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The learning rate in stochastic gradient methods is a critical hyperparameter that is notoriously costly to tune via standard grid search, especially for training modern large-scale models with billions of parameters. We identify a…

Machine Learning · Computer Science 2026-02-17 Amit Attia , Tomer Koren

The ROC (receiver operating characteristic) curve is a widely used device for assessing decision-making systems. It seems surprising, in view of its history dating back to World War Two, that the assignment of uncertainties to a ROC curve…

Data Analysis, Statistics and Probability · Physics 2024-08-19 M. P. Fewell

The adversarial subproblem in two-stage adaptive robust optimization (ARO), which identifies the worst-case uncertainty realization, is a major computational bottleneck. This difficulty is exacerbated when the recourse value function is…

Systems and Control · Electrical Eng. & Systems 2026-03-25 Zhiyi Zhou , Ján Drgoňa , Yury Dvorkin

Pairwise learning, an important domain within machine learning, addresses loss functions defined on pairs of training examples, including those in metric learning and AUC maximization. Acknowledging the quadratic growth in computation…

Machine Learning · Computer Science 2024-02-05 Hilal AlQuabeh , William de Vazelhes , Bin Gu

Semi-supervised ordinal regression (S$^2$OR) problems are ubiquitous in real-world applications, where only a few ordered instances are labeled and massive instances remain unlabeled. Recent researches have shown that directly optimizing…

Machine Learning · Computer Science 2019-12-25 Wanli Shi , Bin Gu , Xinag Li , Heng Huang

This paper presents the intrinsic limit determination algorithm (ILD Algorithm), a novel technique to determine the best possible performance, measured in terms of the AUC (area under the ROC curve) and accuracy, that can be obtained from a…

Machine Learning · Computer Science 2021-07-27 Umberto Michelucci , Michela Sperti , Dario Piga , Francesca Venturini , Marco A. Deriu

The Area Under the ROC Curve (AUC) is a crucial metric for machine learning, which evaluates the average performance over all possible True Positive Rates (TPRs) and False Positive Rates (FPRs). Based on the knowledge that a skillful…

Machine Learning · Computer Science 2022-06-24 Zhiyong Yang , Qianqian Xu , Shilong Bao , Yuan He , Xiaochun Cao , Qingming Huang

The receiver operating characteristic (ROC) curve is the most popular tool used to evaluate the discriminatory capability of diagnostic tests/biomarkers measured on a continuous scale when distinguishing between two alternative disease…

Methodology · Statistics 2021-03-22 Maria Xose Rodriguez-Alvarez , Vanda Inacio

This study presents an innovative method for reducing the number of rating scale items without predictability loss. The "area under the re- ceiver operator curve method" (AUC ROC) is used to implement in the RatingScaleReduction package…

Computation · Statistics 2017-03-21 Waldemar W. Koczkodaj , Alicja Wolny-Dominiak

The most popular classification algorithms are designed to maximize classification accuracy during training. However, this strategy may fail in the presence of class imbalance since it is possible to train models with high accuracy by…

Machine Learning · Computer Science 2024-01-26 Erhan Can Ozcan , Berk Görgülü , Mustafa G. Baydogan , Ioannis Ch. Paschalidis

Cost-sensitive learning relies on the availability of a known and fixed cost matrix. However, in some scenarios, the cost matrix is uncertain during training, and re-train a classifier after the cost matrix is specified would not be an…

Machine Learning · Computer Science 2012-09-11 Rui Wang , Ke Tang

We study an optimal threshold functional arising in binary classification for continuous biomarkers. While the ROC curve summarizes discriminatory performance across all thresholds, practical threshold selection must also account for…

Methodology · Statistics 2026-05-11 Renato de Paula , Helena Mouriño , Tiago Dias Domingues

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

The Area Under the ROC Curve (AUC) is a well-known metric for evaluating instance-level long-tail learning problems. In the past two decades, many AUC optimization methods have been proposed to improve model performance under long-tail…

Computer Vision and Pattern Recognition · Computer Science 2024-10-11 Boyu Han , Qianqian Xu , Zhiyong Yang , Shilong Bao , Peisong Wen , Yangbangyan Jiang , Qingming Huang

The Receiver Operating Characteristic (ROC) is a well-established representation of the tradeoff between detection and false alarm probabilities in binary hypothesis testing. In many practical contexts ROC's are generated by thresholding a…

Statistics Theory · Mathematics 2020-12-16 Catherine Medlock , Alan Oppenheim

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

Binary classification is one of the oldest, most prevalent, and studied problems in machine learning. However, the metrics used to evaluate model performance have received comparatively little attention. The area under the receiver…

Machine Learning · Statistics 2025-12-12 Tiago Brogueira , Mário A. T. Figueiredo

In classification problems, sampling bias between training data and testing data is critical to the ranking performance of classification scores. Such bias can be both unintentionally introduced by data collection and intentionally…

Methodology · Statistics 2017-11-02 Chandler Zuo

We present a uniform analysis of biased stochastic gradient methods for minimizing convex, strongly convex, and non-convex composite objectives, and identify settings where bias is useful in stochastic gradient estimation. The framework we…

Optimization and Control · Mathematics 2020-02-28 Derek Driggs , Jingwei Liang , Carola-Bibiane Schönlieb

Training classification models on imbalanced data tends to result in bias towards the majority class. In this paper, we demonstrate how variable discretization and cost-sensitive logistic regression help mitigate this bias on an imbalanced…

Applications · Statistics 2019-07-29 Lili Zhang , Herman Ray , Jennifer Priestley , Soon Tan
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