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In this extended abstract, we will present and discuss opportunities and challenges brought about by a new deep learning method by AUC maximization (aka \underline{\bf D}eep \underline{\bf A}UC \underline{\bf M}aximization or {\bf DAM}) for…

Machine Learning · Computer Science 2021-11-05 Tianbao Yang

The area under receiver operating characteristics (AUC) is the standard measure for comparison of anomaly detectors. Its advantage is in providing a scalar number that allows a natural ordering and is independent on a threshold, which…

Machine Learning · Computer Science 2023-05-09 Vít Škvára , Tomáš Pevný , Václav Šmídl

Measuring the performance of a classifier is a vital task in machine learning. The running time of an algorithm that computes the measure plays a very small role in an offline setting, for example, when the classifier is being developed by…

Machine Learning · Computer Science 2021-12-14 Nikolaj Tatti

In statistics, it is common to encounter multi-modal and non-smooth likelihood (or objective function) maximization problems, where the parameters have known upper and lower bounds. This paper proposes a novel derivative-free global…

Optimization and Control · Mathematics 2023-09-14 Priyam Das

Whilst the size and complexity of ML models have rapidly and significantly increased over the past decade, the methods for assessing their performance have not kept pace. In particular, among the many potential performance metrics, the ML…

Machine Learning · Computer Science 2023-12-29 Michael Roberts , Alon Hazan , Sören Dittmer , James H. F. Rudd , Carola-Bibiane Schönlieb

Optimal performance is critical for decision-making tasks from medicine to autonomous driving, however common performance measures may be too general or too specific. For binary classifiers, diagnostic tests or prognosis at a timepoint,…

Dual descent methods are used to solve network optimization problems because descent directions can be computed in a distributed manner using information available either locally or at neighboring nodes. However, choosing a stepsize in the…

Optimization and Control · Mathematics 2012-03-14 Michael Zargham , Alejandro Ribeiro , Ali Jadbabaie

The optimal control input for linear systems can be solved from algebraic Riccati equation (ARE), from which it remains questionable to get the form of the exact solution. In engineering, the acceptable numerical solutions of ARE can be…

Systems and Control · Electrical Eng. & Systems 2022-01-07 Shengbo Wang , Shiping Wen , Kaibo Shi , Song Zhu , Tingwen Huang

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

Purpose: To determine whether deep learning models can distinguish between breast cancer molecular subtypes based on dynamic contrast-enhanced magnetic resonance imaging (DCE-MRI). Materials and methods: In this institutional review…

Computer Vision and Pattern Recognition · Computer Science 2017-12-01 Zhe Zhu , Ehab Albadawy , Ashirbani Saha , Jun Zhang , Michael R. Harowicz , Maciej A. Mazurowski

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

It is very well known that when the exact line search gradient descent method is applied to a convex quadratic objective, the worst-case rate of convergence (ROC), among all seed vectors, deteriorates as the condition number of the Hessian…

Numerical Analysis · Mathematics 2025-05-19 Thomas Yu

In this work, we utilize a Trust Region based Derivative Free Optimization (DFO-TR) method to directly maximize the Area Under Receiver Operating Characteristic Curve (AUC), which is a nonsmooth, noisy function. We show that AUC is a smooth…

Machine Learning · Computer Science 2017-03-22 Hiva Ghanbari , Katya Scheinberg

We address the problem of solving mixed random linear equations. We have unlabeled observations coming from multiple linear regressions, and each observation corresponds to exactly one of the regression models. The goal is to learn the…

Machine Learning · Statistics 2020-08-13 Avishek Ghosh , Kannan Ramchandran

This research is motivated by the need for effective classification in ice-breaking dynamic simulations, aimed at determining the conditions under which an underwater vehicle will break through the ice. This simulation is extremely…

Methodology · Statistics 2025-06-05 Tian Bai , Dianpeng Wang , Kuangqi Chen , Xu He

The Receiver Operating Characteristic (ROC) curve is a useful tool that measures the discriminating power of a continuous variable or the accuracy of a pharmaceutical or medical test to distinguish between two conditions or classes. In…

Methodology · Statistics 2022-07-26 Ana M. Bianco , Graciela Boente , Wenceslao Gonzalez-Manteiga

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

We propose an Adagrad-like algorithm for multi-objective unconstrained optimization that relies on the computation of a common descent direction only. Unlike classical local algorithms for multi-objective optimization, our approach does not…

Optimization and Control · Mathematics 2026-02-06 Marianna De Santis , Gabriele Eichfelder , Margherita Porcelli

High quality object proposals are crucial in visual tracking algorithms that utilize region proposal network (RPN). Refinement of these proposals, typically by box regression and classification in parallel, has been popularly adopted to…

Computer Vision and Pattern Recognition · Computer Science 2020-11-26 Heng Fan , Haibin Ling

Anomaly detection is a dynamic field, in which the evaluation of models plays a critical role in understanding their effectiveness. The selection and interpretation of the evaluation metrics are pivotal, particularly in scenarios with…

Machine Learning · Computer Science 2024-09-25 Minjae Ok , Simon Klüttermann , Emmanuel Müller
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