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This note relates the calibration of models to the consistent loss functions for the target functional of the model. We demonstrate that a model is calibrated if and only if there is a parameter value that is optimal under all consistent…

Statistics Theory · Mathematics 2025-02-18 Anja Mühlemann , Johanna Ziegel

The proliferation of Deep Neural Networks has resulted in machine learning systems becoming increasingly more present in various real-world applications. Consequently, there is a growing demand for highly reliable models in many domains,…

Computer Vision and Pattern Recognition · Computer Science 2024-03-19 Pedro Conde , Rui L. Lopes , Cristiano Premebida

While the traditional viewpoint in machine learning and statistics assumes training and testing samples come from the same population, practice belies this fiction. One strategy -- coming from robust statistics and optimization -- is thus…

Machine Learning · Statistics 2024-07-08 Maxime Cauchois , Suyash Gupta , Alnur Ali , John C. Duchi

Image-based environment perception is an important component especially for driver assistance systems or autonomous driving. In this scope, modern neuronal networks are used to identify multiple objects as well as the according position and…

Computer Vision and Pattern Recognition · Computer Science 2023-02-07 Fabian Küppers

Traffic microsimulation is a crucial tool that uses microscopic traffic models, such as car-following and lane-change models, to simulate the trajectories of individual agents. This digital platform allows for the assessment of the impact…

Applications · Statistics 2024-10-01 Yanbing Wang , Felipe de Souza , Dominik Karbowski

Predicting not only the target but also an accurate measure of uncertainty is important for many machine learning applications and in particular safety-critical ones. In this work we study the calibration of uncertainty prediction for…

Machine Learning · Computer Science 2020-02-04 Dan Levi , Liran Gispan , Niv Giladi , Ethan Fetaya

In the railway domain, an interlocking is the system ensuring safe train traffic inside a station by controlling its active elements such as the signals or points. Modern interlockings are configured using particular data, called…

Software Engineering · Computer Science 2017-08-07 Quentin Cappart , Christophe Limbree , Pierre Schaus , Jean Quilbeuf , Louis-Marie Traonouez , Axel Legay

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…

Machine Learning · Computer Science 2020-08-11 Jeremy Nixon , Mike Dusenberry , Ghassen Jerfel , Timothy Nguyen , Jeremiah Liu , Linchuan Zhang , Dustin Tran

A key question in evaluation of computer models is Does the computer model adequately represent reality? A six-step process for computer model validation is set out in Bayarri et al. [Technometrics 49 (2007) 138--154] (and briefly…

Many car-following models like the Intelligent Driver Model (IDM) incorporate important aspects of safety in their definitions, such as collision-free driving and keeping safe distances, implying that drivers are safety conscious when…

Used to estimate the risk of an estimator or to perform model selection, cross-validation is a widespread strategy because of its simplicity and its apparent universality. Many results exist on the model selection performances of…

Statistics Theory · Mathematics 2011-02-01 Sylvain Arlot , Alain Celisse

Large language models (LLMs) are widely deployed as general-purpose problem solvers, making accurate confidence estimation critical for reliable use. Prior work on LLM calibration largely focuses on response-level confidence, which…

Computation and Language · Computer Science 2026-02-17 Sin-Han Yang , Cheng-Kuang Wu , Chieh-Yen Lin , Yun-Nung Chen , Hung-yi Lee , Shao-Hua Sun

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

In the recent literature on machine learning and decision making, calibration has emerged as a desirable and widely-studied statistical property of the outputs of binary prediction models. However, the algorithmic aspects of measuring model…

Machine Learning · Computer Science 2024-06-24 Lunjia Hu , Arun Jambulapati , Kevin Tian , Chutong Yang

Validation accuracy is a necessary, but not sufficient, measure of a neural network classifier's quality. High validation accuracy during development does not guarantee that a model is free of serious flaws, such as vulnerability to…

Machine Learning · Computer Science 2019-10-08 John S. Hyatt , Michael S. Lee

The quality and correct functioning of software components embedded in electronic systems are of utmost concern especially for safety and mission-critical systems. Model-based testing and formal verification techniques can be employed to…

Formal Languages and Automata Theory · Computer Science 2019-01-08 Shahbaz Ali , Hailong Sun , Yongwang Zhao

Calibration is commonly evaluated by comparing model confidence with its empirical correctness, implicitly treating reliability as a function of the confidence score alone. However, this view can hide substantial structure: models may be…

Machine Learning · Computer Science 2026-05-14 Katarzyna Kobalczyk , Mihaela van der Schaar

The mathematical models used to represent physical phenomena are generally known to be imperfect representations of reality. Model inadequacies arise for numerous reasons, such as incomplete knowledge of the phenomena or computational…

Computational Engineering, Finance, and Science · Computer Science 2017-02-28 Teresa Portone , Damon McDougall , Robert D. Moser

Generalization to new samples is a fundamental rationale for statistical modeling. For this purpose, model validation is particularly important, but recent work in survey inference has suggested that simple aggregation of individual…

Methodology · Statistics 2024-04-15 Lauren Kennedy , Aki Vehtari , Andrew Gelman

In machine learning, model calibration and predictive inference are essential for producing reliable predictions and quantifying uncertainty to support decision-making. Recognizing the complementary roles of point and interval predictions,…

Machine Learning · Statistics 2024-11-01 Lars van der Laan , Ahmed M. Alaa
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