-13 Parichoy Pal Choudhury , Anil K. Chaturvedi , Nilanjan Chatterjee

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

Two different approaches to analysis of data from diagnostic biomarker studies are commonly employed. Logistic regression is used to fit models for probability of disease given marker values, while ROC curves and risk distributions are used…

Applications · Statistics 2013-12-02 Ying Huang , Margaret S. Pepe , Ziding Feng

Conditional independence (CI) is central to causal inference, feature selection, and graphical modeling, yet it is untestable in many settings without additional assumptions. Existing CI tests often rely on restrictive structural…

Machine Learning · Computer Science 2025-12-23 Alek Frohlich , Vladimir Kostic , Karim Lounici , Daniel Perazzo , Massimiliano Pontil

This paper studies the problem of nonparametric testing for the effect of a random functional covariate on a real-valued error term. The covariate takes values in $L^2[0,1]$, the Hilbert space of the square-integrable real-valued functions…

Statistics Theory · Mathematics 2012-05-28 Valentin Patilea , Cesar Sanchez-Sellero , Matthieu Saumard

Many fields use the ROC curve and the PR curve as standard evaluations of binary classification methods. Analysis of ROC and PR, however, often gives misleading and inflated performance evaluations, especially with an imbalanced ground…

Machine Learning · Statistics 2020-06-23 Chang Cao , Davide Chicco , Michael M. Hoffman

Simple correlation coefficients between two variables have been generalized to measure association between two matrices in many ways. Coefficients such as the RV coefficient, the distance covariance (dCov) coefficient and kernel based…

Methodology · Statistics 2014-08-19 Julie Josse , Susan Holmes

This paper proposes new nonparametric diagnostic tools to assess the asymptotic validity of different treatment effects estimators that rely on the correct specification of the propensity score. We derive a particular restriction relating…

Methodology · Statistics 2019-02-11 Pedro H. C. Sant'Anna , Xiaojun Song

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 investigate the hypothesis testing problem that checks whether part of covariates / confounders significantly affect the heterogeneous treatment effect given all covariates. This model checking is particularly useful in…

Statistics Theory · Mathematics 2020-09-24 Niwen Zhou , Xu Guo , Lixing Zhu

Receiver operating characteristic (ROC) analysis is widely used for evaluating diagnostic systems. Recent studies have shown that estimating an area under ROC curve (AUC) with standard cross-validation methods suffers from a large bias. The…

Machine Learning · Statistics 2024-01-25 Ileana Montoya Perez , Antti Airola , Peter J. Boström , Ivan Jambor , Tapio Pahikkala

This paper proposes a new class of nonparametric tests for the correct specification of models based on conditional moment restrictions, paying particular attention to generalized propensity score models. The test procedure is based on two…

Econometrics · Economics 2023-04-18 Pedro H. C. Sant'Anna , Xiaojun Song

This paper presents tests to formally choose between regression models using different derivatives of a functional covariate in scalar-on-function regression. We demonstrate that for linear regression, models using different derivatives can…

Methodology · Statistics 2020-08-19 Giles Hooker , Hanlin Shang

The proper use of model evaluation metrics is important for model evaluation and model selection in binary classification tasks. This study investigates how consistent different metrics are at evaluating models across data of different…

Machine Learning · Statistics 2024-12-17 Jing Li

Estimation and hypothesis tests for the covariance matrix in high dimensions is a challenging problem as the traditional multivariate asymptotic theory is no longer valid. When the dimension is larger than or increasing with the sample…

Methodology · Statistics 2020-11-18 Deepak Nag Ayyala , Santu Ghosh , Daniel F. Linder

Classification is a common statistical task in many areas. In order to ameliorate the performance of the existing methods, there are always some new classification procedures proposed. These procedures, especially those raised in the…

Methodology · Statistics 2026-05-05 Yuan-chin Ivan Chang
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