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Binary classification is a common statistical learning problem in which a model is estimated on a set of covariates for some outcome indicating the membership of one of two classes. In the literature, there exists a distinction between hard…

Machine Learning · Statistics 2014-11-20 Patrick K. Kimes , D. Neil Hayes , J. S. Marron , Yufeng Liu

Non-linear performance measures are widely used for the evaluation of learning algorithms. For example, $F$-measure is a commonly used performance measure for classification problems in machine learning and information retrieval community.…

Machine Learning · Computer Science 2018-01-03 Shameem A Puthiya Parambath , Nicolas Usunier , Yves Grandvalet

The properties of precessing, coalescing binary black holes are presently inferred through comparison with two approximate models of compact binary coalescence. In this work we show these two models often disagree substantially when…

General Relativity and Quantum Cosmology · Physics 2018-01-03 A. R. Williamson , J. Lange , R. O'Shaughnessy , J. A. Clark , P. Kumar , J. Calderón Bustillo , J. Veitch

Performance measurement is an essential task once a statistical model is created. The Area Under the receiving operating characteristics Curve (AUC) is the most popular measure for evaluating the quality of a binary classifier. In this…

Computation · Statistics 2021-05-24 Robin Van Oirbeek , Jolien Ponnet , Tim Verdonck

We consider a PAC-Bayes type learning rule for binary classification, balancing the training error of a randomized ''posterior'' predictor with its KL divergence to a pre-specified ''prior''. This can be seen as an extension of a modified…

Machine Learning · Statistics 2026-03-25 Xiaohan Zhu , Mesrob I. Ohannessian , Nathan Srebro

Learning a good distance metric in feature space potentially improves the performance of the KNN classifier and is useful in many real-world applications. Many metric learning algorithms are however based on the point estimation of a…

Computer Vision and Pattern Recognition · Computer Science 2016-04-11 Dong Wang , Xiaoyang Tan

Classification of high dimensional data finds wide-ranging applications. In many of these applications equipping the resulting classification with a measure of uncertainty may be as important as the classification itself. In this paper we…

Machine Learning · Computer Science 2018-02-12 Andrea L. Bertozzi , Xiyang Luo , Andrew M. Stuart , Konstantinos C. Zygalakis

In this paper we show that the negative sample distance covariance function is a quasi-concave set function of samples of random variables that are not statistically independent. We use these properties to propose greedy algorithms to…

Methodology · Statistics 2017-02-20 Praneeth Vepakomma , Yulia Kempner

In the context of the Classification and Regression Trees (CART) algorithm, the efficient splitting of categorical features using standard criteria like GINI and Entropy is well-established. However, using the Mean Absolute Error (MAE)…

Machine Learning · Computer Science 2025-11-12 Peng Yu , Yike Chen , Chao Xu , Albert Bifet , Jesse Read

Consider a multi-class labelling problem, where the labels can take values in $[k]$, and a predictor predicts a distribution over the labels. In this work, we study the following foundational question: Are there notions of multi-class…

Machine Learning · Computer Science 2024-06-11 Parikshit Gopalan , Lunjia Hu , Guy N. Rothblum

This paper addresses binary classification in scenarios where obtaining explicit instance level labels is impractical, by exploiting multiple weak labels defined on instance pairs. The existing SconfConfDiff classification framework relies…

Machine Learning · Computer Science 2026-03-23 Tomoya Tate , Kosuke Sugiyama , Masato Uchida

We revisit the foundations of fairness and its interplay with utility and efficiency in settings where the training data contain richer labels, such as individual types, rankings, or risk estimates, rather than just binary outcomes. In this…

Machine Learning · Computer Science 2025-05-23 Noga Amit , Omer Reingold , Guy N. Rothblum

We study adaptive combinatorial maximization, which is a core challenge in machine learning, with applications in active learning as well as many other domains. We study the Bayesian setting, and consider the objectives of maximization…

Machine Learning · Computer Science 2025-10-09 Shlomi Weitzman , Sivan Sabato

Dimension reduction and data quantization are two important methods for reducing data complexity. In the paper, we study the methodology of first reducing data dimension by random projection and then quantizing the projections to ternary or…

Computer Vision and Pattern Recognition · Computer Science 2022-04-01 Weizhi Lu , Mingrui Chen , Kai Guo , Weiyu Li

Algorithmic fairness involves expressing notions such as equity, or reasonable treatment, as quantifiable measures that a machine learning algorithm can optimise. Most work in the literature to date has focused on classification problems…

Machine Learning · Computer Science 2020-03-06 Daniel Steinberg , Alistair Reid , Simon O'Callaghan

Recent years have witnessed many successful applications of contrastive learning in diverse domains, yet its self-supervised version still remains many exciting challenges. As the negative samples are drawn from unlabeled datasets, a…

Machine Learning · Computer Science 2024-02-01 Bin Liu , Bang Wang , Tianrui Li

Binary 0-1 measurement matrices, especially those from coding theory, were introduced to compressed sensing (CS) recently. Good measurement matrices with preferred properties, e.g., the restricted isometry property (RIP) and nullspace…

Information Theory · Computer Science 2013-09-24 Xin-Ji Liu , Shu-Tao Xia

Machine learning-supported decisions, such as ordering diagnostic tests or determining preventive custody, often require converting probabilistic forecasts into binary classifications. We adopt a consequentialist perspective from decision…

Machine Learning · Computer Science 2026-03-11 Gerardo Flores , Abigail Schiff , Alyssa H. Smith , Julia A Fukuyama , Ashia C. Wilson

Classification tasks in machine learning involving more than two classes are known by the name of "multi-class classification". Performance indicators are very useful when the aim is to evaluate and compare different classification models…

Machine Learning · Statistics 2020-08-14 Margherita Grandini , Enrico Bagli , Giorgio Visani

We investigate the problem of multiclass classification with rejection, where a classifier can choose not to make a prediction to avoid critical misclassification. First, we consider an approach based on simultaneous training of a…

Machine Learning · Statistics 2019-10-31 Chenri Ni , Nontawat Charoenphakdee , Junya Honda , Masashi Sugiyama
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