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Loss functions drive the optimization of machine learning algorithms. The choice of a loss function can have a significant impact on the training of a model, and how the model learns the data. Binary classification is one of the major…

Machine Learning · Computer Science 2022-11-02 Rayan Wali

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

Weakly supervised learning aims to empower machine learning when the perfect supervision is unavailable, which has drawn great attention from researchers. Among various types of weak supervision, one of the most challenging cases is to…

Machine Learning · Computer Science 2023-09-18 Zheng Xie , Yu Liu , Ming Li

Imbalanced classification tasks are widespread in many real-world applications. For such classification tasks, in comparison with the accuracy rate, it is usually much more appropriate to use non-decomposable performance measures such as…

Machine Learning · Computer Science 2021-03-16 Junru Luo , Hong Qiao , Bo Zhang

Results from multiple diagnostic tests are usually combined to improve the overall diagnostic accuracy. For binary classification, maximization of the empirical estimate of the area under the receiver operating characteristic (ROC) curve is…

Methodology · Statistics 2026-04-16 Raju Maiti , Jialiang Li , Priyam Das , Lei Feng , Derek Hausenloy , Bibhas Chakraborty

Everybody writes that ROC curves, a very common tool in binary classification problems, should be optimal, and in particular concave, non-decreasing and above the 45-degree line. Everybody uses ROC curves, theoretical and especially…

Methodology · Statistics 2019-08-01 Lidia Sacchetto , Mauro Gasparini

While neural networks have shown remarkable success on classification tasks in terms of average-case performance, they often fail to perform well on certain groups of the data. Such group information may be expensive to obtain; thus, recent…

Machine Learning · Computer Science 2022-04-12 Nimit S. Sohoni , Maziar Sanjabi , Nicolas Ballas , Aditya Grover , Shaoliang Nie , Hamed Firooz , Christopher Ré

The area under the receiver-operating characteristic curve (AUC) has become a popular index not only for measuring the overall prediction capacity of a marker but also the association strength between continuous and binary variables. In the…

We focus on interval algorithms for computing guaranteed enclosures of the solutions of constrained global optimization problems where differential constraints occur. To solve such a problem of global optimization with nonlinear ordinary…

Numerical Analysis · Mathematics 2019-10-24 Julien Alexandre dit Sandretto

Many studies are devoted to the design of radiomic models for a prediction task. When no effective model is found, it is often difficult to know whether the radiomic features do not include information relevant to the task or because of…

Quantitative Methods · Quantitative Biology 2021-01-05 AS Dirand , F Frouin , I Buvat

Signal processing is rich in inherently continuous and often nonlinear applications, such as spectral estimation, optical imaging, and super-resolution microscopy, in which sparsity plays a key role in obtaining state-of-the-art results.…

Machine Learning · Computer Science 2020-03-23 Luiz F. O. Chamon , Yonina C. Eldar , Alejandro Ribeiro

We formulate the local ranking problem in the framework of bipartite ranking where the goal is to focus on the best instances. We propose a methodology based on the construction of real-valued scoring functions. We study empirical risk…

Statistics Theory · Mathematics 2016-08-16 Stéphan Clémençon , Nicolas Vayatis

Principal Component Analysis (PCA) is a powerful and popular dimensionality reduction technique. However, due to its linear nature, it often fails to capture the complex underlying structure of real-world data. While Kernel PCA (kPCA)…

Machine Learning · Computer Science 2026-02-05 Thomas Uriot , Elise Chung

Binary classification is one of the oldest, most prevalent, and studied problems in machine learning. However, the metrics used to evaluate model performance have received comparatively little attention. The area under the receiver…

Machine Learning · Statistics 2025-12-12 Tiago Brogueira , Mário A. T. Figueiredo

The F-measure, which has originally been introduced in information retrieval, is nowadays routinely used as a performance metric for problems such as binary classification, multi-label classification, and structured output prediction.…

Machine Learning · Statistics 2015-03-09 Willem Waegeman , Krzysztof Dembczynski , Arkadiusz Jachnik , Weiwei Cheng , Eyke Hullermeier

In this paper, we propose a mean score equation-based approach to estimate the the volume under the receiving operating characteristic (ROC) surface (VUS) of a diagnostic test, under nonignorable (NI) verification bias. The proposed…

Methodology · Statistics 2019-06-21 Duc-Khanh To , Gianfranco Adimari , Monica Chiogna

Ordinal classification models assign higher penalties to predictions further away from the true class. As a result, they are appropriate for relevant diagnostic tasks like disease progression prediction or medical image grading. The…

Computer Vision and Pattern Recognition · Computer Science 2023-09-19 Adrian Galdran

We propose a novel use of a broadcasting operation, which distributes univariate functions to all entries of the tensor covariate, to model the nonlinearity in tensor regression nonparametrically. A penalized estimation and the…

Methodology · Statistics 2024-04-02 Ya Zhou , Raymond K. W. Wong , Kejun He

The performance of many machine learning techniques depends on the choice of an appropriate similarity or distance measure on the input space. Similarity learning (or metric learning) aims at building such a measure from training data so…

Machine Learning · Statistics 2019-01-25 Robin Vogel , Aurélien Bellet , Stéphan Clémençon

In response to the growing importance of geospatial data, its analysis including semantic segmentation becomes an increasingly popular task in computer vision today. Convolutional neural networks are powerful visual models that yield…

Computer Vision and Pattern Recognition · Computer Science 2019-05-21 Alexey Bokhovkin , Evgeny Burnaev