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Logistic regression is a widely used method in several fields. When applying logistic regression to imbalanced data, for which majority classes dominate over minority classes, all class labels are estimated as `majority class.' In this…

Methodology · Statistics 2025-08-20 Masaaki Okabe , Jun Tsuchida , Hiroshi Yadohisa

Our purpose in this paper is to apply the general methodology for model selection based on T-estimators developed in Birg\'{e} [Ann. Inst. H. Poincar\'{e} Probab. Statist. 42 (2006) 273--325] to the particular situation of the estimation of…

Statistics Theory · Mathematics 2009-09-29 Lucien Birgé

Statisticians often face the choice between using probability models or a paradigm defined by minimising a loss function. Both approaches are useful and, if the loss can be re-cast into a proper probability model, there are many tools to…

Methodology · Statistics 2022-03-29 Jack Jewson , David Rossell

Recent advances in machine learning have led to increased deployment of black-box classifiers across a wide variety of applications. In many such situations there is a critical need to both reliably assess the performance of these…

Machine Learning · Statistics 2021-03-16 Disi Ji , Robert L. Logan , Padhraic Smyth , Mark Steyvers

Effective summarisation evaluation metrics enable researchers and practitioners to compare different summarisation systems efficiently. Estimating the effectiveness of an automatic evaluation metric, termed meta-evaluation, is a critically…

Computation and Language · Computer Science 2024-10-01 Xiang Dai , Sarvnaz Karimi , Biaoyan Fang

We consider learning to optimize a classification metric defined by a black-box function of the confusion matrix. Such black-box learning settings are ubiquitous, for example, when the learner only has query access to the metric of…

Machine Learning · Computer Science 2021-06-25 Gaurush Hiranandani , Jatin Mathur , Harikrishna Narasimhan , Mahdi Milani Fard , Oluwasanmi Koyejo

New proposed models are often compared to state-of-the-art using statistical significance testing. Literature is scarce for classifier comparison using metrics other than accuracy. We present a survey of statistical methods that can be used…

Machine Learning · Computer Science 2016-11-17 Lovedeep Gondara

Measurement involves the determination of quantitative estimates of physical quantities from experiment, along with estimates of their associated uncertainties. Herewith an experimental system model is the key to extracting information from…

Applications · Statistics 2008-09-01 Vladimir B. Bokov

Complex classifiers may exhibit "embarassing" failures in cases where humans can easily provide a justified classification. Avoiding such failures is obviously of key importance. In this work, we focus on one such setting, where a label is…

Machine Learning · Computer Science 2019-06-14 Deborah Cohen , Amit Daniely , Amir Globerson , Gal Elidan

In this paper, we propose a new metric to measure goodness-of-fit for classifiers, the Real World Cost function. This metric factors in information about a real world problem, such as financial impact, that other measures like accuracy or…

Machine Learning · Computer Science 2020-01-07 Yaoshiang Ho , Samuel Wookey

Time series classification is an important task in its own right, and it is often a precursor to further downstream analytics. To date, virtually all works in the literature have used either shape-based classification using a distance…

Machine Learning · Computer Science 2019-12-23 Sara Alaee , Alireza Abdoli , Christian Shelton , Amy C. Murillo , Alec C. Gerry , Eamonn Keogh

We study the problem of learning classifiers with a fairness constraint, with three main contributions towards the goal of quantifying the problem's inherent tradeoffs. First, we relate two existing fairness measures to cost-sensitive…

Machine Learning · Computer Science 2017-05-26 Aditya Krishna Menon , Robert C. Williamson

In statistical classification and machine learning, as well as in social and other sciences, a number of measures of association have been proposed for assessing and comparing individual classifiers, raters, as well as their groups. In this…

Machine Learning · Statistics 2020-02-04 Nadezhda Gribkova , Ričardas Zitikis

Traditional metrics like accuracy, F1-score, and precision are frequently used to evaluate machine learning models, however they may not be sufficient for evaluating performance on tiny, unbalanced, or high-dimensional datasets. A…

Machine Learning · Computer Science 2024-12-11 Serzhan Ossenov

This paper consists of two independent parts. In the first one, we contribute to the study of the class $(\Sigma)$. For instance, we provide a new way to characterize stochastic processes of this class. We also present some new properties…

Probability · Mathematics 2017-02-09 Fulgence Eyi Obiang , Youssef Ouknine , Octave Moutsinga , Gérald Trutnau

Our society is governed by a set of norms which together bring about the values we cherish such as safety, fairness or trustworthiness. The goal of value-alignment is to create agents that not only do their tasks but through their…

Artificial Intelligence · Computer Science 2025-05-22 Kryspin Varys , Federico Cerutti , Adam Sobey , Timothy J. Norman

Positive--unlabeled (PU) learning considers two samples, a positive set P with observations from only one class and an unlabeled set U with observations from two classes. The goal is to classify observations in U. Class mixture proportion…

Methodology · Statistics 2020-01-13 Zhenfeng Lin , James P. Long

The application of machine learning to physics problems is widely found in the scientific literature. Both regression and classification problems are addressed by a large array of techniques that involve learning algorithms. Unfortunately,…

Machine Learning · Computer Science 2022-10-03 Umberto Michelucci , Francesca Venturini

Robust design is one of the main tools employed by engineers for the facilitation of the design of high-quality processes. However, most real-world processes invariably contend with external uncontrollable factors, often denoted as outliers…

Methodology · Statistics 2023-09-12 Xuehong Gao , Zhijin Chen , Bosung Kim , Chanseok Park

Several measures of non-convexity (departures from convexity) have been introduced in the literature, both for sets and functions. Some of them are of geometric nature, while others are more of topological nature. We address the statistical…

Statistics Theory · Mathematics 2022-11-23 Alejandro Cholaquidis , Ricardo Fraiman , Leonardo Moreno , Beatriz Pateiro-López