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Calibration refers to the estimation of unknown parameters which are present in computer experiments but not available in physical experiments. An accurate estimation of these parameters is important because it provides a scientific…

统计方法学 · 统计学 2019-03-21 Chih-Li Sung , Ying Hung , William Rittase , Cheng Zhu , C. F. Jeff Wu

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…

机器学习 · 统计学 2021-07-14 Shengjia Zhao , Michael P. Kim , Roshni Sahoo , Tengyu Ma , Stefano Ermon

We provide another look at the statistical calibration problem in computer models. This viewpoint is inspired by two overarching practical considerations of computer models: (i) many computer models are inadequate for perfectly modeling…

统计方法学 · 统计学 2018-09-26 Xiaowu Dai , Peter Chien

In a low-order model of the general circulation of the atmosphere we examine the predictability of threshold exceedance events of certain observables. The likelihood of such binary events -- the cornerstone also for the categoric (as…

混沌动力学 · 物理学 2015-10-28 Tamas Bodai

Confidence calibration of classification models is a technique to estimate the true posterior probability of the predicted class, which is critical for ensuring reliable decision-making in practical applications. Existing confidence…

统计方法学 · 统计学 2025-02-19 Jinzong Dong , Zhaohui Jiang , Dong Pan , Haoyang Yu

The Expected Calibration Error (ece), the dominant calibration metric in machine learning, compares predicted probabilities against empirical frequencies of binary outcomes. This is appropriate when labels are binary events. However, many…

机器学习 · 计算机科学 2026-03-17 Michael Leznik

Kernel techniques are among the most popular and flexible approaches in data science allowing to represent probability measures without loss of information under mild conditions. The resulting mapping called mean embedding gives rise to a…

机器学习 · 统计学 2024-11-27 Linda Chamakh , Zoltan Szabo

We initiate the study of the truthfulness of calibration measures in sequential prediction. A calibration measure is said to be truthful if the forecaster (approximately) minimizes the expected penalty by predicting the conditional…

机器学习 · 计算机科学 2024-11-22 Nika Haghtalab , Mingda Qiao , Kunhe Yang , Eric Zhao

Ensemble forecasts of weather and climate are subject to systematic biases in the ensemble mean and variance, leading to inaccurate estimates of the forecast mean and variance. To address these biases, ensemble forecasts are post-processed…

应用统计 · 统计学 2016-05-25 Stefan Siegert , Philip G. Sansom , Robin Williams

Being cautious is crucial for enhancing the trustworthiness of machine learning systems integrated into decision-making pipelines. Although calibrated probabilities help in optimal decision-making, perfect calibration remains unattainable,…

机器学习 · 计算机科学 2024-08-12 Mari-Liis Allikivi , Joonas Järve , Meelis Kull

When developing risk prediction models, shrinkage methods are recommended, especially when the sample size is limited. Several earlier studies have shown that the shrinkage of model coefficients can reduce overfitting of the prediction…

统计方法学 · 统计学 2019-07-29 Ben Van Calster , Maarten van Smeden , Ewout W. Steyerberg

A composite likelihood is a non-genuine likelihood function that allows to make inference on limited aspects of a model, such as marginal or conditional distributions. Composite likelihoods are not proper likelihoods and need therefore…

统计方法学 · 统计学 2021-04-06 Michele Lambardi di San Miniato , Nicola Sartori

Conformal prediction is a non-parametric technique for constructing prediction intervals or sets from arbitrary predictive models under the assumption that the data is exchangeable. It is popular as it comes with theoretical guarantees on…

机器学习 · 统计学 2025-12-01 Jase Clarkson , Wenkai Xu , Mihai Cucuringu , Yvik Swan , Gesine Reinert

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…

机器学习 · 计算机科学 2020-02-04 Dan Levi , Liran Gispan , Niv Giladi , Ethan Fetaya

This paper tackles the challenge of detecting unreliable behavior in regression algorithms, which may arise from intrinsic variability (e.g., aleatoric uncertainty) or modeling errors (e.g., model uncertainty). First, we formally introduce…

机器学习 · 计算机科学 2024-06-12 Andres Altieri , Marco Romanelli , Georg Pichler , Florence Alberge , Pablo Piantanida

Calibration measures quantify how much a forecaster's predictions violates calibration, which requires that forecasts are unbiased conditioning on the forecasted probabilities. Two important desiderata for a calibration measure are its…

机器学习 · 计算机科学 2025-03-05 Mingda Qiao , Eric Zhao

Recent advances in machine learning make it possible to design efficient prediction algorithms for data sets with huge numbers of parameters. This paper describes a new technique for "hedging" the predictions output by many such algorithms,…

机器学习 · 计算机科学 2011-11-22 Alexander Gammerman , Vladimir Vovk

AI generated predictions increasingly inform decision making in critical tasks, and therefore must be trustworthy. One widely used measure of trustworthiness is calibration, which requires that the predictions match the true frequencies and…

机器学习 · 计算机科学 2026-05-19 Konstantina Bairaktari , Lunjia Hu , Huy L. Nguyen , Jonathan Ullman

Suppose data are fitted to some parametric model but that the true model happens to be one with an additional parameter. When a parameter is to be estimated one can use likelihood estimation in the wider model or in the narrow model.…

统计方法学 · 统计学 2026-03-27 Nils Lid Hjort

We are concerned with obtaining well-calibrated output distributions from regression models. Such distributions allow us to quantify the uncertainty that the model has regarding the predicted target value. We introduce the novel concept of…

机器学习 · 统计学 2019-05-16 Hao Song , Tom Diethe , Meelis Kull , Peter Flach