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Machine learning classifiers often produce probabilistic predictions that are critical for accurate and interpretable decision-making in various domains. The quality of these predictions is generally evaluated with proper losses, such as…

Machine Learning · Computer Science 2025-06-26 Eugène Berta , David Holzmüller , Michael I. Jordan , Francis Bach

Machine learning models only provide probabilistic guarantees on the expected loss of random samples from the distribution represented by their training data. As a result, a model with high accuracy, may or may not be reliable for…

Databases · Computer Science 2024-04-12 Nima Shahbazi , Abolfazl Asudeh

In many applications, accurate class probability estimates are required, but many types of models produce poor quality probability estimates despite achieving acceptable classification accuracy. Even though probability calibration has been…

Machine Learning · Computer Science 2020-02-18 Tim Leathart , Maksymilian Polaczuk

Accurate conditional prediction in the regression setting plays an important role in many real-world problems. Typically, a point prediction often falls short since no attempt is made to quantify the prediction accuracy. Classically, under…

Methodology · Statistics 2025-09-04 Kejin Wu , Dimitris N. Politis

Calibration means that forecasts and average realized frequencies are close. We develop the concept of forecast hedging, which consists of choosing the forecasts so as to guarantee that the expected track record can only improve. This…

Theoretical Economics · Economics 2022-10-14 Dean P. Foster , Sergiu Hart

In safety-critical applications a probabilistic model is usually required to be calibrated, i.e., to capture the uncertainty of its predictions accurately. In multi-class classification, calibration of the most confident predictions only is…

Machine Learning · Statistics 2022-09-30 David Widmann , Fredrik Lindsten , Dave Zachariah

Probability predictions from binary regressions or machine learning methods ought to be calibrated: If an event is predicted to occur with probability $x$, it should materialize with approximately that frequency, which means that the…

Statistics Theory · Mathematics 2023-01-11 Timo Dimitriadis , Lutz Duembgen , Alexander Henzi , Marius Puke , Johanna Ziegel

Probabilistic models must be well calibrated to support reliable decision-making. While calibration in single-output regression is well studied, defining and achieving multivariate calibration in multi-output regression remains considerably…

Machine Learning · Statistics 2025-10-28 Naomi Desobry , Elnura Zhalieva , Souhaib Ben Taieb

Fueled by discussions around "trustworthiness" and algorithmic fairness, calibration of predictive systems has regained scholars attention. The vanilla definition and understanding of calibration is, simply put, on all days on which the…

Machine Learning · Computer Science 2025-04-28 Rabanus Derr , Jessie Finocchiaro , Robert C. Williamson

Bayesian statistics has gained popularity in psychological research due to its intuitive uncertainty quantification and convenient information-updating rules. In many applications, however, prior distributions are introduced merely as…

Methodology · Statistics 2026-03-10 Yang Liu , Jonathan P. Williams , Jan Hannig

Underlying the use of statistical approaches for a wide range of applications is the assumption that the probabilities obtained from a statistical model are representative of the "true" probability that event, or outcome, will occur.…

Machine Learning · Computer Science 2021-01-15 Xixin Wu , Mark Gales

Explaining the predictions of AI models is paramount in safety-critical applications, such as in legal or medical domains. One form of explanation for a prediction is an extractive rationale, i.e., a subset of features of an instance that…

Computation and Language · Computer Science 2020-12-21 Lei Sha , Oana-Maria Camburu , Thomas Lukasiewicz

The assessment of binary classifier performance traditionally centers on discriminative ability using metrics, such as accuracy. However, these metrics often disregard the model's inherent uncertainty, especially when dealing with sensitive…

Machine Learning · Computer Science 2024-02-13 Agathe Fernandes Machado , Arthur Charpentier , Emmanuel Flachaire , Ewen Gallic , François Hu

We develop scalable methods for producing conformal Bayesian predictive intervals with finite sample calibration guarantees. Bayesian posterior predictive distributions, $p(y \mid x)$, characterize subjective beliefs on outcomes of…

Methodology · Statistics 2021-06-15 Edwin Fong , Chris Holmes

Calibration has emerged as a foundational goal in ``trustworthy machine learning'', in part because of its strong decision theoretic semantics. Independent of the underlying distribution, and independent of the decision maker's utility…

Machine Learning · Statistics 2025-10-28 Shayan Kiyani , Hamed Hassani , George Pappas , Aaron Roth

Modern machine learning models with high accuracy are often miscalibrated -- the predicted top probability does not reflect the actual accuracy, and tends to be over-confident. It is commonly believed that such over-confidence is mainly due…

Machine Learning · Computer Science 2021-07-21 Yu Bai , Song Mei , Huan Wang , Caiming Xiong

A reliable deep learning system should be able to accurately express its confidence with respect to its predictions, a quality known as calibration. One of the most effective ways to produce reliable confidence estimates with a pre-trained…

Machine Learning · Computer Science 2024-10-10 Thomas P. Zollo , Zhun Deng , Jake C. Snell , Toniann Pitassi , Richard Zemel

Machine Learning (ML) models are often complex and difficult to interpret due to their 'black-box' characteristics. Interpretability of a ML model is usually defined as the degree to which a human can understand the cause of decisions…

Methodology · Statistics 2020-06-25 Simon Kocbek , Primoz Kocbek , Leona Cilar , Gregor Stiglic

We study the problem of semantic segmentation calibration. Lots of solutions have been proposed to approach model miscalibration of confidence in image classification. However, to date, confidence calibration research on semantic…

Computer Vision and Pattern Recognition · Computer Science 2023-03-28 Dongdong Wang , Boqing Gong , Liqiang Wang

Predictions are often probabilities; e.g., a prediction could be for precipitation tomorrow, but with only a 30% chance. Given such probabilistic predictions together with the actual outcomes, "reliability diagrams" help detect and diagnose…

Statistics Theory · Mathematics 2022-11-15 Imanol Arrieta-Ibarra , Paman Gujral , Jonathan Tannen , Mark Tygert , Cherie Xu
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