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Related papers: Weighted MCC: A Robust Measure of Multiclass Class…

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The Pearson-Matthews correlation coefficient (usually abbreviated MCC) is considered to be one of the most useful metrics for the performance of a binary classification or hypothesis testing method (for the sake of conciseness we will use…

Signal Processing · Electrical Eng. & Systems 2023-05-11 Petre Stoica , Prabhu Babu

Evaluating classifications is crucial in statistics and machine learning, as it influences decision-making across various fields, such as patient prognosis and therapy in critical conditions. The Matthews correlation coefficient (MCC) is…

Methodology · Statistics 2024-06-18 Yuki Itaya , Jun Tamura , Kenichi Hayashi , Kouji Yamamoto

Multivariate correlation analysis plays an important role in various fields such as statistics, economics, and big data analytics. In this paper, we propose a pair of measures, the unsigned correlation coefficient (UCC) and the unsigned…

Statistics Theory · Mathematics 2020-01-28 Jianji Wang , Nanning Zheng

Classification problems are essential statistical tasks that form the foundation of decision-making across various fields, including patient prognosis and treatment strategies for critical conditions. Consequently, evaluating the…

Methodology · Statistics 2025-03-11 Jun Tamura , Yuki Itaya , Kenichi Hayashi , Kouji Yamamoto

In observational causal inference, in order to emulate a randomized experiment, weights are used to render treatments independent of observed covariates. This property is known as balance; in its absence, estimated causal effects may be…

Methodology · Statistics 2020-07-16 David Arbour , Drew Dimmery , Arjun Sondhi

We show that established performance metrics in binary classification, such as the F-score, the Jaccard similarity coefficient or Matthews' correlation coefficient (MCC), are not robust to class imbalance in the sense that if the proportion…

Machine Learning · Statistics 2024-04-12 Hajo Holzmann , Bernhard Klar

In the last few years, many different performance measures have been introduced to overcome the weakness of the most natural metric, the Accuracy. Among them, Matthews Correlation Coefficient has recently gained popularity among researchers…

Machine Learning · Statistics 2012-08-20 Giuseppe Jurman , Cesare Furlanello

Weighting estimators based on propensity scores are widely used for causal estimation in a variety of contexts, such as observational studies, marginal structural models and interference. They enjoy appealing theoretical properties such as…

Methodology · Statistics 2021-10-06 Linbo Wang , Yuexia Zhang , Thomas S. Richardson , Xiao-Hua Zhou

This work investigates into cost behaviors of binary classification measures in a background of class-imbalanced problems. Twelve performance measures are studied, such as F measure, G-means in terms of accuracy rates, and of recall and…

Machine Learning · Computer Science 2014-03-28 Bao-Gang Hu , Wei-Ming Dong

Context: There is considerable diversity in the range and design of computational experiments to assess classifiers for software defect prediction. This is particularly so, regarding the choice of classifier performance metrics.…

Software Engineering · Computer Science 2020-03-04 Jingxiu Yao , Martin Shepperd

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

Similarity distance measure between two trajectories is an essential tool to understand patterns in motion, for example, in Human-Robot Interaction or Imitation Learning. The problem has been faced in many fields, from Signal Processing,…

Human-Computer Interaction · Computer Science 2019-07-08 Julen Urain , Jan Peters

Selecting an appropriate evaluation metric for classifiers is crucial for model comparison, parameter optimization, and deployment decisions, yet there is no consensus on a broadly accepted evaluation paradigm explicitly aligned with Total…

Machine Learning · Computer Science 2026-05-28 Pierangelo Lombardo , Antonio Casoli , Cristian Cingolani , Shola Oshodi , Michele Zanatta

Conformal prediction is a powerful framework for constructing prediction sets with valid coverage guarantees in multi-class classification. However, existing methods often rely on a single score function, which can limit their efficiency…

Machine Learning · Statistics 2025-03-05 Rui Luo , Zhixin Zhou

A weighted likelihood technique for robust estimation of a multivariate Wrapped Normal distribution for data points scattered on a p-dimensional torus is proposed. The occurrence of outliers in the sample at hand can badly compromise…

Methodology · Statistics 2021-07-01 Giovanni Saraceno , Claudio Agostinelli , Luca Greco

Several performance measures can be used for evaluating classification results: accuracy, F-measure, and many others. Can we say that some of them are better than others, or, ideally, choose one measure that is best in all situations? To…

Machine Learning · Computer Science 2022-01-25 Martijn Gösgens , Anton Zhiyanov , Alexey Tikhonov , Liudmila Prokhorenkova

Multivariate sign functions are often used for robust estimation and inference. We propose using data dependent weights in association with such functions. The proposed weighted sign functions retain desirable robustness properties, while…

Methodology · Statistics 2022-06-22 Subhabrata Majumdar , Snigdhansu Chatterjee

Pearson's correlation is an important summary measure of the amount of dependence between two variables. It is natural to want to generalise the concept of correlation as a single number that measures the inter-relatedness of three or more…

Methodology · Statistics 2020-03-06 Benjamin M. Taylor

Relation classification models are conventionally evaluated using only a single measure, e.g., micro-F1, macro-F1 or AUC. In this work, we analyze weighting schemes, such as micro and macro, for imbalanced datasets. We introduce a framework…

Computation and Language · Computer Science 2022-05-20 David Harbecke , Yuxuan Chen , Leonhard Hennig , Christoph Alt

Uncertainty estimates must be calibrated (i.e., accurate) and sharp (i.e., informative) in order to be useful. This has motivated a variety of methods for recalibration, which use held-out data to turn an uncalibrated model into a…

Machine Learning · Computer Science 2022-07-06 Charles Marx , Shengjia Zhao , Willie Neiswanger , Stefano Ermon
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