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Most supervised machine learning tasks are subject to irreducible prediction errors. Probabilistic predictive models address this limitation by providing probability distributions that represent a belief over plausible targets, rather than…

Machine Learning · Statistics 2022-10-25 David Widmann , Fredrik Lindsten , Dave Zachariah

The ability to ensure that a classifier gives reliable confidence scores is essential to ensure informed decision-making. To this end, recent work has focused on miscalibration, i.e., the over or under confidence of model scores. Yet…

Machine Learning · Computer Science 2023-04-28 Alexandre Perez-Lebel , Marine Le Morvan , Gaël Varoquaux

Neural networks solving real-world problems are often required not only to make accurate predictions but also to provide a confidence level in the forecast. The calibration of a model indicates how close the estimated confidence is to the…

Neural and Evolutionary Computing · Computer Science 2023-03-21 Ruslan Vasilev , Alexander D'yakonov

Classifier calibration has received recent attention from the machine learning community due both to its practical utility in facilitating decision making, as well as the observation that modern neural network classifiers are poorly…

Machine Learning · Computer Science 2022-05-24 John Kirchenbauer , Jacob Oaks , Eric Heim

Optimal decision making requires that classifiers produce uncertainty estimates consistent with their empirical accuracy. However, deep neural networks are often under- or over-confident in their predictions. Consequently, methods have been…

Probabilistic classifiers output confidence scores along with their predictions, and these confidence scores should be calibrated, i.e., they should reflect the reliability of the prediction. Confidence scores that minimize standard metrics…

When facing uncertainty, decision-makers want predictions they can trust. A machine learning provider can convey confidence to decision-makers by guaranteeing their predictions are distribution calibrated -- amongst the inputs that receive…

Machine Learning · Statistics 2021-07-14 Shengjia Zhao , Michael P. Kim , Roshni Sahoo , Tengyu Ma , Stefano Ermon

Calibrating deep neural models plays an important role in building reliable, robust AI systems in safety-critical applications. Recent work has shown that modern neural networks that possess high predictive capability are poorly calibrated…

Machine Learning · Computer Science 2025-09-16 Cheng Wang

Partition of unity networks (POU-Nets) have been shown capable of realizing algebraic convergence rates for regression and solution of PDEs, but require empirical tuning of training parameters. We enrich POU-Nets with a Gaussian noise model…

Machine Learning · Computer Science 2021-07-08 Nat Trask , Mamikon Gulian , Andy Huang , Kookjin Lee

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…

Machine Learning · Computer Science 2023-04-07 Markelle Kelly , Padhraic Smyth

This paper investigates novel classifier ensemble techniques for uncertainty calibration applied to various deep neural networks for image classification. We evaluate both accuracy and calibration metrics, focusing on Expected Calibration…

Computer Vision and Pattern Recognition · Computer Science 2025-01-20 Michael Schulze , Nikolas Ebert , Laurenz Reichardt , Oliver Wasenmüller

Within the last few years, there has been a move towards using statistical models in conjunction with neural networks with the end goal of being able to better answer the question, "what do our models know?". From this trend, classical…

Machine Learning · Computer Science 2021-12-03 Achintya Gopal

Data-sparse settings such as robotic manipulation, molecular physics, and galaxy morphology classification are some of the hardest domains for deep learning. For these problems, equivariant networks can help improve modeling across…

Machine Learning · Computer Science 2026-01-30 Edward Berman , Jacob Ginesin , Marco Pacini , Robin Walters

Model calibration measures the agreement between the predicted probability estimates and the true correctness likelihood. Proper model calibration is vital for high-risk applications. Unfortunately, modern deep neural networks are poorly…

Image and Video Processing · Electrical Eng. & Systems 2022-09-14 Skylar E. Stolte , Kyle Volle , Aprinda Indahlastari , Alejandro Albizu , Adam J. Woods , Kevin Brink , Matthew Hale , Ruogu Fang

Modern neural networks can achieve high accuracy while remaining poorly calibrated, producing confidence estimates that do not match empirical correctness. Yet calibration is often treated as a post-hoc attribute. We take a different…

Machine Learning · Computer Science 2026-04-23 Alessandro Morosini , Matea Gjika , Tomaso Poggio , Pierfrancesco Beneventano

In semantic segmentation tasks, input images can often have more than one plausible interpretation, thus allowing for multiple valid labels. To capture such ambiguities, recent work has explored the use of probabilistic networks that can…

Computer Vision and Pattern Recognition · Computer Science 2021-08-05 Elias Kassapis , Georgi Dikov , Deepak K. Gupta , Cedric Nugteren

We propose a generic framework to calibrate accuracy and confidence of a prediction in deep neural networks through stochastic inferences. We interpret stochastic regularization using a Bayesian model, and analyze the relation between…

Machine Learning · Computer Science 2019-04-25 Seonguk Seo , Paul Hongsuck Seo , Bohyung Han

Partition-wise models offer a flexible approach for modeling complex and multidimensional data that are capable of producing interpretable results. They are based on partitioning the observed data into regions, each of which is modeled with…

Methodology · Statistics 2017-06-07 Rex C. Y. Cheung , Alexander Aue , Thomas C. M. Lee

Rigorous statistical methods, including parameter estimation with accompanying uncertainties, underpin the validity of scientific discovery, especially in the natural sciences. With increasingly complex data models such as deep learning…

Machine Learning · Computer Science 2026-02-18 Aurora Grefsrud , Nello Blaser , Trygve Buanes

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