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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…

机器学习 · 统计学 2018-10-23 Jacqueline M. Hughes-Oliver

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…

人工智能 · 计算机科学 2026-05-19 Benjamin Sykes , Loïc Simon , Julien Rabin , Jalal Fadili

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…

机器学习 · 计算机科学 2023-07-03 Loïc Simon , Ryan Webster , Julien Rabin

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…

机器学习 · 计算机科学 2026-04-15 Reza Sameni

The area under the ROC curve (AUC) is one of the most widely used performance measures for classification models in machine learning. However, it summarizes the true positive rates (TPRs) over all false positive rates (FPRs) in the ROC…

机器学习 · 计算机科学 2022-10-28 Yao Yao , Qihang Lin , Tianbao Yang

Machine learning models deployed in real-world applications are often evaluated with precision-based metrics such as F1-score or AUC-PR (Area Under the Curve of Precision Recall). Heavily dependent on the class prior, such metrics make it…

机器学习 · 计算机科学 2020-04-29 Wissam Siblini , Jordan Fréry , Liyun He-Guelton , Frédéric Oblé , Yi-Qing Wang

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.…

机器学习 · 计算机科学 2025-10-27 Lee Cohen , Yishay Mansour , Shay Moran , Han Shao

The recent advent of powerful generative models has triggered the renewed development of quantitative measures to assess the proximity of two probability distributions. As the scalar Frechet inception distance remains popular, several…

机器学习 · 计算机科学 2022-10-14 Rodrigue Siry , Ryan Webster , Loic Simon , Julien Rabin

As a variant of the Area Under the ROC Curve (AUC), the partial AUC (PAUC) focuses on a specific range of false positive rate (FPR) and/or true positive rate (TPR) in the ROC curve. It is a pivotal evaluation metric in real-world scenarios…

计算机视觉与模式识别 · 计算机科学 2025-12-02 Yangbangyan Jiang , Qianqian Xu , Huiyang Shao , Zhiyong Yang , Shilong Bao , Xiaochun Cao , Qingming Huang

For some classification scenarios, it is desirable to use only those classification instances that a trained model associates with a high certainty. To obtain such high-certainty instances, previous work has proposed accuracy-reject curves.…

机器学习 · 计算机科学 2024-03-15 Lydia Fischer , Patricia Wollstadt

"Most" hypersurfaces in projective space are irreducible, and rather precise estimates are known for the probability that a random hypersurface over a finite field is reducible. This paper considers the parametrization of space curves by…

数论 · 数学 2013-07-08 Eda Cesaratto , Joachim von zur Gathen , Guillermo Matera

As reinforcement learning (RL) achieves more success in solving complex tasks, more care is needed to ensure that RL research is reproducible and that algorithms herein can be compared easily and fairly with minimal bias. RL results are,…

机器学习 · 计算机科学 2019-09-12 Nicolai A. Lynnerup , Laura Nolling , Rasmus Hasle , John Hallam

Replication of experimental results has been a challenge faced by many scientific disciplines, including the field of machine learning. Recent work on the theory of machine learning has formalized replicability as the demand that an…

机器学习 · 计算机科学 2026-04-15 Eric Eaton , Marcel Hussing , Michael Kearns , Aaron Roth , Sikata Bela Sengupta , Jessica Sorrell

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…

机器学习 · 计算机科学 2025-11-17 Giorgio Morales , Frederic Jurie , Jalal Fadili

In machine learning (ML), a widespread claim is that the area under the precision-recall curve (AUPRC) is a superior metric for model comparison to the area under the receiver operating characteristic (AUROC) for tasks with class imbalance.…

The problem of ensuring constraints satisfaction on the output of machine learning models is critical for many applications, especially in safety-critical domains. Modern approaches rely on penalty-based methods at training time, which do…

机器学习 · 计算机科学 2025-04-14 Gaetano Signorelli , Michele Lombardi

Reinforcement learning (RL) is a branch of machine learning which is employed to solve various sequential decision making problems without proper supervision. Due to the recent advancement of deep learning, the newly proposed Deep-RL…

人工智能 · 计算机科学 2019-04-17 Dhruv Ramani

The well-known empirical risk minimization (ERM) principle is the basis of many widely used machine learning algorithms, and plays an essential role in the classical PAC theory. A common description of a learning algorithm's performance is…

机器学习 · 统计学 2025-01-31 Steve Hanneke , Mingyue Xu

We aim to quantitatively measure the practical usability of medical image segmentation models: to what extent, how often, and on which samples a model's predictions can be used/trusted. We first propose a measure, Correctness-Confidence…

图像与视频处理 · 电气工程与系统科学 2022-07-04 Yizhe Zhang , Suraj Mishra , Peixian Liang , Hao Zheng , Danny Z. Chen

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…

机器学习 · 计算机科学 2024-05-06 Benjamin Sykes , Loic Simon , Julien Rabin
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