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In this article we revisit the definition of Precision-Recall (PR) curves for generative models proposed by Sajjadi et al. (arXiv:1806.00035). Rather than providing a scalar for generative quality, PR curves distinguish mode-collapse (poor…

Machine Learning · Computer Science 2023-07-03 Loïc Simon , Ryan Webster , Julien Rabin

With the recent success of generative models in image and text, the evaluation of generative models has gained a lot of attention. Whereas most generative models are compared in terms of scalar values such as Frechet Inception Distance…

Machine Learning · Computer Science 2024-05-06 Benjamin Sykes , Loic Simon , Julien Rabin

The ROC curve is widely used to assess the quality of prediction/classification/ranking algorithms, and its properties have been extensively studied. The precision-recall (PR) curve has become the de facto replacement for the ROC curve in…

Machine Learning · Statistics 2018-10-23 Jacqueline M. Hughes-Oliver

In this note I study how the precision of a classifier depends on the ratio $r$ of positive to negative cases in the test set, as well as the classifier's true and false positive rates. This relationship allows prediction of how the…

Machine Learning · Computer Science 2021-04-28 Christopher K I Williams

Despite the tremendous progress in the estimation of generative models, the development of tools for diagnosing their failures and assessing their performance has advanced at a much slower pace. Recent developments have investigated metrics…

Machine Learning · Computer Science 2020-06-09 Josip Djolonga , Mario Lucic , Marco Cuturi , Olivier Bachem , Olivier Bousquet , Sylvain Gelly

The classification of imbalanced data has presented a significant challenge for most well-known classification algorithms that were often designed for data with relatively balanced class distributions. Nevertheless skewed class distribution…

Machine Learning · Statistics 2023-04-21 Jiaju Miao , Wei Zhu

With the recent success of generative models in image and text, the question of their evaluation has recently gained a lot of attention. While most methods from the state of the art rely on scalar metrics, the introduction of Precision and…

Artificial Intelligence · Computer Science 2026-05-19 Benjamin Sykes , Loïc Simon , Julien Rabin , Jalal Fadili

While machine learning models are usually assumed to always output a prediction, there also exist extensions in the form of reject options which allow the model to reject inputs where only a prediction with an unacceptably low certainty…

Machine Learning · Computer Science 2022-02-16 André Artelt , Johannes Brinkrolf , Roel Visser , Barbara Hammer

While generative models have become increasingly prevalent across various domains, fundamental concerns regarding their reliability persist. A crucial yet understudied aspect of these models is the uncertainty quantification surrounding…

Machine Learning · Computer Science 2025-11-17 Giorgio Morales , Frederic Jurie , Jalal Fadili

Machine learning is more and more applied in critical application areas like health and driver assistance. To minimize the risk of wrong decisions, in such applications it is necessary to consider the certainty of a classification to reject…

Machine Learning · Computer Science 2024-06-26 Stephan Hasler , Lydia Fischer

Precision and Recall are fundamental metrics in machine learning tasks where both accurate predictions and comprehensive coverage are essential, such as in multi-label learning, language generation, medical studies, and recommender systems.…

Machine Learning · Computer Science 2025-10-27 Lee Cohen , Yishay Mansour , Shay Moran , Han Shao

We analyse optimum reject strategies for prototype-based classifiers and real-valued rejection measures, using the distance of a data point to the closest prototype or probabilistic counterparts. We compare reject schemes with global…

Machine Learning · Computer Science 2015-03-24 Lydia Fischer , Barbara Hammer , Heiko Wersing

We study the geometry of Receiver Operating Characteristic (ROC) and Precision-Recall (PR) curves in binary classification problems. The key finding is that many of the most commonly used binary classification metrics are merely functions…

Machine Learning · Computer Science 2026-04-15 Reza Sameni

Confidence curves are used in uncertainty validation to assess how large uncertainties ($u_{E}$) are associated with large errors ($E$). An oracle curve is commonly used as reference to estimate the quality of the tested datasets. The…

Data Analysis, Statistics and Probability · Physics 2022-12-20 Pascal Pernot

Selective classification allows models to abstain from making predictions (e.g., say "I don't know") when in doubt in order to obtain better effective accuracy. While typical selective models can be effective at producing more accurate…

Machine Learning · Computer Science 2024-06-24 Adam Fisch , Tommi Jaakkola , Regina Barzilay

Classifiers with rejection are essential in real-world applications where misclassifications and their effects are critical. However, if no problem specific cost function is defined, there are no established measures to assess the…

Computer Vision and Pattern Recognition · Computer Science 2016-01-28 Filipe Condessa , Jelena Kovacevic , Jose Bioucas-Dias

The goal of classification with rejection is to avoid risky misclassification in error-critical applications such as medical diagnosis and product inspection. In this paper, based on the relationship between classification with rejection…

Machine Learning · Statistics 2021-09-30 Nontawat Charoenphakdee , Zhenghang Cui , Yivan Zhang , Masashi Sugiyama

Generative models can have distinct mode of failures like mode dropping and low quality samples, which cannot be captured by a single scalar metric. To address this, recent works propose evaluating generative models using precision and…

Machine Learning · Computer Science 2023-02-03 Alexandre Verine , Benjamin Negrevergne , Muni Sreenivas Pydi , Yann Chevaleyre

Machine learning (ML) models always make a prediction, even when they are likely to be wrong. This causes problems in practical applications, as we do not know if we should trust a prediction. ML with reject option addresses this issue by…

Classical anomaly detection is principally concerned with point-based anomalies, those anomalies that occur at a single point in time. Yet, many real-world anomalies are range-based, meaning they occur over a period of time. Motivated by…

Machine Learning · Computer Science 2019-01-04 Nesime Tatbul , Tae Jun Lee , Stan Zdonik , Mejbah Alam , Justin Gottschlich
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