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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…

机器学习 · 计算机科学 2017-03-22 Hiva Ghanbari , Katya Scheinberg

Stochastic Gradient Descent has been widely studied with classification accuracy as a performance measure. However, these stochastic algorithms cannot be directly used when non-decomposable pairwise performance measures are used such as…

机器学习 · 统计学 2020-12-07 Soham Dan , Dushyant Sahoo

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…

机器学习 · 计算机科学 2019-12-25 Wanli Shi , Bin Gu , Xinag Li , Heng Huang

In machine learning contests such as the ImageNet Large Scale Visual Recognition Challenge and the KDD Cup, contestants can submit candidate solutions and receive from an oracle (typically the organizers of the competition) the accuracy of…

机器学习 · 计算机科学 2015-11-16 Jacob Whitehill

Formulating real-world optimization problems often begins with making predictions from historical data (e.g., an optimizer that aims to recommend fast routes relies upon travel-time predictions). Typically, learning the prediction model…

机器学习 · 计算机科学 2021-12-20 Chris Cameron , Jason Hartford , Taylor Lundy , Kevin Leyton-Brown

The selective classifier (SC) has been proposed for rank based uncertainty thresholding, which could have applications in safety critical areas such as medical diagnostics, autonomous driving, and the justice system. The Area Under the…

机器学习 · 统计学 2025-09-04 Han Zhou , Jordy Van Landeghem , Teodora Popordanoska , Matthew B. Blaschko

The area under the curve (AUC) of summary receiver operating characteristic (SROC) curve is a primary statistical outcome for meta-analysis of diagnostic test accuracy studies (DTA). However, its confidence interval has not been reported in…

应用统计 · 统计学 2022-08-02 Hisashi Noma , Yuki Matsushima , Ryota Ishii

Deep neural networks provide effective solutions to small-footprint keyword spotting (KWS). However, if training data is limited, it remains challenging to achieve robust and highly accurate KWS in real-world scenarios where unseen sounds…

音频与语音处理 · 电气工程与系统科学 2021-07-14 Menglong Xu , Shengqiang Li , Chengdong Liang , Xiao-Lei Zhang

Designing high-performance electric machines that maintain their efficiency and reliability under uncertain material and operating conditions is crucial for industrial applications. In this paper, we present a novel framework for robust…

最优化与控制 · 数学 2025-04-08 Peter Gangl , Theodor Komann , Nepomuk Krenn , Stefan Ulbrich

Stochastic AUC maximization has garnered an increasing interest due to better fit to imbalanced data classification. However, existing works are limited to stochastic AUC maximization with a linear predictive model, which restricts its…

机器学习 · 计算机科学 2020-07-01 Mingrui Liu , Zhuoning Yuan , Yiming Ying , Tianbao Yang

This work introduces a new method to efficiently solve optimization problems constrained by partial differential equations (PDEs) with uncertain coefficients. The method leverages two sources of inexactness that trade accuracy for speed:…

最优化与控制 · 数学 2019-05-20 Matthew J. Zahr , Kevin T. Carlberg , Drew P. Kouri

Deep neural networks (DNNs) are notorious for making more mistakes for the classes that have substantially fewer samples than the others during training. Such class imbalance is ubiquitous in clinical applications and very crucial to handle…

机器学习 · 计算机科学 2022-01-06 Sara Sangalli , Ertunc Erdil , Andreas Hoetker , Olivio Donati , Ender Konukoglu

The ROC curve is widely used to assess binary classifiers. Yet for some applications, such as alert systems for monitoring hospitalized patients, conventional ROC analysis cannot meet two key deployment needs: enforcing a constraint on…

机器学习 · 计算机科学 2026-04-03 Christopher Ratigan , Kyle Heuton , Carissa Wang , Lenore Cowen , Michael C. Hughes

Many decision processes in artificial intelligence and operations research are modeled by parametric optimization problems whose defining parameters are unknown and must be inferred from observable data. The Predict-Then-Optimize (PtO)…

人工智能 · 计算机科学 2024-02-13 My H Dinh , James Kotary , Ferdinando Fioretto

Modern classification problems frequently present mild to severe label imbalance as well as specific requirements on classification characteristics, and require optimizing performance measures that are non-decomposable over the dataset,…

机器学习 · 统计学 2015-05-27 Harikrishna Narasimhan , Purushottam Kar , Prateek Jain

We present a unified theoretical framework for parametric low-rank approximation, a research area devoted to the development of efficient algorithms that act as adaptive alternatives of traditional methods such as Singular Value…

数值分析 · 数学 2025-09-22 Nicola Rares Franco

An algorithm for solving smooth nonconvex optimization problems is proposed that, in the worst-case, takes $\mathcal{O}(\epsilon^{-3/2})$ iterations to drive the norm of the gradient of the objective function below a prescribed positive…

最优化与控制 · 数学 2018-03-16 Frank E. Curtis , Daniel P. Robinson , Mohammadreza Samadi

Robust optimization is becoming increasingly important in machine learning applications. In this paper, we study a unified framework of robust submodular optimization. We study this problem both from a minimization and maximization…

机器学习 · 计算机科学 2021-03-22 Rishabh Iyer

In the absence of error correction, noisy intermediate-scale quantum devices are operated by training parametrized quantum circuits (PQCs) so as to minimize a suitable loss function. Finding the optimal parameters of those circuits is a…

量子物理 · 物理学 2026-03-24 Iosif Sakos , Antonios Varvitsiotis , Georgios Korpas , Wayne Lin

Machine learning can significantly improve performance for decision-making under uncertainty across a wide range of domains. However, ensuring robustness guarantees requires well-calibrated uncertainty estimates, which can be difficult to…

机器学习 · 计算机科学 2026-02-03 Christopher Yeh , Nicolas Christianson , Alan Wu , Adam Wierman , Yisong Yue