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Paper · arXiv

Bandwidth Selection in Kernel Density Estimation for Model Calibration

As deep learning models are increasingly deployed in high-stakes applications, providing well-calibrated uncertainty estimates has become as critical as achieving high predictive accuracy. While Kernel Density Estimation (KDE) has emerged as a smooth and continuous alternative to traditional binning for quantifying miscalibration, its reliability is heavily dependent on the choice of the kernel bandwidth. Standard selection techniques, such as Maximum Likelihood Estimation (MLE), often fail to produce optimal bandwidths for calibration tasks. In this work, we introduce Risk Alignment (RA), a novel optimization framework that determines the optimal bandwidth by aligning KDE-reconstructed r...

AuthorsHan Zhou, Teodora Popordanoska, Matthew Blaschko
Primary categorycs.LG
Published29 June 2026
Last updated at source29 June 2026
cs.LG
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