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This paper introduces a unified framework for the detection of a source with a sensor array in the context where the noise variance and the channel between the source and the sensors are unknown at the receiver. The Generalized Maximum…

Probability · Mathematics 2010-06-16 Pascal Bianchi , Merouane Debbah , Mylène Maïda , Jamal Najim

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

Modern wireless systems require not only position estimates, but also quantified uncertainty to support planning, control, and radio resource management. We formulate localization as posterior inference of an unknown transmitter location…

Signal Processing · Electrical Eng. & Systems 2026-02-10 Haozhe Lei , Hao Guo , Tommy Svensson , Sundeep Rangan

Areas under ROC (AUROC) and precision-recall curves (AUPRC) are common metrics for evaluating classification performance for imbalanced problems. Compared with AUROC, AUPRC is a more appropriate metric for highly imbalanced datasets. While…

Machine Learning · Computer Science 2023-04-14 Qi Qi , Youzhi Luo , Zhao Xu , Shuiwang Ji , Tianbao Yang

Mechanistic dynamic models of biochemical networks such as Ordinary Differential Equations (ODEs) contain unknown parameters like the reaction rate constants and the initial concentrations of the compounds. The large number of parameters as…

Data Analysis, Statistics and Probability · Physics 2017-08-14 Clemens Kreutz , Andreas Raue , Jens Timmer

Existing sequential generalized estimating equation methodology for longitudinal and group-correlated data focuses on narrow hypotheses concerning treatment efficacy and often makes modeling assumptions that impede the desirable robustness…

Methodology · Statistics 2026-03-16 Nathan T. Provost , Abdus S. Wahed

Existing inferential methods for small area data involve a trade-off between maintaining area-level frequentist coverage rates and improving inferential precision via the incorporation of indirect information. In this article, we propose a…

Methodology · Statistics 2022-04-19 Elizabeth Bersson , Peter D. Hoff

The volume under the receiver operating characteristic surface (VUS) is useful for measuring the overall accuracy of a diagnostic test when the possible disease status belongs to one of three ordered categories. In medical studies, the VUS…

Methodology · Statistics 2018-07-03 Khanh To Duc , Monica Chiogna , Gianfranco Adimari

This work suggests the estimation method developed in relation to the position of the robotic system (RS) operator, showing his degree of risk proneness. The base models are: Hurwitz pessimism/optimism criterion and decision trees. The…

Robotics · Computer Science 2017-03-21 Valery Vilisov

In medical diagnostics, leveraging multiple biomarkers can significantly improve classification accuracy compared to using a single biomarker. While existing methods based on exponential tilting or density ratio models have shown promise,…

Methodology · Statistics 2026-01-08 Fangyong Zheng , Pengfei Li , Tao Yu

Confidence interval procedures used in low dimensional settings are often inappropriate for high dimensional applications. When a large number of parameters are estimated, marginal confidence intervals associated with the most significant…

Methodology · Statistics 2017-02-24 Jean Morrison , Noah Simon

This paper formulates a penalized empirical likelihood (PEL) method for inference on the population mean when the dimension of the observations may grow faster than the sample size. Asymptotic distributions of the PEL ratio statistic is…

Statistics Theory · Mathematics 2013-02-28 Soumendra N. Lahiri , Subhodeep Mukhopadhyay

There are various measures of predictive uncertainty in the literature, but their relationships to each other remain unclear. This paper uses a decomposition of statistical pointwise risk into components, associated with different sources…

Machine Learning · Statistics 2025-02-18 Nikita Kotelevskii , Vladimir Kondratyev , Martin Takáč , Éric Moulines , Maxim Panov

In recommendation systems, one is interested in the ranking of the predicted items as opposed to other losses such as the mean squared error. Although a variety of ways to evaluate rankings exist in the literature, here we focus on the Area…

Machine Learning · Statistics 2015-08-26 Charanpal Dhanjal , Romaric Gaudel , Stephan Clemencon

When determining which machine learning model best performs some high impact risk assessment task, practitioners commonly use the Area under the Curve (AUC) to defend and validate their model choices. In this paper, we argue that the…

Computers and Society · Computer Science 2023-05-30 Kweku Kwegyir-Aggrey , Marissa Gerchick , Malika Mohan , Aaron Horowitz , Suresh Venkatasubramanian

Robustness in AI systems refers to their ability to maintain reliable and accurate performance under various conditions, including out-of-distribution (OOD) samples, adversarial attacks, and environmental changes. This is crucial in…

Artificial Intelligence · Computer Science 2025-10-15 Wissam Salhab , Darine Ameyed , Hamid Mcheick , Fehmi Jaafar

In many applications, parameters of interest are estimated by solving some non-smooth estimating equations with $U$-statistic structure. Jackknife empirical likelihood (JEL) approach can solve this problem efficiently by reducing the…

Methodology · Statistics 2019-06-18 Yongli Sang , Xin Dang , Yichuan Zhao

We employ uncertain parametric CTMCs with parametric transition rates and a prior on the parameter values. The prior encodes uncertainty about the actual transition rates, while the parameters allow dependencies between transition rates.…

Logic in Computer Science · Computer Science 2022-12-08 Thom S. Badings , Nils Jansen , Sebastian Junges , Marielle Stoelinga , Matthias Volk

An index of an effective number of variables (ENV) is introduced for model selection in nested models. This is the case, for instance, when we have to decide the order of a polynomial function or the number of bases in a nonlinear…

Methodology · Statistics 2026-02-26 Luca Martino , Eduardo Morgado , Roberto San Millán-Castillo

We formulate the local ranking problem in the framework of bipartite ranking where the goal is to focus on the best instances. We propose a methodology based on the construction of real-valued scoring functions. We study empirical risk…

Statistics Theory · Mathematics 2016-08-16 Stéphan Clémençon , Nicolas Vayatis