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Gini index is a widely used measure of economic inequality. This article develops a general theory for constructing a confidence interval for Gini index with a specified confidence coefficient and a specified width. Fixed sample size…

统计方法学 · 统计学 2017-09-21 Bhargab Chattopadhyay , Shyamal Krishna De

The Gini score is a popular tool in statistical modeling and machine learning for model validation and model selection. It is a purely rank based score that allows one to assess risk rankings. The Gini score for statistical modeling has…

机器学习 · 统计学 2025-11-20 Alexej Brauer , Mario V. Wüthrich

The paper proposes new second-order accuracy metrics for scoring or rating models, which show the target preference of the model, it is better to diagnose good objects or better to diagnose bad ones for a constant generally accepted…

风险管理 · 定量金融 2023-01-19 M. V. Pomazanov

In classification tasks, the long-tailed minority classes usually offer the predictions that are most important. Yet these classes consistently exhibit low accuracies, whereas a few high-performing classes dominate the game. We pursue a…

机器学习 · 计算机科学 2026-03-18 Ruixi Lin

Well-calibrated predictions of user preferences are essential for many applications. Since recommender systems typically select the top-N items for users, calibration for those top-N items, rather than for all items, is important. We show…

信息检索 · 计算机科学 2024-08-22 Masahiro Sato

Machine learning applications often require calibrated predictions, e.g. a 90\% credible interval should contain the true outcome 90\% of the times. However, typical definitions of calibration only require this to hold on average, and offer…

机器学习 · 统计学 2020-09-10 Shengjia Zhao , Tengyu Ma , Stefano Ermon

For classification models based on neural networks, the maximum predicted class probability is often used as a confidence score. This score rarely predicts well the probability of making a correct prediction and requires a post-processing…

机器学习 · 计算机科学 2024-11-07 Adrien LeCoz , Stéphane Herbin , Faouzi Adjed

We demonstrate that Gini coefficients can be used as unified metrics to evaluate many-versus-many (all-to-all) similarity in vector spaces. Our analysis of various image datasets shows that images with the highest Gini coefficients tend to…

人工智能 · 计算机科学 2024-11-13 Ben Fauber

The deployment of machine learning classifiers in high-stakes domains requires well-calibrated confidence scores for model predictions. In this paper we introduce the notion of variable-based calibration to characterize calibration…

机器学习 · 计算机科学 2023-04-07 Markelle Kelly , Padhraic Smyth

Recommender systems utilize users' historical data to learn and predict their future interests, providing them with suggestions tailored to their tastes. Calibration ensures that the distribution of recommended item categories is consistent…

信息检索 · 计算机科学 2022-08-23 Mohammadmehdi Naghiaei , Hossein A. Rahmani , Mohammad Aliannejadi , Nasim Sonboli

With model trustworthiness being crucial for sensitive real-world applications, practitioners are putting more and more focus on improving the uncertainty calibration of deep neural networks. Calibration errors are designed to quantify the…

机器学习 · 计算机科学 2024-03-14 Sebastian G. Gruber , Florian Buettner

The key indicators of model stability are the population stability index (PSI), which uses the difference in population distribution, and the Kolmogorov-Smirnov statistic (KS) between two distributions. When deriving a binary choice model,…

统计方法学 · 统计学 2025-07-08 M. Pomazanov

In this paper, we obtain an upper bound for the Gini mean difference based on mean, variance and correlation for the case when the variables are correlated. We also derive some closed-form expressions for the Gini mean difference when the…

统计理论 · 数学 2023-01-20 Roberto Vila , Narayanaswamy Balakrishnan , Helton Saulo

The categorical Gini correlation proposed by Dang et al. is a dependence measure to characterize independence between categorical and numerical variables. The asymptotic distributions of the sample correlation under dependence and…

统计理论 · 数学 2023-04-19 Yongli Sang , Xin Dang

Mislabeled data is a pervasive issue that undermines the performance of machine learning systems in real-world applications. An effective approach to mitigate this problem is to detect mislabeled instances and subject them to special…

机器学习 · 计算机科学 2025-11-05 Ilies Chibane , Thomas George , Pierre Nodet , Vincent Lemaire

A machine learning model is calibrated if its predicted probability for an outcome matches the observed frequency for that outcome conditional on the model prediction. This property has become increasingly important as the impact of machine…

机器学习 · 计算机科学 2025-02-25 Muthu Chidambaram , Rong Ge

Overconfidence and underconfidence in machine learning classifiers is measured by calibration: the degree to which the probabilities predicted for each class match the accuracy of the classifier on that prediction. How one measures…

机器学习 · 计算机科学 2020-08-11 Jeremy Nixon , Mike Dusenberry , Ghassen Jerfel , Timothy Nguyen , Jeremiah Liu , Linchuan Zhang , Dustin Tran

Despite the importance of having a measure of confidence in recommendation results, it has been surprisingly overlooked in the literature compared to the accuracy of the recommendation. In this dissertation, I propose a model calibration…

信息检索 · 计算机科学 2024-02-27 Wonbin Kweon

The distribution of errors is a central object in the assesment and benchmarking of computational chemistry methods. The popular and often blind use of the mean unsigned error as a benchmarking statistic leads to ignore distributions…

化学物理 · 物理学 2021-02-19 Pascal Pernot , Andreas Savin

Probabilistic classifiers output a probability distribution on target classes rather than just a class prediction. Besides providing a clear separation of prediction and decision making, the main advantage of probabilistic models is their…

机器学习 · 计算机科学 2019-02-20 Juozas Vaicenavicius , David Widmann , Carl Andersson , Fredrik Lindsten , Jacob Roll , Thomas B. Schön
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