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We show how to take a regression function $\hat{f}$ that is appropriately ``multicalibrated'' and efficiently post-process it into an approximately error minimizing classifier satisfying a large variety of fairness constraints. The…

Machine Learning · Computer Science 2022-09-16 Ira Globus-Harris , Varun Gupta , Christopher Jung , Michael Kearns , Jamie Morgenstern , Aaron Roth

Ensuring that classifiers are well-calibrated, i.e., their predictions align with observed frequencies, is a minimal and fundamental requirement for classifiers to be viewed as trustworthy. Existing methods for assessing multiclass…

Machine Learning · Computer Science 2025-10-30 Mahmoud Hegazy , Michael I. Jordan , Aymeric Dieuleveut

Post-hoc recalibration methods are widely used to ensure that classifiers provide faithful probability estimates. We argue that parametric recalibration functions based on logistic regression can be motivated from a simple theoretical…

Machine Learning · Computer Science 2026-03-11 Eugène Berta , David Holzmüller , Michael I. Jordan , Francis Bach

Traditional statistical and machine learning methods typically assume that the training and test data follow the same distribution. However, this assumption is frequently violated in real-world applications, where the training data in the…

Methodology · Statistics 2025-07-08 Hanxuan Ye , Hongzhe Li

Factorizing low-rank matrices is a problem with many applications in machine learning and statistics, ranging from sparse PCA to community detection and sub-matrix localization. For probabilistic models in the Bayes optimal setting, general…

Information Theory · Computer Science 2018-12-07 Jean Barbier , Mohamad Dia , Nicolas Macris , Florent Krzakala , Lenka Zdeborová

The paper concerns the probabilistic evaluation of plans in the presence of unmeasured variables, each plan consisting of several concurrent or sequential actions. We establish a graphical criterion for recognizing when the effects of a…

Artificial Intelligence · Computer Science 2013-02-21 Judea Pearl , James M. Robins

Probabilistic time-series forecasting enables reliable decision making across many domains. Most forecasting problems have diverse sources of data containing multiple modalities and structures. Leveraging information as well as uncertainty…

Machine Learning · Computer Science 2022-02-28 Harshavardhan Kamarthi , Lingkai Kong , Alexander Rodríguez , Chao Zhang , B. Aditya Prakash

The prevalence of spatially referenced multivariate data has impelled researchers to develop a procedure for the joint modeling of multiple spatial processes. This ordinarily involves modeling marginal and cross-process dependence for any…

Methodology · Statistics 2020-07-10 Ghulam A. Qadir , Ying Sun

The paper discusses the challenge of evaluating the prognosis quality of machine health index (HI) data. Many existing solutions in machine health forecasting involve visually assessing the quality of predictions to roughly gauge the…

Signal Processing · Electrical Eng. & Systems 2025-02-14 Daniel Kuzio , Radosław Zimroz , Agnieszka Wyłomańska

Most machine learning classifiers only concern classification accuracy, while certain applications (such as medical diagnosis, meteorological forecasting, and computation advertising) require the model to predict the true probability, known…

Machine Learning · Computer Science 2025-03-13 Siguang Huang , Yunli Wang , Lili Mou , Huayue Zhang , Han Zhu , Chuan Yu , Bo Zheng

It has been documented that Spread-Error equality and a flat rank histogram are necessary but insufficient for demonstrating ensemble forecast reliability. Nevertheless, these metrics are heavily relied upon, both in the literature and at…

Atmospheric and Oceanic Physics · Physics 2026-03-30 Arlan Dirkson , Mark Buehner

Scholars frequently use covariate balance tests to test the validity of natural experiments and related designs. Unfortunately, when measured covariates are unrelated to potential outcomes, balance is uninformative about key identification…

Methodology · Statistics 2025-10-15 Clara Bicalho , Adam Bouyamourn , Thad Dunning

We present a scheme by which a probabilistic forecasting system whose predictions have poor probabilistic calibration may be recalibrated by incorporating past performance information to produce a new forecasting system that is demonstrably…

Methodology · Statistics 2019-04-08 Carlo Graziani , Robert Rosner , Jennifer M. Adams , Reason L. Machete

Calibration is a vital aspect of the performance of risk prediction models, but research in the context of ordinal outcomes is scarce. This study compared calibration measures for risk models predicting a discrete ordinal outcome, and…

While probabilistic forecast verification for categorical forecasts is well established, some of the existing concepts and methods have not found their equivalent for the case of continuous variables. New tools dedicated to the assessment…

Atmospheric and Oceanic Physics · Physics 2015-10-02 Zied Ben Bouallegue , Pierre Pinson , Petra Friederichs

Evaluation of clinical prediction models across multiple clusters, whether centers or datasets, is becoming increasingly common. A comprehensive evaluation includes an assessment of the agreement between the estimated risks and the observed…

Methodology · Statistics 2026-04-22 Lasai Barreñada , Bavo D. C. Campo , Laure Wynants , Ben Van Calster

Prediction performance does not always reflect the estimation behaviour of a method. High error in estimation may necessarily not result in high prediction error, but can lead to an unreliable prediction if test data lie in a slightly…

Applications · Statistics 2020-09-22 Raju Rimal , Trygve Almøy , Solve Sæbø

In genetic studies, not only can the number of predictors obtained from microarray measurements be extremely large, there can also be multiple response variables. Motivated by such a situation, we consider semiparametric dimension reduction…

Methodology · Statistics 2013-09-25 Heng Lian , Shujie Ma

Huber loss, its asymmetric variants and their associated functionals (here named Huber functionals) are studied in the context of point forecasting and forecast evaluation. The Huber functional of a distribution is the set of minimizers of…

Statistics Theory · Mathematics 2022-02-17 Robert J. Taggart

Obtaining accurate and well calibrated probability estimates from classifiers is useful in many applications, for example, when minimising the expected cost of classifications. Existing methods of calibrating probability estimates are…

Machine Learning · Computer Science 2018-09-17 Tim Leathart , Eibe Frank , Geoffrey Holmes , Bernhard Pfahringer
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