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Nonlinear function estimation is core to modern machine learning applications. In this paper, to perform nonlinear function estimation, we reduce a nonlinear inverse problem to a linear one using a polynomial kernel expansion. These kernels…

信息论 · 计算机科学 2019-10-02 Hangjin Liu , You , Zhou , Ahmad Beirami , Dror Baron

In the context of a binary classification problem, the optimal linear combination of continuous predictors can be estimated by maximizing an empirical estimate of the area under the receiver operating characteristic (ROC) curve (AUC). For…

This paper presents a computationally efficient method for binary classification using Manski's (1975,1985) maximum score model when covariates are discretely distributed and parameters are partially but not point identified. We establish…

计量经济学 · 经济学 2025-07-29 Joel L. Horowitz , Sokbae Lee

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

Semi-supervised learning is pervasive in real-world applications, where only a few labeled data are available and large amounts of instances remain unlabeled. Since AUC is an important model evaluation metric in classification, directly…

机器学习 · 计算机科学 2019-07-30 Wanli Shi , Bin Gu , Xiang Li , Xiang Geng , Heng Huang

We propose a novel classifier accuracy metric: the Bayesian Area Under the Receiver Operating Characteristic Curve (CBAUC). The method estimates the area under the ROC curve and is related to the recently proposed Bayesian Error Estimator.…

机器学习 · 计算机科学 2019-08-26 Syeda Sakira Hassan , Heikki Huttunen , Jari Niemi , Jussi Tohka

Multiple binary responses arise in many modern data-analytic problems. Although fitting separate logistic regressions for each response is computationally attractive, it ignores shared structure and can be statistically inefficient,…

机器学习 · 统计学 2026-01-14 The Tien Mai

The area under the ROC curve (AUROC) has been vigorously applied for imbalanced classification and moreover combined with deep learning techniques. However, there is no existing work that provides sound information for peers to choose…

机器学习 · 计算机科学 2022-07-06 Dixian Zhu , Xiaodong Wu , Tianbao Yang

The paper studies binary classification and aims at estimating the underlying regression function which is the conditional expectation of the class labels given the inputs. The regression function is the key component of the Bayes optimal…

机器学习 · 统计学 2019-03-26 Balázs Csanád Csáji , Ambrus Tamás

Efficient methods to provide sub-optimal solutions to non-convex optimization problems with knowledge of the solution's sub-optimality would facilitate the widespread application of nonlinear optimal control algorithms. To that end,…

最优化与控制 · 数学 2023-04-10 Prithvi Akella , Aaron D. Ames

We study the canonical problem of maximizing a stochastic submodular function subject to a cardinality constraint, where the goal is to select a subset from a ground set of items with uncertain individual performances to maximize their…

数据结构与算法 · 计算机科学 2019-05-10 Shreyas Sekar , Milan Vojnovic , Se-Young Yun

Discrimination measures such as the concordance index and the cumulative-dynamic time-dependent area under the ROC-curve (AUC) are widely used in the medical literature for evaluating the predictive accuracy of a scoring rule which relates…

统计方法学 · 统计学 2025-08-12 Marie Skov Breum , Torben Martinussen

Throughout science and technology, receiver operating characteristic (ROC) curves and associated area under the curve (AUC) measures constitute powerful tools for assessing the predictive abilities of features, markers and tests in binary…

机器学习 · 统计学 2021-06-25 Tilmann Gneiting , Eva-Maria Walz

Positive Unlabeled (PU) learning is widely used in many applications, where a binary classifier is trained on the datasets consisting of only positive and unlabeled samples. In this paper, we improve PU learning over state-of-the-art from…

机器学习 · 计算机科学 2020-04-22 Liwei Jiang , Dan Li , Qisheng Wang , Shuai Wang , Songtao Wang

The receiver operating characteristic (ROC) curve is a very useful tool for analyzing the diagnostic/classification power of instruments/classification schemes as long as a binary-scale gold standard is available. When the gold standard is…

统计方法学 · 统计学 2011-05-10 Zhanfeng Wang , Yuan-chin Ivan Chang

The ability to collect and store ever more massive databases has been accompanied by the need to process them efficiently. In many cases, most observations have the same behavior, while a probable small proportion of these observations are…

统计理论 · 数学 2021-09-21 Myrto Limnios , Nathan Noiry , Stéphan Clémençon

The positive-unlabeled (PU) classification is a common scenario in real-world applications such as healthcare, text classification, and bioinformatics, in which we only observe a few samples labeled as "positive" together with a large…

机器学习 · 计算机科学 2018-03-20 Ke Ren , Haichuan Yang , Yu Zhao , Mingshan Xue , Hongyu Miao , Shuai Huang , Ji Liu

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…

机器学习 · 计算机科学 2021-11-05 Tianbao Yang

Anomaly Detection is a crucial step for critical applications such in the industrial, medical or cybersecurity domains. These sectors share the same requirement of handling differently the different types of classification errors. Indeed,…

机器学习 · 计算机科学 2025-04-03 Arnaud Bougaham , Benoît Frénay

We study fairness in the context of classification where the performance is measured by the area under the curve (AUC) of the receiver operating characteristic. AUC is commonly used to measure the performance of prediction models. The same…

机器学习 · 计算机科学 2022-08-25 Hortense Fong , Vineet Kumar , Anay Mehrotra , Nisheeth K. Vishnoi