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Area under ROC curve (AUC) is a widely used performance measure for classification models. We propose two new distributionally robust AUC maximization models (DR-AUC) that rely on the Kantorovich metric and approximate the AUC with the…

Optimization and Control · Mathematics 2020-05-28 Wenbo Ma , Miguel A. Lejeune

In this paper, we propose systematic and efficient gradient-based methods for both one-way and two-way partial AUC (pAUC) maximization that are applicable to deep learning. We propose new formulations of pAUC surrogate objectives by using…

Machine Learning · Computer Science 2023-09-19 Dixian Zhu , Gang Li , Bokun Wang , Xiaodong Wu , Tianbao Yang

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 Area Under the ROC Curve (AUC) is a widely used performance metric for binary classifiers. However, as a global ranking statistic, the AUC aggregates model behavior over the entire dataset, masking localized weaknesses in specific…

Applications · Statistics 2025-08-12 Agus Sudjianto , Alice J. Liu

Distributionally robust optimal control (DROC) is gaining interest. This study presents a reformulation method for discrete DROC (DDROC) problems to design optimal control policies under a worst-case distributional uncertainty. The…

Optimization and Control · Mathematics 2025-10-22 Yuma Shida , Yuji Ito

Area under the ROC curve, a.k.a. AUC, is a measure of choice for assessing the performance of a classifier for imbalanced data. AUC maximization refers to a learning paradigm that learns a predictive model by directly maximizing its AUC…

Machine Learning · Computer Science 2022-08-04 Tianbao Yang , Yiming Ying

The Area under the ROC curve (AUC) is a well-known ranking metric for problems such as imbalanced learning and recommender systems. The vast majority of existing AUC-optimization-based machine learning methods only focus on binary-class…

Machine Learning · Computer Science 2021-07-29 Zhiyong Yang , Qianqian Xu , Shilong Bao , Xiaochun Cao , Qingming Huang

Distributionally Robust Optimal Control (DROC) is a framework that enables robust control in a stochastic setting where the true disturbance distribution is unknown. Traditional DROC approaches require given ambiguity sets and KL divergence…

Robotics · Computer Science 2025-10-03 Rui Liu , Guangyao Shi , Pratap Tokekar

Area under ROC (AUC) is an important metric for binary classification and bipartite ranking problems. However, it is difficult to directly optimizing AUC as a learning objective, so most existing algorithms are based on optimizing a…

Machine Learning · Computer Science 2018-05-28 Siwei Lyu , Yiming Ying

The Partial Area Under the ROC Curve (PAUC), typically including One-way Partial AUC (OPAUC) and Two-way Partial AUC (TPAUC), measures the average performance of a binary classifier within a specific false positive rate and/or true positive…

Machine Learning · Computer Science 2022-10-12 Huiyang Shao , Qianqian Xu , Zhiyong Yang , Shilong Bao , Qingming Huang

The Area Under the the Receiver Operating Characteristics (ROC) Curve, referred to as AUC, is a well-known performance measure in the supervised learning domain. Due to its compelling features, it has been employed in a number of studies to…

Machine Learning · Computer Science 2023-04-05 Pablo Andretta Jaskowiak , Ivan Gesteira Costa , Ricardo José Gabrielli Barreto Campello

The Area Under the ROC Curve (AUC) is a widely used performance measure for imbalanced classification arising from many application domains where high-dimensional sparse data is abundant. In such cases, each $d$ dimensional sample has only…

Machine Learning · Computer Science 2020-09-24 Baojian Zhou , Yiming Ying , Steven Skiena

In this paper we consider the problem of maximizing the Area under the ROC curve (AUC) which is a widely used performance metric in imbalanced classification and anomaly detection. Due to the pairwise nonlinearity of the objective function,…

Machine Learning · Computer Science 2019-06-17 Yunwen Lei , Yiming Ying

A common goal in statistics and machine learning is to learn models that can perform well against distributional shifts, such as latent heterogeneous subpopulations, unknown covariate shifts, or unmodeled temporal effects. We develop and…

Machine Learning · Statistics 2020-07-21 John Duchi , Hongseok Namkoong

The area under the ROC curve (AUC) is a widely used performance measure in machine learning. Increasingly, however, in several applications, ranging from ranking to biometric screening to medicine, performance is measured not in terms of…

Machine Learning · Computer Science 2016-11-29 Harikrishna Narasimhan , Shivani Agarwal

The area under the ROC curve (AUC) is one of the most widely used performance measures for classification models in machine learning. However, it summarizes the true positive rates (TPRs) over all false positive rates (FPRs) in the ROC…

Machine Learning · Computer Science 2022-10-28 Yao Yao , Qihang Lin , Tianbao Yang

Area under the ROC curve (AUC) optimisation techniques developed for neural networks have recently demonstrated their capabilities in different audio and speech related tasks. However, due to its intrinsic nature, AUC optimisation has…

Sound · Computer Science 2021-10-28 Pablo Gimeno , Victoria Mingote , Alfonso Ortega , Antonio Miguel , Eduardo Lleida

This paper studies Distributionally Robust Optimization (DRO), a fundamental framework for enhancing the robustness and generalization of statistical learning and optimization. An effective ambiguity set for DRO must involve distributions…

Machine Learning · Computer Science 2025-10-28 Jiaqi Wen , Jianyi Yang

AUC (Area under the ROC curve) is an important performance measure for applications where the data is highly imbalanced. Learning to maximize AUC performance is thus an important research problem. Using a max-margin based surrogate loss…

Artificial Intelligence · Computer Science 2016-12-28 Vishal Kakkar , Shirish K. Shevade , S Sundararajan , Dinesh Garg

Distributionally robust optimization (DRO) problems are increasingly seen as a viable method to train machine learning models for improved model generalization. These min-max formulations, however, are more difficult to solve. We therefore…

Machine Learning · Statistics 2020-11-03 Soumyadip Ghosh , Mark Squillante , Ebisa Wollega
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