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Link prediction is a paradigmatic and challenging problem in network science, which attempts to uncover missing links or predict future links, based on known topology. A fundamental but still unsolved issue is how to choose proper metrics…

Data Analysis, Statistics and Probability · Physics 2023-03-22 Tao Zhou

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

The area under the receiver operating characteristic curve (AUC) is often used to evaluate the performance of clinical prediction models. Recently, a more refined strategy has been proposed to examine a partial area under the curve (pAUC),…

Applications · Statistics 2016-06-22 Travis Gerke , Svitlana Tyekucheva , Lorelei Mucci , Giovanni Parmigiani

In binary classification applications, conservative decision-making that allows for abstention can be advantageous. To this end, we introduce a novel approach that determines the optimal cutoff interval for risk scores, which can be…

Machine Learning · Statistics 2025-10-01 Yishu Wei , Wen-Yee Lee , George Ekow Quaye , Xiaogang Su

The performance of many machine learning techniques depends on the choice of an appropriate similarity or distance measure on the input space. Similarity learning (or metric learning) aims at building such a measure from training data so…

Machine Learning · Statistics 2019-01-25 Robin Vogel , Aurélien Bellet , Stéphan Clémençon

Machine learning (ML) is increasingly employed in real-world applications like medicine or economics, thus, potentially affecting large populations. However, ML models often do not perform homogeneously, leading to underperformance or,…

Machine Learning · Computer Science 2025-08-28 Tom Siegl , Kutalmış Coşkun , Bjarne C. Hiller , Amin Mirzaei , Florian Lemmerich , Martin Becker

In the context of a binary classification problem, the optimal linear combination of continuous predictors can be estimated by maximizing an empirical estimate of the area under the receiver operating characteristic (ROC) curve (AUC). For…

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

The problem of active diagnosis arises in several applications such as disease diagnosis, and fault diagnosis in computer networks, where the goal is to rapidly identify the binary states of a set of objects (e.g., faulty or working) by…

Machine Learning · Computer Science 2012-02-20 Gowtham Bellala , Jason Stanley , Clayton Scott , Suresh K. Bhavnani

Adaptive regularized framework using cubics has emerged as an alternative to line-search and trust-region algorithms for smooth nonconvex optimization, with an optimal complexity amongst second-order methods. In this paper, we propose and…

Optimization and Control · Mathematics 2018-05-30 El houcine Bergou , Youssef Diouane , Serge Gratton

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

Learning for maximizing AUC performance is an important research problem in Machine Learning and Artificial Intelligence. Unlike traditional batch learning methods for maximizing AUC which often suffer from poor scalability, recent years…

Machine Learning · Computer Science 2016-02-02 Yi Ding , Peilin Zhao , Steven C. H. Hoi , Yew-Soon Ong

This paper presents a novel coordinate descent algorithm leveraging a combination of one-directional line search and gradient information for parameter updates for a squared error loss function. Each parameter undergoes updates determined…

Machine Learning · Computer Science 2024-08-05 Yen-Che Hsiao , Abhishek Dutta

Neural ordinary differential equations (NODEs) have recently attracted increasing attention; however, their empirical performance on benchmark tasks (e.g. image classification) are significantly inferior to discrete-layer models. We…

Machine Learning · Statistics 2020-12-07 Juntang Zhuang , Nicha Dvornek , Xiaoxiao Li , Sekhar Tatikonda , Xenophon Papademetris , James Duncan

In this paper, we propose an infeasible arc-search interior-point algorithm for solving nonlinear programming problems. Most algorithms based on interior-point methods are categorized as line search, since they compute a next iterate on a…

Optimization and Control · Mathematics 2020-10-29 Einosuke Iida , Yaguang Yang , Makoto Yamashita

The accuracy of a diagnostic test is typically characterised using the receiver operating characteristic (ROC) curve. Summarising indexes such as the area under the ROC curve (AUC) are used to compare different tests as well as to measure…

Methodology · Statistics 2010-12-30 Fang Yao , Radu V. Craiu , Benjamin Reiser

Piecewise linearization is a key technique for solving nonlinear problems in transportation network design and other optimization fields, in which generating breakpoints is a fundamental task. This paper proposes an optimal breakpoint…

Optimization and Control · Mathematics 2024-08-01 Shaojun Liu

The predictive quality of machine learning models is typically measured in terms of their (approximate) expected prediction error or the so-called Area Under the Curve (AUC) for a particular data distribution. However, when the models are…

Machine Learning · Computer Science 2018-02-08 Hiva Ghanbari , Katya Scheinberg

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 area under the curve (AUC) of the receiver operating characteristics curve (ROC) evaluates the separation between patients and nonpatients or discrimination. For risk prediction models these risk distributions can be derived from the…

Quantitative Methods · Quantitative Biology 2021-02-23 Ralph H. Stern