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Classification is a common statistical task in many areas. In order to ameliorate the performance of the existing methods, there are always some new classification procedures proposed. These procedures, especially those raised in the…

统计方法学 · 统计学 2026-05-05 Yuan-chin Ivan Chang

We present a first-order method for solving constrained optimization problems. The method is derived from our previous work, a modified search direction method inspired by singular value decomposition. In this work, we simplify its…

最优化与控制 · 数学 2023-02-24 Long Chen , Kai-Uwe Bletzinger , Nicolas R. Gauger , Yinyu Ye

The area under the ROC curve (AUC) is the standard measure of a biomarker's discriminatory accuracy; however, naive AUC estimates can be misleading when validation cohorts differ from the intended target population. Such covariate shifts…

统计方法学 · 统计学 2025-11-20 Jiajun Liu , Guangcai Mao , Xiaofei Wang

Unconstrained optimization problems are typically solved using iterative methods, which often depend on line search techniques to determine optimal step lengths in each iteration. This paper introduces a novel line search approach.…

最优化与控制 · 数学 2024-05-20 Sören Laue , Tomislav Prusina

Convolutional Neural Networks (CNNs) have been used for automated detection of prostate cancer where Area Under Receiver Operating Characteristic (ROC) curve (AUC) is usually used as the performance metric. Given that AUC is not…

图像与视频处理 · 电气工程与系统科学 2019-11-06 Khashayar Namdar , Isha Gujrathi , Masoom A. Haider , Farzad Khalvati

Line search (or backtracking) procedures have been widely employed into first-order methods for solving convex optimization problems, especially those with unknown problem parameters (e.g., Lipschitz constant). In this paper, we show that…

最优化与控制 · 数学 2024-08-20 Tianjiao Li , Guanghui Lan

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…

机器学习 · 计算机科学 2017-09-12 Jacob Whitehill

Learning rates in stochastic neural network training are currently determined a priori to training, using expensive manual or automated iterative tuning. This study proposes gradient-only line searches to resolve the learning rate for…

机器学习 · 统计学 2020-01-16 Dominic Kafka , Daniel N. Wilke

As a variant of the Area Under the ROC Curve (AUC), the partial AUC (PAUC) focuses on a specific range of false positive rate (FPR) and/or true positive rate (TPR) in the ROC curve. It is a pivotal evaluation metric in real-world scenarios…

计算机视觉与模式识别 · 计算机科学 2025-12-02 Yangbangyan Jiang , Qianqian Xu , Huiyang Shao , Zhiyong Yang , Shilong Bao , Xiaochun Cao , Qingming Huang

We propose a first-order method for solving inequality constrained optimization problems. The method is derived from our previous work [12], a modified search direction method (MSDM) that applies the singular-value decomposition of…

最优化与控制 · 数学 2020-03-12 Long Chen , Wenyi Chen , Kai-Uwe Bletzinger

Matching sonar images with high accuracy has been a problem for a long time, as sonar images are inherently hard to model due to reflections, noise and viewpoint dependence. Autonomous Underwater Vehicles require good sonar image matching…

计算机视觉与模式识别 · 计算机科学 2017-09-08 Matias Valdenegro-Toro

We consider the problem of quantifying the quality of a model selection problem for a graphical model. We discuss this by formulating the problem as a detection problem. Model selection problems usually minimize a distance between the…

信息论 · 计算机科学 2017-10-19 Navid Tafaghodi Khajavi , Anthony Kuh

We propose new simultaneous inference methods for diagnostic trials with elaborate factorial designs. Instead of the commonly used total area under the receiver operating characteristic (ROC) curve, our parameters of interest are partial…

统计理论 · 数学 2023-02-22 Maximilian Wechsung , Frank Konietschke

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…

统计计算 · 统计学 2017-03-21 Waldemar W. Koczkodaj , Alicja Wolny-Dominiak

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

The Receiver Operating Characteristic (ROC) curve stands as a cornerstone in assessing the efficacy of biomarkers for disease diagnosis. Beyond merely evaluating performance, it provides with an optimal cutoff for biomarker values, crucial…

统计方法学 · 统计学 2025-04-29 Soutik Ghosal

In diagnostic studies, researchers frequently encounter imperfect reference standards with some misclassified labels. Treating these as gold standards can bias receiver operating characteristic (ROC) curve analysis. To address this issue,…

统计方法学 · 统计学 2025-02-13 Yifan Sun , Peijun Sang , Qinglong Tian , Pengfei Li

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…

统计方法学 · 统计学 2026-05-11 Renato de Paula , Helena Mouriño , Tiago Dias Domingues

We study the hardness of learning unitary transformations in $U(d)$ via gradient descent on time parameters of alternating operator sequences. We provide numerical evidence that, despite the non-convex nature of the loss landscape, gradient…

量子物理 · 物理学 2020-02-20 Bobak Toussi Kiani , Seth Lloyd , Reevu Maity

Although binary classification is a well-studied problem in computer vision, training reliable classifiers under severe class imbalance remains a challenging problem. Recent work has proposed techniques that mitigate the effects of training…

机器学习 · 计算机科学 2024-06-06 Kelsey Lieberman , Shuai Yuan , Swarna Kamlam Ravindran , Carlo Tomasi