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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 classification methods usually assume that all possible classes are sufficiently present within the training set. Due to their inherent rarities, extreme events are always under-represented and classifiers tailored for…

Methodology · Statistics 2025-06-12 Juliette Legrand , Philippe Naveau , Marco Oesting

With rapid adoption of deep learning in critical applications, the question of when and how much to trust these models often arises, which drives the need to quantify the inherent uncertainties. While identifying all sources that account…

Machine Learning · Statistics 2019-11-22 Jayaraman J. Thiagarajan , Bindya Venkatesh , Prasanna Sattigeri , Peer-Timo Bremer

The fine-tuning paradigm in addressing long-tail learning tasks has sparked significant interest since the emergence of foundation models. Nonetheless, how fine-tuning impacts performance in long-tail learning was not explicitly quantified.…

Computer Vision and Pattern Recognition · Computer Science 2024-06-04 Jiang-Xin Shi , Tong Wei , Zhi Zhou , Jie-Jing Shao , Xin-Yan Han , Yu-Feng Li

Output uncertainty indicates whether the probabilistic properties reflect objective characteristics of the model output. Unlike most loss functions and metrics in machine learning, uncertainty pertains to individual samples, but validating…

Machine Learning · Computer Science 2024-12-23 Siyuan Zhang , Linbo Xie

Uncertainty in probabilistic classifiers predictions is a key concern when models are used to support human decision making, in broader probabilistic pipelines or when sensitive automatic decisions have to be taken. Studies have shown that…

Machine Learning · Computer Science 2021-09-09 Nicolas Posocco , Antoine Bonnefoy

Object frequency in the real world often follows a power law, leading to a mismatch between datasets with long-tailed class distributions seen by a machine learning model and our expectation of the model to perform well on all classes. We…

Computer Vision and Pattern Recognition · Computer Science 2020-03-25 Muhammad Abdullah Jamal , Matthew Brown , Ming-Hsuan Yang , Liqiang Wang , Boqing Gong

Binary classification is highly used in credit scoring in the estimation of probability of default. The validation of such predictive models is based both on rank ability, and also on calibration (i.e. how accurately the probabilities…

Econometrics · Economics 2017-10-25 Pedro G. Fonseca , Hugo D. Lopes

Extreme geophysical events are of crucial relevance to our daily life: they threaten human lives and cause property damage. To assess the risk and reduce losses, we need to model and probabilistically predict these events. Parametrizations…

Chaotic Dynamics · Physics 2019-09-04 Guannan Hu , Tamás Bódai , Valerio Lucarini

Predictions of the uncertainty associated with extreme events are a vital component of any prediction system for such events. Consequently, the prediction system ought to be probabilistic in nature, with the predictions taking the form of…

Applications · Statistics 2012-10-26 Petra Friederichs , Thordis L. Thorarinsdottir

The path toward realizing the potential of seasonal forecasting and its socioeconomic benefits depends heavily on improving general circulation model based dynamical forecasting systems. To improve dynamical seasonal forecast, it is crucial…

Ongoing developments in neural network models are continually advancing the state of the art in terms of system accuracy. However, the predicted labels should not be regarded as the only core output; also important is a well-calibrated…

Machine Learning · Statistics 2019-01-08 Gil Keren , Nicholas Cummins , Björn Schuller

A common bottleneck in evaluating extremal performance measures is that, due to their very nature, tail data are often very limited. The conventional approach selects the best probability distribution from tail data using parametric…

Computation · Statistics 2018-01-03 Henry Lam , Clementine Mottet

Every prediction is ultimately used in a downstream task. Consequently, evaluating prediction quality is more meaningful when considered in the context of its downstream use. Metrics based solely on predictive performance often diverge from…

Machine Learning · Computer Science 2025-08-26 Novin Shahroudi , Viacheslav Komisarenko , Meelis Kull

Coarse-grained models of chaotic systems neglect unresolved degrees of freedom, inducing structured model error that limits predictability and distorts long-term statistics. Typical data-driven closures are trained to minimize error over a…

Dynamical Systems · Mathematics 2026-03-31 Martin Thomas Brolly

Accurately knowing uncertainties in appearance-based gaze tracking is critical for ensuring reliable downstream applications. Due to the lack of individual uncertainty labels, current uncertainty-aware approaches adopt probabilistic models…

Computer Vision and Pattern Recognition · Computer Science 2026-03-13 Qiaojie Zheng , Jiucai Zhang , Xiaoli Zhang

In this paper we focus on the problem of assigning uncertainties to single-point predictions generated by a deterministic model that outputs a continuous variable. This problem applies to any state-of-the-art physics or engineering models…

Machine Learning · Statistics 2020-03-12 Enrico Camporeale , Algo Carè

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…

Conformal prediction has emerged as a rigorous means of providing deep learning models with reliable uncertainty estimates and safety guarantees. Yet, its performance is known to degrade under distribution shift and long-tailed class…

Machine Learning · Computer Science 2023-07-06 Kevin Kasa , Graham W. Taylor

The energy market relies on forecasting capabilities of both demand and power generation that need to be kept in dynamic balance. Today, when it comes to renewable energy generation, such decisions are increasingly made in a liberalized…

Machine Learning · Computer Science 2022-03-15 Odin Foldvik Eikeland , Finn Dag Hovem , Tom Eirik Olsen , Matteo Chiesa , Filippo Maria Bianchi