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Main Authors: Snell, Jake C., Griffiths, Thomas L.
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2502.13228
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author Snell, Jake C.
Griffiths, Thomas L.
author_facet Snell, Jake C.
Griffiths, Thomas L.
contents As machine learning-based prediction systems are increasingly used in high-stakes situations, it is important to understand how such predictive models will perform upon deployment. Distribution-free uncertainty quantification techniques such as conformal prediction provide guarantees about the loss black-box models will incur even when the details of the models are hidden. However, such methods are based on frequentist probability, which unduly limits their applicability. We revisit the central aspects of conformal prediction from a Bayesian perspective and thereby illuminate the shortcomings of frequentist guarantees. We propose a practical alternative based on Bayesian quadrature that provides interpretable guarantees and offers a richer representation of the likely range of losses to be observed at test time.
format Preprint
id arxiv_https___arxiv_org_abs_2502_13228
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Conformal Prediction as Bayesian Quadrature
Snell, Jake C.
Griffiths, Thomas L.
Machine Learning
Artificial Intelligence
As machine learning-based prediction systems are increasingly used in high-stakes situations, it is important to understand how such predictive models will perform upon deployment. Distribution-free uncertainty quantification techniques such as conformal prediction provide guarantees about the loss black-box models will incur even when the details of the models are hidden. However, such methods are based on frequentist probability, which unduly limits their applicability. We revisit the central aspects of conformal prediction from a Bayesian perspective and thereby illuminate the shortcomings of frequentist guarantees. We propose a practical alternative based on Bayesian quadrature that provides interpretable guarantees and offers a richer representation of the likely range of losses to be observed at test time.
title Conformal Prediction as Bayesian Quadrature
topic Machine Learning
Artificial Intelligence
url https://arxiv.org/abs/2502.13228